Identifier
Mp00069:
Permutations
—complement⟶
Permutations
Mp00070: Permutations —Robinson-Schensted recording tableau⟶ Standard tableaux
Mp00295: Standard tableaux —valley composition⟶ Integer compositions
Mp00070: Permutations —Robinson-Schensted recording tableau⟶ Standard tableaux
Mp00295: Standard tableaux —valley composition⟶ Integer compositions
Images
=>
Cc0007;cc-rep-2
[1]=>[1]=>[[1]]=>[1]
[1,2]=>[2,1]=>[[1],[2]]=>[2]
[2,1]=>[1,2]=>[[1,2]]=>[2]
[1,2,3]=>[3,2,1]=>[[1],[2],[3]]=>[3]
[1,3,2]=>[3,1,2]=>[[1,3],[2]]=>[2,1]
[2,1,3]=>[2,3,1]=>[[1,2],[3]]=>[3]
[2,3,1]=>[2,1,3]=>[[1,3],[2]]=>[2,1]
[3,1,2]=>[1,3,2]=>[[1,2],[3]]=>[3]
[3,2,1]=>[1,2,3]=>[[1,2,3]]=>[3]
[1,2,3,4]=>[4,3,2,1]=>[[1],[2],[3],[4]]=>[4]
[1,2,4,3]=>[4,3,1,2]=>[[1,4],[2],[3]]=>[3,1]
[1,3,2,4]=>[4,2,3,1]=>[[1,3],[2],[4]]=>[2,2]
[1,3,4,2]=>[4,2,1,3]=>[[1,4],[2],[3]]=>[3,1]
[1,4,2,3]=>[4,1,3,2]=>[[1,3],[2],[4]]=>[2,2]
[1,4,3,2]=>[4,1,2,3]=>[[1,3,4],[2]]=>[2,2]
[2,1,3,4]=>[3,4,2,1]=>[[1,2],[3],[4]]=>[4]
[2,1,4,3]=>[3,4,1,2]=>[[1,2],[3,4]]=>[3,1]
[2,3,1,4]=>[3,2,4,1]=>[[1,3],[2],[4]]=>[2,2]
[2,3,4,1]=>[3,2,1,4]=>[[1,4],[2],[3]]=>[3,1]
[2,4,1,3]=>[3,1,4,2]=>[[1,3],[2,4]]=>[2,2]
[2,4,3,1]=>[3,1,2,4]=>[[1,3,4],[2]]=>[2,2]
[3,1,2,4]=>[2,4,3,1]=>[[1,2],[3],[4]]=>[4]
[3,1,4,2]=>[2,4,1,3]=>[[1,2],[3,4]]=>[3,1]
[3,2,1,4]=>[2,3,4,1]=>[[1,2,3],[4]]=>[4]
[3,2,4,1]=>[2,3,1,4]=>[[1,2,4],[3]]=>[3,1]
[3,4,1,2]=>[2,1,4,3]=>[[1,3],[2,4]]=>[2,2]
[3,4,2,1]=>[2,1,3,4]=>[[1,3,4],[2]]=>[2,2]
[4,1,2,3]=>[1,4,3,2]=>[[1,2],[3],[4]]=>[4]
[4,1,3,2]=>[1,4,2,3]=>[[1,2,4],[3]]=>[3,1]
[4,2,1,3]=>[1,3,4,2]=>[[1,2,3],[4]]=>[4]
[4,2,3,1]=>[1,3,2,4]=>[[1,2,4],[3]]=>[3,1]
[4,3,1,2]=>[1,2,4,3]=>[[1,2,3],[4]]=>[4]
[4,3,2,1]=>[1,2,3,4]=>[[1,2,3,4]]=>[4]
[1,2,3,4,5]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>[5]
[1,2,3,5,4]=>[5,4,3,1,2]=>[[1,5],[2],[3],[4]]=>[4,1]
[1,2,4,3,5]=>[5,4,2,3,1]=>[[1,4],[2],[3],[5]]=>[3,2]
[1,2,4,5,3]=>[5,4,2,1,3]=>[[1,5],[2],[3],[4]]=>[4,1]
[1,2,5,3,4]=>[5,4,1,3,2]=>[[1,4],[2],[3],[5]]=>[3,2]
[1,2,5,4,3]=>[5,4,1,2,3]=>[[1,4,5],[2],[3]]=>[3,2]
[1,3,2,4,5]=>[5,3,4,2,1]=>[[1,3],[2],[4],[5]]=>[2,3]
[1,3,2,5,4]=>[5,3,4,1,2]=>[[1,3],[2,5],[4]]=>[2,2,1]
[1,3,4,2,5]=>[5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>[3,2]
[1,3,4,5,2]=>[5,3,2,1,4]=>[[1,5],[2],[3],[4]]=>[4,1]
[1,3,5,2,4]=>[5,3,1,4,2]=>[[1,4],[2,5],[3]]=>[3,2]
[1,3,5,4,2]=>[5,3,1,2,4]=>[[1,4,5],[2],[3]]=>[3,2]
[1,4,2,3,5]=>[5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>[2,3]
[1,4,2,5,3]=>[5,2,4,1,3]=>[[1,3],[2,5],[4]]=>[2,2,1]
[1,4,3,2,5]=>[5,2,3,4,1]=>[[1,3,4],[2],[5]]=>[2,3]
[1,4,3,5,2]=>[5,2,3,1,4]=>[[1,3,5],[2],[4]]=>[2,2,1]
[1,4,5,2,3]=>[5,2,1,4,3]=>[[1,4],[2,5],[3]]=>[3,2]
[1,4,5,3,2]=>[5,2,1,3,4]=>[[1,4,5],[2],[3]]=>[3,2]
[1,5,2,3,4]=>[5,1,4,3,2]=>[[1,3],[2],[4],[5]]=>[2,3]
[1,5,2,4,3]=>[5,1,4,2,3]=>[[1,3,5],[2],[4]]=>[2,2,1]
[1,5,3,2,4]=>[5,1,3,4,2]=>[[1,3,4],[2],[5]]=>[2,3]
[1,5,3,4,2]=>[5,1,3,2,4]=>[[1,3,5],[2],[4]]=>[2,2,1]
[1,5,4,2,3]=>[5,1,2,4,3]=>[[1,3,4],[2],[5]]=>[2,3]
[1,5,4,3,2]=>[5,1,2,3,4]=>[[1,3,4,5],[2]]=>[2,3]
[2,1,3,4,5]=>[4,5,3,2,1]=>[[1,2],[3],[4],[5]]=>[5]
[2,1,3,5,4]=>[4,5,3,1,2]=>[[1,2],[3,5],[4]]=>[4,1]
[2,1,4,3,5]=>[4,5,2,3,1]=>[[1,2],[3,4],[5]]=>[3,2]
[2,1,4,5,3]=>[4,5,2,1,3]=>[[1,2],[3,5],[4]]=>[4,1]
[2,1,5,3,4]=>[4,5,1,3,2]=>[[1,2],[3,4],[5]]=>[3,2]
[2,1,5,4,3]=>[4,5,1,2,3]=>[[1,2,5],[3,4]]=>[3,2]
[2,3,1,4,5]=>[4,3,5,2,1]=>[[1,3],[2],[4],[5]]=>[2,3]
[2,3,1,5,4]=>[4,3,5,1,2]=>[[1,3],[2,5],[4]]=>[2,2,1]
[2,3,4,1,5]=>[4,3,2,5,1]=>[[1,4],[2],[3],[5]]=>[3,2]
[2,3,4,5,1]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>[4,1]
[2,3,5,1,4]=>[4,3,1,5,2]=>[[1,4],[2,5],[3]]=>[3,2]
[2,3,5,4,1]=>[4,3,1,2,5]=>[[1,4,5],[2],[3]]=>[3,2]
[2,4,1,3,5]=>[4,2,5,3,1]=>[[1,3],[2,4],[5]]=>[2,3]
[2,4,1,5,3]=>[4,2,5,1,3]=>[[1,3],[2,5],[4]]=>[2,2,1]
[2,4,3,1,5]=>[4,2,3,5,1]=>[[1,3,4],[2],[5]]=>[2,3]
[2,4,3,5,1]=>[4,2,3,1,5]=>[[1,3,5],[2],[4]]=>[2,2,1]
[2,4,5,1,3]=>[4,2,1,5,3]=>[[1,4],[2,5],[3]]=>[3,2]
[2,4,5,3,1]=>[4,2,1,3,5]=>[[1,4,5],[2],[3]]=>[3,2]
[2,5,1,3,4]=>[4,1,5,3,2]=>[[1,3],[2,4],[5]]=>[2,3]
[2,5,1,4,3]=>[4,1,5,2,3]=>[[1,3,5],[2,4]]=>[2,2,1]
[2,5,3,1,4]=>[4,1,3,5,2]=>[[1,3,4],[2],[5]]=>[2,3]
[2,5,3,4,1]=>[4,1,3,2,5]=>[[1,3,5],[2],[4]]=>[2,2,1]
[2,5,4,1,3]=>[4,1,2,5,3]=>[[1,3,4],[2,5]]=>[2,3]
[2,5,4,3,1]=>[4,1,2,3,5]=>[[1,3,4,5],[2]]=>[2,3]
[3,1,2,4,5]=>[3,5,4,2,1]=>[[1,2],[3],[4],[5]]=>[5]
[3,1,2,5,4]=>[3,5,4,1,2]=>[[1,2],[3,5],[4]]=>[4,1]
[3,1,4,2,5]=>[3,5,2,4,1]=>[[1,2],[3,4],[5]]=>[3,2]
[3,1,4,5,2]=>[3,5,2,1,4]=>[[1,2],[3,5],[4]]=>[4,1]
[3,1,5,2,4]=>[3,5,1,4,2]=>[[1,2],[3,4],[5]]=>[3,2]
[3,1,5,4,2]=>[3,5,1,2,4]=>[[1,2,5],[3,4]]=>[3,2]
[3,2,1,4,5]=>[3,4,5,2,1]=>[[1,2,3],[4],[5]]=>[5]
[3,2,1,5,4]=>[3,4,5,1,2]=>[[1,2,3],[4,5]]=>[4,1]
[3,2,4,1,5]=>[3,4,2,5,1]=>[[1,2,4],[3],[5]]=>[3,2]
[3,2,4,5,1]=>[3,4,2,1,5]=>[[1,2,5],[3],[4]]=>[4,1]
[3,2,5,1,4]=>[3,4,1,5,2]=>[[1,2,4],[3,5]]=>[3,2]
[3,2,5,4,1]=>[3,4,1,2,5]=>[[1,2,5],[3,4]]=>[3,2]
[3,4,1,2,5]=>[3,2,5,4,1]=>[[1,3],[2,4],[5]]=>[2,3]
[3,4,1,5,2]=>[3,2,5,1,4]=>[[1,3],[2,5],[4]]=>[2,2,1]
[3,4,2,1,5]=>[3,2,4,5,1]=>[[1,3,4],[2],[5]]=>[2,3]
[3,4,2,5,1]=>[3,2,4,1,5]=>[[1,3,5],[2],[4]]=>[2,2,1]
[3,4,5,1,2]=>[3,2,1,5,4]=>[[1,4],[2,5],[3]]=>[3,2]
[3,4,5,2,1]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>[3,2]
[3,5,1,2,4]=>[3,1,5,4,2]=>[[1,3],[2,4],[5]]=>[2,3]
[3,5,1,4,2]=>[3,1,5,2,4]=>[[1,3,5],[2,4]]=>[2,2,1]
[3,5,2,1,4]=>[3,1,4,5,2]=>[[1,3,4],[2,5]]=>[2,3]
[3,5,2,4,1]=>[3,1,4,2,5]=>[[1,3,5],[2,4]]=>[2,2,1]
[3,5,4,1,2]=>[3,1,2,5,4]=>[[1,3,4],[2,5]]=>[2,3]
[3,5,4,2,1]=>[3,1,2,4,5]=>[[1,3,4,5],[2]]=>[2,3]
[4,1,2,3,5]=>[2,5,4,3,1]=>[[1,2],[3],[4],[5]]=>[5]
[4,1,2,5,3]=>[2,5,4,1,3]=>[[1,2],[3,5],[4]]=>[4,1]
[4,1,3,2,5]=>[2,5,3,4,1]=>[[1,2,4],[3],[5]]=>[3,2]
[4,1,3,5,2]=>[2,5,3,1,4]=>[[1,2,5],[3],[4]]=>[4,1]
[4,1,5,2,3]=>[2,5,1,4,3]=>[[1,2],[3,4],[5]]=>[3,2]
[4,1,5,3,2]=>[2,5,1,3,4]=>[[1,2,5],[3,4]]=>[3,2]
[4,2,1,3,5]=>[2,4,5,3,1]=>[[1,2,3],[4],[5]]=>[5]
[4,2,1,5,3]=>[2,4,5,1,3]=>[[1,2,3],[4,5]]=>[4,1]
[4,2,3,1,5]=>[2,4,3,5,1]=>[[1,2,4],[3],[5]]=>[3,2]
[4,2,3,5,1]=>[2,4,3,1,5]=>[[1,2,5],[3],[4]]=>[4,1]
[4,2,5,1,3]=>[2,4,1,5,3]=>[[1,2,4],[3,5]]=>[3,2]
[4,2,5,3,1]=>[2,4,1,3,5]=>[[1,2,5],[3,4]]=>[3,2]
[4,3,1,2,5]=>[2,3,5,4,1]=>[[1,2,3],[4],[5]]=>[5]
[4,3,1,5,2]=>[2,3,5,1,4]=>[[1,2,3],[4,5]]=>[4,1]
[4,3,2,1,5]=>[2,3,4,5,1]=>[[1,2,3,4],[5]]=>[5]
[4,3,2,5,1]=>[2,3,4,1,5]=>[[1,2,3,5],[4]]=>[4,1]
[4,3,5,1,2]=>[2,3,1,5,4]=>[[1,2,4],[3,5]]=>[3,2]
[4,3,5,2,1]=>[2,3,1,4,5]=>[[1,2,4,5],[3]]=>[3,2]
[4,5,1,2,3]=>[2,1,5,4,3]=>[[1,3],[2,4],[5]]=>[2,3]
[4,5,1,3,2]=>[2,1,5,3,4]=>[[1,3,5],[2,4]]=>[2,2,1]
[4,5,2,1,3]=>[2,1,4,5,3]=>[[1,3,4],[2,5]]=>[2,3]
[4,5,2,3,1]=>[2,1,4,3,5]=>[[1,3,5],[2,4]]=>[2,2,1]
[4,5,3,1,2]=>[2,1,3,5,4]=>[[1,3,4],[2,5]]=>[2,3]
[4,5,3,2,1]=>[2,1,3,4,5]=>[[1,3,4,5],[2]]=>[2,3]
[5,1,2,3,4]=>[1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>[5]
[5,1,2,4,3]=>[1,5,4,2,3]=>[[1,2,5],[3],[4]]=>[4,1]
[5,1,3,2,4]=>[1,5,3,4,2]=>[[1,2,4],[3],[5]]=>[3,2]
[5,1,3,4,2]=>[1,5,3,2,4]=>[[1,2,5],[3],[4]]=>[4,1]
[5,1,4,2,3]=>[1,5,2,4,3]=>[[1,2,4],[3],[5]]=>[3,2]
[5,1,4,3,2]=>[1,5,2,3,4]=>[[1,2,4,5],[3]]=>[3,2]
[5,2,1,3,4]=>[1,4,5,3,2]=>[[1,2,3],[4],[5]]=>[5]
[5,2,1,4,3]=>[1,4,5,2,3]=>[[1,2,3],[4,5]]=>[4,1]
[5,2,3,1,4]=>[1,4,3,5,2]=>[[1,2,4],[3],[5]]=>[3,2]
[5,2,3,4,1]=>[1,4,3,2,5]=>[[1,2,5],[3],[4]]=>[4,1]
[5,2,4,1,3]=>[1,4,2,5,3]=>[[1,2,4],[3,5]]=>[3,2]
[5,2,4,3,1]=>[1,4,2,3,5]=>[[1,2,4,5],[3]]=>[3,2]
[5,3,1,2,4]=>[1,3,5,4,2]=>[[1,2,3],[4],[5]]=>[5]
[5,3,1,4,2]=>[1,3,5,2,4]=>[[1,2,3],[4,5]]=>[4,1]
[5,3,2,1,4]=>[1,3,4,5,2]=>[[1,2,3,4],[5]]=>[5]
[5,3,2,4,1]=>[1,3,4,2,5]=>[[1,2,3,5],[4]]=>[4,1]
[5,3,4,1,2]=>[1,3,2,5,4]=>[[1,2,4],[3,5]]=>[3,2]
[5,3,4,2,1]=>[1,3,2,4,5]=>[[1,2,4,5],[3]]=>[3,2]
[5,4,1,2,3]=>[1,2,5,4,3]=>[[1,2,3],[4],[5]]=>[5]
[5,4,1,3,2]=>[1,2,5,3,4]=>[[1,2,3,5],[4]]=>[4,1]
[5,4,2,1,3]=>[1,2,4,5,3]=>[[1,2,3,4],[5]]=>[5]
[5,4,2,3,1]=>[1,2,4,3,5]=>[[1,2,3,5],[4]]=>[4,1]
[5,4,3,1,2]=>[1,2,3,5,4]=>[[1,2,3,4],[5]]=>[5]
[5,4,3,2,1]=>[1,2,3,4,5]=>[[1,2,3,4,5]]=>[5]
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>[6]
[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[[1,6],[2],[3],[4],[5]]=>[5,1]
[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[[1,5],[2],[3],[4],[6]]=>[4,2]
[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>[[1,6],[2],[3],[4],[5]]=>[5,1]
[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>[[1,5],[2],[3],[4],[6]]=>[4,2]
[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[3,3]
[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>[[1,5],[2],[3],[4],[6]]=>[4,2]
[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>[[1,6],[2],[3],[4],[5]]=>[5,1]
[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[1,2,4,6,5,3]=>[6,5,3,1,2,4]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>[[1,4],[2],[3],[5],[6]]=>[3,3]
[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[1,2,5,4,6,3]=>[6,5,2,3,1,4]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[1,2,5,6,4,3]=>[6,5,2,1,3,4]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>[[1,4],[2],[3],[5],[6]]=>[3,3]
[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[1,4,5,6],[2],[3]]=>[3,3]
[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>[2,4]
[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>[[1,4],[2],[3],[5],[6]]=>[3,3]
[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>[4,2]
[1,3,4,5,6,2]=>[6,4,3,2,1,5]=>[[1,6],[2],[3],[4],[5]]=>[5,1]
[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[1,3,4,6,5,2]=>[6,4,3,1,2,5]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[1,3,5,4,2,6]=>[6,4,2,3,5,1]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[1,3,5,4,6,2]=>[6,4,2,3,1,5]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[1,3,5,6,4,2]=>[6,4,2,1,3,5]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[1,3,6,4,2,5]=>[6,4,1,3,5,2]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[1,3,6,4,5,2]=>[6,4,1,3,2,5]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[[1,4,5],[2,6],[3]]=>[3,3]
[1,3,6,5,4,2]=>[6,4,1,2,3,5]=>[[1,4,5,6],[2],[3]]=>[3,3]
[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>[[1,3],[2],[4],[5],[6]]=>[2,4]
[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[1,4,2,6,5,3]=>[6,3,5,1,2,4]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[1,4,3,5,2,6]=>[6,3,4,2,5,1]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[1,4,3,5,6,2]=>[6,3,4,2,1,5]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[1,4,3,6,5,2]=>[6,3,4,1,2,5]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[1,4,5,3,2,6]=>[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[1,4,5,3,6,2]=>[6,3,2,4,1,5]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[1,4,5,6,3,2]=>[6,3,2,1,4,5]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[[1,4,5],[2,6],[3]]=>[3,3]
[1,4,6,3,5,2]=>[6,3,1,4,2,5]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[1,4,6,5,2,3]=>[6,3,1,2,5,4]=>[[1,4,5],[2,6],[3]]=>[3,3]
[1,4,6,5,3,2]=>[6,3,1,2,4,5]=>[[1,4,5,6],[2],[3]]=>[3,3]
[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[2,4]
[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[1,5,2,6,4,3]=>[6,2,5,1,3,4]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[1,5,3,2,6,4]=>[6,2,4,5,1,3]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[1,5,3,4,6,2]=>[6,2,4,3,1,5]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[1,5,3,6,4,2]=>[6,2,4,1,3,5]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[1,5,4,2,6,3]=>[6,2,3,5,1,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[2,4]
[1,5,4,3,6,2]=>[6,2,3,4,1,5]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[1,5,4,6,2,3]=>[6,2,3,1,5,4]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[1,5,4,6,3,2]=>[6,2,3,1,4,5]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>[[1,4,5],[2,6],[3]]=>[3,3]
[1,5,6,3,4,2]=>[6,2,1,4,3,5]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[1,4,5],[2,6],[3]]=>[3,3]
[1,5,6,4,3,2]=>[6,2,1,3,4,5]=>[[1,4,5,6],[2],[3]]=>[3,3]
[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>[[1,3],[2],[4],[5],[6]]=>[2,4]
[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[1,6,3,4,2,5]=>[6,1,4,3,5,2]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[1,6,4,2,5,3]=>[6,1,3,5,2,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>[[1,3,4,5],[2],[6]]=>[2,4]
[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[1,6,4,5,2,3]=>[6,1,3,2,5,4]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[1,6,4,5,3,2]=>[6,1,3,2,4,5]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>[[1,3,4,5],[2],[6]]=>[2,4]
[1,6,5,3,4,2]=>[6,1,2,4,3,5]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>[[1,3,4,5],[2],[6]]=>[2,4]
[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[1,3,4,5,6],[2]]=>[2,4]
[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6]]=>[6]
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[2,1,3,5,6,4]=>[5,6,4,2,1,3]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[2,1,3,6,4,5]=>[5,6,4,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[1,2,6],[3,5],[4]]=>[4,2]
[2,1,4,3,5,6]=>[5,6,3,4,2,1]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>[3,2,1]
[2,1,4,5,3,6]=>[5,6,3,2,4,1]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[2,1,4,5,6,3]=>[5,6,3,2,1,4]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[[1,2],[3,5],[4,6]]=>[4,2]
[2,1,4,6,5,3]=>[5,6,3,1,2,4]=>[[1,2,6],[3,5],[4]]=>[4,2]
[2,1,5,3,4,6]=>[5,6,2,4,3,1]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[2,1,5,3,6,4]=>[5,6,2,4,1,3]=>[[1,2],[3,4],[5,6]]=>[3,2,1]
[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[1,2,5],[3,4],[6]]=>[3,3]
[2,1,5,4,6,3]=>[5,6,2,3,1,4]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[2,1,5,6,3,4]=>[5,6,2,1,4,3]=>[[1,2],[3,5],[4,6]]=>[4,2]
[2,1,5,6,4,3]=>[5,6,2,1,3,4]=>[[1,2,6],[3,5],[4]]=>[4,2]
[2,1,6,3,4,5]=>[5,6,1,4,3,2]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[2,1,6,3,5,4]=>[5,6,1,4,2,3]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[2,1,6,4,3,5]=>[5,6,1,3,4,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[2,1,6,5,3,4]=>[5,6,1,2,4,3]=>[[1,2,5],[3,4],[6]]=>[3,3]
[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[1,2,5,6],[3,4]]=>[3,3]
[2,3,1,4,5,6]=>[5,4,6,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>[2,4]
[2,3,1,4,6,5]=>[5,4,6,3,1,2]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[2,3,1,5,4,6]=>[5,4,6,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[2,3,1,5,6,4]=>[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[2,3,1,6,5,4]=>[5,4,6,1,2,3]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[2,3,4,1,5,6]=>[5,4,3,6,2,1]=>[[1,4],[2],[3],[5],[6]]=>[3,3]
[2,3,4,1,6,5]=>[5,4,3,6,1,2]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[2,3,4,5,1,6]=>[5,4,3,2,6,1]=>[[1,5],[2],[3],[4],[6]]=>[4,2]
[2,3,4,5,6,1]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>[5,1]
[2,3,4,6,1,5]=>[5,4,3,1,6,2]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[2,3,4,6,5,1]=>[5,4,3,1,2,6]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[2,3,5,1,4,6]=>[5,4,2,6,3,1]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[2,3,5,1,6,4]=>[5,4,2,6,1,3]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[2,3,5,4,1,6]=>[5,4,2,3,6,1]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[2,3,5,4,6,1]=>[5,4,2,3,1,6]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[2,3,5,6,1,4]=>[5,4,2,1,6,3]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[2,3,5,6,4,1]=>[5,4,2,1,3,6]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[2,3,6,1,5,4]=>[5,4,1,6,2,3]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[2,3,6,4,1,5]=>[5,4,1,3,6,2]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[2,3,6,4,5,1]=>[5,4,1,3,2,6]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[2,3,6,5,1,4]=>[5,4,1,2,6,3]=>[[1,4,5],[2,6],[3]]=>[3,3]
[2,3,6,5,4,1]=>[5,4,1,2,3,6]=>[[1,4,5,6],[2],[3]]=>[3,3]
[2,4,1,3,5,6]=>[5,3,6,4,2,1]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[1,3],[2,4],[5,6]]=>[2,3,1]
[2,4,1,5,3,6]=>[5,3,6,2,4,1]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[2,4,1,5,6,3]=>[5,3,6,2,1,4]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[[1,3],[2,5],[4,6]]=>[2,2,2]
[2,4,1,6,5,3]=>[5,3,6,1,2,4]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[2,4,3,1,5,6]=>[5,3,4,6,2,1]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[2,4,3,1,6,5]=>[5,3,4,6,1,2]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,4,3,5,1,6]=>[5,3,4,2,6,1]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[2,4,3,5,6,1]=>[5,3,4,2,1,6]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[2,4,3,6,1,5]=>[5,3,4,1,6,2]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[2,4,3,6,5,1]=>[5,3,4,1,2,6]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[2,4,5,1,3,6]=>[5,3,2,6,4,1]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[2,4,5,1,6,3]=>[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[2,4,5,3,1,6]=>[5,3,2,4,6,1]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[2,4,5,3,6,1]=>[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[2,4,5,6,1,3]=>[5,3,2,1,6,4]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[2,4,5,6,3,1]=>[5,3,2,1,4,6]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[[1,4],[2,5],[3,6]]=>[3,3]
[2,4,6,1,5,3]=>[5,3,1,6,2,4]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[2,4,6,3,1,5]=>[5,3,1,4,6,2]=>[[1,4,5],[2,6],[3]]=>[3,3]
[2,4,6,3,5,1]=>[5,3,1,4,2,6]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[2,4,6,5,1,3]=>[5,3,1,2,6,4]=>[[1,4,5],[2,6],[3]]=>[3,3]
[2,4,6,5,3,1]=>[5,3,1,2,4,6]=>[[1,4,5,6],[2],[3]]=>[3,3]
[2,5,1,3,4,6]=>[5,2,6,4,3,1]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[2,5,1,3,6,4]=>[5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>[2,3,1]
[2,5,1,4,3,6]=>[5,2,6,3,4,1]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[2,5,1,4,6,3]=>[5,2,6,3,1,4]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[2,5,1,6,3,4]=>[5,2,6,1,4,3]=>[[1,3],[2,5],[4,6]]=>[2,2,2]
[2,5,1,6,4,3]=>[5,2,6,1,3,4]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[2,5,3,1,4,6]=>[5,2,4,6,3,1]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[2,5,3,1,6,4]=>[5,2,4,6,1,3]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,5,3,4,1,6]=>[5,2,4,3,6,1]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[2,5,3,4,6,1]=>[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[2,5,3,6,1,4]=>[5,2,4,1,6,3]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[2,5,3,6,4,1]=>[5,2,4,1,3,6]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[2,5,4,1,3,6]=>[5,2,3,6,4,1]=>[[1,3,4],[2,5],[6]]=>[2,4]
[2,5,4,1,6,3]=>[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,5,4,3,1,6]=>[5,2,3,4,6,1]=>[[1,3,4,5],[2],[6]]=>[2,4]
[2,5,4,3,6,1]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[2,5,4,6,1,3]=>[5,2,3,1,6,4]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[2,5,4,6,3,1]=>[5,2,3,1,4,6]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[2,5,6,1,3,4]=>[5,2,1,6,4,3]=>[[1,4],[2,5],[3,6]]=>[3,3]
[2,5,6,1,4,3]=>[5,2,1,6,3,4]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[2,5,6,3,1,4]=>[5,2,1,4,6,3]=>[[1,4,5],[2,6],[3]]=>[3,3]
[2,5,6,3,4,1]=>[5,2,1,4,3,6]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[2,5,6,4,1,3]=>[5,2,1,3,6,4]=>[[1,4,5],[2,6],[3]]=>[3,3]
[2,5,6,4,3,1]=>[5,2,1,3,4,6]=>[[1,4,5,6],[2],[3]]=>[3,3]
[2,6,1,3,4,5]=>[5,1,6,4,3,2]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[2,6,1,3,5,4]=>[5,1,6,4,2,3]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[2,6,1,4,3,5]=>[5,1,6,3,4,2]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[2,6,1,4,5,3]=>[5,1,6,3,2,4]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[2,6,1,5,3,4]=>[5,1,6,2,4,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[2,6,3,1,4,5]=>[5,1,4,6,3,2]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[2,6,3,1,5,4]=>[5,1,4,6,2,3]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[2,6,3,4,5,1]=>[5,1,4,3,2,6]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[2,6,3,5,1,4]=>[5,1,4,2,6,3]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[2,6,3,5,4,1]=>[5,1,4,2,3,6]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[2,6,4,1,3,5]=>[5,1,3,6,4,2]=>[[1,3,4],[2,5],[6]]=>[2,4]
[2,6,4,1,5,3]=>[5,1,3,6,2,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[[1,3,4,5],[2],[6]]=>[2,4]
[2,6,4,3,5,1]=>[5,1,3,4,2,6]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[2,6,4,5,1,3]=>[5,1,3,2,6,4]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[2,6,4,5,3,1]=>[5,1,3,2,4,6]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[2,6,5,1,3,4]=>[5,1,2,6,4,3]=>[[1,3,4],[2,5],[6]]=>[2,4]
[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[2,6,5,3,1,4]=>[5,1,2,4,6,3]=>[[1,3,4,5],[2],[6]]=>[2,4]
[2,6,5,3,4,1]=>[5,1,2,4,3,6]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>[[1,3,4,5],[2,6]]=>[2,4]
[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>[[1,3,4,5,6],[2]]=>[2,4]
[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6]]=>[6]
[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[3,1,2,6,4,5]=>[4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[1,2,6],[3,5],[4]]=>[4,2]
[3,1,4,2,5,6]=>[4,6,3,5,2,1]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[3,1,4,2,6,5]=>[4,6,3,5,1,2]=>[[1,2],[3,4],[5,6]]=>[3,2,1]
[3,1,4,5,2,6]=>[4,6,3,2,5,1]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[3,1,4,5,6,2]=>[4,6,3,2,1,5]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[3,1,4,6,2,5]=>[4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>[4,2]
[3,1,4,6,5,2]=>[4,6,3,1,2,5]=>[[1,2,6],[3,5],[4]]=>[4,2]
[3,1,5,2,4,6]=>[4,6,2,5,3,1]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[[1,2],[3,4],[5,6]]=>[3,2,1]
[3,1,5,4,2,6]=>[4,6,2,3,5,1]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,1,5,4,6,2]=>[4,6,2,3,1,5]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[3,1,5,6,2,4]=>[4,6,2,1,5,3]=>[[1,2],[3,5],[4,6]]=>[4,2]
[3,1,5,6,4,2]=>[4,6,2,1,3,5]=>[[1,2,6],[3,5],[4]]=>[4,2]
[3,1,6,2,4,5]=>[4,6,1,5,3,2]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[3,1,6,4,2,5]=>[4,6,1,3,5,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,1,6,4,5,2]=>[4,6,1,3,2,5]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[3,1,6,5,2,4]=>[4,6,1,2,5,3]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>[[1,2,5,6],[3,4]]=>[3,3]
[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[[1,2,3],[4],[5],[6]]=>[6]
[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[1,2,3],[4,6],[5]]=>[5,1]
[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[1,2,3],[4,5],[6]]=>[4,2]
[3,2,1,5,6,4]=>[4,5,6,2,1,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[3,2,1,6,4,5]=>[4,5,6,1,3,2]=>[[1,2,3],[4,5],[6]]=>[4,2]
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>[4,2]
[3,2,4,1,5,6]=>[4,5,3,6,2,1]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[3,2,4,1,6,5]=>[4,5,3,6,1,2]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[3,2,4,5,1,6]=>[4,5,3,2,6,1]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[3,2,4,5,6,1]=>[4,5,3,2,1,6]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[3,2,4,6,1,5]=>[4,5,3,1,6,2]=>[[1,2,5],[3,6],[4]]=>[4,2]
[3,2,4,6,5,1]=>[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>[4,2]
[3,2,5,1,4,6]=>[4,5,2,6,3,1]=>[[1,2,4],[3,5],[6]]=>[3,3]
[3,2,5,1,6,4]=>[4,5,2,6,1,3]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[3,2,5,4,1,6]=>[4,5,2,3,6,1]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,2,5,4,6,1]=>[4,5,2,3,1,6]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[3,2,5,6,1,4]=>[4,5,2,1,6,3]=>[[1,2,5],[3,6],[4]]=>[4,2]
[3,2,5,6,4,1]=>[4,5,2,1,3,6]=>[[1,2,6],[3,5],[4]]=>[4,2]
[3,2,6,1,4,5]=>[4,5,1,6,3,2]=>[[1,2,4],[3,5],[6]]=>[3,3]
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[1,2,4],[3,5,6]]=>[3,2,1]
[3,2,6,4,1,5]=>[4,5,1,3,6,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[3,2,6,4,5,1]=>[4,5,1,3,2,6]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>[[1,2,5],[3,4,6]]=>[3,3]
[3,2,6,5,4,1]=>[4,5,1,2,3,6]=>[[1,2,5,6],[3,4]]=>[3,3]
[3,4,1,2,5,6]=>[4,3,6,5,2,1]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[3,4,1,2,6,5]=>[4,3,6,5,1,2]=>[[1,3],[2,4],[5,6]]=>[2,3,1]
[3,4,1,5,2,6]=>[4,3,6,2,5,1]=>[[1,3],[2,5],[4],[6]]=>[2,2,2]
[3,4,1,5,6,2]=>[4,3,6,2,1,5]=>[[1,3],[2,6],[4],[5]]=>[2,3,1]
[3,4,1,6,2,5]=>[4,3,6,1,5,2]=>[[1,3],[2,5],[4,6]]=>[2,2,2]
[3,4,1,6,5,2]=>[4,3,6,1,2,5]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[3,4,2,1,5,6]=>[4,3,5,6,2,1]=>[[1,3,4],[2],[5],[6]]=>[2,4]
[3,4,2,1,6,5]=>[4,3,5,6,1,2]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[3,4,2,5,1,6]=>[4,3,5,2,6,1]=>[[1,3,5],[2],[4],[6]]=>[2,2,2]
[3,4,2,5,6,1]=>[4,3,5,2,1,6]=>[[1,3,6],[2],[4],[5]]=>[2,3,1]
[3,4,2,6,1,5]=>[4,3,5,1,6,2]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[3,4,2,6,5,1]=>[4,3,5,1,2,6]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[3,4,5,1,2,6]=>[4,3,2,6,5,1]=>[[1,4],[2,5],[3],[6]]=>[3,3]
[3,4,5,1,6,2]=>[4,3,2,6,1,5]=>[[1,4],[2,6],[3],[5]]=>[3,2,1]
[3,4,5,2,1,6]=>[4,3,2,5,6,1]=>[[1,4,5],[2],[3],[6]]=>[3,3]
[3,4,5,2,6,1]=>[4,3,2,5,1,6]=>[[1,4,6],[2],[3],[5]]=>[3,2,1]
[3,4,5,6,1,2]=>[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>[4,2]
[3,4,5,6,2,1]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>[4,2]
[3,4,6,1,2,5]=>[4,3,1,6,5,2]=>[[1,4],[2,5],[3,6]]=>[3,3]
[3,4,6,1,5,2]=>[4,3,1,6,2,5]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[3,4,6,2,1,5]=>[4,3,1,5,6,2]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,4,6,2,5,1]=>[4,3,1,5,2,6]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[3,4,6,5,1,2]=>[4,3,1,2,6,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,4,6,5,2,1]=>[4,3,1,2,5,6]=>[[1,4,5,6],[2],[3]]=>[3,3]
[3,5,1,2,4,6]=>[4,2,6,5,3,1]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[3,5,1,2,6,4]=>[4,2,6,5,1,3]=>[[1,3],[2,4],[5,6]]=>[2,3,1]
[3,5,1,4,2,6]=>[4,2,6,3,5,1]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[3,5,1,4,6,2]=>[4,2,6,3,1,5]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>[2,2,2]
[3,5,1,6,4,2]=>[4,2,6,1,3,5]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[3,5,2,1,4,6]=>[4,2,5,6,3,1]=>[[1,3,4],[2,5],[6]]=>[2,4]
[3,5,2,1,6,4]=>[4,2,5,6,1,3]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[3,5,2,4,1,6]=>[4,2,5,3,6,1]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[3,5,2,4,6,1]=>[4,2,5,3,1,6]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[3,5,2,6,1,4]=>[4,2,5,1,6,3]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[3,5,2,6,4,1]=>[4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[3,5,4,1,2,6]=>[4,2,3,6,5,1]=>[[1,3,4],[2,5],[6]]=>[2,4]
[3,5,4,1,6,2]=>[4,2,3,6,1,5]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[3,5,4,2,1,6]=>[4,2,3,5,6,1]=>[[1,3,4,5],[2],[6]]=>[2,4]
[3,5,4,2,6,1]=>[4,2,3,5,1,6]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[3,5,4,6,1,2]=>[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[3,5,4,6,2,1]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[[1,4],[2,5],[3,6]]=>[3,3]
[3,5,6,1,4,2]=>[4,2,1,6,3,5]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[3,5,6,2,1,4]=>[4,2,1,5,6,3]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,5,6,2,4,1]=>[4,2,1,5,3,6]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[3,5,6,4,1,2]=>[4,2,1,3,6,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[3,5,6,4,2,1]=>[4,2,1,3,5,6]=>[[1,4,5,6],[2],[3]]=>[3,3]
[3,6,1,2,4,5]=>[4,1,6,5,3,2]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[3,6,1,4,2,5]=>[4,1,6,3,5,2]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[3,6,1,5,2,4]=>[4,1,6,2,5,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[3,6,2,1,4,5]=>[4,1,5,6,3,2]=>[[1,3,4],[2,5],[6]]=>[2,4]
[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[[1,3,4],[2,5,6]]=>[2,3,1]
[3,6,2,4,1,5]=>[4,1,5,3,6,2]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[3,6,2,4,5,1]=>[4,1,5,3,2,6]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[[1,3,5],[2,4,6]]=>[2,2,2]
[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[3,6,4,1,2,5]=>[4,1,3,6,5,2]=>[[1,3,4],[2,5],[6]]=>[2,4]
[3,6,4,1,5,2]=>[4,1,3,6,2,5]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[3,6,4,2,1,5]=>[4,1,3,5,6,2]=>[[1,3,4,5],[2],[6]]=>[2,4]
[3,6,4,2,5,1]=>[4,1,3,5,2,6]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[3,6,4,5,1,2]=>[4,1,3,2,6,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[3,6,4,5,2,1]=>[4,1,3,2,5,6]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[3,6,5,1,2,4]=>[4,1,2,6,5,3]=>[[1,3,4],[2,5],[6]]=>[2,4]
[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[[1,3,4,5],[2,6]]=>[2,4]
[3,6,5,2,4,1]=>[4,1,2,5,3,6]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>[[1,3,4,5],[2,6]]=>[2,4]
[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>[[1,3,4,5,6],[2]]=>[2,4]
[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6]]=>[6]
[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[4,1,2,5,3,6]=>[3,6,5,2,4,1]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[4,1,2,6,3,5]=>[3,6,5,1,4,2]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[4,1,2,6,5,3]=>[3,6,5,1,2,4]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,1,3,2,5,6]=>[3,6,4,5,2,1]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[4,1,3,5,2,6]=>[3,6,4,2,5,1]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[4,1,3,5,6,2]=>[3,6,4,2,1,5]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[[1,2,5],[3,6],[4]]=>[4,2]
[4,1,3,6,5,2]=>[3,6,4,1,2,5]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,1,5,2,3,6]=>[3,6,2,5,4,1]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[[1,2],[3,4],[5,6]]=>[3,2,1]
[4,1,5,3,2,6]=>[3,6,2,4,5,1]=>[[1,2,5],[3,4],[6]]=>[3,3]
[4,1,5,3,6,2]=>[3,6,2,4,1,5]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[4,1,5,6,2,3]=>[3,6,2,1,5,4]=>[[1,2],[3,5],[4,6]]=>[4,2]
[4,1,5,6,3,2]=>[3,6,2,1,4,5]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,1,6,2,3,5]=>[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[4,1,6,2,5,3]=>[3,6,1,5,2,4]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[4,1,6,3,2,5]=>[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[4,1,6,3,5,2]=>[3,6,1,4,2,5]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[4,1,6,5,2,3]=>[3,6,1,2,5,4]=>[[1,2,5],[3,4],[6]]=>[3,3]
[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>[[1,2,5,6],[3,4]]=>[3,3]
[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>[[1,2,3],[4],[5],[6]]=>[6]
[4,2,1,3,6,5]=>[3,5,6,4,1,2]=>[[1,2,3],[4,6],[5]]=>[5,1]
[4,2,1,5,3,6]=>[3,5,6,2,4,1]=>[[1,2,3],[4,5],[6]]=>[4,2]
[4,2,1,5,6,3]=>[3,5,6,2,1,4]=>[[1,2,3],[4,6],[5]]=>[5,1]
[4,2,1,6,3,5]=>[3,5,6,1,4,2]=>[[1,2,3],[4,5],[6]]=>[4,2]
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[[1,2,3],[4,5,6]]=>[4,2]
[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[4,2,3,5,1,6]=>[3,5,4,2,6,1]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[4,2,3,5,6,1]=>[3,5,4,2,1,6]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[4,2,3,6,1,5]=>[3,5,4,1,6,2]=>[[1,2,5],[3,6],[4]]=>[4,2]
[4,2,3,6,5,1]=>[3,5,4,1,2,6]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[[1,2,4],[3,5],[6]]=>[3,3]
[4,2,5,1,6,3]=>[3,5,2,6,1,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[4,2,5,3,1,6]=>[3,5,2,4,6,1]=>[[1,2,5],[3,4],[6]]=>[3,3]
[4,2,5,3,6,1]=>[3,5,2,4,1,6]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[4,2,5,6,1,3]=>[3,5,2,1,6,4]=>[[1,2,5],[3,6],[4]]=>[4,2]
[4,2,5,6,3,1]=>[3,5,2,1,4,6]=>[[1,2,6],[3,5],[4]]=>[4,2]
[4,2,6,1,3,5]=>[3,5,1,6,4,2]=>[[1,2,4],[3,5],[6]]=>[3,3]
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>[3,2,1]
[4,2,6,3,1,5]=>[3,5,1,4,6,2]=>[[1,2,5],[3,4],[6]]=>[3,3]
[4,2,6,3,5,1]=>[3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[4,2,6,5,1,3]=>[3,5,1,2,6,4]=>[[1,2,5],[3,4,6]]=>[3,3]
[4,2,6,5,3,1]=>[3,5,1,2,4,6]=>[[1,2,5,6],[3,4]]=>[3,3]
[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>[[1,2,3],[4],[5],[6]]=>[6]
[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[[1,2,3],[4,6],[5]]=>[5,1]
[4,3,1,5,2,6]=>[3,4,6,2,5,1]=>[[1,2,3],[4,5],[6]]=>[4,2]
[4,3,1,5,6,2]=>[3,4,6,2,1,5]=>[[1,2,3],[4,6],[5]]=>[5,1]
[4,3,1,6,2,5]=>[3,4,6,1,5,2]=>[[1,2,3],[4,5],[6]]=>[4,2]
[4,3,1,6,5,2]=>[3,4,6,1,2,5]=>[[1,2,3],[4,5,6]]=>[4,2]
[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[1,2,3,4],[5],[6]]=>[6]
[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[1,2,3,4],[5,6]]=>[5,1]
[4,3,2,5,1,6]=>[3,4,5,2,6,1]=>[[1,2,3,5],[4],[6]]=>[4,2]
[4,3,2,5,6,1]=>[3,4,5,2,1,6]=>[[1,2,3,6],[4],[5]]=>[5,1]
[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>[[1,2,3,5],[4,6]]=>[4,2]
[4,3,2,6,5,1]=>[3,4,5,1,2,6]=>[[1,2,3,6],[4,5]]=>[4,2]
[4,3,5,1,2,6]=>[3,4,2,6,5,1]=>[[1,2,4],[3,5],[6]]=>[3,3]
[4,3,5,1,6,2]=>[3,4,2,6,1,5]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[4,3,5,2,1,6]=>[3,4,2,5,6,1]=>[[1,2,4,5],[3],[6]]=>[3,3]
[4,3,5,2,6,1]=>[3,4,2,5,1,6]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[4,3,5,6,1,2]=>[3,4,2,1,6,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[4,3,5,6,2,1]=>[3,4,2,1,5,6]=>[[1,2,5,6],[3],[4]]=>[4,2]
[4,3,6,1,2,5]=>[3,4,1,6,5,2]=>[[1,2,4],[3,5],[6]]=>[3,3]
[4,3,6,1,5,2]=>[3,4,1,6,2,5]=>[[1,2,4],[3,5,6]]=>[3,2,1]
[4,3,6,2,1,5]=>[3,4,1,5,6,2]=>[[1,2,4,5],[3,6]]=>[3,3]
[4,3,6,2,5,1]=>[3,4,1,5,2,6]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[4,3,6,5,1,2]=>[3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]=>[3,3]
[4,3,6,5,2,1]=>[3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>[3,3]
[4,5,1,2,3,6]=>[3,2,6,5,4,1]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[4,5,1,2,6,3]=>[3,2,6,5,1,4]=>[[1,3],[2,4],[5,6]]=>[2,3,1]
[4,5,1,3,2,6]=>[3,2,6,4,5,1]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[4,5,1,3,6,2]=>[3,2,6,4,1,5]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[[1,3],[2,5],[4,6]]=>[2,2,2]
[4,5,1,6,3,2]=>[3,2,6,1,4,5]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[4,5,2,1,3,6]=>[3,2,5,6,4,1]=>[[1,3,4],[2,5],[6]]=>[2,4]
[4,5,2,1,6,3]=>[3,2,5,6,1,4]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[4,5,2,3,1,6]=>[3,2,5,4,6,1]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[4,5,2,3,6,1]=>[3,2,5,4,1,6]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[4,5,2,6,1,3]=>[3,2,5,1,6,4]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[4,5,2,6,3,1]=>[3,2,5,1,4,6]=>[[1,3,6],[2,5],[4]]=>[2,2,2]
[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[[1,3,4],[2,5],[6]]=>[2,4]
[4,5,3,1,6,2]=>[3,2,4,6,1,5]=>[[1,3,4],[2,6],[5]]=>[2,3,1]
[4,5,3,2,1,6]=>[3,2,4,5,6,1]=>[[1,3,4,5],[2],[6]]=>[2,4]
[4,5,3,2,6,1]=>[3,2,4,5,1,6]=>[[1,3,4,6],[2],[5]]=>[2,3,1]
[4,5,3,6,1,2]=>[3,2,4,1,6,5]=>[[1,3,5],[2,6],[4]]=>[2,2,2]
[4,5,3,6,2,1]=>[3,2,4,1,5,6]=>[[1,3,5,6],[2],[4]]=>[2,2,2]
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>[3,3]
[4,5,6,1,3,2]=>[3,2,1,6,4,5]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[4,5,6,2,1,3]=>[3,2,1,5,6,4]=>[[1,4,5],[2,6],[3]]=>[3,3]
[4,5,6,2,3,1]=>[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>[3,2,1]
[4,5,6,3,1,2]=>[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>[3,3]
[4,5,6,3,2,1]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>[3,3]
[4,6,1,2,3,5]=>[3,1,6,5,4,2]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[4,6,1,2,5,3]=>[3,1,6,5,2,4]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[4,6,1,3,2,5]=>[3,1,6,4,5,2]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[4,6,1,3,5,2]=>[3,1,6,4,2,5]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[4,6,1,5,2,3]=>[3,1,6,2,5,4]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[4,6,2,1,3,5]=>[3,1,5,6,4,2]=>[[1,3,4],[2,5],[6]]=>[2,4]
[4,6,2,1,5,3]=>[3,1,5,6,2,4]=>[[1,3,4],[2,5,6]]=>[2,3,1]
[4,6,2,3,1,5]=>[3,1,5,4,6,2]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[4,6,2,3,5,1]=>[3,1,5,4,2,6]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[[1,3,5],[2,4,6]]=>[2,2,2]
[4,6,2,5,3,1]=>[3,1,5,2,4,6]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[4,6,3,1,2,5]=>[3,1,4,6,5,2]=>[[1,3,4],[2,5],[6]]=>[2,4]
[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[1,3,4],[2,5,6]]=>[2,3,1]
[4,6,3,2,1,5]=>[3,1,4,5,6,2]=>[[1,3,4,5],[2,6]]=>[2,4]
[4,6,3,2,5,1]=>[3,1,4,5,2,6]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[4,6,3,5,1,2]=>[3,1,4,2,6,5]=>[[1,3,5],[2,4,6]]=>[2,2,2]
[4,6,3,5,2,1]=>[3,1,4,2,5,6]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[4,6,5,1,2,3]=>[3,1,2,6,5,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[[1,3,4,5],[2,6]]=>[2,4]
[4,6,5,2,3,1]=>[3,1,2,5,4,6]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[4,6,5,3,1,2]=>[3,1,2,4,6,5]=>[[1,3,4,5],[2,6]]=>[2,4]
[4,6,5,3,2,1]=>[3,1,2,4,5,6]=>[[1,3,4,5,6],[2]]=>[2,4]
[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6]]=>[6]
[5,1,2,3,6,4]=>[2,6,5,4,1,3]=>[[1,2],[3,6],[4],[5]]=>[5,1]
[5,1,2,4,3,6]=>[2,6,5,3,4,1]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[5,1,2,4,6,3]=>[2,6,5,3,1,4]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[5,1,2,6,3,4]=>[2,6,5,1,4,3]=>[[1,2],[3,5],[4],[6]]=>[4,2]
[5,1,2,6,4,3]=>[2,6,5,1,3,4]=>[[1,2,6],[3,5],[4]]=>[4,2]
[5,1,3,2,4,6]=>[2,6,4,5,3,1]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[5,1,3,2,6,4]=>[2,6,4,5,1,3]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[5,1,3,4,2,6]=>[2,6,4,3,5,1]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[5,1,3,6,2,4]=>[2,6,4,1,5,3]=>[[1,2,5],[3,6],[4]]=>[4,2]
[5,1,3,6,4,2]=>[2,6,4,1,3,5]=>[[1,2,6],[3,5],[4]]=>[4,2]
[5,1,4,2,3,6]=>[2,6,3,5,4,1]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[5,1,4,2,6,3]=>[2,6,3,5,1,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[5,1,4,3,2,6]=>[2,6,3,4,5,1]=>[[1,2,4,5],[3],[6]]=>[3,3]
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[5,1,4,6,2,3]=>[2,6,3,1,5,4]=>[[1,2,5],[3,6],[4]]=>[4,2]
[5,1,4,6,3,2]=>[2,6,3,1,4,5]=>[[1,2,5,6],[3],[4]]=>[4,2]
[5,1,6,2,3,4]=>[2,6,1,5,4,3]=>[[1,2],[3,4],[5],[6]]=>[3,3]
[5,1,6,2,4,3]=>[2,6,1,5,3,4]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[5,1,6,3,2,4]=>[2,6,1,4,5,3]=>[[1,2,5],[3,4],[6]]=>[3,3]
[5,1,6,3,4,2]=>[2,6,1,4,3,5]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[5,1,6,4,2,3]=>[2,6,1,3,5,4]=>[[1,2,5],[3,4],[6]]=>[3,3]
[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>[[1,2,5,6],[3,4]]=>[3,3]
[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>[[1,2,3],[4],[5],[6]]=>[6]
[5,2,1,3,6,4]=>[2,5,6,4,1,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[5,2,1,4,3,6]=>[2,5,6,3,4,1]=>[[1,2,3],[4,5],[6]]=>[4,2]
[5,2,1,4,6,3]=>[2,5,6,3,1,4]=>[[1,2,3],[4,6],[5]]=>[5,1]
[5,2,1,6,3,4]=>[2,5,6,1,4,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[5,2,1,6,4,3]=>[2,5,6,1,3,4]=>[[1,2,3],[4,5,6]]=>[4,2]
[5,2,3,1,4,6]=>[2,5,4,6,3,1]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[5,2,3,1,6,4]=>[2,5,4,6,1,3]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[5,2,3,4,6,1]=>[2,5,4,3,1,6]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[[1,2,5],[3,6],[4]]=>[4,2]
[5,2,3,6,4,1]=>[2,5,4,1,3,6]=>[[1,2,6],[3,5],[4]]=>[4,2]
[5,2,4,1,3,6]=>[2,5,3,6,4,1]=>[[1,2,4],[3,5],[6]]=>[3,3]
[5,2,4,1,6,3]=>[2,5,3,6,1,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[[1,2,4,5],[3],[6]]=>[3,3]
[5,2,4,3,6,1]=>[2,5,3,4,1,6]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[5,2,4,6,1,3]=>[2,5,3,1,6,4]=>[[1,2,5],[3,6],[4]]=>[4,2]
[5,2,4,6,3,1]=>[2,5,3,1,4,6]=>[[1,2,5,6],[3],[4]]=>[4,2]
[5,2,6,1,3,4]=>[2,5,1,6,4,3]=>[[1,2,4],[3,5],[6]]=>[3,3]
[5,2,6,1,4,3]=>[2,5,1,6,3,4]=>[[1,2,4],[3,5,6]]=>[3,2,1]
[5,2,6,3,1,4]=>[2,5,1,4,6,3]=>[[1,2,5],[3,4],[6]]=>[3,3]
[5,2,6,3,4,1]=>[2,5,1,4,3,6]=>[[1,2,6],[3,4],[5]]=>[3,2,1]
[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[1,2,5],[3,4,6]]=>[3,3]
[5,2,6,4,3,1]=>[2,5,1,3,4,6]=>[[1,2,5,6],[3,4]]=>[3,3]
[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>[[1,2,3],[4],[5],[6]]=>[6]
[5,3,1,2,6,4]=>[2,4,6,5,1,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[5,3,1,4,2,6]=>[2,4,6,3,5,1]=>[[1,2,3],[4,5],[6]]=>[4,2]
[5,3,1,4,6,2]=>[2,4,6,3,1,5]=>[[1,2,3],[4,6],[5]]=>[5,1]
[5,3,1,6,2,4]=>[2,4,6,1,5,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[[1,2,3],[4,5,6]]=>[4,2]
[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>[[1,2,3,4],[5],[6]]=>[6]
[5,3,2,1,6,4]=>[2,4,5,6,1,3]=>[[1,2,3,4],[5,6]]=>[5,1]
[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[1,2,3,5],[4],[6]]=>[4,2]
[5,3,2,4,6,1]=>[2,4,5,3,1,6]=>[[1,2,3,6],[4],[5]]=>[5,1]
[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[1,2,3,5],[4,6]]=>[4,2]
[5,3,2,6,4,1]=>[2,4,5,1,3,6]=>[[1,2,3,6],[4,5]]=>[4,2]
[5,3,4,1,2,6]=>[2,4,3,6,5,1]=>[[1,2,4],[3,5],[6]]=>[3,3]
[5,3,4,1,6,2]=>[2,4,3,6,1,5]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[5,3,4,2,1,6]=>[2,4,3,5,6,1]=>[[1,2,4,5],[3],[6]]=>[3,3]
[5,3,4,2,6,1]=>[2,4,3,5,1,6]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[5,3,4,6,1,2]=>[2,4,3,1,6,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[5,3,4,6,2,1]=>[2,4,3,1,5,6]=>[[1,2,5,6],[3],[4]]=>[4,2]
[5,3,6,1,2,4]=>[2,4,1,6,5,3]=>[[1,2,4],[3,5],[6]]=>[3,3]
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[[1,2,4],[3,5,6]]=>[3,2,1]
[5,3,6,2,1,4]=>[2,4,1,5,6,3]=>[[1,2,4,5],[3,6]]=>[3,3]
[5,3,6,2,4,1]=>[2,4,1,5,3,6]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[5,3,6,4,1,2]=>[2,4,1,3,6,5]=>[[1,2,5],[3,4,6]]=>[3,3]
[5,3,6,4,2,1]=>[2,4,1,3,5,6]=>[[1,2,5,6],[3,4]]=>[3,3]
[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>[[1,2,3],[4],[5],[6]]=>[6]
[5,4,1,2,6,3]=>[2,3,6,5,1,4]=>[[1,2,3],[4,6],[5]]=>[5,1]
[5,4,1,3,2,6]=>[2,3,6,4,5,1]=>[[1,2,3,5],[4],[6]]=>[4,2]
[5,4,1,3,6,2]=>[2,3,6,4,1,5]=>[[1,2,3,6],[4],[5]]=>[5,1]
[5,4,1,6,2,3]=>[2,3,6,1,5,4]=>[[1,2,3],[4,5],[6]]=>[4,2]
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[[1,2,3,6],[4,5]]=>[4,2]
[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>[[1,2,3,4],[5],[6]]=>[6]
[5,4,2,1,6,3]=>[2,3,5,6,1,4]=>[[1,2,3,4],[5,6]]=>[5,1]
[5,4,2,3,1,6]=>[2,3,5,4,6,1]=>[[1,2,3,5],[4],[6]]=>[4,2]
[5,4,2,3,6,1]=>[2,3,5,4,1,6]=>[[1,2,3,6],[4],[5]]=>[5,1]
[5,4,2,6,1,3]=>[2,3,5,1,6,4]=>[[1,2,3,5],[4,6]]=>[4,2]
[5,4,2,6,3,1]=>[2,3,5,1,4,6]=>[[1,2,3,6],[4,5]]=>[4,2]
[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>[[1,2,3,4],[5],[6]]=>[6]
[5,4,3,1,6,2]=>[2,3,4,6,1,5]=>[[1,2,3,4],[5,6]]=>[5,1]
[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[1,2,3,4,5],[6]]=>[6]
[5,4,3,2,6,1]=>[2,3,4,5,1,6]=>[[1,2,3,4,6],[5]]=>[5,1]
[5,4,3,6,1,2]=>[2,3,4,1,6,5]=>[[1,2,3,5],[4,6]]=>[4,2]
[5,4,3,6,2,1]=>[2,3,4,1,5,6]=>[[1,2,3,5,6],[4]]=>[4,2]
[5,4,6,1,2,3]=>[2,3,1,6,5,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[[1,2,4,5],[3,6]]=>[3,3]
[5,4,6,2,3,1]=>[2,3,1,5,4,6]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[5,4,6,3,1,2]=>[2,3,1,4,6,5]=>[[1,2,4,5],[3,6]]=>[3,3]
[5,4,6,3,2,1]=>[2,3,1,4,5,6]=>[[1,2,4,5,6],[3]]=>[3,3]
[5,6,1,2,3,4]=>[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[2,4]
[5,6,1,2,4,3]=>[2,1,6,5,3,4]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,6,1,3,2,4]=>[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[5,6,1,3,4,2]=>[2,1,6,4,3,5]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,6,1,4,2,3]=>[2,1,6,3,5,4]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[5,6,1,4,3,2]=>[2,1,6,3,4,5]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[5,6,2,1,3,4]=>[2,1,5,6,4,3]=>[[1,3,4],[2,5],[6]]=>[2,4]
[5,6,2,1,4,3]=>[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>[2,3,1]
[5,6,2,3,1,4]=>[2,1,5,4,6,3]=>[[1,3,5],[2,4],[6]]=>[2,2,2]
[5,6,2,3,4,1]=>[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>[2,3,1]
[5,6,2,4,1,3]=>[2,1,5,3,6,4]=>[[1,3,5],[2,4,6]]=>[2,2,2]
[5,6,2,4,3,1]=>[2,1,5,3,4,6]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[5,6,3,1,2,4]=>[2,1,4,6,5,3]=>[[1,3,4],[2,5],[6]]=>[2,4]
[5,6,3,1,4,2]=>[2,1,4,6,3,5]=>[[1,3,4],[2,5,6]]=>[2,3,1]
[5,6,3,2,1,4]=>[2,1,4,5,6,3]=>[[1,3,4,5],[2,6]]=>[2,4]
[5,6,3,2,4,1]=>[2,1,4,5,3,6]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>[2,2,2]
[5,6,3,4,2,1]=>[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>[2,2,2]
[5,6,4,1,2,3]=>[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>[2,4]
[5,6,4,1,3,2]=>[2,1,3,6,4,5]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[5,6,4,2,1,3]=>[2,1,3,5,6,4]=>[[1,3,4,5],[2,6]]=>[2,4]
[5,6,4,2,3,1]=>[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>[2,3,1]
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>[2,4]
[5,6,4,3,2,1]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>[2,4]
[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[6]
[6,1,2,3,5,4]=>[1,6,5,4,2,3]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[6,1,2,4,3,5]=>[1,6,5,3,4,2]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[6,1,2,4,5,3]=>[1,6,5,3,2,4]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[6,1,2,5,3,4]=>[1,6,5,2,4,3]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[[1,2,5,6],[3],[4]]=>[4,2]
[6,1,3,2,4,5]=>[1,6,4,5,3,2]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[6,1,3,4,2,5]=>[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[6,1,3,4,5,2]=>[1,6,4,3,2,5]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[6,1,3,5,2,4]=>[1,6,4,2,5,3]=>[[1,2,5],[3,6],[4]]=>[4,2]
[6,1,3,5,4,2]=>[1,6,4,2,3,5]=>[[1,2,5,6],[3],[4]]=>[4,2]
[6,1,4,2,3,5]=>[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[6,1,4,2,5,3]=>[1,6,3,5,2,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[6,1,4,3,2,5]=>[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[3,3]
[6,1,4,3,5,2]=>[1,6,3,4,2,5]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[6,1,4,5,2,3]=>[1,6,3,2,5,4]=>[[1,2,5],[3,6],[4]]=>[4,2]
[6,1,4,5,3,2]=>[1,6,3,2,4,5]=>[[1,2,5,6],[3],[4]]=>[4,2]
[6,1,5,2,3,4]=>[1,6,2,5,4,3]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[6,1,5,2,4,3]=>[1,6,2,5,3,4]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[6,1,5,3,2,4]=>[1,6,2,4,5,3]=>[[1,2,4,5],[3],[6]]=>[3,3]
[6,1,5,3,4,2]=>[1,6,2,4,3,5]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[6,1,5,4,2,3]=>[1,6,2,3,5,4]=>[[1,2,4,5],[3],[6]]=>[3,3]
[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>[[1,2,4,5,6],[3]]=>[3,3]
[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>[[1,2,3],[4],[5],[6]]=>[6]
[6,2,1,3,5,4]=>[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[6,2,1,4,3,5]=>[1,5,6,3,4,2]=>[[1,2,3],[4,5],[6]]=>[4,2]
[6,2,1,4,5,3]=>[1,5,6,3,2,4]=>[[1,2,3],[4,6],[5]]=>[5,1]
[6,2,1,5,3,4]=>[1,5,6,2,4,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>[[1,2,3,6],[4,5]]=>[4,2]
[6,2,3,1,4,5]=>[1,5,4,6,3,2]=>[[1,2,4],[3],[5],[6]]=>[3,3]
[6,2,3,1,5,4]=>[1,5,4,6,2,3]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[6,2,3,4,1,5]=>[1,5,4,3,6,2]=>[[1,2,5],[3],[4],[6]]=>[4,2]
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[5,1]
[6,2,3,5,1,4]=>[1,5,4,2,6,3]=>[[1,2,5],[3,6],[4]]=>[4,2]
[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[[1,2,5,6],[3],[4]]=>[4,2]
[6,2,4,1,3,5]=>[1,5,3,6,4,2]=>[[1,2,4],[3,5],[6]]=>[3,3]
[6,2,4,1,5,3]=>[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[6,2,4,3,1,5]=>[1,5,3,4,6,2]=>[[1,2,4,5],[3],[6]]=>[3,3]
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[6,2,4,5,1,3]=>[1,5,3,2,6,4]=>[[1,2,5],[3,6],[4]]=>[4,2]
[6,2,4,5,3,1]=>[1,5,3,2,4,6]=>[[1,2,5,6],[3],[4]]=>[4,2]
[6,2,5,1,3,4]=>[1,5,2,6,4,3]=>[[1,2,4],[3,5],[6]]=>[3,3]
[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[6,2,5,3,1,4]=>[1,5,2,4,6,3]=>[[1,2,4,5],[3],[6]]=>[3,3]
[6,2,5,3,4,1]=>[1,5,2,4,3,6]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>[[1,2,4,5],[3,6]]=>[3,3]
[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[[1,2,4,5,6],[3]]=>[3,3]
[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>[[1,2,3],[4],[5],[6]]=>[6]
[6,3,1,2,5,4]=>[1,4,6,5,2,3]=>[[1,2,3],[4,6],[5]]=>[5,1]
[6,3,1,4,2,5]=>[1,4,6,3,5,2]=>[[1,2,3],[4,5],[6]]=>[4,2]
[6,3,1,4,5,2]=>[1,4,6,3,2,5]=>[[1,2,3],[4,6],[5]]=>[5,1]
[6,3,1,5,2,4]=>[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[4,2]
[6,3,1,5,4,2]=>[1,4,6,2,3,5]=>[[1,2,3,6],[4,5]]=>[4,2]
[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>[[1,2,3,4],[5],[6]]=>[6]
[6,3,2,1,5,4]=>[1,4,5,6,2,3]=>[[1,2,3,4],[5,6]]=>[5,1]
[6,3,2,4,1,5]=>[1,4,5,3,6,2]=>[[1,2,3,5],[4],[6]]=>[4,2]
[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[[1,2,3,6],[4],[5]]=>[5,1]
[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>[[1,2,3,5],[4,6]]=>[4,2]
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[4,2]
[6,3,4,1,2,5]=>[1,4,3,6,5,2]=>[[1,2,4],[3,5],[6]]=>[3,3]
[6,3,4,1,5,2]=>[1,4,3,6,2,5]=>[[1,2,4],[3,6],[5]]=>[3,2,1]
[6,3,4,2,1,5]=>[1,4,3,5,6,2]=>[[1,2,4,5],[3],[6]]=>[3,3]
[6,3,4,2,5,1]=>[1,4,3,5,2,6]=>[[1,2,4,6],[3],[5]]=>[3,2,1]
[6,3,4,5,1,2]=>[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[4,2]
[6,3,4,5,2,1]=>[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[4,2]
[6,3,5,1,2,4]=>[1,4,2,6,5,3]=>[[1,2,4],[3,5],[6]]=>[3,3]
[6,3,5,1,4,2]=>[1,4,2,6,3,5]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[6,3,5,2,1,4]=>[1,4,2,5,6,3]=>[[1,2,4,5],[3,6]]=>[3,3]
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[6,3,5,4,1,2]=>[1,4,2,3,6,5]=>[[1,2,4,5],[3,6]]=>[3,3]
[6,3,5,4,2,1]=>[1,4,2,3,5,6]=>[[1,2,4,5,6],[3]]=>[3,3]
[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>[[1,2,3],[4],[5],[6]]=>[6]
[6,4,1,2,5,3]=>[1,3,6,5,2,4]=>[[1,2,3],[4,6],[5]]=>[5,1]
[6,4,1,3,2,5]=>[1,3,6,4,5,2]=>[[1,2,3,5],[4],[6]]=>[4,2]
[6,4,1,3,5,2]=>[1,3,6,4,2,5]=>[[1,2,3,6],[4],[5]]=>[5,1]
[6,4,1,5,2,3]=>[1,3,6,2,5,4]=>[[1,2,3],[4,5],[6]]=>[4,2]
[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>[[1,2,3,6],[4,5]]=>[4,2]
[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>[[1,2,3,4],[5],[6]]=>[6]
[6,4,2,1,5,3]=>[1,3,5,6,2,4]=>[[1,2,3,4],[5,6]]=>[5,1]
[6,4,2,3,1,5]=>[1,3,5,4,6,2]=>[[1,2,3,5],[4],[6]]=>[4,2]
[6,4,2,3,5,1]=>[1,3,5,4,2,6]=>[[1,2,3,6],[4],[5]]=>[5,1]
[6,4,2,5,1,3]=>[1,3,5,2,6,4]=>[[1,2,3,5],[4,6]]=>[4,2]
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[[1,2,3,6],[4,5]]=>[4,2]
[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>[[1,2,3,4],[5],[6]]=>[6]
[6,4,3,1,5,2]=>[1,3,4,6,2,5]=>[[1,2,3,4],[5,6]]=>[5,1]
[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>[[1,2,3,4,5],[6]]=>[6]
[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[[1,2,3,4,6],[5]]=>[5,1]
[6,4,3,5,1,2]=>[1,3,4,2,6,5]=>[[1,2,3,5],[4,6]]=>[4,2]
[6,4,3,5,2,1]=>[1,3,4,2,5,6]=>[[1,2,3,5,6],[4]]=>[4,2]
[6,4,5,1,2,3]=>[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[3,3]
[6,4,5,1,3,2]=>[1,3,2,6,4,5]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[6,4,5,2,1,3]=>[1,3,2,5,6,4]=>[[1,2,4,5],[3,6]]=>[3,3]
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[3,2,1]
[6,4,5,3,1,2]=>[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[3,3]
[6,4,5,3,2,1]=>[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[3,3]
[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[6]
[6,5,1,2,4,3]=>[1,2,6,5,3,4]=>[[1,2,3,6],[4],[5]]=>[5,1]
[6,5,1,3,2,4]=>[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>[4,2]
[6,5,1,3,4,2]=>[1,2,6,4,3,5]=>[[1,2,3,6],[4],[5]]=>[5,1]
[6,5,1,4,2,3]=>[1,2,6,3,5,4]=>[[1,2,3,5],[4],[6]]=>[4,2]
[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>[[1,2,3,5,6],[4]]=>[4,2]
[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>[[1,2,3,4],[5],[6]]=>[6]
[6,5,2,1,4,3]=>[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>[5,1]
[6,5,2,3,1,4]=>[1,2,5,4,6,3]=>[[1,2,3,5],[4],[6]]=>[4,2]
[6,5,2,3,4,1]=>[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>[5,1]
[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>[[1,2,3,5],[4,6]]=>[4,2]
[6,5,2,4,3,1]=>[1,2,5,3,4,6]=>[[1,2,3,5,6],[4]]=>[4,2]
[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>[[1,2,3,4],[5],[6]]=>[6]
[6,5,3,1,4,2]=>[1,2,4,6,3,5]=>[[1,2,3,4],[5,6]]=>[5,1]
[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>[[1,2,3,4,5],[6]]=>[6]
[6,5,3,2,4,1]=>[1,2,4,5,3,6]=>[[1,2,3,4,6],[5]]=>[5,1]
[6,5,3,4,1,2]=>[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>[4,2]
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>[4,2]
[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>[6]
[6,5,4,1,3,2]=>[1,2,3,6,4,5]=>[[1,2,3,4,6],[5]]=>[5,1]
[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>[[1,2,3,4,5],[6]]=>[6]
[6,5,4,2,3,1]=>[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>[5,1]
[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>[6]
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>[6]
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>[7]
[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,1]
[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[5,2]
[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,1]
[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>[[1,6],[2],[3],[4],[5],[7]]=>[5,2]
[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[4,3]
[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[5,2]
[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,1]
[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[4,3]
[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>[[1,5],[2],[3],[4],[6],[7]]=>[4,3]
[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[3,4]
[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[4,3]
[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[5,2]
[1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,1]
[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[1,2,4,5,7,6,3]=>[7,6,4,3,1,2,5]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[1,2,4,6,5,7,3]=>[7,6,4,2,3,1,5]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[1,2,4,6,7,5,3]=>[7,6,4,2,1,3,5]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[1,2,4,7,5,6,3]=>[7,6,4,1,3,2,5]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[3,4]
[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[1,2,5,4,6,7,3]=>[7,6,3,4,2,1,5]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,2,5,4,7,6,3]=>[7,6,3,4,1,2,5]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[1,2,5,6,4,7,3]=>[7,6,3,2,4,1,5]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,2,5,7,4,6,3]=>[7,6,3,1,4,2,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,2,5,7,6,3,4]=>[7,6,3,1,2,5,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[3,4]
[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[1,2,6,4,5,7,3]=>[7,6,2,4,3,1,5]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,2,6,4,7,5,3]=>[7,6,2,4,1,3,5]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[1,2,6,5,4,7,3]=>[7,6,2,3,4,1,5]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,2,6,5,7,4,3]=>[7,6,2,3,1,4,5]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,2,6,7,4,5,3]=>[7,6,2,1,4,3,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>[[1,4],[2],[3],[5],[6],[7]]=>[3,4]
[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,2,7,5,6,4,3]=>[7,6,1,3,2,4,5]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[1,2,7,6,4,5,3]=>[7,6,1,2,4,3,5]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[2,5]
[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[1,3,2,5,7,6,4]=>[7,5,6,3,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,3,2,6,5,7,4]=>[7,5,6,2,3,1,4]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[1,3,2,6,7,5,4]=>[7,5,6,2,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[3,4]
[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[1,3,4,2,7,6,5]=>[7,5,4,6,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[4,3]
[1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[5,2]
[1,3,4,5,6,7,2]=>[7,5,4,3,2,1,6]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,1]
[1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[1,3,4,5,7,6,2]=>[7,5,4,3,1,2,6]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[1,3,4,6,5,2,7]=>[7,5,4,2,3,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[1,3,4,6,5,7,2]=>[7,5,4,2,3,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[1,3,4,6,7,5,2]=>[7,5,4,2,1,3,6]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[1,3,4,7,2,6,5]=>[7,5,4,1,6,2,3]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,3,4,7,5,2,6]=>[7,5,4,1,3,6,2]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[1,3,4,7,5,6,2]=>[7,5,4,1,3,2,6]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[1,3,4,7,6,2,5]=>[7,5,4,1,2,6,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,3,4,7,6,5,2]=>[7,5,4,1,2,3,6]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[1,3,5,2,6,7,4]=>[7,5,3,6,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[1,3,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[1,3,5,4,2,7,6]=>[7,5,3,4,6,1,2]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,3,5,4,6,2,7]=>[7,5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[1,3,5,4,6,7,2]=>[7,5,3,4,2,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[1,3,5,4,7,2,6]=>[7,5,3,4,1,6,2]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,3,5,4,7,6,2]=>[7,5,3,4,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[1,3,5,6,2,7,4]=>[7,5,3,2,6,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[1,3,5,6,4,7,2]=>[7,5,3,2,4,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[1,3,5,6,7,2,4]=>[7,5,3,2,1,6,4]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[1,3,5,6,7,4,2]=>[7,5,3,2,1,4,6]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[1,3,5,7,2,6,4]=>[7,5,3,1,6,2,4]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,3,5,7,4,2,6]=>[7,5,3,1,4,6,2]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,3,5,7,4,6,2]=>[7,5,3,1,4,2,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,3,5,7,6,2,4]=>[7,5,3,1,2,6,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,3,6,2,5,7,4]=>[7,5,2,6,3,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[1,3,6,2,7,5,4]=>[7,5,2,6,1,3,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[1,3,6,4,2,7,5]=>[7,5,2,4,6,1,3]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,3,6,4,5,2,7]=>[7,5,2,4,3,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[1,3,6,4,5,7,2]=>[7,5,2,4,3,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[1,3,6,4,7,2,5]=>[7,5,2,4,1,6,3]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,3,6,4,7,5,2]=>[7,5,2,4,1,3,6]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,3,6,5,2,7,4]=>[7,5,2,3,6,1,4]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,3,6,5,4,2,7]=>[7,5,2,3,4,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[1,3,6,5,4,7,2]=>[7,5,2,3,4,1,6]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[1,3,6,5,7,2,4]=>[7,5,2,3,1,6,4]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,3,6,5,7,4,2]=>[7,5,2,3,1,4,6]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[1,3,6,7,2,4,5]=>[7,5,2,1,6,4,3]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[1,3,6,7,2,5,4]=>[7,5,2,1,6,3,4]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,3,6,7,4,5,2]=>[7,5,2,1,4,3,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,3,6,7,5,2,4]=>[7,5,2,1,3,6,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,3,6,7,5,4,2]=>[7,5,2,1,3,4,6]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,3,7,2,5,6,4]=>[7,5,1,6,3,2,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[1,3,7,4,2,6,5]=>[7,5,1,4,6,2,3]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,3,7,4,5,2,6]=>[7,5,1,4,3,6,2]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[1,3,7,4,5,6,2]=>[7,5,1,4,3,2,6]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[1,3,7,4,6,2,5]=>[7,5,1,4,2,6,3]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,3,7,4,6,5,2]=>[7,5,1,4,2,3,6]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,3,7,5,2,6,4]=>[7,5,1,3,6,2,4]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,3,7,5,4,2,6]=>[7,5,1,3,4,6,2]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[1,3,7,5,4,6,2]=>[7,5,1,3,4,2,6]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[1,3,7,5,6,2,4]=>[7,5,1,3,2,6,4]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,3,7,5,6,4,2]=>[7,5,1,3,2,4,6]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[1,3,7,6,4,5,2]=>[7,5,1,2,4,3,6]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[1,3,7,6,5,4,2]=>[7,5,1,2,3,4,6]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[2,5]
[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[1,4,2,5,6,7,3]=>[7,4,6,3,2,1,5]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[1,4,2,5,7,6,3]=>[7,4,6,3,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,4,2,6,5,7,3]=>[7,4,6,2,3,1,5]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[1,4,2,6,7,5,3]=>[7,4,6,2,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,4,2,7,5,6,3]=>[7,4,6,1,3,2,5]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,4,2,7,6,5,3]=>[7,4,6,1,2,3,5]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,4,3,2,6,7,5]=>[7,4,5,6,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[1,4,3,5,2,7,6]=>[7,4,5,3,6,1,2]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,4,3,5,6,2,7]=>[7,4,5,3,2,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[1,4,3,5,6,7,2]=>[7,4,5,3,2,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[1,4,3,5,7,2,6]=>[7,4,5,3,1,6,2]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,4,3,5,7,6,2]=>[7,4,5,3,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,4,3,6,2,7,5]=>[7,4,5,2,6,1,3]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,4,3,6,5,2,7]=>[7,4,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,4,3,6,5,7,2]=>[7,4,5,2,3,1,6]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,4,3,6,7,2,5]=>[7,4,5,2,1,6,3]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,4,3,6,7,5,2]=>[7,4,5,2,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[1,4,3,7,5,2,6]=>[7,4,5,1,3,6,2]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,4,3,7,5,6,2]=>[7,4,5,1,3,2,6]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[1,4,3,7,6,5,2]=>[7,4,5,1,2,3,6]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[1,4,5,2,6,7,3]=>[7,4,3,6,2,1,5]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[1,4,5,2,7,6,3]=>[7,4,3,6,1,2,5]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[1,4,5,3,2,7,6]=>[7,4,3,5,6,1,2]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[1,4,5,3,6,7,2]=>[7,4,3,5,2,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[1,4,5,3,7,2,6]=>[7,4,3,5,1,6,2]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,4,5,3,7,6,2]=>[7,4,3,5,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,4,5,6,2,3,7]=>[7,4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[1,4,5,6,2,7,3]=>[7,4,3,2,6,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[1,4,5,6,3,7,2]=>[7,4,3,2,5,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[1,4,5,6,7,2,3]=>[7,4,3,2,1,6,5]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[1,4,5,6,7,3,2]=>[7,4,3,2,1,5,6]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[1,4,5,7,2,3,6]=>[7,4,3,1,6,5,2]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[1,4,5,7,2,6,3]=>[7,4,3,1,6,2,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,4,5,7,3,6,2]=>[7,4,3,1,5,2,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,4,5,7,6,2,3]=>[7,4,3,1,2,6,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,4,6,2,5,7,3]=>[7,4,2,6,3,1,5]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[1,4,6,2,7,5,3]=>[7,4,2,6,1,3,5]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,4,6,3,2,7,5]=>[7,4,2,5,6,1,3]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,4,6,3,5,2,7]=>[7,4,2,5,3,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,4,6,3,5,7,2]=>[7,4,2,5,3,1,6]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,4,6,3,7,2,5]=>[7,4,2,5,1,6,3]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,4,6,3,7,5,2]=>[7,4,2,5,1,3,6]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,4,6,5,2,3,7]=>[7,4,2,3,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,4,6,5,2,7,3]=>[7,4,2,3,6,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[1,4,6,5,3,7,2]=>[7,4,2,3,5,1,6]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[1,4,6,5,7,2,3]=>[7,4,2,3,1,6,5]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,4,6,5,7,3,2]=>[7,4,2,3,1,5,6]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[1,4,6,7,2,5,3]=>[7,4,2,1,6,3,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,4,6,7,3,2,5]=>[7,4,2,1,5,6,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,4,6,7,3,5,2]=>[7,4,2,1,5,3,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,4,6,7,5,2,3]=>[7,4,2,1,3,6,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,4,6,7,5,3,2]=>[7,4,2,1,3,5,6]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[1,4,7,3,5,2,6]=>[7,4,1,5,3,6,2]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,4,7,3,5,6,2]=>[7,4,1,5,3,2,6]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[1,4,7,3,6,5,2]=>[7,4,1,5,2,3,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[1,4,7,5,2,3,6]=>[7,4,1,3,6,5,2]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,4,7,5,2,6,3]=>[7,4,1,3,6,2,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[1,4,7,5,3,6,2]=>[7,4,1,3,5,2,6]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[1,4,7,5,6,2,3]=>[7,4,1,3,2,6,5]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,4,7,5,6,3,2]=>[7,4,1,3,2,5,6]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,4,7,6,2,5,3]=>[7,4,1,2,6,3,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[1,4,7,6,3,5,2]=>[7,4,1,2,5,3,6]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[1,4,7,6,5,2,3]=>[7,4,1,2,3,6,5]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[1,4,7,6,5,3,2]=>[7,4,1,2,3,5,6]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[2,5]
[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[1,5,2,4,6,7,3]=>[7,3,6,4,2,1,5]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,5,2,4,7,6,3]=>[7,3,6,4,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,5,2,6,4,7,3]=>[7,3,6,2,4,1,5]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,5,2,6,7,3,4]=>[7,3,6,2,1,5,4]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,5,2,7,4,6,3]=>[7,3,6,1,4,2,5]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,5,2,7,6,3,4]=>[7,3,6,1,2,5,4]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,5,3,2,6,7,4]=>[7,3,5,6,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,5,3,2,7,6,4]=>[7,3,5,6,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[1,5,3,4,6,7,2]=>[7,3,5,4,2,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[1,5,3,4,7,2,6]=>[7,3,5,4,1,6,2]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,5,3,4,7,6,2]=>[7,3,5,4,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,5,3,6,2,7,4]=>[7,3,5,2,6,1,4]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,5,3,6,4,7,2]=>[7,3,5,2,4,1,6]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,5,3,6,7,2,4]=>[7,3,5,2,1,6,4]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,5,3,6,7,4,2]=>[7,3,5,2,1,4,6]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[1,5,3,7,4,2,6]=>[7,3,5,1,4,6,2]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,5,3,7,4,6,2]=>[7,3,5,1,4,2,6]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,5,3,7,6,2,4]=>[7,3,5,1,2,6,4]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[1,5,3,7,6,4,2]=>[7,3,5,1,2,4,6]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,5,4,2,6,7,3]=>[7,3,4,6,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,5,4,2,7,6,3]=>[7,3,4,6,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[1,5,4,3,6,7,2]=>[7,3,4,5,2,1,6]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[1,5,4,3,7,6,2]=>[7,3,4,5,1,2,6]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,5,4,6,2,7,3]=>[7,3,4,2,6,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,5,4,6,3,2,7]=>[7,3,4,2,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[1,5,4,6,3,7,2]=>[7,3,4,2,5,1,6]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[1,5,4,6,7,2,3]=>[7,3,4,2,1,6,5]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,5,4,6,7,3,2]=>[7,3,4,2,1,5,6]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,5,4,7,2,6,3]=>[7,3,4,1,6,2,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[1,5,4,7,3,6,2]=>[7,3,4,1,5,2,6]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[1,5,4,7,6,2,3]=>[7,3,4,1,2,6,5]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[1,5,4,7,6,3,2]=>[7,3,4,1,2,5,6]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[1,5,6,2,3,7,4]=>[7,3,2,6,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,5,6,2,4,7,3]=>[7,3,2,6,4,1,5]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[1,5,6,2,7,4,3]=>[7,3,2,6,1,4,5]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,5,6,3,4,2,7]=>[7,3,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,5,6,3,4,7,2]=>[7,3,2,5,4,1,6]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,5,6,3,7,2,4]=>[7,3,2,5,1,6,4]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,5,6,3,7,4,2]=>[7,3,2,5,1,4,6]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,5,6,4,2,7,3]=>[7,3,2,4,6,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[1,5,6,4,3,2,7]=>[7,3,2,4,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[1,5,6,4,3,7,2]=>[7,3,2,4,5,1,6]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[1,5,6,4,7,2,3]=>[7,3,2,4,1,6,5]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[1,5,6,4,7,3,2]=>[7,3,2,4,1,5,6]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[1,5,6,7,2,4,3]=>[7,3,2,1,6,4,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,5,6,7,3,2,4]=>[7,3,2,1,5,6,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,5,6,7,3,4,2]=>[7,3,2,1,5,4,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[1,5,6,7,4,2,3]=>[7,3,2,1,4,6,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[1,5,6,7,4,3,2]=>[7,3,2,1,4,5,6]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[1,5,7,2,3,6,4]=>[7,3,1,6,5,2,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,5,7,2,4,6,3]=>[7,3,1,6,4,2,5]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,5,7,2,6,4,3]=>[7,3,1,6,2,4,5]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[1,5,7,3,4,2,6]=>[7,3,1,5,4,6,2]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,5,7,3,4,6,2]=>[7,3,1,5,4,2,6]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,5,7,3,6,2,4]=>[7,3,1,5,2,6,4]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[1,5,7,3,6,4,2]=>[7,3,1,5,2,4,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[1,5,7,4,3,6,2]=>[7,3,1,4,5,2,6]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[1,5,7,4,6,2,3]=>[7,3,1,4,2,6,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[1,5,7,4,6,3,2]=>[7,3,1,4,2,5,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[1,5,7,6,3,2,4]=>[7,3,1,2,5,6,4]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[1,5,7,6,3,4,2]=>[7,3,1,2,5,4,6]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[1,5,7,6,4,2,3]=>[7,3,1,2,4,6,5]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[1,5,7,6,4,3,2]=>[7,3,1,2,4,5,6]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[2,5]
[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[1,6,2,4,5,7,3]=>[7,2,6,4,3,1,5]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,6,2,4,7,5,3]=>[7,2,6,4,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[1,6,2,5,4,7,3]=>[7,2,6,3,4,1,5]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,6,2,5,7,4,3]=>[7,2,6,3,1,4,5]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,6,2,7,4,5,3]=>[7,2,6,1,4,3,5]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,6,3,2,5,7,4]=>[7,2,5,6,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,6,3,2,7,5,4]=>[7,2,5,6,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[1,6,3,4,2,7,5]=>[7,2,5,4,6,1,3]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[1,6,3,4,5,7,2]=>[7,2,5,4,3,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,6,3,4,7,5,2]=>[7,2,5,4,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,6,3,5,2,7,4]=>[7,2,5,3,6,1,4]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[1,6,3,5,4,7,2]=>[7,2,5,3,4,1,6]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[1,6,3,5,7,2,4]=>[7,2,5,3,1,6,4]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,6,3,5,7,4,2]=>[7,2,5,3,1,4,6]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[1,6,3,7,2,4,5]=>[7,2,5,1,6,4,3]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,6,3,7,2,5,4]=>[7,2,5,1,6,3,4]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[1,6,3,7,4,5,2]=>[7,2,5,1,4,3,6]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[1,6,3,7,5,4,2]=>[7,2,5,1,3,4,6]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,6,4,2,5,7,3]=>[7,2,4,6,3,1,5]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,6,4,2,7,5,3]=>[7,2,4,6,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[1,6,4,3,2,7,5]=>[7,2,4,5,6,1,3]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[1,6,4,3,5,7,2]=>[7,2,4,5,3,1,6]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[1,6,4,3,7,5,2]=>[7,2,4,5,1,3,6]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,6,4,5,2,7,3]=>[7,2,4,3,6,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,6,4,5,3,2,7]=>[7,2,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[1,6,4,5,3,7,2]=>[7,2,4,3,5,1,6]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[1,6,4,5,7,2,3]=>[7,2,4,3,1,6,5]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,6,4,5,7,3,2]=>[7,2,4,3,1,5,6]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[1,6,4,7,2,3,5]=>[7,2,4,1,6,5,3]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,6,4,7,2,5,3]=>[7,2,4,1,6,3,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[1,6,4,7,3,5,2]=>[7,2,4,1,5,3,6]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[1,6,4,7,5,2,3]=>[7,2,4,1,3,6,5]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[1,6,4,7,5,3,2]=>[7,2,4,1,3,5,6]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[1,6,5,2,4,7,3]=>[7,2,3,6,4,1,5]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[1,6,5,3,4,2,7]=>[7,2,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[1,6,5,3,4,7,2]=>[7,2,3,5,4,1,6]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[1,6,5,3,7,4,2]=>[7,2,3,5,1,4,6]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[1,6,5,4,3,7,2]=>[7,2,3,4,5,1,6]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[1,6,5,4,7,2,3]=>[7,2,3,4,1,6,5]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[1,6,5,4,7,3,2]=>[7,2,3,4,1,5,6]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,6,5,7,2,4,3]=>[7,2,3,1,6,4,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[1,6,5,7,3,4,2]=>[7,2,3,1,5,4,6]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[1,6,5,7,4,2,3]=>[7,2,3,1,4,6,5]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[1,6,5,7,4,3,2]=>[7,2,3,1,4,5,6]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[1,6,7,2,3,5,4]=>[7,2,1,6,5,3,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,6,7,2,4,5,3]=>[7,2,1,6,4,3,5]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,6,7,2,5,3,4]=>[7,2,1,6,3,5,4]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,6,7,2,5,4,3]=>[7,2,1,6,3,4,5]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[1,6,7,3,2,4,5]=>[7,2,1,5,6,4,3]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[1,6,7,3,4,5,2]=>[7,2,1,5,4,3,6]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[1,6,7,3,5,4,2]=>[7,2,1,5,3,4,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[1,6,7,4,2,3,5]=>[7,2,1,4,6,5,3]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,6,7,4,2,5,3]=>[7,2,1,4,6,3,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[1,6,7,4,3,5,2]=>[7,2,1,4,5,3,6]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[1,6,7,4,5,3,2]=>[7,2,1,4,3,5,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[1,6,7,5,2,3,4]=>[7,2,1,3,6,5,4]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[1,6,7,5,2,4,3]=>[7,2,1,3,6,4,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[1,6,7,5,3,4,2]=>[7,2,1,3,5,4,6]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[1,6,7,5,4,3,2]=>[7,2,1,3,4,5,6]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7]]=>[2,5]
[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[1,7,2,4,5,6,3]=>[7,1,6,4,3,2,5]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,7,2,4,6,5,3]=>[7,1,6,4,2,3,5]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[1,7,2,5,4,6,3]=>[7,1,6,3,4,2,5]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,7,2,5,6,4,3]=>[7,1,6,3,2,4,5]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[1,7,2,6,4,5,3]=>[7,1,6,2,4,3,5]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,7,3,2,5,6,4]=>[7,1,5,6,3,2,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[1,7,3,4,2,6,5]=>[7,1,5,4,6,2,3]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,7,3,4,5,2,6]=>[7,1,5,4,3,6,2]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[1,7,3,4,6,2,5]=>[7,1,5,4,2,6,3]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,7,3,5,4,2,6]=>[7,1,5,3,4,6,2]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[1,7,3,5,6,2,4]=>[7,1,5,3,2,6,4]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,7,3,5,6,4,2]=>[7,1,5,3,2,4,6]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[1,7,3,6,4,5,2]=>[7,1,5,2,4,3,6]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,7,4,2,5,6,3]=>[7,1,4,6,3,2,5]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,7,4,2,6,5,3]=>[7,1,4,6,2,3,5]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[1,7,4,3,5,2,6]=>[7,1,4,5,3,6,2]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,7,4,5,2,6,3]=>[7,1,4,3,6,2,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[1,7,4,5,3,2,6]=>[7,1,4,3,5,6,2]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[1,7,4,5,3,6,2]=>[7,1,4,3,5,2,6]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[1,7,4,5,6,2,3]=>[7,1,4,3,2,6,5]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[1,7,4,5,6,3,2]=>[7,1,4,3,2,5,6]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,7,4,6,2,5,3]=>[7,1,4,2,6,3,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[1,7,4,6,3,5,2]=>[7,1,4,2,5,3,6]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[1,7,4,6,5,2,3]=>[7,1,4,2,3,6,5]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[1,7,4,6,5,3,2]=>[7,1,4,2,3,5,6]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[1,7,5,2,4,6,3]=>[7,1,3,6,4,2,5]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[1,7,5,3,4,2,6]=>[7,1,3,5,4,6,2]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[1,7,5,3,4,6,2]=>[7,1,3,5,4,2,6]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[1,7,5,3,6,4,2]=>[7,1,3,5,2,4,6]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[1,7,5,4,6,2,3]=>[7,1,3,4,2,6,5]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[1,7,5,4,6,3,2]=>[7,1,3,4,2,5,6]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[1,7,5,6,2,4,3]=>[7,1,3,2,6,4,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[1,7,5,6,3,2,4]=>[7,1,3,2,5,6,4]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[1,7,5,6,4,2,3]=>[7,1,3,2,4,6,5]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[1,7,5,6,4,3,2]=>[7,1,3,2,4,5,6]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[1,7,6,2,4,5,3]=>[7,1,2,6,4,3,5]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[1,7,6,3,4,5,2]=>[7,1,2,5,4,3,6]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[1,7,6,3,5,4,2]=>[7,1,2,5,3,4,6]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[1,7,6,4,3,5,2]=>[7,1,2,4,5,3,6]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[1,7,6,4,5,2,3]=>[7,1,2,4,3,6,5]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[1,7,6,5,3,4,2]=>[7,1,2,3,5,4,6]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[1,3,4,5,6,7],[2]]=>[2,5]
[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>[7]
[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[2,1,3,4,6,7,5]=>[6,7,5,4,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[2,1,3,4,7,5,6]=>[6,7,5,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[2,1,3,5,6,4,7]=>[6,7,5,3,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[2,1,3,5,6,7,4]=>[6,7,5,3,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[2,1,3,5,7,6,4]=>[6,7,5,3,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[2,1,3,6,4,5,7]=>[6,7,5,2,4,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[2,1,3,6,4,7,5]=>[6,7,5,2,4,1,3]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[2,1,3,6,5,7,4]=>[6,7,5,2,3,1,4]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[2,1,3,6,7,4,5]=>[6,7,5,2,1,4,3]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[2,1,3,6,7,5,4]=>[6,7,5,2,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[2,1,3,7,4,5,6]=>[6,7,5,1,4,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[2,1,3,7,5,4,6]=>[6,7,5,1,3,4,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[2,1,3,7,6,4,5]=>[6,7,5,1,2,4,3]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[2,1,4,3,6,7,5]=>[6,7,4,5,2,1,3]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[2,1,4,3,7,5,6]=>[6,7,4,5,1,3,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[2,1,4,5,3,6,7]=>[6,7,4,3,5,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[2,1,4,5,3,7,6]=>[6,7,4,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[2,1,4,5,6,3,7]=>[6,7,4,3,2,5,1]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[2,1,4,5,6,7,3]=>[6,7,4,3,2,1,5]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[2,1,4,5,7,3,6]=>[6,7,4,3,1,5,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[2,1,4,5,7,6,3]=>[6,7,4,3,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[2,1,4,6,3,7,5]=>[6,7,4,2,5,1,3]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[2,1,4,6,5,3,7]=>[6,7,4,2,3,5,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[2,1,4,6,5,7,3]=>[6,7,4,2,3,1,5]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[2,1,4,6,7,3,5]=>[6,7,4,2,1,5,3]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[2,1,4,6,7,5,3]=>[6,7,4,2,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[2,1,4,7,3,5,6]=>[6,7,4,1,5,3,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[2,1,4,7,5,3,6]=>[6,7,4,1,3,5,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[2,1,4,7,5,6,3]=>[6,7,4,1,3,2,5]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[2,1,4,7,6,5,3]=>[6,7,4,1,2,3,5]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[2,1,5,3,4,6,7]=>[6,7,3,5,4,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[2,1,5,3,6,4,7]=>[6,7,3,5,2,4,1]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[2,1,5,3,6,7,4]=>[6,7,3,5,2,1,4]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[2,1,5,3,7,4,6]=>[6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[2,1,5,3,7,6,4]=>[6,7,3,5,1,2,4]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[2,1,5,4,6,3,7]=>[6,7,3,4,2,5,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[2,1,5,4,6,7,3]=>[6,7,3,4,2,1,5]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[2,1,5,4,7,6,3]=>[6,7,3,4,1,2,5]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[2,1,5,6,3,4,7]=>[6,7,3,2,5,4,1]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[2,1,5,6,3,7,4]=>[6,7,3,2,5,1,4]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[2,1,5,6,4,3,7]=>[6,7,3,2,4,5,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[2,1,5,6,4,7,3]=>[6,7,3,2,4,1,5]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[2,1,5,6,7,3,4]=>[6,7,3,2,1,5,4]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[2,1,5,6,7,4,3]=>[6,7,3,2,1,4,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[2,1,5,7,3,4,6]=>[6,7,3,1,5,4,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[2,1,5,7,4,6,3]=>[6,7,3,1,4,2,5]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[2,1,5,7,6,3,4]=>[6,7,3,1,2,5,4]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[2,1,5,7,6,4,3]=>[6,7,3,1,2,4,5]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[2,1,6,3,4,5,7]=>[6,7,2,5,4,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[2,1,6,3,4,7,5]=>[6,7,2,5,4,1,3]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[2,1,6,3,5,4,7]=>[6,7,2,5,3,4,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[2,1,6,3,5,7,4]=>[6,7,2,5,3,1,4]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[2,1,6,3,7,4,5]=>[6,7,2,5,1,4,3]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[2,1,6,3,7,5,4]=>[6,7,2,5,1,3,4]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[2,1,6,4,3,5,7]=>[6,7,2,4,5,3,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[2,1,6,4,3,7,5]=>[6,7,2,4,5,1,3]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[2,1,6,4,5,7,3]=>[6,7,2,4,3,1,5]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[2,1,6,4,7,5,3]=>[6,7,2,4,1,3,5]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[2,1,6,5,3,4,7]=>[6,7,2,3,5,4,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[2,1,6,5,3,7,4]=>[6,7,2,3,5,1,4]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[2,1,6,5,4,7,3]=>[6,7,2,3,4,1,5]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[2,1,6,5,7,3,4]=>[6,7,2,3,1,5,4]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[2,1,6,5,7,4,3]=>[6,7,2,3,1,4,5]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[2,1,6,7,3,4,5]=>[6,7,2,1,5,4,3]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[2,1,6,7,3,5,4]=>[6,7,2,1,5,3,4]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[2,1,6,7,4,3,5]=>[6,7,2,1,4,5,3]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[2,1,6,7,4,5,3]=>[6,7,2,1,4,3,5]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[2,1,6,7,5,4,3]=>[6,7,2,1,3,4,5]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[2,1,7,3,4,5,6]=>[6,7,1,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[2,1,7,3,4,6,5]=>[6,7,1,5,4,2,3]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[2,1,7,3,5,4,6]=>[6,7,1,5,3,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[2,1,7,3,5,6,4]=>[6,7,1,5,3,2,4]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[2,1,7,3,6,4,5]=>[6,7,1,5,2,4,3]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[2,1,7,4,3,5,6]=>[6,7,1,4,5,3,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[2,1,7,4,5,3,6]=>[6,7,1,4,3,5,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[2,1,7,5,3,4,6]=>[6,7,1,3,5,4,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[2,1,7,5,3,6,4]=>[6,7,1,3,5,2,4]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[2,1,7,5,6,3,4]=>[6,7,1,3,2,5,4]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[2,1,7,5,6,4,3]=>[6,7,1,3,2,4,5]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[2,1,7,6,3,4,5]=>[6,7,1,2,5,4,3]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[2,1,7,6,3,5,4]=>[6,7,1,2,5,3,4]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[2,1,7,6,4,3,5]=>[6,7,1,2,4,5,3]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[2,1,7,6,4,5,3]=>[6,7,1,2,4,3,5]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[2,1,7,6,5,3,4]=>[6,7,1,2,3,5,4]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[2,3,1,4,5,6,7]=>[6,5,7,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[2,5]
[2,3,1,4,5,7,6]=>[6,5,7,4,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[2,3,1,4,6,5,7]=>[6,5,7,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[2,3,1,4,6,7,5]=>[6,5,7,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[2,3,1,4,7,6,5]=>[6,5,7,4,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,3,1,5,4,6,7]=>[6,5,7,3,4,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[2,3,1,5,4,7,6]=>[6,5,7,3,4,1,2]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[2,3,1,5,6,4,7]=>[6,5,7,3,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[2,3,1,5,6,7,4]=>[6,5,7,3,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[2,3,1,5,7,4,6]=>[6,5,7,3,1,4,2]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[2,3,1,5,7,6,4]=>[6,5,7,3,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,3,1,6,4,5,7]=>[6,5,7,2,4,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[2,3,1,6,4,7,5]=>[6,5,7,2,4,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[2,3,1,6,5,4,7]=>[6,5,7,2,3,4,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,3,1,6,5,7,4]=>[6,5,7,2,3,1,4]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,3,1,6,7,4,5]=>[6,5,7,2,1,4,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[2,3,1,6,7,5,4]=>[6,5,7,2,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,3,1,7,4,5,6]=>[6,5,7,1,4,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[2,3,1,7,4,6,5]=>[6,5,7,1,4,2,3]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,3,1,7,5,4,6]=>[6,5,7,1,3,4,2]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,3,1,7,5,6,4]=>[6,5,7,1,3,2,4]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,3,1,7,6,4,5]=>[6,5,7,1,2,4,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,3,1,7,6,5,4]=>[6,5,7,1,2,3,4]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,3,4,1,5,6,7]=>[6,5,4,7,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[3,4]
[2,3,4,1,5,7,6]=>[6,5,4,7,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[2,3,4,1,6,5,7]=>[6,5,4,7,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[2,3,4,1,6,7,5]=>[6,5,4,7,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[2,3,4,1,7,5,6]=>[6,5,4,7,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[2,3,4,1,7,6,5]=>[6,5,4,7,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[2,3,4,5,1,6,7]=>[6,5,4,3,7,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[4,3]
[2,3,4,5,1,7,6]=>[6,5,4,3,7,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[2,3,4,5,6,1,7]=>[6,5,4,3,2,7,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[5,2]
[2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,1]
[2,3,4,5,7,1,6]=>[6,5,4,3,1,7,2]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[2,3,4,5,7,6,1]=>[6,5,4,3,1,2,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[2,3,4,6,1,5,7]=>[6,5,4,2,7,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[2,3,4,6,1,7,5]=>[6,5,4,2,7,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[2,3,4,6,5,1,7]=>[6,5,4,2,3,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[2,3,4,6,5,7,1]=>[6,5,4,2,3,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[2,3,4,6,7,1,5]=>[6,5,4,2,1,7,3]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[2,3,4,6,7,5,1]=>[6,5,4,2,1,3,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[2,3,4,7,1,5,6]=>[6,5,4,1,7,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[2,3,4,7,1,6,5]=>[6,5,4,1,7,2,3]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[2,3,4,7,5,1,6]=>[6,5,4,1,3,7,2]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[2,3,4,7,5,6,1]=>[6,5,4,1,3,2,7]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[2,3,4,7,6,1,5]=>[6,5,4,1,2,7,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[2,3,4,7,6,5,1]=>[6,5,4,1,2,3,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[2,3,5,1,4,6,7]=>[6,5,3,7,4,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[2,3,5,1,4,7,6]=>[6,5,3,7,4,1,2]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[2,3,5,1,6,4,7]=>[6,5,3,7,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[2,3,5,1,6,7,4]=>[6,5,3,7,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[2,3,5,1,7,4,6]=>[6,5,3,7,1,4,2]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[2,3,5,1,7,6,4]=>[6,5,3,7,1,2,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[2,3,5,4,1,6,7]=>[6,5,3,4,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[2,3,5,4,1,7,6]=>[6,5,3,4,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[2,3,5,4,6,1,7]=>[6,5,3,4,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[2,3,5,4,6,7,1]=>[6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[2,3,5,4,7,1,6]=>[6,5,3,4,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[2,3,5,4,7,6,1]=>[6,5,3,4,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[2,3,5,6,1,4,7]=>[6,5,3,2,7,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[2,3,5,6,1,7,4]=>[6,5,3,2,7,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[2,3,5,6,4,1,7]=>[6,5,3,2,4,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[2,3,5,6,4,7,1]=>[6,5,3,2,4,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[2,3,5,6,7,1,4]=>[6,5,3,2,1,7,4]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[2,3,5,6,7,4,1]=>[6,5,3,2,1,4,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[2,3,5,7,1,4,6]=>[6,5,3,1,7,4,2]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[2,3,5,7,1,6,4]=>[6,5,3,1,7,2,4]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[2,3,5,7,4,1,6]=>[6,5,3,1,4,7,2]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[2,3,5,7,4,6,1]=>[6,5,3,1,4,2,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[2,3,5,7,6,1,4]=>[6,5,3,1,2,7,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[2,3,5,7,6,4,1]=>[6,5,3,1,2,4,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[2,3,6,1,4,5,7]=>[6,5,2,7,4,3,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[2,3,6,1,4,7,5]=>[6,5,2,7,4,1,3]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[2,3,6,1,5,4,7]=>[6,5,2,7,3,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[2,3,6,1,5,7,4]=>[6,5,2,7,3,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[2,3,6,1,7,4,5]=>[6,5,2,7,1,4,3]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[2,3,6,1,7,5,4]=>[6,5,2,7,1,3,4]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[2,3,6,4,1,5,7]=>[6,5,2,4,7,3,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[2,3,6,4,1,7,5]=>[6,5,2,4,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[2,3,6,4,5,1,7]=>[6,5,2,4,3,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[2,3,6,4,5,7,1]=>[6,5,2,4,3,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[2,3,6,4,7,1,5]=>[6,5,2,4,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[2,3,6,4,7,5,1]=>[6,5,2,4,1,3,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[2,3,6,5,1,4,7]=>[6,5,2,3,7,4,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[2,3,6,5,1,7,4]=>[6,5,2,3,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[2,3,6,5,4,1,7]=>[6,5,2,3,4,7,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[2,3,6,5,4,7,1]=>[6,5,2,3,4,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[2,3,6,5,7,1,4]=>[6,5,2,3,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[2,3,6,5,7,4,1]=>[6,5,2,3,1,4,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[2,3,6,7,1,4,5]=>[6,5,2,1,7,4,3]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[2,3,6,7,1,5,4]=>[6,5,2,1,7,3,4]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[2,3,6,7,4,1,5]=>[6,5,2,1,4,7,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[2,3,6,7,4,5,1]=>[6,5,2,1,4,3,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[2,3,6,7,5,1,4]=>[6,5,2,1,3,7,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[2,3,6,7,5,4,1]=>[6,5,2,1,3,4,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[2,3,7,1,4,5,6]=>[6,5,1,7,4,3,2]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[2,3,7,1,4,6,5]=>[6,5,1,7,4,2,3]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[2,3,7,1,5,4,6]=>[6,5,1,7,3,4,2]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[2,3,7,1,5,6,4]=>[6,5,1,7,3,2,4]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[2,3,7,1,6,4,5]=>[6,5,1,7,2,4,3]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[2,3,7,1,6,5,4]=>[6,5,1,7,2,3,4]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[2,3,7,4,1,6,5]=>[6,5,1,4,7,2,3]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[2,3,7,4,5,1,6]=>[6,5,1,4,3,7,2]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[2,3,7,4,5,6,1]=>[6,5,1,4,3,2,7]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[2,3,7,4,6,1,5]=>[6,5,1,4,2,7,3]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[2,3,7,4,6,5,1]=>[6,5,1,4,2,3,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[2,3,7,5,1,4,6]=>[6,5,1,3,7,4,2]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[2,3,7,5,1,6,4]=>[6,5,1,3,7,2,4]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[2,3,7,5,4,1,6]=>[6,5,1,3,4,7,2]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[2,3,7,5,4,6,1]=>[6,5,1,3,4,2,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[2,3,7,5,6,1,4]=>[6,5,1,3,2,7,4]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[2,3,7,5,6,4,1]=>[6,5,1,3,2,4,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[2,3,7,6,1,4,5]=>[6,5,1,2,7,4,3]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[2,3,7,6,1,5,4]=>[6,5,1,2,7,3,4]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[2,3,7,6,4,1,5]=>[6,5,1,2,4,7,3]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[2,3,7,6,4,5,1]=>[6,5,1,2,4,3,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[2,3,7,6,5,1,4]=>[6,5,1,2,3,7,4]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[2,3,7,6,5,4,1]=>[6,5,1,2,3,4,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[2,4,1,3,5,6,7]=>[6,4,7,5,3,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[2,4,1,3,6,7,5]=>[6,4,7,5,2,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[2,4,1,3,7,5,6]=>[6,4,7,5,1,3,2]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,4,1,5,3,6,7]=>[6,4,7,3,5,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[2,4,1,5,3,7,6]=>[6,4,7,3,5,1,2]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[2,4,1,5,6,3,7]=>[6,4,7,3,2,5,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[2,4,1,5,6,7,3]=>[6,4,7,3,2,1,5]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[2,4,1,5,7,3,6]=>[6,4,7,3,1,5,2]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[2,4,1,5,7,6,3]=>[6,4,7,3,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[2,4,1,6,3,7,5]=>[6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[2,4,1,6,5,3,7]=>[6,4,7,2,3,5,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,4,1,6,5,7,3]=>[6,4,7,2,3,1,5]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,4,1,6,7,3,5]=>[6,4,7,2,1,5,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[2,4,1,6,7,5,3]=>[6,4,7,2,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,4,1,7,3,5,6]=>[6,4,7,1,5,3,2]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[2,4,1,7,5,3,6]=>[6,4,7,1,3,5,2]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,4,1,7,5,6,3]=>[6,4,7,1,3,2,5]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[2,4,1,7,6,5,3]=>[6,4,7,1,2,3,5]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,3,1,5,6,7]=>[6,4,5,7,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[2,4,3,1,5,7,6]=>[6,4,5,7,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,4,3,1,6,5,7]=>[6,4,5,7,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,4,3,1,6,7,5]=>[6,4,5,7,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,4,3,1,7,5,6]=>[6,4,5,7,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,4,3,1,7,6,5]=>[6,4,5,7,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,4,3,5,1,6,7]=>[6,4,5,3,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[2,4,3,5,1,7,6]=>[6,4,5,3,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,4,3,5,6,1,7]=>[6,4,5,3,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[2,4,3,5,6,7,1]=>[6,4,5,3,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[2,4,3,5,7,1,6]=>[6,4,5,3,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,4,3,5,7,6,1]=>[6,4,5,3,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,4,3,6,1,5,7]=>[6,4,5,2,7,3,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,4,3,6,1,7,5]=>[6,4,5,2,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,4,3,6,5,1,7]=>[6,4,5,2,3,7,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,4,3,6,5,7,1]=>[6,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,4,3,6,7,1,5]=>[6,4,5,2,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,4,3,6,7,5,1]=>[6,4,5,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,4,3,7,1,5,6]=>[6,4,5,1,7,3,2]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,4,3,7,1,6,5]=>[6,4,5,1,7,2,3]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[2,4,3,7,5,1,6]=>[6,4,5,1,3,7,2]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,4,3,7,5,6,1]=>[6,4,5,1,3,2,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,4,3,7,6,1,5]=>[6,4,5,1,2,7,3]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[2,4,3,7,6,5,1]=>[6,4,5,1,2,3,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,4,5,1,3,6,7]=>[6,4,3,7,5,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[2,4,5,1,3,7,6]=>[6,4,3,7,5,1,2]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[2,4,5,1,6,3,7]=>[6,4,3,7,2,5,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[2,4,5,1,6,7,3]=>[6,4,3,7,2,1,5]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[2,4,5,1,7,3,6]=>[6,4,3,7,1,5,2]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[2,4,5,1,7,6,3]=>[6,4,3,7,1,2,5]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[2,4,5,3,1,6,7]=>[6,4,3,5,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[2,4,5,3,1,7,6]=>[6,4,3,5,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[2,4,5,3,6,1,7]=>[6,4,3,5,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[2,4,5,3,6,7,1]=>[6,4,3,5,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[2,4,5,3,7,1,6]=>[6,4,3,5,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[2,4,5,3,7,6,1]=>[6,4,3,5,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[2,4,5,6,1,3,7]=>[6,4,3,2,7,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[2,4,5,6,1,7,3]=>[6,4,3,2,7,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[2,4,5,6,3,1,7]=>[6,4,3,2,5,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[2,4,5,6,3,7,1]=>[6,4,3,2,5,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[2,4,5,6,7,1,3]=>[6,4,3,2,1,7,5]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[2,4,5,6,7,3,1]=>[6,4,3,2,1,5,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[2,4,5,7,1,3,6]=>[6,4,3,1,7,5,2]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[2,4,5,7,1,6,3]=>[6,4,3,1,7,2,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[2,4,5,7,3,1,6]=>[6,4,3,1,5,7,2]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[2,4,5,7,3,6,1]=>[6,4,3,1,5,2,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[2,4,5,7,6,1,3]=>[6,4,3,1,2,7,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[2,4,5,7,6,3,1]=>[6,4,3,1,2,5,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[2,4,6,1,3,7,5]=>[6,4,2,7,5,1,3]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[2,4,6,1,5,3,7]=>[6,4,2,7,3,5,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[2,4,6,1,5,7,3]=>[6,4,2,7,3,1,5]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[2,4,6,1,7,3,5]=>[6,4,2,7,1,5,3]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[2,4,6,1,7,5,3]=>[6,4,2,7,1,3,5]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[2,4,6,3,1,5,7]=>[6,4,2,5,7,3,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[2,4,6,3,1,7,5]=>[6,4,2,5,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[2,4,6,3,5,1,7]=>[6,4,2,5,3,7,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[2,4,6,3,5,7,1]=>[6,4,2,5,3,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[2,4,6,3,7,1,5]=>[6,4,2,5,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[2,4,6,3,7,5,1]=>[6,4,2,5,1,3,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[2,4,6,5,1,3,7]=>[6,4,2,3,7,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[2,4,6,5,1,7,3]=>[6,4,2,3,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[2,4,6,5,3,1,7]=>[6,4,2,3,5,7,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[2,4,6,5,3,7,1]=>[6,4,2,3,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[2,4,6,5,7,1,3]=>[6,4,2,3,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[2,4,6,5,7,3,1]=>[6,4,2,3,1,5,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[2,4,6,7,1,3,5]=>[6,4,2,1,7,5,3]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[2,4,6,7,1,5,3]=>[6,4,2,1,7,3,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[2,4,6,7,3,1,5]=>[6,4,2,1,5,7,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[2,4,6,7,3,5,1]=>[6,4,2,1,5,3,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[2,4,6,7,5,1,3]=>[6,4,2,1,3,7,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[2,4,7,1,3,5,6]=>[6,4,1,7,5,3,2]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[2,4,7,1,5,3,6]=>[6,4,1,7,3,5,2]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[2,4,7,1,5,6,3]=>[6,4,1,7,3,2,5]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[2,4,7,1,6,5,3]=>[6,4,1,7,2,3,5]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[2,4,7,3,1,5,6]=>[6,4,1,5,7,3,2]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[2,4,7,3,1,6,5]=>[6,4,1,5,7,2,3]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[2,4,7,3,5,1,6]=>[6,4,1,5,3,7,2]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[2,4,7,3,5,6,1]=>[6,4,1,5,3,2,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[2,4,7,3,6,1,5]=>[6,4,1,5,2,7,3]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[2,4,7,3,6,5,1]=>[6,4,1,5,2,3,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[2,4,7,5,1,3,6]=>[6,4,1,3,7,5,2]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[2,4,7,5,1,6,3]=>[6,4,1,3,7,2,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[2,4,7,5,3,1,6]=>[6,4,1,3,5,7,2]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[2,4,7,5,3,6,1]=>[6,4,1,3,5,2,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[2,4,7,5,6,1,3]=>[6,4,1,3,2,7,5]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[2,4,7,5,6,3,1]=>[6,4,1,3,2,5,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[2,4,7,6,1,5,3]=>[6,4,1,2,7,3,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[2,4,7,6,3,1,5]=>[6,4,1,2,5,7,3]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[2,4,7,6,3,5,1]=>[6,4,1,2,5,3,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[2,4,7,6,5,1,3]=>[6,4,1,2,3,7,5]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[2,4,7,6,5,3,1]=>[6,4,1,2,3,5,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[2,5,1,3,4,6,7]=>[6,3,7,5,4,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[2,5,1,3,6,4,7]=>[6,3,7,5,2,4,1]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[2,5,1,3,6,7,4]=>[6,3,7,5,2,1,4]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[2,5,1,3,7,4,6]=>[6,3,7,5,1,4,2]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[2,5,1,3,7,6,4]=>[6,3,7,5,1,2,4]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[2,5,1,4,6,3,7]=>[6,3,7,4,2,5,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,5,1,4,6,7,3]=>[6,3,7,4,2,1,5]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[2,5,1,4,7,6,3]=>[6,3,7,4,1,2,5]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,5,1,6,3,4,7]=>[6,3,7,2,5,4,1]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[2,5,1,6,3,7,4]=>[6,3,7,2,5,1,4]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[2,5,1,6,4,3,7]=>[6,3,7,2,4,5,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,5,1,6,4,7,3]=>[6,3,7,2,4,1,5]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,5,1,6,7,3,4]=>[6,3,7,2,1,5,4]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[2,5,1,6,7,4,3]=>[6,3,7,2,1,4,5]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,5,1,7,3,4,6]=>[6,3,7,1,5,4,2]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[2,5,1,7,3,6,4]=>[6,3,7,1,5,2,4]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[2,5,1,7,4,6,3]=>[6,3,7,1,4,2,5]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[2,5,1,7,6,3,4]=>[6,3,7,1,2,5,4]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[2,5,1,7,6,4,3]=>[6,3,7,1,2,4,5]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,5,3,1,4,6,7]=>[6,3,5,7,4,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[2,5,3,1,4,7,6]=>[6,3,5,7,4,1,2]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,5,3,1,6,4,7]=>[6,3,5,7,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,5,3,1,6,7,4]=>[6,3,5,7,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,5,3,1,7,4,6]=>[6,3,5,7,1,4,2]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,5,3,1,7,6,4]=>[6,3,5,7,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,5,3,4,1,6,7]=>[6,3,5,4,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[2,5,3,4,1,7,6]=>[6,3,5,4,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,5,3,4,6,1,7]=>[6,3,5,4,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[2,5,3,4,6,7,1]=>[6,3,5,4,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[2,5,3,4,7,1,6]=>[6,3,5,4,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,5,3,4,7,6,1]=>[6,3,5,4,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,5,3,6,1,4,7]=>[6,3,5,2,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,5,3,6,1,7,4]=>[6,3,5,2,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,5,3,6,4,1,7]=>[6,3,5,2,4,7,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,5,3,6,4,7,1]=>[6,3,5,2,4,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,5,3,6,7,1,4]=>[6,3,5,2,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,5,3,6,7,4,1]=>[6,3,5,2,1,4,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,5,3,7,1,4,6]=>[6,3,5,1,7,4,2]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,5,3,7,1,6,4]=>[6,3,5,1,7,2,4]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[2,5,3,7,4,1,6]=>[6,3,5,1,4,7,2]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,5,3,7,4,6,1]=>[6,3,5,1,4,2,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,5,3,7,6,1,4]=>[6,3,5,1,2,7,4]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[2,5,3,7,6,4,1]=>[6,3,5,1,2,4,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,5,4,1,3,6,7]=>[6,3,4,7,5,2,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,5,4,1,6,3,7]=>[6,3,4,7,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,5,4,1,6,7,3]=>[6,3,4,7,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,5,4,1,7,6,3]=>[6,3,4,7,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,5,4,3,1,6,7]=>[6,3,4,5,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,5,4,3,1,7,6]=>[6,3,4,5,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,5,4,3,6,1,7]=>[6,3,4,5,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,5,4,3,6,7,1]=>[6,3,4,5,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,5,4,3,7,1,6]=>[6,3,4,5,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,5,4,3,7,6,1]=>[6,3,4,5,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,5,4,6,1,3,7]=>[6,3,4,2,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,5,4,6,1,7,3]=>[6,3,4,2,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,5,4,6,3,1,7]=>[6,3,4,2,5,7,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[2,5,4,6,3,7,1]=>[6,3,4,2,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[2,5,4,6,7,1,3]=>[6,3,4,2,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,5,4,6,7,3,1]=>[6,3,4,2,1,5,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[2,5,4,7,1,6,3]=>[6,3,4,1,7,2,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[2,5,4,7,3,1,6]=>[6,3,4,1,5,7,2]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,5,4,7,3,6,1]=>[6,3,4,1,5,2,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,5,4,7,6,1,3]=>[6,3,4,1,2,7,5]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[2,5,4,7,6,3,1]=>[6,3,4,1,2,5,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,5,6,1,3,4,7]=>[6,3,2,7,5,4,1]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[2,5,6,1,3,7,4]=>[6,3,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[2,5,6,1,4,3,7]=>[6,3,2,7,4,5,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[2,5,6,1,4,7,3]=>[6,3,2,7,4,1,5]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[2,5,6,1,7,3,4]=>[6,3,2,7,1,5,4]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[2,5,6,1,7,4,3]=>[6,3,2,7,1,4,5]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[2,5,6,3,1,4,7]=>[6,3,2,5,7,4,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[2,5,6,3,1,7,4]=>[6,3,2,5,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[2,5,6,3,4,1,7]=>[6,3,2,5,4,7,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[2,5,6,3,4,7,1]=>[6,3,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[2,5,6,3,7,1,4]=>[6,3,2,5,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[2,5,6,3,7,4,1]=>[6,3,2,5,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[2,5,6,4,1,3,7]=>[6,3,2,4,7,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[2,5,6,4,1,7,3]=>[6,3,2,4,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[2,5,6,4,3,1,7]=>[6,3,2,4,5,7,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[2,5,6,4,3,7,1]=>[6,3,2,4,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[2,5,6,4,7,1,3]=>[6,3,2,4,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[2,5,6,4,7,3,1]=>[6,3,2,4,1,5,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[2,5,6,7,1,3,4]=>[6,3,2,1,7,5,4]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[2,5,6,7,1,4,3]=>[6,3,2,1,7,4,5]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[2,5,6,7,3,1,4]=>[6,3,2,1,5,7,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[2,5,6,7,3,4,1]=>[6,3,2,1,5,4,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[2,5,6,7,4,1,3]=>[6,3,2,1,4,7,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[2,5,6,7,4,3,1]=>[6,3,2,1,4,5,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[2,5,7,1,3,4,6]=>[6,3,1,7,5,4,2]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[2,5,7,1,3,6,4]=>[6,3,1,7,5,2,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[2,5,7,1,4,6,3]=>[6,3,1,7,4,2,5]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[2,5,7,1,6,3,4]=>[6,3,1,7,2,5,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[2,5,7,1,6,4,3]=>[6,3,1,7,2,4,5]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[2,5,7,3,1,4,6]=>[6,3,1,5,7,4,2]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[2,5,7,3,1,6,4]=>[6,3,1,5,7,2,4]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[2,5,7,3,4,1,6]=>[6,3,1,5,4,7,2]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[2,5,7,3,4,6,1]=>[6,3,1,5,4,2,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[2,5,7,3,6,1,4]=>[6,3,1,5,2,7,4]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[2,5,7,3,6,4,1]=>[6,3,1,5,2,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[2,5,7,4,1,6,3]=>[6,3,1,4,7,2,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[2,5,7,4,3,1,6]=>[6,3,1,4,5,7,2]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[2,5,7,4,3,6,1]=>[6,3,1,4,5,2,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[2,5,7,4,6,1,3]=>[6,3,1,4,2,7,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[2,5,7,4,6,3,1]=>[6,3,1,4,2,5,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[2,5,7,6,1,3,4]=>[6,3,1,2,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[2,5,7,6,1,4,3]=>[6,3,1,2,7,4,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[2,5,7,6,3,1,4]=>[6,3,1,2,5,7,4]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[2,5,7,6,3,4,1]=>[6,3,1,2,5,4,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[2,5,7,6,4,1,3]=>[6,3,1,2,4,7,5]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[2,5,7,6,4,3,1]=>[6,3,1,2,4,5,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[2,6,1,3,4,5,7]=>[6,2,7,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[2,6,1,3,4,7,5]=>[6,2,7,5,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[2,6,1,3,5,4,7]=>[6,2,7,5,3,4,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,6,1,3,5,7,4]=>[6,2,7,5,3,1,4]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,6,1,3,7,4,5]=>[6,2,7,5,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[2,6,1,3,7,5,4]=>[6,2,7,5,1,3,4]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,6,1,4,3,5,7]=>[6,2,7,4,5,3,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,6,1,4,3,7,5]=>[6,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[2,6,1,4,5,3,7]=>[6,2,7,4,3,5,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,6,1,4,5,7,3]=>[6,2,7,4,3,1,5]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,6,1,4,7,3,5]=>[6,2,7,4,1,5,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[2,6,1,4,7,5,3]=>[6,2,7,4,1,3,5]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[2,6,1,5,3,4,7]=>[6,2,7,3,5,4,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,6,1,5,3,7,4]=>[6,2,7,3,5,1,4]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,6,1,5,4,7,3]=>[6,2,7,3,4,1,5]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,6,1,5,7,3,4]=>[6,2,7,3,1,5,4]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[2,6,1,5,7,4,3]=>[6,2,7,3,1,4,5]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[2,6,1,7,3,4,5]=>[6,2,7,1,5,4,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[2,6,1,7,4,3,5]=>[6,2,7,1,4,5,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[2,6,1,7,4,5,3]=>[6,2,7,1,4,3,5]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[2,6,1,7,5,3,4]=>[6,2,7,1,3,5,4]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[2,6,1,7,5,4,3]=>[6,2,7,1,3,4,5]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,6,3,1,4,5,7]=>[6,2,5,7,4,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[2,6,3,1,4,7,5]=>[6,2,5,7,4,1,3]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,3,1,5,4,7]=>[6,2,5,7,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,6,3,1,5,7,4]=>[6,2,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,3,1,7,4,5]=>[6,2,5,7,1,4,3]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,6,3,1,7,5,4]=>[6,2,5,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,6,3,4,1,5,7]=>[6,2,5,4,7,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[2,6,3,4,1,7,5]=>[6,2,5,4,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,6,3,4,5,1,7]=>[6,2,5,4,3,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[2,6,3,4,5,7,1]=>[6,2,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[2,6,3,4,7,1,5]=>[6,2,5,4,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,6,3,4,7,5,1]=>[6,2,5,4,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[2,6,3,5,1,4,7]=>[6,2,5,3,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,6,3,5,4,1,7]=>[6,2,5,3,4,7,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[2,6,3,5,4,7,1]=>[6,2,5,3,4,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[2,6,3,5,7,1,4]=>[6,2,5,3,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,6,3,5,7,4,1]=>[6,2,5,3,1,4,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[2,6,3,7,1,4,5]=>[6,2,5,1,7,4,3]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,6,3,7,1,5,4]=>[6,2,5,1,7,3,4]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[2,6,3,7,4,1,5]=>[6,2,5,1,4,7,3]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[2,6,3,7,4,5,1]=>[6,2,5,1,4,3,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[2,6,3,7,5,1,4]=>[6,2,5,1,3,7,4]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[2,6,3,7,5,4,1]=>[6,2,5,1,3,4,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,6,4,1,3,5,7]=>[6,2,4,7,5,3,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,6,4,1,3,7,5]=>[6,2,4,7,5,1,3]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,6,4,1,5,3,7]=>[6,2,4,7,3,5,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,6,4,1,5,7,3]=>[6,2,4,7,3,1,5]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,6,4,1,7,3,5]=>[6,2,4,7,1,5,3]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,6,4,1,7,5,3]=>[6,2,4,7,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[2,6,4,3,1,5,7]=>[6,2,4,5,7,3,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,6,4,3,1,7,5]=>[6,2,4,5,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,6,4,3,5,1,7]=>[6,2,4,5,3,7,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,6,4,3,5,7,1]=>[6,2,4,5,3,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,6,4,3,7,1,5]=>[6,2,4,5,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,6,4,3,7,5,1]=>[6,2,4,5,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,6,4,5,1,3,7]=>[6,2,4,3,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,6,4,5,1,7,3]=>[6,2,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,6,4,5,3,1,7]=>[6,2,4,3,5,7,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[2,6,4,5,3,7,1]=>[6,2,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[2,6,4,5,7,1,3]=>[6,2,4,3,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,6,4,5,7,3,1]=>[6,2,4,3,1,5,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[2,6,4,7,1,3,5]=>[6,2,4,1,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[2,6,4,7,1,5,3]=>[6,2,4,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[2,6,4,7,3,1,5]=>[6,2,4,1,5,7,3]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,6,4,7,3,5,1]=>[6,2,4,1,5,3,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,6,4,7,5,1,3]=>[6,2,4,1,3,7,5]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[2,6,4,7,5,3,1]=>[6,2,4,1,3,5,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[2,6,5,1,3,4,7]=>[6,2,3,7,5,4,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,6,5,1,3,7,4]=>[6,2,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,6,5,1,4,7,3]=>[6,2,3,7,4,1,5]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,6,5,1,7,3,4]=>[6,2,3,7,1,5,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,6,5,1,7,4,3]=>[6,2,3,7,1,4,5]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,6,5,3,1,4,7]=>[6,2,3,5,7,4,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,6,5,3,1,7,4]=>[6,2,3,5,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,6,5,3,4,1,7]=>[6,2,3,5,4,7,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,6,5,3,4,7,1]=>[6,2,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,6,5,3,7,1,4]=>[6,2,3,5,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,6,5,3,7,4,1]=>[6,2,3,5,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,6,5,4,1,3,7]=>[6,2,3,4,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,6,5,4,1,7,3]=>[6,2,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,6,5,4,3,1,7]=>[6,2,3,4,5,7,1]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,6,5,4,3,7,1]=>[6,2,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,6,5,4,7,1,3]=>[6,2,3,4,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,6,5,4,7,3,1]=>[6,2,3,4,1,5,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[2,6,5,7,1,3,4]=>[6,2,3,1,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[2,6,5,7,1,4,3]=>[6,2,3,1,7,4,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,6,5,7,3,1,4]=>[6,2,3,1,5,7,4]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,6,5,7,3,4,1]=>[6,2,3,1,5,4,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,6,5,7,4,1,3]=>[6,2,3,1,4,7,5]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,6,5,7,4,3,1]=>[6,2,3,1,4,5,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[2,6,7,1,3,4,5]=>[6,2,1,7,5,4,3]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[2,6,7,1,3,5,4]=>[6,2,1,7,5,3,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[2,6,7,1,4,3,5]=>[6,2,1,7,4,5,3]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[2,6,7,1,4,5,3]=>[6,2,1,7,4,3,5]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[2,6,7,1,5,3,4]=>[6,2,1,7,3,5,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[2,6,7,1,5,4,3]=>[6,2,1,7,3,4,5]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[2,6,7,3,1,4,5]=>[6,2,1,5,7,4,3]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[2,6,7,3,1,5,4]=>[6,2,1,5,7,3,4]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[2,6,7,3,4,1,5]=>[6,2,1,5,4,7,3]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[2,6,7,3,4,5,1]=>[6,2,1,5,4,3,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[2,6,7,3,5,1,4]=>[6,2,1,5,3,7,4]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[2,6,7,3,5,4,1]=>[6,2,1,5,3,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[2,6,7,4,1,3,5]=>[6,2,1,4,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[2,6,7,4,1,5,3]=>[6,2,1,4,7,3,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[2,6,7,4,3,1,5]=>[6,2,1,4,5,7,3]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[2,6,7,4,3,5,1]=>[6,2,1,4,5,3,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[2,6,7,4,5,1,3]=>[6,2,1,4,3,7,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[2,6,7,4,5,3,1]=>[6,2,1,4,3,5,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[2,6,7,5,1,3,4]=>[6,2,1,3,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[2,6,7,5,1,4,3]=>[6,2,1,3,7,4,5]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[2,6,7,5,3,1,4]=>[6,2,1,3,5,7,4]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[2,6,7,5,3,4,1]=>[6,2,1,3,5,4,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[2,6,7,5,4,1,3]=>[6,2,1,3,4,7,5]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[2,6,7,5,4,3,1]=>[6,2,1,3,4,5,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[2,7,1,3,4,5,6]=>[6,1,7,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,7,1,3,5,4,6]=>[6,1,7,5,3,4,2]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,7,1,3,5,6,4]=>[6,1,7,5,3,2,4]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,7,1,3,6,4,5]=>[6,1,7,5,2,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[2,7,1,4,3,5,6]=>[6,1,7,4,5,3,2]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[2,7,1,4,5,3,6]=>[6,1,7,4,3,5,2]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[2,7,1,4,5,6,3]=>[6,1,7,4,3,2,5]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[2,7,1,4,6,5,3]=>[6,1,7,4,2,3,5]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[2,7,1,5,3,4,6]=>[6,1,7,3,5,4,2]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,1,5,3,6,4]=>[6,1,7,3,5,2,4]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,7,1,5,4,6,3]=>[6,1,7,3,4,2,5]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,7,1,5,6,3,4]=>[6,1,7,3,2,5,4]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[2,7,1,5,6,4,3]=>[6,1,7,3,2,4,5]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[2,7,1,6,3,4,5]=>[6,1,7,2,5,4,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[2,7,1,6,3,5,4]=>[6,1,7,2,5,3,4]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,7,1,6,4,3,5]=>[6,1,7,2,4,5,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,7,1,6,4,5,3]=>[6,1,7,2,4,3,5]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[2,7,1,6,5,3,4]=>[6,1,7,2,3,5,4]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[2,7,3,1,4,5,6]=>[6,1,5,7,4,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[2,7,3,1,4,6,5]=>[6,1,5,7,4,2,3]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,7,3,1,5,4,6]=>[6,1,5,7,3,4,2]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,7,3,1,5,6,4]=>[6,1,5,7,3,2,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,7,3,1,6,4,5]=>[6,1,5,7,2,4,3]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,7,3,1,6,5,4]=>[6,1,5,7,2,3,4]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,7,3,4,1,5,6]=>[6,1,5,4,7,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[2,7,3,4,1,6,5]=>[6,1,5,4,7,2,3]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[2,7,3,4,5,6,1]=>[6,1,5,4,3,2,7]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[2,7,3,4,6,1,5]=>[6,1,5,4,2,7,3]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,7,3,4,6,5,1]=>[6,1,5,4,2,3,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[2,7,3,5,1,4,6]=>[6,1,5,3,7,4,2]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,7,3,5,1,6,4]=>[6,1,5,3,7,2,4]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,7,3,5,4,1,6]=>[6,1,5,3,4,7,2]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[2,7,3,5,4,6,1]=>[6,1,5,3,4,2,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[2,7,3,5,6,1,4]=>[6,1,5,3,2,7,4]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,7,3,5,6,4,1]=>[6,1,5,3,2,4,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[2,7,3,6,1,4,5]=>[6,1,5,2,7,4,3]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,7,3,6,1,5,4]=>[6,1,5,2,7,3,4]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,7,3,6,4,1,5]=>[6,1,5,2,4,7,3]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[2,7,3,6,4,5,1]=>[6,1,5,2,4,3,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[2,7,3,6,5,1,4]=>[6,1,5,2,3,7,4]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,7,3,6,5,4,1]=>[6,1,5,2,3,4,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[2,7,4,1,3,5,6]=>[6,1,4,7,5,3,2]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,7,4,1,5,3,6]=>[6,1,4,7,3,5,2]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[2,7,4,1,5,6,3]=>[6,1,4,7,3,2,5]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,7,4,1,6,5,3]=>[6,1,4,7,2,3,5]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,7,4,3,1,5,6]=>[6,1,4,5,7,3,2]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,7,4,3,1,6,5]=>[6,1,4,5,7,2,3]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,7,4,3,5,1,6]=>[6,1,4,5,3,7,2]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,7,4,3,5,6,1]=>[6,1,4,5,3,2,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,7,4,3,6,1,5]=>[6,1,4,5,2,7,3]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,7,4,3,6,5,1]=>[6,1,4,5,2,3,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,7,4,5,1,3,6]=>[6,1,4,3,7,5,2]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[2,7,4,5,1,6,3]=>[6,1,4,3,7,2,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[2,7,4,5,3,1,6]=>[6,1,4,3,5,7,2]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[2,7,4,5,3,6,1]=>[6,1,4,3,5,2,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[2,7,4,5,6,1,3]=>[6,1,4,3,2,7,5]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[2,7,4,5,6,3,1]=>[6,1,4,3,2,5,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[2,7,4,6,1,5,3]=>[6,1,4,2,7,3,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,7,4,6,3,1,5]=>[6,1,4,2,5,7,3]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,7,4,6,3,5,1]=>[6,1,4,2,5,3,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,7,4,6,5,1,3]=>[6,1,4,2,3,7,5]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,7,4,6,5,3,1]=>[6,1,4,2,3,5,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[2,7,5,1,3,4,6]=>[6,1,3,7,5,4,2]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,7,5,1,3,6,4]=>[6,1,3,7,5,2,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,7,5,1,4,6,3]=>[6,1,3,7,4,2,5]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,7,5,1,6,3,4]=>[6,1,3,7,2,5,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[2,7,5,1,6,4,3]=>[6,1,3,7,2,4,5]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,7,5,3,1,4,6]=>[6,1,3,5,7,4,2]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,7,5,3,1,6,4]=>[6,1,3,5,7,2,4]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,7,5,3,4,1,6]=>[6,1,3,5,4,7,2]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,7,5,3,4,6,1]=>[6,1,3,5,4,2,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,7,5,3,6,1,4]=>[6,1,3,5,2,7,4]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,7,5,3,6,4,1]=>[6,1,3,5,2,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[2,7,5,4,1,3,6]=>[6,1,3,4,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,7,5,4,1,6,3]=>[6,1,3,4,7,2,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,7,5,4,3,6,1]=>[6,1,3,4,5,2,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,7,5,4,6,1,3]=>[6,1,3,4,2,7,5]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,7,5,4,6,3,1]=>[6,1,3,4,2,5,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[2,7,5,6,1,3,4]=>[6,1,3,2,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[2,7,5,6,1,4,3]=>[6,1,3,2,7,4,5]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,7,5,6,3,1,4]=>[6,1,3,2,5,7,4]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,7,5,6,3,4,1]=>[6,1,3,2,5,4,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[2,7,5,6,4,1,3]=>[6,1,3,2,4,7,5]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[2,7,5,6,4,3,1]=>[6,1,3,2,4,5,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[2,7,6,1,3,4,5]=>[6,1,2,7,5,4,3]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[2,7,6,1,3,5,4]=>[6,1,2,7,5,3,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,7,6,1,4,3,5]=>[6,1,2,7,4,5,3]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,7,6,1,4,5,3]=>[6,1,2,7,4,3,5]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[2,7,6,1,5,3,4]=>[6,1,2,7,3,5,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[2,7,6,3,1,4,5]=>[6,1,2,5,7,4,3]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[2,7,6,3,1,5,4]=>[6,1,2,5,7,3,4]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,7,6,3,4,1,5]=>[6,1,2,5,4,7,3]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[2,7,6,3,4,5,1]=>[6,1,2,5,4,3,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[2,7,6,3,5,1,4]=>[6,1,2,5,3,7,4]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,7,6,3,5,4,1]=>[6,1,2,5,3,4,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[2,7,6,4,1,3,5]=>[6,1,2,4,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,7,6,4,1,5,3]=>[6,1,2,4,7,3,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[2,7,6,4,3,1,5]=>[6,1,2,4,5,7,3]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,7,6,4,3,5,1]=>[6,1,2,4,5,3,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,7,6,4,5,1,3]=>[6,1,2,4,3,7,5]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[2,7,6,4,5,3,1]=>[6,1,2,4,3,5,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[2,7,6,5,1,3,4]=>[6,1,2,3,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[2,7,6,5,3,1,4]=>[6,1,2,3,5,7,4]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[2,7,6,5,3,4,1]=>[6,1,2,3,5,4,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[2,7,6,5,4,3,1]=>[6,1,2,3,4,5,7]=>[[1,3,4,5,6,7],[2]]=>[2,5]
[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>[7]
[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[3,1,2,4,7,5,6]=>[5,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[3,1,2,5,6,4,7]=>[5,7,6,3,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[3,1,2,5,6,7,4]=>[5,7,6,3,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[3,1,2,5,7,6,4]=>[5,7,6,3,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[3,1,2,6,4,5,7]=>[5,7,6,2,4,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[3,1,2,6,4,7,5]=>[5,7,6,2,4,1,3]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[3,1,2,6,5,7,4]=>[5,7,6,2,3,1,4]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[3,1,2,6,7,4,5]=>[5,7,6,2,1,4,3]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[3,1,2,6,7,5,4]=>[5,7,6,2,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[3,1,2,7,4,5,6]=>[5,7,6,1,4,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[3,1,2,7,4,6,5]=>[5,7,6,1,4,2,3]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[3,1,2,7,5,4,6]=>[5,7,6,1,3,4,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[3,1,2,7,5,6,4]=>[5,7,6,1,3,2,4]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[3,1,2,7,6,4,5]=>[5,7,6,1,2,4,3]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[3,1,4,2,5,6,7]=>[5,7,4,6,3,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[3,1,4,2,5,7,6]=>[5,7,4,6,3,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[3,1,4,2,6,5,7]=>[5,7,4,6,2,3,1]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[3,1,4,2,6,7,5]=>[5,7,4,6,2,1,3]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[3,1,4,2,7,5,6]=>[5,7,4,6,1,3,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[3,1,4,2,7,6,5]=>[5,7,4,6,1,2,3]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,1,4,5,2,6,7]=>[5,7,4,3,6,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[3,1,4,5,2,7,6]=>[5,7,4,3,6,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[3,1,4,5,6,2,7]=>[5,7,4,3,2,6,1]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[3,1,4,5,6,7,2]=>[5,7,4,3,2,1,6]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[3,1,4,5,7,2,6]=>[5,7,4,3,1,6,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[3,1,4,5,7,6,2]=>[5,7,4,3,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[3,1,4,6,2,5,7]=>[5,7,4,2,6,3,1]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[3,1,4,6,2,7,5]=>[5,7,4,2,6,1,3]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[3,1,4,6,5,2,7]=>[5,7,4,2,3,6,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[3,1,4,6,5,7,2]=>[5,7,4,2,3,1,6]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[3,1,4,6,7,2,5]=>[5,7,4,2,1,6,3]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[3,1,4,6,7,5,2]=>[5,7,4,2,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[3,1,4,7,2,5,6]=>[5,7,4,1,6,3,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[3,1,4,7,2,6,5]=>[5,7,4,1,6,2,3]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[3,1,4,7,5,2,6]=>[5,7,4,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[3,1,4,7,5,6,2]=>[5,7,4,1,3,2,6]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[3,1,4,7,6,2,5]=>[5,7,4,1,2,6,3]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[3,1,4,7,6,5,2]=>[5,7,4,1,2,3,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[3,1,5,2,4,6,7]=>[5,7,3,6,4,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[3,1,5,2,6,4,7]=>[5,7,3,6,2,4,1]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[3,1,5,2,6,7,4]=>[5,7,3,6,2,1,4]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[3,1,5,2,7,6,4]=>[5,7,3,6,1,2,4]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,1,5,4,2,6,7]=>[5,7,3,4,6,2,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,1,5,4,2,7,6]=>[5,7,3,4,6,1,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,1,5,4,6,2,7]=>[5,7,3,4,2,6,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,1,5,4,6,7,2]=>[5,7,3,4,2,1,6]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,1,5,4,7,2,6]=>[5,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,1,5,4,7,6,2]=>[5,7,3,4,1,2,6]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,1,5,6,2,4,7]=>[5,7,3,2,6,4,1]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[3,1,5,6,2,7,4]=>[5,7,3,2,6,1,4]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[3,1,5,6,4,2,7]=>[5,7,3,2,4,6,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[3,1,5,6,4,7,2]=>[5,7,3,2,4,1,6]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[3,1,5,6,7,2,4]=>[5,7,3,2,1,6,4]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[3,1,5,6,7,4,2]=>[5,7,3,2,1,4,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[3,1,5,7,2,6,4]=>[5,7,3,1,6,2,4]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[3,1,5,7,4,2,6]=>[5,7,3,1,4,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[3,1,5,7,4,6,2]=>[5,7,3,1,4,2,6]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[3,1,5,7,6,2,4]=>[5,7,3,1,2,6,4]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[3,1,5,7,6,4,2]=>[5,7,3,1,2,4,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[3,1,6,2,4,5,7]=>[5,7,2,6,4,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[3,1,6,2,4,7,5]=>[5,7,2,6,4,1,3]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,1,6,2,5,7,4]=>[5,7,2,6,3,1,4]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,1,6,2,7,4,5]=>[5,7,2,6,1,4,3]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[3,1,6,2,7,5,4]=>[5,7,2,6,1,3,4]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,1,6,4,2,5,7]=>[5,7,2,4,6,3,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,1,6,4,5,2,7]=>[5,7,2,4,3,6,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,1,6,4,5,7,2]=>[5,7,2,4,3,1,6]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,1,6,4,7,2,5]=>[5,7,2,4,1,6,3]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,1,6,4,7,5,2]=>[5,7,2,4,1,3,6]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,1,6,5,2,4,7]=>[5,7,2,3,6,4,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,1,6,5,2,7,4]=>[5,7,2,3,6,1,4]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,1,6,5,4,2,7]=>[5,7,2,3,4,6,1]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,1,6,5,4,7,2]=>[5,7,2,3,4,1,6]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,1,6,5,7,2,4]=>[5,7,2,3,1,6,4]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,1,6,5,7,4,2]=>[5,7,2,3,1,4,6]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,1,6,7,2,4,5]=>[5,7,2,1,6,4,3]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[3,1,6,7,2,5,4]=>[5,7,2,1,6,3,4]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[3,1,6,7,4,2,5]=>[5,7,2,1,4,6,3]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[3,1,6,7,4,5,2]=>[5,7,2,1,4,3,6]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[3,1,6,7,5,2,4]=>[5,7,2,1,3,6,4]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[3,1,6,7,5,4,2]=>[5,7,2,1,3,4,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[3,1,7,2,4,5,6]=>[5,7,1,6,4,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[3,1,7,2,4,6,5]=>[5,7,1,6,4,2,3]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,1,7,2,5,4,6]=>[5,7,1,6,3,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,1,7,2,5,6,4]=>[5,7,1,6,3,2,4]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,1,7,2,6,4,5]=>[5,7,1,6,2,4,3]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,1,7,4,2,5,6]=>[5,7,1,4,6,3,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,1,7,4,2,6,5]=>[5,7,1,4,6,2,3]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,1,7,4,5,2,6]=>[5,7,1,4,3,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,1,7,4,5,6,2]=>[5,7,1,4,3,2,6]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,1,7,4,6,2,5]=>[5,7,1,4,2,6,3]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,1,7,4,6,5,2]=>[5,7,1,4,2,3,6]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,1,7,5,2,4,6]=>[5,7,1,3,6,4,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,1,7,5,2,6,4]=>[5,7,1,3,6,2,4]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,1,7,5,4,2,6]=>[5,7,1,3,4,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,1,7,5,4,6,2]=>[5,7,1,3,4,2,6]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,1,7,5,6,2,4]=>[5,7,1,3,2,6,4]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,1,7,5,6,4,2]=>[5,7,1,3,2,4,6]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,1,7,6,2,4,5]=>[5,7,1,2,6,4,3]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,1,7,6,4,2,5]=>[5,7,1,2,4,6,3]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,1,7,6,4,5,2]=>[5,7,1,2,4,3,6]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,1,7,6,5,2,4]=>[5,7,1,2,3,6,4]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,1,7,6,5,4,2]=>[5,7,1,2,3,4,6]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[3,2,1,4,6,7,5]=>[5,6,7,4,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[3,2,1,4,7,5,6]=>[5,6,7,4,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[3,2,1,5,6,4,7]=>[5,6,7,3,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[3,2,1,5,6,7,4]=>[5,6,7,3,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[3,2,1,5,7,6,4]=>[5,6,7,3,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[3,2,1,6,4,5,7]=>[5,6,7,2,4,3,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[3,2,1,6,4,7,5]=>[5,6,7,2,4,1,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[3,2,1,6,5,7,4]=>[5,6,7,2,3,1,4]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[3,2,1,6,7,5,4]=>[5,6,7,2,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[3,2,1,7,4,5,6]=>[5,6,7,1,4,3,2]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[3,2,1,7,4,6,5]=>[5,6,7,1,4,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[3,2,1,7,5,4,6]=>[5,6,7,1,3,4,2]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[3,2,1,7,6,4,5]=>[5,6,7,1,2,4,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[3,2,4,1,5,6,7]=>[5,6,4,7,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[3,2,4,1,5,7,6]=>[5,6,4,7,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[3,2,4,1,6,5,7]=>[5,6,4,7,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[3,2,4,1,6,7,5]=>[5,6,4,7,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[3,2,4,1,7,5,6]=>[5,6,4,7,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[3,2,4,1,7,6,5]=>[5,6,4,7,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[3,2,4,5,1,6,7]=>[5,6,4,3,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[3,2,4,5,1,7,6]=>[5,6,4,3,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[3,2,4,5,6,1,7]=>[5,6,4,3,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[3,2,4,5,6,7,1]=>[5,6,4,3,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[3,2,4,5,7,1,6]=>[5,6,4,3,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[3,2,4,5,7,6,1]=>[5,6,4,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[3,2,4,6,1,5,7]=>[5,6,4,2,7,3,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[3,2,4,6,1,7,5]=>[5,6,4,2,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[3,2,4,6,5,1,7]=>[5,6,4,2,3,7,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[3,2,4,6,5,7,1]=>[5,6,4,2,3,1,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[3,2,4,6,7,1,5]=>[5,6,4,2,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[3,2,4,6,7,5,1]=>[5,6,4,2,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[3,2,4,7,1,5,6]=>[5,6,4,1,7,3,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[3,2,4,7,1,6,5]=>[5,6,4,1,7,2,3]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[3,2,4,7,5,1,6]=>[5,6,4,1,3,7,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[3,2,4,7,5,6,1]=>[5,6,4,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[3,2,4,7,6,1,5]=>[5,6,4,1,2,7,3]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[3,2,4,7,6,5,1]=>[5,6,4,1,2,3,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[3,2,5,1,4,6,7]=>[5,6,3,7,4,2,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[3,2,5,1,6,4,7]=>[5,6,3,7,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[3,2,5,1,6,7,4]=>[5,6,3,7,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[3,2,5,1,7,6,4]=>[5,6,3,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[3,2,5,4,1,6,7]=>[5,6,3,4,7,2,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,2,5,4,1,7,6]=>[5,6,3,4,7,1,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,2,5,4,6,1,7]=>[5,6,3,4,2,7,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,2,5,4,6,7,1]=>[5,6,3,4,2,1,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,2,5,4,7,1,6]=>[5,6,3,4,1,7,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,2,5,4,7,6,1]=>[5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,2,5,6,1,4,7]=>[5,6,3,2,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[3,2,5,6,1,7,4]=>[5,6,3,2,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[3,2,5,6,4,1,7]=>[5,6,3,2,4,7,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[3,2,5,6,4,7,1]=>[5,6,3,2,4,1,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[3,2,5,6,7,1,4]=>[5,6,3,2,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[3,2,5,6,7,4,1]=>[5,6,3,2,1,4,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[3,2,5,7,1,6,4]=>[5,6,3,1,7,2,4]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[3,2,5,7,4,1,6]=>[5,6,3,1,4,7,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[3,2,5,7,4,6,1]=>[5,6,3,1,4,2,7]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[3,2,5,7,6,1,4]=>[5,6,3,1,2,7,4]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[3,2,5,7,6,4,1]=>[5,6,3,1,2,4,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[3,2,6,1,4,5,7]=>[5,6,2,7,4,3,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[3,2,6,1,4,7,5]=>[5,6,2,7,4,1,3]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[3,2,6,1,5,7,4]=>[5,6,2,7,3,1,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[3,2,6,1,7,4,5]=>[5,6,2,7,1,4,3]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[3,2,6,1,7,5,4]=>[5,6,2,7,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[3,2,6,4,1,5,7]=>[5,6,2,4,7,3,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,2,6,4,1,7,5]=>[5,6,2,4,7,1,3]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[3,2,6,4,5,1,7]=>[5,6,2,4,3,7,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,2,6,4,5,7,1]=>[5,6,2,4,3,1,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,2,6,4,7,1,5]=>[5,6,2,4,1,7,3]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[3,2,6,4,7,5,1]=>[5,6,2,4,1,3,7]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[3,2,6,5,1,7,4]=>[5,6,2,3,7,1,4]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[3,2,6,5,4,1,7]=>[5,6,2,3,4,7,1]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,2,6,5,4,7,1]=>[5,6,2,3,4,1,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,2,6,5,7,1,4]=>[5,6,2,3,1,7,4]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[3,2,6,5,7,4,1]=>[5,6,2,3,1,4,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,2,6,7,1,4,5]=>[5,6,2,1,7,4,3]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[3,2,6,7,1,5,4]=>[5,6,2,1,7,3,4]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[3,2,6,7,4,1,5]=>[5,6,2,1,4,7,3]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[3,2,6,7,4,5,1]=>[5,6,2,1,4,3,7]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[3,2,6,7,5,1,4]=>[5,6,2,1,3,7,4]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[3,2,6,7,5,4,1]=>[5,6,2,1,3,4,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[3,2,7,1,4,5,6]=>[5,6,1,7,4,3,2]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[3,2,7,1,4,6,5]=>[5,6,1,7,4,2,3]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[3,2,7,1,5,4,6]=>[5,6,1,7,3,4,2]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[3,2,7,1,5,6,4]=>[5,6,1,7,3,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[3,2,7,1,6,4,5]=>[5,6,1,7,2,4,3]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[3,2,7,4,1,5,6]=>[5,6,1,4,7,3,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[3,2,7,4,5,1,6]=>[5,6,1,4,3,7,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[3,2,7,4,5,6,1]=>[5,6,1,4,3,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[3,2,7,4,6,1,5]=>[5,6,1,4,2,7,3]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[3,2,7,4,6,5,1]=>[5,6,1,4,2,3,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,2,7,5,1,4,6]=>[5,6,1,3,7,4,2]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[3,2,7,5,1,6,4]=>[5,6,1,3,7,2,4]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[3,2,7,5,4,1,6]=>[5,6,1,3,4,7,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,2,7,5,4,6,1]=>[5,6,1,3,4,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,2,7,5,6,1,4]=>[5,6,1,3,2,7,4]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[3,2,7,5,6,4,1]=>[5,6,1,3,2,4,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[3,2,7,6,1,4,5]=>[5,6,1,2,7,4,3]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[3,2,7,6,4,1,5]=>[5,6,1,2,4,7,3]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[3,2,7,6,4,5,1]=>[5,6,1,2,4,3,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[3,2,7,6,5,4,1]=>[5,6,1,2,3,4,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[3,4,1,2,5,7,6]=>[5,4,7,6,3,1,2]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[3,4,1,2,6,5,7]=>[5,4,7,6,2,3,1]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[3,4,1,2,6,7,5]=>[5,4,7,6,2,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[3,4,1,2,7,5,6]=>[5,4,7,6,1,3,2]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[3,4,1,5,2,6,7]=>[5,4,7,3,6,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,3]
[3,4,1,5,2,7,6]=>[5,4,7,3,6,1,2]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[3,4,1,5,6,2,7]=>[5,4,7,3,2,6,1]=>[[1,3],[2,6],[4],[5],[7]]=>[2,3,2]
[3,4,1,5,6,7,2]=>[5,4,7,3,2,1,6]=>[[1,3],[2,7],[4],[5],[6]]=>[2,4,1]
[3,4,1,5,7,2,6]=>[5,4,7,3,1,6,2]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[3,4,1,5,7,6,2]=>[5,4,7,3,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[3,4,1,6,2,5,7]=>[5,4,7,2,6,3,1]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[3,4,1,6,2,7,5]=>[5,4,7,2,6,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[3,4,1,6,5,2,7]=>[5,4,7,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[3,4,1,6,5,7,2]=>[5,4,7,2,3,1,6]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[3,4,1,6,7,2,5]=>[5,4,7,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[3,4,1,6,7,5,2]=>[5,4,7,2,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[3,4,1,7,2,5,6]=>[5,4,7,1,6,3,2]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[3,4,1,7,2,6,5]=>[5,4,7,1,6,2,3]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[3,4,1,7,5,2,6]=>[5,4,7,1,3,6,2]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[3,4,1,7,5,6,2]=>[5,4,7,1,3,2,6]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[3,4,1,7,6,2,5]=>[5,4,7,1,2,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[3,4,1,7,6,5,2]=>[5,4,7,1,2,3,6]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[3,4,2,1,5,6,7]=>[5,4,6,7,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>[2,5]
[3,4,2,1,5,7,6]=>[5,4,6,7,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[3,4,2,1,6,5,7]=>[5,4,6,7,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[3,4,2,1,6,7,5]=>[5,4,6,7,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[3,4,2,1,7,5,6]=>[5,4,6,7,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[3,4,2,1,7,6,5]=>[5,4,6,7,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[3,4,2,5,1,6,7]=>[5,4,6,3,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>[2,2,3]
[3,4,2,5,1,7,6]=>[5,4,6,3,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[3,4,2,5,6,1,7]=>[5,4,6,3,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>[2,3,2]
[3,4,2,5,6,7,1]=>[5,4,6,3,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[2,4,1]
[3,4,2,5,7,1,6]=>[5,4,6,3,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[3,4,2,5,7,6,1]=>[5,4,6,3,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[3,4,2,6,1,5,7]=>[5,4,6,2,7,3,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[3,4,2,6,1,7,5]=>[5,4,6,2,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[3,4,2,6,5,1,7]=>[5,4,6,2,3,7,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[3,4,2,6,5,7,1]=>[5,4,6,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[3,4,2,6,7,1,5]=>[5,4,6,2,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[3,4,2,6,7,5,1]=>[5,4,6,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[3,4,2,7,1,5,6]=>[5,4,6,1,7,3,2]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[3,4,2,7,1,6,5]=>[5,4,6,1,7,2,3]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[3,4,2,7,5,1,6]=>[5,4,6,1,3,7,2]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[3,4,2,7,5,6,1]=>[5,4,6,1,3,2,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[3,4,2,7,6,1,5]=>[5,4,6,1,2,7,3]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[3,4,2,7,6,5,1]=>[5,4,6,1,2,3,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[3,4,5,1,2,6,7]=>[5,4,3,7,6,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>[3,4]
[3,4,5,1,2,7,6]=>[5,4,3,7,6,1,2]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[3,4,5,1,6,2,7]=>[5,4,3,7,2,6,1]=>[[1,4],[2,6],[3],[5],[7]]=>[3,2,2]
[3,4,5,1,6,7,2]=>[5,4,3,7,2,1,6]=>[[1,4],[2,7],[3],[5],[6]]=>[3,3,1]
[3,4,5,1,7,2,6]=>[5,4,3,7,1,6,2]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[3,4,5,1,7,6,2]=>[5,4,3,7,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,4,5,2,1,6,7]=>[5,4,3,6,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[3,4]
[3,4,5,2,1,7,6]=>[5,4,3,6,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,4,5,2,6,1,7]=>[5,4,3,6,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>[3,2,2]
[3,4,5,2,6,7,1]=>[5,4,3,6,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[3,3,1]
[3,4,5,2,7,1,6]=>[5,4,3,6,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,4,5,2,7,6,1]=>[5,4,3,6,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,4,5,6,1,2,7]=>[5,4,3,2,7,6,1]=>[[1,5],[2,6],[3],[4],[7]]=>[4,3]
[3,4,5,6,1,7,2]=>[5,4,3,2,7,1,6]=>[[1,5],[2,7],[3],[4],[6]]=>[4,2,1]
[3,4,5,6,2,1,7]=>[5,4,3,2,6,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>[4,3]
[3,4,5,6,2,7,1]=>[5,4,3,2,6,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[4,2,1]
[3,4,5,6,7,1,2]=>[5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]=>[5,2]
[3,4,5,6,7,2,1]=>[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]=>[5,2]
[3,4,5,7,1,2,6]=>[5,4,3,1,7,6,2]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[3,4,5,7,1,6,2]=>[5,4,3,1,7,2,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[3,4,5,7,2,1,6]=>[5,4,3,1,6,7,2]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[3,4,5,7,2,6,1]=>[5,4,3,1,6,2,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[3,4,5,7,6,1,2]=>[5,4,3,1,2,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[3,4,5,7,6,2,1]=>[5,4,3,1,2,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[3,4,6,1,2,5,7]=>[5,4,2,7,6,3,1]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[3,4,6,1,2,7,5]=>[5,4,2,7,6,1,3]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[3,4,6,1,5,2,7]=>[5,4,2,7,3,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,4,6,1,5,7,2]=>[5,4,2,7,3,1,6]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,4,6,1,7,2,5]=>[5,4,2,7,1,6,3]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[3,4,6,1,7,5,2]=>[5,4,2,7,1,3,6]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,4,6,2,1,5,7]=>[5,4,2,6,7,3,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,4,6,2,1,7,5]=>[5,4,2,6,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,4,6,2,5,1,7]=>[5,4,2,6,3,7,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,4,6,2,5,7,1]=>[5,4,2,6,3,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,4,6,2,7,1,5]=>[5,4,2,6,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,4,6,2,7,5,1]=>[5,4,2,6,1,3,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,4,6,5,1,2,7]=>[5,4,2,3,7,6,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,4,6,5,1,7,2]=>[5,4,2,3,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,4,6,5,2,1,7]=>[5,4,2,3,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,6,5,2,7,1]=>[5,4,2,3,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,4,6,5,7,1,2]=>[5,4,2,3,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,4,6,5,7,2,1]=>[5,4,2,3,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[3,4,6,7,1,2,5]=>[5,4,2,1,7,6,3]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[3,4,6,7,1,5,2]=>[5,4,2,1,7,3,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[3,4,6,7,2,1,5]=>[5,4,2,1,6,7,3]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[3,4,6,7,2,5,1]=>[5,4,2,1,6,3,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[3,4,6,7,5,1,2]=>[5,4,2,1,3,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[3,4,6,7,5,2,1]=>[5,4,2,1,3,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[3,4,7,1,2,5,6]=>[5,4,1,7,6,3,2]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[3,4,7,1,2,6,5]=>[5,4,1,7,6,2,3]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,4,7,1,5,2,6]=>[5,4,1,7,3,6,2]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,4,7,1,5,6,2]=>[5,4,1,7,3,2,6]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,4,7,1,6,2,5]=>[5,4,1,7,2,6,3]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,4,7,1,6,5,2]=>[5,4,1,7,2,3,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,4,7,2,1,5,6]=>[5,4,1,6,7,3,2]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,4,7,2,1,6,5]=>[5,4,1,6,7,2,3]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,4,7,2,5,1,6]=>[5,4,1,6,3,7,2]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,4,7,2,5,6,1]=>[5,4,1,6,3,2,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,4,7,2,6,1,5]=>[5,4,1,6,2,7,3]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[3,4,7,2,6,5,1]=>[5,4,1,6,2,3,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,4,7,5,1,2,6]=>[5,4,1,3,7,6,2]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,4,7,5,1,6,2]=>[5,4,1,3,7,2,6]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,4,7,5,2,1,6]=>[5,4,1,3,6,7,2]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,4,7,5,2,6,1]=>[5,4,1,3,6,2,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,4,7,5,6,1,2]=>[5,4,1,3,2,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,4,7,5,6,2,1]=>[5,4,1,3,2,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[3,4,7,6,1,2,5]=>[5,4,1,2,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,4,7,6,1,5,2]=>[5,4,1,2,7,3,6]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,4,7,6,2,1,5]=>[5,4,1,2,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,4,7,6,2,5,1]=>[5,4,1,2,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,4,7,6,5,1,2]=>[5,4,1,2,3,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,4,7,6,5,2,1]=>[5,4,1,2,3,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,5,1,2,4,6,7]=>[5,3,7,6,4,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[3,5,1,2,6,4,7]=>[5,3,7,6,2,4,1]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[3,5,1,2,6,7,4]=>[5,3,7,6,2,1,4]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[3,5,1,2,7,6,4]=>[5,3,7,6,1,2,4]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[3,5,1,4,6,2,7]=>[5,3,7,4,2,6,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[3,5,1,4,6,7,2]=>[5,3,7,4,2,1,6]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[3,5,1,4,7,2,6]=>[5,3,7,4,1,6,2]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[3,5,1,4,7,6,2]=>[5,3,7,4,1,2,6]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[3,5,1,6,2,4,7]=>[5,3,7,2,6,4,1]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[3,5,1,6,2,7,4]=>[5,3,7,2,6,1,4]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[3,5,1,6,4,2,7]=>[5,3,7,2,4,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[3,5,1,6,4,7,2]=>[5,3,7,2,4,1,6]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[3,5,1,6,7,2,4]=>[5,3,7,2,1,6,4]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[3,5,1,6,7,4,2]=>[5,3,7,2,1,4,6]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[3,5,1,7,4,2,6]=>[5,3,7,1,4,6,2]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[3,5,1,7,4,6,2]=>[5,3,7,1,4,2,6]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[3,5,1,7,6,2,4]=>[5,3,7,1,2,6,4]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[3,5,1,7,6,4,2]=>[5,3,7,1,2,4,6]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[3,5,2,1,4,6,7]=>[5,3,6,7,4,2,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[3,5,2,1,6,4,7]=>[5,3,6,7,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[3,5,2,1,6,7,4]=>[5,3,6,7,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[3,5,2,1,7,4,6]=>[5,3,6,7,1,4,2]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[3,5,2,1,7,6,4]=>[5,3,6,7,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[3,5,2,4,1,6,7]=>[5,3,6,4,7,2,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[3,5,2,4,1,7,6]=>[5,3,6,4,7,1,2]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[3,5,2,4,6,1,7]=>[5,3,6,4,2,7,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[3,5,2,4,6,7,1]=>[5,3,6,4,2,1,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[3,5,2,4,7,1,6]=>[5,3,6,4,1,7,2]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[3,5,2,4,7,6,1]=>[5,3,6,4,1,2,7]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[3,5,2,6,1,4,7]=>[5,3,6,2,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[3,5,2,6,1,7,4]=>[5,3,6,2,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[3,5,2,6,4,1,7]=>[5,3,6,2,4,7,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[3,5,2,6,4,7,1]=>[5,3,6,2,4,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[3,5,2,6,7,1,4]=>[5,3,6,2,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[3,5,2,6,7,4,1]=>[5,3,6,2,1,4,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[3,5,2,7,1,4,6]=>[5,3,6,1,7,4,2]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[3,5,2,7,1,6,4]=>[5,3,6,1,7,2,4]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[3,5,2,7,4,1,6]=>[5,3,6,1,4,7,2]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[3,5,2,7,4,6,1]=>[5,3,6,1,4,2,7]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[3,5,2,7,6,1,4]=>[5,3,6,1,2,7,4]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[3,5,2,7,6,4,1]=>[5,3,6,1,2,4,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[3,5,4,1,2,6,7]=>[5,3,4,7,6,2,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[3,5,4,1,2,7,6]=>[5,3,4,7,6,1,2]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[3,5,4,1,6,2,7]=>[5,3,4,7,2,6,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[3,5,4,1,6,7,2]=>[5,3,4,7,2,1,6]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[3,5,4,1,7,2,6]=>[5,3,4,7,1,6,2]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[3,5,4,1,7,6,2]=>[5,3,4,7,1,2,6]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[3,5,4,2,1,6,7]=>[5,3,4,6,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[3,5,4,2,1,7,6]=>[5,3,4,6,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[3,5,4,2,6,1,7]=>[5,3,4,6,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[3,5,4,2,6,7,1]=>[5,3,4,6,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[3,5,4,2,7,1,6]=>[5,3,4,6,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[3,5,4,2,7,6,1]=>[5,3,4,6,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[3,5,4,6,1,2,7]=>[5,3,4,2,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[3,5,4,6,1,7,2]=>[5,3,4,2,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[3,5,4,6,2,1,7]=>[5,3,4,2,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[3,5,4,6,2,7,1]=>[5,3,4,2,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[3,5,4,6,7,1,2]=>[5,3,4,2,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[3,5,4,6,7,2,1]=>[5,3,4,2,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[3,5,4,7,1,2,6]=>[5,3,4,1,7,6,2]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[3,5,4,7,1,6,2]=>[5,3,4,1,7,2,6]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[3,5,4,7,2,1,6]=>[5,3,4,1,6,7,2]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[3,5,4,7,2,6,1]=>[5,3,4,1,6,2,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[3,5,4,7,6,1,2]=>[5,3,4,1,2,7,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[3,5,4,7,6,2,1]=>[5,3,4,1,2,6,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[3,5,6,1,2,4,7]=>[5,3,2,7,6,4,1]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[3,5,6,1,2,7,4]=>[5,3,2,7,6,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[3,5,6,1,4,2,7]=>[5,3,2,7,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,5,6,1,4,7,2]=>[5,3,2,7,4,1,6]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,5,6,1,7,2,4]=>[5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[3,5,6,1,7,4,2]=>[5,3,2,7,1,4,6]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,6,2,1,4,7]=>[5,3,2,6,7,4,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,5,6,2,1,7,4]=>[5,3,2,6,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,5,6,2,4,1,7]=>[5,3,2,6,4,7,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[3,5,6,2,4,7,1]=>[5,3,2,6,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[3,5,6,2,7,1,4]=>[5,3,2,6,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,5,6,2,7,4,1]=>[5,3,2,6,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[3,5,6,4,1,2,7]=>[5,3,2,4,7,6,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[3,5,6,4,1,7,2]=>[5,3,2,4,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[3,5,6,4,2,1,7]=>[5,3,2,4,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[3,5,6,4,2,7,1]=>[5,3,2,4,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[3,5,6,4,7,1,2]=>[5,3,2,4,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[3,5,6,4,7,2,1]=>[5,3,2,4,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[3,5,6,7,1,2,4]=>[5,3,2,1,7,6,4]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[3,5,6,7,1,4,2]=>[5,3,2,1,7,4,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[3,5,6,7,2,1,4]=>[5,3,2,1,6,7,4]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[3,5,6,7,2,4,1]=>[5,3,2,1,6,4,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[3,5,6,7,4,1,2]=>[5,3,2,1,4,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[3,5,6,7,4,2,1]=>[5,3,2,1,4,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[3,5,7,1,2,6,4]=>[5,3,1,7,6,2,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,5,7,1,4,2,6]=>[5,3,1,7,4,6,2]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,5,7,1,4,6,2]=>[5,3,1,7,4,2,6]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,5,7,1,6,2,4]=>[5,3,1,7,2,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,5,7,1,6,4,2]=>[5,3,1,7,2,4,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,7,2,1,4,6]=>[5,3,1,6,7,4,2]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,5,7,2,1,6,4]=>[5,3,1,6,7,2,4]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,5,7,2,4,1,6]=>[5,3,1,6,4,7,2]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,5,7,2,4,6,1]=>[5,3,1,6,4,2,7]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,5,7,2,6,1,4]=>[5,3,1,6,2,7,4]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[3,5,7,2,6,4,1]=>[5,3,1,6,2,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,7,4,1,2,6]=>[5,3,1,4,7,6,2]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,5,7,4,1,6,2]=>[5,3,1,4,7,2,6]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,5,7,4,2,1,6]=>[5,3,1,4,6,7,2]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,5,7,4,2,6,1]=>[5,3,1,4,6,2,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,5,7,4,6,1,2]=>[5,3,1,4,2,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[3,5,7,4,6,2,1]=>[5,3,1,4,2,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,5,7,6,1,2,4]=>[5,3,1,2,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,5,7,6,1,4,2]=>[5,3,1,2,7,4,6]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,5,7,6,2,1,4]=>[5,3,1,2,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,5,7,6,2,4,1]=>[5,3,1,2,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,5,7,6,4,1,2]=>[5,3,1,2,4,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,5,7,6,4,2,1]=>[5,3,1,2,4,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,6,1,2,4,5,7]=>[5,2,7,6,4,3,1]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[3,6,1,2,4,7,5]=>[5,2,7,6,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[3,6,1,2,5,7,4]=>[5,2,7,6,3,1,4]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[3,6,1,2,7,4,5]=>[5,2,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[3,6,1,2,7,5,4]=>[5,2,7,6,1,3,4]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[3,6,1,4,2,5,7]=>[5,2,7,4,6,3,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[3,6,1,4,2,7,5]=>[5,2,7,4,6,1,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[3,6,1,4,5,7,2]=>[5,2,7,4,3,1,6]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[3,6,1,4,7,5,2]=>[5,2,7,4,1,3,6]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[3,6,1,5,2,4,7]=>[5,2,7,3,6,4,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[3,6,1,5,2,7,4]=>[5,2,7,3,6,1,4]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[3,6,1,5,4,7,2]=>[5,2,7,3,4,1,6]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[3,6,1,5,7,2,4]=>[5,2,7,3,1,6,4]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[3,6,1,5,7,4,2]=>[5,2,7,3,1,4,6]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[3,6,1,7,2,4,5]=>[5,2,7,1,6,4,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[3,6,1,7,2,5,4]=>[5,2,7,1,6,3,4]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[3,6,1,7,4,2,5]=>[5,2,7,1,4,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[3,6,1,7,4,5,2]=>[5,2,7,1,4,3,6]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[3,6,1,7,5,4,2]=>[5,2,7,1,3,4,6]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[3,6,2,1,4,5,7]=>[5,2,6,7,4,3,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[3,6,2,1,4,7,5]=>[5,2,6,7,4,1,3]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[3,6,2,1,5,7,4]=>[5,2,6,7,3,1,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[3,6,2,1,7,4,5]=>[5,2,6,7,1,4,3]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[3,6,2,1,7,5,4]=>[5,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[3,6,2,4,1,5,7]=>[5,2,6,4,7,3,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[3,6,2,4,1,7,5]=>[5,2,6,4,7,1,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[3,6,2,4,5,1,7]=>[5,2,6,4,3,7,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[3,6,2,4,5,7,1]=>[5,2,6,4,3,1,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[3,6,2,4,7,1,5]=>[5,2,6,4,1,7,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[3,6,2,4,7,5,1]=>[5,2,6,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[3,6,2,5,1,7,4]=>[5,2,6,3,7,1,4]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[3,6,2,5,4,1,7]=>[5,2,6,3,4,7,1]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[3,6,2,5,4,7,1]=>[5,2,6,3,4,1,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[3,6,2,5,7,1,4]=>[5,2,6,3,1,7,4]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[3,6,2,5,7,4,1]=>[5,2,6,3,1,4,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[3,6,2,7,1,4,5]=>[5,2,6,1,7,4,3]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[3,6,2,7,1,5,4]=>[5,2,6,1,7,3,4]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[3,6,2,7,4,1,5]=>[5,2,6,1,4,7,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[3,6,2,7,4,5,1]=>[5,2,6,1,4,3,7]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[3,6,2,7,5,1,4]=>[5,2,6,1,3,7,4]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[3,6,2,7,5,4,1]=>[5,2,6,1,3,4,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[3,6,4,1,2,5,7]=>[5,2,4,7,6,3,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[3,6,4,1,2,7,5]=>[5,2,4,7,6,1,3]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[3,6,4,1,5,2,7]=>[5,2,4,7,3,6,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[3,6,4,1,5,7,2]=>[5,2,4,7,3,1,6]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[3,6,4,1,7,2,5]=>[5,2,4,7,1,6,3]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[3,6,4,1,7,5,2]=>[5,2,4,7,1,3,6]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[3,6,4,2,1,5,7]=>[5,2,4,6,7,3,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[3,6,4,2,1,7,5]=>[5,2,4,6,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[3,6,4,2,5,1,7]=>[5,2,4,6,3,7,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[3,6,4,2,5,7,1]=>[5,2,4,6,3,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[3,6,4,2,7,1,5]=>[5,2,4,6,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[3,6,4,2,7,5,1]=>[5,2,4,6,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[3,6,4,5,1,2,7]=>[5,2,4,3,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[3,6,4,5,1,7,2]=>[5,2,4,3,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[3,6,4,5,2,1,7]=>[5,2,4,3,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[3,6,4,5,2,7,1]=>[5,2,4,3,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[3,6,4,5,7,1,2]=>[5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[3,6,4,5,7,2,1]=>[5,2,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[3,6,4,7,1,2,5]=>[5,2,4,1,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[3,6,4,7,1,5,2]=>[5,2,4,1,7,3,6]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[3,6,4,7,2,1,5]=>[5,2,4,1,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[3,6,4,7,2,5,1]=>[5,2,4,1,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[3,6,4,7,5,1,2]=>[5,2,4,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[3,6,4,7,5,2,1]=>[5,2,4,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[3,6,5,1,2,4,7]=>[5,2,3,7,6,4,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[3,6,5,1,2,7,4]=>[5,2,3,7,6,1,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[3,6,5,1,4,2,7]=>[5,2,3,7,4,6,1]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[3,6,5,1,4,7,2]=>[5,2,3,7,4,1,6]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[3,6,5,1,7,2,4]=>[5,2,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[3,6,5,1,7,4,2]=>[5,2,3,7,1,4,6]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[3,6,5,2,1,4,7]=>[5,2,3,6,7,4,1]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[3,6,5,2,1,7,4]=>[5,2,3,6,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[3,6,5,2,4,1,7]=>[5,2,3,6,4,7,1]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[3,6,5,2,4,7,1]=>[5,2,3,6,4,1,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[3,6,5,2,7,1,4]=>[5,2,3,6,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[3,6,5,2,7,4,1]=>[5,2,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[3,6,5,4,1,2,7]=>[5,2,3,4,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[3,6,5,4,1,7,2]=>[5,2,3,4,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[3,6,5,4,2,1,7]=>[5,2,3,4,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[3,6,5,4,2,7,1]=>[5,2,3,4,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[3,6,5,4,7,1,2]=>[5,2,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[3,6,5,4,7,2,1]=>[5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[3,6,5,7,1,2,4]=>[5,2,3,1,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[3,6,5,7,1,4,2]=>[5,2,3,1,7,4,6]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[3,6,5,7,2,1,4]=>[5,2,3,1,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[3,6,5,7,2,4,1]=>[5,2,3,1,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[3,6,5,7,4,1,2]=>[5,2,3,1,4,7,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[3,6,5,7,4,2,1]=>[5,2,3,1,4,6,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[3,6,7,1,2,4,5]=>[5,2,1,7,6,4,3]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[3,6,7,1,2,5,4]=>[5,2,1,7,6,3,4]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,6,7,1,4,2,5]=>[5,2,1,7,4,6,3]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,6,7,1,4,5,2]=>[5,2,1,7,4,3,6]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,6,7,1,5,2,4]=>[5,2,1,7,3,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,6,7,1,5,4,2]=>[5,2,1,7,3,4,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,6,7,2,1,4,5]=>[5,2,1,6,7,4,3]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,6,7,2,1,5,4]=>[5,2,1,6,7,3,4]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,6,7,2,4,1,5]=>[5,2,1,6,4,7,3]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[3,6,7,2,4,5,1]=>[5,2,1,6,4,3,7]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[3,6,7,2,5,1,4]=>[5,2,1,6,3,7,4]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[3,6,7,2,5,4,1]=>[5,2,1,6,3,4,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,6,7,4,1,5,2]=>[5,2,1,4,7,3,6]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[3,6,7,4,2,1,5]=>[5,2,1,4,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,6,7,4,2,5,1]=>[5,2,1,4,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,6,7,4,5,1,2]=>[5,2,1,4,3,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[3,6,7,4,5,2,1]=>[5,2,1,4,3,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[3,6,7,5,1,2,4]=>[5,2,1,3,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[3,6,7,5,1,4,2]=>[5,2,1,3,7,4,6]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,6,7,5,2,1,4]=>[5,2,1,3,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,6,7,5,2,4,1]=>[5,2,1,3,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[3,6,7,5,4,1,2]=>[5,2,1,3,4,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[3,6,7,5,4,2,1]=>[5,2,1,3,4,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[3,7,1,2,4,5,6]=>[5,1,7,6,4,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[3,7,1,2,4,6,5]=>[5,1,7,6,4,2,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[3,7,1,2,5,4,6]=>[5,1,7,6,3,4,2]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[3,7,1,2,5,6,4]=>[5,1,7,6,3,2,4]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[3,7,1,2,6,4,5]=>[5,1,7,6,2,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[3,7,1,4,2,5,6]=>[5,1,7,4,6,3,2]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[3,7,1,4,2,6,5]=>[5,1,7,4,6,2,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[3,7,1,4,5,2,6]=>[5,1,7,4,3,6,2]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[3,7,1,4,6,2,5]=>[5,1,7,4,2,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[3,7,1,5,2,4,6]=>[5,1,7,3,6,4,2]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[3,7,1,5,2,6,4]=>[5,1,7,3,6,2,4]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[3,7,1,5,4,2,6]=>[5,1,7,3,4,6,2]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[3,7,1,5,6,2,4]=>[5,1,7,3,2,6,4]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[3,7,1,5,6,4,2]=>[5,1,7,3,2,4,6]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[3,7,1,6,2,4,5]=>[5,1,7,2,6,4,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[3,7,1,6,4,2,5]=>[5,1,7,2,4,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[3,7,1,6,4,5,2]=>[5,1,7,2,4,3,6]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[3,7,1,6,5,2,4]=>[5,1,7,2,3,6,4]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[3,7,2,1,4,5,6]=>[5,1,6,7,4,3,2]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[3,7,2,1,4,6,5]=>[5,1,6,7,4,2,3]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[3,7,2,1,5,4,6]=>[5,1,6,7,3,4,2]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[3,7,2,1,5,6,4]=>[5,1,6,7,3,2,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[3,7,2,1,6,4,5]=>[5,1,6,7,2,4,3]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[3,7,2,4,1,5,6]=>[5,1,6,4,7,3,2]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[3,7,2,4,1,6,5]=>[5,1,6,4,7,2,3]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[3,7,2,4,5,1,6]=>[5,1,6,4,3,7,2]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[3,7,2,4,5,6,1]=>[5,1,6,4,3,2,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[3,7,2,4,6,5,1]=>[5,1,6,4,2,3,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[3,7,2,5,1,4,6]=>[5,1,6,3,7,4,2]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[3,7,2,5,1,6,4]=>[5,1,6,3,7,2,4]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[3,7,2,5,4,1,6]=>[5,1,6,3,4,7,2]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[3,7,2,5,4,6,1]=>[5,1,6,3,4,2,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[3,7,2,5,6,1,4]=>[5,1,6,3,2,7,4]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[3,7,2,5,6,4,1]=>[5,1,6,3,2,4,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[3,7,2,6,1,4,5]=>[5,1,6,2,7,4,3]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[3,7,2,6,4,1,5]=>[5,1,6,2,4,7,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[3,7,2,6,4,5,1]=>[5,1,6,2,4,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[3,7,2,6,5,4,1]=>[5,1,6,2,3,4,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[3,7,4,1,2,5,6]=>[5,1,4,7,6,3,2]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[3,7,4,1,2,6,5]=>[5,1,4,7,6,2,3]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[3,7,4,1,5,2,6]=>[5,1,4,7,3,6,2]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[3,7,4,1,5,6,2]=>[5,1,4,7,3,2,6]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[3,7,4,1,6,2,5]=>[5,1,4,7,2,6,3]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[3,7,4,1,6,5,2]=>[5,1,4,7,2,3,6]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[3,7,4,2,1,5,6]=>[5,1,4,6,7,3,2]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[3,7,4,2,1,6,5]=>[5,1,4,6,7,2,3]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[3,7,4,2,5,1,6]=>[5,1,4,6,3,7,2]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[3,7,4,2,5,6,1]=>[5,1,4,6,3,2,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[3,7,4,2,6,1,5]=>[5,1,4,6,2,7,3]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[3,7,4,2,6,5,1]=>[5,1,4,6,2,3,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[3,7,4,5,1,2,6]=>[5,1,4,3,7,6,2]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[3,7,4,5,1,6,2]=>[5,1,4,3,7,2,6]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[3,7,4,5,2,1,6]=>[5,1,4,3,6,7,2]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[3,7,4,5,2,6,1]=>[5,1,4,3,6,2,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[3,7,4,5,6,1,2]=>[5,1,4,3,2,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[3,7,4,5,6,2,1]=>[5,1,4,3,2,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[3,7,4,6,1,2,5]=>[5,1,4,2,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[3,7,4,6,1,5,2]=>[5,1,4,2,7,3,6]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[3,7,4,6,2,1,5]=>[5,1,4,2,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[3,7,4,6,2,5,1]=>[5,1,4,2,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[3,7,4,6,5,1,2]=>[5,1,4,2,3,7,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[3,7,4,6,5,2,1]=>[5,1,4,2,3,6,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[3,7,5,1,2,4,6]=>[5,1,3,7,6,4,2]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[3,7,5,1,2,6,4]=>[5,1,3,7,6,2,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[3,7,5,1,4,2,6]=>[5,1,3,7,4,6,2]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[3,7,5,1,4,6,2]=>[5,1,3,7,4,2,6]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[3,7,5,1,6,2,4]=>[5,1,3,7,2,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[3,7,5,1,6,4,2]=>[5,1,3,7,2,4,6]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[3,7,5,2,1,4,6]=>[5,1,3,6,7,4,2]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[3,7,5,2,1,6,4]=>[5,1,3,6,7,2,4]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[3,7,5,2,4,1,6]=>[5,1,3,6,4,7,2]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[3,7,5,2,4,6,1]=>[5,1,3,6,4,2,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[3,7,5,2,6,1,4]=>[5,1,3,6,2,7,4]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[3,7,5,2,6,4,1]=>[5,1,3,6,2,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[3,7,5,4,1,2,6]=>[5,1,3,4,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[3,7,5,4,1,6,2]=>[5,1,3,4,7,2,6]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[3,7,5,4,2,1,6]=>[5,1,3,4,6,7,2]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[3,7,5,4,2,6,1]=>[5,1,3,4,6,2,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[3,7,5,4,6,1,2]=>[5,1,3,4,2,7,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[3,7,5,4,6,2,1]=>[5,1,3,4,2,6,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[3,7,5,6,1,2,4]=>[5,1,3,2,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[3,7,5,6,1,4,2]=>[5,1,3,2,7,4,6]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[3,7,5,6,2,1,4]=>[5,1,3,2,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[3,7,5,6,2,4,1]=>[5,1,3,2,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[3,7,5,6,4,1,2]=>[5,1,3,2,4,7,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[3,7,5,6,4,2,1]=>[5,1,3,2,4,6,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[3,7,6,1,2,4,5]=>[5,1,2,7,6,4,3]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[3,7,6,1,4,2,5]=>[5,1,2,7,4,6,3]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[3,7,6,1,4,5,2]=>[5,1,2,7,4,3,6]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[3,7,6,1,5,2,4]=>[5,1,2,7,3,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[3,7,6,1,5,4,2]=>[5,1,2,7,3,4,6]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[3,7,6,2,1,4,5]=>[5,1,2,6,7,4,3]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[3,7,6,2,4,1,5]=>[5,1,2,6,4,7,3]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[3,7,6,2,4,5,1]=>[5,1,2,6,4,3,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[3,7,6,2,5,4,1]=>[5,1,2,6,3,4,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[3,7,6,4,1,2,5]=>[5,1,2,4,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[3,7,6,4,1,5,2]=>[5,1,2,4,7,3,6]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[3,7,6,4,2,5,1]=>[5,1,2,4,6,3,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[3,7,6,4,5,1,2]=>[5,1,2,4,3,7,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[3,7,6,4,5,2,1]=>[5,1,2,4,3,6,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[3,7,6,5,1,2,4]=>[5,1,2,3,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[3,7,6,5,1,4,2]=>[5,1,2,3,7,4,6]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[3,7,6,5,2,1,4]=>[5,1,2,3,6,7,4]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[3,7,6,5,2,4,1]=>[5,1,2,3,6,4,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[3,7,6,5,4,1,2]=>[5,1,2,3,4,7,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[3,7,6,5,4,2,1]=>[5,1,2,3,4,6,7]=>[[1,3,4,5,6,7],[2]]=>[2,5]
[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>[7]
[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[4,1,2,3,6,7,5]=>[4,7,6,5,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[4,1,2,3,7,5,6]=>[4,7,6,5,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[4,1,2,5,3,6,7]=>[4,7,6,3,5,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[4,1,2,5,3,7,6]=>[4,7,6,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[4,1,2,5,6,3,7]=>[4,7,6,3,2,5,1]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[4,1,2,5,6,7,3]=>[4,7,6,3,2,1,5]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[4,1,2,5,7,3,6]=>[4,7,6,3,1,5,2]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[4,1,2,5,7,6,3]=>[4,7,6,3,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[4,1,2,6,3,5,7]=>[4,7,6,2,5,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[4,1,2,6,3,7,5]=>[4,7,6,2,5,1,3]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[4,1,2,6,5,3,7]=>[4,7,6,2,3,5,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,1,2,6,5,7,3]=>[4,7,6,2,3,1,5]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,1,2,6,7,3,5]=>[4,7,6,2,1,5,3]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[4,1,2,6,7,5,3]=>[4,7,6,2,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[4,1,2,7,3,5,6]=>[4,7,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,1,2,7,5,3,6]=>[4,7,6,1,3,5,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,1,2,7,5,6,3]=>[4,7,6,1,3,2,5]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,1,2,7,6,3,5]=>[4,7,6,1,2,5,3]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,1,2,7,6,5,3]=>[4,7,6,1,2,3,5]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,1,3,2,5,6,7]=>[4,7,5,6,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[4,1,3,2,6,7,5]=>[4,7,5,6,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[4,1,3,2,7,5,6]=>[4,7,5,6,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[4,1,3,5,2,6,7]=>[4,7,5,3,6,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[4,1,3,5,2,7,6]=>[4,7,5,3,6,1,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,1,3,5,6,2,7]=>[4,7,5,3,2,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[4,1,3,5,6,7,2]=>[4,7,5,3,2,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[4,1,3,5,7,2,6]=>[4,7,5,3,1,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[4,1,3,5,7,6,2]=>[4,7,5,3,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,1,3,6,2,7,5]=>[4,7,5,2,6,1,3]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,1,3,6,5,2,7]=>[4,7,5,2,3,6,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,1,3,6,5,7,2]=>[4,7,5,2,3,1,6]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,1,3,6,7,2,5]=>[4,7,5,2,1,6,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[4,1,3,6,7,5,2]=>[4,7,5,2,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[4,1,3,7,2,5,6]=>[4,7,5,1,6,3,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,1,3,7,5,2,6]=>[4,7,5,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,1,3,7,5,6,2]=>[4,7,5,1,3,2,6]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,1,3,7,6,5,2]=>[4,7,5,1,2,3,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,1,5,2,3,6,7]=>[4,7,3,6,5,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[4,1,5,2,3,7,6]=>[4,7,3,6,5,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[4,1,5,2,6,3,7]=>[4,7,3,6,2,5,1]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[4,1,5,2,6,7,3]=>[4,7,3,6,2,1,5]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[4,1,5,2,7,3,6]=>[4,7,3,6,1,5,2]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[4,1,5,2,7,6,3]=>[4,7,3,6,1,2,5]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[4,1,5,3,2,6,7]=>[4,7,3,5,6,2,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[4,1,5,3,2,7,6]=>[4,7,3,5,6,1,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[4,1,5,3,6,2,7]=>[4,7,3,5,2,6,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[4,1,5,3,6,7,2]=>[4,7,3,5,2,1,6]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[4,1,5,3,7,2,6]=>[4,7,3,5,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[4,1,5,3,7,6,2]=>[4,7,3,5,1,2,6]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[4,1,5,6,2,3,7]=>[4,7,3,2,6,5,1]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[4,1,5,6,2,7,3]=>[4,7,3,2,6,1,5]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[4,1,5,6,3,2,7]=>[4,7,3,2,5,6,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,1,5,6,3,7,2]=>[4,7,3,2,5,1,6]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,1,5,6,7,2,3]=>[4,7,3,2,1,6,5]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[4,1,5,6,7,3,2]=>[4,7,3,2,1,5,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[4,1,5,7,2,3,6]=>[4,7,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[4,1,5,7,2,6,3]=>[4,7,3,1,6,2,5]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,1,5,7,3,2,6]=>[4,7,3,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,1,5,7,3,6,2]=>[4,7,3,1,5,2,6]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,1,5,7,6,2,3]=>[4,7,3,1,2,6,5]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,1,5,7,6,3,2]=>[4,7,3,1,2,5,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,1,6,2,3,5,7]=>[4,7,2,6,5,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[4,1,6,2,3,7,5]=>[4,7,2,6,5,1,3]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[4,1,6,2,5,3,7]=>[4,7,2,6,3,5,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[4,1,6,2,5,7,3]=>[4,7,2,6,3,1,5]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[4,1,6,2,7,3,5]=>[4,7,2,6,1,5,3]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[4,1,6,2,7,5,3]=>[4,7,2,6,1,3,5]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[4,1,6,3,2,5,7]=>[4,7,2,5,6,3,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[4,1,6,3,2,7,5]=>[4,7,2,5,6,1,3]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[4,1,6,3,5,2,7]=>[4,7,2,5,3,6,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[4,1,6,3,5,7,2]=>[4,7,2,5,3,1,6]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[4,1,6,3,7,2,5]=>[4,7,2,5,1,6,3]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[4,1,6,3,7,5,2]=>[4,7,2,5,1,3,6]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[4,1,6,5,2,3,7]=>[4,7,2,3,6,5,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[4,1,6,5,2,7,3]=>[4,7,2,3,6,1,5]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[4,1,6,5,3,2,7]=>[4,7,2,3,5,6,1]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[4,1,6,5,3,7,2]=>[4,7,2,3,5,1,6]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[4,1,6,5,7,2,3]=>[4,7,2,3,1,6,5]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[4,1,6,5,7,3,2]=>[4,7,2,3,1,5,6]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[4,1,6,7,2,3,5]=>[4,7,2,1,6,5,3]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[4,1,6,7,2,5,3]=>[4,7,2,1,6,3,5]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,1,6,7,3,2,5]=>[4,7,2,1,5,6,3]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,1,6,7,3,5,2]=>[4,7,2,1,5,3,6]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,1,6,7,5,2,3]=>[4,7,2,1,3,6,5]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,1,6,7,5,3,2]=>[4,7,2,1,3,5,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,1,7,2,3,5,6]=>[4,7,1,6,5,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[4,1,7,2,5,3,6]=>[4,7,1,6,3,5,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[4,1,7,2,5,6,3]=>[4,7,1,6,3,2,5]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[4,1,7,2,6,3,5]=>[4,7,1,6,2,5,3]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[4,1,7,2,6,5,3]=>[4,7,1,6,2,3,5]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[4,1,7,3,2,5,6]=>[4,7,1,5,6,3,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[4,1,7,3,5,2,6]=>[4,7,1,5,3,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[4,1,7,3,5,6,2]=>[4,7,1,5,3,2,6]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[4,1,7,3,6,5,2]=>[4,7,1,5,2,3,6]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[4,1,7,5,2,3,6]=>[4,7,1,3,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[4,1,7,5,2,6,3]=>[4,7,1,3,6,2,5]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[4,1,7,5,3,2,6]=>[4,7,1,3,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[4,1,7,5,3,6,2]=>[4,7,1,3,5,2,6]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[4,1,7,5,6,2,3]=>[4,7,1,3,2,6,5]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[4,1,7,5,6,3,2]=>[4,7,1,3,2,5,6]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[4,1,7,6,2,3,5]=>[4,7,1,2,6,5,3]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[4,1,7,6,2,5,3]=>[4,7,1,2,6,3,5]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[4,1,7,6,3,5,2]=>[4,7,1,2,5,3,6]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[4,1,7,6,5,2,3]=>[4,7,1,2,3,6,5]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[4,1,7,6,5,3,2]=>[4,7,1,2,3,5,6]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[4,2,1,3,6,7,5]=>[4,6,7,5,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[4,2,1,3,7,5,6]=>[4,6,7,5,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[4,2,1,5,3,6,7]=>[4,6,7,3,5,2,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,2,1,5,3,7,6]=>[4,6,7,3,5,1,2]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[4,2,1,5,6,3,7]=>[4,6,7,3,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[4,2,1,5,6,7,3]=>[4,6,7,3,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[4,2,1,5,7,3,6]=>[4,6,7,3,1,5,2]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[4,2,1,5,7,6,3]=>[4,6,7,3,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[4,2,1,6,3,5,7]=>[4,6,7,2,5,3,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,2,1,6,3,7,5]=>[4,6,7,2,5,1,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[4,2,1,6,5,3,7]=>[4,6,7,2,3,5,1]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,2,1,6,5,7,3]=>[4,6,7,2,3,1,5]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[4,2,1,6,7,3,5]=>[4,6,7,2,1,5,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[4,2,1,6,7,5,3]=>[4,6,7,2,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[4,2,1,7,3,5,6]=>[4,6,7,1,5,3,2]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[4,2,1,7,5,3,6]=>[4,6,7,1,3,5,2]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,2,1,7,5,6,3]=>[4,6,7,1,3,2,5]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[4,2,1,7,6,3,5]=>[4,6,7,1,2,5,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,2,1,7,6,5,3]=>[4,6,7,1,2,3,5]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[4,2,3,1,6,7,5]=>[4,6,5,7,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[4,2,3,1,7,5,6]=>[4,6,5,7,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[4,2,3,5,1,6,7]=>[4,6,5,3,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[4,2,3,5,1,7,6]=>[4,6,5,3,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,2,3,5,6,1,7]=>[4,6,5,3,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[4,2,3,5,6,7,1]=>[4,6,5,3,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[4,2,3,5,7,1,6]=>[4,6,5,3,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[4,2,3,5,7,6,1]=>[4,6,5,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[4,2,3,6,1,5,7]=>[4,6,5,2,7,3,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,2,3,6,1,7,5]=>[4,6,5,2,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,2,3,6,5,1,7]=>[4,6,5,2,3,7,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,2,3,6,5,7,1]=>[4,6,5,2,3,1,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,2,3,6,7,1,5]=>[4,6,5,2,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[4,2,3,6,7,5,1]=>[4,6,5,2,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[4,2,3,7,1,5,6]=>[4,6,5,1,7,3,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,2,3,7,1,6,5]=>[4,6,5,1,7,2,3]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,2,3,7,5,1,6]=>[4,6,5,1,3,7,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,2,3,7,5,6,1]=>[4,6,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,2,3,7,6,1,5]=>[4,6,5,1,2,7,3]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,2,3,7,6,5,1]=>[4,6,5,1,2,3,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[4,2,5,1,6,3,7]=>[4,6,3,7,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[4,2,5,1,6,7,3]=>[4,6,3,7,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[4,2,5,1,7,3,6]=>[4,6,3,7,1,5,2]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[4,2,5,1,7,6,3]=>[4,6,3,7,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[4,2,5,3,1,6,7]=>[4,6,3,5,7,2,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[4,2,5,3,1,7,6]=>[4,6,3,5,7,1,2]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[4,2,5,3,6,1,7]=>[4,6,3,5,2,7,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[4,2,5,3,6,7,1]=>[4,6,3,5,2,1,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[4,2,5,3,7,1,6]=>[4,6,3,5,1,7,2]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[4,2,5,3,7,6,1]=>[4,6,3,5,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[4,2,5,6,1,3,7]=>[4,6,3,2,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,2,5,6,1,7,3]=>[4,6,3,2,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,2,5,6,3,1,7]=>[4,6,3,2,5,7,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[4,2,5,6,3,7,1]=>[4,6,3,2,5,1,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[4,2,5,6,7,1,3]=>[4,6,3,2,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[4,2,5,6,7,3,1]=>[4,6,3,2,1,5,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[4,2,5,7,1,3,6]=>[4,6,3,1,7,5,2]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,2,5,7,1,6,3]=>[4,6,3,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,2,5,7,3,1,6]=>[4,6,3,1,5,7,2]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,2,5,7,3,6,1]=>[4,6,3,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,2,5,7,6,1,3]=>[4,6,3,1,2,7,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,2,5,7,6,3,1]=>[4,6,3,1,2,5,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,2,6,1,3,5,7]=>[4,6,2,7,5,3,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[4,2,6,1,3,7,5]=>[4,6,2,7,5,1,3]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[4,2,6,1,5,7,3]=>[4,6,2,7,3,1,5]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[4,2,6,1,7,5,3]=>[4,6,2,7,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[4,2,6,3,1,5,7]=>[4,6,2,5,7,3,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[4,2,6,3,1,7,5]=>[4,6,2,5,7,1,3]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[4,2,6,3,5,1,7]=>[4,6,2,5,3,7,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[4,2,6,3,5,7,1]=>[4,6,2,5,3,1,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[4,2,6,3,7,1,5]=>[4,6,2,5,1,7,3]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[4,2,6,3,7,5,1]=>[4,6,2,5,1,3,7]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[4,2,6,5,1,3,7]=>[4,6,2,3,7,5,1]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[4,2,6,5,1,7,3]=>[4,6,2,3,7,1,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[4,2,6,5,3,1,7]=>[4,6,2,3,5,7,1]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[4,2,6,5,3,7,1]=>[4,6,2,3,5,1,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[4,2,6,5,7,1,3]=>[4,6,2,3,1,7,5]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[4,2,6,5,7,3,1]=>[4,6,2,3,1,5,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[4,2,6,7,1,3,5]=>[4,6,2,1,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,2,6,7,1,5,3]=>[4,6,2,1,7,3,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,2,6,7,3,1,5]=>[4,6,2,1,5,7,3]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[4,2,6,7,3,5,1]=>[4,6,2,1,5,3,7]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[4,2,6,7,5,1,3]=>[4,6,2,1,3,7,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,2,6,7,5,3,1]=>[4,6,2,1,3,5,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,2,7,1,3,5,6]=>[4,6,1,7,5,3,2]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[4,2,7,1,5,3,6]=>[4,6,1,7,3,5,2]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[4,2,7,1,6,3,5]=>[4,6,1,7,2,5,3]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[4,2,7,3,1,5,6]=>[4,6,1,5,7,3,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[4,2,7,3,1,6,5]=>[4,6,1,5,7,2,3]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[4,2,7,3,5,1,6]=>[4,6,1,5,3,7,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[4,2,7,3,5,6,1]=>[4,6,1,5,3,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[4,2,7,3,6,1,5]=>[4,6,1,5,2,7,3]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[4,2,7,3,6,5,1]=>[4,6,1,5,2,3,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[4,2,7,5,1,3,6]=>[4,6,1,3,7,5,2]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[4,2,7,5,1,6,3]=>[4,6,1,3,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[4,2,7,5,3,1,6]=>[4,6,1,3,5,7,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[4,2,7,5,3,6,1]=>[4,6,1,3,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[4,2,7,5,6,1,3]=>[4,6,1,3,2,7,5]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[4,2,7,5,6,3,1]=>[4,6,1,3,2,5,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[4,2,7,6,1,3,5]=>[4,6,1,2,7,5,3]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[4,2,7,6,1,5,3]=>[4,6,1,2,7,3,5]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[4,2,7,6,3,1,5]=>[4,6,1,2,5,7,3]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[4,2,7,6,3,5,1]=>[4,6,1,2,5,3,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[4,2,7,6,5,1,3]=>[4,6,1,2,3,7,5]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[4,2,7,6,5,3,1]=>[4,6,1,2,3,5,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[4,3,1,2,6,7,5]=>[4,5,7,6,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[4,3,1,2,7,5,6]=>[4,5,7,6,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[4,3,1,5,2,6,7]=>[4,5,7,3,6,2,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,3,1,5,2,7,6]=>[4,5,7,3,6,1,2]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[4,3,1,5,6,2,7]=>[4,5,7,3,2,6,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[4,3,1,5,6,7,2]=>[4,5,7,3,2,1,6]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[4,3,1,5,7,2,6]=>[4,5,7,3,1,6,2]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[4,3,1,5,7,6,2]=>[4,5,7,3,1,2,6]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[4,3,1,6,2,5,7]=>[4,5,7,2,6,3,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,3,1,6,2,7,5]=>[4,5,7,2,6,1,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[4,3,1,6,5,2,7]=>[4,5,7,2,3,6,1]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,3,1,6,5,7,2]=>[4,5,7,2,3,1,6]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[4,3,1,6,7,2,5]=>[4,5,7,2,1,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[4,3,1,6,7,5,2]=>[4,5,7,2,1,3,6]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[4,3,1,7,2,5,6]=>[4,5,7,1,6,3,2]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[4,3,1,7,5,2,6]=>[4,5,7,1,3,6,2]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,3,1,7,5,6,2]=>[4,5,7,1,3,2,6]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[4,3,1,7,6,5,2]=>[4,5,7,1,2,3,6]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[4,3,2,1,6,7,5]=>[4,5,6,7,2,1,3]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[4,3,2,1,7,5,6]=>[4,5,6,7,1,3,2]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[4,3,2,5,1,7,6]=>[4,5,6,3,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[4,3,2,5,6,1,7]=>[4,5,6,3,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[4,3,2,5,6,7,1]=>[4,5,6,3,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[4,3,2,5,7,1,6]=>[4,5,6,3,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[4,3,2,5,7,6,1]=>[4,5,6,3,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[4,3,2,6,1,7,5]=>[4,5,6,2,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[4,3,2,6,5,1,7]=>[4,5,6,2,3,7,1]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,3,2,6,5,7,1]=>[4,5,6,2,3,1,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[4,3,2,6,7,1,5]=>[4,5,6,2,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[4,3,2,6,7,5,1]=>[4,5,6,2,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[4,3,2,7,1,5,6]=>[4,5,6,1,7,3,2]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[4,3,2,7,5,1,6]=>[4,5,6,1,3,7,2]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[4,3,2,7,5,6,1]=>[4,5,6,1,3,2,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[4,3,2,7,6,5,1]=>[4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[4,3,5,1,2,6,7]=>[4,5,3,7,6,2,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[4,3,5,1,2,7,6]=>[4,5,3,7,6,1,2]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[4,3,5,1,6,2,7]=>[4,5,3,7,2,6,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[4,3,5,1,6,7,2]=>[4,5,3,7,2,1,6]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[4,3,5,1,7,2,6]=>[4,5,3,7,1,6,2]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[4,3,5,1,7,6,2]=>[4,5,3,7,1,2,6]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[4,3,5,2,1,6,7]=>[4,5,3,6,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[4,3,5,2,1,7,6]=>[4,5,3,6,7,1,2]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[4,3,5,2,6,7,1]=>[4,5,3,6,2,1,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[4,3,5,2,7,1,6]=>[4,5,3,6,1,7,2]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[4,3,5,2,7,6,1]=>[4,5,3,6,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[4,3,5,6,1,2,7]=>[4,5,3,2,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[4,3,5,6,1,7,2]=>[4,5,3,2,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[4,3,5,6,2,7,1]=>[4,5,3,2,6,1,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[4,3,5,6,7,1,2]=>[4,5,3,2,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[4,3,5,6,7,2,1]=>[4,5,3,2,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[4,3,5,7,1,2,6]=>[4,5,3,1,7,6,2]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,3,5,7,1,6,2]=>[4,5,3,1,7,2,6]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,3,5,7,2,1,6]=>[4,5,3,1,6,7,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,3,5,7,2,6,1]=>[4,5,3,1,6,2,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,3,5,7,6,1,2]=>[4,5,3,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,3,5,7,6,2,1]=>[4,5,3,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,3,6,1,2,5,7]=>[4,5,2,7,6,3,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[4,3,6,1,2,7,5]=>[4,5,2,7,6,1,3]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[4,3,6,1,5,2,7]=>[4,5,2,7,3,6,1]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[4,3,6,1,5,7,2]=>[4,5,2,7,3,1,6]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[4,3,6,1,7,2,5]=>[4,5,2,7,1,6,3]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[4,3,6,1,7,5,2]=>[4,5,2,7,1,3,6]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[4,3,6,2,1,5,7]=>[4,5,2,6,7,3,1]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[4,3,6,2,1,7,5]=>[4,5,2,6,7,1,3]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[4,3,6,2,5,1,7]=>[4,5,2,6,3,7,1]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[4,3,6,2,5,7,1]=>[4,5,2,6,3,1,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[4,3,6,2,7,1,5]=>[4,5,2,6,1,7,3]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[4,3,6,2,7,5,1]=>[4,5,2,6,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[4,3,6,5,1,2,7]=>[4,5,2,3,7,6,1]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[4,3,6,5,1,7,2]=>[4,5,2,3,7,1,6]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[4,3,6,5,2,1,7]=>[4,5,2,3,6,7,1]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[4,3,6,5,2,7,1]=>[4,5,2,3,6,1,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[4,3,6,5,7,1,2]=>[4,5,2,3,1,7,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[4,3,6,5,7,2,1]=>[4,5,2,3,1,6,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[4,3,6,7,1,2,5]=>[4,5,2,1,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[4,3,6,7,1,5,2]=>[4,5,2,1,7,3,6]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[4,3,6,7,2,1,5]=>[4,5,2,1,6,7,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[4,3,6,7,2,5,1]=>[4,5,2,1,6,3,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[4,3,6,7,5,1,2]=>[4,5,2,1,3,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[4,3,6,7,5,2,1]=>[4,5,2,1,3,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[4,3,7,1,2,5,6]=>[4,5,1,7,6,3,2]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[4,3,7,1,5,2,6]=>[4,5,1,7,3,6,2]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[4,3,7,1,5,6,2]=>[4,5,1,7,3,2,6]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[4,3,7,1,6,5,2]=>[4,5,1,7,2,3,6]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[4,3,7,2,1,5,6]=>[4,5,1,6,7,3,2]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[4,3,7,2,5,1,6]=>[4,5,1,6,3,7,2]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[4,3,7,2,5,6,1]=>[4,5,1,6,3,2,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[4,3,7,2,6,5,1]=>[4,5,1,6,2,3,7]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[4,3,7,5,1,2,6]=>[4,5,1,3,7,6,2]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[4,3,7,5,1,6,2]=>[4,5,1,3,7,2,6]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[4,3,7,5,2,1,6]=>[4,5,1,3,6,7,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[4,3,7,5,2,6,1]=>[4,5,1,3,6,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[4,3,7,5,6,1,2]=>[4,5,1,3,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[4,3,7,5,6,2,1]=>[4,5,1,3,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[4,3,7,6,1,5,2]=>[4,5,1,2,7,3,6]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[4,3,7,6,2,5,1]=>[4,5,1,2,6,3,7]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[4,3,7,6,5,1,2]=>[4,5,1,2,3,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[4,3,7,6,5,2,1]=>[4,5,1,2,3,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[4,5,1,2,3,6,7]=>[4,3,7,6,5,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[4,5,1,2,3,7,6]=>[4,3,7,6,5,1,2]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[4,5,1,2,6,3,7]=>[4,3,7,6,2,5,1]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[4,5,1,2,6,7,3]=>[4,3,7,6,2,1,5]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[4,5,1,2,7,3,6]=>[4,3,7,6,1,5,2]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[4,5,1,2,7,6,3]=>[4,3,7,6,1,2,5]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[4,5,1,3,2,6,7]=>[4,3,7,5,6,2,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,5,1,3,2,7,6]=>[4,3,7,5,6,1,2]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[4,5,1,3,6,2,7]=>[4,3,7,5,2,6,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[4,5,1,3,6,7,2]=>[4,3,7,5,2,1,6]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[4,5,1,3,7,2,6]=>[4,3,7,5,1,6,2]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[4,5,1,3,7,6,2]=>[4,3,7,5,1,2,6]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[4,5,1,6,2,3,7]=>[4,3,7,2,6,5,1]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[4,5,1,6,2,7,3]=>[4,3,7,2,6,1,5]=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]
[4,5,1,6,3,2,7]=>[4,3,7,2,5,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,5,1,6,3,7,2]=>[4,3,7,2,5,1,6]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,5,1,6,7,2,3]=>[4,3,7,2,1,6,5]=>[[1,3],[2,6],[4,7],[5]]=>[2,3,2]
[4,5,1,6,7,3,2]=>[4,3,7,2,1,5,6]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[4,5,1,7,2,3,6]=>[4,3,7,1,6,5,2]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[4,5,1,7,2,6,3]=>[4,3,7,1,6,2,5]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,5,1,7,3,2,6]=>[4,3,7,1,5,6,2]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,5,1,7,3,6,2]=>[4,3,7,1,5,2,6]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,5,1,7,6,2,3]=>[4,3,7,1,2,6,5]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,5,1,7,6,3,2]=>[4,3,7,1,2,5,6]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,5,2,1,3,6,7]=>[4,3,6,7,5,2,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[4,5,2,1,3,7,6]=>[4,3,6,7,5,1,2]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[4,5,2,1,6,3,7]=>[4,3,6,7,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[4,5,2,1,6,7,3]=>[4,3,6,7,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[4,5,2,1,7,3,6]=>[4,3,6,7,1,5,2]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[4,5,2,1,7,6,3]=>[4,3,6,7,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[4,5,2,3,1,6,7]=>[4,3,6,5,7,2,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,5,2,3,1,7,6]=>[4,3,6,5,7,1,2]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[4,5,2,3,6,1,7]=>[4,3,6,5,2,7,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[4,5,2,3,6,7,1]=>[4,3,6,5,2,1,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[4,5,2,3,7,1,6]=>[4,3,6,5,1,7,2]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[4,5,2,3,7,6,1]=>[4,3,6,5,1,2,7]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[4,5,2,6,1,3,7]=>[4,3,6,2,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[4,5,2,6,1,7,3]=>[4,3,6,2,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[4,5,2,6,3,1,7]=>[4,3,6,2,5,7,1]=>[[1,3,6],[2,5],[4],[7]]=>[2,2,3]
[4,5,2,6,3,7,1]=>[4,3,6,2,5,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[2,2,2,1]
[4,5,2,6,7,1,3]=>[4,3,6,2,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[4,5,2,6,7,3,1]=>[4,3,6,2,1,5,7]=>[[1,3,7],[2,6],[4],[5]]=>[2,3,2]
[4,5,2,7,1,3,6]=>[4,3,6,1,7,5,2]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[4,5,2,7,1,6,3]=>[4,3,6,1,7,2,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[4,5,2,7,3,1,6]=>[4,3,6,1,5,7,2]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,5,2,7,3,6,1]=>[4,3,6,1,5,2,7]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,5,2,7,6,1,3]=>[4,3,6,1,2,7,5]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[4,5,2,7,6,3,1]=>[4,3,6,1,2,5,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[4,5,3,1,6,2,7]=>[4,3,5,7,2,6,1]=>[[1,3,4],[2,6],[5],[7]]=>[2,3,2]
[4,5,3,1,6,7,2]=>[4,3,5,7,2,1,6]=>[[1,3,4],[2,7],[5],[6]]=>[2,4,1]
[4,5,3,1,7,2,6]=>[4,3,5,7,1,6,2]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[4,5,3,1,7,6,2]=>[4,3,5,7,1,2,6]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[4,5,3,2,1,6,7]=>[4,3,5,6,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>[2,5]
[4,5,3,2,1,7,6]=>[4,3,5,6,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[4,5,3,2,6,1,7]=>[4,3,5,6,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>[2,3,2]
[4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[2,4,1]
[4,5,3,2,7,1,6]=>[4,3,5,6,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[4,5,3,2,7,6,1]=>[4,3,5,6,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[4,5,3,6,1,2,7]=>[4,3,5,2,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>[2,2,3]
[4,5,3,6,1,7,2]=>[4,3,5,2,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>[2,2,2,1]
[4,5,3,6,2,1,7]=>[4,3,5,2,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>[2,2,3]
[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[2,2,2,1]
[4,5,3,6,7,1,2]=>[4,3,5,2,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[2,3,2]
[4,5,3,6,7,2,1]=>[4,3,5,2,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[2,3,2]
[4,5,3,7,1,2,6]=>[4,3,5,1,7,6,2]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[4,5,3,7,1,6,2]=>[4,3,5,1,7,2,6]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[4,5,3,7,2,1,6]=>[4,3,5,1,6,7,2]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,5,3,7,2,6,1]=>[4,3,5,1,6,2,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,5,3,7,6,1,2]=>[4,3,5,1,2,7,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[4,5,3,7,6,2,1]=>[4,3,5,1,2,6,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[4,5,6,1,2,7,3]=>[4,3,2,7,6,1,5]=>[[1,4],[2,5],[3,7],[6]]=>[3,3,1]
[4,5,6,1,3,2,7]=>[4,3,2,7,5,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[4,5,6,1,3,7,2]=>[4,3,2,7,5,1,6]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[4,5,6,1,7,2,3]=>[4,3,2,7,1,6,5]=>[[1,4],[2,6],[3,7],[5]]=>[3,2,2]
[4,5,6,1,7,3,2]=>[4,3,2,7,1,5,6]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[4,5,6,2,1,3,7]=>[4,3,2,6,7,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[4,5,6,2,1,7,3]=>[4,3,2,6,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[4,5,6,2,3,1,7]=>[4,3,2,6,5,7,1]=>[[1,4,6],[2,5],[3],[7]]=>[3,2,2]
[4,5,6,2,3,7,1]=>[4,3,2,6,5,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[3,3,1]
[4,5,6,2,7,1,3]=>[4,3,2,6,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[4,5,6,2,7,3,1]=>[4,3,2,6,1,5,7]=>[[1,4,7],[2,6],[3],[5]]=>[3,2,2]
[4,5,6,3,1,2,7]=>[4,3,2,5,7,6,1]=>[[1,4,5],[2,6],[3],[7]]=>[3,4]
[4,5,6,3,1,7,2]=>[4,3,2,5,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>[3,3,1]
[4,5,6,3,2,1,7]=>[4,3,2,5,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>[3,4]
[4,5,6,3,2,7,1]=>[4,3,2,5,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[3,3,1]
[4,5,6,3,7,1,2]=>[4,3,2,5,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[3,2,2]
[4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[3,2,2]
[4,5,6,7,1,2,3]=>[4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[4,3]
[4,5,6,7,1,3,2]=>[4,3,2,1,7,5,6]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,5,6,7,2,1,3]=>[4,3,2,1,6,7,5]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,5,6,7,2,3,1]=>[4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[4,2,1]
[4,5,6,7,3,1,2]=>[4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[4,3]
[4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[4,3]
[4,5,7,1,2,3,6]=>[4,3,1,7,6,5,2]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[4,5,7,1,3,2,6]=>[4,3,1,7,5,6,2]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[4,5,7,1,3,6,2]=>[4,3,1,7,5,2,6]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[4,5,7,1,6,2,3]=>[4,3,1,7,2,6,5]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[4,5,7,1,6,3,2]=>[4,3,1,7,2,5,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[4,5,7,2,1,3,6]=>[4,3,1,6,7,5,2]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[4,5,7,2,1,6,3]=>[4,3,1,6,7,2,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[4,5,7,2,3,1,6]=>[4,3,1,6,5,7,2]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[4,5,7,2,3,6,1]=>[4,3,1,6,5,2,7]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[4,5,7,2,6,1,3]=>[4,3,1,6,2,7,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[4,5,7,2,6,3,1]=>[4,3,1,6,2,5,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[4,5,7,3,1,2,6]=>[4,3,1,5,7,6,2]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[4,5,7,3,1,6,2]=>[4,3,1,5,7,2,6]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[4,5,7,3,2,1,6]=>[4,3,1,5,6,7,2]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[4,5,7,3,2,6,1]=>[4,3,1,5,6,2,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[4,5,7,3,6,1,2]=>[4,3,1,5,2,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[4,5,7,3,6,2,1]=>[4,3,1,5,2,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[4,5,7,6,1,2,3]=>[4,3,1,2,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[4,5,7,6,1,3,2]=>[4,3,1,2,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[4,5,7,6,2,1,3]=>[4,3,1,2,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[4,5,7,6,2,3,1]=>[4,3,1,2,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[4,5,7,6,3,1,2]=>[4,3,1,2,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[4,5,7,6,3,2,1]=>[4,3,1,2,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[4,6,1,2,3,5,7]=>[4,2,7,6,5,3,1]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[4,6,1,2,3,7,5]=>[4,2,7,6,5,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[4,6,1,2,5,3,7]=>[4,2,7,6,3,5,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[4,6,1,2,5,7,3]=>[4,2,7,6,3,1,5]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[4,6,1,2,7,3,5]=>[4,2,7,6,1,5,3]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[4,6,1,2,7,5,3]=>[4,2,7,6,1,3,5]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[4,6,1,3,2,5,7]=>[4,2,7,5,6,3,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,6,1,3,2,7,5]=>[4,2,7,5,6,1,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[4,6,1,3,5,2,7]=>[4,2,7,5,3,6,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[4,6,1,3,5,7,2]=>[4,2,7,5,3,1,6]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[4,6,1,3,7,2,5]=>[4,2,7,5,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[4,6,1,3,7,5,2]=>[4,2,7,5,1,3,6]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[4,6,1,5,2,3,7]=>[4,2,7,3,6,5,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,6,1,5,2,7,3]=>[4,2,7,3,6,1,5]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[4,6,1,5,3,2,7]=>[4,2,7,3,5,6,1]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,6,1,5,3,7,2]=>[4,2,7,3,5,1,6]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,6,1,5,7,2,3]=>[4,2,7,3,1,6,5]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[4,6,1,5,7,3,2]=>[4,2,7,3,1,5,6]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[4,6,1,7,2,3,5]=>[4,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[4,6,1,7,2,5,3]=>[4,2,7,1,6,3,5]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,6,1,7,3,2,5]=>[4,2,7,1,5,6,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,6,1,7,3,5,2]=>[4,2,7,1,5,3,6]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,6,1,7,5,2,3]=>[4,2,7,1,3,6,5]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,6,1,7,5,3,2]=>[4,2,7,1,3,5,6]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,6,2,1,3,5,7]=>[4,2,6,7,5,3,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[4,6,2,1,3,7,5]=>[4,2,6,7,5,1,3]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[4,6,2,1,5,3,7]=>[4,2,6,7,3,5,1]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[4,6,2,1,5,7,3]=>[4,2,6,7,3,1,5]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[4,6,2,1,7,3,5]=>[4,2,6,7,1,5,3]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[4,6,2,1,7,5,3]=>[4,2,6,7,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[4,6,2,3,1,5,7]=>[4,2,6,5,7,3,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,6,2,3,1,7,5]=>[4,2,6,5,7,1,3]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[4,6,2,3,5,1,7]=>[4,2,6,5,3,7,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[4,6,2,3,5,7,1]=>[4,2,6,5,3,1,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[4,6,2,3,7,1,5]=>[4,2,6,5,1,7,3]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[4,6,2,3,7,5,1]=>[4,2,6,5,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[4,6,2,5,1,3,7]=>[4,2,6,3,7,5,1]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[4,6,2,5,1,7,3]=>[4,2,6,3,7,1,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[4,6,2,5,3,1,7]=>[4,2,6,3,5,7,1]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,6,2,5,3,7,1]=>[4,2,6,3,5,1,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,6,2,5,7,1,3]=>[4,2,6,3,1,7,5]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[4,6,2,5,7,3,1]=>[4,2,6,3,1,5,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[4,6,2,7,1,3,5]=>[4,2,6,1,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[4,6,2,7,1,5,3]=>[4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[4,6,2,7,3,1,5]=>[4,2,6,1,5,7,3]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[4,6,2,7,3,5,1]=>[4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[4,6,2,7,5,1,3]=>[4,2,6,1,3,7,5]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[4,6,2,7,5,3,1]=>[4,2,6,1,3,5,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,6,3,1,2,5,7]=>[4,2,5,7,6,3,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[4,6,3,1,2,7,5]=>[4,2,5,7,6,1,3]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[4,6,3,1,5,7,2]=>[4,2,5,7,3,1,6]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[4,6,3,1,7,5,2]=>[4,2,5,7,1,3,6]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[4,6,3,2,1,5,7]=>[4,2,5,6,7,3,1]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[4,6,3,2,1,7,5]=>[4,2,5,6,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[4,6,3,2,5,1,7]=>[4,2,5,6,3,7,1]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[4,6,3,2,5,7,1]=>[4,2,5,6,3,1,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[4,6,3,2,7,1,5]=>[4,2,5,6,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[4,6,3,2,7,5,1]=>[4,2,5,6,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[4,6,3,5,1,2,7]=>[4,2,5,3,7,6,1]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[4,6,3,5,1,7,2]=>[4,2,5,3,7,1,6]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[4,6,3,5,2,1,7]=>[4,2,5,3,6,7,1]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,6,3,5,2,7,1]=>[4,2,5,3,6,1,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,6,3,5,7,1,2]=>[4,2,5,3,1,7,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[4,6,3,5,7,2,1]=>[4,2,5,3,1,6,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[4,6,3,7,1,2,5]=>[4,2,5,1,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[4,6,3,7,1,5,2]=>[4,2,5,1,7,3,6]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[4,6,3,7,2,1,5]=>[4,2,5,1,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,6,3,7,2,5,1]=>[4,2,5,1,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,6,3,7,5,1,2]=>[4,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[4,6,3,7,5,2,1]=>[4,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[4,6,5,1,2,3,7]=>[4,2,3,7,6,5,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[4,6,5,1,2,7,3]=>[4,2,3,7,6,1,5]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[4,6,5,1,3,7,2]=>[4,2,3,7,5,1,6]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[4,6,5,1,7,2,3]=>[4,2,3,7,1,6,5]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[4,6,5,1,7,3,2]=>[4,2,3,7,1,5,6]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[4,6,5,2,1,3,7]=>[4,2,3,6,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[4,6,5,2,1,7,3]=>[4,2,3,6,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[4,6,5,2,3,1,7]=>[4,2,3,6,5,7,1]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[4,6,5,2,3,7,1]=>[4,2,3,6,5,1,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[4,6,5,2,7,1,3]=>[4,2,3,6,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[4,6,5,2,7,3,1]=>[4,2,3,6,1,5,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[4,6,5,3,1,2,7]=>[4,2,3,5,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[4,6,5,3,1,7,2]=>[4,2,3,5,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[4,6,5,3,2,1,7]=>[4,2,3,5,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[4,6,5,3,2,7,1]=>[4,2,3,5,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[4,6,5,3,7,1,2]=>[4,2,3,5,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[4,6,5,3,7,2,1]=>[4,2,3,5,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[4,6,5,7,1,2,3]=>[4,2,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[4,6,5,7,1,3,2]=>[4,2,3,1,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,6,5,7,2,1,3]=>[4,2,3,1,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,6,5,7,2,3,1]=>[4,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,6,5,7,3,1,2]=>[4,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,6,5,7,3,2,1]=>[4,2,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[4,6,7,1,2,3,5]=>[4,2,1,7,6,5,3]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[4,6,7,1,2,5,3]=>[4,2,1,7,6,3,5]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[4,6,7,1,3,2,5]=>[4,2,1,7,5,6,3]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[4,6,7,1,3,5,2]=>[4,2,1,7,5,3,6]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[4,6,7,1,5,3,2]=>[4,2,1,7,3,5,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[4,6,7,2,1,3,5]=>[4,2,1,6,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[4,6,7,2,1,5,3]=>[4,2,1,6,7,3,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[4,6,7,2,3,1,5]=>[4,2,1,6,5,7,3]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[4,6,7,2,3,5,1]=>[4,2,1,6,5,3,7]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[4,6,7,2,5,1,3]=>[4,2,1,6,3,7,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[4,6,7,2,5,3,1]=>[4,2,1,6,3,5,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[4,6,7,3,1,2,5]=>[4,2,1,5,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[4,6,7,3,1,5,2]=>[4,2,1,5,7,3,6]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[4,6,7,3,2,1,5]=>[4,2,1,5,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[4,6,7,3,2,5,1]=>[4,2,1,5,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[4,6,7,3,5,1,2]=>[4,2,1,5,3,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[4,6,7,3,5,2,1]=>[4,2,1,5,3,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[4,6,7,5,1,2,3]=>[4,2,1,3,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[4,6,7,5,1,3,2]=>[4,2,1,3,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[4,6,7,5,2,1,3]=>[4,2,1,3,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[4,6,7,5,2,3,1]=>[4,2,1,3,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[4,6,7,5,3,1,2]=>[4,2,1,3,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[4,6,7,5,3,2,1]=>[4,2,1,3,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[4,7,1,2,3,5,6]=>[4,1,7,6,5,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[4,7,1,2,5,3,6]=>[4,1,7,6,3,5,2]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[4,7,1,2,5,6,3]=>[4,1,7,6,3,2,5]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[4,7,1,2,6,3,5]=>[4,1,7,6,2,5,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[4,7,1,2,6,5,3]=>[4,1,7,6,2,3,5]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[4,7,1,3,2,5,6]=>[4,1,7,5,6,3,2]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[4,7,1,3,5,2,6]=>[4,1,7,5,3,6,2]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[4,7,1,3,5,6,2]=>[4,1,7,5,3,2,6]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[4,7,1,3,6,5,2]=>[4,1,7,5,2,3,6]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[4,7,1,5,2,3,6]=>[4,1,7,3,6,5,2]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,7,1,5,2,6,3]=>[4,1,7,3,6,2,5]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[4,7,1,5,3,2,6]=>[4,1,7,3,5,6,2]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,7,1,5,3,6,2]=>[4,1,7,3,5,2,6]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,7,1,5,6,2,3]=>[4,1,7,3,2,6,5]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[4,7,1,5,6,3,2]=>[4,1,7,3,2,5,6]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[4,7,1,6,2,3,5]=>[4,1,7,2,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,7,1,6,2,5,3]=>[4,1,7,2,6,3,5]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,7,1,6,3,5,2]=>[4,1,7,2,5,3,6]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,7,1,6,5,2,3]=>[4,1,7,2,3,6,5]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,7,1,6,5,3,2]=>[4,1,7,2,3,5,6]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[4,7,2,1,3,5,6]=>[4,1,6,7,5,3,2]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[4,7,2,1,5,3,6]=>[4,1,6,7,3,5,2]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[4,7,2,1,5,6,3]=>[4,1,6,7,3,2,5]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[4,7,2,1,6,3,5]=>[4,1,6,7,2,5,3]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[4,7,2,1,6,5,3]=>[4,1,6,7,2,3,5]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[4,7,2,3,1,5,6]=>[4,1,6,5,7,3,2]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[4,7,2,3,1,6,5]=>[4,1,6,5,7,2,3]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[4,7,2,3,5,1,6]=>[4,1,6,5,3,7,2]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[4,7,2,3,5,6,1]=>[4,1,6,5,3,2,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[4,7,2,3,6,1,5]=>[4,1,6,5,2,7,3]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[4,7,2,3,6,5,1]=>[4,1,6,5,2,3,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[4,7,2,5,1,3,6]=>[4,1,6,3,7,5,2]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[4,7,2,5,1,6,3]=>[4,1,6,3,7,2,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[4,7,2,5,3,1,6]=>[4,1,6,3,5,7,2]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,7,2,5,3,6,1]=>[4,1,6,3,5,2,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,7,2,5,6,1,3]=>[4,1,6,3,2,7,5]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[4,7,2,5,6,3,1]=>[4,1,6,3,2,5,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[4,7,2,6,1,3,5]=>[4,1,6,2,7,5,3]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[4,7,2,6,1,5,3]=>[4,1,6,2,7,3,5]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[4,7,2,6,3,1,5]=>[4,1,6,2,5,7,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,7,2,6,3,5,1]=>[4,1,6,2,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,7,2,6,5,1,3]=>[4,1,6,2,3,7,5]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[4,7,2,6,5,3,1]=>[4,1,6,2,3,5,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[4,7,3,1,2,5,6]=>[4,1,5,7,6,3,2]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[4,7,3,1,5,2,6]=>[4,1,5,7,3,6,2]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[4,7,3,1,6,2,5]=>[4,1,5,7,2,6,3]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[4,7,3,2,1,5,6]=>[4,1,5,6,7,3,2]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[4,7,3,2,5,1,6]=>[4,1,5,6,3,7,2]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[4,7,3,2,5,6,1]=>[4,1,5,6,3,2,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[4,7,3,2,6,5,1]=>[4,1,5,6,2,3,7]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[4,7,3,5,1,2,6]=>[4,1,5,3,7,6,2]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[4,7,3,5,1,6,2]=>[4,1,5,3,7,2,6]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[4,7,3,5,2,1,6]=>[4,1,5,3,6,7,2]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[4,7,3,5,2,6,1]=>[4,1,5,3,6,2,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[4,7,3,5,6,1,2]=>[4,1,5,3,2,7,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[4,7,3,5,6,2,1]=>[4,1,5,3,2,6,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[4,7,3,6,1,5,2]=>[4,1,5,2,7,3,6]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[4,7,3,6,2,5,1]=>[4,1,5,2,6,3,7]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[4,7,3,6,5,1,2]=>[4,1,5,2,3,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[4,7,3,6,5,2,1]=>[4,1,5,2,3,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[4,7,5,1,2,3,6]=>[4,1,3,7,6,5,2]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[4,7,5,1,2,6,3]=>[4,1,3,7,6,2,5]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[4,7,5,1,3,2,6]=>[4,1,3,7,5,6,2]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[4,7,5,1,6,2,3]=>[4,1,3,7,2,6,5]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[4,7,5,1,6,3,2]=>[4,1,3,7,2,5,6]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[4,7,5,2,1,3,6]=>[4,1,3,6,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[4,7,5,2,1,6,3]=>[4,1,3,6,7,2,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[4,7,5,2,3,1,6]=>[4,1,3,6,5,7,2]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[4,7,5,2,3,6,1]=>[4,1,3,6,5,2,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[4,7,5,2,6,1,3]=>[4,1,3,6,2,7,5]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[4,7,5,2,6,3,1]=>[4,1,3,6,2,5,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[4,7,5,3,1,2,6]=>[4,1,3,5,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[4,7,5,3,1,6,2]=>[4,1,3,5,7,2,6]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[4,7,5,3,2,1,6]=>[4,1,3,5,6,7,2]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[4,7,5,3,2,6,1]=>[4,1,3,5,6,2,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[4,7,5,3,6,1,2]=>[4,1,3,5,2,7,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[4,7,5,3,6,2,1]=>[4,1,3,5,2,6,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[4,7,5,6,1,2,3]=>[4,1,3,2,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[4,7,5,6,1,3,2]=>[4,1,3,2,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,7,5,6,2,1,3]=>[4,1,3,2,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,7,5,6,2,3,1]=>[4,1,3,2,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[4,7,5,6,3,1,2]=>[4,1,3,2,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[4,7,5,6,3,2,1]=>[4,1,3,2,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[4,7,6,1,2,3,5]=>[4,1,2,7,6,5,3]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[4,7,6,1,2,5,3]=>[4,1,2,7,6,3,5]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[4,7,6,1,3,5,2]=>[4,1,2,7,5,3,6]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[4,7,6,1,5,2,3]=>[4,1,2,7,3,6,5]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[4,7,6,2,1,5,3]=>[4,1,2,6,7,3,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[4,7,6,2,3,1,5]=>[4,1,2,6,5,7,3]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[4,7,6,2,3,5,1]=>[4,1,2,6,5,3,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[4,7,6,2,5,1,3]=>[4,1,2,6,3,7,5]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[4,7,6,2,5,3,1]=>[4,1,2,6,3,5,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[4,7,6,3,1,2,5]=>[4,1,2,5,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[4,7,6,3,1,5,2]=>[4,1,2,5,7,3,6]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[4,7,6,3,2,1,5]=>[4,1,2,5,6,7,3]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[4,7,6,3,2,5,1]=>[4,1,2,5,6,3,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[4,7,6,3,5,1,2]=>[4,1,2,5,3,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[4,7,6,3,5,2,1]=>[4,1,2,5,3,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[4,7,6,5,1,2,3]=>[4,1,2,3,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[4,7,6,5,1,3,2]=>[4,1,2,3,7,5,6]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[4,7,6,5,2,1,3]=>[4,1,2,3,6,7,5]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[4,7,6,5,2,3,1]=>[4,1,2,3,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[4,7,6,5,3,1,2]=>[4,1,2,3,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[4,7,6,5,3,2,1]=>[4,1,2,3,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[2,5]
[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>[7]
[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[5,1,2,3,6,4,7]=>[3,7,6,5,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[5,1,2,3,6,7,4]=>[3,7,6,5,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[5,1,2,3,7,4,6]=>[3,7,6,5,1,4,2]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[5,1,2,3,7,6,4]=>[3,7,6,5,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,1,2,4,3,6,7]=>[3,7,6,4,5,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[5,1,2,4,6,3,7]=>[3,7,6,4,2,5,1]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,1,2,4,7,6,3]=>[3,7,6,4,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,1,2,6,3,4,7]=>[3,7,6,2,5,4,1]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[5,1,2,6,3,7,4]=>[3,7,6,2,5,1,4]=>[[1,2],[3,5],[4,7],[6]]=>[4,2,1]
[5,1,2,6,4,3,7]=>[3,7,6,2,4,5,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[5,1,2,6,4,7,3]=>[3,7,6,2,4,1,5]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[5,1,2,6,7,3,4]=>[3,7,6,2,1,5,4]=>[[1,2],[3,6],[4,7],[5]]=>[5,2]
[5,1,2,6,7,4,3]=>[3,7,6,2,1,4,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,1,2,7,3,4,6]=>[3,7,6,1,5,4,2]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[5,1,2,7,3,6,4]=>[3,7,6,1,5,2,4]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[5,1,2,7,4,6,3]=>[3,7,6,1,4,2,5]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[5,1,2,7,6,3,4]=>[3,7,6,1,2,5,4]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[5,1,2,7,6,4,3]=>[3,7,6,1,2,4,5]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[5,1,3,2,4,6,7]=>[3,7,5,6,4,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[5,1,3,2,6,4,7]=>[3,7,5,6,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,1,3,2,6,7,4]=>[3,7,5,6,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[5,1,3,2,7,4,6]=>[3,7,5,6,1,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,1,3,2,7,6,4]=>[3,7,5,6,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,1,3,4,2,6,7]=>[3,7,5,4,6,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[5,1,3,4,2,7,6]=>[3,7,5,4,6,1,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[5,1,3,4,6,2,7]=>[3,7,5,4,2,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[5,1,3,4,6,7,2]=>[3,7,5,4,2,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[5,1,3,4,7,2,6]=>[3,7,5,4,1,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,1,3,4,7,6,2]=>[3,7,5,4,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,1,3,6,2,4,7]=>[3,7,5,2,6,4,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[5,1,3,6,2,7,4]=>[3,7,5,2,6,1,4]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[5,1,3,6,4,2,7]=>[3,7,5,2,4,6,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[5,1,3,6,4,7,2]=>[3,7,5,2,4,1,6]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[5,1,3,6,7,2,4]=>[3,7,5,2,1,6,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,1,3,6,7,4,2]=>[3,7,5,2,1,4,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,1,3,7,2,4,6]=>[3,7,5,1,6,4,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[5,1,3,7,2,6,4]=>[3,7,5,1,6,2,4]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[5,1,3,7,4,2,6]=>[3,7,5,1,4,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[5,1,3,7,4,6,2]=>[3,7,5,1,4,2,6]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[5,1,3,7,6,2,4]=>[3,7,5,1,2,6,4]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[5,1,3,7,6,4,2]=>[3,7,5,1,2,4,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[5,1,4,2,3,6,7]=>[3,7,4,6,5,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[5,1,4,2,6,3,7]=>[3,7,4,6,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,1,4,2,6,7,3]=>[3,7,4,6,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[5,1,4,2,7,3,6]=>[3,7,4,6,1,5,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,1,4,2,7,6,3]=>[3,7,4,6,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,1,4,3,2,6,7]=>[3,7,4,5,6,2,1]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[5,1,4,3,6,2,7]=>[3,7,4,5,2,6,1]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[5,1,4,3,6,7,2]=>[3,7,4,5,2,1,6]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,1,4,3,7,6,2]=>[3,7,4,5,1,2,6]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,1,4,6,2,3,7]=>[3,7,4,2,6,5,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[5,1,4,6,2,7,3]=>[3,7,4,2,6,1,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[5,1,4,6,3,2,7]=>[3,7,4,2,5,6,1]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[5,1,4,6,3,7,2]=>[3,7,4,2,5,1,6]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[5,1,4,6,7,2,3]=>[3,7,4,2,1,6,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,1,4,6,7,3,2]=>[3,7,4,2,1,5,6]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,1,4,7,2,3,6]=>[3,7,4,1,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[5,1,4,7,2,6,3]=>[3,7,4,1,6,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[5,1,4,7,3,6,2]=>[3,7,4,1,5,2,6]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[5,1,4,7,6,2,3]=>[3,7,4,1,2,6,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[5,1,4,7,6,3,2]=>[3,7,4,1,2,5,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[5,1,6,2,3,4,7]=>[3,7,2,6,5,4,1]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[5,1,6,2,3,7,4]=>[3,7,2,6,5,1,4]=>[[1,2],[3,4],[5,7],[6]]=>[3,3,1]
[5,1,6,2,4,3,7]=>[3,7,2,6,4,5,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,1,6,2,4,7,3]=>[3,7,2,6,4,1,5]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[5,1,6,2,7,3,4]=>[3,7,2,6,1,5,4]=>[[1,2],[3,4],[5,6],[7]]=>[3,2,2]
[5,1,6,2,7,4,3]=>[3,7,2,6,1,4,5]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[5,1,6,3,2,4,7]=>[3,7,2,5,6,4,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[5,1,6,3,2,7,4]=>[3,7,2,5,6,1,4]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[5,1,6,3,4,2,7]=>[3,7,2,5,4,6,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,1,6,3,4,7,2]=>[3,7,2,5,4,1,6]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[5,1,6,3,7,2,4]=>[3,7,2,5,1,6,4]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[5,1,6,3,7,4,2]=>[3,7,2,5,1,4,6]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[5,1,6,4,2,3,7]=>[3,7,2,4,6,5,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[5,1,6,4,3,2,7]=>[3,7,2,4,5,6,1]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[5,1,6,4,3,7,2]=>[3,7,2,4,5,1,6]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[5,1,6,4,7,2,3]=>[3,7,2,4,1,6,5]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[5,1,6,4,7,3,2]=>[3,7,2,4,1,5,6]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,1,6,7,2,3,4]=>[3,7,2,1,6,5,4]=>[[1,2],[3,5],[4,6],[7]]=>[4,3]
[5,1,6,7,2,4,3]=>[3,7,2,1,6,4,5]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[5,1,6,7,3,2,4]=>[3,7,2,1,5,6,4]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[5,1,6,7,3,4,2]=>[3,7,2,1,5,4,6]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[5,1,6,7,4,2,3]=>[3,7,2,1,4,6,5]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[5,1,6,7,4,3,2]=>[3,7,2,1,4,5,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[5,1,7,2,3,4,6]=>[3,7,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[5,1,7,2,3,6,4]=>[3,7,1,6,5,2,4]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,1,7,2,4,6,3]=>[3,7,1,6,4,2,5]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[5,1,7,2,6,3,4]=>[3,7,1,6,2,5,4]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,1,7,2,6,4,3]=>[3,7,1,6,2,4,5]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,1,7,3,2,4,6]=>[3,7,1,5,6,4,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[5,1,7,3,2,6,4]=>[3,7,1,5,6,2,4]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[5,1,7,3,4,2,6]=>[3,7,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,1,7,3,4,6,2]=>[3,7,1,5,4,2,6]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[5,1,7,3,6,2,4]=>[3,7,1,5,2,6,4]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,1,7,3,6,4,2]=>[3,7,1,5,2,4,6]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,1,7,4,2,3,6]=>[3,7,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[5,1,7,4,2,6,3]=>[3,7,1,4,6,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[5,1,7,4,3,6,2]=>[3,7,1,4,5,2,6]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[5,1,7,4,6,2,3]=>[3,7,1,4,2,6,5]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,1,7,4,6,3,2]=>[3,7,1,4,2,5,6]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,1,7,6,2,3,4]=>[3,7,1,2,6,5,4]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[5,1,7,6,2,4,3]=>[3,7,1,2,6,4,5]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[5,1,7,6,3,2,4]=>[3,7,1,2,5,6,4]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[5,1,7,6,3,4,2]=>[3,7,1,2,5,4,6]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[5,1,7,6,4,2,3]=>[3,7,1,2,4,6,5]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[5,1,7,6,4,3,2]=>[3,7,1,2,4,5,6]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[5,2,1,3,6,4,7]=>[3,6,7,5,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,2,1,3,6,7,4]=>[3,6,7,5,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[5,2,1,3,7,4,6]=>[3,6,7,5,1,4,2]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,2,1,3,7,6,4]=>[3,6,7,5,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,2,1,4,3,6,7]=>[3,6,7,4,5,2,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[5,2,1,4,6,3,7]=>[3,6,7,4,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,2,1,4,6,7,3]=>[3,6,7,4,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,2,1,6,3,4,7]=>[3,6,7,2,5,4,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[5,2,1,6,3,7,4]=>[3,6,7,2,5,1,4]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[5,2,1,6,4,3,7]=>[3,6,7,2,4,5,1]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[5,2,1,6,4,7,3]=>[3,6,7,2,4,1,5]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[5,2,1,6,7,3,4]=>[3,6,7,2,1,5,4]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[5,2,1,6,7,4,3]=>[3,6,7,2,1,4,5]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,2,1,7,3,4,6]=>[3,6,7,1,5,4,2]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[5,2,1,7,3,6,4]=>[3,6,7,1,5,2,4]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[5,2,1,7,4,6,3]=>[3,6,7,1,4,2,5]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[5,2,1,7,6,3,4]=>[3,6,7,1,2,5,4]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[5,2,1,7,6,4,3]=>[3,6,7,1,2,4,5]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[5,2,3,1,4,6,7]=>[3,6,5,7,4,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[5,2,3,1,4,7,6]=>[3,6,5,7,4,1,2]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[5,2,3,1,6,4,7]=>[3,6,5,7,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,2,3,1,6,7,4]=>[3,6,5,7,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[5,2,3,1,7,4,6]=>[3,6,5,7,1,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,2,3,1,7,6,4]=>[3,6,5,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[5,2,3,4,6,1,7]=>[3,6,5,4,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[5,2,3,4,6,7,1]=>[3,6,5,4,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[5,2,3,4,7,1,6]=>[3,6,5,4,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,2,3,4,7,6,1]=>[3,6,5,4,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[5,2,3,6,1,7,4]=>[3,6,5,2,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[5,2,3,6,4,1,7]=>[3,6,5,2,4,7,1]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[5,2,3,6,4,7,1]=>[3,6,5,2,4,1,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[5,2,3,6,7,1,4]=>[3,6,5,2,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,2,3,6,7,4,1]=>[3,6,5,2,1,4,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[5,2,3,7,1,4,6]=>[3,6,5,1,7,4,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[5,2,3,7,4,1,6]=>[3,6,5,1,4,7,2]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[5,2,3,7,4,6,1]=>[3,6,5,1,4,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[5,2,3,7,6,1,4]=>[3,6,5,1,2,7,4]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[5,2,3,7,6,4,1]=>[3,6,5,1,2,4,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[5,2,4,1,3,6,7]=>[3,6,4,7,5,2,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[5,2,4,1,6,3,7]=>[3,6,4,7,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,2,4,1,6,7,3]=>[3,6,4,7,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[5,2,4,1,7,6,3]=>[3,6,4,7,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[5,2,4,3,6,1,7]=>[3,6,4,5,2,7,1]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[5,2,4,3,6,7,1]=>[3,6,4,5,2,1,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[5,2,4,3,7,1,6]=>[3,6,4,5,1,7,2]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,2,4,3,7,6,1]=>[3,6,4,5,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,2,4,6,1,3,7]=>[3,6,4,2,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[5,2,4,6,1,7,3]=>[3,6,4,2,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[5,2,4,6,3,1,7]=>[3,6,4,2,5,7,1]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[5,2,4,6,3,7,1]=>[3,6,4,2,5,1,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[5,2,4,6,7,1,3]=>[3,6,4,2,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,2,4,6,7,3,1]=>[3,6,4,2,1,5,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[5,2,4,7,1,6,3]=>[3,6,4,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[5,2,4,7,3,1,6]=>[3,6,4,1,5,7,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[5,2,4,7,3,6,1]=>[3,6,4,1,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[5,2,4,7,6,1,3]=>[3,6,4,1,2,7,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[5,2,4,7,6,3,1]=>[3,6,4,1,2,5,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[5,2,6,1,3,4,7]=>[3,6,2,7,5,4,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[5,2,6,1,3,7,4]=>[3,6,2,7,5,1,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[5,2,6,1,4,3,7]=>[3,6,2,7,4,5,1]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[5,2,6,1,4,7,3]=>[3,6,2,7,4,1,5]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[5,2,6,1,7,3,4]=>[3,6,2,7,1,5,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[5,2,6,1,7,4,3]=>[3,6,2,7,1,4,5]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,2,6,3,1,4,7]=>[3,6,2,5,7,4,1]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[5,2,6,3,1,7,4]=>[3,6,2,5,7,1,4]=>[[1,2,5],[3,4],[6,7]]=>[3,3,1]
[5,2,6,3,4,1,7]=>[3,6,2,5,4,7,1]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,2,6,3,4,7,1]=>[3,6,2,5,4,1,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[5,2,6,3,7,1,4]=>[3,6,2,5,1,7,4]=>[[1,2,6],[3,4],[5,7]]=>[3,2,2]
[5,2,6,3,7,4,1]=>[3,6,2,5,1,4,7]=>[[1,2,7],[3,4],[5,6]]=>[3,2,2]
[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[5,2,6,4,1,7,3]=>[3,6,2,4,7,1,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[5,2,6,4,3,1,7]=>[3,6,2,4,5,7,1]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[5,2,6,4,3,7,1]=>[3,6,2,4,5,1,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[5,2,6,4,7,1,3]=>[3,6,2,4,1,7,5]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,2,6,4,7,3,1]=>[3,6,2,4,1,5,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[5,2,6,7,1,4,3]=>[3,6,2,1,7,4,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[5,2,6,7,3,1,4]=>[3,6,2,1,5,7,4]=>[[1,2,6],[3,5],[4,7]]=>[4,3]
[5,2,6,7,3,4,1]=>[3,6,2,1,5,4,7]=>[[1,2,7],[3,5],[4,6]]=>[4,2,1]
[5,2,6,7,4,1,3]=>[3,6,2,1,4,7,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[5,2,6,7,4,3,1]=>[3,6,2,1,4,5,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[5,2,7,1,3,4,6]=>[3,6,1,7,5,4,2]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[5,2,7,1,3,6,4]=>[3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[5,2,7,1,4,6,3]=>[3,6,1,7,4,2,5]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[5,2,7,1,6,3,4]=>[3,6,1,7,2,5,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[5,2,7,1,6,4,3]=>[3,6,1,7,2,4,5]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[5,2,7,3,1,4,6]=>[3,6,1,5,7,4,2]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[5,2,7,3,1,6,4]=>[3,6,1,5,7,2,4]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[5,2,7,3,4,1,6]=>[3,6,1,5,4,7,2]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[5,2,7,3,4,6,1]=>[3,6,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[5,2,7,3,6,1,4]=>[3,6,1,5,2,7,4]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,2,7,3,6,4,1]=>[3,6,1,5,2,4,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,2,7,4,1,3,6]=>[3,6,1,4,7,5,2]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[5,2,7,4,3,1,6]=>[3,6,1,4,5,7,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[5,2,7,4,3,6,1]=>[3,6,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[5,2,7,4,6,1,3]=>[3,6,1,4,2,7,5]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,2,7,4,6,3,1]=>[3,6,1,4,2,5,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,2,7,6,1,3,4]=>[3,6,1,2,7,5,4]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[5,2,7,6,3,1,4]=>[3,6,1,2,5,7,4]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[5,2,7,6,3,4,1]=>[3,6,1,2,5,4,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[5,2,7,6,4,1,3]=>[3,6,1,2,4,7,5]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[5,2,7,6,4,3,1]=>[3,6,1,2,4,5,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[5,3,1,2,6,4,7]=>[3,5,7,6,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,3,1,2,6,7,4]=>[3,5,7,6,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[5,3,1,2,7,4,6]=>[3,5,7,6,1,4,2]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,3,1,2,7,6,4]=>[3,5,7,6,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,3,1,4,2,6,7]=>[3,5,7,4,6,2,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[5,3,1,4,2,7,6]=>[3,5,7,4,6,1,2]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[5,3,1,4,6,2,7]=>[3,5,7,4,2,6,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,3,1,4,6,7,2]=>[3,5,7,4,2,1,6]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[5,3,1,4,7,2,6]=>[3,5,7,4,1,6,2]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[5,3,1,4,7,6,2]=>[3,5,7,4,1,2,6]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,3,1,6,2,4,7]=>[3,5,7,2,6,4,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[5,3,1,6,2,7,4]=>[3,5,7,2,6,1,4]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[5,3,1,6,4,2,7]=>[3,5,7,2,4,6,1]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[5,3,1,6,4,7,2]=>[3,5,7,2,4,1,6]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[5,3,1,6,7,2,4]=>[3,5,7,2,1,6,4]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[5,3,1,6,7,4,2]=>[3,5,7,2,1,4,6]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,3,1,7,2,4,6]=>[3,5,7,1,6,4,2]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[5,3,1,7,2,6,4]=>[3,5,7,1,6,2,4]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[5,3,1,7,4,2,6]=>[3,5,7,1,4,6,2]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[5,3,1,7,4,6,2]=>[3,5,7,1,4,2,6]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[5,3,1,7,6,2,4]=>[3,5,7,1,2,6,4]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[5,3,1,7,6,4,2]=>[3,5,7,1,2,4,6]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[5,3,2,1,6,4,7]=>[3,5,6,7,2,4,1]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,3,2,1,6,7,4]=>[3,5,6,7,2,1,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[5,3,2,1,7,4,6]=>[3,5,6,7,1,4,2]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,3,2,1,7,6,4]=>[3,5,6,7,1,2,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[5,3,2,4,6,1,7]=>[3,5,6,4,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[5,3,2,4,6,7,1]=>[3,5,6,4,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[5,3,2,4,7,1,6]=>[3,5,6,4,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,3,2,4,7,6,1]=>[3,5,6,4,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[5,3,2,6,1,7,4]=>[3,5,6,2,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[5,3,2,6,4,1,7]=>[3,5,6,2,4,7,1]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[5,3,2,6,4,7,1]=>[3,5,6,2,4,1,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[5,3,2,6,7,1,4]=>[3,5,6,2,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,3,2,6,7,4,1]=>[3,5,6,2,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,3,2,7,1,4,6]=>[3,5,6,1,7,4,2]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[5,3,2,7,4,1,6]=>[3,5,6,1,4,7,2]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[5,3,2,7,4,6,1]=>[3,5,6,1,4,2,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[5,3,2,7,6,1,4]=>[3,5,6,1,2,7,4]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[5,3,2,7,6,4,1]=>[3,5,6,1,2,4,7]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[5,3,4,1,2,6,7]=>[3,5,4,7,6,2,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[5,3,4,1,2,7,6]=>[3,5,4,7,6,1,2]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[5,3,4,1,6,2,7]=>[3,5,4,7,2,6,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[5,3,4,1,6,7,2]=>[3,5,4,7,2,1,6]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[5,3,4,1,7,2,6]=>[3,5,4,7,1,6,2]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[5,3,4,1,7,6,2]=>[3,5,4,7,1,2,6]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,3,4,2,1,6,7]=>[3,5,4,6,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[5,3,4,2,1,7,6]=>[3,5,4,6,7,1,2]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[5,3,4,2,6,1,7]=>[3,5,4,6,2,7,1]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[5,3,4,2,6,7,1]=>[3,5,4,6,2,1,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[5,3,4,2,7,1,6]=>[3,5,4,6,1,7,2]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,3,4,2,7,6,1]=>[3,5,4,6,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,3,4,6,1,2,7]=>[3,5,4,2,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[5,3,4,6,1,7,2]=>[3,5,4,2,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[5,3,4,6,2,1,7]=>[3,5,4,2,6,7,1]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[5,3,4,6,2,7,1]=>[3,5,4,2,6,1,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[5,3,4,6,7,1,2]=>[3,5,4,2,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[5,3,4,6,7,2,1]=>[3,5,4,2,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[5,3,4,7,1,2,6]=>[3,5,4,1,7,6,2]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[5,3,4,7,1,6,2]=>[3,5,4,1,7,2,6]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[5,3,4,7,2,1,6]=>[3,5,4,1,6,7,2]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[5,3,4,7,2,6,1]=>[3,5,4,1,6,2,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[5,3,4,7,6,1,2]=>[3,5,4,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[5,3,4,7,6,2,1]=>[3,5,4,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[5,3,6,1,2,4,7]=>[3,5,2,7,6,4,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[5,3,6,1,2,7,4]=>[3,5,2,7,6,1,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[5,3,6,1,4,2,7]=>[3,5,2,7,4,6,1]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[5,3,6,1,4,7,2]=>[3,5,2,7,4,1,6]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[5,3,6,1,7,2,4]=>[3,5,2,7,1,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[5,3,6,1,7,4,2]=>[3,5,2,7,1,4,6]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[5,3,6,2,1,4,7]=>[3,5,2,6,7,4,1]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[5,3,6,2,1,7,4]=>[3,5,2,6,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[5,3,6,2,4,1,7]=>[3,5,2,6,4,7,1]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[5,3,6,2,4,7,1]=>[3,5,2,6,4,1,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,3,6,2,7,4,1]=>[3,5,2,6,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,3,6,4,1,2,7]=>[3,5,2,4,7,6,1]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[5,3,6,4,1,7,2]=>[3,5,2,4,7,1,6]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[5,3,6,4,2,1,7]=>[3,5,2,4,6,7,1]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[5,3,6,4,2,7,1]=>[3,5,2,4,6,1,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[5,3,6,4,7,1,2]=>[3,5,2,4,1,7,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,3,6,4,7,2,1]=>[3,5,2,4,1,6,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,3,6,7,1,2,4]=>[3,5,2,1,7,6,4]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[5,3,6,7,1,4,2]=>[3,5,2,1,7,4,6]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[5,3,6,7,2,1,4]=>[3,5,2,1,6,7,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[5,3,6,7,2,4,1]=>[3,5,2,1,6,4,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[5,3,6,7,4,1,2]=>[3,5,2,1,4,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[5,3,6,7,4,2,1]=>[3,5,2,1,4,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[5,3,7,1,2,4,6]=>[3,5,1,7,6,4,2]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[5,3,7,1,2,6,4]=>[3,5,1,7,6,2,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[5,3,7,1,4,2,6]=>[3,5,1,7,4,6,2]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[5,3,7,1,4,6,2]=>[3,5,1,7,4,2,6]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[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]=>[3,5,1,7,2,4,6]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[5,3,7,2,1,4,6]=>[3,5,1,6,7,4,2]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[5,3,7,2,1,6,4]=>[3,5,1,6,7,2,4]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[5,3,7,2,4,1,6]=>[3,5,1,6,4,7,2]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[5,3,7,2,4,6,1]=>[3,5,1,6,4,2,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[5,3,7,2,6,1,4]=>[3,5,1,6,2,7,4]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[5,3,7,2,6,4,1]=>[3,5,1,6,2,4,7]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[5,3,7,4,1,2,6]=>[3,5,1,4,7,6,2]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[5,3,7,4,1,6,2]=>[3,5,1,4,7,2,6]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[5,3,7,4,2,1,6]=>[3,5,1,4,6,7,2]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[5,3,7,4,2,6,1]=>[3,5,1,4,6,2,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[5,3,7,4,6,1,2]=>[3,5,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[5,3,7,4,6,2,1]=>[3,5,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[5,3,7,6,1,2,4]=>[3,5,1,2,7,6,4]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[5,3,7,6,1,4,2]=>[3,5,1,2,7,4,6]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[5,3,7,6,2,1,4]=>[3,5,1,2,6,7,4]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[5,3,7,6,2,4,1]=>[3,5,1,2,6,4,7]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[5,3,7,6,4,1,2]=>[3,5,1,2,4,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[5,3,7,6,4,2,1]=>[3,5,1,2,4,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[5,4,1,2,6,3,7]=>[3,4,7,6,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,4,1,2,6,7,3]=>[3,4,7,6,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[5,4,1,2,7,3,6]=>[3,4,7,6,1,5,2]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[5,4,1,2,7,6,3]=>[3,4,7,6,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[5,4,1,3,2,6,7]=>[3,4,7,5,6,2,1]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[5,4,1,3,6,2,7]=>[3,4,7,5,2,6,1]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[5,4,1,3,6,7,2]=>[3,4,7,5,2,1,6]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,4,1,3,7,6,2]=>[3,4,7,5,1,2,6]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,4,1,6,2,3,7]=>[3,4,7,2,6,5,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[5,4,1,6,2,7,3]=>[3,4,7,2,6,1,5]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[5,4,1,6,3,2,7]=>[3,4,7,2,5,6,1]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[5,4,1,6,3,7,2]=>[3,4,7,2,5,1,6]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[5,4,1,6,7,2,3]=>[3,4,7,2,1,6,5]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[5,4,1,6,7,3,2]=>[3,4,7,2,1,5,6]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,4,1,7,2,3,6]=>[3,4,7,1,6,5,2]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[5,4,1,7,2,6,3]=>[3,4,7,1,6,2,5]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[5,4,1,7,3,6,2]=>[3,4,7,1,5,2,6]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[5,4,1,7,6,2,3]=>[3,4,7,1,2,6,5]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[5,4,1,7,6,3,2]=>[3,4,7,1,2,5,6]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[5,4,2,1,6,3,7]=>[3,4,6,7,2,5,1]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,4,2,1,6,7,3]=>[3,4,6,7,2,1,5]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[5,4,2,1,7,3,6]=>[3,4,6,7,1,5,2]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,4,2,1,7,6,3]=>[3,4,6,7,1,2,5]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[5,4,2,3,1,6,7]=>[3,4,6,5,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[5,4,2,3,1,7,6]=>[3,4,6,5,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[5,4,2,3,6,1,7]=>[3,4,6,5,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[5,4,2,3,6,7,1]=>[3,4,6,5,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[5,4,2,3,7,1,6]=>[3,4,6,5,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,4,2,3,7,6,1]=>[3,4,6,5,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,4,2,6,1,3,7]=>[3,4,6,2,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[5,4,2,6,1,7,3]=>[3,4,6,2,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[5,4,2,6,3,1,7]=>[3,4,6,2,5,7,1]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[5,4,2,6,3,7,1]=>[3,4,6,2,5,1,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[5,4,2,6,7,1,3]=>[3,4,6,2,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,4,2,6,7,3,1]=>[3,4,6,2,1,5,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[5,4,2,7,1,3,6]=>[3,4,6,1,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[5,4,2,7,1,6,3]=>[3,4,6,1,7,2,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[5,4,2,7,3,1,6]=>[3,4,6,1,5,7,2]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[5,4,2,7,3,6,1]=>[3,4,6,1,5,2,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[5,4,2,7,6,1,3]=>[3,4,6,1,2,7,5]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[5,4,2,7,6,3,1]=>[3,4,6,1,2,5,7]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[5,4,3,1,6,2,7]=>[3,4,5,7,2,6,1]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,4,3,1,6,7,2]=>[3,4,5,7,2,1,6]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[5,4,3,1,7,2,6]=>[3,4,5,7,1,6,2]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[5,4,3,1,7,6,2]=>[3,4,5,7,1,2,6]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[1,2,3,4,5],[6],[7]]=>[7]
[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[5,4,3,2,6,1,7]=>[3,4,5,6,2,7,1]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[5,4,3,2,6,7,1]=>[3,4,5,6,2,1,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[5,4,3,2,7,6,1]=>[3,4,5,6,1,2,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[5,4,3,6,1,2,7]=>[3,4,5,2,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[5,4,3,6,1,7,2]=>[3,4,5,2,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[5,4,3,6,2,1,7]=>[3,4,5,2,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[5,4,3,6,2,7,1]=>[3,4,5,2,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[5,4,3,6,7,1,2]=>[3,4,5,2,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[5,4,3,6,7,2,1]=>[3,4,5,2,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[5,4,3,7,1,6,2]=>[3,4,5,1,7,2,6]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[5,4,3,7,2,6,1]=>[3,4,5,1,6,2,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[5,4,3,7,6,1,2]=>[3,4,5,1,2,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[5,4,3,7,6,2,1]=>[3,4,5,1,2,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[5,4,6,1,2,3,7]=>[3,4,2,7,6,5,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[5,4,6,1,2,7,3]=>[3,4,2,7,6,1,5]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[5,4,6,1,3,2,7]=>[3,4,2,7,5,6,1]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[5,4,6,1,3,7,2]=>[3,4,2,7,5,1,6]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[5,4,6,1,7,2,3]=>[3,4,2,7,1,6,5]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[5,4,6,1,7,3,2]=>[3,4,2,7,1,5,6]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[5,4,6,2,1,7,3]=>[3,4,2,6,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[5,4,6,2,3,1,7]=>[3,4,2,6,5,7,1]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[5,4,6,2,3,7,1]=>[3,4,2,6,5,1,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[5,4,6,2,7,1,3]=>[3,4,2,6,1,7,5]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,4,6,2,7,3,1]=>[3,4,2,6,1,5,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[5,4,6,3,1,2,7]=>[3,4,2,5,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[5,4,6,3,1,7,2]=>[3,4,2,5,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[5,4,6,3,2,1,7]=>[3,4,2,5,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[5,4,6,3,2,7,1]=>[3,4,2,5,6,1,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[5,4,6,3,7,1,2]=>[3,4,2,5,1,7,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[5,4,6,3,7,2,1]=>[3,4,2,5,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[5,4,6,7,1,2,3]=>[3,4,2,1,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[5,4,6,7,1,3,2]=>[3,4,2,1,7,5,6]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[5,4,6,7,2,1,3]=>[3,4,2,1,6,7,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[5,4,6,7,2,3,1]=>[3,4,2,1,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[5,4,6,7,3,1,2]=>[3,4,2,1,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[5,4,6,7,3,2,1]=>[3,4,2,1,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[5,4,7,1,2,3,6]=>[3,4,1,7,6,5,2]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[5,4,7,1,2,6,3]=>[3,4,1,7,6,2,5]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[5,4,7,1,3,6,2]=>[3,4,1,7,5,2,6]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[5,4,7,1,6,2,3]=>[3,4,1,7,2,6,5]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[5,4,7,1,6,3,2]=>[3,4,1,7,2,5,6]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[5,4,7,2,1,3,6]=>[3,4,1,6,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[5,4,7,2,3,1,6]=>[3,4,1,6,5,7,2]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[5,4,7,2,3,6,1]=>[3,4,1,6,5,2,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[5,4,7,2,6,1,3]=>[3,4,1,6,2,7,5]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[5,4,7,2,6,3,1]=>[3,4,1,6,2,5,7]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[5,4,7,3,1,2,6]=>[3,4,1,5,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[5,4,7,3,1,6,2]=>[3,4,1,5,7,2,6]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[5,4,7,3,2,1,6]=>[3,4,1,5,6,7,2]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[5,4,7,3,2,6,1]=>[3,4,1,5,6,2,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[5,4,7,3,6,1,2]=>[3,4,1,5,2,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[5,4,7,3,6,2,1]=>[3,4,1,5,2,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[5,4,7,6,1,2,3]=>[3,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[5,4,7,6,1,3,2]=>[3,4,1,2,7,5,6]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[5,4,7,6,2,1,3]=>[3,4,1,2,6,7,5]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[5,4,7,6,2,3,1]=>[3,4,1,2,6,5,7]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[5,4,7,6,3,1,2]=>[3,4,1,2,5,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[5,4,7,6,3,2,1]=>[3,4,1,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[5,6,1,2,3,4,7]=>[3,2,7,6,5,4,1]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[5,6,1,2,3,7,4]=>[3,2,7,6,5,1,4]=>[[1,3],[2,4],[5,7],[6]]=>[2,4,1]
[5,6,1,2,4,3,7]=>[3,2,7,6,4,5,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,6,1,2,4,7,3]=>[3,2,7,6,4,1,5]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[5,6,1,2,7,3,4]=>[3,2,7,6,1,5,4]=>[[1,3],[2,4],[5,6],[7]]=>[2,3,2]
[5,6,1,2,7,4,3]=>[3,2,7,6,1,4,5]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[5,6,1,3,2,4,7]=>[3,2,7,5,6,4,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[5,6,1,3,2,7,4]=>[3,2,7,5,6,1,4]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[5,6,1,3,4,2,7]=>[3,2,7,5,4,6,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,6,1,3,4,7,2]=>[3,2,7,5,4,1,6]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[5,6,1,3,7,2,4]=>[3,2,7,5,1,6,4]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[5,6,1,3,7,4,2]=>[3,2,7,5,1,4,6]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[5,6,1,4,2,3,7]=>[3,2,7,4,6,5,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[5,6,1,4,2,7,3]=>[3,2,7,4,6,1,5]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[5,6,1,4,3,2,7]=>[3,2,7,4,5,6,1]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[5,6,1,4,3,7,2]=>[3,2,7,4,5,1,6]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[5,6,1,4,7,3,2]=>[3,2,7,4,1,5,6]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,6,1,7,2,3,4]=>[3,2,7,1,6,5,4]=>[[1,3],[2,5],[4,6],[7]]=>[2,2,3]
[5,6,1,7,2,4,3]=>[3,2,7,1,6,4,5]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[5,6,1,7,3,2,4]=>[3,2,7,1,5,6,4]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[5,6,1,7,3,4,2]=>[3,2,7,1,5,4,6]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[5,6,1,7,4,2,3]=>[3,2,7,1,4,6,5]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[5,6,1,7,4,3,2]=>[3,2,7,1,4,5,6]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[5,6,2,1,3,4,7]=>[3,2,6,7,5,4,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[5,6,2,1,3,7,4]=>[3,2,6,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[5,6,2,1,4,3,7]=>[3,2,6,7,4,5,1]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[5,6,2,1,4,7,3]=>[3,2,6,7,4,1,5]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[5,6,2,1,7,3,4]=>[3,2,6,7,1,5,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[5,6,2,1,7,4,3]=>[3,2,6,7,1,4,5]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[5,6,2,3,1,4,7]=>[3,2,6,5,7,4,1]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[5,6,2,3,1,7,4]=>[3,2,6,5,7,1,4]=>[[1,3,5],[2,4],[6,7]]=>[2,2,2,1]
[5,6,2,3,4,1,7]=>[3,2,6,5,4,7,1]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,6,2,3,4,7,1]=>[3,2,6,5,4,1,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[5,6,2,3,7,1,4]=>[3,2,6,5,1,7,4]=>[[1,3,6],[2,4],[5,7]]=>[2,3,2]
[5,6,2,3,7,4,1]=>[3,2,6,5,1,4,7]=>[[1,3,7],[2,4],[5,6]]=>[2,3,2]
[5,6,2,4,1,3,7]=>[3,2,6,4,7,5,1]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[5,6,2,4,1,7,3]=>[3,2,6,4,7,1,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[5,6,2,4,3,1,7]=>[3,2,6,4,5,7,1]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[5,6,2,4,3,7,1]=>[3,2,6,4,5,1,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[5,6,2,4,7,1,3]=>[3,2,6,4,1,7,5]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,6,2,4,7,3,1]=>[3,2,6,4,1,5,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,6,2,7,1,3,4]=>[3,2,6,1,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[5,6,2,7,1,4,3]=>[3,2,6,1,7,4,5]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[5,6,2,7,3,1,4]=>[3,2,6,1,5,7,4]=>[[1,3,6],[2,5],[4,7]]=>[2,2,3]
[5,6,2,7,3,4,1]=>[3,2,6,1,5,4,7]=>[[1,3,7],[2,5],[4,6]]=>[2,2,2,1]
[5,6,2,7,4,1,3]=>[3,2,6,1,4,7,5]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[5,6,2,7,4,3,1]=>[3,2,6,1,4,5,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[5,6,3,1,2,4,7]=>[3,2,5,7,6,4,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[5,6,3,1,2,7,4]=>[3,2,5,7,6,1,4]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[5,6,3,1,4,2,7]=>[3,2,5,7,4,6,1]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[5,6,3,1,4,7,2]=>[3,2,5,7,4,1,6]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[5,6,3,1,7,2,4]=>[3,2,5,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[5,6,3,1,7,4,2]=>[3,2,5,7,1,4,6]=>[[1,3,4],[2,6,7],[5]]=>[2,3,2]
[5,6,3,2,1,4,7]=>[3,2,5,6,7,4,1]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[5,6,3,2,1,7,4]=>[3,2,5,6,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[5,6,3,2,4,1,7]=>[3,2,5,6,4,7,1]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,6,3,2,4,7,1]=>[3,2,5,6,4,1,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[5,6,3,2,7,1,4]=>[3,2,5,6,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[5,6,3,2,7,4,1]=>[3,2,5,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[5,6,3,4,1,7,2]=>[3,2,5,4,7,1,6]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[5,6,3,4,2,1,7]=>[3,2,5,4,6,7,1]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[5,6,3,4,2,7,1]=>[3,2,5,4,6,1,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[5,6,3,4,7,1,2]=>[3,2,5,4,1,7,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,6,3,4,7,2,1]=>[3,2,5,4,1,6,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[5,6,3,7,1,4,2]=>[3,2,5,1,7,4,6]=>[[1,3,5],[2,6,7],[4]]=>[2,2,2,1]
[5,6,3,7,2,1,4]=>[3,2,5,1,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[5,6,3,7,2,4,1]=>[3,2,5,1,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[5,6,3,7,4,1,2]=>[3,2,5,1,4,7,6]=>[[1,3,6],[2,5,7],[4]]=>[2,2,3]
[5,6,3,7,4,2,1]=>[3,2,5,1,4,6,7]=>[[1,3,6,7],[2,5],[4]]=>[2,2,3]
[5,6,4,1,2,3,7]=>[3,2,4,7,6,5,1]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[5,6,4,1,2,7,3]=>[3,2,4,7,6,1,5]=>[[1,3,4],[2,5],[6,7]]=>[2,4,1]
[5,6,4,1,3,2,7]=>[3,2,4,7,5,6,1]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,6,4,1,3,7,2]=>[3,2,4,7,5,1,6]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[5,6,4,1,7,2,3]=>[3,2,4,7,1,6,5]=>[[1,3,4],[2,6],[5,7]]=>[2,3,2]
[5,6,4,1,7,3,2]=>[3,2,4,7,1,5,6]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,6,4,2,1,3,7]=>[3,2,4,6,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[5,6,4,2,1,7,3]=>[3,2,4,6,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[5,6,4,2,3,1,7]=>[3,2,4,6,5,7,1]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,6,4,2,3,7,1]=>[3,2,4,6,5,1,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[5,6,4,2,7,1,3]=>[3,2,4,6,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[5,6,4,2,7,3,1]=>[3,2,4,6,1,5,7]=>[[1,3,4,7],[2,6],[5]]=>[2,3,2]
[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[5,6,4,3,1,7,2]=>[3,2,4,5,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>[2,4,1]
[5,6,4,3,2,1,7]=>[3,2,4,5,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>[2,5]
[5,6,4,3,2,7,1]=>[3,2,4,5,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>[2,4,1]
[5,6,4,3,7,1,2]=>[3,2,4,5,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[2,3,2]
[5,6,4,3,7,2,1]=>[3,2,4,5,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[2,3,2]
[5,6,4,7,1,2,3]=>[3,2,4,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[2,2,3]
[5,6,4,7,1,3,2]=>[3,2,4,1,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[5,6,4,7,2,1,3]=>[3,2,4,1,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[5,6,4,7,2,3,1]=>[3,2,4,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[2,2,2,1]
[5,6,4,7,3,1,2]=>[3,2,4,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[2,2,3]
[5,6,4,7,3,2,1]=>[3,2,4,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>[2,2,3]
[5,6,7,1,2,3,4]=>[3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[3,4]
[5,6,7,1,2,4,3]=>[3,2,1,7,6,4,5]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[5,6,7,1,3,2,4]=>[3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[5,6,7,1,3,4,2]=>[3,2,1,7,5,4,6]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[5,6,7,1,4,2,3]=>[3,2,1,7,4,6,5]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[5,6,7,1,4,3,2]=>[3,2,1,7,4,5,6]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,6,7,2,1,3,4]=>[3,2,1,6,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[5,6,7,2,1,4,3]=>[3,2,1,6,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[5,6,7,2,3,1,4]=>[3,2,1,6,5,7,4]=>[[1,4,6],[2,5],[3,7]]=>[3,2,2]
[5,6,7,2,3,4,1]=>[3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>[3,3,1]
[5,6,7,2,4,1,3]=>[3,2,1,6,4,7,5]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[5,6,7,2,4,3,1]=>[3,2,1,6,4,5,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,6,7,3,1,2,4]=>[3,2,1,5,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[5,6,7,3,1,4,2]=>[3,2,1,5,7,4,6]=>[[1,4,5],[2,6,7],[3]]=>[3,3,1]
[5,6,7,3,2,1,4]=>[3,2,1,5,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[5,6,7,3,2,4,1]=>[3,2,1,5,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[5,6,7,3,4,1,2]=>[3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>[3,2,2]
[5,6,7,3,4,2,1]=>[3,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>[3,2,2]
[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[3,4]
[5,6,7,4,1,3,2]=>[3,2,1,4,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[5,6,7,4,2,1,3]=>[3,2,1,4,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[5,6,7,4,2,3,1]=>[3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[3,3,1]
[5,6,7,4,3,1,2]=>[3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[3,4]
[5,6,7,4,3,2,1]=>[3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[3,4]
[5,7,1,2,3,4,6]=>[3,1,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[5,7,1,2,3,6,4]=>[3,1,7,6,5,2,4]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,7,1,2,4,6,3]=>[3,1,7,6,4,2,5]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[5,7,1,2,6,3,4]=>[3,1,7,6,2,5,4]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,7,1,2,6,4,3]=>[3,1,7,6,2,4,5]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,7,1,3,2,4,6]=>[3,1,7,5,6,4,2]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[5,7,1,3,2,6,4]=>[3,1,7,5,6,2,4]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[5,7,1,3,4,2,6]=>[3,1,7,5,4,6,2]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,7,1,3,4,6,2]=>[3,1,7,5,4,2,6]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[5,7,1,3,6,2,4]=>[3,1,7,5,2,6,4]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,7,1,3,6,4,2]=>[3,1,7,5,2,4,6]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,7,1,4,2,3,6]=>[3,1,7,4,6,5,2]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[5,7,1,4,2,6,3]=>[3,1,7,4,6,2,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[5,7,1,4,3,6,2]=>[3,1,7,4,5,2,6]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[5,7,1,4,6,2,3]=>[3,1,7,4,2,6,5]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,7,1,4,6,3,2]=>[3,1,7,4,2,5,6]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,7,1,6,2,3,4]=>[3,1,7,2,6,5,4]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[5,7,1,6,2,4,3]=>[3,1,7,2,6,4,5]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[5,7,1,6,3,2,4]=>[3,1,7,2,5,6,4]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[5,7,1,6,3,4,2]=>[3,1,7,2,5,4,6]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[5,7,1,6,4,2,3]=>[3,1,7,2,4,6,5]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[5,7,1,6,4,3,2]=>[3,1,7,2,4,5,6]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[5,7,2,1,3,4,6]=>[3,1,6,7,5,4,2]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[5,7,2,1,3,6,4]=>[3,1,6,7,5,2,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[5,7,2,1,4,6,3]=>[3,1,6,7,4,2,5]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[5,7,2,1,6,3,4]=>[3,1,6,7,2,5,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[5,7,2,1,6,4,3]=>[3,1,6,7,2,4,5]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,7,2,3,1,4,6]=>[3,1,6,5,7,4,2]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[5,7,2,3,1,6,4]=>[3,1,6,5,7,2,4]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[5,7,2,3,4,1,6]=>[3,1,6,5,4,7,2]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[5,7,2,3,4,6,1]=>[3,1,6,5,4,2,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[5,7,2,3,6,1,4]=>[3,1,6,5,2,7,4]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,7,2,3,6,4,1]=>[3,1,6,5,2,4,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[5,7,2,4,1,6,3]=>[3,1,6,4,7,2,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[5,7,2,4,3,1,6]=>[3,1,6,4,5,7,2]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[5,7,2,4,3,6,1]=>[3,1,6,4,5,2,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,7,2,4,6,3,1]=>[3,1,6,4,2,5,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,7,2,6,1,3,4]=>[3,1,6,2,7,5,4]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[5,7,2,6,1,4,3]=>[3,1,6,2,7,4,5]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[5,7,2,6,3,1,4]=>[3,1,6,2,5,7,4]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[5,7,2,6,3,4,1]=>[3,1,6,2,5,4,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[5,7,2,6,4,1,3]=>[3,1,6,2,4,7,5]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[5,7,2,6,4,3,1]=>[3,1,6,2,4,5,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[5,7,3,1,2,4,6]=>[3,1,5,7,6,4,2]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[5,7,3,1,2,6,4]=>[3,1,5,7,6,2,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[5,7,3,1,4,2,6]=>[3,1,5,7,4,6,2]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[5,7,3,1,4,6,2]=>[3,1,5,7,4,2,6]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[5,7,3,1,6,2,4]=>[3,1,5,7,2,6,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[5,7,3,1,6,4,2]=>[3,1,5,7,2,4,6]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,7,3,2,1,4,6]=>[3,1,5,6,7,4,2]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[5,7,3,2,1,6,4]=>[3,1,5,6,7,2,4]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[5,7,3,2,4,1,6]=>[3,1,5,6,4,7,2]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,7,3,2,4,6,1]=>[3,1,5,6,4,2,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[5,7,3,2,6,1,4]=>[3,1,5,6,2,7,4]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[5,7,3,2,6,4,1]=>[3,1,5,6,2,4,7]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,7,3,4,1,2,6]=>[3,1,5,4,7,6,2]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[5,7,3,4,2,1,6]=>[3,1,5,4,6,7,2]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[5,7,3,4,2,6,1]=>[3,1,5,4,6,2,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[5,7,3,4,6,1,2]=>[3,1,5,4,2,7,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[5,7,3,4,6,2,1]=>[3,1,5,4,2,6,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[5,7,3,6,1,2,4]=>[3,1,5,2,7,6,4]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[5,7,3,6,2,1,4]=>[3,1,5,2,6,7,4]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[5,7,3,6,2,4,1]=>[3,1,5,2,6,4,7]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[5,7,3,6,4,1,2]=>[3,1,5,2,4,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[5,7,3,6,4,2,1]=>[3,1,5,2,4,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[5,7,4,1,2,3,6]=>[3,1,4,7,6,5,2]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[5,7,4,1,2,6,3]=>[3,1,4,7,6,2,5]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[5,7,4,1,3,2,6]=>[3,1,4,7,5,6,2]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,7,4,1,3,6,2]=>[3,1,4,7,5,2,6]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[5,7,4,1,6,2,3]=>[3,1,4,7,2,6,5]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[5,7,4,1,6,3,2]=>[3,1,4,7,2,5,6]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,7,4,2,1,3,6]=>[3,1,4,6,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[5,7,4,2,1,6,3]=>[3,1,4,6,7,2,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[5,7,4,2,3,1,6]=>[3,1,4,6,5,7,2]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,7,4,2,3,6,1]=>[3,1,4,6,5,2,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[5,7,4,2,6,1,3]=>[3,1,4,6,2,7,5]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[5,7,4,2,6,3,1]=>[3,1,4,6,2,5,7]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[5,7,4,3,1,2,6]=>[3,1,4,5,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[5,7,4,3,2,1,6]=>[3,1,4,5,6,7,2]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[5,7,4,3,2,6,1]=>[3,1,4,5,6,2,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[5,7,4,3,6,1,2]=>[3,1,4,5,2,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[5,7,4,3,6,2,1]=>[3,1,4,5,2,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[5,7,4,6,1,2,3]=>[3,1,4,2,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[5,7,4,6,1,3,2]=>[3,1,4,2,7,5,6]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[5,7,4,6,2,1,3]=>[3,1,4,2,6,7,5]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[5,7,4,6,2,3,1]=>[3,1,4,2,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[5,7,4,6,3,1,2]=>[3,1,4,2,5,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[5,7,4,6,3,2,1]=>[3,1,4,2,5,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[5,7,6,1,2,3,4]=>[3,1,2,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[5,7,6,1,2,4,3]=>[3,1,2,7,6,4,5]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[5,7,6,1,3,2,4]=>[3,1,2,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,7,6,1,3,4,2]=>[3,1,2,7,5,4,6]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[5,7,6,1,4,2,3]=>[3,1,2,7,4,6,5]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,7,6,1,4,3,2]=>[3,1,2,7,4,5,6]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[5,7,6,2,1,3,4]=>[3,1,2,6,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[5,7,6,2,1,4,3]=>[3,1,2,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[5,7,6,2,3,1,4]=>[3,1,2,6,5,7,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[5,7,6,2,3,4,1]=>[3,1,2,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[5,7,6,2,4,1,3]=>[3,1,2,6,4,7,5]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[5,7,6,2,4,3,1]=>[3,1,2,6,4,5,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[5,7,6,3,1,2,4]=>[3,1,2,5,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[5,7,6,3,1,4,2]=>[3,1,2,5,7,4,6]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[5,7,6,3,2,1,4]=>[3,1,2,5,6,7,4]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[5,7,6,3,2,4,1]=>[3,1,2,5,6,4,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[5,7,6,3,4,1,2]=>[3,1,2,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[5,7,6,3,4,2,1]=>[3,1,2,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[5,7,6,4,1,2,3]=>[3,1,2,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[5,7,6,4,2,3,1]=>[3,1,2,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[5,7,6,4,3,1,2]=>[3,1,2,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[5,7,6,4,3,2,1]=>[3,1,2,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[2,5]
[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7]]=>[7]
[6,1,2,3,4,7,5]=>[2,7,6,5,4,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>[6,1]
[6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[6,1,2,3,5,7,4]=>[2,7,6,5,3,1,4]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,1,2,3,7,4,5]=>[2,7,6,5,1,4,3]=>[[1,2],[3,6],[4],[5],[7]]=>[5,2]
[6,1,2,3,7,5,4]=>[2,7,6,5,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[6,1,2,4,3,5,7]=>[2,7,6,4,5,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[6,1,2,4,3,7,5]=>[2,7,6,4,5,1,3]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,1,2,4,5,3,7]=>[2,7,6,4,3,5,1]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[6,1,2,4,5,7,3]=>[2,7,6,4,3,1,5]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,1,2,4,7,3,5]=>[2,7,6,4,1,5,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[6,1,2,4,7,5,3]=>[2,7,6,4,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[6,1,2,5,3,4,7]=>[2,7,6,3,5,4,1]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[6,1,2,5,3,7,4]=>[2,7,6,3,5,1,4]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[6,1,2,5,4,7,3]=>[2,7,6,3,4,1,5]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[6,1,2,5,7,3,4]=>[2,7,6,3,1,5,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[6,1,2,5,7,4,3]=>[2,7,6,3,1,4,5]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[6,1,2,7,3,4,5]=>[2,7,6,1,5,4,3]=>[[1,2],[3,5],[4],[6],[7]]=>[4,3]
[6,1,2,7,3,5,4]=>[2,7,6,1,5,3,4]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,1,2,7,4,3,5]=>[2,7,6,1,4,5,3]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[6,1,2,7,4,5,3]=>[2,7,6,1,4,3,5]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,1,2,7,5,3,4]=>[2,7,6,1,3,5,4]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[6,1,2,7,5,4,3]=>[2,7,6,1,3,4,5]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[6,1,3,2,4,5,7]=>[2,7,5,6,4,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[6,1,3,2,4,7,5]=>[2,7,5,6,4,1,3]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[6,1,3,2,5,7,4]=>[2,7,5,6,3,1,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,3,2,7,4,5]=>[2,7,5,6,1,4,3]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[6,1,3,2,7,5,4]=>[2,7,5,6,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[6,1,3,4,2,5,7]=>[2,7,5,4,6,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[6,1,3,4,2,7,5]=>[2,7,5,4,6,1,3]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,1,3,4,5,2,7]=>[2,7,5,4,3,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,1,3,4,7,2,5]=>[2,7,5,4,1,6,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[6,1,3,4,7,5,2]=>[2,7,5,4,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[6,1,3,5,2,4,7]=>[2,7,5,3,6,4,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[6,1,3,5,2,7,4]=>[2,7,5,3,6,1,4]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,1,3,5,4,2,7]=>[2,7,5,3,4,6,1]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[6,1,3,5,4,7,2]=>[2,7,5,3,4,1,6]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[6,1,3,5,7,2,4]=>[2,7,5,3,1,6,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[6,1,3,5,7,4,2]=>[2,7,5,3,1,4,6]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[6,1,3,7,2,4,5]=>[2,7,5,1,6,4,3]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[6,1,3,7,2,5,4]=>[2,7,5,1,6,3,4]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[6,1,3,7,4,2,5]=>[2,7,5,1,4,6,3]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[6,1,3,7,4,5,2]=>[2,7,5,1,4,3,6]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,1,3,7,5,2,4]=>[2,7,5,1,3,6,4]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[6,1,3,7,5,4,2]=>[2,7,5,1,3,4,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[6,1,4,2,3,5,7]=>[2,7,4,6,5,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[6,1,4,2,3,7,5]=>[2,7,4,6,5,1,3]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,4,2,5,3,7]=>[2,7,4,6,3,5,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[6,1,4,2,5,7,3]=>[2,7,4,6,3,1,5]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,4,2,7,3,5]=>[2,7,4,6,1,5,3]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[6,1,4,2,7,5,3]=>[2,7,4,6,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[6,1,4,3,2,5,7]=>[2,7,4,5,6,3,1]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[6,1,4,3,2,7,5]=>[2,7,4,5,6,1,3]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,1,4,3,5,2,7]=>[2,7,4,5,3,6,1]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[6,1,4,3,5,7,2]=>[2,7,4,5,3,1,6]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,1,4,3,7,2,5]=>[2,7,4,5,1,6,3]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[6,1,4,3,7,5,2]=>[2,7,4,5,1,3,6]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[6,1,4,5,2,3,7]=>[2,7,4,3,6,5,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[6,1,4,5,2,7,3]=>[2,7,4,3,6,1,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,1,4,5,3,2,7]=>[2,7,4,3,5,6,1]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[6,1,4,5,3,7,2]=>[2,7,4,3,5,1,6]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[6,1,4,5,7,2,3]=>[2,7,4,3,1,6,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[6,1,4,5,7,3,2]=>[2,7,4,3,1,5,6]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[6,1,4,7,2,3,5]=>[2,7,4,1,6,5,3]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[6,1,4,7,2,5,3]=>[2,7,4,1,6,3,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[6,1,4,7,3,2,5]=>[2,7,4,1,5,6,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[6,1,4,7,3,5,2]=>[2,7,4,1,5,3,6]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,1,4,7,5,2,3]=>[2,7,4,1,3,6,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[6,1,4,7,5,3,2]=>[2,7,4,1,3,5,6]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[6,1,5,2,3,4,7]=>[2,7,3,6,5,4,1]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[6,1,5,2,3,7,4]=>[2,7,3,6,5,1,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,1,5,2,4,3,7]=>[2,7,3,6,4,5,1]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[6,1,5,2,4,7,3]=>[2,7,3,6,4,1,5]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,1,5,2,7,3,4]=>[2,7,3,6,1,5,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[6,1,5,2,7,4,3]=>[2,7,3,6,1,4,5]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[6,1,5,3,2,4,7]=>[2,7,3,5,6,4,1]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[6,1,5,3,2,7,4]=>[2,7,3,5,6,1,4]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,1,5,3,4,2,7]=>[2,7,3,5,4,6,1]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[6,1,5,3,4,7,2]=>[2,7,3,5,4,1,6]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,1,5,3,7,2,4]=>[2,7,3,5,1,6,4]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[6,1,5,3,7,4,2]=>[2,7,3,5,1,4,6]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[6,1,5,4,2,3,7]=>[2,7,3,4,6,5,1]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[6,1,5,4,2,7,3]=>[2,7,3,4,6,1,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[6,1,5,4,7,2,3]=>[2,7,3,4,1,6,5]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[6,1,5,4,7,3,2]=>[2,7,3,4,1,5,6]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[6,1,5,7,2,3,4]=>[2,7,3,1,6,5,4]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[6,1,5,7,2,4,3]=>[2,7,3,1,6,4,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,1,5,7,3,2,4]=>[2,7,3,1,5,6,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[6,1,5,7,3,4,2]=>[2,7,3,1,5,4,6]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,1,5,7,4,2,3]=>[2,7,3,1,4,6,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[6,1,5,7,4,3,2]=>[2,7,3,1,4,5,6]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[6,1,7,2,3,4,5]=>[2,7,1,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7]]=>[3,4]
[6,1,7,2,3,5,4]=>[2,7,1,6,5,3,4]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,1,7,2,4,3,5]=>[2,7,1,6,4,5,3]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[6,1,7,2,4,5,3]=>[2,7,1,6,4,3,5]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,1,7,2,5,3,4]=>[2,7,1,6,3,5,4]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[6,1,7,2,5,4,3]=>[2,7,1,6,3,4,5]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[6,1,7,3,2,4,5]=>[2,7,1,5,6,4,3]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[6,1,7,3,2,5,4]=>[2,7,1,5,6,3,4]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[6,1,7,3,4,2,5]=>[2,7,1,5,4,6,3]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[6,1,7,3,4,5,2]=>[2,7,1,5,4,3,6]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,1,7,3,5,2,4]=>[2,7,1,5,3,6,4]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[6,1,7,3,5,4,2]=>[2,7,1,5,3,4,6]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[6,1,7,4,2,3,5]=>[2,7,1,4,6,5,3]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[6,1,7,4,2,5,3]=>[2,7,1,4,6,3,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[6,1,7,4,3,2,5]=>[2,7,1,4,5,6,3]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[6,1,7,4,3,5,2]=>[2,7,1,4,5,3,6]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,1,7,4,5,2,3]=>[2,7,1,4,3,6,5]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[6,1,7,4,5,3,2]=>[2,7,1,4,3,5,6]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[6,1,7,5,2,3,4]=>[2,7,1,3,6,5,4]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[6,1,7,5,2,4,3]=>[2,7,1,3,6,4,5]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,1,7,5,3,2,4]=>[2,7,1,3,5,6,4]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[6,1,7,5,3,4,2]=>[2,7,1,3,5,4,6]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,1,7,5,4,2,3]=>[2,7,1,3,4,6,5]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[6,1,7,5,4,3,2]=>[2,7,1,3,4,5,6]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[6,2,1,3,4,7,5]=>[2,6,7,5,4,1,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,2,1,3,5,4,7]=>[2,6,7,5,3,4,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[6,2,1,3,5,7,4]=>[2,6,7,5,3,1,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,2,1,3,7,4,5]=>[2,6,7,5,1,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[6,2,1,3,7,5,4]=>[2,6,7,5,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[6,2,1,4,3,5,7]=>[2,6,7,4,5,3,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[6,2,1,4,3,7,5]=>[2,6,7,4,5,1,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[6,2,1,4,5,3,7]=>[2,6,7,4,3,5,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[6,2,1,4,5,7,3]=>[2,6,7,4,3,1,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,2,1,4,7,3,5]=>[2,6,7,4,1,5,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[6,2,1,4,7,5,3]=>[2,6,7,4,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[6,2,1,5,3,4,7]=>[2,6,7,3,5,4,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[6,2,1,5,3,7,4]=>[2,6,7,3,5,1,4]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[6,2,1,5,4,7,3]=>[2,6,7,3,4,1,5]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,2,1,5,7,3,4]=>[2,6,7,3,1,5,4]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[6,2,1,5,7,4,3]=>[2,6,7,3,1,4,5]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[6,2,1,7,3,4,5]=>[2,6,7,1,5,4,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[6,2,1,7,3,5,4]=>[2,6,7,1,5,3,4]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[6,2,1,7,4,3,5]=>[2,6,7,1,4,5,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[6,2,1,7,4,5,3]=>[2,6,7,1,4,3,5]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[6,2,1,7,5,3,4]=>[2,6,7,1,3,5,4]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[6,2,1,7,5,4,3]=>[2,6,7,1,3,4,5]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[6,2,3,1,4,5,7]=>[2,6,5,7,4,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[6,2,3,1,4,7,5]=>[2,6,5,7,4,1,3]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,2,3,1,5,4,7]=>[2,6,5,7,3,4,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[6,2,3,1,5,7,4]=>[2,6,5,7,3,1,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,2,3,1,7,4,5]=>[2,6,5,7,1,4,3]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[6,2,3,1,7,5,4]=>[2,6,5,7,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[6,2,3,4,1,5,7]=>[2,6,5,4,7,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[6,2,3,4,1,7,5]=>[2,6,5,4,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[6,2,3,4,7,5,1]=>[2,6,5,4,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>[5,2]
[6,2,3,5,1,4,7]=>[2,6,5,3,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[6,2,3,5,1,7,4]=>[2,6,5,3,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[6,2,3,5,4,7,1]=>[2,6,5,3,4,1,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[6,2,3,5,7,1,4]=>[2,6,5,3,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[6,2,3,5,7,4,1]=>[2,6,5,3,1,4,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[6,2,3,7,1,4,5]=>[2,6,5,1,7,4,3]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[6,2,3,7,1,5,4]=>[2,6,5,1,7,3,4]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[6,2,3,7,4,1,5]=>[2,6,5,1,4,7,3]=>[[1,2,6],[3,5],[4],[7]]=>[4,3]
[6,2,3,7,4,5,1]=>[2,6,5,1,4,3,7]=>[[1,2,7],[3,5],[4],[6]]=>[4,2,1]
[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[6,2,3,7,5,4,1]=>[2,6,5,1,3,4,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[6,2,4,1,3,5,7]=>[2,6,4,7,5,3,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[6,2,4,1,3,7,5]=>[2,6,4,7,5,1,3]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,2,4,1,5,3,7]=>[2,6,4,7,3,5,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[6,2,4,1,5,7,3]=>[2,6,4,7,3,1,5]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,2,4,1,7,3,5]=>[2,6,4,7,1,5,3]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[6,2,4,1,7,5,3]=>[2,6,4,7,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[6,2,4,3,1,5,7]=>[2,6,4,5,7,3,1]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[6,2,4,3,1,7,5]=>[2,6,4,5,7,1,3]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[6,2,4,3,5,7,1]=>[2,6,4,5,3,1,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[6,2,4,3,7,5,1]=>[2,6,4,5,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[6,2,4,5,1,3,7]=>[2,6,4,3,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[6,2,4,5,1,7,3]=>[2,6,4,3,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,2,4,5,3,1,7]=>[2,6,4,3,5,7,1]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[6,2,4,5,3,7,1]=>[2,6,4,3,5,1,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[6,2,4,5,7,1,3]=>[2,6,4,3,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[6,2,4,5,7,3,1]=>[2,6,4,3,1,5,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[6,2,4,7,1,3,5]=>[2,6,4,1,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[6,2,4,7,1,5,3]=>[2,6,4,1,7,3,5]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[6,2,4,7,3,1,5]=>[2,6,4,1,5,7,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[6,2,4,7,3,5,1]=>[2,6,4,1,5,3,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,2,4,7,5,1,3]=>[2,6,4,1,3,7,5]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[6,2,4,7,5,3,1]=>[2,6,4,1,3,5,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[6,2,5,1,3,4,7]=>[2,6,3,7,5,4,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[6,2,5,1,3,7,4]=>[2,6,3,7,5,1,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[6,2,5,1,4,7,3]=>[2,6,3,7,4,1,5]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,2,5,1,7,3,4]=>[2,6,3,7,1,5,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[6,2,5,1,7,4,3]=>[2,6,3,7,1,4,5]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[6,2,5,3,1,4,7]=>[2,6,3,5,7,4,1]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[6,2,5,3,1,7,4]=>[2,6,3,5,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,2,5,3,4,1,7]=>[2,6,3,5,4,7,1]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[6,2,5,3,4,7,1]=>[2,6,3,5,4,1,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[6,2,5,3,7,4,1]=>[2,6,3,5,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[6,2,5,4,1,3,7]=>[2,6,3,4,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[6,2,5,4,1,7,3]=>[2,6,3,4,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[6,2,5,4,3,7,1]=>[2,6,3,4,5,1,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[6,2,5,4,7,1,3]=>[2,6,3,4,1,7,5]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[6,2,5,4,7,3,1]=>[2,6,3,4,1,5,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[6,2,5,7,1,3,4]=>[2,6,3,1,7,5,4]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[6,2,5,7,1,4,3]=>[2,6,3,1,7,4,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[6,2,5,7,3,4,1]=>[2,6,3,1,5,4,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,2,5,7,4,1,3]=>[2,6,3,1,4,7,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[6,2,5,7,4,3,1]=>[2,6,3,1,4,5,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[6,2,7,1,3,4,5]=>[2,6,1,7,5,4,3]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[6,2,7,1,3,5,4]=>[2,6,1,7,5,3,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,2,7,1,4,3,5]=>[2,6,1,7,4,5,3]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[6,2,7,1,4,5,3]=>[2,6,1,7,4,3,5]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[6,2,7,1,5,4,3]=>[2,6,1,7,3,4,5]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[6,2,7,3,1,4,5]=>[2,6,1,5,7,4,3]=>[[1,2,5],[3,4],[6],[7]]=>[3,4]
[6,2,7,3,1,5,4]=>[2,6,1,5,7,3,4]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[6,2,7,3,4,1,5]=>[2,6,1,5,4,7,3]=>[[1,2,6],[3,4],[5],[7]]=>[3,2,2]
[6,2,7,3,4,5,1]=>[2,6,1,5,4,3,7]=>[[1,2,7],[3,4],[5],[6]]=>[3,3,1]
[6,2,7,3,5,1,4]=>[2,6,1,5,3,7,4]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[6,2,7,3,5,4,1]=>[2,6,1,5,3,4,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[6,2,7,4,1,3,5]=>[2,6,1,4,7,5,3]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[6,2,7,4,1,5,3]=>[2,6,1,4,7,3,5]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[6,2,7,4,3,1,5]=>[2,6,1,4,5,7,3]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[6,2,7,4,3,5,1]=>[2,6,1,4,5,3,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[6,2,7,4,5,3,1]=>[2,6,1,4,3,5,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[6,2,7,5,1,3,4]=>[2,6,1,3,7,5,4]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[6,2,7,5,1,4,3]=>[2,6,1,3,7,4,5]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[6,2,7,5,3,1,4]=>[2,6,1,3,5,7,4]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[6,2,7,5,3,4,1]=>[2,6,1,3,5,4,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[6,2,7,5,4,3,1]=>[2,6,1,3,4,5,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[6,3,1,2,4,7,5]=>[2,5,7,6,4,1,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[6,3,1,2,5,7,4]=>[2,5,7,6,3,1,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,3,1,2,7,4,5]=>[2,5,7,6,1,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[6,3,1,2,7,5,4]=>[2,5,7,6,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[6,3,1,4,2,5,7]=>[2,5,7,4,6,3,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[6,3,1,4,2,7,5]=>[2,5,7,4,6,1,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[6,3,1,4,5,2,7]=>[2,5,7,4,3,6,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[6,3,1,4,5,7,2]=>[2,5,7,4,3,1,6]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,3,1,4,7,2,5]=>[2,5,7,4,1,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[6,3,1,5,2,4,7]=>[2,5,7,3,6,4,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[6,3,1,5,2,7,4]=>[2,5,7,3,6,1,4]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[6,3,1,5,4,2,7]=>[2,5,7,3,4,6,1]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[6,3,1,5,4,7,2]=>[2,5,7,3,4,1,6]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,3,1,5,7,2,4]=>[2,5,7,3,1,6,4]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[6,3,1,5,7,4,2]=>[2,5,7,3,1,4,6]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[6,3,1,7,2,4,5]=>[2,5,7,1,6,4,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[6,3,1,7,2,5,4]=>[2,5,7,1,6,3,4]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[6,3,1,7,4,2,5]=>[2,5,7,1,4,6,3]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[6,3,1,7,4,5,2]=>[2,5,7,1,4,3,6]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[6,3,1,7,5,2,4]=>[2,5,7,1,3,6,4]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[6,3,1,7,5,4,2]=>[2,5,7,1,3,4,6]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[6,3,2,1,4,7,5]=>[2,5,6,7,4,1,3]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,3,2,1,5,4,7]=>[2,5,6,7,3,4,1]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[6,3,2,1,5,7,4]=>[2,5,6,7,3,1,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,3,2,1,7,4,5]=>[2,5,6,7,1,4,3]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[6,3,2,1,7,5,4]=>[2,5,6,7,1,3,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[6,3,2,4,1,5,7]=>[2,5,6,4,7,3,1]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[6,3,2,4,1,7,5]=>[2,5,6,4,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[6,3,2,4,5,7,1]=>[2,5,6,4,3,1,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[6,3,2,4,7,5,1]=>[2,5,6,4,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[6,3,2,5,1,7,4]=>[2,5,6,3,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[6,3,2,5,4,7,1]=>[2,5,6,3,4,1,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,3,2,5,7,1,4]=>[2,5,6,3,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[6,3,2,5,7,4,1]=>[2,5,6,3,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[6,3,2,7,1,4,5]=>[2,5,6,1,7,4,3]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[6,3,2,7,1,5,4]=>[2,5,6,1,7,3,4]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[6,3,2,7,4,1,5]=>[2,5,6,1,4,7,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[6,3,2,7,4,5,1]=>[2,5,6,1,4,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[6,3,2,7,5,4,1]=>[2,5,6,1,3,4,7]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[6,3,4,1,2,5,7]=>[2,5,4,7,6,3,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[6,3,4,1,2,7,5]=>[2,5,4,7,6,1,3]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,3,4,1,5,2,7]=>[2,5,4,7,3,6,1]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[6,3,4,1,5,7,2]=>[2,5,4,7,3,1,6]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[6,3,4,1,7,2,5]=>[2,5,4,7,1,6,3]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[6,3,4,1,7,5,2]=>[2,5,4,7,1,3,6]=>[[1,2,4],[3,6,7],[5]]=>[3,2,2]
[6,3,4,2,1,5,7]=>[2,5,4,6,7,3,1]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[6,3,4,2,1,7,5]=>[2,5,4,6,7,1,3]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,3,4,2,5,1,7]=>[2,5,4,6,3,7,1]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[6,3,4,2,5,7,1]=>[2,5,4,6,3,1,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[6,3,4,2,7,1,5]=>[2,5,4,6,1,7,3]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[6,3,4,2,7,5,1]=>[2,5,4,6,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[6,3,4,5,1,2,7]=>[2,5,4,3,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[6,3,4,5,1,7,2]=>[2,5,4,3,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[6,3,4,5,2,1,7]=>[2,5,4,3,6,7,1]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[6,3,4,5,2,7,1]=>[2,5,4,3,6,1,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[6,3,4,5,7,1,2]=>[2,5,4,3,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[6,3,4,5,7,2,1]=>[2,5,4,3,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[6,3,4,7,1,2,5]=>[2,5,4,1,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[6,3,4,7,1,5,2]=>[2,5,4,1,7,3,6]=>[[1,2,5],[3,6,7],[4]]=>[4,2,1]
[6,3,4,7,2,1,5]=>[2,5,4,1,6,7,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[6,3,4,7,2,5,1]=>[2,5,4,1,6,3,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,3,4,7,5,1,2]=>[2,5,4,1,3,7,6]=>[[1,2,6],[3,5,7],[4]]=>[4,3]
[6,3,4,7,5,2,1]=>[2,5,4,1,3,6,7]=>[[1,2,6,7],[3,5],[4]]=>[4,3]
[6,3,5,1,2,4,7]=>[2,5,3,7,6,4,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[6,3,5,1,2,7,4]=>[2,5,3,7,6,1,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,3,5,1,4,2,7]=>[2,5,3,7,4,6,1]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[6,3,5,1,4,7,2]=>[2,5,3,7,4,1,6]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,3,5,1,7,2,4]=>[2,5,3,7,1,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[6,3,5,1,7,4,2]=>[2,5,3,7,1,4,6]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[6,3,5,2,1,4,7]=>[2,5,3,6,7,4,1]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[6,3,5,2,1,7,4]=>[2,5,3,6,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,3,5,2,4,1,7]=>[2,5,3,6,4,7,1]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[6,3,5,2,4,7,1]=>[2,5,3,6,4,1,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,3,5,2,7,1,4]=>[2,5,3,6,1,7,4]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[6,3,5,2,7,4,1]=>[2,5,3,6,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[6,3,5,4,1,2,7]=>[2,5,3,4,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[6,3,5,4,1,7,2]=>[2,5,3,4,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,3,5,4,2,1,7]=>[2,5,3,4,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[6,3,5,4,2,7,1]=>[2,5,3,4,6,1,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[6,3,5,4,7,1,2]=>[2,5,3,4,1,7,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[6,3,5,4,7,2,1]=>[2,5,3,4,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[6,3,5,7,1,2,4]=>[2,5,3,1,7,6,4]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[6,3,5,7,1,4,2]=>[2,5,3,1,7,4,6]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,3,5,7,2,1,4]=>[2,5,3,1,6,7,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[6,3,5,7,2,4,1]=>[2,5,3,1,6,4,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,3,5,7,4,1,2]=>[2,5,3,1,4,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[6,3,5,7,4,2,1]=>[2,5,3,1,4,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[6,3,7,1,2,4,5]=>[2,5,1,7,6,4,3]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[6,3,7,1,2,5,4]=>[2,5,1,7,6,3,4]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,3,7,1,4,2,5]=>[2,5,1,7,4,6,3]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[6,3,7,1,4,5,2]=>[2,5,1,7,4,3,6]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,3,7,1,5,2,4]=>[2,5,1,7,3,6,4]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[6,3,7,1,5,4,2]=>[2,5,1,7,3,4,6]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[6,3,7,2,1,4,5]=>[2,5,1,6,7,4,3]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[6,3,7,2,1,5,4]=>[2,5,1,6,7,3,4]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[6,3,7,2,4,1,5]=>[2,5,1,6,4,7,3]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[6,3,7,2,4,5,1]=>[2,5,1,6,4,3,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,3,7,2,5,1,4]=>[2,5,1,6,3,7,4]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[6,3,7,2,5,4,1]=>[2,5,1,6,3,4,7]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[6,3,7,4,1,2,5]=>[2,5,1,4,7,6,3]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[[1,2,5],[3,4,7],[6]]=>[3,3,1]
[6,3,7,4,2,1,5]=>[2,5,1,4,6,7,3]=>[[1,2,5,6],[3,4],[7]]=>[3,4]
[6,3,7,4,2,5,1]=>[2,5,1,4,6,3,7]=>[[1,2,5,7],[3,4],[6]]=>[3,3,1]
[6,3,7,4,5,1,2]=>[2,5,1,4,3,7,6]=>[[1,2,6],[3,4,7],[5]]=>[3,2,2]
[6,3,7,4,5,2,1]=>[2,5,1,4,3,6,7]=>[[1,2,6,7],[3,4],[5]]=>[3,2,2]
[6,3,7,5,1,2,4]=>[2,5,1,3,7,6,4]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[6,3,7,5,1,4,2]=>[2,5,1,3,7,4,6]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[6,3,7,5,2,1,4]=>[2,5,1,3,6,7,4]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[6,3,7,5,2,4,1]=>[2,5,1,3,6,4,7]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[6,3,7,5,4,1,2]=>[2,5,1,3,4,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[6,3,7,5,4,2,1]=>[2,5,1,3,4,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[6,4,1,2,3,7,5]=>[2,4,7,6,5,1,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,4,1,2,5,3,7]=>[2,4,7,6,3,5,1]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[6,4,1,2,5,7,3]=>[2,4,7,6,3,1,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,4,1,2,7,3,5]=>[2,4,7,6,1,5,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[6,4,1,2,7,5,3]=>[2,4,7,6,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>[5,2]
[6,4,1,3,2,5,7]=>[2,4,7,5,6,3,1]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[6,4,1,3,2,7,5]=>[2,4,7,5,6,1,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,4,1,3,5,2,7]=>[2,4,7,5,3,6,1]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[6,4,1,3,5,7,2]=>[2,4,7,5,3,1,6]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,4,1,3,7,2,5]=>[2,4,7,5,1,6,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[6,4,1,3,7,5,2]=>[2,4,7,5,1,3,6]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[6,4,1,5,2,3,7]=>[2,4,7,3,6,5,1]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[6,4,1,5,2,7,3]=>[2,4,7,3,6,1,5]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[6,4,1,5,3,2,7]=>[2,4,7,3,5,6,1]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[6,4,1,5,3,7,2]=>[2,4,7,3,5,1,6]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,4,1,5,7,2,3]=>[2,4,7,3,1,6,5]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[6,4,1,5,7,3,2]=>[2,4,7,3,1,5,6]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[6,4,1,7,2,3,5]=>[2,4,7,1,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[6,4,1,7,2,5,3]=>[2,4,7,1,6,3,5]=>[[1,2,3],[4,5,7],[6]]=>[4,2,1]
[6,4,1,7,3,2,5]=>[2,4,7,1,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[6,4,1,7,3,5,2]=>[2,4,7,1,5,3,6]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,4,1,7,5,2,3]=>[2,4,7,1,3,6,5]=>[[1,2,3],[4,5,6],[7]]=>[4,3]
[6,4,1,7,5,3,2]=>[2,4,7,1,3,5,6]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[6,4,2,1,3,7,5]=>[2,4,6,7,5,1,3]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,4,2,1,5,3,7]=>[2,4,6,7,3,5,1]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[6,4,2,1,5,7,3]=>[2,4,6,7,3,1,5]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,4,2,1,7,3,5]=>[2,4,6,7,1,5,3]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[6,4,2,1,7,5,3]=>[2,4,6,7,1,3,5]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[6,4,2,3,1,5,7]=>[2,4,6,5,7,3,1]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[6,4,2,3,1,7,5]=>[2,4,6,5,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,4,2,3,5,1,7]=>[2,4,6,5,3,7,1]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,4,2,3,7,1,5]=>[2,4,6,5,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[6,4,2,3,7,5,1]=>[2,4,6,5,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[6,4,2,5,1,3,7]=>[2,4,6,3,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[6,4,2,5,1,7,3]=>[2,4,6,3,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,4,2,5,3,1,7]=>[2,4,6,3,5,7,1]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[6,4,2,5,3,7,1]=>[2,4,6,3,5,1,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,4,2,5,7,1,3]=>[2,4,6,3,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[6,4,2,5,7,3,1]=>[2,4,6,3,1,5,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[6,4,2,7,1,3,5]=>[2,4,6,1,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[6,4,2,7,1,5,3]=>[2,4,6,1,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[6,4,2,7,3,1,5]=>[2,4,6,1,5,7,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[6,4,2,7,3,5,1]=>[2,4,6,1,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,4,2,7,5,1,3]=>[2,4,6,1,3,7,5]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[6,4,2,7,5,3,1]=>[2,4,6,1,3,5,7]=>[[1,2,3,7],[4,5,6]]=>[4,3]
[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[6,4,3,1,2,7,5]=>[2,4,5,7,6,1,3]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,4,3,1,5,2,7]=>[2,4,5,7,3,6,1]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[6,4,3,1,5,7,2]=>[2,4,5,7,3,1,6]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,4,3,1,7,2,5]=>[2,4,5,7,1,6,3]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[6,4,3,1,7,5,2]=>[2,4,5,7,1,3,6]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[[1,2,3,4,5],[6],[7]]=>[7]
[6,4,3,2,1,7,5]=>[2,4,5,6,7,1,3]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[6,4,3,2,5,7,1]=>[2,4,5,6,3,1,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[6,4,3,2,7,5,1]=>[2,4,5,6,1,3,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[6,4,3,5,1,2,7]=>[2,4,5,3,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[6,4,3,5,1,7,2]=>[2,4,5,3,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,4,3,5,2,1,7]=>[2,4,5,3,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[6,4,3,5,2,7,1]=>[2,4,5,3,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[6,4,3,5,7,1,2]=>[2,4,5,3,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[6,4,3,5,7,2,1]=>[2,4,5,3,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[6,4,3,7,1,2,5]=>[2,4,5,1,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[6,4,3,7,1,5,2]=>[2,4,5,1,7,3,6]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[6,4,3,7,2,1,5]=>[2,4,5,1,6,7,3]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[6,4,3,7,2,5,1]=>[2,4,5,1,6,3,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[6,4,3,7,5,1,2]=>[2,4,5,1,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[6,4,3,7,5,2,1]=>[2,4,5,1,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[6,4,5,1,2,3,7]=>[2,4,3,7,6,5,1]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[6,4,5,1,2,7,3]=>[2,4,3,7,6,1,5]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[6,4,5,1,3,2,7]=>[2,4,3,7,5,6,1]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[6,4,5,1,3,7,2]=>[2,4,3,7,5,1,6]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,4,5,1,7,2,3]=>[2,4,3,7,1,6,5]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[6,4,5,1,7,3,2]=>[2,4,3,7,1,5,6]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[6,4,5,2,1,3,7]=>[2,4,3,6,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[6,4,5,2,1,7,3]=>[2,4,3,6,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[6,4,5,2,3,7,1]=>[2,4,3,6,5,1,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,4,5,2,7,1,3]=>[2,4,3,6,1,7,5]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[6,4,5,2,7,3,1]=>[2,4,3,6,1,5,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[6,4,5,3,1,2,7]=>[2,4,3,5,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[6,4,5,3,1,7,2]=>[2,4,3,5,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[6,4,5,3,2,1,7]=>[2,4,3,5,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[6,4,5,3,2,7,1]=>[2,4,3,5,6,1,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[6,4,5,3,7,1,2]=>[2,4,3,5,1,7,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[6,4,5,3,7,2,1]=>[2,4,3,5,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[6,4,5,7,1,2,3]=>[2,4,3,1,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[6,4,5,7,1,3,2]=>[2,4,3,1,7,5,6]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,4,5,7,2,1,3]=>[2,4,3,1,6,7,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[6,4,5,7,2,3,1]=>[2,4,3,1,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[6,4,5,7,3,1,2]=>[2,4,3,1,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[6,4,5,7,3,2,1]=>[2,4,3,1,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[6,4,7,1,2,3,5]=>[2,4,1,7,6,5,3]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[6,4,7,1,2,5,3]=>[2,4,1,7,6,3,5]=>[[1,2,4],[3,5,7],[6]]=>[3,3,1]
[6,4,7,1,3,2,5]=>[2,4,1,7,5,6,3]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[6,4,7,1,3,5,2]=>[2,4,1,7,5,3,6]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,4,7,1,5,2,3]=>[2,4,1,7,3,6,5]=>[[1,2,4],[3,5,6],[7]]=>[3,2,2]
[6,4,7,1,5,3,2]=>[2,4,1,7,3,5,6]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[6,4,7,2,1,3,5]=>[2,4,1,6,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[6,4,7,2,1,5,3]=>[2,4,1,6,7,3,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[6,4,7,2,3,1,5]=>[2,4,1,6,5,7,3]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[6,4,7,2,3,5,1]=>[2,4,1,6,5,3,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[6,4,7,2,5,3,1]=>[2,4,1,6,3,5,7]=>[[1,2,4,7],[3,5,6]]=>[3,2,2]
[6,4,7,3,1,2,5]=>[2,4,1,5,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[6,4,7,3,1,5,2]=>[2,4,1,5,7,3,6]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[6,4,7,3,2,1,5]=>[2,4,1,5,6,7,3]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[6,4,7,3,2,5,1]=>[2,4,1,5,6,3,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[6,4,7,3,5,1,2]=>[2,4,1,5,3,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[6,4,7,3,5,2,1]=>[2,4,1,5,3,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[6,4,7,5,1,2,3]=>[2,4,1,3,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>[3,4]
[6,4,7,5,1,3,2]=>[2,4,1,3,7,5,6]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[6,4,7,5,2,1,3]=>[2,4,1,3,6,7,5]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[6,4,7,5,2,3,1]=>[2,4,1,3,6,5,7]=>[[1,2,5,7],[3,4,6]]=>[3,3,1]
[6,4,7,5,3,1,2]=>[2,4,1,3,5,7,6]=>[[1,2,5,6],[3,4,7]]=>[3,4]
[6,4,7,5,3,2,1]=>[2,4,1,3,5,6,7]=>[[1,2,5,6,7],[3,4]]=>[3,4]
[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[6,5,1,2,3,7,4]=>[2,3,7,6,5,1,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[6,5,1,2,4,7,3]=>[2,3,7,6,4,1,5]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,5,1,2,7,3,4]=>[2,3,7,6,1,5,4]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[6,5,1,2,7,4,3]=>[2,3,7,6,1,4,5]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[6,5,1,3,2,4,7]=>[2,3,7,5,6,4,1]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[6,5,1,3,2,7,4]=>[2,3,7,5,6,1,4]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,5,1,3,4,2,7]=>[2,3,7,5,4,6,1]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[6,5,1,3,4,7,2]=>[2,3,7,5,4,1,6]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,5,1,3,7,2,4]=>[2,3,7,5,1,6,4]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[6,5,1,3,7,4,2]=>[2,3,7,5,1,4,6]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[6,5,1,4,2,3,7]=>[2,3,7,4,6,5,1]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[6,5,1,4,2,7,3]=>[2,3,7,4,6,1,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[6,5,1,4,3,7,2]=>[2,3,7,4,5,1,6]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[6,5,1,4,7,2,3]=>[2,3,7,4,1,6,5]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[6,5,1,7,2,3,4]=>[2,3,7,1,6,5,4]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[6,5,1,7,2,4,3]=>[2,3,7,1,6,4,5]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,5,1,7,3,2,4]=>[2,3,7,1,5,6,4]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[6,5,1,7,3,4,2]=>[2,3,7,1,5,4,6]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,5,1,7,4,2,3]=>[2,3,7,1,4,6,5]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[6,5,1,7,4,3,2]=>[2,3,7,1,4,5,6]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[6,5,2,1,3,7,4]=>[2,3,6,7,5,1,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,5,2,1,4,3,7]=>[2,3,6,7,4,5,1]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[6,5,2,1,4,7,3]=>[2,3,6,7,4,1,5]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,5,2,1,7,3,4]=>[2,3,6,7,1,5,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[6,5,2,1,7,4,3]=>[2,3,6,7,1,4,5]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[6,5,2,3,1,4,7]=>[2,3,6,5,7,4,1]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[6,5,2,3,1,7,4]=>[2,3,6,5,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,5,2,3,4,1,7]=>[2,3,6,5,4,7,1]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[6,5,2,3,4,7,1]=>[2,3,6,5,4,1,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[6,5,2,3,7,4,1]=>[2,3,6,5,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[6,5,2,4,1,3,7]=>[2,3,6,4,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[6,5,2,4,1,7,3]=>[2,3,6,4,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,5,2,4,3,1,7]=>[2,3,6,4,5,7,1]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[6,5,2,4,3,7,1]=>[2,3,6,4,5,1,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[6,5,2,4,7,1,3]=>[2,3,6,4,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[6,5,2,4,7,3,1]=>[2,3,6,4,1,5,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[6,5,2,7,1,3,4]=>[2,3,6,1,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[6,5,2,7,1,4,3]=>[2,3,6,1,7,4,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[6,5,2,7,3,1,4]=>[2,3,6,1,5,7,4]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[6,5,2,7,3,4,1]=>[2,3,6,1,5,4,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[6,5,2,7,4,1,3]=>[2,3,6,1,4,7,5]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[6,5,2,7,4,3,1]=>[2,3,6,1,4,5,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[6,5,3,1,2,7,4]=>[2,3,5,7,6,1,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,5,3,1,4,2,7]=>[2,3,5,7,4,6,1]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[6,5,3,1,4,7,2]=>[2,3,5,7,4,1,6]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,5,3,1,7,2,4]=>[2,3,5,7,1,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[6,5,3,1,7,4,2]=>[2,3,5,7,1,4,6]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>[[1,2,3,4,5],[6],[7]]=>[7]
[6,5,3,2,1,7,4]=>[2,3,5,6,7,1,4]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[6,5,3,2,4,1,7]=>[2,3,5,6,4,7,1]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[6,5,3,2,7,4,1]=>[2,3,5,6,1,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[6,5,3,4,1,2,7]=>[2,3,5,4,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[6,5,3,4,1,7,2]=>[2,3,5,4,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[6,5,3,4,2,7,1]=>[2,3,5,4,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[6,5,3,4,7,1,2]=>[2,3,5,4,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[6,5,3,4,7,2,1]=>[2,3,5,4,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[6,5,3,7,1,2,4]=>[2,3,5,1,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[6,5,3,7,1,4,2]=>[2,3,5,1,7,4,6]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[6,5,3,7,2,4,1]=>[2,3,5,1,6,4,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[6,5,3,7,4,1,2]=>[2,3,5,1,4,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[6,5,3,7,4,2,1]=>[2,3,5,1,4,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[6,5,4,1,2,7,3]=>[2,3,4,7,6,1,5]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[6,5,4,1,3,2,7]=>[2,3,4,7,5,6,1]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[6,5,4,1,3,7,2]=>[2,3,4,7,5,1,6]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[6,5,4,1,7,2,3]=>[2,3,4,7,1,6,5]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[6,5,4,1,7,3,2]=>[2,3,4,7,1,5,6]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>[[1,2,3,4,5],[6],[7]]=>[7]
[6,5,4,2,1,7,3]=>[2,3,4,6,7,1,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[6,5,4,2,3,1,7]=>[2,3,4,6,5,7,1]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[6,5,4,2,3,7,1]=>[2,3,4,6,5,1,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[6,5,4,2,7,1,3]=>[2,3,4,6,1,7,5]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[6,5,4,2,7,3,1]=>[2,3,4,6,1,5,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>[[1,2,3,4,5],[6],[7]]=>[7]
[6,5,4,3,1,7,2]=>[2,3,4,5,7,1,6]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[1,2,3,4,5,6],[7]]=>[7]
[6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>[[1,2,3,4,5,7],[6]]=>[6,1]
[6,5,4,3,7,1,2]=>[2,3,4,5,1,7,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[6,5,4,3,7,2,1]=>[2,3,4,5,1,6,7]=>[[1,2,3,4,6,7],[5]]=>[5,2]
[6,5,4,7,1,2,3]=>[2,3,4,1,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[6,5,4,7,1,3,2]=>[2,3,4,1,7,5,6]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[6,5,4,7,2,1,3]=>[2,3,4,1,6,7,5]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[6,5,4,7,2,3,1]=>[2,3,4,1,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[6,5,4,7,3,1,2]=>[2,3,4,1,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[6,5,4,7,3,2,1]=>[2,3,4,1,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[4,3]
[6,5,7,1,2,3,4]=>[2,3,1,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[6,5,7,1,2,4,3]=>[2,3,1,7,6,4,5]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,5,7,1,3,2,4]=>[2,3,1,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[6,5,7,1,3,4,2]=>[2,3,1,7,5,4,6]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,5,7,1,4,2,3]=>[2,3,1,7,4,6,5]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[6,5,7,1,4,3,2]=>[2,3,1,7,4,5,6]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[6,5,7,2,1,3,4]=>[2,3,1,6,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[6,5,7,2,1,4,3]=>[2,3,1,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[6,5,7,2,3,1,4]=>[2,3,1,6,5,7,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[6,5,7,2,3,4,1]=>[2,3,1,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[6,5,7,2,4,1,3]=>[2,3,1,6,4,7,5]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[6,5,7,2,4,3,1]=>[2,3,1,6,4,5,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[6,5,7,3,1,2,4]=>[2,3,1,5,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[6,5,7,3,1,4,2]=>[2,3,1,5,7,4,6]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[6,5,7,3,2,1,4]=>[2,3,1,5,6,7,4]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[6,5,7,3,2,4,1]=>[2,3,1,5,6,4,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[6,5,7,3,4,1,2]=>[2,3,1,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[6,5,7,3,4,2,1]=>[2,3,1,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[6,5,7,4,1,2,3]=>[2,3,1,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[6,5,7,4,2,3,1]=>[2,3,1,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[6,5,7,4,3,1,2]=>[2,3,1,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[6,5,7,4,3,2,1]=>[2,3,1,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[3,4]
[6,7,1,2,3,4,5]=>[2,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[2,5]
[6,7,1,2,3,5,4]=>[2,1,7,6,5,3,4]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,7,1,2,4,3,5]=>[2,1,7,6,4,5,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[6,7,1,2,4,5,3]=>[2,1,7,6,4,3,5]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,7,1,2,5,3,4]=>[2,1,7,6,3,5,4]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[6,7,1,2,5,4,3]=>[2,1,7,6,3,4,5]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[6,7,1,3,2,4,5]=>[2,1,7,5,6,4,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[6,7,1,3,2,5,4]=>[2,1,7,5,6,3,4]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[6,7,1,3,4,2,5]=>[2,1,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[6,7,1,3,4,5,2]=>[2,1,7,5,4,3,6]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,7,1,3,5,2,4]=>[2,1,7,5,3,6,4]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[6,7,1,3,5,4,2]=>[2,1,7,5,3,4,6]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[6,7,1,4,2,3,5]=>[2,1,7,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[6,7,1,4,2,5,3]=>[2,1,7,4,6,3,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[6,7,1,4,3,2,5]=>[2,1,7,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[6,7,1,4,3,5,2]=>[2,1,7,4,5,3,6]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,7,1,4,5,2,3]=>[2,1,7,4,3,6,5]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[6,7,1,4,5,3,2]=>[2,1,7,4,3,5,6]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[6,7,1,5,2,3,4]=>[2,1,7,3,6,5,4]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[6,7,1,5,2,4,3]=>[2,1,7,3,6,4,5]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,7,1,5,3,2,4]=>[2,1,7,3,5,6,4]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[6,7,1,5,3,4,2]=>[2,1,7,3,5,4,6]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,7,1,5,4,2,3]=>[2,1,7,3,4,6,5]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[6,7,1,5,4,3,2]=>[2,1,7,3,4,5,6]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[6,7,2,1,3,4,5]=>[2,1,6,7,5,4,3]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[6,7,2,1,3,5,4]=>[2,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,7,2,1,4,3,5]=>[2,1,6,7,4,5,3]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[6,7,2,1,4,5,3]=>[2,1,6,7,4,3,5]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,7,2,1,5,3,4]=>[2,1,6,7,3,5,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[6,7,2,1,5,4,3]=>[2,1,6,7,3,4,5]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[6,7,2,3,1,4,5]=>[2,1,6,5,7,4,3]=>[[1,3,5],[2,4],[6],[7]]=>[2,2,3]
[6,7,2,3,1,5,4]=>[2,1,6,5,7,3,4]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[6,7,2,3,4,1,5]=>[2,1,6,5,4,7,3]=>[[1,3,6],[2,4],[5],[7]]=>[2,3,2]
[6,7,2,3,4,5,1]=>[2,1,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[2,4,1]
[6,7,2,3,5,1,4]=>[2,1,6,5,3,7,4]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[6,7,2,3,5,4,1]=>[2,1,6,5,3,4,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[6,7,2,4,1,3,5]=>[2,1,6,4,7,5,3]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[6,7,2,4,1,5,3]=>[2,1,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[6,7,2,4,3,1,5]=>[2,1,6,4,5,7,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[6,7,2,4,3,5,1]=>[2,1,6,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,7,2,4,5,1,3]=>[2,1,6,4,3,7,5]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[6,7,2,4,5,3,1]=>[2,1,6,4,3,5,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[6,7,2,5,1,3,4]=>[2,1,6,3,7,5,4]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[6,7,2,5,1,4,3]=>[2,1,6,3,7,4,5]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[6,7,2,5,3,1,4]=>[2,1,6,3,5,7,4]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[6,7,2,5,3,4,1]=>[2,1,6,3,5,4,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,7,2,5,4,1,3]=>[2,1,6,3,4,7,5]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[6,7,2,5,4,3,1]=>[2,1,6,3,4,5,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[6,7,3,1,2,4,5]=>[2,1,5,7,6,4,3]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[6,7,3,1,2,5,4]=>[2,1,5,7,6,3,4]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,7,3,1,4,2,5]=>[2,1,5,7,4,6,3]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[6,7,3,1,4,5,2]=>[2,1,5,7,4,3,6]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,7,3,1,5,2,4]=>[2,1,5,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[6,7,3,1,5,4,2]=>[2,1,5,7,3,4,6]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[6,7,3,2,1,4,5]=>[2,1,5,6,7,4,3]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[6,7,3,2,1,5,4]=>[2,1,5,6,7,3,4]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[6,7,3,2,4,1,5]=>[2,1,5,6,4,7,3]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[6,7,3,2,4,5,1]=>[2,1,5,6,4,3,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,7,3,2,5,1,4]=>[2,1,5,6,3,7,4]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[6,7,3,2,5,4,1]=>[2,1,5,6,3,4,7]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[6,7,3,4,1,2,5]=>[2,1,5,4,7,6,3]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[6,7,3,4,1,5,2]=>[2,1,5,4,7,3,6]=>[[1,3,5],[2,4,7],[6]]=>[2,2,2,1]
[6,7,3,4,2,1,5]=>[2,1,5,4,6,7,3]=>[[1,3,5,6],[2,4],[7]]=>[2,2,3]
[6,7,3,4,2,5,1]=>[2,1,5,4,6,3,7]=>[[1,3,5,7],[2,4],[6]]=>[2,2,2,1]
[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[2,3,2]
[6,7,3,4,5,2,1]=>[2,1,5,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>[2,3,2]
[6,7,3,5,1,2,4]=>[2,1,5,3,7,6,4]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[6,7,3,5,1,4,2]=>[2,1,5,3,7,4,6]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[6,7,3,5,2,1,4]=>[2,1,5,3,6,7,4]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[6,7,3,5,2,4,1]=>[2,1,5,3,6,4,7]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[6,7,3,5,4,2,1]=>[2,1,5,3,4,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[6,7,4,1,2,3,5]=>[2,1,4,7,6,5,3]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[6,7,4,1,2,5,3]=>[2,1,4,7,6,3,5]=>[[1,3,4],[2,5,7],[6]]=>[2,4,1]
[6,7,4,1,3,2,5]=>[2,1,4,7,5,6,3]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[6,7,4,1,3,5,2]=>[2,1,4,7,5,3,6]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,7,4,1,5,2,3]=>[2,1,4,7,3,6,5]=>[[1,3,4],[2,5,6],[7]]=>[2,3,2]
[6,7,4,1,5,3,2]=>[2,1,4,7,3,5,6]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[6,7,4,2,1,3,5]=>[2,1,4,6,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[6,7,4,2,1,5,3]=>[2,1,4,6,7,3,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[6,7,4,2,3,1,5]=>[2,1,4,6,5,7,3]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[6,7,4,2,3,5,1]=>[2,1,4,6,5,3,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,7,4,2,5,1,3]=>[2,1,4,6,3,7,5]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[6,7,4,2,5,3,1]=>[2,1,4,6,3,5,7]=>[[1,3,4,7],[2,5,6]]=>[2,3,2]
[6,7,4,3,1,2,5]=>[2,1,4,5,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[6,7,4,3,1,5,2]=>[2,1,4,5,7,3,6]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[6,7,4,3,2,1,5]=>[2,1,4,5,6,7,3]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[6,7,4,3,2,5,1]=>[2,1,4,5,6,3,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[6,7,4,3,5,2,1]=>[2,1,4,5,3,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[6,7,4,5,1,2,3]=>[2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[2,2,3]
[6,7,4,5,1,3,2]=>[2,1,4,3,7,5,6]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[6,7,4,5,2,1,3]=>[2,1,4,3,6,7,5]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[6,7,4,5,2,3,1]=>[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[2,2,2,1]
[6,7,4,5,3,1,2]=>[2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7]]=>[2,2,3]
[6,7,4,5,3,2,1]=>[2,1,4,3,5,6,7]=>[[1,3,5,6,7],[2,4]]=>[2,2,3]
[6,7,5,1,2,3,4]=>[2,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[2,5]
[6,7,5,1,2,4,3]=>[2,1,3,7,6,4,5]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,7,5,1,3,2,4]=>[2,1,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[6,7,5,1,3,4,2]=>[2,1,3,7,5,4,6]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,7,5,1,4,2,3]=>[2,1,3,7,4,6,5]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[6,7,5,1,4,3,2]=>[2,1,3,7,4,5,6]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[6,7,5,2,1,3,4]=>[2,1,3,6,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[6,7,5,2,1,4,3]=>[2,1,3,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[6,7,5,2,3,1,4]=>[2,1,3,6,5,7,4]=>[[1,3,4,6],[2,5],[7]]=>[2,3,2]
[6,7,5,2,3,4,1]=>[2,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[2,4,1]
[6,7,5,2,4,1,3]=>[2,1,3,6,4,7,5]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[6,7,5,2,4,3,1]=>[2,1,3,6,4,5,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[6,7,5,3,1,2,4]=>[2,1,3,5,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[6,7,5,3,1,4,2]=>[2,1,3,5,7,4,6]=>[[1,3,4,5],[2,6,7]]=>[2,4,1]
[6,7,5,3,2,1,4]=>[2,1,3,5,6,7,4]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[6,7,5,3,2,4,1]=>[2,1,3,5,6,4,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[6,7,5,3,4,1,2]=>[2,1,3,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[2,3,2]
[6,7,5,3,4,2,1]=>[2,1,3,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>[2,3,2]
[6,7,5,4,1,2,3]=>[2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[2,5]
[6,7,5,4,1,3,2]=>[2,1,3,4,7,5,6]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[6,7,5,4,2,1,3]=>[2,1,3,4,6,7,5]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[6,7,5,4,2,3,1]=>[2,1,3,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[2,4,1]
[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[2,5]
[6,7,5,4,3,2,1]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[2,5]
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[7]
[7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[7,1,2,3,5,6,4]=>[1,7,6,5,3,2,4]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[7,1,2,3,6,4,5]=>[1,7,6,5,2,4,3]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[7,1,2,4,5,3,6]=>[1,7,6,4,3,5,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[7,1,2,4,5,6,3]=>[1,7,6,4,3,2,5]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,1,2,4,6,5,3]=>[1,7,6,4,2,3,5]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[7,1,2,5,3,6,4]=>[1,7,6,3,5,2,4]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[7,1,2,5,4,6,3]=>[1,7,6,3,4,2,5]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[7,1,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,1,2,5,6,4,3]=>[1,7,6,3,2,4,5]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[7,1,2,6,3,4,5]=>[1,7,6,2,5,4,3]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[7,1,2,6,4,5,3]=>[1,7,6,2,4,3,5]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[7,1,3,2,4,5,6]=>[1,7,5,6,4,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,1,3,2,5,6,4]=>[1,7,5,6,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[7,1,3,2,6,4,5]=>[1,7,5,6,2,4,3]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,1,3,4,2,5,6]=>[1,7,5,4,6,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[7,1,3,4,2,6,5]=>[1,7,5,4,6,2,3]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[7,1,3,4,5,2,6]=>[1,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[7,1,3,4,5,6,2]=>[1,7,5,4,3,2,6]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[7,1,3,4,6,2,5]=>[1,7,5,4,2,6,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,1,3,4,6,5,2]=>[1,7,5,4,2,3,6]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[7,1,3,5,2,4,6]=>[1,7,5,3,6,4,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,1,3,5,2,6,4]=>[1,7,5,3,6,2,4]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[7,1,3,5,4,2,6]=>[1,7,5,3,4,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[7,1,3,5,4,6,2]=>[1,7,5,3,4,2,6]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[7,1,3,5,6,2,4]=>[1,7,5,3,2,6,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,1,3,5,6,4,2]=>[1,7,5,3,2,4,6]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[7,1,3,6,2,4,5]=>[1,7,5,2,6,4,3]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,1,3,6,4,2,5]=>[1,7,5,2,4,6,3]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[7,1,3,6,4,5,2]=>[1,7,5,2,4,3,6]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,1,3,6,5,4,2]=>[1,7,5,2,3,4,6]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[7,1,4,2,3,5,6]=>[1,7,4,6,5,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[7,1,4,2,5,3,6]=>[1,7,4,6,3,5,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,1,4,2,5,6,3]=>[1,7,4,6,3,2,5]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[7,1,4,2,6,3,5]=>[1,7,4,6,2,5,3]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,1,4,2,6,5,3]=>[1,7,4,6,2,3,5]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,1,4,3,2,5,6]=>[1,7,4,5,6,3,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,1,4,3,5,2,6]=>[1,7,4,5,3,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,1,4,3,5,6,2]=>[1,7,4,5,3,2,6]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,1,4,3,6,5,2]=>[1,7,4,5,2,3,6]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,1,4,5,2,3,6]=>[1,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,1,4,5,2,6,3]=>[1,7,4,3,6,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[7,1,4,5,3,2,6]=>[1,7,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[7,1,4,5,3,6,2]=>[1,7,4,3,5,2,6]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[7,1,4,5,6,2,3]=>[1,7,4,3,2,6,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,1,4,5,6,3,2]=>[1,7,4,3,2,5,6]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[7,1,4,6,2,3,5]=>[1,7,4,2,6,5,3]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,1,4,6,2,5,3]=>[1,7,4,2,6,3,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,1,4,6,3,5,2]=>[1,7,4,2,5,3,6]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,1,4,6,5,2,3]=>[1,7,4,2,3,6,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,1,4,6,5,3,2]=>[1,7,4,2,3,5,6]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[7,1,5,2,3,4,6]=>[1,7,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,1,5,2,3,6,4]=>[1,7,3,6,5,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[7,1,5,2,4,3,6]=>[1,7,3,6,4,5,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,1,5,2,4,6,3]=>[1,7,3,6,4,2,5]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[7,1,5,2,6,3,4]=>[1,7,3,6,2,5,4]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,1,5,2,6,4,3]=>[1,7,3,6,2,4,5]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,1,5,3,2,4,6]=>[1,7,3,5,6,4,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,1,5,3,2,6,4]=>[1,7,3,5,6,2,4]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,1,5,3,4,2,6]=>[1,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,1,5,3,4,6,2]=>[1,7,3,5,4,2,6]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,1,5,3,6,4,2]=>[1,7,3,5,2,4,6]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,1,5,4,2,3,6]=>[1,7,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,1,5,4,2,6,3]=>[1,7,3,4,6,2,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[7,1,5,4,3,6,2]=>[1,7,3,4,5,2,6]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[7,1,5,4,6,2,3]=>[1,7,3,4,2,6,5]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,1,5,4,6,3,2]=>[1,7,3,4,2,5,6]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[7,1,5,6,2,3,4]=>[1,7,3,2,6,5,4]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,1,5,6,2,4,3]=>[1,7,3,2,6,4,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,1,5,6,3,2,4]=>[1,7,3,2,5,6,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,1,5,6,3,4,2]=>[1,7,3,2,5,4,6]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,1,5,6,4,2,3]=>[1,7,3,2,4,6,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,1,5,6,4,3,2]=>[1,7,3,2,4,5,6]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[7,1,6,2,3,4,5]=>[1,7,2,6,5,4,3]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,1,6,2,4,5,3]=>[1,7,2,6,4,3,5]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[7,1,6,3,2,4,5]=>[1,7,2,5,6,4,3]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,1,6,3,4,2,5]=>[1,7,2,5,4,6,3]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,1,6,3,4,5,2]=>[1,7,2,5,4,3,6]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,1,6,3,5,4,2]=>[1,7,2,5,3,4,6]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,1,6,4,2,5,3]=>[1,7,2,4,6,3,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[7,1,6,4,3,5,2]=>[1,7,2,4,5,3,6]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[7,1,6,4,5,2,3]=>[1,7,2,4,3,6,5]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,1,6,4,5,3,2]=>[1,7,2,4,3,5,6]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[7,1,6,5,2,3,4]=>[1,7,2,3,6,5,4]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[7,1,6,5,3,4,2]=>[1,7,2,3,5,4,6]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[7,1,6,5,4,2,3]=>[1,7,2,3,4,6,5]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[[1,2,4,5,6,7],[3]]=>[3,4]
[7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[7,2,1,3,5,4,6]=>[1,6,7,5,3,4,2]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,2,1,3,5,6,4]=>[1,6,7,5,3,2,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[7,2,1,3,6,4,5]=>[1,6,7,5,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,2,1,4,3,5,6]=>[1,6,7,4,5,3,2]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[7,2,1,4,5,3,6]=>[1,6,7,4,3,5,2]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,2,1,4,5,6,3]=>[1,6,7,4,3,2,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[7,2,1,4,6,5,3]=>[1,6,7,4,2,3,5]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,2,1,5,3,4,6]=>[1,6,7,3,5,4,2]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,2,1,5,3,6,4]=>[1,6,7,3,5,2,4]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,2,1,5,4,6,3]=>[1,6,7,3,4,2,5]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,2,1,5,6,3,4]=>[1,6,7,3,2,5,4]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[7,2,1,5,6,4,3]=>[1,6,7,3,2,4,5]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,2,1,6,3,4,5]=>[1,6,7,2,5,4,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,2,1,6,3,5,4]=>[1,6,7,2,5,3,4]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,2,1,6,4,3,5]=>[1,6,7,2,4,5,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,2,1,6,4,5,3]=>[1,6,7,2,4,3,5]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,2,1,6,5,3,4]=>[1,6,7,2,3,5,4]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[7,2,3,1,4,5,6]=>[1,6,5,7,4,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>[3,4]
[7,2,3,1,4,6,5]=>[1,6,5,7,4,2,3]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[7,2,3,1,5,4,6]=>[1,6,5,7,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,2,3,1,5,6,4]=>[1,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[7,2,3,1,6,4,5]=>[1,6,5,7,2,4,3]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,2,3,1,6,5,4]=>[1,6,5,7,2,3,4]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,2,3,4,1,5,6]=>[1,6,5,4,7,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[4,3]
[7,2,3,4,1,6,5]=>[1,6,5,4,7,2,3]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[7,2,3,4,5,1,6]=>[1,6,5,4,3,7,2]=>[[1,2,6],[3],[4],[5],[7]]=>[5,2]
[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[6,1]
[7,2,3,4,6,1,5]=>[1,6,5,4,2,7,3]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[7,2,3,5,1,4,6]=>[1,6,5,3,7,4,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,2,3,5,1,6,4]=>[1,6,5,3,7,2,4]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[7,2,3,5,4,1,6]=>[1,6,5,3,4,7,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[7,2,3,5,6,1,4]=>[1,6,5,3,2,7,4]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,2,3,5,6,4,1]=>[1,6,5,3,2,4,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[7,2,3,6,1,4,5]=>[1,6,5,2,7,4,3]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,2,3,6,1,5,4]=>[1,6,5,2,7,3,4]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,2,3,6,4,1,5]=>[1,6,5,2,4,7,3]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[7,2,3,6,4,5,1]=>[1,6,5,2,4,3,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[7,2,3,6,5,1,4]=>[1,6,5,2,3,7,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[7,2,4,1,3,5,6]=>[1,6,4,7,5,3,2]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[7,2,4,1,5,3,6]=>[1,6,4,7,3,5,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,2,4,1,5,6,3]=>[1,6,4,7,3,2,5]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[7,2,4,1,6,3,5]=>[1,6,4,7,2,5,3]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[7,2,4,1,6,5,3]=>[1,6,4,7,2,3,5]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,2,4,3,1,5,6]=>[1,6,4,5,7,3,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,2,4,3,1,6,5]=>[1,6,4,5,7,2,3]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,2,4,3,5,1,6]=>[1,6,4,5,3,7,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[7,2,4,3,6,1,5]=>[1,6,4,5,2,7,3]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,2,4,5,1,3,6]=>[1,6,4,3,7,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,2,4,5,1,6,3]=>[1,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[7,2,4,5,3,1,6]=>[1,6,4,3,5,7,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[7,2,4,5,3,6,1]=>[1,6,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[7,2,4,5,6,1,3]=>[1,6,4,3,2,7,5]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,2,4,5,6,3,1]=>[1,6,4,3,2,5,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[7,2,4,6,1,5,3]=>[1,6,4,2,7,3,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,2,4,6,3,1,5]=>[1,6,4,2,5,7,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,2,4,6,3,5,1]=>[1,6,4,2,5,3,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,2,4,6,5,1,3]=>[1,6,4,2,3,7,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,2,4,6,5,3,1]=>[1,6,4,2,3,5,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[7,2,5,1,3,4,6]=>[1,6,3,7,5,4,2]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,2,5,1,3,6,4]=>[1,6,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[7,2,5,1,4,3,6]=>[1,6,3,7,4,5,2]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,2,5,1,4,6,3]=>[1,6,3,7,4,2,5]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,2,5,1,6,3,4]=>[1,6,3,7,2,5,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[7,2,5,1,6,4,3]=>[1,6,3,7,2,4,5]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,2,5,3,1,4,6]=>[1,6,3,5,7,4,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,2,5,3,1,6,4]=>[1,6,3,5,7,2,4]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,2,5,3,4,1,6]=>[1,6,3,5,4,7,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,2,5,3,4,6,1]=>[1,6,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[7,2,5,3,6,1,4]=>[1,6,3,5,2,7,4]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,2,5,3,6,4,1]=>[1,6,3,5,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,2,5,4,1,3,6]=>[1,6,3,4,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,2,5,4,1,6,3]=>[1,6,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,2,5,4,3,1,6]=>[1,6,3,4,5,7,2]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[7,2,5,4,6,1,3]=>[1,6,3,4,2,7,5]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,2,5,4,6,3,1]=>[1,6,3,4,2,5,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[7,2,5,6,1,3,4]=>[1,6,3,2,7,5,4]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[7,2,5,6,1,4,3]=>[1,6,3,2,7,4,5]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,2,5,6,3,1,4]=>[1,6,3,2,5,7,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,2,5,6,4,1,3]=>[1,6,3,2,4,7,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,2,5,6,4,3,1]=>[1,6,3,2,4,5,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[7,2,6,1,3,4,5]=>[1,6,2,7,5,4,3]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,2,6,1,4,3,5]=>[1,6,2,7,4,5,3]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,2,6,1,4,5,3]=>[1,6,2,7,4,3,5]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,2,6,1,5,3,4]=>[1,6,2,7,3,5,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[7,2,6,3,1,4,5]=>[1,6,2,5,7,4,3]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,2,6,3,1,5,4]=>[1,6,2,5,7,3,4]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,2,6,3,4,1,5]=>[1,6,2,5,4,7,3]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,2,6,3,4,5,1]=>[1,6,2,5,4,3,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[7,2,6,3,5,1,4]=>[1,6,2,5,3,7,4]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,2,6,3,5,4,1]=>[1,6,2,5,3,4,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[7,2,6,4,1,3,5]=>[1,6,2,4,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,2,6,4,1,5,3]=>[1,6,2,4,7,3,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,2,6,4,3,1,5]=>[1,6,2,4,5,7,3]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[7,2,6,4,3,5,1]=>[1,6,2,4,5,3,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[7,2,6,4,5,1,3]=>[1,6,2,4,3,7,5]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[7,2,6,5,1,3,4]=>[1,6,2,3,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[7,2,6,5,3,1,4]=>[1,6,2,3,5,7,4]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[7,2,6,5,3,4,1]=>[1,6,2,3,5,4,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[[1,2,4,5,6,7],[3]]=>[3,4]
[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,3,1,2,5,6,4]=>[1,5,7,6,3,2,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[7,3,1,2,6,4,5]=>[1,5,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,3,1,4,2,5,6]=>[1,5,7,4,6,3,2]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,3,1,4,2,6,5]=>[1,5,7,4,6,2,3]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[7,3,1,4,5,2,6]=>[1,5,7,4,3,6,2]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,3,1,4,5,6,2]=>[1,5,7,4,3,2,6]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[7,3,1,4,6,2,5]=>[1,5,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[7,3,1,4,6,5,2]=>[1,5,7,4,2,3,6]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,3,1,5,2,4,6]=>[1,5,7,3,6,4,2]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,3,1,5,2,6,4]=>[1,5,7,3,6,2,4]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[7,3,1,5,4,2,6]=>[1,5,7,3,4,6,2]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,3,1,5,4,6,2]=>[1,5,7,3,4,2,6]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,3,1,5,6,2,4]=>[1,5,7,3,2,6,4]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[7,3,1,5,6,4,2]=>[1,5,7,3,2,4,6]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,3,1,6,2,4,5]=>[1,5,7,2,6,4,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,3,1,6,4,2,5]=>[1,5,7,2,4,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,3,1,6,4,5,2]=>[1,5,7,2,4,3,6]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,3,1,6,5,2,4]=>[1,5,7,2,3,6,4]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,3,1,6,5,4,2]=>[1,5,7,2,3,4,6]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,3,2,1,5,6,4]=>[1,5,6,7,3,2,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,3,2,1,6,4,5]=>[1,5,6,7,2,4,3]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[7,3,2,4,1,5,6]=>[1,5,6,4,7,3,2]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,3,2,4,1,6,5]=>[1,5,6,4,7,2,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,3,2,4,5,1,6]=>[1,5,6,4,3,7,2]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[7,3,2,4,6,1,5]=>[1,5,6,4,2,7,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,3,2,5,1,6,4]=>[1,5,6,3,7,2,4]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,3,2,5,4,1,6]=>[1,5,6,3,4,7,2]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,3,2,5,6,1,4]=>[1,5,6,3,2,7,4]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,3,2,5,6,4,1]=>[1,5,6,3,2,4,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,3,2,6,1,4,5]=>[1,5,6,2,7,4,3]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[7,3,2,6,4,1,5]=>[1,5,6,2,4,7,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,3,2,6,4,5,1]=>[1,5,6,2,4,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[7,3,4,1,2,5,6]=>[1,5,4,7,6,3,2]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,3,4,1,2,6,5]=>[1,5,4,7,6,2,3]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[7,3,4,1,5,2,6]=>[1,5,4,7,3,6,2]=>[[1,2,4],[3,6],[5],[7]]=>[3,2,2]
[7,3,4,1,5,6,2]=>[1,5,4,7,3,2,6]=>[[1,2,4],[3,7],[5],[6]]=>[3,3,1]
[7,3,4,1,6,2,5]=>[1,5,4,7,2,6,3]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[7,3,4,1,6,5,2]=>[1,5,4,7,2,3,6]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,3,4,2,1,5,6]=>[1,5,4,6,7,3,2]=>[[1,2,4,5],[3],[6],[7]]=>[3,4]
[7,3,4,2,1,6,5]=>[1,5,4,6,7,2,3]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,3,4,2,5,1,6]=>[1,5,4,6,3,7,2]=>[[1,2,4,6],[3],[5],[7]]=>[3,2,2]
[7,3,4,2,5,6,1]=>[1,5,4,6,3,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[3,3,1]
[7,3,4,2,6,1,5]=>[1,5,4,6,2,7,3]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,3,4,2,6,5,1]=>[1,5,4,6,2,3,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,3,4,5,1,2,6]=>[1,5,4,3,7,6,2]=>[[1,2,5],[3,6],[4],[7]]=>[4,3]
[7,3,4,5,1,6,2]=>[1,5,4,3,7,2,6]=>[[1,2,5],[3,7],[4],[6]]=>[4,2,1]
[7,3,4,5,2,1,6]=>[1,5,4,3,6,7,2]=>[[1,2,5,6],[3],[4],[7]]=>[4,3]
[7,3,4,5,2,6,1]=>[1,5,4,3,6,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[4,2,1]
[7,3,4,5,6,1,2]=>[1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[5,2]
[7,3,4,5,6,2,1]=>[1,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[5,2]
[7,3,4,6,1,2,5]=>[1,5,4,2,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[7,3,4,6,1,5,2]=>[1,5,4,2,7,3,6]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,3,4,6,2,1,5]=>[1,5,4,2,6,7,3]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,3,4,6,2,5,1]=>[1,5,4,2,6,3,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,3,4,6,5,1,2]=>[1,5,4,2,3,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,3,4,6,5,2,1]=>[1,5,4,2,3,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[7,3,5,1,2,4,6]=>[1,5,3,7,6,4,2]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,3,5,1,2,6,4]=>[1,5,3,7,6,2,4]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[7,3,5,1,4,2,6]=>[1,5,3,7,4,6,2]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,3,5,1,4,6,2]=>[1,5,3,7,4,2,6]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,3,5,1,6,2,4]=>[1,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[7,3,5,1,6,4,2]=>[1,5,3,7,2,4,6]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,3,5,2,1,4,6]=>[1,5,3,6,7,4,2]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,3,5,2,1,6,4]=>[1,5,3,6,7,2,4]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,3,5,2,4,1,6]=>[1,5,3,6,4,7,2]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,3,5,2,4,6,1]=>[1,5,3,6,4,2,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,3,5,2,6,1,4]=>[1,5,3,6,2,7,4]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,3,5,2,6,4,1]=>[1,5,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,3,5,4,1,2,6]=>[1,5,3,4,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,3,5,4,1,6,2]=>[1,5,3,4,7,2,6]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,3,5,4,2,1,6]=>[1,5,3,4,6,7,2]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[7,3,5,4,2,6,1]=>[1,5,3,4,6,2,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[7,3,5,4,6,1,2]=>[1,5,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,3,5,4,6,2,1]=>[1,5,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[7,3,5,6,1,2,4]=>[1,5,3,2,7,6,4]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[7,3,5,6,1,4,2]=>[1,5,3,2,7,4,6]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,3,5,6,2,1,4]=>[1,5,3,2,6,7,4]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,3,5,6,2,4,1]=>[1,5,3,2,6,4,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,3,5,6,4,1,2]=>[1,5,3,2,4,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,3,5,6,4,2,1]=>[1,5,3,2,4,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[7,3,6,1,2,4,5]=>[1,5,2,7,6,4,3]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,3,6,1,4,2,5]=>[1,5,2,7,4,6,3]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,3,6,1,4,5,2]=>[1,5,2,7,4,3,6]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,3,6,1,5,2,4]=>[1,5,2,7,3,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,3,6,1,5,4,2]=>[1,5,2,7,3,4,6]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[7,3,6,2,1,4,5]=>[1,5,2,6,7,4,3]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[7,3,6,2,4,1,5]=>[1,5,2,6,4,7,3]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,3,6,2,4,5,1]=>[1,5,2,6,4,3,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[7,3,6,2,5,4,1]=>[1,5,2,6,3,4,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[7,3,6,4,1,2,5]=>[1,5,2,4,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,3,6,4,1,5,2]=>[1,5,2,4,7,3,6]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,3,6,4,2,1,5]=>[1,5,2,4,6,7,3]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[7,3,6,4,5,1,2]=>[1,5,2,4,3,7,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,3,6,4,5,2,1]=>[1,5,2,4,3,6,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[7,3,6,5,1,2,4]=>[1,5,2,3,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,3,6,5,1,4,2]=>[1,5,2,3,7,4,6]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[7,3,6,5,2,1,4]=>[1,5,2,3,6,7,4]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[7,3,6,5,2,4,1]=>[1,5,2,3,6,4,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[7,3,6,5,4,1,2]=>[1,5,2,3,4,7,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[7,3,6,5,4,2,1]=>[1,5,2,3,4,6,7]=>[[1,2,4,5,6,7],[3]]=>[3,4]
[7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[7,4,1,2,5,3,6]=>[1,4,7,6,3,5,2]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,4,1,2,5,6,3]=>[1,4,7,6,3,2,5]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[7,4,1,2,6,3,5]=>[1,4,7,6,2,5,3]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,4,1,2,6,5,3]=>[1,4,7,6,2,3,5]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,4,1,3,5,2,6]=>[1,4,7,5,3,6,2]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,4,1,3,5,6,2]=>[1,4,7,5,3,2,6]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,4,1,3,6,5,2]=>[1,4,7,5,2,3,6]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,4,1,5,2,3,6]=>[1,4,7,3,6,5,2]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,4,1,5,2,6,3]=>[1,4,7,3,6,2,5]=>[[1,2,3],[4,5],[6,7]]=>[4,2,1]
[7,4,1,5,3,2,6]=>[1,4,7,3,5,6,2]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,4,1,5,3,6,2]=>[1,4,7,3,5,2,6]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,4,1,5,6,2,3]=>[1,4,7,3,2,6,5]=>[[1,2,3],[4,6],[5,7]]=>[5,2]
[7,4,1,5,6,3,2]=>[1,4,7,3,2,5,6]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,4,1,6,2,3,5]=>[1,4,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,4,1,6,2,5,3]=>[1,4,7,2,6,3,5]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,4,1,6,3,2,5]=>[1,4,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,4,1,6,3,5,2]=>[1,4,7,2,5,3,6]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,4,1,6,5,2,3]=>[1,4,7,2,3,6,5]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,4,1,6,5,3,2]=>[1,4,7,2,3,5,6]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,4,2,1,5,3,6]=>[1,4,6,7,3,5,2]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,4,2,1,5,6,3]=>[1,4,6,7,3,2,5]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,4,2,1,6,3,5]=>[1,4,6,7,2,5,3]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,4,2,1,6,5,3]=>[1,4,6,7,2,3,5]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[7,4,2,3,1,5,6]=>[1,4,6,5,7,3,2]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,4,2,3,1,6,5]=>[1,4,6,5,7,2,3]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,4,2,3,5,1,6]=>[1,4,6,5,3,7,2]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,4,2,3,5,6,1]=>[1,4,6,5,3,2,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[7,4,2,3,6,1,5]=>[1,4,6,5,2,7,3]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,4,2,3,6,5,1]=>[1,4,6,5,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,4,2,5,1,3,6]=>[1,4,6,3,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,4,2,5,1,6,3]=>[1,4,6,3,7,2,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,4,2,5,3,1,6]=>[1,4,6,3,5,7,2]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,4,2,5,3,6,1]=>[1,4,6,3,5,2,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,4,2,5,6,1,3]=>[1,4,6,3,2,7,5]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,4,2,5,6,3,1]=>[1,4,6,3,2,5,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,4,2,6,1,3,5]=>[1,4,6,2,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[7,4,2,6,3,1,5]=>[1,4,6,2,5,7,3]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,4,2,6,3,5,1]=>[1,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,4,3,1,5,2,6]=>[1,4,5,7,3,6,2]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,4,3,1,5,6,2]=>[1,4,5,7,3,2,6]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,4,3,1,6,2,5]=>[1,4,5,7,2,6,3]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[7,4,3,2,5,1,6]=>[1,4,5,6,3,7,2]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[7,4,3,5,1,2,6]=>[1,4,5,3,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,4,3,5,1,6,2]=>[1,4,5,3,7,2,6]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,4,3,5,2,1,6]=>[1,4,5,3,6,7,2]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[7,4,3,5,2,6,1]=>[1,4,5,3,6,2,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[7,4,3,5,6,1,2]=>[1,4,5,3,2,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,4,3,5,6,2,1]=>[1,4,5,3,2,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[7,4,3,6,1,2,5]=>[1,4,5,2,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[7,4,3,6,2,5,1]=>[1,4,5,2,6,3,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[7,4,3,6,5,1,2]=>[1,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[7,4,3,6,5,2,1]=>[1,4,5,2,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[7,4,5,1,2,3,6]=>[1,4,3,7,6,5,2]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,4,5,1,2,6,3]=>[1,4,3,7,6,2,5]=>[[1,2,4],[3,5],[6,7]]=>[3,3,1]
[7,4,5,1,3,2,6]=>[1,4,3,7,5,6,2]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,4,5,1,3,6,2]=>[1,4,3,7,5,2,6]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,4,5,1,6,2,3]=>[1,4,3,7,2,6,5]=>[[1,2,4],[3,6],[5,7]]=>[3,2,2]
[7,4,5,1,6,3,2]=>[1,4,3,7,2,5,6]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,4,5,2,1,3,6]=>[1,4,3,6,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,4,5,2,1,6,3]=>[1,4,3,6,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,4,5,2,3,1,6]=>[1,4,3,6,5,7,2]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,4,5,2,6,1,3]=>[1,4,3,6,2,7,5]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,4,5,2,6,3,1]=>[1,4,3,6,2,5,7]=>[[1,2,4,7],[3,6],[5]]=>[3,2,2]
[7,4,5,3,1,2,6]=>[1,4,3,5,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,4,5,3,1,6,2]=>[1,4,3,5,7,2,6]=>[[1,2,4,5],[3,7],[6]]=>[3,3,1]
[7,4,5,3,2,1,6]=>[1,4,3,5,6,7,2]=>[[1,2,4,5,6],[3],[7]]=>[3,4]
[7,4,5,3,2,6,1]=>[1,4,3,5,6,2,7]=>[[1,2,4,5,7],[3],[6]]=>[3,3,1]
[7,4,5,3,6,1,2]=>[1,4,3,5,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>[3,2,2]
[7,4,5,3,6,2,1]=>[1,4,3,5,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>[3,2,2]
[7,4,5,6,1,2,3]=>[1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[4,3]
[7,4,5,6,1,3,2]=>[1,4,3,2,7,5,6]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,4,5,6,2,1,3]=>[1,4,3,2,6,7,5]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,4,5,6,2,3,1]=>[1,4,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1]
[7,4,5,6,3,1,2]=>[1,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[4,3]
[7,4,5,6,3,2,1]=>[1,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[4,3]
[7,4,6,1,2,3,5]=>[1,4,2,7,6,5,3]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,4,6,1,2,5,3]=>[1,4,2,7,6,3,5]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,4,6,1,3,2,5]=>[1,4,2,7,5,6,3]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,4,6,1,3,5,2]=>[1,4,2,7,5,3,6]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,4,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[7,4,6,2,1,3,5]=>[1,4,2,6,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[7,4,6,2,3,1,5]=>[1,4,2,6,5,7,3]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,4,6,2,3,5,1]=>[1,4,2,6,5,3,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[7,4,6,3,1,2,5]=>[1,4,2,5,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[7,4,6,3,2,5,1]=>[1,4,2,5,6,3,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[7,4,6,3,5,1,2]=>[1,4,2,5,3,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[7,4,6,3,5,2,1]=>[1,4,2,5,3,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[7,4,6,5,1,2,3]=>[1,4,2,3,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[7,4,6,5,2,3,1]=>[1,4,2,3,6,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[7,4,6,5,3,2,1]=>[1,4,2,3,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[3,4]
[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,5,1,2,3,6,4]=>[1,3,7,6,5,2,4]=>[[1,2,3],[4,7],[5],[6]]=>[6,1]
[7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,5,1,2,4,6,3]=>[1,3,7,6,4,2,5]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[7,5,1,2,6,3,4]=>[1,3,7,6,2,5,4]=>[[1,2,3],[4,6],[5],[7]]=>[5,2]
[7,5,1,2,6,4,3]=>[1,3,7,6,2,4,5]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,5,1,3,2,6,4]=>[1,3,7,5,6,2,4]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,5,1,3,4,2,6]=>[1,3,7,5,4,6,2]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,5,1,3,4,6,2]=>[1,3,7,5,4,2,6]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[7,5,1,3,6,2,4]=>[1,3,7,5,2,6,4]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,5,1,3,6,4,2]=>[1,3,7,5,2,4,6]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,5,1,4,2,3,6]=>[1,3,7,4,6,5,2]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,5,1,4,2,6,3]=>[1,3,7,4,6,2,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[7,5,1,4,3,6,2]=>[1,3,7,4,5,2,6]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[7,5,1,4,6,2,3]=>[1,3,7,4,2,6,5]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,5,1,4,6,3,2]=>[1,3,7,4,2,5,6]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[7,5,1,6,2,3,4]=>[1,3,7,2,6,5,4]=>[[1,2,3],[4,5],[6],[7]]=>[4,3]
[7,5,1,6,2,4,3]=>[1,3,7,2,6,4,5]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,5,1,6,3,2,4]=>[1,3,7,2,5,6,4]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,5,1,6,3,4,2]=>[1,3,7,2,5,4,6]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,5,1,6,4,2,3]=>[1,3,7,2,4,6,5]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,5,2,1,3,6,4]=>[1,3,6,7,5,2,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,5,2,1,4,3,6]=>[1,3,6,7,4,5,2]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,5,2,1,4,6,3]=>[1,3,6,7,4,2,5]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,5,2,1,6,3,4]=>[1,3,6,7,2,5,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[7,5,2,3,1,4,6]=>[1,3,6,5,7,4,2]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,5,2,3,1,6,4]=>[1,3,6,5,7,2,4]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,5,2,3,4,1,6]=>[1,3,6,5,4,7,2]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,5,2,3,4,6,1]=>[1,3,6,5,4,2,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[7,5,2,3,6,1,4]=>[1,3,6,5,2,7,4]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,5,2,3,6,4,1]=>[1,3,6,5,2,4,7]=>[[1,2,3,7],[4,6],[5]]=>[5,2]
[7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,5,2,4,1,6,3]=>[1,3,6,4,7,2,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,5,2,4,3,1,6]=>[1,3,6,4,5,7,2]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[7,5,2,4,3,6,1]=>[1,3,6,4,5,2,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[7,5,2,4,6,1,3]=>[1,3,6,4,2,7,5]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[7,5,2,6,1,3,4]=>[1,3,6,2,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[7,5,2,6,3,1,4]=>[1,3,6,2,5,7,4]=>[[1,2,3,6],[4,5],[7]]=>[4,3]
[7,5,2,6,3,4,1]=>[1,3,6,2,5,4,7]=>[[1,2,3,7],[4,5],[6]]=>[4,2,1]
[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,5,3,1,2,6,4]=>[1,3,5,7,6,2,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,5,3,1,4,2,6]=>[1,3,5,7,4,6,2]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,5,3,1,4,6,2]=>[1,3,5,7,4,2,6]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,5,3,1,6,2,4]=>[1,3,5,7,2,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>[[1,2,3,4],[5,6,7]]=>[5,2]
[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,5,3,2,1,6,4]=>[1,3,5,6,7,2,4]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[7,5,3,2,4,1,6]=>[1,3,5,6,4,7,2]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,5,3,2,4,6,1]=>[1,3,5,6,4,2,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[7,5,3,2,6,4,1]=>[1,3,5,6,2,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[7,5,3,4,1,2,6]=>[1,3,5,4,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,5,3,4,1,6,2]=>[1,3,5,4,7,2,6]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,5,3,4,2,1,6]=>[1,3,5,4,6,7,2]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[7,5,3,4,6,1,2]=>[1,3,5,4,2,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,5,3,4,6,2,1]=>[1,3,5,4,2,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[7,5,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>[[1,2,3,5],[4,6,7]]=>[4,2,1]
[7,5,3,6,2,1,4]=>[1,3,5,2,6,7,4]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[7,5,3,6,4,1,2]=>[1,3,5,2,4,7,6]=>[[1,2,3,6],[4,5,7]]=>[4,3]
[7,5,3,6,4,2,1]=>[1,3,5,2,4,6,7]=>[[1,2,3,6,7],[4,5]]=>[4,3]
[7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,5,4,1,2,6,3]=>[1,3,4,7,6,2,5]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,5,4,1,3,2,6]=>[1,3,4,7,5,6,2]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,5,4,1,3,6,2]=>[1,3,4,7,5,2,6]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[7,5,4,1,6,2,3]=>[1,3,4,7,2,6,5]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,5,4,2,1,6,3]=>[1,3,4,6,7,2,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[7,5,4,2,3,1,6]=>[1,3,4,6,5,7,2]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,5,4,2,3,6,1]=>[1,3,4,6,5,2,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[7,5,4,2,6,3,1]=>[1,3,4,6,2,5,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>[[1,2,3,4,5,6],[7]]=>[7]
[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[[1,2,3,4,5,7],[6]]=>[6,1]
[7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]=>[[1,2,3,4,6,7],[5]]=>[5,2]
[7,5,4,6,1,2,3]=>[1,3,4,2,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,5,4,6,1,3,2]=>[1,3,4,2,7,5,6]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[7,5,4,6,2,1,3]=>[1,3,4,2,6,7,5]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[7,5,4,6,2,3,1]=>[1,3,4,2,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[7,5,4,6,3,1,2]=>[1,3,4,2,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[4,3]
[7,5,6,1,2,3,4]=>[1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[3,4]
[7,5,6,1,2,4,3]=>[1,3,2,7,6,4,5]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,5,6,1,3,2,4]=>[1,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,5,6,1,3,4,2]=>[1,3,2,7,5,4,6]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,5,6,1,4,2,3]=>[1,3,2,7,4,6,5]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[7,5,6,2,1,3,4]=>[1,3,2,6,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,5,6,2,1,4,3]=>[1,3,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[7,5,6,2,3,1,4]=>[1,3,2,6,5,7,4]=>[[1,2,4,6],[3,5],[7]]=>[3,2,2]
[7,5,6,2,3,4,1]=>[1,3,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[3,3,1]
[7,5,6,2,4,1,3]=>[1,3,2,6,4,7,5]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[7,5,6,2,4,3,1]=>[1,3,2,6,4,5,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[7,5,6,3,1,2,4]=>[1,3,2,5,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,5,6,3,1,4,2]=>[1,3,2,5,7,4,6]=>[[1,2,4,5],[3,6,7]]=>[3,3,1]
[7,5,6,3,2,1,4]=>[1,3,2,5,6,7,4]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[7,5,6,3,2,4,1]=>[1,3,2,5,6,4,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[3,2,2]
[7,5,6,3,4,2,1]=>[1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[3,2,2]
[7,5,6,4,1,2,3]=>[1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[3,4]
[7,5,6,4,1,3,2]=>[1,3,2,4,7,5,6]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[7,5,6,4,2,1,3]=>[1,3,2,4,6,7,5]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>[3,3,1]
[7,5,6,4,3,1,2]=>[1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>[3,4]
[7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[3,4]
[7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[7]
[7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,6,1,2,4,5,3]=>[1,2,7,6,4,3,5]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[7,6,1,2,5,3,4]=>[1,2,7,6,3,5,4]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,6,1,3,4,2,5]=>[1,2,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,6,1,3,4,5,2]=>[1,2,7,5,4,3,6]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,6,1,3,5,4,2]=>[1,2,7,5,3,4,6]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,6,1,4,2,5,3]=>[1,2,7,4,6,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[7,6,1,4,3,5,2]=>[1,2,7,4,5,3,6]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[7,6,1,4,5,2,3]=>[1,2,7,4,3,6,5]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,6,1,4,5,3,2]=>[1,2,7,4,3,5,6]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[7,6,1,5,3,4,2]=>[1,2,7,3,5,4,6]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[7,6,1,5,4,2,3]=>[1,2,7,3,4,6,5]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>[[1,2,3,5,6,7],[4]]=>[4,3]
[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,6,2,1,4,3,5]=>[1,2,6,7,4,5,3]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,6,2,1,4,5,3]=>[1,2,6,7,4,3,5]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,6,2,1,5,3,4]=>[1,2,6,7,3,5,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[7,6,2,3,1,4,5]=>[1,2,6,5,7,4,3]=>[[1,2,3,5],[4],[6],[7]]=>[4,3]
[7,6,2,3,1,5,4]=>[1,2,6,5,7,3,4]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,6,2,3,4,1,5]=>[1,2,6,5,4,7,3]=>[[1,2,3,6],[4],[5],[7]]=>[5,2]
[7,6,2,3,4,5,1]=>[1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[6,1]
[7,6,2,3,5,1,4]=>[1,2,6,5,3,7,4]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,6,2,3,5,4,1]=>[1,2,6,5,3,4,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,6,2,4,1,5,3]=>[1,2,6,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,6,2,4,3,1,5]=>[1,2,6,4,5,7,3]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[7,6,2,4,3,5,1]=>[1,2,6,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[7,6,2,4,5,1,3]=>[1,2,6,4,3,7,5]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,6,2,4,5,3,1]=>[1,2,6,4,3,5,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[7,6,2,5,1,3,4]=>[1,2,6,3,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[7,6,2,5,3,1,4]=>[1,2,6,3,5,7,4]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[7,6,2,5,3,4,1]=>[1,2,6,3,5,4,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>[[1,2,3,5,6,7],[4]]=>[4,3]
[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,6,3,1,4,2,5]=>[1,2,5,7,4,6,3]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,6,3,1,4,5,2]=>[1,2,5,7,4,3,6]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,6,3,1,5,2,4]=>[1,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[7,6,3,2,4,1,5]=>[1,2,5,6,4,7,3]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,6,3,2,4,5,1]=>[1,2,5,6,4,3,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[7,6,3,2,5,4,1]=>[1,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[7,6,3,4,1,2,5]=>[1,2,5,4,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,6,3,4,1,5,2]=>[1,2,5,4,7,3,6]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1]
[7,6,3,4,2,1,5]=>[1,2,5,4,6,7,3]=>[[1,2,3,5,6],[4],[7]]=>[4,3]
[7,6,3,4,2,5,1]=>[1,2,5,4,6,3,7]=>[[1,2,3,5,7],[4],[6]]=>[4,2,1]
[7,6,3,4,5,1,2]=>[1,2,5,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[5,2]
[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[5,2]
[7,6,3,5,1,2,4]=>[1,2,5,3,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[[1,2,3,5,6,7],[4]]=>[4,3]
[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>[[1,2,3,4],[5],[6],[7]]=>[7]
[7,6,4,1,2,5,3]=>[1,2,4,7,6,3,5]=>[[1,2,3,4],[5,7],[6]]=>[6,1]
[7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,6,4,1,3,5,2]=>[1,2,4,7,5,3,6]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[7,6,4,1,5,2,3]=>[1,2,4,7,3,6,5]=>[[1,2,3,4],[5,6],[7]]=>[5,2]
[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[7,6,4,2,3,1,5]=>[1,2,4,6,5,7,3]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,6,4,2,3,5,1]=>[1,2,4,6,5,3,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[7,6,4,2,5,3,1]=>[1,2,4,6,3,5,7]=>[[1,2,3,4,7],[5,6]]=>[5,2]
[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>[[1,2,3,4,5,6],[7]]=>[7]
[7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>[[1,2,3,4,5,7],[6]]=>[6,1]
[7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[[1,2,3,4,6,7],[5]]=>[5,2]
[7,6,4,5,1,2,3]=>[1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[4,3]
[7,6,4,5,1,3,2]=>[1,2,4,3,7,5,6]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[4,2,1]
[7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[4,3]
[7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[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]=>[1,2,3,7,6,4,5]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,6,5,1,3,4,2]=>[1,2,3,7,5,4,6]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[7,6,5,1,4,2,3]=>[1,2,3,7,4,6,5]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>[[1,2,3,4,6,7],[5]]=>[5,2]
[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[7,6,5,2,3,1,4]=>[1,2,3,6,5,7,4]=>[[1,2,3,4,6],[5],[7]]=>[5,2]
[7,6,5,2,3,4,1]=>[1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[6,1]
[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]=>[[1,2,3,4,6,7],[5]]=>[5,2]
[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>[[1,2,3,4,5],[6,7]]=>[6,1]
[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>[[1,2,3,4,5,6],[7]]=>[7]
[7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>[[1,2,3,4,5,7],[6]]=>[6,1]
[7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>[[1,2,3,4,6],[5,7]]=>[5,2]
[7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[5,2]
[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]=>[7]
[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>[[1,2,3,4,5,7],[6]]=>[6,1]
[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>[[1,2,3,4,5,6],[7]]=>[7]
[7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6]]=>[6,1]
[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]=>[7]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>[7]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8]]=>[8]
[7,8,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[8,6,7,5,4,3,2,1]=>[1,3,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[7,6,8,5,4,3,2,1]=>[2,3,1,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[6,7,8,5,4,3,2,1]=>[3,2,1,4,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[8,7,5,6,4,3,2,1]=>[1,2,4,3,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,4]
[7,8,5,6,4,3,2,1]=>[2,1,4,3,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[8,6,5,7,4,3,2,1]=>[1,3,4,2,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,4]
[8,5,6,7,4,3,2,1]=>[1,4,3,2,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[7,6,5,8,4,3,2,1]=>[2,3,4,1,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,4]
[6,7,5,8,4,3,2,1]=>[3,2,4,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[7,5,6,8,4,3,2,1]=>[2,4,3,1,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[6,5,7,8,4,3,2,1]=>[3,4,2,1,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[5,6,7,8,4,3,2,1]=>[4,3,2,1,5,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,3]
[8,6,7,4,5,3,2,1]=>[1,3,2,5,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[7,6,8,4,5,3,2,1]=>[2,3,1,5,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[6,7,8,4,5,3,2,1]=>[3,2,1,5,4,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[7,8,5,4,6,3,2,1]=>[2,1,4,5,3,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[8,7,4,5,6,3,2,1]=>[1,2,5,4,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[7,8,4,5,6,3,2,1]=>[2,1,5,4,3,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[8,6,5,4,7,3,2,1]=>[1,3,4,5,2,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,3]
[8,5,4,6,7,3,2,1]=>[1,4,5,3,2,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[8,4,5,6,7,3,2,1]=>[1,5,4,3,2,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[7,6,5,4,8,3,2,1]=>[2,3,4,5,1,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,3]
[6,7,5,4,8,3,2,1]=>[3,2,4,5,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[7,5,6,4,8,3,2,1]=>[2,4,3,5,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[6,5,7,4,8,3,2,1]=>[3,4,2,5,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[5,6,7,4,8,3,2,1]=>[4,3,2,5,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[7,6,4,5,8,3,2,1]=>[2,3,5,4,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[6,7,4,5,8,3,2,1]=>[3,2,5,4,1,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,5,4,6,8,3,2,1]=>[2,4,5,3,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[7,4,5,6,8,3,2,1]=>[2,5,4,3,1,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[6,5,4,7,8,3,2,1]=>[3,4,5,2,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[5,6,4,7,8,3,2,1]=>[4,3,5,2,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[6,4,5,7,8,3,2,1]=>[3,5,4,2,1,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[5,4,6,7,8,3,2,1]=>[4,5,3,2,1,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,5,6,7,8,3,2,1]=>[5,4,3,2,1,6,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[8,7,6,5,3,4,2,1]=>[1,2,3,4,6,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[7,8,6,5,3,4,2,1]=>[2,1,3,4,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[8,6,7,5,3,4,2,1]=>[1,3,2,4,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[7,8,5,6,3,4,2,1]=>[2,1,4,3,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[7,6,5,8,3,4,2,1]=>[2,3,4,1,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[6,7,5,8,3,4,2,1]=>[3,2,4,1,6,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[7,5,6,8,3,4,2,1]=>[2,4,3,1,6,5,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[5,6,7,8,3,4,2,1]=>[4,3,2,1,6,5,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[8,7,6,4,3,5,2,1]=>[1,2,3,5,6,4,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[8,6,7,4,3,5,2,1]=>[1,3,2,5,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[7,6,8,4,3,5,2,1]=>[2,3,1,5,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[6,7,8,4,3,5,2,1]=>[3,2,1,5,6,4,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[8,7,6,3,4,5,2,1]=>[1,2,3,6,5,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[8,6,7,3,4,5,2,1]=>[1,3,2,6,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[7,6,8,3,4,5,2,1]=>[2,3,1,6,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[6,7,8,3,4,5,2,1]=>[3,2,1,6,5,4,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[8,7,5,3,4,6,2,1]=>[1,2,4,6,5,3,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[7,8,5,3,4,6,2,1]=>[2,1,4,6,5,3,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[7,8,4,3,5,6,2,1]=>[2,1,5,6,4,3,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[8,6,5,4,3,7,2,1]=>[1,3,4,5,6,2,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[8,5,6,4,3,7,2,1]=>[1,4,3,5,6,2,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[8,5,4,6,3,7,2,1]=>[1,4,5,3,6,2,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[8,4,5,6,3,7,2,1]=>[1,5,4,3,6,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[8,5,6,3,4,7,2,1]=>[1,4,3,6,5,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,6,4,3,5,7,2,1]=>[1,3,5,6,4,2,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[8,5,4,3,6,7,2,1]=>[1,4,5,6,3,2,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[8,4,5,3,6,7,2,1]=>[1,5,4,6,3,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[8,5,3,4,6,7,2,1]=>[1,4,6,5,3,2,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[8,4,3,5,6,7,2,1]=>[1,5,6,4,3,2,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[8,3,4,5,6,7,2,1]=>[1,6,5,4,3,2,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[7,6,5,4,3,8,2,1]=>[2,3,4,5,6,1,7,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[6,7,5,4,3,8,2,1]=>[3,2,4,5,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[6,5,7,4,3,8,2,1]=>[3,4,2,5,6,1,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[5,6,7,4,3,8,2,1]=>[4,3,2,5,6,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[7,6,4,5,3,8,2,1]=>[2,3,5,4,6,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[6,5,4,7,3,8,2,1]=>[3,4,5,2,6,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[5,6,4,7,3,8,2,1]=>[4,3,5,2,6,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[6,4,5,7,3,8,2,1]=>[3,5,4,2,6,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[5,4,6,7,3,8,2,1]=>[4,5,3,2,6,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[4,5,6,7,3,8,2,1]=>[5,4,3,2,6,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[7,6,5,3,4,8,2,1]=>[2,3,4,6,5,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[7,5,6,3,4,8,2,1]=>[2,4,3,6,5,1,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[5,6,7,3,4,8,2,1]=>[4,3,2,6,5,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,6,4,3,5,8,2,1]=>[2,3,5,6,4,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[7,6,3,4,5,8,2,1]=>[2,3,6,5,4,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[7,5,4,3,6,8,2,1]=>[2,4,5,6,3,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[7,5,3,4,6,8,2,1]=>[2,4,6,5,3,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[6,5,4,3,7,8,2,1]=>[3,4,5,6,2,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[4,5,6,3,7,8,2,1]=>[5,4,3,6,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[5,6,3,4,7,8,2,1]=>[4,3,6,5,2,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[6,3,4,5,7,8,2,1]=>[3,6,5,4,2,1,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[5,4,3,6,7,8,2,1]=>[4,5,6,3,2,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[4,5,3,6,7,8,2,1]=>[5,4,6,3,2,1,7,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[4,3,5,6,7,8,2,1]=>[5,6,4,3,2,1,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[3,4,5,6,7,8,2,1]=>[6,5,4,3,2,1,7,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[7,8,6,5,4,2,3,1]=>[2,1,3,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[7,6,8,5,4,2,3,1]=>[2,3,1,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[8,7,5,6,4,2,3,1]=>[1,2,4,3,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[8,6,5,7,4,2,3,1]=>[1,3,4,2,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[8,5,6,7,4,2,3,1]=>[1,4,3,2,5,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[7,6,5,8,4,2,3,1]=>[2,3,4,1,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[6,7,5,8,4,2,3,1]=>[3,2,4,1,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[5,6,7,8,4,2,3,1]=>[4,3,2,1,5,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[8,7,6,4,5,2,3,1]=>[1,2,3,5,4,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[7,6,8,4,5,2,3,1]=>[2,3,1,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[6,7,8,4,5,2,3,1]=>[3,2,1,5,4,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[8,7,5,4,6,2,3,1]=>[1,2,4,5,3,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[7,8,4,5,6,2,3,1]=>[2,1,5,4,3,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[8,6,5,4,7,2,3,1]=>[1,3,4,5,2,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[8,5,6,4,7,2,3,1]=>[1,4,3,5,2,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,6,4,5,7,2,3,1]=>[1,3,5,4,2,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,5,4,6,7,2,3,1]=>[1,4,5,3,2,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,4,5,6,7,2,3,1]=>[1,5,4,3,2,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,6,5,4,8,2,3,1]=>[2,3,4,5,1,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[7,5,6,4,8,2,3,1]=>[2,4,3,5,1,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[6,5,7,4,8,2,3,1]=>[3,4,2,5,1,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,6,4,5,8,2,3,1]=>[2,3,5,4,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,7,4,5,8,2,3,1]=>[3,2,5,4,1,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,5,4,6,8,2,3,1]=>[2,4,5,3,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[7,4,5,6,8,2,3,1]=>[2,5,4,3,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,5,4,7,8,2,3,1]=>[3,4,5,2,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,4,5,7,8,2,3,1]=>[3,5,4,2,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,4,6,7,8,2,3,1]=>[4,5,3,2,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[4,5,6,7,8,2,3,1]=>[5,4,3,2,1,7,6,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[8,7,6,5,3,2,4,1]=>[1,2,3,4,6,7,5,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[7,6,8,5,3,2,4,1]=>[2,3,1,4,6,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[8,7,5,6,3,2,4,1]=>[1,2,4,3,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[8,5,6,7,3,2,4,1]=>[1,4,3,2,6,7,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[7,6,5,8,3,2,4,1]=>[2,3,4,1,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[6,7,5,8,3,2,4,1]=>[3,2,4,1,6,7,5,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[5,6,7,8,3,2,4,1]=>[4,3,2,1,6,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[8,7,6,5,2,3,4,1]=>[1,2,3,4,7,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[8,6,7,5,2,3,4,1]=>[1,3,2,4,7,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[6,7,8,5,2,3,4,1]=>[3,2,1,4,7,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[7,6,5,8,2,3,4,1]=>[2,3,4,1,7,6,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[6,7,5,8,2,3,4,1]=>[3,2,4,1,7,6,5,8]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[5,6,7,8,2,3,4,1]=>[4,3,2,1,7,6,5,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[8,7,6,4,3,2,5,1]=>[1,2,3,5,6,7,4,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[8,6,7,4,3,2,5,1]=>[1,3,2,5,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[7,6,8,4,3,2,5,1]=>[2,3,1,5,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[8,7,6,3,4,2,5,1]=>[1,2,3,6,5,7,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[8,6,7,3,4,2,5,1]=>[1,3,2,6,5,7,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,6,8,3,4,2,5,1]=>[2,3,1,6,5,7,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,7,6,4,2,3,5,1]=>[1,2,3,5,7,6,4,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[8,6,7,4,2,3,5,1]=>[1,3,2,5,7,6,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[6,7,8,4,2,3,5,1]=>[3,2,1,5,7,6,4,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[8,7,6,3,2,4,5,1]=>[1,2,3,6,7,5,4,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[7,8,6,3,2,4,5,1]=>[2,1,3,6,7,5,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[8,6,7,3,2,4,5,1]=>[1,3,2,6,7,5,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[7,6,8,3,2,4,5,1]=>[2,3,1,6,7,5,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[8,7,6,2,3,4,5,1]=>[1,2,3,7,6,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,6,7,2,3,4,5,1]=>[1,3,2,7,6,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,7,8,2,3,4,5,1]=>[3,2,1,7,6,5,4,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[8,7,5,4,3,2,6,1]=>[1,2,4,5,6,7,3,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[7,8,5,4,3,2,6,1]=>[2,1,4,5,6,7,3,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[8,7,4,5,3,2,6,1]=>[1,2,5,4,6,7,3,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[8,7,4,3,5,2,6,1]=>[1,2,5,6,4,7,3,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[8,7,5,3,2,4,6,1]=>[1,2,4,6,7,5,3,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[8,7,4,3,2,5,6,1]=>[1,2,5,6,7,4,3,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[7,8,4,3,2,5,6,1]=>[2,1,5,6,7,4,3,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[8,7,4,2,3,5,6,1]=>[1,2,5,7,6,4,3,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,7,3,2,4,5,6,1]=>[1,2,6,7,5,4,3,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[7,8,3,2,4,5,6,1]=>[2,1,6,7,5,4,3,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[8,7,2,3,4,5,6,1]=>[1,2,7,6,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,8,2,3,4,5,6,1]=>[2,1,7,6,5,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[8,5,4,6,3,2,7,1]=>[1,4,5,3,6,7,2,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[8,4,5,6,3,2,7,1]=>[1,5,4,3,6,7,2,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[8,5,6,3,4,2,7,1]=>[1,4,3,6,5,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[8,4,5,3,6,2,7,1]=>[1,5,4,6,3,7,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[8,6,5,4,2,3,7,1]=>[1,3,4,5,7,6,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[8,6,4,5,2,3,7,1]=>[1,3,5,4,7,6,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,6,5,3,2,4,7,1]=>[1,3,4,6,7,5,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[8,6,4,3,2,5,7,1]=>[1,3,5,6,7,4,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[8,6,3,4,2,5,7,1]=>[1,3,6,5,7,4,2,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[8,6,4,2,3,5,7,1]=>[1,3,5,7,6,4,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[8,4,5,3,2,6,7,1]=>[1,5,4,6,7,3,2,8]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[8,4,3,5,2,6,7,1]=>[1,5,6,4,7,3,2,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[8,5,3,2,4,6,7,1]=>[1,4,6,7,5,3,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,5,2,3,4,6,7,1]=>[1,4,7,6,5,3,2,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,3,4,2,5,6,7,1]=>[1,6,5,7,4,3,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[7,6,5,4,3,2,8,1]=>[2,3,4,5,6,7,1,8]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[6,7,5,4,3,2,8,1]=>[3,2,4,5,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[6,5,7,4,3,2,8,1]=>[3,4,2,5,6,7,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[5,6,7,4,3,2,8,1]=>[4,3,2,5,6,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[7,6,4,5,3,2,8,1]=>[2,3,5,4,6,7,1,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[7,4,5,6,3,2,8,1]=>[2,5,4,3,6,7,1,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[6,5,4,7,3,2,8,1]=>[3,4,5,2,6,7,1,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[6,4,5,7,3,2,8,1]=>[3,5,4,2,6,7,1,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[4,5,6,7,3,2,8,1]=>[5,4,3,2,6,7,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[7,6,5,3,4,2,8,1]=>[2,3,4,6,5,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[7,5,6,3,4,2,8,1]=>[2,4,3,6,5,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[6,5,7,3,4,2,8,1]=>[3,4,2,6,5,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[5,6,7,3,4,2,8,1]=>[4,3,2,6,5,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,6,4,3,5,2,8,1]=>[2,3,5,6,4,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[6,7,3,4,5,2,8,1]=>[3,2,6,5,4,7,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[7,4,5,3,6,2,8,1]=>[2,5,4,6,3,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[6,5,4,3,7,2,8,1]=>[3,4,5,6,2,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[5,6,4,3,7,2,8,1]=>[4,3,5,6,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[6,4,5,3,7,2,8,1]=>[3,5,4,6,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[5,4,6,3,7,2,8,1]=>[4,5,3,6,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[4,5,6,3,7,2,8,1]=>[5,4,3,6,2,7,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[6,5,3,4,7,2,8,1]=>[3,4,6,5,2,7,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[6,4,3,5,7,2,8,1]=>[3,5,6,4,2,7,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[6,3,4,5,7,2,8,1]=>[3,6,5,4,2,7,1,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[4,5,3,6,7,2,8,1]=>[5,4,6,3,2,7,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[4,3,5,6,7,2,8,1]=>[5,6,4,3,2,7,1,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[3,4,5,6,7,2,8,1]=>[6,5,4,3,2,7,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[7,6,5,4,2,3,8,1]=>[2,3,4,5,7,6,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[6,5,7,4,2,3,8,1]=>[3,4,2,5,7,6,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[5,6,7,4,2,3,8,1]=>[4,3,2,5,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[6,7,4,5,2,3,8,1]=>[3,2,5,4,7,6,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[6,5,4,7,2,3,8,1]=>[3,4,5,2,7,6,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[5,6,4,7,2,3,8,1]=>[4,3,5,2,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[6,4,5,7,2,3,8,1]=>[3,5,4,2,7,6,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[5,4,6,7,2,3,8,1]=>[4,5,3,2,7,6,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[4,5,6,7,2,3,8,1]=>[5,4,3,2,7,6,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[7,6,5,3,2,4,8,1]=>[2,3,4,6,7,5,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[6,7,5,3,2,4,8,1]=>[3,2,4,6,7,5,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[6,5,7,3,2,4,8,1]=>[3,4,2,6,7,5,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[5,6,7,3,2,4,8,1]=>[4,3,2,6,7,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[7,6,5,2,3,4,8,1]=>[2,3,4,7,6,5,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[6,5,7,2,3,4,8,1]=>[3,4,2,7,6,5,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,6,4,3,2,5,8,1]=>[2,3,5,6,7,4,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[6,7,4,3,2,5,8,1]=>[3,2,5,6,7,4,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[7,6,3,4,2,5,8,1]=>[2,3,6,5,7,4,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[6,7,3,4,2,5,8,1]=>[3,2,6,5,7,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[7,6,4,2,3,5,8,1]=>[2,3,5,7,6,4,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[6,7,4,2,3,5,8,1]=>[3,2,5,7,6,4,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,6,3,2,4,5,8,1]=>[2,3,6,7,5,4,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[6,7,3,2,4,5,8,1]=>[3,2,6,7,5,4,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,6,2,3,4,5,8,1]=>[2,3,7,6,5,4,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[6,7,2,3,4,5,8,1]=>[3,2,7,6,5,4,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[7,5,4,3,2,6,8,1]=>[2,4,5,6,7,3,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[7,4,5,3,2,6,8,1]=>[2,5,4,6,7,3,1,8]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[7,4,3,5,2,6,8,1]=>[2,5,6,4,7,3,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[7,4,5,2,3,6,8,1]=>[2,5,4,7,6,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,5,3,2,4,6,8,1]=>[2,4,6,7,5,3,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[7,4,3,2,5,6,8,1]=>[2,5,6,7,4,3,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[7,4,2,3,5,6,8,1]=>[2,5,7,6,4,3,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,3,2,4,5,6,8,1]=>[2,6,7,5,4,3,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,2,3,4,5,6,8,1]=>[2,7,6,5,4,3,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[6,5,4,3,2,7,8,1]=>[3,4,5,6,7,2,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[4,5,6,3,2,7,8,1]=>[5,4,3,6,7,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[5,6,3,4,2,7,8,1]=>[4,3,6,5,7,2,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,4,3,5,2,7,8,1]=>[3,5,6,4,7,2,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[6,3,4,5,2,7,8,1]=>[3,6,5,4,7,2,1,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[4,5,3,6,2,7,8,1]=>[5,4,6,3,7,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[4,3,5,6,2,7,8,1]=>[5,6,4,3,7,2,1,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[3,4,5,6,2,7,8,1]=>[6,5,4,3,7,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[5,6,4,2,3,7,8,1]=>[4,3,5,7,6,2,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[6,4,5,2,3,7,8,1]=>[3,5,4,7,6,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[5,4,6,2,3,7,8,1]=>[4,5,3,7,6,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[4,5,6,2,3,7,8,1]=>[5,4,3,7,6,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[6,5,2,3,4,7,8,1]=>[3,4,7,6,5,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[5,6,2,3,4,7,8,1]=>[4,3,7,6,5,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[6,4,3,2,5,7,8,1]=>[3,5,6,7,4,2,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[6,4,2,3,5,7,8,1]=>[3,5,7,6,4,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[5,4,3,2,6,7,8,1]=>[4,5,6,7,3,2,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[4,5,3,2,6,7,8,1]=>[5,4,6,7,3,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[5,3,4,2,6,7,8,1]=>[4,6,5,7,3,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[4,3,5,2,6,7,8,1]=>[5,6,4,7,3,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[3,4,5,2,6,7,8,1]=>[6,5,4,7,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[5,4,2,3,6,7,8,1]=>[4,5,7,6,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[4,5,2,3,6,7,8,1]=>[5,4,7,6,3,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[5,3,2,4,6,7,8,1]=>[4,6,7,5,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[5,2,3,4,6,7,8,1]=>[4,7,6,5,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[4,3,2,5,6,7,8,1]=>[5,6,7,4,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[3,4,2,5,6,7,8,1]=>[6,5,7,4,3,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[4,2,3,5,6,7,8,1]=>[5,7,6,4,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[3,2,4,5,6,7,8,1]=>[6,7,5,4,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[2,3,4,5,6,7,8,1]=>[7,6,5,4,3,2,1,8]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[8,6,7,5,4,3,1,2]=>[1,3,2,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[7,6,8,5,4,3,1,2]=>[2,3,1,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[6,7,8,5,4,3,1,2]=>[3,2,1,4,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,7,5,6,4,3,1,2]=>[1,2,4,3,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[7,8,5,6,4,3,1,2]=>[2,1,4,3,5,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,6,5,7,4,3,1,2]=>[1,3,4,2,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[8,5,6,7,4,3,1,2]=>[1,4,3,2,5,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,6,5,8,4,3,1,2]=>[2,3,4,1,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[6,7,5,8,4,3,1,2]=>[3,2,4,1,5,6,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[5,6,7,8,4,3,1,2]=>[4,3,2,1,5,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,7,6,4,5,3,1,2]=>[1,2,3,5,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[7,8,5,4,6,3,1,2]=>[2,1,4,5,3,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[8,7,4,5,6,3,1,2]=>[1,2,5,4,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,6,4,5,7,3,1,2]=>[1,3,5,4,2,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,5,4,6,7,3,1,2]=>[1,4,5,3,2,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[7,6,5,4,8,3,1,2]=>[2,3,4,5,1,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[7,5,6,4,8,3,1,2]=>[2,4,3,5,1,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[7,6,4,5,8,3,1,2]=>[2,3,5,4,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[6,7,4,5,8,3,1,2]=>[3,2,5,4,1,6,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,5,4,6,8,3,1,2]=>[2,4,5,3,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[7,4,5,6,8,3,1,2]=>[2,5,4,3,1,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,5,4,7,8,3,1,2]=>[3,4,5,2,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[5,6,4,7,8,3,1,2]=>[4,3,5,2,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,4,6,7,8,3,1,2]=>[4,5,3,2,1,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[4,5,6,7,8,3,1,2]=>[5,4,3,2,1,6,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,7,6,5,3,4,1,2]=>[1,2,3,4,6,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[7,8,6,5,3,4,1,2]=>[2,1,3,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[8,6,7,5,3,4,1,2]=>[1,3,2,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[7,6,8,5,3,4,1,2]=>[2,3,1,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[8,7,5,6,3,4,1,2]=>[1,2,4,3,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[8,6,5,7,3,4,1,2]=>[1,3,4,2,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[7,6,5,8,3,4,1,2]=>[2,3,4,1,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[6,7,5,8,3,4,1,2]=>[3,2,4,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[7,5,6,8,3,4,1,2]=>[2,4,3,1,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[6,5,7,8,3,4,1,2]=>[3,4,2,1,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[5,6,7,8,3,4,1,2]=>[4,3,2,1,6,5,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[8,7,6,4,3,5,1,2]=>[1,2,3,5,6,4,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[7,8,6,4,3,5,1,2]=>[2,1,3,5,6,4,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[8,6,7,4,3,5,1,2]=>[1,3,2,5,6,4,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[8,7,6,3,4,5,1,2]=>[1,2,3,6,5,4,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,6,7,3,4,5,1,2]=>[1,3,2,6,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,6,8,3,4,5,1,2]=>[2,3,1,6,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[6,7,8,3,4,5,1,2]=>[3,2,1,6,5,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[8,7,5,4,3,6,1,2]=>[1,2,4,5,6,3,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[7,8,4,5,3,6,1,2]=>[2,1,5,4,6,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[7,8,5,3,4,6,1,2]=>[2,1,4,6,5,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[8,6,5,4,3,7,1,2]=>[1,3,4,5,6,2,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[8,6,3,4,5,7,1,2]=>[1,3,6,5,4,2,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,4,5,3,6,7,1,2]=>[1,5,4,6,3,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,4,3,5,6,7,1,2]=>[1,5,6,4,3,2,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,3,4,5,6,7,1,2]=>[1,6,5,4,3,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[7,6,5,4,3,8,1,2]=>[2,3,4,5,6,1,8,7]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[7,5,6,4,3,8,1,2]=>[2,4,3,5,6,1,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[6,5,7,4,3,8,1,2]=>[3,4,2,5,6,1,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,6,7,4,3,8,1,2]=>[4,3,2,5,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,7,4,5,3,8,1,2]=>[3,2,5,4,6,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[7,5,4,6,3,8,1,2]=>[2,4,5,3,6,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[7,4,5,6,3,8,1,2]=>[2,5,4,3,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,5,4,7,3,8,1,2]=>[3,4,5,2,6,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[5,6,4,7,3,8,1,2]=>[4,3,5,2,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[6,4,5,7,3,8,1,2]=>[3,5,4,2,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,4,6,7,3,8,1,2]=>[4,5,3,2,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,5,6,7,3,8,1,2]=>[5,4,3,2,6,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[7,5,6,3,4,8,1,2]=>[2,4,3,6,5,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[6,5,7,3,4,8,1,2]=>[3,4,2,6,5,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[5,6,7,3,4,8,1,2]=>[4,3,2,6,5,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[7,6,4,3,5,8,1,2]=>[2,3,5,6,4,1,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,7,4,3,5,8,1,2]=>[3,2,5,6,4,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[7,6,3,4,5,8,1,2]=>[2,3,6,5,4,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[6,7,3,4,5,8,1,2]=>[3,2,6,5,4,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[7,5,3,4,6,8,1,2]=>[2,4,6,5,3,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,3,4,5,6,8,1,2]=>[2,6,5,4,3,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[6,5,4,3,7,8,1,2]=>[3,4,5,6,2,1,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[5,6,4,3,7,8,1,2]=>[4,3,5,6,2,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[5,4,6,3,7,8,1,2]=>[4,5,3,6,2,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[4,5,6,3,7,8,1,2]=>[5,4,3,6,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[6,5,3,4,7,8,1,2]=>[3,4,6,5,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[5,6,3,4,7,8,1,2]=>[4,3,6,5,2,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,4,3,5,7,8,1,2]=>[3,5,6,4,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[6,3,4,5,7,8,1,2]=>[3,6,5,4,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[5,4,3,6,7,8,1,2]=>[4,5,6,3,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[4,5,3,6,7,8,1,2]=>[5,4,6,3,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[5,3,4,6,7,8,1,2]=>[4,6,5,3,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[4,3,5,6,7,8,1,2]=>[5,6,4,3,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[3,4,5,6,7,8,1,2]=>[6,5,4,3,2,1,8,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[8,7,6,5,4,2,1,3]=>[1,2,3,4,5,7,8,6]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[7,8,6,5,4,2,1,3]=>[2,1,3,4,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[8,6,7,5,4,2,1,3]=>[1,3,2,4,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[6,7,8,5,4,2,1,3]=>[3,2,1,4,5,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,7,5,6,4,2,1,3]=>[1,2,4,3,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[7,8,5,6,4,2,1,3]=>[2,1,4,3,5,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,6,5,7,4,2,1,3]=>[1,3,4,2,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[8,5,6,7,4,2,1,3]=>[1,4,3,2,5,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,6,5,8,4,2,1,3]=>[2,3,4,1,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[6,7,5,8,4,2,1,3]=>[3,2,4,1,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[5,6,7,8,4,2,1,3]=>[4,3,2,1,5,7,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,7,6,4,5,2,1,3]=>[1,2,3,5,4,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[7,8,6,4,5,2,1,3]=>[2,1,3,5,4,7,8,6]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[8,6,7,4,5,2,1,3]=>[1,3,2,5,4,7,8,6]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[8,7,5,4,6,2,1,3]=>[1,2,4,5,3,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[8,7,4,5,6,2,1,3]=>[1,2,5,4,3,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,6,5,4,7,2,1,3]=>[1,3,4,5,2,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[8,6,4,5,7,2,1,3]=>[1,3,5,4,2,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,5,4,6,7,2,1,3]=>[1,4,5,3,2,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,4,5,6,7,2,1,3]=>[1,5,4,3,2,7,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[7,6,5,4,8,2,1,3]=>[2,3,4,5,1,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[7,5,6,4,8,2,1,3]=>[2,4,3,5,1,7,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[6,5,7,4,8,2,1,3]=>[3,4,2,5,1,7,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[5,6,7,4,8,2,1,3]=>[4,3,2,5,1,7,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[6,7,4,5,8,2,1,3]=>[3,2,5,4,1,7,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,5,4,6,8,2,1,3]=>[2,4,5,3,1,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[7,4,5,6,8,2,1,3]=>[2,5,4,3,1,7,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,4,5,7,8,2,1,3]=>[3,5,4,2,1,7,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[4,5,6,7,8,2,1,3]=>[5,4,3,2,1,7,8,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,8,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[7,8,6,5,4,1,2,3]=>[2,1,3,4,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,6,7,5,4,1,2,3]=>[1,3,2,4,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,7,5,6,4,1,2,3]=>[1,2,4,3,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,8,5,6,4,1,2,3]=>[2,1,4,3,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,5,6,7,4,1,2,3]=>[1,4,3,2,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[7,6,5,8,4,1,2,3]=>[2,3,4,1,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,7,5,8,4,1,2,3]=>[3,2,4,1,5,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[7,5,6,8,4,1,2,3]=>[2,4,3,1,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[5,6,7,8,4,1,2,3]=>[4,3,2,1,5,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[8,7,6,4,5,1,2,3]=>[1,2,3,5,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,8,6,4,5,1,2,3]=>[2,1,3,5,4,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,6,7,4,5,1,2,3]=>[1,3,2,5,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,7,5,4,6,1,2,3]=>[1,2,4,5,3,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,8,5,4,6,1,2,3]=>[2,1,4,5,3,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,7,4,5,6,1,2,3]=>[1,2,5,4,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[7,8,4,5,6,1,2,3]=>[2,1,5,4,3,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[8,6,5,4,7,1,2,3]=>[1,3,4,5,2,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,5,4,6,7,1,2,3]=>[1,4,5,3,2,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,4,5,6,7,1,2,3]=>[1,5,4,3,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[7,6,5,4,8,1,2,3]=>[2,3,4,5,1,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,7,5,4,8,1,2,3]=>[3,2,4,5,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[7,5,6,4,8,1,2,3]=>[2,4,3,5,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[6,5,7,4,8,1,2,3]=>[3,4,2,5,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[5,6,7,4,8,1,2,3]=>[4,3,2,5,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[7,6,4,5,8,1,2,3]=>[2,3,5,4,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,7,4,5,8,1,2,3]=>[3,2,5,4,1,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[7,5,4,6,8,1,2,3]=>[2,4,5,3,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[7,4,5,6,8,1,2,3]=>[2,5,4,3,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[6,5,4,7,8,1,2,3]=>[3,4,5,2,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[5,6,4,7,8,1,2,3]=>[4,3,5,2,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[6,4,5,7,8,1,2,3]=>[3,5,4,2,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[5,4,6,7,8,1,2,3]=>[4,5,3,2,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,5,6,7,8,1,2,3]=>[5,4,3,2,1,8,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[8,7,6,5,3,2,1,4]=>[1,2,3,4,6,7,8,5]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[7,8,6,5,3,2,1,4]=>[2,1,3,4,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[8,6,7,5,3,2,1,4]=>[1,3,2,4,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[7,6,8,5,3,2,1,4]=>[2,3,1,4,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[6,7,8,5,3,2,1,4]=>[3,2,1,4,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,7,5,6,3,2,1,4]=>[1,2,4,3,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[7,8,5,6,3,2,1,4]=>[2,1,4,3,6,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,6,5,7,3,2,1,4]=>[1,3,4,2,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[8,5,6,7,3,2,1,4]=>[1,4,3,2,6,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[6,7,5,8,3,2,1,4]=>[3,2,4,1,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[7,5,6,8,3,2,1,4]=>[2,4,3,1,6,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[6,5,7,8,3,2,1,4]=>[3,4,2,1,6,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[5,6,7,8,3,2,1,4]=>[4,3,2,1,6,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,7,6,5,2,3,1,4]=>[1,2,3,4,7,6,8,5]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[7,8,6,5,2,3,1,4]=>[2,1,3,4,7,6,8,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[8,6,7,5,2,3,1,4]=>[1,3,2,4,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[7,6,8,5,2,3,1,4]=>[2,3,1,4,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[8,7,5,6,2,3,1,4]=>[1,2,4,3,7,6,8,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,8,5,6,2,3,1,4]=>[2,1,4,3,7,6,8,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[8,6,5,7,2,3,1,4]=>[1,3,4,2,7,6,8,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,5,6,7,2,3,1,4]=>[1,4,3,2,7,6,8,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[7,6,5,8,2,3,1,4]=>[2,3,4,1,7,6,8,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[6,7,5,8,2,3,1,4]=>[3,2,4,1,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[6,5,7,8,2,3,1,4]=>[3,4,2,1,7,6,8,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,6,7,8,2,3,1,4]=>[4,3,2,1,7,6,8,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[8,7,6,5,3,1,2,4]=>[1,2,3,4,6,8,7,5]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[8,6,7,5,3,1,2,4]=>[1,3,2,4,6,8,7,5]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,7,8,5,3,1,2,4]=>[3,2,1,4,6,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,7,5,6,3,1,2,4]=>[1,2,4,3,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,8,5,6,3,1,2,4]=>[2,1,4,3,6,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,6,5,7,3,1,2,4]=>[1,3,4,2,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[8,5,6,7,3,1,2,4]=>[1,4,3,2,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[7,6,5,8,3,1,2,4]=>[2,3,4,1,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[7,5,6,8,3,1,2,4]=>[2,4,3,1,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[6,5,7,8,3,1,2,4]=>[3,4,2,1,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[5,6,7,8,3,1,2,4]=>[4,3,2,1,6,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[8,7,6,5,2,1,3,4]=>[1,2,3,4,7,8,6,5]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[7,8,6,5,2,1,3,4]=>[2,1,3,4,7,8,6,5]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,6,8,5,2,1,3,4]=>[2,3,1,4,7,8,6,5]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,7,8,5,2,1,3,4]=>[3,2,1,4,7,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,7,5,6,2,1,3,4]=>[1,2,4,3,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,8,5,6,2,1,3,4]=>[2,1,4,3,7,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,6,5,7,2,1,3,4]=>[1,3,4,2,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,6,5,8,2,1,3,4]=>[2,3,4,1,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,7,5,8,2,1,3,4]=>[3,2,4,1,7,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[7,5,6,8,2,1,3,4]=>[2,4,3,1,7,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[5,6,7,8,2,1,3,4]=>[4,3,2,1,7,8,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[8,7,6,5,1,2,3,4]=>[1,2,3,4,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,8,6,5,1,2,3,4]=>[2,1,3,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,6,7,5,1,2,3,4]=>[1,3,2,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,6,8,5,1,2,3,4]=>[2,3,1,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[6,7,8,5,1,2,3,4]=>[3,2,1,4,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,7,5,6,1,2,3,4]=>[1,2,4,3,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,8,5,6,1,2,3,4]=>[2,1,4,3,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,6,5,7,1,2,3,4]=>[1,3,4,2,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,5,6,7,1,2,3,4]=>[1,4,3,2,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[7,6,5,8,1,2,3,4]=>[2,3,4,1,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,7,5,8,1,2,3,4]=>[3,2,4,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[7,5,6,8,1,2,3,4]=>[2,4,3,1,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[6,5,7,8,1,2,3,4]=>[3,4,2,1,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[8,7,6,4,3,2,1,5]=>[1,2,3,5,6,7,8,4]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[7,8,6,4,3,2,1,5]=>[2,1,3,5,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[8,6,7,4,3,2,1,5]=>[1,3,2,5,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[7,6,8,4,3,2,1,5]=>[2,3,1,5,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[6,7,8,4,3,2,1,5]=>[3,2,1,5,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,7,6,3,4,2,1,5]=>[1,2,3,6,5,7,8,4]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[8,6,7,3,4,2,1,5]=>[1,3,2,6,5,7,8,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[6,7,8,3,4,2,1,5]=>[3,2,1,6,5,7,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[8,7,6,4,2,3,1,5]=>[1,2,3,5,7,6,8,4]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[7,6,8,4,2,3,1,5]=>[2,3,1,5,7,6,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,7,8,4,2,3,1,5]=>[3,2,1,5,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[8,7,6,3,2,4,1,5]=>[1,2,3,6,7,5,8,4]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[8,6,7,3,2,4,1,5]=>[1,3,2,6,7,5,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[7,6,8,3,2,4,1,5]=>[2,3,1,6,7,5,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,7,8,3,2,4,1,5]=>[3,2,1,6,7,5,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[8,7,6,2,3,4,1,5]=>[1,2,3,7,6,5,8,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[8,6,7,2,3,4,1,5]=>[1,3,2,7,6,5,8,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,6,8,2,3,4,1,5]=>[2,3,1,7,6,5,8,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,7,8,2,3,4,1,5]=>[3,2,1,7,6,5,8,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[8,7,6,4,3,1,2,5]=>[1,2,3,5,6,8,7,4]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[8,6,7,4,3,1,2,5]=>[1,3,2,5,6,8,7,4]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,7,8,4,3,1,2,5]=>[3,2,1,5,6,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,7,6,3,4,1,2,5]=>[1,2,3,6,5,8,7,4]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,8,6,3,4,1,2,5]=>[2,1,3,6,5,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,6,7,3,4,1,2,5]=>[1,3,2,6,5,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,6,8,3,4,1,2,5]=>[2,3,1,6,5,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,7,8,3,4,1,2,5]=>[3,2,1,6,5,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[8,7,6,4,2,1,3,5]=>[1,2,3,5,7,8,6,4]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[8,6,7,4,2,1,3,5]=>[1,3,2,5,7,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[7,6,8,4,2,1,3,5]=>[2,3,1,5,7,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,7,8,4,2,1,3,5]=>[3,2,1,5,7,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,7,6,4,1,2,3,5]=>[1,2,3,5,8,7,6,4]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,6,7,4,1,2,3,5]=>[1,3,2,5,8,7,6,4]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[6,7,8,4,1,2,3,5]=>[3,2,1,5,8,7,6,4]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,7,6,3,2,1,4,5]=>[1,2,3,6,7,8,5,4]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[7,8,6,3,2,1,4,5]=>[2,1,3,6,7,8,5,4]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,6,7,3,2,1,4,5]=>[1,3,2,6,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[7,6,8,3,2,1,4,5]=>[2,3,1,6,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,7,8,3,2,1,4,5]=>[3,2,1,6,7,8,5,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,7,6,2,3,1,4,5]=>[1,2,3,7,6,8,5,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[8,6,7,2,3,1,4,5]=>[1,3,2,7,6,8,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,6,8,2,3,1,4,5]=>[2,3,1,7,6,8,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,7,8,2,3,1,4,5]=>[3,2,1,7,6,8,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[8,7,6,3,1,2,4,5]=>[1,2,3,6,8,7,5,4]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,8,6,3,1,2,4,5]=>[2,1,3,6,8,7,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,6,7,3,1,2,4,5]=>[1,3,2,6,8,7,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,6,8,3,1,2,4,5]=>[2,3,1,6,8,7,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[6,7,8,3,1,2,4,5]=>[3,2,1,6,8,7,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,7,6,2,1,3,4,5]=>[1,2,3,7,8,6,5,4]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,8,6,2,1,3,4,5]=>[2,1,3,7,8,6,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[7,6,8,2,1,3,4,5]=>[2,3,1,7,8,6,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[6,7,8,2,1,3,4,5]=>[3,2,1,7,8,6,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,7,6,1,2,3,4,5]=>[1,2,3,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[7,8,6,1,2,3,4,5]=>[2,1,3,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,6,7,1,2,3,4,5]=>[1,3,2,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[7,6,8,1,2,3,4,5]=>[2,3,1,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[6,7,8,1,2,3,4,5]=>[3,2,1,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[8,7,5,4,3,2,1,6]=>[1,2,4,5,6,7,8,3]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[7,8,5,4,3,2,1,6]=>[2,1,4,5,6,7,8,3]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[8,7,4,5,3,2,1,6]=>[1,2,5,4,6,7,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[7,8,4,5,3,2,1,6]=>[2,1,5,4,6,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[8,7,4,3,5,2,1,6]=>[1,2,5,6,4,7,8,3]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[7,8,4,3,5,2,1,6]=>[2,1,5,6,4,7,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[8,7,3,4,5,2,1,6]=>[1,2,6,5,4,7,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[8,7,4,5,2,3,1,6]=>[1,2,5,4,7,6,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,8,4,5,2,3,1,6]=>[2,1,5,4,7,6,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,8,5,3,2,4,1,6]=>[2,1,4,6,7,5,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[8,7,5,2,3,4,1,6]=>[1,2,4,7,6,5,8,3]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,8,5,2,3,4,1,6]=>[2,1,4,7,6,5,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,7,4,3,2,5,1,6]=>[1,2,5,6,7,4,8,3]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[7,8,4,3,2,5,1,6]=>[2,1,5,6,7,4,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[7,8,3,4,2,5,1,6]=>[2,1,6,5,7,4,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[8,7,4,2,3,5,1,6]=>[1,2,5,7,6,4,8,3]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,8,4,2,3,5,1,6]=>[2,1,5,7,6,4,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[7,8,3,2,4,5,1,6]=>[2,1,6,7,5,4,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,7,2,3,4,5,1,6]=>[1,2,7,6,5,4,8,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[7,8,2,3,4,5,1,6]=>[2,1,7,6,5,4,8,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[8,7,5,4,3,1,2,6]=>[1,2,4,5,6,8,7,3]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[7,8,5,4,3,1,2,6]=>[2,1,4,5,6,8,7,3]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,7,4,5,3,1,2,6]=>[1,2,5,4,6,8,7,3]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,8,4,5,3,1,2,6]=>[2,1,5,4,6,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,8,5,3,4,1,2,6]=>[2,1,4,6,5,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[7,8,4,3,5,1,2,6]=>[2,1,5,6,4,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,7,3,4,5,1,2,6]=>[1,2,6,5,4,8,7,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[7,8,3,4,5,1,2,6]=>[2,1,6,5,4,8,7,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,7,5,4,2,1,3,6]=>[1,2,4,5,7,8,6,3]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[7,8,5,4,2,1,3,6]=>[2,1,4,5,7,8,6,3]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,8,4,5,2,1,3,6]=>[2,1,5,4,7,8,6,3]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,7,5,4,1,2,3,6]=>[1,2,4,5,8,7,6,3]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,8,5,4,1,2,3,6]=>[2,1,4,5,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,7,4,5,1,2,3,6]=>[1,2,5,4,8,7,6,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,8,4,5,1,2,3,6]=>[2,1,5,4,8,7,6,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[8,7,5,3,2,1,4,6]=>[1,2,4,6,7,8,5,3]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[7,8,5,3,2,1,4,6]=>[2,1,4,6,7,8,5,3]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,7,5,3,1,2,4,6]=>[1,2,4,6,8,7,5,3]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,8,5,3,1,2,4,6]=>[2,1,4,6,8,7,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,7,5,2,1,3,4,6]=>[1,2,4,7,8,6,5,3]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,8,5,2,1,3,4,6]=>[2,1,4,7,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,7,5,1,2,3,4,6]=>[1,2,4,8,7,6,5,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[7,8,5,1,2,3,4,6]=>[2,1,4,8,7,6,5,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,7,4,3,2,1,5,6]=>[1,2,5,6,7,8,4,3]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[7,8,4,3,2,1,5,6]=>[2,1,5,6,7,8,4,3]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,7,3,4,2,1,5,6]=>[1,2,6,5,7,8,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[7,8,3,4,2,1,5,6]=>[2,1,6,5,7,8,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,8,4,2,3,1,5,6]=>[2,1,5,7,6,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,8,3,2,4,1,5,6]=>[2,1,6,7,5,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,7,2,3,4,1,5,6]=>[1,2,7,6,5,8,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[7,8,2,3,4,1,5,6]=>[2,1,7,6,5,8,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,7,4,3,1,2,5,6]=>[1,2,5,6,8,7,4,3]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,8,4,3,1,2,5,6]=>[2,1,5,6,8,7,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,7,3,4,1,2,5,6]=>[1,2,6,5,8,7,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,8,3,4,1,2,5,6]=>[2,1,6,5,8,7,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[7,8,4,2,1,3,5,6]=>[2,1,5,7,8,6,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,7,4,1,2,3,5,6]=>[1,2,5,8,7,6,4,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[7,8,4,1,2,3,5,6]=>[2,1,5,8,7,6,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,7,3,2,1,4,5,6]=>[1,2,6,7,8,5,4,3]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,8,3,2,1,4,5,6]=>[2,1,6,7,8,5,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,7,2,3,1,4,5,6]=>[1,2,7,6,8,5,4,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[7,8,2,3,1,4,5,6]=>[2,1,7,6,8,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[7,8,3,1,2,4,5,6]=>[2,1,6,8,7,5,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,7,2,1,3,4,5,6]=>[1,2,7,8,6,5,4,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[7,8,2,1,3,4,5,6]=>[2,1,7,8,6,5,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,7,1,2,3,4,5,6]=>[1,2,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[7,8,1,2,3,4,5,6]=>[2,1,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[8,6,5,4,3,2,1,7]=>[1,3,4,5,6,7,8,2]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[8,5,6,4,3,2,1,7]=>[1,4,3,5,6,7,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[8,5,4,6,3,2,1,7]=>[1,4,5,3,6,7,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[8,4,5,6,3,2,1,7]=>[1,5,4,3,6,7,8,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[8,6,5,3,4,2,1,7]=>[1,3,4,6,5,7,8,2]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[8,5,6,3,4,2,1,7]=>[1,4,3,6,5,7,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,4,5,3,6,2,1,7]=>[1,5,4,6,3,7,8,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,6,5,4,2,3,1,7]=>[1,3,4,5,7,6,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[8,6,4,5,2,3,1,7]=>[1,3,5,4,7,6,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,6,5,3,2,4,1,7]=>[1,3,4,6,7,5,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[8,6,5,2,3,4,1,7]=>[1,3,4,7,6,5,8,2]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[8,6,4,3,2,5,1,7]=>[1,3,5,6,7,4,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[8,6,3,4,2,5,1,7]=>[1,3,6,5,7,4,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[8,5,4,3,2,6,1,7]=>[1,4,5,6,7,3,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[8,4,5,3,2,6,1,7]=>[1,5,4,6,7,3,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[8,5,3,4,2,6,1,7]=>[1,4,6,5,7,3,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[8,4,3,5,2,6,1,7]=>[1,5,6,4,7,3,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[8,5,3,2,4,6,1,7]=>[1,4,6,7,5,3,8,2]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[8,4,3,2,5,6,1,7]=>[1,5,6,7,4,3,8,2]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[8,3,4,2,5,6,1,7]=>[1,6,5,7,4,3,8,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[8,3,2,4,5,6,1,7]=>[1,6,7,5,4,3,8,2]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[8,2,3,4,5,6,1,7]=>[1,7,6,5,4,3,8,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[8,6,5,4,3,1,2,7]=>[1,3,4,5,6,8,7,2]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[8,5,4,6,3,1,2,7]=>[1,4,5,3,6,8,7,2]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[8,4,5,6,3,1,2,7]=>[1,5,4,3,6,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,5,6,3,4,1,2,7]=>[1,4,3,6,5,8,7,2]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,6,3,4,5,1,2,7]=>[1,3,6,5,4,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,5,4,3,6,1,2,7]=>[1,4,5,6,3,8,7,2]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,5,3,4,6,1,2,7]=>[1,4,6,5,3,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,4,3,5,6,1,2,7]=>[1,5,6,4,3,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,3,4,5,6,1,2,7]=>[1,6,5,4,3,8,7,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,6,5,4,2,1,3,7]=>[1,3,4,5,7,8,6,2]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[8,5,6,4,2,1,3,7]=>[1,4,3,5,7,8,6,2]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,5,4,6,2,1,3,7]=>[1,4,5,3,7,8,6,2]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[8,6,5,4,1,2,3,7]=>[1,3,4,5,8,7,6,2]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,5,6,4,1,2,3,7]=>[1,4,3,5,8,7,6,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,6,4,5,1,2,3,7]=>[1,3,5,4,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,5,4,6,1,2,3,7]=>[1,4,5,3,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,4,5,6,1,2,3,7]=>[1,5,4,3,8,7,6,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,6,5,3,2,1,4,7]=>[1,3,4,6,7,8,5,2]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[8,5,6,3,2,1,4,7]=>[1,4,3,6,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,6,5,2,3,1,4,7]=>[1,3,4,7,6,8,5,2]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[8,5,6,2,3,1,4,7]=>[1,4,3,7,6,8,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,5,6,3,1,2,4,7]=>[1,4,3,6,8,7,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,5,6,2,1,3,4,7]=>[1,4,3,7,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,6,5,1,2,3,4,7]=>[1,3,4,8,7,6,5,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[8,5,6,1,2,3,4,7]=>[1,4,3,8,7,6,5,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,6,4,3,2,1,5,7]=>[1,3,5,6,7,8,4,2]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[8,6,3,4,2,1,5,7]=>[1,3,6,5,7,8,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[8,6,3,2,4,1,5,7]=>[1,3,6,7,5,8,4,2]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[8,6,4,3,1,2,5,7]=>[1,3,5,6,8,7,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,6,4,2,1,3,5,7]=>[1,3,5,7,8,6,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,6,4,1,2,3,5,7]=>[1,3,5,8,7,6,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[8,6,3,2,1,4,5,7]=>[1,3,6,7,8,5,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,6,3,1,2,4,5,7]=>[1,3,6,8,7,5,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[8,6,2,1,3,4,5,7]=>[1,3,7,8,6,5,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[8,6,1,2,3,4,5,7]=>[1,3,8,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[8,5,4,3,2,1,6,7]=>[1,4,5,6,7,8,3,2]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[8,4,5,3,2,1,6,7]=>[1,5,4,6,7,8,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[8,4,3,5,2,1,6,7]=>[1,5,6,4,7,8,3,2]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[8,3,4,5,2,1,6,7]=>[1,6,5,4,7,8,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[8,5,3,2,4,1,6,7]=>[1,4,6,7,5,8,3,2]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[8,5,2,3,4,1,6,7]=>[1,4,7,6,5,8,3,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[8,2,3,4,5,1,6,7]=>[1,7,6,5,4,8,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[8,5,3,4,1,2,6,7]=>[1,4,6,5,8,7,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,4,5,2,1,3,6,7]=>[1,5,4,7,8,6,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,5,4,1,2,3,6,7]=>[1,4,5,8,7,6,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[8,5,3,2,1,4,6,7]=>[1,4,6,7,8,5,3,2]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,5,3,1,2,4,6,7]=>[1,4,6,8,7,5,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[8,5,2,1,3,4,6,7]=>[1,4,7,8,6,5,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[8,5,1,2,3,4,6,7]=>[1,4,8,7,6,5,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[8,4,3,2,1,5,6,7]=>[1,5,6,7,8,4,3,2]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[8,3,4,2,1,5,6,7]=>[1,6,5,7,8,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[8,4,2,3,1,5,6,7]=>[1,5,7,6,8,4,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[8,3,2,4,1,5,6,7]=>[1,6,7,5,8,4,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[8,2,3,4,1,5,6,7]=>[1,7,6,5,8,4,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[8,3,4,1,2,5,6,7]=>[1,6,5,8,7,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,4,1,2,3,5,6,7]=>[1,5,8,7,6,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[8,3,2,1,4,5,6,7]=>[1,6,7,8,5,4,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[8,2,3,1,4,5,6,7]=>[1,7,6,8,5,4,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[8,3,1,2,4,5,6,7]=>[1,6,8,7,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[8,2,1,3,4,5,6,7]=>[1,7,8,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[1,2,3,4,5,6,7],[8]]=>[8]
[6,7,5,4,3,2,1,8]=>[3,2,4,5,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[7,5,6,4,3,2,1,8]=>[2,4,3,5,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[6,5,7,4,3,2,1,8]=>[3,4,2,5,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[5,6,7,4,3,2,1,8]=>[4,3,2,5,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[7,6,4,5,3,2,1,8]=>[2,3,5,4,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[6,7,4,5,3,2,1,8]=>[3,2,5,4,6,7,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[7,5,4,6,3,2,1,8]=>[2,4,5,3,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[7,4,5,6,3,2,1,8]=>[2,5,4,3,6,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[6,5,4,7,3,2,1,8]=>[3,4,5,2,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[5,6,4,7,3,2,1,8]=>[4,3,5,2,6,7,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[6,4,5,7,3,2,1,8]=>[3,5,4,2,6,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[5,4,6,7,3,2,1,8]=>[4,5,3,2,6,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[4,5,6,7,3,2,1,8]=>[5,4,3,2,6,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[7,6,5,3,4,2,1,8]=>[2,3,4,6,5,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[7,5,6,3,4,2,1,8]=>[2,4,3,6,5,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[6,5,7,3,4,2,1,8]=>[3,4,2,6,5,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[5,6,7,3,4,2,1,8]=>[4,3,2,6,5,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[6,7,4,3,5,2,1,8]=>[3,2,5,6,4,7,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[7,5,4,3,6,2,1,8]=>[2,4,5,6,3,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[7,5,3,4,6,2,1,8]=>[2,4,6,5,3,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[7,4,3,5,6,2,1,8]=>[2,5,6,4,3,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[7,3,4,5,6,2,1,8]=>[2,6,5,4,3,7,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[6,5,4,3,7,2,1,8]=>[3,4,5,6,2,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[5,6,4,3,7,2,1,8]=>[4,3,5,6,2,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[6,4,5,3,7,2,1,8]=>[3,5,4,6,2,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[4,5,6,3,7,2,1,8]=>[5,4,3,6,2,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[6,5,3,4,7,2,1,8]=>[3,4,6,5,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[6,4,3,5,7,2,1,8]=>[3,5,6,4,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[6,3,4,5,7,2,1,8]=>[3,6,5,4,2,7,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[5,4,3,6,7,2,1,8]=>[4,5,6,3,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[4,5,3,6,7,2,1,8]=>[5,4,6,3,2,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[3,4,5,6,7,2,1,8]=>[6,5,4,3,2,7,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[7,6,5,4,2,3,1,8]=>[2,3,4,5,7,6,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[6,7,5,4,2,3,1,8]=>[3,2,4,5,7,6,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,5,7,4,2,3,1,8]=>[3,4,2,5,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[5,6,7,4,2,3,1,8]=>[4,3,2,5,7,6,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[7,6,4,5,2,3,1,8]=>[2,3,5,4,7,6,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[6,7,4,5,2,3,1,8]=>[3,2,5,4,7,6,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,4,5,6,2,3,1,8]=>[2,5,4,3,7,6,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[6,5,4,7,2,3,1,8]=>[3,4,5,2,7,6,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[5,6,4,7,2,3,1,8]=>[4,3,5,2,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[6,4,5,7,2,3,1,8]=>[3,5,4,2,7,6,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[4,5,6,7,2,3,1,8]=>[5,4,3,2,7,6,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[7,6,5,3,2,4,1,8]=>[2,3,4,6,7,5,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[7,5,6,3,2,4,1,8]=>[2,4,3,6,7,5,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,5,7,3,2,4,1,8]=>[3,4,2,6,7,5,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[5,6,7,3,2,4,1,8]=>[4,3,2,6,7,5,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[7,6,5,2,3,4,1,8]=>[2,3,4,7,6,5,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[6,7,5,2,3,4,1,8]=>[3,2,4,7,6,5,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[7,5,6,2,3,4,1,8]=>[2,4,3,7,6,5,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,5,7,2,3,4,1,8]=>[3,4,2,7,6,5,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,6,7,2,3,4,1,8]=>[4,3,2,7,6,5,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[7,6,4,3,2,5,1,8]=>[2,3,5,6,7,4,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[6,7,4,3,2,5,1,8]=>[3,2,5,6,7,4,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[6,7,3,4,2,5,1,8]=>[3,2,6,5,7,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[7,6,4,2,3,5,1,8]=>[2,3,5,7,6,4,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[6,7,4,2,3,5,1,8]=>[3,2,5,7,6,4,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,7,3,2,4,5,1,8]=>[3,2,6,7,5,4,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[7,6,2,3,4,5,1,8]=>[2,3,7,6,5,4,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[6,7,2,3,4,5,1,8]=>[3,2,7,6,5,4,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[7,4,5,3,2,6,1,8]=>[2,5,4,6,7,3,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,5,3,2,4,6,1,8]=>[2,4,6,7,5,3,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,3,4,2,5,6,1,8]=>[2,6,5,7,4,3,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[6,5,4,3,2,7,1,8]=>[3,4,5,6,7,2,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[6,4,5,3,2,7,1,8]=>[3,5,4,6,7,2,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[5,4,6,3,2,7,1,8]=>[4,5,3,6,7,2,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[4,5,6,3,2,7,1,8]=>[5,4,3,6,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[6,5,3,4,2,7,1,8]=>[3,4,6,5,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[5,6,3,4,2,7,1,8]=>[4,3,6,5,7,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,4,3,5,2,7,1,8]=>[3,5,6,4,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[6,3,4,5,2,7,1,8]=>[3,6,5,4,7,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[5,4,3,6,2,7,1,8]=>[4,5,6,3,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[4,5,3,6,2,7,1,8]=>[5,4,6,3,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[5,3,4,6,2,7,1,8]=>[4,6,5,3,7,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[3,4,5,6,2,7,1,8]=>[6,5,4,3,7,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[6,5,4,2,3,7,1,8]=>[3,4,5,7,6,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[6,4,5,2,3,7,1,8]=>[3,5,4,7,6,2,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[4,5,6,2,3,7,1,8]=>[5,4,3,7,6,2,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[6,5,3,2,4,7,1,8]=>[3,4,6,7,5,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[5,6,3,2,4,7,1,8]=>[4,3,6,7,5,2,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,5,2,3,4,7,1,8]=>[3,4,7,6,5,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[5,6,2,3,4,7,1,8]=>[4,3,7,6,5,2,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[6,4,3,2,5,7,1,8]=>[3,5,6,7,4,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[6,4,2,3,5,7,1,8]=>[3,5,7,6,4,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[5,4,3,2,6,7,1,8]=>[4,5,6,7,3,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[5,3,4,2,6,7,1,8]=>[4,6,5,7,3,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[3,4,5,2,6,7,1,8]=>[6,5,4,7,3,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[5,3,2,4,6,7,1,8]=>[4,6,7,5,3,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[5,2,3,4,6,7,1,8]=>[4,7,6,5,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[4,3,2,5,6,7,1,8]=>[5,6,7,4,3,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[3,4,2,5,6,7,1,8]=>[6,5,7,4,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[4,2,3,5,6,7,1,8]=>[5,7,6,4,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[3,2,4,5,6,7,1,8]=>[6,7,5,4,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[2,3,4,5,6,7,1,8]=>[7,6,5,4,3,2,8,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[6,2]
[7,6,5,4,3,1,2,8]=>[2,3,4,5,6,8,7,1]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,5,6,4,3,1,2,8]=>[2,4,3,5,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,5,7,4,3,1,2,8]=>[3,4,2,5,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[5,6,7,4,3,1,2,8]=>[4,3,2,5,6,8,7,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[6,7,4,5,3,1,2,8]=>[3,2,5,4,6,8,7,1]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,5,4,6,3,1,2,8]=>[2,4,5,3,6,8,7,1]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,4,5,6,3,1,2,8]=>[2,5,4,3,6,8,7,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[4,5,6,7,3,1,2,8]=>[5,4,3,2,6,8,7,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[7,6,5,3,4,1,2,8]=>[2,3,4,6,5,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,7,5,3,4,1,2,8]=>[3,2,4,6,5,8,7,1]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[7,5,6,3,4,1,2,8]=>[2,4,3,6,5,8,7,1]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[5,6,7,3,4,1,2,8]=>[4,3,2,6,5,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[7,6,4,3,5,1,2,8]=>[2,3,5,6,4,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[7,5,4,3,6,1,2,8]=>[2,4,5,6,3,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,5,3,4,6,1,2,8]=>[2,4,6,5,3,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[7,3,4,5,6,1,2,8]=>[2,6,5,4,3,8,7,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[6,5,4,3,7,1,2,8]=>[3,4,5,6,2,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[5,4,6,3,7,1,2,8]=>[4,5,3,6,2,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[4,5,6,3,7,1,2,8]=>[5,4,3,6,2,8,7,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[5,6,3,4,7,1,2,8]=>[4,3,6,5,2,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[6,4,3,5,7,1,2,8]=>[3,5,6,4,2,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[6,3,4,5,7,1,2,8]=>[3,6,5,4,2,8,7,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[5,4,3,6,7,1,2,8]=>[4,5,6,3,2,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[4,5,3,6,7,1,2,8]=>[5,4,6,3,2,8,7,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[5,3,4,6,7,1,2,8]=>[4,6,5,3,2,8,7,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[3,4,5,6,7,1,2,8]=>[6,5,4,3,2,8,7,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[7,6,5,4,2,1,3,8]=>[2,3,4,5,7,8,6,1]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[6,7,5,4,2,1,3,8]=>[3,2,4,5,7,8,6,1]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[5,6,7,4,2,1,3,8]=>[4,3,2,5,7,8,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[7,6,4,5,2,1,3,8]=>[2,3,5,4,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,7,4,5,2,1,3,8]=>[3,2,5,4,7,8,6,1]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,5,4,6,2,1,3,8]=>[2,4,5,3,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,4,5,6,2,1,3,8]=>[2,5,4,3,7,8,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,5,4,7,2,1,3,8]=>[3,4,5,2,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[4,5,6,7,2,1,3,8]=>[5,4,3,2,7,8,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[7,6,5,4,1,2,3,8]=>[2,3,4,5,8,7,6,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[6,5,7,4,1,2,3,8]=>[3,4,2,5,8,7,6,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[7,6,4,5,1,2,3,8]=>[2,3,5,4,8,7,6,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,4,5,6,1,2,3,8]=>[2,5,4,3,8,7,6,1]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[4,5,6,7,1,2,3,8]=>[5,4,3,2,8,7,6,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[7,6,5,3,2,1,4,8]=>[2,3,4,6,7,8,5,1]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[7,5,6,3,2,1,4,8]=>[2,4,3,6,7,8,5,1]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[7,6,5,2,3,1,4,8]=>[2,3,4,7,6,8,5,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[7,6,5,3,1,2,4,8]=>[2,3,4,6,8,7,5,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,5,6,3,1,2,4,8]=>[2,4,3,6,8,7,5,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,6,5,2,1,3,4,8]=>[2,3,4,7,8,6,5,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[6,5,7,2,1,3,4,8]=>[3,4,2,7,8,6,5,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,6,7,2,1,3,4,8]=>[4,3,2,7,8,6,5,1]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[7,6,5,1,2,3,4,8]=>[2,3,4,8,7,6,5,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[6,7,5,1,2,3,4,8]=>[3,2,4,8,7,6,5,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[7,5,6,1,2,3,4,8]=>[2,4,3,8,7,6,5,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[6,5,7,1,2,3,4,8]=>[3,4,2,8,7,6,5,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[5,6,7,1,2,3,4,8]=>[4,3,2,8,7,6,5,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[7,6,4,3,2,1,5,8]=>[2,3,5,6,7,8,4,1]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[6,7,4,3,2,1,5,8]=>[3,2,5,6,7,8,4,1]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,6,4,2,3,1,5,8]=>[2,3,5,7,6,8,4,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[6,7,4,2,3,1,5,8]=>[3,2,5,7,6,8,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,6,2,3,4,1,5,8]=>[2,3,7,6,5,8,4,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[7,6,4,3,1,2,5,8]=>[2,3,5,6,8,7,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,6,3,4,1,2,5,8]=>[2,3,6,5,8,7,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,6,4,2,1,3,5,8]=>[2,3,5,7,8,6,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[6,7,4,2,1,3,5,8]=>[3,2,5,7,8,6,4,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[7,6,3,2,1,4,5,8]=>[2,3,6,7,8,5,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[6,7,3,1,2,4,5,8]=>[3,2,6,8,7,5,4,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[6,7,2,1,3,4,5,8]=>[3,2,7,8,6,5,4,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[7,6,1,2,3,4,5,8]=>[2,3,8,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[6,7,1,2,3,4,5,8]=>[3,2,8,7,6,5,4,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[7,5,4,3,2,1,6,8]=>[2,4,5,6,7,8,3,1]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[7,4,5,3,2,1,6,8]=>[2,5,4,6,7,8,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[7,5,3,4,2,1,6,8]=>[2,4,6,5,7,8,3,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[7,4,3,5,2,1,6,8]=>[2,5,6,4,7,8,3,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[7,3,4,5,2,1,6,8]=>[2,6,5,4,7,8,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[7,4,5,2,3,1,6,8]=>[2,5,4,7,6,8,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,5,3,2,4,1,6,8]=>[2,4,6,7,5,8,3,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[7,5,2,3,4,1,6,8]=>[2,4,7,6,5,8,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[7,4,3,2,5,1,6,8]=>[2,5,6,7,4,8,3,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[7,2,3,4,5,1,6,8]=>[2,7,6,5,4,8,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[7,5,3,4,1,2,6,8]=>[2,4,6,5,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,4,3,5,1,2,6,8]=>[2,5,6,4,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,3,4,5,1,2,6,8]=>[2,6,5,4,8,7,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[7,5,4,2,1,3,6,8]=>[2,4,5,7,8,6,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,4,5,2,1,3,6,8]=>[2,5,4,7,8,6,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,4,5,1,2,3,6,8]=>[2,5,4,8,7,6,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[7,5,3,2,1,4,6,8]=>[2,4,6,7,8,5,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,5,3,1,2,4,6,8]=>[2,4,6,8,7,5,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[7,5,2,1,3,4,6,8]=>[2,4,7,8,6,5,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[7,5,1,2,3,4,6,8]=>[2,4,8,7,6,5,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[7,4,3,2,1,5,6,8]=>[2,5,6,7,8,4,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[7,3,2,4,1,5,6,8]=>[2,6,7,5,8,4,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[7,4,1,2,3,5,6,8]=>[2,5,8,7,6,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[7,3,2,1,4,5,6,8]=>[2,6,7,8,5,4,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[7,2,3,1,4,5,6,8]=>[2,7,6,8,5,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[7,3,1,2,4,5,6,8]=>[2,6,8,7,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[7,2,1,3,4,5,6,8]=>[2,7,8,6,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[7,1,2,3,4,5,6,8]=>[2,8,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[1,2,3,4,5,6],[7],[8]]=>[8]
[5,6,4,3,2,1,7,8]=>[4,3,5,6,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[6,4,5,3,2,1,7,8]=>[3,5,4,6,7,8,2,1]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[4,5,6,3,2,1,7,8]=>[5,4,3,6,7,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[5,6,3,4,2,1,7,8]=>[4,3,6,5,7,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[6,4,3,5,2,1,7,8]=>[3,5,6,4,7,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[6,3,4,5,2,1,7,8]=>[3,6,5,4,7,8,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[3,4,5,6,2,1,7,8]=>[6,5,4,3,7,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[6,5,4,2,3,1,7,8]=>[3,4,5,7,6,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[5,6,4,2,3,1,7,8]=>[4,3,5,7,6,8,2,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[5,4,6,2,3,1,7,8]=>[4,5,3,7,6,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,5,3,2,4,1,7,8]=>[3,4,6,7,5,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[6,5,2,3,4,1,7,8]=>[3,4,7,6,5,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[5,6,2,3,4,1,7,8]=>[4,3,7,6,5,8,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[6,4,2,3,5,1,7,8]=>[3,5,7,6,4,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[5,4,3,2,6,1,7,8]=>[4,5,6,7,3,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[4,5,3,2,6,1,7,8]=>[5,4,6,7,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[3,4,5,2,6,1,7,8]=>[6,5,4,7,3,8,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[4,5,2,3,6,1,7,8]=>[5,4,7,6,3,8,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,2,3,4,6,1,7,8]=>[4,7,6,5,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[4,3,2,5,6,1,7,8]=>[5,6,7,4,3,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[3,4,2,5,6,1,7,8]=>[6,5,7,4,3,8,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[4,2,3,5,6,1,7,8]=>[5,7,6,4,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[3,2,4,5,6,1,7,8]=>[6,7,5,4,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[2,3,4,5,6,1,7,8]=>[7,6,5,4,3,8,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[5,3]
[6,5,4,3,1,2,7,8]=>[3,4,5,6,8,7,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[5,4,6,3,1,2,7,8]=>[4,5,3,6,8,7,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[4,5,6,3,1,2,7,8]=>[5,4,3,6,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[6,3,4,5,1,2,7,8]=>[3,6,5,4,8,7,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[5,4,3,6,1,2,7,8]=>[4,5,6,3,8,7,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[4,3,5,6,1,2,7,8]=>[5,6,4,3,8,7,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,4,5,6,1,2,7,8]=>[6,5,4,3,8,7,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[6,5,4,2,1,3,7,8]=>[3,4,5,7,8,6,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[6,4,5,2,1,3,7,8]=>[3,5,4,7,8,6,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[4,5,6,2,1,3,7,8]=>[5,4,3,7,8,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[6,5,4,1,2,3,7,8]=>[3,4,5,8,7,6,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[4,5,6,1,2,3,7,8]=>[5,4,3,8,7,6,2,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[6,5,3,2,1,4,7,8]=>[3,4,6,7,8,5,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[5,6,3,2,1,4,7,8]=>[4,3,6,7,8,5,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[5,6,2,1,3,4,7,8]=>[4,3,7,8,6,5,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[6,5,1,2,3,4,7,8]=>[3,4,8,7,6,5,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[5,6,1,2,3,4,7,8]=>[4,3,8,7,6,5,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[6,4,3,2,1,5,7,8]=>[3,5,6,7,8,4,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[6,4,2,3,1,5,7,8]=>[3,5,7,6,8,4,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[6,2,3,4,1,5,7,8]=>[3,7,6,5,8,4,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[6,4,3,1,2,5,7,8]=>[3,5,6,8,7,4,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[6,4,2,1,3,5,7,8]=>[3,5,7,8,6,4,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[6,4,1,2,3,5,7,8]=>[3,5,8,7,6,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[6,2,3,1,4,5,7,8]=>[3,7,6,8,5,4,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[6,3,1,2,4,5,7,8]=>[3,6,8,7,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[6,2,1,3,4,5,7,8]=>[3,7,8,6,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[6,1,2,3,4,5,7,8]=>[3,8,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>[8]
[4,5,3,2,1,6,7,8]=>[5,4,6,7,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[5,3,4,2,1,6,7,8]=>[4,6,5,7,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[4,3,5,2,1,6,7,8]=>[5,6,4,7,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[3,4,5,2,1,6,7,8]=>[6,5,4,7,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[5,4,2,3,1,6,7,8]=>[4,5,7,6,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[4,5,2,3,1,6,7,8]=>[5,4,7,6,8,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[4,3,2,5,1,6,7,8]=>[5,6,7,4,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[3,4,2,5,1,6,7,8]=>[6,5,7,4,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[4,2,3,5,1,6,7,8]=>[5,7,6,4,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[3,2,4,5,1,6,7,8]=>[6,7,5,4,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[2,3,4,5,1,6,7,8]=>[7,6,5,4,8,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[5,4,3,1,2,6,7,8]=>[4,5,6,8,7,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[5,3,4,1,2,6,7,8]=>[4,6,5,8,7,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[4,3,5,1,2,6,7,8]=>[5,6,4,8,7,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[5,4,2,1,3,6,7,8]=>[4,5,7,8,6,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[4,5,2,1,3,6,7,8]=>[5,4,7,8,6,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[5,4,1,2,3,6,7,8]=>[4,5,8,7,6,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[5,3,2,1,4,6,7,8]=>[4,6,7,8,5,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[5,2,3,1,4,6,7,8]=>[4,7,6,8,5,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[5,3,1,2,4,6,7,8]=>[4,6,8,7,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[5,2,1,3,4,6,7,8]=>[4,7,8,6,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8]
[3,4,2,1,5,6,7,8]=>[6,5,7,8,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[3,2,4,1,5,6,7,8]=>[6,7,5,8,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[2,3,4,1,5,6,7,8]=>[7,6,5,8,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[3,5]
[4,3,1,2,5,6,7,8]=>[5,6,8,7,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[3,4,1,2,5,6,7,8]=>[6,5,8,7,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[4,2,1,3,5,6,7,8]=>[5,7,8,6,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8]
[2,3,1,4,5,6,7,8]=>[7,6,8,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[2,6]
[3,1,2,4,5,6,7,8]=>[6,8,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8]
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[8]
[6,8,7,5,4,3,2,1]=>[3,1,2,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[5,8,7,6,4,3,2,1]=>[4,1,2,3,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[5,7,8,6,4,3,2,1]=>[4,2,1,3,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[6,5,8,7,4,3,2,1]=>[3,4,1,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[5,6,8,7,4,3,2,1]=>[4,3,1,2,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[5,7,6,8,4,3,2,1]=>[4,2,3,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[4,7,8,6,5,3,2,1]=>[5,2,1,3,4,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[4,6,8,7,5,3,2,1]=>[5,3,1,2,4,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[4,7,6,8,5,3,2,1]=>[5,2,3,1,4,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[4,6,7,8,5,3,2,1]=>[5,3,2,1,4,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[5,4,8,7,6,3,2,1]=>[4,5,1,2,3,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[5,4,7,8,6,3,2,1]=>[4,5,2,1,3,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[4,5,8,7,6,3,2,1]=>[5,4,1,2,3,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[4,5,7,8,6,3,2,1]=>[5,4,2,1,3,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[6,5,4,8,7,3,2,1]=>[3,4,5,1,2,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[5,6,4,8,7,3,2,1]=>[4,3,5,1,2,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[4,6,5,8,7,3,2,1]=>[5,3,4,1,2,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[4,5,6,8,7,3,2,1]=>[5,4,3,1,2,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[5,7,6,4,8,3,2,1]=>[4,2,3,5,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[4,7,6,5,8,3,2,1]=>[5,2,3,4,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[4,6,7,5,8,3,2,1]=>[5,3,2,4,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[5,4,7,6,8,3,2,1]=>[4,5,2,3,1,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[4,5,7,6,8,3,2,1]=>[5,4,2,3,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[4,6,5,7,8,3,2,1]=>[5,3,4,2,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[3,8,7,6,5,4,2,1]=>[6,1,2,3,4,5,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[3,6,8,7,5,4,2,1]=>[6,3,1,2,4,5,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[3,7,6,8,5,4,2,1]=>[6,2,3,1,4,5,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[3,5,8,7,6,4,2,1]=>[6,4,1,2,3,5,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[3,5,7,8,6,4,2,1]=>[6,4,2,1,3,5,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,5,6,8,7,4,2,1]=>[6,4,3,1,2,5,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,6,5,7,8,4,2,1]=>[6,3,4,2,1,5,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[3,5,6,7,8,4,2,1]=>[6,4,3,2,1,5,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[4,3,7,8,6,5,2,1]=>[5,6,2,1,3,4,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[4,3,6,7,8,5,2,1]=>[5,6,3,2,1,4,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,4,6,7,8,5,2,1]=>[6,5,3,2,1,4,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[5,4,3,8,7,6,2,1]=>[4,5,6,1,2,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[5,4,3,7,8,6,2,1]=>[4,5,6,2,1,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[3,5,4,7,8,6,2,1]=>[6,4,5,2,1,3,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[4,3,5,7,8,6,2,1]=>[5,6,4,2,1,3,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,4,5,8,7,6,2,1]=>[6,5,4,1,2,3,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[3,4,5,7,8,6,2,1]=>[6,5,4,2,1,3,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[6,5,4,3,8,7,2,1]=>[3,4,5,6,1,2,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[5,6,4,3,8,7,2,1]=>[4,3,5,6,1,2,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[4,5,6,3,8,7,2,1]=>[5,4,3,6,1,2,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,3,6,5,8,7,2,1]=>[5,6,3,4,1,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[4,5,3,6,8,7,2,1]=>[5,4,6,3,1,2,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,5,4,6,8,7,2,1]=>[6,4,5,3,1,2,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,4,5,6,8,7,2,1]=>[6,5,4,3,1,2,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[5,7,6,4,3,8,2,1]=>[4,2,3,5,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[4,7,6,5,3,8,2,1]=>[5,2,3,4,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[4,6,7,5,3,8,2,1]=>[5,3,2,4,6,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[3,7,6,5,4,8,2,1]=>[6,2,3,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[3,5,6,7,4,8,2,1]=>[6,4,3,2,5,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[4,3,7,6,5,8,2,1]=>[5,6,2,3,4,1,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[4,3,6,7,5,8,2,1]=>[5,6,3,2,4,1,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[3,4,7,6,5,8,2,1]=>[6,5,2,3,4,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[4,5,3,7,6,8,2,1]=>[5,4,6,2,3,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[4,3,6,5,7,8,2,1]=>[5,6,3,4,2,1,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[3,4,6,5,7,8,2,1]=>[6,5,3,4,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[2,8,7,6,5,4,3,1]=>[7,1,2,3,4,5,6,8]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[2,7,8,6,5,4,3,1]=>[7,2,1,3,4,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[2,6,8,7,5,4,3,1]=>[7,3,1,2,4,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[2,7,6,8,5,4,3,1]=>[7,2,3,1,4,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[2,6,7,8,5,4,3,1]=>[7,3,2,1,4,5,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[2,5,8,7,6,4,3,1]=>[7,4,1,2,3,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[2,6,5,8,7,4,3,1]=>[7,3,4,1,2,5,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,5,6,8,7,4,3,1]=>[7,4,3,1,2,5,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[2,7,6,5,8,4,3,1]=>[7,2,3,4,1,5,6,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[2,5,6,7,8,4,3,1]=>[7,4,3,2,1,5,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[2,4,8,7,6,5,3,1]=>[7,5,1,2,3,4,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[2,4,6,8,7,5,3,1]=>[7,5,3,1,2,4,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[2,4,7,6,8,5,3,1]=>[7,5,2,3,1,4,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[2,4,6,7,8,5,3,1]=>[7,5,3,2,1,4,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[2,5,4,8,7,6,3,1]=>[7,4,5,1,2,3,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,5,4,7,8,6,3,1]=>[7,4,5,2,1,3,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,4,5,6,8,7,3,1]=>[7,5,4,3,1,2,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[2,7,6,5,4,8,3,1]=>[7,2,3,4,5,1,6,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[2,5,7,6,4,8,3,1]=>[7,4,2,3,5,1,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[2,4,7,6,5,8,3,1]=>[7,5,2,3,4,1,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[2,4,6,7,5,8,3,1]=>[7,5,3,2,4,1,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[2,4,5,7,6,8,3,1]=>[7,5,4,2,3,1,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[2,6,5,4,7,8,3,1]=>[7,3,4,5,2,1,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[2,5,6,4,7,8,3,1]=>[7,4,3,5,2,1,6,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[2,5,4,6,7,8,3,1]=>[7,4,5,3,2,1,6,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[2,4,5,6,7,8,3,1]=>[7,5,4,3,2,1,6,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[3,2,8,7,6,5,4,1]=>[6,7,1,2,3,4,5,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,2,6,8,7,5,4,1]=>[6,7,3,1,2,4,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,2,7,6,8,5,4,1]=>[6,7,2,3,1,4,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[3,2,6,7,8,5,4,1]=>[6,7,3,2,1,4,5,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,2,6,5,8,7,4,1]=>[6,7,3,4,1,2,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[3,2,7,6,5,8,4,1]=>[6,7,2,3,4,1,5,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[3,2,6,7,5,8,4,1]=>[6,7,3,2,4,1,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[3,2,6,5,7,8,4,1]=>[6,7,3,4,2,1,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[3,2,5,6,7,8,4,1]=>[6,7,4,3,2,1,5,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,3,8,7,6,5,4,1]=>[7,6,1,2,3,4,5,8]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[2,3,7,6,8,5,4,1]=>[7,6,2,3,1,4,5,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[2,3,6,7,8,5,4,1]=>[7,6,3,2,1,4,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[2,3,5,7,8,6,4,1]=>[7,6,4,2,1,3,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[2,3,5,6,8,7,4,1]=>[7,6,4,3,1,2,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[2,3,7,6,5,8,4,1]=>[7,6,2,3,4,1,5,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[2,3,6,7,5,8,4,1]=>[7,6,3,2,4,1,5,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[2,3,5,7,6,8,4,1]=>[7,6,4,2,3,1,5,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[2,3,6,5,7,8,4,1]=>[7,6,3,4,2,1,5,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[2,3,5,6,7,8,4,1]=>[7,6,4,3,2,1,5,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[4,3,2,8,7,6,5,1]=>[5,6,7,1,2,3,4,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[4,3,2,7,8,6,5,1]=>[5,6,7,2,1,3,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[4,3,2,7,6,8,5,1]=>[5,6,7,2,3,1,4,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[3,4,2,8,7,6,5,1]=>[6,5,7,1,2,3,4,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,4,2,7,6,8,5,1]=>[6,5,7,2,3,1,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,4,3,8,7,6,5,1]=>[7,5,6,1,2,3,4,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,4,3,7,8,6,5,1]=>[7,5,6,2,1,3,4,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,4,3,7,6,8,5,1]=>[7,5,6,2,3,1,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[3,2,4,8,7,6,5,1]=>[6,7,5,1,2,3,4,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,2,4,7,8,6,5,1]=>[6,7,5,2,1,3,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,2,4,7,6,8,5,1]=>[6,7,5,2,3,1,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[2,3,4,8,7,6,5,1]=>[7,6,5,1,2,3,4,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[2,3,4,7,8,6,5,1]=>[7,6,5,2,1,3,4,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[2,3,4,7,6,8,5,1]=>[7,6,5,2,3,1,4,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[2,3,4,6,7,8,5,1]=>[7,6,5,3,2,1,4,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[5,4,3,2,8,7,6,1]=>[4,5,6,7,1,2,3,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,4,3,2,7,8,6,1]=>[4,5,6,7,2,1,3,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[4,5,3,2,8,7,6,1]=>[5,4,6,7,1,2,3,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[4,5,3,2,7,8,6,1]=>[5,4,6,7,2,1,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,5,4,3,8,7,6,1]=>[7,4,5,6,1,2,3,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,4,5,3,7,8,6,1]=>[7,5,4,6,2,1,3,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[2,3,5,4,7,8,6,1]=>[7,6,4,5,2,1,3,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[4,3,2,5,8,7,6,1]=>[5,6,7,4,1,2,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[3,4,2,5,7,8,6,1]=>[6,5,7,4,2,1,3,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,3,4,5,8,7,6,1]=>[7,6,5,4,1,2,3,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[2,3,4,5,7,8,6,1]=>[7,6,5,4,2,1,3,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[6,5,4,3,2,8,7,1]=>[3,4,5,6,7,1,2,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[3,6,5,4,2,8,7,1]=>[6,3,4,5,7,1,2,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[4,3,6,5,2,8,7,1]=>[5,6,3,4,7,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[3,5,4,6,2,8,7,1]=>[6,4,5,3,7,1,2,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,4,5,6,2,8,7,1]=>[6,5,4,3,7,1,2,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,2,6,5,4,8,7,1]=>[6,7,3,4,5,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[2,3,4,6,5,8,7,1]=>[7,6,5,3,4,1,2,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[5,4,3,2,6,8,7,1]=>[4,5,6,7,3,1,2,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[4,5,3,2,6,8,7,1]=>[5,4,6,7,3,1,2,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,3,5,4,6,8,7,1]=>[7,6,4,5,3,1,2,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[2,4,3,5,6,8,7,1]=>[7,5,6,4,3,1,2,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[3,2,4,5,6,8,7,1]=>[6,7,5,4,3,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,3,4,5,6,8,7,1]=>[7,6,5,4,3,1,2,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[5,7,6,4,3,2,8,1]=>[4,2,3,5,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[4,7,6,5,3,2,8,1]=>[5,2,3,4,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[5,4,7,6,3,2,8,1]=>[4,5,2,3,6,7,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[4,5,7,6,3,2,8,1]=>[5,4,2,3,6,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[3,7,6,5,4,2,8,1]=>[6,2,3,4,5,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[3,6,7,5,4,2,8,1]=>[6,3,2,4,5,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[3,5,7,6,4,2,8,1]=>[6,4,2,3,5,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[3,4,6,7,5,2,8,1]=>[6,5,3,2,4,7,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[4,5,3,7,6,2,8,1]=>[5,4,6,2,3,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[4,6,5,3,7,2,8,1]=>[5,3,4,6,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[3,6,5,4,7,2,8,1]=>[6,3,4,5,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[4,3,6,5,7,2,8,1]=>[5,6,3,4,2,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[2,7,6,5,4,3,8,1]=>[7,2,3,4,5,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[2,5,7,6,4,3,8,1]=>[7,4,2,3,5,6,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[2,4,6,7,5,3,8,1]=>[7,5,3,2,4,6,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[2,5,4,7,6,3,8,1]=>[7,4,5,2,3,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,5,6,4,7,3,8,1]=>[7,4,3,5,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,4,6,5,7,3,8,1]=>[7,5,3,4,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,5,4,6,7,3,8,1]=>[7,4,5,3,2,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[2,4,5,6,7,3,8,1]=>[7,5,4,3,2,6,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[3,2,7,6,5,4,8,1]=>[6,7,2,3,4,5,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,2,6,7,5,4,8,1]=>[6,7,3,2,4,5,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[3,2,5,7,6,4,8,1]=>[6,7,4,2,3,5,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[3,2,6,5,7,4,8,1]=>[6,7,3,4,2,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[3,2,5,6,7,4,8,1]=>[6,7,4,3,2,5,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[2,3,7,6,5,4,8,1]=>[7,6,2,3,4,5,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[2,3,6,7,5,4,8,1]=>[7,6,3,2,4,5,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[2,3,5,7,6,4,8,1]=>[7,6,4,2,3,5,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[2,3,5,6,7,4,8,1]=>[7,6,4,3,2,5,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[4,3,2,7,6,5,8,1]=>[5,6,7,2,3,4,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[4,3,2,6,7,5,8,1]=>[5,6,7,3,2,4,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[3,4,2,6,7,5,8,1]=>[6,5,7,3,2,4,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,4,3,7,6,5,8,1]=>[7,5,6,2,3,4,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[3,2,4,7,6,5,8,1]=>[6,7,5,2,3,4,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[2,3,4,7,6,5,8,1]=>[7,6,5,2,3,4,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[2,3,4,6,7,5,8,1]=>[7,6,5,3,2,4,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[5,4,3,2,7,6,8,1]=>[4,5,6,7,2,3,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[4,5,3,2,7,6,8,1]=>[5,4,6,7,2,3,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[4,3,5,2,7,6,8,1]=>[5,6,4,7,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[3,4,5,2,7,6,8,1]=>[6,5,4,7,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[2,4,5,3,7,6,8,1]=>[7,5,4,6,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,2,5,4,7,6,8,1]=>[6,7,4,5,2,3,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,3,5,4,7,6,8,1]=>[7,6,4,5,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[4,3,2,5,7,6,8,1]=>[5,6,7,4,2,3,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[2,4,3,5,7,6,8,1]=>[7,5,6,4,2,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[3,2,4,5,7,6,8,1]=>[6,7,5,4,2,3,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[2,3,4,5,7,6,8,1]=>[7,6,5,4,2,3,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[2,6,5,4,3,7,8,1]=>[7,3,4,5,6,2,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[2,4,5,6,3,7,8,1]=>[7,5,4,3,6,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[3,2,5,6,4,7,8,1]=>[6,7,4,3,5,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[2,3,6,5,4,7,8,1]=>[7,6,3,4,5,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[2,3,5,6,4,7,8,1]=>[7,6,4,3,5,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[4,3,2,6,5,7,8,1]=>[5,6,7,3,4,2,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[3,4,2,6,5,7,8,1]=>[6,5,7,3,4,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[2,4,3,6,5,7,8,1]=>[7,5,6,3,4,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[3,2,4,6,5,7,8,1]=>[6,7,5,3,4,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[2,3,4,6,5,7,8,1]=>[7,6,5,3,4,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[2,5,4,3,6,7,8,1]=>[7,4,5,6,3,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[2,4,5,3,6,7,8,1]=>[7,5,4,6,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[3,2,5,4,6,7,8,1]=>[6,7,4,5,3,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,3,5,4,6,7,8,1]=>[7,6,4,5,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[2,4,3,5,6,7,8,1]=>[7,5,6,4,3,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[1,3,4,5,6,7,8],[2]]=>[2,6]
[1,7,8,6,5,4,3,2]=>[8,2,1,3,4,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[1,6,8,7,5,4,3,2]=>[8,3,1,2,4,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[1,7,6,8,5,4,3,2]=>[8,2,3,1,4,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[1,6,7,8,5,4,3,2]=>[8,3,2,1,4,5,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[1,5,8,7,6,4,3,2]=>[8,4,1,2,3,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[1,5,7,8,6,4,3,2]=>[8,4,2,1,3,5,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[1,6,5,8,7,4,3,2]=>[8,3,4,1,2,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,7,6,5,8,4,3,2]=>[8,2,3,4,1,5,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[1,5,7,6,8,4,3,2]=>[8,4,2,3,1,5,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[1,6,5,7,8,4,3,2]=>[8,3,4,2,1,5,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[1,5,6,7,8,4,3,2]=>[8,4,3,2,1,5,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,4,8,7,6,5,3,2]=>[8,5,1,2,3,4,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[1,4,7,8,6,5,3,2]=>[8,5,2,1,3,4,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[1,4,6,8,7,5,3,2]=>[8,5,3,1,2,4,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[1,4,6,7,8,5,3,2]=>[8,5,3,2,1,4,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,5,4,8,7,6,3,2]=>[8,4,5,1,2,3,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,4,5,8,7,6,3,2]=>[8,5,4,1,2,3,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[1,4,5,7,8,6,3,2]=>[8,5,4,2,1,3,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,6,5,4,8,7,3,2]=>[8,3,4,5,1,2,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[1,4,6,5,8,7,3,2]=>[8,5,3,4,1,2,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,7,6,5,4,8,3,2]=>[8,2,3,4,5,1,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[1,5,7,6,4,8,3,2]=>[8,4,2,3,5,1,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[1,4,7,6,5,8,3,2]=>[8,5,2,3,4,1,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[1,5,4,7,6,8,3,2]=>[8,4,5,2,3,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,6,5,4,7,8,3,2]=>[8,3,4,5,2,1,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[1,5,6,4,7,8,3,2]=>[8,4,3,5,2,1,6,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[1,5,4,6,7,8,3,2]=>[8,4,5,3,2,1,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[1,4,5,6,7,8,3,2]=>[8,5,4,3,2,1,6,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,3,8,7,6,5,4,2]=>[8,6,1,2,3,4,5,7]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[1,3,6,7,8,5,4,2]=>[8,6,3,2,1,4,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,3,5,8,7,6,4,2]=>[8,6,4,1,2,3,5,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[1,3,5,7,8,6,4,2]=>[8,6,4,2,1,3,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,3,6,5,8,7,4,2]=>[8,6,3,4,1,2,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,3,5,6,8,7,4,2]=>[8,6,4,3,1,2,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,3,7,6,5,8,4,2]=>[8,6,2,3,4,1,5,7]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[1,3,6,7,5,8,4,2]=>[8,6,3,2,4,1,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[1,3,5,7,6,8,4,2]=>[8,6,4,2,3,1,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[1,3,6,5,7,8,4,2]=>[8,6,3,4,2,1,5,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[1,3,5,6,7,8,4,2]=>[8,6,4,3,2,1,5,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,4,3,8,7,6,5,2]=>[8,5,6,1,2,3,4,7]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,4,3,7,8,6,5,2]=>[8,5,6,2,1,3,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,4,3,6,8,7,5,2]=>[8,5,6,3,1,2,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,4,3,7,6,8,5,2]=>[8,5,6,2,3,1,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,4,3,6,7,8,5,2]=>[8,5,6,3,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[1,3,4,8,7,6,5,2]=>[8,6,5,1,2,3,4,7]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[1,3,4,7,8,6,5,2]=>[8,6,5,2,1,3,4,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,3,4,7,6,8,5,2]=>[8,6,5,2,3,1,4,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[1,3,4,6,7,8,5,2]=>[8,6,5,3,2,1,4,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,5,4,3,8,7,6,2]=>[8,4,5,6,1,2,3,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[1,5,4,3,7,8,6,2]=>[8,4,5,6,2,1,3,7]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,3,5,4,8,7,6,2]=>[8,6,4,5,1,2,3,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,4,3,5,8,7,6,2]=>[8,5,6,4,1,2,3,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,4,3,5,7,8,6,2]=>[8,5,6,4,2,1,3,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[1,3,4,5,8,7,6,2]=>[8,6,5,4,1,2,3,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,3,4,5,7,8,6,2]=>[8,6,5,4,2,1,3,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,6,5,4,3,8,7,2]=>[8,3,4,5,6,1,2,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[1,5,6,4,3,8,7,2]=>[8,4,3,5,6,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,4,6,5,3,8,7,2]=>[8,5,3,4,6,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,5,4,6,3,8,7,2]=>[8,4,5,3,6,1,2,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,4,5,6,3,8,7,2]=>[8,5,4,3,6,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,3,6,5,4,8,7,2]=>[8,6,3,4,5,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,4,3,6,5,8,7,2]=>[8,5,6,3,4,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,3,4,6,5,8,7,2]=>[8,6,5,3,4,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,3,5,4,6,8,7,2]=>[8,6,4,5,3,1,2,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[1,3,4,5,6,8,7,2]=>[8,6,5,4,3,1,2,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,7,6,5,4,3,8,2]=>[8,2,3,4,5,6,1,7]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[1,6,7,5,4,3,8,2]=>[8,3,2,4,5,6,1,7]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[1,6,5,7,4,3,8,2]=>[8,3,4,2,5,6,1,7]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[1,4,7,6,5,3,8,2]=>[8,5,2,3,4,6,1,7]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[1,4,6,7,5,3,8,2]=>[8,5,3,2,4,6,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[1,5,4,7,6,3,8,2]=>[8,4,5,2,3,6,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[1,4,5,7,6,3,8,2]=>[8,5,4,2,3,6,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[1,5,6,4,7,3,8,2]=>[8,4,3,5,2,6,1,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[1,4,5,6,7,3,8,2]=>[8,5,4,3,2,6,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[1,3,6,7,5,4,8,2]=>[8,6,3,2,4,5,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[1,3,5,7,6,4,8,2]=>[8,6,4,2,3,5,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[1,4,3,7,6,5,8,2]=>[8,5,6,2,3,4,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[1,3,4,7,6,5,8,2]=>[8,6,5,2,3,4,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[1,3,4,6,7,5,8,2]=>[8,6,5,3,2,4,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[1,5,4,3,7,6,8,2]=>[8,4,5,6,2,3,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[1,4,3,5,7,6,8,2]=>[8,5,6,4,2,3,1,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[1,3,4,5,7,6,8,2]=>[8,6,5,4,2,3,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[1,6,5,4,3,7,8,2]=>[8,3,4,5,6,2,1,7]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[1,5,6,4,3,7,8,2]=>[8,4,3,5,6,2,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[1,5,4,6,3,7,8,2]=>[8,4,5,3,6,2,1,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[1,4,3,6,5,7,8,2]=>[8,5,6,3,4,2,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[1,3,4,6,5,7,8,2]=>[8,6,5,3,4,2,1,7]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[1,5,4,3,6,7,8,2]=>[8,4,5,6,3,2,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[1,3,5,4,6,7,8,2]=>[8,6,4,5,3,2,1,7]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[1,4,3,5,6,7,8,2]=>[8,5,6,4,3,2,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[1,3,4,5,6,7,8,2]=>[8,6,5,4,3,2,1,7]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[2,1,7,8,6,5,4,3]=>[7,8,2,1,3,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[2,1,6,8,7,5,4,3]=>[7,8,3,1,2,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[2,1,7,6,8,5,4,3]=>[7,8,2,3,1,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[2,1,6,7,8,5,4,3]=>[7,8,3,2,1,4,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,1,5,8,7,6,4,3]=>[7,8,4,1,2,3,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[2,1,5,7,8,6,4,3]=>[7,8,4,2,1,3,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,1,6,5,8,7,4,3]=>[7,8,3,4,1,2,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[2,1,5,6,8,7,4,3]=>[7,8,4,3,1,2,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,1,7,6,5,8,4,3]=>[7,8,2,3,4,1,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[2,1,6,7,5,8,4,3]=>[7,8,3,2,4,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[2,1,5,7,6,8,4,3]=>[7,8,4,2,3,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[2,1,6,5,7,8,4,3]=>[7,8,3,4,2,1,5,6]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[2,1,5,6,7,8,4,3]=>[7,8,4,3,2,1,5,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,1,4,8,7,6,5,3]=>[7,8,5,1,2,3,4,6]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[2,1,4,7,8,6,5,3]=>[7,8,5,2,1,3,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,1,4,6,8,7,5,3]=>[7,8,5,3,1,2,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,1,4,6,7,8,5,3]=>[7,8,5,3,2,1,4,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,1,5,4,8,7,6,3]=>[7,8,4,5,1,2,3,6]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[2,1,4,5,8,7,6,3]=>[7,8,5,4,1,2,3,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,1,4,5,7,8,6,3]=>[7,8,5,4,2,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,1,6,5,4,8,7,3]=>[7,8,3,4,5,1,2,6]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[2,1,4,5,6,8,7,3]=>[7,8,5,4,3,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,1,7,6,5,4,8,3]=>[7,8,2,3,4,5,1,6]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[2,1,6,5,7,4,8,3]=>[7,8,3,4,2,5,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[2,1,5,6,7,4,8,3]=>[7,8,4,3,2,5,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[2,1,4,7,6,5,8,3]=>[7,8,5,2,3,4,1,6]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[2,1,5,4,7,6,8,3]=>[7,8,4,5,2,3,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,1,6,5,4,7,8,3]=>[7,8,3,4,5,2,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[2,1,5,4,6,7,8,3]=>[7,8,4,5,3,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,1,4,5,6,7,8,3]=>[7,8,5,4,3,2,1,6]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[1,4,5,6,7,8],[2],[3]]=>[3,5]
[1,2,7,8,6,5,4,3]=>[8,7,2,1,3,4,5,6]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[1,2,7,6,8,5,4,3]=>[8,7,2,3,1,4,5,6]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[1,2,6,7,8,5,4,3]=>[8,7,3,2,1,4,5,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,2,5,8,7,6,4,3]=>[8,7,4,1,2,3,5,6]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[1,2,5,7,8,6,4,3]=>[8,7,4,2,1,3,5,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,2,6,5,8,7,4,3]=>[8,7,3,4,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,2,7,6,5,8,4,3]=>[8,7,2,3,4,1,5,6]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[1,2,6,5,7,8,4,3]=>[8,7,3,4,2,1,5,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[1,2,5,6,7,8,4,3]=>[8,7,4,3,2,1,5,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,2,4,8,7,6,5,3]=>[8,7,5,1,2,3,4,6]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[1,2,4,7,8,6,5,3]=>[8,7,5,2,1,3,4,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,2,4,6,8,7,5,3]=>[8,7,5,3,1,2,4,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,2,4,6,7,8,5,3]=>[8,7,5,3,2,1,4,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,2,5,4,8,7,6,3]=>[8,7,4,5,1,2,3,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,2,4,5,8,7,6,3]=>[8,7,5,4,1,2,3,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,2,6,5,4,8,7,3]=>[8,7,3,4,5,1,2,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,2,4,6,5,8,7,3]=>[8,7,5,3,4,1,2,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,2,4,5,6,8,7,3]=>[8,7,5,4,3,1,2,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,2,7,6,5,4,8,3]=>[8,7,2,3,4,5,1,6]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[1,2,6,5,7,4,8,3]=>[8,7,3,4,2,5,1,6]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[1,2,5,6,7,4,8,3]=>[8,7,4,3,2,5,1,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[1,2,4,6,7,5,8,3]=>[8,7,5,3,2,4,1,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[1,2,5,4,7,6,8,3]=>[8,7,4,5,2,3,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,2,6,5,4,7,8,3]=>[8,7,3,4,5,2,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[1,2,4,6,5,7,8,3]=>[8,7,5,3,4,2,1,6]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[1,2,5,4,6,7,8,3]=>[8,7,4,5,3,2,1,6]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[1,2,4,5,6,7,8,3]=>[8,7,5,4,3,2,1,6]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[3,2,1,7,8,6,5,4]=>[6,7,8,2,1,3,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[3,2,1,6,8,7,5,4]=>[6,7,8,3,1,2,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[3,2,1,7,6,8,5,4]=>[6,7,8,2,3,1,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[3,2,1,6,7,8,5,4]=>[6,7,8,3,2,1,4,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[3,2,1,5,8,7,6,4]=>[6,7,8,4,1,2,3,5]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[3,2,1,5,7,8,6,4]=>[6,7,8,4,2,1,3,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[3,2,1,6,5,8,7,4]=>[6,7,8,3,4,1,2,5]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[3,2,1,5,6,8,7,4]=>[6,7,8,4,3,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[3,2,1,7,6,5,8,4]=>[6,7,8,2,3,4,1,5]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,2,1,6,7,5,8,4]=>[6,7,8,3,2,4,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[3,2,1,5,7,6,8,4]=>[6,7,8,4,2,3,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[3,2,1,6,5,7,8,4]=>[6,7,8,3,4,2,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[3,2,1,5,6,7,8,4]=>[6,7,8,4,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[2,3,1,8,7,6,5,4]=>[7,6,8,1,2,3,4,5]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,3,1,6,8,7,5,4]=>[7,6,8,3,1,2,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,3,1,7,6,8,5,4]=>[7,6,8,2,3,1,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,3,1,6,7,8,5,4]=>[7,6,8,3,2,1,4,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,3,1,5,8,7,6,4]=>[7,6,8,4,1,2,3,5]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,3,1,7,6,5,8,4]=>[7,6,8,2,3,4,1,5]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,3,1,5,7,6,8,4]=>[7,6,8,4,2,3,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,3,1,5,6,7,8,4]=>[7,6,8,4,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,3,2,7,8,6,5,4]=>[8,6,7,2,1,3,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,3,2,6,8,7,5,4]=>[8,6,7,3,1,2,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,3,2,7,6,8,5,4]=>[8,6,7,2,3,1,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,3,2,6,7,8,5,4]=>[8,6,7,3,2,1,4,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[1,3,2,5,7,8,6,4]=>[8,6,7,4,2,1,3,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[1,3,2,6,5,8,7,4]=>[8,6,7,3,4,1,2,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,3,2,7,6,5,8,4]=>[8,6,7,2,3,4,1,5]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[1,3,2,6,7,5,8,4]=>[8,6,7,3,2,4,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[1,3,2,5,6,7,8,4]=>[8,6,7,4,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[2,1,3,7,8,6,5,4]=>[7,8,6,2,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,1,3,6,8,7,5,4]=>[7,8,6,3,1,2,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,1,3,7,6,8,5,4]=>[7,8,6,2,3,1,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[2,1,3,6,7,8,5,4]=>[7,8,6,3,2,1,4,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,1,3,5,8,7,6,4]=>[7,8,6,4,1,2,3,5]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,1,3,5,7,8,6,4]=>[7,8,6,4,2,1,3,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,1,3,6,5,8,7,4]=>[7,8,6,3,4,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[2,1,3,6,5,7,8,4]=>[7,8,6,3,4,2,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[2,1,3,5,6,7,8,4]=>[7,8,6,4,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,4]
[1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,2,3,7,6,8,5,4]=>[8,7,6,2,3,1,4,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,2,3,5,7,8,6,4]=>[8,7,6,4,2,1,3,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,2,3,5,6,8,7,4]=>[8,7,6,4,3,1,2,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,2,3,7,6,5,8,4]=>[8,7,6,2,3,4,1,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[1,2,3,6,7,5,8,4]=>[8,7,6,3,2,4,1,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[4,3,2,1,7,8,6,5]=>[5,6,7,8,2,1,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[4,3,2,1,6,8,7,5]=>[5,6,7,8,3,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[4,3,2,1,7,6,8,5]=>[5,6,7,8,2,3,1,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[4,3,2,1,6,7,8,5]=>[5,6,7,8,3,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[3,4,2,1,8,7,6,5]=>[6,5,7,8,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[3,4,2,1,7,8,6,5]=>[6,5,7,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[3,4,2,1,6,8,7,5]=>[6,5,7,8,3,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[3,4,2,1,7,6,8,5]=>[6,5,7,8,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[3,4,2,1,6,7,8,5]=>[6,5,7,8,3,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,4,3,1,8,7,6,5]=>[7,5,6,8,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,4,3,1,7,8,6,5]=>[7,5,6,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,4,3,1,6,8,7,5]=>[7,5,6,8,3,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,4,3,1,7,6,8,5]=>[7,5,6,8,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[2,4,3,1,6,7,8,5]=>[7,5,6,8,3,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[3,2,4,1,8,7,6,5]=>[6,7,5,8,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,2,4,1,7,8,6,5]=>[6,7,5,8,2,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[3,2,4,1,6,8,7,5]=>[6,7,5,8,3,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[3,2,4,1,7,6,8,5]=>[6,7,5,8,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[3,2,4,1,6,7,8,5]=>[6,7,5,8,3,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[2,3,4,1,8,7,6,5]=>[7,6,5,8,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,3,4,1,7,8,6,5]=>[7,6,5,8,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[2,3,4,1,6,8,7,5]=>[7,6,5,8,3,1,2,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[2,3,4,1,7,6,8,5]=>[7,6,5,8,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[2,3,4,1,6,7,8,5]=>[7,6,5,8,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[1,4,3,2,7,8,6,5]=>[8,5,6,7,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[1,4,3,2,7,6,8,5]=>[8,5,6,7,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[1,4,3,2,6,7,8,5]=>[8,5,6,7,3,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[1,3,4,2,8,7,6,5]=>[8,6,5,7,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,3,4,2,7,8,6,5]=>[8,6,5,7,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[1,3,4,2,7,6,8,5]=>[8,6,5,7,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,3,4,2,6,7,8,5]=>[8,6,5,7,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[2,1,4,3,7,8,6,5]=>[7,8,5,6,2,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[2,1,4,3,6,8,7,5]=>[7,8,5,6,3,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[2,1,4,3,7,6,8,5]=>[7,8,5,6,2,3,1,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,1,4,3,6,7,8,5]=>[7,8,5,6,3,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,2,4,3,7,8,6,5]=>[8,7,5,6,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[1,2,4,3,6,8,7,5]=>[8,7,5,6,3,1,2,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,2,4,3,6,7,8,5]=>[8,7,5,6,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[3,2,1,4,7,8,6,5]=>[6,7,8,5,2,1,3,4]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[3,2,1,4,7,6,8,5]=>[6,7,8,5,2,3,1,4]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[3,2,1,4,6,7,8,5]=>[6,7,8,5,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[2,3,1,4,8,7,6,5]=>[7,6,8,5,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,3,1,4,7,8,6,5]=>[7,6,8,5,2,1,3,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,3,1,4,6,8,7,5]=>[7,6,8,5,3,1,2,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,3,1,4,7,6,8,5]=>[7,6,8,5,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,3,1,4,6,7,8,5]=>[7,6,8,5,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,3,2,4,6,8,7,5]=>[8,6,7,5,3,1,2,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[1,3,2,4,7,6,8,5]=>[8,6,7,5,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,1,3,4,7,8,6,5]=>[7,8,6,5,2,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,1,3,4,6,8,7,5]=>[7,8,6,5,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,1,3,4,7,6,8,5]=>[7,8,6,5,2,3,1,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[2,1,3,4,6,7,8,5]=>[7,8,6,5,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,3]
[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,2,3,4,6,8,7,5]=>[8,7,6,5,3,1,2,4]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[5,4,3,2,1,7,8,6]=>[4,5,6,7,8,2,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[4,5,3,2,1,8,7,6]=>[5,4,6,7,8,1,2,3]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[4,5,3,2,1,7,8,6]=>[5,4,6,7,8,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[4,3,5,2,1,8,7,6]=>[5,6,4,7,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,4,5,2,1,8,7,6]=>[6,5,4,7,8,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[2,5,4,3,1,7,8,6]=>[7,4,5,6,8,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,4,5,3,1,8,7,6]=>[7,5,4,6,8,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[3,2,5,4,1,8,7,6]=>[6,7,4,5,8,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[2,3,5,4,1,7,8,6]=>[7,6,4,5,8,2,1,3]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[4,3,2,5,1,8,7,6]=>[5,6,7,4,8,1,2,3]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,3,2,5,1,7,8,6]=>[5,6,7,4,8,2,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[3,4,2,5,1,8,7,6]=>[6,5,7,4,8,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[3,4,2,5,1,7,8,6]=>[6,5,7,4,8,2,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[3,2,4,5,1,8,7,6]=>[6,7,5,4,8,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[3,2,4,5,1,7,8,6]=>[6,7,5,4,8,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[2,3,4,5,1,8,7,6]=>[7,6,5,4,8,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[2,3,4,5,1,7,8,6]=>[7,6,5,4,8,2,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[1,5,4,3,2,7,8,6]=>[8,4,5,6,7,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[1,4,5,3,2,8,7,6]=>[8,5,4,6,7,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,3,5,4,2,8,7,6]=>[8,6,4,5,7,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,4,3,5,2,8,7,6]=>[8,5,6,4,7,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[1,3,4,5,2,8,7,6]=>[8,6,5,4,7,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[2,1,5,4,3,8,7,6]=>[7,8,4,5,6,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[2,1,4,5,3,8,7,6]=>[7,8,5,4,6,1,2,3]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,2,1,5,4,8,7,6]=>[6,7,8,4,5,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,2,3,5,4,8,7,6]=>[8,7,6,4,5,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,2,3,5,4,7,8,6]=>[8,7,6,4,5,2,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[4,3,2,1,5,7,8,6]=>[5,6,7,8,4,2,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[3,4,2,1,5,8,7,6]=>[6,5,7,8,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[3,4,2,1,5,7,8,6]=>[6,5,7,8,4,2,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,4,3,1,5,8,7,6]=>[7,5,6,8,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,4,3,1,5,7,8,6]=>[7,5,6,8,4,2,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[3,2,4,1,5,8,7,6]=>[6,7,5,8,4,1,2,3]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[3,2,4,1,5,7,8,6]=>[6,7,5,8,4,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[2,3,4,1,5,8,7,6]=>[7,6,5,8,4,1,2,3]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[2,3,4,1,5,7,8,6]=>[7,6,5,8,4,2,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[1,3,4,2,5,8,7,6]=>[8,6,5,7,4,1,2,3]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[2,1,4,3,5,8,7,6]=>[7,8,5,6,4,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[2,1,4,3,5,7,8,6]=>[7,8,5,6,4,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[1,2,4,3,5,7,8,6]=>[8,7,5,6,4,2,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[3,2,1,4,5,7,8,6]=>[6,7,8,5,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[2,3,1,4,5,8,7,6]=>[7,6,8,5,4,1,2,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,3,1,4,5,7,8,6]=>[7,6,8,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[1,3,2,4,5,7,8,6]=>[8,6,7,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[2,1,3,4,5,8,7,6]=>[7,8,6,5,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,1,3,4,5,7,8,6]=>[7,8,6,5,4,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,2,3,4,5,8,7,6]=>[8,7,6,5,4,1,2,3]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,2]
[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[5,6,4,3,2,1,8,7]=>[4,3,5,6,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[4,6,5,3,2,1,8,7]=>[5,3,4,6,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[5,4,6,3,2,1,8,7]=>[4,5,3,6,7,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[4,5,6,3,2,1,8,7]=>[5,4,3,6,7,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,6,5,4,2,1,8,7]=>[6,3,4,5,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[3,5,6,4,2,1,8,7]=>[6,4,3,5,7,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,3,6,5,2,1,8,7]=>[5,6,3,4,7,8,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[5,4,3,6,2,1,8,7]=>[4,5,6,3,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[4,5,3,6,2,1,8,7]=>[5,4,6,3,7,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,3,5,6,2,1,8,7]=>[5,6,4,3,7,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,4,5,6,2,1,8,7]=>[6,5,4,3,7,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,6,5,4,3,1,8,7]=>[7,3,4,5,6,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,4,6,5,3,1,8,7]=>[7,5,3,4,6,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,5,4,6,3,1,8,7]=>[7,4,5,3,6,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[2,4,5,6,3,1,8,7]=>[7,5,4,3,6,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,3,6,5,4,1,8,7]=>[7,6,3,4,5,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,3,5,6,4,1,8,7]=>[7,6,4,3,5,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,3,4,6,5,1,8,7]=>[7,6,5,3,4,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[5,4,3,2,6,1,8,7]=>[4,5,6,7,3,8,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[4,3,5,2,6,1,8,7]=>[5,6,4,7,3,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,4,5,2,6,1,8,7]=>[6,5,4,7,3,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[2,4,5,3,6,1,8,7]=>[7,5,4,6,3,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[3,2,5,4,6,1,8,7]=>[6,7,4,5,3,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,3,2,5,6,1,8,7]=>[5,6,7,4,3,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,4,3,5,6,1,8,7]=>[7,5,6,4,3,8,1,2]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[2,3,4,5,6,1,8,7]=>[7,6,5,4,3,8,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,5,6,4,3,2,8,7]=>[8,4,3,5,6,7,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,4,6,5,3,2,8,7]=>[8,5,3,4,6,7,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,4,5,6,3,2,8,7]=>[8,5,4,3,6,7,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[1,4,5,3,6,2,8,7]=>[8,5,4,6,3,7,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[1,3,4,5,6,2,8,7]=>[8,6,5,4,3,7,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[2,1,5,6,4,3,8,7]=>[7,8,4,3,5,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[2,1,4,6,5,3,8,7]=>[7,8,5,3,4,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[2,1,5,4,6,3,8,7]=>[7,8,4,5,3,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[2,1,4,5,6,3,8,7]=>[7,8,5,4,3,6,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,2,6,5,4,3,8,7]=>[8,7,3,4,5,6,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,2,5,6,4,3,8,7]=>[8,7,4,3,5,6,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[1,2,5,4,6,3,8,7]=>[8,7,4,5,3,6,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[3,2,1,5,6,4,8,7]=>[6,7,8,4,3,5,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[1,3,2,6,5,4,8,7]=>[8,6,7,3,4,5,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[3,4,2,1,6,5,8,7]=>[6,5,7,8,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,4,3,1,6,5,8,7]=>[7,5,6,8,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[3,2,4,1,6,5,8,7]=>[6,7,5,8,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[2,3,4,1,6,5,8,7]=>[7,6,5,8,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,4,3,2,6,5,8,7]=>[8,5,6,7,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[1,3,4,2,6,5,8,7]=>[8,6,5,7,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[1,2,4,3,6,5,8,7]=>[8,7,5,6,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,2,1,4,6,5,8,7]=>[6,7,8,5,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[2,3,1,4,6,5,8,7]=>[7,6,8,5,3,4,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[2,1,3,4,6,5,8,7]=>[7,8,6,5,3,4,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,2,3,4,6,5,8,7]=>[8,7,6,5,3,4,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[4,5,3,2,1,6,8,7]=>[5,4,6,7,8,3,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[4,3,5,2,1,6,8,7]=>[5,6,4,7,8,3,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[3,4,5,2,1,6,8,7]=>[6,5,4,7,8,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[3,2,5,4,1,6,8,7]=>[6,7,4,5,8,3,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[2,3,5,4,1,6,8,7]=>[7,6,4,5,8,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[3,4,2,5,1,6,8,7]=>[6,5,7,4,8,3,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[2,4,3,5,1,6,8,7]=>[7,5,6,4,8,3,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[2,3,4,5,1,6,8,7]=>[7,6,5,4,8,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[1,4,5,3,2,6,8,7]=>[8,5,4,6,7,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,3,5,4,2,6,8,7]=>[8,6,4,5,7,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,4,3,5,2,6,8,7]=>[8,5,6,4,7,3,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[1,2,4,5,3,6,8,7]=>[8,7,5,4,6,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[3,2,1,5,4,6,8,7]=>[6,7,8,4,5,3,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[1,3,2,5,4,6,8,7]=>[8,6,7,4,5,3,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[1,2,3,5,4,6,8,7]=>[8,7,6,4,5,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[3,4,2,1,5,6,8,7]=>[6,5,7,8,4,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,4,3,1,5,6,8,7]=>[7,5,6,8,4,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[3,2,4,1,5,6,8,7]=>[6,7,5,8,4,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[2,3,4,1,5,6,8,7]=>[7,6,5,8,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[1,3,4,2,5,6,8,7]=>[8,6,5,7,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[2,1,4,3,5,6,8,7]=>[7,8,5,6,4,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[1,2,4,3,5,6,8,7]=>[8,7,5,6,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[3,2,1,4,5,6,8,7]=>[6,7,8,5,4,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[2,3,1,4,5,6,8,7]=>[7,6,8,5,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[1,3,2,4,5,6,8,7]=>[8,6,7,5,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,2,3,4,5,6,8,7]=>[8,7,6,5,4,3,1,2]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,1]
[5,7,6,4,3,2,1,8]=>[4,2,3,5,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[4,7,6,5,3,2,1,8]=>[5,2,3,4,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[4,6,7,5,3,2,1,8]=>[5,3,2,4,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[5,4,7,6,3,2,1,8]=>[4,5,2,3,6,7,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[4,5,7,6,3,2,1,8]=>[5,4,2,3,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[4,6,5,7,3,2,1,8]=>[5,3,4,2,6,7,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[3,7,6,5,4,2,1,8]=>[6,2,3,4,5,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[3,4,7,6,5,2,1,8]=>[6,5,2,3,4,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[3,4,6,7,5,2,1,8]=>[6,5,3,2,4,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[5,4,3,7,6,2,1,8]=>[4,5,6,2,3,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,5,3,7,6,2,1,8]=>[5,4,6,2,3,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,5,4,7,6,2,1,8]=>[6,4,5,2,3,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,3,5,7,6,2,1,8]=>[5,6,4,2,3,7,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,4,5,7,6,2,1,8]=>[6,5,4,2,3,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[3,6,5,4,7,2,1,8]=>[6,3,4,5,2,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[3,4,6,5,7,2,1,8]=>[6,5,3,4,2,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[2,7,6,5,4,3,1,8]=>[7,2,3,4,5,6,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,6,7,5,4,3,1,8]=>[7,3,2,4,5,6,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[2,5,6,7,4,3,1,8]=>[7,4,3,2,5,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[2,4,7,6,5,3,1,8]=>[7,5,2,3,4,6,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[2,4,6,7,5,3,1,8]=>[7,5,3,2,4,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[2,5,4,7,6,3,1,8]=>[7,4,5,2,3,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,4,5,7,6,3,1,8]=>[7,5,4,2,3,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[2,5,6,4,7,3,1,8]=>[7,4,3,5,2,6,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[2,4,5,6,7,3,1,8]=>[7,5,4,3,2,6,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[3,2,7,6,5,4,1,8]=>[6,7,2,3,4,5,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[3,2,6,7,5,4,1,8]=>[6,7,3,2,4,5,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,2,5,6,7,4,1,8]=>[6,7,4,3,2,5,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[2,3,7,6,5,4,1,8]=>[7,6,2,3,4,5,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[2,3,6,7,5,4,1,8]=>[7,6,3,2,4,5,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[2,3,5,7,6,4,1,8]=>[7,6,4,2,3,5,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[4,3,2,7,6,5,1,8]=>[5,6,7,2,3,4,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[3,4,2,6,7,5,1,8]=>[6,5,7,3,2,4,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[2,4,3,7,6,5,1,8]=>[7,5,6,2,3,4,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,2,4,6,7,5,1,8]=>[6,7,5,3,2,4,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[2,3,4,7,6,5,1,8]=>[7,6,5,2,3,4,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[2,3,4,6,7,5,1,8]=>[7,6,5,3,2,4,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[5,4,3,2,7,6,1,8]=>[4,5,6,7,2,3,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[4,5,3,2,7,6,1,8]=>[5,4,6,7,2,3,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[4,3,5,2,7,6,1,8]=>[5,6,4,7,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[3,4,5,2,7,6,1,8]=>[6,5,4,7,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[2,5,4,3,7,6,1,8]=>[7,4,5,6,2,3,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,4,5,3,7,6,1,8]=>[7,5,4,6,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[3,2,5,4,7,6,1,8]=>[6,7,4,5,2,3,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[2,3,5,4,7,6,1,8]=>[7,6,4,5,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[4,3,2,5,7,6,1,8]=>[5,6,7,4,2,3,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[3,4,2,5,7,6,1,8]=>[6,5,7,4,2,3,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[2,4,3,5,7,6,1,8]=>[7,5,6,4,2,3,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[3,2,4,5,7,6,1,8]=>[6,7,5,4,2,3,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[2,3,4,5,7,6,1,8]=>[7,6,5,4,2,3,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[3,6,5,4,2,7,1,8]=>[6,3,4,5,7,2,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[3,5,6,4,2,7,1,8]=>[6,4,3,5,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[4,3,6,5,2,7,1,8]=>[5,6,3,4,7,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[3,4,6,5,2,7,1,8]=>[6,5,3,4,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[3,5,4,6,2,7,1,8]=>[6,4,5,3,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[2,6,5,4,3,7,1,8]=>[7,3,4,5,6,2,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[2,4,6,5,3,7,1,8]=>[7,5,3,4,6,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[2,5,4,6,3,7,1,8]=>[7,4,5,3,6,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[2,4,5,6,3,7,1,8]=>[7,5,4,3,6,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[2,3,6,5,4,7,1,8]=>[7,6,3,4,5,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[2,3,5,6,4,7,1,8]=>[7,6,4,3,5,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[3,4,2,6,5,7,1,8]=>[6,5,7,3,4,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[2,4,3,6,5,7,1,8]=>[7,5,6,3,4,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[2,3,4,6,5,7,1,8]=>[7,6,5,3,4,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[3,5,4,2,6,7,1,8]=>[6,4,5,7,3,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[2,5,4,3,6,7,1,8]=>[7,4,5,6,3,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[3,2,5,4,6,7,1,8]=>[6,7,4,5,3,2,8,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[2,3,5,4,6,7,1,8]=>[7,6,4,5,3,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[2,4,3,5,6,7,1,8]=>[7,5,6,4,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[1,6,7,5,4,3,2,8]=>[8,3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[1,5,7,6,4,3,2,8]=>[8,4,2,3,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[1,6,5,7,4,3,2,8]=>[8,3,4,2,5,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[1,5,6,7,4,3,2,8]=>[8,4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[1,5,4,7,6,3,2,8]=>[8,4,5,2,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,4,5,7,6,3,2,8]=>[8,5,4,2,3,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[1,6,5,4,7,3,2,8]=>[8,3,4,5,2,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[1,4,6,5,7,3,2,8]=>[8,5,3,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[1,5,4,6,7,3,2,8]=>[8,4,5,3,2,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[1,4,5,6,7,3,2,8]=>[8,5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[1,3,7,6,5,4,2,8]=>[8,6,2,3,4,5,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[1,3,5,7,6,4,2,8]=>[8,6,4,2,3,5,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[1,3,5,6,7,4,2,8]=>[8,6,4,3,2,5,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[1,3,4,6,7,5,2,8]=>[8,6,5,3,2,4,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[1,3,4,5,7,6,2,8]=>[8,6,5,4,2,3,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[1,6,5,4,3,7,2,8]=>[8,3,4,5,6,2,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[1,5,6,4,3,7,2,8]=>[8,4,3,5,6,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[1,5,4,6,3,7,2,8]=>[8,4,5,3,6,2,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[1,4,5,6,3,7,2,8]=>[8,5,4,3,6,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[1,3,6,5,4,7,2,8]=>[8,6,3,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[1,3,5,6,4,7,2,8]=>[8,6,4,3,5,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[1,4,3,6,5,7,2,8]=>[8,5,6,3,4,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,3,4,6,5,7,2,8]=>[8,6,5,3,4,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[1,4,5,3,6,7,2,8]=>[8,5,4,6,3,2,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[1,3,5,4,6,7,2,8]=>[8,6,4,5,3,2,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[1,4,3,5,6,7,2,8]=>[8,5,6,4,3,2,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[1,3,4,5,6,7,2,8]=>[8,6,5,4,3,2,7,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[6,2]
[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[2,1,6,7,5,4,3,8]=>[7,8,3,2,4,5,6,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[2,1,5,7,6,4,3,8]=>[7,8,4,2,3,5,6,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[2,1,6,5,7,4,3,8]=>[7,8,3,4,2,5,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[2,1,5,6,7,4,3,8]=>[7,8,4,3,2,5,6,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[2,1,4,6,5,7,3,8]=>[7,8,5,3,4,2,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[2,1,4,5,6,7,3,8]=>[7,8,5,4,3,2,6,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[1,2,5,6,7,4,3,8]=>[8,7,4,3,2,5,6,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[1,2,4,6,7,5,3,8]=>[8,7,5,3,2,4,6,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[1,2,5,6,4,7,3,8]=>[8,7,4,3,5,2,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[1,2,4,6,5,7,3,8]=>[8,7,5,3,4,2,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[1,2,4,5,6,7,3,8]=>[8,7,5,4,3,2,6,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[6,2]
[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[3,2,1,6,7,5,4,8]=>[6,7,8,3,2,4,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[3,2,1,5,7,6,4,8]=>[6,7,8,4,2,3,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[3,2,1,5,6,7,4,8]=>[6,7,8,4,3,2,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[2,3,1,7,6,5,4,8]=>[7,6,8,2,3,4,5,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,3,1,5,7,6,4,8]=>[7,6,8,4,2,3,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[2,3,1,6,5,7,4,8]=>[7,6,8,3,4,2,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[2,3,1,5,6,7,4,8]=>[7,6,8,4,3,2,5,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,3,2,6,7,5,4,8]=>[8,6,7,3,2,4,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[1,3,2,6,5,7,4,8]=>[8,6,7,3,4,2,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,3,2,5,6,7,4,8]=>[8,6,7,4,3,2,5,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[2,1,3,7,6,5,4,8]=>[7,8,6,2,3,4,5,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[2,1,3,6,7,5,4,8]=>[7,8,6,3,2,4,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[2,1,3,6,5,7,4,8]=>[7,8,6,3,4,2,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[2,1,3,5,6,7,4,8]=>[7,8,6,4,3,2,5,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[1,2,3,6,7,5,4,8]=>[8,7,6,3,2,4,5,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[1,2,3,6,5,7,4,8]=>[8,7,6,3,4,2,5,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[1,2,3,5,6,7,4,8]=>[8,7,6,4,3,2,5,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[6,2]
[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[4,3,2,1,6,7,5,8]=>[5,6,7,8,3,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[3,4,2,1,7,6,5,8]=>[6,5,7,8,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[3,2,4,1,7,6,5,8]=>[6,7,5,8,2,3,4,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[3,2,4,1,6,7,5,8]=>[6,7,5,8,3,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[2,3,4,1,7,6,5,8]=>[7,6,5,8,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[2,3,4,1,6,7,5,8]=>[7,6,5,8,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[1,4,3,2,6,7,5,8]=>[8,5,6,7,3,2,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[2,1,4,3,7,6,5,8]=>[7,8,5,6,2,3,4,1]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[1,2,4,3,6,7,5,8]=>[8,7,5,6,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[3,2,1,4,6,7,5,8]=>[6,7,8,5,3,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[2,3,1,4,7,6,5,8]=>[7,6,8,5,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[2,3,1,4,6,7,5,8]=>[7,6,8,5,3,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[1,3,2,4,7,6,5,8]=>[8,6,7,5,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[1,3,2,4,6,7,5,8]=>[8,6,7,5,3,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[2,1,3,4,6,7,5,8]=>[7,8,6,5,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[1,2,3,4,6,7,5,8]=>[8,7,6,5,3,2,4,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[6,2]
[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[3,2,5,4,1,7,6,8]=>[6,7,4,5,8,2,3,1]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[3,4,2,5,1,7,6,8]=>[6,5,7,4,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,4,3,5,1,7,6,8]=>[7,5,6,4,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,3,4,5,1,7,6,8]=>[7,6,5,4,8,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,3,5,4,2,7,6,8]=>[8,6,4,5,7,2,3,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[1,4,3,5,2,7,6,8]=>[8,5,6,4,7,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,3,4,5,2,7,6,8]=>[8,6,5,4,7,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[2,1,5,4,3,7,6,8]=>[7,8,4,5,6,2,3,1]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[1,2,5,4,3,7,6,8]=>[8,7,4,5,6,2,3,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[1,2,4,5,3,7,6,8]=>[8,7,5,4,6,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[2,3,1,5,4,7,6,8]=>[7,6,8,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[1,2,3,5,4,7,6,8]=>[8,7,6,4,5,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[2,4,3,1,5,7,6,8]=>[7,5,6,8,4,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[3,2,4,1,5,7,6,8]=>[6,7,5,8,4,2,3,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[2,3,4,1,5,7,6,8]=>[7,6,5,8,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,3,4,2,5,7,6,8]=>[8,6,5,7,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[1,2,4,3,5,7,6,8]=>[8,7,5,6,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[2,3,1,4,5,7,6,8]=>[7,6,8,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[2,1,3,4,5,7,6,8]=>[7,8,6,5,4,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,2,3,4,5,7,6,8]=>[8,7,6,5,4,2,3,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[6,2]
[4,6,5,3,2,1,7,8]=>[5,3,4,6,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[3,6,5,4,2,1,7,8]=>[6,3,4,5,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[3,4,6,5,2,1,7,8]=>[6,5,3,4,7,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[2,6,5,4,3,1,7,8]=>[7,3,4,5,6,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[2,4,6,5,3,1,7,8]=>[7,5,3,4,6,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[2,4,5,6,3,1,7,8]=>[7,5,4,3,6,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[2,3,6,5,4,1,7,8]=>[7,6,3,4,5,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[2,3,5,6,4,1,7,8]=>[7,6,4,3,5,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[2,3,4,6,5,1,7,8]=>[7,6,5,3,4,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[3,5,4,2,6,1,7,8]=>[6,4,5,7,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[2,5,4,3,6,1,7,8]=>[7,4,5,6,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[2,4,5,3,6,1,7,8]=>[7,5,4,6,3,8,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[3,2,5,4,6,1,7,8]=>[6,7,4,5,3,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[2,4,3,5,6,1,7,8]=>[7,5,6,4,3,8,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[1,5,6,4,3,2,7,8]=>[8,4,3,5,6,7,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[1,4,6,5,3,2,7,8]=>[8,5,3,4,6,7,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[1,4,5,6,3,2,7,8]=>[8,5,4,3,6,7,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[1,3,5,6,4,2,7,8]=>[8,6,4,3,5,7,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[1,3,4,5,6,2,7,8]=>[8,6,5,4,3,7,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[5,3]
[2,1,6,5,4,3,7,8]=>[7,8,3,4,5,6,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[2,1,4,6,5,3,7,8]=>[7,8,5,3,4,6,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[2,1,4,5,6,3,7,8]=>[7,8,5,4,3,6,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[1,2,5,6,4,3,7,8]=>[8,7,4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[1,2,4,6,5,3,7,8]=>[8,7,5,3,4,6,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[1,2,5,4,6,3,7,8]=>[8,7,4,5,3,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[5,3]
[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[3,2,1,5,6,4,7,8]=>[6,7,8,4,3,5,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[2,3,1,6,5,4,7,8]=>[7,6,8,3,4,5,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[2,3,1,5,6,4,7,8]=>[7,6,8,4,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,3,2,5,6,4,7,8]=>[8,6,7,4,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[2,1,3,6,5,4,7,8]=>[7,8,6,3,4,5,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[2,1,3,5,6,4,7,8]=>[7,8,6,4,3,5,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[1,2,3,5,6,4,7,8]=>[8,7,6,4,3,5,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[5,3]
[4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[3,4,2,1,6,5,7,8]=>[6,5,7,8,3,4,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[3,2,4,1,6,5,7,8]=>[6,7,5,8,3,4,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[2,3,4,1,6,5,7,8]=>[7,6,5,8,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[1,4,3,2,6,5,7,8]=>[8,5,6,7,3,4,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,1,4,3,6,5,7,8]=>[7,8,5,6,3,4,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[2,3,1,4,6,5,7,8]=>[7,6,8,5,3,4,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[1,3,2,4,6,5,7,8]=>[8,6,7,5,3,4,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[2,1,3,4,6,5,7,8]=>[7,8,6,5,3,4,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,2,3,4,6,5,7,8]=>[8,7,6,5,3,4,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[5,3]
[3,5,4,2,1,6,7,8]=>[6,4,5,7,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[2,5,4,3,1,6,7,8]=>[7,4,5,6,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[2,4,5,3,1,6,7,8]=>[7,5,4,6,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[3,2,5,4,1,6,7,8]=>[6,7,4,5,8,3,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[2,3,5,4,1,6,7,8]=>[7,6,4,5,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[2,4,3,5,1,6,7,8]=>[7,5,6,4,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[1,3,5,4,2,6,7,8]=>[8,6,4,5,7,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[1,4,3,5,2,6,7,8]=>[8,5,6,4,7,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,3,4,5,2,6,7,8]=>[8,6,5,4,7,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[1,2,5,4,3,6,7,8]=>[8,7,4,5,6,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[1,2,4,5,3,6,7,8]=>[8,7,5,4,6,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[2,3,1,5,4,6,7,8]=>[7,6,8,4,5,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[1,3,2,5,4,6,7,8]=>[8,6,7,4,5,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[2,1,3,5,4,6,7,8]=>[7,8,6,4,5,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[2,4,3,1,5,6,7,8]=>[7,5,6,8,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[1,3,4,2,5,6,7,8]=>[8,6,5,7,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[3,5]
[2,1,4,3,5,6,7,8]=>[7,8,5,6,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[3,5]
[1,3,2,4,5,6,7,8]=>[8,6,7,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[2,6]
[1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[1,2,3,5,8,6,7,4]=>[8,7,6,4,1,3,2,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[1,2,3,7,5,6,8,4]=>[8,7,6,2,4,3,1,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[1,2,3,8,6,7,5,4]=>[8,7,6,1,3,2,4,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[1,2,4,5,8,6,7,3]=>[8,7,5,4,1,3,2,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[1,2,4,7,5,6,3,8]=>[8,7,5,2,4,3,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[1,2,4,8,5,6,7,3]=>[8,7,5,1,4,3,2,6]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[1,2,4,8,5,7,6,3]=>[8,7,5,1,4,2,3,6]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[1,2,5,4,8,6,7,3]=>[8,7,4,5,1,3,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[1,2,6,4,5,7,3,8]=>[8,7,3,5,4,2,6,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[1,2,6,4,5,7,8,3]=>[8,7,3,5,4,2,1,6]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[1,2,7,4,5,6,8,3]=>[8,7,2,5,4,3,1,6]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[1,2,7,5,4,6,8,3]=>[8,7,2,4,5,3,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[1,2,7,5,6,4,3,8]=>[8,7,2,4,3,5,6,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[1,2,7,5,6,4,8,3]=>[8,7,2,4,3,5,1,6]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[1,2,8,5,6,4,7,3]=>[8,7,1,4,3,5,2,6]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[1,2,8,5,7,6,4,3]=>[8,7,1,4,2,3,5,6]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[1,3,2,8,5,7,6,4]=>[8,6,7,1,4,2,3,5]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[1,3,4,2,8,6,7,5]=>[8,6,5,7,1,3,2,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,3,4,5,8,6,7,2]=>[8,6,5,4,1,3,2,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[1,3,4,7,5,6,2,8]=>[8,6,5,2,4,3,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[1,3,4,8,5,6,7,2]=>[8,6,5,1,4,3,2,7]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[1,3,4,8,6,5,7,2]=>[8,6,5,1,3,4,2,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[1,3,4,8,6,7,5,2]=>[8,6,5,1,3,2,4,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[1,3,6,4,5,2,7,8]=>[8,6,3,5,4,7,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[1,3,6,4,5,8,7,2]=>[8,6,3,5,4,1,2,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[1,3,7,4,5,6,2,8]=>[8,6,2,5,4,3,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[1,3,8,4,5,6,7,2]=>[8,6,1,5,4,3,2,7]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[1,3,7,4,6,5,2,8]=>[8,6,2,5,3,4,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[1,3,8,4,6,7,5,2]=>[8,6,1,5,3,2,4,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[1,3,8,4,7,6,5,2]=>[8,6,1,5,2,3,4,7]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[1,3,7,5,4,6,2,8]=>[8,6,2,4,5,3,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[1,3,7,5,4,6,8,2]=>[8,6,2,4,5,3,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[1,3,8,5,4,6,7,2]=>[8,6,1,4,5,3,2,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[1,3,8,5,4,7,6,2]=>[8,6,1,4,5,2,3,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,3,7,5,6,4,8,2]=>[8,6,2,4,3,5,1,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[1,3,8,5,6,4,7,2]=>[8,6,1,4,3,5,2,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[1,3,8,5,6,7,4,2]=>[8,6,1,4,3,2,5,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[1,3,8,5,7,6,4,2]=>[8,6,1,4,2,3,5,7]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[1,3,8,6,5,7,4,2]=>[8,6,1,3,4,2,5,7]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[1,3,8,7,5,6,4,2]=>[8,6,1,2,4,3,5,7]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[1,4,3,5,8,6,7,2]=>[8,5,6,4,1,3,2,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[1,4,3,7,5,6,2,8]=>[8,5,6,2,4,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,4,3,8,5,6,7,2]=>[8,5,6,1,4,3,2,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[1,4,3,8,5,7,6,2]=>[8,5,6,1,4,2,3,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,4,3,8,6,7,5,2]=>[8,5,6,1,3,2,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,5,3,4,2,7,8,6]=>[8,4,6,5,7,2,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[1,5,3,4,6,7,8,2]=>[8,4,6,5,3,2,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[1,5,3,4,8,6,7,2]=>[8,4,6,5,1,3,2,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[1,6,3,4,5,7,2,8]=>[8,3,6,5,4,2,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[1,6,3,4,5,7,8,2]=>[8,3,6,5,4,2,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[1,6,3,4,5,8,7,2]=>[8,3,6,5,4,1,2,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[1,7,3,4,5,6,8,2]=>[8,2,6,5,4,3,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[1,6,3,5,4,7,2,8]=>[8,3,6,4,5,2,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[1,6,3,5,4,7,8,2]=>[8,3,6,4,5,2,1,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[1,8,3,5,4,6,7,2]=>[8,1,6,4,5,3,2,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,7,3,5,6,4,8,2]=>[8,2,6,4,3,5,1,7]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[1,8,3,5,6,4,7,2]=>[8,1,6,4,3,5,2,7]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[1,8,3,5,7,6,4,2]=>[8,1,6,4,2,3,5,7]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[1,7,3,6,5,4,8,2]=>[8,2,6,3,4,5,1,7]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[1,8,3,6,5,7,4,2]=>[8,1,6,3,4,2,5,7]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[1,7,4,3,5,6,8,2]=>[8,2,5,6,4,3,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,6,4,5,3,2,7,8]=>[8,3,5,4,6,7,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[1,6,4,5,3,2,8,7]=>[8,3,5,4,6,7,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[1,6,4,5,3,8,7,2]=>[8,3,5,4,6,1,2,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,7,4,5,6,3,2,8]=>[8,2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[1,8,4,5,6,3,7,2]=>[8,1,5,4,3,6,2,7]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[1,8,4,5,6,7,3,2]=>[8,1,5,4,3,2,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[1,8,4,5,7,6,3,2]=>[8,1,5,4,2,3,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[1,8,4,6,5,3,7,2]=>[8,1,5,3,4,6,2,7]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[1,8,4,6,5,7,3,2]=>[8,1,5,3,4,2,6,7]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[1,8,4,7,6,5,3,2]=>[8,1,5,2,3,4,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[1,7,5,4,3,6,8,2]=>[8,2,4,5,6,3,1,7]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[1,8,5,4,6,3,7,2]=>[8,1,4,5,3,6,2,7]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[1,8,5,4,6,7,3,2]=>[8,1,4,5,3,2,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[1,8,5,4,7,6,3,2]=>[8,1,4,5,2,3,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[1,8,6,4,5,7,3,2]=>[8,1,3,5,4,2,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[1,8,6,5,4,7,3,2]=>[8,1,3,4,5,2,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[1,8,7,5,6,4,3,2]=>[8,1,2,4,3,5,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[2,1,3,5,8,6,7,4]=>[7,8,6,4,1,3,2,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[2,1,3,8,5,6,7,4]=>[7,8,6,1,4,3,2,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[2,1,3,8,6,7,5,4]=>[7,8,6,1,3,2,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,1,4,5,8,6,7,3]=>[7,8,5,4,1,3,2,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[2,1,4,7,5,6,3,8]=>[7,8,5,2,4,3,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[2,1,4,8,6,7,5,3]=>[7,8,5,1,3,2,4,6]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[2,1,5,4,8,6,7,3]=>[7,8,4,5,1,3,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[2,1,6,4,5,7,8,3]=>[7,8,3,5,4,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[2,1,7,4,5,6,8,3]=>[7,8,2,5,4,3,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[2,1,7,4,6,5,8,3]=>[7,8,2,5,3,4,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[2,1,8,4,6,7,5,3]=>[7,8,1,5,3,2,4,6]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[2,1,7,5,6,4,3,8]=>[7,8,2,4,3,5,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[2,1,7,5,6,4,8,3]=>[7,8,2,4,3,5,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[2,1,8,5,6,4,7,3]=>[7,8,1,4,3,5,2,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[2,1,8,5,6,7,4,3]=>[7,8,1,4,3,2,5,6]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[2,1,8,5,7,6,4,3]=>[7,8,1,4,2,3,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[2,3,1,4,8,6,7,5]=>[7,6,8,5,1,3,2,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,3,1,5,8,6,7,4]=>[7,6,8,4,1,3,2,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,3,1,7,5,6,4,8]=>[7,6,8,2,4,3,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[2,3,1,8,5,6,7,4]=>[7,6,8,1,4,3,2,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[2,3,1,8,5,7,6,4]=>[7,6,8,1,4,2,3,5]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,3,1,8,6,7,5,4]=>[7,6,8,1,3,2,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,3,4,1,8,6,7,5]=>[7,6,5,8,1,3,2,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[2,3,4,5,8,6,7,1]=>[7,6,5,4,1,3,2,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[2,3,4,8,5,6,7,1]=>[7,6,5,1,4,3,2,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[2,3,4,8,5,7,6,1]=>[7,6,5,1,4,2,3,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[2,3,4,8,6,5,7,1]=>[7,6,5,1,3,4,2,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[2,3,4,8,6,7,5,1]=>[7,6,5,1,3,2,4,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[2,3,6,4,5,1,8,7]=>[7,6,3,5,4,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[2,3,6,4,5,7,1,8]=>[7,6,3,5,4,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[2,3,6,4,5,7,8,1]=>[7,6,3,5,4,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[2,3,7,4,5,6,8,1]=>[7,6,2,5,4,3,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[2,3,7,4,6,5,8,1]=>[7,6,2,5,3,4,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,3,7,5,4,6,1,8]=>[7,6,2,4,5,3,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[2,3,7,5,4,6,8,1]=>[7,6,2,4,5,3,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[2,3,8,5,4,6,7,1]=>[7,6,1,4,5,3,2,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[2,3,7,5,6,4,8,1]=>[7,6,2,4,3,5,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,3,8,5,6,4,7,1]=>[7,6,1,4,3,5,2,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,3,8,5,6,7,4,1]=>[7,6,1,4,3,2,5,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[2,3,8,5,7,6,4,1]=>[7,6,1,4,2,3,5,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[2,3,8,6,5,7,4,1]=>[7,6,1,3,4,2,5,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[2,4,3,5,8,6,7,1]=>[7,5,6,4,1,3,2,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,4,3,7,5,6,1,8]=>[7,5,6,2,4,3,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[2,4,3,8,5,6,7,1]=>[7,5,6,1,4,3,2,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[2,5,3,4,1,6,7,8]=>[7,4,6,5,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[2,5,3,4,1,7,6,8]=>[7,4,6,5,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,5,3,4,6,7,1,8]=>[7,4,6,5,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[2,5,3,4,8,6,7,1]=>[7,4,6,5,1,3,2,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,6,3,4,5,7,1,8]=>[7,3,6,5,4,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[2,6,3,4,5,7,8,1]=>[7,3,6,5,4,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[2,7,3,4,5,6,1,8]=>[7,2,6,5,4,3,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[2,8,3,4,5,6,7,1]=>[7,1,6,5,4,3,2,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[2,8,3,4,5,7,6,1]=>[7,1,6,5,4,2,3,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[2,7,3,4,6,5,8,1]=>[7,2,6,5,3,4,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[2,6,3,5,4,1,7,8]=>[7,3,6,4,5,8,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[2,6,3,5,4,7,1,8]=>[7,3,6,4,5,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[2,6,3,5,4,7,8,1]=>[7,3,6,4,5,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[2,7,3,5,4,6,8,1]=>[7,2,6,4,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[2,8,3,5,4,7,6,1]=>[7,1,6,4,5,2,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[2,7,3,5,6,4,1,8]=>[7,2,6,4,3,5,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[2,8,3,5,7,6,4,1]=>[7,1,6,4,2,3,5,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[2,7,3,6,5,4,1,8]=>[7,2,6,3,4,5,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[2,7,3,6,5,4,8,1]=>[7,2,6,3,4,5,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[2,8,3,7,6,5,4,1]=>[7,1,6,2,3,4,5,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[2,6,4,3,5,1,8,7]=>[7,3,5,6,4,8,1,2]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,6,4,3,5,7,1,8]=>[7,3,5,6,4,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[2,6,4,3,5,7,8,1]=>[7,3,5,6,4,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[2,7,4,3,5,6,8,1]=>[7,2,5,6,4,3,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[2,8,4,3,5,6,7,1]=>[7,1,5,6,4,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[2,8,4,3,5,7,6,1]=>[7,1,5,6,4,2,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,7,4,3,6,5,1,8]=>[7,2,5,6,3,4,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,8,4,3,6,7,5,1]=>[7,1,5,6,3,2,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,8,4,3,7,6,5,1]=>[7,1,5,6,2,3,4,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[2,6,4,5,3,1,7,8]=>[7,3,5,4,6,8,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[2,6,4,5,3,1,8,7]=>[7,3,5,4,6,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[2,6,4,5,3,7,1,8]=>[7,3,5,4,6,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[2,6,4,5,3,7,8,1]=>[7,3,5,4,6,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[2,7,4,5,3,6,1,8]=>[7,2,5,4,6,3,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[2,8,4,5,3,6,7,1]=>[7,1,5,4,6,3,2,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[2,8,4,5,3,7,6,1]=>[7,1,5,4,6,2,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[2,7,4,5,6,3,8,1]=>[7,2,5,4,3,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[2,8,4,5,7,6,3,1]=>[7,1,5,4,2,3,6,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[2,7,4,6,5,3,8,1]=>[7,2,5,3,4,6,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[2,8,4,7,5,6,3,1]=>[7,1,5,2,4,3,6,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[2,7,5,4,6,3,1,8]=>[7,2,4,5,3,6,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[2,7,5,4,6,3,8,1]=>[7,2,4,5,3,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[2,8,5,4,6,3,7,1]=>[7,1,4,5,3,6,2,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[2,8,5,4,7,6,3,1]=>[7,1,4,5,2,3,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[2,7,6,4,5,3,8,1]=>[7,2,3,5,4,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[2,8,6,4,5,3,7,1]=>[7,1,3,5,4,6,2,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[2,8,7,4,6,5,3,1]=>[7,1,2,5,3,4,6,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[2,8,6,5,4,3,7,1]=>[7,1,3,4,5,6,2,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[2,8,7,5,6,4,3,1]=>[7,1,2,4,3,5,6,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[3,2,1,5,8,6,7,4]=>[6,7,8,4,1,3,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[3,2,1,7,5,6,8,4]=>[6,7,8,2,4,3,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,2,1,8,6,7,5,4]=>[6,7,8,1,3,2,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[3,2,4,1,8,6,7,5]=>[6,7,5,8,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[3,2,4,8,5,6,7,1]=>[6,7,5,1,4,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[3,2,4,8,6,7,5,1]=>[6,7,5,1,3,2,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[3,2,5,4,8,6,7,1]=>[6,7,4,5,1,3,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,2,6,4,5,1,7,8]=>[6,7,3,5,4,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[3,2,6,4,5,1,8,7]=>[6,7,3,5,4,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,2,7,4,6,5,8,1]=>[6,7,2,5,3,4,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[3,2,7,5,4,6,1,8]=>[6,7,2,4,5,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[3,2,7,5,4,6,8,1]=>[6,7,2,4,5,3,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[3,2,8,5,4,6,7,1]=>[6,7,1,4,5,3,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[3,2,7,5,6,4,1,8]=>[6,7,2,4,3,5,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[3,2,7,5,6,4,8,1]=>[6,7,2,4,3,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[3,2,8,5,6,4,7,1]=>[6,7,1,4,3,5,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[3,2,8,5,6,7,4,1]=>[6,7,1,4,3,2,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[3,2,8,5,7,6,4,1]=>[6,7,1,4,2,3,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[4,2,3,1,5,7,6,8]=>[5,7,6,8,4,2,3,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[4,2,3,1,5,7,8,6]=>[5,7,6,8,4,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[4,2,3,1,6,5,7,8]=>[5,7,6,8,3,4,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,2,3,1,6,7,5,8]=>[5,7,6,8,3,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[4,2,3,1,6,7,8,5]=>[5,7,6,8,3,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[4,2,3,1,7,6,8,5]=>[5,7,6,8,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[4,2,3,5,1,7,8,6]=>[5,7,6,4,8,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[4,2,3,5,1,8,7,6]=>[5,7,6,4,8,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[4,2,3,5,6,1,8,7]=>[5,7,6,4,3,8,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[4,2,3,5,7,6,8,1]=>[5,7,6,4,2,3,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[4,2,3,6,5,7,1,8]=>[5,7,6,3,4,2,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[4,2,3,7,5,6,8,1]=>[5,7,6,2,4,3,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[4,2,3,8,5,6,7,1]=>[5,7,6,1,4,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[4,2,3,7,6,5,8,1]=>[5,7,6,2,3,4,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[4,2,3,8,7,6,5,1]=>[5,7,6,1,2,3,4,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[5,2,3,4,1,7,6,8]=>[4,7,6,5,8,2,3,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[5,2,3,4,1,7,8,6]=>[4,7,6,5,8,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[5,2,3,4,6,8,7,1]=>[4,7,6,5,3,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[5,2,3,4,7,6,1,8]=>[4,7,6,5,2,3,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[8,2,3,4,6,7,5,1]=>[1,7,6,5,3,2,4,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[6,2,3,5,4,7,1,8]=>[3,7,6,4,5,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[7,2,3,5,4,6,1,8]=>[2,7,6,4,5,3,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[8,2,3,5,7,6,4,1]=>[1,7,6,4,2,3,5,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[7,2,3,6,5,4,8,1]=>[2,7,6,3,4,5,1,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[8,2,3,6,5,7,4,1]=>[1,7,6,3,4,2,5,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[5,2,4,3,6,1,7,8]=>[4,7,5,6,3,8,2,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[5,2,4,3,6,1,8,7]=>[4,7,5,6,3,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,2,4,3,6,7,1,8]=>[4,7,5,6,3,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[5,2,4,3,6,7,8,1]=>[4,7,5,6,3,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[5,2,4,3,7,6,1,8]=>[4,7,5,6,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[5,2,4,3,7,6,8,1]=>[4,7,5,6,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,2,4,3,5,7,1,8]=>[3,7,5,6,4,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[6,2,4,3,5,7,8,1]=>[3,7,5,6,4,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[7,2,4,3,5,6,1,8]=>[2,7,5,6,4,3,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[7,2,4,3,6,5,8,1]=>[2,7,5,6,3,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,2,4,3,6,7,5,1]=>[1,7,5,6,3,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[6,2,4,5,3,1,7,8]=>[3,7,5,4,6,8,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[6,2,4,5,3,1,8,7]=>[3,7,5,4,6,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[6,2,4,5,3,7,1,8]=>[3,7,5,4,6,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[7,2,4,5,3,6,1,8]=>[2,7,5,4,6,3,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[7,2,4,5,6,3,1,8]=>[2,7,5,4,3,6,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[8,2,4,5,6,3,7,1]=>[1,7,5,4,3,6,2,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[8,2,4,5,6,7,3,1]=>[1,7,5,4,3,2,6,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[8,2,4,7,6,5,3,1]=>[1,7,5,2,3,4,6,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[7,2,5,4,3,6,8,1]=>[2,7,4,5,6,3,1,8]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[8,2,5,4,6,7,3,1]=>[1,7,4,5,3,2,6,8]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[8,2,5,4,7,6,3,1]=>[1,7,4,5,2,3,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[8,2,6,4,5,7,3,1]=>[1,7,3,5,4,2,6,8]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[7,2,6,5,4,3,8,1]=>[2,7,3,4,5,6,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[8,2,7,5,6,4,3,1]=>[1,7,2,4,3,5,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[4,3,2,7,5,6,8,1]=>[5,6,7,2,4,3,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[4,3,2,8,5,7,6,1]=>[5,6,7,1,4,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[4,3,2,8,6,7,5,1]=>[5,6,7,1,3,2,4,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,3,2,4,1,6,8,7]=>[4,6,7,5,8,3,1,2]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[5,3,2,4,1,7,6,8]=>[4,6,7,5,8,2,3,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[5,3,2,4,1,7,8,6]=>[4,6,7,5,8,2,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[5,3,2,4,6,1,8,7]=>[4,6,7,5,3,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,3,2,4,7,6,8,1]=>[4,6,7,5,2,3,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,3,2,4,6,7,5,1]=>[1,6,7,5,3,2,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[7,3,2,5,4,6,8,1]=>[2,6,7,4,5,3,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[8,3,2,5,6,4,7,1]=>[1,6,7,4,3,5,2,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[8,3,2,5,6,7,4,1]=>[1,6,7,4,3,2,5,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,3,2,6,5,4,8,1]=>[2,6,7,3,4,5,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[8,3,2,6,5,7,4,1]=>[1,6,7,3,4,2,5,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[5,3,4,2,1,7,8,6]=>[4,6,5,7,8,2,1,3]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[5,3,4,2,1,8,7,6]=>[4,6,5,7,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[5,3,4,2,6,1,8,7]=>[4,6,5,7,3,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,3,4,2,7,6,1,8]=>[4,6,5,7,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[5,3,4,2,7,6,8,1]=>[4,6,5,7,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[5,3,4,2,8,6,7,1]=>[4,6,5,7,1,3,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[5,3,4,2,8,7,6,1]=>[4,6,5,7,1,2,3,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[6,3,4,2,5,1,8,7]=>[3,6,5,7,4,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,3,4,2,5,7,6,1]=>[1,6,5,7,4,2,3,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[7,3,4,2,6,5,1,8]=>[2,6,5,7,3,4,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[7,3,4,2,6,5,8,1]=>[2,6,5,7,3,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,3,4,2,6,5,7,1]=>[1,6,5,7,3,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,3,4,2,7,6,5,1]=>[1,6,5,7,2,3,4,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[8,3,4,5,2,7,6,1]=>[1,6,5,4,7,2,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,3,4,6,5,2,1,8]=>[2,6,5,3,4,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[6,3,5,4,2,7,1,8]=>[3,6,4,5,7,2,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[7,3,5,4,2,6,1,8]=>[2,6,4,5,7,3,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[7,3,5,4,2,6,8,1]=>[2,6,4,5,7,3,1,8]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[8,3,5,4,2,6,7,1]=>[1,6,4,5,7,3,2,8]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[8,3,5,4,2,7,6,1]=>[1,6,4,5,7,2,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[7,3,5,4,6,2,1,8]=>[2,6,4,5,3,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,3,5,4,6,7,2,1]=>[1,6,4,5,3,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[8,3,5,4,7,6,2,1]=>[1,6,4,5,2,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[7,3,6,4,5,2,1,8]=>[2,6,3,5,4,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,3,6,4,5,7,2,1]=>[1,6,3,5,4,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[8,3,7,4,6,5,2,1]=>[1,6,2,5,3,4,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[7,3,6,5,4,2,1,8]=>[2,6,3,4,5,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[8,3,6,5,4,7,2,1]=>[1,6,3,4,5,2,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[8,3,7,5,4,6,2,1]=>[1,6,2,4,5,3,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[8,3,7,5,6,4,2,1]=>[1,6,2,4,3,5,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[8,3,7,6,5,4,2,1]=>[1,6,2,3,4,5,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[5,4,3,2,8,6,7,1]=>[4,5,6,7,1,3,2,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[8,4,3,2,6,7,5,1]=>[1,5,6,7,3,2,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[6,4,3,5,2,1,8,7]=>[3,5,6,4,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[8,4,3,5,2,7,6,1]=>[1,5,6,4,7,2,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[8,4,3,5,7,6,2,1]=>[1,5,6,4,2,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[7,4,3,6,5,2,1,8]=>[2,5,6,3,4,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[7,4,3,6,5,2,8,1]=>[2,5,6,3,4,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[8,4,3,6,5,7,2,1]=>[1,5,6,3,4,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,4,3,7,6,5,2,1]=>[1,5,6,2,3,4,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[6,5,3,4,2,8,7,1]=>[3,4,6,5,7,1,2,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[8,7,3,5,6,4,2,1]=>[1,2,6,4,3,5,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,4]
[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[8,5,4,3,7,6,2,1]=>[1,4,5,6,2,3,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[8,7,4,6,5,3,2,1]=>[1,2,5,3,4,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,4]
[2,4,1,3,6,5,8,7]=>[7,5,8,6,3,4,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[2,4,1,6,3,5,8,7]=>[7,5,8,3,6,4,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[2,4,6,1,3,5,8,7]=>[7,5,3,8,6,4,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[2,1,4,3,6,8,5,7]=>[7,8,5,6,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[2,1,4,6,3,8,5,7]=>[7,8,5,3,6,1,4,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[2,4,6,1,3,8,5,7]=>[7,5,3,8,6,1,4,2]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[2,1,4,6,8,3,5,7]=>[7,8,5,3,1,6,4,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[2,4,1,6,8,3,5,7]=>[7,5,8,3,1,6,4,2]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[2,4,6,1,8,3,5,7]=>[7,5,3,8,1,6,4,2]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[2,4,1,3,6,5,7,8]=>[7,5,8,6,3,4,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[2,1,4,6,3,5,7,8]=>[7,8,5,3,6,4,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[2,4,1,6,3,5,7,8]=>[7,5,8,3,6,4,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[2,4,6,1,3,5,7,8]=>[7,5,3,8,6,4,2,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[2,4,1,3,6,7,5,8]=>[7,5,8,6,3,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[2,1,4,6,3,7,5,8]=>[7,8,5,3,6,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[2,4,1,6,3,7,5,8]=>[7,5,8,3,6,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[2,4,6,1,3,7,5,8]=>[7,5,3,8,6,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[2,1,4,6,7,3,5,8]=>[7,8,5,3,2,6,4,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[2,4,6,1,7,3,5,8]=>[7,5,3,8,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[2,4,6,7,1,3,5,8]=>[7,5,3,2,8,6,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[2,4,1,3,6,7,8,5]=>[7,5,8,6,3,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[2,1,4,6,3,7,8,5]=>[7,8,5,3,6,2,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[2,4,1,6,3,7,8,5]=>[7,5,8,3,6,2,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[2,4,6,1,3,7,8,5]=>[7,5,3,8,6,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[2,1,4,6,7,3,8,5]=>[7,8,5,3,2,6,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[2,4,1,6,7,3,8,5]=>[7,5,8,3,2,6,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[2,4,6,1,7,3,8,5]=>[7,5,3,8,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,4,6,7,1,3,8,5]=>[7,5,3,2,8,6,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[2,1,4,6,7,8,3,5]=>[7,8,5,3,2,1,6,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[2,4,1,6,7,8,3,5]=>[7,5,8,3,2,1,6,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[2,4,6,1,7,8,3,5]=>[7,5,3,8,2,1,6,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[2,4,6,7,1,8,3,5]=>[7,5,3,2,8,1,6,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[2,4,6,7,8,1,3,5]=>[7,5,3,2,1,8,6,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[2,1,4,3,7,5,8,6]=>[7,8,5,6,2,4,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[2,4,1,3,7,5,8,6]=>[7,5,8,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[2,4,1,7,3,5,8,6]=>[7,5,8,2,6,4,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[2,4,7,1,3,5,8,6]=>[7,5,2,8,6,4,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[2,1,4,3,7,8,5,6]=>[7,8,5,6,2,1,4,3]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[2,4,1,3,7,8,5,6]=>[7,5,8,6,2,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[2,4,1,7,3,8,5,6]=>[7,5,8,2,6,1,4,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[2,4,7,1,3,8,5,6]=>[7,5,2,8,6,1,4,3]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[2,1,4,7,8,3,5,6]=>[7,8,5,2,1,6,4,3]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[2,4,1,7,8,3,5,6]=>[7,5,8,2,1,6,4,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[2,4,7,1,8,3,5,6]=>[7,5,2,8,1,6,4,3]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[2,4,7,8,1,3,5,6]=>[7,5,2,1,8,6,4,3]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[2,1,4,3,7,5,6,8]=>[7,8,5,6,2,4,3,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[2,1,4,7,3,5,6,8]=>[7,8,5,2,6,4,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[2,4,7,1,3,5,6,8]=>[7,5,2,8,6,4,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[2,4,1,5,3,7,6,8]=>[7,5,8,4,6,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[2,4,5,1,7,3,6,8]=>[7,5,4,8,2,6,3,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[2,4,1,3,5,7,8,6]=>[7,5,8,6,4,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[2,4,5,1,3,7,8,6]=>[7,5,4,8,6,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[2,1,4,5,7,3,8,6]=>[7,8,5,4,2,6,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[2,4,5,1,7,3,8,6]=>[7,5,4,8,2,6,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,4,5,7,1,3,8,6]=>[7,5,4,2,8,6,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[2,1,4,5,7,8,3,6]=>[7,8,5,4,2,1,6,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[2,4,1,5,7,8,3,6]=>[7,5,8,4,2,1,6,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[2,4,5,7,1,8,3,6]=>[7,5,4,2,8,1,6,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[2,4,5,7,8,1,3,6]=>[7,5,4,2,1,8,6,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[2,1,4,3,8,5,6,7]=>[7,8,5,6,1,4,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[2,4,1,3,8,5,6,7]=>[7,5,8,6,1,4,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[2,1,4,8,3,5,6,7]=>[7,8,5,1,6,4,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[2,4,1,8,3,5,6,7]=>[7,5,8,1,6,4,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[2,4,8,1,3,5,6,7]=>[7,5,1,8,6,4,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[2,1,4,3,5,8,6,7]=>[7,8,5,6,4,1,3,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[2,4,1,3,5,8,6,7]=>[7,5,8,6,4,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[2,4,1,5,3,8,6,7]=>[7,5,8,4,6,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[2,1,4,5,8,3,6,7]=>[7,8,5,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[2,4,1,5,8,3,6,7]=>[7,5,8,4,1,6,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[2,4,5,1,8,3,6,7]=>[7,5,4,8,1,6,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[2,4,1,5,3,6,8,7]=>[7,5,8,4,6,3,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[2,4,5,1,3,6,8,7]=>[7,5,4,8,6,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[2,4,1,5,6,3,8,7]=>[7,5,8,4,3,6,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[2,1,4,5,6,8,3,7]=>[7,8,5,4,3,1,6,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[2,4,1,5,6,8,3,7]=>[7,5,8,4,3,1,6,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[2,4,5,6,1,8,3,7]=>[7,5,4,3,8,1,6,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[2,4,5,6,8,1,3,7]=>[7,5,4,3,1,8,6,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[2,4,1,3,5,6,7,8]=>[7,5,8,6,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[2,4,1,5,3,6,7,8]=>[7,5,8,4,6,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[2,4,1,5,6,3,7,8]=>[7,5,8,4,3,6,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[2,4,5,1,6,3,7,8]=>[7,5,4,8,3,6,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[2,4,5,6,1,3,7,8]=>[7,5,4,3,8,6,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[2,4,1,5,6,7,3,8]=>[7,5,8,4,3,2,6,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[2,4,5,1,6,7,3,8]=>[7,5,4,8,3,2,6,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[2,4,5,6,1,7,3,8]=>[7,5,4,3,8,2,6,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[2,4,5,6,7,1,3,8]=>[7,5,4,3,2,8,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[2,4,1,5,6,7,8,3]=>[7,5,8,4,3,2,1,6]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[2,4,5,6,1,7,8,3]=>[7,5,4,3,8,2,1,6]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[2,4,5,6,7,1,8,3]=>[7,5,4,3,2,8,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[2,4,5,6,7,8,1,3]=>[7,5,4,3,2,1,8,6]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[2,5,1,3,6,4,8,7]=>[7,4,8,6,3,5,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[2,5,1,6,3,4,8,7]=>[7,4,8,3,6,5,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[2,5,1,3,6,8,4,7]=>[7,4,8,6,3,1,5,2]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[2,5,1,6,3,8,4,7]=>[7,4,8,3,6,1,5,2]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[2,5,6,1,3,8,4,7]=>[7,4,3,8,6,1,5,2]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[2,5,1,6,8,3,4,7]=>[7,4,8,3,1,6,5,2]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[2,5,1,3,6,4,7,8]=>[7,4,8,6,3,5,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[2,1,5,6,3,4,7,8]=>[7,8,4,3,6,5,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[2,5,1,6,3,4,7,8]=>[7,4,8,3,6,5,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[2,5,1,3,6,7,4,8]=>[7,4,8,6,3,2,5,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[2,5,1,6,3,7,4,8]=>[7,4,8,3,6,2,5,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[2,5,6,1,3,7,4,8]=>[7,4,3,8,6,2,5,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[2,1,5,6,7,3,4,8]=>[7,8,4,3,2,6,5,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[2,5,1,6,7,3,4,8]=>[7,4,8,3,2,6,5,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[2,5,6,1,7,3,4,8]=>[7,4,3,8,2,6,5,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[2,1,5,3,6,7,8,4]=>[7,8,4,6,3,2,1,5]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[2,1,5,6,3,7,8,4]=>[7,8,4,3,6,2,1,5]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[2,5,1,6,3,7,8,4]=>[7,4,8,3,6,2,1,5]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[2,5,6,1,3,7,8,4]=>[7,4,3,8,6,2,1,5]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[2,5,1,6,7,3,8,4]=>[7,4,8,3,2,6,1,5]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[2,5,6,1,7,3,8,4]=>[7,4,3,8,2,6,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,5,6,7,1,3,8,4]=>[7,4,3,2,8,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[2,1,5,6,7,8,3,4]=>[7,8,4,3,2,1,6,5]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[2,5,1,6,7,8,3,4]=>[7,4,8,3,2,1,6,5]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[2,5,6,1,7,8,3,4]=>[7,4,3,8,2,1,6,5]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[2,5,6,7,1,8,3,4]=>[7,4,3,2,8,1,6,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[2,5,6,7,8,1,3,4]=>[7,4,3,2,1,8,6,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[2,1,5,3,7,4,8,6]=>[7,8,4,6,2,5,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[2,1,5,7,3,4,8,6]=>[7,8,4,2,6,5,1,3]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[2,5,1,7,3,4,8,6]=>[7,4,8,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[2,5,7,1,3,4,8,6]=>[7,4,2,8,6,5,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[2,5,1,3,7,8,4,6]=>[7,4,8,6,2,1,5,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[2,1,5,7,3,8,4,6]=>[7,8,4,2,6,1,5,3]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[2,5,1,7,3,8,4,6]=>[7,4,8,2,6,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[2,1,5,7,8,3,4,6]=>[7,8,4,2,1,6,5,3]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[2,5,7,1,8,3,4,6]=>[7,4,2,8,1,6,5,3]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[2,5,7,8,1,3,4,6]=>[7,4,2,1,8,6,5,3]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[2,5,1,3,7,4,6,8]=>[7,4,8,6,2,5,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[2,1,5,7,3,4,6,8]=>[7,8,4,2,6,5,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[2,5,1,7,3,4,6,8]=>[7,4,8,2,6,5,3,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[2,5,7,1,3,4,6,8]=>[7,4,2,8,6,5,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[2,5,1,3,4,7,6,8]=>[7,4,8,6,5,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[2,3,5,1,4,7,6,8]=>[7,6,4,8,5,2,3,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[2,1,3,5,7,4,6,8]=>[7,8,6,4,2,5,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[2,3,1,5,7,4,6,8]=>[7,6,8,4,2,5,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[2,3,5,7,1,4,6,8]=>[7,6,4,2,8,5,3,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[2,5,1,3,4,7,8,6]=>[7,4,8,6,5,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[2,3,5,1,4,7,8,6]=>[7,6,4,8,5,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[2,1,3,5,7,4,8,6]=>[7,8,6,4,2,5,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[2,3,5,1,7,4,8,6]=>[7,6,4,8,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,3,5,7,1,4,8,6]=>[7,6,4,2,8,5,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[2,3,5,1,7,8,4,6]=>[7,6,4,8,2,1,5,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[2,3,5,7,1,8,4,6]=>[7,6,4,2,8,1,5,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[2,5,1,3,8,4,6,7]=>[7,4,8,6,1,5,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[2,1,5,8,3,4,6,7]=>[7,8,4,1,6,5,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[2,5,1,8,3,4,6,7]=>[7,4,8,1,6,5,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[2,5,8,1,3,4,6,7]=>[7,4,1,8,6,5,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[2,5,1,3,4,8,6,7]=>[7,4,8,6,5,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[2,3,5,1,4,8,6,7]=>[7,6,4,8,5,1,3,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[2,3,1,5,8,4,6,7]=>[7,6,8,4,1,5,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[2,3,5,1,8,4,6,7]=>[7,6,4,8,1,5,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[2,3,5,8,1,4,6,7]=>[7,6,4,1,8,5,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[2,1,5,3,4,6,8,7]=>[7,8,4,6,5,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[2,5,1,3,4,6,8,7]=>[7,4,8,6,5,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[2,3,5,1,4,6,8,7]=>[7,6,4,8,5,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[2,3,5,6,1,4,8,7]=>[7,6,4,3,8,5,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[2,1,3,5,6,8,4,7]=>[7,8,6,4,3,1,5,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[2,3,1,5,6,8,4,7]=>[7,6,8,4,3,1,5,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[2,3,5,1,6,8,4,7]=>[7,6,4,8,3,1,5,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[2,3,5,6,1,8,4,7]=>[7,6,4,3,8,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[2,3,5,6,8,1,4,7]=>[7,6,4,3,1,8,5,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[2,5,1,3,4,6,7,8]=>[7,4,8,6,5,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[2,3,5,1,4,6,7,8]=>[7,6,4,8,5,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[2,3,5,1,6,4,7,8]=>[7,6,4,8,3,5,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[2,3,5,6,1,4,7,8]=>[7,6,4,3,8,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[2,3,5,1,6,7,4,8]=>[7,6,4,8,3,2,5,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[2,3,5,6,1,7,4,8]=>[7,6,4,3,8,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[2,3,5,6,7,1,4,8]=>[7,6,4,3,2,8,5,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[2,3,5,1,6,7,8,4]=>[7,6,4,8,3,2,1,5]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[2,3,5,6,1,7,8,4]=>[7,6,4,3,8,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[2,3,5,6,7,8,1,4]=>[7,6,4,3,2,1,8,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[2,1,6,3,7,4,8,5]=>[7,8,3,6,2,5,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[2,6,1,3,7,4,8,5]=>[7,3,8,6,2,5,1,4]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[2,6,1,7,3,4,8,5]=>[7,3,8,2,6,5,1,4]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[2,6,7,1,3,4,8,5]=>[7,3,2,8,6,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[2,1,6,3,7,8,4,5]=>[7,8,3,6,2,1,5,4]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[2,6,1,7,3,8,4,5]=>[7,3,8,2,6,1,5,4]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[2,6,7,1,3,8,4,5]=>[7,3,2,8,6,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[2,1,6,7,8,3,4,5]=>[7,8,3,2,1,6,5,4]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[2,6,1,7,8,3,4,5]=>[7,3,8,2,1,6,5,4]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[2,6,7,1,8,3,4,5]=>[7,3,2,8,1,6,5,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[2,6,7,8,1,3,4,5]=>[7,3,2,1,8,6,5,4]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[2,1,6,3,7,4,5,8]=>[7,8,3,6,2,5,4,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[2,1,6,7,3,4,5,8]=>[7,8,3,2,6,5,4,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[2,6,1,7,3,4,5,8]=>[7,3,8,2,6,5,4,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[2,6,7,1,3,4,5,8]=>[7,3,2,8,6,5,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[2,3,1,6,4,7,5,8]=>[7,6,8,3,5,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[2,1,3,6,7,4,5,8]=>[7,8,6,3,2,5,4,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[2,3,1,6,7,4,5,8]=>[7,6,8,3,2,5,4,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[2,3,6,7,1,4,5,8]=>[7,6,3,2,8,5,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[2,1,6,3,4,7,8,5]=>[7,8,3,6,5,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[2,6,1,3,4,7,8,5]=>[7,3,8,6,5,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[2,3,1,6,4,7,8,5]=>[7,6,8,3,5,2,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[2,3,6,1,4,7,8,5]=>[7,6,3,8,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[2,3,1,6,7,4,8,5]=>[7,6,8,3,2,5,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[2,3,6,1,7,4,8,5]=>[7,6,3,8,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,3,6,7,1,4,8,5]=>[7,6,3,2,8,5,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[2,1,3,6,7,8,4,5]=>[7,8,6,3,2,1,5,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[2,3,1,6,7,8,4,5]=>[7,6,8,3,2,1,5,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[2,3,6,1,7,8,4,5]=>[7,6,3,8,2,1,5,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[2,3,6,7,1,8,4,5]=>[7,6,3,2,8,1,5,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[2,3,6,7,8,1,4,5]=>[7,6,3,2,1,8,5,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[2,1,6,3,8,4,5,7]=>[7,8,3,6,1,5,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[2,6,1,3,8,4,5,7]=>[7,3,8,6,1,5,4,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[2,1,6,8,3,4,5,7]=>[7,8,3,1,6,5,4,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[2,6,1,8,3,4,5,7]=>[7,3,8,1,6,5,4,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[2,6,8,1,3,4,5,7]=>[7,3,1,8,6,5,4,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[2,6,1,3,4,8,5,7]=>[7,3,8,6,5,1,4,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[2,1,3,6,4,8,5,7]=>[7,8,6,3,5,1,4,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[2,3,1,6,4,8,5,7]=>[7,6,8,3,5,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[2,3,6,1,4,8,5,7]=>[7,6,3,8,5,1,4,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[2,1,3,6,8,4,5,7]=>[7,8,6,3,1,5,4,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[2,3,1,6,8,4,5,7]=>[7,6,8,3,1,5,4,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[2,3,6,1,8,4,5,7]=>[7,6,3,8,1,5,4,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[2,1,6,3,4,5,8,7]=>[7,8,3,6,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[2,6,1,3,4,5,8,7]=>[7,3,8,6,5,4,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[2,3,6,1,4,5,8,7]=>[7,6,3,8,5,4,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[2,3,4,6,1,5,8,7]=>[7,6,5,3,8,4,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[2,3,4,1,6,8,5,7]=>[7,6,5,8,3,1,4,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[2,3,4,6,8,1,5,7]=>[7,6,5,3,1,8,4,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[2,6,1,3,4,5,7,8]=>[7,3,8,6,5,4,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[2,1,3,6,4,5,7,8]=>[7,8,6,3,5,4,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[2,3,1,6,4,5,7,8]=>[7,6,8,3,5,4,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[2,3,6,1,4,5,7,8]=>[7,6,3,8,5,4,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[2,3,4,6,1,7,5,8]=>[7,6,5,3,8,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[2,3,4,6,7,8,1,5]=>[7,6,5,3,2,1,8,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[2,1,7,3,8,4,5,6]=>[7,8,2,6,1,5,4,3]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[2,1,7,8,3,4,5,6]=>[7,8,2,1,6,5,4,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[2,7,1,8,3,4,5,6]=>[7,2,8,1,6,5,4,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[2,7,8,1,3,4,5,6]=>[7,2,1,8,6,5,4,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[2,1,7,3,4,8,5,6]=>[7,8,2,6,5,1,4,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[2,7,1,3,4,8,5,6]=>[7,2,8,6,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[2,3,1,7,4,8,5,6]=>[7,6,8,2,5,1,4,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[2,3,7,1,4,8,5,6]=>[7,6,2,8,5,1,4,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[2,1,3,7,8,4,5,6]=>[7,8,6,2,1,5,4,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[2,3,7,8,1,4,5,6]=>[7,6,2,1,8,5,4,3]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[2,1,7,3,4,5,8,6]=>[7,8,2,6,5,4,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[2,7,1,3,4,5,8,6]=>[7,2,8,6,5,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[2,3,4,1,7,5,8,6]=>[7,6,5,8,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,3,4,7,1,5,8,6]=>[7,6,5,2,8,4,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[2,1,3,4,7,8,5,6]=>[7,8,6,5,2,1,4,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[2,3,1,4,7,8,5,6]=>[7,6,8,5,2,1,4,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[2,3,4,1,7,8,5,6]=>[7,6,5,8,2,1,4,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[2,3,4,7,1,8,5,6]=>[7,6,5,2,8,1,4,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[2,3,4,7,8,1,5,6]=>[7,6,5,2,1,8,4,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[2,1,7,3,4,5,6,8]=>[7,8,2,6,5,4,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[2,7,1,3,4,5,6,8]=>[7,2,8,6,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[2,1,3,4,7,5,6,8]=>[7,8,6,5,2,4,3,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[2,3,1,4,7,5,6,8]=>[7,6,8,5,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[2,3,4,1,7,5,6,8]=>[7,6,5,8,2,4,3,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[2,3,4,5,7,1,8,6]=>[7,6,5,4,2,8,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[2,3,4,5,7,8,1,6]=>[7,6,5,4,2,1,8,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[2,1,8,3,4,5,6,7]=>[7,8,1,6,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[2,8,1,3,4,5,6,7]=>[7,1,8,6,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[2,1,3,8,4,5,6,7]=>[7,8,6,1,5,4,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[2,3,1,8,4,5,6,7]=>[7,6,8,1,5,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[2,3,8,1,4,5,6,7]=>[7,6,1,8,5,4,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[2,1,3,4,8,5,6,7]=>[7,8,6,5,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[2,3,1,4,8,5,6,7]=>[7,6,8,5,1,4,3,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[2,1,3,4,5,8,6,7]=>[7,8,6,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[2,3,1,4,5,8,6,7]=>[7,6,8,5,4,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[2,3,4,1,5,8,6,7]=>[7,6,5,8,4,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[2,3,4,5,1,8,6,7]=>[7,6,5,4,8,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[2,3,4,5,8,1,6,7]=>[7,6,5,4,1,8,3,2]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[2,3,4,5,6,8,1,7]=>[7,6,5,4,3,1,8,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[3,1,4,2,6,5,8,7]=>[6,8,5,7,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[3,4,1,2,6,5,8,7]=>[6,5,8,7,3,4,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[3,4,1,6,2,5,8,7]=>[6,5,8,3,7,4,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[3,4,6,1,2,5,8,7]=>[6,5,3,8,7,4,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[3,1,4,2,6,8,5,7]=>[6,8,5,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[3,4,1,2,6,8,5,7]=>[6,5,8,7,3,1,4,2]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[3,4,1,6,2,8,5,7]=>[6,5,8,3,7,1,4,2]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[3,4,6,1,2,8,5,7]=>[6,5,3,8,7,1,4,2]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[3,1,4,6,8,2,5,7]=>[6,8,5,3,1,7,4,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[3,4,6,8,1,2,5,7]=>[6,5,3,1,8,7,4,2]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[3,4,1,2,6,5,7,8]=>[6,5,8,7,3,4,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[3,4,1,2,6,7,5,8]=>[6,5,8,7,3,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[3,1,4,6,2,7,5,8]=>[6,8,5,3,7,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[3,4,1,6,2,7,5,8]=>[6,5,8,3,7,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[3,4,6,1,2,7,5,8]=>[6,5,3,8,7,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[3,4,6,1,7,2,5,8]=>[6,5,3,8,2,7,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[3,4,6,7,1,2,5,8]=>[6,5,3,2,8,7,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[3,1,4,2,6,7,8,5]=>[6,8,5,7,3,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[3,4,1,2,6,7,8,5]=>[6,5,8,7,3,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[3,1,4,6,2,7,8,5]=>[6,8,5,3,7,2,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[3,4,1,6,2,7,8,5]=>[6,5,8,3,7,2,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[3,4,6,1,2,7,8,5]=>[6,5,3,8,7,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,1,4,6,7,2,8,5]=>[6,8,5,3,2,7,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[3,4,1,6,7,2,8,5]=>[6,5,8,3,2,7,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[3,4,6,1,7,2,8,5]=>[6,5,3,8,2,7,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,4,6,7,1,2,8,5]=>[6,5,3,2,8,7,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[3,4,1,6,7,8,2,5]=>[6,5,8,3,2,1,7,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[3,4,6,1,7,8,2,5]=>[6,5,3,8,2,1,7,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[3,4,6,7,1,8,2,5]=>[6,5,3,2,8,1,7,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[3,4,6,7,8,1,2,5]=>[6,5,3,2,1,8,7,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[3,4,1,2,7,5,8,6]=>[6,5,8,7,2,4,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[3,1,4,7,2,5,8,6]=>[6,8,5,2,7,4,1,3]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[3,4,1,7,2,5,8,6]=>[6,5,8,2,7,4,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[3,1,4,2,7,8,5,6]=>[6,8,5,7,2,1,4,3]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[3,1,4,7,2,8,5,6]=>[6,8,5,2,7,1,4,3]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[3,4,7,1,2,8,5,6]=>[6,5,2,8,7,1,4,3]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[3,1,4,7,8,2,5,6]=>[6,8,5,2,1,7,4,3]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[3,4,1,7,8,2,5,6]=>[6,5,8,2,1,7,4,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[3,4,1,2,7,5,6,8]=>[6,5,8,7,2,4,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[3,1,4,7,2,5,6,8]=>[6,8,5,2,7,4,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[3,4,7,1,2,5,6,8]=>[6,5,2,8,7,4,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[3,1,4,2,5,7,6,8]=>[6,8,5,7,4,2,3,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[3,4,1,2,5,7,6,8]=>[6,5,8,7,4,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[3,1,4,5,2,7,6,8]=>[6,8,5,4,7,2,3,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[3,4,1,5,2,7,6,8]=>[6,5,8,4,7,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[3,4,5,1,2,7,6,8]=>[6,5,4,8,7,2,3,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[3,1,4,5,7,2,6,8]=>[6,8,5,4,2,7,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[3,4,1,5,7,2,6,8]=>[6,5,8,4,2,7,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[3,4,5,1,7,2,6,8]=>[6,5,4,8,2,7,3,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[3,1,4,2,5,7,8,6]=>[6,8,5,7,4,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[3,4,1,2,5,7,8,6]=>[6,5,8,7,4,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[3,4,1,5,2,7,8,6]=>[6,5,8,4,7,2,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[3,4,5,1,2,7,8,6]=>[6,5,4,8,7,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,1,4,5,7,2,8,6]=>[6,8,5,4,2,7,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[3,4,5,7,1,2,8,6]=>[6,5,4,2,8,7,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[3,1,4,5,7,8,2,6]=>[6,8,5,4,2,1,7,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[3,4,1,5,7,8,2,6]=>[6,5,8,4,2,1,7,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[3,4,5,1,7,8,2,6]=>[6,5,4,8,2,1,7,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[3,1,4,2,8,5,6,7]=>[6,8,5,7,1,4,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[3,4,1,2,8,5,6,7]=>[6,5,8,7,1,4,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[3,1,4,8,2,5,6,7]=>[6,8,5,1,7,4,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[3,4,1,8,2,5,6,7]=>[6,5,8,1,7,4,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[3,4,8,1,2,5,6,7]=>[6,5,1,8,7,4,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[3,4,1,2,5,8,6,7]=>[6,5,8,7,4,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[3,1,4,5,2,8,6,7]=>[6,8,5,4,7,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[3,4,1,5,2,8,6,7]=>[6,5,8,4,7,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[3,4,5,1,2,8,6,7]=>[6,5,4,8,7,1,3,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[3,4,1,5,8,2,6,7]=>[6,5,8,4,1,7,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[3,4,5,8,1,2,6,7]=>[6,5,4,1,8,7,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[3,4,1,2,5,6,8,7]=>[6,5,8,7,4,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[3,4,5,1,2,6,8,7]=>[6,5,4,8,7,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,1,4,5,6,2,8,7]=>[6,8,5,4,3,7,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[3,4,1,5,6,2,8,7]=>[6,5,8,4,3,7,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[3,4,5,1,6,2,8,7]=>[6,5,4,8,3,7,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,4,5,6,1,2,8,7]=>[6,5,4,3,8,7,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[3,1,4,5,6,8,2,7]=>[6,8,5,4,3,1,7,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[3,4,1,5,6,8,2,7]=>[6,5,8,4,3,1,7,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[3,4,5,6,1,8,2,7]=>[6,5,4,3,8,1,7,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[3,4,5,6,8,1,2,7]=>[6,5,4,3,1,8,7,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[3,1,4,2,5,6,7,8]=>[6,8,5,7,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[3,1,4,5,2,6,7,8]=>[6,8,5,4,7,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[3,4,1,5,2,6,7,8]=>[6,5,8,4,7,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[3,1,4,5,6,2,7,8]=>[6,8,5,4,3,7,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[3,4,1,5,6,2,7,8]=>[6,5,8,4,3,7,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[3,4,5,1,6,2,7,8]=>[6,5,4,8,3,7,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[3,1,4,5,6,7,2,8]=>[6,8,5,4,3,2,7,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[3,4,1,5,6,7,2,8]=>[6,5,8,4,3,2,7,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[3,4,5,1,6,7,2,8]=>[6,5,4,8,3,2,7,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[3,4,5,6,1,7,2,8]=>[6,5,4,3,8,2,7,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[3,1,4,5,6,7,8,2]=>[6,8,5,4,3,2,1,7]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[3,4,1,5,6,7,8,2]=>[6,5,8,4,3,2,1,7]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[3,4,5,1,6,7,8,2]=>[6,5,4,8,3,2,1,7]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[3,4,5,6,1,7,8,2]=>[6,5,4,3,8,2,1,7]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[3,4,5,6,7,1,8,2]=>[6,5,4,3,2,8,1,7]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[3,1,5,2,6,4,8,7]=>[6,8,4,7,3,5,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[3,5,1,2,6,4,8,7]=>[6,4,8,7,3,5,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[3,1,5,6,2,4,8,7]=>[6,8,4,3,7,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[3,5,1,6,2,4,8,7]=>[6,4,8,3,7,5,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[3,5,6,1,2,4,8,7]=>[6,4,3,8,7,5,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[3,1,5,2,6,8,4,7]=>[6,8,4,7,3,1,5,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[3,5,1,2,6,8,4,7]=>[6,4,8,7,3,1,5,2]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[3,1,5,6,2,8,4,7]=>[6,8,4,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[3,5,1,6,2,8,4,7]=>[6,4,8,3,7,1,5,2]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[3,5,6,1,2,8,4,7]=>[6,4,3,8,7,1,5,2]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[3,1,5,6,8,2,4,7]=>[6,8,4,3,1,7,5,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[3,5,1,6,8,2,4,7]=>[6,4,8,3,1,7,5,2]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[3,5,6,1,8,2,4,7]=>[6,4,3,8,1,7,5,2]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[3,5,6,8,1,2,4,7]=>[6,4,3,1,8,7,5,2]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[3,1,5,2,6,4,7,8]=>[6,8,4,7,3,5,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[3,5,1,2,6,4,7,8]=>[6,4,8,7,3,5,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[3,1,5,6,2,4,7,8]=>[6,8,4,3,7,5,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[3,5,1,6,2,4,7,8]=>[6,4,8,3,7,5,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[3,1,5,2,6,7,4,8]=>[6,8,4,7,3,2,5,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[3,5,1,2,6,7,4,8]=>[6,4,8,7,3,2,5,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[3,5,1,6,2,7,4,8]=>[6,4,8,3,7,2,5,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[3,5,6,1,2,7,4,8]=>[6,4,3,8,7,2,5,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[3,1,5,6,7,2,4,8]=>[6,8,4,3,2,7,5,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[3,5,6,1,7,2,4,8]=>[6,4,3,8,2,7,5,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[3,5,6,7,1,2,4,8]=>[6,4,3,2,8,7,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[3,1,5,2,6,7,8,4]=>[6,8,4,7,3,2,1,5]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[3,5,1,2,6,7,8,4]=>[6,4,8,7,3,2,1,5]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[3,1,5,6,2,7,8,4]=>[6,8,4,3,7,2,1,5]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[3,5,1,6,2,7,8,4]=>[6,4,8,3,7,2,1,5]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[3,5,6,1,2,7,8,4]=>[6,4,3,8,7,2,1,5]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,1,5,6,7,2,8,4]=>[6,8,4,3,2,7,1,5]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[3,5,1,6,7,2,8,4]=>[6,4,8,3,2,7,1,5]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[3,5,6,1,7,2,8,4]=>[6,4,3,8,2,7,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,5,6,7,1,2,8,4]=>[6,4,3,2,8,7,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[3,5,1,6,7,8,2,4]=>[6,4,8,3,2,1,7,5]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[3,5,6,1,7,8,2,4]=>[6,4,3,8,2,1,7,5]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[3,5,6,7,8,1,2,4]=>[6,4,3,2,1,8,7,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[3,5,1,2,7,4,8,6]=>[6,4,8,7,2,5,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[3,5,1,7,2,4,8,6]=>[6,4,8,2,7,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[3,5,7,1,2,4,8,6]=>[6,4,2,8,7,5,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[3,1,5,2,7,8,4,6]=>[6,8,4,7,2,1,5,3]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[3,1,5,7,2,8,4,6]=>[6,8,4,2,7,1,5,3]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[3,5,7,1,2,8,4,6]=>[6,4,2,8,7,1,5,3]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[3,1,5,7,8,2,4,6]=>[6,8,4,2,1,7,5,3]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[3,1,5,2,7,4,6,8]=>[6,8,4,7,2,5,3,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[3,5,1,2,7,4,6,8]=>[6,4,8,7,2,5,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[3,1,5,7,2,4,6,8]=>[6,8,4,2,7,5,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[3,5,7,1,2,4,6,8]=>[6,4,2,8,7,5,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[3,5,1,2,4,7,6,8]=>[6,4,8,7,5,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[1,3,5,2,4,7,6,8]=>[8,6,4,7,5,2,3,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[3,1,2,5,7,4,6,8]=>[6,8,7,4,2,5,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[3,5,1,2,4,7,8,6]=>[6,4,8,7,5,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[1,3,5,2,4,7,8,6]=>[8,6,4,7,5,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,1,2,5,7,4,8,6]=>[6,8,7,4,2,5,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,3,5,2,7,4,8,6]=>[8,6,4,7,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,3,5,7,2,4,8,6]=>[8,6,4,2,7,5,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[1,3,5,7,8,2,4,6]=>[8,6,4,2,1,7,5,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[3,1,5,2,8,4,6,7]=>[6,8,4,7,1,5,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[3,1,5,8,2,4,6,7]=>[6,8,4,1,7,5,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[3,5,1,8,2,4,6,7]=>[6,4,8,1,7,5,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[3,5,8,1,2,4,6,7]=>[6,4,1,8,7,5,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[3,1,5,2,4,8,6,7]=>[6,8,4,7,5,1,3,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[3,1,2,5,4,8,6,7]=>[6,8,7,4,5,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,3,2,5,4,8,6,7]=>[8,6,7,4,5,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[1,3,2,5,8,4,6,7]=>[8,6,7,4,1,5,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[1,3,5,2,8,4,6,7]=>[8,6,4,7,1,5,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[3,1,5,2,4,6,8,7]=>[6,8,4,7,5,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[3,5,1,2,4,6,8,7]=>[6,4,8,7,5,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[3,1,2,5,4,6,8,7]=>[6,8,7,4,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,1,2,5,6,4,8,7]=>[6,8,7,4,3,5,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,3,5,2,6,4,8,7]=>[8,6,4,7,3,5,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,3,5,6,2,4,8,7]=>[8,6,4,3,7,5,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[1,3,2,5,6,8,4,7]=>[8,6,7,4,3,1,5,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[1,3,5,6,2,8,4,7]=>[8,6,4,3,7,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[3,5,1,2,4,6,7,8]=>[6,4,8,7,5,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[3,1,2,5,4,6,7,8]=>[6,8,7,4,5,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,3,5,2,4,6,7,8]=>[8,6,4,7,5,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[3,1,2,5,6,4,7,8]=>[6,8,7,4,3,5,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,3,5,6,2,4,7,8]=>[8,6,4,3,7,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[3,1,2,5,6,7,4,8]=>[6,8,7,4,3,2,5,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,3,5,2,6,7,4,8]=>[8,6,4,7,3,2,5,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[3,1,2,5,6,7,8,4]=>[6,8,7,4,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,3,5,6,7,8,2,4]=>[8,6,4,3,2,1,7,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[3,1,6,2,7,4,8,5]=>[6,8,3,7,2,5,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[3,6,1,2,7,4,8,5]=>[6,3,8,7,2,5,1,4]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[3,1,6,7,2,4,8,5]=>[6,8,3,2,7,5,1,4]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[3,6,1,7,2,4,8,5]=>[6,3,8,2,7,5,1,4]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[3,6,7,1,2,4,8,5]=>[6,3,2,8,7,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[3,1,6,2,7,8,4,5]=>[6,8,3,7,2,1,5,4]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[3,6,1,2,7,8,4,5]=>[6,3,8,7,2,1,5,4]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[3,1,6,7,2,8,4,5]=>[6,8,3,2,7,1,5,4]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[3,6,1,7,2,8,4,5]=>[6,3,8,2,7,1,5,4]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[3,6,7,1,2,8,4,5]=>[6,3,2,8,7,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[3,6,1,7,8,2,4,5]=>[6,3,8,2,1,7,5,4]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[3,6,7,1,8,2,4,5]=>[6,3,2,8,1,7,5,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[3,6,7,8,1,2,4,5]=>[6,3,2,1,8,7,5,4]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[3,1,6,2,7,4,5,8]=>[6,8,3,7,2,5,4,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[3,6,1,2,7,4,5,8]=>[6,3,8,7,2,5,4,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[3,1,6,7,2,4,5,8]=>[6,8,3,2,7,5,4,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[3,6,7,1,2,4,5,8]=>[6,3,2,8,7,5,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[3,1,6,2,4,7,5,8]=>[6,8,3,7,5,2,4,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[3,6,1,2,4,7,5,8]=>[6,3,8,7,5,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[3,1,2,6,4,7,5,8]=>[6,8,7,3,5,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,3,2,6,4,7,5,8]=>[8,6,7,3,5,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[1,3,6,2,4,7,5,8]=>[8,6,3,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[1,3,6,7,2,4,5,8]=>[8,6,3,2,7,5,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[3,1,6,2,4,7,8,5]=>[6,8,3,7,5,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[3,6,1,2,4,7,8,5]=>[6,3,8,7,5,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[3,1,2,6,4,7,8,5]=>[6,8,7,3,5,2,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,1,2,6,7,4,8,5]=>[6,8,7,3,2,5,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,3,6,2,7,4,8,5]=>[8,6,3,7,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,3,6,7,2,4,8,5]=>[8,6,3,2,7,5,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[1,3,6,2,7,8,4,5]=>[8,6,3,7,2,1,5,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[1,3,6,7,2,8,4,5]=>[8,6,3,2,7,1,5,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[1,3,6,7,8,2,4,5]=>[8,6,3,2,1,7,5,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[3,6,1,2,8,4,5,7]=>[6,3,8,7,1,5,4,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[3,1,6,8,2,4,5,7]=>[6,8,3,1,7,5,4,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[3,6,1,8,2,4,5,7]=>[6,3,8,1,7,5,4,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[3,6,8,1,2,4,5,7]=>[6,3,1,8,7,5,4,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[3,1,6,2,4,8,5,7]=>[6,8,3,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[3,6,1,2,4,8,5,7]=>[6,3,8,7,5,1,4,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[3,1,2,6,4,8,5,7]=>[6,8,7,3,5,1,4,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,3,2,6,4,8,5,7]=>[8,6,7,3,5,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[3,1,2,6,8,4,5,7]=>[6,8,7,3,1,5,4,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[1,3,6,8,2,4,5,7]=>[8,6,3,1,7,5,4,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[3,1,6,2,4,5,8,7]=>[6,8,3,7,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[3,6,1,2,4,5,8,7]=>[6,3,8,7,5,4,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[3,1,2,4,6,5,8,7]=>[6,8,7,5,3,4,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[3,1,2,4,6,8,5,7]=>[6,8,7,5,3,1,4,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[1,3,2,4,6,8,5,7]=>[8,6,7,5,3,1,4,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[3,6,1,2,4,5,7,8]=>[6,3,8,7,5,4,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[3,1,2,6,4,5,7,8]=>[6,8,7,3,5,4,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,3,2,6,4,5,7,8]=>[8,6,7,3,5,4,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[3,1,2,4,6,5,7,8]=>[6,8,7,5,3,4,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[3,1,2,4,6,7,5,8]=>[6,8,7,5,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,3,4,6,2,7,5,8]=>[8,6,5,3,7,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[3,1,2,4,6,7,8,5]=>[6,8,7,5,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,3,4,6,2,7,8,5]=>[8,6,5,3,7,2,1,4]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[1,3,4,6,7,2,8,5]=>[8,6,5,3,2,7,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[1,3,4,6,7,8,2,5]=>[8,6,5,3,2,1,7,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[3,7,1,2,8,4,5,6]=>[6,2,8,7,1,5,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[3,1,7,8,2,4,5,6]=>[6,8,2,1,7,5,4,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[3,7,1,8,2,4,5,6]=>[6,2,8,1,7,5,4,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[3,7,8,1,2,4,5,6]=>[6,2,1,8,7,5,4,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[3,1,7,2,4,8,5,6]=>[6,8,2,7,5,1,4,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[3,7,1,2,4,8,5,6]=>[6,2,8,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[1,3,2,7,4,8,5,6]=>[8,6,7,2,5,1,4,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[1,3,7,2,4,8,5,6]=>[8,6,2,7,5,1,4,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[3,1,2,7,8,4,5,6]=>[6,8,7,2,1,5,4,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,3,7,2,8,4,5,6]=>[8,6,2,7,1,5,4,3]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[3,1,7,2,4,5,8,6]=>[6,8,2,7,5,4,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[3,7,1,2,4,5,8,6]=>[6,2,8,7,5,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[3,1,2,7,4,5,8,6]=>[6,8,7,2,5,4,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[1,3,7,2,4,5,8,6]=>[8,6,2,7,5,4,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[3,1,2,4,7,5,8,6]=>[6,8,7,5,2,4,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,3,4,2,7,5,8,6]=>[8,6,5,7,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,1,2,4,7,8,5,6]=>[6,8,7,5,2,1,4,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[1,3,4,2,7,8,5,6]=>[8,6,5,7,2,1,4,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[1,3,4,7,2,8,5,6]=>[8,6,5,2,7,1,4,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[1,3,4,7,8,2,5,6]=>[8,6,5,2,1,7,4,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[3,1,7,2,4,5,6,8]=>[6,8,2,7,5,4,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[3,7,1,2,4,5,6,8]=>[6,2,8,7,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[3,1,2,7,4,5,6,8]=>[6,8,7,2,5,4,3,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,3,2,7,4,5,6,8]=>[8,6,7,2,5,4,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[1,3,2,4,7,5,6,8]=>[8,6,7,5,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[1,3,4,2,7,5,6,8]=>[8,6,5,7,2,4,3,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[1,3,4,7,2,5,6,8]=>[8,6,5,2,7,4,3,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[1,3,4,5,7,2,6,8]=>[8,6,5,4,2,7,3,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[3,1,2,4,5,7,8,6]=>[6,8,7,5,4,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,3,4,5,7,8,2,6]=>[8,6,5,4,2,1,7,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[3,1,8,2,4,5,6,7]=>[6,8,1,7,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[3,8,1,2,4,5,6,7]=>[6,1,8,7,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[3,1,2,8,4,5,6,7]=>[6,8,7,1,5,4,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[3,1,2,4,8,5,6,7]=>[6,8,7,5,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[3,1,2,4,5,8,6,7]=>[6,8,7,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,3,2,4,5,8,6,7]=>[8,6,7,5,4,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[1,3,4,2,5,8,6,7]=>[8,6,5,7,4,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[1,3,4,5,2,8,6,7]=>[8,6,5,4,7,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[3,1,2,4,5,6,8,7]=>[6,8,7,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,3,4,5,6,8,2,7]=>[8,6,5,4,3,1,7,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[4,1,5,2,6,3,8,7]=>[5,8,4,7,3,6,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[4,5,1,2,6,3,8,7]=>[5,4,8,7,3,6,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[4,1,5,6,2,3,8,7]=>[5,8,4,3,7,6,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[4,5,1,6,2,3,8,7]=>[5,4,8,3,7,6,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[4,5,6,1,2,3,8,7]=>[5,4,3,8,7,6,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[4,1,5,2,6,8,3,7]=>[5,8,4,7,3,1,6,2]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[4,1,5,6,2,8,3,7]=>[5,8,4,3,7,1,6,2]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[4,5,1,6,2,8,3,7]=>[5,4,8,3,7,1,6,2]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[4,5,6,1,2,8,3,7]=>[5,4,3,8,7,1,6,2]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[4,1,5,6,8,2,3,7]=>[5,8,4,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[4,5,1,6,8,2,3,7]=>[5,4,8,3,1,7,6,2]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[4,5,6,1,8,2,3,7]=>[5,4,3,8,1,7,6,2]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[4,5,6,8,1,2,3,7]=>[5,4,3,1,8,7,6,2]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[4,1,5,2,6,3,7,8]=>[5,8,4,7,3,6,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[4,5,1,2,6,3,7,8]=>[5,4,8,7,3,6,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[4,1,5,6,2,3,7,8]=>[5,8,4,3,7,6,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[4,1,5,2,6,7,3,8]=>[5,8,4,7,3,2,6,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[4,5,1,2,6,7,3,8]=>[5,4,8,7,3,2,6,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[4,1,5,6,2,7,3,8]=>[5,8,4,3,7,2,6,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[4,5,1,6,2,7,3,8]=>[5,4,8,3,7,2,6,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[4,1,5,6,7,2,3,8]=>[5,8,4,3,2,7,6,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[4,5,1,6,7,2,3,8]=>[5,4,8,3,2,7,6,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[4,5,6,1,7,2,3,8]=>[5,4,3,8,2,7,6,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[4,1,5,2,6,7,8,3]=>[5,8,4,7,3,2,1,6]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[4,5,1,2,6,7,8,3]=>[5,4,8,7,3,2,1,6]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[4,1,5,6,2,7,8,3]=>[5,8,4,3,7,2,1,6]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[4,5,1,6,2,7,8,3]=>[5,4,8,3,7,2,1,6]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[4,1,5,6,7,2,8,3]=>[5,8,4,3,2,7,1,6]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[4,5,1,6,7,2,8,3]=>[5,4,8,3,2,7,1,6]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[4,5,6,1,7,2,8,3]=>[5,4,3,8,2,7,1,6]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[4,5,6,7,1,2,8,3]=>[5,4,3,2,8,7,1,6]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[4,1,5,6,7,8,2,3]=>[5,8,4,3,2,1,7,6]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[4,5,1,6,7,8,2,3]=>[5,4,8,3,2,1,7,6]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[4,5,6,1,7,8,2,3]=>[5,4,3,8,2,1,7,6]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[4,5,6,7,1,8,2,3]=>[5,4,3,2,8,1,7,6]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[4,1,5,2,7,3,8,6]=>[5,8,4,7,2,6,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[4,5,1,2,7,3,8,6]=>[5,4,8,7,2,6,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[4,5,1,7,2,3,8,6]=>[5,4,8,2,7,6,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[4,5,7,1,2,3,8,6]=>[5,4,2,8,7,6,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[4,1,5,2,7,8,3,6]=>[5,8,4,7,2,1,6,3]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[4,1,5,7,2,8,3,6]=>[5,8,4,2,7,1,6,3]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[4,5,1,7,2,8,3,6]=>[5,4,8,2,7,1,6,3]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[4,5,7,1,2,8,3,6]=>[5,4,2,8,7,1,6,3]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[4,1,5,7,8,2,3,6]=>[5,8,4,2,1,7,6,3]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[4,5,1,7,8,2,3,6]=>[5,4,8,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[4,5,7,1,8,2,3,6]=>[5,4,2,8,1,7,6,3]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[4,5,7,8,1,2,3,6]=>[5,4,2,1,8,7,6,3]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[4,1,5,2,7,3,6,8]=>[5,8,4,7,2,6,3,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[4,5,1,2,7,3,6,8]=>[5,4,8,7,2,6,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[4,5,1,7,2,3,6,8]=>[5,4,8,2,7,6,3,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[4,1,5,2,3,7,6,8]=>[5,8,4,7,6,2,3,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[4,5,1,2,3,7,6,8]=>[5,4,8,7,6,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[4,1,2,5,3,7,6,8]=>[5,8,7,4,6,2,3,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,4,2,5,3,7,6,8]=>[8,5,7,4,6,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[4,1,2,5,7,3,6,8]=>[5,8,7,4,2,6,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,4,2,5,7,3,6,8]=>[8,5,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[1,4,5,2,7,3,6,8]=>[8,5,4,7,2,6,3,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[1,4,5,7,2,3,6,8]=>[8,5,4,2,7,6,3,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[4,1,5,2,3,7,8,6]=>[5,8,4,7,6,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[4,5,1,2,3,7,8,6]=>[5,4,8,7,6,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[4,1,2,5,3,7,8,6]=>[5,8,7,4,6,2,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[1,4,2,5,3,7,8,6]=>[8,5,7,4,6,2,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[1,4,5,2,3,7,8,6]=>[8,5,4,7,6,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[4,1,2,5,7,3,8,6]=>[5,8,7,4,2,6,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,4,2,5,7,3,8,6]=>[8,5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[1,4,5,2,7,3,8,6]=>[8,5,4,7,2,6,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,4,5,7,2,3,8,6]=>[8,5,4,2,7,6,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[1,4,2,5,7,8,3,6]=>[8,5,7,4,2,1,6,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[1,4,5,7,8,2,3,6]=>[8,5,4,2,1,7,6,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[4,1,5,2,8,3,6,7]=>[5,8,4,7,1,6,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[4,5,1,2,8,3,6,7]=>[5,4,8,7,1,6,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[4,5,1,8,2,3,6,7]=>[5,4,8,1,7,6,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[4,5,8,1,2,3,6,7]=>[5,4,1,8,7,6,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[4,5,1,2,3,8,6,7]=>[5,4,8,7,6,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[4,1,2,5,3,8,6,7]=>[5,8,7,4,6,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[4,1,2,5,8,3,6,7]=>[5,8,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[1,4,5,2,8,3,6,7]=>[8,5,4,7,1,6,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[1,4,5,8,2,3,6,7]=>[8,5,4,1,7,6,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[4,1,5,2,3,6,8,7]=>[5,8,4,7,6,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[4,5,1,2,3,6,8,7]=>[5,4,8,7,6,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[4,1,2,5,3,6,8,7]=>[5,8,7,4,6,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[1,4,5,2,3,6,8,7]=>[8,5,4,7,6,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[4,1,2,5,6,3,8,7]=>[5,8,7,4,3,6,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,4,2,5,6,3,8,7]=>[8,5,7,4,3,6,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[1,4,5,2,6,3,8,7]=>[8,5,4,7,3,6,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,4,5,6,2,3,8,7]=>[8,5,4,3,7,6,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[4,1,2,5,6,8,3,7]=>[5,8,7,4,3,1,6,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[1,4,2,5,6,8,3,7]=>[8,5,7,4,3,1,6,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[1,4,5,6,8,2,3,7]=>[8,5,4,3,1,7,6,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[4,1,5,2,3,6,7,8]=>[5,8,4,7,6,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[4,1,2,5,3,6,7,8]=>[5,8,7,4,6,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,4,2,5,3,6,7,8]=>[8,5,7,4,6,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[1,4,5,2,3,6,7,8]=>[8,5,4,7,6,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[4,1,2,5,6,3,7,8]=>[5,8,7,4,3,6,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,4,2,5,6,3,7,8]=>[8,5,7,4,3,6,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[1,4,5,2,6,3,7,8]=>[8,5,4,7,3,6,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[1,4,5,6,2,3,7,8]=>[8,5,4,3,7,6,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[1,4,5,6,2,7,3,8]=>[8,5,4,3,7,2,6,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[4,1,2,5,6,7,8,3]=>[5,8,7,4,3,2,1,6]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,4,2,5,6,7,8,3]=>[8,5,7,4,3,2,1,6]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[1,4,5,2,6,7,8,3]=>[8,5,4,7,3,2,1,6]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[1,4,5,6,2,7,8,3]=>[8,5,4,3,7,2,1,6]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[1,4,5,6,7,2,8,3]=>[8,5,4,3,2,7,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[1,4,5,6,7,8,2,3]=>[8,5,4,3,2,1,7,6]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[4,6,1,7,2,3,8,5]=>[5,3,8,2,7,6,1,4]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[4,1,6,2,7,8,3,5]=>[5,8,3,7,2,1,6,4]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[4,6,1,2,7,8,3,5]=>[5,3,8,7,2,1,6,4]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[4,1,6,7,2,8,3,5]=>[5,8,3,2,7,1,6,4]=>[[1,2],[3,5],[4,7],[6,8]]=>[4,2,2]
[4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[4,6,7,1,2,8,3,5]=>[5,3,2,8,7,1,6,4]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[4,1,6,7,8,2,3,5]=>[5,8,3,2,1,7,6,4]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[4,6,1,7,8,2,3,5]=>[5,3,8,2,1,7,6,4]=>[[1,3],[2,6],[4,7],[5,8]]=>[2,3,3]
[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,4]
[4,1,6,2,7,3,5,8]=>[5,8,3,7,2,6,4,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[4,6,1,2,7,3,5,8]=>[5,3,8,7,2,6,4,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[4,1,6,7,2,3,5,8]=>[5,8,3,2,7,6,4,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[4,6,1,7,2,3,5,8]=>[5,3,8,2,7,6,4,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[4,6,7,1,2,3,5,8]=>[5,3,2,8,7,6,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[4,1,6,2,3,7,5,8]=>[5,8,3,7,6,2,4,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[4,6,1,2,3,7,5,8]=>[5,3,8,7,6,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[4,1,2,6,3,7,5,8]=>[5,8,7,3,6,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[1,4,6,2,3,7,5,8]=>[8,5,3,7,6,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[4,1,2,6,7,3,5,8]=>[5,8,7,3,2,6,4,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[1,4,6,7,2,3,5,8]=>[8,5,3,2,7,6,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[4,1,6,2,3,7,8,5]=>[5,8,3,7,6,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[4,6,1,2,3,7,8,5]=>[5,3,8,7,6,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[4,1,2,6,7,3,8,5]=>[5,8,7,3,2,6,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,4,2,6,7,3,8,5]=>[8,5,7,3,2,6,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[1,4,6,2,7,3,8,5]=>[8,5,3,7,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,4,6,7,2,3,8,5]=>[8,5,3,2,7,6,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[4,1,2,6,7,8,3,5]=>[5,8,7,3,2,1,6,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[1,4,2,6,7,8,3,5]=>[8,5,7,3,2,1,6,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[1,4,6,2,7,8,3,5]=>[8,5,3,7,2,1,6,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[1,4,6,7,2,8,3,5]=>[8,5,3,2,7,1,6,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[4,1,6,2,8,3,5,7]=>[5,8,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[4,6,1,2,8,3,5,7]=>[5,3,8,7,1,6,4,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[4,1,6,8,2,3,5,7]=>[5,8,3,1,7,6,4,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[4,6,1,8,2,3,5,7]=>[5,3,8,1,7,6,4,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[4,6,8,1,2,3,5,7]=>[5,3,1,8,7,6,4,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[4,1,6,2,3,8,5,7]=>[5,8,3,7,6,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[4,6,1,2,3,8,5,7]=>[5,3,8,7,6,1,4,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[4,1,2,6,3,8,5,7]=>[5,8,7,3,6,1,4,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[4,1,2,6,8,3,5,7]=>[5,8,7,3,1,6,4,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,4,2,6,8,3,5,7]=>[8,5,7,3,1,6,4,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[1,4,6,2,8,3,5,7]=>[8,5,3,7,1,6,4,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[4,1,6,2,3,5,8,7]=>[5,8,3,7,6,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[4,6,1,2,3,5,8,7]=>[5,3,8,7,6,4,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[1,4,2,6,3,5,8,7]=>[8,5,7,3,6,4,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[1,4,6,2,3,5,8,7]=>[8,5,3,7,6,4,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[4,1,2,3,6,5,8,7]=>[5,8,7,6,3,4,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,4,2,3,6,5,8,7]=>[8,5,7,6,3,4,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[1,2,4,6,3,5,8,7]=>[8,7,5,3,6,4,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[4,1,2,3,6,8,5,7]=>[5,8,7,6,3,1,4,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[1,4,2,3,6,8,5,7]=>[8,5,7,6,3,1,4,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[1,2,4,3,6,8,5,7]=>[8,7,5,6,3,1,4,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[4,1,6,2,3,5,7,8]=>[5,8,3,7,6,4,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[4,6,1,2,3,5,7,8]=>[5,3,8,7,6,4,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[4,1,2,6,3,5,7,8]=>[5,8,7,3,6,4,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,4,2,6,3,5,7,8]=>[8,5,7,3,6,4,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[4,1,2,3,6,5,7,8]=>[5,8,7,6,3,4,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[4,1,2,3,6,7,5,8]=>[5,8,7,6,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,4,2,3,6,7,5,8]=>[8,5,7,6,3,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[1,2,4,6,3,7,5,8]=>[8,7,5,3,6,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,4,2,3,6,7,8,5]=>[8,5,7,6,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[1,2,4,6,7,3,8,5]=>[8,7,5,3,2,6,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[1,2,4,6,7,8,3,5]=>[8,7,5,3,2,1,6,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[4,1,7,2,8,3,5,6]=>[5,8,2,7,1,6,4,3]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[4,7,1,2,8,3,5,6]=>[5,2,8,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[4,1,7,8,2,3,5,6]=>[5,8,2,1,7,6,4,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[4,7,1,8,2,3,5,6]=>[5,2,8,1,7,6,4,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[4,7,8,1,2,3,5,6]=>[5,2,1,8,7,6,4,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[4,1,7,2,3,8,5,6]=>[5,8,2,7,6,1,4,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[4,7,1,2,3,8,5,6]=>[5,2,8,7,6,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[4,1,2,7,3,8,5,6]=>[5,8,7,2,6,1,4,3]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[1,4,7,2,3,8,5,6]=>[8,5,2,7,6,1,4,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[4,1,2,7,8,3,5,6]=>[5,8,7,2,1,6,4,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[1,4,7,2,8,3,5,6]=>[8,5,2,7,1,6,4,3]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[1,4,7,8,2,3,5,6]=>[8,5,2,1,7,6,4,3]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[4,1,7,2,3,5,8,6]=>[5,8,2,7,6,4,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[4,7,1,2,3,5,8,6]=>[5,2,8,7,6,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[4,1,2,7,3,5,8,6]=>[5,8,7,2,6,4,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[4,1,2,3,7,5,8,6]=>[5,8,7,6,2,4,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,2,4,3,7,5,8,6]=>[8,7,5,6,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[4,1,2,3,7,8,5,6]=>[5,8,7,6,2,1,4,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[4,1,7,2,3,5,6,8]=>[5,8,2,7,6,4,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[4,7,1,2,3,5,6,8]=>[5,2,8,7,6,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[4,1,2,7,3,5,6,8]=>[5,8,7,2,6,4,3,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,4,2,7,3,5,6,8]=>[8,5,7,2,6,4,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[4,1,2,3,7,5,6,8]=>[5,8,7,6,2,4,3,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[4,1,2,3,5,7,6,8]=>[5,8,7,6,4,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,4,2,3,5,7,6,8]=>[8,5,7,6,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[4,1,2,3,5,7,8,6]=>[5,8,7,6,4,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,4,2,3,5,7,8,6]=>[8,5,7,6,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[1,2,4,5,7,3,8,6]=>[8,7,5,4,2,6,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[1,2,4,5,7,8,3,6]=>[8,7,5,4,2,1,6,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[4,1,8,2,3,5,6,7]=>[5,8,1,7,6,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[4,8,1,2,3,5,6,7]=>[5,1,8,7,6,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[4,1,2,8,3,5,6,7]=>[5,8,7,1,6,4,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[4,1,2,3,8,5,6,7]=>[5,8,7,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[4,1,2,3,5,8,6,7]=>[5,8,7,6,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,4,2,3,5,8,6,7]=>[8,5,7,6,4,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[1,2,4,3,5,8,6,7]=>[8,7,5,6,4,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[1,2,4,5,3,8,6,7]=>[8,7,5,4,6,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[4,1,2,3,5,6,8,7]=>[5,8,7,6,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,4,2,3,5,6,8,7]=>[8,5,7,6,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[1,4,2,3,5,6,7,8]=>[8,5,7,6,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[2,6]
[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[[1,2],[3,4],[5,6],[7,8]]=>[3,2,2,1]
[5,6,1,2,7,3,8,4]=>[4,3,8,7,2,6,1,5]=>[[1,3],[2,4],[5,6],[7,8]]=>[2,3,2,1]
[5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>[[1,2],[3,5],[4,6],[7,8]]=>[4,3,1]
[5,6,1,7,2,3,8,4]=>[4,3,8,2,7,6,1,5]=>[[1,3],[2,5],[4,6],[7,8]]=>[2,2,3,1]
[5,6,7,1,2,3,8,4]=>[4,3,2,8,7,6,1,5]=>[[1,4],[2,5],[3,6],[7,8]]=>[3,4,1]
[5,1,6,2,7,8,3,4]=>[4,8,3,7,2,1,6,5]=>[[1,2],[3,4],[5,7],[6,8]]=>[3,3,2]
[5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]=>[[1,3],[2,4],[5,7],[6,8]]=>[2,4,2]
[5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>[[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]
[5,6,7,1,2,8,3,4]=>[4,3,2,8,7,1,6,5]=>[[1,4],[2,5],[3,7],[6,8]]=>[3,3,2]
[5,1,6,7,8,2,3,4]=>[4,8,3,2,1,7,6,5]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,3]
[5,6,7,1,8,2,3,4]=>[4,3,2,8,1,7,6,5]=>[[1,4],[2,6],[3,7],[5,8]]=>[3,2,3]
[5,6,1,2,7,3,4,8]=>[4,3,8,7,2,6,5,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[5,1,6,7,2,3,4,8]=>[4,8,3,2,7,6,5,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[5,6,1,7,2,3,4,8]=>[4,3,8,2,7,6,5,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[5,1,6,2,3,7,4,8]=>[4,8,3,7,6,2,5,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[5,6,1,2,3,7,4,8]=>[4,3,8,7,6,2,5,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[5,1,2,6,3,7,4,8]=>[4,8,7,3,6,2,5,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[5,1,2,6,7,3,4,8]=>[4,8,7,3,2,6,5,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,5,6,7,2,3,4,8]=>[8,4,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[5,6,1,2,3,7,8,4]=>[4,3,8,7,6,2,1,5]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[1,5,2,6,3,7,8,4]=>[8,4,7,3,6,2,1,5]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[1,5,6,2,3,7,8,4]=>[8,4,3,7,6,2,1,5]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[5,1,2,6,7,3,8,4]=>[4,8,7,3,2,6,1,5]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,5,2,6,7,3,8,4]=>[8,4,7,3,2,6,1,5]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[1,5,6,2,7,3,8,4]=>[8,4,3,7,2,6,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,5,6,7,2,3,8,4]=>[8,4,3,2,7,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[5,1,2,6,7,8,3,4]=>[4,8,7,3,2,1,6,5]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[1,5,6,7,2,8,3,4]=>[8,4,3,2,7,1,6,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[1,5,6,7,8,2,3,4]=>[8,4,3,2,1,7,6,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[5,1,6,2,8,3,4,7]=>[4,8,3,7,1,6,5,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[5,6,1,2,8,3,4,7]=>[4,3,8,7,1,6,5,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[5,1,6,8,2,3,4,7]=>[4,8,3,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[5,6,1,8,2,3,4,7]=>[4,3,8,1,7,6,5,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[5,6,8,1,2,3,4,7]=>[4,3,1,8,7,6,5,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[5,1,6,2,3,8,4,7]=>[4,8,3,7,6,1,5,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[5,6,1,2,3,8,4,7]=>[4,3,8,7,6,1,5,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[5,1,2,6,3,8,4,7]=>[4,8,7,3,6,1,5,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,5,2,6,3,8,4,7]=>[8,4,7,3,6,1,5,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[1,5,6,2,3,8,4,7]=>[8,4,3,7,6,1,5,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[5,1,2,6,8,3,4,7]=>[4,8,7,3,1,6,5,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,5,2,6,8,3,4,7]=>[8,4,7,3,1,6,5,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[5,1,6,2,3,4,8,7]=>[4,8,3,7,6,5,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[5,6,1,2,3,4,8,7]=>[4,3,8,7,6,5,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[5,1,2,6,3,4,8,7]=>[4,8,7,3,6,5,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[1,5,6,2,3,4,8,7]=>[8,4,3,7,6,5,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[1,5,2,3,6,4,8,7]=>[8,4,7,6,3,5,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[1,2,5,3,6,4,8,7]=>[8,7,4,6,3,5,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,2,5,6,3,4,8,7]=>[8,7,4,3,6,5,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[5,1,2,3,6,8,4,7]=>[4,8,7,6,3,1,5,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[1,5,2,3,6,8,4,7]=>[8,4,7,6,3,1,5,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[1,2,5,6,3,8,4,7]=>[8,7,4,3,6,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[5,1,6,2,3,4,7,8]=>[4,8,3,7,6,5,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[5,1,2,6,3,4,7,8]=>[4,8,7,3,6,5,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[1,5,6,2,3,4,7,8]=>[8,4,3,7,6,5,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[5,1,2,3,6,4,7,8]=>[4,8,7,6,3,5,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,5,2,3,6,4,7,8]=>[8,4,7,6,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[5,1,2,3,6,7,4,8]=>[4,8,7,6,3,2,5,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,2,5,3,6,7,4,8]=>[8,7,4,6,3,2,5,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[1,2,5,6,3,7,4,8]=>[8,7,4,3,6,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[5,1,2,3,6,7,8,4]=>[4,8,7,6,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,5,2,3,6,7,8,4]=>[8,4,7,6,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[1,2,5,3,6,7,8,4]=>[8,7,4,6,3,2,1,5]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[1,2,5,6,3,7,8,4]=>[8,7,4,3,6,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[1,2,5,6,7,3,8,4]=>[8,7,4,3,2,6,1,5]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[1,2,5,6,7,8,3,4]=>[8,7,4,3,2,1,6,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[5,1,7,2,8,3,4,6]=>[4,8,2,7,1,6,5,3]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[5,7,1,2,8,3,4,6]=>[4,2,8,7,1,6,5,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[5,1,7,8,2,3,4,6]=>[4,8,2,1,7,6,5,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[5,7,1,8,2,3,4,6]=>[4,2,8,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[5,7,8,1,2,3,4,6]=>[4,2,1,8,7,6,5,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>[3,5]
[5,1,7,2,3,8,4,6]=>[4,8,2,7,6,1,5,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[5,7,1,2,3,8,4,6]=>[4,2,8,7,6,1,5,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[5,1,2,7,3,8,4,6]=>[4,8,7,2,6,1,5,3]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,5,2,7,3,8,4,6]=>[8,4,7,2,6,1,5,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[1,5,7,2,3,8,4,6]=>[8,4,2,7,6,1,5,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[5,1,2,7,8,3,4,6]=>[4,8,7,2,1,6,5,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,5,2,7,8,3,4,6]=>[8,4,7,2,1,6,5,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[1,5,7,2,8,3,4,6]=>[8,4,2,7,1,6,5,3]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[5,1,7,2,3,4,8,6]=>[4,8,2,7,6,5,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[5,7,1,2,3,4,8,6]=>[4,2,8,7,6,5,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[5,1,2,7,3,4,8,6]=>[4,8,7,2,6,5,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[1,5,2,7,3,4,8,6]=>[8,4,7,2,6,5,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[1,5,7,2,3,4,8,6]=>[8,4,2,7,6,5,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[1,2,5,3,7,4,8,6]=>[8,7,4,6,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,2,5,7,3,4,8,6]=>[8,7,4,2,6,5,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[1,2,5,3,7,8,4,6]=>[8,7,4,6,2,1,5,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[1,2,5,7,3,8,4,6]=>[8,7,4,2,6,1,5,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[1,2,5,7,8,3,4,6]=>[8,7,4,2,1,6,5,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[5,1,7,2,3,4,6,8]=>[4,8,2,7,6,5,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[5,7,1,2,3,4,6,8]=>[4,2,8,7,6,5,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[5,1,2,7,3,4,6,8]=>[4,8,7,2,6,5,3,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,5,2,7,3,4,6,8]=>[8,4,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[5,1,2,3,7,4,6,8]=>[4,8,7,6,2,5,3,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,5,2,3,7,4,6,8]=>[8,4,7,6,2,5,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[1,2,5,7,3,4,6,8]=>[8,7,4,2,6,5,3,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[5,1,2,3,4,7,6,8]=>[4,8,7,6,5,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[1,2,5,3,4,7,6,8]=>[8,7,4,6,5,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[5,1,2,3,4,7,8,6]=>[4,8,7,6,5,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,5,2,3,4,7,8,6]=>[8,4,7,6,5,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[1,2,5,3,4,7,8,6]=>[8,7,4,6,5,2,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[1,2,3,5,7,4,8,6]=>[8,7,6,4,2,5,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[1,2,3,5,7,8,4,6]=>[8,7,6,4,2,1,5,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[5,1,8,2,3,4,6,7]=>[4,8,1,7,6,5,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[5,8,1,2,3,4,6,7]=>[4,1,8,7,6,5,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[5,1,2,8,3,4,6,7]=>[4,8,7,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[1,5,8,2,3,4,6,7]=>[8,4,1,7,6,5,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[5,1,2,3,8,4,6,7]=>[4,8,7,6,1,5,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[5,1,2,3,4,8,6,7]=>[4,8,7,6,5,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[1,2,5,3,4,8,6,7]=>[8,7,4,6,5,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[1,2,3,5,4,8,6,7]=>[8,7,6,4,5,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[1,2,3,5,8,4,6,7]=>[8,7,6,4,1,5,3,2]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[5,1,2,3,4,6,8,7]=>[4,8,7,6,5,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[1,2,5,3,4,6,8,7]=>[8,7,4,6,5,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[1,2,3,5,6,8,4,7]=>[8,7,6,4,3,1,5,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[1,5,2,3,4,6,7,8]=>[8,4,7,6,5,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[2,6]
[1,2,5,3,4,6,7,8]=>[8,7,4,6,5,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[3,5]
[6,1,7,2,8,3,4,5]=>[3,8,2,7,1,6,5,4]=>[[1,2],[3,4],[5,6],[7],[8]]=>[3,2,3]
[6,7,1,2,8,3,4,5]=>[3,2,8,7,1,6,5,4]=>[[1,3],[2,4],[5,6],[7],[8]]=>[2,3,3]
[6,1,7,8,2,3,4,5]=>[3,8,2,1,7,6,5,4]=>[[1,2],[3,5],[4,6],[7],[8]]=>[4,4]
[6,7,1,8,2,3,4,5]=>[3,2,8,1,7,6,5,4]=>[[1,3],[2,5],[4,6],[7],[8]]=>[2,2,4]
[6,1,7,2,3,8,4,5]=>[3,8,2,7,6,1,5,4]=>[[1,2],[3,4],[5,7],[6],[8]]=>[3,3,2]
[6,7,1,2,3,8,4,5]=>[3,2,8,7,6,1,5,4]=>[[1,3],[2,4],[5,7],[6],[8]]=>[2,4,2]
[6,1,2,7,3,8,4,5]=>[3,8,7,2,6,1,5,4]=>[[1,2],[3,5],[4,7],[6],[8]]=>[4,2,2]
[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>[[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,2]
[1,6,7,2,3,8,4,5]=>[8,3,2,7,6,1,5,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>[3,3,2]
[6,1,2,7,8,3,4,5]=>[3,8,7,2,1,6,5,4]=>[[1,2],[3,6],[4,7],[5],[8]]=>[5,3]
[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>[[1,3],[2,6],[4,7],[5],[8]]=>[2,3,3]
[1,6,7,2,8,3,4,5]=>[8,3,2,7,1,6,5,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>[3,2,3]
[1,6,7,8,2,3,4,5]=>[8,3,2,1,7,6,5,4]=>[[1,5],[2,6],[3,7],[4],[8]]=>[4,4]
[6,1,7,2,3,4,8,5]=>[3,8,2,7,6,5,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>[3,4,1]
[6,7,1,2,3,4,8,5]=>[3,2,8,7,6,5,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>[2,5,1]
[6,1,2,7,3,4,8,5]=>[3,8,7,2,6,5,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>[4,3,1]
[1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>[2,2,3,1]
[1,6,7,2,3,4,8,5]=>[8,3,2,7,6,5,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>[3,4,1]
[6,1,2,3,7,4,8,5]=>[3,8,7,6,2,5,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>[5,2,1]
[1,6,2,3,7,4,8,5]=>[8,3,7,6,2,5,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>[2,3,2,1]
[1,2,6,3,7,4,8,5]=>[8,7,3,6,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,2,6,7,3,4,8,5]=>[8,7,3,2,6,5,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>[4,3,1]
[6,1,2,3,7,8,4,5]=>[3,8,7,6,2,1,5,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,2]
[1,6,2,3,7,8,4,5]=>[8,3,7,6,2,1,5,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>[2,4,2]
[1,2,6,3,7,8,4,5]=>[8,7,3,6,2,1,5,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>[3,3,2]
[1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>[4,2,2]
[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,3]
[6,1,7,2,3,4,5,8]=>[3,8,2,7,6,5,4,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[6,1,2,7,3,4,5,8]=>[3,8,7,2,6,5,4,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,6,2,7,3,4,5,8]=>[8,3,7,2,6,5,4,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[1,6,7,2,3,4,5,8]=>[8,3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[6,1,2,3,7,4,5,8]=>[3,8,7,6,2,5,4,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,6,2,3,7,4,5,8]=>[8,3,7,6,2,5,4,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[6,1,2,3,4,7,5,8]=>[3,8,7,6,5,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,6,2,3,4,7,5,8]=>[8,3,7,6,5,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[5,3]
[6,1,2,3,4,7,8,5]=>[3,8,7,6,5,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[1,2,3,6,4,7,8,5]=>[8,7,6,3,5,2,1,4]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[1,2,3,6,7,8,4,5]=>[8,7,6,3,2,1,5,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[6,1,8,2,3,4,5,7]=>[3,8,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[6,8,1,2,3,4,5,7]=>[3,1,8,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[2,6]
[6,1,2,8,3,4,5,7]=>[3,8,7,1,6,5,4,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,6,2,8,3,4,5,7]=>[8,3,7,1,6,5,4,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[6,1,2,3,8,4,5,7]=>[3,8,7,6,1,5,4,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,6,2,3,8,4,5,7]=>[8,3,7,6,1,5,4,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[1,2,6,3,8,4,5,7]=>[8,7,3,6,1,5,4,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[1,2,6,8,3,4,5,7]=>[8,7,3,1,6,5,4,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[6,1,2,3,4,8,5,7]=>[3,8,7,6,5,1,4,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[1,2,6,3,4,8,5,7]=>[8,7,3,6,5,1,4,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[6,1,2,3,4,5,8,7]=>[3,8,7,6,5,4,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[1,2,3,4,6,8,5,7]=>[8,7,6,5,3,1,4,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[1,6,2,3,4,5,7,8]=>[8,3,7,6,5,4,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[2,6]
[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[3,5]
[1,2,3,6,4,5,7,8]=>[8,7,6,3,5,4,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[7,1,8,2,3,4,5,6]=>[2,8,1,7,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[3,5]
[7,1,2,8,3,4,5,6]=>[2,8,7,1,6,5,4,3]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[4,4]
[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,4]
[1,7,8,2,3,4,5,6]=>[8,2,1,7,6,5,4,3]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[3,5]
[7,1,2,3,8,4,5,6]=>[2,8,7,6,1,5,4,3]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[5,3]
[1,7,2,3,8,4,5,6]=>[8,2,7,6,1,5,4,3]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[2,3,3]
[1,2,7,3,8,4,5,6]=>[8,7,2,6,1,5,4,3]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[3,2,3]
[1,2,7,8,3,4,5,6]=>[8,7,2,1,6,5,4,3]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[4,4]
[7,1,2,3,4,8,5,6]=>[2,8,7,6,5,1,4,3]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[6,2]
[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[2,4,2]
[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[3,3,2]
[1,2,3,7,4,8,5,6]=>[8,7,6,2,5,1,4,3]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[4,2,2]
[7,1,2,3,4,5,8,6]=>[2,8,7,6,5,4,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,1]
[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[2,5,1]
[1,2,7,3,4,5,8,6]=>[8,7,2,6,5,4,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[3,4,1]
[1,2,3,7,4,5,8,6]=>[8,7,6,2,5,4,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[4,3,1]
[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[5,2,1]
[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,2]
[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[2,6]
[1,2,3,7,4,5,6,8]=>[8,7,6,2,5,4,3,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[1,2,3,4,7,5,6,8]=>[8,7,6,5,2,4,3,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[5,3]
[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[2,6]
[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[3,5]
[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[4,4]
[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[5,3]
[1,2,3,4,5,8,6,7]=>[8,7,6,5,4,1,3,2]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[6,2]
[5,3,2,6,1,4,8,7]=>[4,6,7,3,8,5,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[2,1,7,5,4,8,3,6]=>[7,8,2,4,5,1,6,3]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,4,7,2,8,1,3,5]=>[3,5,2,7,1,8,6,4]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[2,1,6,8,7,3,5,4]=>[7,8,3,1,2,6,4,5]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>[3,2,2,2,1]
[4,3,2,1,6,5,8,7,10,9]=>[7,8,9,10,5,6,3,4,1,2]=>[[1,2,3,4],[5,6],[7,8],[9,10]]=>[5,2,2,1]
[10,3,2,5,4,7,6,9,8,1]=>[1,8,9,6,7,4,5,2,3,10]=>[[1,2,3,10],[4,5],[6,7],[8,9]]=>[4,2,2,2]
[6,5,4,3,2,1,8,7,10,9]=>[5,6,7,8,9,10,3,4,1,2]=>[[1,2,3,4,5,6],[7,8],[9,10]]=>[7,2,1]
[10,5,4,3,2,7,6,9,8,1]=>[1,6,7,8,9,4,5,2,3,10]=>[[1,2,3,4,5,10],[6,7],[8,9]]=>[6,2,2]
[8,7,4,3,6,5,2,1,10,9]=>[3,4,7,8,5,6,9,10,1,2]=>[[1,2,3,4,7,8],[5,6],[9,10]]=>[5,4,1]
[10,9,4,3,6,5,8,7,2,1]=>[1,2,7,8,5,6,3,4,9,10]=>[[1,2,3,4,9,10],[5,6],[7,8]]=>[5,2,3]
[4,3,2,1,8,7,6,5,10,9]=>[7,8,9,10,3,4,5,6,1,2]=>[[1,2,3,4],[5,6,7,8],[9,10]]=>[5,4,1]
[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[10,7,6,5,4,3,2,9,8,1]=>[1,4,5,6,7,8,9,2,3,10]=>[[1,2,3,4,5,6,7,10],[8,9]]=>[8,2]
[10,9,6,5,4,3,8,7,2,1]=>[1,2,5,6,7,8,3,4,9,10]=>[[1,2,3,4,5,6,9,10],[7,8]]=>[7,3]
[10,9,8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8,9,10]=>[[1,2,3,4,5,8,9,10],[6,7]]=>[6,4]
[10,8,9,6,7,4,5,2,3,1]=>[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]
[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,1,4,3,6,5,10,9,8,7]=>[9,10,7,8,5,6,1,2,3,4]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>[3,2,2,3]
[10,3,2,5,4,9,8,7,6,1]=>[1,8,9,6,7,2,3,4,5,10]=>[[1,2,3,8,9,10],[4,5],[6,7]]=>[4,2,4]
[2,1,6,5,4,3,10,9,8,7]=>[9,10,5,6,7,8,1,2,3,4]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>[3,4,3]
[6,5,4,3,2,1,10,9,8,7]=>[5,6,7,8,9,10,1,2,3,4]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[10,5,4,3,2,9,8,7,6,1]=>[1,6,7,8,9,2,3,4,5,10]=>[[1,2,3,4,5,10],[6,7,8,9]]=>[6,4]
[10,9,4,3,8,7,6,5,2,1]=>[1,2,7,8,3,4,5,6,9,10]=>[[1,2,3,4,7,8,9,10],[5,6]]=>[5,5]
[2,1,4,3,10,9,8,7,6,5]=>[9,10,7,8,1,2,3,4,5,6]=>[[1,2,7,8,9,10],[3,4],[5,6]]=>[3,2,5]
[4,3,2,1,10,9,8,7,6,5]=>[7,8,9,10,1,2,3,4,5,6]=>[[1,2,3,4,9,10],[5,6,7,8]]=>[5,5]
[10,3,2,9,8,7,6,5,4,1]=>[1,8,9,2,3,4,5,6,7,10]=>[[1,2,3,6,7,8,9,10],[4,5]]=>[4,6]
[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[[1,2,3,4,5,6,7,8,9,10]]=>[10]
[3,2,5,1,4,6,7,8]=>[6,7,4,8,5,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[4,2,5,1,3,6,7,8]=>[5,7,4,8,6,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[5,2,4,1,3,6,7,8]=>[4,7,5,8,6,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[5,2,6,1,3,4,7,8]=>[4,7,3,8,6,5,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[5,3,6,1,2,4,7,8]=>[4,6,3,8,7,5,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[6,3,5,1,2,4,7,8]=>[3,6,4,8,7,5,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[4,2,7,1,3,5,6,8]=>[5,7,2,8,6,4,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[4,3,7,1,2,5,6,8]=>[5,6,2,8,7,4,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[6,2,7,1,3,4,5,8]=>[3,7,2,8,6,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[6,3,7,1,2,4,5,8]=>[3,6,2,8,7,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[6,4,7,1,2,3,5,8]=>[3,5,2,8,7,6,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[7,2,5,1,3,4,6,8]=>[2,7,4,8,6,5,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[7,3,5,1,2,4,6,8]=>[2,6,4,8,7,5,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[7,3,6,1,2,4,5,8]=>[2,6,3,8,7,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[3,2,8,1,4,5,6,7]=>[6,7,1,8,5,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[5,2,8,1,3,4,6,7]=>[4,7,1,8,6,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[5,3,8,1,2,4,6,7]=>[4,6,1,8,7,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[5,4,8,1,2,3,6,7]=>[4,5,1,8,7,6,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[6,2,8,1,3,4,5,7]=>[3,7,1,8,6,5,4,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[6,3,8,1,2,4,5,7]=>[3,6,1,8,7,5,4,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[6,5,8,1,2,3,4,7]=>[3,4,1,8,7,6,5,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[7,2,8,1,3,4,5,6]=>[2,7,1,8,6,5,4,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[7,5,8,1,2,3,4,6]=>[2,4,1,8,7,6,5,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,2,4,1,3,5,6,7]=>[1,7,5,8,6,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,2,5,1,3,4,6,7]=>[1,7,4,8,6,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,3,5,1,2,4,6,7]=>[1,6,4,8,7,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,4,6,1,2,3,5,7]=>[1,5,3,8,7,6,4,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,3,7,1,2,4,5,6]=>[1,6,2,8,7,5,4,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[8,5,7,1,2,3,4,6]=>[1,4,2,8,7,6,5,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,5]
[4,2,6,7,1,3,5,8]=>[5,7,3,2,8,6,4,1]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[6,2,5,7,1,3,4,8]=>[3,7,4,2,8,6,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[6,3,5,7,1,2,4,8]=>[3,6,4,2,8,7,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[7,2,4,6,1,3,5,8]=>[2,7,5,3,8,6,4,1]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[7,3,5,6,1,2,4,8]=>[2,6,4,3,8,7,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,2,5,8,1,4,6,7]=>[6,7,4,1,8,5,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[4,2,5,8,1,3,6,7]=>[5,7,4,1,8,6,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[4,3,5,8,1,2,6,7]=>[5,6,4,1,8,7,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,2,4,8,1,3,6,7]=>[4,7,5,1,8,6,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,2,6,8,1,4,5,7]=>[6,7,3,1,8,5,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[4,2,6,8,1,3,5,7]=>[5,7,3,1,8,6,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,2,6,8,1,3,4,7]=>[4,7,3,1,8,6,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,3,6,8,1,2,4,7]=>[4,6,3,1,8,7,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,4,6,8,1,2,3,7]=>[4,5,3,1,8,7,6,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[6,2,4,8,1,3,5,7]=>[3,7,5,1,8,6,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[6,3,4,8,1,2,5,7]=>[3,6,5,1,8,7,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[6,2,5,8,1,3,4,7]=>[3,7,4,1,8,6,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[6,3,5,8,1,2,4,7]=>[3,6,4,1,8,7,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,2,7,8,1,4,5,6]=>[6,7,2,1,8,5,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,2,7,8,1,3,4,6]=>[4,7,2,1,8,6,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,3,7,8,1,2,4,6]=>[4,6,2,1,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[5,4,7,8,1,2,3,6]=>[4,5,2,1,8,7,6,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[6,4,7,8,1,2,3,5]=>[3,5,2,1,8,7,6,4]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[7,3,4,8,1,2,5,6]=>[2,6,5,1,8,7,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[7,3,5,8,1,2,4,6]=>[2,6,4,1,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[7,4,5,8,1,2,3,6]=>[2,5,4,1,8,7,6,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,2,4,6,1,3,5,7]=>[1,7,5,3,8,6,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,3,5,6,1,2,4,7]=>[1,6,4,3,8,7,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,2,4,7,1,3,5,6]=>[1,7,5,2,8,6,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,3,4,7,1,2,5,6]=>[1,6,5,2,8,7,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,2,5,7,1,3,4,6]=>[1,7,4,2,8,6,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,3,5,7,1,2,4,6]=>[1,6,4,2,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,2,6,7,1,3,4,5]=>[1,7,3,2,8,6,5,4]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[8,4,6,7,1,2,3,5]=>[1,5,3,2,8,7,6,4]=>[[1,2,5],[3,6],[4,7],[8]]=>[4,4]
[3,6,2,5,1,4,7,8]=>[6,3,7,4,8,5,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,6,2,5,1,3,7,8]=>[5,3,7,4,8,6,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,6,3,5,1,2,7,8]=>[5,3,6,4,8,7,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[3,7,2,5,1,4,6,8]=>[6,2,7,4,8,5,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,7,3,5,1,2,6,8]=>[5,2,6,4,8,7,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,7,2,4,1,3,6,8]=>[4,2,7,5,8,6,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,7,3,4,1,2,6,8]=>[4,2,6,5,8,7,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[3,7,2,6,1,4,5,8]=>[6,2,7,3,8,5,4,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,7,3,6,1,2,5,8]=>[5,2,6,3,8,7,4,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,7,4,6,1,2,3,8]=>[4,2,5,3,8,7,6,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[6,7,2,4,1,3,5,8]=>[3,2,7,5,8,6,4,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[6,7,3,5,1,2,4,8]=>[3,2,6,4,8,7,5,1]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[3,8,2,5,1,4,6,7]=>[6,1,7,4,8,5,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,8,2,5,1,3,6,7]=>[5,1,7,4,8,6,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,8,2,4,1,3,6,7]=>[4,1,7,5,8,6,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,8,3,4,1,2,6,7]=>[4,1,6,5,8,7,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[3,8,2,6,1,4,5,7]=>[6,1,7,3,8,5,4,2]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,8,2,6,1,3,5,7]=>[5,1,7,3,8,6,4,2]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,8,3,6,1,2,4,7]=>[4,1,6,3,8,7,5,2]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,8,4,6,1,2,3,7]=>[4,1,5,3,8,7,6,2]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[6,8,2,4,1,3,5,7]=>[3,1,7,5,8,6,4,2]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[6,8,2,5,1,3,4,7]=>[3,1,7,4,8,6,5,2]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[3,8,2,7,1,4,5,6]=>[6,1,7,2,8,5,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,8,2,7,1,3,5,6]=>[5,1,7,2,8,6,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,8,3,7,1,2,5,6]=>[5,1,6,2,8,7,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,8,2,7,1,3,4,6]=>[4,1,7,2,8,6,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,8,3,7,1,2,4,6]=>[4,1,6,2,8,7,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[5,8,4,7,1,2,3,6]=>[4,1,5,2,8,7,6,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[6,8,3,7,1,2,4,5]=>[3,1,6,2,8,7,5,4]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[6,8,4,7,1,2,3,5]=>[3,1,5,2,8,7,6,4]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[6,8,5,7,1,2,3,4]=>[3,1,4,2,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[7,8,2,4,1,3,5,6]=>[2,1,7,5,8,6,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[7,8,3,5,1,2,4,6]=>[2,1,6,4,8,7,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[7,8,2,6,1,3,4,5]=>[2,1,7,3,8,6,5,4]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[7,8,4,6,1,2,3,5]=>[2,1,5,3,8,7,6,4]=>[[1,3,5],[2,4,6],[7],[8]]=>[2,2,4]
[4,3,2,6,1,5,7,8]=>[5,6,7,3,8,4,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,3,2,6,1,4,7,8]=>[4,6,7,3,8,5,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,4,2,6,1,3,7,8]=>[4,5,7,3,8,6,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,4,2,5,1,3,7,8]=>[3,5,7,4,8,6,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,5,2,4,1,3,7,8]=>[3,4,7,5,8,6,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[4,3,2,7,1,5,6,8]=>[5,6,7,2,8,4,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,3,2,7,1,4,6,8]=>[4,6,7,2,8,5,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,4,2,7,1,3,6,8]=>[4,5,7,2,8,6,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,4,3,7,1,2,6,8]=>[4,5,6,2,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,3,2,7,1,4,5,8]=>[3,6,7,2,8,5,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,4,2,7,1,3,5,8]=>[3,5,7,2,8,6,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,4,3,7,1,2,5,8]=>[3,5,6,2,8,7,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,5,3,7,1,2,4,8]=>[3,4,6,2,8,7,5,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,3,2,5,1,4,6,8]=>[2,6,7,4,8,5,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,4,2,5,1,3,6,8]=>[2,5,7,4,8,6,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,3,2,6,1,4,5,8]=>[2,6,7,3,8,5,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,4,2,6,1,3,5,8]=>[2,5,7,3,8,6,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,5,2,6,1,3,4,8]=>[2,4,7,3,8,6,5,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,5,3,6,1,2,4,8]=>[2,4,6,3,8,7,5,1]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[4,3,2,8,1,5,6,7]=>[5,6,7,1,8,4,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,3,2,8,1,4,6,7]=>[4,6,7,1,8,5,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[5,4,3,8,1,2,6,7]=>[4,5,6,1,8,7,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,3,2,8,1,4,5,7]=>[3,6,7,1,8,5,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,4,2,8,1,3,5,7]=>[3,5,7,1,8,6,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,4,3,8,1,2,5,7]=>[3,5,6,1,8,7,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,5,2,8,1,3,4,7]=>[3,4,7,1,8,6,5,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[6,5,4,8,1,2,3,7]=>[3,4,5,1,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,4,2,8,1,3,5,6]=>[2,5,7,1,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,4,3,8,1,2,5,6]=>[2,5,6,1,8,7,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,5,3,8,1,2,4,6]=>[2,4,6,1,8,7,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,6,3,8,1,2,4,5]=>[2,3,6,1,8,7,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[7,6,4,8,1,2,3,5]=>[2,3,5,1,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,3,2,5,1,4,6,7]=>[1,6,7,4,8,5,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,4,2,5,1,3,6,7]=>[1,5,7,4,8,6,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,5,2,4,1,3,6,7]=>[1,4,7,5,8,6,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,3,2,6,1,4,5,7]=>[1,6,7,3,8,5,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,4,2,6,1,3,5,7]=>[1,5,7,3,8,6,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,5,3,6,1,2,4,7]=>[1,4,6,3,8,7,5,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,6,2,4,1,3,5,7]=>[1,3,7,5,8,6,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,6,3,5,1,2,4,7]=>[1,3,6,4,8,7,5,2]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,3,2,7,1,4,5,6]=>[1,6,7,2,8,5,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,4,2,7,1,3,5,6]=>[1,5,7,2,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,5,3,7,1,2,4,6]=>[1,4,6,2,8,7,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,5,4,7,1,2,3,6]=>[1,4,5,2,8,7,6,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,7,2,4,1,3,5,6]=>[1,2,7,5,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,7,2,5,1,3,4,6]=>[1,2,7,4,8,6,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,7,3,5,1,2,4,6]=>[1,2,6,4,8,7,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,7,2,6,1,3,4,5]=>[1,2,7,3,8,6,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,7,3,6,1,2,4,5]=>[1,2,6,3,8,7,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[8,7,4,6,1,2,3,5]=>[1,2,5,3,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,4]
[3,6,2,5,8,1,4,7]=>[6,3,7,4,1,8,5,2]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[4,6,2,5,8,1,3,7]=>[5,3,7,4,1,8,6,2]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[5,6,2,4,8,1,3,7]=>[4,3,7,5,1,8,6,2]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[5,6,3,4,8,1,2,7]=>[4,3,6,5,1,8,7,2]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[3,7,2,5,8,1,4,6]=>[6,2,7,4,1,8,5,3]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[4,7,2,5,8,1,3,6]=>[5,2,7,4,1,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[4,7,3,5,8,1,2,6]=>[5,2,6,4,1,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[5,7,2,4,8,1,3,6]=>[4,2,7,5,1,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[5,7,3,4,8,1,2,6]=>[4,2,6,5,1,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[4,7,3,6,8,1,2,5]=>[5,2,6,3,1,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[5,7,3,6,8,1,2,4]=>[4,2,6,3,1,8,7,5]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[5,7,4,6,8,1,2,3]=>[4,2,5,3,1,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[6,7,2,4,8,1,3,5]=>[3,2,7,5,1,8,6,4]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[6,7,3,5,8,1,2,4]=>[3,2,6,4,1,8,7,5]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[3,8,2,5,7,1,4,6]=>[6,1,7,4,2,8,5,3]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[4,8,2,5,7,1,3,6]=>[5,1,7,4,2,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[4,8,3,5,7,1,2,6]=>[5,1,6,4,2,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[5,8,2,4,7,1,3,6]=>[4,1,7,5,2,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[3,8,2,6,7,1,4,5]=>[6,1,7,3,2,8,5,4]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[4,8,3,6,7,1,2,5]=>[5,1,6,3,2,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[5,8,2,6,7,1,3,4]=>[4,1,7,3,2,8,6,5]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[5,8,4,6,7,1,2,3]=>[4,1,5,3,2,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[6,8,3,4,7,1,2,5]=>[3,1,6,5,2,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[6,8,2,5,7,1,3,4]=>[3,1,7,4,2,8,6,5]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[7,8,2,4,6,1,3,5]=>[2,1,7,5,3,8,6,4]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[7,8,3,4,6,1,2,5]=>[2,1,6,5,3,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[7,8,2,5,6,1,3,4]=>[2,1,7,4,3,8,6,5]=>[[1,3,6],[2,4,7],[5,8]]=>[2,3,3]
[4,3,2,6,8,1,5,7]=>[5,6,7,3,1,8,4,2]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[5,3,2,6,8,1,4,7]=>[4,6,7,3,1,8,5,2]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[5,4,2,6,8,1,3,7]=>[4,5,7,3,1,8,6,2]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[5,4,3,6,8,1,2,7]=>[4,5,6,3,1,8,7,2]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,3,2,5,8,1,4,7]=>[3,6,7,4,1,8,5,2]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,4,3,5,8,1,2,7]=>[3,5,6,4,1,8,7,2]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,5,2,4,8,1,3,7]=>[3,4,7,5,1,8,6,2]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[4,3,2,7,8,1,5,6]=>[5,6,7,2,1,8,4,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[5,3,2,7,8,1,4,6]=>[4,6,7,2,1,8,5,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[5,4,2,7,8,1,3,6]=>[4,5,7,2,1,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[5,4,3,7,8,1,2,6]=>[4,5,6,2,1,8,7,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,4,2,7,8,1,3,5]=>[3,5,7,2,1,8,6,4]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,4,3,7,8,1,2,5]=>[3,5,6,2,1,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,5,2,7,8,1,3,4]=>[3,4,7,2,1,8,6,5]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[6,5,3,7,8,1,2,4]=>[3,4,6,2,1,8,7,5]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[7,4,2,5,8,1,3,6]=>[2,5,7,4,1,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[7,5,2,4,8,1,3,6]=>[2,4,7,5,1,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[7,6,2,4,8,1,3,5]=>[2,3,7,5,1,8,6,4]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[7,6,3,4,8,1,2,5]=>[2,3,6,5,1,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,3,2,5,7,1,4,6]=>[1,6,7,4,2,8,5,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,4,2,5,7,1,3,6]=>[1,5,7,4,2,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,4,3,5,7,1,2,6]=>[1,5,6,4,2,8,7,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,5,2,4,7,1,3,6]=>[1,4,7,5,2,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,5,3,4,7,1,2,6]=>[1,4,6,5,2,8,7,3]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,3,2,6,7,1,4,5]=>[1,6,7,3,2,8,5,4]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,4,3,6,7,1,2,5]=>[1,5,6,3,2,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,5,2,6,7,1,3,4]=>[1,4,7,3,2,8,6,5]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,5,3,6,7,1,2,4]=>[1,4,6,3,2,8,7,5]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,7,2,4,6,1,3,5]=>[1,2,7,5,3,8,6,4]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,7,3,4,6,1,2,5]=>[1,2,6,5,3,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[8,7,2,5,6,1,3,4]=>[1,2,7,4,3,8,6,5]=>[[1,2,3,6],[4,7],[5,8]]=>[5,3]
[4,3,7,2,6,1,5,8]=>[5,6,2,7,3,8,4,1]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[5,4,7,2,6,1,3,8]=>[4,5,2,7,3,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,3,7,2,5,1,4,8]=>[3,6,2,7,4,8,5,1]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,4,7,3,5,1,2,8]=>[3,5,2,6,4,8,7,1]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,5,7,2,4,1,3,8]=>[3,4,2,7,5,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[4,3,8,2,6,1,5,7]=>[5,6,1,7,3,8,4,2]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[5,3,8,2,6,1,4,7]=>[4,6,1,7,3,8,5,2]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[5,4,8,2,6,1,3,7]=>[4,5,1,7,3,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,4,8,2,5,1,3,7]=>[3,5,1,7,4,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,5,8,2,4,1,3,7]=>[3,4,1,7,5,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,5,8,3,4,1,2,7]=>[3,4,1,6,5,8,7,2]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[4,3,8,2,7,1,5,6]=>[5,6,1,7,2,8,4,3]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[5,4,8,2,7,1,3,6]=>[4,5,1,7,2,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[5,4,8,3,7,1,2,6]=>[4,5,1,6,2,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,4,8,2,7,1,3,5]=>[3,5,1,7,2,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,4,8,3,7,1,2,5]=>[3,5,1,6,2,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[6,5,8,4,7,1,2,3]=>[3,4,1,5,2,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,3,8,2,5,1,4,6]=>[2,6,1,7,4,8,5,3]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,5,8,2,4,1,3,6]=>[2,4,1,7,5,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,5,8,3,4,1,2,6]=>[2,4,1,6,5,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,4,8,2,6,1,3,5]=>[2,5,1,7,3,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,5,8,2,6,1,3,4]=>[2,4,1,7,3,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,5,8,4,6,1,2,3]=>[2,4,1,5,3,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,6,8,2,4,1,3,5]=>[2,3,1,7,5,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[7,6,8,2,5,1,3,4]=>[2,3,1,7,4,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,3,6,2,5,1,4,7]=>[1,6,3,7,4,8,5,2]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,4,6,2,5,1,3,7]=>[1,5,3,7,4,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,3,7,2,5,1,4,6]=>[1,6,2,7,4,8,5,3]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,4,7,2,5,1,3,6]=>[1,5,2,7,4,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,4,7,3,5,1,2,6]=>[1,5,2,6,4,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,5,7,2,4,1,3,6]=>[1,4,2,7,5,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,5,7,3,4,1,2,6]=>[1,4,2,6,5,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,3,7,2,6,1,4,5]=>[1,6,2,7,3,8,5,4]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,4,7,2,6,1,3,5]=>[1,5,2,7,3,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,4,7,3,6,1,2,5]=>[1,5,2,6,3,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,5,7,2,6,1,3,4]=>[1,4,2,7,3,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,5,7,4,6,1,2,3]=>[1,4,2,5,3,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,6,7,2,4,1,3,5]=>[1,3,2,7,5,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,6,7,2,5,1,3,4]=>[1,3,2,7,4,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[8,6,7,3,5,1,2,4]=>[1,3,2,6,4,8,7,5]=>[[1,2,4,6],[3,5,7],[8]]=>[3,2,3]
[5,4,3,2,7,1,6,8]=>[4,5,6,7,2,8,3,1]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,5,3,2,7,1,4,8]=>[3,4,6,7,2,8,5,1]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,5,4,2,7,1,3,8]=>[3,4,5,7,2,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,5,3,2,6,1,4,8]=>[2,4,6,7,3,8,5,1]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,5,4,2,6,1,3,8]=>[2,4,5,7,3,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,6,4,2,5,1,3,8]=>[2,3,5,7,4,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,6,5,2,4,1,3,8]=>[2,3,4,7,5,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[5,4,3,2,8,1,6,7]=>[4,5,6,7,1,8,3,2]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,4,3,2,8,1,5,7]=>[3,5,6,7,1,8,4,2]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,5,3,2,8,1,4,7]=>[3,4,6,7,1,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[6,5,4,3,8,1,2,7]=>[3,4,5,6,1,8,7,2]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,4,3,2,8,1,5,6]=>[2,5,6,7,1,8,4,3]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,5,4,2,8,1,3,6]=>[2,4,5,7,1,8,6,3]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,5,4,3,8,1,2,6]=>[2,4,5,6,1,8,7,3]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,6,3,2,8,1,4,5]=>[2,3,6,7,1,8,5,4]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[7,6,5,3,8,1,2,4]=>[2,3,4,6,1,8,7,5]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,5,3,2,6,1,4,7]=>[1,4,6,7,3,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,5,4,2,6,1,3,7]=>[1,4,5,7,3,8,6,2]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,6,3,2,5,1,4,7]=>[1,3,6,7,4,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,6,4,2,5,1,3,7]=>[1,3,5,7,4,8,6,2]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,4,3,2,7,1,5,6]=>[1,5,6,7,2,8,4,3]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,3,2,5,1,4,6]=>[1,2,6,7,4,8,5,3]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,4,2,5,1,3,6]=>[1,2,5,7,4,8,6,3]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,5,2,4,1,3,6]=>[1,2,4,7,5,8,6,3]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,3,2,6,1,4,5]=>[1,2,6,7,3,8,5,4]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,4,2,6,1,3,5]=>[1,2,5,7,3,8,6,4]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,4,3,6,1,2,5]=>[1,2,5,6,3,8,7,4]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,5,2,6,1,3,4]=>[1,2,4,7,3,8,6,5]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,6,2,4,1,3,5]=>[1,2,3,7,5,8,6,4]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,6,2,5,1,3,4]=>[1,2,3,7,4,8,6,5]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[8,7,6,3,5,1,2,4]=>[1,2,3,6,4,8,7,5]=>[[1,2,3,4,6],[5,7],[8]]=>[5,3]
[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[5,8,4,7,2,6,1,3]=>[4,1,5,2,7,3,8,6]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[5,8,4,7,3,6,1,2]=>[4,1,5,2,6,3,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[6,8,3,7,2,5,1,4]=>[3,1,6,2,7,4,8,5]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[6,8,4,7,3,5,1,2]=>[3,1,5,2,6,4,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[6,8,5,7,3,4,1,2]=>[3,1,4,2,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[7,8,3,6,2,5,1,4]=>[2,1,6,3,7,4,8,5]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[7,8,4,6,2,5,1,3]=>[2,1,5,3,7,4,8,6]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[7,8,5,6,2,4,1,3]=>[2,1,4,3,7,5,8,6]=>[[1,3,5,7],[2,4,6,8]]=>[2,2,2,2]
[5,4,3,8,2,7,1,6]=>[4,5,6,1,7,2,8,3]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[6,4,3,8,2,7,1,5]=>[3,5,6,1,7,2,8,4]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[6,5,3,8,2,7,1,4]=>[3,4,6,1,7,2,8,5]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[6,5,4,8,3,7,1,2]=>[3,4,5,1,6,2,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[7,5,4,8,2,6,1,3]=>[2,4,5,1,7,3,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[7,5,4,8,3,6,1,2]=>[2,4,5,1,6,3,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[7,6,4,8,2,5,1,3]=>[2,3,5,1,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[7,6,4,8,3,5,1,2]=>[2,3,5,1,6,4,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[7,6,5,8,2,4,1,3]=>[2,3,4,1,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[8,5,3,7,2,6,1,4]=>[1,4,6,2,7,3,8,5]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[8,5,4,7,2,6,1,3]=>[1,4,5,2,7,3,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[8,5,4,7,3,6,1,2]=>[1,4,5,2,6,3,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[8,6,3,7,2,5,1,4]=>[1,3,6,2,7,4,8,5]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[8,6,4,7,2,5,1,3]=>[1,3,5,2,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[8,6,5,7,2,4,1,3]=>[1,3,4,2,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[8,7,3,6,2,5,1,4]=>[1,2,6,3,7,4,8,5]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[8,7,4,6,2,5,1,3]=>[1,2,5,3,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[8,7,4,6,3,5,1,2]=>[1,2,5,3,6,4,8,7]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[8,7,5,6,2,4,1,3]=>[1,2,4,3,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>[4,2,2]
[6,5,4,3,2,8,1,7]=>[3,4,5,6,7,1,8,2]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[7,6,4,3,2,8,1,5]=>[2,3,5,6,7,1,8,4]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[7,6,5,4,2,8,1,3]=>[2,3,4,5,7,1,8,6]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[8,5,4,3,2,7,1,6]=>[1,4,5,6,7,2,8,3]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[8,6,4,3,2,7,1,5]=>[1,3,5,6,7,2,8,4]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[8,6,5,3,2,7,1,4]=>[1,3,4,6,7,2,8,5]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[8,7,4,3,2,6,1,5]=>[1,2,5,6,7,3,8,4]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[8,7,5,4,2,6,1,3]=>[1,2,4,5,7,3,8,6]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[8,7,6,3,2,5,1,4]=>[1,2,3,6,7,4,8,5]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[8,7,6,4,2,5,1,3]=>[1,2,3,5,7,4,8,6]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[8,7,6,5,2,4,1,3]=>[1,2,3,4,7,5,8,6]=>[[1,2,3,4,5,7],[6,8]]=>[6,2]
[8,1,2,3,4,7,5,6]=>[1,8,7,6,5,2,4,3]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[8,1,2,3,7,4,5,6]=>[1,8,7,6,2,5,4,3]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[7,1,2,3,6,4,8,5]=>[2,8,7,6,3,5,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[5,1,2,3,8,7,4,6]=>[4,8,7,6,1,2,5,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[8,1,2,3,6,7,4,5]=>[1,8,7,6,3,2,5,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[4,1,2,8,3,7,5,6]=>[5,8,7,1,6,2,4,3]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[8,1,2,5,3,4,6,7]=>[1,8,7,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[8,1,2,6,3,4,5,7]=>[1,8,7,3,6,5,4,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[7,1,2,6,3,4,8,5]=>[2,8,7,3,6,5,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[8,1,2,6,3,7,4,5]=>[1,8,7,3,6,2,5,4]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[4,1,2,8,6,3,5,7]=>[5,8,7,1,3,6,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[4,1,2,8,7,3,5,6]=>[5,8,7,1,2,6,4,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[4,1,2,7,6,3,8,5]=>[5,8,7,2,3,6,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[8,1,2,5,6,3,4,7]=>[1,8,7,4,3,6,5,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,1,2,5,7,3,4,6]=>[1,8,7,4,2,6,5,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,1,2,7,6,3,4,5]=>[1,8,7,2,3,6,5,4]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[7,1,2,5,6,3,8,4]=>[2,8,7,4,3,6,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[4,1,2,5,8,7,3,6]=>[5,8,7,4,1,2,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[8,1,2,5,6,7,3,4]=>[1,8,7,4,3,2,6,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[3,1,8,2,4,7,5,6]=>[6,8,1,7,5,2,4,3]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[3,1,8,2,6,4,5,7]=>[6,8,1,7,3,5,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[3,1,8,2,7,4,5,6]=>[6,8,1,7,2,5,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[3,1,7,2,6,4,8,5]=>[6,8,2,7,3,5,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,8,2,6,7,4,5]=>[6,8,1,7,3,2,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[7,1,4,2,3,5,8,6]=>[2,8,5,7,6,4,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[8,1,4,2,3,7,5,6]=>[1,8,5,7,6,2,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,1,5,2,3,4,6,7]=>[1,8,4,7,6,5,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[8,1,7,2,3,4,5,6]=>[1,8,2,7,6,5,4,3]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[6,1,5,2,3,8,4,7]=>[3,8,4,7,6,1,5,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,1,5,2,3,7,4,6]=>[1,8,4,7,6,2,5,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[6,1,8,2,3,7,4,5]=>[3,8,1,7,6,2,5,4]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[5,1,4,2,8,3,6,7]=>[4,8,5,7,1,6,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[5,1,4,2,7,3,8,6]=>[4,8,5,7,2,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[8,1,4,2,6,3,5,7]=>[1,8,5,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[7,1,4,2,6,3,8,5]=>[2,8,5,7,3,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[8,1,5,2,6,3,4,7]=>[1,8,4,7,3,6,5,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[8,1,5,2,7,3,4,6]=>[1,8,4,7,2,6,5,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[7,1,5,2,6,3,8,4]=>[2,8,4,7,3,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,1,4,2,6,8,3,7]=>[4,8,5,7,3,1,6,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[5,1,4,2,8,7,3,6]=>[4,8,5,7,1,2,6,3]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[8,1,5,2,6,7,3,4]=>[1,8,4,7,3,2,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[5,1,4,2,6,7,8,3]=>[4,8,5,7,3,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[3,1,4,8,2,7,5,6]=>[6,8,5,1,7,2,4,3]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[3,1,7,5,2,4,8,6]=>[6,8,2,4,7,5,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,1,8,6,2,4,5,7]=>[6,8,1,3,7,5,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[3,1,7,6,2,4,8,5]=>[6,8,2,3,7,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,1,8,5,2,7,4,6]=>[6,8,1,4,7,2,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[3,1,8,6,2,7,4,5]=>[6,8,1,3,7,2,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[8,1,4,5,2,3,6,7]=>[1,8,5,4,7,6,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[7,1,4,5,2,3,8,6]=>[2,8,5,4,7,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[7,1,4,8,2,3,5,6]=>[2,8,5,1,7,6,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[7,1,8,5,2,3,4,6]=>[2,8,1,4,7,6,5,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[7,1,8,6,2,3,4,5]=>[2,8,1,3,7,6,5,4]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[7,1,6,5,2,3,8,4]=>[2,8,3,4,7,6,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[8,1,4,5,2,7,3,6]=>[1,8,5,4,7,2,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[8,1,4,6,2,7,3,5]=>[1,8,5,3,7,2,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[8,1,6,5,2,7,3,4]=>[1,8,3,4,7,2,6,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[6,1,4,5,2,7,8,3]=>[3,8,5,4,7,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[3,1,4,8,7,2,5,6]=>[6,8,5,1,2,7,4,3]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[3,1,8,5,6,2,4,7]=>[6,8,1,4,3,7,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[3,1,8,5,7,2,4,6]=>[6,8,1,4,2,7,5,3]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[3,1,7,5,6,2,8,4]=>[6,8,2,4,3,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[8,1,4,5,7,2,3,6]=>[1,8,5,4,2,7,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[8,1,4,7,6,2,3,5]=>[1,8,5,2,3,7,6,4]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,1,7,5,6,2,3,4]=>[1,8,2,4,3,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,1,4,5,6,2,8,3]=>[2,8,5,4,3,7,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[3,1,4,5,8,7,2,6]=>[6,8,5,4,1,2,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[3,1,4,8,6,7,2,5]=>[6,8,5,1,3,2,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[3,1,8,5,6,7,2,4]=>[6,8,1,4,3,2,7,5]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[8,1,4,5,6,7,2,3]=>[1,8,5,4,3,2,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[2,8,1,3,4,7,5,6]=>[7,1,8,6,5,2,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[2,8,1,3,6,4,5,7]=>[7,1,8,6,3,5,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[2,8,1,3,7,4,5,6]=>[7,1,8,6,2,5,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[2,7,1,3,6,4,8,5]=>[7,2,8,6,3,5,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,5,1,3,8,7,4,6]=>[7,4,8,6,1,2,5,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[2,4,1,8,3,7,5,6]=>[7,5,8,1,6,2,4,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,8,1,5,3,4,6,7]=>[7,1,8,4,6,5,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[2,7,1,5,3,4,8,6]=>[7,2,8,4,6,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,8,1,6,3,4,5,7]=>[7,1,8,3,6,5,4,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[2,7,1,6,3,4,8,5]=>[7,2,8,3,6,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,6,1,5,3,8,4,7]=>[7,3,8,4,6,1,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,8,1,6,3,7,4,5]=>[7,1,8,3,6,2,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,6,1,5,3,7,8,4]=>[7,3,8,4,6,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,4,1,8,6,3,5,7]=>[7,5,8,1,3,6,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[2,4,1,8,7,3,5,6]=>[7,5,8,1,2,6,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[2,8,1,5,6,3,4,7]=>[7,1,8,4,3,6,5,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,8,1,5,7,3,4,6]=>[7,1,8,4,2,6,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,8,1,7,6,3,4,5]=>[7,1,8,2,3,6,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,7,1,5,6,3,8,4]=>[7,2,8,4,3,6,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,4,1,5,8,7,3,6]=>[7,5,8,4,1,2,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[2,8,1,5,6,7,3,4]=>[7,1,8,4,3,2,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[8,3,1,2,4,7,5,6]=>[1,6,8,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[6,3,1,2,4,7,8,5]=>[3,6,8,7,5,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,3,1,2,6,4,5,7]=>[1,6,8,7,3,5,4,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[8,3,1,2,7,4,5,6]=>[1,6,8,7,2,5,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[7,3,1,2,6,4,8,5]=>[2,6,8,7,3,5,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,3,1,2,6,8,4,7]=>[4,6,8,7,3,1,5,2]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[5,3,1,2,6,7,8,4]=>[4,6,8,7,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,4,1,2,3,7,5,6]=>[1,5,8,7,6,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[7,6,1,2,3,4,8,5]=>[2,3,8,7,6,5,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[5,8,1,2,3,7,4,6]=>[4,1,8,7,6,2,5,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[8,6,1,2,3,7,4,5]=>[1,3,8,7,6,2,5,4]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[5,4,1,2,8,3,6,7]=>[4,5,8,7,1,6,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[5,4,1,2,7,3,8,6]=>[4,5,8,7,2,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[8,4,1,2,7,3,5,6]=>[1,5,8,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[7,4,1,2,6,3,8,5]=>[2,5,8,7,3,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,8,1,2,7,3,4,6]=>[4,1,8,7,2,6,5,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,7,1,2,6,3,4,5]=>[1,2,8,7,3,6,5,4]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[5,7,1,2,6,3,8,4]=>[4,2,8,7,3,6,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[5,4,1,2,8,7,3,6]=>[4,5,8,7,1,2,6,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[8,4,1,2,6,7,3,5]=>[1,5,8,7,3,2,6,4]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[5,8,1,2,6,7,3,4]=>[4,1,8,7,3,2,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[5,4,1,2,6,7,8,3]=>[4,5,8,7,3,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[4,3,1,6,2,8,5,7]=>[5,6,8,3,7,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[4,3,1,6,2,7,8,5]=>[5,6,8,3,7,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[8,3,1,5,2,4,6,7]=>[1,6,8,4,7,5,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,3,1,5,2,4,8,6]=>[2,6,8,4,7,5,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,3,1,8,2,4,5,6]=>[2,6,8,1,7,5,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,3,1,6,2,4,8,5]=>[2,6,8,3,7,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[8,3,1,5,2,7,4,6]=>[1,6,8,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,3,1,6,2,7,4,5]=>[1,6,8,3,7,2,5,4]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,3,1,5,2,7,8,4]=>[3,6,8,4,7,2,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[8,4,1,5,2,3,6,7]=>[1,5,8,4,7,6,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,4,1,5,2,3,8,6]=>[2,5,8,4,7,6,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[8,4,1,6,2,3,5,7]=>[1,5,8,3,7,6,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,4,1,8,2,3,5,6]=>[2,5,8,1,7,6,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,4,1,6,2,3,8,5]=>[2,5,8,3,7,6,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[8,7,1,5,2,3,4,6]=>[1,2,8,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[8,7,1,6,2,3,4,5]=>[1,2,8,3,7,6,5,4]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[6,7,1,5,2,3,8,4]=>[3,2,8,4,7,6,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[6,4,1,5,2,8,3,7]=>[3,5,8,4,7,1,6,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,4,1,5,2,7,3,6]=>[1,5,8,4,7,2,6,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,4,1,6,2,7,3,5]=>[1,5,8,3,7,2,6,4]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,8,1,5,2,7,3,4]=>[3,1,8,4,7,2,6,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[6,4,1,5,2,7,8,3]=>[3,5,8,4,7,2,1,6]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[4,3,1,8,7,2,5,6]=>[5,6,8,1,2,7,4,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[4,3,1,7,6,2,8,5]=>[5,6,8,2,3,7,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[8,3,1,5,6,2,4,7]=>[1,6,8,4,3,7,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[8,3,1,5,7,2,4,6]=>[1,6,8,4,2,7,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[8,3,1,7,6,2,4,5]=>[1,6,8,2,3,7,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,3,1,5,6,2,8,4]=>[2,6,8,4,3,7,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[8,4,1,5,6,2,3,7]=>[1,5,8,4,3,7,6,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[8,4,1,5,7,2,3,6]=>[1,5,8,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[8,4,1,7,6,2,3,5]=>[1,5,8,2,3,7,6,4]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,8,1,5,6,2,3,4]=>[2,1,8,4,3,7,6,5]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[7,4,1,5,6,2,8,3]=>[2,5,8,4,3,7,1,6]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[4,3,1,5,6,8,2,7]=>[5,6,8,4,3,1,7,2]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[4,3,1,5,8,7,2,6]=>[5,6,8,4,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[4,3,1,8,6,7,2,5]=>[5,6,8,1,3,2,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[8,3,1,5,6,7,2,4]=>[1,6,8,4,3,2,7,5]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,4,1,5,6,7,2,3]=>[1,5,8,4,3,2,7,6]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[4,3,1,5,6,7,8,2]=>[5,6,8,4,3,2,1,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[2,3,8,1,7,4,5,6]=>[7,6,1,8,2,5,4,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[2,3,7,1,6,4,8,5]=>[7,6,2,8,3,5,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[2,3,5,1,8,7,4,6]=>[7,6,4,8,1,2,5,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,3,8,1,6,7,4,5]=>[7,6,1,8,3,2,5,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[2,8,4,1,3,5,6,7]=>[7,1,5,8,6,4,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[2,7,4,1,3,5,8,6]=>[7,2,5,8,6,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,6,4,1,3,7,8,5]=>[7,3,5,8,6,2,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,7,5,1,3,4,8,6]=>[7,2,4,8,6,5,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,8,7,1,3,4,5,6]=>[7,1,2,8,6,5,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[2,8,5,1,3,7,4,6]=>[7,1,4,8,6,2,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[2,6,8,1,3,7,4,5]=>[7,3,1,8,6,2,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[2,6,5,1,3,7,8,4]=>[7,3,4,8,6,2,1,5]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,5,4,1,8,3,6,7]=>[7,4,5,8,1,6,3,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,8,4,1,6,3,5,7]=>[7,1,5,8,3,6,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,8,4,1,7,3,5,6]=>[7,1,5,8,2,6,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,7,4,1,6,3,8,5]=>[7,2,5,8,3,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,8,5,1,6,3,4,7]=>[7,1,4,8,3,6,5,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,8,5,1,7,3,4,6]=>[7,1,4,8,2,6,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,7,8,1,6,3,4,5]=>[7,2,1,8,3,6,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[2,7,5,1,6,3,8,4]=>[7,2,4,8,3,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,5,4,1,8,7,3,6]=>[7,4,5,8,1,2,6,3]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[2,8,4,1,6,7,3,5]=>[7,1,5,8,3,2,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,8,5,1,6,7,3,4]=>[7,1,4,8,3,2,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,5,4,1,6,7,8,3]=>[7,4,5,8,3,2,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[6,3,4,1,2,8,5,7]=>[3,6,5,8,7,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[8,3,4,1,2,7,5,6]=>[1,6,5,8,7,2,4,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,3,4,1,2,7,8,5]=>[3,6,5,8,7,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,3,5,1,2,4,8,6]=>[2,6,4,8,7,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[6,3,7,1,2,4,8,5]=>[3,6,2,8,7,5,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[6,3,5,1,2,8,4,7]=>[3,6,4,8,7,1,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[8,3,5,1,2,7,4,6]=>[1,6,4,8,7,2,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,3,8,1,2,7,4,5]=>[3,6,1,8,7,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[6,3,5,1,2,7,8,4]=>[3,6,4,8,7,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,5,4,1,2,3,8,6]=>[2,4,5,8,7,6,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,7,4,1,2,3,8,5]=>[3,2,5,8,7,6,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[6,8,5,1,2,3,4,7]=>[3,1,4,8,7,6,5,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[6,7,5,1,2,3,8,4]=>[3,2,4,8,7,6,1,5]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[8,5,4,1,2,7,3,6]=>[1,4,5,8,7,2,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,8,4,1,2,7,3,5]=>[3,1,5,8,7,2,6,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[6,8,5,1,2,7,3,4]=>[3,1,4,8,7,2,6,5]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[6,5,4,1,2,7,8,3]=>[3,4,5,8,7,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[5,3,4,1,8,2,6,7]=>[4,6,5,8,1,7,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,3,4,1,6,2,5,7]=>[1,6,5,8,3,7,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,3,4,1,7,2,5,6]=>[1,6,5,8,2,7,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[7,3,4,1,6,2,8,5]=>[2,6,5,8,3,7,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[8,3,5,1,6,2,4,7]=>[1,6,4,8,3,7,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,3,5,1,7,2,4,6]=>[1,6,4,8,2,7,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[7,3,8,1,6,2,4,5]=>[2,6,1,8,3,7,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[7,3,5,1,6,2,8,4]=>[2,6,4,8,3,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[8,5,4,1,6,2,3,7]=>[1,4,5,8,3,7,6,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,5,4,1,7,2,3,6]=>[1,4,5,8,2,7,6,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,8,4,1,6,2,3,5]=>[2,1,5,8,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[7,8,5,1,6,2,3,4]=>[2,1,4,8,3,7,6,5]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[7,5,4,1,6,2,8,3]=>[2,4,5,8,3,7,1,6]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[5,3,4,1,6,8,2,7]=>[4,6,5,8,3,1,7,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[5,3,4,1,8,7,2,6]=>[4,6,5,8,1,2,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[8,3,4,1,6,7,2,5]=>[1,6,5,8,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[8,3,5,1,6,7,2,4]=>[1,6,4,8,3,2,7,5]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[8,5,4,1,6,7,2,3]=>[1,4,5,8,3,2,7,6]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[5,3,4,1,6,7,8,2]=>[4,6,5,8,3,2,1,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[2,3,4,8,1,7,5,6]=>[7,6,5,1,8,2,4,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[2,3,7,5,1,4,8,6]=>[7,6,2,4,8,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[2,3,8,6,1,4,5,7]=>[7,6,1,3,8,5,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[2,3,7,6,1,4,8,5]=>[7,6,2,3,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[2,3,8,5,1,7,4,6]=>[7,6,1,4,8,2,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,3,8,6,1,7,4,5]=>[7,6,1,3,8,2,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,3,6,5,1,7,8,4]=>[7,6,3,4,8,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[2,8,4,5,1,3,6,7]=>[7,1,5,4,8,6,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[2,7,4,5,1,3,8,6]=>[7,2,5,4,8,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[2,8,4,6,1,3,5,7]=>[7,1,5,3,8,6,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[2,7,4,8,1,3,5,6]=>[7,2,5,1,8,6,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[2,7,4,6,1,3,8,5]=>[7,2,5,3,8,6,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[2,8,6,5,1,3,4,7]=>[7,1,3,4,8,6,5,2]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[2,7,8,5,1,3,4,6]=>[7,2,1,4,8,6,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[2,7,8,6,1,3,4,5]=>[7,2,1,3,8,6,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[2,7,6,5,1,3,8,4]=>[7,2,3,4,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[2,6,4,5,1,8,3,7]=>[7,3,5,4,8,1,6,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,8,4,5,1,7,3,6]=>[7,1,5,4,8,2,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,8,4,6,1,7,3,5]=>[7,1,5,3,8,2,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,8,6,5,1,7,3,4]=>[7,1,3,4,8,2,6,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[2,6,4,5,1,7,8,3]=>[7,3,5,4,8,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[7,3,4,5,1,2,8,6]=>[2,6,5,4,8,7,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[7,3,4,6,1,2,8,5]=>[2,6,5,3,8,7,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,3,6,5,1,2,4,7]=>[1,6,3,4,8,7,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,3,8,5,1,2,4,6]=>[2,6,1,4,8,7,5,3]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[7,3,8,6,1,2,4,5]=>[2,6,1,3,8,7,5,4]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[7,3,6,5,1,2,8,4]=>[2,6,3,4,8,7,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[7,6,4,5,1,2,8,3]=>[2,3,5,4,8,7,1,6]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[6,3,4,5,1,8,2,7]=>[3,6,5,4,8,1,7,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[8,3,4,5,1,7,2,6]=>[1,6,5,4,8,2,7,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[8,3,4,6,1,7,2,5]=>[1,6,5,3,8,2,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[8,3,6,5,1,7,2,4]=>[1,6,3,4,8,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[8,6,4,5,1,7,2,3]=>[1,3,5,4,8,2,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[6,3,4,5,1,7,8,2]=>[3,6,5,4,8,2,1,7]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[2,3,4,8,6,1,5,7]=>[7,6,5,1,3,8,4,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[2,3,4,8,7,1,5,6]=>[7,6,5,1,2,8,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[2,3,4,7,6,1,8,5]=>[7,6,5,2,3,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,3,8,5,6,1,4,7]=>[7,6,1,4,3,8,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[2,3,8,5,7,1,4,6]=>[7,6,1,4,2,8,5,3]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[2,3,8,7,6,1,4,5]=>[7,6,1,2,3,8,5,4]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[2,3,7,5,6,1,8,4]=>[7,6,2,4,3,8,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[2,8,4,5,6,1,3,7]=>[7,1,5,4,3,8,6,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[2,8,4,5,7,1,3,6]=>[7,1,5,4,2,8,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[2,8,4,7,6,1,3,5]=>[7,1,5,2,3,8,6,4]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[2,8,7,5,6,1,3,4]=>[7,1,2,4,3,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[2,7,4,5,6,1,8,3]=>[7,2,5,4,3,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[8,3,4,5,7,1,2,6]=>[1,6,5,4,2,8,7,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[8,3,4,7,6,1,2,5]=>[1,6,5,2,3,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[8,3,7,5,6,1,2,4]=>[1,6,2,4,3,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[7,3,4,5,6,1,8,2]=>[2,6,5,4,3,8,1,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[2,3,4,5,8,7,1,6]=>[7,6,5,4,1,2,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[2,3,4,8,6,7,1,5]=>[7,6,5,1,3,2,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[2,3,8,5,6,7,1,4]=>[7,6,1,4,3,2,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[2,8,4,5,6,7,1,3]=>[7,1,5,4,3,2,8,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[9,1,2,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9]
[3,1,5,2,7,4,9,6,8]=>[7,9,5,8,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>[3,2,2,2]
[8,1,4,5,6,7,2,9,3]=>[2,9,6,5,4,3,8,1,7]=>[[1,2,7],[3,9],[4],[5],[6],[8]]=>[6,2,1]
[2,4,1,6,3,8,5,9,7]=>[8,6,9,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[2,2,2,2,1]
[9,3,1,2,4,5,6,7,8]=>[1,7,9,8,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9]
[9,7,1,2,3,4,5,6,8]=>[1,3,9,8,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9]
[9,7,5,1,2,3,4,6,8]=>[1,3,5,9,8,7,6,4,2]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9]
[9,8,6,5,1,2,3,4,7]=>[1,2,4,5,9,8,7,6,3]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[9]
[2,3,4,5,6,7,8,9,1]=>[8,7,6,5,4,3,2,1,9]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[]=>[]=>[]=>[]
[3,5,2,6,1,4,8,7]=>[6,4,7,3,8,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,5,2,6,4,1,8,7]=>[6,4,7,3,5,8,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[3,5,2,7,4,8,1,6]=>[6,4,7,2,5,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,5,2,7,4,8,6,1]=>[6,4,7,2,5,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,5,7,2,3,8,6,1]=>[5,4,2,7,6,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,5,7,2,3,8,1,6]=>[5,4,2,7,6,1,8,3]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[4,5,6,2,3,1,8,7]=>[5,4,3,7,6,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[4,5,6,2,1,3,8,7]=>[5,4,3,7,8,6,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,5,1,6,4,2,8,7]=>[6,4,8,3,5,7,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[4,5,6,1,3,2,8,7]=>[5,4,3,8,6,7,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[4,5,6,3,1,2,8,7]=>[5,4,3,6,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[4,5,7,3,2,8,1,6]=>[5,4,2,6,7,1,8,3]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[4,5,7,3,2,8,6,1]=>[5,4,2,6,7,1,3,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[4,6,7,3,8,2,5,1]=>[5,3,2,6,1,7,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[4,6,7,3,8,2,1,5]=>[5,3,2,6,1,7,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[4,6,7,3,8,1,2,5]=>[5,3,2,6,1,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,5,7,3,1,8,2,6]=>[5,4,2,6,8,1,7,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[4,5,7,1,3,8,2,6]=>[5,4,2,8,6,1,7,3]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,5,1,7,4,8,2,6]=>[6,4,8,2,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,1,5,7,4,8,3,6]=>[7,8,4,2,5,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,1,5,7,4,8,6,3]=>[7,8,4,2,5,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[3,5,1,7,4,8,6,2]=>[6,4,8,2,5,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,5,7,1,3,8,6,2]=>[5,4,2,8,6,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,5,7,3,1,8,6,2]=>[5,4,2,6,8,1,3,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[4,6,7,3,8,1,5,2]=>[5,3,2,6,1,8,4,7]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[4,6,7,3,8,5,1,2]=>[5,3,2,6,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[4,6,7,3,8,5,2,1]=>[5,3,2,6,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,6,7,8,3,1,4,2]=>[4,3,2,1,6,8,5,7]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[5,6,7,8,1,3,4,2]=>[4,3,2,1,8,6,5,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,6,7,1,8,3,5,2]=>[5,3,2,8,1,6,4,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,6,1,7,8,4,5,2]=>[6,3,8,2,1,5,4,7]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,1,6,7,8,4,5,3]=>[7,8,3,2,1,5,4,6]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[2,1,6,7,8,4,3,5]=>[7,8,3,2,1,5,6,4]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[3,6,1,7,8,4,2,5]=>[6,3,8,2,1,5,7,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[4,6,7,1,8,3,2,5]=>[5,3,2,8,1,6,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[5,6,7,8,1,3,2,4]=>[4,3,2,1,8,6,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,5,7,2,1,8,3,6]=>[5,4,2,7,8,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[4,6,7,2,8,1,3,5]=>[5,3,2,7,1,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,6,7,2,8,3,1,5]=>[5,3,2,7,1,6,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,6,7,2,8,3,5,1]=>[5,3,2,7,1,6,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,6,2,7,8,4,5,1]=>[6,3,7,2,1,5,4,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[3,6,2,7,8,4,1,5]=>[6,3,7,2,1,5,8,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[3,6,2,7,8,1,4,5]=>[6,3,7,2,1,8,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[3,5,2,7,1,8,4,6]=>[6,4,7,2,8,1,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[3,4,2,1,7,8,5,6]=>[6,5,7,8,2,1,4,3]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[3,4,1,2,7,8,6,5]=>[6,5,8,7,2,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[3,5,2,7,1,8,6,4]=>[6,4,7,2,8,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[3,6,2,7,8,1,5,4]=>[6,3,7,2,1,8,4,5]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[3,6,2,7,8,5,1,4]=>[6,3,7,2,1,4,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[3,6,2,7,8,5,4,1]=>[6,3,7,2,1,4,5,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[4,6,7,2,8,5,3,1]=>[5,3,2,7,1,4,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,6,7,2,8,5,1,3]=>[5,3,2,7,1,4,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[4,6,7,2,8,1,5,3]=>[5,3,2,7,1,8,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[4,5,7,2,1,8,6,3]=>[5,4,2,7,8,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[4,5,7,1,2,8,6,3]=>[5,4,2,8,7,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,5,1,7,2,8,6,4]=>[6,4,8,2,7,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,1,5,7,3,8,6,4]=>[7,8,4,2,6,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[2,1,6,7,8,3,5,4]=>[7,8,3,2,1,6,4,5]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[3,6,1,7,8,2,5,4]=>[6,3,8,2,1,7,4,5]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[4,6,7,1,8,2,5,3]=>[5,3,2,8,1,7,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,6,7,8,1,2,4,3]=>[4,3,2,1,8,7,5,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[5,6,7,8,2,1,4,3]=>[4,3,2,1,7,8,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[5,6,7,8,2,4,1,3]=>[4,3,2,1,7,5,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,6,7,8,2,4,3,1]=>[4,3,2,1,7,5,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,6,7,8,1,4,2,3]=>[4,3,2,1,8,5,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,6,7,1,8,5,2,3]=>[5,3,2,8,1,4,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,6,1,7,8,5,2,4]=>[6,3,8,2,1,4,7,5]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[2,1,6,7,8,5,3,4]=>[7,8,3,2,1,4,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[3,6,1,7,8,5,4,2]=>[6,3,8,2,1,4,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[4,6,7,1,8,5,3,2]=>[5,3,2,8,1,4,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,6,7,8,1,4,3,2]=>[4,3,2,1,8,5,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,6,7,8,4,1,3,2]=>[4,3,2,1,5,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[3,4,2,1,6,5,8,7,10,9]=>[8,7,9,10,5,6,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7,10],[9]]=>[2,3,2,2,1]
[3,5,2,7,4,9,6,10,8,1]=>[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]
[4,6,8,3,9,5,10,7,2,1]=>[7,5,3,8,2,6,1,4,9,10]=>[[1,4,9,10],[2,6],[3,8],[5],[7]]=>[3,2,2,3]
[5,7,8,9,4,10,6,3,2,1]=>[6,4,3,2,7,1,5,8,9,10]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>[4,2,4]
[6,7,8,9,10,5,4,3,2,1]=>[5,4,3,2,1,6,7,8,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,5]
[6,5,8,7,3,4,1,2]=>[3,4,1,2,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[3,6,7,4,5,8,1,2]=>[6,3,2,5,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[2,6,7,4,5,1,8,3]=>[7,3,2,5,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[1,5,4,7,6,2,3,8]=>[8,4,5,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[2,5,4,7,6,1,8,3]=>[7,4,5,2,3,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[3,5,4,7,6,8,1,2]=>[6,4,5,2,3,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[4,5,3,7,8,6,1,2]=>[5,4,6,2,1,3,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[5,4,3,8,7,6,1,2]=>[4,5,6,1,2,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[6,4,8,3,7,5,1,2]=>[3,5,1,6,2,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[6,3,8,4,5,7,1,2]=>[3,6,1,5,4,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[5,3,4,8,6,7,1,2]=>[4,6,5,1,3,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[4,3,5,6,8,7,1,2]=>[5,6,4,3,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[3,2,5,6,1,8,7,4]=>[6,7,4,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[4,2,5,6,8,1,7,3]=>[5,7,4,3,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[5,2,4,8,6,1,7,3]=>[4,7,5,1,3,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,8,2,4,5,1,6,3]=>[2,1,7,5,4,8,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,8,1,4,5,2,3,6]=>[2,1,8,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[6,1,8,4,5,2,3,7]=>[3,8,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[5,1,4,8,6,2,3,7]=>[4,8,5,1,3,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[4,1,3,2,8,6,5,7]=>[5,8,6,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[5,1,3,8,2,6,4,7]=>[4,8,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[6,1,8,3,2,5,4,7]=>[3,8,1,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[7,8,1,3,2,5,4,6]=>[2,1,8,6,7,4,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,8,2,3,1,5,6,4]=>[2,1,7,6,8,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[6,2,8,3,1,5,7,4]=>[3,7,1,6,8,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[6,3,8,2,1,7,5,4]=>[3,6,1,7,8,2,4,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[7,8,3,2,1,6,5,4]=>[2,1,6,7,8,3,4,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[7,8,4,2,6,1,5,3]=>[2,1,5,7,3,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[5,4,2,8,7,1,6,3]=>[4,5,7,1,2,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[4,5,2,7,8,1,6,3]=>[5,4,7,2,1,8,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[2,5,3,7,1,6,8,4]=>[7,4,6,2,8,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,6,7,3,2,5,4,8]=>[8,3,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[2,6,7,3,1,5,8,4]=>[7,3,2,6,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[3,6,7,2,1,8,5,4]=>[6,3,2,7,8,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[7,8,5,6,2,1,4,3]=>[2,1,4,3,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[6,5,8,7,1,2,3,4]=>[3,4,1,2,8,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[5,4,1,8,7,2,3,6]=>[4,5,8,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[6,4,8,1,7,2,3,5]=>[3,5,1,8,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[7,8,3,1,2,6,4,5]=>[2,1,6,8,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[5,3,1,8,2,7,4,6]=>[4,6,8,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[4,3,1,2,8,7,5,6]=>[5,6,8,7,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[4,2,1,3,8,5,7,6]=>[5,7,8,6,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[5,2,1,8,3,4,7,6]=>[4,7,8,1,6,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[6,2,8,1,3,4,7,5]=>[3,7,1,8,6,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[7,8,2,1,3,4,6,5]=>[2,1,7,8,6,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[4,3,1,2,6,5,8,7]=>[5,6,8,7,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,3,1,6,2,4,8,7]=>[4,6,8,3,7,5,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[6,3,1,5,2,4,8,7]=>[3,6,8,4,7,5,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,3,1,5,2,8,4,6]=>[2,6,8,4,7,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,4,5,1,2,7,3,6]=>[1,5,4,8,7,2,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[7,4,5,1,2,8,3,6]=>[2,5,4,8,7,1,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,4,5,1,2,3,8,7]=>[3,5,4,8,7,6,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[5,4,6,1,2,3,8,7]=>[4,5,3,8,7,6,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[2,1,6,5,3,4,8,7]=>[7,8,3,4,6,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,6,1,5,2,4,8,7]=>[6,3,8,4,7,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[4,6,5,1,2,3,8,7]=>[5,3,4,8,7,6,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[5,6,4,1,2,3,8,7]=>[4,3,5,8,7,6,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[6,5,4,1,2,3,8,7]=>[3,4,5,8,7,6,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,5,4,1,2,8,3,6]=>[2,4,5,8,7,1,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,6,4,1,7,2,3,5]=>[1,3,5,8,2,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,6,4,1,8,2,3,5]=>[2,3,5,8,1,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[6,7,4,1,8,2,3,5]=>[3,2,5,8,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[5,7,4,1,2,8,3,6]=>[4,2,5,8,7,1,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[4,7,5,1,2,8,3,6]=>[5,2,4,8,7,1,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[3,7,1,5,2,8,4,6]=>[6,2,8,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,1,7,5,3,8,4,6]=>[7,8,2,4,6,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,1,8,5,3,7,4,6]=>[7,8,1,4,6,2,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[3,8,1,5,2,7,4,6]=>[6,1,8,4,7,2,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,8,5,1,2,7,3,6]=>[5,1,4,8,7,2,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,8,4,1,2,7,3,6]=>[4,1,5,8,7,2,6,3]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[6,8,4,1,7,2,3,5]=>[3,1,5,8,2,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,7,4,1,6,2,3,5]=>[1,2,5,8,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,8,6,7,1,2,3,4]=>[4,1,3,2,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,8,6,1,7,2,3,5]=>[5,1,3,8,2,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[3,8,1,6,7,2,4,5]=>[6,1,8,3,2,7,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,1,8,6,7,3,4,5]=>[7,8,1,3,2,6,5,4]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[2,1,7,6,8,3,4,5]=>[7,8,2,3,1,6,5,4]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[3,7,1,6,8,2,4,5]=>[6,2,8,3,1,7,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[4,7,6,1,8,2,3,5]=>[5,2,3,8,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[5,7,6,8,1,2,3,4]=>[4,2,3,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[5,4,7,1,2,8,3,6]=>[4,5,2,8,7,1,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,4,7,1,8,2,3,5]=>[3,5,2,8,1,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[7,4,6,1,8,2,3,5]=>[2,5,3,8,1,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,4,6,1,7,2,3,5]=>[1,5,3,8,2,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,3,1,6,7,2,4,5]=>[1,6,8,3,2,7,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[7,3,1,6,8,2,4,5]=>[2,6,8,3,1,7,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[6,3,1,7,8,2,4,5]=>[3,6,8,2,1,7,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,3,1,7,2,8,4,6]=>[4,6,8,2,7,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[4,3,1,2,7,8,5,6]=>[5,6,8,7,2,1,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[2,1,4,3,8,7,5,6]=>[7,8,5,6,1,2,4,3]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[3,4,1,2,8,7,5,6]=>[6,5,8,7,1,2,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[6,3,1,8,7,2,4,5]=>[3,6,8,1,2,7,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[7,3,1,8,6,2,4,5]=>[2,6,8,1,3,7,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[8,4,7,1,6,2,3,5]=>[1,5,2,8,3,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,4,8,1,6,2,3,5]=>[2,5,1,8,3,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[5,4,8,1,2,7,3,6]=>[4,5,1,8,7,2,6,3]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[4,5,8,1,2,7,3,6]=>[5,4,1,8,7,2,6,3]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[3,5,1,8,2,7,4,6]=>[6,4,8,1,7,2,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,1,5,8,3,7,4,6]=>[7,8,4,1,6,2,5,3]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[2,1,6,8,7,3,4,5]=>[7,8,3,1,2,6,5,4]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[3,6,1,8,7,2,4,5]=>[6,3,8,1,2,7,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[4,6,8,1,7,2,3,5]=>[5,3,1,8,2,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[5,6,8,7,1,2,3,4]=>[4,3,1,2,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[7,5,8,6,1,2,3,4]=>[2,4,1,3,8,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[8,5,7,6,1,2,3,4]=>[1,4,2,3,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,7,8,6,1,2,3,4]=>[4,2,1,3,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[4,7,8,1,6,2,3,5]=>[5,2,1,8,3,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,7,1,8,6,2,4,5]=>[6,2,8,1,3,7,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[2,1,7,8,6,3,4,5]=>[7,8,2,1,3,6,5,4]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[2,1,8,7,6,3,4,5]=>[7,8,1,2,3,6,5,4]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[3,8,1,7,6,2,4,5]=>[6,1,8,2,3,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[4,8,7,1,6,2,3,5]=>[5,1,2,8,3,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[5,8,7,6,1,2,3,4]=>[4,1,2,3,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,8,7,5,1,2,3,4]=>[3,1,2,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,4,7,3,8,5,1,2]=>[3,5,2,6,1,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[6,4,7,3,5,8,1,2]=>[3,5,2,6,4,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[6,4,7,2,5,1,8,3]=>[3,5,2,7,4,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,4,2,7,6,1,3,8]=>[4,5,7,2,3,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,4,2,7,6,1,8,3]=>[4,5,7,2,3,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[5,4,3,7,6,8,1,2]=>[4,5,6,2,3,1,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[5,4,3,7,8,6,1,2]=>[4,5,6,2,1,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[6,4,8,3,5,7,1,2]=>[3,5,1,6,4,2,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[5,4,3,8,6,7,1,2]=>[4,5,6,1,3,2,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[5,4,3,6,8,7,1,2]=>[4,5,6,3,1,2,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,4,2,6,7,1,8,3]=>[4,5,7,3,2,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,4,2,6,7,1,3,8]=>[4,5,7,3,2,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[5,3,2,6,1,7,4,8]=>[4,6,7,3,8,2,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[5,3,2,6,1,7,8,4]=>[4,6,7,3,8,2,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[5,3,2,6,1,8,7,4]=>[4,6,7,3,8,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[5,4,2,6,8,1,7,3]=>[4,5,7,3,1,8,2,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[5,4,2,8,6,1,7,3]=>[4,5,7,1,3,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,8,4,2,5,1,6,3]=>[2,1,5,7,4,8,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[7,8,4,2,5,1,3,6]=>[2,1,5,7,4,8,6,3]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[5,4,2,8,6,1,3,7]=>[4,5,7,1,3,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,3,2,6,1,8,4,7]=>[4,6,7,3,8,1,5,2]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[4,3,2,1,6,8,5,7]=>[5,6,7,8,3,1,4,2]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[4,3,2,1,8,6,5,7]=>[5,6,7,8,1,3,4,2]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,3,2,8,1,6,4,7]=>[4,6,7,1,8,3,5,2]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,3,8,2,1,5,4,7]=>[3,6,1,7,8,4,5,2]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,8,3,2,1,5,4,6]=>[2,1,6,7,8,4,5,3]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,8,3,2,1,5,6,4]=>[2,1,6,7,8,4,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[6,3,8,2,1,5,7,4]=>[3,6,1,7,8,4,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[5,4,2,7,8,1,6,3]=>[4,5,7,2,1,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[5,3,2,7,1,8,6,4]=>[4,6,7,2,8,1,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[5,3,2,7,1,6,8,4]=>[4,6,7,2,8,3,1,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,3,7,2,1,5,4,8]=>[3,6,2,7,8,4,5,1]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[6,3,7,2,1,5,8,4]=>[3,6,2,7,8,4,1,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[6,3,7,2,1,8,5,4]=>[3,6,2,7,8,1,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,4,7,2,8,1,5,3]=>[3,5,2,7,1,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[6,5,7,8,2,1,4,3]=>[3,4,2,1,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[6,5,8,7,2,1,3,4]=>[3,4,1,2,7,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,3,7,2,1,8,4,5]=>[3,6,2,7,8,1,5,4]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,3,7,2,1,4,8,5]=>[3,6,2,7,8,5,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[6,3,7,2,1,4,5,8]=>[3,6,2,7,8,5,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,3,2,7,1,4,8,6]=>[4,6,7,2,8,5,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[5,4,2,8,7,1,3,6]=>[4,5,7,1,2,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,8,4,2,6,1,3,5]=>[2,1,5,7,3,8,6,4]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[7,8,3,2,1,6,4,5]=>[2,1,6,7,8,3,5,4]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[6,3,8,2,1,7,4,5]=>[3,6,1,7,8,2,5,4]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[5,3,2,8,1,7,4,6]=>[4,6,7,1,8,2,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,3,2,1,8,7,5,6]=>[5,6,7,8,1,2,4,3]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[4,3,2,1,7,5,8,6]=>[5,6,7,8,2,4,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[4,3,2,1,7,5,6,8]=>[5,6,7,8,2,4,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,3,2,1,8,5,7,6]=>[5,6,7,8,1,4,2,3]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,3,2,8,1,4,7,6]=>[4,6,7,1,8,5,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,3,8,2,1,4,7,5]=>[3,6,1,7,8,5,2,4]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,8,3,2,1,4,6,5]=>[2,1,6,7,8,5,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[6,3,8,2,1,4,5,7]=>[3,6,1,7,8,5,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[4,3,2,1,8,5,6,7]=>[5,6,7,8,1,4,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,3,2,1,5,8,6,7]=>[5,6,7,8,4,1,3,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,8,5,6,1,2,4,3]=>[2,1,4,3,8,7,5,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,8,4,1,6,2,5,3]=>[2,1,5,8,3,7,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[7,8,1,4,6,2,5,3]=>[2,1,8,5,3,7,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[6,1,8,4,7,2,5,3]=>[3,8,1,5,2,7,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,6,8,3,2,7,5,4]=>[8,3,1,6,7,2,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,1,8,3,2,7,5,4]=>[3,8,1,6,7,2,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,8,1,3,2,6,5,4]=>[2,1,8,6,7,3,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[7,8,3,1,2,6,5,4]=>[2,1,6,8,7,3,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,8,2,4,6,1,5,3]=>[2,1,7,5,3,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,8,2,3,1,6,5,4]=>[2,1,7,6,8,3,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[7,8,2,1,3,6,5,4]=>[2,1,7,8,6,3,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[7,8,1,2,3,6,5,4]=>[2,1,8,7,6,3,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[6,1,8,2,3,7,5,4]=>[3,8,1,7,6,2,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[1,6,8,2,3,7,5,4]=>[8,3,1,7,6,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,5,2,8,3,7,6,4]=>[8,4,7,1,6,2,3,5]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[5,1,2,8,3,7,6,4]=>[4,8,7,1,6,2,3,5]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,2,1,8,3,7,6,4]=>[4,7,8,1,6,2,3,5]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,2,8,1,3,7,5,4]=>[3,7,1,8,6,2,4,5]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,2,8,3,1,7,5,4]=>[3,7,1,6,8,2,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[6,3,8,4,7,5,1,2]=>[3,6,1,5,2,4,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[3,6,8,4,7,5,1,2]=>[6,3,1,5,2,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,6,8,4,7,1,5,3]=>[7,3,1,5,2,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[2,6,8,3,1,7,5,4]=>[7,3,1,6,8,2,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[2,6,8,1,3,7,5,4]=>[7,3,1,8,6,2,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[2,5,1,8,3,7,6,4]=>[7,4,8,1,6,2,3,5]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,4,1,3,8,7,6,5]=>[7,5,8,6,1,2,3,4]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[2,5,3,8,1,7,6,4]=>[7,4,6,1,8,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,5,4,8,7,1,6,3]=>[7,4,5,1,2,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[3,5,4,8,7,6,1,2]=>[6,4,5,1,2,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[5,3,4,8,7,6,1,2]=>[4,6,5,1,2,3,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[5,2,4,8,7,1,6,3]=>[4,7,5,1,2,8,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,2,1,3,8,7,6,5]=>[5,7,8,6,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[4,1,2,3,8,7,6,5]=>[5,8,7,6,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,4,2,3,8,7,6,5]=>[8,5,7,6,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[4,1,3,2,8,7,6,5]=>[5,8,6,7,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[4,3,1,2,8,7,6,5]=>[5,6,8,7,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,3,8,1,2,7,5,4]=>[3,6,1,8,7,2,4,5]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[5,3,1,8,2,7,6,4]=>[4,6,8,1,7,2,3,5]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,1,3,8,2,7,6,4]=>[4,8,6,1,7,2,3,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,5,4,8,7,2,6,3]=>[8,4,5,1,2,7,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[5,1,4,8,7,2,6,3]=>[4,8,5,1,2,7,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[5,4,1,8,7,2,6,3]=>[4,5,8,1,2,7,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[6,4,8,1,7,2,5,3]=>[3,5,1,8,2,7,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,5,8,7,1,2,4,3]=>[3,4,1,2,8,7,5,6]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[5,6,8,7,3,4,1,2]=>[4,3,1,2,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[5,6,8,7,2,1,4,3]=>[4,3,1,2,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[4,5,1,8,7,2,6,3]=>[5,4,8,1,2,7,3,6]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[4,1,5,8,7,2,6,3]=>[5,8,4,1,2,7,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[1,4,5,8,7,2,6,3]=>[8,5,4,1,2,7,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[1,3,5,8,2,7,6,4]=>[8,6,4,1,7,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[3,1,5,8,2,7,6,4]=>[6,8,4,1,7,2,3,5]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[3,6,8,1,2,7,5,4]=>[6,3,1,8,7,2,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[3,6,8,2,1,7,5,4]=>[6,3,1,7,8,2,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[4,6,8,2,7,1,5,3]=>[5,3,1,7,2,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,6,8,3,7,5,1,2]=>[5,3,1,6,2,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[4,5,3,8,7,6,1,2]=>[5,4,6,1,2,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,5,2,8,7,1,6,3]=>[5,4,7,1,2,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[3,5,2,8,1,7,6,4]=>[6,4,7,1,8,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,1,4,2,8,7,6,5]=>[6,8,5,7,1,2,3,4]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[3,1,2,4,8,7,6,5]=>[6,8,7,5,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,2,5,8,1,7,6,4]=>[6,7,4,1,8,2,3,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,2,5,8,7,1,6,3]=>[5,7,4,1,2,8,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,3,5,8,7,6,1,2]=>[5,6,4,1,2,3,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,4,5,8,7,6,1,2]=>[6,5,4,1,2,3,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,4,5,8,7,1,6,3]=>[7,5,4,1,2,8,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[2,3,5,8,1,7,6,4]=>[7,6,4,1,8,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,1,3,2,6,5,8,7]=>[5,8,6,7,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,1,3,2,6,4,8,7]=>[4,8,6,7,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[6,1,3,2,5,4,8,7]=>[3,8,6,7,4,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,1,3,2,5,4,8,6]=>[2,8,6,7,4,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[8,1,3,2,5,4,7,6]=>[1,8,6,7,4,5,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[8,1,4,2,5,3,7,6]=>[1,8,5,7,4,6,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,1,4,2,5,3,8,6]=>[2,8,5,7,4,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[6,1,4,2,5,3,8,7]=>[3,8,5,7,4,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,1,4,2,6,3,8,7]=>[4,8,5,7,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[2,1,6,3,5,4,8,7]=>[7,8,3,6,4,5,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,6,2,5,4,8,7]=>[6,8,3,7,4,5,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,1,6,2,5,3,8,7]=>[5,8,3,7,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[6,2,5,1,4,3,8,7]=>[3,7,4,8,5,6,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[5,2,6,1,4,3,8,7]=>[4,7,3,8,5,6,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[5,2,7,1,4,3,8,6]=>[4,7,2,8,5,6,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[5,2,8,1,4,3,7,6]=>[4,7,1,8,5,6,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[6,2,8,1,4,3,7,5]=>[3,7,1,8,5,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[6,2,7,1,4,3,8,5]=>[3,7,2,8,5,6,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[7,2,6,1,4,3,8,5]=>[2,7,3,8,5,6,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,2,5,1,4,3,8,6]=>[2,7,4,8,5,6,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[4,1,7,2,5,3,8,6]=>[5,8,2,7,4,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,7,2,5,4,8,6]=>[6,8,2,7,4,5,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[2,1,7,3,5,4,8,6]=>[7,8,2,6,4,5,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[2,1,8,3,5,4,7,6]=>[7,8,1,6,4,5,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,8,2,5,4,7,6]=>[6,8,1,7,4,5,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,1,8,2,5,3,7,6]=>[5,8,1,7,4,6,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[8,2,5,1,4,3,7,6]=>[1,7,4,8,5,6,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[8,2,6,1,4,3,7,5]=>[1,7,3,8,5,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,1,4,3,8,2,6,5]=>[2,8,5,6,1,7,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[8,1,4,3,7,2,6,5]=>[1,8,5,6,2,7,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[8,1,5,3,7,2,6,4]=>[1,8,4,6,2,7,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[7,1,5,3,8,2,6,4]=>[2,8,4,6,1,7,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[8,2,6,1,5,3,7,4]=>[1,7,3,8,4,6,2,5]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[5,1,8,2,6,3,7,4]=>[4,8,1,7,3,6,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,1,8,2,6,3,7,5]=>[5,8,1,7,3,6,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,8,2,6,4,7,5]=>[6,8,1,7,3,5,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[2,1,8,3,6,4,7,5]=>[7,8,1,6,3,5,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[2,1,7,3,6,4,8,5]=>[7,8,2,6,3,5,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,1,7,2,6,3,8,5]=>[5,8,2,7,3,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,1,7,2,6,3,8,4]=>[4,8,2,7,3,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,2,6,1,5,3,8,4]=>[2,7,3,8,4,6,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[6,2,7,1,5,3,8,4]=>[3,7,2,8,4,6,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[6,2,8,1,5,3,7,4]=>[3,7,1,8,4,6,2,5]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[8,1,5,2,6,3,7,4]=>[1,8,4,7,3,6,2,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[6,1,5,2,7,3,8,4]=>[3,8,4,7,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[6,1,4,2,7,3,8,5]=>[3,8,5,7,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[8,1,4,2,6,3,7,5]=>[1,8,5,7,3,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[8,1,3,2,6,4,7,5]=>[1,8,6,7,3,5,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,1,3,2,6,4,8,5]=>[2,8,6,7,3,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[6,1,3,2,7,4,8,5]=>[3,8,6,7,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,1,3,2,7,4,8,6]=>[4,8,6,7,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,1,3,2,7,5,8,6]=>[5,8,6,7,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[2,1,4,3,8,5,7,6]=>[7,8,5,6,1,4,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,1,4,2,8,5,7,6]=>[6,8,5,7,1,4,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,1,3,2,8,5,7,6]=>[5,8,6,7,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[5,1,3,2,8,4,7,6]=>[4,8,6,7,1,5,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[6,1,3,2,8,4,7,5]=>[3,8,6,7,1,5,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[8,4,7,1,3,2,6,5]=>[1,5,2,8,6,7,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,4,8,1,3,2,6,5]=>[2,5,1,8,6,7,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,3,8,1,4,2,6,5]=>[2,6,1,8,5,7,3,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[8,3,7,1,4,2,6,5]=>[1,6,2,8,5,7,3,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[6,1,4,2,8,3,7,5]=>[3,8,5,7,1,6,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[5,1,4,2,8,3,7,6]=>[4,8,5,7,1,6,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,1,5,2,8,3,7,6]=>[5,8,4,7,1,6,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,1,5,2,8,4,7,6]=>[6,8,4,7,1,5,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,1,5,3,8,4,7,6]=>[7,8,4,6,1,5,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,1,6,3,8,4,7,5]=>[7,8,3,6,1,5,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,1,6,2,8,4,7,5]=>[6,8,3,7,1,5,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,1,6,2,8,3,7,5]=>[5,8,3,7,1,6,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[5,1,6,2,8,3,7,4]=>[4,8,3,7,1,6,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[6,1,5,2,8,3,7,4]=>[3,8,4,7,1,6,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[8,3,7,1,5,2,6,4]=>[1,6,2,8,4,7,3,5]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,3,8,1,5,2,6,4]=>[2,6,1,8,4,7,3,5]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[6,2,7,3,8,1,5,4]=>[3,7,2,6,1,8,4,5]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[6,2,8,3,7,1,5,4]=>[3,7,1,6,2,8,4,5]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[8,3,7,2,6,1,5,4]=>[1,6,2,7,3,8,4,5]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[5,1,8,3,7,2,6,4]=>[4,8,1,6,2,7,3,5]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[4,1,8,3,7,2,6,5]=>[5,8,1,6,2,7,3,4]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[3,1,8,4,7,2,6,5]=>[6,8,1,5,2,7,3,4]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[2,1,8,4,7,3,6,5]=>[7,8,1,5,2,6,3,4]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[2,1,7,4,8,3,6,5]=>[7,8,2,5,1,6,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[3,1,7,4,8,2,6,5]=>[6,8,2,5,1,7,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[4,1,7,3,8,2,6,5]=>[5,8,2,6,1,7,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[5,1,7,3,8,2,6,4]=>[4,8,2,6,1,7,3,5]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[7,3,8,2,6,1,5,4]=>[2,6,1,7,3,8,4,5]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[8,2,6,3,7,1,5,4]=>[1,7,3,6,2,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[7,2,6,3,8,1,5,4]=>[2,7,3,6,1,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[3,4,2,6,8,1,5,7]=>[6,5,7,3,1,8,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[5,3,6,2,8,1,4,7]=>[4,6,3,7,1,8,5,2]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[5,3,6,2,4,8,1,7]=>[4,6,3,7,5,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[5,7,3,8,2,4,1,6]=>[4,2,6,1,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[5,7,3,8,2,4,6,1]=>[4,2,6,1,7,5,3,8]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[7,4,2,5,8,3,6,1]=>[2,5,7,4,1,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[7,4,2,5,8,3,1,6]=>[2,5,7,4,1,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[4,5,2,6,3,8,1,7]=>[5,4,7,3,6,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[4,5,2,1,6,8,3,7]=>[5,4,7,8,3,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,3,1,6,8,2,4,7]=>[4,6,8,3,1,7,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,6,2,8,1,3,4,7]=>[4,3,7,1,8,6,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[3,5,6,1,4,8,2,7]=>[6,4,3,8,5,1,7,2]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[4,1,5,6,3,8,2,7]=>[5,8,4,3,6,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,5,1,6,3,8,2,7]=>[5,4,8,3,6,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[4,5,6,3,2,8,1,7]=>[5,4,3,6,7,1,8,2]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[7,4,5,3,8,2,1,6]=>[2,5,4,6,1,7,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[7,4,5,3,8,2,6,1]=>[2,5,4,6,1,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[6,7,4,8,3,2,5,1]=>[3,2,5,1,6,7,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[6,7,4,8,3,2,1,5]=>[3,2,5,1,6,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[6,7,4,1,8,3,2,5]=>[3,2,5,8,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[7,4,5,3,1,8,2,6]=>[2,5,4,6,8,1,7,3]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[4,7,1,5,8,3,2,6]=>[5,2,8,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[5,3,7,8,1,4,2,6]=>[4,6,2,1,8,5,7,3]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[7,5,8,2,4,6,1,3]=>[2,4,1,7,5,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,3,5,8,1,4,6,2]=>[2,6,4,1,8,5,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[4,5,1,7,8,3,6,2]=>[5,4,8,2,1,6,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[7,4,1,5,8,3,6,2]=>[2,5,8,4,1,6,3,7]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[6,7,4,3,8,1,5,2]=>[3,2,5,6,1,8,4,7]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[6,7,4,8,3,1,5,2]=>[3,2,5,1,6,8,4,7]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[6,7,4,8,3,5,2,1]=>[3,2,5,1,6,4,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[5,6,7,3,8,4,2,1]=>[4,3,2,6,1,5,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,6,7,3,1,8,4,2]=>[4,3,2,6,8,1,5,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[5,6,1,7,3,8,4,2]=>[4,3,8,2,6,1,5,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[5,1,6,7,3,8,4,2]=>[4,8,3,2,6,1,5,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[6,4,7,1,8,3,5,2]=>[3,5,2,8,1,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[6,7,8,3,1,4,5,2]=>[3,2,1,6,8,5,4,7]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[6,7,2,8,4,5,1,3]=>[3,2,7,1,5,4,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,7,2,8,4,1,3,5]=>[3,2,7,1,5,8,6,4]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[6,1,7,4,8,3,2,5]=>[3,8,2,5,1,6,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[5,1,6,7,3,2,8,4]=>[4,8,3,2,6,7,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[5,6,1,7,3,2,8,4]=>[4,3,8,2,6,7,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[5,6,7,3,2,1,8,4]=>[4,3,2,6,7,8,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[5,6,7,3,2,8,4,1]=>[4,3,2,6,7,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[5,6,2,7,3,8,4,1]=>[4,3,7,2,6,1,5,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[5,6,2,7,3,1,8,4]=>[4,3,7,2,6,8,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[5,6,2,1,7,3,8,4]=>[4,3,7,8,2,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[6,1,7,4,2,8,3,5]=>[3,8,2,5,7,1,6,4]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[6,7,2,1,8,3,4,5]=>[3,2,7,8,1,6,5,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[7,5,8,2,1,3,4,6]=>[2,4,1,7,8,6,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,7,3,1,8,2,4,6]=>[4,2,6,8,1,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[4,7,1,5,2,8,3,6]=>[5,2,8,4,7,1,6,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[7,4,2,5,1,8,3,6]=>[2,5,7,4,8,1,6,3]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[6,7,4,2,1,8,3,5]=>[3,2,5,7,8,1,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[6,7,4,2,8,3,1,5]=>[3,2,5,7,1,6,8,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[6,7,4,2,8,3,5,1]=>[3,2,5,7,1,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[3,6,7,2,8,4,5,1]=>[6,3,2,7,1,5,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,6,7,2,8,4,1,5]=>[6,3,2,7,1,5,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,6,7,2,1,8,4,5]=>[6,3,2,7,8,1,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[5,7,3,8,2,1,4,6]=>[4,2,6,1,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[3,4,7,8,2,1,5,6]=>[6,5,2,1,7,8,4,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,7,8,1,4,6,2,5]=>[6,2,1,8,5,3,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[3,4,7,8,2,6,1,5]=>[6,5,2,1,7,3,8,4]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,7,3,8,2,6,1,4]=>[4,2,6,1,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,6,7,2,8,5,1,4]=>[6,3,2,7,1,4,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,6,7,8,5,2,1,4]=>[6,3,2,1,4,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[3,6,7,8,5,2,4,1]=>[6,3,2,1,4,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[6,4,7,8,2,5,3,1]=>[3,5,2,1,7,4,6,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[6,4,7,8,2,1,5,3]=>[3,5,2,1,7,8,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[4,1,5,7,8,2,6,3]=>[5,8,4,2,1,7,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,3,7,8,1,6,2,4]=>[4,6,2,1,8,3,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[6,7,2,8,5,1,3,4]=>[3,2,7,1,4,8,6,5]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[6,4,1,7,8,2,5,3]=>[3,5,8,2,1,7,4,6]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[5,1,6,2,7,8,4,3]=>[4,8,3,7,2,1,5,6]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[5,6,2,1,7,8,4,3]=>[4,3,7,8,2,1,5,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[5,6,2,7,1,8,4,3]=>[4,3,7,2,8,1,5,6]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[5,6,2,7,8,4,3,1]=>[4,3,7,2,1,5,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,6,7,2,8,4,3,1]=>[4,3,2,7,1,5,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,6,7,2,1,8,4,3]=>[4,3,2,7,8,1,5,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[5,6,1,7,2,8,4,3]=>[4,3,8,2,7,1,5,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[5,1,6,7,2,8,4,3]=>[4,8,3,2,7,1,5,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[3,6,7,1,8,5,2,4]=>[6,3,2,8,1,4,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[6,7,8,5,2,4,1,3]=>[3,2,1,4,7,5,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[6,7,8,3,5,1,4,2]=>[3,2,1,6,4,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,6,7,8,1,5,3,2]=>[5,3,2,1,8,4,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,1,6,7,8,4,3,2]=>[4,8,3,2,1,5,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,6,1,7,8,4,3,2]=>[4,3,8,2,1,5,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,6,7,1,8,4,3,2]=>[4,3,2,8,1,5,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[8,6,1,3,4,2,5,7]=>[1,3,8,6,5,7,4,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[8,3,2,5,1,6,4,7]=>[1,6,7,4,8,3,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,5,3,6,2,4,1,7]=>[1,4,6,3,7,5,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[5,3,2,7,4,1,8,6]=>[4,6,7,2,5,8,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[7,5,3,8,2,4,6,1]=>[2,4,6,1,7,5,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[7,2,4,5,8,3,6,1]=>[2,7,5,4,1,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[2,4,5,3,7,1,8,6]=>[7,5,4,6,2,8,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[8,2,4,5,6,3,1,7]=>[1,7,5,4,3,6,8,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[8,2,4,5,6,1,3,7]=>[1,7,5,4,3,8,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,1,2,4,5,6,3,7]=>[1,8,7,5,4,3,6,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[8,2,5,1,3,6,4,7]=>[1,7,4,8,6,3,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[8,5,6,2,1,4,3,7]=>[1,4,3,7,8,5,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,5,3,6,4,1,2,7]=>[1,4,6,3,5,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,4,1,5,6,3,2,7]=>[1,5,8,4,3,6,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,1,4,5,6,3,2,7]=>[1,8,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[4,5,3,7,2,1,8,6]=>[5,4,6,2,7,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[7,4,5,8,3,2,6,1]=>[2,5,4,1,6,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[4,3,6,7,2,8,5,1]=>[5,6,3,2,7,1,4,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,3,6,7,2,8,1,5]=>[5,6,3,2,7,1,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[1,4,3,6,7,2,8,5]=>[8,5,6,3,2,7,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[4,5,3,7,1,8,2,6]=>[5,4,6,2,8,1,7,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[4,1,5,3,7,2,8,6]=>[5,8,4,6,2,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,3,4,7,1,2,8,6]=>[4,6,5,2,8,7,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[7,5,8,2,1,4,6,3]=>[2,4,1,7,8,5,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,5,3,8,4,1,6,2]=>[2,4,6,1,5,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,4,5,8,3,6,1,2]=>[2,5,4,1,6,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,3,6,7,8,1,5,2]=>[5,6,3,2,1,8,4,7]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[1,6,4,7,8,3,5,2]=>[8,3,5,2,1,6,4,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[6,4,7,8,3,5,2,1]=>[3,5,2,1,6,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[3,5,6,7,8,4,1,2]=>[6,4,3,2,1,5,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[3,1,5,6,7,8,4,2]=>[6,8,4,3,2,1,5,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[4,6,1,7,8,3,5,2]=>[5,3,8,2,1,6,4,7]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[3,6,7,1,4,8,5,2]=>[6,3,2,8,5,1,4,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,2,4,1,7,8,5,3]=>[3,7,5,8,2,1,4,6]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[2,6,7,1,4,8,3,5]=>[7,3,2,8,5,1,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[4,3,6,7,8,1,2,5]=>[5,6,3,2,1,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[1,5,3,6,7,8,2,4]=>[8,4,6,3,2,1,7,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[3,5,6,7,8,2,1,4]=>[6,4,3,2,1,7,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[3,5,6,7,8,2,4,1]=>[6,4,3,2,1,7,5,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[5,2,7,1,3,8,4,6]=>[4,7,2,8,6,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[5,3,1,7,8,2,4,6]=>[4,6,8,2,1,7,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,5,2,7,8,1,3,6]=>[5,4,7,2,1,8,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[4,2,6,7,8,3,1,5]=>[5,7,3,2,1,6,8,4]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[4,2,6,7,8,3,5,1]=>[5,7,3,2,1,6,4,8]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[3,6,2,7,4,8,5,1]=>[6,3,7,2,5,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[3,6,2,7,4,8,1,5]=>[6,3,7,2,5,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,2,1,6,4,7,8,5]=>[6,7,8,3,5,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[3,7,4,2,1,5,8,6]=>[6,2,5,7,8,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[1,7,3,4,2,5,8,6]=>[8,2,6,5,7,4,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[4,7,2,1,3,5,8,6]=>[5,2,7,8,6,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[7,8,4,2,1,3,6,5]=>[2,1,5,7,8,6,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[7,8,1,3,4,2,6,5]=>[2,1,8,6,5,7,3,4]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,8,3,4,2,1,6,5]=>[2,1,6,5,7,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[6,3,2,7,1,8,5,4]=>[3,6,7,2,8,1,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[3,6,2,7,1,8,5,4]=>[6,3,7,2,8,1,4,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[6,7,3,8,2,5,4,1]=>[3,2,6,1,7,4,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[6,4,7,8,5,2,3,1]=>[3,5,2,1,4,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[2,6,4,7,8,1,5,3]=>[7,3,5,2,1,8,4,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[4,6,2,7,8,1,5,3]=>[5,3,7,2,1,8,4,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[7,4,5,8,6,2,1,3]=>[2,5,4,1,3,7,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[7,4,1,5,8,6,2,3]=>[2,5,8,4,1,3,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[7,5,3,8,6,1,2,4]=>[2,4,6,1,3,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,5,8,2,1,6,3,4]=>[2,4,1,7,8,3,6,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[6,2,7,1,3,8,5,4]=>[3,7,2,8,6,1,4,5]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[6,3,1,7,8,2,5,4]=>[3,6,8,2,1,7,4,5]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[4,6,1,7,8,5,2,3]=>[5,3,8,2,1,4,7,6]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,1,2,6,7,8,4,3]=>[4,8,7,3,2,1,5,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[5,2,6,7,8,4,1,3]=>[4,7,3,2,1,5,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[5,2,6,7,8,4,3,1]=>[4,7,3,2,1,5,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,5,6,7,8,4,1,3]=>[7,4,3,2,1,5,8,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[1,5,2,6,7,8,4,3]=>[8,4,7,3,2,1,5,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[1,6,4,7,8,5,2,3]=>[8,3,5,2,1,4,7,6]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[2,6,7,1,3,8,5,4]=>[7,3,2,8,6,1,4,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,7,8,2,1,5,4,3]=>[3,2,1,7,8,4,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,7,3,8,5,1,4,2]=>[3,2,6,1,4,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,4,7,8,5,3,1,2]=>[3,5,2,1,4,6,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,5,2,3,7,6,1,8]=>[5,4,7,6,2,3,8,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[6,4,3,7,2,5,1,8]=>[3,5,6,2,7,4,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,4,3,6,5,1,2,7]=>[1,5,6,3,4,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[1,5,6,3,4,8,7,2]=>[8,4,3,6,5,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,6,2,7,3,5,1,8]=>[5,3,7,2,6,4,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,2,6,7,4,5,1,8]=>[6,7,3,2,5,4,8,1]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,7,2,6,5,3,1,8]=>[5,2,7,3,4,6,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[5,7,6,2,4,3,1,8]=>[4,2,3,7,5,6,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[1,7,5,4,8,3,6,2]=>[8,2,4,5,1,6,3,7]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[8,7,5,4,1,3,2,6]=>[1,2,4,5,8,6,7,3]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[6,8,5,4,2,1,3,7]=>[3,1,4,5,7,8,6,2]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[5,8,6,2,4,1,3,7]=>[4,1,3,7,5,8,6,2]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[4,8,2,6,5,1,3,7]=>[5,1,7,3,4,8,6,2]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[3,2,8,6,5,1,4,7]=>[6,7,1,3,4,8,5,2]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[4,1,2,6,5,8,7,3]=>[5,8,7,3,4,1,2,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[5,1,6,2,4,8,7,3]=>[4,8,3,7,5,1,2,6]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[6,1,5,4,2,8,7,3]=>[3,8,4,5,7,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,1,5,4,8,2,6,3]=>[2,8,4,5,1,7,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[8,1,5,4,7,6,2,3]=>[1,8,4,5,2,3,7,6]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[1,8,6,7,4,5,3,2]=>[8,1,3,2,5,4,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[8,1,6,7,4,5,2,3]=>[1,8,3,2,5,4,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[7,1,6,8,4,2,5,3]=>[2,8,3,1,5,7,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[6,1,7,8,2,4,5,3]=>[3,8,2,1,7,5,4,6]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[5,1,7,2,8,4,6,3]=>[4,8,2,7,1,5,3,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,1,2,7,8,5,6,3]=>[5,8,7,2,1,4,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[3,2,1,7,8,5,6,4]=>[6,7,8,2,1,4,3,5]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[3,2,8,7,1,5,4,6]=>[6,7,1,2,8,4,5,3]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[4,8,2,7,1,5,3,6]=>[5,1,7,2,8,4,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,8,7,2,1,4,3,6]=>[4,1,2,7,8,5,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[6,8,7,1,2,4,3,5]=>[3,1,2,8,7,5,6,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[7,8,6,1,4,2,3,5]=>[2,1,3,8,5,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,7,6,1,4,3,2,5]=>[1,2,3,8,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[1,7,6,8,4,3,5,2]=>[8,2,3,1,5,6,4,7]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[1,6,7,8,3,4,5,2]=>[8,3,2,1,6,5,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[8,6,7,1,3,4,2,5]=>[1,3,2,8,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,6,8,1,3,2,4,5]=>[2,3,1,8,6,7,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[5,7,8,2,1,3,4,6]=>[4,2,1,7,8,6,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[4,7,2,8,1,3,5,6]=>[5,2,7,1,8,6,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[3,2,6,8,4,1,5,7]=>[6,7,3,1,5,8,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,6,2,8,3,1,5,7]=>[5,3,7,1,6,8,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[5,6,8,2,3,1,4,7]=>[4,3,1,7,6,8,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[6,5,8,3,2,1,4,7]=>[3,4,1,6,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[7,5,8,3,1,2,4,6]=>[2,4,1,6,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,5,7,3,1,4,2,6]=>[1,4,2,6,8,5,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[1,5,7,3,8,4,6,2]=>[8,4,2,6,1,5,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[1,4,3,7,8,5,6,2]=>[8,5,6,2,1,4,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[8,4,3,7,1,5,2,6]=>[1,5,6,2,8,4,7,3]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,4,3,8,2,1,5,7]=>[3,5,6,1,7,8,4,2]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[4,5,2,3,8,1,6,7]=>[5,4,7,6,1,8,3,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[3,2,5,4,8,1,6,7]=>[6,7,4,5,1,8,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[4,5,2,3,1,8,7,6]=>[5,4,7,6,8,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[6,4,3,1,2,8,7,5]=>[3,5,6,8,7,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,4,3,1,8,2,6,5]=>[2,5,6,8,1,7,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,4,3,1,7,6,2,5]=>[1,5,6,8,2,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,5,8,3,7,6,4,2]=>[8,4,1,6,2,3,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[8,5,1,3,7,6,2,4]=>[1,4,8,6,2,3,7,5]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[7,5,1,3,8,2,6,4]=>[2,4,8,6,1,7,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[6,5,1,3,2,8,7,4]=>[3,4,8,6,7,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[5,6,1,2,3,8,7,4]=>[4,3,8,7,6,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,6,2,1,3,8,7,5]=>[5,3,7,8,6,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[3,2,6,1,4,8,7,5]=>[6,7,3,8,5,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[3,2,7,1,8,4,6,5]=>[6,7,2,8,1,5,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[4,7,2,1,8,3,6,5]=>[5,2,7,8,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[5,7,1,2,8,3,6,4]=>[4,2,8,7,1,6,3,5]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,7,1,8,2,3,5,4]=>[3,2,8,1,7,6,4,5]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[7,6,1,8,3,2,5,4]=>[2,3,8,1,6,7,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,6,1,7,3,5,2,4]=>[1,3,8,2,6,4,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[1,6,8,7,3,5,4,2]=>[8,3,1,2,6,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[1,7,8,6,5,3,4,2]=>[8,2,1,3,4,6,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[8,7,1,6,5,3,2,4]=>[1,2,8,3,4,6,7,5]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[7,8,1,6,5,2,3,4]=>[2,1,8,3,4,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[6,8,1,7,2,5,3,4]=>[3,1,8,2,7,4,6,5]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,8,1,2,7,6,3,4]=>[4,1,8,7,2,3,6,5]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,8,2,1,7,6,3,5]=>[5,1,7,8,2,3,6,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[3,2,8,1,7,6,4,5]=>[6,7,1,8,2,3,5,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[4,1,2,8,7,6,5,3]=>[5,8,7,1,2,3,4,6]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[5,1,8,2,7,6,4,3]=>[4,8,1,7,2,3,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[6,1,8,7,2,5,4,3]=>[3,8,1,2,7,4,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[7,1,8,6,5,2,4,3]=>[2,8,1,3,4,7,5,6]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[8,1,7,6,5,4,2,3]=>[1,8,2,3,4,5,7,6]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[3,1,2,6,5,8,7,4]=>[6,8,7,3,4,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[3,1,6,2,4,8,7,5]=>[6,8,3,7,5,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[3,1,5,2,4,8,7,6]=>[6,8,4,7,5,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[4,5,1,2,3,8,7,6]=>[5,4,8,7,6,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,6,1,2,3,8,7,5]=>[5,3,8,7,6,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[1,6,5,3,4,8,7,2]=>[8,3,4,6,5,1,2,7]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[6,1,5,2,4,8,7,3]=>[3,8,4,7,5,1,2,6]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,5,1,2,3,8,7,4]=>[3,4,8,7,6,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[6,4,1,2,3,8,7,5]=>[3,5,8,7,6,1,2,4]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[5,4,1,2,3,8,7,6]=>[4,5,8,7,6,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[5,4,1,2,7,3,6,8]=>[4,5,8,7,2,6,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[6,4,1,7,2,3,5,8]=>[3,5,8,2,7,6,4,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[6,4,1,8,2,3,5,7]=>[3,5,8,1,7,6,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,4,1,2,8,3,6,5]=>[2,5,8,7,1,6,3,4]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,5,1,2,8,3,6,4]=>[2,4,8,7,1,6,3,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,1,5,2,8,4,6,3]=>[2,8,4,7,1,5,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,7,5,3,8,4,6,2]=>[8,2,4,6,1,5,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[1,8,5,3,7,4,6,2]=>[8,1,4,6,2,5,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[8,1,5,2,7,4,6,3]=>[1,8,4,7,2,5,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,5,1,2,7,3,6,4]=>[1,4,8,7,2,6,3,5]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[8,4,1,2,7,3,6,5]=>[1,5,8,7,2,6,3,4]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[8,4,1,7,2,3,5,6]=>[1,5,8,2,7,6,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,4,1,6,2,3,5,8]=>[2,5,8,3,7,6,4,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,6,1,7,2,3,5,4]=>[1,3,8,2,7,6,4,5]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,1,6,7,2,4,5,3]=>[1,8,3,2,7,5,4,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,8,6,7,3,4,5,2]=>[8,1,3,2,6,5,4,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[1,7,6,8,3,4,5,2]=>[8,2,3,1,6,5,4,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,1,6,8,2,4,5,3]=>[2,8,3,1,7,5,4,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[7,6,1,8,2,3,5,4]=>[2,3,8,1,7,6,4,5]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[4,7,1,2,8,3,6,5]=>[5,2,8,7,1,6,3,4]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,1,7,2,8,4,6,5]=>[6,8,2,7,1,5,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,1,2,7,8,5,6,4]=>[6,8,7,2,1,4,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[1,4,3,8,7,5,6,2]=>[8,5,6,1,2,4,3,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[4,1,2,8,7,5,6,3]=>[5,8,7,1,2,4,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[3,1,2,8,7,5,6,4]=>[6,8,7,1,2,4,3,5]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[3,1,8,2,7,4,6,5]=>[6,8,1,7,2,5,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[3,1,8,7,2,4,5,6]=>[6,8,1,2,7,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[3,1,7,6,2,4,5,8]=>[6,8,2,3,7,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[4,7,1,6,2,3,5,8]=>[5,2,8,3,7,6,4,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,8,1,6,2,3,5,7]=>[5,1,8,3,7,6,4,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,8,1,7,2,3,5,6]=>[5,1,8,2,7,6,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,8,1,2,7,3,6,5]=>[5,1,8,7,2,6,3,4]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[5,8,1,2,7,3,6,4]=>[4,1,8,7,2,6,3,5]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[5,1,8,2,7,4,6,3]=>[4,8,1,7,2,5,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[1,5,8,3,7,4,6,2]=>[8,4,1,6,2,5,3,7]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,6,8,7,3,4,5,2]=>[8,3,1,2,6,5,4,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[6,1,8,7,2,4,5,3]=>[3,8,1,2,7,5,4,6]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[6,8,1,7,2,3,5,4]=>[3,1,8,2,7,6,4,5]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,8,7,1,2,3,4,5]=>[3,1,2,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[5,8,7,1,2,3,4,6]=>[4,1,2,8,7,6,5,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[5,8,6,1,2,3,4,7]=>[4,1,3,8,7,6,5,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[5,7,6,1,2,3,4,8]=>[4,2,3,8,7,6,5,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[7,8,1,6,2,3,5,4]=>[2,1,8,3,7,6,4,5]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[7,1,8,6,2,4,5,3]=>[2,8,1,3,7,5,4,6]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[1,7,8,6,3,4,5,2]=>[8,2,1,3,6,5,4,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[1,8,7,6,3,4,5,2]=>[8,1,2,3,6,5,4,7]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[8,1,7,6,2,4,5,3]=>[1,8,2,3,7,5,4,6]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[8,7,1,6,2,3,5,4]=>[1,2,8,3,7,6,4,5]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[3,2,5,1,6,4,8,7]=>[6,7,4,8,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[3,2,5,4,7,1,8,6]=>[6,7,4,5,2,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,2,5,3,7,6,8,1]=>[5,7,4,6,2,3,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,2,5,3,7,1,8,6]=>[5,7,4,6,2,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,2,5,3,6,1,8,7]=>[5,7,4,6,3,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,2,5,1,6,3,8,7]=>[5,7,4,8,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[3,1,5,4,6,2,8,7]=>[6,8,4,5,3,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,1,5,3,6,2,8,7]=>[5,8,4,6,3,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,3,5,1,6,2,8,7]=>[5,6,4,8,3,7,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,3,5,2,7,1,8,6]=>[5,6,4,7,2,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[4,3,6,2,7,5,8,1]=>[5,6,3,7,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,3,6,2,7,1,8,5]=>[5,6,3,7,2,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[4,3,6,1,7,2,8,5]=>[5,6,3,8,2,7,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,3,5,1,7,2,8,6]=>[5,6,4,8,2,7,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[3,1,5,4,7,2,8,6]=>[6,8,4,5,2,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[2,1,5,4,7,3,8,6]=>[7,8,4,5,2,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,5,4,7,6,8,2]=>[6,8,4,5,2,3,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,1,5,3,7,6,8,2]=>[5,8,4,6,2,3,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,3,5,1,7,6,8,2]=>[5,6,4,8,2,3,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,3,6,1,7,5,8,2]=>[5,6,3,8,2,4,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,3,6,5,7,1,8,2]=>[5,6,3,4,2,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[5,3,6,4,7,2,8,1]=>[4,6,3,5,2,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,3,6,4,7,1,8,2]=>[4,6,3,5,2,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[5,3,6,1,7,4,8,2]=>[4,6,3,8,2,5,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[5,1,6,3,7,4,8,2]=>[4,8,3,6,2,5,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,1,6,3,7,5,8,2]=>[5,8,3,6,2,4,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,1,6,4,7,5,8,2]=>[6,8,3,5,2,4,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,1,6,4,7,5,8,3]=>[7,8,3,5,2,4,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,1,6,4,7,3,8,5]=>[7,8,3,5,2,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,6,4,7,2,8,5]=>[6,8,3,5,2,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,1,6,3,7,2,8,5]=>[5,8,3,6,2,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,1,6,3,7,2,8,4]=>[4,8,3,6,2,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,3,6,1,7,2,8,4]=>[4,6,3,8,2,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,3,6,2,7,1,8,4]=>[4,6,3,7,2,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,3,6,2,7,4,8,1]=>[4,6,3,7,2,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[5,2,6,3,7,4,8,1]=>[4,7,3,6,2,5,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[5,2,6,3,7,1,8,4]=>[4,7,3,6,2,8,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,2,6,1,7,3,8,4]=>[4,7,3,8,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,2,5,1,7,3,8,6]=>[5,7,4,8,2,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,2,6,1,7,3,8,5]=>[5,7,3,8,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,2,6,3,7,1,8,5]=>[5,7,3,6,2,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,2,6,3,7,5,8,1]=>[5,7,3,6,2,4,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,2,6,4,7,5,8,1]=>[6,7,3,5,2,4,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,2,6,4,7,1,8,5]=>[6,7,3,5,2,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,2,6,1,7,4,8,5]=>[6,7,3,8,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[3,2,5,1,7,4,8,6]=>[6,7,4,8,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[3,2,4,1,7,5,8,6]=>[6,7,5,8,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[3,1,4,2,7,6,8,5]=>[6,8,5,7,2,3,1,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,2,5,1,7,6,8,4]=>[6,7,4,8,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[3,2,6,1,7,5,8,4]=>[6,7,3,8,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[3,2,6,5,7,1,8,4]=>[6,7,3,4,2,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[4,2,6,5,7,3,8,1]=>[5,7,3,4,2,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,2,6,5,7,1,8,3]=>[5,7,3,4,2,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[4,2,6,1,7,5,8,3]=>[5,7,3,8,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,2,5,1,7,6,8,3]=>[5,7,4,8,2,3,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,1,5,2,7,6,8,3]=>[5,8,4,7,2,3,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,1,5,2,7,6,8,4]=>[6,8,4,7,2,3,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,1,5,3,7,6,8,4]=>[7,8,4,6,2,3,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,1,6,3,7,5,8,4]=>[7,8,3,6,2,4,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,1,6,2,7,5,8,4]=>[6,8,3,7,2,4,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,1,6,2,7,5,8,3]=>[5,8,3,7,2,4,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[5,1,6,2,7,4,8,3]=>[4,8,3,7,2,5,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[5,2,6,1,7,4,8,3]=>[4,7,3,8,2,5,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[5,2,6,4,7,1,8,3]=>[4,7,3,5,2,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[5,2,6,4,7,3,8,1]=>[4,7,3,5,2,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,4,6,2,7,3,8,1]=>[4,5,3,7,2,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[5,4,6,2,7,1,8,3]=>[4,5,3,7,2,8,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,4,6,1,7,2,8,3]=>[4,5,3,8,2,7,1,6]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,1,6,4,7,2,8,3]=>[4,8,3,5,2,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,1,6,5,7,2,8,3]=>[5,8,3,4,2,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,6,5,7,2,8,4]=>[6,8,3,4,2,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[2,1,6,5,7,3,8,4]=>[7,8,3,4,2,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,6,5,7,4,8,2]=>[6,8,3,4,2,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,1,6,5,7,3,8,2]=>[5,8,3,4,2,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,1,6,4,7,3,8,2]=>[4,8,3,5,2,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,4,6,1,7,3,8,2]=>[4,5,3,8,2,6,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[5,4,6,3,7,1,8,2]=>[4,5,3,6,2,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,3,5,2,1,6,4,7]=>[1,6,4,7,8,3,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[8,6,3,5,2,4,1,7]=>[1,3,6,4,7,5,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[3,7,5,2,4,1,8,6]=>[6,2,4,7,5,8,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[8,3,7,5,2,4,6,1]=>[1,6,2,4,7,5,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[8,2,4,5,7,3,6,1]=>[1,7,5,4,2,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[2,4,5,7,3,1,8,6]=>[7,5,4,2,6,8,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[8,2,4,6,5,3,1,7]=>[1,7,5,3,4,6,8,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[8,2,5,4,6,1,3,7]=>[1,7,4,5,3,8,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,6,3,5,1,4,2,7]=>[1,3,6,4,8,5,7,2]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,6,1,4,5,3,2,7]=>[1,3,8,5,4,6,7,2]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[8,1,5,6,4,3,2,7]=>[1,8,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[5,7,4,3,2,1,8,6]=>[4,2,5,6,7,8,1,3]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[8,5,7,4,3,2,6,1]=>[1,4,2,5,6,7,3,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[4,6,8,3,2,7,5,1]=>[5,3,1,6,7,2,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[4,7,6,3,2,8,1,5]=>[5,2,3,6,7,1,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[1,4,6,7,3,2,8,5]=>[8,5,3,2,6,7,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[5,4,7,3,1,8,2,6]=>[4,5,2,6,8,1,7,3]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[1,7,4,5,3,2,8,6]=>[8,2,5,4,6,7,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[3,7,5,1,4,2,8,6]=>[6,2,4,8,5,7,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[5,7,4,2,1,3,8,6]=>[4,2,5,7,8,6,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[8,5,7,4,2,1,6,3]=>[1,4,2,5,7,8,3,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[8,3,7,5,1,4,6,2]=>[1,6,2,4,8,5,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[8,4,1,7,5,3,6,2]=>[1,5,8,2,4,6,3,7]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[4,6,3,8,7,1,5,2]=>[5,3,6,1,2,8,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[1,7,4,8,6,3,5,2]=>[8,2,5,1,3,6,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[8,4,7,6,3,5,2,1]=>[1,5,2,3,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[3,6,5,8,7,4,1,2]=>[6,3,4,1,2,5,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[3,1,5,8,6,7,4,2]=>[6,8,4,1,3,2,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[4,8,1,6,7,3,5,2]=>[5,1,8,3,2,6,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[3,6,4,1,8,7,5,2]=>[6,3,5,8,1,2,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[8,2,6,1,4,7,5,3]=>[1,7,3,8,5,2,4,6]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[2,7,6,8,1,4,3,5]=>[7,2,3,1,8,5,6,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[3,7,1,6,4,8,2,5]=>[6,2,8,3,5,1,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[1,7,3,5,6,8,2,4]=>[8,2,6,4,3,1,7,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[1,3,6,7,5,8,2,4]=>[8,6,3,2,4,1,7,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,7,6,5,8,2,1,4]=>[6,2,3,4,1,7,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[3,6,8,5,7,2,4,1]=>[6,3,1,4,2,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[2,3,5,7,6,8,1,4]=>[7,6,4,2,3,1,8,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[2,1,6,5,7,8,3,4]=>[7,8,3,4,2,1,6,5]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,2,7,6,8,3,1,5]=>[5,7,2,3,1,6,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[4,2,6,8,7,3,5,1]=>[5,7,3,1,2,6,4,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[3,8,2,4,6,7,5,1]=>[6,1,7,5,3,2,4,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[3,7,2,6,4,8,1,5]=>[6,2,7,3,5,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[3,2,6,1,4,7,8,5]=>[6,7,3,8,5,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[5,3,7,2,1,8,4,6]=>[4,6,2,7,8,1,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[4,7,3,2,1,5,8,6]=>[5,2,6,7,8,4,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[8,7,6,1,3,4,2,5]=>[1,2,3,8,6,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[8,5,7,3,2,1,6,4]=>[1,4,2,6,7,8,3,5]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[8,3,6,7,2,1,5,4]=>[1,6,3,2,7,8,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[3,7,8,6,2,1,5,4]=>[6,2,1,3,7,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[8,7,6,3,5,2,4,1]=>[1,2,3,6,4,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[2,7,4,8,1,6,5,3]=>[7,2,5,1,8,3,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,6,8,2,1,7,5,3]=>[5,3,1,7,8,2,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[8,4,1,5,7,2,6,3]=>[1,5,8,4,2,7,3,6]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[8,5,3,7,1,6,2,4]=>[1,4,6,2,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[8,5,7,2,1,3,6,4]=>[1,4,2,7,8,6,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[8,2,6,7,1,3,5,4]=>[1,7,3,2,8,6,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[8,3,6,1,7,5,2,4]=>[1,6,3,8,2,4,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[4,6,1,8,7,2,5,3]=>[5,3,8,1,2,7,4,6]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[8,1,2,5,6,7,4,3]=>[1,8,7,4,3,2,5,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[8,2,6,5,7,4,1,3]=>[1,7,3,4,2,5,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[2,1,7,8,5,6,4,3]=>[7,8,2,1,4,3,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[8,2,5,7,6,4,3,1]=>[1,7,4,2,3,5,6,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[2,7,6,8,5,4,1,3]=>[7,2,3,1,4,5,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[1,7,2,5,8,6,4,3]=>[8,2,7,4,1,3,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,7,4,8,2,6,5,3]=>[8,2,5,1,7,3,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,7,8,1,6,5,2,4]=>[6,2,1,8,3,4,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[2,7,8,6,1,3,5,4]=>[7,2,1,3,8,6,4,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[8,7,6,3,5,1,4,2]=>[1,2,3,6,4,8,5,7]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[8,4,7,6,5,1,3,2]=>[1,5,2,3,4,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[8,7,1,5,6,4,3,2]=>[1,2,8,4,3,5,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[8,1,6,7,5,4,3,2]=>[1,8,3,2,4,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[6,5,3,1,2,4,8,7]=>[3,4,6,8,7,5,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[4,6,3,5,1,2,8,7]=>[5,3,6,4,8,7,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[8,5,3,7,2,1,4,6]=>[1,4,6,2,7,8,5,3]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,8,1,4,5,7,3,2]=>[3,1,8,5,4,2,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[8,7,2,4,5,1,3,6]=>[1,2,7,5,4,8,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[3,6,2,4,5,1,8,7]=>[6,3,7,5,4,8,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,6,1,4,5,3,8,7]=>[7,3,8,5,4,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[6,1,2,4,5,3,8,7]=>[3,8,7,5,4,6,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[5,6,3,2,1,4,8,7]=>[4,3,6,7,8,5,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[5,4,3,6,1,2,8,7]=>[4,5,6,3,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[6,3,1,4,5,2,8,7]=>[3,6,8,5,4,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[3,1,6,4,5,2,8,7]=>[6,8,3,5,4,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[8,3,7,4,5,1,2,6]=>[1,6,2,5,4,8,7,3]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,8,7,4,2,6,3,1]=>[4,1,2,5,7,3,6,8]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[2,8,7,4,1,6,3,5]=>[7,1,2,5,8,3,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[8,1,7,4,2,6,3,5]=>[1,8,2,5,7,3,6,4]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[3,7,8,4,5,1,2,6]=>[6,2,1,5,4,8,7,3]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[2,1,8,7,5,3,4,6]=>[7,8,1,2,4,6,5,3]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[2,1,6,8,5,7,3,4]=>[7,8,3,1,4,2,6,5]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[5,6,3,8,1,7,2,4]=>[4,3,6,1,8,2,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[7,6,1,4,5,8,3,2]=>[2,3,8,5,4,1,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[3,7,6,4,5,8,2,1]=>[6,2,3,5,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[8,5,7,4,1,6,3,2]=>[1,4,2,5,8,3,6,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[5,1,8,4,7,6,2,3]=>[4,8,1,5,2,3,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[2,5,8,4,7,6,1,3]=>[7,4,1,5,2,3,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,4,8,3,5,6,7,1]=>[7,5,1,6,4,3,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[4,1,8,3,5,6,7,2]=>[5,8,1,6,4,3,2,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[3,8,4,2,5,6,7,1]=>[6,1,5,7,4,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[8,4,1,3,5,6,7,2]=>[1,5,8,6,4,3,2,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,5,8,4,3,6,1,2]=>[2,4,1,5,6,3,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[6,5,3,8,4,1,7,2]=>[3,4,6,1,5,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,1,5,8,4,6,7,3]=>[7,8,4,1,5,3,2,6]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[2,1,4,8,3,6,7,5]=>[7,8,5,1,6,3,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[6,4,3,8,2,1,7,5]=>[3,5,6,1,7,8,2,4]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[7,3,8,4,2,6,1,5]=>[2,6,1,5,7,3,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[8,3,1,2,5,6,7,4]=>[1,6,8,7,4,3,2,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[3,1,8,2,5,6,7,4]=>[6,8,1,7,4,3,2,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,3,8,1,5,6,7,4]=>[7,6,1,8,4,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[4,3,8,2,5,6,7,1]=>[5,6,1,7,4,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[4,8,2,3,5,6,7,1]=>[5,1,7,6,4,3,2,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[3,8,2,1,5,6,7,4]=>[6,1,7,8,4,3,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[2,8,1,3,5,6,7,4]=>[7,1,8,6,4,3,2,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[8,1,2,3,5,6,7,4]=>[1,8,7,6,4,3,2,5]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[7,8,2,4,3,6,1,5]=>[2,1,7,5,6,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,3,2,4,1,7,5]=>[3,1,6,7,5,8,2,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,1,8,3,4,6,7,5]=>[7,8,1,6,5,3,2,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,1,7,8,5,4,3,6]=>[7,8,2,1,4,5,6,3]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[5,7,3,8,1,4,2,6]=>[4,2,6,1,8,5,7,3]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[7,1,8,4,5,3,2,6]=>[2,8,1,5,4,6,7,3]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[2,7,8,4,5,3,1,6]=>[7,2,1,5,4,6,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[8,7,1,4,3,6,2,5]=>[1,2,8,5,6,3,7,4]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[3,8,7,4,2,6,1,5]=>[6,1,2,5,7,3,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[5,7,8,4,3,6,2,1]=>[4,2,1,5,6,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[5,6,3,8,4,2,7,1]=>[4,3,6,1,5,7,2,8]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[4,8,3,6,2,1,7,5]=>[5,1,6,3,7,8,2,4]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,6,3,1,4,2,7,5]=>[1,3,6,8,5,7,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,5,3,8,2,4,1,6]=>[2,4,6,1,7,5,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[2,4,3,1,8,5,7,6]=>[7,5,6,8,1,4,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[4,1,3,2,6,8,7,5]=>[5,8,6,7,3,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,5,3,6,2,8,1,4]=>[2,4,6,3,7,1,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,6,3,5,1,2,7,4]=>[1,3,6,4,8,7,2,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[5,8,3,2,6,1,7,4]=>[4,1,6,7,3,8,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[4,5,3,8,6,2,7,1]=>[5,4,6,1,3,7,2,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[3,5,8,4,7,6,2,1]=>[6,4,1,5,2,3,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,8,2,4,7,6,1,3]=>[4,1,7,5,2,3,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[8,7,5,4,1,6,2,3]=>[1,2,4,5,8,3,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[2,7,6,4,5,8,1,3]=>[7,2,3,5,4,1,8,6]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[7,1,6,4,5,8,2,3]=>[2,8,3,5,4,1,7,6]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[5,7,3,6,1,8,2,4]=>[4,2,6,3,8,1,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[2,1,7,6,5,8,3,4]=>[7,8,2,3,4,1,6,5]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[2,1,8,5,3,6,7,4]=>[7,8,1,4,6,3,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[6,8,3,5,2,1,7,4]=>[3,1,6,4,7,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,8,5,4,2,6,1,3]=>[2,1,4,5,7,3,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[8,1,4,2,5,6,7,3]=>[1,8,5,7,4,3,2,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[2,8,4,1,5,6,7,3]=>[7,1,5,8,4,3,2,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[4,8,1,2,5,6,7,3]=>[5,1,8,7,4,3,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[3,4,8,1,5,6,7,2]=>[6,5,1,8,4,3,2,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[3,4,2,8,5,6,7,1]=>[6,5,7,1,4,3,2,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[2,4,1,8,5,6,7,3]=>[7,5,8,1,4,3,2,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[4,1,2,8,5,6,7,3]=>[5,8,7,1,4,3,2,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[8,4,2,1,5,6,7,3]=>[1,5,7,8,4,3,2,6]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,5,2,4,8,6,1,3]=>[2,4,7,5,1,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[6,5,3,2,8,1,7,4]=>[3,4,6,7,1,8,2,5]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[2,1,5,3,8,6,7,4]=>[7,8,4,6,1,3,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[6,4,3,5,8,1,7,2]=>[3,5,6,4,1,8,2,7]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,3,5,4,8,6,1,2]=>[2,6,4,5,1,3,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[8,3,4,1,5,6,7,2]=>[1,6,5,8,4,3,2,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[4,3,1,8,5,6,7,2]=>[5,6,8,1,4,3,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[3,1,4,8,5,6,7,2]=>[6,8,5,1,4,3,2,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[6,5,3,7,2,8,4,1]=>[3,4,6,2,7,1,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,3,7,4,5,8,2,1]=>[3,6,2,5,4,1,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[6,7,2,4,5,8,3,1]=>[3,2,7,5,4,1,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,1,7,4,8,6,3,2]=>[4,8,2,5,1,3,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[2,5,7,4,8,6,3,1]=>[7,4,2,5,1,3,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,6,3,7,1,8,4,2]=>[4,3,6,2,8,1,5,7]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[3,8,7,4,5,2,1,6]=>[6,1,2,5,4,7,8,3]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[3,7,5,4,8,6,2,1]=>[6,2,4,5,1,3,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[5,7,1,4,8,6,2,3]=>[4,2,8,5,1,3,7,6]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[5,6,3,1,8,2,7,4]=>[4,3,6,8,1,7,2,5]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[4,6,3,5,8,2,7,1]=>[5,3,6,4,1,7,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[4,6,3,8,1,2,7,5]=>[5,3,6,1,8,7,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[3,7,8,4,1,6,2,5]=>[6,2,1,5,8,3,7,4]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[3,2,5,1,6,8,4,7]=>[6,7,4,8,3,1,5,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[3,6,2,5,4,8,1,7]=>[6,3,7,4,5,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[3,5,2,4,7,1,8,6]=>[6,4,7,5,2,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[3,5,8,2,4,7,6,1]=>[6,4,1,7,5,2,3,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[4,2,5,8,3,7,6,1]=>[5,7,4,1,6,2,3,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[4,2,6,5,3,8,1,7]=>[5,7,3,4,6,1,8,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[5,4,2,1,6,8,3,7]=>[4,5,7,8,3,1,6,2]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[6,3,5,1,4,8,2,7]=>[3,6,4,8,5,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[4,6,1,5,3,8,2,7]=>[5,3,8,4,6,1,7,2]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[5,1,6,4,3,8,2,7]=>[4,8,3,5,6,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[5,4,3,2,7,1,8,6]=>[4,5,6,7,2,8,1,3]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[5,4,3,8,2,7,6,1]=>[4,5,6,1,7,2,3,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[4,3,6,2,8,7,5,1]=>[5,6,3,7,1,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[4,3,7,6,2,1,8,5]=>[5,6,2,3,7,8,1,4]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[6,4,3,1,7,2,8,5]=>[3,5,6,8,2,7,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,5,4,3,1,8,2,6]=>[2,4,5,6,8,1,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,4,7,5,8,3,2,6]=>[8,5,2,4,1,6,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[7,2,5,8,4,1,3,6]=>[2,7,4,1,5,8,6,3]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[2,8,5,7,4,6,1,3]=>[7,1,4,2,5,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,5,8,7,1,4,6,2]=>[6,4,1,2,8,5,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[1,4,5,8,7,3,6,2]=>[8,5,4,1,2,6,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[1,5,4,8,7,3,6,2]=>[8,4,5,1,2,6,3,7]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,4,3,8,1,7,5,2]=>[3,5,6,1,8,2,4,7]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[4,3,7,1,8,6,5,2]=>[5,6,2,8,1,3,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[4,8,3,7,6,5,2,1]=>[5,1,6,2,3,4,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[5,3,8,7,6,4,2,1]=>[4,6,1,2,3,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[1,8,6,5,3,7,4,2]=>[8,1,3,4,6,2,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[1,5,8,6,3,7,4,2]=>[8,4,1,3,6,2,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[4,6,1,8,7,3,5,2]=>[5,3,8,1,2,6,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[6,8,7,3,1,4,5,2]=>[3,1,2,6,8,5,4,7]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[6,2,8,7,4,5,1,3]=>[3,7,1,2,5,4,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[7,6,2,8,4,1,3,5]=>[2,3,7,1,5,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,3,1,6,8,4,2,5]=>[2,6,8,3,1,5,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[5,7,1,6,3,2,8,4]=>[4,2,8,3,6,7,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[6,1,7,5,3,2,8,4]=>[3,8,2,4,6,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[7,6,5,3,2,1,8,4]=>[2,3,4,6,7,8,1,5]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[6,5,3,2,8,7,4,1]=>[3,4,6,7,1,2,5,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,2,6,3,8,7,4,1]=>[4,7,3,6,1,2,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[5,2,7,6,3,1,8,4]=>[4,7,2,3,6,8,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[6,5,2,1,7,3,8,4]=>[3,4,7,8,2,6,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[4,7,2,6,3,1,8,5]=>[5,2,7,3,6,8,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[2,4,8,6,3,7,5,1]=>[7,5,1,3,6,2,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[3,8,6,2,4,7,5,1]=>[6,1,3,7,5,2,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[7,3,6,2,4,1,8,5]=>[2,6,3,7,5,8,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[3,6,7,2,1,4,8,5]=>[6,3,2,7,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[4,3,7,8,2,1,5,6]=>[5,6,2,1,7,8,4,3]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[8,3,7,1,4,6,2,5]=>[1,6,2,8,5,3,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[3,8,2,5,7,1,6,4]=>[6,1,7,4,2,8,3,5]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,8,3,6,2,1,5,4]=>[2,1,6,3,7,8,4,5]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[8,7,3,6,2,5,4,1]=>[1,2,6,3,7,4,5,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[4,7,8,2,1,6,5,3]=>[5,2,1,7,8,3,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[4,2,6,8,1,7,5,3]=>[5,7,3,1,8,2,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[5,4,8,2,7,1,6,3]=>[4,5,1,7,2,8,3,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[4,8,1,5,7,2,6,3]=>[5,1,8,4,2,7,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[5,8,3,7,1,6,2,4]=>[4,1,6,2,8,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,8,7,2,6,1,3,4]=>[4,1,2,7,3,8,6,5]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,6,2,7,5,1,3,4]=>[1,3,7,2,4,8,6,5]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[3,6,8,1,7,5,2,4]=>[6,3,1,8,2,4,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[5,1,6,8,2,7,4,3]=>[4,8,3,1,7,2,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[5,2,7,1,8,6,4,3]=>[4,7,2,8,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,8,2,7,6,4,3,1]=>[4,1,7,2,3,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[6,2,8,7,5,4,3,1]=>[3,7,1,2,4,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[7,6,2,1,8,5,4,3]=>[2,3,7,8,1,4,5,6]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[6,1,7,2,8,5,4,3]=>[3,8,2,7,1,4,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[7,5,1,8,2,6,4,3]=>[2,4,8,1,7,3,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[4,7,1,8,6,2,5,3]=>[5,2,8,1,3,7,4,6]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[7,8,3,1,6,5,2,4]=>[2,1,6,8,3,4,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[8,7,4,6,1,5,3,2]=>[1,2,5,3,8,4,6,7]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[8,5,7,1,6,4,3,2]=>[1,4,2,8,3,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[6,8,1,7,5,4,3,2]=>[3,1,8,2,4,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[7,1,8,6,5,4,3,2]=>[2,8,1,3,4,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[5,4,2,3,7,6,1,8]=>[4,5,7,6,2,3,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[6,4,2,7,3,5,1,8]=>[3,5,7,2,6,4,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[7,4,2,6,3,5,1,8]=>[2,5,7,3,6,4,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,4,2,6,3,1,5,7]=>[1,5,7,3,6,8,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,2,7,6,4,5,1,8]=>[6,7,2,3,5,4,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[4,7,2,6,3,5,1,8]=>[5,2,7,3,6,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,7,6,2,3,4,1,8]=>[4,2,3,7,6,5,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[1,6,5,2,3,8,4,7]=>[8,3,4,7,6,1,5,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,7,5,2,8,3,4,6]=>[8,2,4,7,1,6,5,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[6,8,5,2,3,1,4,7]=>[3,1,4,7,6,8,5,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[5,8,6,2,3,1,4,7]=>[4,1,3,7,6,8,5,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[4,8,2,6,3,1,5,7]=>[5,1,7,3,6,8,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[3,2,8,6,4,1,5,7]=>[6,7,1,3,5,8,4,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[3,2,1,6,4,8,5,7]=>[6,7,8,3,5,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[7,1,5,2,8,3,4,6]=>[2,8,4,7,1,6,5,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[1,8,5,2,7,3,4,6]=>[8,1,4,7,2,6,5,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,8,6,7,2,3,4,5]=>[8,1,3,2,7,6,5,4]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,1,6,7,2,3,4,5]=>[1,8,3,2,7,6,5,4]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[7,1,6,8,2,3,4,5]=>[2,8,3,1,7,6,5,4]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,2,1,7,8,4,5,6]=>[6,7,8,2,1,5,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[3,2,8,7,1,4,5,6]=>[6,7,1,2,8,5,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[5,8,7,2,1,3,4,6]=>[4,1,2,7,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[1,7,6,8,2,3,4,5]=>[8,2,3,1,7,6,5,4]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[6,5,8,2,3,1,4,7]=>[3,4,1,7,6,8,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,5,7,2,1,3,4,6]=>[1,4,2,7,8,6,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[6,4,2,8,3,1,5,7]=>[3,5,7,1,6,8,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[5,4,2,3,8,1,6,7]=>[4,5,7,6,1,8,3,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[3,2,5,4,1,8,6,7]=>[6,7,4,5,8,1,3,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[4,5,2,3,1,8,6,7]=>[5,4,7,6,8,1,3,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[5,4,2,3,1,8,6,7]=>[4,5,7,6,8,1,3,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,4,2,1,3,8,5,7]=>[3,5,7,8,6,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,4,2,1,8,3,5,6]=>[2,5,7,8,1,6,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,4,2,1,7,3,5,6]=>[1,5,7,8,2,6,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,4,2,8,7,3,5,6]=>[8,5,7,1,2,6,4,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,5,8,2,7,3,4,6]=>[8,4,1,7,2,6,5,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[8,5,1,2,7,3,4,6]=>[1,4,8,7,2,6,5,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[7,5,1,2,8,3,4,6]=>[2,4,8,7,1,6,5,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[6,5,1,2,3,8,4,7]=>[3,4,8,7,6,1,5,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[4,6,2,1,3,8,5,7]=>[5,3,7,8,6,1,4,2]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[3,2,6,1,4,8,5,7]=>[6,7,3,8,5,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[3,2,7,1,8,4,5,6]=>[6,7,2,8,1,5,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[4,7,2,1,8,3,5,6]=>[5,2,7,8,1,6,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[7,6,1,8,2,3,4,5]=>[2,3,8,1,7,6,5,4]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,6,1,7,2,3,4,5]=>[1,3,8,2,7,6,5,4]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[1,6,8,7,2,3,4,5]=>[8,3,1,2,7,6,5,4]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,7,8,6,2,3,4,5]=>[8,2,1,3,7,6,5,4]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[7,8,1,6,2,3,4,5]=>[2,1,8,3,7,6,5,4]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[6,8,1,7,2,3,4,5]=>[3,1,8,2,7,6,5,4]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,8,2,1,7,3,5,6]=>[5,1,7,8,2,6,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[3,2,8,1,7,4,5,6]=>[6,7,1,8,2,5,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[3,2,1,8,7,4,5,6]=>[6,7,8,1,2,5,4,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[5,1,8,2,7,3,4,6]=>[4,8,1,7,2,6,5,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[6,1,8,7,2,3,4,5]=>[3,8,1,2,7,6,5,4]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[8,1,7,6,2,3,4,5]=>[1,8,2,3,7,6,5,4]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[1,8,7,6,2,3,4,5]=>[8,1,2,3,7,6,5,4]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[6,3,5,1,2,4,8,7]=>[3,6,4,8,7,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[4,3,5,6,1,2,8,7]=>[5,6,4,3,8,7,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,3,7,5,2,1,4,6]=>[1,6,2,4,7,8,5,3]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,3,7,5,1,8,4,2]=>[3,6,2,4,8,1,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[6,5,2,7,1,8,3,4]=>[3,4,7,2,8,1,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,5,2,7,4,1,3,6]=>[1,4,7,2,5,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[2,6,1,5,4,3,8,7]=>[7,3,8,4,5,6,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[6,4,3,5,1,2,8,7]=>[3,5,6,4,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[5,3,1,4,6,2,8,7]=>[4,6,8,5,3,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[3,1,4,6,5,2,8,7]=>[6,8,5,3,4,7,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[5,7,4,6,2,8,3,1]=>[4,2,5,3,7,1,6,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[8,1,4,7,2,6,3,5]=>[1,8,5,2,7,3,6,4]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[3,4,7,8,5,2,1,6]=>[6,5,2,1,4,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,1,8,5,7,3,4,6]=>[7,8,1,4,2,6,5,3]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[8,6,3,5,1,7,4,2]=>[1,3,6,4,8,2,5,7]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[5,8,2,4,6,7,3,1]=>[4,1,7,5,3,2,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[3,4,8,6,5,7,1,2]=>[6,5,1,3,4,2,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[7,5,4,8,1,6,3,2]=>[2,4,5,1,8,3,6,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[5,1,4,6,8,2,7,3]=>[4,8,5,3,1,7,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[2,5,4,6,7,1,8,3]=>[7,4,5,3,2,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[2,4,6,3,7,5,8,1]=>[7,5,3,6,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[4,1,6,3,8,5,7,2]=>[5,8,3,6,1,4,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,7,4,2,8,6,5,1]=>[6,2,5,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[7,4,1,3,5,8,6,2]=>[2,5,8,6,4,1,3,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[6,5,8,4,1,7,3,2]=>[3,4,1,5,8,2,6,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[8,5,3,7,4,1,6,2]=>[1,4,6,2,5,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,1,4,8,3,7,6,5]=>[7,8,5,1,6,2,3,4]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[7,4,3,8,2,1,6,5]=>[2,5,6,1,7,8,3,4]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[6,3,7,4,1,8,2,5]=>[3,6,2,5,8,1,7,4]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[8,3,1,2,5,7,6,4]=>[1,6,8,7,4,2,3,5]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[3,1,8,2,7,6,5,4]=>[6,8,1,7,2,3,4,5]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[2,3,8,1,6,7,5,4]=>[7,6,1,8,3,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[4,3,7,2,6,8,5,1]=>[5,6,2,7,3,1,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[4,7,2,3,8,5,6,1]=>[5,2,7,6,1,4,3,8]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,8,2,1,7,5,6,4]=>[6,1,7,8,2,4,3,5]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[2,8,1,3,6,5,7,4]=>[7,1,8,6,3,4,2,5]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[2,7,8,5,4,3,1,6]=>[7,2,1,4,5,6,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,7,1,6,3,4,2,5]=>[1,2,8,3,6,5,7,4]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[3,8,6,7,2,4,1,5]=>[6,1,3,2,7,5,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[5,3,8,7,4,2,6,1]=>[4,6,1,2,5,7,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[4,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,4]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[8,3,6,1,4,2,7,5]=>[1,6,3,8,5,7,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,3,5,8,2,4,1,6]=>[2,6,4,1,7,5,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[2,3,4,1,8,5,7,6]=>[7,6,5,8,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[4,1,3,2,6,7,8,5]=>[5,8,6,7,3,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[8,3,5,6,2,7,1,4]=>[1,6,4,3,7,2,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,3,6,1,8,7,2,4]=>[4,6,3,8,1,2,7,5]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[5,6,2,8,7,4,1,3]=>[4,3,7,1,2,5,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[7,8,5,6,1,4,2,3]=>[2,1,4,3,8,5,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,8,6,5,4,7,1,3]=>[7,1,3,4,5,2,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[8,1,6,4,5,7,2,3]=>[1,8,3,5,4,2,7,6]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[5,8,3,6,1,7,2,4]=>[4,1,6,3,8,2,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[2,1,8,6,5,7,3,4]=>[7,8,1,3,4,2,6,5]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[2,1,7,5,3,6,8,4]=>[7,8,2,4,6,3,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[6,7,3,5,2,1,8,4]=>[3,2,6,4,7,8,1,5]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,1,4,2,5,6,8,3]=>[2,8,5,7,4,3,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[2,7,4,1,6,5,8,3]=>[7,2,5,8,3,4,1,6]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[4,6,1,2,8,7,3,5]=>[5,3,8,7,1,2,6,4]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[2,4,1,5,8,7,6,3]=>[7,5,8,4,1,2,3,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[4,1,2,5,8,6,7,3]=>[5,8,7,4,1,3,2,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,4,2,1,5,8,7,3]=>[3,5,7,8,4,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,5,2,4,6,1,7,3]=>[1,4,7,5,3,8,2,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,5,3,2,6,8,1,4]=>[2,4,6,7,3,1,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[2,1,5,3,6,8,7,4]=>[7,8,4,6,3,1,2,5]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[7,3,5,4,6,1,8,2]=>[2,6,4,5,3,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,3,4,1,5,7,8,2]=>[3,6,5,8,4,2,1,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[4,3,1,5,7,6,8,2]=>[5,6,8,4,2,3,1,7]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[3,1,4,5,6,8,7,2]=>[6,8,5,4,3,1,2,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[4,5,2,6,3,1,8,7]=>[5,4,7,3,6,8,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[6,5,2,1,4,3,8,7]=>[3,4,7,8,5,6,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[6,5,2,7,4,8,3,1]=>[3,4,7,2,5,1,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,5,2,7,4,1,6,3]=>[1,4,7,2,5,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,3,7,5,2,1,6,4]=>[1,6,2,4,7,8,3,5]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[6,3,7,5,2,8,4,1]=>[3,6,2,4,7,1,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[3,1,6,5,4,2,8,7]=>[6,8,3,4,5,7,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[5,6,3,2,4,1,8,7]=>[4,3,6,7,5,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[3,6,2,4,1,5,8,7]=>[6,3,7,5,8,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,6,1,3,5,4,8,7]=>[7,3,8,6,4,5,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[6,7,2,3,4,8,5,1]=>[3,2,7,6,5,1,4,8]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[8,7,2,3,4,1,6,5]=>[1,2,7,6,5,8,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,1,7,3,8,4,6,2]=>[4,8,2,6,1,5,3,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,5,7,3,8,6,4,1]=>[7,4,2,6,1,3,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[7,6,1,3,5,8,4,2]=>[2,3,8,6,4,1,5,7]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[3,6,7,4,1,8,5,2]=>[6,3,2,5,8,1,4,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[5,6,3,7,4,8,1,2]=>[4,3,6,2,5,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,1,6,7,4,8,5,3]=>[7,8,3,2,5,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[2,1,8,7,4,3,6,5]=>[7,8,1,2,5,6,3,4]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[5,8,3,7,4,2,6,1]=>[4,1,6,2,5,7,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[3,8,7,4,1,2,6,5]=>[6,1,2,5,8,7,3,4]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[7,8,1,3,5,2,6,4]=>[2,1,8,6,4,7,3,5]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,8,7,3,2,6,1,4]=>[4,1,2,6,7,3,8,5]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[2,8,6,3,1,5,7,4]=>[7,1,3,6,8,4,2,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[8,1,6,3,2,5,4,7]=>[1,8,3,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[2,8,4,1,6,3,7,5]=>[7,1,5,8,3,6,2,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[4,8,1,2,7,6,3,5]=>[5,1,8,7,2,3,6,4]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[3,8,4,2,5,7,1,6]=>[6,1,5,7,4,2,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[6,8,3,5,2,7,4,1]=>[3,1,6,4,7,2,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[2,1,5,3,8,7,6,4]=>[7,8,4,6,1,2,3,5]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[6,5,3,2,8,7,1,4]=>[3,4,6,7,1,2,8,5]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[7,5,2,4,8,1,6,3]=>[2,4,7,5,1,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[3,4,2,8,5,7,6,1]=>[6,5,7,1,4,2,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,4,1,8,7,6,5,3]=>[7,5,8,1,2,3,4,6]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[8,4,2,1,7,5,3,6]=>[1,5,7,8,2,4,6,3]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[4,3,1,8,6,7,5,2]=>[5,6,8,1,3,2,4,7]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[3,1,4,8,6,5,7,2]=>[6,8,5,1,3,4,2,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[7,1,6,5,4,8,2,3]=>[2,8,3,4,5,1,7,6]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[3,7,5,6,8,4,2,1]=>[6,2,4,3,1,5,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[5,7,1,6,8,2,4,3]=>[4,2,8,3,1,7,5,6]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[8,6,2,5,1,7,4,3]=>[1,3,7,4,8,2,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[5,6,2,1,8,7,3,4]=>[4,3,7,8,1,2,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[4,6,2,5,8,3,7,1]=>[5,3,7,4,1,6,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[7,5,2,6,3,8,1,4]=>[2,4,7,3,6,1,8,5]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[4,1,2,3,6,8,7,5]=>[5,8,7,6,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,4,3,1,8,5,6,7]=>[7,5,6,8,1,4,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[7,5,2,8,3,4,6,1]=>[2,4,7,1,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[5,6,2,8,4,3,1,7]=>[4,3,7,1,5,6,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[4,7,2,8,1,5,3,6]=>[5,2,7,1,8,4,6,3]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[8,7,2,1,4,5,6,3]=>[1,2,7,8,5,4,3,6]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[3,6,8,7,1,5,4,2]=>[6,3,1,2,8,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[5,7,8,6,3,4,1,2]=>[4,2,1,3,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[7,1,8,5,4,3,6,2]=>[2,8,1,4,5,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[2,7,8,4,5,3,6,1]=>[7,2,1,5,4,6,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,7,3,8,1,4,6,2]=>[4,2,6,1,8,5,3,7]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[2,1,7,8,5,4,6,3]=>[7,8,2,1,4,5,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[2,1,5,8,4,6,3,7]=>[7,8,4,1,5,3,6,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,5,3,8,4,1,2,7]=>[3,4,6,1,5,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,5,8,4,3,6,2,1]=>[2,4,1,5,6,3,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[2,4,8,3,5,6,1,7]=>[7,5,1,6,4,3,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[4,1,8,3,6,5,2,7]=>[5,8,1,6,3,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[3,4,8,1,7,2,5,6]=>[6,5,1,8,2,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[8,4,1,3,7,2,6,5]=>[1,5,8,6,2,7,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[3,1,8,2,4,7,6,5]=>[6,8,1,7,5,2,3,4]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[2,3,8,1,4,6,7,5]=>[7,6,1,8,5,3,2,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[4,3,8,2,5,1,7,6]=>[5,6,1,7,4,8,2,3]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[6,3,8,4,2,5,7,1]=>[3,6,1,5,7,4,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[7,4,3,8,2,5,1,6]=>[2,5,6,1,7,4,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[2,1,4,8,3,5,7,6]=>[7,8,5,1,6,4,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[6,8,2,4,3,5,1,7]=>[3,1,7,5,6,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,8,2,3,5,1,6,7]=>[5,1,7,6,4,8,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[3,8,2,1,4,6,5,7]=>[6,1,7,8,5,3,4,2]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[2,8,1,3,4,5,7,6]=>[7,1,8,6,5,4,2,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[2,8,4,1,6,5,3,7]=>[7,1,5,8,3,4,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,8,4,1,6,5,7,3]=>[7,1,5,8,3,4,2,6]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[2,8,7,6,1,4,3,5]=>[7,1,2,3,8,5,6,4]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,8,5,6,7,4,3,1]=>[7,1,4,3,2,5,6,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[7,5,8,6,1,4,2,3]=>[2,4,1,3,8,5,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,5,7,6,1,4,2,8]=>[6,4,2,3,8,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[3,5,7,2,4,1,6,8]=>[6,4,2,7,5,8,3,1]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[7,5,8,2,4,1,6,3]=>[2,4,1,7,5,8,3,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[2,8,5,3,4,7,6,1]=>[7,1,4,6,5,2,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,8,5,3,4,1,7,6]=>[7,1,4,6,5,8,2,3]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,8,5,3,4,1,6,7]=>[7,1,4,6,5,8,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[2,8,7,6,1,4,5,3]=>[7,1,2,3,8,5,4,6]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[2,8,5,3,6,1,7,4]=>[7,1,4,6,3,8,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,8,5,6,7,4,1,3]=>[7,1,4,3,2,5,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[2,8,5,3,4,7,1,6]=>[7,1,4,6,5,2,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,8,5,3,4,6,1,7]=>[7,1,4,6,5,3,8,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[2,8,5,3,4,6,7,1]=>[7,1,4,6,5,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[3,5,7,2,4,6,1,8]=>[6,4,2,7,5,3,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,5,2,7,3,1,4,8]=>[3,4,7,2,6,8,5,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,5,2,8,3,1,7,4]=>[3,4,7,1,6,8,2,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[6,5,2,8,3,1,4,7]=>[3,4,7,1,6,8,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,5,8,2,4,6,3,1]=>[2,4,1,7,5,3,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[7,5,8,6,1,4,3,2]=>[2,4,1,3,8,5,6,7]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[6,5,8,2,1,3,7,4]=>[3,4,1,7,8,6,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[3,5,6,2,1,8,7,4]=>[6,4,3,7,8,1,2,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[3,5,7,6,1,4,8,2]=>[6,4,2,3,8,5,1,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[3,5,7,2,4,1,8,6]=>[6,4,2,7,5,8,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,5,7,2,4,6,8,1]=>[6,4,2,7,5,3,1,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[6,5,2,7,3,1,8,4]=>[3,4,7,2,6,8,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[4,5,2,6,3,1,7,8]=>[5,4,7,3,6,8,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[4,1,2,3,7,6,8,5]=>[5,8,7,6,2,3,1,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,5,2,7,3,4,8,1]=>[3,4,7,2,6,5,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[5,1,6,7,4,3,8,2]=>[4,8,3,2,5,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[5,1,2,6,4,8,7,3]=>[4,8,7,3,5,1,2,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[5,1,2,8,6,4,7,3]=>[4,8,7,1,3,5,2,6]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[5,1,6,8,7,3,4,2]=>[4,8,3,1,2,6,5,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[6,5,2,8,3,7,4,1]=>[3,4,7,1,6,2,5,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[4,1,2,3,8,7,5,6]=>[5,8,7,6,1,2,4,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[4,1,2,3,8,6,5,7]=>[5,8,7,6,1,3,4,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[4,1,2,3,8,6,7,5]=>[5,8,7,6,1,3,2,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[4,1,2,3,7,6,5,8]=>[5,8,7,6,2,3,4,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[4,1,2,3,8,5,7,6]=>[5,8,7,6,1,4,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[7,1,6,8,4,3,5,2]=>[2,8,3,1,5,6,4,7]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[6,1,2,8,4,5,7,3]=>[3,8,7,1,5,4,2,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[5,6,8,2,3,1,7,4]=>[4,3,1,7,6,8,2,5]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[6,5,8,2,4,3,1,7]=>[3,4,1,7,5,6,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[6,5,8,2,4,3,7,1]=>[3,4,1,7,5,6,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,5,2,8,3,4,1,6]=>[2,4,7,1,6,5,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[6,5,2,8,3,7,1,4]=>[3,4,7,1,6,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[6,5,2,7,3,4,1,8]=>[3,4,7,2,6,5,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,1,6,7,4,3,2,8]=>[4,8,3,2,5,6,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[5,1,6,8,7,3,2,4]=>[4,8,3,1,2,6,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[7,1,6,8,4,3,2,5]=>[2,8,3,1,5,6,7,4]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[5,7,8,6,3,4,2,1]=>[4,2,1,3,6,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[4,1,8,3,6,5,7,2]=>[5,8,1,6,3,4,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,1,8,3,6,2,7,5]=>[5,8,1,6,3,7,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,1,4,8,6,2,7,5]=>[6,8,5,1,3,7,2,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[3,1,4,8,6,5,2,7]=>[6,8,5,1,3,4,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[7,1,6,5,8,3,2,4]=>[2,8,3,4,1,6,7,5]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[4,1,6,7,8,3,2,5]=>[5,8,3,2,1,6,7,4]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[4,1,6,5,7,3,2,8]=>[5,8,3,4,2,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,5,2,6,3,7,1,8]=>[5,4,7,3,6,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[4,5,2,7,3,8,1,6]=>[5,4,7,2,6,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,5,6,2,4,8,7,1]=>[6,4,3,7,5,1,2,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,5,6,2,4,8,1,7]=>[6,4,3,7,5,1,8,2]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,7,5,6,8,4,1,2]=>[6,2,4,3,1,5,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[3,6,5,2,8,1,7,4]=>[6,3,4,7,1,8,2,5]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[6,1,2,5,8,4,7,3]=>[3,8,7,4,1,5,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,1,6,5,8,3,4,2]=>[2,8,3,4,1,6,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,5,2,6,3,8,4,1]=>[2,4,7,3,6,1,5,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[4,1,2,3,5,8,7,6]=>[5,8,7,6,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[4,1,2,3,7,8,6,5]=>[5,8,7,6,2,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[4,5,2,7,3,8,6,1]=>[5,4,7,2,6,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,1,6,7,8,3,5,2]=>[5,8,3,2,1,6,4,7]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[4,1,2,6,8,5,7,3]=>[5,8,7,3,1,4,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[4,1,2,5,6,8,7,3]=>[5,8,7,4,3,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[4,5,2,6,3,7,8,1]=>[5,4,7,3,6,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[7,8,5,6,1,4,3,2]=>[2,1,4,3,8,5,6,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[7,8,4,2,1,5,3,6]=>[2,1,5,7,8,4,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,8,2,1,6,5,3,4]=>[2,1,7,8,3,4,6,5]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[2,4,8,1,5,7,3,6]=>[7,5,1,8,4,2,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[4,3,8,1,7,2,5,6]=>[5,6,1,8,2,7,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[6,3,1,4,7,2,5,8]=>[3,6,8,5,2,7,4,1]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[7,8,3,4,5,1,6,2]=>[2,1,6,5,4,8,3,7]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,8,3,5,4,2,1,6]=>[2,1,6,4,5,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[7,8,4,1,2,3,6,5]=>[2,1,5,8,7,6,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[7,8,2,1,5,3,4,6]=>[2,1,7,8,4,6,5,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[7,8,2,6,4,1,3,5]=>[2,1,7,3,5,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,8,2,5,6,4,1,3]=>[2,1,7,4,3,5,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,8,1,6,5,4,3,2]=>[2,1,8,3,4,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[2,1,8,7,5,4,3,6]=>[7,8,1,2,4,5,6,3]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[1,3,8,2,6,4,7,5]=>[8,6,1,7,3,5,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[5,3,7,1,6,4,8,2]=>[4,6,2,8,3,5,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,3,6,2,7,4,1,8]=>[4,6,3,7,2,5,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,3,1,8,4,2,7,5]=>[3,6,8,1,5,7,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[6,4,2,1,5,3,8,7]=>[3,5,7,8,4,6,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[6,4,3,7,5,8,1,2]=>[3,5,6,2,4,1,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[4,3,8,7,5,6,1,2]=>[5,6,1,2,4,3,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[2,4,7,1,5,3,6,8]=>[7,5,2,8,4,6,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[2,1,7,5,6,8,4,3]=>[7,8,2,4,3,1,5,6]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[1,5,6,8,2,4,7,3]=>[8,4,3,1,7,5,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,6,8,5,3,1,4,7]=>[7,3,1,4,6,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[5,6,7,3,8,4,1,2]=>[4,3,2,6,1,5,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[4,5,6,7,2,8,1,3]=>[5,4,3,2,7,1,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[4,5,7,6,1,8,3,2]=>[5,4,2,3,8,1,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,5,8,6,2,7,3,4]=>[8,4,1,3,7,2,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,7,5,6,3,1,8,2]=>[5,2,4,3,6,8,1,7]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[5,1,6,3,4,2,8,7]=>[4,8,3,6,5,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,7,1,4,2,3,8,6]=>[4,2,8,5,7,6,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[5,7,6,4,3,8,1,2]=>[4,2,3,5,6,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[6,3,4,5,8,7,1,2]=>[3,6,5,4,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[6,2,4,1,8,3,7,5]=>[3,7,5,8,1,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[6,2,3,5,4,8,1,7]=>[3,7,6,4,5,1,8,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,1,3,4,5,8,7,2]=>[3,8,6,5,4,1,2,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,6,2,4,7,8,3,5]=>[8,3,7,5,2,1,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[5,7,2,4,1,6,3,8]=>[4,2,7,5,8,3,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[6,7,5,8,1,4,3,2]=>[3,2,4,1,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[5,8,7,6,3,4,1,2]=>[4,1,2,3,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[5,8,7,6,2,3,1,4]=>[4,1,2,3,7,6,8,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[4,1,7,2,6,5,3,8]=>[5,8,2,7,3,4,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,8,2,1,5,6,3,7]=>[5,1,7,8,4,3,6,2]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[4,2,7,8,1,6,3,5]=>[5,7,2,1,8,3,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[2,1,8,7,6,5,3,4]=>[7,8,1,2,3,4,6,5]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[4,3,7,5,6,8,1,2]=>[5,6,2,4,3,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[3,8,5,6,1,4,7,2]=>[6,1,4,3,8,5,2,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[3,6,7,8,5,1,4,2]=>[6,3,2,1,4,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[3,7,6,8,5,2,1,4]=>[6,2,3,1,4,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[4,1,8,6,2,3,5,7]=>[5,8,1,3,7,6,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[4,7,8,6,3,5,1,2]=>[5,2,1,3,6,4,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[3,8,7,6,5,4,1,2]=>[6,1,2,3,4,5,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[2,1,7,6,5,3,4,8]=>[7,8,2,3,4,6,5,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[2,8,1,6,4,5,3,7]=>[7,1,8,3,5,4,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,8,7,5,1,4,3,6]=>[7,1,2,4,8,5,6,3]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,7,8,6,5,4,1,3]=>[7,2,1,3,4,5,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[7,4,2,5,1,3,8,6]=>[2,5,7,4,8,6,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,5,3,6,1,8,2,4]=>[2,4,6,3,8,1,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,3,6,2,4,8,1,5]=>[2,6,3,7,5,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[4,3,7,1,2,5,8,6]=>[5,6,2,8,7,4,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[3,6,2,7,1,4,8,5]=>[6,3,7,2,8,5,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[5,3,6,7,1,2,8,4]=>[4,6,3,2,8,7,1,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[6,3,7,4,1,2,8,5]=>[3,6,2,5,8,7,1,4]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[4,7,1,5,2,3,8,6]=>[5,2,8,4,7,6,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[3,7,5,1,2,4,8,6]=>[6,2,4,8,7,5,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[5,7,4,2,3,8,1,6]=>[4,2,5,7,6,1,8,3]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[3,7,6,1,4,8,2,5]=>[6,2,3,8,5,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[5,7,2,6,1,8,3,4]=>[4,2,7,3,8,1,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[6,4,7,5,2,8,1,3]=>[3,5,2,4,7,1,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[7,4,8,5,2,6,1,3]=>[2,5,1,4,7,3,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[5,8,2,6,3,7,1,4]=>[4,1,7,3,6,2,8,5]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[3,8,6,1,2,7,4,5]=>[6,1,3,8,7,2,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[3,8,6,2,4,7,1,5]=>[6,1,3,7,5,2,8,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[6,8,4,3,7,1,2,5]=>[3,1,5,6,2,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[6,8,5,3,7,1,2,4]=>[3,1,4,6,2,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[3,8,5,7,1,2,4,6]=>[6,1,4,2,8,7,5,3]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[2,7,6,4,8,1,3,5]=>[7,2,3,5,1,8,6,4]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[2,5,7,4,8,1,3,6]=>[7,4,2,5,1,8,6,3]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[5,4,6,7,2,8,1,3]=>[4,5,3,2,7,1,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[3,5,7,1,4,8,2,6]=>[6,4,2,8,5,1,7,3]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[5,3,7,2,4,8,1,6]=>[4,6,2,7,5,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[7,4,6,3,8,1,2,5]=>[2,5,3,6,1,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[8,4,6,3,7,1,2,5]=>[1,5,3,6,2,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[8,4,1,6,7,2,3,5]=>[1,5,8,3,2,7,6,4]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,4,1,7,8,2,3,6]=>[4,5,8,2,1,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[6,5,1,2,7,8,3,4]=>[3,4,8,7,2,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[5,3,6,4,7,8,1,2]=>[4,6,3,5,2,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[6,3,7,4,8,5,1,2]=>[3,6,2,5,1,4,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[7,5,1,2,8,6,3,4]=>[2,4,8,7,1,3,6,5]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[7,5,3,8,1,6,2,4]=>[2,4,6,1,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[8,6,1,7,5,2,3,4]=>[1,3,8,2,4,7,6,5]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[5,7,2,8,1,6,3,4]=>[4,2,7,1,8,3,6,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[6,3,7,8,5,1,2,4]=>[3,6,2,1,4,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[3,6,8,2,7,1,4,5]=>[6,3,1,7,2,8,5,4]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[2,4,8,7,1,3,5,6]=>[7,5,1,2,8,6,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[4,3,8,7,1,2,5,6]=>[5,6,1,2,8,7,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[8,4,7,6,1,2,3,5]=>[1,5,2,3,8,7,6,4]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,4,8,7,1,2,3,6]=>[4,5,1,2,8,7,6,3]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[3,5,8,7,1,2,4,6]=>[6,4,1,2,8,7,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[4,7,1,8,6,2,3,5]=>[5,2,8,1,3,7,6,4]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[7,5,8,6,4,1,2,3]=>[2,4,1,3,5,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,8,4,7,5,1,2,3]=>[3,1,5,2,4,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[2,8,7,6,1,3,4,5]=>[7,1,2,3,8,6,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[3,8,7,6,1,2,4,5]=>[6,1,2,3,8,7,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[4,8,7,6,1,2,3,5]=>[5,1,2,3,8,7,6,4]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[5,6,3,1,4,2,8,7]=>[4,3,6,8,5,7,1,2]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[3,8,7,4,5,1,6,2]=>[6,1,2,5,4,8,3,7]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[5,7,3,8,1,2,6,4]=>[4,2,6,1,8,7,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[8,7,1,4,5,3,2,6]=>[1,2,8,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[2,7,8,4,1,6,5,3]=>[7,2,1,5,8,3,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[7,1,8,4,2,6,5,3]=>[2,8,1,5,7,3,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[6,5,3,1,8,4,7,2]=>[3,4,6,8,1,5,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,6,3,1,2,5,7,4]=>[1,3,6,8,7,4,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,7,1,4,2,6,5,3]=>[1,2,8,5,7,3,4,6]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[7,3,8,4,1,6,5,2]=>[2,6,1,5,8,3,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[2,3,4,5,6,7,8,1,9]=>[8,7,6,5,4,3,2,9,1]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[7,2]
[2,3,4,5,6,7,8,9,10,1]=>[9,8,7,6,5,4,3,2,1,10]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[2,3,4,5,6,7,8,9,1,10]=>[9,8,7,6,5,4,3,2,10,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[8,2]
[2,3,4,5,6,1,9,7,8]=>[8,7,6,5,4,9,1,3,2]=>[[1,6],[2,8],[3],[4],[5],[7],[9]]=>[5,2,2]
[3,6,4,5,7,2,8,1]=>[6,3,5,4,2,7,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[5,3,2,7,4,6,8,1]=>[4,6,7,2,5,3,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[7,5,3,6,2,4,8,1]=>[2,4,6,3,7,5,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,5,3,6,2,7,1,4]=>[1,4,6,3,7,2,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,2,6,3,4,7,1,5]=>[1,7,3,6,5,2,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[7,2,6,3,4,5,8,1]=>[2,7,3,6,5,4,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[6,2,7,3,4,5,8,1]=>[3,7,2,6,5,4,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[3,6,2,7,4,5,8,1]=>[6,3,7,2,5,4,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[4,2,5,7,3,6,8,1]=>[5,7,4,2,6,3,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[5,4,7,6,2,3,8,1]=>[4,5,2,3,7,6,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[6,7,3,5,2,4,8,1]=>[3,2,6,4,7,5,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[3,7,6,2,4,5,8,1]=>[6,2,3,7,5,4,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[2,7,6,3,4,5,8,1]=>[7,2,3,6,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[6,5,3,1,2,8,4,7]=>[3,4,6,8,7,1,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,6,5,2,3,7,1,4]=>[1,3,4,7,6,2,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,5,2,1,8,3,4,6]=>[2,4,7,8,1,6,5,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,6,3,2,8,4,5,7]=>[8,3,6,7,1,5,4,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[5,7,3,1,2,8,4,6]=>[4,2,6,8,7,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,6,2,3,1,8,4,7]=>[4,3,7,6,8,1,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,2,6,5,1,8,3,7]=>[5,7,3,4,8,1,6,2]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[5,4,8,6,2,7,1,3]=>[4,5,1,3,7,2,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[6,8,3,5,2,7,1,4]=>[3,1,6,4,7,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[7,8,5,2,3,6,1,4]=>[2,1,4,7,6,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[2,8,1,7,3,4,5,6]=>[7,1,8,2,6,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,8,1,5,7,2,3,6]=>[5,1,8,4,2,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[4,2,8,3,7,1,5,6]=>[5,7,1,6,2,8,4,3]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[4,1,7,5,8,2,3,6]=>[5,8,2,4,1,7,6,3]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[8,1,2,7,3,4,5,6]=>[1,8,7,2,6,5,4,3]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[3,6,2,7,1,8,4,5]=>[6,3,7,2,8,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[6,3,7,1,2,8,4,5]=>[3,6,2,8,7,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[7,2,6,1,8,3,4,5]=>[2,7,3,8,1,6,5,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[7,3,1,5,8,2,4,6]=>[2,6,8,4,1,7,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[3,2,1,5,8,4,6,7]=>[6,7,8,4,1,5,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[1,5,3,4,6,8,2,7]=>[8,4,6,5,3,1,7,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[5,4,6,3,8,7,1,2]=>[4,5,3,6,1,2,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[3,6,4,5,8,7,1,2]=>[6,3,5,4,1,2,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[6,5,3,4,8,7,1,2]=>[3,4,6,5,1,2,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,3,2,8,7,1,4,6]=>[4,6,7,1,2,8,5,3]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,3,1,8,7,2,4,6]=>[4,6,8,1,2,7,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[8,5,3,7,6,1,2,4]=>[1,4,6,2,3,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,1,8,3,7,2,4,5]=>[3,8,1,6,2,7,5,4]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[6,3,8,1,7,2,4,5]=>[3,6,1,8,2,7,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[7,6,8,2,3,5,1,4]=>[2,3,1,7,6,4,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[3,7,8,2,4,6,1,5]=>[6,2,1,7,5,3,8,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[6,7,3,8,2,5,1,4]=>[3,2,6,1,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,4,7,8,2,6,1,3]=>[4,5,2,1,7,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,2,5,8,7,1,3,6]=>[5,7,4,1,2,8,6,3]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[3,6,2,8,7,1,4,5]=>[6,3,7,1,2,8,5,4]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[2,3,8,7,1,4,5,6]=>[7,6,1,2,8,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[7,2,8,6,1,3,4,5]=>[2,7,1,3,8,6,5,4]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[2,1,8,7,3,4,5,6]=>[7,8,1,2,6,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[8,2,7,6,1,3,4,5]=>[1,7,2,3,8,6,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[1,3,8,7,2,4,5,6]=>[8,6,1,2,7,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,7,8,3,6,2,4,5]=>[8,2,1,6,3,7,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[4,1,5,8,7,2,3,6]=>[5,8,4,1,2,7,6,3]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[5,4,8,7,6,1,2,3]=>[4,5,1,2,3,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,8,3,7,5,1,2,4]=>[3,1,6,2,4,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,8,6,2,5,1,3,4]=>[2,1,3,7,4,8,6,5]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,1,6,7,3,2,5,4]=>[1,8,3,2,6,7,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,1,6,7,3,2,4,5]=>[1,8,3,2,6,7,5,4]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[7,5,1,3,6,2,4,8]=>[2,4,8,6,3,7,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[7,5,8,3,6,2,4,1]=>[2,4,1,6,3,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[7,4,8,3,2,6,5,1]=>[2,5,1,6,7,3,4,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[7,4,1,3,2,6,5,8]=>[2,5,8,6,7,3,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,1,4,3,2,7,6,5]=>[1,8,5,6,7,2,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[8,1,5,3,6,2,7,4]=>[1,8,4,6,3,7,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,1,4,3,2,5,6,7]=>[1,8,5,6,7,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[7,4,1,3,2,5,6,8]=>[2,5,8,6,7,4,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[7,4,8,3,2,5,6,1]=>[2,5,1,6,7,4,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[6,4,3,8,2,5,7,1]=>[3,5,6,1,7,4,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[6,4,3,1,2,5,8,7]=>[3,5,6,8,7,4,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,4,1,3,2,5,8,6]=>[2,5,8,6,7,4,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,4,1,3,2,6,8,5]=>[2,5,8,6,7,3,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,5,8,3,6,2,1,4]=>[2,4,1,6,3,7,8,5]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[7,4,8,3,2,6,1,5]=>[2,5,1,6,7,3,8,4]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[7,4,8,3,2,5,1,6]=>[2,5,1,6,7,4,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,4,3,8,2,5,1,7]=>[3,5,6,1,7,4,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[6,4,3,7,2,5,8,1]=>[3,5,6,2,7,4,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[5,4,3,2,8,6,1,7]=>[4,5,6,7,1,3,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,4,3,2,8,7,1,6]=>[4,5,6,7,1,2,8,3]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[6,5,3,8,7,2,1,4]=>[3,4,6,1,2,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[6,5,4,8,7,1,2,3]=>[3,4,5,1,2,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,5,4,1,7,8,2,3]=>[3,4,5,8,2,1,7,6]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[6,4,3,1,2,7,8,5]=>[3,5,6,8,7,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[5,4,3,2,1,8,6,7]=>[4,5,6,7,8,1,3,2]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[6,5,3,1,8,2,7,4]=>[3,4,6,8,1,7,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[6,5,4,1,8,7,2,3]=>[3,4,5,8,1,2,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[7,4,1,3,2,8,6,5]=>[2,5,8,6,7,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,4,3,1,2,8,5,7]=>[3,5,6,8,7,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,4,3,1,2,7,5,8]=>[3,5,6,8,7,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,4,3,8,2,7,5,1]=>[3,5,6,1,7,2,4,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[6,5,3,8,7,2,4,1]=>[3,4,6,1,2,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[6,5,3,1,7,2,4,8]=>[3,4,6,8,2,7,5,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[6,5,3,1,8,2,4,7]=>[3,4,6,8,1,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,5,1,3,8,2,4,6]=>[2,4,8,6,1,7,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[7,6,1,8,3,2,4,5]=>[2,3,8,1,6,7,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,6,8,1,4,5,2,3]=>[2,3,1,8,5,4,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,6,8,1,3,2,5,4]=>[2,3,1,8,6,7,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[6,5,3,7,8,2,4,1]=>[3,4,6,2,1,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,4,3,7,2,8,5,1]=>[3,5,6,2,7,1,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,4,3,7,2,1,5,8]=>[3,5,6,2,7,8,4,1]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,4,8,3,2,1,5,6]=>[2,5,1,6,7,8,4,3]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[7,4,8,3,2,1,6,5]=>[2,5,1,6,7,8,3,4]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,5,8,4,1,6,2,3]=>[2,4,1,5,8,3,7,6]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[6,5,4,8,1,7,2,3]=>[3,4,5,1,8,2,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[5,4,3,2,8,1,7,6]=>[4,5,6,7,1,8,2,3]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[6,4,3,7,2,1,8,5]=>[3,5,6,2,7,8,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[6,5,4,7,1,8,2,3]=>[3,4,5,2,8,1,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[6,5,3,7,8,2,1,4]=>[3,4,6,2,1,7,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[6,4,3,7,2,8,1,5]=>[3,5,6,2,7,1,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[5,4,3,2,7,8,1,6]=>[4,5,6,7,2,1,8,3]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[5,4,3,2,6,8,1,7]=>[4,5,6,7,3,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[5,8,2,7,4,1,3,6]=>[4,1,7,2,5,8,6,3]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[5,3,7,8,2,1,4,6]=>[4,6,2,1,7,8,5,3]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[7,6,1,2,5,8,3,4]=>[2,3,8,7,4,1,6,5]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,3,7,4,1,5,6,2]=>[1,6,2,5,8,4,3,7]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[2,6,8,3,1,4,7,5]=>[7,3,1,6,8,5,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[6,1,8,3,2,4,5,7]=>[3,8,1,6,7,5,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[5,8,7,4,2,1,6,3]=>[4,1,2,5,7,8,3,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[6,5,2,1,8,7,4,3]=>[3,4,7,8,1,2,5,6]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[4,7,2,8,1,3,6,5]=>[5,2,7,1,8,6,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[3,4,7,1,8,2,6,5]=>[6,5,2,8,1,7,3,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,6,2,4,3,5,7,8]=>[8,3,7,5,6,4,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,5,2,4,3,6,7,8]=>[8,4,7,5,6,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,6,2,5,3,4,7,8]=>[8,3,7,4,6,5,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,7,2,5,3,4,6,8]=>[8,2,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,8,2,6,3,4,5,7]=>[8,1,7,3,6,5,4,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,7,2,6,3,4,5,8]=>[8,2,7,3,6,5,4,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,8,2,7,3,5,4,6]=>[8,1,7,2,6,4,5,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[1,7,2,8,3,5,4,6]=>[8,2,7,1,6,4,5,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,5,2,8,3,6,4,7]=>[8,4,7,1,6,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,4,2,8,3,6,5,7]=>[8,5,7,1,6,3,4,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,3,2,8,4,6,5,7]=>[8,6,7,1,5,3,4,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[1,2,3,7,4,6,5,8]=>[8,7,6,2,5,3,4,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[1,3,2,7,4,6,5,8]=>[8,6,7,2,5,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,4,2,7,3,6,5,8]=>[8,5,7,2,6,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,5,2,7,3,6,4,8]=>[8,4,7,2,6,3,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,6,2,7,3,5,4,8]=>[8,3,7,2,6,4,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,7,2,6,3,5,4,8]=>[8,2,7,3,6,4,5,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[1,8,2,6,3,5,4,7]=>[8,1,7,3,6,4,5,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[1,8,2,5,3,6,4,7]=>[8,1,7,4,6,3,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,7,2,5,3,6,4,8]=>[8,2,7,4,6,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,6,2,5,3,7,4,8]=>[8,3,7,4,6,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,5,2,4,3,7,6,8]=>[8,4,7,5,6,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,6,2,4,3,7,5,8]=>[8,3,7,5,6,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,7,2,4,3,6,5,8]=>[8,2,7,5,6,3,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,8,2,4,3,6,5,7]=>[8,1,7,5,6,3,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,8,2,3,4,6,5,7]=>[8,1,7,6,5,3,4,2]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[1,7,2,3,4,6,5,8]=>[8,2,7,6,5,3,4,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[1,8,2,3,4,7,5,6]=>[8,1,7,6,5,2,4,3]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[1,8,2,4,3,7,5,6]=>[8,1,7,5,6,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,6,2,4,3,8,5,7]=>[8,3,7,5,6,1,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,6,2,5,3,8,4,7]=>[8,3,7,4,6,1,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,7,2,5,3,8,4,6]=>[8,2,7,4,6,1,5,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,8,2,5,3,7,4,6]=>[8,1,7,4,6,2,5,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,7,2,6,3,8,4,5]=>[8,2,7,3,6,1,5,4]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[1,3,2,8,4,7,5,6]=>[8,6,7,1,5,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,4,2,8,3,7,5,6]=>[8,5,7,1,6,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,5,2,8,3,7,4,6]=>[8,4,7,1,6,2,5,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,6,2,8,3,7,4,5]=>[8,3,7,1,6,2,5,4]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,7,2,8,3,6,4,5]=>[8,2,7,1,6,3,5,4]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[4,6,3,7,2,5,1,8]=>[5,3,6,2,7,4,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,6,3,7,5,2,1,8]=>[5,3,6,2,4,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,6,3,8,5,1,7,2]=>[5,3,6,1,4,8,2,7]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[4,6,3,8,5,1,2,7]=>[5,3,6,1,4,8,7,2]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[5,6,8,3,4,1,2,7]=>[4,3,1,6,5,8,7,2]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[5,6,8,3,4,1,7,2]=>[4,3,1,6,5,8,2,7]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[4,6,2,7,5,3,1,8]=>[5,3,7,2,4,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[5,6,7,2,4,3,1,8]=>[4,3,2,7,5,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,6,8,4,3,1,7,2]=>[4,3,1,5,6,8,2,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[5,6,8,4,3,1,2,7]=>[4,3,1,5,6,8,7,2]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[5,7,8,4,1,6,3,2]=>[4,2,1,5,8,3,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[5,7,8,4,1,3,6,2]=>[4,2,1,5,8,6,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[5,6,8,4,2,1,7,3]=>[4,3,1,5,7,8,2,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[5,6,8,2,4,1,7,3]=>[4,3,1,7,5,8,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[4,6,2,8,5,1,7,3]=>[5,3,7,1,4,8,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[3,2,6,8,5,1,7,4]=>[6,7,3,1,4,8,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[3,2,6,8,5,1,4,7]=>[6,7,3,1,4,8,5,2]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[4,6,2,8,5,1,3,7]=>[5,3,7,1,4,8,6,2]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[5,6,8,2,4,1,3,7]=>[4,3,1,7,5,8,6,2]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[5,6,8,4,2,1,3,7]=>[4,3,1,5,7,8,6,2]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[5,7,8,4,1,3,2,6]=>[4,2,1,5,8,6,7,3]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[5,7,8,4,1,2,6,3]=>[4,2,1,5,8,7,3,6]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[5,7,8,4,1,2,3,6]=>[4,2,1,5,8,7,6,3]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[6,7,8,1,5,2,3,4]=>[3,2,1,8,4,7,6,5]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[6,7,8,1,5,2,4,3]=>[3,2,1,8,4,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[6,7,8,1,5,3,2,4]=>[3,2,1,8,4,6,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[6,7,8,1,3,5,2,4]=>[3,2,1,8,6,4,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[5,7,8,2,1,6,3,4]=>[4,2,1,7,8,3,6,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[4,7,2,8,1,6,3,5]=>[5,2,7,1,8,3,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[3,2,7,8,1,6,4,5]=>[6,7,2,1,8,3,5,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[3,2,7,8,1,6,5,4]=>[6,7,2,1,8,3,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,7,2,8,1,6,5,3]=>[5,2,7,1,8,3,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,7,8,2,1,6,4,3]=>[4,2,1,7,8,3,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,7,8,1,3,5,4,2]=>[3,2,1,8,6,4,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,7,8,1,5,3,4,2]=>[3,2,1,8,4,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[6,7,8,1,5,4,3,2]=>[3,2,1,8,4,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[6,7,8,1,5,4,2,3]=>[3,2,1,8,4,5,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[6,7,8,1,4,5,2,3]=>[3,2,1,8,5,4,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[6,7,8,1,4,5,3,2]=>[3,2,1,8,5,4,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,7,8,1,4,3,5,2]=>[3,2,1,8,5,6,4,7]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[6,7,8,1,3,4,5,2]=>[3,2,1,8,6,5,4,7]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[5,7,8,2,1,4,6,3]=>[4,2,1,7,8,5,3,6]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[4,7,2,8,1,5,6,3]=>[5,2,7,1,8,4,3,6]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[3,2,7,8,1,5,6,4]=>[6,7,2,1,8,4,3,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[3,2,6,8,4,1,7,5]=>[6,7,3,1,5,8,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[4,6,2,8,3,1,7,5]=>[5,3,7,1,6,8,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[5,6,8,3,2,1,7,4]=>[4,3,1,6,7,8,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[5,7,8,3,1,4,6,2]=>[4,2,1,6,8,5,3,7]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[5,7,8,3,1,6,4,2]=>[4,2,1,6,8,3,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[5,7,8,3,1,6,2,4]=>[4,2,1,6,8,3,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[4,7,3,8,1,6,2,5]=>[5,2,6,1,8,3,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[4,7,3,8,1,6,5,2]=>[5,2,6,1,8,3,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,7,3,8,1,5,6,2]=>[5,2,6,1,8,4,3,7]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[4,6,3,8,2,1,7,5]=>[5,3,6,1,7,8,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,5,3,2,8,1,7,6]=>[5,4,6,7,1,8,2,3]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[4,5,2,3,8,1,7,6]=>[5,4,7,6,1,8,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[3,2,5,4,8,1,7,6]=>[6,7,4,5,1,8,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[4,5,3,2,8,1,6,7]=>[5,4,6,7,1,8,3,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[4,6,3,8,2,1,5,7]=>[5,3,6,1,7,8,4,2]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[4,7,3,8,1,5,2,6]=>[5,2,6,1,8,4,7,3]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[4,7,3,8,1,2,6,5]=>[5,2,6,1,8,7,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[4,7,3,8,1,2,5,6]=>[5,2,6,1,8,7,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[5,7,8,3,1,2,4,6]=>[4,2,1,6,8,7,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[5,7,8,3,1,2,6,4]=>[4,2,1,6,8,7,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[5,7,8,3,1,4,2,6]=>[4,2,1,6,8,5,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[5,6,8,3,2,1,4,7]=>[4,3,1,6,7,8,5,2]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[3,2,7,8,1,5,4,6]=>[6,7,2,1,8,4,5,3]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[5,7,8,2,1,4,3,6]=>[4,2,1,7,8,5,6,3]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[6,7,8,1,3,4,2,5]=>[3,2,1,8,6,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,7,8,1,4,3,2,5]=>[3,2,1,8,5,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[6,7,8,1,4,2,5,3]=>[3,2,1,8,5,7,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[6,7,8,1,4,2,3,5]=>[3,2,1,8,5,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[6,7,8,1,2,5,3,4]=>[3,2,1,8,7,4,6,5]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,7,8,1,2,5,4,3]=>[3,2,1,8,7,4,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,7,8,1,2,4,5,3]=>[3,2,1,8,7,5,4,6]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[6,7,8,1,3,2,5,4]=>[3,2,1,8,6,7,4,5]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[5,7,8,2,1,3,6,4]=>[4,2,1,7,8,6,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[3,2,7,8,1,4,6,5]=>[6,7,2,1,8,5,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[6,7,8,1,3,2,4,5]=>[3,2,1,8,6,7,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[6,7,8,1,2,4,3,5]=>[3,2,1,8,7,5,6,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,7,8,1,2,3,5,4]=>[3,2,1,8,7,6,4,5]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[7,2,8,5,1,6,4,3]=>[2,7,1,4,8,3,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[1,3,7,5,2,6,4,8]=>[8,6,2,4,7,3,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[1,3,7,5,4,2,6,8]=>[8,6,2,4,5,7,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[7,2,8,5,4,1,6,3]=>[2,7,1,4,5,8,3,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[2,8,5,4,3,1,7,6]=>[7,1,4,5,6,8,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,8,4,5,6,1,7,3]=>[7,1,5,4,3,8,2,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[2,8,6,5,7,3,1,4]=>[7,1,3,4,2,6,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,8,4,5,3,7,1,6]=>[7,1,5,4,6,2,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,8,4,3,5,6,1,7]=>[7,1,5,6,4,3,8,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[1,6,3,7,5,2,4,8]=>[8,3,6,2,4,7,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[6,3,2,8,5,1,4,7]=>[3,6,7,1,4,8,5,2]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,4,8,2,5,6,3,1]=>[2,5,1,7,4,3,6,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[7,4,8,5,2,1,3,6]=>[2,5,1,4,7,8,6,3]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,4,8,5,1,3,7,2]=>[3,5,1,4,8,6,2,7]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[6,3,7,5,2,1,8,4]=>[3,6,2,4,7,8,1,5]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[4,3,7,5,1,2,8,6]=>[5,6,2,4,8,7,1,3]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[4,3,7,1,5,6,8,2]=>[5,6,2,8,4,3,1,7]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[3,6,1,7,5,2,8,4]=>[6,3,8,2,4,7,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[3,4,1,2,7,6,8,5]=>[6,5,8,7,2,3,1,4]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,4,2,1,7,5,8,6]=>[6,5,7,8,2,4,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[3,6,5,7,1,4,8,2]=>[6,3,4,2,8,5,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[6,5,2,7,4,1,8,3]=>[3,4,7,2,5,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[3,5,2,6,4,8,7,1]=>[6,4,7,3,5,1,2,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[5,3,1,8,6,4,7,2]=>[4,6,8,1,3,5,2,7]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[5,6,1,8,7,2,4,3]=>[4,3,8,1,2,7,5,6]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[6,3,5,8,2,7,4,1]=>[3,6,4,1,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[6,5,8,4,2,3,7,1]=>[3,4,1,5,7,6,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[6,2,5,8,3,7,1,4]=>[3,7,4,1,6,2,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,6,5,7,3,4,2,8]=>[8,3,4,2,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,5,2,7,4,6,3,8]=>[8,4,7,2,5,3,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[5,2,1,8,7,6,3,4]=>[4,7,8,1,2,3,6,5]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[7,1,3,8,4,6,2,5]=>[2,8,6,1,5,3,7,4]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[2,3,4,8,6,1,7,5]=>[7,6,5,1,3,8,2,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,3,4,8,6,5,1,7]=>[7,6,5,1,3,4,8,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[2,7,3,5,8,6,1,4]=>[7,2,6,4,1,3,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[3,2,4,7,8,6,1,5]=>[6,7,5,2,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[1,5,4,6,2,7,3,8]=>[8,4,5,3,7,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[5,2,4,7,1,8,3,6]=>[4,7,5,2,8,1,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[5,3,6,4,1,8,7,2]=>[4,6,3,5,8,1,2,7]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[5,3,6,1,4,8,2,7]=>[4,6,3,8,5,1,7,2]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[7,3,5,6,8,4,2,1]=>[2,6,4,3,1,5,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[6,3,5,1,8,2,7,4]=>[3,6,4,8,1,7,2,5]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[2,6,1,5,8,4,7,3]=>[7,3,8,4,1,5,2,6]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[2,7,6,5,8,3,4,1]=>[7,2,3,4,1,6,5,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[5,7,1,6,3,8,4,2]=>[4,2,8,3,6,1,5,7]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[3,2,4,1,7,8,5,6]=>[6,7,5,8,2,1,4,3]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[3,1,4,2,7,8,6,5]=>[6,8,5,7,2,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[5,1,4,7,2,8,6,3]=>[4,8,5,2,7,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[3,6,4,7,8,2,5,1]=>[6,3,5,2,1,7,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[3,1,4,6,8,5,7,2]=>[6,8,5,3,1,4,2,7]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[6,3,4,5,7,1,8,2]=>[3,6,5,4,2,8,1,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[2,5,4,6,1,7,8,3]=>[7,4,5,3,8,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[7,2,1,4,3,6,5,8]=>[2,7,8,5,6,3,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[7,3,4,1,2,6,5,8]=>[2,6,5,8,7,3,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[7,4,3,2,1,6,5,8]=>[2,5,6,7,8,3,4,1]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,6,3,2,5,4,1,8]=>[2,3,6,7,4,5,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[6,7,3,2,5,4,8,1]=>[3,2,6,7,4,5,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[1,8,3,2,5,4,7,6]=>[8,1,6,7,4,5,2,3]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[1,8,4,5,2,3,7,6]=>[8,1,5,4,7,6,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[7,3,5,1,6,2,4,8]=>[2,6,4,8,3,7,5,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[7,2,1,5,6,3,4,8]=>[2,7,8,4,3,6,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[7,2,1,6,5,4,3,8]=>[2,7,8,3,4,5,6,1]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[7,3,6,1,5,4,2,8]=>[2,6,3,8,4,5,7,1]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[7,4,6,5,1,3,2,8]=>[2,5,3,4,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,8,5,4,3,2,7,6]=>[8,1,4,5,6,7,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,8,6,4,3,7,2,5]=>[8,1,3,5,6,2,7,4]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[6,5,7,4,3,1,8,2]=>[3,4,2,5,6,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[6,4,7,5,1,3,8,2]=>[3,5,2,4,8,6,1,7]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[6,3,7,1,5,4,8,2]=>[3,6,2,8,4,5,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,2,1,7,5,4,8,3]=>[3,7,8,2,4,5,1,6]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,2,1,8,5,4,7,6]=>[6,7,8,1,4,5,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[2,3,8,1,5,4,7,6]=>[7,6,1,8,4,5,2,3]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[2,4,8,5,1,3,7,6]=>[7,5,1,4,8,6,2,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[2,5,8,4,3,1,7,6]=>[7,4,1,5,6,8,2,3]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[2,6,8,4,3,7,1,5]=>[7,3,1,5,6,2,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[2,7,8,4,3,6,5,1]=>[7,2,1,5,6,3,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[1,8,7,4,3,6,5,2]=>[8,1,2,5,6,3,4,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[1,8,7,5,6,3,4,2]=>[8,1,2,4,3,6,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[2,7,8,5,6,3,4,1]=>[7,2,1,4,3,6,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[2,6,8,5,7,3,1,4]=>[7,3,1,4,2,6,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,5,8,6,7,1,3,4]=>[7,4,1,3,2,8,6,5]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[2,4,8,6,1,7,3,5]=>[7,5,1,3,8,2,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[3,2,1,8,6,7,4,5]=>[6,7,8,1,3,2,5,4]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[5,2,1,7,6,8,4,3]=>[4,7,8,2,3,1,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,3,7,1,6,8,4,2]=>[4,6,2,8,3,1,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[5,4,7,6,1,8,3,2]=>[4,5,2,3,8,1,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[4,5,7,6,8,1,3,2]=>[5,4,2,3,1,8,6,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[4,6,7,5,8,3,1,2]=>[5,3,2,4,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[1,8,6,5,7,3,2,4]=>[8,1,3,4,2,6,7,5]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[1,8,5,6,7,2,3,4]=>[8,1,4,3,2,7,6,5]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[4,7,5,6,8,2,3,1]=>[5,2,4,3,1,7,6,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[4,6,5,7,8,2,1,3]=>[5,3,4,2,1,7,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,4,6,7,1,8,2,3]=>[4,5,3,2,8,1,7,6]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[5,3,6,1,7,8,2,4]=>[4,6,3,8,2,1,7,5]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[5,2,1,6,7,8,3,4]=>[4,7,8,3,2,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,2,1,5,7,3,8,4]=>[3,7,8,4,2,6,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[6,3,5,1,7,2,8,4]=>[3,6,4,8,2,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[6,4,5,7,1,2,8,3]=>[3,5,4,2,8,7,1,6]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[6,5,4,7,2,1,8,3]=>[3,4,5,2,7,8,1,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[5,6,4,7,2,8,1,3]=>[4,3,5,2,7,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,8,4,6,2,7,3,5]=>[8,1,5,3,7,2,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,8,3,2,6,7,4,5]=>[8,1,6,7,3,2,5,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,7,3,2,6,8,4,1]=>[4,2,6,7,3,1,5,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[5,6,3,2,7,8,1,4]=>[4,3,6,7,2,1,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[6,5,3,2,7,1,8,4]=>[3,4,6,7,2,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[6,4,3,2,1,7,8,5]=>[3,5,6,7,8,2,1,4]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,2,1,4,3,7,8,5]=>[3,7,8,5,6,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[5,2,1,4,3,8,7,6]=>[4,7,8,5,6,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[5,3,4,1,2,8,7,6]=>[4,6,5,8,7,1,2,3]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[4,6,3,2,8,7,1,5]=>[5,3,6,7,1,2,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[4,7,3,2,8,6,5,1]=>[5,2,6,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[1,8,3,2,7,6,5,4]=>[8,1,6,7,2,3,4,5]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[1,8,4,7,2,6,5,3]=>[8,1,5,2,7,3,4,6]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[3,7,4,8,2,6,5,1]=>[6,2,5,1,7,3,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,6,4,8,2,7,1,5]=>[6,3,5,1,7,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,5,4,8,2,1,7,6]=>[6,4,5,1,7,8,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[3,4,5,8,1,2,7,6]=>[6,5,4,1,8,7,2,3]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,3,5,1,8,2,7,6]=>[5,6,4,8,1,7,2,3]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[4,2,1,5,8,3,7,6]=>[5,7,8,4,1,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[4,2,1,6,8,7,3,5]=>[5,7,8,3,1,2,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[4,3,6,1,8,7,2,5]=>[5,6,3,8,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[3,4,6,8,1,7,2,5]=>[6,5,3,1,8,2,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[3,5,6,8,7,1,2,4]=>[6,4,3,1,2,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,6,5,8,7,2,1,4]=>[6,3,4,1,2,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[3,7,5,8,6,2,4,1]=>[6,2,4,1,3,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[1,8,5,7,6,2,4,3]=>[8,1,4,2,3,7,5,6]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[1,8,6,7,5,4,2,3]=>[8,1,3,2,4,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[3,6,7,8,5,4,1,2]=>[6,3,2,1,4,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[3,5,7,8,6,1,4,2]=>[6,4,2,1,3,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[3,4,7,8,1,6,5,2]=>[6,5,2,1,8,3,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,2,1,7,8,6,5,3]=>[5,7,8,2,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[2,3,8,1,7,6,5,4]=>[7,6,1,8,2,3,4,5]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[2,4,8,7,1,6,5,3]=>[7,5,1,2,8,3,4,6]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[2,5,8,7,6,1,4,3]=>[7,4,1,2,3,8,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[2,6,8,7,5,4,1,3]=>[7,3,1,2,4,5,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[2,1,4,3,8,7,6,5,12,11,10,9]=>[11,12,9,10,5,6,7,8,1,2,3,4]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>[3,2,4,3]
[2,1,6,5,4,3,12,11,10,9,8,7]=>[11,12,7,8,9,10,1,2,3,4,5,6]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>[3,4,5]
[4,3,2,1,8,7,6,5,10,9,12,11]=>[9,10,11,12,5,6,7,8,3,4,1,2]=>[[1,2,3,4],[5,6,7,8],[9,10],[11,12]]=>[5,4,2,1]
[6,5,4,3,2,1,10,9,8,7,12,11]=>[7,8,9,10,11,12,3,4,5,6,1,2]=>[[1,2,3,4,5,6],[7,8,9,10],[11,12]]=>[7,4,1]
[6,5,4,3,2,1,12,11,10,9,8,7]=>[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]
[12,11,4,3,10,9,8,7,6,5,2,1]=>[1,2,9,10,3,4,5,6,7,8,11,12]=>[[1,2,3,4,7,8,9,10,11,12],[5,6]]=>[5,7]
[12,11,10,5,4,9,8,7,6,3,2,1]=>[1,2,3,8,9,4,5,6,7,10,11,12]=>[[1,2,3,4,5,8,9,10,11,12],[6,7]]=>[6,6]
[12,11,8,7,6,5,4,3,10,9,2,1]=>[1,2,5,6,7,8,9,10,3,4,11,12]=>[[1,2,3,4,5,6,7,8,11,12],[9,10]]=>[9,3]
[12,11,10,7,6,5,4,9,8,3,2,1]=>[1,2,3,6,7,8,9,4,5,10,11,12]=>[[1,2,3,4,5,6,7,10,11,12],[8,9]]=>[8,4]
[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[[1,2,3,4,5,6,9,10,11,12],[7,8]]=>[7,5]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[[1,2,3,4,5,6,7,8,9,10,11,12]]=>[12]
[7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[8,3,5,1,7,4,6,2]=>[1,6,4,8,2,5,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[8,3,4,1,7,5,6,2]=>[1,6,5,8,2,4,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,8,3,1,7,5,6,2]=>[5,1,6,8,2,4,3,7]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[4,6,2,1,7,5,8,3]=>[5,3,7,8,2,4,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[1,4,6,2,7,5,8,3]=>[8,5,3,7,2,4,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,7,5,2,6,8,4,3]=>[8,2,4,7,3,1,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[7,5,2,1,6,8,4,3]=>[2,4,7,8,3,1,5,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,8,4,3,1,7,5,2]=>[3,1,5,6,8,2,4,7]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[3,6,8,4,1,7,5,2]=>[6,3,1,5,8,2,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,6,7,5,1,8,4,2]=>[6,3,2,4,8,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[7,5,6,1,8,3,4,2]=>[2,4,3,8,1,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[3,4,6,5,7,1,8,2]=>[6,5,3,4,2,8,1,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[4,7,5,6,1,8,3,2]=>[5,2,4,3,8,1,6,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,7,5,1,8,4,3,2]=>[3,2,4,8,1,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[6,8,4,1,7,5,3,2]=>[3,1,5,8,2,4,6,7]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,7,5,3,1,8,4,2]=>[3,2,4,6,8,1,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[8,4,2,1,6,7,5,3]=>[1,5,7,8,3,2,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,8,4,2,6,7,5,3]=>[8,1,5,7,3,2,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,5,3,2,7,6,8,4]=>[8,4,6,7,2,3,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[5,3,2,1,7,6,8,4]=>[4,6,7,8,2,3,1,5]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[2,5,3,1,7,6,8,4]=>[7,4,6,8,2,3,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[2,8,4,1,6,7,5,3]=>[7,1,5,8,3,2,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,7,5,1,6,8,4,3]=>[7,2,4,8,3,1,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,4,6,1,7,5,8,3]=>[7,5,3,8,2,4,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[4,7,1,6,5,8,2,3]=>[5,2,8,3,4,1,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,8,2,6,5,7,1,3]=>[5,1,7,3,4,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,6,1,2,7,5,8,3]=>[5,3,8,7,2,4,1,6]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[7,5,1,2,6,8,4,3]=>[2,4,8,7,3,1,5,6]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[8,4,1,2,6,7,5,3]=>[1,5,8,7,3,2,4,6]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[5,3,1,2,7,6,8,4]=>[4,6,8,7,2,3,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[1,2,5,3,7,6,8,4]=>[8,7,4,6,2,3,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[4,3,1,2,7,6,8,5]=>[5,6,8,7,2,3,1,4]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[3,5,1,2,7,6,8,4]=>[6,4,8,7,2,3,1,5]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,7,1,5,8,2,3,4]=>[3,2,8,4,1,7,6,5]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,7,6,1,5,8,3,4]=>[7,2,3,8,4,1,6,5]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,3,5,1,7,6,8,4]=>[7,6,4,8,2,3,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[7,6,1,5,8,3,2,4]=>[2,3,8,4,1,6,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[3,6,7,1,5,8,2,4]=>[6,3,2,8,4,1,7,5]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[7,1,6,5,8,2,4,3]=>[2,8,3,4,1,7,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,5,1,6,8,4,2,3]=>[2,4,8,3,1,5,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,4,1,6,7,5,2,3]=>[1,5,8,3,2,4,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,2,3,1,7,6,8,4]=>[4,7,6,8,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[3,5,2,1,7,6,8,4]=>[6,4,7,8,2,3,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[1,3,5,2,7,6,8,4]=>[8,6,4,7,2,3,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,7,6,2,5,8,3,4]=>[8,2,3,7,4,1,6,5]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[7,6,2,1,5,8,3,4]=>[2,3,7,8,4,1,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[8,3,1,5,7,6,2,4]=>[1,6,8,4,2,3,7,5]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[6,2,4,1,7,5,8,3]=>[3,7,5,8,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[6,2,5,1,7,4,8,3]=>[3,7,4,8,2,5,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,1,6,4,8,2,5,3]=>[2,8,3,5,1,7,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[8,2,6,4,7,1,5,3]=>[1,7,3,5,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[6,1,5,2,7,4,8,3]=>[3,8,4,7,2,5,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,6,2,5,8,3,1,4]=>[2,3,7,4,1,6,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,3,5,7,6,2,1,4]=>[1,6,4,2,3,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[1,8,3,5,7,6,2,4]=>[8,1,6,4,2,3,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[1,5,2,3,7,6,8,4]=>[8,4,7,6,2,3,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[5,2,1,3,7,6,8,4]=>[4,7,8,6,2,3,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,5,2,6,8,4,1,3]=>[2,4,7,3,1,5,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,4,2,6,7,5,1,3]=>[1,5,7,3,2,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[6,1,4,2,7,5,8,3]=>[3,8,5,7,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[8,2,6,5,7,1,4,3]=>[1,7,3,4,2,8,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[3,6,8,2,5,7,1,4]=>[6,3,1,7,4,2,8,5]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[8,3,2,5,7,6,1,4]=>[1,6,7,4,2,3,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,1,3,2,7,6,8,4]=>[4,8,6,7,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,1,3,2,7,6,8,5]=>[5,8,6,7,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,2,1,3,7,6,8,5]=>[5,7,8,6,2,3,1,4]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[1,4,2,3,7,6,8,5]=>[8,5,7,6,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,4,1,3,7,6,8,5]=>[7,5,8,6,2,3,1,4]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[2,5,1,3,7,6,8,4]=>[7,4,8,6,2,3,1,5]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[2,8,3,5,7,6,1,4]=>[7,1,6,4,2,3,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[6,8,2,3,5,7,1,4]=>[3,1,7,6,4,2,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,7,1,3,5,8,2,4]=>[3,2,8,6,4,1,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[8,3,5,7,6,1,2,4]=>[1,6,4,2,3,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[5,1,2,3,7,6,8,4]=>[4,8,7,6,2,3,1,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[3,1,2,4,7,6,8,5]=>[6,8,7,5,2,3,1,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[10,8,9,5,6,7,1,2,3,4]=>[1,3,2,6,5,4,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[10,8,9,4,5,6,1,2,3,7]=>[1,3,2,7,6,5,10,9,8,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[10,7,8,5,6,9,1,2,3,4]=>[1,4,3,6,5,2,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[10,7,8,4,5,9,1,2,3,6]=>[1,4,3,7,6,2,10,9,8,5]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[10,6,7,4,5,8,1,2,3,9]=>[1,5,4,7,6,3,10,9,8,2]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[10,7,8,3,4,9,1,2,5,6]=>[1,4,3,8,7,2,10,9,6,5]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[10,6,7,3,4,8,1,2,5,9]=>[1,5,4,8,7,3,10,9,6,2]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,8,10,5,6,7,1,2,3,4]=>[2,3,1,6,5,4,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,8,10,4,5,6,1,2,3,7]=>[2,3,1,7,6,5,10,9,8,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,7,10,5,6,8,1,2,3,4]=>[2,4,1,6,5,3,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,7,10,4,5,8,1,2,3,6]=>[2,4,1,7,6,3,10,9,8,5]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,6,10,4,5,7,1,2,3,8]=>[2,5,1,7,6,4,10,9,8,3]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,7,10,3,4,8,1,2,5,6]=>[2,4,1,8,7,3,10,9,6,5]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,6,10,3,4,7,1,2,5,8]=>[2,5,1,8,7,4,10,9,6,3]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,7,9,5,6,10,1,2,3,4]=>[3,4,2,6,5,1,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,7,9,4,5,10,1,2,3,6]=>[3,4,2,7,6,1,10,9,8,5]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,6,9,4,5,10,1,2,3,7]=>[3,5,2,7,6,1,10,9,8,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[7,6,8,4,5,9,1,2,3,10]=>[4,5,3,7,6,2,10,9,8,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,7,9,3,4,10,1,2,5,6]=>[3,4,2,8,7,1,10,9,6,5]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,6,9,3,4,10,1,2,5,7]=>[3,5,2,8,7,1,10,9,6,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[7,6,8,3,4,9,1,2,5,10]=>[4,5,3,8,7,2,10,9,6,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,6,10,5,7,8,1,2,3,4]=>[2,5,1,6,4,3,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,6,10,4,7,8,1,2,3,5]=>[2,5,1,7,4,3,10,9,8,6]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,5,10,4,6,7,1,2,3,8]=>[2,6,1,7,5,4,10,9,8,3]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,6,10,3,7,8,1,2,4,5]=>[2,5,1,8,4,3,10,9,7,6]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,5,10,3,6,7,1,2,4,8]=>[2,6,1,8,5,4,10,9,7,3]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,6,9,5,7,10,1,2,3,4]=>[3,5,2,6,4,1,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,6,9,4,7,10,1,2,3,5]=>[3,5,2,7,4,1,10,9,8,6]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,5,9,4,6,10,1,2,3,7]=>[3,6,2,7,5,1,10,9,8,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[7,5,8,4,6,9,1,2,3,10]=>[4,6,3,7,5,2,10,9,8,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,6,9,3,7,10,1,2,4,5]=>[3,5,2,8,4,1,10,9,7,6]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,5,9,3,6,10,1,2,4,7]=>[3,6,2,8,5,1,10,9,7,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[7,5,8,3,6,9,1,2,4,10]=>[4,6,3,8,5,2,10,9,7,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,4,9,3,5,10,1,2,6,7]=>[3,7,2,8,6,1,10,9,5,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[7,4,8,3,5,9,1,2,6,10]=>[4,7,3,8,6,2,10,9,5,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,6,10,2,7,8,1,3,4,5]=>[2,5,1,9,4,3,10,8,7,6]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[9,5,10,2,6,7,1,3,4,8]=>[2,6,1,9,5,4,10,8,7,3]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,6,9,2,7,10,1,3,4,5]=>[3,5,2,9,4,1,10,8,7,6]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,5,9,2,6,10,1,3,4,7]=>[3,6,2,9,5,1,10,8,7,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[7,5,8,2,6,9,1,3,4,10]=>[4,6,3,9,5,2,10,8,7,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,4,9,2,5,10,1,3,6,7]=>[3,7,2,9,6,1,10,8,5,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[7,4,8,2,5,9,1,3,6,10]=>[4,7,3,9,6,2,10,8,5,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[8,1,2,4,3,6,5,7]=>[1,8,7,5,6,3,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[8,1,3,5,6,2,7,4]=>[1,8,6,4,3,7,2,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[8,1,3,4,2,6,7,5]=>[1,8,6,5,7,3,2,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[8,1,3,2,4,5,7,6]=>[1,8,6,7,5,4,2,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[2,7,8,3,4,5,6,1]=>[7,2,1,6,5,4,3,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[2,6,3,8,4,5,7,1]=>[7,3,6,1,5,4,2,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[6,3,2,1,4,5,8,7]=>[3,6,7,8,5,4,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,3,1,4,2,6,8,5]=>[2,6,8,5,7,3,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,4,1,5,6,8,2,3]=>[2,5,8,4,3,1,7,6]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[3,7,8,5,6,2,1,4]=>[6,2,1,4,3,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,7,8,4,2,6,1,5]=>[6,2,1,5,7,3,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[3,7,8,2,4,5,1,6]=>[6,2,1,7,5,4,8,3]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[3,6,2,8,4,5,1,7]=>[6,3,7,1,5,4,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,3,6,7,4,5,8,1]=>[7,6,3,2,5,4,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[3,5,2,4,8,6,1,7]=>[6,4,7,5,1,3,8,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[3,5,4,2,8,7,1,6]=>[6,4,5,7,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,6,4,8,3,7,5,1]=>[7,3,5,1,6,2,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,6,5,8,7,3,4,1]=>[7,3,4,1,2,6,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,5,2,1,8,3,4,7]=>[3,4,7,8,1,6,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[2,5,6,7,8,3,4,1]=>[7,4,3,2,1,6,5,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[2,4,6,7,3,8,5,1]=>[7,5,3,2,6,1,4,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,2,6,7,3,1,5,8]=>[5,7,3,2,6,8,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,7,8,3,2,1,6,5]=>[5,2,1,6,7,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[5,6,4,8,1,7,2,3]=>[4,3,5,1,8,2,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[4,2,5,3,7,1,6,8]=>[5,7,4,6,2,8,3,1]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[4,3,6,7,2,1,8,5]=>[5,6,3,2,7,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,4,6,7,2,8,1,5]=>[6,5,3,2,7,1,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,4,5,2,7,8,1,6]=>[6,5,4,7,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[3,4,2,5,6,8,1,7]=>[6,5,7,4,3,1,8,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[5,2,7,8,6,4,1,3]=>[4,7,2,1,3,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[5,1,2,7,8,6,4,3]=>[4,8,7,2,1,3,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[4,7,1,8,6,5,2,3]=>[5,2,8,1,3,4,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[4,7,1,2,8,6,5,3]=>[5,2,8,7,1,3,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[4,6,8,1,2,7,5,3]=>[5,3,1,8,7,2,4,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,8,7,1,5,3,2,4]=>[3,1,2,8,4,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[6,8,7,3,5,1,2,4]=>[3,1,2,6,4,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[7,8,1,6,3,5,2,4]=>[2,1,8,3,6,4,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[7,8,1,3,6,5,2,4]=>[2,1,8,6,3,4,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,8,3,6,5,2,1,4]=>[2,1,6,3,4,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[4,7,2,8,6,1,5,3]=>[5,2,7,1,3,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[1,7,3,4,8,6,5,2]=>[8,2,6,5,1,3,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[4,2,7,1,8,6,5,3]=>[5,7,2,8,1,3,4,6]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[7,8,2,3,6,5,1,4]=>[2,1,7,6,3,4,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[8,5,7,1,6,2,3,4]=>[1,4,2,8,3,7,6,5]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,5,7,1,2,6,3,4]=>[1,4,2,8,7,3,6,5]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,8,2,7,1,3,5,4]=>[3,1,7,2,8,6,4,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[6,8,7,2,5,3,1,4]=>[3,1,2,7,4,6,8,5]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[6,2,4,8,7,1,5,3]=>[3,7,5,1,2,8,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[1,6,8,3,7,4,5,2]=>[8,3,1,6,2,5,4,7]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,6,8,3,4,7,5,2]=>[8,3,1,6,5,2,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,2,4,8,1,7,5,3]=>[3,7,5,1,8,2,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[6,8,7,2,3,5,1,4]=>[3,1,2,7,6,4,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[6,8,2,1,7,3,5,4]=>[3,1,7,8,2,6,4,5]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[8,5,7,2,1,6,3,4]=>[1,4,2,7,8,3,6,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,5,7,1,2,3,6,4]=>[1,4,2,8,7,6,3,5]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,7,6,2,1,4,3,5]=>[1,2,3,7,8,5,6,4]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,5,7,2,3,1,6,4]=>[1,4,2,7,6,8,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,8,4,2,7,1,6,3]=>[4,1,5,7,2,8,3,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[1,8,7,5,3,4,6,2]=>[8,1,2,4,6,5,3,7]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[1,8,7,3,5,4,6,2]=>[8,1,2,6,4,5,3,7]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[8,2,5,4,7,1,6,3]=>[1,7,4,5,2,8,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[8,5,2,7,3,1,6,4]=>[1,4,7,2,6,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,7,6,2,4,3,1,5]=>[1,2,3,7,5,6,8,4]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[8,7,6,1,2,4,3,5]=>[1,2,3,8,7,5,6,4]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[8,7,6,1,4,2,3,5]=>[1,2,3,8,5,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[8,7,6,4,1,3,2,5]=>[1,2,3,5,8,6,7,4]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[5,8,4,7,2,1,6,3]=>[4,1,5,2,7,8,3,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[1,8,7,5,4,3,6,2]=>[8,1,2,4,5,6,3,7]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[1,6,8,4,3,7,5,2]=>[8,3,1,5,6,2,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,8,7,3,2,5,1,4]=>[3,1,2,6,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[6,8,1,7,3,2,5,4]=>[3,1,8,2,6,7,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,5,7,3,1,6,2,4]=>[1,4,2,6,8,3,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,5,7,1,3,2,6,4]=>[1,4,2,8,6,7,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,5,7,3,1,2,6,4]=>[1,4,2,6,8,7,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[5,8,4,7,1,2,6,3]=>[4,1,5,2,8,7,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[5,8,4,1,7,2,6,3]=>[4,1,5,8,2,7,3,6]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[5,8,4,7,1,6,2,3]=>[4,1,5,2,8,3,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[8,1,2,6,5,7,4,3]=>[1,8,7,3,4,2,5,6]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[8,2,5,6,7,4,1,3]=>[1,7,4,3,2,5,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[4,8,5,7,1,6,2,3]=>[5,1,4,2,8,3,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,8,5,7,1,2,6,3]=>[5,1,4,2,8,7,3,6]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[4,8,5,1,7,2,6,3]=>[5,1,4,8,2,7,3,6]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[8,5,3,1,7,2,6,4]=>[1,4,6,8,2,7,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,5,3,7,1,2,6,4]=>[1,4,6,2,8,7,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,8,1,3,7,2,5,4]=>[3,1,8,6,2,7,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,6,2,8,1,7,5,3]=>[5,3,7,1,8,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,6,4,8,3,7,5,2]=>[8,3,5,1,6,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,8,7,4,5,3,6,2]=>[8,1,2,5,4,6,3,7]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[4,8,5,7,2,1,6,3]=>[5,1,4,2,7,8,3,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[8,5,3,7,2,1,6,4]=>[1,4,6,2,7,8,3,5]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[8,7,6,3,1,4,2,5]=>[1,2,3,6,8,5,7,4]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,7,6,1,3,2,4,5]=>[1,2,3,8,6,7,5,4]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[8,5,3,2,7,1,6,4]=>[1,4,6,7,2,8,3,5]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[4,8,5,2,7,1,6,3]=>[5,1,4,7,2,8,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[1,8,7,4,3,5,6,2]=>[8,1,2,5,6,4,3,7]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[1,8,7,3,4,5,6,2]=>[8,1,2,6,5,4,3,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[8,2,4,5,7,1,6,3]=>[1,7,5,4,2,8,3,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[8,5,2,3,7,1,6,4]=>[1,4,7,6,2,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[6,3,1,5,4,2,8,7]=>[3,6,8,4,5,7,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[8,3,1,5,2,7,6,4]=>[1,6,8,4,7,2,3,5]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[8,5,4,2,1,7,3,6]=>[1,4,5,7,8,2,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,5,4,2,1,7,6,3]=>[1,4,5,7,8,2,3,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,5,4,2,1,3,8,7]=>[3,4,5,7,8,6,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,5,4,2,3,1,8,7]=>[3,4,5,7,6,8,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[6,3,2,5,1,4,8,7]=>[3,6,7,4,8,5,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[6,5,4,3,1,2,8,7]=>[3,4,5,6,8,7,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,5,4,1,3,2,8,7]=>[3,4,5,8,6,7,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,5,4,1,2,7,6,3]=>[1,4,5,8,7,2,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,7,4,1,6,3,2,5]=>[1,2,5,8,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,7,4,1,6,3,5,2]=>[1,2,5,8,3,6,4,7]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[8,7,4,1,6,5,3,2]=>[1,2,5,8,3,4,6,7]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[8,5,4,1,3,7,6,2]=>[1,4,5,8,6,2,3,7]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[8,5,4,3,1,7,6,2]=>[1,4,5,6,8,2,3,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[8,3,2,5,1,7,6,4]=>[1,6,7,4,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[2,1,8,5,3,7,6,4]=>[7,8,1,4,6,2,3,5]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[8,3,2,5,1,7,4,6]=>[1,6,7,4,8,2,5,3]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,5,4,3,1,7,2,6]=>[1,4,5,6,8,2,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,5,4,1,3,7,2,6]=>[1,4,5,8,6,2,7,3]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,7,4,1,6,5,2,3]=>[1,2,5,8,3,4,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,7,4,1,6,2,5,3]=>[1,2,5,8,3,7,4,6]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[8,7,6,5,2,1,4,3]=>[1,2,3,4,7,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[8,7,4,3,6,2,1,5]=>[1,2,5,6,3,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[8,3,2,7,6,4,1,5]=>[1,6,7,2,3,5,8,4]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[2,1,8,7,6,4,3,5]=>[7,8,1,2,3,5,6,4]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[2,1,8,7,6,4,5,3]=>[7,8,1,2,3,5,4,6]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[8,3,2,7,6,4,5,1]=>[1,6,7,2,3,5,4,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[8,7,4,3,6,2,5,1]=>[1,2,5,6,3,7,4,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[8,7,6,5,2,4,3,1]=>[1,2,3,4,7,5,6,8]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[8,5,4,2,3,7,6,1]=>[1,4,5,7,6,2,3,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[8,7,4,2,6,5,3,1]=>[1,2,5,7,3,4,6,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[8,7,4,2,6,3,5,1]=>[1,2,5,7,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[8,7,4,2,6,3,1,5]=>[1,2,5,7,3,6,8,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,3,1,7,6,4,2,5]=>[1,6,8,2,3,5,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[8,3,1,7,6,4,5,2]=>[1,6,8,2,3,5,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[8,3,1,7,6,5,4,2]=>[1,6,8,2,3,4,5,7]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[8,3,1,5,4,7,6,2]=>[1,6,8,4,5,2,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[8,3,1,5,4,7,2,6]=>[1,6,8,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[8,3,1,7,6,5,2,4]=>[1,6,8,2,3,4,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[8,3,1,7,6,2,5,4]=>[1,6,8,2,3,7,4,5]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[8,7,4,2,6,1,5,3]=>[1,2,5,7,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[8,7,4,2,6,5,1,3]=>[1,2,5,7,3,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[8,5,4,2,3,7,1,6]=>[1,4,5,7,6,2,8,3]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,3,2,5,4,7,1,6]=>[1,6,7,4,5,2,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[2,1,8,5,4,7,3,6]=>[7,8,1,4,5,2,6,3]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[8,3,2,7,6,5,1,4]=>[1,6,7,2,3,4,8,5]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[8,7,4,3,6,5,1,2]=>[1,2,5,6,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[8,7,6,5,3,1,4,2]=>[1,2,3,4,6,8,5,7]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[8,7,6,5,1,3,2,4]=>[1,2,3,4,8,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[8,7,6,5,1,3,4,2]=>[1,2,3,4,8,6,5,7]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[8,7,6,5,1,4,3,2]=>[1,2,3,4,8,5,6,7]=>[[1,2,3,4,5,7,8],[6]]=>[6,2]
[8,7,6,5,4,1,3,2]=>[1,2,3,4,5,8,6,7]=>[[1,2,3,4,5,6,8],[7]]=>[7,1]
[8,7,4,3,6,1,5,2]=>[1,2,5,6,3,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[8,3,2,7,6,1,5,4]=>[1,6,7,2,3,8,4,5]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[2,1,8,7,6,3,5,4]=>[7,8,1,2,3,6,4,5]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[8,3,2,7,6,1,4,5]=>[1,6,7,2,3,8,5,4]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,7,6,5,1,4,2,3]=>[1,2,3,4,8,5,7,6]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[8,7,6,5,1,2,4,3]=>[1,2,3,4,8,7,5,6]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[7,3,5,1,8,4,6,2]=>[2,6,4,8,1,5,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[7,3,4,1,8,5,6,2]=>[2,6,5,8,1,4,3,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,5,6,2,1,8,7,3]=>[5,4,3,7,8,1,2,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,6,5,2,7,4,3,8]=>[8,3,4,7,2,5,6,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[7,4,3,1,8,6,5,2]=>[2,5,6,8,1,3,4,7]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[7,6,4,1,8,5,3,2]=>[2,3,5,8,1,4,6,7]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[1,6,4,2,7,5,3,8]=>[8,3,5,7,2,4,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[1,5,3,2,7,6,4,8]=>[8,4,6,7,2,3,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[2,5,3,1,7,8,6,4]=>[7,4,6,8,2,1,3,5]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,6,4,1,7,8,5,3]=>[7,3,5,8,2,1,4,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,6,5,1,7,8,4,3]=>[7,3,4,8,2,1,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[4,5,7,1,6,8,2,3]=>[5,4,2,8,3,1,7,6]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[6,5,1,2,8,4,3,7]=>[3,4,8,7,1,5,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[6,4,1,2,8,5,3,7]=>[3,5,8,7,1,4,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[5,3,1,2,8,6,4,7]=>[4,6,8,7,1,3,5,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[4,3,1,2,8,6,5,7]=>[5,6,8,7,1,3,4,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[6,1,2,5,8,3,4,7]=>[3,8,7,4,1,6,5,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[7,1,3,4,8,2,5,6]=>[2,8,6,5,1,7,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[7,1,5,6,8,2,3,4]=>[2,8,4,3,1,7,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[2,6,1,5,7,8,3,4]=>[7,3,8,4,2,1,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[7,4,1,6,8,5,2,3]=>[2,5,8,3,1,4,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[3,5,2,1,6,8,7,4]=>[6,4,7,8,3,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[1,6,2,5,7,3,4,8]=>[8,3,7,4,2,6,5,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[6,2,1,5,8,7,3,4]=>[3,7,8,4,1,2,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[7,3,1,5,8,6,2,4]=>[2,6,8,4,1,3,7,5]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[6,2,4,1,8,5,7,3]=>[3,7,5,8,1,4,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[6,2,5,1,8,4,7,3]=>[3,7,4,8,1,5,2,6]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[7,3,1,4,8,6,2,5]=>[2,6,8,5,1,3,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[6,2,1,4,8,7,3,5]=>[3,7,8,5,1,2,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[1,6,2,4,7,3,5,8]=>[8,3,7,5,2,6,4,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[5,2,1,3,8,7,4,6]=>[4,7,8,6,1,2,5,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[7,4,1,3,8,5,2,6]=>[2,5,8,6,1,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[7,5,1,3,8,4,2,6]=>[2,4,8,6,1,5,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[3,6,7,1,4,8,2,5]=>[6,3,2,8,5,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[7,6,1,4,8,3,2,5]=>[2,3,8,5,1,6,7,4]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[4,2,1,3,8,7,5,6]=>[5,7,8,6,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[2,6,1,4,7,8,3,5]=>[7,3,8,5,2,1,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[7,1,4,6,8,2,3,5]=>[2,8,5,3,1,7,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[7,1,3,5,8,2,4,6]=>[2,8,6,4,1,7,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[6,1,2,4,8,3,5,7]=>[3,8,7,5,1,6,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[5,2,3,1,6,4,8,7]=>[4,7,6,8,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[7,4,5,2,3,1,8,6]=>[2,5,4,7,6,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[8,6,7,3,5,2,4,1]=>[1,3,2,6,4,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[7,3,5,2,4,1,8,6]=>[2,6,4,7,5,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[6,3,5,2,4,1,8,7]=>[3,6,4,7,5,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[5,2,4,1,6,3,8,7]=>[4,7,5,8,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,1,6,3,5,2,8,7]=>[5,8,3,6,4,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[6,3,4,1,5,2,8,7]=>[3,6,5,8,4,7,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,2,6,3,4,1,8,7]=>[4,7,3,6,5,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,2,7,3,4,1,8,6]=>[4,7,2,6,5,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,2,8,6,7,3,4,1]=>[4,7,1,3,2,6,5,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[6,2,8,5,7,3,4,1]=>[3,7,1,4,2,6,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[6,2,7,3,4,1,8,5]=>[3,7,2,6,5,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,3,4,1,5,2,8,6]=>[2,6,5,8,4,7,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,1,7,3,5,2,8,6]=>[5,8,2,6,4,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,7,4,5,2,8,6]=>[6,8,2,5,4,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[2,1,7,4,5,3,8,6]=>[7,8,2,5,4,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,8,6,7,4,5,2]=>[6,8,1,3,2,5,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[4,1,8,6,7,3,5,2]=>[5,8,1,3,2,6,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[8,6,7,3,4,1,5,2]=>[1,3,2,6,5,8,4,7]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,5,7,3,4,1,6,2]=>[1,4,2,6,5,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[8,4,7,3,5,1,6,2]=>[1,5,2,6,4,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,1,8,4,7,3,6,2]=>[4,8,1,5,2,6,3,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[4,1,8,5,7,3,6,2]=>[5,8,1,4,2,6,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[3,1,8,5,7,4,6,2]=>[6,8,1,4,2,5,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[2,1,8,5,7,4,6,3]=>[7,8,1,4,2,5,3,6]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[2,1,7,4,6,3,8,5]=>[7,8,2,5,3,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,7,4,6,2,8,5]=>[6,8,2,5,3,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,1,7,3,6,2,8,5]=>[5,8,2,6,3,7,1,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[5,1,7,3,6,2,8,4]=>[4,8,2,6,3,7,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[6,2,7,3,5,1,8,4]=>[3,7,2,6,4,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[6,2,8,4,7,3,5,1]=>[3,7,1,5,2,6,4,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[7,3,6,2,5,1,8,4]=>[2,6,3,7,4,8,1,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[6,2,5,1,7,3,8,4]=>[3,7,4,8,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,2,4,1,7,3,8,6]=>[4,7,5,8,2,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[6,2,4,1,7,3,8,5]=>[3,7,5,8,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[8,5,7,4,6,2,3,1]=>[1,4,2,5,3,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[7,4,6,2,3,1,8,5]=>[2,5,3,7,6,8,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[6,2,3,1,7,4,8,5]=>[3,7,6,8,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,2,3,1,7,4,8,6]=>[4,7,6,8,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,2,3,1,7,5,8,6]=>[5,7,6,8,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[3,1,4,2,8,6,7,5]=>[6,8,5,7,1,3,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[6,2,3,1,8,5,7,4]=>[3,7,6,8,1,4,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[8,5,6,2,3,1,7,4]=>[1,4,3,7,6,8,2,5]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,4,8,5,6,2,3,1]=>[2,5,1,4,3,7,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,3,8,5,6,2,4,1]=>[2,6,1,4,3,7,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[8,5,6,2,4,1,7,3]=>[1,4,3,7,5,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,2,4,1,8,6,7,3]=>[4,7,5,8,1,3,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,1,5,2,8,6,7,3]=>[5,8,4,7,1,3,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,1,5,2,8,6,7,4]=>[6,8,4,7,1,3,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,1,6,3,8,5,7,4]=>[7,8,3,6,1,4,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,1,6,2,8,5,7,4]=>[6,8,3,7,1,4,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,1,6,2,8,5,7,3]=>[5,8,3,7,1,4,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[5,1,6,2,8,4,7,3]=>[4,8,3,7,1,5,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[8,4,6,2,5,1,7,3]=>[1,5,3,7,4,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,3,8,4,6,2,5,1]=>[2,6,1,5,3,7,4,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[6,2,7,3,8,4,5,1]=>[3,7,2,6,1,5,4,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[8,4,5,1,6,2,7,3]=>[1,5,4,8,3,7,2,6]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[5,1,8,4,6,2,7,3]=>[4,8,1,5,3,7,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[4,1,8,5,6,2,7,3]=>[5,8,1,4,3,7,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,8,5,6,2,7,4]=>[6,8,1,4,3,7,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[2,1,8,5,6,3,7,4]=>[7,8,1,4,3,6,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[2,1,7,4,8,5,6,3]=>[7,8,2,5,1,4,3,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[3,1,7,4,8,5,6,2]=>[6,8,2,5,1,4,3,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,1,7,3,8,5,6,2]=>[5,8,2,6,1,4,3,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,3,8,4,5,1,6,2]=>[2,6,1,5,4,8,3,7]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[8,4,5,1,7,3,6,2]=>[1,5,4,8,2,6,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[7,3,6,2,8,4,5,1]=>[2,6,3,7,1,5,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[7,8,5,6,1,3,4,2]=>[2,1,4,3,8,6,5,7]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,8,1,3,6,2,5,4]=>[2,1,8,6,3,7,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[1,3,8,4,7,2,5,6]=>[8,6,1,5,2,7,4,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[3,6,1,4,7,2,5,8]=>[6,3,8,5,2,7,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[4,6,1,2,5,7,3,8]=>[5,3,8,7,4,2,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[1,4,8,2,5,7,3,6]=>[8,5,1,7,4,2,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[7,8,2,4,5,6,1,3]=>[2,1,7,5,4,3,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[7,8,2,1,6,3,4,5]=>[2,1,7,8,3,6,5,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[7,8,3,5,6,4,1,2]=>[2,1,6,4,3,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,8,5,1,4,2,6,3]=>[2,1,4,8,5,7,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[1,5,8,4,3,2,7,6]=>[8,4,1,5,6,7,2,3]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[5,6,1,4,3,2,7,8]=>[4,3,8,5,6,7,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,6,4,8,3,7,1,5]=>[7,3,5,1,6,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[1,4,6,8,3,7,5,2]=>[8,5,3,1,6,2,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,5,8,1,4,7,6,3]=>[7,4,1,8,5,2,3,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[3,5,8,4,7,6,1,2]=>[6,4,1,5,2,3,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[1,6,2,4,7,3,8,5]=>[8,3,7,5,2,6,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[4,6,2,5,3,1,8,7]=>[5,3,7,4,6,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[5,7,3,6,1,4,8,2]=>[4,2,6,3,8,5,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[4,6,7,8,3,5,1,2]=>[5,3,2,1,6,4,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[1,6,7,5,8,2,4,3]=>[8,3,2,4,1,7,5,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,5,6,7,8,1,4,2]=>[6,4,3,2,1,8,5,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,6,5,7,8,2,1,4]=>[6,3,4,2,1,7,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[2,7,1,8,5,3,4,6]=>[7,2,8,1,4,6,5,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[3,1,8,5,4,6,7,2]=>[6,8,1,4,5,3,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[3,4,7,1,5,2,6,8]=>[6,5,2,8,4,7,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[4,3,7,8,1,2,6,5]=>[5,6,2,1,8,7,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[1,7,3,8,5,2,6,4]=>[8,2,6,1,4,7,3,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[5,7,8,6,3,2,1,4]=>[4,2,1,3,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[5,7,8,6,1,3,4,2]=>[4,2,1,3,8,6,5,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[7,6,5,8,1,3,4,2]=>[2,3,4,1,8,6,5,7]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[1,6,4,3,8,2,5,7]=>[8,3,5,6,1,7,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[7,1,3,4,8,2,6,5]=>[2,8,6,5,1,7,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[3,6,5,4,1,2,7,8]=>[6,3,4,5,8,7,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[7,2,5,6,3,8,1,4]=>[2,7,4,3,6,1,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,5,2,7,1,8,4,3]=>[3,4,7,2,8,1,5,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[5,6,2,7,3,1,4,8]=>[4,3,7,2,6,8,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[5,7,6,4,1,8,3,2]=>[4,2,3,5,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[6,1,5,2,8,3,4,7]=>[3,8,4,7,1,6,5,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[6,7,5,3,8,4,1,2]=>[3,2,4,6,1,5,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[1,6,5,4,2,3,8,7]=>[8,3,4,5,7,6,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[6,7,5,4,3,1,8,2]=>[3,2,4,5,6,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[7,5,2,4,3,1,6,8]=>[2,4,7,5,6,8,3,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[7,4,6,1,2,5,3,8]=>[2,5,3,8,7,4,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,1,4,2,5,3,6,8]=>[2,8,5,7,4,6,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[6,8,1,4,2,5,7,3]=>[3,1,8,5,7,4,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[1,6,4,2,5,7,3,8]=>[8,3,5,7,4,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,6,3,7,5,4,2,8]=>[8,3,6,2,4,5,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[6,8,1,3,7,5,4,2]=>[3,1,8,6,2,4,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,1,3,5,6,4,2,8]=>[2,8,6,4,3,5,7,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[7,3,1,6,4,5,2,8]=>[2,6,8,3,5,4,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[7,4,2,6,5,1,3,8]=>[2,5,7,3,4,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,4,6,3,1,5,2,8]=>[2,5,3,6,8,4,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,2,4,1,5,3,6,8]=>[2,7,5,8,4,6,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[7,2,3,5,4,1,6,8]=>[2,7,6,4,5,8,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[6,8,1,2,3,4,7,5]=>[3,1,8,7,6,5,2,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[1,5,7,2,3,8,6,4]=>[8,4,2,7,6,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[5,1,8,2,3,6,7,4]=>[4,8,1,7,6,3,2,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[5,8,2,3,7,6,4,1]=>[4,1,7,6,2,3,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[6,2,8,1,3,7,4,5]=>[3,7,1,8,6,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[6,8,2,3,5,4,7,1]=>[3,1,7,6,4,5,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[6,8,2,4,1,5,7,3]=>[3,1,7,5,8,4,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[6,8,3,1,2,4,7,5]=>[3,1,6,8,7,5,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[2,6,4,1,5,7,3,8]=>[7,3,5,8,4,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,6,3,5,7,1,4,8]=>[7,3,6,4,2,8,5,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[2,5,1,7,8,3,6,4]=>[7,4,8,2,1,6,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,5,3,6,8,4,7,1]=>[7,4,6,3,1,5,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,1,4,7,8,5,6,3]=>[7,8,5,2,1,4,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[2,4,7,6,8,5,1,3]=>[7,5,2,3,1,4,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[2,5,3,7,6,1,8,4]=>[7,4,6,2,3,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[2,5,7,8,1,4,6,3]=>[7,4,2,1,8,5,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[3,5,7,4,1,6,2,8]=>[6,4,2,5,8,3,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[5,3,4,1,8,6,7,2]=>[4,6,5,8,1,3,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[5,2,8,4,6,1,7,3]=>[4,7,1,5,3,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[5,2,1,8,6,3,7,4]=>[4,7,8,1,3,6,2,5]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[4,2,8,6,5,3,7,1]=>[5,7,1,3,4,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[4,2,8,5,7,6,3,1]=>[5,7,1,4,2,3,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[1,4,2,7,5,8,6,3]=>[8,5,7,2,4,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,1,8,6,7,5,3,2]=>[5,8,1,3,2,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[5,3,8,7,6,2,4,1]=>[4,6,1,2,3,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[5,8,4,7,6,2,1,3]=>[4,1,5,2,3,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[5,8,7,4,3,6,1,2]=>[4,1,2,5,6,3,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[6,4,8,3,1,7,2,5]=>[3,5,1,6,8,2,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[6,4,2,8,7,1,3,5]=>[3,5,7,1,2,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,3,8,7,2,5,1,4]=>[3,6,1,2,7,4,8,5]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[5,1,3,8,6,7,2,4]=>[4,8,6,1,3,2,7,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[1,5,3,7,8,6,2,4]=>[8,4,6,2,1,3,7,5]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[1,5,7,6,4,2,8,3]=>[8,4,2,3,5,7,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[5,8,7,4,1,6,2,3]=>[4,1,2,5,8,3,7,6]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[6,4,8,1,2,7,3,5]=>[3,5,1,8,7,2,6,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[6,8,5,1,2,3,7,4]=>[3,1,4,8,7,6,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[6,8,5,2,4,3,7,1]=>[3,1,4,7,5,6,2,8]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[6,8,5,3,1,2,7,4]=>[3,1,4,6,8,7,2,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[4,5,1,2,7,6,3,8]=>[5,4,8,7,2,3,6,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[4,5,1,2,6,8,7,3]=>[5,4,8,7,3,1,2,6]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[3,5,6,1,8,4,7,2]=>[6,4,3,8,1,5,2,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,5,7,1,2,8,6,4]=>[6,4,2,8,7,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,6,2,7,5,1,4,8]=>[6,3,7,2,4,8,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[4,2,6,1,7,3,5,8]=>[5,7,3,8,2,6,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[4,6,3,1,2,7,5,8]=>[5,3,6,8,7,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[4,5,3,1,7,6,2,8]=>[5,4,6,8,2,3,7,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[4,2,5,7,1,6,3,8]=>[5,7,4,2,8,3,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[3,5,2,7,8,1,6,4]=>[6,4,7,2,1,8,3,5]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[3,1,4,7,5,6,2,8]=>[6,8,5,2,4,3,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[3,4,6,5,8,7,1,2]=>[6,5,3,4,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,1,4,5,8,6,7,2]=>[6,8,5,4,1,3,2,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[3,4,6,8,5,2,7,1]=>[6,5,3,1,4,7,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[3,5,6,2,8,4,7,1]=>[6,4,3,7,1,5,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[4,2,5,6,1,8,7,3]=>[5,7,4,3,8,1,2,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[4,5,3,1,6,8,7,2]=>[5,4,6,8,3,1,2,7]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,1,7,5,8,6,4,3]=>[7,8,2,4,1,3,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[1,2,7,5,3,8,6,4]=>[8,7,2,4,6,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[4,1,2,7,3,8,6,5]=>[5,8,7,2,6,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[6,4,1,7,5,2,3,8]=>[3,5,8,2,4,7,6,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[6,1,3,7,5,2,4,8]=>[3,8,6,2,4,7,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[3,1,2,6,8,5,4,7]=>[6,8,7,3,1,4,5,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[3,7,1,2,5,4,8,6]=>[6,2,8,7,4,5,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[1,3,7,2,4,8,6,5]=>[8,6,2,7,5,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,4,1,7,8,6,5,3]=>[7,5,8,2,1,3,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,4,7,5,1,8,6,2]=>[6,5,2,4,8,1,3,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[2,7,4,1,5,8,6,3]=>[7,2,5,8,4,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,3,7,1,5,8,6,4]=>[7,6,2,8,4,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[5,2,8,1,3,7,4,6]=>[4,7,1,8,6,2,5,3]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[2,1,6,8,3,4,7,5]=>[7,8,3,1,6,5,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[2,6,8,3,1,5,7,4]=>[7,3,1,6,8,4,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[2,8,6,4,1,5,7,3]=>[7,1,3,5,8,4,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[3,6,4,8,5,1,7,2]=>[6,3,5,1,4,8,2,7]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[6,3,7,4,5,1,8,2]=>[3,6,2,5,4,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[2,6,3,7,5,8,1,4]=>[7,3,6,2,4,1,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[5,2,1,7,8,3,4,6]=>[4,7,8,2,1,6,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,7,2,3,6,8,1,5]=>[5,2,7,6,3,1,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[5,2,7,3,6,8,1,4]=>[4,7,2,6,3,1,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[5,7,4,6,2,8,1,3]=>[4,2,5,3,7,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,7,3,4,6,1,8,2]=>[4,2,6,5,3,8,1,7]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,3,8,4,6,1,7,2]=>[4,6,1,5,3,8,2,7]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[8,5,2,4,1,6,7,3]=>[1,4,7,5,8,3,2,6]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,2,3,5,1,6,7,4]=>[1,7,6,4,8,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[4,2,8,3,6,7,1,5]=>[5,7,1,6,3,2,8,4]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[2,4,8,1,7,3,5,6]=>[7,5,1,8,2,6,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[8,4,1,3,6,2,5,7]=>[1,5,8,6,3,7,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[4,8,3,1,7,2,5,6]=>[5,1,6,8,2,7,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[5,2,8,4,7,1,6,3]=>[4,7,1,5,2,8,3,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,8,4,7,3,1,6,2]=>[4,1,5,2,6,8,3,7]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[4,6,8,3,1,7,5,2]=>[5,3,1,6,8,2,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,3,8,2,7,1,5,4]=>[3,6,1,7,2,8,4,5]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[6,3,1,8,2,4,7,5]=>[3,6,8,1,7,5,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[5,3,8,1,2,6,4,7]=>[4,6,1,8,7,3,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[5,7,4,1,6,2,3,8]=>[4,2,5,8,3,7,6,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,5,4,1,2,6,3,7]=>[1,4,5,8,7,3,6,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[5,1,8,4,2,7,3,6]=>[4,8,1,5,7,2,6,3]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[6,8,5,3,1,7,4,2]=>[3,1,4,6,8,2,5,7]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[8,4,5,1,2,6,3,7]=>[1,5,4,8,7,3,6,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[5,6,3,7,1,2,4,8]=>[4,3,6,2,8,7,5,1]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[1,6,3,7,2,8,4,5]=>[8,3,6,2,7,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[6,3,2,7,8,5,1,4]=>[3,6,7,2,1,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[4,5,7,8,3,1,6,2]=>[5,4,2,1,6,8,3,7]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,7,2,5,8,1,6,3]=>[5,2,7,4,1,8,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[8,1,3,4,6,2,5,7]=>[1,8,6,5,3,7,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[3,8,2,4,6,7,1,5]=>[6,1,7,5,3,2,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[3,5,6,8,2,7,1,4]=>[6,4,3,1,7,2,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[2,4,5,6,8,1,7,3]=>[7,5,4,3,1,8,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[4,8,3,5,6,1,7,2]=>[5,1,6,4,3,8,2,7]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,6,2,3,7,8,1,4]=>[4,3,7,6,2,1,8,5]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[5,8,7,3,4,1,2,6]=>[4,1,2,6,5,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[6,8,7,3,4,1,2,5]=>[3,1,2,6,5,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[6,8,4,7,1,5,3,2]=>[3,1,5,2,8,4,6,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[6,8,4,7,2,5,3,1]=>[3,1,5,2,7,4,6,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[5,4,8,7,2,6,3,1]=>[4,5,1,2,7,3,6,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[5,4,8,7,1,6,3,2]=>[4,5,1,2,8,3,6,7]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[5,3,8,7,6,1,2,4]=>[4,6,1,2,3,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[4,3,8,7,6,1,2,5]=>[5,6,1,2,3,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[4,8,3,7,5,1,2,6]=>[5,1,6,2,4,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,3,4,6,5,1,2,7]=>[1,6,5,3,4,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[3,8,4,7,5,1,2,6]=>[6,1,5,2,4,8,7,3]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[3,4,8,7,6,1,2,5]=>[6,5,1,2,3,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[3,5,8,7,6,1,2,4]=>[6,4,1,2,3,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[4,5,8,7,6,1,2,3]=>[5,4,1,2,3,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[4,5,8,7,1,6,3,2]=>[5,4,1,2,8,3,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[4,5,8,7,2,6,3,1]=>[5,4,1,2,7,3,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[3,5,8,2,7,6,4,1]=>[6,4,1,7,2,3,5,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,5,8,1,7,6,4,2]=>[6,4,1,8,2,3,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[2,5,8,1,7,6,4,3]=>[7,4,1,8,2,3,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[2,5,8,7,1,6,3,4]=>[7,4,1,2,8,3,6,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[2,4,8,7,1,6,3,5]=>[7,5,1,2,8,3,6,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[2,8,4,7,1,5,3,6]=>[7,1,5,2,8,4,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[8,2,4,6,1,5,3,7]=>[1,7,5,3,8,4,6,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,1,4,6,2,5,3,7]=>[1,8,5,3,7,4,6,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,8,4,7,2,5,3,6]=>[8,1,5,2,7,4,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,4,8,7,2,6,3,5]=>[8,5,1,2,7,3,6,4]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,5,8,7,2,6,3,4]=>[8,4,1,2,7,3,6,5]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,5,8,2,7,6,4,3]=>[8,4,1,7,2,3,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[2,5,8,3,7,6,4,1]=>[7,4,1,6,2,3,5,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[1,4,2,8,7,6,5,3]=>[8,5,7,1,2,3,4,6]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,3,8,2,7,6,4,5]=>[8,6,1,7,2,3,5,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[8,1,3,2,6,5,4,7]=>[1,8,6,7,3,4,5,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[8,2,3,1,6,5,4,7]=>[1,7,6,8,3,4,5,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[2,8,3,1,7,5,4,6]=>[7,1,6,8,2,4,5,3]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,3,8,1,7,6,4,5]=>[7,6,1,8,2,3,5,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,4,1,8,7,6,5,2]=>[6,5,8,1,2,3,4,7]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[4,3,1,8,7,6,5,2]=>[5,6,8,1,2,3,4,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[4,2,1,8,7,6,5,3]=>[5,7,8,1,2,3,4,6]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[3,8,2,1,7,5,4,6]=>[6,1,7,8,2,4,5,3]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[8,3,2,1,6,5,4,7]=>[1,6,7,8,3,4,5,2]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[8,4,2,6,1,5,3,7]=>[1,5,7,3,8,4,6,2]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,2,8,7,1,6,3,5]=>[5,7,1,2,8,3,6,4]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[5,2,8,7,1,6,3,4]=>[4,7,1,2,8,3,6,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[5,2,8,1,7,6,4,3]=>[4,7,1,8,2,3,5,6]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[5,3,8,1,7,6,4,2]=>[4,6,1,8,2,3,5,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[5,3,8,2,7,6,4,1]=>[4,6,1,7,2,3,5,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[6,8,3,2,7,5,4,1]=>[3,1,6,7,2,4,5,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,8,3,1,7,5,4,2]=>[3,1,6,8,2,4,5,7]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,8,2,1,7,5,4,3]=>[3,1,7,8,2,4,5,6]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,8,2,7,1,5,3,4]=>[3,1,7,2,8,4,6,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,8,7,2,1,4,3,5]=>[3,1,2,7,8,5,6,4]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[8,5,6,1,2,4,3,7]=>[1,4,3,8,7,5,6,2]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,8,7,1,2,4,3,6]=>[4,1,2,8,7,5,6,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,8,1,2,7,5,4,3]=>[3,1,8,7,2,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[6,8,2,3,7,5,4,1]=>[3,1,7,6,2,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[5,2,8,3,7,6,4,1]=>[4,7,1,6,2,3,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[5,1,8,3,7,6,4,2]=>[4,8,1,6,2,3,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[5,1,8,7,2,6,3,4]=>[4,8,1,2,7,3,6,5]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[4,1,8,7,2,6,3,5]=>[5,8,1,2,7,3,6,4]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[4,8,1,7,2,5,3,6]=>[5,1,8,2,7,4,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[8,4,1,6,2,5,3,7]=>[1,5,8,3,7,4,6,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,3,1,2,6,5,4,7]=>[1,6,8,7,3,4,5,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[3,8,1,2,7,5,4,6]=>[6,1,8,7,2,4,5,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[3,1,8,2,7,6,4,5]=>[6,8,1,7,2,3,5,4]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[3,1,2,8,7,6,5,4]=>[6,8,7,1,2,3,4,5]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[4,1,3,8,7,6,5,2]=>[5,8,6,1,2,3,4,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,1,4,8,7,6,5,2]=>[6,8,5,1,2,3,4,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[2,1,8,3,7,6,4,5]=>[7,8,1,6,2,3,5,4]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[2,8,1,3,7,5,4,6]=>[7,1,8,6,2,4,5,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[8,2,1,3,6,5,4,7]=>[1,7,8,6,3,4,5,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,1,2,3,6,5,4,7]=>[1,8,7,6,3,4,5,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[1,4,3,6,8,2,5,7]=>[8,5,6,3,1,7,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[3,1,6,2,5,8,4,7]=>[6,8,3,7,4,1,5,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[3,5,1,8,2,4,7,6]=>[6,4,8,1,7,5,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[1,4,5,2,8,3,7,6]=>[8,5,4,7,1,6,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[1,4,2,6,5,8,3,7]=>[8,5,7,3,4,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,5,4,2,6,8,3,7]=>[8,4,5,7,3,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[3,1,6,5,8,2,4,7]=>[6,8,3,4,1,7,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[1,6,4,2,5,8,3,7]=>[8,3,5,7,4,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[1,5,2,6,4,8,3,7]=>[8,4,7,3,5,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,2,6,5,4,8,3,7]=>[8,7,3,4,5,1,6,2]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,2,5,4,7,3,8,6]=>[8,7,4,5,2,6,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[4,1,2,6,3,8,7,5]=>[5,8,7,3,6,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[7,1,5,4,2,8,3,6]=>[2,8,4,5,7,1,6,3]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,4,7,5,2,8,3,6]=>[8,5,2,4,7,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[7,1,3,5,2,8,4,6]=>[2,8,6,4,7,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[7,2,5,1,8,3,4,6]=>[2,7,4,8,1,6,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[1,4,5,2,8,7,3,6]=>[8,5,4,7,1,2,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[1,6,4,2,8,3,7,5]=>[8,3,5,7,1,6,2,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[1,4,2,8,3,7,6,5]=>[8,5,7,1,6,2,3,4]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,2,5,3,8,7,6,4]=>[8,7,4,6,1,2,3,5]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,2,8,6,5,3,7,4]=>[8,7,1,3,4,6,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,5,2,8,6,3,7,4]=>[8,4,7,1,3,6,2,5]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[1,6,4,2,8,7,3,5]=>[8,3,5,7,1,2,6,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[6,2,1,8,7,3,4,5]=>[3,7,8,1,2,6,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[7,3,1,6,2,8,4,5]=>[2,6,8,3,7,1,5,4]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[1,7,6,4,2,8,3,5]=>[8,2,3,5,7,1,6,4]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,7,5,2,6,3,8,4]=>[8,2,4,7,3,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[1,6,2,7,5,3,8,4]=>[8,3,7,2,4,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[1,2,7,6,5,3,8,4]=>[8,7,2,3,4,6,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,2,6,5,3,8,7,4]=>[8,7,3,4,6,1,2,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,5,2,6,3,8,7,4]=>[8,4,7,3,6,1,2,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,5,2,7,6,3,8,4]=>[8,4,7,2,3,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[1,6,5,2,7,3,8,4]=>[8,3,4,7,2,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[1,5,7,4,2,8,3,6]=>[8,4,2,5,7,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[4,1,2,8,6,3,7,5]=>[5,8,7,1,3,6,2,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[3,1,8,6,2,4,7,5]=>[6,8,1,3,7,5,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[4,3,7,1,8,2,5,6]=>[5,6,2,8,1,7,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,3,1,6,2,4,7,5]=>[1,6,8,3,7,5,2,4]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,1,8,3,2,4,6,5]=>[2,8,1,6,7,5,3,4]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[1,8,7,3,2,4,6,5]=>[8,1,2,6,7,5,3,4]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[1,4,2,8,7,3,6,5]=>[8,5,7,1,2,6,3,4]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[1,7,4,2,8,3,6,5]=>[8,2,5,7,1,6,3,4]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[8,1,5,4,2,7,3,6]=>[1,8,4,5,7,2,6,3]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,4,8,5,2,7,3,6]=>[8,5,1,4,7,2,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[8,5,3,1,7,2,4,6]=>[1,4,6,8,2,7,5,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,6,2,1,7,3,4,5]=>[1,3,7,8,2,6,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,8,6,4,2,7,3,5]=>[8,1,3,5,7,2,6,4]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,8,5,2,6,3,7,4]=>[8,1,4,7,3,6,2,5]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[1,5,2,7,3,8,6,4]=>[8,4,7,2,6,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,2,8,5,3,7,6,4]=>[8,7,1,4,6,2,3,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,2,7,6,3,8,5,4]=>[8,7,2,3,6,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,6,2,7,3,8,5,4]=>[8,3,7,2,6,1,4,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,7,2,8,5,3,6,4]=>[8,2,7,1,4,6,3,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[1,7,4,2,8,6,3,5]=>[8,2,5,7,1,3,6,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[7,1,8,3,2,6,4,5]=>[2,8,1,6,7,3,5,4]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[7,2,1,8,6,3,4,5]=>[2,7,8,1,3,6,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[1,8,7,3,2,6,4,5]=>[8,1,2,6,7,3,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,4,2,8,7,6,3,5]=>[8,5,7,1,2,3,6,4]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,2,8,7,5,3,6,4]=>[8,7,1,2,4,6,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,2,8,6,3,7,5,4]=>[8,7,1,3,6,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,1,7,3,6,5,8,2]=>[5,8,2,6,3,4,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,1,8,7,6,2,4,3]=>[4,8,1,2,3,7,5,6]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[8,1,7,6,3,4,5,2]=>[1,8,2,3,6,5,4,7]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[5,7,8,6,2,4,1,3]=>[4,2,1,3,7,5,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[5,7,1,6,2,4,3,8]=>[4,2,8,3,7,5,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,4,1,5,2,7,3,8]=>[3,5,8,4,7,2,6,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,1,4,5,3,7,6,2]=>[1,8,5,4,6,2,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,1,4,5,3,8,7,2]=>[3,8,5,4,6,1,2,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,1,4,5,3,7,8,2]=>[3,8,5,4,6,2,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[5,1,7,8,6,2,4,3]=>[4,8,2,1,3,7,5,6]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[6,1,4,8,3,5,7,2]=>[3,8,5,1,6,4,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[7,1,8,6,3,4,5,2]=>[2,8,1,3,6,5,4,7]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[7,1,4,5,3,8,6,2]=>[2,8,5,4,6,1,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,1,4,5,3,6,8,2]=>[2,8,5,4,6,3,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[8,1,4,5,3,6,7,2]=>[1,8,5,4,6,3,2,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[7,4,1,5,2,6,3,8]=>[2,5,8,4,7,3,6,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,3,5,7,2,1,4,8]=>[3,6,4,2,7,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,3,5,8,2,1,7,4]=>[3,6,4,1,7,8,2,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[6,3,5,7,2,1,8,4]=>[3,6,4,2,7,8,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[8,4,5,7,3,6,1,2]=>[1,5,4,2,6,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[6,4,5,8,3,7,2,1]=>[3,5,4,1,6,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[5,8,7,6,2,4,1,3]=>[4,1,2,3,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[5,4,8,6,3,1,7,2]=>[4,5,1,3,6,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[5,4,1,8,2,3,7,6]=>[4,5,8,1,7,6,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[5,8,1,6,2,4,3,7]=>[4,1,8,3,7,5,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[8,4,1,5,2,6,3,7]=>[1,5,8,4,7,3,6,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,3,5,8,2,1,4,7]=>[3,6,4,1,7,8,5,2]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[2,3,4,1,8,6,5,7]=>[7,6,5,8,1,3,4,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[8,3,5,6,2,1,4,7]=>[1,6,4,3,7,8,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[2,3,8,5,1,4,7,6]=>[7,6,1,4,8,5,2,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[2,3,8,6,1,5,7,4]=>[7,6,1,3,8,4,2,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,8,6,7,1,3,5,4]=>[7,1,3,2,8,6,4,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[8,3,5,7,2,1,6,4]=>[1,6,4,2,7,8,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[2,3,8,5,6,1,7,4]=>[7,6,1,4,3,8,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[7,4,5,6,3,1,8,2]=>[2,5,4,3,6,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[8,4,5,6,3,1,7,2]=>[1,5,4,3,6,8,2,7]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,3,5,6,2,8,1,4]=>[2,6,4,3,7,1,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,3,5,8,2,1,6,4]=>[2,6,4,1,7,8,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[7,3,5,6,2,1,4,8]=>[2,6,4,3,7,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[2,7,6,5,1,3,4,8]=>[7,2,3,4,8,6,5,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[2,7,6,8,1,3,5,4]=>[7,2,3,1,8,6,4,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[2,7,6,5,8,3,1,4]=>[7,2,3,4,1,6,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[8,7,5,6,1,4,2,3]=>[1,2,4,3,8,5,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[2,6,4,1,8,5,7,3]=>[7,3,5,8,1,4,2,6]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[2,6,1,3,8,5,7,4]=>[7,3,8,6,1,4,2,5]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[2,7,1,3,6,5,8,4]=>[7,2,8,6,3,4,1,5]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[2,7,6,8,4,3,1,5]=>[7,2,3,1,5,6,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[2,7,6,1,8,3,4,5]=>[7,2,3,8,1,6,5,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,7,6,1,4,3,5,8]=>[7,2,3,8,5,6,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,3,5,1,2,8,4,6]=>[2,6,4,8,7,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[8,4,1,5,2,3,7,6]=>[1,5,8,4,7,6,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,8,1,6,3,4,2,5]=>[2,1,8,3,6,5,7,4]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,4,1,8,3,2,7,5]=>[3,5,8,1,6,7,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,3,8,6,4,1,7,5]=>[7,6,1,3,5,8,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,8,6,7,4,3,1,5]=>[7,1,3,2,5,6,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,3,5,7,2,4,1,6]=>[1,6,4,2,7,5,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[2,3,4,1,8,7,5,6]=>[7,6,5,8,1,2,4,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[2,8,6,1,7,3,4,5]=>[7,1,3,8,2,6,5,4]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,3,8,1,6,4,7,5]=>[7,6,1,8,3,5,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[2,3,8,1,4,5,7,6]=>[7,6,1,8,5,4,2,3]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[2,8,6,1,4,3,5,7]=>[7,1,3,8,5,6,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[1,2,3,4,5,6,7,9,8]=>[9,8,7,6,5,4,3,1,2]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[2,1,3,4,5,6,7,8,9]=>[8,9,7,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9]
[1,2,3,4,5,6,7,8,10,9]=>[10,9,8,7,6,5,4,3,1,2]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[2,1,3,4,5,6,7,8,9,10]=>[9,10,8,7,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[1,8,2,3,4,5,6,9,7]=>[9,2,8,7,6,5,4,1,3]=>[[1,3],[2,9],[4],[5],[6],[7],[8]]=>[2,6,1]
[2,1,9,3,4,5,6,7,8]=>[8,9,1,7,6,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>[3,6]
[8,4,3,6,5,1,7,2]=>[1,5,6,3,4,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,5,6,3,4,1,7,2]=>[1,4,3,6,5,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,6,5,4,3,1,7,2]=>[1,3,4,5,6,8,2,7]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[1,7,6,5,4,2,3,8]=>[8,2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[1,8,6,5,2,7,3,4]=>[8,1,3,4,7,2,6,5]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[8,7,5,4,1,6,3,2]=>[1,2,4,5,8,3,6,7]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[7,8,5,4,1,3,6,2]=>[2,1,4,5,8,6,3,7]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[6,8,5,4,2,1,7,3]=>[3,1,4,5,7,8,2,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[5,8,6,2,4,1,7,3]=>[4,1,3,7,5,8,2,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[4,8,2,6,5,1,7,3]=>[5,1,7,3,4,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[3,2,8,6,5,1,7,4]=>[6,7,1,3,4,8,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[3,2,1,7,6,4,5,8]=>[6,7,8,2,3,5,4,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[4,1,3,7,6,2,5,8]=>[5,8,6,2,3,7,4,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[5,1,7,3,6,2,4,8]=>[4,8,2,6,3,7,5,1]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[6,1,7,5,3,2,4,8]=>[3,8,2,4,6,7,5,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[7,1,6,5,2,4,3,8]=>[2,8,3,4,7,5,6,1]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[8,1,6,5,2,3,7,4]=>[1,8,3,4,7,6,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,2,7,6,3,4,5,8]=>[8,7,2,3,6,5,4,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[1,2,8,3,7,4,5,6]=>[8,7,1,6,2,5,4,3]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[8,1,7,2,6,3,5,4]=>[1,8,2,7,3,6,4,5]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[7,1,8,2,6,4,3,5]=>[2,8,1,7,3,5,6,4]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[6,1,8,2,4,7,3,5]=>[3,8,1,7,5,2,6,4]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[5,1,8,3,2,7,4,6]=>[4,8,1,6,7,2,5,3]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[4,1,3,8,2,7,5,6]=>[5,8,6,1,7,2,4,3]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[3,2,1,8,4,7,5,6]=>[6,7,8,1,5,2,4,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[3,2,8,7,1,6,5,4]=>[6,7,1,2,8,3,4,5]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[4,8,2,7,1,6,5,3]=>[5,1,7,2,8,3,4,6]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[5,8,7,2,1,6,4,3]=>[4,1,2,7,8,3,5,6]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[6,8,7,1,3,5,4,2]=>[3,1,2,8,6,4,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[7,8,6,1,5,3,4,2]=>[2,1,3,8,4,6,5,7]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[8,7,6,1,5,4,3,2]=>[1,2,3,8,4,5,6,7]=>[[1,2,3,4,6,7,8],[5]]=>[5,3]
[1,8,7,2,6,5,3,4]=>[8,1,2,7,3,4,6,5]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[1,7,8,2,5,6,3,4]=>[8,2,1,7,4,3,6,5]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[8,6,7,1,4,5,3,2]=>[1,3,2,8,5,4,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[7,6,8,1,4,3,5,2]=>[2,3,1,8,5,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[6,5,8,3,2,1,7,4]=>[3,4,1,6,7,8,2,5]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,5,8,3,1,4,6,2]=>[2,4,1,6,8,5,3,7]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[8,5,7,3,1,6,4,2]=>[1,4,2,6,8,3,5,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[1,6,8,4,2,7,3,5]=>[8,3,1,5,7,2,6,4]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[1,5,4,8,2,7,3,6]=>[8,4,5,1,7,2,6,3]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[8,4,3,7,1,6,5,2]=>[1,5,6,2,8,3,4,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[7,4,3,8,1,5,6,2]=>[2,5,6,1,8,4,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,4,3,1,5,2,7,8]=>[3,5,6,8,4,7,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,4,3,1,2,6,5,8]=>[2,5,6,8,7,3,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,4,3,1,2,5,7,6]=>[1,5,6,8,7,4,2,3]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,5,4,2,3,6,7,8]=>[8,4,5,7,6,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[8,5,1,4,2,3,7,6]=>[1,4,8,5,7,6,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,5,1,4,2,6,3,8]=>[2,4,8,5,7,3,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,5,1,4,3,2,7,8]=>[3,4,8,5,6,7,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[5,6,1,3,4,2,7,8]=>[4,3,8,6,5,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[4,6,2,1,5,3,7,8]=>[5,3,7,8,4,6,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[3,2,6,1,5,4,7,8]=>[6,7,3,8,4,5,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[3,2,7,1,4,6,5,8]=>[6,7,2,8,5,3,4,1]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[4,7,2,1,3,6,5,8]=>[5,2,7,8,6,3,4,1]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[5,7,1,3,2,6,4,8]=>[4,2,8,6,7,3,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[6,7,1,2,4,5,3,8]=>[3,2,8,7,5,4,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[7,6,1,2,5,4,3,8]=>[2,3,8,7,4,5,6,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[8,6,1,2,5,3,7,4]=>[1,3,8,7,4,6,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,7,2,3,6,4,5,8]=>[8,2,7,6,3,5,4,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[8,7,1,2,3,6,5,4]=>[1,2,8,7,6,3,4,5]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[7,8,1,2,3,5,6,4]=>[2,1,8,7,6,4,3,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[6,8,1,2,4,3,7,5]=>[3,1,8,7,5,6,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,8,1,3,2,4,7,6]=>[4,1,8,6,7,5,2,3]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[4,8,2,1,3,5,7,6]=>[5,1,7,8,6,4,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[3,2,8,1,4,5,7,6]=>[6,7,1,8,5,4,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[4,1,3,2,5,6,7,8]=>[5,8,6,7,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[5,1,2,4,3,6,7,8]=>[4,8,7,5,6,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[6,1,2,3,5,4,7,8]=>[3,8,7,6,4,5,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[7,1,2,3,4,6,5,8]=>[2,8,7,6,5,3,4,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[8,1,2,3,4,5,7,6]=>[1,8,7,6,5,4,2,3]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[6,7,4,5,1,8,3,2]=>[3,2,5,4,8,1,6,7]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[5,4,7,6,8,1,2,3]=>[4,5,2,3,1,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[3,8,4,5,7,1,2,6]=>[6,1,5,4,2,8,7,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[4,5,6,7,1,8,3,2]=>[5,4,3,2,8,1,6,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,5,6,2,7,4,8,1]=>[6,4,3,7,2,5,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,5,6,1,7,8,4,2]=>[6,4,3,8,2,1,5,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[2,5,6,1,8,7,4,3]=>[7,4,3,8,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,5,6,8,1,7,3,4]=>[7,4,3,1,8,2,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[8,2,4,5,1,6,3,7]=>[1,7,5,4,8,3,6,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[1,4,8,6,2,3,7,5]=>[8,5,1,3,7,6,2,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[1,5,6,2,8,4,7,3]=>[8,4,3,7,1,5,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[2,5,6,3,4,7,8,1]=>[7,4,3,6,5,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[1,4,2,6,8,5,7,3]=>[8,5,7,3,1,4,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[8,1,3,2,5,4,6,7]=>[1,8,6,7,4,5,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[8,2,3,1,5,6,4,7]=>[1,7,6,8,4,3,5,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[2,8,3,1,5,7,4,6]=>[7,1,6,8,4,2,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,4,1,6,8,7,5,3]=>[7,5,8,3,1,2,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,4,1,6,7,8,5,2]=>[6,5,8,3,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[4,3,1,7,6,8,5,2]=>[5,6,8,2,3,1,4,7]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[5,3,7,2,6,4,8,1]=>[4,6,2,7,3,5,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,7,3,1,5,8,4,2]=>[3,2,6,8,4,1,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,7,2,1,8,5,4,3]=>[3,2,7,8,1,4,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[6,7,2,8,1,5,3,4]=>[3,2,7,1,8,4,6,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[6,7,8,2,1,4,3,5]=>[3,2,1,7,8,5,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[6,7,1,2,8,4,5,3]=>[3,2,8,7,1,5,4,6]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,7,1,3,4,8,5,2]=>[3,2,8,6,5,1,4,7]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[5,2,7,3,4,6,8,1]=>[4,7,2,6,5,3,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[5,1,7,3,4,8,6,2]=>[4,8,2,6,5,1,3,7]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[5,1,7,8,2,3,6,4]=>[4,8,2,1,7,6,3,5]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[4,1,8,7,2,3,6,5]=>[5,8,1,2,7,6,3,4]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[3,8,1,2,7,4,5,6]=>[6,1,8,7,2,5,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[4,1,3,7,5,8,6,2]=>[5,8,6,2,4,1,3,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[3,1,4,5,7,8,6,2]=>[6,8,5,4,2,1,3,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,1,8,3,4,7,6,5]=>[7,8,1,6,5,2,3,4]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[8,2,1,3,4,6,5,7]=>[1,7,8,6,5,3,4,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[1,8,2,3,4,5,7,6]=>[8,1,7,6,5,4,2,3]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[4,2,1,6,5,8,7,3]=>[5,7,8,3,4,1,2,6]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[5,2,6,1,4,8,7,3]=>[4,7,3,8,5,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[5,2,6,4,1,8,7,3]=>[4,7,3,5,8,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[5,2,7,4,8,1,6,3]=>[4,7,2,5,1,8,3,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[5,2,7,4,8,6,1,3]=>[4,7,2,5,1,3,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[5,7,2,3,8,6,1,4]=>[4,2,7,6,1,3,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[5,7,2,3,8,1,6,4]=>[4,2,7,6,1,8,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[5,6,2,3,1,8,7,4]=>[4,3,7,6,8,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[5,6,2,1,3,8,7,4]=>[4,3,7,8,6,1,2,5]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[5,1,6,4,2,8,7,3]=>[4,8,3,5,7,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[5,6,1,3,2,8,7,4]=>[4,3,8,6,7,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[5,6,3,1,2,8,7,4]=>[4,3,6,8,7,1,2,5]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[5,6,3,2,1,8,7,4]=>[4,3,6,7,8,1,2,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[5,7,3,2,8,1,6,4]=>[4,2,6,7,1,8,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[5,7,3,2,8,6,1,4]=>[4,2,6,7,1,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[6,7,3,8,2,1,5,4]=>[3,2,6,1,7,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[6,7,3,8,1,2,5,4]=>[3,2,6,1,8,7,4,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[5,7,3,1,8,2,6,4]=>[4,2,6,8,1,7,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[5,7,1,3,8,2,6,4]=>[4,2,8,6,1,7,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[5,1,7,4,8,2,6,3]=>[4,8,2,5,1,7,3,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[1,5,7,4,8,3,6,2]=>[8,4,2,5,1,6,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,5,7,4,8,6,3,2]=>[8,4,2,5,1,3,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,1,7,4,8,6,2,3]=>[4,8,2,5,1,3,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[5,7,1,3,8,6,2,4]=>[4,2,8,6,1,3,7,5]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[5,7,3,1,8,6,2,4]=>[4,2,6,8,1,3,7,5]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[6,7,3,8,1,5,2,4]=>[3,2,6,1,8,4,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[6,7,3,8,5,2,1,4]=>[3,2,6,1,4,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[6,7,8,3,1,4,2,5]=>[3,2,1,6,8,5,7,4]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[6,7,1,8,3,5,2,4]=>[3,2,8,1,6,4,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,1,7,8,4,5,2,3]=>[3,8,2,1,5,4,7,6]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[1,6,7,8,4,5,3,2]=>[8,3,2,1,5,4,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[1,6,7,8,4,3,5,2]=>[8,3,2,1,5,6,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[6,1,7,8,4,2,5,3]=>[3,8,2,1,5,7,4,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[6,7,1,8,3,2,5,4]=>[3,2,8,1,6,7,4,5]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[5,7,2,1,8,3,6,4]=>[4,2,7,8,1,6,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,7,2,8,1,3,5,4]=>[3,2,7,1,8,6,4,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[6,7,2,8,3,1,5,4]=>[3,2,7,1,6,8,4,5]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[6,7,2,8,3,5,1,4]=>[3,2,7,1,6,4,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,2,7,8,4,5,1,3]=>[3,7,2,1,5,4,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[6,2,7,8,4,1,5,3]=>[3,7,2,1,5,8,4,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[6,2,7,8,1,4,5,3]=>[3,7,2,1,8,5,4,6]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[5,2,7,1,8,4,6,3]=>[4,7,2,8,1,5,3,6]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[4,2,1,7,8,5,6,3]=>[5,7,8,2,1,4,3,6]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[4,1,2,7,8,6,5,3]=>[5,8,7,2,1,3,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[6,2,7,8,1,5,4,3]=>[3,7,2,1,8,4,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[6,2,7,8,5,1,4,3]=>[3,7,2,1,4,8,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[6,2,7,8,5,4,1,3]=>[3,7,2,1,4,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[6,7,2,8,5,3,1,4]=>[3,2,7,1,4,6,8,5]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[5,7,2,1,8,6,3,4]=>[4,2,7,8,1,3,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[5,7,1,2,8,6,3,4]=>[4,2,8,7,1,3,6,5]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[5,1,7,2,8,6,4,3]=>[4,8,2,7,1,3,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[1,5,7,3,8,6,4,2]=>[8,4,2,6,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,6,7,8,3,5,4,2]=>[8,3,2,1,6,4,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,1,7,8,2,5,4,3]=>[3,8,2,1,7,4,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,7,1,8,2,5,3,4]=>[3,2,8,1,7,4,6,5]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[6,7,8,2,4,1,3,5]=>[3,2,1,7,5,8,6,4]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[6,7,8,2,4,3,1,5]=>[3,2,1,7,5,6,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[6,7,1,8,5,2,3,4]=>[3,2,8,1,4,7,6,5]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[6,1,7,8,5,2,4,3]=>[3,8,2,1,4,7,5,6]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[1,6,7,8,5,3,4,2]=>[8,3,2,1,4,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[6,1,7,8,5,4,2,3]=>[3,8,2,1,4,5,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[6,7,1,8,5,3,2,4]=>[3,2,8,1,4,6,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[6,7,8,4,1,3,2,5]=>[3,2,1,5,8,6,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[6,3,8,5,2,7,4,1]=>[3,6,1,4,7,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[6,5,2,8,4,7,3,1]=>[3,4,7,1,5,2,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[6,3,4,5,8,7,2,1]=>[3,6,5,4,1,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,8,1,4,7,2,3,6]=>[4,1,8,5,2,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[5,6,1,4,8,7,3,2]=>[4,3,8,5,1,2,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[3,6,4,8,5,7,1,2]=>[6,3,5,1,4,2,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[3,4,7,1,8,6,5,2]=>[6,5,2,8,1,3,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,3,7,1,6,8,2,4]=>[4,6,2,8,3,1,7,5]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[4,3,8,5,6,7,2,1]=>[5,6,1,4,3,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,8,1,7,6,2,4,3]=>[4,1,8,2,3,7,5,6]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[4,6,1,2,7,8,5,3]=>[5,3,8,7,2,1,4,6]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[3,6,4,2,8,7,5,1]=>[6,3,5,7,1,2,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[6,3,7,5,2,8,1,4]=>[3,6,2,4,7,1,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[6,5,2,7,4,8,1,3]=>[3,4,7,2,5,1,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[5,7,1,4,8,3,2,6]=>[4,2,8,5,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[7,8,3,5,1,4,6,2]=>[2,1,6,4,8,5,3,7]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[5,8,1,4,6,7,2,3]=>[4,1,8,5,3,2,7,6]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,5,8,4,3,7,2,1]=>[3,4,1,5,6,2,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[6,3,7,4,2,8,5,1]=>[3,6,2,5,7,1,4,8]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[8,7,1,6,2,4,5,3]=>[1,2,8,3,7,5,4,6]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[3,8,6,7,1,4,5,2]=>[6,1,3,2,8,5,4,7]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[5,3,8,7,4,1,2,6]=>[4,6,1,2,5,8,7,3]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[4,3,8,7,1,5,6,2]=>[5,6,1,2,8,4,3,7]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[8,3,6,1,2,5,7,4]=>[1,6,3,8,7,4,2,5]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[5,6,1,8,7,3,2,4]=>[4,3,8,1,2,6,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[7,5,3,6,4,2,8,1]=>[2,4,6,3,5,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[8,5,2,6,4,7,3,1]=>[1,4,7,3,5,2,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,2,6,3,4,7,5,1]=>[1,7,3,6,5,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[7,2,6,3,5,4,8,1]=>[2,7,3,6,4,5,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[6,2,7,4,3,5,8,1]=>[3,7,2,5,6,4,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[5,7,3,6,4,2,8,1]=>[4,2,6,3,5,7,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[3,7,6,4,5,2,8,1]=>[6,2,3,5,4,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[2,7,6,5,3,4,8,1]=>[7,2,3,4,6,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[6,5,4,3,1,8,2,7]=>[3,4,5,6,8,1,7,2]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,6,5,4,2,7,3,1]=>[1,3,4,5,7,2,6,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[7,5,4,1,8,3,2,6]=>[2,4,5,8,1,6,7,3]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,4,6,3,1,8,2,7]=>[4,5,3,6,8,1,7,2]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,5,8,4,2,7,3,1]=>[3,4,1,5,7,2,6,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[3,8,6,2,5,7,4,1]=>[6,1,3,7,4,2,5,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[1,8,6,3,7,5,2,4]=>[8,1,3,6,2,4,7,5]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[8,7,5,2,6,4,3,1]=>[1,2,4,7,3,5,6,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[8,7,1,6,2,5,4,3]=>[1,2,8,3,7,4,5,6]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[7,8,1,6,3,2,5,4]=>[2,1,8,3,6,7,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[2,8,1,7,3,5,6,4]=>[7,1,8,2,6,4,3,5]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[4,8,1,3,7,2,6,5]=>[5,1,8,6,2,7,3,4]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,2,8,5,7,3,6,1]=>[5,7,1,4,2,6,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[3,7,1,5,8,4,2,6]=>[6,2,8,4,1,5,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[6,7,3,1,8,4,2,5]=>[3,2,6,8,1,5,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[1,7,3,8,4,5,2,6]=>[8,2,6,1,5,4,7,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,7,2,8,5,3,4,6]=>[8,2,7,1,4,6,5,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[7,6,1,8,4,3,2,5]=>[2,3,8,1,5,6,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[8,6,1,7,4,2,5,3]=>[1,3,8,2,5,7,4,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,1,2,7,3,4,6,5]=>[1,8,7,2,6,5,3,4]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[7,1,2,8,3,5,4,6]=>[2,8,7,1,6,4,5,3]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[7,2,6,1,8,4,3,5]=>[2,7,3,8,1,5,6,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[8,2,6,1,7,3,5,4]=>[1,7,3,8,2,6,4,5]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[8,3,1,4,7,5,6,2]=>[1,6,8,5,2,4,3,7]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[4,2,1,5,8,3,6,7]=>[5,7,8,4,1,6,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,4,2,7,1,8,3,6]=>[4,5,7,2,8,1,6,3]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[4,7,5,6,8,3,2,1]=>[5,2,4,3,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[6,5,1,8,7,4,2,3]=>[3,4,8,1,2,5,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,6,4,7,5,3,2,1]=>[1,3,5,2,4,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[5,4,8,1,7,2,6,3]=>[4,5,1,8,2,7,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[3,6,8,2,4,7,5,1]=>[6,3,1,7,5,2,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[5,7,3,8,2,6,4,1]=>[4,2,6,1,7,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,4,6,8,2,7,3,1]=>[4,5,3,1,7,2,6,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[3,6,8,1,7,2,5,4]=>[6,3,1,8,2,7,4,5]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[2,3,8,7,4,5,6,1]=>[7,6,1,2,5,4,3,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[7,2,8,6,4,3,5,1]=>[2,7,1,3,5,6,4,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[2,1,8,7,5,6,3,4]=>[7,8,1,2,4,3,6,5]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[8,2,7,6,3,5,4,1]=>[1,7,2,3,6,4,5,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[8,1,7,6,5,2,4,3]=>[1,8,2,3,4,7,5,6]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[7,1,8,6,5,3,2,4]=>[2,8,1,3,4,6,7,5]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[1,2,8,7,6,3,4,5]=>[8,7,1,2,3,6,5,4]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[1,3,8,7,4,6,2,5]=>[8,6,1,2,5,3,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,5,8,3,7,6,2,4]=>[8,4,1,6,2,3,7,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[6,8,7,2,5,4,3,1]=>[3,1,2,7,4,5,6,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[3,8,7,6,4,5,2,1]=>[6,1,2,3,5,4,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[2,8,7,6,5,3,4,1]=>[7,1,2,3,4,6,5,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[1,8,7,6,5,4,2,3]=>[8,1,2,3,4,5,7,6]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[5,8,6,7,3,4,1,2]=>[4,1,3,2,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,8,6,7,3,5,1,2]=>[5,1,3,2,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,8,6,7,4,5,1,2]=>[6,1,3,2,5,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,8,6,7,4,5,1,3]=>[7,1,3,2,5,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[1,8,6,7,4,5,2,3]=>[8,1,3,2,5,4,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[1,8,5,7,4,6,2,3]=>[8,1,4,2,5,3,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,8,5,7,4,6,1,2]=>[6,1,4,2,5,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,8,5,7,3,6,1,2]=>[5,1,4,2,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[7,8,3,6,4,5,1,2]=>[2,1,6,3,5,4,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,3,7,4,5,1,2]=>[3,1,6,2,5,4,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,8,3,7,4,6,1,2]=>[4,1,6,2,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[3,7,4,8,5,6,1,2]=>[6,2,5,1,4,3,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[4,7,3,8,5,6,1,2]=>[5,2,6,1,4,3,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[4,7,2,8,5,6,1,3]=>[5,2,7,1,4,3,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[4,7,1,8,5,6,2,3]=>[5,2,8,1,4,3,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[3,7,2,8,5,6,1,4]=>[6,2,7,1,4,3,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[2,7,3,8,5,6,1,4]=>[7,2,6,1,4,3,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,7,4,8,5,6,1,3]=>[7,2,5,1,4,3,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[5,8,2,7,4,6,1,3]=>[4,1,7,2,5,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,2,7,4,5,1,3]=>[3,1,7,2,5,4,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[7,8,2,6,4,5,1,3]=>[2,1,7,3,5,4,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[7,8,1,6,4,5,2,3]=>[2,1,8,3,5,4,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,1,7,4,5,2,3]=>[3,1,8,2,5,4,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,8,1,7,4,6,2,3]=>[4,1,8,2,5,3,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[1,7,4,8,5,6,2,3]=>[8,2,5,1,4,3,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,8,5,6,1,7,3,4]=>[7,1,4,3,8,2,6,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,8,5,6,2,7,3,4]=>[8,1,4,3,7,2,6,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,7,3,8,4,6,2,5]=>[8,2,6,1,5,3,7,4]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[4,8,1,7,3,6,2,5]=>[5,1,8,2,6,3,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,8,1,7,3,6,2,4]=>[4,1,8,2,6,3,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,1,7,3,5,2,4]=>[3,1,8,2,6,4,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[7,8,2,6,3,5,1,4]=>[2,1,7,3,6,4,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,2,7,3,5,1,4]=>[3,1,7,2,6,4,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,8,2,7,3,6,1,4]=>[4,1,7,2,6,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,8,2,7,3,6,1,5]=>[5,1,7,2,6,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,7,3,8,4,6,1,5]=>[7,2,6,1,5,3,8,4]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[3,7,2,8,4,6,1,5]=>[6,2,7,1,5,3,8,4]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[3,7,1,8,4,6,2,5]=>[6,2,8,1,5,3,7,4]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[1,8,4,7,3,6,2,5]=>[8,1,5,2,6,3,7,4]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,8,4,7,3,6,1,5]=>[7,1,5,2,6,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,8,4,7,2,6,1,5]=>[6,1,5,2,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,8,5,7,2,6,1,3]=>[5,1,4,2,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,8,5,7,2,6,1,4]=>[6,1,4,2,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,8,5,7,3,6,1,4]=>[7,1,4,2,6,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[1,8,5,7,3,6,2,4]=>[8,1,4,2,6,3,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[1,8,6,7,3,5,2,4]=>[8,1,3,2,6,4,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,8,6,7,3,5,1,4]=>[7,1,3,2,6,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,8,6,7,2,5,1,4]=>[6,1,3,2,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,8,6,7,2,5,1,3]=>[5,1,3,2,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,8,6,7,2,4,1,3]=>[4,1,3,2,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[6,8,5,7,1,4,2,3]=>[3,1,4,2,8,5,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,8,6,7,1,4,2,3]=>[4,1,3,2,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,8,6,7,1,5,2,3]=>[5,1,3,2,8,4,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[3,8,6,7,1,5,2,4]=>[6,1,3,2,8,4,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[1,5,2,8,6,7,3,4]=>[8,4,7,1,3,2,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,5,1,8,6,7,3,4]=>[7,4,8,1,3,2,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,6,1,8,5,7,3,4]=>[7,3,8,1,4,2,6,5]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[1,6,2,8,5,7,3,4]=>[8,3,7,1,4,2,6,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[3,8,5,7,1,6,2,4]=>[6,1,4,2,8,3,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[6,8,4,7,1,5,2,3]=>[3,1,5,2,8,4,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,8,4,6,1,5,2,3]=>[2,1,5,3,8,4,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,8,3,6,1,5,2,4]=>[2,1,6,3,8,4,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,8,3,7,1,5,2,4]=>[3,1,6,2,8,4,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,8,3,7,1,6,2,5]=>[5,1,6,2,8,3,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[3,8,4,7,1,6,2,5]=>[6,1,5,2,8,3,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[1,6,2,8,4,7,3,5]=>[8,3,7,1,5,2,6,4]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,6,1,8,4,7,3,5]=>[7,3,8,1,5,2,6,4]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[3,7,2,6,1,8,4,5]=>[6,2,7,3,8,1,5,4]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[3,7,1,6,2,8,4,5]=>[6,2,8,3,7,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,8,1,6,2,7,3,5]=>[5,1,8,3,7,2,6,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[5,8,1,6,2,7,3,4]=>[4,1,8,3,7,2,6,5]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[7,8,1,5,2,6,3,4]=>[2,1,8,4,7,3,6,5]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,8,2,5,1,6,3,4]=>[2,1,7,4,8,3,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[6,8,2,5,1,7,3,4]=>[3,1,7,4,8,2,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[5,8,2,6,1,7,3,4]=>[4,1,7,3,8,2,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[4,8,2,6,1,7,3,5]=>[5,1,7,3,8,2,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[1,7,3,6,2,8,4,5]=>[8,2,6,3,7,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,7,3,6,1,8,4,5]=>[7,2,6,3,8,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9]
[1,2,3,4,5,6,8,9,7]=>[9,8,7,6,5,4,2,1,3]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[1,2,3,4,5,7,8,9,6]=>[9,8,7,6,5,3,2,1,4]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[1,2,3,4,6,7,8,9,5]=>[9,8,7,6,4,3,2,1,5]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[1,2,3,5,6,7,8,9,4]=>[9,8,7,5,4,3,2,1,6]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[1,2,4,5,6,7,8,9,3]=>[9,8,6,5,4,3,2,1,7]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[1,3,4,5,6,7,8,9,2]=>[9,7,6,5,4,3,2,1,8]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,1]
[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[1,2,3,4,5,6,9,8,7]=>[9,8,7,6,5,4,1,2,3]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[1,2,3,4,5,6,7,9,10,8]=>[10,9,8,7,6,5,4,2,1,3]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[1,2,3,4,5,8,7,9,6]=>[9,8,7,6,5,2,3,1,4]=>[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[6,2,1]
[1,2,3,4,5,6,8,9,10,7]=>[10,9,8,7,6,5,3,2,1,4]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[1,2,3,4,5,7,8,9,10,6]=>[10,9,8,7,6,4,3,2,1,5]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[1,2,3,4,6,7,8,9,10,5]=>[10,9,8,7,5,4,3,2,1,6]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[1,2,3,5,6,7,8,9,10,4]=>[10,9,8,6,5,4,3,2,1,7]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[1,2,4,5,6,7,8,9,10,3]=>[10,9,7,6,5,4,3,2,1,8]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[3,2,4,5,6,7,8,9,1]=>[7,8,6,5,4,3,2,1,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[1,3,4,5,6,7,8,9,10,2]=>[10,8,7,6,5,4,3,2,1,9]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[6,7,4,8,3,5,1,2]=>[3,2,5,1,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[6,7,4,5,2,8,1,3]=>[3,2,5,4,7,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,7,4,6,2,3,1,8]=>[4,2,5,3,7,6,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,7,4,6,3,8,1,2]=>[4,2,5,3,6,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,7,4,8,3,6,1,2]=>[4,2,5,1,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[6,8,4,5,3,7,1,2]=>[3,1,5,4,6,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,8,4,6,3,7,1,2]=>[4,1,5,3,6,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,6,4,8,3,7,1,2]=>[4,3,5,1,6,2,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,6,3,7,2,4,1,8]=>[4,3,6,2,7,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[5,6,3,7,2,8,1,4]=>[4,3,6,2,7,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,6,3,8,2,7,1,4]=>[4,3,6,1,7,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,6,4,8,2,7,1,3]=>[4,3,5,1,7,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,8,4,6,2,7,1,3]=>[4,1,5,3,7,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,4,5,2,7,1,3]=>[3,1,5,4,7,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[7,8,4,5,2,6,1,3]=>[2,1,5,4,7,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,4,5,2,3,1,7]=>[3,1,5,4,7,6,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,8,4,6,2,3,1,7]=>[4,1,5,3,7,6,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,6,4,8,2,3,1,7]=>[4,3,5,1,7,6,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[5,6,3,8,2,4,1,7]=>[4,3,6,1,7,5,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[5,6,3,4,2,8,1,7]=>[4,3,6,5,7,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,6,3,5,2,7,1,8]=>[5,3,6,4,7,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,6,3,5,2,8,1,7]=>[5,3,6,4,7,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,6,3,8,2,5,1,7]=>[5,3,6,1,7,4,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,8,3,6,2,5,1,7]=>[5,1,6,3,7,4,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,8,3,6,2,4,1,7]=>[4,1,6,3,7,5,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,8,3,5,2,4,1,7]=>[3,1,6,4,7,5,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,8,3,5,2,4,1,6]=>[2,1,6,4,7,5,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,8,3,5,2,6,1,4]=>[2,1,6,4,7,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,8,3,6,2,7,1,4]=>[4,1,6,3,7,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,8,3,6,2,7,1,5]=>[5,1,6,3,7,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,6,3,8,2,7,1,5]=>[5,3,6,1,7,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,6,3,7,2,8,1,5]=>[5,3,6,2,7,1,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,7,3,6,2,5,1,8]=>[5,2,6,3,7,4,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,7,3,6,2,8,1,5]=>[5,2,6,3,7,1,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,7,3,8,2,6,1,5]=>[5,2,6,1,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,7,4,8,2,6,1,3]=>[4,2,5,1,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,7,3,6,2,8,1,4]=>[4,2,6,3,7,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,7,3,6,2,4,1,8]=>[4,2,6,3,7,5,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,7,3,5,2,4,1,8]=>[3,2,6,4,7,5,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,7,3,5,2,8,1,4]=>[3,2,6,4,7,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,7,4,8,2,5,1,3]=>[3,2,5,1,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[6,7,5,8,2,4,1,3]=>[3,2,4,1,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[6,8,5,7,2,3,1,4]=>[3,1,4,2,7,6,8,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,7,4,8,2,3,1,5]=>[3,2,5,1,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[6,7,3,8,2,4,1,5]=>[3,2,6,1,7,5,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[6,7,3,4,2,8,1,5]=>[3,2,6,5,7,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[5,7,3,4,2,6,1,8]=>[4,2,6,5,7,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,7,3,4,2,8,1,6]=>[4,2,6,5,7,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[5,7,4,8,2,3,1,6]=>[4,2,5,1,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[5,8,4,7,2,3,1,6]=>[4,1,5,2,7,6,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,8,4,7,2,3,1,5]=>[3,1,5,2,7,6,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,8,4,6,2,3,1,5]=>[2,1,5,3,7,6,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,8,3,6,2,4,1,5]=>[2,1,6,3,7,5,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,8,3,7,2,4,1,5]=>[3,1,6,2,7,5,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,8,3,7,2,4,1,6]=>[4,1,6,2,7,5,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,8,3,7,2,5,1,6]=>[5,1,6,2,7,4,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,7,3,8,2,5,1,6]=>[5,2,6,1,7,4,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,7,3,5,2,8,1,6]=>[5,2,6,4,7,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,7,3,5,2,6,1,8]=>[5,2,6,4,7,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,5,3,7,2,6,1,8]=>[5,4,6,2,7,3,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,5,3,7,2,8,1,6]=>[5,4,6,2,7,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,5,3,8,2,7,1,6]=>[5,4,6,1,7,2,8,3]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,8,3,5,2,7,1,6]=>[5,1,6,4,7,2,8,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,8,3,4,2,7,1,6]=>[4,1,6,5,7,2,8,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,3,4,2,7,1,5]=>[3,1,6,5,7,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[7,8,3,4,2,6,1,5]=>[2,1,6,5,7,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,3,4,2,5,1,7]=>[3,1,6,5,7,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,8,3,4,2,6,1,7]=>[4,1,6,5,7,3,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,8,3,5,2,6,1,7]=>[5,1,6,4,7,3,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,5,3,8,2,6,1,7]=>[5,4,6,1,7,3,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,5,3,6,2,8,1,7]=>[5,4,6,3,7,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,7,5,2,1,8,3,6]=>[5,2,4,7,8,1,6,3]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[4,8,5,2,1,7,6,3]=>[5,1,4,7,8,2,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[4,6,5,2,1,3,8,7]=>[5,3,4,7,8,6,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[5,6,4,2,3,1,8,7]=>[4,3,5,7,6,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[6,4,5,3,1,2,8,7]=>[3,5,4,6,8,7,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[5,4,6,1,3,2,8,7]=>[4,5,3,8,6,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[4,6,8,1,7,3,2,5]=>[5,3,1,8,2,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,7,8,1,6,3,5,2]=>[5,2,1,8,3,6,4,7]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[7,4,8,1,6,5,3,2]=>[2,5,1,8,3,4,6,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[5,4,8,1,3,7,6,2]=>[4,5,1,8,6,2,3,7]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[8,4,5,3,1,7,6,2]=>[1,5,4,6,8,2,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[5,4,7,1,3,8,2,6]=>[4,5,2,8,6,1,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[6,4,8,1,7,5,2,3]=>[3,5,1,8,2,4,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[5,6,8,7,2,1,3,4]=>[4,3,1,2,7,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,5,7,6,4,2,1,3]=>[1,4,2,3,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[8,4,6,3,7,2,1,5]=>[1,5,3,6,2,7,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[6,3,2,8,7,4,1,5]=>[3,6,7,1,2,5,8,4]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[2,1,6,8,7,4,3,5]=>[7,8,3,1,2,5,6,4]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[2,1,7,8,6,4,5,3]=>[7,8,2,1,3,5,4,6]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[7,3,2,8,6,4,5,1]=>[2,6,7,1,3,5,4,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[7,6,8,5,2,4,3,1]=>[2,3,1,4,7,5,6,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[5,7,8,6,2,3,1,4]=>[4,2,1,3,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[5,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[6,8,7,5,3,2,4,1]=>[3,1,2,4,6,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[5,8,4,2,3,7,6,1]=>[4,1,5,7,6,2,3,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[7,8,4,2,6,5,3,1]=>[2,1,5,7,3,4,6,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[4,8,7,2,6,3,5,1]=>[5,1,2,7,3,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[4,8,6,2,7,3,1,5]=>[5,1,3,7,2,6,8,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[3,6,1,8,7,4,2,5]=>[6,3,8,1,2,5,7,4]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[3,7,1,8,6,4,5,2]=>[6,2,8,1,3,5,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[3,8,1,6,7,5,2,4]=>[6,1,8,3,2,4,7,5]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[3,7,1,6,8,2,5,4]=>[6,2,8,3,1,7,4,5]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[4,7,6,2,8,1,3,5]=>[5,2,3,7,1,8,6,4]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[6,7,4,2,8,1,5,3]=>[3,2,5,7,1,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[6,8,4,2,7,5,1,3]=>[3,1,5,7,2,4,8,6]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[2,1,8,6,7,5,3,4]=>[7,8,1,3,2,4,6,5]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[8,3,2,6,7,5,1,4]=>[1,6,7,3,2,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,6,4,3,7,5,1,2]=>[1,3,5,6,2,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[5,8,6,7,3,1,2,4]=>[4,1,3,2,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[6,7,5,8,1,3,4,2]=>[3,2,4,1,8,6,5,7]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[7,6,5,8,1,4,3,2]=>[2,3,4,1,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[8,6,5,7,4,1,3,2]=>[1,3,4,2,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[7,6,4,3,8,1,5,2]=>[2,3,5,6,1,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[7,3,2,6,8,1,5,4]=>[2,6,7,3,1,8,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[2,1,7,6,8,3,5,4]=>[7,8,2,3,1,6,4,5]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,5,6,8,1,4,2,3]=>[2,4,3,1,8,5,7,6]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[6,5,7,8,1,2,4,3]=>[3,4,2,1,8,7,5,6]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[8,1,3,7,4,6,5,2]=>[1,8,6,2,5,3,4,7]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[5,2,8,7,4,6,1,3]=>[4,7,1,2,5,3,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[1,6,2,5,4,7,3,8]=>[8,3,7,4,5,2,6,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[6,2,7,5,4,8,3,1]=>[3,7,2,4,5,1,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[8,1,3,5,4,7,6,2]=>[1,8,6,4,5,2,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,1,5,4,3,8,7,2]=>[3,8,4,5,6,1,2,7]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[6,1,8,3,4,5,7,2]=>[3,8,1,6,5,4,2,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[7,1,5,3,4,8,6,2]=>[2,8,4,6,5,1,3,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[7,1,4,3,5,6,8,2]=>[2,8,5,6,4,3,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[8,1,3,4,5,6,7,2]=>[1,8,6,5,4,3,2,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[1,7,2,4,5,6,3,8]=>[8,2,7,5,4,3,6,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[6,3,2,7,5,1,8,4]=>[3,6,7,2,4,8,1,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,4,7,2,5,6,1,3]=>[1,5,2,7,4,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[6,5,8,2,4,7,3,1]=>[3,4,1,7,5,2,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,5,2,1,4,3,7,6]=>[1,4,7,8,5,6,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[6,5,2,8,4,1,3,7]=>[3,4,7,1,5,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,6,2,1,4,8,3,7]=>[4,3,7,8,5,1,6,2]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[3,6,1,8,5,2,4,7]=>[6,3,8,1,4,7,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[1,2,6,3,5,4,7,8]=>[8,7,3,6,4,5,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[3,4,1,2,8,6,5,7]=>[6,5,8,7,1,3,4,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[4,3,1,2,6,8,5,7]=>[5,6,8,7,3,1,4,2]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[5,8,1,6,3,2,4,7]=>[4,1,8,3,6,7,5,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[6,3,8,5,2,1,4,7]=>[3,6,1,4,7,8,5,2]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[8,3,1,5,2,4,7,6]=>[1,6,8,4,7,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[3,8,2,6,1,5,7,4]=>[6,1,7,3,8,4,2,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[3,8,6,7,2,1,5,4]=>[6,1,3,2,7,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[8,5,6,4,2,1,7,3]=>[1,4,3,5,7,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[7,2,5,8,3,1,6,4]=>[2,7,4,1,6,8,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[1,7,5,6,3,2,4,8]=>[8,2,4,3,6,7,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[6,1,2,3,8,5,7,4]=>[3,8,7,6,1,4,2,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[7,1,2,3,6,5,8,4]=>[2,8,7,6,3,4,1,5]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[7,2,1,3,8,6,4,5]=>[2,7,8,6,1,3,5,4]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[5,2,7,3,1,8,4,6]=>[4,7,2,6,8,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[5,8,2,4,1,3,7,6]=>[4,1,7,5,8,6,2,3]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[8,7,2,6,3,4,1,5]=>[1,2,7,3,6,5,8,4]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[4,8,1,6,3,2,7,5]=>[5,1,8,3,6,7,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,1,8,6,4,2,7,5]=>[6,8,1,3,5,7,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[8,1,6,7,4,3,2,5]=>[1,8,3,2,5,6,7,4]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[3,5,8,7,2,4,1,6]=>[6,4,1,2,7,5,8,3]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,2,1,3,7,8,5,6]=>[5,7,8,6,2,1,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[2,4,1,3,8,7,5,6]=>[7,5,8,6,1,2,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[2,5,8,3,1,7,4,6]=>[7,4,1,6,8,2,5,3]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[8,6,1,3,7,2,4,5]=>[1,3,8,6,2,7,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[2,8,1,3,6,4,7,5]=>[7,1,8,6,3,5,2,4]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[6,8,2,3,4,1,5,7]=>[3,1,7,6,5,8,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,1,8,3,2,4,6,7]=>[4,8,1,6,7,5,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9]]=>[9]
[8,9,7,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[8,7,9,6,5,4,3,2,1]=>[2,3,1,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,6]
[8,7,6,5,4,3,2,9,1]=>[2,3,4,5,6,7,8,1,9]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1]
[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[9,10,8,7,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[7,8,9,6,5,4,3,2,1]=>[3,2,1,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[9,8,10,7,6,5,4,3,2,1]=>[2,3,1,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,7]
[8,6,7,9,5,4,3,2,1]=>[2,4,3,1,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,5]
[9,8,7,10,6,5,4,3,2,1]=>[2,3,4,1,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,6]
[9,8,7,6,10,5,4,3,2,1]=>[2,3,4,5,1,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[5,5]
[9,8,7,6,5,10,4,3,2,1]=>[2,3,4,5,6,1,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]=>[6,4]
[9,8,7,6,5,4,10,3,2,1]=>[2,3,4,5,6,7,1,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,3]
[8,7,6,5,4,2,3,9,1]=>[2,3,4,5,6,8,7,1,9]=>[[1,2,3,4,5,6,9],[7],[8]]=>[8,1]
[9,8,7,6,5,4,3,10,2,1]=>[2,3,4,5,6,7,8,1,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,2]
[8,7,6,5,4,3,1,2,9]=>[2,3,4,5,6,7,9,8,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[9,8,7,6,5,4,3,2,10,1]=>[2,3,4,5,6,7,8,9,1,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1]
[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[1,4,2,7,8,6,3,5]=>[8,5,7,2,1,3,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[1,6,2,4,8,5,3,7]=>[8,3,7,5,1,4,6,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[1,6,2,4,7,5,3,8]=>[8,3,7,5,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[1,7,3,8,5,2,4,6]=>[8,2,6,1,4,7,5,3]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[1,7,3,2,8,6,4,5]=>[8,2,6,7,1,3,5,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[4,2,5,7,8,6,1,3]=>[5,7,4,2,1,3,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[7,2,3,1,8,5,6,4]=>[2,7,6,8,1,4,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[8,2,5,1,7,3,4,6]=>[1,7,4,8,2,6,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[6,2,1,8,3,4,7,5]=>[3,7,8,1,6,5,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[6,2,8,3,5,1,7,4]=>[3,7,1,6,4,8,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[6,2,4,8,5,7,1,3]=>[3,7,5,1,4,2,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[1,3,6,4,8,5,7,2]=>[8,6,3,5,1,4,2,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,3,6,4,7,5,8,2]=>[8,6,3,5,2,4,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[6,2,4,7,5,8,1,3]=>[3,7,5,2,4,1,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[6,2,1,3,7,8,4,5]=>[3,7,8,6,2,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[7,8,2,1,4,3,5,6]=>[2,1,7,8,5,6,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[7,6,4,2,3,1,8,5]=>[2,3,5,7,6,8,1,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[5,7,2,3,1,6,8,4]=>[4,2,7,6,8,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[7,5,4,2,6,8,1,3]=>[2,4,5,7,3,1,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,7,5,3,4,6,8,2]=>[8,2,4,6,5,3,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[8,2,5,4,6,7,1,3]=>[1,7,4,5,3,2,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[5,2,6,3,1,8,7,4]=>[4,7,3,6,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[8,2,6,4,3,1,7,5]=>[1,7,3,5,6,8,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[8,2,7,4,1,3,5,6]=>[1,7,2,5,8,6,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[1,7,4,2,3,5,6,8]=>[8,2,5,7,6,4,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[6,8,4,1,3,2,5,7]=>[3,1,5,8,6,7,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[1,8,7,4,3,2,5,6]=>[8,1,2,5,6,7,4,3]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[1,6,3,8,2,4,7,5]=>[8,3,6,1,7,5,2,4]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[5,3,8,1,2,7,4,6]=>[4,6,1,8,7,2,5,3]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[5,1,8,3,2,6,4,7]=>[4,8,1,6,7,3,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[5,7,3,1,2,6,4,8]=>[4,2,6,8,7,3,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[1,7,5,4,2,6,3,8]=>[8,2,4,5,7,3,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,5,8,2,4,6,3,7]=>[8,4,1,7,5,3,6,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[1,5,8,4,2,7,3,6]=>[8,4,1,5,7,2,6,3]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,3,1,6,7,2,4,8]=>[4,6,8,3,2,7,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,3,6,1,2,8,4,7]=>[4,6,3,8,7,1,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[1,6,3,2,7,8,4,5]=>[8,3,6,7,2,1,5,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[1,7,4,5,3,8,6,2]=>[8,2,5,4,6,1,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,3,4,1,2,5,8,7]=>[3,6,5,8,7,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[6,3,1,4,2,7,5,8]=>[3,6,8,5,7,2,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[8,6,3,2,4,1,7,5]=>[1,3,6,7,5,8,2,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,5,3,2,6,7,1,4]=>[1,4,6,7,3,2,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[4,5,2,6,8,1,7,3]=>[5,4,7,3,1,8,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[4,2,5,6,7,8,1,3]=>[5,7,4,3,2,1,8,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[5,2,3,6,7,1,8,4]=>[4,7,6,3,2,8,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[6,2,3,4,1,7,8,5]=>[3,7,6,5,8,2,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[7,2,3,1,4,5,8,6]=>[2,7,6,8,5,4,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[8,6,1,4,3,2,5,7]=>[1,3,8,5,6,7,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[8,3,1,6,5,2,4,7]=>[1,6,8,3,4,7,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,7,5,1,8,2,4,6]=>[6,2,4,8,1,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[4,1,5,2,8,7,3,6]=>[5,8,4,7,1,2,6,3]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[8,1,2,4,6,5,3,7]=>[1,8,7,5,3,4,6,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[8,1,2,5,4,6,3,7]=>[1,8,7,4,5,3,6,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[8,2,6,5,1,3,4,7]=>[1,7,3,4,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,3,1,6,2,5,4,7]=>[1,6,8,3,7,4,5,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,1,2,6,4,5,3,7]=>[1,8,7,3,5,4,6,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[8,1,2,5,6,4,3,7]=>[1,8,7,4,3,5,6,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[8,1,2,6,5,4,3,7]=>[1,8,7,3,4,5,6,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[1,7,5,4,2,8,3,6]=>[8,2,4,5,7,1,6,3]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,1,4,8,2,7,3,6]=>[4,8,5,1,7,2,6,3]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[1,4,6,8,2,7,3,5]=>[8,5,3,1,7,2,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[1,4,7,6,2,8,3,5]=>[8,5,2,3,7,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[5,1,4,7,2,8,3,6]=>[4,8,5,2,7,1,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[1,7,4,5,2,8,3,6]=>[8,2,5,4,7,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[3,7,5,1,2,8,4,6]=>[6,2,4,8,7,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,7,2,8,1,3,4,6]=>[4,2,7,1,8,6,5,3]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[5,2,8,7,1,3,4,6]=>[4,7,1,2,8,6,5,3]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[4,1,5,8,2,7,3,6]=>[5,8,4,1,7,2,6,3]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[1,4,6,2,8,7,3,5]=>[8,5,3,7,1,2,6,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[1,4,2,8,6,7,3,5]=>[8,5,7,1,3,2,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,1,2,6,4,8,7,5]=>[6,8,7,3,5,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[2,1,7,6,3,4,8,5]=>[7,8,2,3,6,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,1,2,7,4,6,8,5]=>[6,8,7,2,5,3,1,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[1,4,7,2,6,8,3,5]=>[8,5,2,7,3,1,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[1,2,3,6,8,5,7,4]=>[8,7,6,3,1,4,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[5,1,4,2,7,8,3,6]=>[4,8,5,7,2,1,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,4,2,7,6,8,3,5]=>[8,5,7,2,3,1,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,4,2,6,8,7,3,5]=>[8,5,7,3,1,2,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[3,1,2,8,4,6,7,5]=>[6,8,7,1,5,3,2,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[3,1,2,7,6,4,8,5]=>[6,8,7,2,3,5,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[5,3,7,1,8,2,4,6]=>[4,6,2,8,1,7,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[1,7,4,3,2,5,8,6]=>[8,2,5,6,7,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[4,8,7,2,1,3,5,6]=>[5,1,2,7,8,6,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[1,8,7,3,4,2,5,6]=>[8,1,2,6,5,7,4,3]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[3,1,7,8,2,6,4,5]=>[6,8,2,1,7,3,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[1,4,2,7,8,3,6,5]=>[8,5,7,2,1,6,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,2,8,1,3,4,7,6]=>[4,7,1,8,6,5,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[2,1,8,6,3,4,7,5]=>[7,8,1,3,6,5,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[1,4,2,6,8,3,7,5]=>[8,5,7,3,1,6,2,4]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[1,2,3,7,8,5,6,4]=>[8,7,6,2,1,4,3,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[1,2,3,7,5,8,6,4]=>[8,7,6,2,4,1,3,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,4,2,7,3,8,6,5]=>[8,5,7,2,6,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[3,1,7,2,8,6,4,5]=>[6,8,2,7,1,3,5,4]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[2,1,7,8,3,4,6,5]=>[7,8,2,1,6,5,3,4]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[1,2,3,8,7,5,6,4]=>[8,7,6,1,2,4,3,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[10,1,2,3,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[9,1,10,2,3,4,5,6,7,8]=>[2,10,1,9,8,7,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>[3,7]
[10,9,1,2,3,4,5,6,7,8]=>[1,2,10,9,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[5,7,8,4,2,6,1,3]=>[4,2,1,5,7,3,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[6,7,8,4,2,5,1,3]=>[3,2,1,5,7,4,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[8,6,3,7,2,1,5,4]=>[1,3,6,2,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[7,6,3,8,2,1,5,4]=>[2,3,6,1,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[6,7,8,3,2,1,5,4]=>[3,2,1,6,7,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[2,7,8,4,3,5,6,1]=>[7,2,1,5,6,4,3,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[3,7,8,4,2,5,1,6]=>[6,2,1,5,7,4,8,3]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[4,7,8,3,2,1,5,6]=>[5,2,1,6,7,8,4,3]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[5,6,3,8,2,1,4,7]=>[4,3,6,1,7,8,5,2]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[3,6,4,8,2,5,1,7]=>[6,3,5,1,7,4,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,6,4,7,3,5,8,1]=>[7,3,5,2,6,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,6,3,7,2,1,4,8]=>[4,3,6,2,7,8,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[8,4,3,2,1,6,5,7]=>[1,5,6,7,8,3,4,2]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[6,4,3,2,1,7,5,8]=>[3,5,6,7,8,2,4,1]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[4,5,3,2,7,1,6,8]=>[5,4,6,7,2,8,3,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[3,5,4,2,8,6,1,7]=>[6,4,5,7,1,3,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[6,4,3,2,1,8,5,7]=>[3,5,6,7,8,1,4,2]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,4,3,2,1,7,5,6]=>[1,5,6,7,8,2,4,3]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,4,3,2,1,7,6,5]=>[1,5,6,7,8,2,3,4]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[7,4,3,2,1,8,6,5]=>[2,5,6,7,8,1,3,4]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,4,3,2,1,8,7,5]=>[3,5,6,7,8,1,2,4]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[8,5,4,2,7,6,1,3]=>[1,4,5,7,2,3,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[6,5,4,2,8,7,1,3]=>[3,4,5,7,1,2,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[8,5,3,2,6,1,7,4]=>[1,4,6,7,3,8,2,5]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[7,5,3,2,6,1,8,4]=>[2,4,6,7,3,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[3,5,4,2,7,8,1,6]=>[6,4,5,7,2,1,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[4,5,3,2,7,1,8,6]=>[5,4,6,7,2,8,1,3]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[7,4,3,2,1,6,8,5]=>[2,5,6,7,8,3,1,4]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,4,3,2,1,6,7,5]=>[1,5,6,7,8,3,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,4,3,2,1,5,7,6]=>[1,5,6,7,8,4,2,3]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,4,3,2,1,5,8,6]=>[2,5,6,7,8,4,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,4,3,2,1,5,8,7]=>[3,5,6,7,8,4,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[3,2,6,4,8,5,1,7]=>[6,7,3,5,1,4,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[3,2,5,8,4,6,1,7]=>[6,7,4,1,5,3,8,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[3,5,2,4,1,7,6,8]=>[6,4,7,5,8,2,3,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,2,1,5,7,3,6,8]=>[5,7,8,4,2,6,3,1]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,2,5,3,8,1,6,7]=>[5,7,4,6,1,8,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[4,2,5,8,3,1,6,7]=>[5,7,4,1,6,8,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,1,5,3,8,2,6,7]=>[5,8,4,6,1,7,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[4,1,5,8,3,2,6,7]=>[5,8,4,1,6,7,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,3,8,5,2,1,6,7]=>[5,6,1,4,7,8,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,6,3,2,5,1,7,8]=>[5,3,6,7,4,8,2,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[2,5,1,4,3,7,8,6]=>[7,4,8,5,6,2,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[5,2,1,4,3,7,8,6]=>[4,7,8,5,6,2,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[4,3,1,5,7,2,6,8]=>[5,6,8,4,2,7,3,1]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,3,6,1,5,2,7,8]=>[5,6,3,8,4,7,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[4,3,6,1,7,2,5,8]=>[5,6,3,8,2,7,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[6,2,4,1,3,7,8,5]=>[3,7,5,8,6,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[3,6,4,1,2,7,5,8]=>[6,3,5,8,7,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,6,2,7,1,3,4,8]=>[4,3,7,2,8,6,5,1]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,6,2,1,7,3,5,8]=>[5,3,7,8,2,6,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[3,2,6,1,4,7,5,8]=>[6,7,3,8,5,2,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[3,7,2,4,8,5,1,6]=>[6,2,7,5,1,4,8,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[7,3,1,4,6,8,2,5]=>[2,6,8,5,3,1,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[3,2,6,1,5,7,4,8]=>[6,7,3,8,4,2,5,1]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[6,3,2,1,5,7,4,8]=>[3,6,7,8,4,2,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,4,2,1,5,3,7,8]=>[3,5,7,8,4,6,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[7,4,1,5,6,2,3,8]=>[2,5,8,4,3,7,6,1]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[7,2,1,5,3,6,8,4]=>[2,7,8,4,6,3,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[6,2,5,1,3,7,8,4]=>[3,7,4,8,6,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[6,3,5,1,2,7,4,8]=>[3,6,4,8,7,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,4,5,1,7,2,3,8]=>[3,5,4,8,2,7,6,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[4,6,5,1,7,2,3,8]=>[5,3,4,8,2,7,6,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[3,6,5,1,2,7,4,8]=>[6,3,4,8,7,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[6,5,2,1,4,7,8,3]=>[3,4,7,8,5,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,5,3,1,4,7,2,8]=>[3,4,6,8,5,2,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[2,3,1,8,5,4,7,6]=>[7,6,8,1,4,5,2,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,4,1,5,8,3,7,6]=>[7,5,8,4,1,6,2,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,4,1,5,3,8,7,6]=>[7,5,8,4,6,1,2,3]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[3,4,5,1,2,8,7,6]=>[6,5,4,8,7,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,4,5,1,8,2,7,6]=>[6,5,4,8,1,7,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[1,8,4,5,3,2,7,6]=>[8,1,5,4,6,7,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[2,4,8,5,3,1,7,6]=>[7,5,1,4,6,8,2,3]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,4,5,8,2,1,7,6]=>[6,5,4,1,7,8,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[3,4,5,2,8,1,7,6]=>[6,5,4,7,1,8,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,4,6,2,1,7,8,5]=>[6,5,3,7,8,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[3,4,6,2,1,7,5,8]=>[6,5,3,7,8,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,5,6,2,7,1,4,8]=>[6,4,3,7,2,8,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[3,5,6,2,7,1,8,4]=>[6,4,3,7,2,8,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[3,5,6,2,7,8,1,4]=>[6,4,3,7,2,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[3,4,6,2,8,7,1,5]=>[6,5,3,7,1,2,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,4,6,8,2,7,1,5]=>[6,5,3,1,7,2,8,4]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[2,4,8,6,3,7,1,5]=>[7,5,1,3,6,2,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,8,4,6,3,7,2,5]=>[8,1,5,3,6,2,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,8,4,6,3,7,5,2]=>[8,1,5,3,6,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,4,6,8,2,7,5,1]=>[6,5,3,1,7,2,4,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[3,4,6,2,8,7,5,1]=>[6,5,3,7,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,5,6,2,7,8,4,1]=>[6,4,3,7,2,1,5,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[3,5,6,2,7,4,1,8]=>[6,4,3,7,2,5,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[4,5,6,7,2,8,3,1]=>[5,4,3,2,7,1,6,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,5,6,8,7,2,4,1]=>[6,4,3,1,2,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[2,5,8,6,7,3,4,1]=>[7,4,1,3,2,6,5,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,8,5,6,7,3,4,2]=>[8,1,4,3,2,6,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,8,5,6,7,3,2,4]=>[8,1,4,3,2,6,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[2,5,8,6,7,3,1,4]=>[7,4,1,3,2,6,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[3,5,6,8,7,2,1,4]=>[6,4,3,1,2,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,5,6,7,2,1,8,3]=>[5,4,3,2,7,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[3,4,6,1,8,7,2,5]=>[6,5,3,8,1,2,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,4,1,6,8,7,3,5]=>[7,5,8,3,1,2,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[2,3,1,8,6,7,4,5]=>[7,6,8,1,3,2,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,8,3,2,6,7,5,4]=>[8,1,6,7,3,2,4,5]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,5,1,6,7,8,4,3]=>[7,4,8,3,2,1,5,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,5,1,6,7,4,8,3]=>[7,4,8,3,2,5,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,5,1,6,7,4,3,8]=>[7,4,8,3,2,5,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[3,5,6,1,7,4,2,8]=>[6,4,3,8,2,5,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[3,5,6,1,7,4,8,2]=>[6,4,3,8,2,5,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,4,6,1,8,7,5,2]=>[6,5,3,8,1,2,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,4,6,8,1,7,5,2]=>[6,5,3,1,8,2,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,4,8,6,1,7,5,3]=>[7,5,1,3,8,2,4,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,8,4,6,2,7,5,3]=>[8,1,5,3,7,2,4,6]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,8,5,6,7,2,4,3]=>[8,1,4,3,2,7,5,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[2,5,8,6,7,1,4,3]=>[7,4,1,3,2,8,5,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,5,6,8,7,1,4,2]=>[6,4,3,1,2,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,5,6,7,8,1,3,2]=>[5,4,3,2,1,8,6,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[4,5,6,7,1,3,8,2]=>[5,4,3,2,8,6,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[4,5,6,7,1,3,2,8]=>[5,4,3,2,8,6,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[4,5,6,7,3,1,8,2]=>[5,4,3,2,6,8,1,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[3,5,6,8,7,4,1,2]=>[6,4,3,1,2,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,5,8,6,7,4,1,3]=>[7,4,1,3,2,5,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[1,8,5,6,7,4,2,3]=>[8,1,4,3,2,5,7,6]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[1,8,5,6,7,4,3,2]=>[8,1,4,3,2,5,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[2,5,8,6,7,4,3,1]=>[7,4,1,3,2,5,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[8,2,5,3,7,1,6,4]=>[1,7,4,6,2,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[8,2,4,3,7,1,6,5]=>[1,7,5,6,2,8,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[5,8,2,4,3,7,1,6]=>[4,1,7,5,6,2,8,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,2,5,6,1,8,3,7]=>[5,7,4,3,8,1,6,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[4,2,5,6,1,7,3,8]=>[5,7,4,3,8,2,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,1,5,7,3,2,4,8]=>[3,8,4,2,6,7,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,1,5,8,3,2,4,7]=>[3,8,4,1,6,7,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[3,8,2,4,7,1,5,6]=>[6,1,7,5,2,8,4,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[3,6,8,2,4,7,1,5]=>[6,3,1,7,5,2,8,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[4,3,5,6,7,1,8,2]=>[5,6,4,3,2,8,1,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[3,7,1,5,6,8,2,4]=>[6,2,8,4,3,1,7,5]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[3,7,1,5,8,2,4,6]=>[6,2,8,4,1,7,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[8,3,2,4,6,1,5,7]=>[1,6,7,5,3,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[7,3,2,4,6,1,5,8]=>[2,6,7,5,3,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[3,2,5,1,7,4,6,8]=>[6,7,4,8,2,5,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[3,2,5,1,8,4,6,7]=>[6,7,4,8,1,5,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[3,2,5,1,7,8,4,6]=>[6,7,4,8,2,1,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[7,8,3,2,4,6,1,5]=>[2,1,6,7,5,3,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[6,1,5,7,8,3,2,4]=>[3,8,4,2,1,6,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[4,2,5,6,1,7,8,3]=>[5,7,4,3,8,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[5,7,6,1,8,3,4,2]=>[4,2,3,8,1,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[5,8,6,1,7,3,4,2]=>[4,1,3,8,2,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[6,1,5,8,7,3,2,4]=>[3,8,4,1,2,6,7,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[8,7,3,2,4,6,1,5]=>[1,2,6,7,5,3,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[3,2,5,1,8,7,4,6]=>[6,7,4,8,1,2,5,3]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[3,2,5,1,6,4,7,8]=>[6,7,4,8,3,5,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[3,2,4,1,8,7,5,6]=>[6,7,5,8,1,2,4,3]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[3,2,5,1,6,8,7,4]=>[6,7,4,8,3,1,2,5]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[3,8,6,5,1,7,4,2]=>[6,1,3,4,8,2,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[3,7,6,5,1,8,4,2]=>[6,2,3,4,8,1,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[6,5,1,7,8,4,2,3]=>[3,4,8,2,1,5,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[3,2,5,1,6,7,8,4]=>[6,7,4,8,3,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[3,2,4,1,8,5,6,7]=>[6,7,5,8,1,4,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[3,2,4,1,7,5,6,8]=>[6,7,5,8,2,4,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[3,2,4,1,6,8,5,7]=>[6,7,5,8,3,1,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[3,2,4,1,8,5,7,6]=>[6,7,5,8,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[8,3,2,4,7,6,1,5]=>[1,6,7,5,2,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[3,2,5,1,8,4,7,6]=>[6,7,4,8,1,5,2,3]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[3,2,5,1,6,7,4,8]=>[6,7,4,8,3,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[6,5,1,7,4,2,3,8]=>[3,4,8,2,5,7,6,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,5,1,8,4,2,3,7]=>[3,4,8,1,5,7,6,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,4,2,3,7,5,1,6]=>[1,5,7,6,2,4,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[5,2,6,1,8,3,7,4]=>[4,7,3,8,1,6,2,5]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[8,4,6,1,7,3,5,2]=>[1,5,3,8,2,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[5,2,6,1,8,4,7,3]=>[4,7,3,8,1,5,2,6]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[7,4,2,3,8,5,1,6]=>[2,5,7,6,1,4,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,5,1,6,4,2,3,7]=>[1,4,8,3,5,7,6,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,5,1,6,4,2,3,8]=>[2,4,8,3,5,7,6,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,2,5,1,7,6,4,8]=>[6,7,4,8,2,3,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[3,2,5,1,8,6,4,7]=>[6,7,4,8,1,3,5,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,6,1,5,7,3,2,4]=>[1,3,8,4,2,6,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[4,2,6,1,8,5,7,3]=>[5,7,3,8,1,4,2,6]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[8,5,6,1,7,3,4,2]=>[1,4,3,8,2,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[3,6,8,5,1,7,4,2]=>[6,3,1,4,8,2,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[8,5,1,6,7,4,2,3]=>[1,4,8,3,2,5,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[3,2,5,1,8,6,7,4]=>[6,7,4,8,1,3,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[3,2,4,1,8,6,5,7]=>[6,7,5,8,1,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[3,2,4,1,5,8,6,7]=>[6,7,5,8,4,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[3,2,5,1,7,8,6,4]=>[6,7,4,8,2,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,8,5,1,6,4,2,3]=>[2,1,4,8,3,5,7,6]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[3,8,5,1,7,6,4,2]=>[6,1,4,8,2,3,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[3,7,5,1,8,6,4,2]=>[6,2,4,8,1,3,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[8,7,5,1,6,4,2,3]=>[1,2,4,8,3,5,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[3,2,5,1,8,7,6,4]=>[6,7,4,8,1,2,3,5]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[6,5,7,3,1,8,4,2]=>[3,4,2,6,8,1,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[4,6,3,7,1,8,5,2]=>[5,3,6,2,8,1,4,7]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[4,6,3,7,5,1,8,2]=>[5,3,6,2,4,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[4,2,6,1,7,5,3,8]=>[5,7,3,8,2,4,6,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[2,5,7,4,1,6,3,8]=>[7,4,2,5,8,3,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[2,5,7,4,1,6,8,3]=>[7,4,2,5,8,3,1,6]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[5,4,7,3,6,1,8,2]=>[4,5,2,6,3,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,4,7,8,3,1,6,2]=>[4,5,2,1,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[4,3,7,5,1,8,6,2]=>[5,6,2,4,8,1,3,7]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[6,4,3,8,5,1,7,2]=>[3,5,6,1,4,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[5,8,4,3,6,1,7,2]=>[4,1,5,6,3,8,2,7]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[5,4,8,3,6,1,7,2]=>[4,5,1,6,3,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,4,3,6,7,1,8,2]=>[4,5,6,3,2,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,5,4,6,1,7,3,8]=>[7,4,5,3,8,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,2,5,8,1,6,7,4]=>[6,7,4,1,8,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[2,5,4,6,8,1,7,3]=>[7,4,5,3,1,8,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[4,6,2,1,8,5,7,3]=>[5,3,7,8,1,4,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[2,4,1,7,5,8,6,3]=>[7,5,8,2,4,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,4,1,7,5,3,8,6]=>[7,5,8,2,4,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,6,4,1,8,5,3,7]=>[7,3,5,8,1,4,6,2]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[5,4,8,2,1,6,3,7]=>[4,5,1,7,8,3,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[2,5,8,4,1,6,3,7]=>[7,4,1,5,8,3,6,2]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[3,2,5,6,1,8,4,7]=>[6,7,4,3,8,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[4,8,3,2,6,1,5,7]=>[5,1,6,7,3,8,4,2]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[3,5,2,8,1,6,4,7]=>[6,4,7,1,8,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,2,1,6,8,5,4,7]=>[6,7,8,3,1,4,5,2]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[3,2,7,1,5,4,8,6]=>[6,7,2,8,4,5,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[3,2,7,1,5,8,6,4]=>[6,7,2,8,4,1,3,5]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[3,8,2,5,1,6,7,4]=>[6,1,7,4,8,3,2,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[4,8,3,2,6,7,1,5]=>[5,1,6,7,3,2,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[4,3,8,2,6,7,1,5]=>[5,6,1,7,3,2,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[4,3,2,6,7,8,1,5]=>[5,6,7,3,2,1,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[4,3,2,6,7,1,5,8]=>[5,6,7,3,2,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[4,3,7,2,6,8,1,5]=>[5,6,2,7,3,1,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[4,3,7,8,2,6,1,5]=>[5,6,2,1,7,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[2,5,7,4,8,1,6,3]=>[7,4,2,5,1,8,3,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,2,5,7,8,1,6,4]=>[6,7,4,2,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[3,2,5,7,1,6,8,4]=>[6,7,4,2,8,3,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[3,2,5,7,1,6,4,8]=>[6,7,4,2,8,3,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[6,3,2,7,1,5,4,8]=>[3,6,7,2,8,4,5,1]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,3,2,7,1,5,8,4]=>[3,6,7,2,8,4,1,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,3,2,7,8,1,5,4]=>[3,6,7,2,1,8,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[4,2,6,1,7,8,5,3]=>[5,7,3,8,2,1,4,6]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[6,5,2,1,7,8,4,3]=>[3,4,7,8,2,1,5,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[2,1,7,5,3,8,6,4]=>[7,8,2,4,6,1,3,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[6,2,1,8,5,3,7,4]=>[3,7,8,1,4,6,2,5]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[6,3,2,7,1,4,8,5]=>[3,6,7,2,8,5,1,4]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[6,3,2,1,4,7,8,5]=>[3,6,7,8,5,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,3,2,1,4,7,5,8]=>[3,6,7,8,5,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[3,5,2,1,7,4,6,8]=>[6,4,7,8,2,5,3,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[3,5,2,1,7,8,4,6]=>[6,4,7,8,2,1,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,8,4,2,1,7,3,6]=>[4,1,5,7,8,2,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[4,6,2,1,8,3,7,5]=>[5,3,7,8,1,6,2,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[2,4,1,7,3,8,6,5]=>[7,5,8,2,6,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[3,2,7,1,4,8,6,5]=>[6,7,2,8,5,1,3,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[3,5,8,2,1,7,4,6]=>[6,4,1,7,8,2,5,3]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[4,8,3,7,2,1,5,6]=>[5,1,6,2,7,8,4,3]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[4,3,7,2,8,1,5,6]=>[5,6,2,7,1,8,4,3]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[4,8,3,2,7,1,5,6]=>[5,1,6,7,2,8,4,3]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[3,5,2,8,1,7,4,6]=>[6,4,7,1,8,2,5,3]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[6,3,2,8,1,4,7,5]=>[3,6,7,1,8,5,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[3,2,1,4,7,5,8,6]=>[6,7,8,5,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,3,2,1,8,4,6,7]=>[4,6,7,8,1,5,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,8,3,2,1,5,6,7]=>[5,1,6,7,8,4,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[4,3,8,2,1,5,6,7]=>[5,6,1,7,8,4,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,9,8,7,6,5,4,3,2]=>[9,1,2,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[1,10,9,8,7,6,5,4,3,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[6,2,3,1,5,4,8,7]=>[3,7,6,8,4,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[8,4,5,2,3,1,7,6]=>[1,5,4,7,6,8,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[8,6,7,2,5,3,4,1]=>[1,3,2,7,4,6,5,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,2,5,3,4,1,7,6]=>[1,7,4,6,5,8,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,2,5,3,4,1,8,7]=>[3,7,4,6,5,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,1,5,2,4,3,8,7]=>[3,8,4,7,5,6,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,4,5,1,3,2,8,7]=>[3,5,4,8,6,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[6,1,5,3,4,2,8,7]=>[3,8,4,6,5,7,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,3,5,1,4,2,8,7]=>[3,6,4,8,5,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[8,3,5,2,4,1,7,6]=>[1,6,4,7,5,8,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[8,3,7,5,6,2,4,1]=>[1,6,2,4,3,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,3,7,2,4,1,6,5]=>[1,6,2,7,5,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,3,5,1,4,2,7,6]=>[1,6,4,8,5,7,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[8,1,5,3,4,2,7,6]=>[1,8,4,6,5,7,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,4,5,1,3,2,7,6]=>[1,5,4,8,6,7,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[2,1,8,4,5,3,7,6]=>[7,8,1,5,4,6,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[8,6,7,4,5,1,3,2]=>[1,3,2,5,4,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[8,6,7,1,5,3,4,2]=>[1,3,2,8,4,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,6,7,3,5,1,4,2]=>[1,3,2,6,4,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[8,3,7,5,6,1,4,2]=>[1,6,2,4,3,8,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,5,7,3,6,1,4,2]=>[1,4,2,6,3,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[8,3,7,4,6,2,5,1]=>[1,6,2,5,3,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,3,7,4,6,1,5,2]=>[1,6,2,5,3,8,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,3,7,1,6,4,5,2]=>[1,6,2,8,3,5,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,1,7,3,6,4,5,2]=>[1,8,2,6,3,5,4,7]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[8,1,7,5,6,3,4,2]=>[1,8,2,4,3,6,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,4,7,5,6,1,3,2]=>[1,5,2,4,3,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[2,1,8,4,7,5,6,3]=>[7,8,1,5,2,4,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[8,1,7,3,4,2,6,5]=>[1,8,2,6,5,7,3,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,1,7,3,6,2,5,4]=>[1,8,2,6,3,7,4,5]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,3,7,1,6,2,5,4]=>[1,6,2,8,3,7,4,5]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,3,7,2,6,4,5,1]=>[1,6,2,7,3,5,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,2,7,3,6,4,5,1]=>[1,7,2,6,3,5,4,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[8,2,7,3,6,1,5,4]=>[1,7,2,6,3,8,4,5]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,2,7,1,6,3,5,4]=>[1,7,2,8,3,6,4,5]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,1,7,2,4,3,6,5]=>[1,8,2,7,5,6,3,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,1,3,2,7,4,6,5]=>[1,8,6,7,2,5,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[2,1,8,3,7,4,6,5]=>[7,8,1,6,2,5,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[8,1,5,2,4,3,7,6]=>[1,8,4,7,5,6,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,2,7,1,4,3,6,5]=>[1,7,2,8,5,6,3,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[8,2,7,3,4,1,6,5]=>[1,7,2,6,5,8,3,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,2,7,5,6,3,4,1]=>[1,7,2,4,3,6,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,4,7,5,6,2,3,1]=>[1,5,2,4,3,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,4,7,2,3,1,6,5]=>[1,5,2,7,6,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,2,3,1,7,4,6,5]=>[1,7,6,8,2,5,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,2,3,1,5,4,7,6]=>[1,7,6,8,4,5,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,2,3,1,8,5,7,6]=>[5,7,6,8,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,1,3,2,8,6,7,5]=>[5,8,6,7,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[8,6,7,2,3,1,5,4]=>[1,3,2,7,6,8,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,2,3,1,7,5,6,4]=>[1,7,6,8,2,4,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,5,7,2,6,3,4,1]=>[1,4,2,7,3,6,5,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,5,7,2,6,1,4,3]=>[1,4,2,7,3,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[8,2,7,5,6,1,4,3]=>[1,7,2,4,3,8,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,6,7,2,5,1,4,3]=>[1,3,2,7,4,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[8,6,7,1,5,2,4,3]=>[1,3,2,8,4,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,6,7,1,3,2,5,4]=>[1,3,2,8,6,7,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[2,1,8,6,7,3,5,4]=>[7,8,1,3,2,6,4,5]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[2,1,8,3,7,5,6,4]=>[7,8,1,6,2,4,3,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[8,1,3,2,7,5,6,4]=>[1,8,6,7,2,4,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,1,7,5,6,2,4,3]=>[1,8,2,4,3,7,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,1,7,2,6,4,5,3]=>[1,8,2,7,3,5,4,6]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[8,2,7,1,6,4,5,3]=>[1,7,2,8,3,5,4,6]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,2,7,4,6,1,5,3]=>[1,7,2,5,3,8,4,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,2,7,4,6,3,5,1]=>[1,7,2,5,3,6,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,4,7,2,6,3,5,1]=>[1,5,2,7,3,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,4,7,2,6,1,5,3]=>[1,5,2,7,3,8,4,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[8,4,7,1,6,2,5,3]=>[1,5,2,8,3,7,4,6]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,1,7,4,6,2,5,3]=>[1,8,2,5,3,7,4,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,5,7,1,6,2,4,3]=>[1,4,2,8,3,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[2,1,8,5,7,3,6,4]=>[7,8,1,4,2,6,3,5]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[8,5,7,4,6,1,3,2]=>[1,4,2,5,3,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[8,5,7,1,6,3,4,2]=>[1,4,2,8,3,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,1,7,4,6,3,5,2]=>[1,8,2,5,3,6,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,4,7,1,6,3,5,2]=>[1,5,2,8,3,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,4,7,3,6,1,5,2]=>[1,5,2,6,3,8,4,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[2,4,8,3,6,1,7,5]=>[7,5,1,6,3,8,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[6,5,8,1,3,2,7,4]=>[3,4,1,8,6,7,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,5,8,6,3,2,7,1]=>[5,4,1,3,6,7,2,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[6,5,8,7,3,1,2,4]=>[3,4,1,2,6,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[1,5,8,7,3,6,2,4]=>[8,4,1,2,6,3,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[1,7,2,8,4,6,5,3]=>[8,2,7,1,5,3,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[6,7,2,8,4,1,5,3]=>[3,2,7,1,5,8,4,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[3,6,2,8,4,5,7,1]=>[6,3,7,1,5,4,2,8]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,6,1,8,4,5,7,3]=>[7,3,8,1,5,4,2,6]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,8,4,6,1,5,7,3]=>[7,1,5,3,8,4,2,6]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[6,3,1,8,4,5,7,2]=>[3,6,8,1,5,4,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[3,1,6,8,4,5,7,2]=>[6,8,3,1,5,4,2,7]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[2,3,6,8,4,5,7,1]=>[7,6,3,1,5,4,2,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[6,3,7,8,4,1,5,2]=>[3,6,2,1,5,8,4,7]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[1,3,7,8,4,6,5,2]=>[8,6,2,1,5,3,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[1,5,7,8,2,4,6,3]=>[8,4,2,1,7,5,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[5,1,7,8,2,4,6,3]=>[4,8,2,1,7,5,3,6]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[3,6,7,8,4,2,5,1]=>[6,3,2,1,5,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,6,1,8,4,2,5,3]=>[2,3,8,1,5,7,4,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[5,6,8,7,3,2,1,4]=>[4,3,1,2,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[2,8,3,7,1,6,5,4]=>[7,1,6,2,8,3,4,5]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[5,2,8,7,3,6,1,4]=>[4,7,1,2,6,3,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[7,2,1,8,4,6,5,3]=>[2,7,8,1,5,3,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[3,2,7,8,4,6,5,1]=>[6,7,2,1,5,3,4,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,2,7,8,1,4,6,3]=>[4,7,2,1,8,5,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[1,2,7,8,5,4,6,3]=>[8,7,2,1,4,5,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,2,1,3,8,5,6,7]=>[5,7,8,6,1,4,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[7,2,5,8,3,4,6,1]=>[2,7,4,1,6,5,3,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[6,2,8,5,4,3,1,7]=>[3,7,1,4,5,6,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[2,8,3,5,4,1,6,7]=>[7,1,6,4,5,8,3,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[2,8,4,5,3,1,6,7]=>[7,1,5,4,6,8,3,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[6,4,8,5,2,3,1,7]=>[3,5,1,4,7,6,8,2]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[7,3,5,8,2,4,6,1]=>[2,6,4,1,7,5,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[4,3,1,2,8,5,6,7]=>[5,6,8,7,1,4,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[3,4,2,1,8,5,6,7]=>[6,5,7,8,1,4,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,7,6,8,4,3,5,1]=>[7,2,3,1,5,6,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[5,7,1,8,3,4,6,2]=>[4,2,8,1,6,5,3,7]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[3,7,5,8,1,4,6,2]=>[6,2,4,1,8,5,3,7]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[1,7,5,8,3,4,6,2]=>[8,2,4,1,6,5,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[1,6,8,5,4,3,2,7]=>[8,3,1,4,5,6,7,2]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[4,6,8,5,1,3,2,7]=>[5,3,1,4,8,6,7,2]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[5,6,8,1,4,3,2,7]=>[4,3,1,8,5,6,7,2]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[7,5,8,6,3,4,2,1]=>[2,4,1,3,6,5,7,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[2,4,8,3,6,5,1,7]=>[7,5,1,6,3,4,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[2,8,4,1,5,6,3,7]=>[7,1,5,8,4,3,6,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[4,1,8,3,5,6,2,7]=>[5,8,1,6,4,3,7,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[5,6,8,4,1,3,2,7]=>[4,3,1,5,8,6,7,2]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,6,8,1,5,3,2,7]=>[5,3,1,8,4,6,7,2]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[1,6,8,4,5,3,2,7]=>[8,3,1,5,4,6,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[1,7,3,8,5,4,6,2]=>[8,2,6,1,4,5,3,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[3,7,1,8,5,4,6,2]=>[6,2,8,1,4,5,3,7]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[2,7,3,8,4,6,5,1]=>[7,2,6,1,5,3,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[7,1,3,8,4,6,5,2]=>[2,8,6,1,5,3,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,7,8,4,3,6,1,2]=>[4,2,1,5,6,3,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[2,8,7,4,1,6,5,3]=>[7,1,2,5,8,3,4,6]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[2,8,5,4,3,1,6,7]=>[7,1,4,5,6,8,3,2]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[6,5,8,4,2,3,1,7]=>[3,4,1,5,7,6,8,2]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[4,1,3,2,8,5,6,7]=>[5,8,6,7,1,4,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[1,4,3,2,8,5,6,7]=>[8,5,6,7,1,4,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[7,3,2,8,5,4,6,1]=>[2,6,7,1,4,5,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[6,4,8,2,5,3,1,7]=>[3,5,1,7,4,6,8,2]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[2,8,4,3,5,1,6,7]=>[7,1,5,6,4,8,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[2,8,3,4,5,1,6,7]=>[7,1,6,5,4,8,3,2]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[6,2,8,4,5,3,1,7]=>[3,7,1,5,4,6,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[7,2,3,8,5,4,6,1]=>[2,7,6,1,4,5,3,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[4,2,3,1,8,5,6,7]=>[5,7,6,8,1,4,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[3,2,1,4,8,5,6,7]=>[6,7,8,5,1,4,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[5,1,3,2,4,8,6,7]=>[4,8,6,7,5,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[2,8,1,5,3,4,7,6]=>[7,1,8,4,6,5,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[1,2,8,4,5,3,7,6]=>[8,7,1,5,4,6,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,8,4,2,5,3,6,7]=>[8,1,5,7,4,6,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[8,1,5,3,2,4,6,7]=>[1,8,4,6,7,5,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[3,8,1,5,2,4,6,7]=>[6,1,8,4,7,5,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[3,5,1,4,8,2,6,7]=>[6,4,8,5,1,7,3,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[1,5,2,8,4,3,6,7]=>[8,4,7,1,5,6,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,2,8,5,4,3,6,7]=>[8,7,1,4,5,6,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[1,2,5,4,3,8,6,7]=>[8,7,4,5,6,1,3,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[1,2,4,8,5,3,7,6]=>[8,7,5,1,4,6,2,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[1,2,7,4,8,5,3,6]=>[8,7,2,5,1,4,6,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[1,5,2,7,8,4,3,6]=>[8,4,7,2,1,5,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,1,2,7,4,8,3,6]=>[4,8,7,2,5,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[8,3,5,1,4,7,2,6]=>[1,6,4,8,5,2,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[2,8,1,5,4,7,3,6]=>[7,1,8,4,5,2,6,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[1,2,8,5,7,4,3,6]=>[8,7,1,4,2,5,6,3]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[1,2,4,8,7,5,3,6]=>[8,7,5,1,2,4,6,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[2,8,1,4,3,7,6,5]=>[7,1,8,5,6,2,3,4]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[6,1,2,8,7,4,3,5]=>[3,8,7,1,2,5,6,4]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[6,4,1,2,8,7,3,5]=>[3,5,8,7,1,2,6,4]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[3,6,4,8,1,7,2,5]=>[6,3,5,1,8,2,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[7,6,1,4,2,8,3,5]=>[2,3,8,5,7,1,6,4]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,1,6,2,8,4,3,5]=>[2,8,3,7,1,5,6,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[1,6,7,2,8,4,3,5]=>[8,3,2,7,1,5,6,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[6,7,1,4,2,8,3,5]=>[3,2,8,5,7,1,6,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[6,3,7,1,4,8,2,5]=>[3,6,2,8,5,1,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[3,7,8,1,5,2,4,6]=>[6,2,1,8,4,7,5,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[7,1,2,8,5,3,4,6]=>[2,8,7,1,4,6,5,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[6,1,2,8,4,3,7,5]=>[3,8,7,1,5,6,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[6,4,1,2,8,3,7,5]=>[3,5,8,7,1,6,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,6,1,3,2,4,8,5]=>[2,3,8,6,7,5,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,7,1,3,2,4,8,5]=>[3,2,8,6,7,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[1,2,7,3,5,8,4,6]=>[8,7,2,6,4,1,5,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[1,2,7,5,8,3,4,6]=>[8,7,2,4,1,6,5,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[5,8,1,3,7,2,4,6]=>[4,1,8,6,2,7,5,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[1,2,5,8,3,7,4,6]=>[8,7,4,1,6,2,5,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[2,8,1,7,3,5,4,6]=>[7,1,8,2,6,4,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[8,6,1,3,2,4,7,5]=>[1,3,8,6,7,5,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[4,2,8,1,7,3,6,5]=>[5,7,1,8,2,6,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[2,8,1,7,4,3,6,5]=>[7,1,8,2,5,6,3,4]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[7,1,2,8,4,3,6,5]=>[2,8,7,1,5,6,3,4]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[1,2,8,4,7,5,3,6]=>[8,7,1,5,2,4,6,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[2,8,1,7,5,3,4,6]=>[7,1,8,2,4,6,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,3,7,1,5,2,4,6]=>[1,6,2,8,4,7,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,8,6,1,4,7,2,5]=>[6,1,3,8,5,2,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[8,6,1,4,2,7,3,5]=>[1,3,8,5,7,2,6,4]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,1,6,2,7,4,3,5]=>[1,8,3,7,2,5,6,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[7,1,2,8,6,4,3,5]=>[2,8,7,1,3,5,6,4]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[7,4,1,2,8,6,3,5]=>[2,5,8,7,1,3,6,4]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[3,7,4,8,1,6,2,5]=>[6,2,5,1,8,3,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[3,4,8,7,1,6,2,5]=>[6,5,1,2,8,3,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,2,8,1,7,6,3,5]=>[5,7,1,8,2,3,6,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[2,8,1,7,6,4,3,5]=>[7,1,8,2,3,5,6,4]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[7,8,3,4,1,5,2,6]=>[2,1,6,5,8,4,7,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,8,3,4,1,6,2,5]=>[2,1,6,5,8,3,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[6,7,3,4,1,8,2,5]=>[3,2,6,5,8,1,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[5,7,3,4,1,8,2,6]=>[4,2,6,5,8,1,7,3]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[5,8,3,4,1,6,2,7]=>[4,1,6,5,8,3,7,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[6,7,3,4,1,5,2,8]=>[3,2,6,5,8,4,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,6,2,8,3,4,1,7]=>[4,3,7,1,6,5,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[5,6,2,7,3,4,1,8]=>[4,3,7,2,6,5,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,6,2,8,3,5,1,7]=>[5,3,7,1,6,4,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,7,3,5,1,6,2,8]=>[5,2,6,4,8,3,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,6,2,3,1,7,4,8]=>[4,3,7,6,8,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[5,6,2,4,1,7,3,8]=>[4,3,7,5,8,2,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[4,6,2,5,1,7,3,8]=>[5,3,7,4,8,2,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[4,6,2,5,1,8,3,7]=>[5,3,7,4,8,1,6,2]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[4,5,1,7,3,8,2,6]=>[5,4,8,2,6,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[4,6,2,7,3,8,1,5]=>[5,3,7,2,6,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[5,6,2,7,4,8,1,3]=>[4,3,7,2,5,1,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[5,6,3,8,4,7,1,2]=>[4,3,6,1,5,2,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[5,6,2,8,4,7,1,3]=>[4,3,7,1,5,2,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[4,6,2,8,3,7,1,5]=>[5,3,7,1,6,2,8,4]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[4,5,1,7,3,6,2,8]=>[5,4,8,2,6,3,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,5,1,8,3,6,2,7]=>[5,4,8,1,6,3,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[9,2,1,3,4,5,6,7,8]=>[1,8,9,7,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9]
[10,2,1,3,4,5,6,7,8,9]=>[1,9,10,8,7,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[4,2,3,5,6,7,8,9,1]=>[6,8,7,5,4,3,2,1,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[3,2,4,5,6,7,8,9,10,1]=>[8,9,7,6,5,4,3,2,1,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[6,5,3,2,1,4,8,7]=>[3,4,6,7,8,5,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[4,6,3,5,2,1,8,7]=>[5,3,6,4,7,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[8,7,3,5,2,4,1,6]=>[1,2,6,4,7,5,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[6,8,2,4,5,7,3,1]=>[3,1,7,5,4,2,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[8,7,2,4,5,3,1,6]=>[1,2,7,5,4,6,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[3,6,1,4,5,2,8,7]=>[6,3,8,5,4,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[8,3,7,4,5,2,1,6]=>[1,6,2,5,4,7,8,3]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[6,3,8,4,5,7,2,1]=>[3,6,1,5,4,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,8,7,4,3,6,2,1]=>[4,1,2,5,6,3,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[2,8,7,4,3,6,1,5]=>[7,1,2,5,6,3,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[8,1,7,4,3,6,2,5]=>[1,8,2,5,6,3,7,4]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[8,7,3,5,1,4,2,6]=>[1,2,6,4,8,5,7,3]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[2,1,6,8,5,7,4,3]=>[7,8,3,1,4,2,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,8,3,5,1,7,4,2]=>[3,1,6,4,8,2,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[5,1,8,4,7,6,3,2]=>[4,8,1,5,2,3,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[2,5,8,4,7,6,3,1]=>[7,4,1,5,2,3,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[4,3,8,1,5,6,7,2]=>[5,6,1,8,4,3,2,7]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[4,8,1,3,5,6,7,2]=>[5,1,8,6,4,3,2,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[4,8,3,6,1,2,7,5]=>[5,1,6,3,8,7,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[3,8,7,4,1,6,2,5]=>[6,1,2,5,8,3,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[3,8,1,2,5,6,7,4]=>[6,1,8,7,4,3,2,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[8,7,1,4,2,6,3,5]=>[1,2,8,5,7,3,6,4]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,6,3,1,2,4,7,5]=>[1,3,6,8,7,5,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,1,7,4,5,2,3,6]=>[1,8,2,5,4,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[2,8,7,4,5,1,3,6]=>[7,1,2,5,4,8,6,3]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[8,7,2,4,1,6,3,5]=>[1,2,7,5,8,3,6,4]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[5,8,3,6,2,4,7,1]=>[4,1,6,3,7,5,2,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[8,6,3,2,1,4,7,5]=>[1,3,6,7,8,5,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,7,3,5,2,1,4,6]=>[1,2,6,4,7,8,5,3]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[5,8,3,6,2,1,7,4]=>[4,1,6,3,7,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,8,7,4,2,6,1,3]=>[4,1,2,5,7,3,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[2,6,8,4,5,7,1,3]=>[7,3,1,5,4,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[6,1,8,4,5,7,2,3]=>[3,8,1,5,4,2,7,6]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[6,8,3,5,1,7,2,4]=>[3,1,6,4,8,2,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[2,1,5,8,3,6,7,4]=>[7,8,4,1,6,3,2,5]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[5,8,3,6,1,2,7,4]=>[4,1,6,3,8,7,2,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[4,1,8,2,5,6,7,3]=>[5,8,1,7,4,3,2,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,4,8,1,5,6,7,3]=>[7,5,1,8,4,3,2,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[4,8,2,1,5,6,7,3]=>[5,1,7,8,4,3,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[3,4,8,2,5,6,7,1]=>[6,5,1,7,4,3,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[5,8,1,4,7,6,2,3]=>[4,1,8,5,2,3,7,6]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,8,3,1,6,2,7,4]=>[4,1,6,8,3,7,2,5]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[4,5,3,8,6,1,7,2]=>[5,4,6,1,3,8,2,7]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[3,4,1,8,5,6,7,2]=>[6,5,8,1,4,3,2,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[2,4,6,8,10,1,3,5,7,9]=>[9,7,5,3,1,10,8,6,4,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,4,6,9,10,1,3,5,7,8]=>[9,7,5,2,1,10,8,6,4,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,4,7,8,10,1,3,5,6,9]=>[9,7,4,3,1,10,8,6,5,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,4,7,9,10,1,3,5,6,8]=>[9,7,4,2,1,10,8,6,5,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,4,8,9,10,1,3,5,6,7]=>[9,7,3,2,1,10,8,6,5,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,5,6,8,10,1,3,4,7,9]=>[9,6,5,3,1,10,8,7,4,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,5,6,9,10,1,3,4,7,8]=>[9,6,5,2,1,10,8,7,4,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,5,7,8,10,1,3,4,6,9]=>[9,6,4,3,1,10,8,7,5,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,5,7,9,10,1,3,4,6,8]=>[9,6,4,2,1,10,8,7,5,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,5,8,9,10,1,3,4,6,7]=>[9,6,3,2,1,10,8,7,5,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,6,7,8,10,1,3,4,5,9]=>[9,5,4,3,1,10,8,7,6,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,6,7,9,10,1,3,4,5,8]=>[9,5,4,2,1,10,8,7,6,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,6,8,9,10,1,3,4,5,7]=>[9,5,3,2,1,10,8,7,6,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[2,7,8,9,10,1,3,4,5,6]=>[9,4,3,2,1,10,8,7,6,5]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,4,6,8,10,1,2,5,7,9]=>[8,7,5,3,1,10,9,6,4,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,4,6,9,10,1,2,5,7,8]=>[8,7,5,2,1,10,9,6,4,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,4,7,8,10,1,2,5,6,9]=>[8,7,4,3,1,10,9,6,5,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,4,7,9,10,1,2,5,6,8]=>[8,7,4,2,1,10,9,6,5,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,4,8,9,10,1,2,5,6,7]=>[8,7,3,2,1,10,9,6,5,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,5,6,8,10,1,2,4,7,9]=>[8,6,5,3,1,10,9,7,4,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,5,6,9,10,1,2,4,7,8]=>[8,6,5,2,1,10,9,7,4,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,5,7,8,10,1,2,4,6,9]=>[8,6,4,3,1,10,9,7,5,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,5,7,9,10,1,2,4,6,8]=>[8,6,4,2,1,10,9,7,5,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,5,8,9,10,1,2,4,6,7]=>[8,6,3,2,1,10,9,7,5,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,6,7,8,10,1,2,4,5,9]=>[8,5,4,3,1,10,9,7,6,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,6,7,9,10,1,2,4,5,8]=>[8,5,4,2,1,10,9,7,6,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,6,8,9,10,1,2,4,5,7]=>[8,5,3,2,1,10,9,7,6,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[3,7,8,9,10,1,2,4,5,6]=>[8,4,3,2,1,10,9,7,6,5]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[4,5,6,8,10,1,2,3,7,9]=>[7,6,5,3,1,10,9,8,4,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[4,5,6,9,10,1,2,3,7,8]=>[7,6,5,2,1,10,9,8,4,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[4,5,7,8,10,1,2,3,6,9]=>[7,6,4,3,1,10,9,8,5,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[4,5,7,9,10,1,2,3,6,8]=>[7,6,4,2,1,10,9,8,5,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[4,5,8,9,10,1,2,3,6,7]=>[7,6,3,2,1,10,9,8,5,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[4,6,7,8,10,1,2,3,5,9]=>[7,5,4,3,1,10,9,8,6,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[4,6,7,9,10,1,2,3,5,8]=>[7,5,4,2,1,10,9,8,6,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[4,6,8,9,10,1,2,3,5,7]=>[7,5,3,2,1,10,9,8,6,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[4,7,8,9,10,1,2,3,5,6]=>[7,4,3,2,1,10,9,8,6,5]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[5,6,7,8,10,1,2,3,4,9]=>[6,5,4,3,1,10,9,8,7,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[5,6,7,9,10,1,2,3,4,8]=>[6,5,4,2,1,10,9,8,7,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[5,6,8,9,10,1,2,3,4,7]=>[6,5,3,2,1,10,9,8,7,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[5,7,8,9,10,1,2,3,4,6]=>[6,4,3,2,1,10,9,8,7,5]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,5]
[4,5,7,6,2,3,8,1]=>[5,4,2,3,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[3,5,7,2,6,4,8,1]=>[6,4,2,7,3,5,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[2,5,7,3,6,4,8,1]=>[7,4,2,6,3,5,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,5,7,3,6,8,4,2]=>[8,4,2,6,3,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[8,4,3,7,6,1,5,2]=>[1,5,6,2,3,8,4,7]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[6,7,2,3,5,4,8,1]=>[3,2,7,6,4,5,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[5,2,7,3,6,4,8,1]=>[4,7,2,6,3,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[8,3,4,7,6,1,5,2]=>[1,6,5,2,3,8,4,7]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,2,4,7,1,6,5,3]=>[1,7,5,2,8,3,4,6]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[3,1,4,7,6,8,5,2]=>[6,8,5,2,3,1,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[4,1,3,7,6,8,5,2]=>[5,8,6,2,3,1,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,1,7,3,6,8,4,2]=>[4,8,2,6,3,1,5,7]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[6,7,1,3,5,8,4,2]=>[3,2,8,6,4,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,8,7,3,6,1,4,2]=>[4,1,2,6,3,8,5,7]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[4,8,3,7,6,1,5,2]=>[5,1,6,2,3,8,4,7]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[3,8,4,7,6,1,5,2]=>[6,1,5,2,3,8,4,7]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[2,8,4,7,1,6,5,3]=>[7,1,5,2,8,3,4,6]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[8,1,4,7,2,6,5,3]=>[1,8,5,2,7,3,4,6]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[8,1,3,2,7,6,5,4]=>[1,8,6,7,2,3,4,5]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[2,8,3,1,7,6,5,4]=>[7,1,6,8,2,3,4,5]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[3,8,2,1,7,6,5,4]=>[6,1,7,8,2,3,4,5]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,7,1,2,8,5,4,3]=>[3,2,8,7,1,4,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[8,2,3,1,7,6,5,4]=>[1,7,6,8,2,3,4,5]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[8,3,2,1,7,6,5,4]=>[1,6,7,8,2,3,4,5]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[3,4,1,7,6,8,5,2]=>[6,5,8,2,3,1,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,4,2,7,8,6,5,3]=>[8,5,7,2,1,3,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[8,4,2,7,1,6,5,3]=>[1,5,7,2,8,3,4,6]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[8,5,7,2,1,6,4,3]=>[1,4,2,7,8,3,5,6]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[1,5,7,2,8,6,4,3]=>[8,4,2,7,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,5,7,1,6,8,4,2]=>[6,4,2,8,3,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,7,4,5,8,1,3,2]=>[3,2,5,4,1,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[5,4,7,6,8,1,3,2]=>[4,5,2,3,1,8,6,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[2,5,7,8,1,6,4,3]=>[7,4,2,1,8,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[1,5,7,8,2,6,4,3]=>[8,4,2,1,7,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[8,5,7,1,2,6,4,3]=>[1,4,2,8,7,3,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,4,1,7,2,6,5,3]=>[1,5,8,2,7,3,4,6]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[1,4,8,7,2,6,5,3]=>[8,5,1,2,7,3,4,6]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[3,4,8,7,6,1,5,2]=>[6,5,1,2,3,8,4,7]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[4,3,8,7,6,1,5,2]=>[5,6,1,2,3,8,4,7]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[5,3,7,8,6,1,4,2]=>[4,6,2,1,3,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[6,7,2,8,1,5,4,3]=>[3,2,7,1,8,4,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,2,7,8,1,6,4,3]=>[4,7,2,1,8,3,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,2,8,7,1,6,5,3]=>[5,7,1,2,8,3,4,6]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,2,8,1,7,6,5,4]=>[6,7,1,8,2,3,4,5]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[1,3,8,2,7,6,5,4]=>[8,6,1,7,2,3,4,5]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[8,3,1,2,7,6,5,4]=>[1,6,8,7,2,3,4,5]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[8,2,1,3,7,6,5,4]=>[1,7,8,6,2,3,4,5]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[1,2,8,3,7,6,5,4]=>[8,7,1,6,2,3,4,5]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[2,1,8,3,7,6,5,4]=>[7,8,1,6,2,3,4,5]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[5,1,7,8,2,6,4,3]=>[4,8,2,1,7,3,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,7,1,8,2,5,4,3]=>[3,2,8,1,7,4,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[5,8,7,1,2,6,4,3]=>[4,1,2,8,7,3,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[4,8,1,7,2,6,5,3]=>[5,1,8,2,7,3,4,6]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[3,8,1,2,7,6,5,4]=>[6,1,8,7,2,3,4,5]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[2,8,1,3,7,6,5,4]=>[7,1,8,6,2,3,4,5]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[1,8,2,3,7,6,5,4]=>[8,1,7,6,2,3,4,5]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[8,1,2,3,7,6,5,4]=>[1,8,7,6,2,3,4,5]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[9,1,4,5,6,7,8,2,10,3]=>[2,10,7,6,5,4,3,9,1,8]=>[[1,2,8],[3,10],[4],[5],[6],[7],[9]]=>[7,2,1]
[6,7,1,8,4,5,2,3]=>[3,2,8,1,5,4,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[3,7,1,5,8,2,6,4]=>[6,2,8,4,1,7,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[2,7,1,5,8,3,6,4]=>[7,2,8,4,1,6,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[3,6,5,1,8,2,7,4]=>[6,3,4,8,1,7,2,5]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[8,1,4,5,7,6,2,3]=>[1,8,5,4,2,3,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,4,5,1,8,7,2,3]=>[3,5,4,8,1,2,7,6]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[4,5,6,1,8,7,2,3]=>[5,4,3,8,1,2,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,4,6,1,3,8,7,5]=>[7,5,3,8,6,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,3,6,1,2,8,7,5]=>[5,6,3,8,7,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[7,3,1,5,8,2,6,4]=>[2,6,8,4,1,7,3,5]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[8,1,3,5,7,2,6,4]=>[1,8,6,4,2,7,3,5]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[8,1,2,5,7,3,6,4]=>[1,8,7,4,2,6,3,5]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,2,5,1,8,3,7,4]=>[3,7,4,8,1,6,2,5]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[2,3,6,1,4,8,7,5]=>[7,6,3,8,5,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,2,5,3,1,8,7,6]=>[5,7,4,6,8,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[8,1,3,4,2,7,6,5]=>[1,8,6,5,7,2,3,4]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[3,6,4,1,2,8,7,5]=>[6,3,5,8,7,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[2,6,4,1,3,8,7,5]=>[7,3,5,8,6,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[3,7,1,4,2,8,6,5]=>[6,2,8,5,7,1,3,4]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[4,7,1,3,2,8,6,5]=>[5,2,8,6,7,1,3,4]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[3,7,1,2,4,8,6,5]=>[6,2,8,7,5,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[2,7,1,3,4,8,6,5]=>[7,2,8,6,5,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[2,6,3,1,4,8,7,5]=>[7,3,6,8,5,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[3,6,2,1,4,8,7,5]=>[6,3,7,8,5,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[5,6,2,1,8,3,7,4]=>[4,3,7,8,1,6,2,5]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[8,1,5,2,7,3,6,4]=>[1,8,4,7,2,6,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,1,4,2,3,7,6,5]=>[1,8,5,7,6,2,3,4]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,4,2,1,3,8,7,5]=>[3,5,7,8,6,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[3,5,2,4,1,8,7,6]=>[6,4,7,5,8,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[6,3,2,1,4,8,7,5]=>[3,6,7,8,5,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,1,3,2,4,7,6,5]=>[1,8,6,7,5,2,3,4]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[8,1,2,3,4,7,6,5]=>[1,8,7,6,5,2,3,4]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[6,2,3,1,4,8,7,5]=>[3,7,6,8,5,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[2,4,3,6,1,5,8,7]=>[7,5,6,3,8,4,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[2,4,3,6,5,8,1,7]=>[7,5,6,3,4,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,4,6,3,5,8,1,7]=>[7,5,3,6,4,1,8,2]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[2,4,6,3,5,1,8,7]=>[7,5,3,6,4,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[2,4,6,1,5,3,8,7]=>[7,5,3,8,4,6,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[4,2,6,5,1,3,8,7]=>[5,7,3,4,8,6,1,2]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[4,2,6,5,1,8,7,3]=>[5,7,3,4,8,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[4,2,6,5,8,1,7,3]=>[5,7,3,4,1,8,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[4,2,6,5,8,1,3,7]=>[5,7,3,4,1,8,6,2]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[2,4,6,1,5,8,3,7]=>[7,5,3,8,4,1,6,2]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[2,4,1,6,5,8,3,7]=>[7,5,8,3,4,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,4,6,1,5,8,7,3]=>[7,5,3,8,4,1,2,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,2,6,5,8,3,7,1]=>[5,7,3,4,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[4,2,6,8,5,3,7,1]=>[5,7,3,1,4,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[2,4,6,8,1,5,7,3]=>[7,5,3,1,8,4,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,4,6,1,8,5,7,3]=>[7,5,3,8,1,4,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[2,4,1,6,8,5,7,3]=>[7,5,8,3,1,4,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,1,4,6,8,5,7,3]=>[7,8,5,3,1,4,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[2,4,1,6,8,5,3,7]=>[7,5,8,3,1,4,6,2]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[2,4,6,1,8,5,3,7]=>[7,5,3,8,1,4,6,2]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,4,6,8,1,5,3,7]=>[7,5,3,1,8,4,6,2]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,2,6,8,5,1,3,7]=>[5,7,3,1,4,8,6,2]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[2,4,6,8,3,5,7,1]=>[7,5,3,1,6,4,2,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,4,6,8,3,5,1,7]=>[7,5,3,1,6,4,8,2]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[2,4,6,3,8,1,5,7]=>[7,5,3,6,1,8,4,2]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[2,4,6,3,8,5,7,1]=>[7,5,3,6,1,4,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[2,4,3,6,8,5,7,1]=>[7,5,6,3,1,4,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,4,3,6,8,1,5,7]=>[7,5,6,3,1,8,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[2,4,3,6,1,8,5,7]=>[7,5,6,3,8,1,4,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,4,3,1,6,8,5,7]=>[7,5,6,8,3,1,4,2]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,4,1,3,6,8,7,5]=>[7,5,8,6,3,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[2,4,3,6,1,8,7,5]=>[7,5,6,3,8,1,2,4]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[2,4,3,6,8,1,7,5]=>[7,5,6,3,1,8,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[4,6,5,2,8,7,1,3]=>[5,3,4,7,1,2,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[4,6,2,5,8,7,3,1]=>[5,3,7,4,1,2,6,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[2,4,6,3,1,8,7,5]=>[7,5,3,6,8,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[2,1,4,6,8,3,7,5]=>[7,8,5,3,1,6,2,4]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[2,4,6,8,1,3,7,5]=>[7,5,3,1,8,6,2,4]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,4,6,8,3,1,7,5]=>[7,5,3,1,6,8,2,4]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,6,2,8,5,7,3,1]=>[5,3,7,1,4,2,6,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,6,2,8,5,7,1,3]=>[5,3,7,1,4,2,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,2,4,8,7,1,3,5]=>[3,7,5,1,2,8,6,4]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[6,4,2,8,7,5,3,1]=>[3,5,7,1,2,4,6,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[2,6,4,8,1,7,5,3]=>[7,3,5,1,8,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,6,4,1,8,7,5,3]=>[7,3,5,8,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,6,1,4,8,7,5,3]=>[7,3,8,5,1,2,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[2,1,6,4,8,7,5,3]=>[7,8,3,5,1,2,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[2,1,6,4,8,7,3,5]=>[7,8,3,5,1,2,6,4]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[2,6,4,1,8,7,3,5]=>[7,3,5,8,1,2,6,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[2,6,4,8,1,7,3,5]=>[7,3,5,1,8,2,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[6,4,2,8,7,5,1,3]=>[3,5,7,1,2,4,8,6]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[6,2,4,8,7,3,1,5]=>[3,7,5,1,2,6,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[1,6,4,7,3,8,2,5]=>[8,3,5,2,6,1,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,3,7,4,5,8,2,6]=>[8,6,2,5,4,1,7,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[5,2,4,7,3,6,8,1]=>[4,7,5,2,6,3,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,7,6,3,4,8,2,5]=>[8,2,3,6,5,1,7,4]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[8,1,6,3,7,2,4,5]=>[1,8,3,6,2,7,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,1,6,3,8,2,4,5]=>[2,8,3,6,1,7,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,2,7,4,8,3,5,6]=>[8,7,2,5,1,6,4,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[6,1,7,3,4,8,2,5]=>[3,8,2,6,5,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[2,1,7,4,5,8,3,6]=>[7,8,2,5,4,1,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[5,1,4,7,3,8,2,6]=>[4,8,5,2,6,1,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,3,1,7,5,8,2,6]=>[5,6,8,2,4,1,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[2,8,6,3,7,1,4,5]=>[7,1,3,6,2,8,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[6,8,1,3,7,2,4,5]=>[3,1,8,6,2,7,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[5,8,2,1,7,3,4,6]=>[4,1,7,8,2,6,5,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[5,7,2,1,8,3,4,6]=>[4,2,7,8,1,6,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[6,7,1,3,8,2,4,5]=>[3,2,8,6,1,7,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[5,1,2,4,8,3,6,7]=>[4,8,7,5,1,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[4,3,6,1,5,8,2,7]=>[5,6,3,8,4,1,7,2]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[2,6,1,4,5,8,3,7]=>[7,3,8,5,4,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[6,5,1,3,4,8,2,7]=>[3,4,8,6,5,1,7,2]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,6,2,4,8,3,5,7]=>[8,3,7,5,1,6,4,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[8,5,1,3,7,2,4,6]=>[1,4,8,6,2,7,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,5,3,2,8,4,6,7]=>[8,4,6,7,1,5,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[6,4,2,1,5,8,3,7]=>[3,5,7,8,4,1,6,2]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[2,5,3,4,1,8,6,7]=>[7,4,6,5,8,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[4,3,5,2,1,8,6,7]=>[5,6,4,7,8,1,3,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[2,6,4,8,7,1,3,5]=>[7,3,5,1,2,8,6,4]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[1,6,4,8,7,2,3,5]=>[8,3,5,1,2,7,6,4]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[2,7,8,3,6,1,4,5]=>[7,2,1,6,3,8,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[4,3,2,8,7,1,5,6]=>[5,6,7,1,2,8,4,3]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,2,4,8,7,1,3,6]=>[4,7,5,1,2,8,6,3]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[6,2,8,3,7,1,4,5]=>[3,7,1,6,2,8,5,4]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[5,1,4,8,7,2,3,6]=>[4,8,5,1,2,7,6,3]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[4,8,2,5,1,3,7,6]=>[5,1,7,4,8,6,2,3]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[4,7,2,5,1,3,8,6]=>[5,2,7,4,8,6,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[3,7,2,1,5,4,8,6]=>[6,2,7,8,4,5,1,3]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[3,8,2,1,5,4,7,6]=>[6,1,7,8,4,5,2,3]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[8,3,2,1,5,4,6,7]=>[1,6,7,8,4,5,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,3,2,1,6,4,5,7]=>[1,6,7,8,3,5,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,4,2,5,1,6,3,7]=>[1,5,7,4,8,3,6,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,3,2,1,5,6,4,7]=>[1,6,7,8,4,3,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,3,2,1,4,6,5,7]=>[1,6,7,8,5,3,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[3,8,2,1,4,5,7,6]=>[6,1,7,8,5,4,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[3,7,2,1,4,5,8,6]=>[6,2,7,8,5,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[3,2,7,1,4,6,8,5]=>[6,7,2,8,5,3,1,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[3,2,8,1,4,6,7,5]=>[6,7,1,8,5,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[3,2,8,1,4,7,6,5]=>[6,7,1,8,5,2,3,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[3,8,2,1,4,7,5,6]=>[6,1,7,8,5,2,4,3]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[3,8,2,1,5,7,4,6]=>[6,1,7,8,4,2,5,3]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[4,8,2,5,1,7,3,6]=>[5,1,7,4,8,2,6,3]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[4,7,2,5,1,8,3,6]=>[5,2,7,4,8,1,6,3]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[3,7,2,1,5,8,4,6]=>[6,2,7,8,4,1,5,3]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[3,7,2,1,4,8,5,6]=>[6,2,7,8,5,1,4,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[3,2,1,7,5,8,6,4]=>[6,7,8,2,4,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[3,2,7,1,6,8,4,5]=>[6,7,2,8,3,1,5,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[4,2,7,6,1,8,3,5]=>[5,7,2,3,8,1,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[4,3,7,6,8,1,2,5]=>[5,6,2,3,1,8,7,4]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[4,3,8,6,7,1,2,5]=>[5,6,1,3,2,8,7,4]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[4,2,8,6,1,7,3,5]=>[5,7,1,3,8,2,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[3,2,8,1,6,7,4,5]=>[6,7,1,8,3,2,5,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[3,2,1,8,7,5,6,4]=>[6,7,8,1,2,4,3,5]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,8,2,1,7,4,5,6]=>[6,1,7,8,2,5,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[3,2,8,1,7,4,6,5]=>[6,7,1,8,2,5,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[3,2,8,1,6,4,7,5]=>[6,7,1,8,3,5,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[3,2,7,1,6,4,8,5]=>[6,7,2,8,3,5,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[4,2,7,6,1,3,8,5]=>[5,7,2,3,8,6,1,4]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[4,2,8,6,1,3,7,5]=>[5,7,1,3,8,6,2,4]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[4,2,8,7,1,3,6,5]=>[5,7,1,2,8,6,3,4]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[5,7,8,3,4,1,2,6]=>[4,2,1,6,5,8,7,3]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[4,2,7,8,1,3,6,5]=>[5,7,2,1,8,6,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[4,2,6,8,1,3,7,5]=>[5,7,3,1,8,6,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[4,2,6,7,1,3,8,5]=>[5,7,3,2,8,6,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[3,2,6,1,8,4,7,5]=>[6,7,3,8,1,5,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[3,7,2,1,8,4,5,6]=>[6,2,7,8,1,5,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[3,7,2,1,8,5,4,6]=>[6,2,7,8,1,4,5,3]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[4,7,3,8,5,1,2,6]=>[5,2,6,1,4,8,7,3]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[4,3,7,8,6,1,2,5]=>[5,6,2,1,3,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[3,2,7,1,8,6,4,5]=>[6,7,2,8,1,3,5,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[3,2,1,6,8,5,7,4]=>[6,7,8,3,1,4,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[3,2,6,1,8,7,4,5]=>[6,7,3,8,1,2,5,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[4,2,6,8,1,7,3,5]=>[5,7,3,1,8,2,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[4,3,6,8,7,1,2,5]=>[5,6,3,1,2,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[4,2,6,7,1,8,3,5]=>[5,7,3,2,8,1,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,2,6,1,7,8,4,5]=>[6,7,3,8,2,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[3,4,6,8,7,5,1,2]=>[6,5,3,1,2,4,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[5,3,6,4,8,7,1,2]=>[4,6,3,5,1,2,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[1,4,6,2,7,8,5,3]=>[8,5,3,7,2,1,4,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[3,1,8,5,4,2,6,7]=>[6,8,1,4,5,7,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[1,2,7,5,4,8,6,3]=>[8,7,2,4,5,1,3,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,3,7,5,4,8,1,2]=>[3,6,2,4,5,1,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[7,3,8,5,4,6,1,2]=>[2,6,1,4,5,3,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[3,8,7,5,4,6,1,2]=>[6,1,2,4,5,3,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[4,3,6,7,8,5,1,2]=>[5,6,3,2,1,4,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[4,5,6,3,8,7,1,2]=>[5,4,3,6,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,6,8,5,4,7,1,2]=>[6,3,1,4,5,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[6,8,3,5,4,7,1,2]=>[3,1,6,4,5,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[7,6,3,5,4,8,1,2]=>[2,3,6,4,5,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,6,2,5,4,8,7,3]=>[8,3,7,4,5,1,2,6]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[7,1,2,5,8,3,6,4]=>[2,8,7,4,1,6,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[1,8,2,5,7,3,6,4]=>[8,1,7,4,2,6,3,5]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[6,2,1,5,4,8,7,3]=>[3,7,8,4,5,1,2,6]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[4,1,6,2,8,7,5,3]=>[5,8,3,7,1,2,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[7,8,1,2,4,6,5,3]=>[2,1,8,7,5,3,4,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[7,8,3,1,4,2,6,5]=>[2,1,6,8,5,7,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[4,3,6,1,8,2,7,5]=>[5,6,3,8,1,7,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[2,3,8,5,4,1,6,7]=>[7,6,1,4,5,8,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[4,8,1,5,2,3,7,6]=>[5,1,8,4,7,6,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[5,8,1,6,4,3,2,7]=>[4,1,8,3,5,6,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[6,1,5,7,4,3,2,8]=>[3,8,4,2,5,6,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[1,5,8,6,4,3,2,7]=>[8,4,1,3,5,6,7,2]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[3,4,6,1,5,8,2,7]=>[6,5,3,8,4,1,7,2]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[7,8,4,1,5,3,2,6]=>[2,1,5,8,4,6,7,3]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[7,8,5,1,6,3,2,4]=>[2,1,4,8,3,6,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[2,6,1,5,7,3,8,4]=>[7,3,8,4,2,6,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[1,6,8,7,4,3,2,5]=>[8,3,1,2,5,6,7,4]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[6,8,1,7,4,3,2,5]=>[3,1,8,2,5,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[5,1,7,6,4,3,2,8]=>[4,8,2,3,5,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[6,1,7,8,4,3,2,5]=>[3,8,2,1,5,6,7,4]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[7,1,8,6,4,3,2,5]=>[2,8,1,3,5,6,7,4]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,1,7,5,6,3,8,4]=>[7,8,2,4,3,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[3,1,6,7,5,8,2,4]=>[6,8,3,2,4,1,7,5]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[7,8,1,6,5,3,2,4]=>[2,1,8,3,4,6,7,5]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[7,8,2,1,4,5,6,3]=>[2,1,7,8,5,4,3,6]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[2,8,1,5,4,6,7,3]=>[7,1,8,4,5,3,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[7,2,1,5,4,6,8,3]=>[2,7,8,4,5,3,1,6]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[1,2,8,5,6,3,7,4]=>[8,7,1,4,3,6,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[6,1,2,5,7,3,8,4]=>[3,8,7,4,2,6,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[4,2,1,5,6,3,7,8]=>[5,7,8,4,3,6,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[4,3,6,1,5,7,2,8]=>[5,6,3,8,4,2,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[5,1,6,3,7,8,2,4]=>[4,8,3,6,2,1,7,5]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[1,3,6,8,5,7,2,4]=>[8,6,3,1,4,2,7,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[2,4,6,3,7,1,8,5]=>[7,5,3,6,2,8,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[1,3,6,4,8,7,2,5]=>[8,6,3,5,1,2,7,4]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[4,1,6,7,3,8,2,5]=>[5,8,3,2,6,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[5,4,6,1,3,7,2,8]=>[4,5,3,8,6,2,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,4,1,5,2,3,7,8]=>[3,5,8,4,7,6,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[4,1,7,5,2,3,8,6]=>[5,8,2,4,7,6,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[1,2,4,5,8,3,7,6]=>[8,7,5,4,1,6,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,2,3,5,4,1,8,6]=>[2,7,6,4,5,8,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,8,3,5,4,1,7,6]=>[7,1,6,4,5,8,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,2,6,3,8,1,7,5]=>[5,7,3,6,1,8,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[7,8,2,3,4,1,6,5]=>[2,1,7,6,5,8,3,4]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,8,1,4,6,3,2,5]=>[2,1,8,5,3,6,7,4]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[3,1,6,4,7,8,2,5]=>[6,8,3,5,2,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[1,8,5,7,4,3,2,6]=>[8,1,4,2,5,6,7,3]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[7,1,5,8,4,3,2,6]=>[2,8,4,1,5,6,7,3]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[5,1,8,7,4,3,2,6]=>[4,8,1,2,5,6,7,3]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[6,5,1,8,4,3,2,7]=>[3,4,8,1,5,6,7,2]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[6,5,7,1,4,3,2,8]=>[3,4,2,8,5,6,7,1]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[7,5,8,1,4,3,2,6]=>[2,4,1,8,5,6,7,3]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[5,8,7,1,4,3,2,6]=>[4,1,2,8,5,6,7,3]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[1,5,7,8,4,3,2,6]=>[8,4,2,1,5,6,7,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,4,7,5,1,3,8,6]=>[7,5,2,4,8,6,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[7,8,4,6,1,3,2,5]=>[2,1,5,3,8,6,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,8,5,4,1,3,2,6]=>[2,1,4,5,8,6,7,3]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[3,5,6,4,1,8,2,7]=>[6,4,3,5,8,1,7,2]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,6,4,5,1,3,8,7]=>[7,3,5,4,8,6,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[1,6,5,8,4,3,2,7]=>[8,3,4,1,5,6,7,2]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[6,8,5,1,4,3,2,7]=>[3,1,4,8,5,6,7,2]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[7,6,5,1,4,3,2,8]=>[2,3,4,8,5,6,7,1]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[1,2,3,4,5,6,9,7,8]=>[9,8,7,6,5,4,1,3,2]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[7,2]
[1,2,3,4,5,8,6,9,7]=>[9,8,7,6,5,2,4,1,3]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[6,2,1]
[1,4,2,5,6,7,8,9,3]=>[9,6,8,5,4,3,2,1,7]=>[[1,3],[2,9],[4],[5],[6],[7],[8]]=>[2,6,1]
[9,8,1,2,3,4,5,6,7]=>[1,2,9,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9]
[9,8,7,1,2,3,4,5,6]=>[1,2,3,9,8,7,6,5,4]=>[[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]=>[1,2,3,4,5,9,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9]
[7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7]=>[[1,4,7],[2,5,8],[3,6,9]]=>[3,3,3]
[9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,10,9,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10]
[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,10,9,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10]
[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,10,9,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10]
[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,10,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10]
[10,9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,10,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>[2,2,2,2,2]
[10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,10,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[3,4,6,2,7,1,5,8]=>[6,5,3,7,2,8,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[3,6,2,5,4,1,7,8]=>[6,3,7,4,5,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[3,2,7,5,4,1,6,8]=>[6,7,2,4,5,8,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,3,6,2,8,1,5,7]=>[5,6,3,7,1,8,4,2]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[6,1,2,5,4,7,8,3]=>[3,8,7,4,5,2,1,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[6,2,4,5,1,3,7,8]=>[3,7,5,4,8,6,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[4,2,8,5,1,3,7,6]=>[5,7,1,4,8,6,2,3]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[4,3,6,8,1,7,2,5]=>[5,6,3,1,8,2,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[5,3,6,4,1,7,2,8]=>[4,6,3,5,8,2,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[6,2,1,5,8,3,7,4]=>[3,7,8,4,1,6,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[1,6,7,4,8,3,5,2]=>[8,3,2,5,1,6,4,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,4,6,3,7,5,8,2]=>[8,5,3,6,2,4,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[4,6,7,2,5,8,1,3]=>[5,3,2,7,4,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[2,4,6,1,7,5,3,8]=>[7,5,3,8,2,4,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[7,5,4,6,2,8,1,3]=>[2,4,5,3,7,1,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,7,5,4,3,8,6,2]=>[8,2,4,5,6,1,3,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[1,4,6,3,5,8,7,2]=>[8,5,3,6,4,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[1,5,8,4,3,6,7,2]=>[8,4,1,5,6,3,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[5,4,6,2,7,8,1,3]=>[4,5,3,7,2,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[2,5,4,1,6,7,3,8]=>[7,4,5,8,3,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[5,6,3,2,7,1,4,8]=>[4,3,6,7,2,8,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[5,6,3,2,7,1,8,4]=>[4,3,6,7,2,8,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[8,5,6,3,2,7,1,4]=>[1,4,3,6,7,2,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,4,6,2,8,1,7,3]=>[4,5,3,7,1,8,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[2,4,1,7,8,5,3,6]=>[7,5,8,2,1,4,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[2,5,4,1,6,3,8,7]=>[7,4,5,8,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[5,6,3,2,1,8,4,7]=>[4,3,6,7,8,1,5,2]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[3,5,2,1,6,4,7,8]=>[6,4,7,8,3,5,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[6,8,4,3,2,1,5,7]=>[3,1,5,6,7,8,4,2]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[5,3,8,2,1,6,4,7]=>[4,6,1,7,8,3,5,2]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[3,7,5,8,2,1,4,6]=>[6,2,4,1,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[7,3,2,8,5,1,6,4]=>[2,6,7,1,4,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,4,6,3,2,1,7,5]=>[1,5,3,6,7,8,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[8,6,4,3,2,1,7,5]=>[1,3,5,6,7,8,2,4]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[7,6,4,3,2,1,8,5]=>[2,3,5,6,7,8,1,4]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[7,8,4,3,2,1,6,5]=>[2,1,5,6,7,8,3,4]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[5,4,7,2,1,8,6,3]=>[4,5,2,7,8,1,3,6]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,5,8,3,2,6,1,4]=>[2,4,1,6,7,3,8,5]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[5,7,3,2,1,6,8,4]=>[4,2,6,7,8,3,1,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[5,7,3,2,1,6,4,8]=>[4,2,6,7,8,3,5,1]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[6,3,7,2,5,1,8,4]=>[3,6,2,7,4,8,1,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[6,7,8,3,5,2,1,4]=>[3,2,1,6,4,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[6,2,5,7,8,4,1,3]=>[3,7,4,2,1,5,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[2,1,5,7,8,6,3,4]=>[7,8,4,2,1,3,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[3,6,7,2,8,1,4,5]=>[6,3,2,7,1,8,5,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[6,3,7,2,8,1,4,5]=>[3,6,2,7,1,8,5,4]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[3,2,6,1,7,4,5,8]=>[6,7,3,8,2,5,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[3,5,2,1,4,7,6,8]=>[6,4,7,8,5,2,3,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[7,3,5,2,1,8,4,6]=>[2,6,4,7,8,1,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[2,5,4,1,3,7,8,6]=>[7,4,5,8,6,2,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,5,8,4,1,3,7,6]=>[7,4,1,5,8,6,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[2,4,1,7,8,3,6,5]=>[7,5,8,2,1,6,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[3,7,2,8,6,1,4,5]=>[6,2,7,1,3,8,5,4]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[3,6,8,2,1,7,4,5]=>[6,3,1,7,8,2,5,4]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[5,3,8,2,1,4,7,6]=>[4,6,1,7,8,5,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[4,8,7,3,2,1,5,6]=>[5,1,2,6,7,8,4,3]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[4,7,3,2,1,5,6,8]=>[5,2,6,7,8,4,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,4,7,3,2,1,5,6]=>[1,5,2,6,7,8,4,3]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,3,5,2,1,4,7,6]=>[1,6,4,7,8,5,2,3]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[7,3,2,8,6,1,4,5]=>[2,6,7,1,3,8,5,4]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,8,6,5,4,3,2,1,9]=>[3,2,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[1,8,9,7,6,5,4,3,2]=>[9,2,1,3,4,5,6,7,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[8,9,7,6,5,4,3,2,1,10]=>[3,2,4,5,6,7,8,9,10,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[6,8,7,5,4,3,2,1,9]=>[4,2,3,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[1,8,7,9,6,5,4,3,2]=>[9,2,3,1,4,5,6,7,8]=>[[1,3,5,6,7,8,9],[2],[4]]=>[2,2,5]
[1,7,9,8,6,5,4,3,2]=>[9,3,1,2,4,5,6,7,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[1,9,10,8,7,6,5,4,3,2]=>[10,2,1,3,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,7]
[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[5,4,1,6,3,2,8,7]=>[4,5,8,3,6,7,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[5,4,1,6,2,3,8,7]=>[4,5,8,3,7,6,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[5,7,1,6,2,8,3,4]=>[4,2,8,3,7,1,6,5]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[5,7,1,6,2,8,4,3]=>[4,2,8,3,7,1,5,6]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[2,7,6,5,1,8,3,4]=>[7,2,3,4,8,1,6,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[2,7,6,5,1,8,4,3]=>[7,2,3,4,8,1,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[2,3,6,5,1,4,8,7]=>[7,6,3,4,8,5,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[2,3,6,4,1,5,8,7]=>[7,6,3,5,8,4,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[2,3,6,1,5,4,8,7]=>[7,6,3,8,4,5,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[2,7,6,1,4,8,5,3]=>[7,2,3,8,5,1,4,6]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[2,7,6,1,4,8,3,5]=>[7,2,3,8,5,1,6,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[7,3,5,1,8,4,2,6]=>[2,6,4,8,1,5,7,3]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[7,3,5,1,8,6,4,2]=>[2,6,4,8,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[2,7,6,1,5,8,4,3]=>[7,2,3,8,4,1,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[2,7,6,4,1,8,5,3]=>[7,2,3,5,8,1,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,1,7,6,3,8,5,4]=>[7,8,2,3,6,1,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[2,1,7,6,3,8,4,5]=>[7,8,2,3,6,1,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[5,7,3,6,2,8,4,1]=>[4,2,6,3,7,1,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[2,7,6,4,1,8,3,5]=>[7,2,3,5,8,1,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[7,3,5,1,8,6,2,4]=>[2,6,4,8,1,3,7,5]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[6,3,5,1,8,2,4,7]=>[3,6,4,8,1,7,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[2,3,4,8,7,6,1,5]=>[7,6,5,1,2,3,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,3,4,8,5,7,1,6]=>[7,6,5,1,4,2,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[7,3,5,4,8,1,2,6]=>[2,6,4,5,1,8,7,3]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[6,4,3,5,8,7,2,1]=>[3,5,6,4,1,2,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[2,1,4,5,8,7,3,6]=>[7,8,5,4,1,2,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[6,4,3,5,8,7,1,2]=>[3,5,6,4,1,2,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[7,3,5,4,8,1,6,2]=>[2,6,4,5,1,8,3,7]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[2,3,4,8,7,5,6,1]=>[7,6,5,1,2,4,3,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[2,3,4,8,7,5,1,6]=>[7,6,5,1,2,4,8,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[2,7,6,5,4,8,1,3]=>[7,2,3,4,5,1,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[7,3,5,6,8,4,1,2]=>[2,6,4,3,1,5,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[7,3,5,6,8,1,4,2]=>[2,6,4,3,1,8,5,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,3,5,6,8,1,2,4]=>[2,6,4,3,1,8,7,5]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[6,4,1,5,8,7,2,3]=>[3,5,8,4,1,2,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[6,4,1,5,8,7,3,2]=>[3,5,8,4,1,2,6,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,4,1,5,8,3,7,2]=>[3,5,8,4,1,6,2,7]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[5,7,1,6,3,8,2,4]=>[4,2,8,3,6,1,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[6,4,1,5,8,3,2,7]=>[3,5,8,4,1,6,7,2]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[7,4,1,5,8,2,3,6]=>[2,5,8,4,1,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[7,4,1,5,8,2,6,3]=>[2,5,8,4,1,7,3,6]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[6,3,5,7,8,2,1,4]=>[3,6,4,2,1,7,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,3,5,7,8,2,4,1]=>[3,6,4,2,1,7,5,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[2,7,6,4,5,8,3,1]=>[7,2,3,5,4,1,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[5,7,3,6,1,8,4,2]=>[4,2,6,3,8,1,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[2,1,4,5,8,6,3,7]=>[7,8,5,4,1,3,6,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[7,3,5,4,8,6,2,1]=>[2,6,4,5,1,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[2,3,4,8,5,6,1,7]=>[7,6,5,1,4,3,8,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[2,3,4,8,7,1,6,5]=>[7,6,5,1,2,8,3,4]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[2,3,4,8,1,7,6,5]=>[7,6,5,1,8,2,3,4]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,3,4,8,1,6,7,5]=>[7,6,5,1,8,3,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[2,3,4,8,5,1,7,6]=>[7,6,5,1,4,8,2,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[6,3,5,4,8,2,7,1]=>[3,6,4,5,1,7,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,4,3,5,8,2,1,6]=>[2,5,6,4,1,7,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[2,1,4,5,8,3,7,6]=>[7,8,5,4,1,6,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[7,4,3,5,8,2,6,1]=>[2,5,6,4,1,7,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,3,5,4,8,2,1,7]=>[3,6,4,5,1,7,8,2]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[2,3,4,8,5,1,6,7]=>[7,6,5,1,4,8,3,2]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[2,3,4,8,1,6,5,7]=>[7,6,5,1,8,3,4,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[2,3,4,8,1,5,7,6]=>[7,6,5,1,8,4,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[7,8,2,6,1,5,3,4]=>[2,1,7,3,8,4,6,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,8,1,6,2,5,3,4]=>[2,1,8,3,7,4,6,5]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[1,8,6,7,2,5,3,4]=>[8,1,3,2,7,4,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,8,5,7,2,6,3,4]=>[8,1,4,2,7,3,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[5,8,1,7,2,6,3,4]=>[4,1,8,2,7,3,6,5]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,8,2,7,1,6,3,4]=>[4,1,7,2,8,3,6,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,8,6,7,1,5,3,4]=>[7,1,3,2,8,4,6,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[2,8,5,7,1,6,3,4]=>[7,1,4,2,8,3,6,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[2,8,1,7,5,6,3,4]=>[7,1,8,2,4,3,6,5]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[1,8,2,7,5,6,3,4]=>[8,1,7,2,4,3,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,8,2,7,4,6,3,5]=>[8,1,7,2,5,3,6,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,8,1,7,4,6,3,5]=>[7,1,8,2,5,3,6,4]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[2,8,4,7,1,6,3,5]=>[7,1,5,2,8,3,6,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,8,2,7,1,6,3,5]=>[5,1,7,2,8,3,6,4]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,8,1,7,2,6,3,5]=>[5,1,8,2,7,3,6,4]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[1,8,4,7,2,6,3,5]=>[8,1,5,2,7,3,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,8,1,7,5,6,2,3]=>[5,1,8,2,4,3,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[1,8,4,7,5,6,2,3]=>[8,1,5,2,4,3,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,8,3,7,5,6,2,4]=>[8,1,6,2,4,3,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,8,1,7,5,6,2,4]=>[6,1,8,2,4,3,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[3,8,1,7,4,6,2,5]=>[6,1,8,2,5,3,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[1,8,3,7,4,6,2,5]=>[8,1,6,2,5,3,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,8,3,7,2,6,4,5]=>[8,1,6,2,7,3,5,4]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,8,1,7,2,6,4,5]=>[6,1,8,2,7,3,5,4]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[3,8,2,7,1,6,4,5]=>[6,1,7,2,8,3,5,4]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[3,8,2,7,4,6,1,5]=>[6,1,7,2,5,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[3,8,2,7,5,6,1,4]=>[6,1,7,2,4,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,8,2,7,5,6,1,3]=>[5,1,7,2,4,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,8,3,7,5,6,1,2]=>[5,1,6,2,4,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[3,8,4,7,5,6,1,2]=>[6,1,5,2,4,3,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,8,4,7,5,6,1,3]=>[7,1,5,2,4,3,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,8,3,7,5,6,1,4]=>[7,1,6,2,4,3,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,8,3,7,4,6,1,5]=>[7,1,6,2,5,3,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,8,3,7,1,6,4,5]=>[7,1,6,2,8,3,5,4]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,8,1,7,3,6,4,5]=>[7,1,8,2,6,3,5,4]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[7,5,2,8,6,4,1,3]=>[2,4,7,1,3,5,8,6]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[7,5,1,8,6,2,3,4]=>[2,4,8,1,3,7,6,5]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[7,4,8,6,1,5,2,3]=>[2,5,1,3,8,4,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[7,1,8,4,5,2,6,3]=>[2,8,1,5,4,7,3,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[6,8,1,7,4,2,5,3]=>[3,1,8,2,5,7,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[1,6,7,4,2,8,5,3]=>[8,3,2,5,7,1,4,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,6,7,3,8,5,2,4]=>[8,3,2,6,1,4,7,5]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[7,1,8,3,5,6,2,4]=>[2,8,1,6,4,3,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[7,3,8,6,2,5,1,4]=>[2,6,1,3,7,4,8,5]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[7,4,2,8,6,1,3,5]=>[2,5,7,1,3,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,3,1,8,4,2,5,6]=>[2,6,8,1,5,7,4,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[7,2,8,4,1,5,3,6]=>[2,7,1,5,8,4,6,3]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[7,2,8,3,5,1,6,4]=>[2,7,1,6,4,8,3,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,2,8,3,4,6,1,5]=>[2,7,1,6,5,3,8,4]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[1,5,7,8,2,6,3,4]=>[8,4,2,1,7,3,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[6,2,3,8,5,7,4,1]=>[3,7,6,1,4,2,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[6,2,4,8,5,3,1,7]=>[3,7,5,1,4,6,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[6,3,1,4,8,5,2,7]=>[3,6,8,5,1,4,7,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[2,6,3,7,8,5,4,1]=>[7,3,6,2,1,4,5,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,6,3,7,8,4,5,1]=>[7,3,6,2,1,5,4,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,4,7,3,5,6,8,1]=>[7,5,2,6,4,3,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[2,4,7,3,6,8,5,1]=>[7,5,2,6,3,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[2,5,3,7,8,1,6,4]=>[7,4,6,2,1,8,3,5]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[3,1,5,4,7,8,2,6]=>[6,8,4,5,2,1,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[5,3,1,4,8,2,6,7]=>[4,6,8,5,1,7,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,2,4,8,6,1,3,7]=>[4,7,5,1,3,8,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[5,2,3,8,4,6,7,1]=>[4,7,6,1,5,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[4,8,2,3,6,1,7,5]=>[5,1,7,6,3,8,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[4,8,2,3,5,7,1,6]=>[5,1,7,6,4,2,8,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[1,4,7,8,3,6,2,5]=>[8,5,2,1,6,3,7,4]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[4,8,1,3,6,7,2,5]=>[5,1,8,6,3,2,7,4]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[5,3,8,2,4,7,1,6]=>[4,6,1,7,5,2,8,3]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[5,4,3,8,1,2,7,6]=>[4,5,6,1,8,7,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,4,2,8,1,3,7,5]=>[3,5,7,1,8,6,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,3,8,2,5,1,7,4]=>[3,6,1,7,4,8,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[6,3,8,1,4,7,2,5]=>[3,6,1,8,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[5,8,1,3,6,2,7,4]=>[4,1,8,6,3,7,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[1,5,7,4,2,6,8,3]=>[8,4,2,5,7,3,1,6]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[5,8,1,4,2,6,3,7]=>[4,1,8,5,7,3,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,8,4,1,2,7,6,3]=>[4,1,5,8,7,2,3,6]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,5,1,2,8,7,3,4]=>[3,4,8,7,1,2,6,5]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[6,5,3,1,4,2,8,7]=>[3,4,6,8,5,7,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[5,3,1,6,4,2,7,8]=>[4,6,8,3,5,7,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[4,6,1,7,5,2,8,3]=>[5,3,8,2,4,7,1,6]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[4,5,1,7,2,6,3,8]=>[5,4,8,2,7,3,6,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,5,6,1,2,8,7,4]=>[6,4,3,8,7,1,2,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,5,7,1,8,6,2,4]=>[6,4,2,8,1,3,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,6,2,7,5,1,8,4]=>[6,3,7,2,4,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[4,2,5,7,1,8,6,3]=>[5,7,4,2,8,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[3,4,7,2,8,6,1,5]=>[6,5,2,7,1,3,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,4,5,8,2,7,1,6]=>[6,5,4,1,7,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[3,4,6,2,8,1,5,7]=>[6,5,3,7,1,8,4,2]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[3,5,2,6,8,1,7,4]=>[6,4,7,3,1,8,2,5]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[4,2,5,6,1,3,8,7]=>[5,7,4,3,8,6,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,3,1,2,5,6,8,7]=>[5,6,8,7,4,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[5,3,6,8,4,7,2,1]=>[4,6,3,1,5,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[3,7,2,5,4,8,6,1]=>[6,2,7,4,5,1,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[4,7,2,5,8,3,6,1]=>[5,2,7,4,1,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[5,2,6,8,4,3,7,1]=>[4,7,3,1,5,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[3,1,6,5,4,8,2,7]=>[6,8,3,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[4,1,6,5,8,3,2,7]=>[5,8,3,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[5,1,6,8,4,3,2,7]=>[4,8,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[8,5,4,7,6,3,2,1]=>[1,4,5,2,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[5,7,1,8,4,3,2,6]=>[4,2,8,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[2,7,1,5,4,3,8,6]=>[7,2,8,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[8,2,1,5,4,3,7,6]=>[1,7,8,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[8,4,1,5,7,3,2,6]=>[1,5,8,4,2,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,4,6,1,7,3,2,5]=>[1,5,3,8,2,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[8,3,6,1,4,7,2,5]=>[1,6,3,8,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[2,7,6,1,4,3,8,5]=>[7,2,3,8,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[6,7,8,5,1,3,2,4]=>[3,2,1,4,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[5,7,2,8,4,3,6,1]=>[4,2,7,1,5,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[8,3,6,2,4,7,5,1]=>[1,6,3,7,5,2,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[3,7,6,2,4,8,5,1]=>[6,2,3,7,5,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[5,7,3,8,4,6,2,1]=>[4,2,6,1,5,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,7,3,5,8,6,2,1]=>[5,2,6,4,1,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[8,7,2,1,4,3,6,5]=>[1,2,7,8,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[8,7,3,1,4,6,2,5]=>[1,2,6,8,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[8,7,6,3,2,5,4,1]=>[1,2,3,6,7,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[8,7,3,5,1,6,2,4]=>[1,2,6,4,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,7,2,5,1,3,6,4]=>[1,2,7,4,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[8,2,6,5,1,3,7,4]=>[1,7,3,4,8,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[8,4,6,5,7,1,2,3]=>[1,5,3,4,2,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[4,7,6,5,8,1,2,3]=>[5,2,3,4,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[8,1,2,3,4,5,6,7,9]=>[2,9,8,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9]
[1,9,2,3,4,5,6,7,8]=>[9,1,8,7,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[2,7]
[9,1,2,3,4,5,6,7,8,10]=>[2,10,9,8,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[1,10,2,3,4,5,6,7,8,9]=>[10,1,9,8,7,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[2,8]
[7,1,8,2,3,4,5,6,9]=>[3,9,2,8,7,6,5,4,1]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>[3,6]
[1,8,2,9,3,4,5,6,7]=>[9,2,8,1,7,6,5,4,3]=>[[1,3],[2,5],[4],[6],[7],[8],[9]]=>[2,2,5]
[3,6,4,8,7,5,1,2]=>[6,3,5,1,2,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[5,6,4,3,8,7,1,2]=>[4,3,5,6,1,2,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[1,6,2,4,7,8,5,3]=>[8,3,7,5,2,1,4,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[3,6,2,4,8,1,5,7]=>[6,3,7,5,1,8,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[3,4,7,2,8,1,6,5]=>[6,5,2,7,1,8,3,4]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[1,4,7,2,5,8,6,3]=>[8,5,2,7,4,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[7,3,8,4,5,6,1,2]=>[2,6,1,5,4,3,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[3,5,6,4,8,7,1,2]=>[6,4,3,5,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[4,6,8,5,3,7,1,2]=>[5,3,1,4,6,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[6,8,5,3,4,7,1,2]=>[3,1,4,6,5,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[1,6,5,4,2,8,7,3]=>[8,3,4,5,7,1,2,6]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[1,8,5,2,7,3,6,4]=>[8,1,4,7,2,6,3,5]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[4,2,7,5,1,8,6,3]=>[5,7,2,4,8,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[7,8,1,4,2,6,5,3]=>[2,1,8,5,7,3,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[1,3,6,4,8,2,5,7]=>[8,6,3,5,1,7,4,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[6,5,1,3,4,2,8,7]=>[3,4,8,6,5,7,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[4,8,5,3,1,7,2,6]=>[5,1,4,6,8,2,7,3]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[7,4,5,3,2,8,1,6]=>[2,5,4,6,7,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,8,3,6,1,4,2,7]=>[4,1,6,3,8,5,7,2]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,5,8,6,4,1,3,7]=>[7,4,1,3,5,8,6,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[1,4,6,2,5,8,3,7]=>[8,5,3,7,4,1,6,2]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,6,2,5,8,1,7,4]=>[6,3,7,4,1,8,2,5]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[1,6,8,7,4,2,3,5]=>[8,3,1,2,5,7,6,4]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[6,1,7,8,2,4,3,5]=>[3,8,2,1,7,5,6,4]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[7,1,8,6,3,4,2,5]=>[2,8,1,3,6,5,7,4]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[7,2,1,4,5,6,8,3]=>[2,7,8,5,4,3,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[1,2,8,3,6,5,7,4]=>[8,7,1,6,3,4,2,5]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[6,1,3,2,7,5,8,4]=>[3,8,6,7,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[1,6,3,8,5,7,2,4]=>[8,3,6,1,4,2,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,6,4,1,7,5,8,3]=>[7,3,5,8,2,4,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[7,6,5,8,1,4,2,3]=>[2,3,4,1,8,5,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[5,8,6,7,3,2,1,4]=>[4,1,3,2,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[1,6,4,3,7,2,8,5]=>[8,3,5,6,2,7,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,6,3,4,8,7,1,5]=>[7,3,6,5,1,2,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[7,1,3,4,5,2,8,6]=>[2,8,6,5,4,7,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[1,8,3,5,4,2,7,6]=>[8,1,6,4,5,7,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,1,6,3,8,2,7,5]=>[5,8,3,6,1,7,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[7,8,2,4,6,3,1,5]=>[2,1,7,5,3,6,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[3,2,6,4,7,8,1,5]=>[6,7,3,5,2,1,8,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[2,8,5,7,4,3,1,6]=>[7,1,4,2,5,6,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[7,2,5,8,3,4,1,6]=>[2,7,4,1,6,5,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[5,3,8,7,1,2,6,4]=>[4,6,1,2,8,7,3,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[7,5,8,4,1,2,3,6]=>[2,4,1,5,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,8,7,4,1,3,2,6]=>[4,1,2,5,8,6,7,3]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[3,5,7,8,4,1,2,6]=>[6,4,2,1,5,8,7,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[1,4,7,5,3,8,2,6]=>[8,5,2,4,6,1,7,3]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[2,4,6,7,3,1,8,5]=>[7,5,3,2,6,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[7,8,4,6,3,1,2,5]=>[2,1,5,3,6,8,7,4]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[2,6,4,5,3,8,1,7]=>[7,3,5,4,6,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,6,5,8,4,2,1,7]=>[6,3,4,1,5,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[5,6,8,4,2,3,1,7]=>[4,3,1,5,7,6,8,2]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[6,8,5,4,3,1,2,7]=>[3,1,4,5,6,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[6,1,4,2,8,5,7,3]=>[3,8,5,7,1,4,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[4,8,6,5,3,2,7,1]=>[5,1,3,4,6,7,2,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[8,6,5,1,2,4,7,3]=>[1,3,4,8,7,5,2,6]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[6,7,5,8,2,1,4,3]=>[3,2,4,1,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[1,7,5,8,2,6,4,3]=>[8,2,4,1,7,3,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,3,8,5,7,6,2,4]=>[8,6,1,4,2,3,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[6,3,8,5,7,1,2,4]=>[3,6,1,4,2,8,7,5]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[8,3,1,5,6,2,7,4]=>[1,6,8,4,3,7,2,5]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[6,8,5,2,1,4,7,3]=>[3,1,4,7,8,5,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[3,8,2,5,6,1,7,4]=>[6,1,7,4,3,8,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[2,8,1,5,6,3,7,4]=>[7,1,8,4,3,6,2,5]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[8,1,2,5,6,3,7,4]=>[1,8,7,4,3,6,2,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[1,8,2,5,7,6,3,4]=>[8,1,7,4,2,3,6,5]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,1,8,6,2,7,3,4]=>[4,8,1,3,7,2,6,5]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,5,8,6,1,7,3,4]=>[7,4,1,3,8,2,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[8,6,1,5,7,2,3,4]=>[1,3,8,4,2,7,6,5]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[3,8,6,5,7,1,2,4]=>[6,1,3,4,2,8,7,5]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[7,6,5,8,1,2,4,3]=>[2,3,4,1,8,7,5,6]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[5,1,7,6,8,4,2,3]=>[4,8,2,3,1,5,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[5,1,3,7,8,6,2,4]=>[4,8,6,2,1,3,7,5]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[7,2,5,8,1,6,4,3]=>[2,7,4,1,8,3,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[3,2,8,5,7,6,1,4]=>[6,7,1,4,2,3,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[8,2,1,5,7,6,3,4]=>[1,7,8,4,2,3,6,5]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,2,8,6,1,7,3,4]=>[4,7,1,3,8,2,6,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[1,2,8,6,5,7,3,4]=>[8,7,1,3,4,2,6,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[4,2,1,3,6,7,8,5]=>[5,7,8,6,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,2,5,6,3,7,1,4]=>[1,7,4,3,6,2,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,2,6,5,4,1,8,3]=>[2,7,3,4,5,8,1,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[6,1,3,5,4,7,8,2]=>[3,8,6,4,5,2,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[6,1,5,3,4,7,8,2]=>[3,8,4,6,5,2,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[7,5,6,2,4,1,8,3]=>[2,4,3,7,5,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,5,2,6,3,7,1,4]=>[1,4,7,3,6,2,8,5]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[4,3,1,2,6,7,8,5]=>[5,6,8,7,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,1,6,5,7,3,2,4]=>[1,8,3,4,2,6,7,5]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[3,5,8,6,2,7,1,4]=>[6,4,1,3,7,2,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[5,8,1,6,3,7,2,4]=>[4,1,8,3,6,2,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[1,8,5,6,3,7,2,4]=>[8,1,4,3,6,2,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,7,6,5,4,2,8,3]=>[8,2,3,4,5,7,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[5,7,6,1,4,2,8,3]=>[4,2,3,8,5,7,1,6]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[7,1,4,2,6,5,8,3]=>[2,8,5,7,3,4,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,1,7,3,5,6,8,2]=>[5,8,2,6,4,3,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,7,4,1,5,6,8,3]=>[7,2,5,8,4,3,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[5,7,6,4,1,2,8,3]=>[4,2,3,5,8,7,1,6]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[4,7,6,1,5,2,8,3]=>[5,2,3,8,4,7,1,6]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[1,7,6,4,5,2,8,3]=>[8,2,3,5,4,7,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[1,8,3,6,5,7,2,4]=>[8,1,6,3,4,2,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,8,1,6,5,7,2,4]=>[6,1,8,3,4,2,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[8,1,3,5,7,6,2,4]=>[1,8,6,4,2,3,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[7,8,5,4,1,6,2,3]=>[2,1,4,5,8,3,7,6]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[6,1,5,4,3,7,8,2]=>[3,8,4,5,6,2,1,7]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[7,5,6,4,2,1,8,3]=>[2,4,3,5,7,8,1,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[8,3,2,6,5,7,1,4]=>[1,6,7,3,4,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[7,4,6,2,5,1,8,3]=>[2,5,3,7,4,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[6,1,4,3,5,7,8,2]=>[3,8,5,6,4,2,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[6,1,3,4,5,7,8,2]=>[3,8,6,5,4,2,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[7,2,6,4,5,1,8,3]=>[2,7,3,5,4,8,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,2,3,6,5,7,1,4]=>[1,7,6,3,4,2,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,4,7,3,6,8,1,2]=>[4,5,2,6,3,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[3,4,7,8,5,6,1,2]=>[6,5,2,1,4,3,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[3,4,7,2,5,1,6,8]=>[6,5,2,7,4,8,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[1,4,7,2,5,8,3,6]=>[8,5,2,7,4,1,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,6,2,4,7,1,5,8]=>[6,3,7,5,2,8,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[6,8,3,4,5,7,1,2]=>[3,1,6,5,4,2,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[4,3,6,7,5,8,1,2]=>[5,6,3,2,4,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[6,3,7,5,8,4,1,2]=>[3,6,2,4,1,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[7,3,8,6,4,5,1,2]=>[2,6,1,3,5,4,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[3,2,7,6,5,1,4,8]=>[6,7,2,3,4,8,5,1]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[1,2,7,6,5,8,3,4]=>[8,7,2,3,4,1,6,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[4,8,2,6,1,5,3,7]=>[5,1,7,3,8,4,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,3,8,6,4,1,5,7]=>[7,6,1,3,5,8,4,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[4,3,6,2,5,1,8,7]=>[5,6,3,7,4,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,8,3,2,5,1,4,6]=>[2,1,6,7,4,8,5,3]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[7,8,1,2,5,6,3,4]=>[2,1,8,7,4,3,6,5]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[4,1,6,2,5,7,3,8]=>[5,8,3,7,4,2,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[6,1,2,5,8,7,3,4]=>[3,8,7,4,1,2,6,5]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[2,1,8,6,4,7,3,5]=>[7,8,1,3,5,2,6,4]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[7,1,3,6,8,4,2,5]=>[2,8,6,3,1,5,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[7,1,5,8,3,6,2,4]=>[2,8,4,1,6,3,7,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[5,1,8,7,2,3,6,4]=>[4,8,1,2,7,6,3,5]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[6,1,5,7,4,2,8,3]=>[3,8,4,2,5,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,1,6,4,7,2,5,8]=>[6,8,3,5,2,7,4,1]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[2,4,7,5,1,8,3,6]=>[7,5,2,4,8,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[6,5,7,1,4,2,3,8]=>[3,4,2,8,5,7,6,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[5,6,8,1,3,2,4,7]=>[4,3,1,8,6,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[6,8,5,1,3,4,2,7]=>[3,1,4,8,6,5,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,8,3,4,5,1,7,6]=>[7,1,6,5,4,8,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[6,2,4,3,1,5,7,8]=>[3,7,5,6,8,4,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[4,2,8,3,1,7,5,6]=>[5,7,1,6,8,2,4,3]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[1,3,7,4,8,2,5,6]=>[8,6,2,5,1,7,4,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[5,3,7,4,1,6,2,8]=>[4,6,2,5,8,3,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[2,4,7,3,6,1,8,5]=>[7,5,2,6,3,8,1,4]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[5,8,7,6,3,1,2,4]=>[4,1,2,3,6,8,7,5]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,5,6,8,1,4,3,2]=>[2,4,3,1,8,5,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[2,4,7,1,6,5,3,8]=>[7,5,2,8,3,4,6,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[6,3,1,2,8,4,5,7]=>[3,6,8,7,1,5,4,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[4,2,1,3,6,5,8,7]=>[5,7,8,6,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[2,8,1,4,5,6,3,7]=>[7,1,8,5,4,3,6,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[7,2,1,5,4,6,3,8]=>[2,7,8,4,5,3,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[4,2,6,1,8,5,3,7]=>[5,7,3,8,1,4,6,2]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[7,8,2,1,4,5,3,6]=>[2,1,7,8,5,4,6,3]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[7,8,4,1,5,3,6,2]=>[2,1,5,8,4,6,3,7]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[3,4,6,1,5,8,7,2]=>[6,5,3,8,4,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[7,5,1,6,4,3,8,2]=>[2,4,8,3,5,6,1,7]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[5,8,1,6,3,4,7,2]=>[4,1,8,3,6,5,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,5,1,8,2,7,4,3]=>[3,4,8,1,7,2,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,8,1,7,5,2,3,4]=>[3,1,8,2,4,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,6,1,8,5,3,2,4]=>[2,3,8,1,4,6,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[5,6,1,7,4,8,2,3]=>[4,3,8,2,5,1,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,6,1,5,7,4,2,8]=>[6,3,8,4,2,5,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[2,5,6,1,7,4,8,3]=>[7,4,3,8,2,5,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,1,7,5,6,4,8,2]=>[6,8,2,4,3,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,1,7,6,4,8,3,2]=>[4,8,2,3,5,1,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[6,1,7,8,5,3,4,2]=>[3,8,2,1,4,6,5,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[7,1,8,6,5,4,2,3]=>[2,8,1,3,4,5,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[2,6,5,7,3,4,8,1]=>[7,3,4,2,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[1,6,4,7,5,8,2,3]=>[8,3,5,2,4,1,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[8,5,3,6,2,7,4,1]=>[1,4,6,3,7,2,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[1,3,7,4,6,8,2,5]=>[8,6,2,5,3,1,7,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[4,7,5,6,3,2,8,1]=>[5,2,4,3,6,7,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[1,7,6,5,4,8,2,3]=>[8,2,3,4,5,1,7,6]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[8,1,6,5,7,2,4,3]=>[1,8,3,4,2,7,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[1,2,7,6,8,3,4,5]=>[8,7,2,3,1,6,5,4]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[6,1,7,5,3,8,2,4]=>[3,8,2,4,6,1,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[2,1,7,5,6,8,3,4]=>[7,8,2,4,3,1,6,5]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[5,4,1,7,6,8,2,3]=>[4,5,8,2,3,1,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[4,8,5,6,2,7,3,1]=>[5,1,4,3,7,2,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,8,6,4,2,7,5,1]=>[6,1,3,5,7,2,4,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[7,8,5,2,4,6,3,1]=>[2,1,4,7,5,3,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[2,8,6,3,7,4,5,1]=>[7,1,3,6,2,5,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[7,8,1,6,2,4,5,3]=>[2,1,8,3,7,5,4,6]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,8,1,4,7,2,5,3]=>[3,1,8,5,2,7,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[3,8,4,1,7,2,6,5]=>[6,1,5,8,2,7,3,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[5,4,7,1,8,3,2,6]=>[4,5,2,8,1,6,7,3]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[3,7,4,1,8,5,2,6]=>[6,2,5,8,1,4,7,3]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[6,7,1,4,8,3,2,5]=>[3,2,8,5,1,6,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[2,7,1,8,4,5,3,6]=>[7,2,8,1,5,4,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[6,1,2,8,4,3,5,7]=>[3,8,7,1,5,6,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[6,5,1,4,3,8,2,7]=>[3,4,8,5,6,1,7,2]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[1,6,2,5,8,3,4,7]=>[8,3,7,4,1,6,5,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[8,5,1,3,7,2,6,4]=>[1,4,8,6,2,7,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,4,2,1,7,3,6,5]=>[1,5,7,8,2,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[7,4,2,1,8,5,3,6]=>[2,5,7,8,1,4,6,3]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,5,4,2,8,3,6,7]=>[8,4,5,7,1,6,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[6,4,3,1,5,8,2,7]=>[3,5,6,8,4,1,7,2]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[3,7,6,8,4,5,2,1]=>[6,2,3,1,5,4,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[2,7,6,8,5,3,4,1]=>[7,2,3,1,4,6,5,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[1,7,6,8,5,4,2,3]=>[8,2,3,1,4,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[1,4,8,6,7,5,2,3]=>[8,5,1,3,2,4,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[2,4,8,6,7,3,5,1]=>[7,5,1,3,2,6,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,3,8,5,4,6,2,1]=>[2,6,1,4,5,3,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[3,4,8,5,6,7,2,1]=>[6,5,1,4,3,2,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[6,3,5,8,4,7,2,1]=>[3,6,4,1,5,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[5,4,3,8,6,7,2,1]=>[4,5,6,1,3,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[5,4,2,8,7,3,6,1]=>[4,5,7,1,2,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[6,2,5,8,7,3,4,1]=>[3,7,4,1,2,6,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[3,2,8,5,7,4,6,1]=>[6,7,1,4,2,5,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[1,3,8,7,5,6,2,4]=>[8,6,1,2,4,3,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[2,1,8,7,4,6,3,5]=>[7,8,1,2,5,3,6,4]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[3,1,8,5,7,6,2,4]=>[6,8,1,4,2,3,7,5]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[6,1,5,8,7,4,2,3]=>[3,8,4,1,2,5,7,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[5,4,1,8,7,6,2,3]=>[4,5,8,1,2,3,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[5,8,6,7,4,3,2,1]=>[4,1,3,2,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[4,8,7,5,6,3,2,1]=>[5,1,2,4,3,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[6,2,1,4,3,8,5,7]=>[3,7,8,5,6,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,2,1,4,3,6,5,7]=>[1,7,8,5,6,3,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,2,4,1,3,6,5,7]=>[1,7,5,8,6,3,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,2,4,1,3,8,5,7]=>[3,7,5,8,6,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[4,2,6,1,3,5,8,7]=>[5,7,3,8,6,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[2,1,6,4,3,5,8,7]=>[7,8,3,5,6,4,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[4,6,2,1,3,5,8,7]=>[5,3,7,8,6,4,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[8,4,2,1,3,6,5,7]=>[1,5,7,8,6,3,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,4,2,1,6,3,5,7]=>[1,5,7,8,3,6,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,6,2,1,8,3,5,7]=>[5,3,7,8,1,6,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,1,6,4,3,8,5,7]=>[7,8,3,5,6,1,4,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,1,8,4,3,6,5,7]=>[7,8,1,5,6,3,4,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,8,1,4,3,6,5,7]=>[7,1,8,5,6,3,4,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,8,4,1,3,6,5,7]=>[7,1,5,8,6,3,4,2]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[4,8,2,1,3,6,5,7]=>[5,1,7,8,6,3,4,2]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[4,8,2,1,6,3,5,7]=>[5,1,7,8,3,6,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[6,8,2,1,4,3,5,7]=>[3,1,7,8,5,6,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,6,2,1,4,3,5,7]=>[1,3,7,8,5,6,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[2,8,1,4,6,3,5,7]=>[7,1,8,5,3,6,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,6,1,4,8,3,5,7]=>[7,3,8,5,1,6,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,6,4,1,8,3,5,7]=>[7,3,5,8,1,6,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,6,4,8,1,3,5,7]=>[7,3,5,1,8,6,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,6,2,8,1,3,5,7]=>[5,3,7,1,8,6,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,2,6,1,3,8,5,7]=>[5,7,3,8,6,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,2,4,1,8,3,5,7]=>[3,7,5,8,1,6,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,2,4,1,6,3,5,7]=>[1,7,5,8,3,6,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,2,1,4,6,3,5,7]=>[1,7,8,5,3,6,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,2,1,6,8,3,5,7]=>[5,7,8,3,1,6,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,2,1,3,6,8,5,7]=>[5,7,8,6,3,1,4,2]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[2,1,4,3,8,6,5,7]=>[7,8,5,6,1,3,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[2,4,1,3,8,6,5,7]=>[7,5,8,6,1,3,4,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[4,2,1,3,8,6,5,7]=>[5,7,8,6,1,3,4,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[4,2,1,8,3,6,5,7]=>[5,7,8,1,6,3,4,2]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[6,2,1,8,4,3,5,7]=>[3,7,8,1,5,6,4,2]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[8,2,1,6,4,3,5,7]=>[1,7,8,3,5,6,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,2,6,1,4,3,5,7]=>[1,7,3,8,5,6,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,2,8,1,4,3,5,7]=>[3,7,1,8,5,6,4,2]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,2,8,1,6,3,5,7]=>[5,7,1,8,3,6,4,2]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,2,8,1,3,6,5,7]=>[5,7,1,8,6,3,4,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[2,4,8,1,3,6,5,7]=>[7,5,1,8,6,3,4,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[2,4,1,8,3,6,5,7]=>[7,5,8,1,6,3,4,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,1,4,8,3,6,5,7]=>[7,8,5,1,6,3,4,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[2,4,8,1,6,3,5,7]=>[7,5,1,8,3,6,4,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[2,4,8,6,1,3,5,7]=>[7,5,1,3,8,6,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[4,2,8,6,1,3,5,7]=>[5,7,1,3,8,6,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[6,2,8,4,1,3,5,7]=>[3,7,1,5,8,6,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[8,2,6,4,1,3,5,7]=>[1,7,3,5,8,6,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,4,6,2,1,3,5,7]=>[1,5,3,7,8,6,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[6,4,8,2,1,3,5,7]=>[3,5,1,7,8,6,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[4,6,8,2,1,3,5,7]=>[5,3,1,7,8,6,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[2,6,8,4,1,3,5,7]=>[7,3,1,5,8,6,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[2,6,8,1,4,3,5,7]=>[7,3,1,8,5,6,4,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[2,1,6,8,4,3,5,7]=>[7,8,3,1,5,6,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[2,8,1,6,4,3,5,7]=>[7,1,8,3,5,6,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,8,6,4,1,3,5,7]=>[7,1,3,5,8,6,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[4,8,6,2,1,3,5,7]=>[5,1,3,7,8,6,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,8,4,2,1,3,5,7]=>[3,1,5,7,8,6,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[3,2,6,1,5,4,8,7]=>[6,7,3,8,4,5,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[5,2,4,3,8,1,7,6]=>[4,7,5,6,1,8,2,3]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[6,2,4,1,5,3,8,7]=>[3,7,5,8,4,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[4,3,6,1,5,2,8,7]=>[5,6,3,8,4,7,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[4,3,5,2,8,1,7,6]=>[5,6,4,7,1,8,2,3]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[4,3,7,2,6,5,8,1]=>[5,6,2,7,3,4,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[4,3,8,2,6,1,7,5]=>[5,6,1,7,3,8,2,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,3,8,1,7,2,6,5]=>[5,6,1,8,2,7,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[4,3,8,1,5,2,7,6]=>[5,6,1,8,4,7,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[5,1,8,3,4,2,7,6]=>[4,8,1,6,5,7,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[5,4,8,1,3,2,7,6]=>[4,5,1,8,6,7,2,3]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[2,1,5,4,8,3,7,6]=>[7,8,4,5,1,6,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[5,1,7,6,8,3,4,2]=>[4,8,2,3,1,6,5,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[4,3,7,6,8,1,5,2]=>[5,6,2,3,1,8,4,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[4,3,7,1,8,5,6,2]=>[5,6,2,8,1,4,3,7]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[4,3,6,5,8,1,7,2]=>[5,6,3,4,1,8,2,7]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[6,3,5,4,7,2,8,1]=>[3,6,4,5,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[6,3,5,4,8,1,7,2]=>[3,6,4,5,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[7,1,6,3,8,4,5,2]=>[2,8,3,6,1,5,4,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,4,6,5,8,1,3,2]=>[2,5,3,4,1,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[2,1,8,4,6,3,7,5]=>[7,8,1,5,3,6,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[8,4,6,1,3,2,7,5]=>[1,5,3,8,6,7,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[8,1,6,3,4,2,7,5]=>[1,8,3,6,5,7,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,1,6,3,7,2,5,4]=>[1,8,3,6,2,7,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[8,3,5,1,7,2,6,4]=>[1,6,4,8,2,7,3,5]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[8,3,5,2,6,1,7,4]=>[1,6,4,7,3,8,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,3,5,2,6,4,8,1]=>[2,6,4,7,3,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,2,6,3,5,1,7,4]=>[1,7,3,6,4,8,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,2,7,1,5,3,6,4]=>[1,7,2,8,4,6,3,5]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[8,2,4,1,5,3,7,6]=>[1,7,5,8,4,6,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[8,2,4,1,7,3,6,5]=>[1,7,5,8,2,6,3,4]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[8,2,4,3,6,1,7,5]=>[1,7,5,6,3,8,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,2,8,4,6,1,7,5]=>[6,7,1,5,3,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,2,8,1,5,4,7,6]=>[6,7,1,8,4,5,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[3,2,7,6,8,1,5,4]=>[6,7,2,3,1,8,4,5]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[3,2,7,1,8,5,6,4]=>[6,7,2,8,1,4,3,5]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[3,2,6,5,8,1,7,4]=>[6,7,3,4,1,8,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[6,5,7,2,4,3,8,1]=>[3,4,2,7,5,6,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[6,5,8,2,4,1,7,3]=>[3,4,1,7,5,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,2,4,1,8,5,6,3]=>[2,7,5,8,1,4,3,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,6,8,2,4,1,5,3]=>[2,3,1,7,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,6,8,1,5,2,4,3]=>[2,3,1,8,4,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[2,1,7,3,8,5,6,4]=>[7,8,2,6,1,4,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,1,3,2,8,5,6,4]=>[2,8,6,7,1,4,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,1,8,5,6,2,4,3]=>[2,8,1,4,3,7,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,1,8,2,6,4,5,3]=>[2,8,1,7,3,5,4,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,2,8,1,5,4,6,3]=>[2,7,1,8,4,5,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,2,7,4,5,3,8,1]=>[3,7,2,5,4,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,4,7,2,6,3,8,1]=>[4,5,2,7,3,6,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,4,8,2,6,1,7,3]=>[4,5,1,7,3,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[6,5,8,1,7,2,4,3]=>[3,4,1,8,2,7,5,6]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[2,1,6,5,8,3,7,4]=>[7,8,3,4,1,6,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[6,5,7,4,8,1,3,2]=>[3,4,2,5,1,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[6,5,7,1,8,3,4,2]=>[3,4,2,8,1,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[6,1,7,4,8,3,5,2]=>[3,8,2,5,1,6,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[5,4,7,1,8,3,6,2]=>[4,5,2,8,1,6,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[5,4,6,3,8,1,7,2]=>[4,5,3,6,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[2,8,3,1,5,4,6,7]=>[7,1,6,8,4,5,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,5,3,4,7,1,8,6]=>[7,4,6,5,2,8,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[2,4,8,3,5,7,6,1]=>[7,5,1,6,4,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[4,2,5,3,1,8,6,7]=>[5,7,4,6,8,1,3,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[4,2,1,8,5,3,6,7]=>[5,7,8,1,4,6,3,2]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[5,4,1,3,8,2,6,7]=>[4,5,8,6,1,7,3,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[5,1,4,8,3,2,6,7]=>[4,8,5,1,6,7,3,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[1,5,8,4,3,2,6,7]=>[8,4,1,5,6,7,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[1,8,5,4,3,2,6,7]=>[8,1,4,5,6,7,3,2]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[1,7,4,3,8,5,2,6]=>[8,2,5,6,1,4,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[1,5,7,3,8,4,2,6]=>[8,4,2,6,1,5,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[5,1,4,7,8,3,2,6]=>[4,8,5,2,1,6,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[4,8,1,5,7,3,6,2]=>[5,1,8,4,2,6,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[8,1,5,3,7,4,6,2]=>[1,8,4,6,2,5,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[3,8,4,7,6,5,2,1]=>[6,1,5,2,3,4,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[1,6,8,5,3,7,4,2]=>[8,3,1,4,6,2,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,8,1,7,4,3,5,2]=>[3,1,8,2,5,6,4,7]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[6,4,8,1,7,3,5,2]=>[3,5,1,8,2,6,4,7]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,4,8,7,1,5,2,3]=>[3,5,1,2,8,4,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[7,6,4,1,3,8,2,5]=>[2,3,5,8,6,1,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,7,5,6,3,2,8,4]=>[8,2,4,3,6,7,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,2,1,7,8,5,3,6]=>[5,7,8,2,1,4,6,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[2,7,4,6,3,1,8,5]=>[7,2,5,3,6,8,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[2,6,8,4,3,7,5,1]=>[7,3,1,5,6,2,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,2,4,8,3,7,5,1]=>[3,7,5,1,6,2,4,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[7,2,6,3,4,1,8,5]=>[2,7,3,6,5,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,6,7,3,1,4,8,5]=>[7,3,2,6,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[2,7,1,8,3,5,4,6]=>[7,2,8,1,6,4,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,1,7,3,5,8,4,6]=>[7,8,2,6,4,1,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[8,7,1,3,6,2,4,5]=>[1,2,8,6,3,7,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,2,1,7,3,5,6,4]=>[1,7,8,2,6,4,3,5]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[7,8,2,6,3,1,5,4]=>[2,1,7,3,6,8,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,7,2,6,3,5,4,1]=>[1,2,7,3,6,4,5,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[1,2,8,7,4,5,6,3]=>[8,7,1,2,5,4,3,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[8,3,7,1,5,6,2,4]=>[1,6,2,8,4,3,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,6,1,2,7,5,3,4]=>[1,3,8,7,2,4,6,5]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,1,6,2,7,4,5,3]=>[1,8,3,7,2,5,4,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,8,5,2,6,7,4,3]=>[8,1,4,7,3,2,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[5,2,1,8,6,7,4,3]=>[4,7,8,1,3,2,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[2,8,5,7,6,4,3,1]=>[7,1,4,2,3,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[1,7,8,5,2,6,4,3]=>[8,2,1,4,7,3,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[7,8,1,6,4,2,5,3]=>[2,1,8,3,5,7,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,8,6,1,5,3,2,4]=>[2,1,3,8,4,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[7,3,8,6,1,5,2,4]=>[2,6,1,3,8,4,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,7,6,1,5,3,4,2]=>[1,2,3,8,4,6,5,7]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[8,7,1,6,4,5,3,2]=>[1,2,8,3,5,4,6,7]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[8,1,7,5,6,4,3,2]=>[1,8,2,4,3,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[1,8,6,7,5,4,3,2]=>[8,1,3,2,4,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[6,3,5,2,1,4,8,7]=>[3,6,4,7,8,5,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[6,3,5,7,2,8,4,1]=>[3,6,4,2,7,1,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[8,5,2,7,4,3,1,6]=>[1,4,7,2,5,6,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,5,3,6,1,2,8,7]=>[5,4,6,3,8,7,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,5,1,4,6,2,8,7]=>[6,4,8,5,3,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[8,3,4,5,7,2,1,6]=>[1,6,5,4,2,7,8,3]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,7,4,6,3,8,2,1]=>[4,2,5,3,6,1,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[2,8,4,6,3,7,1,5]=>[7,1,5,3,6,2,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,1,4,7,3,6,2,5]=>[1,8,5,2,6,3,7,4]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,3,4,7,5,1,2,6]=>[1,6,5,2,4,8,7,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,5,1,4,7,3,2,6]=>[1,4,8,5,2,6,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,5,3,7,1,4,2,6]=>[1,4,6,2,8,5,7,3]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[2,1,8,5,7,4,3,6]=>[7,8,1,4,2,5,6,3]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[6,5,3,7,1,8,4,2]=>[3,4,6,2,8,1,5,7]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,5,1,4,7,8,3,2]=>[3,4,8,5,2,1,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[6,3,4,7,5,8,1,2]=>[3,6,5,2,4,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[5,1,4,6,8,3,7,2]=>[4,8,5,3,1,6,2,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[4,7,1,3,5,8,6,2]=>[5,2,8,6,4,1,3,7]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,8,3,7,1,2,6,5]=>[5,1,6,2,8,7,3,4]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[3,8,6,4,1,7,2,5]=>[6,1,3,5,8,2,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[3,8,1,2,5,7,6,4]=>[6,1,8,7,4,2,3,5]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[2,8,7,5,4,1,3,6]=>[7,1,2,4,5,8,6,3]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,7,2,6,4,1,3,5]=>[1,2,7,3,5,8,6,4]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[3,8,6,7,4,2,1,5]=>[6,1,3,2,5,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[5,7,6,8,4,2,3,1]=>[4,2,3,1,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[5,3,7,8,2,4,6,1]=>[4,6,2,1,7,5,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[8,3,6,2,1,4,7,5]=>[1,6,3,7,8,5,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[5,3,7,6,2,1,8,4]=>[4,6,2,3,7,8,1,5]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[5,3,6,2,8,7,1,4]=>[4,6,3,7,1,2,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,7,8,6,4,2,1,3]=>[4,2,1,3,5,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[2,6,7,5,4,8,1,3]=>[7,3,2,4,5,1,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,1,7,4,5,8,2,3]=>[3,8,2,5,4,1,7,6]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[6,7,3,5,1,8,2,4]=>[3,2,6,4,8,1,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[2,1,6,7,5,8,3,4]=>[7,8,3,2,4,1,6,5]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,1,5,7,3,6,8,4]=>[7,8,4,2,6,3,1,5]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[5,7,3,6,1,2,8,4]=>[4,2,6,3,8,7,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[4,1,7,2,5,6,8,3]=>[5,8,2,7,4,3,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,4,7,1,6,5,8,3]=>[7,5,2,8,3,4,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[4,6,2,1,8,7,5,3]=>[5,3,7,8,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[3,4,6,2,7,8,5,1]=>[6,5,3,7,2,1,4,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[4,6,1,2,5,8,7,3]=>[5,3,8,7,4,1,2,6]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[5,6,1,4,8,2,7,3]=>[4,3,8,5,1,7,2,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[5,6,3,1,8,7,2,4]=>[4,3,6,8,1,2,7,5]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[3,5,6,4,7,1,8,2]=>[6,4,3,5,2,8,1,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[3,4,6,1,5,7,8,2]=>[6,5,3,8,4,2,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[3,4,1,5,7,6,8,2]=>[6,5,8,4,2,3,1,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[3,8,2,7,1,6,5,4]=>[6,1,7,2,8,3,4,5]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[3,8,2,7,6,1,5,4]=>[6,1,7,2,3,8,4,5]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[3,8,2,7,6,5,1,4]=>[6,1,7,2,3,4,8,5]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[3,8,2,7,6,5,4,1]=>[6,1,7,2,3,4,5,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[4,8,7,2,6,5,3,1]=>[5,1,2,7,3,4,6,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[4,8,7,2,6,5,1,3]=>[5,1,2,7,3,4,8,6]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[4,8,7,2,6,1,5,3]=>[5,1,2,7,3,8,4,6]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[4,8,7,2,1,6,5,3]=>[5,1,2,7,8,3,4,6]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[4,8,7,3,1,6,5,2]=>[5,1,2,6,8,3,4,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[4,8,7,3,2,1,6,5]=>[5,1,2,6,7,8,3,4]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[4,8,7,3,2,6,1,5]=>[5,1,2,6,7,3,8,4]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[4,8,7,3,2,6,5,1]=>[5,1,2,6,7,3,4,8]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[4,8,7,3,6,2,5,1]=>[5,1,2,6,3,7,4,8]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[4,8,7,3,6,2,1,5]=>[5,1,2,6,3,7,8,4]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[4,8,7,3,6,1,5,2]=>[5,1,2,6,3,8,4,7]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[4,8,7,3,6,5,1,2]=>[5,1,2,6,3,4,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[4,8,7,3,6,5,2,1]=>[5,1,2,6,3,4,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[5,8,7,6,3,4,2,1]=>[4,1,2,3,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[5,8,7,6,3,1,4,2]=>[4,1,2,3,6,8,5,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[5,8,7,6,3,2,4,1]=>[4,1,2,3,6,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[5,8,7,6,2,4,3,1]=>[4,1,2,3,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[5,8,7,6,2,1,4,3]=>[4,1,2,3,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[5,8,7,6,4,2,3,1]=>[4,1,2,3,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[5,8,7,6,4,2,1,3]=>[4,1,2,3,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[5,8,7,6,4,1,3,2]=>[4,1,2,3,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[5,8,7,6,4,3,1,2]=>[4,1,2,3,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[7,3,4,2,1,6,5,8]=>[2,6,5,7,8,3,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[7,3,5,2,6,1,4,8]=>[2,6,4,7,3,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,3,5,2,6,4,1,8]=>[2,6,4,7,3,5,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,3,5,2,7,4,8,1]=>[3,6,4,7,2,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,2,1,5,6,4,3,8]=>[2,7,8,4,3,5,6,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[7,3,5,1,6,4,2,8]=>[2,6,4,8,3,5,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[7,4,5,6,1,3,2,8]=>[2,5,4,3,8,6,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,4,5,7,3,2,8,6]=>[8,5,4,2,6,7,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[1,4,6,7,3,8,2,5]=>[8,5,3,2,6,1,7,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[6,4,5,7,3,1,8,2]=>[3,5,4,2,6,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[6,4,5,7,1,3,8,2]=>[3,5,4,2,8,6,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[6,3,5,1,7,4,8,2]=>[3,6,4,8,2,5,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,2,1,5,7,4,8,3]=>[3,7,8,4,2,5,1,6]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[3,2,1,5,7,4,8,6]=>[6,7,8,4,2,5,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[2,4,6,7,3,8,1,5]=>[7,5,3,2,6,1,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[1,4,6,7,3,8,5,2]=>[8,5,3,2,6,1,4,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,5,6,7,8,3,4,2]=>[8,4,3,2,1,6,5,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[2,5,6,7,8,3,1,4]=>[7,4,3,2,1,6,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[3,2,1,6,7,8,4,5]=>[6,7,8,3,2,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[5,2,1,6,7,8,4,3]=>[4,7,8,3,2,1,5,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[5,3,6,1,7,8,4,2]=>[4,6,3,8,2,1,5,7]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[5,4,6,7,1,8,3,2]=>[4,5,3,2,8,1,6,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[1,5,6,7,8,3,2,4]=>[8,4,3,2,1,6,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[6,4,5,7,2,1,8,3]=>[3,5,4,2,7,8,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[5,4,6,7,2,8,3,1]=>[4,5,3,2,7,1,6,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[5,3,6,2,7,8,4,1]=>[4,6,3,7,2,1,5,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[5,3,6,2,7,8,1,4]=>[4,6,3,7,2,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[6,3,5,2,7,1,8,4]=>[3,6,4,7,2,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,3,4,2,1,7,8,5]=>[3,6,5,7,8,2,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[5,3,4,1,2,7,8,6]=>[4,6,5,8,7,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[4,3,6,2,7,8,1,5]=>[5,6,3,7,2,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[4,3,6,2,7,8,5,1]=>[5,6,3,7,2,1,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[1,3,6,2,7,8,5,4]=>[8,6,3,7,2,1,4,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[1,4,6,7,2,8,5,3]=>[8,5,3,2,7,1,4,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,4,6,7,2,8,5,1]=>[6,5,3,2,7,1,4,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,4,5,7,2,1,8,6]=>[6,5,4,2,7,8,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[4,2,1,5,7,3,8,6]=>[5,7,8,4,2,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[4,2,1,6,7,8,3,5]=>[5,7,8,3,2,1,6,4]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[4,3,6,1,7,8,2,5]=>[5,6,3,8,2,1,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,5,6,7,8,2,4,3]=>[8,4,3,2,1,7,5,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[1,5,6,7,8,4,2,3]=>[8,4,3,2,1,5,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[3,4,6,7,1,8,5,2]=>[6,5,3,2,8,1,4,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,3,6,1,7,8,5,2]=>[5,6,3,8,2,1,4,7]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[4,2,1,6,7,8,5,3]=>[5,7,8,3,2,1,4,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[2,3,6,1,7,8,5,4]=>[7,6,3,8,2,1,4,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[2,4,6,7,1,8,5,3]=>[7,5,3,2,8,1,4,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[2,5,6,7,8,1,4,3]=>[7,4,3,2,1,8,5,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[2,1,4,3,6,5,8,7,9]=>[8,9,6,7,4,5,2,3,1]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>[3,2,2,2]
[2,4,1,6,3,7,5,9,8]=>[8,6,9,4,7,3,5,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[2,2,2,2,1]
[2,4,1,5,3,7,6,9,8]=>[8,6,9,5,7,3,4,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[2,2,2,2,1]
[2,3,1,5,4,7,6,9,8]=>[8,7,9,5,6,3,4,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[2,2,2,2,1]
[1,3,2,5,4,7,6,9,8]=>[9,7,8,5,6,3,4,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[2,2,2,2,1]
[2,4,1,6,3,8,5,10,7,9]=>[9,7,10,5,8,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6,9],[8,10]]=>[2,2,2,2,2]
[2,4,1,6,3,7,5,8,9]=>[8,6,9,4,7,3,5,2,1]=>[[1,3],[2,5],[4,7],[6],[8],[9]]=>[2,2,2,3]
[2,4,1,6,3,8,5,9,7,10]=>[9,7,10,5,8,3,6,2,4,1]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[2,2,2,2,2]
[2,4,1,5,3,8,6,9,7]=>[8,6,9,5,7,2,4,1,3]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[2,2,2,2,1]
[2,4,1,6,3,7,5,9,8,10]=>[9,7,10,5,8,4,6,2,3,1]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[2,2,2,2,2]
[2,3,1,6,4,7,5,9,8]=>[8,7,9,4,6,3,5,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[2,2,2,2,1]
[2,4,1,5,3,7,6,9,8,10]=>[9,7,10,6,8,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[2,2,2,2,2]
[1,4,2,5,3,7,6,9,8]=>[9,6,8,5,7,3,4,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[2,2,2,2,1]
[2,3,1,5,4,7,6,9,8,10]=>[9,8,10,6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[2,2,2,2,2]
[1,3,2,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[2,2,2,2,2]
[7,1,2,3,4,5,6,8,9]=>[3,9,8,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9]
[1,4,3,6,2,5,7,8]=>[8,5,6,3,7,4,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,4,3,7,2,5,6,8]=>[8,5,6,2,7,4,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,4,3,7,6,8,2,5]=>[8,5,6,2,3,1,7,4]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[1,4,3,7,5,8,2,6]=>[8,5,6,2,4,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,4,3,7,2,6,5,8]=>[8,5,6,2,7,3,4,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,5,3,7,4,8,2,6]=>[8,4,6,2,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,3,2,6,5,8,4,7]=>[8,6,7,3,4,1,5,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,5,4,8,2,6,3,7]=>[8,4,5,1,7,3,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,5,4,8,3,7,2,6]=>[8,4,5,1,6,2,7,3]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[1,2,3,6,5,8,4,7]=>[8,7,6,3,4,1,5,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[6,8,2,4,5,7,1,3]=>[3,1,7,5,4,2,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[3,7,8,4,5,2,6,1]=>[6,2,1,5,4,7,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,8,1,4,5,3,6,2]=>[2,1,8,5,4,6,3,7]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[3,8,7,4,1,6,5,2]=>[6,1,2,5,8,3,4,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[4,8,3,6,1,5,7,2]=>[5,1,6,3,8,4,2,7]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[5,8,3,1,6,4,7,2]=>[4,1,6,8,3,5,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[5,8,1,4,7,6,3,2]=>[4,1,8,5,2,3,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,5,1,8,6,2,4,3]=>[2,4,8,1,3,7,5,6]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[7,4,1,8,2,6,3,5]=>[2,5,8,1,7,3,6,4]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[7,1,8,4,2,6,3,5]=>[2,8,1,5,7,3,6,4]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[6,1,3,8,5,2,4,7]=>[3,8,6,1,4,7,5,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[7,3,1,8,4,2,6,5]=>[2,6,8,1,5,7,3,4]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[7,2,8,4,1,6,5,3]=>[2,7,1,5,8,3,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,2,8,3,6,5,1,4]=>[2,7,1,6,3,4,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[7,1,8,2,3,6,5,4]=>[2,8,1,7,6,3,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[6,1,2,8,3,5,4,7]=>[3,8,7,1,6,4,5,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[1,5,2,3,8,4,7,6]=>[8,4,7,6,1,5,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[5,1,2,3,8,4,7,6]=>[4,8,7,6,1,5,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,2,8,1,3,5,4,7]=>[3,7,1,8,6,4,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[6,2,4,1,8,7,3,5]=>[3,7,5,8,1,2,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[6,3,1,4,2,8,5,7]=>[3,6,8,5,7,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[3,1,6,4,2,8,5,7]=>[6,8,3,5,7,1,4,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,6,3,8,7,1,5,4]=>[7,3,6,1,2,8,4,5]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[2,5,1,8,3,4,7,6]=>[7,4,8,1,6,5,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,5,1,3,8,4,7,6]=>[7,4,8,6,1,5,2,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[1,2,5,3,8,4,7,6]=>[8,7,4,6,1,5,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,2,4,8,3,7,6,5]=>[8,7,5,1,6,2,3,4]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,4,8,1,3,7,6,5]=>[7,5,1,8,6,2,3,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[2,4,8,3,7,6,1,5]=>[7,5,1,6,2,3,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,5,4,1,3,8,7,6]=>[7,4,5,8,6,1,2,3]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[3,1,5,4,8,2,7,6]=>[6,8,4,5,1,7,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[5,2,3,8,4,7,1,6]=>[4,7,6,1,5,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[4,8,1,2,3,7,6,5]=>[5,1,8,7,6,2,3,4]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,3,8,1,2,4,7,6]=>[4,6,1,8,7,5,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[5,1,3,8,2,4,7,6]=>[4,8,6,1,7,5,2,3]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[1,5,4,8,2,7,6,3]=>[8,4,5,1,7,2,3,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,4,8,1,2,7,6,3]=>[4,5,1,8,7,2,3,6]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,5,1,2,8,7,4,3]=>[3,4,8,7,1,2,5,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,3,1,6,4,2,8,7]=>[4,6,8,3,5,7,1,2]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[5,1,6,2,8,7,4,3]=>[4,8,3,7,1,2,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[4,1,2,5,8,7,6,3]=>[5,8,7,4,1,2,3,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,4,2,5,8,7,6,3]=>[8,5,7,4,1,2,3,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,5,1,2,8,7,4,6]=>[6,4,8,7,1,2,5,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[3,6,2,8,7,5,1,4]=>[6,3,7,1,2,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,2,6,1,8,7,3,5]=>[5,7,3,8,1,2,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[4,3,1,5,8,2,7,6]=>[5,6,8,4,1,7,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[3,4,8,7,2,6,1,5]=>[6,5,1,2,7,3,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[3,4,8,7,1,2,6,5]=>[6,5,1,2,8,7,3,4]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[3,4,8,1,7,2,6,5]=>[6,5,1,8,2,7,3,4]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[3,4,8,1,2,7,6,5]=>[6,5,1,8,7,2,3,4]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[3,4,8,2,7,1,6,5]=>[6,5,1,7,2,8,3,4]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,4,8,2,7,6,1,5]=>[6,5,1,7,2,3,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[4,3,1,2,5,8,7,6]=>[5,6,8,7,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[3,1,4,2,5,8,7,6]=>[6,8,5,7,4,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[6,4,1,2,7,3,5,8]=>[3,5,8,7,2,6,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[2,3,7,5,4,1,8,6]=>[7,6,2,4,5,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[6,3,1,5,4,2,7,8]=>[3,6,8,4,5,7,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,8,1,5,4,2,6,3]=>[2,1,8,4,5,7,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,8,3,5,4,1,6,2]=>[2,1,6,4,5,8,3,7]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,8,2,5,4,1,3,6]=>[2,1,7,4,5,8,6,3]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,8,2,5,4,6,1,3]=>[2,1,7,4,5,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,2,1,5,4,7,3,8]=>[3,7,8,4,5,2,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,3,6,1,4,7,8,2]=>[4,6,3,8,5,2,1,7]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[5,3,6,2,4,7,1,8]=>[4,6,3,7,5,2,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,4,2,1,7,3,8,5]=>[3,5,7,8,2,6,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[4,2,7,1,8,3,6,5]=>[5,7,2,8,1,6,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[3,2,6,7,4,8,1,5]=>[6,7,3,2,5,1,8,4]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[3,1,6,7,4,8,5,2]=>[6,8,3,2,5,1,4,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[2,7,6,5,3,1,4,8]=>[7,2,3,4,6,8,5,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[2,7,1,4,8,3,5,6]=>[7,2,8,5,1,6,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[3,7,6,4,8,5,1,2]=>[6,2,3,5,1,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[5,1,6,2,4,8,3,7]=>[4,8,3,7,5,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,7,6,5,2,8,1,3]=>[5,2,3,4,7,1,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[4,7,6,5,1,8,3,2]=>[5,2,3,4,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[1,7,6,5,3,2,8,4]=>[8,2,3,4,6,7,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[4,7,6,5,1,2,8,3]=>[5,2,3,4,8,7,1,6]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[4,7,6,5,3,1,8,2]=>[5,2,3,4,6,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[5,1,6,2,4,7,8,3]=>[4,8,3,7,5,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[1,2,6,3,4,8,7,5]=>[8,7,3,6,5,1,2,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[6,1,4,2,8,3,5,7]=>[3,8,5,7,1,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[4,1,8,2,6,3,5,7]=>[5,8,1,7,3,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[4,7,2,1,5,3,6,8]=>[5,2,7,8,4,6,3,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[4,7,1,6,2,3,8,5]=>[5,2,8,3,7,6,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[1,7,2,6,8,3,5,4]=>[8,2,7,3,1,6,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[3,2,8,5,4,6,1,7]=>[6,7,1,4,5,3,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[4,7,6,3,5,8,1,2]=>[5,2,3,6,4,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[4,7,1,2,5,3,8,6]=>[5,2,8,7,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[3,7,6,5,1,4,8,2]=>[6,2,3,4,8,5,1,7]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[3,7,6,5,2,1,8,4]=>[6,2,3,4,7,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[3,7,6,5,8,1,4,2]=>[6,2,3,4,1,8,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[4,7,6,8,3,5,1,2]=>[5,2,3,1,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,7,6,5,1,4,3,8]=>[7,2,3,4,8,5,6,1]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,7,6,5,8,1,3,4]=>[7,2,3,4,1,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[2,7,6,5,8,4,1,3]=>[7,2,3,4,1,5,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[4,2,1,7,3,5,8,6]=>[5,7,8,2,6,4,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,3,1,5,4,2,8,6]=>[2,6,8,4,5,7,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[8,4,1,5,2,7,6,3]=>[1,5,8,4,7,2,3,6]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[8,2,5,1,3,7,6,4]=>[1,7,4,8,6,2,3,5]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[4,3,7,2,1,5,8,6]=>[5,6,2,7,8,4,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[6,3,7,4,2,1,8,5]=>[3,6,2,5,7,8,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[4,7,2,5,3,1,8,6]=>[5,2,7,4,6,8,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[7,5,4,3,2,1,8,6]=>[2,4,5,6,7,8,1,3]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[8,5,3,2,1,7,6,4]=>[1,4,6,7,8,2,3,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[4,6,3,2,8,1,5,7]=>[5,3,6,7,1,8,4,2]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[5,7,4,3,2,8,1,6]=>[4,2,5,6,7,1,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[6,2,7,5,3,8,1,4]=>[3,7,2,4,6,1,8,5]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[7,1,8,5,3,6,4,2]=>[2,8,1,4,6,3,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[1,8,6,2,3,7,5,4]=>[8,1,3,7,6,2,4,5]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,8,6,3,2,7,5,4]=>[8,1,3,6,7,2,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[8,7,3,1,6,5,4,2]=>[1,2,6,8,3,4,5,7]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[8,7,2,6,1,5,4,3]=>[1,2,7,3,8,4,5,6]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[1,8,5,7,2,4,6,3]=>[8,1,4,2,7,5,3,6]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[3,8,6,1,7,2,5,4]=>[6,1,3,8,2,7,4,5]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[5,8,4,6,7,1,3,2]=>[4,1,5,3,2,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,2,8,5,6,1,4,3]=>[2,7,1,4,3,8,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[6,5,4,8,3,2,1,7]=>[3,4,5,1,6,7,8,2]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[8,4,3,7,2,1,6,5]=>[1,5,6,2,7,8,3,4]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[8,2,4,7,1,3,6,5]=>[1,7,5,2,8,6,3,4]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[6,3,5,1,8,4,2,7]=>[3,6,4,8,1,5,7,2]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[8,4,1,5,7,3,6,2]=>[1,5,8,4,2,6,3,7]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[6,4,2,5,8,3,1,7]=>[3,5,7,4,1,6,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,4,1,6,8,2,3,7]=>[4,5,8,3,1,7,6,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[6,5,2,1,7,8,3,4]=>[3,4,7,8,2,1,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[4,7,2,5,8,6,3,1]=>[5,2,7,4,1,3,6,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[6,3,1,8,4,7,5,2]=>[3,6,8,1,5,2,4,7]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,4,2,8,7,3,5,1]=>[3,5,7,1,2,6,4,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[6,5,3,8,7,4,1,2]=>[3,4,6,1,2,5,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[8,5,3,7,6,4,2,1]=>[1,4,6,2,3,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[5,4,8,1,7,6,2,3]=>[4,5,1,8,2,3,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[5,2,8,1,7,3,6,4]=>[4,7,1,8,2,6,3,5]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,4,8,2,1,7,5,3]=>[3,5,1,7,8,2,4,6]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[5,7,3,8,1,6,4,2]=>[4,2,6,1,8,3,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,5,8,7,1,3,6,4]=>[7,4,1,2,8,6,3,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[5,3,8,7,2,1,6,4]=>[4,6,1,2,7,8,3,5]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[8,3,7,6,1,5,4,2]=>[1,6,2,3,8,4,5,7]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[8,2,7,6,5,1,4,3]=>[1,7,2,3,4,8,5,6]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[4,3,8,7,6,2,1,5]=>[5,6,1,2,3,7,8,4]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[2,4,8,7,6,1,3,5]=>[7,5,1,2,3,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[4,7,3,8,6,5,1,2]=>[5,2,6,1,3,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[7,5,8,6,4,3,2,1]=>[2,4,1,3,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,8,7,6,5,1,4,2]=>[6,1,2,3,4,8,5,7]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,8,7,6,5,4,1,3]=>[7,1,2,3,4,5,8,6]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[3,2,1,4,5,6,7,8,9]=>[7,8,9,6,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9]
[4,3,2,1,5,6,7,8,9]=>[6,7,8,9,5,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9]
[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[9]
[6,5,4,3,2,1,7,8,9]=>[4,5,6,7,8,9,3,2,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9]
[7,6,5,4,3,2,1,8,9]=>[3,4,5,6,7,8,9,2,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[3,2,1,4,5,6,7,8,9,10]=>[8,9,10,7,6,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[4,3,2,1,5,6,7,8,9,10]=>[7,8,9,10,6,5,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10]
[5,4,3,2,1,6,7,8,9,10]=>[6,7,8,9,10,5,4,3,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10]
[6,5,4,3,2,1,7,8,9,10]=>[5,6,7,8,9,10,4,3,2,1]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10]
[7,6,5,4,3,2,1,8,9,10]=>[4,5,6,7,8,9,10,3,2,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10]
[8,7,6,5,4,3,2,1,9,10]=>[3,4,5,6,7,8,9,10,2,1]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[3,6,5,1,2,4,8,7]=>[6,3,4,8,7,5,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[3,7,5,8,2,4,1,6]=>[6,2,4,1,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[3,8,5,7,2,4,1,6]=>[6,1,4,2,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[5,1,7,8,4,3,2,6]=>[4,8,2,1,5,6,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[5,1,2,6,4,3,8,7]=>[4,8,7,3,5,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[6,1,2,5,4,3,8,7]=>[3,8,7,4,5,6,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[5,1,2,4,6,3,8,7]=>[4,8,7,5,3,6,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[4,1,2,6,5,3,8,7]=>[5,8,7,3,4,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[4,1,5,7,8,3,2,6]=>[5,8,4,2,1,6,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[4,1,5,8,7,3,2,6]=>[5,8,4,1,2,6,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[4,7,1,8,3,6,2,5]=>[5,2,8,1,6,3,7,4]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[4,1,7,8,5,2,3,6]=>[5,8,2,1,4,7,6,3]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[5,1,7,4,8,2,3,6]=>[4,8,2,5,1,7,6,3]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[7,5,3,8,1,4,2,6]=>[2,4,6,1,8,5,7,3]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[2,1,5,8,7,3,4,6]=>[7,8,4,1,2,6,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[5,1,8,4,7,2,3,6]=>[4,8,1,5,2,7,6,3]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[4,1,8,7,5,2,3,6]=>[5,8,1,2,4,7,6,3]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,7,1,6,3,2,8,5]=>[5,2,8,3,6,7,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[6,1,2,3,7,5,8,4]=>[3,8,7,6,2,4,1,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[7,1,2,3,8,6,5,4]=>[2,8,7,6,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[7,1,2,3,5,8,6,4]=>[2,8,7,6,4,1,3,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[6,8,1,4,3,7,2,5]=>[3,1,8,5,6,2,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[8,7,3,2,4,1,6,5]=>[1,2,6,7,5,8,3,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[2,1,7,3,4,8,6,5]=>[7,8,2,6,5,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[7,8,3,2,4,1,6,5]=>[2,1,6,7,5,8,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[6,7,1,4,3,8,2,5]=>[3,2,8,5,6,1,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[8,1,2,3,5,7,6,4]=>[1,8,7,6,4,2,3,5]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[8,1,2,3,6,7,5,4]=>[1,8,7,6,3,2,4,5]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[7,1,2,3,6,8,5,4]=>[2,8,7,6,3,1,4,5]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[7,1,2,3,8,5,6,4]=>[2,8,7,6,1,4,3,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[8,1,2,3,7,5,6,4]=>[1,8,7,6,2,4,3,5]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[8,1,2,3,6,5,7,4]=>[1,8,7,6,3,4,2,5]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[7,1,8,5,4,3,2,6]=>[2,8,1,4,5,6,7,3]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[7,8,2,6,3,4,1,5]=>[2,1,7,3,6,5,8,4]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,8,2,7,3,4,1,5]=>[3,1,7,2,6,5,8,4]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,7,2,8,3,4,1,5]=>[3,2,7,1,6,5,8,4]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,8,7,1,4,2,6,5]=>[6,1,2,8,5,7,3,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[3,7,8,1,4,2,6,5]=>[6,2,1,8,5,7,3,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[3,6,8,1,4,2,7,5]=>[6,3,1,8,5,7,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[3,5,7,8,2,4,1,6]=>[6,4,2,1,7,5,8,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[3,6,7,1,4,2,8,5]=>[6,3,2,8,5,7,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[7,6,2,8,3,1,4,5]=>[2,3,7,1,6,8,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,6,2,7,3,1,4,5]=>[1,3,7,2,6,8,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,1,7,5,4,3,2,6]=>[1,8,2,4,5,6,7,3]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[8,1,7,4,5,3,2,6]=>[1,8,2,5,4,6,7,3]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[5,8,3,7,1,4,2,6]=>[4,1,6,2,8,5,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,1,7,3,4,6,8,5]=>[7,8,2,6,5,3,1,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[6,7,3,2,4,1,8,5]=>[3,2,6,7,5,8,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[8,7,2,4,3,6,1,5]=>[1,2,7,5,6,3,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[7,1,2,3,5,6,8,4]=>[2,8,7,6,4,3,1,5]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[6,1,2,3,8,7,4,5]=>[3,8,7,6,1,2,5,4]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[5,1,2,3,7,8,6,4]=>[4,8,7,6,2,1,3,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[5,1,2,3,8,7,6,4]=>[4,8,7,6,1,2,3,5]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,1,2,3,8,6,7,4]=>[4,8,7,6,1,3,2,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,1,2,3,5,8,7,4]=>[3,8,7,6,4,1,2,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[8,6,2,4,3,1,7,5]=>[1,3,7,5,6,8,2,4]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[7,6,3,2,4,8,1,5]=>[2,3,6,7,5,1,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[2,1,6,3,4,8,7,5]=>[7,8,3,6,5,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[8,6,3,2,4,7,1,5]=>[1,3,6,7,5,2,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,6,2,4,3,1,8,5]=>[2,3,7,5,6,8,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[6,1,2,3,5,7,8,4]=>[3,8,7,6,4,2,1,5]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[5,1,2,3,6,8,7,4]=>[4,8,7,6,3,1,2,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[7,8,1,2,6,3,5,4]=>[2,1,8,7,3,6,4,5]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[1,3,8,5,4,2,7,6]=>[8,6,1,4,5,7,2,3]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,3,6,8,4,7,5,2]=>[8,6,3,1,5,2,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[3,4,8,5,7,6,1,2]=>[6,5,1,4,2,3,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[1,2,6,8,4,5,7,3]=>[8,7,3,1,5,4,2,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[7,5,1,2,4,3,6,8]=>[2,4,8,7,5,6,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[7,4,6,1,5,2,3,8]=>[2,5,3,8,4,7,6,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,1,4,2,6,3,5,8]=>[2,8,5,7,3,6,4,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[6,8,1,4,7,2,3,5]=>[3,1,8,5,2,7,6,4]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[6,8,1,7,3,5,4,2]=>[3,1,8,2,6,4,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[7,1,3,6,5,4,2,8]=>[2,8,6,3,4,5,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[7,1,2,3,6,5,4,8]=>[2,8,7,6,3,4,5,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[1,6,2,3,8,5,4,7]=>[8,3,7,6,1,4,5,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[1,5,8,2,7,6,3,4]=>[8,4,1,7,2,3,6,5]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[6,8,2,1,7,4,3,5]=>[3,1,7,8,2,5,6,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[2,5,3,8,7,4,6,1]=>[7,4,6,1,2,5,3,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,4,8,7,6,5,1,3]=>[7,5,1,2,3,4,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[2,5,8,4,1,7,6,3]=>[7,4,1,5,8,2,3,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[4,2,8,7,6,5,3,1]=>[5,7,1,2,3,4,6,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[4,1,8,7,6,5,3,2]=>[5,8,1,2,3,4,6,7]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[4,3,8,7,6,5,1,2]=>[5,6,1,2,3,4,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[5,8,3,7,6,1,4,2]=>[4,1,6,2,3,8,5,7]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[1,5,8,4,7,2,6,3]=>[8,4,1,5,2,7,3,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,1,8,4,7,2,6,3]=>[4,8,1,5,2,7,3,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,8,7,4,6,1,2,3]=>[4,1,2,5,3,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[5,6,3,1,2,4,8,7]=>[4,3,6,8,7,5,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[5,6,2,4,3,1,8,7]=>[4,3,7,5,6,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[5,6,1,2,4,3,8,7]=>[4,3,8,7,5,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,5,8,1,7,2,3,6]=>[5,4,1,8,2,7,6,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,5,1,8,7,4,6,2]=>[6,4,8,1,2,5,3,7]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[3,5,1,8,7,2,6,4]=>[6,4,8,1,2,7,3,5]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[4,5,8,3,1,7,2,6]=>[5,4,1,6,8,2,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[4,5,2,8,7,1,3,6]=>[5,4,7,1,2,8,6,3]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[3,2,5,8,7,1,6,4]=>[6,7,4,1,2,8,3,5]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[3,4,8,7,6,2,1,5]=>[6,5,1,2,3,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[3,1,4,8,7,6,2,5]=>[6,8,5,1,2,3,7,4]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[3,4,8,7,6,5,1,2]=>[6,5,1,2,3,4,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[3,2,5,8,7,4,6,1]=>[6,7,4,1,2,5,3,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,5,8,3,1,7,6,2]=>[5,4,1,6,8,2,3,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[1,2,7,5,8,6,4,3]=>[8,7,2,4,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[7,1,4,8,2,6,5,3]=>[2,8,5,1,7,3,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[6,8,1,3,7,5,2,4]=>[3,1,8,6,2,4,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[3,7,8,1,2,6,5,4]=>[6,2,1,8,7,3,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[1,3,7,8,2,6,5,4]=>[8,6,2,1,7,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,3,7,8,1,6,5,4]=>[7,6,2,1,8,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,7,8,1,3,6,5,4]=>[7,2,1,8,6,3,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[8,1,2,6,7,3,5,4]=>[1,8,7,3,2,6,4,5]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[8,1,2,6,7,5,3,4]=>[1,8,7,3,2,4,6,5]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,2,5,7,1,3,6,4]=>[1,7,4,2,8,6,3,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[2,8,1,6,7,3,5,4]=>[7,1,8,3,2,6,4,5]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[2,6,8,3,7,1,5,4]=>[7,3,1,6,2,8,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[2,8,6,4,7,1,5,3]=>[7,1,3,5,2,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[6,8,3,4,1,7,5,2]=>[3,1,6,5,8,2,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[6,8,3,7,4,1,5,2]=>[3,1,6,2,5,8,4,7]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[2,6,8,3,7,5,1,4]=>[7,3,1,6,2,4,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,8,1,6,7,5,3,4]=>[7,1,8,3,2,4,6,5]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[8,2,5,7,1,6,3,4]=>[1,7,4,2,8,3,6,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[8,4,7,2,3,6,1,5]=>[1,5,2,7,6,3,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,5,7,4,2,6,1,3]=>[1,4,2,5,7,3,8,6]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[8,3,5,7,4,1,6,2]=>[1,6,4,2,5,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,5,2,4,7,1,6,3]=>[1,4,7,5,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,2,3,5,7,1,6,4]=>[1,7,6,4,2,8,3,5]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[8,2,4,7,3,6,1,5]=>[1,7,5,2,6,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,2,7,1,4,6,3,5]=>[1,7,2,8,5,3,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,7,1,2,4,6,3,5]=>[1,2,8,7,5,3,6,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,7,1,4,6,2,3,5]=>[1,2,8,5,3,7,6,4]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,4,7,1,3,6,2,5]=>[1,5,2,8,6,3,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[1,6,8,3,7,2,5,4]=>[8,3,1,6,2,7,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[8,3,5,7,1,2,6,4]=>[1,6,4,2,8,7,3,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[5,8,7,1,3,6,2,4]=>[4,1,2,8,6,3,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,5,4,7,1,6,2,3]=>[1,4,5,2,8,3,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[8,5,1,4,7,2,6,3]=>[1,4,8,5,2,7,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[1,4,6,8,2,7,5,3]=>[8,5,3,1,7,2,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[1,6,5,8,2,7,4,3]=>[8,3,4,1,7,2,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[8,5,6,3,1,7,4,2]=>[1,4,3,6,8,2,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[5,6,2,8,1,7,4,3]=>[4,3,7,1,8,2,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,8,4,5,7,2,6,3]=>[8,1,5,4,2,7,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[5,8,7,3,6,1,2,4]=>[4,1,2,6,3,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,3,5,7,1,6,2,4]=>[1,6,4,2,8,3,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[1,6,8,3,7,5,2,4]=>[8,3,1,6,2,4,7,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[6,3,8,2,7,5,1,4]=>[3,6,1,7,2,4,8,5]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[6,8,4,2,7,1,5,3]=>[3,1,5,7,2,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[8,6,4,7,3,1,5,2]=>[1,3,5,2,6,8,4,7]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[8,4,5,7,3,1,6,2]=>[1,5,4,2,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,4,2,5,7,1,6,3]=>[1,5,7,4,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,3,4,7,2,6,1,5]=>[1,6,5,2,7,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,7,1,3,4,6,2,5]=>[1,2,8,6,5,3,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,3,7,2,4,6,1,5]=>[1,6,2,7,5,3,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[2,8,4,5,7,1,6,3]=>[7,1,5,4,2,8,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[8,7,3,4,5,1,6,2]=>[1,2,6,5,4,8,3,7]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,7,4,5,2,6,1,3]=>[1,2,5,4,7,3,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[5,8,7,2,3,6,1,4]=>[4,1,2,7,6,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,7,2,3,4,6,1,5]=>[1,2,7,6,5,3,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,7,2,3,6,1,4,5]=>[1,2,7,6,3,8,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,3,2,8,5,4,7,6]=>[8,6,7,1,4,5,2,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[4,2,8,5,3,7,1,6]=>[5,7,1,4,6,2,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[5,2,1,8,4,3,7,6]=>[4,7,8,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[7,3,4,8,2,1,6,5]=>[2,6,5,1,7,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[6,3,4,8,2,7,5,1]=>[3,6,5,1,7,2,4,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[5,3,4,1,8,2,7,6]=>[4,6,5,8,1,7,2,3]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[8,1,5,4,3,2,7,6]=>[1,8,4,5,6,7,2,3]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[3,5,4,2,8,1,7,6]=>[6,4,5,7,1,8,2,3]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[4,5,3,2,8,7,1,6]=>[5,4,6,7,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[6,4,3,2,8,7,5,1]=>[3,5,6,7,1,2,4,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[6,5,3,2,1,7,8,4]=>[3,4,6,7,8,2,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[5,6,3,2,7,8,4,1]=>[4,3,6,7,2,1,5,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[4,1,6,3,2,7,8,5]=>[5,8,3,6,7,2,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,6,4,2,7,8,1,5]=>[6,3,5,7,2,1,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[8,1,6,4,3,7,2,5]=>[1,8,3,5,6,2,7,4]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[8,1,7,4,3,6,5,2]=>[1,8,2,5,6,3,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[5,7,3,2,6,4,8,1]=>[4,2,6,7,3,5,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[4,7,5,6,2,3,8,1]=>[5,2,4,3,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[3,1,7,5,6,2,4,8]=>[6,8,2,4,3,7,5,1]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[4,6,5,7,2,8,1,3]=>[5,3,4,2,7,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,6,4,7,2,8,3,1]=>[4,3,5,2,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,5,4,1,7,2,8,3]=>[3,4,5,8,2,7,1,6]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[6,4,5,7,1,8,2,3]=>[3,5,4,2,8,1,7,6]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[5,4,6,1,7,8,2,3]=>[4,5,3,8,2,1,7,6]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[8,1,5,6,7,2,3,4]=>[1,8,4,3,2,7,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,3,1,6,8,7,2,5]=>[5,6,8,3,1,2,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[5,3,6,8,7,2,4,1]=>[4,6,3,1,2,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[7,3,5,8,6,2,1,4]=>[2,6,4,1,3,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[7,2,8,5,6,3,1,4]=>[2,7,1,4,3,6,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,2,1,8,6,7,3,5]=>[5,7,8,1,3,2,6,4]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[1,3,2,8,6,7,4,5]=>[8,6,7,1,3,2,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[4,2,8,7,6,1,5,3]=>[5,7,1,2,3,8,4,6]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[5,2,8,7,6,4,1,3]=>[4,7,1,2,3,5,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[7,2,1,8,6,5,4,3]=>[2,7,8,1,3,4,5,6]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[7,3,6,1,8,5,4,2]=>[2,6,3,8,1,4,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[5,3,7,8,6,4,1,2]=>[4,6,2,1,3,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,4,7,8,6,1,5,2]=>[6,5,2,1,3,8,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[8,1,5,7,6,2,4,3]=>[1,8,4,2,3,7,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[4,5,7,6,8,3,1,2]=>[5,4,2,3,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,4,1,7,6,8,3,2]=>[4,5,8,2,3,1,6,7]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,4,7,5,8,3,2,1]=>[3,5,2,4,1,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[7,5,6,4,3,1,8,2]=>[2,4,3,5,6,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[6,5,1,7,4,3,8,2]=>[3,4,8,2,5,6,1,7]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[4,6,7,5,3,8,1,2]=>[5,3,2,4,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,6,7,5,1,4,8,2]=>[6,3,2,4,8,5,1,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[8,1,6,7,5,4,2,3]=>[1,8,3,2,4,5,7,6]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,1,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[2,7,6,1,5,4,3,8]=>[7,2,3,8,4,5,6,1]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[8,6,4,3,1,5,7,2]=>[1,3,5,6,8,4,2,7]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,6,4,1,5,2,7,3]=>[1,3,5,8,4,7,2,6]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[8,6,3,1,7,2,4,5]=>[1,3,6,8,2,7,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,3,1,7,2,4,6,8]=>[4,6,8,2,7,5,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,7,1,2,4,5,3,6]=>[1,2,8,7,5,4,6,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[8,5,1,3,6,4,7,2]=>[1,4,8,6,3,5,2,7]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[8,6,1,5,2,4,7,3]=>[1,3,8,4,7,5,2,6]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[8,6,1,2,5,7,3,4]=>[1,3,8,7,4,2,6,5]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,6,1,2,7,4,3,5]=>[1,3,8,7,2,5,6,4]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,7,1,2,5,4,3,6]=>[1,2,8,7,4,5,6,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[5,1,4,2,7,3,6,8]=>[4,8,5,7,2,6,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[5,7,8,1,3,4,6,2]=>[4,2,1,8,6,5,3,7]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[5,8,1,7,3,4,6,2]=>[4,1,8,2,6,5,3,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[8,1,5,7,2,4,6,3]=>[1,8,4,2,7,5,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[8,4,1,2,7,6,3,5]=>[1,5,8,7,2,3,6,4]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[1,4,2,3,8,7,5,6]=>[8,5,7,6,1,2,4,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[1,4,2,7,6,3,5,8]=>[8,5,7,2,3,6,4,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[6,1,2,8,7,5,3,4]=>[3,8,7,1,2,4,6,5]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[6,1,2,4,8,7,5,3]=>[3,8,7,5,1,2,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,1,8,4,6,7,5,2]=>[6,8,1,5,3,2,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[7,1,2,4,6,8,5,3]=>[2,8,7,5,3,1,4,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[7,1,2,6,8,5,3,4]=>[2,8,7,3,1,4,6,5]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,1,2,7,8,5,3,4]=>[3,8,7,2,1,4,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[6,1,2,7,4,8,5,3]=>[3,8,7,2,5,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[5,7,1,3,8,4,6,2]=>[4,2,8,6,1,5,3,7]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[5,7,1,8,4,2,6,3]=>[4,2,8,1,5,7,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[7,1,5,3,2,8,6,4]=>[2,8,4,6,7,1,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,1,4,5,2,8,6,3]=>[2,8,5,4,7,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[4,7,3,1,5,8,6,2]=>[5,2,6,8,4,1,3,7]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[4,8,7,3,1,5,6,2]=>[5,1,2,6,8,4,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[8,1,7,4,5,2,6,3]=>[1,8,2,5,4,7,3,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,1,7,5,3,2,6,4]=>[1,8,2,4,6,7,3,5]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[8,3,7,1,2,6,4,5]=>[1,6,2,8,7,3,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[3,1,2,8,6,4,5,7]=>[6,8,7,1,3,5,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[3,1,7,2,6,4,5,8]=>[6,8,2,7,3,5,4,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[5,8,1,7,2,4,6,3]=>[4,1,8,2,7,5,3,6]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[8,1,2,6,7,4,5,3]=>[1,8,7,3,2,5,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[1,2,3,5,8,4,7,6]=>[8,7,6,4,1,5,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,1,2,8,3,6,5,4]=>[2,8,7,1,6,3,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[3,1,7,8,4,6,5,2]=>[6,8,2,1,5,3,4,7]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[8,1,2,7,4,6,5,3]=>[1,8,7,2,5,3,4,6]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[8,1,2,7,3,6,5,4]=>[1,8,7,2,6,3,4,5]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[1,2,3,5,8,7,4,6]=>[8,7,6,4,1,2,5,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[7,8,5,6,3,1,4,2]=>[2,1,4,3,6,8,5,7]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[7,5,6,3,1,4,2,8]=>[2,4,3,6,8,5,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,5,8,3,1,4,2,6]=>[2,4,1,6,8,5,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,8,5,3,1,4,2,6]=>[2,1,4,6,8,5,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,8,5,3,1,6,2,4]=>[2,1,4,6,8,3,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,8,5,3,1,6,4,2]=>[2,1,4,6,8,3,5,7]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[7,8,5,3,6,1,4,2]=>[2,1,4,6,3,8,5,7]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[7,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[7,8,5,3,4,1,6,2]=>[2,1,4,6,5,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[7,8,5,3,1,4,6,2]=>[2,1,4,6,8,5,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[7,8,5,3,1,2,6,4]=>[2,1,4,6,8,7,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[7,5,8,3,4,1,6,2]=>[2,4,1,6,5,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,5,6,3,4,1,8,2]=>[2,4,3,6,5,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,5,6,3,1,4,8,2]=>[2,4,3,6,8,5,1,7]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,5,6,3,1,2,8,4]=>[2,4,3,6,8,7,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[7,5,3,6,1,2,8,4]=>[2,4,6,3,8,7,1,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,5,3,4,1,2,8,6]=>[2,4,6,5,8,7,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,5,3,1,4,2,6,8]=>[2,4,6,8,5,7,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,5,3,1,4,2,8,6]=>[2,4,6,8,5,7,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,5,3,1,6,2,8,4]=>[2,4,6,8,3,7,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,5,3,1,6,4,8,2]=>[2,4,6,8,3,5,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[7,5,3,6,1,4,8,2]=>[2,4,6,3,8,5,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,5,3,6,4,1,8,2]=>[2,4,6,3,5,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,5,3,8,4,6,1,2]=>[2,4,6,1,5,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[7,5,3,8,1,4,6,2]=>[2,4,6,1,8,5,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,5,3,1,8,4,6,2]=>[2,4,6,8,1,5,3,7]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[7,5,3,1,8,2,6,4]=>[2,4,6,8,1,7,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[7,5,3,1,8,2,4,6]=>[2,4,6,8,1,7,5,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,5,3,1,6,2,4,8]=>[2,4,6,8,3,7,5,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,5,3,1,6,4,2,8]=>[2,4,6,8,3,5,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[7,5,3,1,8,4,2,6]=>[2,4,6,8,1,5,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[7,5,3,1,8,6,2,4]=>[2,4,6,8,1,3,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[7,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,7]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[7,5,3,8,6,1,4,2]=>[2,4,6,1,3,8,5,7]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[7,5,3,8,6,4,1,2]=>[2,4,6,1,3,5,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[7,5,8,3,6,4,1,2]=>[2,4,1,6,3,5,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[7,5,8,3,1,6,4,2]=>[2,4,1,6,8,3,5,7]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[7,5,8,3,1,6,2,4]=>[2,4,1,6,8,3,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,5,3,6,1,4,2,8]=>[2,4,6,3,8,5,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[7,5,3,6,4,1,2,8]=>[2,4,6,3,5,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,5,3,8,4,1,2,6]=>[2,4,6,1,5,8,7,3]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,5,8,6,3,1,2,4]=>[2,4,1,3,6,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[7,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,7]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[7,5,8,6,3,4,1,2]=>[2,4,1,3,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[7,5,6,8,3,1,4,2]=>[2,4,3,1,6,8,5,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[7,5,6,3,8,1,2,4]=>[2,4,3,6,1,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[7,5,3,4,1,6,2,8]=>[2,4,6,5,8,3,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,5,3,4,1,8,2,6]=>[2,4,6,5,8,1,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,5,6,3,1,8,2,4]=>[2,4,3,6,8,1,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[7,5,6,3,1,8,4,2]=>[2,4,3,6,8,1,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,5,6,3,8,4,1,2]=>[2,4,3,6,1,5,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[7,5,3,6,8,1,4,2]=>[2,4,6,3,1,8,5,7]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,5,3,6,1,8,4,2]=>[2,4,6,3,8,1,5,7]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[7,5,3,1,6,8,4,2]=>[2,4,6,8,3,1,5,7]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,5,3,1,6,8,2,4]=>[2,4,6,8,3,1,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[7,5,3,1,4,8,2,6]=>[2,4,6,8,5,1,7,3]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[7,5,3,1,4,6,2,8]=>[2,4,6,8,5,3,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,5,3,1,2,6,4,8]=>[2,4,6,8,7,3,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,5,3,1,2,8,4,6]=>[2,4,6,8,7,1,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,5,3,1,2,8,6,4]=>[2,4,6,8,7,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,5,3,1,4,8,6,2]=>[2,4,6,8,5,1,3,7]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,5,3,4,1,8,6,2]=>[2,4,6,5,8,1,3,7]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[7,5,3,4,8,1,6,2]=>[2,4,6,5,1,8,3,7]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,5,3,4,6,1,8,2]=>[2,4,6,5,3,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,5,3,4,1,6,8,2]=>[2,4,6,5,8,3,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,5,3,1,4,6,8,2]=>[2,4,6,8,5,3,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,5,3,1,2,6,8,4]=>[2,4,6,8,7,3,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,5,3,1,2,4,8,6]=>[2,4,6,8,7,5,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[3,6,2,5,4,1,8,7]=>[6,3,7,4,5,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,5,2,8,4,7,6,1]=>[6,4,7,1,5,2,3,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[5,4,7,3,2,8,6,1]=>[4,5,2,6,7,1,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[5,4,8,3,2,7,6,1]=>[4,5,1,6,7,2,3,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[6,4,5,3,2,1,8,7]=>[3,5,4,6,7,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[5,3,2,6,4,1,8,7]=>[4,6,7,3,5,8,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[4,5,8,3,2,7,6,1]=>[5,4,1,6,7,2,3,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[4,7,6,3,8,5,2,1]=>[5,2,3,6,1,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[4,8,6,3,7,5,2,1]=>[5,1,3,6,2,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[4,8,5,3,2,7,6,1]=>[5,1,4,6,7,2,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[5,8,4,3,2,7,6,1]=>[4,1,5,6,7,2,3,8]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[5,3,2,8,4,7,6,1]=>[4,6,7,1,5,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[2,1,5,8,4,7,6,3]=>[7,8,4,1,5,2,3,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,3,2,7,4,8,6,1]=>[4,6,7,2,5,1,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[5,7,4,3,2,8,6,1]=>[4,2,5,6,7,1,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[4,7,5,3,2,8,6,1]=>[5,2,4,6,7,1,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[4,7,8,3,6,5,2,1]=>[5,2,1,6,3,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[4,6,8,3,7,5,2,1]=>[5,3,1,6,2,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[7,6,4,3,8,5,2,1]=>[2,3,5,6,1,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[7,3,2,6,8,5,4,1]=>[2,6,7,3,1,4,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[2,1,8,6,7,5,4,3]=>[7,8,1,3,2,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[8,3,2,6,7,5,4,1]=>[1,6,7,3,2,4,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[8,6,4,3,7,5,2,1]=>[1,3,5,6,2,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[8,5,7,6,4,3,2,1]=>[1,4,2,3,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[8,4,5,3,2,7,6,1]=>[1,5,4,6,7,2,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[8,4,7,3,6,5,2,1]=>[1,5,2,6,3,4,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[8,4,6,3,7,5,2,1]=>[1,5,3,6,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[7,4,6,3,8,5,2,1]=>[2,5,3,6,1,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[3,7,2,6,8,5,4,1]=>[6,2,7,3,1,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[3,8,2,6,7,5,4,1]=>[6,1,7,3,2,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[3,8,2,5,4,7,6,1]=>[6,1,7,4,5,2,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[3,7,2,8,6,5,4,1]=>[6,2,7,1,3,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,6,2,8,7,5,4,1]=>[6,3,7,1,2,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[6,4,7,3,8,5,2,1]=>[3,5,2,6,1,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[6,4,8,3,7,5,2,1]=>[3,5,1,6,2,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[7,4,8,3,6,5,2,1]=>[2,5,1,6,3,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[7,4,5,3,2,8,6,1]=>[2,5,4,6,7,1,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[7,5,4,3,2,8,6,1]=>[2,4,5,6,7,1,3,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[7,3,2,5,4,8,6,1]=>[2,6,7,4,5,1,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[2,1,7,5,4,8,6,3]=>[7,8,2,4,5,1,3,6]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[7,3,2,8,6,5,4,1]=>[2,6,7,1,3,4,5,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[7,8,4,3,6,5,2,1]=>[2,1,5,6,3,4,7,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,8,5,7,4,3,2,1]=>[3,1,4,2,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[6,8,4,3,7,5,2,1]=>[3,1,5,6,2,4,7,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,3,2,8,7,5,4,1]=>[3,6,7,1,2,4,5,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[6,3,2,7,8,5,4,1]=>[3,6,7,2,1,4,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,7,4,3,8,5,2,1]=>[3,2,5,6,1,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[2,3,1,4,5,6,7,8,9]=>[8,7,9,6,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[2,7]
[2,3,1,4,5,6,7,8,9,10]=>[9,8,10,7,6,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[2,8]
[2,4,3,1,5,6,7,8,9]=>[8,6,7,9,5,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8],[9]]=>[2,7]
[2,3,4,5,6,8,7,1,9]=>[8,7,6,5,4,2,3,9,1]=>[[1,7,8],[2],[3],[4],[5],[6],[9]]=>[6,3]
[2,3,4,5,6,7,9,8,1]=>[8,7,6,5,4,3,1,2,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[4,6,8,3,5,7,1,2]=>[5,3,1,6,4,2,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[6,8,1,2,4,5,7,3]=>[3,1,8,7,5,4,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[3,5,8,2,4,7,1,6]=>[6,4,1,7,5,2,8,3]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[4,2,5,7,3,6,1,8]=>[5,7,4,2,6,3,8,1]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,5,2,8,3,1,6,7]=>[5,4,7,1,6,8,3,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[4,2,5,8,3,7,1,6]=>[5,7,4,1,6,2,8,3]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[5,3,6,8,4,7,1,2]=>[4,6,3,1,5,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[1,4,3,8,2,6,7,5]=>[8,5,6,1,7,3,2,4]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[5,4,8,3,2,1,6,7]=>[4,5,1,6,7,8,3,2]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[5,4,3,7,2,6,1,8]=>[4,5,6,2,7,3,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[4,3,6,2,7,5,1,8]=>[5,6,3,7,2,4,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,6,3,2,1,8,5,7]=>[5,3,6,7,8,1,4,2]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[7,5,1,4,8,2,6,3]=>[2,4,8,5,1,7,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[5,4,7,3,8,6,1,2]=>[4,5,2,6,1,3,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[8,3,5,1,2,7,6,4]=>[1,6,4,8,7,2,3,5]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[1,8,4,3,5,2,7,6]=>[8,1,5,6,4,7,2,3]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[1,8,3,6,2,7,5,4]=>[8,1,6,3,7,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,6,8,7,4,2,5,3]=>[8,3,1,2,5,7,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[6,4,8,7,5,3,1,2]=>[3,5,1,2,4,6,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[7,6,4,3,8,5,1,2]=>[2,3,5,6,1,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,5,3,2,7,4,8,6]=>[8,4,6,7,2,5,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[6,3,2,1,8,5,4,7]=>[3,6,7,8,1,4,5,2]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,2,6,3,7,4,1,8]=>[4,7,3,6,2,5,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[2,8,5,3,1,6,4,7]=>[7,1,4,6,8,3,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,6,2,3,7,8,5,4]=>[8,3,7,6,2,1,4,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[1,6,7,2,8,4,5,3]=>[8,3,2,7,1,5,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,7,1,8,2,4,6,3]=>[4,2,8,1,7,5,3,6]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[5,1,2,7,8,3,6,4]=>[4,8,7,2,1,6,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[4,2,1,7,3,8,5,6]=>[5,7,8,2,6,1,4,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[7,3,2,1,8,4,5,6]=>[2,6,7,8,1,5,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,8,3,2,5,6,1,4]=>[2,1,6,7,4,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[7,1,8,2,4,5,6,3]=>[2,8,1,7,5,4,3,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[8,7,6,1,2,4,5,3]=>[1,2,3,8,7,5,4,6]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,3,7,6,2,1,4,5]=>[1,6,2,3,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[3,2,8,7,5,1,4,6]=>[6,7,1,2,4,8,5,3]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[8,3,6,5,2,1,4,7]=>[1,6,3,4,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[7,6,3,5,2,4,1,8]=>[2,3,6,4,7,5,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,2,4,1,6,5,3,7]=>[1,7,5,8,3,4,6,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,2,8,1,7,5,3,6]=>[5,7,1,8,2,4,6,3]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[8,2,4,1,7,6,3,5]=>[1,7,5,8,2,3,6,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[8,7,1,5,6,2,4,3]=>[1,2,8,4,3,7,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,5,7,3,6,4,1,2]=>[1,4,2,6,3,5,8,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[6,8,3,7,5,4,1,2]=>[3,1,6,2,4,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,1,6,7,5,2,4,3]=>[1,8,3,2,4,7,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,1,2,6,4,3,7,5]=>[1,8,7,3,5,6,2,4]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,8,1,7,5,4,3,6]=>[7,1,8,2,4,5,6,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[2,1,8,6,5,4,3,7]=>[7,8,1,3,4,5,6,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[1,7,2,4,3,8,6,5]=>[8,2,7,5,6,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[1,7,2,8,3,6,5,4]=>[8,2,7,1,6,3,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,7,8,6,5,2,4,3]=>[8,2,1,3,4,7,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[7,3,8,6,5,4,1,2]=>[2,6,1,3,4,5,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[1,8,7,6,5,2,4,3]=>[8,1,2,3,4,7,5,6]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[8,1,7,3,2,6,5,4]=>[1,8,2,6,7,3,4,5]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[8,6,5,4,1,7,2,3]=>[1,3,4,5,8,2,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,6,1,7,4,3,2,5]=>[1,3,8,2,5,6,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,6,3,2,7,5,1,8]=>[5,3,6,7,2,4,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[7,4,8,3,1,6,2,5]=>[2,5,1,6,8,3,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,1,5,8,3,2,6,4]=>[2,8,4,1,6,7,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[5,7,4,1,8,2,6,3]=>[4,2,5,8,1,7,3,6]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[1,8,7,2,5,4,6,3]=>[8,1,2,7,4,5,3,6]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[1,8,5,3,7,2,6,4]=>[8,1,4,6,2,7,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[4,3,1,8,7,5,2,6]=>[5,6,8,1,2,4,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,4,8,6,3,5,2,7]=>[8,5,1,3,6,4,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[7,4,6,3,5,2,1,8]=>[2,5,3,6,4,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[1,3,5,6,8,4,2,7]=>[8,6,4,3,1,5,7,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[3,1,4,6,8,7,2,5]=>[6,8,5,3,1,2,7,4]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[1,6,2,4,8,7,5,3]=>[8,3,7,5,1,2,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[8,4,1,6,7,5,3,2]=>[1,5,8,3,2,4,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[7,3,6,8,5,1,2,4]=>[2,6,3,1,4,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[1,3,7,2,6,8,4,5]=>[8,6,2,7,3,1,5,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,6,5,2,8,1,4,7]=>[6,3,4,7,1,8,5,2]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[4,2,6,3,8,1,5,7]=>[5,7,3,6,1,8,4,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[4,2,6,7,3,5,1,8]=>[5,7,3,2,6,4,8,1]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[3,6,2,4,7,5,1,8]=>[6,3,7,5,2,4,8,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[8,7,6,4,3,1,5,2]=>[1,2,3,5,6,8,4,7]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[8,7,6,4,1,5,2,3]=>[1,2,3,5,8,4,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[3,8,7,2,1,4,6,5]=>[6,1,2,7,8,5,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[3,6,8,2,1,5,4,7]=>[6,3,1,7,8,4,5,2]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[2,4,8,1,6,5,3,7]=>[7,5,1,8,3,4,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[4,2,8,1,5,7,3,6]=>[5,7,1,8,4,2,6,3]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[8,5,7,6,1,4,2,3]=>[1,4,2,3,8,5,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[8,6,1,7,3,5,4,2]=>[1,3,8,2,6,4,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,6,1,7,5,4,2,3]=>[1,3,8,2,4,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,6,2,8,7,3,5,4]=>[8,3,7,1,2,6,4,5]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[1,8,2,4,6,7,3,5]=>[8,1,7,5,3,2,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[2,8,5,4,7,1,3,6]=>[7,1,4,5,2,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[2,1,5,8,6,4,3,7]=>[7,8,4,1,3,5,6,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[7,2,5,6,4,3,1,8]=>[2,7,4,3,5,6,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[1,2,5,7,8,4,3,6]=>[8,7,4,2,1,5,6,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[1,2,7,8,3,6,5,4]=>[8,7,2,1,6,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[7,1,8,6,3,5,4,2]=>[2,8,1,3,6,4,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,8,7,6,3,5,2,4]=>[8,1,2,3,6,4,7,5]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[1,8,7,4,6,3,2,5]=>[8,1,2,5,3,6,7,4]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[7,1,5,8,3,4,6,2]=>[2,8,4,1,6,5,3,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[7,1,6,4,2,3,5,8]=>[2,8,3,5,7,6,4,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[8,6,2,4,7,3,5,1]=>[1,3,7,5,2,6,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[2,7,1,4,5,8,3,6]=>[7,2,8,5,4,1,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[7,1,6,4,5,2,3,8]=>[2,8,3,5,4,7,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,1,4,5,6,8,2,3]=>[2,8,5,4,3,1,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[7,1,4,6,5,8,3,2]=>[2,8,5,3,4,1,6,7]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[7,1,2,3,8,5,4,6]=>[2,8,7,6,1,4,5,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[7,1,5,4,3,8,2,6]=>[2,8,4,5,6,1,7,3]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[7,1,3,4,2,6,8,5]=>[2,8,6,5,7,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[7,1,5,4,6,2,8,3]=>[2,8,4,5,3,7,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,1,5,6,4,3,8,2]=>[2,8,4,3,5,6,1,7]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[7,1,6,5,4,3,2,8]=>[2,8,3,4,5,6,7,1]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[8,6,2,5,4,3,7,1]=>[1,3,7,4,5,6,2,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[2,5,1,4,7,8,6,3]=>[7,4,8,5,2,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[3,5,1,4,8,6,2,7]=>[6,4,8,5,1,3,7,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[3,6,2,4,7,8,1,5]=>[6,3,7,5,2,1,8,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[5,6,2,4,8,7,1,3]=>[4,3,7,5,1,2,8,6]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[6,3,8,2,4,7,1,5]=>[3,6,1,7,5,2,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[6,5,8,7,2,3,1,4]=>[3,4,1,2,7,6,8,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[6,5,7,8,2,4,1,3]=>[3,4,2,1,7,5,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[6,3,4,2,8,5,1,7]=>[3,6,5,7,1,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[3,4,7,2,5,8,1,6]=>[6,5,2,7,4,1,8,3]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[4,6,8,1,3,5,2,7]=>[5,3,1,8,6,4,7,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[4,3,8,1,2,7,5,6]=>[5,6,1,8,7,2,4,3]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[3,6,4,1,7,2,5,8]=>[6,3,5,8,2,7,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,8,3,1,5,6,4,7]=>[7,1,6,8,4,3,5,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[3,8,7,1,5,4,2,6]=>[6,1,2,8,4,5,7,3]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[4,3,1,7,6,8,2,5]=>[5,6,8,2,3,1,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[3,4,1,7,5,6,8,2]=>[6,5,8,2,4,3,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[3,4,1,5,7,6,2,8]=>[6,5,8,4,2,3,7,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[3,7,4,1,6,2,8,5]=>[6,2,5,8,3,7,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[8,4,7,2,5,3,6,1]=>[1,5,2,7,4,6,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[4,7,8,1,2,3,6,5]=>[5,2,1,8,7,6,3,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[2,8,6,1,5,3,7,4]=>[7,1,3,8,4,6,2,5]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[7,6,5,1,3,8,2,4]=>[2,3,4,8,6,1,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,6,5,1,3,4,8,2]=>[2,3,4,8,6,5,1,7]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[7,2,6,4,1,3,8,5]=>[2,7,3,5,8,6,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[6,7,5,2,1,3,8,4]=>[3,2,4,7,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[8,4,5,3,7,2,6,1]=>[1,5,4,6,2,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[4,7,5,2,8,1,6,3]=>[5,2,4,7,1,8,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,6,4,3,1,5,7,8]=>[7,3,5,6,8,4,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[7,3,8,4,1,5,2,6]=>[2,6,1,5,8,4,7,3]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[7,2,3,4,1,6,5,8]=>[2,7,6,5,8,3,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[4,2,8,3,6,1,5,7]=>[5,7,1,6,3,8,4,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[6,8,5,7,2,1,3,4]=>[3,1,4,2,7,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[4,8,5,2,7,1,3,6]=>[5,1,4,7,2,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[6,3,5,2,1,7,4,8]=>[3,6,4,7,8,2,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[3,6,5,4,2,8,1,7]=>[6,3,4,5,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[1,6,4,7,2,5,3,8]=>[8,3,5,2,7,4,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,6,4,8,2,5,3,7]=>[8,3,5,1,7,4,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,6,5,8,2,4,3,7]=>[8,3,4,1,7,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,6,8,2,4,3,7,5]=>[8,3,1,7,5,6,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[1,6,2,4,3,7,8,5]=>[8,3,7,5,6,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[1,5,6,2,4,7,3,8]=>[8,4,3,7,5,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[1,5,6,2,4,7,8,3]=>[8,4,3,7,5,2,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[1,5,8,2,4,7,3,6]=>[8,4,1,7,5,2,6,3]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[1,5,7,2,4,8,3,6]=>[8,4,2,7,5,1,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[1,6,5,7,2,4,3,8]=>[8,3,4,2,7,5,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,6,7,2,4,3,8,5]=>[8,3,2,7,5,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[1,5,6,7,2,4,8,3]=>[8,4,3,2,7,5,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[1,5,8,2,4,6,7,3]=>[8,4,1,7,5,3,2,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[1,5,7,2,4,6,8,3]=>[8,4,2,7,5,3,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[1,5,7,8,3,2,4,6]=>[8,4,2,1,6,7,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[1,5,8,3,2,4,6,7]=>[8,4,1,6,7,5,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,5,6,2,4,8,3,7]=>[8,4,3,7,5,1,6,2]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[1,7,6,2,8,3,4,5]=>[8,2,3,7,1,6,5,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,7,3,4,2,8,6,5]=>[8,2,6,5,7,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[1,6,2,4,3,8,7,5]=>[8,3,7,5,6,1,2,4]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[1,5,6,2,4,8,7,3]=>[8,4,3,7,5,1,2,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[1,5,8,7,3,2,4,6]=>[8,4,1,2,6,7,5,3]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[1,4,2,3,5,8,7,6]=>[8,5,7,6,4,1,2,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[1,5,2,3,4,8,7,6]=>[8,4,7,6,5,1,2,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[1,6,5,2,3,8,7,4]=>[8,3,4,7,6,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[1,7,4,2,8,6,5,3]=>[8,2,5,7,1,3,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[1,7,6,5,2,8,4,3]=>[8,2,3,4,7,1,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[1,6,7,5,2,3,8,4]=>[8,3,2,4,7,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[1,7,5,2,8,4,3,6]=>[8,2,4,7,1,5,6,3]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[1,7,5,6,2,8,3,4]=>[8,2,4,3,7,1,6,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,5,7,6,2,4,8,3]=>[8,4,2,3,7,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[1,5,8,3,2,4,7,6]=>[8,4,1,6,7,5,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[1,6,5,2,3,7,4,8]=>[8,3,4,7,6,2,5,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,6,5,2,3,7,8,4]=>[8,3,4,7,6,2,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[1,6,8,4,2,3,7,5]=>[8,3,1,5,7,6,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[1,7,4,6,2,8,3,5]=>[8,2,5,3,7,1,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,7,3,5,2,8,4,6]=>[8,2,6,4,7,1,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,6,8,5,2,3,7,4]=>[8,3,1,4,7,6,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[1,6,4,2,3,7,8,5]=>[8,3,5,7,6,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[1,6,4,2,3,7,5,8]=>[8,3,5,7,6,2,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[1,5,7,3,2,4,8,6]=>[8,4,2,6,7,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[1,7,3,4,2,8,5,6]=>[8,2,6,5,7,1,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,7,4,2,8,5,3,6]=>[8,2,5,7,1,4,6,3]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[1,6,7,4,2,3,8,5]=>[8,3,2,5,7,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[1,6,4,2,3,8,5,7]=>[8,3,5,7,6,1,4,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,7,6,4,2,8,5,3]=>[8,2,3,5,7,1,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[1,7,5,2,8,6,4,3]=>[8,2,4,7,1,3,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[1,6,4,2,3,8,7,5]=>[8,3,5,7,6,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[7,3,5,6,1,4,8,2]=>[2,6,4,3,8,5,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[3,7,5,6,1,4,8,2]=>[6,2,4,3,8,5,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[3,6,1,4,2,8,5,7]=>[6,3,8,5,7,1,4,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,7,1,6,3,5,8,2]=>[5,2,8,3,6,4,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[3,1,4,7,6,5,8,2]=>[6,8,5,2,3,4,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[7,1,6,4,3,5,8,2]=>[2,8,3,5,6,4,1,7]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[8,1,6,4,2,7,5,3]=>[1,8,3,5,7,2,4,6]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[8,4,1,3,7,2,5,6]=>[1,5,8,6,2,7,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[7,4,1,3,8,2,5,6]=>[2,5,8,6,1,7,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[4,7,8,1,2,6,5,3]=>[5,2,1,8,7,3,4,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,8,1,4,2,7,5,3]=>[3,1,8,5,7,2,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[1,8,6,4,2,7,5,3]=>[8,1,3,5,7,2,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[4,8,1,3,7,2,5,6]=>[5,1,8,6,2,7,4,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,7,1,3,6,2,5,4]=>[1,2,8,6,3,7,4,5]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,8,5,7,3,2,1,4]=>[3,1,4,2,6,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[2,8,3,4,7,6,1,5]=>[7,1,6,5,2,3,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[3,7,8,4,6,2,1,5]=>[6,2,1,5,3,7,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,4,3,7,8,6,1,5]=>[7,5,6,2,1,3,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[5,7,6,8,3,2,1,4]=>[4,2,3,1,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[2,5,3,4,8,6,1,7]=>[7,4,6,5,1,3,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[3,7,5,4,8,2,1,6]=>[6,2,4,5,1,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[7,1,3,4,2,8,5,6]=>[2,8,6,5,7,1,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,1,4,3,8,2,5,7]=>[3,8,5,6,1,7,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[4,1,7,3,8,2,5,6]=>[5,8,2,6,1,7,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[8,1,4,3,7,2,5,6]=>[1,8,5,6,2,7,4,3]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[4,2,3,7,8,6,1,5]=>[5,7,6,2,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[5,2,3,4,8,6,1,7]=>[4,7,6,5,1,3,8,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[2,7,5,6,3,8,1,4]=>[7,2,4,3,6,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,7,2,6,3,8,1,4]=>[4,2,7,3,6,1,8,5]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[5,2,3,8,7,6,1,4]=>[4,7,6,1,2,3,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[8,2,3,7,5,6,1,4]=>[1,7,6,2,4,3,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[1,7,8,4,2,6,5,3]=>[8,2,1,5,7,3,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[4,7,1,8,2,5,6,3]=>[5,2,8,1,7,4,3,6]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,4,3,8,5,6,1,7]=>[7,5,6,1,4,3,8,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[7,5,8,6,3,2,1,4]=>[2,4,1,3,6,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[6,5,8,7,3,2,1,4]=>[3,4,1,2,6,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[8,5,7,6,3,2,1,4]=>[1,4,2,3,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[2,5,3,8,7,6,1,4]=>[7,4,6,1,2,3,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[3,7,5,8,6,2,1,4]=>[6,2,4,1,3,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[3,7,8,6,5,2,1,4]=>[6,2,1,3,4,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[1,8,7,3,6,2,5,4]=>[8,1,2,6,3,7,4,5]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[6,8,7,5,3,2,1,4]=>[3,1,2,4,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[5,7,6,8,3,4,1,2]=>[4,2,3,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,7,6,8,4,5,1,2]=>[6,2,3,1,5,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[1,5,4,7,6,8,2,3]=>[8,4,5,2,3,1,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[1,7,4,6,5,8,2,3]=>[8,2,5,3,4,1,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,7,4,6,5,8,1,2]=>[6,2,5,3,4,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,5,4,8,6,7,1,2]=>[6,4,5,1,3,2,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[3,8,4,6,5,7,1,2]=>[6,1,5,3,4,2,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,6,4,7,5,8,1,2]=>[6,3,5,2,4,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[1,6,2,7,5,8,3,4]=>[8,3,7,2,4,1,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,6,4,8,5,7,2,3]=>[8,3,5,1,4,2,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[1,8,4,6,5,7,2,3]=>[8,1,5,3,4,2,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,5,4,8,6,7,2,3]=>[8,4,5,1,3,2,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[7,8,1,5,4,6,2,3]=>[2,1,8,4,5,3,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[7,8,1,5,2,4,3,6]=>[2,1,8,4,7,5,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[1,8,2,6,5,7,3,4]=>[8,1,7,3,4,2,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,7,2,8,5,6,3,4]=>[8,2,7,1,4,3,6,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[1,7,2,6,5,8,3,4]=>[8,2,7,3,4,1,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,5,2,7,6,8,3,4]=>[8,4,7,2,3,1,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,7,6,8,2,5,3,4]=>[8,2,3,1,7,4,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,7,6,8,4,5,2,3]=>[8,2,3,1,5,4,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,7,6,8,1,4,2,3]=>[4,2,3,1,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[7,8,5,6,1,3,2,4]=>[2,1,4,3,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,8,6,7,1,3,2,4]=>[4,1,3,2,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[1,3,2,7,6,8,4,5]=>[8,6,7,2,3,1,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,7,6,8,2,4,3,5]=>[8,2,3,1,7,5,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[7,8,1,3,2,6,4,5]=>[2,1,8,6,7,3,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,8,1,6,2,4,3,5]=>[2,1,8,3,7,5,6,4]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[1,8,6,7,2,4,3,5]=>[8,1,3,2,7,5,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[7,8,1,4,2,6,3,5]=>[2,1,8,5,7,3,6,4]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,8,1,4,2,5,3,6]=>[2,1,8,5,7,4,6,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,8,1,2,4,3,5,6]=>[2,1,8,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[3,4,6,5,7,8,1,2]=>[6,5,3,4,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[3,4,5,6,7,8,9,1,10,2]=>[8,7,6,5,4,3,2,10,1,9]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[7,2,1]
[1,6,2,3,8,7,4,5]=>[8,3,7,6,1,2,5,4]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[1,7,4,3,2,8,6,5]=>[8,2,5,6,7,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[1,4,7,6,2,5,8,3]=>[8,5,2,3,7,4,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[1,2,6,5,3,7,4,8]=>[8,7,3,4,6,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[1,2,6,5,3,7,8,4]=>[8,7,3,4,6,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,3,7,5,2,6,8,4]=>[8,6,2,4,7,3,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,3,7,4,2,6,8,5]=>[8,6,2,5,7,3,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,2,6,4,3,7,8,5]=>[8,7,3,5,6,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,2,6,4,3,7,5,8]=>[8,7,3,5,6,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[1,4,7,3,2,5,8,6]=>[8,5,2,6,7,4,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[1,4,3,2,5,8,6,7]=>[8,5,6,7,4,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,5,3,2,4,8,6,7]=>[8,4,6,7,5,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,7,5,3,2,8,6,4]=>[8,2,4,6,7,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[1,5,3,2,4,8,7,6]=>[8,4,6,7,5,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[7,6,5,4,3,1,8,2]=>[2,3,4,5,6,8,1,7]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[6,8,5,4,3,2,1,7]=>[3,1,4,5,6,7,8,2]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[8,7,6,5,4,3,1,9,2]=>[2,3,4,5,6,7,9,1,8]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[7,9,6,5,4,3,2,1,8]=>[3,1,4,5,6,7,8,9,2]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[9,8,7,6,5,4,3,1,10,2]=>[2,3,4,5,6,7,8,10,1,9]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[7,1,5,4,3,8,6,2]=>[2,8,4,5,6,1,3,7]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[3,6,5,4,8,1,7,2]=>[6,3,4,5,1,8,2,7]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[6,8,1,4,3,2,7,5]=>[3,1,8,5,6,7,2,4]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[2,8,5,4,3,7,1,6]=>[7,1,4,5,6,2,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[8,10,7,6,5,4,3,2,1,9]=>[3,1,4,5,6,7,8,9,10,2]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[7,6,1,4,3,8,5,2]=>[2,3,8,5,6,1,4,7]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[4,6,5,8,3,1,7,2]=>[5,3,4,1,6,8,2,7]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[6,8,5,1,3,2,7,4]=>[3,1,4,8,6,7,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[1,8,2,4,3,7,6,5]=>[8,1,7,5,6,2,3,4]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,8,5,4,7,2,1,6]=>[6,1,4,5,2,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[7,6,5,1,3,8,4,2]=>[2,3,4,8,6,1,5,7]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[1,6,3,4,8,7,5,2]=>[8,3,6,5,1,2,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,4,5,8,3,7,6,2]=>[8,5,4,1,6,2,3,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,8,5,4,1,2,7,3]=>[3,1,4,5,8,7,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[1,8,5,2,3,7,6,4]=>[8,1,4,7,6,2,3,5]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[6,8,2,4,3,7,1,5]=>[3,1,7,5,6,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[1,8,3,4,7,2,6,5]=>[8,1,6,5,2,7,3,4]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[7,5,8,4,3,2,1,6]=>[2,4,1,5,6,7,8,3]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[4,8,5,7,3,2,1,6]=>[5,1,4,2,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[5,1,7,6,8,4,3,2]=>[4,8,2,3,1,5,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[6,4,8,5,2,7,1,3]=>[3,5,1,4,7,2,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[8,4,7,5,2,6,1,3]=>[1,5,2,4,7,3,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,4,6,8,2,1,7,3]=>[4,5,3,1,7,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,4,6,5,2,1,7,3]=>[1,5,3,4,7,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[2,7,5,1,8,4,3,6]=>[7,2,4,8,1,5,6,3]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[2,8,6,7,4,3,5,1]=>[7,1,3,2,5,6,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[3,6,5,2,4,1,8,7]=>[6,3,4,7,5,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[5,2,3,6,4,1,8,7]=>[4,7,6,3,5,8,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[3,8,7,1,4,6,5,2]=>[6,1,2,8,5,3,4,7]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[4,3,7,6,8,2,5,1]=>[5,6,2,3,1,7,4,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,3,6,8,1,7,2,4]=>[4,6,3,1,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[3,2,6,8,5,7,1,4]=>[6,7,3,1,4,2,8,5]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[6,3,7,2,4,8,5,1]=>[3,6,2,7,5,1,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[3,6,4,7,5,1,8,2]=>[6,3,5,2,4,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[8,4,7,6,2,3,1,5]=>[1,5,2,3,7,6,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[8,4,7,1,2,5,6,3]=>[1,5,2,8,7,4,3,6]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,4,3,8,2,5,6,1]=>[2,5,6,1,7,4,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[6,4,1,5,8,2,7,3]=>[3,5,8,4,1,7,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[2,5,8,7,3,6,1,4]=>[7,4,1,2,6,3,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[2,1,5,8,7,4,6,3]=>[7,8,4,1,2,5,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,2,7,1,8,5,6,3]=>[5,7,2,8,1,4,3,6]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[3,4,7,2,8,5,6,1]=>[6,5,2,7,1,4,3,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[7,2,3,4,8,5,6,1]=>[2,7,6,5,1,4,3,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,1,8,5,2,7,4,3]=>[3,8,1,4,7,2,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[2,1,7,4,5,8,6,3]=>[7,8,2,5,4,1,3,6]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[7,8,2,6,4,1,5,3]=>[2,1,7,3,5,8,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,1,6,8,4,7,2,3]=>[4,8,3,1,5,2,7,6]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[3,6,8,7,5,2,1,4]=>[6,3,1,2,4,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,1,6,4,7,3,2,5]=>[1,8,3,5,2,6,7,4]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[7,3,5,8,4,2,1,6]=>[2,6,4,1,5,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,2,8,4,3,5,6,1]=>[2,7,1,5,6,4,3,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[3,1,8,7,2,5,6,4]=>[6,8,1,2,7,4,3,5]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[8,2,3,7,1,5,6,4]=>[1,7,6,2,8,4,3,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[2,8,4,6,7,3,1,5]=>[7,1,5,3,2,6,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[4,3,8,2,7,6,1,5]=>[5,6,1,7,2,3,8,4]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[2,8,3,7,1,5,6,4]=>[7,1,6,2,8,4,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[6,4,1,3,2,8,5,7]=>[3,5,8,6,7,1,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[5,3,8,6,2,1,4,7]=>[4,6,1,3,7,8,5,2]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[4,1,6,5,8,2,3,7]=>[5,8,3,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[2,3,6,8,4,5,1,7]=>[7,6,3,1,5,4,8,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[5,8,4,3,7,6,1,2]=>[4,1,5,6,2,3,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[8,7,4,3,1,6,2,5]=>[1,2,5,6,8,3,7,4]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,1,5,3,4,8,2,6]=>[2,8,4,6,5,1,7,3]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[2,8,6,1,7,4,5,3]=>[7,1,3,8,2,5,4,6]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[4,8,6,5,7,2,1,3]=>[5,1,3,4,2,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[4,7,6,8,2,1,5,3]=>[5,2,3,1,7,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[6,1,8,7,4,3,5,2]=>[3,8,1,2,5,6,4,7]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[8,5,4,3,1,6,7,2]=>[1,4,5,6,8,3,2,7]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,5,8,6,3,4,7,2]=>[8,4,1,3,6,5,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,5,8,6,3,4,7,1]=>[7,4,1,3,6,5,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[4,1,3,8,5,6,7,2]=>[5,8,6,1,4,3,2,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[6,5,8,4,3,1,7,2]=>[3,4,1,5,6,8,2,7]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,2,8,1,3,6,4,5]=>[2,7,1,8,6,3,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[1,8,5,2,3,6,7,4]=>[8,1,4,7,6,3,2,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[1,8,3,2,5,6,7,4]=>[8,1,6,7,4,3,2,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,8,3,1,5,6,7,4]=>[7,1,6,8,4,3,2,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[4,8,3,2,5,6,7,1]=>[5,1,6,7,4,3,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[8,2,3,1,5,6,7,4]=>[1,7,6,8,4,3,2,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[4,5,8,1,2,3,7,6]=>[5,4,1,8,7,6,2,3]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[3,8,4,1,2,6,7,5]=>[6,1,5,8,7,3,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[5,4,8,2,3,6,7,1]=>[4,5,1,7,6,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[5,8,3,6,7,4,1,2]=>[4,1,6,3,2,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[1,4,7,3,2,8,5,6]=>[8,5,2,6,7,1,4,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,7,1,4,3,8,5,6]=>[7,2,8,5,6,1,4,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,4,1,8,6,3,7,5]=>[7,5,8,1,3,6,2,4]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[8,2,5,6,1,4,7,3]=>[1,7,4,3,8,5,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[8,6,5,4,1,2,7,3]=>[1,3,4,5,8,7,2,6]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[2,6,1,8,3,7,5,4]=>[7,3,8,1,6,2,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,7,1,6,2,8,5,3]=>[5,2,8,3,7,1,4,6]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[2,8,6,3,7,1,5,4]=>[7,1,3,6,2,8,4,5]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[4,8,2,5,1,6,7,3]=>[5,1,7,4,8,3,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[3,4,8,5,2,6,7,1]=>[6,5,1,4,7,3,2,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[7,2,1,5,8,6,3,4]=>[2,7,8,4,1,3,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[2,8,4,5,1,6,7,3]=>[7,1,5,4,8,3,2,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[5,4,8,3,7,6,1,2]=>[4,5,1,6,2,3,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[3,1,5,8,6,2,7,4]=>[6,8,4,1,3,7,2,5]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[6,3,4,8,5,1,7,2]=>[3,6,5,1,4,8,2,7]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[7,6,1,2,8,3,5,4]=>[2,3,8,7,1,6,4,5]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[7,5,8,4,1,2,6,3]=>[2,4,1,5,8,7,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,5,8,4,6,1,3,2]=>[2,4,1,5,3,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[6,5,4,8,7,1,3,2]=>[3,4,5,1,2,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[6,5,4,8,1,2,7,3]=>[3,4,5,1,8,7,2,6]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,5,1,6,2,3,8,4]=>[2,4,8,3,7,6,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,5,1,6,8,2,4,3]=>[2,4,8,3,1,7,5,6]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[6,5,4,1,8,2,7,3]=>[3,4,5,8,1,7,2,6]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[6,5,4,7,1,2,8,3]=>[3,4,5,2,8,7,1,6]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[6,5,4,7,8,1,3,2]=>[3,4,5,2,1,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,5,3,7,1,4,2,8]=>[3,4,6,2,8,5,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,5,3,1,8,4,2,7]=>[3,4,6,8,1,5,7,2]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[7,5,1,4,8,3,2,6]=>[2,4,8,5,1,6,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,1,6,4,7,3,5,2]=>[1,8,3,5,2,6,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,5,1,4,8,3,6,2]=>[2,4,8,5,1,6,3,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,5,3,7,1,4,8,2]=>[3,4,6,2,8,5,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,4,3,1,5,8,7,2]=>[3,5,6,8,4,1,2,7]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,4,1,5,3,8,6,2]=>[2,5,8,4,6,1,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[8,1,5,4,3,7,6,2]=>[1,8,4,5,6,2,3,7]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[8,1,5,4,3,7,2,6]=>[1,8,4,5,6,2,7,3]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[7,4,1,5,3,8,2,6]=>[2,5,8,4,6,1,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[7,4,1,5,3,2,6,8]=>[2,5,8,4,6,7,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,1,5,4,3,2,6,7]=>[1,8,4,5,6,7,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[8,1,6,4,2,5,3,7]=>[1,8,3,5,7,4,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[6,5,3,1,2,7,4,8]=>[3,4,6,8,7,2,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,5,3,8,1,4,2,7]=>[3,4,6,1,8,5,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[7,6,8,1,4,3,2,5]=>[2,3,1,8,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,1,7,2,5,4,3,6]=>[1,8,2,7,4,5,6,3]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,1,7,2,5,4,6,3]=>[1,8,2,7,4,5,3,6]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[7,6,1,2,5,4,8,3]=>[2,3,8,7,4,5,1,6]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[6,5,3,8,1,4,7,2]=>[3,4,6,1,8,5,2,7]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,5,3,1,2,7,8,4]=>[3,4,6,8,7,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,5,1,4,2,6,8,3]=>[2,4,8,5,7,3,1,6]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,1,6,4,2,5,7,3]=>[1,8,3,5,7,4,2,6]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,4,1,5,3,2,8,6]=>[2,5,8,4,6,7,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[6,4,3,1,5,2,8,7]=>[3,5,6,8,4,7,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[6,4,3,1,5,7,2,8]=>[3,5,6,8,4,2,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,4,1,5,3,6,2,8]=>[2,5,8,4,6,3,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,1,5,4,3,6,2,7]=>[1,8,4,5,6,3,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[8,1,5,4,3,6,7,2]=>[1,8,4,5,6,3,2,7]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[7,4,1,5,3,6,8,2]=>[2,5,8,4,6,3,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[6,4,3,1,5,7,8,2]=>[3,5,6,8,4,2,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,7,3,8,4,5,1,2]=>[3,2,6,1,5,4,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,7,4,5,1,8,2,3]=>[3,2,5,4,8,1,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[4,7,5,6,2,3,1,8]=>[5,2,4,3,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,7,5,6,1,8,2,3]=>[5,2,4,3,8,1,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[4,7,5,6,3,8,1,2]=>[5,2,4,3,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,7,5,8,4,6,1,2]=>[6,2,4,1,5,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,5,3,8,6,7,1,2]=>[5,4,6,1,3,2,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[4,8,3,6,5,7,1,2]=>[5,1,6,3,4,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,6,4,7,1,8,2,3]=>[4,3,5,2,8,1,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[5,6,1,7,3,8,2,4]=>[4,3,8,2,6,1,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[5,6,1,8,4,7,2,3]=>[4,3,8,1,5,2,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[4,8,1,6,5,7,2,3]=>[5,1,8,3,4,2,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,5,1,8,6,7,2,3]=>[5,4,8,1,3,2,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[7,8,4,5,1,6,2,3]=>[2,1,5,4,8,3,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[4,8,2,3,1,6,5,7]=>[5,1,7,6,8,3,4,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,6,2,8,1,4,3,7]=>[4,3,7,1,8,5,6,2]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[5,6,3,4,1,8,2,7]=>[4,3,6,5,8,1,7,2]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[3,6,4,5,2,7,1,8]=>[6,3,5,4,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[3,6,4,5,1,8,2,7]=>[6,3,5,4,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,6,4,8,1,5,3,7]=>[7,3,5,1,8,4,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[2,8,3,6,1,5,4,7]=>[7,1,6,3,8,4,5,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,8,3,4,1,6,5,7]=>[7,1,6,5,8,3,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[7,8,2,5,3,4,1,6]=>[2,1,7,4,6,5,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[7,8,1,5,3,6,2,4]=>[2,1,8,4,6,3,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[1,5,3,8,6,7,2,4]=>[8,4,6,1,3,2,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[1,8,3,6,2,7,4,5]=>[8,1,6,3,7,2,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,6,4,8,2,7,3,5]=>[8,3,5,1,7,2,6,4]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[2,6,4,7,3,5,1,8]=>[7,3,5,2,6,4,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,7,3,6,4,5,1,8]=>[7,2,6,3,5,4,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[1,7,3,6,4,8,2,5]=>[8,2,6,3,5,1,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,7,2,8,4,6,3,5]=>[8,2,7,1,5,3,6,4]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[1,7,5,8,4,6,2,3]=>[8,2,4,1,5,3,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[1,7,5,8,2,6,3,4]=>[8,2,4,1,7,3,6,5]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,7,5,6,3,8,2,4]=>[8,2,4,3,6,1,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,7,5,6,3,4,1,8]=>[7,2,4,3,6,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[6,7,2,5,3,4,1,8]=>[3,2,7,4,6,5,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,7,1,5,3,8,2,4]=>[3,2,8,4,6,1,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[6,7,5,8,1,4,2,3]=>[3,2,4,1,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[5,8,6,7,2,3,1,4]=>[4,1,3,2,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[6,7,2,3,1,8,4,5]=>[3,2,7,6,8,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[6,7,2,8,1,4,3,5]=>[3,2,7,1,8,5,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[3,4,2,7,5,6,1,8]=>[6,5,7,2,4,3,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[3,4,1,7,5,8,2,6]=>[6,5,8,2,4,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,7,5,8,1,4,3,6]=>[7,2,4,1,8,5,6,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[2,3,1,7,5,8,4,6]=>[7,6,8,2,4,1,5,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,3,1,8,4,7,5,6]=>[7,6,8,1,5,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[7,8,2,3,1,6,4,5]=>[2,1,7,6,8,3,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,8,2,6,1,4,3,5]=>[2,1,7,3,8,5,6,4]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[2,8,6,7,1,4,3,5]=>[7,1,3,2,8,5,6,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[2,8,1,4,3,7,5,6]=>[7,1,8,5,6,2,4,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[3,7,2,5,4,6,1,8]=>[6,2,7,4,5,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,5,2,7,3,6,1,8]=>[5,4,7,2,6,3,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,5,1,8,2,7,3,6]=>[5,4,8,1,7,2,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,4,1,8,2,7,5,6]=>[6,5,8,1,7,2,4,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,4,1,8,6,7,2,5]=>[6,5,8,1,3,2,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,4,2,5,1,8,6,7]=>[6,5,7,4,8,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,4,2,8,1,6,5,7]=>[6,5,7,1,8,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,8,2,5,1,6,4,7]=>[6,1,7,4,8,3,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[4,5,2,8,1,6,3,7]=>[5,4,7,1,8,3,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[4,5,3,6,1,8,2,7]=>[5,4,6,3,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[7,1,5,8,4,6,2,3]=>[2,8,4,1,5,3,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,6,7,1,4,2,5,3]=>[1,3,2,8,5,7,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,6,3,7,5,1,2,4]=>[1,3,6,2,4,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,6,1,7,3,2,5,4]=>[1,3,8,2,6,7,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,6,1,8,3,5,2,4]=>[2,3,8,1,6,4,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[7,6,2,8,3,5,1,4]=>[2,3,7,1,6,4,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[7,6,2,3,8,5,1,4]=>[2,3,7,6,1,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,5,2,3,1,7,6,4]=>[1,4,7,6,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[8,6,2,7,3,1,5,4]=>[1,3,7,2,6,8,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,6,7,2,4,1,5,3]=>[1,3,2,7,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[8,7,2,5,1,6,3,4]=>[1,2,7,4,8,3,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,4,2,1,7,6,3,5]=>[1,5,7,8,2,3,6,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,8,7,3,1,4,2,6]=>[4,1,2,6,8,5,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[5,8,7,3,1,4,6,2]=>[4,1,2,6,8,5,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[8,5,7,2,1,4,6,3]=>[1,4,2,7,8,5,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[8,4,2,1,3,7,6,5]=>[1,5,7,8,6,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,6,1,3,7,2,5,4]=>[1,3,8,6,2,7,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,5,7,4,1,6,2,3]=>[1,4,2,5,8,3,7,6]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,1,6,4,7,2,5,3]=>[1,8,3,5,2,7,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[5,8,3,6,4,1,2,7]=>[4,1,6,3,5,8,7,2]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[5,2,8,6,4,1,3,7]=>[4,7,1,3,5,8,6,2]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[8,4,7,5,1,6,2,3]=>[1,5,2,4,8,3,7,6]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[8,4,7,5,1,2,6,3]=>[1,5,2,4,8,7,3,6]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[8,4,7,5,1,2,3,6]=>[1,5,2,4,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,7,3,5,1,2,6,4]=>[1,2,6,4,8,7,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[8,3,2,6,5,1,4,7]=>[1,6,7,3,4,8,5,2]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,4,7,2,1,5,3,6]=>[1,5,2,7,8,4,6,3]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,3,2,7,1,5,4,6]=>[1,6,7,2,8,4,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[8,3,2,1,7,6,4,5]=>[1,6,7,8,2,3,5,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[8,7,3,1,2,4,6,5]=>[1,2,6,8,7,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,3,2,1,4,7,6,5]=>[1,6,7,8,5,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,3,2,1,7,4,6,5]=>[1,6,7,8,2,5,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,3,2,7,1,5,6,4]=>[1,6,7,2,8,4,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[8,4,7,2,1,5,6,3]=>[1,5,2,7,8,4,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[3,8,7,4,1,2,5,6]=>[6,1,2,5,8,7,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,7,2,1,6,3,4,5]=>[1,2,7,8,3,6,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,7,2,1,3,6,4,5]=>[1,2,7,8,6,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,7,2,1,3,4,6,5]=>[1,2,7,8,6,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[3,6,5,4,1,2,8,7]=>[6,3,4,5,8,7,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[4,7,5,8,6,2,1,3]=>[5,2,4,1,3,7,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[5,8,1,3,7,6,4,2]=>[4,1,8,6,2,3,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,2,6,8,5,7,3,1]=>[5,7,3,1,4,2,6,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,4,2,7,3,8,5,1]=>[3,5,7,2,6,1,4,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[2,1,5,8,7,6,3,4]=>[7,8,4,1,2,3,6,5]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[2,1,4,7,6,3,8,5]=>[7,8,5,2,3,6,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[6,4,7,8,5,3,2,1]=>[3,5,2,1,4,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[6,3,7,1,5,2,8,4]=>[3,6,2,8,4,7,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[3,2,6,8,4,7,5,1]=>[6,7,3,1,5,2,4,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[8,4,6,1,3,2,5,7]=>[1,5,3,8,6,7,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[4,2,8,6,7,3,1,5]=>[5,7,1,3,2,6,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[7,4,3,8,2,1,5,6]=>[2,5,6,1,7,8,4,3]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[4,7,5,8,1,6,3,2]=>[5,2,4,1,8,3,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,2,5,1,6,7,8,3]=>[5,7,4,8,3,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[2,4,8,5,7,1,3,6]=>[7,5,1,4,2,8,6,3]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[7,8,2,5,6,1,4,3]=>[2,1,7,4,3,8,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[2,6,7,3,5,1,8,4]=>[7,3,2,6,4,8,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[6,5,7,2,8,4,3,1]=>[3,4,2,7,1,5,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[2,7,6,1,4,5,8,3]=>[7,2,3,8,5,4,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,4,3,5,1,6,8,2]=>[2,5,6,4,8,3,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,2,5,8,4,3,7,1]=>[3,7,4,1,5,6,2,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,6,7,1,5,4,3,2]=>[1,3,2,8,4,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[2,1,6,5,8,4,7,3]=>[7,8,3,4,1,5,2,6]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[4,8,2,7,6,1,3,5]=>[5,1,7,2,3,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[5,8,4,3,2,7,1,6]=>[4,1,5,6,7,2,8,3]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[6,3,8,2,4,5,7,1]=>[3,6,1,7,5,4,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[5,8,4,2,3,6,1,7]=>[4,1,5,7,6,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[5,8,2,4,3,1,6,7]=>[4,1,7,5,6,8,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,2,1,3,4,7,5,6]=>[1,7,8,6,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[1,2,7,3,5,4,8,6]=>[8,7,2,6,4,5,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[1,3,8,2,6,4,5,7]=>[8,6,1,7,3,5,4,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[1,7,2,3,5,4,8,6]=>[8,2,7,6,4,5,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[1,3,8,2,4,5,7,6]=>[8,6,1,7,5,4,2,3]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[1,8,2,3,5,4,6,7]=>[8,1,7,6,4,5,3,2]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[1,7,8,2,3,6,4,5]=>[8,2,1,7,6,3,5,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[1,7,8,2,5,3,6,4]=>[8,2,1,7,4,6,3,5]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[1,2,8,3,6,4,5,7]=>[8,7,1,6,3,5,4,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[1,8,2,3,6,4,5,7]=>[8,1,7,6,3,5,4,2]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[1,2,8,3,5,4,6,7]=>[8,7,1,6,4,5,3,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[1,5,2,7,8,3,6,4]=>[8,4,7,2,1,6,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[1,3,2,8,4,6,7,5]=>[8,6,7,1,5,3,2,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[1,8,2,3,4,6,7,5]=>[8,1,7,6,5,3,2,4]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[1,7,8,2,4,3,6,5]=>[8,2,1,7,5,6,3,4]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[6,7,3,1,5,2,8,4]=>[3,2,6,8,4,7,1,5]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[6,7,4,5,1,2,8,3]=>[3,2,5,4,8,7,1,6]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[7,3,6,1,5,2,4,8]=>[2,6,3,8,4,7,5,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,4,6,5,1,2,3,8]=>[2,5,3,4,8,7,6,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[6,7,5,4,1,2,8,3]=>[3,2,4,5,8,7,1,6]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[5,6,7,4,1,8,2,3]=>[4,3,2,5,8,1,7,6]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[6,2,1,7,5,3,8,4]=>[3,7,8,2,4,6,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[6,4,8,5,1,2,7,3]=>[3,5,1,4,8,7,2,6]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[5,6,8,4,1,7,2,3]=>[4,3,1,5,8,2,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[4,6,8,5,7,1,2,3]=>[5,3,1,4,2,8,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[4,5,8,6,7,1,2,3]=>[5,4,1,3,2,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[5,2,1,7,6,8,3,4]=>[4,7,8,2,3,1,6,5]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[5,4,7,6,1,8,2,3]=>[4,5,2,3,8,1,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[4,5,7,6,8,1,2,3]=>[5,4,2,3,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,6,7,5,8,1,2,3]=>[5,3,2,4,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,8,5,6,7,1,2,3]=>[5,1,4,3,2,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[4,7,5,6,8,1,2,3]=>[5,2,4,3,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[4,6,5,7,8,1,2,3]=>[5,3,4,2,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[5,7,4,6,1,8,2,3]=>[4,2,5,3,8,1,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[5,8,4,6,1,7,2,3]=>[4,1,5,3,8,2,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[5,7,3,1,6,8,2,4]=>[4,2,6,8,3,1,7,5]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[5,6,3,1,7,8,2,4]=>[4,3,6,8,2,1,7,5]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,8,3,1,7,6,2,4]=>[4,1,6,8,2,3,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[5,7,4,8,1,6,2,3]=>[4,2,5,1,8,3,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[5,2,1,6,8,7,3,4]=>[4,7,8,3,1,2,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[4,5,6,8,7,1,2,3]=>[5,4,3,1,2,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[4,7,5,8,6,1,2,3]=>[5,2,4,1,3,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[4,6,7,8,5,1,2,3]=>[5,3,2,1,4,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[5,3,7,1,8,6,2,4]=>[4,6,2,8,1,3,7,5]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[5,2,1,7,8,6,3,4]=>[4,7,8,2,1,3,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[5,4,8,7,1,6,2,3]=>[4,5,1,2,8,3,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[4,6,8,7,5,1,2,3]=>[5,3,1,2,4,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[4,7,8,6,5,1,2,3]=>[5,2,1,3,4,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[4,8,7,6,5,1,2,3]=>[5,1,2,3,4,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,4,6,3,7,5,1,8]=>[7,5,3,6,2,4,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[4,2,7,3,6,5,1,8]=>[5,7,2,6,3,4,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[2,5,3,1,6,4,8,7]=>[7,4,6,8,3,5,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,5,3,7,6,4,1,8]=>[7,4,6,2,3,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,2,7,6,3,5,1,8]=>[5,7,2,3,6,4,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[2,6,3,7,5,4,1,8]=>[7,3,6,2,4,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,3,1,8,6,5,4,7]=>[7,6,8,1,3,4,5,2]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,6,8,2,1,4,5,7]=>[6,3,1,7,8,5,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[1,2,6,3,8,7,4,5]=>[8,7,3,6,1,2,5,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[2,1,3,8,7,5,4,6]=>[7,8,6,1,2,4,5,3]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[1,2,3,8,6,4,7,5]=>[8,7,6,1,3,5,2,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[1,2,3,7,4,8,6,5]=>[8,7,6,2,5,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,2,7,6,3,8,4,5]=>[8,7,2,3,6,1,5,4]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[1,2,3,6,4,8,7,5]=>[8,7,6,3,5,1,2,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[2,1,3,8,5,4,7,6]=>[7,8,6,1,4,5,2,3]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[2,1,8,4,3,5,7,6]=>[7,8,1,5,6,4,2,3]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[5,4,2,8,3,1,6,7]=>[4,5,7,1,6,8,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,5,8,2,4,1,6,7]=>[6,4,1,7,5,8,3,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[2,5,4,8,3,1,6,7]=>[7,4,5,1,6,8,3,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[1,5,2,8,7,3,4,6]=>[8,4,7,1,2,6,5,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,2,7,3,6,4,8,5]=>[8,7,2,6,3,5,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[1,2,8,6,3,7,4,5]=>[8,7,1,3,6,2,5,4]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[1,2,7,3,4,8,6,5]=>[8,7,2,6,5,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[1,2,6,3,8,4,7,5]=>[8,7,3,6,1,5,2,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,5,2,3,8,7,4,6]=>[8,4,7,6,1,2,5,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[4,2,1,8,3,7,5,6]=>[5,7,8,1,6,2,4,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[1,8,4,2,7,3,5,6]=>[8,1,5,7,2,6,4,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,2,8,6,3,4,7,5]=>[8,7,1,3,6,5,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,2,7,3,8,4,6,5]=>[8,7,2,6,1,5,3,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[2,5,3,8,1,6,4,7]=>[7,4,6,1,8,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[2,6,4,7,1,5,3,8]=>[7,3,5,2,8,4,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[2,6,5,7,1,4,3,8]=>[7,3,4,2,8,5,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,8,5,7,1,2,6,4]=>[6,1,4,2,8,7,3,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[3,4,8,6,1,2,5,7]=>[6,5,1,3,8,7,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[2,5,7,1,4,8,6,3]=>[7,4,2,8,5,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,4,3,8,1,6,5,7]=>[7,5,6,1,8,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,5,7,6,1,2,4,8]=>[6,4,2,3,8,7,5,1]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,8,5,7,1,6,4,2]=>[6,1,4,2,8,3,5,7]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[3,2,8,5,6,1,7,4]=>[6,7,1,4,3,8,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,8,5,7,2,1,6,4]=>[6,1,4,2,7,8,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[3,4,8,6,2,1,5,7]=>[6,5,1,3,7,8,4,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,5,7,6,2,1,4,8]=>[6,4,2,3,7,8,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[5,8,6,7,2,1,4,3]=>[4,1,3,2,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,8,6,7,2,1,5,3]=>[5,1,3,2,7,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,3,8,5,1,6,7,2]=>[5,6,1,4,8,3,2,7]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[5,8,6,7,1,4,3,2]=>[4,1,3,2,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[4,2,8,5,1,7,6,3]=>[5,7,1,4,8,2,3,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[3,4,2,8,5,6,1,7]=>[6,5,7,1,4,3,8,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[3,2,5,7,6,1,4,8]=>[6,7,4,2,3,8,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[4,8,6,7,1,3,2,5]=>[5,1,3,2,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,8,6,7,1,2,5,3]=>[5,1,3,2,8,7,4,6]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[4,8,6,7,2,5,3,1]=>[5,1,3,2,7,4,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[4,3,8,5,1,2,6,7]=>[5,6,1,4,8,7,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[4,2,6,7,5,1,3,8]=>[5,7,3,2,4,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[3,8,5,7,1,4,2,6]=>[6,1,4,2,8,5,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[3,8,4,7,1,5,2,6]=>[6,1,5,2,8,4,7,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,5,2,8,4,6,1,7]=>[6,4,7,1,5,3,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,5,1,7,4,6,2,8]=>[6,4,8,2,5,3,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,8,4,7,2,5,1,6]=>[6,1,5,2,7,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,1,2,6,7,5,3,8]=>[5,8,7,3,2,4,6,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[4,2,6,7,5,3,8,1]=>[5,7,3,2,4,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[4,8,6,7,3,1,2,5]=>[5,1,3,2,6,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[3,1,5,7,6,2,4,8]=>[6,8,4,2,3,7,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[3,4,1,7,5,6,2,8]=>[6,5,8,2,4,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[4,1,7,5,2,8,6,3]=>[5,8,2,4,7,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[4,1,6,7,5,2,3,8]=>[5,8,3,2,4,7,6,1]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,8,6,7,2,3,1,5]=>[5,1,3,2,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[5,8,6,7,4,2,3,1]=>[4,1,3,2,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[4,8,6,7,3,1,5,2]=>[5,1,3,2,6,8,4,7]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,1,6,7,5,3,8,2]=>[5,8,3,2,4,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[4,1,7,5,3,2,8,6]=>[5,8,2,4,6,7,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[4,2,8,5,3,1,7,6]=>[5,7,1,4,6,8,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[4,2,1,6,7,5,3,8]=>[5,7,8,3,2,4,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[4,8,6,7,3,2,1,5]=>[5,1,3,2,6,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[5,8,6,7,4,2,1,3]=>[4,1,3,2,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[7,3,5,8,1,4,2,6]=>[2,6,4,1,8,5,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[3,8,7,6,1,4,2,5]=>[6,1,2,3,8,5,7,4]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[5,1,8,3,6,7,2,4]=>[4,8,1,6,3,2,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[1,4,7,8,5,6,2,3]=>[8,5,2,1,4,3,7,6]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[3,4,7,1,5,8,6,2]=>[6,5,2,8,4,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,6,1,4,7,8,5,2]=>[6,3,8,5,2,1,4,7]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[1,6,8,4,7,5,2,3]=>[8,3,1,5,2,4,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[6,8,1,3,5,7,2,4]=>[3,1,8,6,4,2,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[7,6,1,4,3,8,2,5]=>[2,3,8,5,6,1,7,4]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[3,8,1,6,5,4,2,7]=>[6,1,8,3,4,5,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[4,1,3,7,5,8,2,6]=>[5,8,6,2,4,1,7,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[6,1,7,3,8,4,2,5]=>[3,8,2,6,1,5,7,4]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[7,1,8,6,3,5,2,4]=>[2,8,1,3,6,4,7,5]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[3,1,7,6,5,8,4,2]=>[6,8,2,3,4,1,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[8,2,7,6,5,3,4,1]=>[1,7,2,3,4,6,5,8]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[8,4,2,6,7,5,3,1]=>[1,5,7,3,2,4,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[4,8,1,6,7,5,3,2]=>[5,1,8,3,2,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,4,1,6,8,2,5,3]=>[2,5,8,3,1,7,4,6]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[1,3,8,6,2,7,5,4]=>[8,6,1,3,7,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,1,3,2,7,8,4,5]=>[3,8,6,7,2,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,8,6,2,5,3,4,7]=>[8,1,3,7,4,6,5,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[4,7,2,6,8,1,5,3]=>[5,2,7,3,1,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[8,7,3,6,4,5,2,1]=>[1,2,6,3,5,4,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[5,7,8,6,2,1,4,3]=>[4,2,1,3,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[2,7,4,1,6,8,3,5]=>[7,2,5,8,3,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[3,7,2,4,5,1,6,8]=>[6,2,7,5,4,8,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[1,8,6,4,5,2,3,7]=>[8,1,3,5,4,7,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,8,4,6,5,1,3,7]=>[7,1,5,3,4,8,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[3,4,1,7,5,2,6,8]=>[6,5,8,2,4,7,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[7,5,8,6,1,2,4,3]=>[2,4,1,3,8,7,5,6]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[5,6,8,7,3,1,4,2]=>[4,3,1,2,6,8,5,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[2,5,4,3,6,8,1,7]=>[7,4,5,6,3,1,8,2]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[3,8,5,4,6,2,1,7]=>[6,1,4,5,3,7,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[4,8,2,1,3,7,5,6]=>[5,1,7,8,6,2,4,3]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[6,4,1,2,7,5,8,3]=>[3,5,8,7,2,4,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[4,1,8,3,6,7,5,2]=>[5,8,1,6,3,2,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[8,3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[4,3,7,8,5,1,6,2]=>[5,6,2,1,4,8,3,7]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[5,4,8,2,7,6,1,3]=>[4,5,1,7,2,3,8,6]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[1,2,7,3,6,5,8,4]=>[8,7,2,6,3,4,1,5]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,8,7,6,3,4,1,5]=>[7,1,2,3,6,5,8,4]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[5,8,2,6,3,4,1,7]=>[4,1,7,3,6,5,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,1,7,5,8,6,2,3]=>[5,8,2,4,1,3,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[5,1,7,8,4,3,6,2]=>[4,8,2,1,5,6,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[8,2,7,5,4,3,6,1]=>[1,7,2,4,5,6,3,8]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[6,3,8,1,4,7,5,2]=>[3,6,1,8,5,2,4,7]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[3,8,4,5,6,1,2,7]=>[6,1,5,4,3,8,7,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[1,4,3,5,7,8,2,6]=>[8,5,6,4,2,1,7,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[6,5,8,7,1,3,4,2]=>[3,4,1,2,8,6,5,7]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,6,7,2,4,8,1,5]=>[6,3,2,7,5,1,8,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[1,5,2,7,4,3,8,6]=>[8,4,7,2,5,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,8,5,6,4,3,1,7]=>[7,1,4,3,5,6,8,2]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[1,8,6,5,4,3,2,7]=>[8,1,3,4,5,6,7,2]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[6,1,5,2,8,4,7,3]=>[3,8,4,7,1,5,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,6,1,8,5,7,2,3]=>[5,3,8,1,4,2,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[4,7,1,2,8,5,6,3]=>[5,2,8,7,1,4,3,6]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[1,4,7,2,8,5,6,3]=>[8,5,2,7,1,4,3,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[1,7,3,5,8,6,2,4]=>[8,2,6,4,1,3,7,5]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[7,3,5,8,6,1,2,4]=>[2,6,4,1,3,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[3,6,8,1,5,7,2,4]=>[6,3,1,8,4,2,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[3,4,6,5,8,1,7,2]=>[6,5,3,4,1,8,2,7]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[6,8,1,5,7,2,3,4]=>[3,1,8,4,2,7,6,5]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[7,1,2,5,8,6,3,4]=>[2,8,7,4,1,3,6,5]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[1,7,2,5,8,6,3,4]=>[8,2,7,4,1,3,6,5]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[1,7,6,8,2,3,5,4]=>[8,2,3,1,7,6,4,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,6,8,1,2,3,5,4]=>[2,3,1,8,7,6,4,5]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[2,7,1,5,8,6,3,4]=>[7,2,8,4,1,3,6,5]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[2,4,7,1,8,5,6,3]=>[7,5,2,8,1,4,3,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[4,7,5,8,3,1,6,2]=>[5,2,4,1,6,8,3,7]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,7,2,1,8,5,6,3]=>[5,2,7,8,1,4,3,6]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[7,6,8,2,1,3,5,4]=>[2,3,1,7,8,6,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[1,2,7,6,8,3,5,4]=>[8,7,2,3,1,6,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,7,6,8,2,1,5,4]=>[6,2,3,1,7,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[7,4,2,1,6,8,5,3]=>[2,5,7,8,3,1,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,7,4,1,8,5,3,2]=>[3,2,5,8,1,4,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[6,7,4,3,1,8,5,2]=>[3,2,5,6,8,1,4,7]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,7,4,1,6,8,5,3]=>[7,2,5,8,3,1,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,3,7,6,8,1,5,4]=>[7,6,2,3,1,8,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[7,4,2,6,8,5,1,3]=>[2,5,7,3,1,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[7,3,2,5,8,6,1,4]=>[2,6,7,4,1,3,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[3,1,7,6,8,2,5,4]=>[6,8,2,3,1,7,4,5]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[3,7,6,8,1,2,5,4]=>[6,2,3,1,8,7,4,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[1,3,7,6,8,2,5,4]=>[8,6,2,3,1,7,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,7,4,2,6,8,5,3]=>[8,2,5,7,3,1,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[7,4,1,2,6,8,5,3]=>[2,5,8,7,3,1,4,6]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,1,4,2,8,5,6,3]=>[2,8,5,7,1,4,3,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,1,8,2,5,4,6,3]=>[2,8,1,7,4,5,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,3,8,4,6,1,5,2]=>[2,6,1,5,3,8,4,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,2,8,1,6,4,5,3]=>[2,7,1,8,3,5,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[7,1,6,8,5,4,2,3]=>[2,8,3,1,4,5,7,6]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,1,2,6,8,5,4,3]=>[2,8,7,3,1,4,5,6]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[1,7,2,6,8,5,4,3]=>[8,2,7,3,1,4,5,6]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[1,7,6,8,3,2,5,4]=>[8,2,3,1,6,7,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[7,6,8,3,1,2,5,4]=>[2,3,1,6,8,7,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,1,5,8,6,3,2,4]=>[2,8,4,1,3,6,7,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[7,2,5,8,6,3,1,4]=>[2,7,4,1,3,6,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,6,7,1,8,5,4,2]=>[6,3,2,8,1,4,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[7,2,6,8,5,4,1,3]=>[2,7,3,1,4,5,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,6,8,2,3,1,5,4]=>[2,3,1,7,6,8,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[2,7,6,8,3,1,5,4]=>[7,2,3,1,6,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[2,7,1,6,8,5,4,3]=>[7,2,8,3,1,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[6,7,3,1,8,5,4,2]=>[3,2,6,8,1,4,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[6,7,1,8,5,4,3,2]=>[3,2,8,1,4,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[7,2,1,6,8,5,4,3]=>[2,7,8,3,1,4,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[7,6,8,3,2,1,5,4]=>[2,3,1,6,7,8,4,5]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[4,7,8,5,6,1,3,2]=>[5,2,1,4,3,8,6,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,6,5,8,7,1,3,2]=>[5,3,4,1,2,8,6,7]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[5,6,4,8,1,2,7,3]=>[4,3,5,1,8,7,2,6]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[8,1,5,6,7,2,4,3]=>[1,8,4,3,2,7,5,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,4,5,1,8,2,7,3]=>[3,5,4,8,1,7,2,6]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[5,4,6,7,1,2,8,3]=>[4,5,3,2,8,7,1,6]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,3,6,7,2,1,5,8]=>[5,6,3,2,7,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[5,3,6,7,1,4,2,8]=>[4,6,3,2,8,5,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[8,1,4,6,7,3,2,5]=>[1,8,5,3,2,6,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,1,3,6,7,4,5,2]=>[1,8,6,3,2,5,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,2,1,6,8,4,5,3]=>[2,7,8,3,1,5,4,6]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[5,2,6,7,1,4,8,3]=>[4,7,3,2,8,5,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[4,2,6,7,3,1,8,5]=>[5,7,3,2,6,8,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[6,2,4,1,5,8,7,3]=>[3,7,5,8,4,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,2,1,5,4,8,6,3]=>[2,7,8,4,5,1,3,6]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[8,1,4,5,3,7,2,6]=>[1,8,5,4,6,2,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,3,1,5,4,8,2,6]=>[2,6,8,4,5,1,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,3,4,1,5,8,2,7]=>[3,6,5,8,4,1,7,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[5,3,4,2,1,8,6,7]=>[4,6,5,7,8,1,3,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[4,3,5,2,7,1,6,8]=>[5,6,4,7,2,8,3,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,6,3,8,1,4,2,7]=>[4,3,6,1,8,5,7,2]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[8,1,7,2,4,5,6,3]=>[1,8,2,7,5,4,3,6]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[7,6,1,2,4,5,8,3]=>[2,3,8,7,5,4,1,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[4,7,8,2,3,1,6,5]=>[5,2,1,7,6,8,3,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[5,6,2,8,1,4,7,3]=>[4,3,7,1,8,5,2,6]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[6,5,2,1,3,7,8,4]=>[3,4,7,8,6,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,5,1,3,2,6,8,4]=>[2,4,8,6,7,3,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,1,6,3,2,5,7,4]=>[1,8,3,6,7,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,4,1,3,5,2,8,6]=>[2,5,8,6,4,7,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,4,2,3,1,6,8,7]=>[4,5,7,6,8,3,1,2]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,3,1,4,5,6,2,8]=>[2,6,8,5,4,3,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,1,4,3,5,6,2,7]=>[1,8,5,6,4,3,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[6,2,3,1,5,7,8,4]=>[3,7,6,8,4,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[7,8,4,2,1,6,5,3]=>[2,1,5,7,8,3,4,6]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[7,8,4,2,1,5,6,3]=>[2,1,5,7,8,4,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[6,2,3,4,8,7,1,5]=>[3,7,6,5,1,2,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[6,2,3,4,7,8,1,5]=>[3,7,6,5,2,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[7,8,3,4,6,2,1,5]=>[2,1,6,5,3,7,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,8,3,6,4,2,1,5]=>[2,1,6,3,5,7,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[7,8,3,5,6,2,1,4]=>[2,1,6,4,3,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[6,2,3,8,7,5,1,4]=>[3,7,6,1,2,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[6,2,3,7,8,5,1,4]=>[3,7,6,2,1,4,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[6,3,2,5,8,7,1,4]=>[3,6,7,4,1,2,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[6,3,2,8,4,7,1,5]=>[3,6,7,1,5,2,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[6,4,3,8,7,5,1,2]=>[3,5,6,1,2,4,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[6,2,4,1,7,3,5,8]=>[3,7,5,8,2,6,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[6,3,2,7,4,8,1,5]=>[3,6,7,2,5,1,8,4]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[5,7,2,3,6,1,8,4]=>[4,2,7,6,3,8,1,5]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,8,2,3,6,1,7,4]=>[4,1,7,6,3,8,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[4,7,5,8,3,2,1,6]=>[5,2,4,1,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[4,5,6,8,3,2,1,7]=>[5,4,3,1,6,7,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,6,8,5,3,2,1,7]=>[5,3,1,4,6,7,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[5,6,1,4,2,3,7,8]=>[4,3,8,5,7,6,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[5,6,8,4,3,7,1,2]=>[4,3,1,5,6,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[5,6,1,4,2,3,8,7]=>[4,3,8,5,7,6,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[5,2,8,3,4,1,7,6]=>[4,7,1,6,5,8,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[4,5,8,6,3,2,1,7]=>[5,4,1,3,6,7,8,2]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[4,6,5,8,3,2,1,7]=>[5,3,4,1,6,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[6,2,3,4,5,8,1,7]=>[3,7,6,5,4,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[5,6,2,4,1,7,8,3]=>[4,3,7,5,8,2,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[5,7,2,4,1,8,6,3]=>[4,2,7,5,8,1,3,6]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[5,2,7,4,1,6,8,3]=>[4,7,2,5,8,3,1,6]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[5,4,1,3,7,2,6,8]=>[4,5,8,6,2,7,3,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[5,8,6,4,3,7,1,2]=>[4,1,3,5,6,2,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[5,8,1,4,2,3,7,6]=>[4,1,8,5,7,6,2,3]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[4,8,6,5,3,2,1,7]=>[5,1,3,4,6,7,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[5,4,7,8,3,2,1,6]=>[4,5,2,1,6,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[5,4,8,7,3,2,1,6]=>[4,5,1,2,6,7,8,3]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[4,6,8,7,3,2,1,5]=>[5,3,1,2,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[4,6,7,8,3,2,1,5]=>[5,3,2,1,6,7,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,7,6,8,3,2,1,5]=>[5,2,3,1,6,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[4,7,8,5,3,2,1,6]=>[5,2,1,4,6,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[5,7,1,3,4,2,6,8]=>[4,2,8,6,5,7,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,1,8,4,2,3,6,7]=>[4,8,1,5,7,6,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[5,1,7,4,2,3,6,8]=>[4,8,2,5,7,6,3,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[4,8,7,5,3,2,1,6]=>[5,1,2,4,6,7,8,3]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[4,7,8,6,3,2,1,5]=>[5,2,1,3,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[4,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[4,8,2,6,3,7,5,1]=>[5,1,7,3,6,2,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[4,3,8,7,2,5,1,6]=>[5,6,1,2,7,4,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[5,8,4,3,7,1,6,2]=>[4,1,5,6,2,8,3,7]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[6,8,1,2,4,3,5,7]=>[3,1,8,7,5,6,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[4,8,7,6,3,1,2,5]=>[5,1,2,3,6,8,7,4]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[5,8,4,7,3,1,2,6]=>[4,1,5,2,6,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[4,3,8,2,7,5,6,1]=>[5,6,1,7,2,4,3,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[1,4,3,8,2,6,5,7]=>[8,5,6,1,7,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[4,3,2,8,1,6,5,7]=>[5,6,7,1,8,3,4,2]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,1,3,8,2,6,5,7]=>[5,8,6,1,7,3,4,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[4,1,8,3,7,5,6,2]=>[5,8,1,6,2,4,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,1,8,7,3,5,2,6]=>[5,8,1,2,6,4,7,3]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[7,3,8,1,5,4,6,2]=>[2,6,1,8,4,5,3,7]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[3,4,8,7,2,5,1,6]=>[6,5,1,2,7,4,8,3]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,2,4,3,8,6,5,7]=>[8,7,5,6,1,3,4,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[3,4,2,1,8,6,5,7]=>[6,5,7,8,1,3,4,2]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[3,4,1,8,2,6,5,7]=>[6,5,8,1,7,3,4,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,1,7,8,5,3,2,6]=>[5,8,2,1,4,6,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[3,7,6,8,4,2,1,5]=>[6,2,3,1,5,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[3,7,8,6,2,4,1,5]=>[6,2,1,3,7,5,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,2,3,8,1,6,5,7]=>[5,7,6,1,8,3,4,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[1,4,7,8,5,3,2,6]=>[8,5,2,1,4,6,7,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,3,7,8,5,2,1,6]=>[5,6,2,1,4,7,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[7,3,8,2,6,4,5,1]=>[2,6,1,7,3,5,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[3,1,2,4,8,6,5,7]=>[6,8,7,5,1,3,4,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[3,1,4,8,2,6,5,7]=>[6,8,5,1,7,3,4,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[7,3,4,8,5,1,6,2]=>[2,6,5,1,4,8,3,7]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[6,7,2,8,3,5,4,1]=>[3,2,7,1,6,4,5,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[1,2,3,4,8,6,5,7]=>[8,7,6,5,1,3,4,2]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[4,8,3,6,2,1,5,7]=>[5,1,6,3,7,8,4,2]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[3,5,8,2,6,1,4,7]=>[6,4,1,7,3,8,5,2]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[5,3,8,7,2,4,6,1]=>[4,6,1,2,7,5,3,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[2,8,4,5,7,3,6,1]=>[7,1,5,4,2,6,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[2,4,5,7,3,8,1,6]=>[7,5,4,2,6,1,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[4,8,1,2,5,6,3,7]=>[5,1,8,7,4,3,6,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[5,2,1,6,3,8,4,7]=>[4,7,8,3,6,1,5,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[5,6,4,8,1,3,2,7]=>[4,3,5,1,8,6,7,2]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[6,5,4,3,8,2,1,7]=>[3,4,5,6,1,7,8,2]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[5,4,3,7,2,8,1,6]=>[4,5,6,2,7,1,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[4,6,8,3,7,2,5,1]=>[5,3,1,6,2,7,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,7,3,4,1,2,8,6]=>[4,2,6,5,8,7,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[8,5,4,7,6,2,1,3]=>[1,4,5,2,3,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[4,7,8,3,6,1,5,2]=>[5,2,1,6,3,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,3,8,6,4,7,5,2]=>[8,6,1,3,5,2,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[8,6,2,7,4,1,5,3]=>[1,3,7,2,5,8,4,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,6,2,1,4,3,8,5]=>[2,3,7,8,5,6,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,5,7,3,2,6,8,4]=>[8,4,2,6,7,3,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[3,2,6,8,5,7,4,1]=>[6,7,3,1,4,2,5,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[1,6,4,7,2,3,8,5]=>[8,3,5,2,7,6,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,1,7,5,2,8,4,6]=>[6,8,2,4,7,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,5,7,4,1,8,3,6]=>[7,4,2,5,8,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[4,2,6,1,7,8,3,5]=>[5,7,3,8,2,1,6,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,2,7,6,3,8,1,5]=>[5,7,2,3,6,1,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[3,7,1,8,4,2,5,6]=>[6,2,8,1,5,7,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[4,2,1,3,7,5,8,6]=>[5,7,8,6,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[8,1,3,7,4,2,6,5]=>[1,8,6,2,5,7,3,4]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[8,4,3,7,6,2,1,5]=>[1,5,6,2,3,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[3,6,2,8,7,1,5,4]=>[6,3,7,1,2,8,4,5]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[7,3,2,8,1,6,5,4]=>[2,6,7,1,8,3,4,5]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[3,8,7,2,6,5,4,1]=>[6,1,2,7,3,4,5,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[4,2,7,8,6,1,5,3]=>[5,7,2,1,3,8,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[6,8,2,4,7,1,5,3]=>[3,1,7,5,2,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[5,2,1,8,7,3,6,4]=>[4,7,8,1,2,6,3,5]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[8,2,1,6,3,7,5,4]=>[1,7,8,3,6,2,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[6,8,3,1,7,5,2,4]=>[3,1,6,8,2,4,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[6,2,8,1,5,7,4,3]=>[3,7,1,8,4,2,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[5,7,8,2,6,1,4,3]=>[4,2,1,7,3,8,5,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[8,7,2,5,6,4,3,1]=>[1,2,7,4,3,5,6,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[7,2,6,8,1,5,4,3]=>[2,7,3,1,8,4,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[1,2,7,8,5,6,4,3]=>[8,7,2,1,4,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[7,4,8,1,6,2,5,3]=>[2,5,1,8,3,7,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[8,2,1,7,6,5,4,3]=>[1,7,8,2,3,4,5,6]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[8,6,7,5,1,4,3,2]=>[1,3,2,4,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[7,8,6,5,4,1,3,2]=>[2,1,3,4,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[5,8,4,3,2,1,6,7]=>[4,1,5,6,7,8,3,2]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[5,8,3,6,2,1,4,7]=>[4,1,6,3,7,8,5,2]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[3,8,7,6,2,1,4,5]=>[6,1,2,3,7,8,5,4]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[5,8,4,2,6,1,3,7]=>[4,1,5,7,3,8,6,2]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[5,8,3,2,6,1,4,7]=>[4,1,6,7,3,8,5,2]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[4,8,3,2,5,1,7,6]=>[5,1,6,7,4,8,2,3]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[4,3,7,2,5,1,8,6]=>[5,6,2,7,4,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[3,8,7,2,5,1,4,6]=>[6,1,2,7,4,8,5,3]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[6,4,2,7,5,1,3,8]=>[3,5,7,2,4,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,3,2,6,7,1,4,8]=>[4,6,7,3,2,8,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[4,2,7,6,5,1,3,8]=>[5,7,2,3,4,8,6,1]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[2,8,7,6,5,1,3,4]=>[7,1,2,3,4,8,6,5]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[6,4,7,3,1,5,8,2]=>[3,5,2,6,8,4,1,7]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[5,4,7,3,1,8,6,2]=>[4,5,2,6,8,1,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,4,3,7,1,5,8,2]=>[3,5,6,2,8,4,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,3,7,8,1,4,5,2]=>[3,6,2,1,8,5,4,7]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[4,3,7,6,1,5,8,2]=>[5,6,2,3,8,4,1,7]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,8,7,6,1,4,5,2]=>[6,1,2,3,8,5,4,7]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[6,5,4,2,1,7,3,8]=>[3,4,5,7,8,2,6,1]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[6,4,7,2,1,5,3,8]=>[3,5,2,7,8,4,6,1]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[5,3,7,2,1,4,8,6]=>[4,6,2,7,8,5,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[3,8,7,2,1,4,5,6]=>[6,1,2,7,8,5,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,5,2,7,1,4,3,8]=>[3,4,7,2,8,5,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[5,8,2,6,1,4,3,7]=>[4,1,7,3,8,5,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,4,2,7,1,5,3,8]=>[3,5,7,2,8,4,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[5,4,2,6,1,8,3,7]=>[4,5,7,3,8,1,6,2]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[4,3,2,6,1,5,8,7]=>[5,6,7,3,8,4,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[3,2,7,6,1,4,5,8]=>[6,7,2,3,8,5,4,1]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[6,5,4,1,8,7,3,2]=>[3,4,5,8,1,2,6,7]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,8,4,1,6,7,3,2]=>[4,1,5,8,3,2,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[5,4,7,1,6,8,3,2]=>[4,5,2,8,3,1,6,7]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[5,3,2,1,6,4,8,7]=>[4,6,7,8,3,5,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[3,8,2,1,5,4,6,7]=>[6,1,7,8,4,5,3,2]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[6,2,7,1,5,4,3,8]=>[3,7,2,8,4,5,6,1]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[5,2,7,1,6,4,3,8]=>[4,7,2,8,3,5,6,1]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[3,2,7,1,5,4,6,8]=>[6,7,2,8,4,5,3,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[2,8,7,1,5,4,3,6]=>[7,1,2,8,4,5,6,3]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[6,5,1,7,8,4,3,2]=>[3,4,8,2,1,5,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[5,8,1,6,7,4,3,2]=>[4,1,8,3,2,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[6,4,1,7,5,8,3,2]=>[3,5,8,2,4,1,6,7]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,4,1,6,7,8,3,2]=>[4,5,8,3,2,1,6,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[6,3,1,7,5,4,8,2]=>[3,6,8,2,4,5,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[4,3,1,6,5,7,8,2]=>[5,6,8,3,4,2,1,7]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[5,2,1,6,7,4,3,8]=>[4,7,8,3,2,5,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[4,2,1,6,5,7,3,8]=>[5,7,8,3,4,2,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[2,8,1,6,5,4,3,7]=>[7,1,8,3,4,5,6,2]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[6,1,7,8,5,4,3,2]=>[3,8,2,1,4,5,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[4,1,7,6,5,8,3,2]=>[5,8,2,3,4,1,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[4,5,8,1,2,6,3,7]=>[5,4,1,8,7,3,6,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[1,4,5,7,2,6,3,8]=>[8,5,4,2,7,3,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,7,3,5,6,2,4,8]=>[8,2,6,4,3,7,5,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[8,1,3,5,7,2,4,6]=>[1,8,6,4,2,7,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[3,6,8,1,7,2,4,5]=>[6,3,1,8,2,7,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,4,5,6,8,1,7,2]=>[6,5,4,3,1,8,2,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[4,5,8,2,6,7,1,3]=>[5,4,1,7,3,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[8,2,3,5,6,7,1,4]=>[1,7,6,4,3,2,8,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[1,7,2,3,5,4,6,8]=>[8,2,7,6,4,5,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[8,1,2,3,5,4,6,7]=>[1,8,7,6,4,5,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[2,7,8,1,3,5,4,6]=>[7,2,1,8,6,4,5,3]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[2,7,8,3,5,6,1,4]=>[7,2,1,6,4,3,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[2,4,5,7,8,1,6,3]=>[7,5,4,2,1,8,3,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[4,5,8,1,7,6,3,2]=>[5,4,1,8,2,3,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[4,5,8,7,2,1,6,3]=>[5,4,1,2,7,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[8,7,3,5,6,2,1,4]=>[1,2,6,4,3,7,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,7,2,1,3,5,4,6]=>[1,2,7,8,6,4,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[3,6,8,7,2,1,5,4]=>[6,3,1,2,7,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[8,6,4,1,7,5,3,2]=>[1,3,5,8,2,4,6,7]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[7,6,4,3,1,8,5,2]=>[2,3,5,6,8,1,4,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[2,3,6,7,8,1,5,4]=>[7,6,3,2,1,8,4,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,6,8,1,2,5,4,7]=>[6,3,1,8,7,4,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[1,3,6,7,2,5,4,8]=>[8,6,3,2,7,4,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[7,4,1,8,5,2,3,6]=>[2,5,8,1,4,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[7,1,4,2,8,3,6,5]=>[2,8,5,7,1,6,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,1,8,2,5,3,6,4]=>[2,8,1,7,4,6,3,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[8,1,7,5,4,2,3,6]=>[1,8,2,4,5,7,6,3]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[1,7,2,6,5,4,3,8]=>[8,2,7,3,4,5,6,1]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[1,7,6,3,2,5,4,8]=>[8,2,3,6,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[8,6,3,1,2,5,4,7]=>[1,3,6,8,7,4,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,1,7,6,3,2,4,5]=>[1,8,2,3,6,7,5,4]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[8,2,5,7,6,3,1,4]=>[1,7,4,2,3,6,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[3,6,8,1,7,5,4,2]=>[6,3,1,8,2,4,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[8,2,6,7,5,4,1,3]=>[1,7,3,2,4,5,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[2,7,8,6,3,1,5,4]=>[7,2,1,3,6,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[2,7,8,1,6,5,4,3]=>[7,2,1,8,3,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[7,3,1,8,6,5,4,2]=>[2,6,8,1,3,4,5,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[8,7,2,1,6,5,4,3]=>[1,2,7,8,3,4,5,6]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[8,7,6,3,2,1,5,4]=>[1,2,3,6,7,8,4,5]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[2,1,8,6,3,7,4,5]=>[7,8,1,3,6,2,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[8,6,1,5,2,7,4,3]=>[1,3,8,4,7,2,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[8,5,1,7,4,2,6,3]=>[1,4,8,2,5,7,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,1,7,5,4,3,8,6]=>[7,8,2,4,5,6,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[2,1,8,4,5,3,6,7]=>[7,8,1,5,4,6,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[2,1,7,8,3,6,5,4]=>[7,8,2,1,6,3,4,5]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[2,1,8,5,7,6,3,4]=>[7,8,1,4,2,3,6,5]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[2,1,4,8,5,7,3,6]=>[7,8,5,1,4,2,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,1,5,4,6,8,3,7]=>[7,8,4,5,3,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[8,5,3,1,6,2,4,7]=>[1,4,6,8,3,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,5,1,4,6,8,3,2]=>[2,4,8,5,3,1,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[6,4,1,5,2,3,8,7]=>[3,5,8,4,7,6,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[8,3,7,5,2,6,1,4]=>[1,6,2,4,7,3,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,3,7,4,6,8,1,2]=>[4,6,2,5,3,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[5,8,3,7,6,2,1,4]=>[4,1,6,2,3,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[5,2,4,8,6,3,1,7]=>[4,7,5,1,3,6,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,2,6,3,8,5,1,7]=>[5,7,3,6,1,4,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[4,6,3,2,7,8,1,5]=>[5,3,6,7,2,1,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[3,6,8,7,5,4,1,2]=>[6,3,1,2,4,5,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,5,2,7,4,6,1,3]=>[1,4,7,2,5,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[5,8,2,1,7,6,4,3]=>[4,1,7,8,2,3,5,6]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,3,8,1,5,7,4,2]=>[3,6,1,8,4,2,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[8,3,2,4,1,7,5,6]=>[1,6,7,5,8,2,4,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,4,2,3,1,8,6,5]=>[2,5,7,6,8,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[7,2,4,3,1,5,8,6]=>[2,7,5,6,8,4,1,3]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,8,3,1,5,4,6,2]=>[2,1,6,8,4,5,3,7]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[7,2,8,1,4,6,5,3]=>[2,7,1,8,5,3,4,6]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,2,3,1,4,5,8,7]=>[3,7,6,8,5,4,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[5,6,1,4,3,2,8,7]=>[4,3,8,5,6,7,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[5,7,1,8,3,6,2,4]=>[4,2,8,1,6,3,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,8,1,4,5,3,2,7]=>[3,1,8,5,4,6,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[6,7,1,5,4,3,8,2]=>[3,2,8,4,5,6,1,7]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[8,7,5,1,3,4,2,6]=>[1,2,4,8,6,5,7,3]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[6,5,7,1,3,8,2,4]=>[3,4,2,8,6,1,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,2,6,1,4,7,3,5]=>[1,7,3,8,5,2,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[5,8,1,6,3,7,4,2]=>[4,1,8,3,6,2,5,7]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[8,3,5,6,1,7,4,2]=>[1,6,4,3,8,2,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,5,4,8,2,1,3,6]=>[2,4,5,1,7,8,6,3]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,3,6,5,4,1,8,2]=>[2,6,3,4,5,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[8,3,6,4,5,1,2,7]=>[1,6,3,5,4,8,7,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,3,5,8,1,6,2,4]=>[2,6,4,1,8,3,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[6,3,5,4,1,2,8,7]=>[3,6,4,5,8,7,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[2,6,3,5,1,4,8,7]=>[7,3,6,4,8,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[2,7,8,5,1,6,4,3]=>[7,2,1,4,8,3,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[8,7,3,6,5,1,4,2]=>[1,2,6,3,4,8,5,7]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[2,8,3,4,6,1,5,7]=>[7,1,6,5,3,8,4,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[2,7,4,3,6,1,8,5]=>[7,2,5,6,3,8,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[3,4,7,2,8,1,5,6]=>[6,5,2,7,1,8,4,3]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,3,2,5,7,1,8,6]=>[5,6,7,4,2,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[4,2,3,5,8,1,6,7]=>[5,7,6,4,1,8,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[3,2,8,4,7,1,6,5]=>[6,7,1,5,2,8,3,4]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[8,2,4,7,5,1,6,3]=>[1,7,5,2,4,8,3,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,8,4,7,1,6,5,2]=>[6,1,5,2,8,3,4,7]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[3,2,4,6,1,5,8,7]=>[6,7,5,3,8,4,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,3,4,5,7,6,1,2]=>[1,6,5,4,2,3,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[2,8,4,6,5,7,1,3]=>[7,1,5,3,4,2,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,3,8,4,6,7,1,5]=>[7,6,1,5,3,2,8,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[2,4,3,5,8,7,1,6]=>[7,5,6,4,1,2,8,3]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[3,2,4,5,6,8,1,7]=>[6,7,5,4,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[5,6,8,1,4,2,7,3]=>[4,3,1,8,5,7,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[1,5,7,8,4,6,2,3]=>[8,4,2,1,5,3,7,6]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[1,3,5,7,8,6,2,4]=>[8,6,4,2,1,3,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[3,5,7,8,6,1,2,4]=>[6,4,2,1,3,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,5,1,6,8,2,7,4]=>[6,4,8,3,1,7,2,5]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[3,1,5,6,8,2,7,4]=>[6,8,4,3,1,7,2,5]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[2,3,5,6,8,1,7,4]=>[7,6,4,3,1,8,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[5,6,4,8,2,1,7,3]=>[4,3,5,1,7,8,2,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[5,1,6,3,8,4,7,2]=>[4,8,3,6,1,5,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[2,5,1,6,8,3,7,4]=>[7,4,8,3,1,6,2,5]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,1,2,6,8,3,7,4]=>[4,8,7,3,1,6,2,5]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,7,1,8,6,2,3,4]=>[4,2,8,1,3,7,6,5]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[1,5,2,7,8,6,3,4]=>[8,4,7,2,1,3,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[1,6,7,5,2,8,3,4]=>[8,3,2,4,7,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[6,1,7,5,2,8,3,4]=>[3,8,2,4,7,1,6,5]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,6,7,5,1,8,3,4]=>[7,3,2,4,8,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[5,7,2,8,6,1,3,4]=>[4,2,7,1,3,8,6,5]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[3,5,7,8,6,2,1,4]=>[6,4,2,1,3,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[5,1,7,8,6,3,4,2]=>[4,8,2,1,3,6,5,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[5,1,3,7,8,6,4,2]=>[4,8,6,2,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,2,7,8,4,6,1,3]=>[4,7,2,1,5,3,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[3,2,5,7,8,6,1,4]=>[6,7,4,2,1,3,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[6,2,7,5,1,8,3,4]=>[3,7,2,4,8,1,6,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[1,2,6,7,5,8,3,4]=>[8,7,3,2,4,1,6,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[6,2,7,5,4,1,8,3]=>[3,7,2,4,5,8,1,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[6,7,5,2,4,1,8,3]=>[3,2,4,7,5,8,1,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[6,7,2,5,3,8,1,4]=>[3,2,7,4,6,1,8,5]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[6,7,4,5,2,1,8,3]=>[3,2,5,4,7,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,1,7,8,6,4,3,2]=>[4,8,2,1,3,5,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[2,5,7,8,6,3,1,4]=>[7,4,2,1,3,6,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[5,1,7,8,6,3,2,4]=>[4,8,2,1,3,6,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[6,3,7,5,1,8,2,4]=>[3,6,2,4,8,1,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[1,6,7,5,3,8,2,4]=>[8,3,2,4,6,1,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,6,7,5,4,2,8,3]=>[8,3,2,4,5,7,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[6,7,5,1,4,2,8,3]=>[3,2,4,8,5,7,1,6]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[5,7,8,6,4,1,2,3]=>[4,2,1,3,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[4,1,7,2,6,5,8,3]=>[5,8,2,7,3,4,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[2,4,7,1,5,6,8,3]=>[7,5,2,8,4,3,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[6,7,4,1,5,2,8,3]=>[3,2,5,8,4,7,1,6]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[1,6,7,4,5,2,8,3]=>[8,3,2,5,4,7,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[1,6,3,7,5,8,2,4]=>[8,3,6,2,4,1,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[6,3,1,7,5,8,2,4]=>[3,6,8,2,4,1,7,5]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[2,5,3,7,8,6,1,4]=>[7,4,6,2,1,3,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[6,7,5,4,2,1,8,3]=>[3,2,4,5,7,8,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[6,3,2,7,5,8,1,4]=>[3,6,7,2,4,1,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[6,7,4,2,5,1,8,3]=>[3,2,5,7,4,8,1,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[6,2,7,4,5,1,8,3]=>[3,7,2,5,4,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[6,2,3,7,5,8,1,4]=>[3,7,6,2,4,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[4,5,1,6,3,2,8,7]=>[5,4,8,3,6,7,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[7,5,1,6,3,8,2,4]=>[2,4,8,3,6,1,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[7,5,1,6,3,8,4,2]=>[2,4,8,3,6,1,5,7]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[2,7,6,1,3,8,4,5]=>[7,2,3,8,6,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[7,3,5,1,8,2,4,6]=>[2,6,4,8,1,7,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[2,6,7,4,1,8,3,5]=>[7,3,2,5,8,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,1,6,7,3,8,5,4]=>[7,8,3,2,6,1,4,5]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[3,7,5,4,8,1,6,2]=>[6,2,4,5,1,8,3,7]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[3,7,5,4,8,1,2,6]=>[6,2,4,5,1,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[4,6,1,5,8,7,3,2]=>[5,3,8,4,1,2,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[4,6,1,5,8,7,2,3]=>[5,3,8,4,1,2,7,6]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[4,6,1,5,8,2,7,3]=>[5,3,8,4,1,7,2,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[7,5,1,6,2,8,3,4]=>[2,4,8,3,7,1,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[7,5,1,6,2,8,4,3]=>[2,4,8,3,7,1,5,6]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[4,6,1,5,8,2,3,7]=>[5,3,8,4,1,7,6,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[4,7,1,5,8,3,6,2]=>[5,2,8,4,1,6,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[6,8,5,4,3,2,7,1]=>[3,1,4,5,6,7,2,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[8,9,6,5,4,3,2,1,7]=>[2,1,4,5,6,7,8,9,3]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[5,8,4,3,2,1,7,6]=>[4,1,5,6,7,8,2,3]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[6,5,4,3,1,8,7,2]=>[3,4,5,6,8,1,2,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[8,7,5,4,3,1,6,2]=>[1,2,4,5,6,8,3,7]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[9,7,6,5,4,3,1,8,2]=>[1,3,4,5,6,7,9,2,8]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[3,5,2,6,8,4,1,7]=>[6,4,7,3,1,5,8,2]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[7,5,3,2,8,4,1,6]=>[2,4,6,7,1,5,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[2,4,5,7,3,8,6,1]=>[7,5,4,2,6,1,3,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[2,5,6,1,8,4,3,7]=>[7,4,3,8,1,5,6,2]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[5,3,6,8,1,4,2,7]=>[4,6,3,1,8,5,7,2]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[1,4,5,6,8,3,2,7]=>[8,5,4,3,1,6,7,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[4,5,6,3,8,2,1,7]=>[5,4,3,6,1,7,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[4,5,3,7,2,8,6,1]=>[5,4,6,2,7,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,1,4,7,3,2,8,5]=>[3,8,5,2,6,7,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[5,1,7,3,8,4,2,6]=>[4,8,2,6,1,5,7,3]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[2,5,7,4,1,8,6,3]=>[7,4,2,5,8,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[5,3,7,1,4,8,6,2]=>[4,6,2,8,5,1,3,7]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[6,4,3,1,7,8,5,2]=>[3,5,6,8,2,1,4,7]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,4,1,7,3,8,5,2]=>[3,5,8,2,6,1,4,7]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[5,1,6,3,7,8,4,2]=>[4,8,3,6,2,1,5,7]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[5,6,1,7,8,3,4,2]=>[4,3,8,2,1,6,5,7]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[1,6,3,7,4,8,5,2]=>[8,3,6,2,5,1,4,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[6,7,2,1,4,3,8,5]=>[3,2,7,8,5,6,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[5,6,1,3,2,7,8,4]=>[4,3,8,6,7,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,5,6,3,7,8,4,1]=>[7,4,3,6,2,1,5,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[2,5,6,3,1,7,8,4]=>[7,4,3,6,8,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[2,6,4,7,3,1,8,5]=>[7,3,5,2,6,8,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[6,3,7,2,8,4,1,5]=>[3,6,2,7,1,5,8,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[6,3,2,7,1,8,4,5]=>[3,6,7,2,8,1,5,4]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,5,3,2,1,8,4,6]=>[2,4,6,7,8,1,5,3]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,3,8,4,2,1,5,6]=>[2,6,1,5,7,8,4,3]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[1,3,7,8,6,4,2,5]=>[8,6,2,1,3,5,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[7,3,8,4,6,2,1,5]=>[2,6,1,5,3,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[5,7,3,8,2,1,6,4]=>[4,2,6,1,7,8,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[6,3,7,8,5,2,1,4]=>[3,6,2,1,4,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,6,2,7,8,5,3,1]=>[5,3,7,2,1,4,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[4,6,2,1,7,8,5,3]=>[5,3,7,8,2,1,4,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[7,4,5,8,1,2,6,3]=>[2,5,4,1,8,7,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[6,7,2,1,3,8,5,4]=>[3,2,7,8,6,1,4,5]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[5,1,6,7,8,2,4,3]=>[4,8,3,2,1,7,5,6]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[6,2,7,1,8,5,4,3]=>[3,7,2,8,1,4,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[6,3,1,7,8,5,4,2]=>[3,6,8,2,1,4,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[4,1,3,6,8,2,5,7]=>[5,8,6,3,1,7,4,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,2,3,6,8,1,5,7]=>[5,7,6,3,1,8,4,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[5,3,2,1,8,4,7,6]=>[4,6,7,8,1,5,2,3]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,6,2,4,5,8,3,7]=>[8,3,7,5,4,1,6,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[5,3,2,1,6,8,4,7]=>[4,6,7,8,3,1,5,2]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[6,2,4,5,8,1,3,7]=>[3,7,5,4,1,8,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[2,8,4,1,7,6,3,5]=>[7,1,5,8,2,3,6,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[8,1,4,2,7,3,6,5]=>[1,8,5,7,2,6,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,5,3,2,8,7,4,6]=>[8,4,6,7,1,2,5,3]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[5,8,7,4,1,2,6,3]=>[4,1,2,5,8,7,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[5,8,7,4,6,2,1,3]=>[4,1,2,5,3,7,8,6]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[3,4,2,5,8,6,7,1]=>[6,5,7,4,1,3,2,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,4,8,6,7,1,3,5]=>[7,5,1,3,2,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,3,6,2,8,1,7,5]=>[5,6,3,7,1,8,2,4]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[2,3,5,8,6,7,1,4]=>[7,6,4,1,3,2,8,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[1,2,8,3,5,6,7,4]=>[8,7,1,6,4,3,2,5]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[3,2,6,4,8,1,7,5]=>[6,7,3,5,1,8,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[8,2,1,6,7,3,4,5]=>[1,7,8,3,2,6,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[2,7,8,5,4,1,3,6]=>[7,2,1,4,5,8,6,3]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[4,8,3,1,2,7,6,5]=>[5,1,6,8,7,2,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[3,5,2,7,4,1,8,6]=>[6,4,7,2,5,8,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[8,4,2,3,7,1,5,6]=>[1,5,7,6,2,8,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[2,8,4,7,1,3,5,6]=>[7,1,5,2,8,6,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,2,4,6,7,1,3,5]=>[1,7,5,3,2,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[3,5,2,7,6,1,8,4]=>[6,4,7,2,3,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[5,8,3,2,1,6,7,4]=>[4,1,6,7,8,3,2,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[5,8,7,3,4,6,2,1]=>[4,1,2,6,5,3,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[5,8,2,7,4,1,6,3]=>[4,1,7,2,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,1,4,2,8,7,6,3]=>[4,8,5,7,1,2,3,6]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[4,7,6,5,8,2,1,3]=>[5,2,3,4,1,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[5,3,7,1,6,2,8,4]=>[4,6,2,8,3,7,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[6,3,2,1,8,5,7,4]=>[3,6,7,8,1,4,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,2,4,7,1,8,6,3]=>[4,7,5,2,8,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[8,3,2,4,6,5,1,7]=>[1,6,7,5,3,4,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,2,6,3,4,5,1,7]=>[1,7,3,6,5,4,8,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[5,8,4,7,6,2,3,1]=>[4,1,5,2,3,7,6,8]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[1,3,4,7,5,8,2,6]=>[8,6,5,2,4,1,7,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[1,3,5,2,4,8,7,6]=>[8,6,4,7,5,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,7,1,6,5,8,3,2]=>[5,2,8,3,4,1,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[2,8,5,1,4,7,6,3]=>[7,1,4,8,5,2,3,6]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[4,3,1,5,8,6,7,2]=>[5,6,8,4,1,3,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[4,1,3,5,8,6,7,2]=>[5,8,6,4,1,3,2,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[5,4,2,1,6,8,7,3]=>[4,5,7,8,3,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,8,4,3,2,7,1,5]=>[3,1,5,6,7,2,8,4]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[5,1,3,2,8,6,7,4]=>[4,8,6,7,1,3,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[5,2,3,1,6,8,7,4]=>[4,7,6,8,3,1,2,5]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[5,3,2,1,8,6,7,4]=>[4,6,7,8,1,3,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,2,1,3,6,8,7,4]=>[4,7,8,6,3,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[6,3,8,2,7,4,1,5]=>[3,6,1,7,2,5,8,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[3,5,1,7,8,4,2,6]=>[6,4,8,2,1,5,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[3,4,8,7,2,1,6,5]=>[6,5,1,2,7,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[6,4,3,8,7,2,1,5]=>[3,5,6,1,2,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[8,4,7,2,3,1,5,6]=>[1,5,2,7,6,8,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,4,7,1,3,2,5,6]=>[1,5,2,8,6,7,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,4,7,2,1,3,5,6]=>[1,5,2,7,8,6,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,6,4,2,1,3,7,5]=>[1,3,5,7,8,6,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,6,4,1,3,2,7,5]=>[1,3,5,8,6,7,2,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[3,5,7,2,6,1,8,4]=>[6,4,2,7,3,8,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[6,1,3,8,5,7,2,4]=>[3,8,6,1,4,2,7,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[2,8,1,5,4,7,6,3]=>[7,1,8,4,5,2,3,6]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[1,5,8,7,4,6,2,3]=>[8,4,1,2,5,3,7,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[2,1,7,6,4,5,8,3]=>[7,8,2,3,5,4,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[1,7,2,4,6,5,8,3]=>[8,2,7,5,3,4,1,6]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[3,5,1,7,6,8,2,4]=>[6,4,8,2,3,1,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[5,8,2,6,1,3,7,4]=>[4,1,7,3,8,6,2,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[6,3,5,8,7,2,1,4]=>[3,6,4,1,2,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[2,5,7,8,4,1,6,3]=>[7,4,2,1,5,8,3,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,2,8,5,1,6,7,3]=>[5,7,1,4,8,3,2,6]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[4,1,8,5,2,6,7,3]=>[5,8,1,4,7,3,2,6]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[2,7,1,8,5,4,6,3]=>[7,2,8,1,4,5,3,6]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[5,8,6,2,1,3,7,4]=>[4,1,3,7,8,6,2,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[8,2,4,1,5,6,7,3]=>[1,7,5,8,4,3,2,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[3,4,5,6,8,2,1,7]=>[6,5,4,3,1,7,8,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[3,4,5,7,1,8,6,2]=>[6,5,4,2,8,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,4,5,7,8,2,6,1]=>[6,5,4,2,1,7,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,4,6,2,8,5,1,7]=>[6,5,3,7,1,4,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,4,6,8,1,5,2,7]=>[6,5,3,1,8,4,7,2]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[3,4,7,2,1,8,6,5]=>[6,5,2,7,8,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[3,4,8,2,1,5,6,7]=>[6,5,1,7,8,4,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[3,5,2,6,7,8,1,4]=>[6,4,7,3,2,1,8,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[3,5,2,7,8,4,6,1]=>[6,4,7,2,1,5,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[3,5,2,8,4,1,6,7]=>[6,4,7,1,5,8,3,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[3,5,6,2,8,4,1,7]=>[6,4,3,7,1,5,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,5,6,8,4,1,2,7]=>[6,4,3,1,5,8,7,2]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,5,7,2,4,8,6,1]=>[6,4,2,7,5,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,5,7,2,8,4,6,1]=>[6,4,2,7,1,5,3,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,5,7,8,4,1,6,2]=>[6,4,2,1,5,8,3,7]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[3,6,2,1,7,8,5,4]=>[6,3,7,8,2,1,4,5]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[3,6,2,1,8,5,4,7]=>[6,3,7,8,1,4,5,2]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[3,6,7,2,4,8,5,1]=>[6,3,2,7,5,1,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,6,7,2,8,5,4,1]=>[6,3,2,7,1,4,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,6,7,8,4,5,1,2]=>[6,3,2,1,5,4,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[3,6,8,2,4,5,1,7]=>[6,3,1,7,5,4,8,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[3,7,2,1,4,8,6,5]=>[6,2,7,8,5,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[3,7,2,1,8,5,6,4]=>[6,2,7,8,1,4,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[3,7,2,8,4,5,6,1]=>[6,2,7,1,5,4,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[3,7,8,2,4,5,6,1]=>[6,2,1,7,5,4,3,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[3,8,2,1,4,5,6,7]=>[6,1,7,8,5,4,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[4,1,5,6,7,8,3,2]=>[5,8,4,3,2,1,6,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[4,1,5,7,3,8,6,2]=>[5,8,4,2,6,1,3,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[4,1,6,3,7,8,5,2]=>[5,8,3,6,2,1,4,7]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[4,1,6,3,8,5,2,7]=>[5,8,3,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[4,1,6,7,3,8,5,2]=>[5,8,3,2,6,1,4,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[4,1,6,7,8,5,2,3]=>[5,8,3,2,1,4,7,6]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[4,1,6,8,3,5,2,7]=>[5,8,3,1,6,4,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,1,7,3,2,8,6,5]=>[5,8,2,6,7,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[4,1,7,8,3,5,6,2]=>[5,8,2,1,6,4,3,7]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[4,1,8,3,2,5,6,7]=>[5,8,1,6,7,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[4,5,2,6,7,8,3,1]=>[5,4,7,3,2,1,6,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[4,5,2,6,8,1,3,7]=>[5,4,7,3,1,8,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[4,5,6,3,8,1,2,7]=>[5,4,3,6,1,8,7,2]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,5,6,8,3,1,2,7]=>[5,4,3,1,6,8,7,2]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[4,5,7,3,8,1,6,2]=>[5,4,2,6,1,8,3,7]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[4,5,8,3,2,1,6,7]=>[5,4,1,6,7,8,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[4,6,2,3,7,8,5,1]=>[5,3,7,6,2,1,4,8]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,6,2,3,8,5,1,7]=>[5,3,7,6,1,4,8,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[4,6,2,7,3,8,5,1]=>[5,3,7,2,6,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,6,2,7,8,5,1,3]=>[5,3,7,2,1,4,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[4,6,7,3,2,8,5,1]=>[5,3,2,6,7,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[4,6,8,3,2,5,1,7]=>[5,3,1,6,7,4,8,2]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,7,2,3,1,8,6,5]=>[5,2,7,6,8,1,3,4]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[4,7,2,8,3,5,6,1]=>[5,2,7,1,6,4,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[4,7,8,3,2,5,6,1]=>[5,2,1,6,7,4,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[4,8,2,3,1,5,6,7]=>[5,1,7,6,8,4,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[5,1,2,6,8,4,3,7]=>[4,8,7,3,1,5,6,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[5,1,2,7,4,8,6,3]=>[4,8,7,2,5,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[5,1,2,7,8,4,6,3]=>[4,8,7,2,1,5,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,1,2,8,4,3,6,7]=>[4,8,7,1,5,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[5,1,6,3,8,4,2,7]=>[4,8,3,6,1,5,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[5,1,6,7,4,8,2,3]=>[4,8,3,2,5,1,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[5,1,6,7,8,4,2,3]=>[4,8,3,2,1,5,7,6]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[5,1,8,3,4,2,6,7]=>[4,8,1,6,5,7,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[5,6,2,3,8,4,1,7]=>[4,3,7,6,1,5,8,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[5,6,2,7,8,4,1,3]=>[4,3,7,2,1,5,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[5,6,8,3,4,2,1,7]=>[4,3,1,6,5,7,8,2]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[5,7,2,3,4,8,6,1]=>[4,2,7,6,5,1,3,8]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[5,7,8,3,4,2,6,1]=>[4,2,1,6,5,7,3,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[5,8,2,3,4,1,6,7]=>[4,1,7,6,5,8,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[6,1,2,3,7,8,5,4]=>[3,8,7,6,2,1,4,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[6,1,2,3,8,5,4,7]=>[3,8,7,6,1,4,5,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[6,1,2,7,8,5,4,3]=>[3,8,7,2,1,4,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[6,1,2,8,4,5,3,7]=>[3,8,7,1,5,4,6,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[6,1,7,3,4,8,5,2]=>[3,8,2,6,5,1,4,7]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[6,1,7,3,8,5,4,2]=>[3,8,2,6,1,4,5,7]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[6,1,7,8,4,5,3,2]=>[3,8,2,1,5,4,6,7]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,1,8,3,4,5,2,7]=>[3,8,1,6,5,4,7,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[6,7,2,3,8,5,4,1]=>[3,2,7,6,1,4,5,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[6,7,2,8,4,5,3,1]=>[3,2,7,1,5,4,6,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[6,8,2,3,4,5,1,7]=>[3,1,7,6,5,4,8,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[7,1,2,3,4,8,6,5]=>[2,8,7,6,5,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[7,1,2,8,4,5,6,3]=>[2,8,7,1,5,4,3,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[7,1,8,3,4,5,6,2]=>[2,8,1,6,5,4,3,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[6,4,1,8,2,3,7,5]=>[3,5,8,1,7,6,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[5,8,1,2,4,3,7,6]=>[4,1,8,7,5,6,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[1,3,5,7,2,6,4,8]=>[8,6,4,2,7,3,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[3,5,8,6,1,2,4,7]=>[6,4,1,3,8,7,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,1,6,8,2,4,7,5]=>[6,8,3,1,7,5,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[3,6,2,8,1,5,7,4]=>[6,3,7,1,8,4,2,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[2,6,1,3,8,4,7,5]=>[7,3,8,6,1,5,2,4]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[1,7,5,2,3,4,6,8]=>[8,2,4,7,6,5,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[2,7,5,1,3,8,4,6]=>[7,2,4,8,6,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,2,5,7,4,6,1,3]=>[1,7,4,2,5,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,2,1,3,7,6,4,5]=>[1,7,8,6,2,3,5,4]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,2,5,1,3,7,4,6]=>[1,7,4,8,6,2,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[8,2,7,5,3,1,6,4]=>[1,7,2,4,6,8,3,5]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[8,2,6,5,4,7,1,3]=>[1,7,3,4,5,2,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[7,6,5,2,4,8,1,3]=>[2,3,4,7,5,1,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,8,2,5,3,1,6,4]=>[2,1,7,4,6,8,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,1,8,6,3,2,4,5]=>[2,8,1,3,6,7,5,4]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[6,8,1,5,3,2,4,7]=>[3,1,8,4,6,7,5,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[1,6,7,5,3,2,4,8]=>[8,3,2,4,6,7,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[6,5,1,2,4,8,3,7]=>[3,4,8,7,5,1,6,2]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,8,1,6,4,2,3,5]=>[2,1,8,3,5,7,6,4]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,4,1,2,5,6,3,7]=>[1,5,8,7,4,3,6,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[1,7,3,6,5,2,4,8]=>[8,2,6,3,4,7,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[8,1,3,7,2,6,4,5]=>[1,8,6,2,7,3,5,4]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,3,2,6,5,1,8,4]=>[2,6,7,3,4,8,1,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,8,4,2,5,6,1,3]=>[2,1,5,7,4,3,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,2,7,4,5,6,1,3]=>[1,7,2,5,4,3,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,2,3,6,5,1,7,4]=>[1,7,6,3,4,8,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,9,8,6,5,4,3,2,1]=>[3,1,2,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[6,9,8,7,5,4,3,2,1]=>[4,1,2,3,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[5,9,8,7,6,4,3,2,1]=>[5,1,2,3,4,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[4,9,8,7,6,5,3,2,1]=>[6,1,2,3,4,5,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[3,9,8,7,6,5,4,2,1]=>[7,1,2,3,4,5,6,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[2,9,8,7,6,5,4,3,1]=>[8,1,2,3,4,5,6,7,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,7]
[8,10,9,7,6,5,4,3,2,1]=>[3,1,2,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[7,10,9,8,6,5,4,3,2,1]=>[4,1,2,3,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[4,8,6,5,7,3,2,1]=>[5,1,3,4,2,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[6,10,9,8,7,5,4,3,2,1]=>[5,1,2,3,4,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[4,8,5,6,7,3,2,1]=>[5,1,4,3,2,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[5,10,9,8,7,6,4,3,2,1]=>[6,1,2,3,4,5,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[2,8,7,6,4,3,5,1]=>[7,1,2,3,5,6,4,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[4,10,9,8,7,6,5,3,2,1]=>[7,1,2,3,4,5,6,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[1,8,7,6,5,3,2,4]=>[8,1,2,3,4,6,7,5]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,8,7,6,3,4,5,1]=>[7,1,2,3,6,5,4,8]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[3,10,9,8,7,6,5,4,2,1]=>[8,1,2,3,4,5,6,7,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[1,8,7,6,5,2,3,4]=>[8,1,2,3,4,7,6,5]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[1,9,8,7,6,5,4,2,3]=>[9,1,2,3,4,5,6,8,7]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[2,10,9,8,7,6,5,4,3,1]=>[9,1,2,3,4,5,6,7,8,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,8]
[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[4,8,6,1,5,3,7,2]=>[5,1,3,8,4,6,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[3,4,1,2,8,6,7,5]=>[6,5,8,7,1,3,2,4]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[7,2,6,4,8,3,1,5]=>[2,7,3,5,1,6,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,5,7,4,2,6,3,8]=>[8,4,2,5,7,3,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[4,2,3,1,7,8,5,6]=>[5,7,6,8,2,1,4,3]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[2,5,1,8,4,3,7,6]=>[7,4,8,1,5,6,2,3]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[6,2,5,4,8,1,3,7]=>[3,7,4,5,1,8,6,2]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[4,3,1,6,5,8,2,7]=>[5,6,8,3,4,1,7,2]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[8,2,6,4,1,7,3,5]=>[1,7,3,5,8,2,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[7,3,8,4,5,2,1,6]=>[2,6,1,5,4,7,8,3]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[7,2,5,1,8,4,3,6]=>[2,7,4,8,1,5,6,3]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[5,4,6,8,1,2,7,3]=>[4,5,3,1,8,7,2,6]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[6,4,7,2,3,5,8,1]=>[3,5,2,7,6,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[3,4,7,8,6,2,5,1]=>[6,5,2,1,3,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,1,3,5,7,8,6,2]=>[5,8,6,4,2,1,3,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[6,5,1,8,4,7,3,2]=>[3,4,8,1,5,2,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,2,7,4,6,1,3,5]=>[1,7,2,5,3,8,6,4]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[8,7,3,6,1,5,2,4]=>[1,2,6,3,8,4,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[2,8,6,1,5,7,3,4]=>[7,1,3,8,4,2,6,5]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[5,7,3,2,4,1,8,6]=>[4,2,6,7,5,8,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[4,1,3,6,7,8,2,5]=>[5,8,6,3,2,1,7,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[3,8,1,5,6,2,7,4]=>[6,1,8,4,3,7,2,5]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[8,2,5,6,1,7,4,3]=>[1,7,4,3,8,2,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,1,5,2,8,6,4,3]=>[2,8,4,7,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[6,5,4,8,7,2,1,3]=>[3,4,5,1,2,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[1,8,6,4,5,2,7,3]=>[8,1,3,5,4,7,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[1,8,5,3,6,2,7,4]=>[8,1,4,6,3,7,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[3,6,2,1,7,5,8,4]=>[6,3,7,8,2,4,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[2,5,4,1,8,7,6,3]=>[7,4,5,8,1,2,3,6]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[4,7,2,6,5,8,1,3]=>[5,2,7,3,4,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,1,4,2,7,3,5]=>[3,1,8,5,7,2,6,4]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[6,3,4,7,1,8,2,5]=>[3,6,5,2,8,1,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[1,8,2,4,5,6,7,3]=>[8,1,7,5,4,3,2,6]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[5,2,4,1,6,8,7,3]=>[4,7,5,8,3,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[5,3,4,1,7,6,8,2]=>[4,6,5,8,2,3,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[3,1,4,6,5,7,8,2]=>[6,8,5,3,4,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[1,4,7,3,5,6,8,2]=>[8,5,2,6,4,3,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[5,1,3,6,4,8,7,2]=>[4,8,6,3,5,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[1,3,2,7,5,8,6,4]=>[8,6,7,2,4,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,4,2,7,8,5,6,3]=>[8,5,7,2,1,4,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,1,2,6,8,4,7,3]=>[4,8,7,3,1,5,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[4,1,2,6,8,5,3,7]=>[5,8,7,3,1,4,6,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[1,5,2,4,8,7,6,3]=>[8,4,7,5,1,2,3,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,2,6,4,8,7,5,3]=>[8,7,3,5,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,2,7,4,8,6,5,3]=>[8,7,2,5,1,3,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,3,2,8,5,7,4,6]=>[8,6,7,1,4,2,5,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,2,6,4,8,7,3,5]=>[8,7,3,5,1,2,6,4]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[1,2,6,8,5,7,3,4]=>[8,7,3,1,4,2,6,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[1,5,6,8,2,7,3,4]=>[8,4,3,1,7,2,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[1,6,7,8,2,5,3,4]=>[8,3,2,1,7,4,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[1,5,7,8,2,3,6,4]=>[8,4,2,1,7,6,3,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[1,5,2,7,8,4,6,3]=>[8,4,7,2,1,5,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[1,3,6,2,4,8,7,5]=>[8,6,3,7,5,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[1,6,7,3,4,8,5,2]=>[8,3,2,6,5,1,4,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[1,3,8,4,2,7,6,5]=>[8,6,1,5,7,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,2,7,4,8,3,6,5]=>[8,7,2,5,1,6,3,4]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[1,5,2,4,8,3,7,6]=>[8,4,7,5,1,6,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[2,8,3,5,1,4,7,6]=>[7,1,6,4,8,5,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[1,4,8,6,7,2,3,5]=>[8,5,1,3,2,7,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[1,5,7,8,6,2,3,4]=>[8,4,2,1,3,7,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[2,3,8,7,4,1,6,5]=>[7,6,1,2,5,8,3,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,2,6,8,7,5,3,4]=>[8,7,3,1,2,4,6,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[5,2,6,7,3,4,8,1]=>[4,7,3,2,6,5,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[5,2,4,7,6,3,8,1]=>[4,7,5,2,3,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[5,6,2,1,7,8,3,4]=>[4,3,7,8,2,1,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,6,2,1,4,8,7,3]=>[4,3,7,8,5,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[2,6,1,4,5,8,7,3]=>[7,3,8,5,4,1,2,6]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[5,4,2,7,6,3,8,1]=>[4,5,7,2,3,6,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[2,3,7,6,4,5,8,1]=>[7,6,2,3,5,4,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[2,6,1,7,5,8,3,4]=>[7,3,8,2,4,1,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,6,1,7,4,8,5,3]=>[7,3,8,2,5,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[5,1,2,7,8,4,3,6]=>[4,8,7,2,1,5,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[2,6,1,7,4,8,3,5]=>[7,3,8,2,5,1,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,6,4,1,7,8,2,5]=>[6,3,5,8,2,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,4,6,1,3,8,7,2]=>[4,5,3,8,6,1,2,7]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[3,6,4,1,5,8,7,2]=>[6,3,5,8,4,1,2,7]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,6,1,5,4,8,7,3]=>[7,3,8,4,5,1,2,6]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[2,6,1,4,7,8,5,3]=>[7,3,8,5,2,1,4,6]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[5,1,2,4,8,6,7,3]=>[4,8,7,5,1,3,2,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[5,1,2,4,8,7,3,6]=>[4,8,7,5,1,2,6,3]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[5,1,2,4,8,7,6,3]=>[4,8,7,5,1,2,3,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[4,3,1,2,8,5,7,6]=>[5,6,8,7,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[2,1,5,3,8,6,4,7]=>[7,8,4,6,1,3,5,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[1,2,3,8,5,6,4,7]=>[8,7,6,1,4,3,5,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[2,6,1,5,4,8,3,7]=>[7,3,8,4,5,1,6,2]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[5,1,2,4,8,6,3,7]=>[4,8,7,5,1,3,6,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[5,1,2,4,8,3,7,6]=>[4,8,7,5,1,6,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[5,6,3,1,4,8,2,7]=>[4,3,6,8,5,1,7,2]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[2,5,4,3,1,8,6,7]=>[7,4,5,6,8,1,3,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,4,6,3,1,8,7,2]=>[4,5,3,6,8,1,2,7]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,6,4,5,1,8,7,2]=>[6,3,5,4,8,1,2,7]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[3,6,5,4,1,8,7,2]=>[6,3,4,5,8,1,2,7]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[5,2,6,1,7,8,4,3]=>[4,7,3,8,2,1,5,6]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[5,1,6,2,8,7,3,4]=>[4,8,3,7,1,2,6,5]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[2,1,3,7,8,6,4,5]=>[7,8,6,2,1,3,5,4]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[2,1,3,7,8,5,6,4]=>[7,8,6,2,1,4,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,2,4,1,7,8,6,3]=>[4,7,5,8,2,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[4,3,1,2,8,6,7,5]=>[5,6,8,7,1,3,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[5,1,4,2,8,6,7,3]=>[4,8,5,7,1,3,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[2,1,3,6,8,5,7,4]=>[7,8,6,3,1,4,2,5]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[1,2,3,8,6,7,4,5]=>[8,7,6,1,3,2,5,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[2,1,3,6,8,7,4,5]=>[7,8,6,3,1,2,5,4]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[5,4,1,2,8,7,6,3]=>[4,5,8,7,1,2,3,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[3,1,6,2,8,7,5,4]=>[6,8,3,7,1,2,4,5]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[1,9,3,2,4,5,6,7,8]=>[9,1,7,8,6,5,4,3,2]=>[[1,3,4],[2],[5],[6],[7],[8],[9]]=>[2,7]
[8,4,7,6,5,3,2,1]=>[1,5,2,3,4,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[3,5]
[8,4,7,5,6,3,2,1]=>[1,5,2,4,3,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[8,5,7,4,6,3,2,1]=>[1,4,2,5,3,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[8,7,6,3,5,4,2,1]=>[1,2,3,6,4,5,7,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,3]
[8,6,7,3,5,4,2,1]=>[1,3,2,6,4,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[8,5,7,3,6,4,2,1]=>[1,4,2,6,3,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[8,1,7,4,6,5,3,2]=>[1,8,2,5,3,4,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[8,1,7,3,6,5,4,2]=>[1,8,2,6,3,4,5,7]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[8,2,7,3,6,5,4,1]=>[1,7,2,6,3,4,5,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[8,3,7,2,6,5,4,1]=>[1,6,2,7,3,4,5,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[8,5,7,2,6,4,3,1]=>[1,4,2,7,3,5,6,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[8,6,7,2,5,4,3,1]=>[1,3,2,7,4,5,6,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[8,7,6,2,5,4,3,1]=>[1,2,3,7,4,5,6,8]=>[[1,2,3,4,6,7,8],[5]]=>[5,3]
[8,4,7,1,6,5,3,2]=>[1,5,2,8,3,4,6,7]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[8,3,7,1,6,5,4,2]=>[1,6,2,8,3,4,5,7]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[8,2,7,1,6,5,4,3]=>[1,7,2,8,3,4,5,6]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[8,1,7,2,6,5,4,3]=>[1,8,2,7,3,4,5,6]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[8,7,6,2,5,3,4,1]=>[1,2,3,7,4,6,5,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[8,1,7,6,5,3,4,2]=>[1,8,2,3,4,6,5,7]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[8,3,7,6,5,2,4,1]=>[1,6,2,3,4,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[8,4,7,6,5,2,3,1]=>[1,5,2,3,4,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[8,5,7,6,4,2,3,1]=>[1,4,2,3,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[8,6,7,5,4,1,3,2]=>[1,3,2,4,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[8,5,7,6,4,1,3,2]=>[1,4,2,3,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[8,3,7,6,5,1,4,2]=>[1,6,2,3,4,8,5,7]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[8,7,6,4,5,1,3,2]=>[1,2,3,5,4,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[8,7,6,2,5,1,4,3]=>[1,2,3,7,4,8,5,6]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[8,7,6,1,5,2,4,3]=>[1,2,3,8,4,7,5,6]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[6,8,1,3,2,5,4,7]=>[3,1,8,6,7,4,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[6,8,1,4,2,5,3,7]=>[3,1,8,5,7,4,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,8,3,6,1,4,2,5]=>[2,1,6,3,8,5,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,8,2,5,3,6,1,4]=>[2,1,7,4,6,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[7,8,2,5,1,4,3,6]=>[2,1,7,4,8,5,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,8,1,4,3,6,2,5]=>[2,1,8,5,6,3,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,8,1,4,3,7,2,6]=>[4,1,8,5,6,2,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,2,5,1,4,3,7]=>[3,1,7,4,8,5,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,8,2,5,3,7,1,4]=>[3,1,7,4,6,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[6,8,2,5,4,7,1,3]=>[3,1,7,4,5,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,5,4,7,6,8,1,3]=>[7,4,5,2,3,1,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,5,3,7,6,8,1,4]=>[7,4,6,2,3,1,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,5,1,4,3,7,6,8]=>[7,4,8,5,6,2,3,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,6,1,4,3,7,5,8]=>[7,3,8,5,6,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,6,5,8,1,4,3,7]=>[7,3,4,1,8,5,6,2]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[2,6,1,5,3,7,4,8]=>[7,3,8,4,6,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,6,3,7,4,8,1,5]=>[7,3,6,2,5,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,6,4,7,5,8,1,3]=>[7,3,5,2,4,1,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[5,8,3,6,4,7,1,2]=>[4,1,6,3,5,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[5,8,2,6,4,7,1,3]=>[4,1,7,3,5,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,8,2,6,3,7,1,5]=>[5,1,7,3,6,2,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,8,1,5,3,7,2,6]=>[5,1,8,4,6,2,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,8,1,5,2,6,3,7]=>[5,1,8,4,7,3,6,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,8,3,7,1,5,2,6]=>[5,1,6,2,8,4,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,8,3,7,1,4,2,5]=>[3,1,6,2,8,5,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,8,1,3,2,6,4,7]=>[4,1,8,6,7,3,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,8,4,7,1,3,2,6]=>[4,1,5,2,8,6,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,8,4,7,1,3,2,5]=>[3,1,5,2,8,6,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,8,5,7,1,3,2,4]=>[3,1,4,2,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,7,6,8,2,4,1,3]=>[4,2,3,1,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,7,6,8,1,3,2,5]=>[5,2,3,1,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,7,5,8,1,3,2,6]=>[5,2,4,1,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,7,1,3,2,6,5,8]=>[5,2,8,6,7,3,4,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[3,7,1,4,2,6,5,8]=>[6,2,8,5,7,3,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[3,7,5,8,1,4,2,6]=>[6,2,4,1,8,5,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[3,7,6,8,1,4,2,5]=>[6,2,3,1,8,5,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[3,7,6,8,2,5,1,4]=>[6,2,3,1,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,7,6,8,2,5,1,3]=>[5,2,3,1,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,7,5,8,3,6,1,2]=>[5,2,4,1,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,7,5,8,2,6,1,3]=>[5,2,4,1,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,7,5,8,2,6,1,4]=>[6,2,4,1,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,7,4,8,2,6,1,5]=>[6,2,5,1,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[3,7,4,8,1,5,2,6]=>[6,2,5,1,8,4,7,3]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,7,1,5,2,6,4,8]=>[6,2,8,4,7,3,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[3,7,2,6,1,5,4,8]=>[6,2,7,3,8,4,5,1]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[3,7,2,6,5,8,1,4]=>[6,2,7,3,4,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[4,7,3,6,5,8,1,2]=>[5,2,6,3,4,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[3,6,5,8,4,7,1,2]=>[6,3,4,1,5,2,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,6,5,8,4,7,1,3]=>[7,3,4,1,5,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,6,5,8,3,7,1,4]=>[7,3,4,1,6,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,6,3,7,1,5,4,8]=>[7,3,6,2,8,4,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[7,6,4,2,8,5,3,1]=>[2,3,5,7,1,4,6,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[7,6,4,8,5,2,3,1]=>[2,3,5,1,4,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[6,8,4,3,7,2,1,5]=>[3,1,5,6,2,7,8,4]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[6,8,3,7,5,2,4,1]=>[3,1,6,2,4,7,5,8]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[7,6,8,3,5,2,4,1]=>[2,3,1,6,4,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[7,6,3,8,2,4,1,5]=>[2,3,6,1,7,5,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[6,8,3,7,4,5,2,1]=>[3,1,6,2,5,4,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[6,7,3,5,8,4,2,1]=>[3,2,6,4,1,5,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[5,7,8,3,6,2,1,4]=>[4,2,1,6,3,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,8,3,6,7,2,1,4]=>[4,1,6,3,2,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[6,3,4,8,7,2,5,1]=>[3,6,5,1,2,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[6,3,8,4,7,2,1,5]=>[3,6,1,5,2,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[6,2,8,4,1,7,5,3]=>[3,7,1,5,8,2,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[6,2,7,4,1,5,3,8]=>[3,7,2,5,8,4,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[6,3,4,7,5,8,2,1]=>[3,6,5,2,4,1,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,7,3,6,8,2,1,4]=>[4,2,6,3,1,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,6,8,3,7,2,1,4]=>[4,3,1,6,2,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[4,6,7,8,3,5,2,1]=>[5,3,2,1,6,4,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,6,8,3,5,7,2,1]=>[5,3,1,6,4,2,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[4,7,3,5,6,8,2,1]=>[5,2,6,4,3,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[4,7,3,5,8,2,6,1]=>[5,2,6,4,1,7,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[5,3,4,7,8,2,1,6]=>[4,6,5,2,1,7,8,3]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,3,8,2,4,1,6,7]=>[4,6,1,7,5,8,3,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[5,3,4,8,2,6,1,7]=>[4,6,5,1,7,3,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[4,8,3,6,2,5,7,1]=>[5,1,6,3,7,4,2,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[4,8,3,5,7,2,6,1]=>[5,1,6,4,2,7,3,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,8,3,5,6,7,2,1]=>[5,1,6,4,3,2,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[4,7,8,3,5,6,2,1]=>[5,2,1,6,4,3,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[4,7,8,3,6,2,5,1]=>[5,2,1,6,3,7,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,8,3,6,7,2,5,1]=>[5,1,6,3,2,7,4,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,8,3,7,2,5,6,1]=>[5,1,6,2,7,4,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[5,2,8,4,1,7,3,6]=>[4,7,1,5,8,2,6,3]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[6,4,3,5,8,2,1,7]=>[3,5,6,4,1,7,8,2]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[6,3,5,8,7,2,4,1]=>[3,6,4,1,2,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[5,8,3,7,2,6,4,1]=>[4,1,6,2,7,3,5,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[5,8,4,2,3,1,6,7]=>[4,1,5,7,6,8,3,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[6,4,5,3,8,2,1,7]=>[3,5,4,6,1,7,8,2]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[6,4,3,8,5,7,2,1]=>[3,5,6,1,4,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[6,4,2,8,5,3,1,7]=>[3,5,7,1,4,6,8,2]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[6,4,2,7,3,1,8,5]=>[3,5,7,2,6,8,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[6,4,3,7,8,5,2,1]=>[3,5,6,2,1,4,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[6,4,5,3,7,1,8,2]=>[3,5,4,6,2,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,6,3,7,1,8,2,4]=>[4,3,6,2,8,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[5,6,3,4,8,2,1,7]=>[4,3,6,5,1,7,8,2]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[6,3,5,7,4,8,2,1]=>[3,6,4,2,5,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[6,4,2,5,1,7,3,8]=>[3,5,7,4,8,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[5,3,7,2,4,1,6,8]=>[4,6,2,7,5,8,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[5,3,4,7,2,6,1,8]=>[4,6,5,2,7,3,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[4,7,3,6,2,5,8,1]=>[5,2,6,3,7,4,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[4,7,3,6,8,2,5,1]=>[5,2,6,3,1,7,4,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,6,7,3,5,8,2,1]=>[5,3,2,6,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[4,5,7,8,3,6,2,1]=>[5,4,2,1,6,3,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,5,8,3,6,7,2,1]=>[5,4,1,6,3,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[4,5,8,3,7,2,6,1]=>[5,4,1,6,2,7,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,3,4,6,8,2,1,7]=>[4,6,5,3,1,7,8,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,3,6,8,2,1,4,7]=>[4,6,3,1,7,8,5,2]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[4,6,3,5,7,8,2,1]=>[5,3,6,4,2,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[4,5,7,3,6,8,2,1]=>[5,4,2,6,3,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[4,5,6,8,3,7,2,1]=>[5,4,3,1,6,2,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,7,4,8,6,3,2,1]=>[4,2,5,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,2,6,5,1,8,7,4]=>[6,7,3,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[3,5,6,7,2,8,4,1]=>[6,4,3,2,7,1,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[7,6,9,8,5,4,3,2,1]=>[3,4,1,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[6,5,4,9,8,7,3,2,1]=>[4,5,6,1,2,3,7,8,9]=>[[1,2,3,7,8,9],[4,5,6]]=>[4,5]
[6,8,5,9,7,4,3,2,1]=>[4,2,5,1,3,6,7,8,9]=>[[1,3,6,7,8,9],[2,5],[4]]=>[2,2,5]
[6,7,8,9,5,4,3,2,1]=>[4,3,2,1,5,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[5,4,3,2,9,8,7,6,1]=>[5,6,7,8,1,2,3,4,9]=>[[1,2,3,4,9],[5,6,7,8]]=>[5,4]
[5,6,7,8,9,4,3,2,1]=>[5,4,3,2,1,6,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[4,8,3,2,1,9,7,6,5]=>[6,2,7,8,9,1,3,4,5]=>[[1,3,4,5],[2,7,8,9],[6]]=>[2,4,3]
[4,6,7,8,3,9,5,2,1]=>[6,4,3,2,7,1,5,8,9]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>[4,2,3]
[4,5,6,7,8,9,3,2,1]=>[6,5,4,3,2,1,7,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[3,2,1,6,5,4,9,8,7]=>[7,8,9,4,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7,8,9]]=>[4,3,2]
[3,2,5,4,7,6,9,8,1]=>[7,8,5,6,3,4,1,2,9]=>[[1,2,9],[3,4],[5,6],[7,8]]=>[3,2,2,2]
[3,5,7,2,8,4,9,6,1]=>[7,5,3,8,2,6,1,4,9]=>[[1,4,9],[2,6],[3,8],[5],[7]]=>[3,2,2,2]
[3,4,5,6,7,8,9,2,1]=>[7,6,5,4,3,2,1,8,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[2,4,6,7,1,8,3,9,5]=>[8,6,4,3,9,2,7,1,5]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>[4,2,2,1]
[2,4,5,6,7,8,1,9,3]=>[8,6,5,4,3,2,9,1,7]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[6,2,1]
[8,7,10,9,6,5,4,3,2,1]=>[3,4,1,2,5,6,7,8,9,10]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[8,9,10,7,6,5,4,3,2,1]=>[3,2,1,4,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,7]
[7,6,5,10,9,8,4,3,2,1]=>[4,5,6,1,2,3,7,8,9,10]=>[[1,2,3,7,8,9,10],[4,5,6]]=>[4,6]
[7,8,9,10,6,5,4,3,2,1]=>[4,3,2,1,5,6,7,8,9,10]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,6]
[6,5,4,3,10,9,8,7,2,1]=>[5,6,7,8,1,2,3,4,9,10]=>[[1,2,3,4,9,10],[5,6,7,8]]=>[5,5]
[5,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[5,4,8,7,3,10,9,6,2,1]=>[6,7,3,4,8,1,2,5,9,10]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>[3,3,4]
[5,6,7,8,9,10,4,3,2,1]=>[6,5,4,3,2,1,7,8,9,10]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,4]
[4,8,9,3,2,1,10,7,6,5]=>[7,3,2,8,9,10,1,4,5,6]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>[3,4,3]
[4,3,2,7,6,5,10,9,8,1]=>[7,8,9,4,5,6,1,2,3,10]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>[4,3,3]
[4,5,6,7,8,9,10,3,2,1]=>[7,6,5,4,3,2,1,8,9,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,3]
[3,6,7,8,9,2,1,10,5,4]=>[8,5,4,3,2,9,10,1,6,7]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>[5,3,2]
[3,4,5,6,7,8,9,10,2,1]=>[8,7,6,5,4,3,2,1,9,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[2,4,6,1,8,3,9,5,10,7]=>[9,7,5,10,3,8,2,6,1,4]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[3,2,2,2,1]
[2,4,6,7,8,1,9,3,10,5]=>[9,7,5,4,3,10,2,8,1,6]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>[5,2,2,1]
[2,4,5,6,7,8,9,1,10,3]=>[9,7,6,5,4,3,2,10,1,8]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[7,2,1]
[1,6,2,5,3,4,8,7]=>[8,3,7,4,6,5,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[1,6,8,2,5,3,7,4]=>[8,3,1,7,4,6,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[1,3,5,2,8,4,7,6]=>[8,6,4,7,1,5,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[1,2,7,3,5,4,6,8]=>[8,7,2,6,4,5,3,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[1,6,8,2,3,5,4,7]=>[8,3,1,7,6,4,5,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[5,3,6,1,2,4,8,7]=>[4,6,3,8,7,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,1,5,8,4,2,3,6]=>[2,8,4,1,5,7,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,1,5,7,4,2,3,6]=>[1,8,4,2,5,7,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[7,1,4,5,8,2,3,6]=>[2,8,5,4,1,7,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[7,4,1,6,2,8,3,5]=>[2,5,8,3,7,1,6,4]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[8,4,1,7,2,6,3,5]=>[1,5,8,2,7,3,6,4]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,1,4,7,5,2,3,6]=>[1,8,5,2,4,7,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,1,5,4,7,2,3,6]=>[1,8,4,5,2,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[2,1,7,5,8,3,4,6]=>[7,8,2,4,1,6,5,3]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[7,1,5,4,8,2,3,6]=>[2,8,4,5,1,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,1,4,8,5,2,3,6]=>[2,8,5,1,4,7,6,3]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[6,4,1,7,2,3,8,5]=>[3,5,8,2,7,6,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,8,3,1,2,4,6,5]=>[2,1,6,8,7,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[8,7,1,6,4,2,3,5]=>[1,2,8,3,5,7,6,4]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[8,6,1,7,4,2,3,5]=>[1,3,8,2,5,7,6,4]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,6,1,8,4,2,3,5]=>[2,3,8,1,5,7,6,4]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,3,8,1,2,4,6,5]=>[2,6,1,8,7,5,3,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[8,3,7,1,2,4,6,5]=>[1,6,2,8,7,5,3,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,3,6,1,2,4,7,5]=>[1,6,3,8,7,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,3,7,5,1,2,4,6]=>[1,6,2,4,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,3,6,1,2,4,8,5]=>[2,6,3,8,7,5,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[6,7,1,8,4,2,3,5]=>[3,2,8,1,5,7,6,4]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[6,8,1,7,4,2,3,5]=>[3,1,8,2,5,7,6,4]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,1,8,5,4,2,3,6]=>[2,8,1,4,5,7,6,3]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[7,1,8,4,5,2,3,6]=>[2,8,1,5,4,7,6,3]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[2,1,7,8,5,3,4,6]=>[7,8,2,1,4,6,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[7,6,3,1,2,4,8,5]=>[2,3,6,8,7,5,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,1,2,3,8,7,5,4]=>[3,8,7,6,1,2,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[6,8,1,4,2,3,7,5]=>[3,1,8,5,7,6,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[6,8,3,1,2,7,4,5]=>[3,1,6,8,7,2,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[6,7,3,1,2,8,4,5]=>[3,2,6,8,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[6,7,1,4,2,3,8,5]=>[3,2,8,5,7,6,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[4,3,6,8,5,7,1,2]=>[5,6,3,1,4,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[6,1,2,5,4,8,3,7]=>[3,8,7,4,5,1,6,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,8,2,1,4,6,3,5]=>[2,1,7,8,5,3,6,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[7,2,1,5,8,3,4,6]=>[2,7,8,4,1,6,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[2,4,8,5,1,3,6,7]=>[7,5,1,4,8,6,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,3,6,8,7,4,2,5]=>[8,6,3,1,2,5,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,2,8,5,7,3,4,6]=>[8,7,1,4,2,6,5,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[5,7,1,6,8,4,3,2]=>[4,2,8,3,1,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,8,1,2,5,7,3,6]=>[5,1,8,7,4,2,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[8,4,6,2,5,7,3,1]=>[1,5,3,7,4,2,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,3,6,4,7,2,5,1]=>[1,6,3,5,2,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[3,8,1,4,7,2,5,6]=>[6,1,8,5,2,7,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[1,7,8,4,6,2,5,3]=>[8,2,1,5,3,7,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,7,4,8,5,1,6,2]=>[6,2,5,1,4,8,3,7]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[3,7,1,6,5,4,8,2]=>[6,2,8,3,4,5,1,7]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[2,7,3,1,5,8,4,6]=>[7,2,6,8,4,1,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,7,4,6,8,1,3,5]=>[7,2,5,3,1,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[8,2,6,7,5,4,3,1]=>[1,7,3,2,4,5,6,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[3,8,7,1,6,4,5,2]=>[6,1,2,8,3,5,4,7]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[3,6,8,2,7,4,1,5]=>[6,3,1,7,2,5,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[1,5,2,8,7,4,6,3]=>[8,4,7,1,2,5,3,6]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[3,4,2,7,8,1,6,5]=>[6,5,7,2,1,8,3,4]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[6,5,8,7,1,4,2,3]=>[3,4,1,2,8,5,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[4,1,7,3,8,5,2,6]=>[5,8,2,6,1,4,7,3]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[7,2,8,4,1,6,3,5]=>[2,7,1,5,8,3,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[7,1,5,6,8,4,3,2]=>[2,8,4,3,1,5,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[6,7,1,3,4,5,8,2]=>[3,2,8,6,5,4,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[6,8,7,4,2,3,5,1]=>[3,1,2,5,7,6,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[3,6,4,5,2,8,7,1]=>[6,3,5,4,7,1,2,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[5,3,8,6,1,2,4,7]=>[4,6,1,3,8,7,5,2]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[4,7,6,2,5,3,8,1]=>[5,2,3,7,4,6,1,8]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[8,5,2,7,1,4,3,6]=>[1,4,7,2,8,5,6,3]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[1,8,5,3,6,2,4,7]=>[8,1,4,6,3,7,5,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[5,1,7,2,4,3,8,6]=>[4,8,2,7,5,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[1,5,3,4,8,6,2,7]=>[8,4,6,5,1,3,7,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[5,4,1,3,8,6,2,7]=>[4,5,8,6,1,3,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,1,8,6,3,4,2,7]=>[4,8,1,3,6,5,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[5,8,2,4,7,6,3,1]=>[4,1,7,5,2,3,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[1,6,7,4,8,2,3,5]=>[8,3,2,5,1,7,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[7,1,3,5,8,2,6,4]=>[2,8,6,4,1,7,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[8,2,1,3,5,6,7,4]=>[1,7,8,6,4,3,2,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[4,1,3,8,2,6,7,5]=>[5,8,6,1,7,3,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[3,1,7,2,8,5,4,6]=>[6,8,2,7,1,4,5,3]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[3,6,1,4,7,2,8,5]=>[6,3,8,5,2,7,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[1,5,8,4,7,2,3,6]=>[8,4,1,5,2,7,6,3]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[7,1,3,6,2,8,4,5]=>[2,8,6,3,7,1,5,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[2,1,8,4,5,7,3,6]=>[7,8,1,5,4,2,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[1,8,5,7,3,2,4,6]=>[8,1,4,2,6,7,5,3]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[2,1,8,5,4,3,6,7]=>[7,8,1,4,5,6,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[7,4,8,6,2,3,1,5]=>[2,5,1,3,7,6,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,3,4,8,6,5,2,7]=>[8,6,5,1,3,4,7,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[7,2,8,5,3,6,4,1]=>[2,7,1,4,6,3,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[8,4,7,5,2,3,6,1]=>[1,5,2,4,7,6,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[7,5,2,8,4,6,1,3]=>[2,4,7,1,5,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[6,7,5,1,2,8,3,4]=>[3,2,4,8,7,1,6,5]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[7,6,2,4,5,8,3,1]=>[2,3,7,5,4,1,6,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[2,6,3,8,4,7,5,1]=>[7,3,6,1,5,2,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,8,3,6,4,5,7,1]=>[7,1,6,3,5,4,2,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[1,6,8,3,2,7,4,5]=>[8,3,1,6,7,2,5,4]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[7,5,1,2,8,4,6,3]=>[2,4,8,7,1,5,3,6]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[5,4,8,3,6,2,7,1]=>[4,5,1,6,3,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[6,4,5,8,2,7,3,1]=>[3,5,4,1,7,2,6,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[5,7,3,6,4,8,2,1]=>[4,2,6,3,5,1,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[1,3,6,2,5,7,8,4]=>[8,6,3,7,4,2,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[1,3,6,5,2,7,8,4]=>[8,6,3,4,7,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,2,6,4,3,8,5,7]=>[8,7,3,5,6,1,4,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[2,3,5,1,8,4,7,6]=>[7,6,4,8,1,5,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[2,3,7,5,1,8,4,6]=>[7,6,2,4,8,1,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[1,2,7,3,6,8,5,4]=>[8,7,2,6,3,1,4,5]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[2,3,6,1,8,5,7,4]=>[7,6,3,8,1,4,2,5]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[1,2,5,8,4,7,3,6]=>[8,7,4,1,5,2,6,3]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[1,3,6,8,5,2,7,4]=>[8,6,3,1,4,7,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[2,4,7,6,8,3,1,5]=>[7,5,2,3,1,6,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[1,4,6,8,3,5,2,7]=>[8,5,3,1,6,4,7,2]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[1,3,6,8,5,2,4,7]=>[8,6,3,1,4,7,5,2]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[1,2,6,8,5,4,3,7]=>[8,7,3,1,4,5,6,2]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[3,5,7,4,8,1,2,6]=>[6,4,2,5,1,8,7,3]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,6,1,7,5,8,2,3]=>[5,3,8,2,4,1,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,3,6,7,5,8,1,4]=>[7,6,3,2,4,1,8,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[1,3,7,5,6,8,2,4]=>[8,6,2,4,3,1,7,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[3,4,6,2,8,1,7,5]=>[6,5,3,7,1,8,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,5,4,6,8,2,1,7]=>[6,4,5,3,1,7,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[3,5,4,6,8,1,2,7]=>[6,4,5,3,1,8,7,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[1,2,4,7,5,8,3,6]=>[8,7,5,2,4,1,6,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[1,2,6,7,3,8,5,4]=>[8,7,3,2,6,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,2,5,7,3,8,6,4]=>[8,7,4,2,6,1,3,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,1,5,7,6,8,4,2]=>[6,8,4,2,3,1,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[2,3,6,5,8,7,1,4]=>[7,6,3,4,1,2,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[1,2,7,4,6,8,5,3]=>[8,7,2,5,3,1,4,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[1,2,7,5,6,8,4,3]=>[8,7,2,4,3,1,5,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[4,6,2,7,5,8,3,1]=>[5,3,7,2,4,1,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[3,5,7,4,8,2,6,1]=>[6,4,2,5,1,7,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,4,6,8,3,5,7,2]=>[8,5,3,1,6,4,2,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[1,3,6,8,2,5,7,4]=>[8,6,3,1,7,4,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[1,3,5,8,2,7,4,6]=>[8,6,4,1,7,2,5,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[1,2,4,8,7,3,6,5]=>[8,7,5,1,2,6,3,4]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[1,2,5,8,7,4,3,6]=>[8,7,4,1,2,5,6,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,3,5,8,7,2,4,6]=>[8,6,4,1,2,7,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,1,7,6,8,5,4,2]=>[6,8,2,3,1,4,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[1,2,6,8,5,7,4,3]=>[8,7,3,1,4,2,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[1,2,5,8,7,4,6,3]=>[8,7,4,1,2,5,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[6,4,5,7,2,8,1,3]=>[3,5,4,2,7,1,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,3,6,2,7,1,4,8]=>[4,6,3,7,2,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[2,6,3,4,7,1,5,8]=>[7,3,6,5,2,8,4,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[2,7,3,4,5,8,1,6]=>[7,2,6,5,4,1,8,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[3,7,4,5,6,8,1,2]=>[6,2,5,4,3,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[4,7,6,2,3,8,1,5]=>[5,2,3,7,6,1,8,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[7,6,2,4,5,8,1,3]=>[2,3,7,5,4,1,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[5,3,1,2,8,4,7,6]=>[4,6,8,7,1,5,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[5,2,1,8,3,4,6,7]=>[4,7,8,1,6,5,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[6,4,1,3,8,5,7,2]=>[3,5,8,6,1,4,2,7]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[6,2,3,1,8,4,7,5]=>[3,7,6,8,1,5,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,1,6,2,3,4,5,8]=>[2,8,3,7,6,5,4,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[8,2,7,3,4,5,6,1]=>[1,7,2,6,5,4,3,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[8,1,6,2,3,4,5,7]=>[1,8,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[8,1,5,7,2,3,6,4]=>[1,8,4,2,7,6,3,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,7,5,8,2,3,6,4]=>[8,2,4,1,7,6,3,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[7,2,1,8,3,4,5,6]=>[2,7,8,1,6,5,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[1,4,5,8,3,6,7,2]=>[8,5,4,1,6,3,2,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[6,2,7,1,8,4,5,3]=>[3,7,2,8,1,5,4,6]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[3,2,8,7,1,4,6,5]=>[6,7,1,2,8,5,3,4]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,8,1,7,2,4,5,6]=>[6,1,8,2,7,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[6,8,2,3,5,1,4,7]=>[3,1,7,6,4,8,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[2,8,6,1,3,4,5,7]=>[7,1,3,8,6,5,4,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[1,8,6,2,3,4,5,7]=>[8,1,3,7,6,5,4,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[2,8,7,3,4,5,6,1]=>[7,1,2,6,5,4,3,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[3,8,7,2,4,5,6,1]=>[6,1,2,7,5,4,3,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,8,3,6,2,4,5,1]=>[2,1,6,3,7,5,4,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[1,5,8,7,2,3,6,4]=>[8,4,1,2,7,6,3,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[8,7,6,1,3,4,5,2]=>[1,2,3,8,6,5,4,7]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[3,6,2,4,7,1,8,5]=>[6,3,7,5,2,8,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[3,4,7,2,5,1,8,6]=>[6,5,2,7,4,8,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[2,1,6,4,8,5,3,7]=>[7,8,3,5,1,4,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[4,1,8,5,3,2,7,6]=>[5,8,1,4,6,7,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,6,2,5,7,1,4,8]=>[6,3,7,4,2,8,5,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[1,2,8,3,7,5,4,6]=>[8,7,1,6,2,4,5,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[6,1,3,2,8,5,4,7]=>[3,8,6,7,1,4,5,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[5,6,1,2,8,4,3,7]=>[4,3,8,7,1,5,6,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[1,6,3,8,7,4,2,5]=>[8,3,6,1,2,5,7,4]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,3,8,1,2,6,7,5]=>[5,6,1,8,7,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,6,1,2,3,4,5]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,4]
[11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[2,2,2,2,2,2]
[3,1,2,4,5,6,7,8,9]=>[7,9,8,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9]
[3,6,8,7,1,2,5,4]=>[6,3,1,2,8,7,4,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[6,2,8,5,4,7,1,3]=>[3,7,1,4,5,2,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[3,4,1,6,5,8,7,2]=>[6,5,8,3,4,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[3,5,1,2,4,8,7,6]=>[6,4,8,7,5,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[3,8,5,2,7,4,1,6]=>[6,1,4,7,2,5,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[5,2,8,4,7,3,1,6]=>[4,7,1,5,2,6,8,3]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[5,2,7,4,1,3,6,8]=>[4,7,2,5,8,6,3,1]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[3,4,5,6,1,8,7,2]=>[6,5,4,3,8,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,4,5,8,7,2,1,6]=>[6,5,4,1,2,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,8,5,7,3,4,6,2]=>[8,1,4,2,6,5,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[6,3,5,1,7,4,2,8]=>[3,6,4,8,2,5,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,1,4,8,7,3,2,5]=>[3,8,5,1,2,6,7,4]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[6,4,8,5,7,1,2,3]=>[3,5,1,4,2,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[4,6,3,7,5,8,1,2]=>[5,3,6,2,4,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[4,1,3,5,8,6,2,7]=>[5,8,6,4,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[5,7,4,3,8,1,2,6]=>[4,2,5,6,1,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[1,4,8,3,7,6,5,2]=>[8,5,1,6,2,3,4,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[4,3,8,2,1,6,5,7]=>[5,6,1,7,8,3,4,2]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[3,1,2,5,7,6,4,8]=>[6,8,7,4,2,3,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[1,8,2,7,6,5,4,3]=>[8,1,7,2,3,4,5,6]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[8,2,1,7,5,6,4,3]=>[1,7,8,2,4,3,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,1,3,6,5,7,4,2]=>[1,8,6,3,4,2,5,7]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[1,8,4,5,3,2,6,7]=>[8,1,5,4,6,7,3,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[7,8,5,4,3,1,6,2]=>[2,1,4,5,6,8,3,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[6,8,7,1,4,2,5,3]=>[3,1,2,8,5,7,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[3,6,1,4,2,7,5,8]=>[6,3,8,5,7,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[3,4,1,8,5,7,6,2]=>[6,5,8,1,4,2,3,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[3,8,5,6,7,2,1,4]=>[6,1,4,3,2,7,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,1,7,6,2,4,3,5]=>[1,8,2,3,7,5,6,4]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[8,5,6,1,4,2,3,7]=>[1,4,3,8,5,7,6,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,6,5,4,7,1,3,2]=>[1,3,4,5,2,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[1,6,4,5,7,2,3,8]=>[8,3,5,4,2,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[8,3,6,1,7,2,4,5]=>[1,6,3,8,2,7,5,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[1,8,6,5,7,3,4,2]=>[8,1,3,4,2,6,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[7,4,1,6,5,8,3,2]=>[2,5,8,3,4,1,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[4,1,5,8,7,6,3,2]=>[5,8,4,1,2,3,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,2,5,8,6,7,3,4]=>[8,7,4,1,3,2,6,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[4,2,1,5,8,7,3,6]=>[5,7,8,4,1,2,6,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[5,2,4,6,1,7,3,8]=>[4,7,5,3,8,2,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[1,5,3,6,8,7,4,2]=>[8,4,6,3,1,2,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,5,4,6,1,8,2,7]=>[6,4,5,3,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,4,6,3,7,2,8,5]=>[8,5,3,6,2,7,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[1,7,3,6,5,2,8,4]=>[8,2,6,3,4,7,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[8,6,2,5,4,1,7,3]=>[1,3,7,4,5,8,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[3,7,2,6,5,4,1,8]=>[6,2,7,3,4,5,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[7,6,2,5,4,3,1,8]=>[2,3,7,4,5,6,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[4,7,5,2,6,3,1,8]=>[5,2,4,7,3,6,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[3,2,6,4,7,5,1,8]=>[6,7,3,5,2,4,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[6,2,3,7,5,4,1,8]=>[3,7,6,2,4,5,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[1,3,4,7,6,2,8,5]=>[8,6,5,2,3,7,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,8,3,6,1,7,5,4]=>[7,1,6,3,8,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[8,7,2,5,1,6,4,3]=>[1,2,7,4,8,3,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[3,8,2,6,5,1,7,4]=>[6,1,7,3,4,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,8,2,5,4,1,6,3]=>[2,1,7,4,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[4,8,5,2,6,1,7,3]=>[5,1,4,7,3,8,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[4,5,1,3,7,2,8,6]=>[5,4,8,6,2,7,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[6,1,3,7,5,2,8,4]=>[3,8,6,2,4,7,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[7,1,3,6,2,8,5,4]=>[2,8,6,3,7,1,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[8,1,3,6,2,7,5,4]=>[1,8,6,3,7,2,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[1,2,4,7,3,8,6,5]=>[8,7,5,2,6,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[7,1,8,2,6,5,4,3]=>[2,8,1,7,3,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[3,1,8,6,2,7,5,4]=>[6,8,1,3,7,2,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[4,1,7,8,2,6,5,3]=>[5,8,2,1,7,3,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,6,1,8,2,7,4,3]=>[4,3,8,1,7,2,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,2,7,8,1,6,5,3]=>[5,7,2,1,8,3,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[3,2,8,6,1,7,5,4]=>[6,7,1,3,8,2,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,2,8,1,6,5,4,3]=>[2,7,1,8,3,4,5,6]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[1,8,7,2,6,5,4,3]=>[8,1,2,7,3,4,5,6]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[2,8,7,1,6,5,4,3]=>[7,1,2,8,3,4,5,6]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[3,8,7,1,6,5,4,2]=>[6,1,2,8,3,4,5,7]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[4,8,7,5,1,6,3,2]=>[5,1,2,4,8,3,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[6,7,8,5,1,4,3,2]=>[3,2,1,4,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[5,6,3,8,4,1,7,2]=>[4,3,6,1,5,8,2,7]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[7,3,8,5,4,1,6,2]=>[2,6,1,4,5,8,3,7]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[3,4,8,6,5,1,7,2]=>[6,5,1,3,4,8,2,7]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[8,3,7,5,1,6,4,2]=>[1,6,2,4,8,3,5,7]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[1,4,8,6,2,7,5,3]=>[8,5,1,3,7,2,4,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[8,4,6,7,1,5,3,2]=>[1,5,3,2,8,4,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[5,6,4,7,8,1,3,2]=>[4,3,5,2,1,8,6,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[3,4,6,5,1,2,8,7]=>[6,5,3,4,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[7,3,5,1,2,8,6,4]=>[2,6,4,8,7,1,3,5]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[1,4,6,2,3,8,7,5]=>[8,5,3,7,6,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[1,3,2,7,4,8,6,5]=>[8,6,7,2,5,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[7,2,1,6,3,8,5,4]=>[2,7,8,3,6,1,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[2,3,1,7,6,4,8,5]=>[7,6,8,2,3,5,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[4,5,2,1,7,3,8,6]=>[5,4,7,8,2,6,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[5,6,7,1,2,8,4,3]=>[4,3,2,8,7,1,5,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,7,5,1,2,8,6,3]=>[5,2,4,8,7,1,3,6]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[3,7,1,6,2,8,5,4]=>[6,2,8,3,7,1,4,5]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[7,6,1,2,8,5,4,3]=>[2,3,8,7,1,4,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[2,7,1,3,8,6,5,4]=>[7,2,8,6,1,3,4,5]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[8,6,1,2,7,5,4,3]=>[1,3,8,7,2,4,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[1,7,2,3,8,6,5,4]=>[8,2,7,6,1,3,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[8,7,1,2,6,5,4,3]=>[1,2,8,7,3,4,5,6]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[7,8,1,2,6,5,4,3]=>[2,1,8,7,3,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[3,8,1,6,2,7,5,4]=>[6,1,8,3,7,2,4,5]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[4,8,5,1,2,7,6,3]=>[5,1,4,8,7,2,3,6]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[5,6,8,1,2,7,4,3]=>[4,3,1,8,7,2,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[2,1,3,7,4,8,6,5]=>[7,8,6,2,5,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[4,1,5,3,8,2,7,6]=>[5,8,4,6,1,7,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[5,2,6,4,7,3,1,8]=>[4,7,3,5,2,6,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[7,6,4,5,2,8,1,3]=>[2,3,5,4,7,1,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[6,5,4,2,7,3,1,8]=>[3,4,5,7,2,6,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,4,1,8,3,2,6,7]=>[4,5,8,1,6,7,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,4,2,1,8,3,6,5]=>[2,5,7,8,1,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[6,1,5,3,8,2,7,4]=>[3,8,4,6,1,7,2,5]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[8,5,3,2,6,4,1,7]=>[1,4,6,7,3,5,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,3,1,7,2,5,4,6]=>[1,6,8,2,7,4,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[7,5,2,6,4,3,1,8]=>[2,4,7,3,5,6,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[7,1,6,2,5,4,3,8]=>[2,8,3,7,4,5,6,1]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,1,7,3,5,6,4,2]=>[1,8,2,6,4,3,5,7]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[8,6,1,7,4,5,2,3]=>[1,3,8,2,5,4,7,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[8,1,3,7,2,6,5,4]=>[1,8,6,2,7,3,4,5]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[7,3,8,4,5,2,6,1]=>[2,6,1,5,4,7,3,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[6,1,8,4,3,2,5,7]=>[3,8,1,5,6,7,4,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[6,1,7,4,2,5,3,8]=>[3,8,2,5,7,4,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[1,7,8,4,3,5,6,2]=>[8,2,1,5,6,4,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[1,6,2,8,3,5,7,4]=>[8,3,7,1,6,4,2,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[3,1,5,8,4,2,6,7]=>[6,8,4,1,5,7,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,3,1,6,8,2,7,5]=>[5,6,8,3,1,7,2,4]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[5,7,4,8,3,2,1,6]=>[4,2,5,1,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[6,4,7,5,3,2,1,8]=>[3,5,2,4,6,7,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[1,8,3,7,6,2,4,5]=>[8,1,6,2,3,7,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[6,8,2,4,7,5,1,3]=>[3,1,7,5,2,4,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,3,8,2,6,4,1,5]=>[2,6,1,7,3,5,8,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[7,2,8,6,3,5,1,4]=>[2,7,1,3,6,4,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[6,8,1,7,2,5,4,3]=>[3,1,8,2,7,4,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[3,8,7,4,5,6,1,2]=>[6,1,2,5,4,3,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[5,8,3,7,6,2,4,1]=>[4,1,6,2,3,7,5,8]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[8,4,7,5,3,2,1,6]=>[1,5,2,4,6,7,8,3]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[8,7,2,5,4,3,1,6]=>[1,2,7,4,5,6,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[1,5,7,8,4,3,6,2]=>[8,4,2,1,5,6,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[6,3,8,1,5,4,7,2]=>[3,6,1,8,4,5,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,2,1,8,5,4,7,3]=>[3,7,8,1,4,5,2,6]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[2,6,5,7,4,1,3,8]=>[7,3,4,2,5,8,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[2,5,6,8,4,3,7,1]=>[7,4,3,1,5,6,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[2,5,4,7,1,8,6,3]=>[7,4,5,2,8,1,3,6]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[5,2,1,8,7,6,4,3]=>[4,7,8,1,2,3,5,6]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[4,8,5,7,6,1,3,2]=>[5,1,4,2,3,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[4,8,6,7,5,3,1,2]=>[5,1,3,2,4,6,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[6,5,4,8,2,1,7,3]=>[3,4,5,1,7,8,2,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[5,8,4,7,2,6,3,1]=>[4,1,5,2,7,3,6,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[5,8,3,2,7,6,4,1]=>[4,1,6,7,2,3,5,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[5,2,1,4,3,6,7,8]=>[4,7,8,5,6,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[3,6,4,5,1,2,7,8]=>[6,3,5,4,8,7,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[4,2,1,6,5,3,7,8]=>[5,7,8,3,4,6,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[3,4,5,8,6,7,1,2]=>[6,5,4,1,3,2,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,5,4,6,1,8,7,2]=>[6,4,5,3,8,1,2,7]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[4,2,1,5,6,8,7,3]=>[5,7,8,4,3,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[10,3,1,5,2,7,4,9,6,8]=>[1,8,10,6,9,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8,9],[10]]=>[4,2,2,2]
[10,9,4,1,6,2,8,3,5,7]=>[1,2,7,10,5,9,3,8,6,4]=>[[1,2,3,4],[5,6],[7,8],[9],[10]]=>[5,2,3]
[10,9,8,5,1,7,2,3,4,6]=>[1,2,3,6,10,4,9,8,7,5]=>[[1,2,3,4,5],[6,7],[8],[9],[10]]=>[6,4]
[3,6,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,6,3]=>[[1,4,7],[2,5,8],[3,6,9]]=>[3,3,3]
[5,10,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,10,5]=>[[1,3,5,7,9],[2,4,6,8,10]]=>[2,2,2,2,2]
[2,1,7,3,8,4,6,5]=>[7,8,2,6,1,5,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,1,8,2,7,3,6,5]=>[5,8,1,7,2,6,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,1,7,2,8,3,6,5]=>[5,8,2,7,1,6,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,1,3,2,8,4,6,5]=>[2,8,6,7,1,5,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,1,8,2,4,3,6,5]=>[2,8,1,7,5,6,3,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[8,1,7,2,5,3,6,4]=>[1,8,2,7,4,6,3,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,1,5,2,8,3,6,4]=>[2,8,4,7,1,6,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[5,1,7,2,8,3,6,4]=>[4,8,2,7,1,6,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[5,1,8,2,7,3,6,4]=>[4,8,1,7,2,6,3,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,1,8,2,4,3,7,6]=>[4,8,1,7,5,6,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[8,1,6,2,4,3,7,5]=>[1,8,3,7,5,6,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,1,8,2,4,3,7,5]=>[3,8,1,7,5,6,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[6,1,8,2,5,3,7,4]=>[3,8,1,7,4,6,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[8,1,6,2,5,3,7,4]=>[1,8,3,7,4,6,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,1,6,2,7,3,5,4]=>[1,8,3,7,2,6,4,5]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,1,8,2,7,3,5,4]=>[3,8,1,7,2,6,4,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[6,1,7,2,8,3,5,4]=>[3,8,2,7,1,6,4,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[6,1,7,2,5,3,8,4]=>[3,8,2,7,4,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[6,1,7,2,4,3,8,5]=>[3,8,2,7,5,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,1,6,2,4,3,8,7]=>[4,8,3,7,5,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,1,5,2,4,3,8,6]=>[2,8,4,7,5,6,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,1,6,2,4,3,8,5]=>[2,8,3,7,5,6,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,1,6,2,5,3,8,4]=>[2,8,3,7,4,6,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,1,6,2,8,3,5,4]=>[2,8,3,7,1,6,4,5]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,1,8,2,6,3,5,4]=>[2,8,1,7,3,6,4,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[1,8,2,7,5,4,6,3]=>[8,1,7,2,4,5,3,6]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[1,8,2,7,4,3,5,6]=>[8,1,7,2,5,6,4,3]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[1,8,6,4,7,2,3,5]=>[8,1,3,5,2,7,6,4]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[1,8,4,2,6,3,5,7]=>[8,1,5,7,3,6,4,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[7,4,8,1,5,2,3,6]=>[2,5,1,8,4,7,6,3]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,1,7,2,6,3,5,8]=>[5,8,2,7,3,6,4,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[7,5,8,3,2,4,1,6]=>[2,4,1,6,7,5,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,8,5,4,3,6,2,7]=>[8,1,4,5,6,3,7,2]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[1,8,5,4,3,7,2,6]=>[8,1,4,5,6,2,7,3]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[1,8,5,4,7,2,6,3]=>[8,1,4,5,2,7,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[7,4,8,2,1,3,5,6]=>[2,5,1,7,8,6,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,5,4,8,2,3,6,1]=>[2,4,5,1,7,6,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[6,4,8,2,1,3,7,5]=>[3,5,1,7,8,6,2,4]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,3,8,1,5,6,2,4]=>[2,6,1,8,4,3,7,5]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[3,1,7,2,6,8,4,5]=>[6,8,2,7,3,1,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[5,1,7,4,2,6,8,3]=>[4,8,2,5,7,3,1,6]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[4,1,6,3,2,5,8,7]=>[5,8,3,6,7,4,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[6,5,4,3,7,1,8,2]=>[3,4,5,6,2,8,1,7]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[5,4,2,7,1,6,8,3]=>[4,5,7,2,8,3,1,6]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,5,1,7,3,8,2,4]=>[3,4,8,2,6,1,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,3,2,8,5,7,1,4]=>[3,6,7,1,4,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[6,5,4,3,8,2,7,1]=>[3,4,5,6,1,7,2,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[6,5,4,3,8,7,1,2]=>[3,4,5,6,1,2,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[7,6,3,8,5,4,1,2]=>[2,3,6,1,4,5,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[6,3,8,1,7,5,2,4]=>[3,6,1,8,2,4,7,5]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[6,5,8,3,1,7,4,2]=>[3,4,1,6,8,2,5,7]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[6,4,2,8,5,1,3,7]=>[3,5,7,1,4,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,6,4,8,5,1,2,3]=>[2,3,5,1,4,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,2,8,6,3,1,4,5]=>[2,7,1,3,6,8,5,4]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[7,2,8,6,1,5,3,4]=>[2,7,1,3,8,4,6,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[2,1,7,8,3,6,4,5]=>[7,8,2,1,6,3,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[5,4,1,7,8,2,6,3]=>[4,5,8,2,1,7,3,6]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[4,3,1,5,2,6,8,7]=>[5,6,8,4,7,3,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[5,4,2,1,6,7,8,3]=>[4,5,7,8,3,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[5,4,3,1,6,7,8,2]=>[4,5,6,8,3,2,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,3,8,1,2,5,7,4]=>[3,6,1,8,7,4,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[3,6,7,1,2,5,8,4]=>[6,3,2,8,7,4,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[7,8,3,1,2,5,6,4]=>[2,1,6,8,7,4,3,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[7,8,1,3,2,4,6,5]=>[2,1,8,6,7,5,3,4]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[7,8,2,1,3,5,4,6]=>[2,1,7,8,6,4,5,3]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[5,2,3,7,1,8,6,4]=>[4,7,6,2,8,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[2,5,3,6,1,8,7,4]=>[7,4,6,3,8,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[2,6,7,3,1,8,4,5]=>[7,3,2,6,8,1,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,6,7,1,3,5,4,8]=>[7,3,2,8,6,4,5,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,2,8,3,1,7,4,5]=>[3,7,1,6,8,2,5,4]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[3,2,5,7,1,8,4,6]=>[6,7,4,2,8,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[4,3,1,2,7,8,6,5]=>[5,6,8,7,2,1,3,4]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[5,1,2,7,3,6,4,8]=>[4,8,7,2,6,3,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[5,1,4,7,8,2,3,6]=>[4,8,5,2,1,7,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[5,3,4,7,8,6,1,2]=>[4,6,5,2,1,3,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[3,5,4,6,8,7,1,2]=>[6,4,5,3,1,2,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[1,5,4,6,8,2,3,7]=>[8,4,5,3,1,7,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[1,6,7,3,2,4,8,5]=>[8,3,2,6,7,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[1,5,3,6,2,7,8,4]=>[8,4,6,3,7,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[5,1,3,7,2,6,8,4]=>[4,8,6,2,7,3,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[5,2,4,7,8,1,6,3]=>[4,7,5,2,1,8,3,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[4,2,5,7,6,1,8,3]=>[5,7,4,2,3,8,1,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[4,5,2,8,6,1,7,3]=>[5,4,7,1,3,8,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[5,3,1,8,2,6,7,4]=>[4,6,8,1,7,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[6,1,8,3,2,4,7,5]=>[3,8,1,6,7,5,2,4]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[4,3,5,7,6,8,1,2]=>[5,6,4,2,3,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[4,1,5,7,6,2,3,8]=>[5,8,4,2,3,7,6,1]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,5,1,8,6,2,3,7]=>[5,4,8,1,3,7,6,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[5,2,1,8,3,6,4,7]=>[4,7,8,1,6,3,5,2]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[3,4,2,1,8,7,5,6]=>[6,5,7,8,1,2,4,3]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[7,6,5,4,2,1,8,3]=>[2,3,4,5,7,8,1,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[7,6,5,4,8,1,3,2]=>[2,3,4,5,1,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[8,7,6,5,4,2,1,9,3]=>[2,3,4,5,6,8,9,1,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[7,6,5,8,2,1,4,3]=>[2,3,4,1,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[8,5,4,3,2,1,7,6]=>[1,4,5,6,7,8,2,3]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[8,6,5,4,3,2,1,9,7]=>[2,4,5,6,7,8,9,1,3]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[7,6,5,4,3,2,1,9,8]=>[3,4,5,6,7,8,9,1,2]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[7,6,5,4,1,8,3,2]=>[2,3,4,5,8,1,6,7]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[9,8,7,6,5,4,2,1,10,3]=>[2,3,4,5,6,7,9,10,1,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[7,6,5,2,8,1,4,3]=>[2,3,4,7,1,8,5,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[7,6,5,8,4,1,3,2]=>[2,3,4,1,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[7,6,8,5,2,1,4,3]=>[2,3,1,4,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,8,6,3,2,1,5,4]=>[2,1,3,6,7,8,4,5]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[8,7,4,3,2,1,6,5]=>[1,2,5,6,7,8,3,4]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[9,6,5,4,3,2,1,8,7]=>[1,4,5,6,7,8,9,2,3]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[9,7,6,5,4,3,2,1,10,8]=>[2,4,5,6,7,8,9,10,1,3]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[7,8,2,4,5,1,3,6]=>[2,1,7,5,4,8,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[4,6,7,2,5,1,3,8]=>[5,3,2,7,4,8,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[7,8,1,3,2,4,5,6]=>[2,1,8,6,7,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[7,8,4,1,5,2,3,6]=>[2,1,5,8,4,7,6,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[3,6,7,2,1,4,5,8]=>[6,3,2,7,8,5,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[5,2,3,6,1,4,7,8]=>[4,7,6,3,8,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[2,5,3,6,1,4,7,8]=>[7,4,6,3,8,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[2,6,7,3,1,4,5,8]=>[7,3,2,6,8,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[4,6,7,1,5,2,3,8]=>[5,3,2,8,4,7,6,1]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[4,6,7,3,5,8,1,2]=>[5,3,2,6,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[6,4,7,1,5,2,3,8]=>[3,5,2,8,4,7,6,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[6,2,7,3,1,4,5,8]=>[3,7,2,6,8,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[3,2,5,6,1,4,7,8]=>[6,7,4,3,8,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,5,2,6,1,4,7,8]=>[6,4,7,3,8,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[5,1,4,6,7,2,3,8]=>[4,8,5,3,2,7,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[3,5,4,6,7,8,1,2]=>[6,4,5,3,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[1,5,4,6,7,2,3,8]=>[8,4,5,3,2,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[1,6,7,3,2,4,5,8]=>[8,3,2,6,7,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[5,1,3,6,2,4,7,8]=>[4,8,6,3,7,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[5,2,4,6,7,1,3,8]=>[4,7,5,3,2,8,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[2,5,4,6,7,1,3,8]=>[7,4,5,3,2,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[2,6,7,4,5,1,3,8]=>[7,3,2,5,4,8,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[4,2,5,6,7,1,3,8]=>[5,7,4,3,2,8,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[4,5,2,6,7,1,3,8]=>[5,4,7,3,2,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[5,3,1,6,2,4,7,8]=>[4,6,8,3,7,5,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[6,1,7,3,2,4,5,8]=>[3,8,2,6,7,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[6,1,7,4,5,2,3,8]=>[3,8,2,5,4,7,6,1]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[6,3,7,4,5,8,1,2]=>[3,6,2,5,4,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[5,4,1,6,7,2,3,8]=>[4,5,8,3,2,7,6,1]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,2,1,6,3,4,7,8]=>[4,7,8,3,6,5,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,3,5,4,2,1,6,8]=>[2,6,4,5,7,8,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[7,6,5,2,1,4,3,8]=>[2,3,4,7,8,5,6,1]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,3,6,7,5,2,8,4]=>[8,6,3,2,4,7,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[7,3,2,5,1,6,4,8]=>[2,6,7,4,8,3,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,6,5,4,1,3,2,8]=>[2,3,4,5,8,6,7,1]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[1,3,6,7,2,5,8,4]=>[8,6,3,2,7,4,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[1,3,4,5,8,7,2,6]=>[8,6,5,4,1,2,7,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[4,3,2,5,6,8,1,7]=>[5,6,7,4,3,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[2,3,4,5,8,1,7,6]=>[7,6,5,4,1,8,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,1,4,6,5,8,7,2]=>[6,8,5,3,4,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[3,7,5,4,6,8,2,1]=>[6,2,4,5,3,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[5,6,1,4,7,2,8,3]=>[4,3,8,5,2,7,1,6]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,3,1,7,6,5,8,2]=>[5,6,8,2,3,4,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,1,4,6,7,8,5,2]=>[6,8,5,3,2,1,4,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,4,5,2,6,8,7,3]=>[8,5,4,7,3,1,2,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[5,6,1,2,7,4,8,3]=>[4,3,8,7,2,5,1,6]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,3,5,2,4,7,8,1]=>[3,6,4,7,5,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[5,3,2,1,4,7,8,6]=>[4,6,7,8,5,2,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[5,3,1,2,4,7,8,6]=>[4,6,8,7,5,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[2,3,6,7,1,5,8,4]=>[7,6,3,2,8,4,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[2,3,6,7,5,1,8,4]=>[7,6,3,2,4,8,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[4,3,2,6,7,1,8,5]=>[5,6,7,3,2,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,3,4,5,8,6,1,2]=>[2,6,5,4,1,3,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[7,3,4,5,8,1,6,2]=>[2,6,5,4,1,8,3,7]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[1,3,4,5,8,2,7,6]=>[8,6,5,4,1,7,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[6,3,4,5,8,2,7,1]=>[3,6,5,4,1,7,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,3,4,5,8,6,2,1]=>[2,6,5,4,1,3,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,7,4,6,5,8,3,1]=>[7,2,5,3,4,1,6,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[7,1,5,4,6,8,3,2]=>[2,8,4,5,3,1,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[7,3,2,5,6,8,4,1]=>[2,6,7,4,3,1,5,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[6,3,4,5,8,1,2,7]=>[3,6,5,4,1,8,7,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,7,6,1,8,2,5,3]=>[5,2,3,8,1,7,4,6]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[4,8,6,1,7,5,2,3]=>[5,1,3,8,2,4,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[4,7,8,2,6,1,5,3]=>[5,2,1,7,3,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[8,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[8,4,7,3,6,5,1,2]=>[1,5,2,6,3,4,8,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[8,4,6,1,7,5,3,2]=>[1,5,3,8,2,4,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[7,8,4,3,6,2,5,1]=>[2,1,5,6,3,7,4,8]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[8,10,7,9,5,6,3,4,1,2]=>[3,1,4,2,6,5,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>[2,2,2,2,2]
[7,10,6,9,5,8,3,4,1,2]=>[4,1,5,2,6,3,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>[2,2,2,2,2]
[6,10,5,9,4,8,3,7,1,2]=>[5,1,6,2,7,3,8,4,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>[2,2,2,2,2]
[6,12,5,11,4,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,4,11,5,12,6]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[2,2,2,2,2,2]
[6,2,1,7,3,5,4,8]=>[3,7,8,2,6,4,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[2,1,8,6,3,5,4,7]=>[7,8,1,3,6,4,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[2,1,7,3,5,8,6,4]=>[7,8,2,6,4,1,3,5]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[2,7,3,1,5,4,6,8]=>[7,2,6,8,4,5,3,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,6,3,1,4,8,5,7]=>[7,3,6,8,5,1,4,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[4,2,1,8,3,6,7,5]=>[5,7,8,1,6,3,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[2,1,8,6,3,5,7,4]=>[7,8,1,3,6,4,2,5]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[6,2,1,7,3,5,8,4]=>[3,7,8,2,6,4,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[2,7,3,1,4,8,5,6]=>[7,2,6,8,5,1,4,3]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[3,2,1,6,4,5,7,8]=>[6,7,8,3,5,4,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[3,2,1,5,7,8,4,6]=>[6,7,8,4,2,1,5,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[2,1,7,3,6,8,4,5]=>[7,8,2,6,3,1,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[2,7,3,1,5,6,8,4]=>[7,2,6,8,4,3,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,4,7,5,1,6,8,3]=>[7,5,2,4,8,3,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[4,3,7,5,6,1,8,2]=>[5,6,2,4,3,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[4,3,6,8,5,1,7,2]=>[5,6,3,1,4,8,2,7]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[2,6,1,8,3,5,7,4]=>[7,3,8,1,6,4,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,1,6,8,3,7,4,5]=>[7,8,3,1,6,2,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[2,1,8,3,5,7,4,6]=>[7,8,1,6,4,2,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[3,2,1,5,6,8,4,7]=>[6,7,8,4,3,1,5,2]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[3,2,1,5,7,4,6,8]=>[6,7,8,4,2,5,3,1]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[2,1,7,3,6,4,5,8]=>[7,8,2,6,3,5,4,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[2,1,6,3,5,8,4,7]=>[7,8,3,6,4,1,5,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[8,2,4,1,7,5,6,3]=>[1,7,5,8,2,4,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[3,8,4,7,5,1,6,2]=>[6,1,5,2,4,8,3,7]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[8,4,3,6,1,7,5,2]=>[1,5,6,3,8,2,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[8,2,1,7,3,5,4,6]=>[1,7,8,2,6,4,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[2,6,1,8,3,5,4,7]=>[7,3,8,1,6,4,5,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,7,3,1,5,6,4,8]=>[7,2,6,8,4,3,5,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,4,7,5,1,6,3,8]=>[7,5,2,4,8,3,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[8,2,4,1,7,5,3,6]=>[1,7,5,8,2,4,6,3]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[5,8,6,3,1,7,4,2]=>[4,1,3,6,8,2,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,4,7,1,8,5,3,6]=>[7,5,2,8,1,4,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,4,8,5,1,6,3,7]=>[7,5,1,4,8,3,6,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[6,2,1,7,3,4,8,5]=>[3,7,8,2,6,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[6,2,1,7,8,3,5,4]=>[3,7,8,2,1,6,4,5]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[2,7,1,8,3,5,6,4]=>[7,2,8,1,6,4,3,5]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,1,8,3,6,4,5,7]=>[7,8,1,6,3,5,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[3,2,1,6,7,4,5,8]=>[6,7,8,3,2,5,4,1]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[3,2,1,7,4,5,6,8]=>[6,7,8,2,5,4,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[3,2,1,6,8,4,5,7]=>[6,7,8,3,1,5,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[2,1,8,3,7,4,5,6]=>[7,8,1,6,2,5,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[2,1,8,3,6,7,4,5]=>[7,8,1,6,3,2,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[2,4,8,5,1,6,7,3]=>[7,5,1,4,8,3,2,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[4,3,8,5,6,1,7,2]=>[5,6,1,4,3,8,2,7]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,2,1,8,4,5,6,7]=>[6,7,8,1,5,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[6,1,5,8,2,4,7,3]=>[3,8,4,1,7,5,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,2,4,8,3,6,7,5]=>[8,7,5,1,6,3,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[4,1,2,7,8,3,6,5]=>[5,8,7,2,1,6,3,4]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[3,5,7,4,8,6,1,2]=>[6,4,2,5,1,3,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[5,3,8,4,7,6,1,2]=>[4,6,1,5,2,3,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[8,7,1,2,5,4,6,3]=>[1,2,8,7,4,5,3,6]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[5,8,1,2,3,7,6,4]=>[4,1,8,7,6,2,3,5]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[1,2,7,3,8,5,4,6]=>[8,7,2,6,1,4,5,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[4,1,2,7,8,6,3,5]=>[5,8,7,2,1,3,6,4]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[1,6,4,2,7,3,5,8]=>[8,3,5,7,2,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,8,6,3,2,4,5,7]=>[8,1,3,6,7,5,4,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[1,8,7,2,4,5,6,3]=>[8,1,2,7,5,4,3,6]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[1,8,7,3,5,6,2,4]=>[8,1,2,6,4,3,7,5]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[1,8,3,2,6,4,5,7]=>[8,1,6,7,3,5,4,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,2,8,4,3,7,5,6]=>[8,7,1,5,6,2,4,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[8,5,1,7,2,4,6,3]=>[1,4,8,2,7,5,3,6]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[1,2,7,5,3,6,4,8]=>[8,7,2,4,6,3,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,7,4,8,6,5,1,2]=>[6,2,5,1,3,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,9,8,7,6,5,4,1,3]=>[8,1,2,3,4,5,6,9,7]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[2,8,7,6,5,1,4,3]=>[7,1,2,3,4,8,5,6]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[2,7,6,3,1,5,8,4]=>[7,2,3,6,8,4,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[7,6,1,4,3,5,2,8]=>[2,3,8,5,6,4,7,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[7,4,1,3,5,2,6,8]=>[2,5,8,6,4,7,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[7,3,1,2,4,6,5,8]=>[2,6,8,7,5,3,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[3,1,7,2,4,6,8,5]=>[6,8,2,7,5,3,1,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[3,6,7,4,1,5,8,2]=>[6,3,2,5,8,4,1,7]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[4,3,2,7,1,5,8,6]=>[5,6,7,2,8,4,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[3,1,2,8,6,5,4,7]=>[6,8,7,1,3,4,5,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[5,6,8,7,4,3,1,2]=>[4,3,1,2,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[1,8,2,7,4,3,6,5]=>[8,1,7,2,5,6,3,4]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[6,4,8,5,3,1,7,2]=>[3,5,1,4,6,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[4,1,6,3,5,8,2,7]=>[5,8,3,6,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[1,8,4,5,2,6,7,3]=>[8,1,5,4,7,3,2,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[5,6,7,3,2,8,1,4]=>[4,3,2,6,7,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[5,3,2,1,4,8,6,7]=>[4,6,7,8,5,1,3,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,6,1,3,8,5,4,2]=>[2,3,8,6,1,4,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[3,4,7,8,1,2,6,5]=>[6,5,2,1,8,7,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[3,6,7,8,1,4,5,2]=>[6,3,2,1,8,5,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[3,6,2,8,1,5,4,7]=>[6,3,7,1,8,4,5,2]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[3,1,6,4,8,2,5,7]=>[6,8,3,5,1,7,4,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[7,3,2,6,8,5,1,4]=>[2,6,7,3,1,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[7,3,5,8,4,6,1,2]=>[2,6,4,1,5,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[7,4,5,8,2,1,3,6]=>[2,5,4,1,7,8,6,3]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[7,5,4,8,3,6,2,1]=>[2,4,5,1,6,3,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[7,1,5,4,8,3,6,2]=>[2,8,4,5,1,6,3,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,4,6,3,7,2,5,1]=>[1,5,3,6,2,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[2,5,6,8,3,4,1,7]=>[7,4,3,1,6,5,8,2]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[8,4,6,2,7,5,3,1]=>[1,5,3,7,2,4,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[2,5,6,8,4,3,1,7]=>[7,4,3,1,5,6,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,5,7,8,4,1,3,6]=>[7,4,2,1,5,8,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[4,3,2,6,8,5,1,7]=>[5,6,7,3,1,4,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[3,5,6,8,4,2,1,7]=>[6,4,3,1,5,7,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,6,7,8,1,4,5,3]=>[7,3,2,1,8,5,4,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[3,6,7,8,1,4,2,5]=>[6,3,2,1,8,5,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[3,5,7,8,2,1,4,6]=>[6,4,2,1,7,8,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[2,6,7,8,1,4,3,5]=>[7,3,2,1,8,5,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[6,5,7,8,3,1,4,2]=>[3,4,2,1,6,8,5,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[2,5,7,8,3,1,4,6]=>[7,4,2,1,6,8,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[2,4,7,3,8,1,5,6]=>[7,5,2,6,1,8,4,3]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[6,4,7,3,8,1,2,5]=>[3,5,2,6,1,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[6,4,5,2,3,8,1,7]=>[3,5,4,7,6,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[6,4,5,3,2,8,1,7]=>[3,5,4,6,7,1,8,2]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,4,7,3,8,1,6,2]=>[4,5,2,6,1,8,3,7]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[4,5,7,8,3,1,2,6]=>[5,4,2,1,6,8,7,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[5,4,6,2,8,3,1,7]=>[4,5,3,7,1,6,8,2]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[5,3,2,6,8,4,1,7]=>[4,6,7,3,1,5,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[4,5,7,8,2,1,3,6]=>[5,4,2,1,7,8,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[4,6,7,8,1,3,2,5]=>[5,3,2,1,8,6,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,6,7,8,1,3,5,2]=>[5,3,2,1,8,6,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,6,7,8,1,5,2,3]=>[5,3,2,1,8,4,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,5,7,8,2,1,6,3]=>[5,4,2,1,7,8,3,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[5,3,2,7,8,1,6,4]=>[4,6,7,2,1,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[4,3,2,7,8,1,6,5]=>[5,6,7,2,1,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[3,6,7,8,1,2,5,4]=>[6,3,2,1,8,7,4,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[3,6,7,8,1,5,2,4]=>[6,3,2,1,8,4,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[3,6,7,8,1,5,4,2]=>[6,3,2,1,8,4,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,6,7,8,1,5,4,3]=>[7,3,2,1,8,4,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[3,4,5,6,7,1,8,2,9]=>[7,6,5,4,3,9,2,8,1]=>[[1,6],[2,8],[3],[4],[5],[7],[9]]=>[5,2,2]
[1,4,5,6,7,8,2,9,3]=>[9,6,5,4,3,2,8,1,7]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[6,2,1]
[4,2,7,1,5,3,8,6]=>[5,7,2,8,4,6,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[4,2,8,6,1,5,3,7]=>[5,7,1,3,8,4,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,2,6,7,5,1,4,8]=>[6,7,3,2,4,8,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[2,7,1,3,5,4,8,6]=>[7,2,8,6,4,5,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,7,2,1,5,8,6,3]=>[5,2,7,8,4,1,3,6]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[7,2,1,3,5,8,6,4]=>[2,7,8,6,4,1,3,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[2,3,6,4,7,1,5,8]=>[7,6,3,5,2,8,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[1,3,4,8,2,7,5,6]=>[8,6,5,1,7,2,4,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[3,1,4,8,2,6,7,5]=>[6,8,5,1,7,3,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[8,3,1,6,2,5,7,4]=>[1,6,8,3,7,4,2,5]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[4,8,6,2,1,5,7,3]=>[5,1,3,7,8,4,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[4,8,3,6,5,1,7,2]=>[5,1,6,3,4,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[6,4,7,3,5,1,8,2]=>[3,5,2,6,4,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[6,4,7,5,1,8,2,3]=>[3,5,2,4,8,1,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[3,6,1,7,5,8,2,4]=>[6,3,8,2,4,1,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[7,3,5,1,6,8,2,4]=>[2,6,4,8,3,1,7,5]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,7,3,5,6,1,8,2]=>[5,2,6,4,3,8,1,7]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[3,4,6,8,5,1,7,2]=>[6,5,3,1,4,8,2,7]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,6,8,2,1,5,7,3]=>[5,3,1,7,8,4,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[6,8,2,1,3,5,7,4]=>[3,1,7,8,6,4,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[1,8,2,3,5,7,4,6]=>[8,1,7,6,4,2,5,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[2,7,3,6,1,4,5,8]=>[7,2,6,3,8,5,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[2,6,1,3,5,8,4,7]=>[7,3,8,6,4,1,5,2]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[7,3,2,5,6,1,4,8]=>[2,6,7,4,3,8,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[4,7,5,2,6,1,3,8]=>[5,2,4,7,3,8,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[4,6,2,8,1,5,3,7]=>[5,3,7,1,8,4,6,2]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[8,4,1,2,7,5,3,6]=>[1,5,8,7,2,4,6,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,5,6,2,7,1,3,8]=>[5,4,3,7,2,8,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[8,5,1,2,6,3,4,7]=>[1,4,8,7,3,6,5,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[1,6,2,7,4,8,3,5]=>[8,3,7,2,5,1,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[6,2,1,7,8,5,3,4]=>[3,7,8,2,1,4,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[6,7,3,8,4,1,5,2]=>[3,2,6,1,5,8,4,7]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[2,7,8,4,1,5,6,3]=>[7,2,1,5,8,4,3,6]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[2,7,1,8,5,6,3,4]=>[7,2,8,1,4,3,6,5]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[8,2,5,1,6,7,3,4]=>[1,7,4,8,3,2,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[8,2,4,5,1,6,7,3]=>[1,7,5,4,8,3,2,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[3,8,4,5,6,1,7,2]=>[6,1,5,4,3,8,2,7]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[4,5,8,3,6,7,1,2]=>[5,4,1,6,3,2,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[4,5,8,3,7,6,1,2]=>[5,4,1,6,2,3,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[4,2,8,3,7,1,6,5]=>[5,7,1,6,2,8,3,4]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,2,3,4,8,1,6,5]=>[2,7,6,5,1,8,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[7,2,3,4,8,1,5,6]=>[2,7,6,5,1,8,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[7,6,3,4,8,5,1,2]=>[2,3,6,5,1,4,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[7,6,3,5,8,4,1,2]=>[2,3,6,4,1,5,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[7,6,3,8,4,5,1,2]=>[2,3,6,1,5,4,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[7,2,3,8,5,1,4,6]=>[2,7,6,1,4,8,5,3]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[7,2,3,8,5,1,6,4]=>[2,7,6,1,4,8,3,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[2,6,4,8,1,5,7,3]=>[7,3,5,1,8,4,2,6]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[7,2,3,8,4,1,5,6]=>[2,7,6,1,5,8,4,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[7,2,3,5,8,1,4,6]=>[2,7,6,4,1,8,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[7,8,2,3,6,1,4,5]=>[2,1,7,6,3,8,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[7,8,2,3,6,1,5,4]=>[2,1,7,6,3,8,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,2,6,3,7,1,5,8]=>[5,7,3,6,2,8,4,1]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[7,2,3,5,8,1,6,4]=>[2,7,6,4,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[7,2,3,8,4,1,6,5]=>[2,7,6,1,5,8,3,4]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[2,6,4,8,1,3,7,5]=>[7,3,5,1,8,6,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[3,6,4,8,1,7,5,2]=>[6,3,5,1,8,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[7,6,5,1,2,3,8,4]=>[2,3,4,8,7,6,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,6,5,1,4,2,8,3]=>[2,3,4,8,5,7,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[2,6,4,5,1,8,7,3]=>[7,3,5,4,8,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[3,5,6,4,1,2,7,8]=>[6,4,3,5,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[7,8,5,4,1,2,6,3]=>[2,1,4,5,8,7,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[3,5,6,4,1,2,8,7]=>[6,4,3,5,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[7,6,5,1,4,2,3,8]=>[2,3,4,8,5,7,6,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[7,6,5,1,2,4,3,8]=>[2,3,4,8,7,5,6,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,6,5,1,2,4,8,3]=>[2,3,4,8,7,5,1,6]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[7,6,5,1,3,2,8,4]=>[2,3,4,8,6,7,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[7,6,5,1,3,2,4,8]=>[2,3,4,8,6,7,5,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[7,6,5,1,3,4,2,8]=>[2,3,4,8,6,5,7,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,2,3,4,5,1,8,6]=>[2,7,6,5,4,8,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[2,6,4,3,1,5,8,7]=>[7,3,5,6,8,4,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,6,4,3,1,8,5,7]=>[7,3,5,6,8,1,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,6,4,3,1,8,7,5]=>[7,3,5,6,8,1,2,4]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,5,8,4,1,2,7,6]=>[6,4,1,5,8,7,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[3,5,8,4,1,2,6,7]=>[6,4,1,5,8,7,3,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,5,8,4,1,6,2,7]=>[6,4,1,5,8,3,7,2]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[4,2,8,3,6,1,7,5]=>[5,7,1,6,3,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,5,8,4,1,6,7,2]=>[6,4,1,5,8,3,2,7]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[2,5,8,4,1,7,3,6]=>[7,4,1,5,8,2,6,3]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[3,6,4,2,1,7,8,5]=>[6,3,5,7,8,2,1,4]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[3,6,4,2,1,7,5,8]=>[6,3,5,7,8,2,4,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[3,5,6,4,1,8,7,2]=>[6,4,3,5,8,1,2,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[2,6,4,5,1,3,7,8]=>[7,3,5,4,8,6,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[7,6,5,1,4,3,8,2]=>[2,3,4,8,5,6,1,7]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[7,6,5,1,2,8,4,3]=>[2,3,4,8,7,1,5,6]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[7,6,5,1,2,8,3,4]=>[2,3,4,8,7,1,6,5]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,6,5,1,8,2,4,3]=>[2,3,4,8,1,7,5,6]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,6,5,1,8,2,3,4]=>[2,3,4,8,1,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,6,5,1,8,3,2,4]=>[2,3,4,8,1,6,7,5]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[7,6,5,1,4,8,2,3]=>[2,3,4,8,5,1,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[3,6,4,5,1,7,2,8]=>[6,3,5,4,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,5,6,4,1,7,8,3]=>[7,4,3,5,8,2,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[7,8,5,4,1,6,3,2]=>[2,1,4,5,8,3,6,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[2,5,6,4,1,7,3,8]=>[7,4,3,5,8,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[3,6,4,5,1,7,8,2]=>[6,3,5,4,8,2,1,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[7,6,5,1,4,8,3,2]=>[2,3,4,8,5,1,6,7]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[7,6,5,1,8,3,4,2]=>[2,3,4,8,1,6,5,7]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,6,5,1,8,4,2,3]=>[2,3,4,8,1,5,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[7,8,6,2,1,3,5,4]=>[2,1,3,7,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[3,7,6,1,2,8,4,5]=>[6,2,3,8,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[2,6,5,3,1,4,8,7]=>[7,3,4,6,8,5,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[3,6,1,4,2,5,8,7]=>[6,3,8,5,7,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,6,4,5,7,8,1,3]=>[7,3,5,4,2,1,8,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[6,1,3,4,2,8,7,5]=>[3,8,6,5,7,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[6,8,2,7,4,3,5,1]=>[3,1,7,2,5,6,4,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,7,3,2,1,5,4,6]=>[1,2,6,7,8,4,5,3]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[3,8,5,1,7,2,4,6]=>[6,1,4,8,2,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[6,2,3,8,4,7,5,1]=>[3,7,6,1,5,2,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[8,3,7,4,6,1,2,5]=>[1,6,2,5,3,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[7,1,3,8,6,4,5,2]=>[2,8,6,1,3,5,4,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[7,4,2,1,8,6,5,3]=>[2,5,7,8,1,3,4,6]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[4,6,7,2,5,8,3,1]=>[5,3,2,7,4,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,6,2,5,3,8,1,4]=>[2,3,7,4,6,1,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[6,2,1,3,4,8,7,5]=>[3,7,8,6,5,1,2,4]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[5,4,3,1,8,7,2,6]=>[4,5,6,8,1,2,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[6,1,4,3,8,5,2,7]=>[3,8,5,6,1,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,2,3,1,7,8,6,5]=>[5,7,6,8,2,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[2,7,6,8,1,5,3,4]=>[7,2,3,1,8,4,6,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[3,6,8,1,5,2,4,7]=>[6,3,1,8,4,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,2,8,7,4,5,1,6]=>[6,7,1,2,5,4,8,3]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[6,2,8,1,7,5,4,3]=>[3,7,1,8,2,4,5,6]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[2,6,5,4,8,1,3,7]=>[7,3,4,5,1,8,6,2]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[6,5,3,4,8,1,7,2]=>[3,4,6,5,1,8,2,7]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,4,3,2,5,1,7,6]=>[1,5,6,7,4,8,2,3]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[5,1,8,2,6,4,3,7]=>[4,8,1,7,3,5,6,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[7,4,8,6,2,1,3,5]=>[2,5,1,3,7,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[4,6,2,8,3,7,5,1]=>[5,3,7,1,6,2,4,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[2,1,5,8,3,6,4,7]=>[7,8,4,1,6,3,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[2,8,5,3,6,7,1,4]=>[7,1,4,6,3,2,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[7,8,5,6,4,1,3,2]=>[2,1,4,3,5,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[5,8,4,1,6,3,7,2]=>[4,1,5,8,3,6,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[7,6,8,3,5,1,4,2]=>[2,3,1,6,4,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[5,3,8,7,6,1,4,2]=>[4,6,1,2,3,8,5,7]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[6,5,8,4,7,1,3,2]=>[3,4,1,5,2,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[6,7,4,2,5,3,1,8]=>[3,2,5,7,4,6,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[7,6,4,8,3,1,5,2]=>[2,3,5,1,6,8,4,7]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[7,4,8,5,6,1,3,2]=>[2,5,1,4,3,8,6,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[4,2,7,5,6,3,1,8]=>[5,7,2,4,3,6,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[3,4,7,5,6,2,1,8]=>[6,5,2,4,3,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[3,7,2,5,6,4,1,8]=>[6,2,7,4,3,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[7,8,3,5,6,1,4,2]=>[2,1,6,4,3,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[1,6,8,5,2,7,4,3]=>[8,3,1,4,7,2,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,7,4,8,2,1,5,3]=>[3,2,5,1,7,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[3,2,7,8,6,1,5,4]=>[6,7,2,1,3,8,4,5]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[6,8,4,1,2,3,7,5]=>[3,1,5,8,7,6,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[4,1,8,5,6,3,2,7]=>[5,8,1,4,3,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[1,8,2,5,6,4,3,7]=>[8,1,7,4,3,5,6,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[6,1,8,5,3,7,4,2]=>[3,8,1,4,6,2,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[3,8,1,5,2,7,6,4]=>[6,1,8,4,7,2,3,5]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[8,2,1,5,3,7,6,4]=>[1,7,8,4,6,2,3,5]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[1,5,2,4,6,7,8,3]=>[8,4,7,5,3,2,1,6]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[7,1,4,6,3,2,8,5]=>[2,8,5,3,6,7,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[8,6,3,5,1,7,2,4]=>[1,3,6,4,8,2,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[3,5,2,1,6,7,8,4]=>[6,4,7,8,3,2,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[5,2,3,1,6,7,8,4]=>[4,7,6,8,3,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[7,5,4,6,1,2,8,3]=>[2,4,5,3,8,7,1,6]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[3,8,7,5,6,1,2,4]=>[6,1,2,4,3,8,7,5]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[8,2,7,5,6,1,3,4]=>[1,7,2,4,3,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[4,8,6,5,1,7,3,2]=>[5,1,3,4,8,2,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[5,7,4,6,1,3,8,2]=>[4,2,5,3,8,6,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[5,2,4,3,7,1,8,6]=>[4,7,5,6,2,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[3,5,4,2,7,1,8,6]=>[6,4,5,7,2,8,1,3]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[8,6,4,1,3,5,2,7]=>[1,3,5,8,6,4,7,2]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,5,4,1,2,6,8,3]=>[2,4,5,8,7,3,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,7,4,2,3,6,8,5]=>[8,2,5,7,6,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[1,8,2,5,3,7,6,4]=>[8,1,7,4,6,2,3,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[8,2,1,5,6,4,3,7]=>[1,7,8,4,3,5,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[3,8,1,5,6,4,2,7]=>[6,1,8,4,3,5,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[3,2,8,1,6,5,4,7]=>[6,7,1,8,3,4,5,2]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[3,2,6,1,5,7,8,4]=>[6,7,3,8,4,2,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[3,5,1,4,6,7,8,2]=>[6,4,8,5,3,2,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[5,2,1,4,6,7,8,3]=>[4,7,8,5,3,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[5,4,1,3,6,7,8,2]=>[4,5,8,6,3,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,5,4,1,3,2,8,6]=>[2,4,5,8,6,7,1,3]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,1,3,5,4,7,2,6]=>[1,8,6,4,5,2,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,1,3,4,6,7,8,2]=>[4,8,6,5,3,2,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[3,1,8,2,5,7,4,6]=>[6,8,1,7,4,2,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[8,3,2,6,1,4,7,5]=>[1,6,7,3,8,5,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[2,8,1,6,4,3,7,5]=>[7,1,8,3,5,6,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[2,6,1,3,8,7,5,4]=>[7,3,8,6,1,2,4,5]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[2,5,7,1,3,8,6,4]=>[7,4,2,8,6,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,6,8,1,5,7,4,3]=>[7,3,1,8,4,2,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[2,7,1,5,8,4,6,3]=>[7,2,8,4,1,5,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[2,7,1,6,4,8,3,5]=>[7,2,8,3,5,1,6,4]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[2,7,1,6,5,3,8,4]=>[7,2,8,3,4,6,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[2,8,1,7,6,5,4,3]=>[7,1,8,2,3,4,5,6]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[8,3,2,7,1,6,5,4]=>[1,6,7,2,8,3,4,5]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[4,1,7,2,8,6,5,3]=>[5,8,2,7,1,3,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[3,7,1,8,6,5,4,2]=>[6,2,8,1,3,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,7,6,1,4,2,5,8]=>[6,2,3,8,5,7,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[3,7,5,1,4,6,8,2]=>[6,2,4,8,5,3,1,7]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[3,6,8,5,1,4,7,2]=>[6,3,1,4,8,5,2,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[7,3,5,8,2,1,4,6]=>[2,6,4,1,7,8,5,3]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[7,3,6,2,1,4,5,8]=>[2,6,3,7,8,5,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,3,6,2,1,5,4,8]=>[2,6,3,7,8,4,5,1]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,4,2,8,1,6,5,3]=>[2,5,7,1,8,3,4,6]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[8,7,5,3,2,1,6,4]=>[1,2,4,6,7,8,3,5]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[7,5,2,6,3,1,4,8]=>[2,4,7,3,6,8,5,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,4,6,2,1,8,3,5]=>[2,5,3,7,8,1,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,8,4,5,2,1,7,3]=>[3,1,5,4,7,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[4,6,8,5,1,7,3,2]=>[5,3,1,4,8,2,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[4,7,5,1,3,8,6,2]=>[5,2,4,8,6,1,3,7]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[5,1,7,6,3,8,2,4]=>[4,8,2,3,6,1,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[5,1,7,6,4,2,8,3]=>[4,8,2,3,5,7,1,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[5,1,8,7,6,4,3,2]=>[4,8,1,2,3,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[8,5,2,1,7,6,4,3]=>[1,4,7,8,2,3,5,6]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[8,5,2,1,6,3,7,4]=>[1,4,7,8,3,6,2,5]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[5,1,8,6,3,2,7,4]=>[4,8,1,3,6,7,2,5]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,6,1,7,4,8,2,5]=>[6,3,8,2,5,1,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[4,1,8,6,3,7,2,5]=>[5,8,1,3,6,2,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[8,4,2,5,7,3,1,6]=>[1,5,7,4,2,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[3,4,6,8,5,7,1,2]=>[6,5,3,1,4,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,4,8,2,7,3,6,1]=>[4,5,1,7,2,6,3,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,4,8,7,3,6,1,2]=>[4,5,1,2,6,3,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[8,5,4,7,3,6,2,1]=>[1,4,5,2,6,3,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[6,4,3,8,7,1,2,5]=>[3,5,6,1,2,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,3,7,2,4,8,1,5]=>[3,6,2,7,5,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[5,6,8,4,2,7,3,1]=>[4,3,1,5,7,2,6,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[5,7,4,2,8,1,3,6]=>[4,2,5,7,1,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[6,5,2,7,1,3,8,4]=>[3,4,7,2,8,6,1,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[8,6,5,4,2,1,7,3]=>[1,3,4,5,7,8,2,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[6,4,7,3,1,8,2,5]=>[3,5,2,6,8,1,7,4]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[5,7,4,3,8,6,1,2]=>[4,2,5,6,1,3,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[7,5,8,4,6,3,2,1]=>[2,4,1,5,3,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[7,6,4,8,3,5,2,1]=>[2,3,5,1,6,4,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[7,6,5,3,8,2,4,1]=>[2,3,4,6,1,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[6,5,4,3,2,1,9,8,7]=>[4,5,6,7,8,9,1,2,3]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,2]
[6,5,4,3,2,1,8,7,9]=>[4,5,6,7,8,9,2,3,1]=>[[1,2,3,4,5,6],[7,8],[9]]=>[7,2]
[5,4,3,2,1,9,8,7,6]=>[5,6,7,8,9,1,2,3,4]=>[[1,2,3,4,5],[6,7,8,9]]=>[6,3]
[4,3,2,1,8,7,6,5,9]=>[6,7,8,9,2,3,4,5,1]=>[[1,2,3,4],[5,6,7,8],[9]]=>[5,4]
[2,1,4,3,5,6,7,8,9]=>[8,9,6,7,5,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>[3,6]
[7,6,5,4,3,2,1,10,9,8]=>[4,5,6,7,8,9,10,1,2,3]=>[[1,2,3,4,5,6,7],[8,9,10]]=>[8,2]
[7,6,5,4,3,2,1,9,8,10]=>[4,5,6,7,8,9,10,2,3,1]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[8,2]
[3,2,1,6,5,4,9,8,7,10]=>[8,9,10,5,6,7,2,3,4,1]=>[[1,2,3],[4,5,6],[7,8,9],[10]]=>[4,3,3]
[5,6,3,7,4,2,1,8]=>[4,3,6,2,5,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[7,6,3,8,5,1,4,2]=>[2,3,6,1,4,8,5,7]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[6,4,8,1,3,2,5,7]=>[3,5,1,8,6,7,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,4,8,6,3,1,5,2]=>[2,5,1,3,6,8,4,7]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[4,2,7,6,5,3,1,8]=>[5,7,2,3,4,6,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[8,1,3,4,5,2,6,7]=>[1,8,6,5,4,7,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[6,7,4,8,5,1,2,3]=>[3,2,5,1,4,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[3,2,8,1,5,4,6,7]=>[6,7,1,8,4,5,3,2]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[1,4,8,5,2,6,7,3]=>[8,5,1,4,7,3,2,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[6,1,8,4,3,7,2,5]=>[3,8,1,5,6,2,7,4]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[6,1,8,5,3,2,7,4]=>[3,8,1,4,6,7,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[3,2,6,4,1,8,7,5]=>[6,7,3,5,8,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[7,6,4,3,1,8,2,5]=>[2,3,5,6,8,1,7,4]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[3,5,2,1,8,7,6,4]=>[6,4,7,8,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,4,2,1,7,8,6,3]=>[4,5,7,8,2,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,2,7,6,5,1,3,4]=>[1,7,2,3,4,8,6,5]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,6,2,7,1,4,5,3]=>[1,3,7,2,8,5,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[1,7,3,6,2,8,5,4]=>[8,2,6,3,7,1,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[7,6,3,2,1,8,5,4]=>[2,3,6,7,8,1,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[8,6,3,7,4,1,2,5]=>[1,3,6,2,5,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,2,3,4,7,1,8,6]=>[4,7,6,5,2,8,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[8,6,3,1,4,5,7,2]=>[1,3,6,8,5,4,2,7]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[5,8,3,1,2,4,7,6]=>[4,1,6,8,7,5,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[8,1,3,2,4,5,6,7]=>[1,8,6,7,5,4,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[8,4,1,7,2,3,6,5]=>[1,5,8,2,7,6,3,4]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,2,1,6,5,4,7,3]=>[1,7,8,3,4,5,2,6]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[3,8,1,5,6,4,7,2]=>[6,1,8,4,3,5,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[3,2,8,1,6,5,7,4]=>[6,7,1,8,3,4,2,5]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[3,5,1,4,6,7,2,8]=>[6,4,8,5,3,2,7,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[4,5,8,2,1,3,7,6]=>[5,4,1,7,8,6,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[4,2,1,3,5,8,7,6]=>[5,7,8,6,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[8,1,4,3,5,6,7,2]=>[1,8,5,6,4,3,2,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[4,1,3,2,5,7,6,8]=>[5,8,6,7,4,2,3,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[6,8,2,4,5,1,3,7]=>[3,1,7,5,4,8,6,2]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[4,6,7,3,1,5,2,8]=>[5,3,2,6,8,4,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[6,8,1,3,5,2,7,4]=>[3,1,8,6,4,7,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[6,8,3,1,4,5,7,2]=>[3,1,6,8,5,4,2,7]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[4,5,2,7,1,6,8,3]=>[5,4,7,2,8,3,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[4,1,2,8,5,7,3,6]=>[5,8,7,1,4,2,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[5,1,4,8,6,2,7,3]=>[4,8,5,1,3,7,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[7,2,4,8,1,5,3,6]=>[2,7,5,1,8,4,6,3]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[4,6,3,1,7,8,5,2]=>[5,3,6,8,2,1,4,7]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[5,3,1,6,7,8,4,2]=>[4,6,8,3,2,1,5,7]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[2,1,3,4,8,7,5,6]=>[7,8,6,5,1,2,4,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[4,8,3,7,6,5,1,2]=>[5,1,6,2,3,4,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[6,3,8,7,5,4,1,2]=>[3,6,1,2,4,5,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[5,3,8,7,6,4,1,2]=>[4,6,1,2,3,5,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[2,8,7,6,1,5,4,3]=>[7,1,2,3,8,4,5,6]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[5,2,8,7,6,1,4,3]=>[4,7,1,2,3,8,5,6]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[7,8,2,6,5,1,4,3]=>[2,1,7,3,4,8,5,6]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[6,1,8,7,5,4,3,2]=>[3,8,1,2,4,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[3,1,8,7,6,5,4,2]=>[6,8,1,2,3,4,5,7]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[7,8,2,6,1,5,4,3]=>[2,1,7,3,8,4,5,6]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[6,2,8,7,1,5,4,3]=>[3,7,1,2,8,4,5,6]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[4,8,2,7,6,1,5,3]=>[5,1,7,2,3,8,4,6]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[3,8,7,2,1,6,5,4]=>[6,1,2,7,8,3,4,5]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[6,5,8,7,1,4,3,2]=>[3,4,1,2,8,5,6,7]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[4,8,1,7,6,5,3,2]=>[5,1,8,2,3,4,6,7]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[5,4,1,8,7,6,3,2]=>[4,5,8,1,2,3,6,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[6,4,8,1,7,5,3,2]=>[3,5,1,8,2,4,6,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[7,8,4,1,6,5,3,2]=>[2,1,5,8,3,4,6,7]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[7,8,3,1,6,5,4,2]=>[2,1,6,8,3,4,5,7]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,3,8,1,7,5,4,2]=>[3,6,1,8,2,4,5,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[5,3,1,8,7,6,4,2]=>[4,6,8,1,2,3,5,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[7,8,2,1,6,5,4,3]=>[2,1,7,8,3,4,5,6]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,5,3,1,8,7,4,2]=>[3,4,6,8,1,2,5,7]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[6,4,3,1,8,7,5,2]=>[3,5,6,8,1,2,4,7]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[5,4,3,1,8,7,6,2]=>[4,5,6,8,1,2,3,7]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[7,5,2,1,8,6,4,3]=>[2,4,7,8,1,3,5,6]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[5,4,2,1,8,7,6,3]=>[4,5,7,8,1,2,3,6]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[7,3,2,1,8,6,5,4]=>[2,6,7,8,1,3,4,5]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[6,3,2,1,8,7,5,4]=>[3,6,7,8,1,2,4,5]=>[[1,2,3,4],[5,6,7,8]]=>[5,3]
[9,7,5,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,5,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,7,5,3,1,10,9,6,4,2]=>[3,4,6,8,10,1,2,5,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[9,6,5,3,1,10,8,7,4,2]=>[2,5,6,8,10,1,3,4,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,6,5,3,1,10,9,7,4,2]=>[3,5,6,8,10,1,2,4,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[7,6,5,3,1,10,9,8,4,2]=>[4,5,6,8,10,1,2,3,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[9,7,4,3,1,10,8,6,5,2]=>[2,4,7,8,10,1,3,5,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,7,4,3,1,10,9,6,5,2]=>[3,4,7,8,10,1,2,5,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[9,6,4,3,1,10,8,7,5,2]=>[2,5,7,8,10,1,3,4,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,6,4,3,1,10,9,7,5,2]=>[3,5,7,8,10,1,2,4,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[7,6,4,3,1,10,9,8,5,2]=>[4,5,7,8,10,1,2,3,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[9,5,4,3,1,10,8,7,6,2]=>[2,6,7,8,10,1,3,4,5,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,5,4,3,1,10,9,7,6,2]=>[3,6,7,8,10,1,2,4,5,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[7,5,4,3,1,10,9,8,6,2]=>[4,6,7,8,10,1,2,3,5,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[6,5,4,3,1,10,9,8,7,2]=>[5,6,7,8,10,1,2,3,4,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[9,7,5,2,1,10,8,6,4,3]=>[2,4,6,9,10,1,3,5,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,7,5,2,1,10,9,6,4,3]=>[3,4,6,9,10,1,2,5,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[9,6,5,2,1,10,8,7,4,3]=>[2,5,6,9,10,1,3,4,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,6,5,2,1,10,9,7,4,3]=>[3,5,6,9,10,1,2,4,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[7,6,5,2,1,10,9,8,4,3]=>[4,5,6,9,10,1,2,3,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[9,7,4,2,1,10,8,6,5,3]=>[2,4,7,9,10,1,3,5,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,7,4,2,1,10,9,6,5,3]=>[3,4,7,9,10,1,2,5,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[9,6,4,2,1,10,8,7,5,3]=>[2,5,7,9,10,1,3,4,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,6,4,2,1,10,9,7,5,3]=>[3,5,7,9,10,1,2,4,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[7,6,4,2,1,10,9,8,5,3]=>[4,5,7,9,10,1,2,3,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[9,5,4,2,1,10,8,7,6,3]=>[2,6,7,9,10,1,3,4,5,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,5,4,2,1,10,9,7,6,3]=>[3,6,7,9,10,1,2,4,5,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[7,5,4,2,1,10,9,8,6,3]=>[4,6,7,9,10,1,2,3,5,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[6,5,4,2,1,10,9,8,7,3]=>[5,6,7,9,10,1,2,3,4,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[9,7,3,2,1,10,8,6,5,4]=>[2,4,8,9,10,1,3,5,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,7,3,2,1,10,9,6,5,4]=>[3,4,8,9,10,1,2,5,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[9,6,3,2,1,10,8,7,5,4]=>[2,5,8,9,10,1,3,4,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,6,3,2,1,10,9,7,5,4]=>[3,5,8,9,10,1,2,4,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[7,6,3,2,1,10,9,8,5,4]=>[4,5,8,9,10,1,2,3,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[9,5,3,2,1,10,8,7,6,4]=>[2,6,8,9,10,1,3,4,5,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,5,3,2,1,10,9,7,6,4]=>[3,6,8,9,10,1,2,4,5,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[7,5,3,2,1,10,9,8,6,4]=>[4,6,8,9,10,1,2,3,5,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[6,5,3,2,1,10,9,8,7,4]=>[5,6,8,9,10,1,2,3,4,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[9,4,3,2,1,10,8,7,6,5]=>[2,7,8,9,10,1,3,4,5,6]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[8,4,3,2,1,10,9,7,6,5]=>[3,7,8,9,10,1,2,4,5,6]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[7,4,3,2,1,10,9,8,6,5]=>[4,7,8,9,10,1,2,3,5,6]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[6,4,3,2,1,10,9,8,7,5]=>[5,7,8,9,10,1,2,3,4,6]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,4]
[11,9,7,5,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,7,5,3,1,12,11,8,6,4,2]=>[3,4,6,8,10,12,1,2,5,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,7,5,3,1,12,10,9,6,4,2]=>[2,5,6,8,10,12,1,3,4,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,7,5,3,1,12,11,9,6,4,2]=>[3,5,6,8,10,12,1,2,4,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,7,5,3,1,12,11,10,6,4,2]=>[4,5,6,8,10,12,1,2,3,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,9,6,5,3,1,12,10,8,7,4,2]=>[2,4,7,8,10,12,1,3,5,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,6,5,3,1,12,11,8,7,4,2]=>[3,4,7,8,10,12,1,2,5,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,6,5,3,1,12,10,9,7,4,2]=>[2,5,7,8,10,12,1,3,4,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,6,5,3,1,12,11,9,7,4,2]=>[3,5,7,8,10,12,1,2,4,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,6,5,3,1,12,11,10,7,4,2]=>[4,5,7,8,10,12,1,2,3,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,7,6,5,3,1,12,10,9,8,4,2]=>[2,6,7,8,10,12,1,3,4,5,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,7,6,5,3,1,12,11,9,8,4,2]=>[3,6,7,8,10,12,1,2,4,5,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,7,6,5,3,1,12,11,10,8,4,2]=>[4,6,7,8,10,12,1,2,3,5,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,7,6,5,3,1,12,11,10,9,4,2]=>[5,6,7,8,10,12,1,2,3,4,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,9,7,4,3,1,12,10,8,6,5,2]=>[2,4,6,9,10,12,1,3,5,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,7,4,3,1,12,11,8,6,5,2]=>[3,4,6,9,10,12,1,2,5,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,7,4,3,1,12,10,9,6,5,2]=>[2,5,6,9,10,12,1,3,4,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,7,4,3,1,12,11,9,6,5,2]=>[3,5,6,9,10,12,1,2,4,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,7,4,3,1,12,11,10,6,5,2]=>[4,5,6,9,10,12,1,2,3,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,9,6,4,3,1,12,10,8,7,5,2]=>[2,4,7,9,10,12,1,3,5,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,6,4,3,1,12,11,8,7,5,2]=>[3,4,7,9,10,12,1,2,5,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,6,4,3,1,12,10,9,7,5,2]=>[2,5,7,9,10,12,1,3,4,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,6,4,3,1,12,11,9,7,5,2]=>[3,5,7,9,10,12,1,2,4,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,6,4,3,1,12,11,10,7,5,2]=>[4,5,7,9,10,12,1,2,3,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,7,6,4,3,1,12,10,9,8,5,2]=>[2,6,7,9,10,12,1,3,4,5,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,7,6,4,3,1,12,11,9,8,5,2]=>[3,6,7,9,10,12,1,2,4,5,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,7,6,4,3,1,12,11,10,8,5,2]=>[4,6,7,9,10,12,1,2,3,5,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,7,6,4,3,1,12,11,10,9,5,2]=>[5,6,7,9,10,12,1,2,3,4,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,9,5,4,3,1,12,10,8,7,6,2]=>[2,4,8,9,10,12,1,3,5,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,5,4,3,1,12,11,8,7,6,2]=>[3,4,8,9,10,12,1,2,5,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,5,4,3,1,12,10,9,7,6,2]=>[2,5,8,9,10,12,1,3,4,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,5,4,3,1,12,11,9,7,6,2]=>[3,5,8,9,10,12,1,2,4,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,5,4,3,1,12,11,10,7,6,2]=>[4,5,8,9,10,12,1,2,3,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,7,5,4,3,1,12,10,9,8,6,2]=>[2,6,8,9,10,12,1,3,4,5,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,7,5,4,3,1,12,11,9,8,6,2]=>[3,6,8,9,10,12,1,2,4,5,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,7,5,4,3,1,12,11,10,8,6,2]=>[4,6,8,9,10,12,1,2,3,5,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,7,5,4,3,1,12,11,10,9,6,2]=>[5,6,8,9,10,12,1,2,3,4,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,6,5,4,3,1,12,10,9,8,7,2]=>[2,7,8,9,10,12,1,3,4,5,6,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,6,5,4,3,1,12,11,9,8,7,2]=>[3,7,8,9,10,12,1,2,4,5,6,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,6,5,4,3,1,12,11,10,8,7,2]=>[4,7,8,9,10,12,1,2,3,5,6,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,6,5,4,3,1,12,11,10,9,7,2]=>[5,7,8,9,10,12,1,2,3,4,6,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[7,6,5,4,3,1,12,11,10,9,8,2]=>[6,7,8,9,10,12,1,2,3,4,5,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,9,7,5,2,1,12,10,8,6,4,3]=>[2,4,6,8,11,12,1,3,5,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,7,5,2,1,12,11,8,6,4,3]=>[3,4,6,8,11,12,1,2,5,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,7,5,2,1,12,10,9,6,4,3]=>[2,5,6,8,11,12,1,3,4,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,7,5,2,1,12,11,9,6,4,3]=>[3,5,6,8,11,12,1,2,4,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,7,5,2,1,12,11,10,6,4,3]=>[4,5,6,8,11,12,1,2,3,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,9,6,5,2,1,12,10,8,7,4,3]=>[2,4,7,8,11,12,1,3,5,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,6,5,2,1,12,11,8,7,4,3]=>[3,4,7,8,11,12,1,2,5,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,6,5,2,1,12,10,9,7,4,3]=>[2,5,7,8,11,12,1,3,4,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,6,5,2,1,12,11,9,7,4,3]=>[3,5,7,8,11,12,1,2,4,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,6,5,2,1,12,11,10,7,4,3]=>[4,5,7,8,11,12,1,2,3,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,7,6,5,2,1,12,10,9,8,4,3]=>[2,6,7,8,11,12,1,3,4,5,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,7,6,5,2,1,12,11,9,8,4,3]=>[3,6,7,8,11,12,1,2,4,5,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,7,6,5,2,1,12,11,10,8,4,3]=>[4,6,7,8,11,12,1,2,3,5,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,7,6,5,2,1,12,11,10,9,4,3]=>[5,6,7,8,11,12,1,2,3,4,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,9,7,4,2,1,12,10,8,6,5,3]=>[2,4,6,9,11,12,1,3,5,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,7,4,2,1,12,11,8,6,5,3]=>[3,4,6,9,11,12,1,2,5,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,7,4,2,1,12,10,9,6,5,3]=>[2,5,6,9,11,12,1,3,4,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,7,4,2,1,12,11,9,6,5,3]=>[3,5,6,9,11,12,1,2,4,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,7,4,2,1,12,11,10,6,5,3]=>[4,5,6,9,11,12,1,2,3,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,9,6,4,2,1,12,10,8,7,5,3]=>[2,4,7,9,11,12,1,3,5,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,6,4,2,1,12,11,8,7,5,3]=>[3,4,7,9,11,12,1,2,5,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,6,4,2,1,12,10,9,7,5,3]=>[2,5,7,9,11,12,1,3,4,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,6,4,2,1,12,11,9,7,5,3]=>[3,5,7,9,11,12,1,2,4,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,6,4,2,1,12,11,10,7,5,3]=>[4,5,7,9,11,12,1,2,3,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,7,6,4,2,1,12,10,9,8,5,3]=>[2,6,7,9,11,12,1,3,4,5,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,7,6,4,2,1,12,11,9,8,5,3]=>[3,6,7,9,11,12,1,2,4,5,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,7,6,4,2,1,12,11,10,8,5,3]=>[4,6,7,9,11,12,1,2,3,5,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,7,6,4,2,1,12,11,10,9,5,3]=>[5,6,7,9,11,12,1,2,3,4,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,9,5,4,2,1,12,10,8,7,6,3]=>[2,4,8,9,11,12,1,3,5,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,5,4,2,1,12,11,8,7,6,3]=>[3,4,8,9,11,12,1,2,5,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,5,4,2,1,12,10,9,7,6,3]=>[2,5,8,9,11,12,1,3,4,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,5,4,2,1,12,11,9,7,6,3]=>[3,5,8,9,11,12,1,2,4,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,5,4,2,1,12,11,10,7,6,3]=>[4,5,8,9,11,12,1,2,3,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,7,5,4,2,1,12,10,9,8,6,3]=>[2,6,8,9,11,12,1,3,4,5,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,7,5,4,2,1,12,11,9,8,6,3]=>[3,6,8,9,11,12,1,2,4,5,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,7,5,4,2,1,12,11,10,8,6,3]=>[4,6,8,9,11,12,1,2,3,5,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,7,5,4,2,1,12,11,10,9,6,3]=>[5,6,8,9,11,12,1,2,3,4,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,6,5,4,2,1,12,10,9,8,7,3]=>[2,7,8,9,11,12,1,3,4,5,6,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,6,5,4,2,1,12,11,9,8,7,3]=>[3,7,8,9,11,12,1,2,4,5,6,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,6,5,4,2,1,12,11,10,8,7,3]=>[4,7,8,9,11,12,1,2,3,5,6,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,6,5,4,2,1,12,11,10,9,7,3]=>[5,7,8,9,11,12,1,2,3,4,6,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[7,6,5,4,2,1,12,11,10,9,8,3]=>[6,7,8,9,11,12,1,2,3,4,5,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,9,7,3,2,1,12,10,8,6,5,4]=>[2,4,6,10,11,12,1,3,5,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,7,3,2,1,12,11,8,6,5,4]=>[3,4,6,10,11,12,1,2,5,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,7,3,2,1,12,10,9,6,5,4]=>[2,5,6,10,11,12,1,3,4,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,7,3,2,1,12,11,9,6,5,4]=>[3,5,6,10,11,12,1,2,4,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,7,3,2,1,12,11,10,6,5,4]=>[4,5,6,10,11,12,1,2,3,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,9,6,3,2,1,12,10,8,7,5,4]=>[2,4,7,10,11,12,1,3,5,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,6,3,2,1,12,11,8,7,5,4]=>[3,4,7,10,11,12,1,2,5,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,6,3,2,1,12,10,9,7,5,4]=>[2,5,7,10,11,12,1,3,4,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,6,3,2,1,12,11,9,7,5,4]=>[3,5,7,10,11,12,1,2,4,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,6,3,2,1,12,11,10,7,5,4]=>[4,5,7,10,11,12,1,2,3,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,7,6,3,2,1,12,10,9,8,5,4]=>[2,6,7,10,11,12,1,3,4,5,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,7,6,3,2,1,12,11,9,8,5,4]=>[3,6,7,10,11,12,1,2,4,5,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,7,6,3,2,1,12,11,10,8,5,4]=>[4,6,7,10,11,12,1,2,3,5,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,7,6,3,2,1,12,11,10,9,5,4]=>[5,6,7,10,11,12,1,2,3,4,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,9,5,3,2,1,12,10,8,7,6,4]=>[2,4,8,10,11,12,1,3,5,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,5,3,2,1,12,11,8,7,6,4]=>[3,4,8,10,11,12,1,2,5,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,5,3,2,1,12,10,9,7,6,4]=>[2,5,8,10,11,12,1,3,4,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,5,3,2,1,12,11,9,7,6,4]=>[3,5,8,10,11,12,1,2,4,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,5,3,2,1,12,11,10,7,6,4]=>[4,5,8,10,11,12,1,2,3,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,7,5,3,2,1,12,10,9,8,6,4]=>[2,6,8,10,11,12,1,3,4,5,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,7,5,3,2,1,12,11,9,8,6,4]=>[3,6,8,10,11,12,1,2,4,5,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,7,5,3,2,1,12,11,10,8,6,4]=>[4,6,8,10,11,12,1,2,3,5,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,7,5,3,2,1,12,11,10,9,6,4]=>[5,6,8,10,11,12,1,2,3,4,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,6,5,3,2,1,12,10,9,8,7,4]=>[2,7,8,10,11,12,1,3,4,5,6,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,6,5,3,2,1,12,11,9,8,7,4]=>[3,7,8,10,11,12,1,2,4,5,6,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,6,5,3,2,1,12,11,10,8,7,4]=>[4,7,8,10,11,12,1,2,3,5,6,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,6,5,3,2,1,12,11,10,9,7,4]=>[5,7,8,10,11,12,1,2,3,4,6,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[7,6,5,3,2,1,12,11,10,9,8,4]=>[6,7,8,10,11,12,1,2,3,4,5,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,9,4,3,2,1,12,10,8,7,6,5]=>[2,4,9,10,11,12,1,3,5,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,9,4,3,2,1,12,11,8,7,6,5]=>[3,4,9,10,11,12,1,2,5,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,8,4,3,2,1,12,10,9,7,6,5]=>[2,5,9,10,11,12,1,3,4,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,8,4,3,2,1,12,11,9,7,6,5]=>[3,5,9,10,11,12,1,2,4,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,8,4,3,2,1,12,11,10,7,6,5]=>[4,5,9,10,11,12,1,2,3,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,7,4,3,2,1,12,10,9,8,6,5]=>[2,6,9,10,11,12,1,3,4,5,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,7,4,3,2,1,12,11,9,8,6,5]=>[3,6,9,10,11,12,1,2,4,5,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,7,4,3,2,1,12,11,10,8,6,5]=>[4,6,9,10,11,12,1,2,3,5,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,7,4,3,2,1,12,11,10,9,6,5]=>[5,6,9,10,11,12,1,2,3,4,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,6,4,3,2,1,12,10,9,8,7,5]=>[2,7,9,10,11,12,1,3,4,5,6,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,6,4,3,2,1,12,11,9,8,7,5]=>[3,7,9,10,11,12,1,2,4,5,6,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,6,4,3,2,1,12,11,10,8,7,5]=>[4,7,9,10,11,12,1,2,3,5,6,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,6,4,3,2,1,12,11,10,9,7,5]=>[5,7,9,10,11,12,1,2,3,4,6,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[7,6,4,3,2,1,12,11,10,9,8,5]=>[6,7,9,10,11,12,1,2,3,4,5,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[11,5,4,3,2,1,12,10,9,8,7,6]=>[2,8,9,10,11,12,1,3,4,5,6,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[10,5,4,3,2,1,12,11,9,8,7,6]=>[3,8,9,10,11,12,1,2,4,5,6,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[9,5,4,3,2,1,12,11,10,8,7,6]=>[4,8,9,10,11,12,1,2,3,5,6,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,5,4,3,2,1,12,11,10,9,7,6]=>[5,8,9,10,11,12,1,2,3,4,6,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[7,5,4,3,2,1,12,11,10,9,8,6]=>[6,8,9,10,11,12,1,2,3,4,5,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,5]
[8,6,1,4,2,3,5,7]=>[1,3,8,5,7,6,4,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[6,2,3,8,1,4,5,7]=>[3,7,6,1,8,5,4,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[4,6,2,3,8,1,5,7]=>[5,3,7,6,1,8,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[8,4,3,6,2,1,5,7]=>[1,5,6,3,7,8,4,2]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,2,3,8,4,1,5,7]=>[3,7,6,1,5,8,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[8,4,2,3,6,1,5,7]=>[1,5,7,6,3,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[6,4,2,3,8,1,5,7]=>[3,5,7,6,1,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[2,6,4,3,8,1,5,7]=>[7,3,5,6,1,8,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,8,4,3,6,1,5,7]=>[7,1,5,6,3,8,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,6,3,8,4,1,5,7]=>[7,3,6,1,5,8,4,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[6,3,8,4,2,1,5,7]=>[3,6,1,5,7,8,4,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[2,6,3,8,1,4,5,7]=>[7,3,6,1,8,5,4,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,3,6,4,2,1,5,7]=>[1,6,3,5,7,8,4,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[2,8,3,6,4,1,5,7]=>[7,1,6,3,5,8,4,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[8,3,6,2,4,1,5,7]=>[1,6,3,7,5,8,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,3,6,2,1,4,5,7]=>[1,6,3,7,8,5,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,2,1,3,6,4,5,7]=>[1,7,8,6,3,5,4,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[6,2,4,3,8,1,5,7]=>[3,7,5,6,1,8,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[3,6,4,7,8,5,1,2]=>[6,3,5,2,1,4,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[1,6,4,2,7,5,8,3]=>[8,3,5,7,2,4,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[3,6,4,2,7,1,5,8]=>[6,3,5,7,2,8,4,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[1,4,7,2,5,6,8,3]=>[8,5,2,7,4,3,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[6,4,8,5,3,7,1,2]=>[3,5,1,4,6,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[1,6,5,4,2,7,8,3]=>[8,3,4,5,7,2,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[4,2,5,3,6,1,7,8]=>[5,7,4,6,3,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[7,1,5,3,6,2,8,4]=>[2,8,4,6,3,7,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,6,5,2,4,8,7,3]=>[8,3,4,7,5,1,2,6]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,4,6,2,8,5,7,3]=>[8,5,3,7,1,4,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[7,8,1,4,2,5,6,3]=>[2,1,8,5,7,4,3,6]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[3,4,8,5,2,1,6,7]=>[6,5,1,4,7,8,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[4,8,5,3,1,6,2,7]=>[5,1,4,6,8,3,7,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[6,1,3,5,8,2,7,4]=>[3,8,6,4,1,7,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[6,1,8,7,4,2,3,5]=>[3,8,1,2,5,7,6,4]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[1,2,8,5,7,3,6,4]=>[8,7,1,4,2,6,3,5]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,3,6,8,7,5,2,4]=>[8,6,3,1,2,4,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,8,2,5,4,7,6,3]=>[8,1,7,4,5,2,3,6]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[7,1,2,4,5,8,6,3]=>[2,8,7,5,4,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,2,7,3,5,8,6,4]=>[8,7,2,6,4,1,3,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[6,1,3,2,5,7,8,4]=>[3,8,6,7,4,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[4,6,2,1,7,5,3,8]=>[5,3,7,8,2,4,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[1,6,3,7,8,5,2,4]=>[8,3,6,2,1,4,7,5]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[4,6,2,3,7,8,1,5]=>[5,3,7,6,2,1,8,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[4,6,3,7,1,2,8,5]=>[5,3,6,2,8,7,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[4,2,1,3,5,7,8,6]=>[5,7,8,6,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[7,3,2,4,5,1,8,6]=>[2,6,7,5,4,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[3,8,2,5,4,1,7,6]=>[6,1,7,4,5,8,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[7,8,4,2,6,3,1,5]=>[2,1,5,7,3,6,8,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[4,2,6,3,8,7,1,5]=>[5,7,3,6,1,2,8,4]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[5,8,2,7,4,3,1,6]=>[4,1,7,2,5,6,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[4,3,8,5,1,7,2,6]=>[5,6,1,4,8,2,7,3]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[4,3,6,8,1,2,7,5]=>[5,6,3,1,8,7,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[6,4,3,5,2,8,1,7]=>[3,5,6,4,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[6,5,3,8,4,2,1,7]=>[3,4,6,1,5,7,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[5,4,8,6,2,3,7,1]=>[4,5,1,3,7,6,2,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[2,7,6,1,3,5,4,8]=>[7,2,3,8,6,4,5,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,4,1,8,2,5,7,3]=>[3,5,8,1,7,4,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[2,8,6,1,3,5,4,7]=>[7,1,3,8,6,4,5,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[4,1,3,6,5,8,7,2]=>[5,8,6,3,4,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[2,4,1,3,8,5,7,6]=>[7,5,8,6,1,4,2,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[2,6,1,3,5,8,7,4]=>[7,3,8,6,4,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,2,1,3,6,5,7,8]=>[5,7,8,6,3,4,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[6,2,1,8,3,5,7,4]=>[3,7,8,1,6,4,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[6,2,1,3,8,5,7,4]=>[3,7,8,6,1,4,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[8,1,4,3,6,5,7,2]=>[1,8,5,6,3,4,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,4,1,3,6,5,7,2]=>[1,5,8,6,3,4,2,7]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[8,2,1,3,6,5,7,4]=>[1,7,8,6,3,4,2,5]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[8,2,1,4,3,5,7,6]=>[1,7,8,5,6,4,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[6,2,1,4,3,5,7,8]=>[3,7,8,5,6,4,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,2,4,1,3,5,7,6]=>[1,7,5,8,6,4,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,2,6,1,3,5,7,4]=>[1,7,3,8,6,4,2,5]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,4,1,6,3,5,7,2]=>[1,5,8,3,6,4,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,1,4,6,3,5,7,2]=>[1,8,5,3,6,4,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[6,4,8,1,3,5,7,2]=>[3,5,1,8,6,4,2,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,2,8,1,3,5,7,4]=>[3,7,1,8,6,4,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[4,2,8,1,3,5,7,6]=>[5,7,1,8,6,4,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[2,6,8,1,3,5,7,4]=>[7,3,1,8,6,4,2,5]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[4,6,8,1,3,5,7,2]=>[5,3,1,8,6,4,2,7]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[2,4,1,8,3,5,7,6]=>[7,5,8,1,6,4,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[1,4,3,6,8,5,7,2]=>[8,5,6,3,1,4,2,7]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[4,1,3,8,6,5,7,2]=>[5,8,6,1,3,4,2,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[2,1,8,3,6,5,7,4]=>[7,8,1,6,3,4,2,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[2,8,1,4,3,5,7,6]=>[7,1,8,5,6,4,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[4,8,1,3,6,5,7,2]=>[5,1,8,6,3,4,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[1,4,8,3,6,5,7,2]=>[8,5,1,6,3,4,2,7]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,4,8,6,3,5,7,2]=>[8,5,1,3,6,4,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[4,8,6,1,3,5,7,2]=>[5,1,3,8,6,4,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[2,8,4,1,3,5,7,6]=>[7,1,5,8,6,4,2,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[6,1,8,4,3,5,7,2]=>[3,8,1,5,6,4,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[1,8,6,4,3,5,7,2]=>[8,1,3,5,6,4,2,7]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[8,6,1,4,3,5,7,2]=>[1,3,8,5,6,4,2,7]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[8,6,4,1,3,5,7,2]=>[1,3,5,8,6,4,2,7]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,6,2,1,3,5,7,4]=>[1,3,7,8,6,4,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,4,2,1,3,5,7,6]=>[1,5,7,8,6,4,2,3]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,8,6,5,2,1,4,3]=>[2,1,3,4,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[5,7,4,1,8,6,3,2]=>[4,2,5,8,1,3,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,6,4,2,8,3,7,1]=>[4,3,5,7,1,6,2,8]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[5,6,4,2,7,3,1,8]=>[4,3,5,7,2,6,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[5,7,1,4,6,3,2,8]=>[4,2,8,5,3,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,8,1,4,6,3,7,2]=>[4,1,8,5,3,6,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[3,6,7,4,5,8,2,1]=>[6,3,2,5,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,5,7,4,6,8,2,1]=>[6,4,2,5,3,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,8,4,1,7,2,5,3]=>[3,1,5,8,2,7,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[5,4,6,1,7,8,3,2]=>[4,5,3,8,2,1,6,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[5,6,4,1,8,7,3,2]=>[4,3,5,8,1,2,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[3,5,8,4,6,7,2,1]=>[6,4,1,5,3,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,6,8,4,5,7,2,1]=>[6,3,1,5,4,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,7,8,4,5,6,2,1]=>[6,2,1,5,4,3,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,8,1,4,5,3,7,2]=>[3,1,8,5,4,6,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[6,7,1,4,5,3,2,8]=>[3,2,8,5,4,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[3,7,1,5,4,6,2,8]=>[6,2,8,4,5,3,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[3,8,1,5,4,6,7,2]=>[6,1,8,4,5,3,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[3,7,1,5,4,6,8,2]=>[6,2,8,4,5,3,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,7,1,4,5,3,8,2]=>[3,2,8,5,4,6,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[5,7,1,4,6,3,8,2]=>[4,2,8,5,3,6,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[5,6,4,2,7,3,8,1]=>[4,3,5,7,2,6,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[5,4,7,2,8,3,1,6]=>[4,5,2,7,1,6,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[5,4,7,2,8,3,6,1]=>[4,5,2,7,1,6,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[5,6,4,2,8,3,1,7]=>[4,3,5,7,1,6,8,2]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[5,8,1,4,6,3,2,7]=>[4,1,8,5,3,6,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[3,8,1,5,4,6,2,7]=>[6,1,8,4,5,3,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[3,6,1,5,4,2,7,8]=>[6,3,8,4,5,7,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[3,6,1,5,4,8,2,7]=>[6,3,8,4,5,1,7,2]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[6,8,3,1,4,2,5,7]=>[3,1,6,8,5,7,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[7,3,8,1,4,2,5,6]=>[2,6,1,8,5,7,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[6,7,3,1,4,2,8,5]=>[3,2,6,8,5,7,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[3,6,1,5,4,7,8,2]=>[6,3,8,4,5,2,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[3,4,1,2,7,6,5,8]=>[6,5,8,7,2,3,4,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[3,4,1,2,6,8,7,5]=>[6,5,8,7,3,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[6,8,3,1,4,7,2,5]=>[3,1,6,8,5,2,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[6,4,7,2,8,5,1,3]=>[3,5,2,7,1,4,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,8,1,4,7,3,2,6]=>[4,1,8,5,2,6,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,8,1,4,5,3,2,6]=>[2,1,8,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[3,8,1,5,4,7,2,6]=>[6,1,8,4,5,2,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[3,6,1,5,4,8,7,2]=>[6,3,8,4,5,1,2,7]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[3,6,1,5,4,7,2,8]=>[6,3,8,4,5,2,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,7,3,1,4,2,5,8]=>[3,2,6,8,5,7,4,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[6,8,3,1,4,2,7,5]=>[3,1,6,8,5,7,2,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[7,8,3,1,4,6,2,5]=>[2,1,6,8,5,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[7,8,4,2,6,5,1,3]=>[2,1,5,7,3,4,8,6]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[6,5,8,7,3,4,2,1]=>[3,4,1,2,6,5,7,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[7,8,3,1,4,6,5,2]=>[2,1,6,8,5,3,4,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,7,3,1,4,5,2,8]=>[3,2,6,8,5,4,7,1]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[3,7,1,5,4,2,6,8]=>[6,2,8,4,5,7,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[3,8,1,5,4,2,7,6]=>[6,1,8,4,5,7,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[5,8,1,4,7,3,6,2]=>[4,1,8,5,2,6,3,7]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[6,8,4,2,7,5,3,1]=>[3,1,5,7,2,4,6,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,4,7,2,8,5,3,1]=>[3,5,2,7,1,4,6,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[6,3,7,1,4,8,5,2]=>[3,6,2,8,5,1,4,7]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[6,8,3,1,4,7,5,2]=>[3,1,6,8,5,2,4,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[3,7,1,5,4,8,6,2]=>[6,2,8,4,5,1,3,7]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[3,4,1,2,8,5,7,6]=>[6,5,8,7,1,4,2,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,4,1,2,5,8,7,6]=>[6,5,8,7,4,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[3,7,1,5,4,2,8,6]=>[6,2,8,4,5,7,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[6,7,3,1,4,5,8,2]=>[3,2,6,8,5,4,1,7]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[7,3,8,1,4,5,2,6]=>[2,6,1,8,5,4,7,3]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[7,3,8,1,4,5,6,2]=>[2,6,1,8,5,4,3,7]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[6,8,3,1,4,5,2,7]=>[3,1,6,8,5,4,7,2]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[3,8,1,5,4,2,6,7]=>[6,1,8,4,5,7,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[9,8,7,6,5,4,2,1,3]=>[1,2,3,4,5,6,8,9,7]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[9,8,7,6,5,3,2,1,4]=>[1,2,3,4,5,7,8,9,6]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[8,7,6,3,5,2,1,4]=>[1,2,3,6,4,7,8,5]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[9,8,7,6,4,3,2,1,5]=>[1,2,3,4,6,7,8,9,5]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[8,7,4,6,3,2,1,5]=>[1,2,5,3,6,7,8,4]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[9,8,7,5,4,3,2,1,6]=>[1,2,3,5,6,7,8,9,4]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[8,5,7,4,3,2,1,6]=>[1,4,2,5,6,7,8,3]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[9,8,6,5,4,3,2,1,7]=>[1,2,4,5,6,7,8,9,3]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[9,7,6,5,4,3,2,1,8]=>[1,3,4,5,6,7,8,9,2]=>[[1,2,3,4,5,6,7,8],[9]]=>[9]
[9,8,7,6,5,4,1,3,2]=>[1,2,3,4,5,6,9,7,8]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1]
[10,9,8,7,6,5,4,2,1,3]=>[1,2,3,4,5,6,7,9,10,8]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[10,9,8,7,6,5,3,2,1,4]=>[1,2,3,4,5,6,8,9,10,7]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[10,9,8,7,6,4,3,2,1,5]=>[1,2,3,4,5,7,8,9,10,6]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[8,7,6,2,5,4,1,3]=>[1,2,3,7,4,5,8,6]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[10,9,8,7,5,4,3,2,1,6]=>[1,2,3,4,6,7,8,9,10,5]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[8,5,4,7,3,2,1,6]=>[1,4,5,2,6,7,8,3]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[8,7,3,6,5,2,1,4]=>[1,2,6,3,4,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[10,9,8,6,5,4,3,2,1,7]=>[1,2,3,5,6,7,8,9,10,4]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[6,5,8,4,3,2,1,7]=>[3,4,1,5,6,7,8,2]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[8,4,7,6,3,2,1,5]=>[1,5,2,3,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[10,9,7,6,5,4,3,2,1,8]=>[1,2,4,5,6,7,8,9,10,3]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[5,8,7,4,3,2,1,6]=>[4,1,2,5,6,7,8,3]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[10,8,7,6,5,4,3,2,1,9]=>[1,3,4,5,6,7,8,9,10,2]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10]
[5,8,6,2,3,4,7,1]=>[4,1,3,7,6,5,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[4,5,2,7,3,1,8,6]=>[5,4,7,2,6,8,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[4,8,2,6,3,5,7,1]=>[5,1,7,3,6,4,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[4,3,7,8,6,5,1,2]=>[5,6,2,1,3,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[7,8,2,1,5,6,4,3]=>[2,1,7,8,4,3,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[2,1,8,7,4,5,3,6]=>[7,8,1,2,5,4,6,3]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[1,5,8,6,2,3,7,4]=>[8,4,1,3,7,6,2,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[5,2,7,1,8,6,3,4]=>[4,7,2,8,1,3,6,5]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[2,6,1,3,8,7,4,5]=>[7,3,8,6,1,2,5,4]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[6,5,2,8,1,7,3,4]=>[3,4,7,1,8,2,6,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[2,8,3,5,1,7,4,6]=>[7,1,6,4,8,2,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[5,4,3,8,7,1,6,2]=>[4,5,6,1,2,8,3,7]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[8,5,4,3,7,2,6,1]=>[1,4,5,6,2,7,3,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[8,3,7,4,2,6,5,1]=>[1,6,2,5,7,3,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[2,8,6,5,1,7,4,3]=>[7,1,3,4,8,2,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[6,3,2,8,4,1,7,5]=>[3,6,7,1,5,8,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,8,3,4,1,7,5,6]=>[7,1,6,5,8,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[5,4,2,8,3,1,7,6]=>[4,5,7,1,6,8,2,3]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,8,4,3,1,7,6,5]=>[7,1,5,6,8,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,8,5,3,1,7,6,4]=>[7,1,4,6,8,2,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,8,6,4,1,7,5,3]=>[7,1,3,5,8,2,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,8,7,5,1,6,4,2]=>[6,1,2,4,8,3,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[8,3,7,5,2,6,4,1]=>[1,6,2,4,7,3,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[8,4,7,6,2,5,3,1]=>[1,5,2,3,7,4,6,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[4,8,7,6,1,5,3,2]=>[5,1,2,3,8,4,6,7]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[7,4,8,6,2,1,5,3]=>[2,5,1,3,7,8,4,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[7,3,8,5,2,1,6,4]=>[2,6,1,4,7,8,3,5]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[7,3,8,4,2,1,6,5]=>[2,6,1,5,7,8,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[7,5,4,3,8,2,1,6]=>[2,4,5,6,1,7,8,3]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[3,7,8,4,1,2,6,5]=>[6,2,1,5,8,7,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[3,7,8,5,1,2,6,4]=>[6,2,1,4,8,7,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[4,7,8,6,1,2,5,3]=>[5,2,1,3,8,7,4,6]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[8,7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[5,7,8,6,1,2,4,3]=>[4,2,1,3,8,7,5,6]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[6,4,7,8,3,1,2,5]=>[3,5,2,1,6,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[7,3,4,8,2,1,5,6]=>[2,6,5,1,7,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[7,6,4,8,3,2,1,5]=>[2,3,5,1,6,7,8,4]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[7,5,8,6,2,1,4,3]=>[2,4,1,3,7,8,5,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[6,5,8,7,3,1,4,2]=>[3,4,1,2,6,8,5,7]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[2,4,8,3,1,5,7,6]=>[7,5,1,6,8,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[6,3,2,4,8,1,5,7]=>[3,6,7,5,1,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[2,3,8,4,1,6,7,5]=>[7,6,1,5,8,3,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[2,3,8,5,1,6,7,4]=>[7,6,1,4,8,3,2,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[6,4,8,7,3,1,5,2]=>[3,5,1,2,6,8,4,7]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[8,6,4,7,3,2,5,1]=>[1,3,5,2,6,7,4,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[8,3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[3,4,8,7,1,5,6,2]=>[6,5,1,2,8,4,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,4,8,6,1,5,7,3]=>[7,5,1,3,8,4,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,5,8,6,1,4,7,3]=>[7,4,1,3,8,5,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[8,3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[8,4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[4,6,8,7,1,3,5,2]=>[5,3,1,2,8,6,4,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[2,6,8,5,1,3,7,4]=>[7,3,1,4,8,6,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[2,6,8,4,1,3,7,5]=>[7,3,1,5,8,6,2,4]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[2,5,8,3,1,4,7,6]=>[7,4,1,6,8,5,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[5,6,8,7,1,3,4,2]=>[4,3,1,2,8,6,5,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[7,4,6,8,2,1,3,5]=>[2,5,3,1,7,8,6,4]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[2,3,5,4,1,8,6,7]=>[7,6,4,5,8,1,3,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[1,8,4,6,3,5,2,7]=>[8,1,5,3,6,4,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,3,6,8,1,5,4,7]=>[7,6,3,1,8,4,5,2]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[2,5,6,1,4,7,8,3]=>[7,4,3,8,5,2,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[2,5,6,1,4,7,3,8]=>[7,4,3,8,5,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[7,3,5,1,6,8,4,2]=>[2,6,4,8,3,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[1,8,7,6,3,2,5,4]=>[8,1,2,3,6,7,4,5]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,8,7,6,3,2,4,5]=>[8,1,2,3,6,7,5,4]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[6,3,5,1,7,2,4,8]=>[3,6,4,8,2,7,5,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[7,3,5,8,4,1,2,6]=>[2,6,4,1,5,8,7,3]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[1,8,4,5,2,7,3,6]=>[8,1,5,4,7,2,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,8,4,5,2,7,6,3]=>[8,1,5,4,7,2,3,6]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,3,5,4,7,1,8,2]=>[3,6,4,5,2,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,3,5,4,7,1,2,8]=>[3,6,4,5,2,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[3,4,1,5,6,8,7,2]=>[6,5,8,4,3,1,2,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[3,7,1,6,8,5,2,4]=>[6,2,8,3,1,4,7,5]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[2,3,1,8,6,4,7,5]=>[7,6,8,1,3,5,2,4]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,3,1,8,6,4,5,7]=>[7,6,8,1,3,5,4,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[3,7,1,6,8,5,4,2]=>[6,2,8,3,1,4,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,3,5,4,6,8,2,1]=>[2,6,4,5,3,1,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[1,8,4,5,2,6,3,7]=>[8,1,5,4,7,3,6,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[7,3,5,8,4,6,2,1]=>[2,6,4,1,5,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[2,3,4,7,5,1,8,6]=>[7,6,5,2,4,8,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,3,4,7,1,6,5,8]=>[7,6,5,2,8,3,4,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,8,4,5,2,3,6,7]=>[8,1,5,4,7,6,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[7,4,8,5,3,2,6,1]=>[2,5,1,4,6,7,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[6,3,5,8,4,2,1,7]=>[3,6,4,1,5,7,8,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[5,2,4,6,8,3,7,1]=>[4,7,5,3,1,6,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[1,5,7,4,6,3,2,8]=>[8,4,2,5,3,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,2,8,4,6,3,7,1]=>[4,7,1,5,3,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[3,8,5,4,6,7,2,1]=>[6,1,4,5,3,2,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[6,8,3,4,5,7,2,1]=>[3,1,6,5,4,2,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[2,5,7,4,6,3,8,1]=>[7,4,2,5,3,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,4,1,7,8,3,2,6]=>[4,5,8,2,1,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,4,2,7,8,3,6,1]=>[4,5,7,2,1,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[5,1,4,6,8,3,2,7]=>[4,8,5,3,1,6,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[5,1,8,4,6,3,2,7]=>[4,8,1,5,3,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[8,1,6,4,5,3,2,7]=>[1,8,3,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,1,3,5,4,6,2,7]=>[1,8,6,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[8,1,6,2,4,3,5,7]=>[1,8,3,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[8,7,1,2,4,3,5,6]=>[1,2,8,7,5,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[1,7,6,2,4,3,5,8]=>[8,2,3,7,5,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[8,7,3,2,4,6,5,1]=>[1,2,6,7,5,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[8,2,6,3,4,5,7,1]=>[1,7,3,6,5,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[1,7,6,3,4,5,2,8]=>[8,2,3,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[1,7,2,5,4,3,6,8]=>[8,2,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[8,7,2,4,5,3,6,1]=>[1,2,7,5,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[5,8,2,4,7,3,6,1]=>[4,1,7,5,2,6,3,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[6,8,3,2,4,7,5,1]=>[3,1,6,7,5,2,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[8,7,1,3,4,5,2,6]=>[1,2,8,6,5,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[8,1,6,3,4,5,2,7]=>[1,8,3,6,5,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[8,1,2,5,4,3,6,7]=>[1,8,7,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[3,2,8,6,1,5,4,7]=>[6,7,1,3,8,4,5,2]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,6,1,2,4,3,5,7]=>[1,3,8,7,5,6,4,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[3,5,2,8,6,1,4,7]=>[6,4,7,1,3,8,5,2]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[3,7,2,5,1,4,8,6]=>[6,2,7,4,8,5,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[5,1,8,6,2,3,4,7]=>[4,8,1,3,7,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[2,5,4,1,8,6,3,7]=>[7,4,5,8,1,3,6,2]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[3,7,6,1,8,2,5,4]=>[6,2,3,8,1,7,4,5]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[1,8,2,6,3,4,7,5]=>[8,1,7,3,6,5,2,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[8,1,3,6,4,7,2,5]=>[1,8,6,3,5,2,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,1,3,6,4,8,2,5]=>[2,8,6,3,5,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[2,7,5,8,3,4,1,6]=>[7,2,4,1,6,5,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[7,3,8,5,4,1,2,6]=>[2,6,1,4,5,8,7,3]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[7,2,3,6,1,4,8,5]=>[2,7,6,3,8,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[1,3,7,2,5,8,4,6]=>[8,6,2,7,4,1,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[1,7,2,3,5,8,4,6]=>[8,2,7,6,4,1,5,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[7,4,8,1,3,6,2,5]=>[2,5,1,8,6,3,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,1,2,3,5,7,4,6]=>[1,8,7,6,4,2,5,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[8,6,1,4,7,3,2,5]=>[1,3,8,5,2,6,7,4]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,5,4,7,1,3,2,6]=>[1,4,5,2,8,6,7,3]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[2,3,1,8,5,4,6,7]=>[7,6,8,1,4,5,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[8,5,1,7,6,3,4,2]=>[1,4,8,2,3,6,5,7]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[3,2,8,4,7,5,1,6]=>[6,7,1,5,2,4,8,3]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[3,8,1,6,5,2,7,4]=>[6,1,8,3,4,7,2,5]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[6,1,2,8,3,4,7,5]=>[3,8,7,1,6,5,2,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[3,7,2,5,6,1,8,4]=>[6,2,7,4,3,8,1,5]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[8,3,1,4,7,2,6,5]=>[1,6,8,5,2,7,3,4]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[8,3,2,1,5,7,4,6]=>[1,6,7,8,4,2,5,3]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[7,3,6,4,8,1,2,5]=>[2,6,3,5,1,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[8,3,6,4,7,1,2,5]=>[1,6,3,5,2,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[4,6,1,7,3,5,2,8]=>[5,3,8,2,6,4,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[5,6,1,7,3,4,2,8]=>[4,3,8,2,6,5,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[6,1,7,3,4,2,8,5]=>[3,8,2,6,5,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,2,8,6,5,1,7,3]=>[5,7,1,3,4,8,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[6,4,2,8,5,1,7,3]=>[3,5,7,1,4,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,6,4,7,1,5,2,3]=>[1,3,5,2,8,4,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[7,6,4,8,1,5,2,3]=>[2,3,5,1,8,4,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,2,3,8,7,5,1,6]=>[5,7,6,1,2,4,8,3]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,8,7,1,6,5,2,4]=>[6,1,2,8,3,4,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,4,3,8,1,6,7,5]=>[7,5,6,1,8,3,2,4]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[2,4,3,7,1,6,8,5]=>[7,5,6,2,8,3,1,4]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[5,1,6,4,2,3,7,8]=>[4,8,3,5,7,6,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[8,7,4,6,1,5,2,3]=>[1,2,5,3,8,4,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[4,7,8,6,1,5,2,3]=>[5,2,1,3,8,4,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,2,4,7,8,1,5,6]=>[6,7,5,2,1,8,4,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,8,7,6,1,5,2,3]=>[5,1,2,3,8,4,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[5,8,7,6,1,4,2,3]=>[4,1,2,3,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[8,6,5,7,1,4,2,3]=>[1,3,4,2,8,5,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[5,1,6,7,4,2,3,8]=>[4,8,3,2,5,7,6,1]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[6,7,4,8,1,5,2,3]=>[3,2,5,1,8,4,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[8,4,7,6,1,5,2,3]=>[1,5,2,3,8,4,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[7,3,2,4,8,1,5,6]=>[2,6,7,5,1,8,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[2,5,3,7,1,6,4,8]=>[7,4,6,2,8,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[8,4,6,7,1,5,2,3]=>[1,5,3,2,8,4,7,6]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,1,6,8,4,2,3,7]=>[4,8,3,1,5,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,2,3,7,5,1,6,8]=>[5,7,6,2,4,8,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[3,7,5,8,1,6,2,4]=>[6,2,4,1,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[2,4,3,7,1,6,5,8]=>[7,5,6,2,8,3,4,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,2,4,7,6,1,5,8]=>[6,7,5,2,3,8,4,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[8,6,7,5,1,4,2,3]=>[1,3,2,4,8,5,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,8,7,5,1,4,2,3]=>[3,1,2,4,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[5,6,8,7,1,4,2,3]=>[4,3,1,2,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,6,8,7,1,5,2,3]=>[5,3,1,2,8,4,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[2,4,6,7,1,5,8,3]=>[7,5,3,2,8,4,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[3,2,4,6,1,5,7,8]=>[6,7,5,3,8,4,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[6,7,8,5,1,4,2,3]=>[3,2,1,4,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[7,8,6,5,1,4,2,3]=>[2,1,3,4,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[3,1,7,5,4,2,8,6]=>[6,8,2,4,5,7,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[2,1,8,5,4,6,3,7]=>[7,8,1,4,5,3,6,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[4,1,8,5,2,3,6,7]=>[5,8,1,4,7,6,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[5,4,1,3,6,7,2,8]=>[4,5,8,6,3,2,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[8,4,1,2,6,3,7,5]=>[1,5,8,7,3,6,2,4]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[8,2,7,1,5,3,4,6]=>[1,7,2,8,4,6,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[3,2,7,1,5,8,4,6]=>[6,7,2,8,4,1,5,3]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[6,3,7,1,5,4,2,8]=>[3,6,2,8,4,5,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[7,3,8,1,5,4,2,6]=>[2,6,1,8,4,5,7,3]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[7,1,5,3,8,4,2,6]=>[2,8,4,6,1,5,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,5,1,3,6,8,2,7]=>[5,4,8,6,3,1,7,2]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[3,6,8,1,5,4,2,7]=>[6,3,1,8,4,5,7,2]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[6,8,3,1,5,4,2,7]=>[3,1,6,8,4,5,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[7,6,3,1,5,4,2,8]=>[2,3,6,8,4,5,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[3,6,2,1,5,8,4,7]=>[6,3,7,8,4,1,5,2]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[8,6,2,1,5,3,4,7]=>[1,3,7,8,4,6,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,8,2,1,7,5,3,6]=>[5,1,7,8,2,4,6,3]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[2,3,8,1,5,7,4,6]=>[7,6,1,8,4,2,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[7,1,3,2,8,6,4,5]=>[2,8,6,7,1,3,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[7,1,6,2,8,3,4,5]=>[2,8,3,7,1,6,5,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[4,7,1,2,6,3,8,5]=>[5,2,8,7,3,6,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,7,8,1,5,3,4,6]=>[7,2,1,8,4,6,5,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[6,7,2,1,5,3,4,8]=>[3,2,7,8,4,6,5,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[4,7,2,1,8,5,3,6]=>[5,2,7,8,1,4,6,3]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[8,7,2,1,4,5,3,6]=>[1,2,7,8,5,4,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,7,5,6,1,4,3,2]=>[1,2,4,3,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[5,7,8,6,1,4,3,2]=>[4,2,1,3,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[2,7,4,1,6,5,3,8]=>[7,2,5,8,3,4,6,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[3,7,1,4,5,6,8,2]=>[6,2,8,5,4,3,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[7,1,6,4,5,8,3,2]=>[2,8,3,5,4,1,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[3,5,1,4,7,6,8,2]=>[6,4,8,5,2,3,1,7]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[2,6,4,1,7,5,3,8]=>[7,3,5,8,2,4,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[5,6,8,7,1,4,3,2]=>[4,3,1,2,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[6,8,5,7,1,4,3,2]=>[3,1,4,2,8,5,6,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[8,6,5,7,1,4,3,2]=>[1,3,4,2,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[8,5,7,6,1,4,3,2]=>[1,4,2,3,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[6,5,7,8,1,4,3,2]=>[3,4,2,1,8,5,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[7,2,3,1,5,6,4,8]=>[2,7,6,8,4,3,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[4,2,8,1,6,5,3,7]=>[5,7,1,8,3,4,6,2]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[6,2,4,1,8,5,3,7]=>[3,7,5,8,1,4,6,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[8,3,1,4,5,6,7,2]=>[1,6,8,5,4,3,2,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[5,3,1,4,8,6,7,2]=>[4,6,8,5,1,3,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,5,1,6,3,4,8,2]=>[2,4,8,3,6,5,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[7,1,5,8,4,3,6,2]=>[2,8,4,1,5,6,3,7]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[5,8,1,6,4,3,7,2]=>[4,1,8,3,5,6,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[5,3,1,8,4,6,7,2]=>[4,6,8,1,5,3,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[8,3,1,5,4,6,7,2]=>[1,6,8,4,5,3,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,2,6,1,4,5,3,7]=>[1,7,3,8,5,4,6,2]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,2,8,1,4,5,3,7]=>[3,7,1,8,5,4,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[7,2,6,1,5,3,4,8]=>[2,7,3,8,4,6,5,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[2,8,6,1,5,3,4,7]=>[7,1,3,8,4,6,5,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[4,2,1,5,6,3,8,7]=>[5,7,8,4,3,6,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[7,1,2,5,8,3,4,6]=>[2,8,7,4,1,6,5,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[7,1,4,5,6,8,3,2]=>[2,8,5,4,3,1,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[8,5,6,7,1,4,3,2]=>[1,4,3,2,8,5,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[7,6,8,5,1,4,3,2]=>[2,3,1,4,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[6,8,7,5,1,4,3,2]=>[3,1,2,4,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[2,6,7,1,4,5,3,8]=>[7,3,2,8,5,4,6,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[3,5,1,7,4,6,8,2]=>[6,4,8,2,5,3,1,7]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[7,1,5,6,4,8,3,2]=>[2,8,4,3,5,1,6,7]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[7,1,6,5,4,8,3,2]=>[2,8,3,4,5,1,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[2,7,6,1,4,5,3,8]=>[7,2,3,8,5,4,6,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[5,7,6,8,1,4,3,2]=>[4,2,3,1,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[7,8,6,5,1,4,3,2]=>[2,1,3,4,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[4,3,1,6,5,8,7,2]=>[5,6,8,3,4,1,2,7]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[5,3,1,2,4,8,7,6]=>[4,6,8,7,5,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[5,3,6,2,1,8,7,4]=>[4,6,3,7,8,1,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[5,3,7,2,1,4,6,8]=>[4,6,2,7,8,5,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[3,7,4,5,8,2,1,6]=>[6,2,5,4,1,7,8,3]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,7,4,5,2,1,6,3]=>[1,2,5,4,7,8,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[6,3,7,1,8,4,2,5]=>[3,6,2,8,1,5,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[5,7,4,1,6,3,2,8]=>[4,2,5,8,3,6,7,1]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[5,7,4,8,6,3,1,2]=>[4,2,5,1,3,6,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,8,3,5,6,7,1,2]=>[5,1,6,4,3,2,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[5,8,4,3,6,1,2,7]=>[4,1,5,6,3,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[1,5,8,4,6,7,3,2]=>[8,4,1,5,3,2,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,4,8,3,6,7,5,2]=>[8,5,1,6,3,2,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[4,3,8,2,1,7,5,6]=>[5,6,1,7,8,2,4,3]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[3,8,4,2,6,1,5,7]=>[6,1,5,7,3,8,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[3,8,1,5,6,7,4,2]=>[6,1,8,4,3,2,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[3,8,2,5,6,7,1,4]=>[6,1,7,4,3,2,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[7,8,4,3,6,2,1,5]=>[2,1,5,6,3,7,8,4]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[4,3,1,8,5,7,6,2]=>[5,6,8,1,4,2,3,7]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,3,5,8,2,7,1,4]=>[3,6,4,1,7,2,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[7,5,4,8,6,2,1,3]=>[2,4,5,1,3,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[7,1,4,8,6,2,3,5]=>[2,8,5,1,3,7,6,4]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[7,6,4,5,8,1,3,2]=>[2,3,5,4,1,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[7,3,6,1,8,2,4,5]=>[2,6,3,8,1,7,5,4]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,3,5,2,1,7,4,6]=>[1,6,4,7,8,2,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[8,4,1,5,6,7,3,2]=>[1,5,8,4,3,2,6,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[4,1,8,5,6,7,3,2]=>[5,8,1,4,3,2,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[1,2,8,5,6,7,3,4]=>[8,7,1,4,3,2,6,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[1,5,3,8,6,7,4,2]=>[8,4,6,1,3,2,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,4,5,8,6,7,3,2]=>[8,5,4,1,3,2,6,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[4,3,5,8,1,7,2,6]=>[5,6,4,1,8,2,7,3]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[3,5,4,8,6,1,2,7]=>[6,4,5,1,3,8,7,2]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[3,4,8,5,6,7,1,2]=>[6,5,1,4,3,2,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[2,7,1,4,3,6,5,8]=>[7,2,8,5,6,3,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,3,7,2,5,6,8,1]=>[5,6,2,7,4,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[2,6,3,1,4,5,8,7]=>[7,3,6,8,5,4,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[3,7,1,4,2,6,8,5]=>[6,2,8,5,7,3,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[3,7,1,5,6,2,8,4]=>[6,2,8,4,3,7,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,7,1,5,6,8,2,3]=>[5,2,8,4,3,1,7,6]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[8,4,2,3,5,7,1,6]=>[1,5,7,6,4,2,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[4,7,3,2,5,6,1,8]=>[5,2,6,7,4,3,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[5,3,4,6,2,8,1,7]=>[4,6,5,3,7,1,8,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,4,7,2,3,8,1,5]=>[3,5,2,7,6,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[5,3,7,2,4,8,6,1]=>[4,6,2,7,5,1,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[8,7,6,1,4,5,2,3]=>[1,2,3,8,5,4,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,7,6,1,3,2,5,4]=>[1,2,3,8,6,7,4,5]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,7,2,4,3,1,6,5]=>[1,2,7,5,6,8,3,4]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[8,7,4,5,1,6,2,3]=>[1,2,5,4,8,3,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,5,6,3,1,2,7,4]=>[1,4,3,6,8,7,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[6,7,4,2,3,1,8,5]=>[3,2,5,7,6,8,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[6,7,5,4,1,8,2,3]=>[3,2,4,5,8,1,7,6]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[7,3,5,4,1,8,6,2]=>[2,6,4,5,8,1,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[5,2,7,1,3,4,8,6]=>[4,7,2,8,6,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[2,6,5,7,3,1,8,4]=>[7,3,4,2,6,8,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[3,7,1,8,4,5,2,6]=>[6,2,8,1,5,4,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[6,3,2,4,7,5,8,1]=>[3,6,7,5,2,4,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[6,3,2,4,7,5,1,8]=>[3,6,7,5,2,4,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,2,1,6,3,7,8,5]=>[5,7,8,3,6,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,4,3,5,8,6,1,2]=>[2,5,6,4,1,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[7,4,3,5,8,6,2,1]=>[2,5,6,4,1,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[5,8,1,7,4,3,2,6]=>[4,1,8,2,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[4,2,1,3,6,7,5,8]=>[5,7,8,6,3,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[4,8,6,2,7,3,5,1]=>[5,1,3,7,2,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[7,3,4,2,6,8,1,5]=>[2,6,5,7,3,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[3,6,7,5,2,4,8,1]=>[6,3,2,4,7,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[4,2,1,7,3,6,5,8]=>[5,7,8,2,6,3,4,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[5,8,1,7,4,2,6,3]=>[4,1,8,2,5,7,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[4,2,1,3,8,6,7,5]=>[5,7,8,6,1,3,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[4,2,1,3,7,6,5,8]=>[5,7,8,6,2,3,4,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[4,2,1,3,5,7,6,8]=>[5,7,8,6,4,2,3,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[4,8,1,7,3,6,5,2]=>[5,1,8,2,6,3,4,7]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[4,2,1,8,3,7,6,5]=>[5,7,8,1,6,2,3,4]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[7,8,2,4,1,3,6,5]=>[2,1,7,5,8,6,3,4]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[2,6,1,5,4,7,8,3]=>[7,3,8,4,5,2,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[4,6,3,5,8,7,1,2]=>[5,3,6,4,1,2,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[3,5,6,1,4,8,7,2]=>[6,4,3,8,5,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,3,6,8,4,1,5,7]=>[7,6,3,1,5,8,4,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,7,5,2,1,3,6,8]=>[5,2,4,7,8,6,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,7,8,4,1,5,3,2]=>[3,2,1,5,8,4,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[7,1,6,8,4,5,3,2]=>[2,8,3,1,5,4,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[7,4,6,5,2,8,1,3]=>[2,5,3,4,7,1,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[7,1,5,6,4,2,3,8]=>[2,8,4,3,5,7,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[5,7,4,6,8,1,3,2]=>[4,2,5,3,1,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[5,7,8,1,4,6,3,2]=>[4,2,1,8,5,3,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[8,1,5,7,4,6,3,2]=>[1,8,4,2,5,3,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[1,8,4,6,7,5,3,2]=>[8,1,5,3,2,4,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[6,1,8,4,7,5,3,2]=>[3,8,1,5,2,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[4,5,8,6,1,7,3,2]=>[5,4,1,3,8,2,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[4,8,5,1,6,7,3,2]=>[5,1,4,8,3,2,6,7]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[8,1,4,5,6,7,3,2]=>[1,8,5,4,3,2,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[5,6,7,1,4,2,3,8]=>[4,3,2,8,5,7,6,1]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[8,4,2,6,1,5,7,3]=>[1,5,7,3,8,4,2,6]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[4,8,5,2,1,6,7,3]=>[5,1,4,7,8,3,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,1,8,4,2,6,3,7]=>[4,8,1,5,7,3,6,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[1,8,4,6,2,5,3,7]=>[8,1,5,3,7,4,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[6,1,5,2,3,4,7,8]=>[3,8,4,7,6,5,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[8,3,1,4,6,2,5,7]=>[1,6,8,5,3,7,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[3,1,8,2,5,6,4,7]=>[6,8,1,7,4,3,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[3,5,1,8,2,6,4,7]=>[6,4,8,1,7,3,5,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,5,1,2,8,4,7,6]=>[6,4,8,7,1,5,2,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[2,3,5,8,6,1,7,4]=>[7,6,4,1,3,8,2,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[8,2,4,3,6,7,1,5]=>[1,7,5,6,3,2,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[3,2,8,5,7,1,6,4]=>[6,7,1,4,2,8,3,5]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[3,6,2,8,5,1,7,4]=>[6,3,7,1,4,8,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[6,2,1,8,4,7,5,3]=>[3,7,8,1,5,2,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[2,8,7,1,4,6,5,3]=>[7,1,2,8,5,3,4,6]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[8,2,7,1,5,4,6,3]=>[1,7,2,8,4,5,3,6]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,2,5,3,6,8,1,4]=>[2,7,4,6,3,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[7,3,1,5,6,2,4,8]=>[2,6,8,4,3,7,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[3,7,5,1,6,2,4,8]=>[6,2,4,8,3,7,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,7,3,6,5,8,1,4]=>[7,2,6,3,4,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,7,2,4,1,6,5,3]=>[1,2,7,5,8,3,4,6]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[1,8,7,2,3,6,5,4]=>[8,1,2,7,6,3,4,5]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[1,7,8,2,6,4,3,5]=>[8,2,1,7,3,5,6,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[1,7,3,8,2,6,4,5]=>[8,2,6,1,7,3,5,4]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,2,7,3,6,4,5,8]=>[8,7,2,6,3,5,4,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[7,1,5,8,3,2,4,6]=>[2,8,4,1,6,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[1,3,8,7,2,4,6,5]=>[8,6,1,2,7,5,3,4]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[1,8,3,7,2,5,4,6]=>[8,1,6,2,7,4,5,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[8,1,4,7,3,2,5,6]=>[1,8,5,2,6,7,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[4,7,8,1,3,2,5,6]=>[5,2,1,8,6,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[7,1,4,2,3,5,6,8]=>[2,8,5,7,6,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[8,2,1,4,7,3,5,6]=>[1,7,8,5,2,6,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[2,1,3,8,4,6,7,5]=>[7,8,6,1,5,3,2,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[5,2,1]
[2,4,7,5,6,8,3,1]=>[7,5,2,4,3,1,6,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[2,4,8,7,5,6,3,1]=>[7,5,1,2,4,3,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[2,5,3,8,4,7,6,1]=>[7,4,6,1,5,2,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,8,5,7,3,6,4,1]=>[7,1,4,2,6,3,5,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[3,1,8,5,2,7,6,4]=>[6,8,1,4,7,2,3,5]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[8,3,5,7,1,6,4,2]=>[1,6,4,2,8,3,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[8,3,6,1,4,5,7,2]=>[1,6,3,8,5,4,2,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[2,8,6,3,4,5,7,1]=>[7,1,3,6,5,4,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[2,6,8,3,4,5,7,1]=>[7,3,1,6,5,4,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[2,5,7,3,4,8,6,1]=>[7,4,2,6,5,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,7,8,5,3,6,4,1]=>[7,2,1,4,6,3,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[2,7,6,3,4,8,5,1]=>[7,2,3,6,5,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[3,1,8,7,2,6,4,5]=>[6,8,1,2,7,3,5,4]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[8,3,7,6,1,4,5,2]=>[1,6,2,3,8,5,4,7]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[4,8,1,7,2,3,6,5]=>[5,1,8,2,7,6,3,4]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[4,1,7,2,3,6,5,8]=>[5,8,2,7,6,3,4,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[3,7,1,8,2,6,4,5]=>[6,2,8,1,7,3,5,4]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,1,7,8,2,5,6,4]=>[6,8,2,1,7,4,3,5]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[3,1,6,5,8,2,7,4]=>[6,8,3,4,1,7,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[6,3,5,8,7,1,4,2]=>[3,6,4,1,2,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[7,3,8,5,1,6,4,2]=>[2,6,1,4,8,3,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,3,6,1,4,8,5,2]=>[2,6,3,8,5,1,4,7]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[7,8,3,6,1,4,5,2]=>[2,1,6,3,8,5,4,7]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,4,8,1,2,3,6,5]=>[2,5,1,8,7,6,3,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[8,7,4,6,1,2,5,3]=>[1,2,5,3,8,7,4,6]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[7,5,1,2,3,4,8,6]=>[2,4,8,7,6,5,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[7,4,6,1,2,8,3,5]=>[2,5,3,8,7,1,6,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,4,1,2,8,5,7,3]=>[3,5,8,7,1,4,2,6]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[5,7,1,2,3,6,4,8]=>[4,2,8,7,6,3,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[3,6,8,1,2,7,4,5]=>[6,3,1,8,7,2,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[4,8,6,1,2,3,7,5]=>[5,1,3,8,7,6,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[8,4,6,1,2,3,7,5]=>[1,5,3,8,7,6,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[4,8,1,5,2,7,3,6]=>[5,1,8,4,7,2,6,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,1,2,5,3,8,7,6]=>[5,8,7,4,6,1,2,3]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[3,1,4,8,7,5,2,6]=>[6,8,5,1,2,4,7,3]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,3,6,8,7,5,1,2]=>[5,6,3,1,2,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[5,4,1,8,2,7,6,3]=>[4,5,8,1,7,2,3,6]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,4,1,8,2,7,3,6]=>[4,5,8,1,7,2,6,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[8,6,7,4,1,2,5,3]=>[1,3,2,5,8,7,4,6]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[6,4,8,1,2,5,3,7]=>[3,5,1,8,7,4,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[6,7,3,1,4,8,5,2]=>[3,2,6,8,5,1,4,7]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[5,6,3,8,7,1,4,2]=>[4,3,6,1,2,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[5,4,1,6,8,2,7,3]=>[4,5,8,3,1,7,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[5,4,7,1,2,8,6,3]=>[4,5,2,8,7,1,3,6]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[6,7,4,1,2,8,3,5]=>[3,2,5,8,7,1,6,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[6,5,1,2,3,7,8,4]=>[3,4,8,7,6,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[6,5,1,2,3,4,8,7]=>[3,4,8,7,6,5,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,6,5,1,2,3,7,4]=>[1,3,4,8,7,6,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,5,1,2,3,7,4,8]=>[3,4,8,7,6,2,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[6,7,4,1,2,5,3,8]=>[3,2,5,8,7,4,6,1]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[7,8,6,4,1,2,5,3]=>[2,1,3,5,8,7,4,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[2,4,6,3,5,7,1,8]=>[7,5,3,6,4,2,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[1,4,6,3,7,2,5,8]=>[8,5,3,6,2,7,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[8,6,2,5,3,1,7,4]=>[1,3,7,4,6,8,2,5]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[8,2,3,4,5,1,7,6]=>[1,7,6,5,4,8,2,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[1,8,3,4,2,7,5,6]=>[8,1,6,5,7,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,8,3,4,1,6,7,5]=>[7,1,6,5,8,3,2,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[8,7,2,3,1,6,5,4]=>[1,2,7,6,8,3,4,5]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[3,8,2,4,6,1,7,5]=>[6,1,7,5,3,8,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,8,2,4,3,1,6,5]=>[2,1,7,5,6,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[4,5,8,2,3,1,7,6]=>[5,4,1,7,6,8,2,3]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[5,1,4,3,7,2,6,8]=>[4,8,5,6,2,7,3,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[6,1,3,5,7,2,4,8]=>[3,8,6,4,2,7,5,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[2,1,4,7,5,3,6,8]=>[7,8,5,2,4,6,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[7,1,3,6,2,5,4,8]=>[2,8,6,3,7,4,5,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,1,3,6,2,4,7,5]=>[1,8,6,3,7,5,2,4]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[2,1,8,3,7,5,4,6]=>[7,8,1,6,2,4,5,3]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[7,1,8,2,5,6,3,4]=>[2,8,1,7,4,3,6,5]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[6,1,5,8,2,7,3,4]=>[3,8,4,1,7,2,6,5]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[4,5,2,8,1,6,7,3]=>[5,4,7,1,8,3,2,6]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[6,2,5,8,1,4,7,3]=>[3,7,4,1,8,5,2,6]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[3,2,8,5,1,6,7,4]=>[6,7,1,4,8,3,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[8,2,7,1,4,6,5,3]=>[1,7,2,8,5,3,4,6]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[1,3,8,2,5,7,4,6]=>[8,6,1,7,4,2,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[2,8,7,1,6,4,5,3]=>[7,1,2,8,3,5,4,6]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[3,8,7,1,5,6,4,2]=>[6,1,2,8,4,3,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[3,4,8,5,6,1,7,2]=>[6,5,1,4,3,8,2,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[8,3,7,4,1,6,5,2]=>[1,6,2,5,8,3,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[1,4,8,6,2,7,3,5]=>[8,5,1,3,7,2,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[8,4,5,7,1,6,3,2]=>[1,5,4,2,8,3,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[3,5,6,8,4,1,7,2]=>[6,4,3,1,5,8,2,7]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[6,2,3,1,5,4,7,8]=>[3,7,6,8,4,5,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[7,2,3,1,4,6,5,8]=>[2,7,6,8,5,3,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,2,3,1,4,5,7,6]=>[1,7,6,8,5,4,2,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[8,5,1,3,2,4,7,6]=>[1,4,8,6,7,5,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,5,1,3,2,6,4,8]=>[2,4,8,6,7,3,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[2,6,1,4,5,3,7,8]=>[7,3,8,5,4,6,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[3,6,4,1,5,2,7,8]=>[6,3,5,8,4,7,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[4,5,7,1,2,6,3,8]=>[5,4,2,8,7,3,6,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[3,7,4,1,2,6,5,8]=>[6,2,5,8,7,3,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[6,7,1,4,2,5,3,8]=>[3,2,8,5,7,4,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[2,7,1,3,5,6,4,8]=>[7,2,8,6,4,3,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[8,6,1,2,4,3,7,5]=>[1,3,8,7,5,6,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,8,1,3,4,6,7,5]=>[7,1,8,6,5,3,2,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[7,8,1,2,5,3,6,4]=>[2,1,8,7,4,6,3,5]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[3,8,4,1,2,5,7,6]=>[6,1,5,8,7,4,2,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[1,2,6,7,5,3,8,4]=>[8,7,3,2,4,6,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[1,7,5,3,2,8,4,6]=>[8,2,4,6,7,1,5,3]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,6,7,5,3,8,4,2]=>[8,3,2,4,6,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,6,5,7,2,3,8,4]=>[8,3,4,2,7,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[1,3,8,2,6,5,7,4]=>[8,6,1,7,3,4,2,5]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,2,5,7,6,3,4,8]=>[8,7,4,2,3,6,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[1,3,4,8,2,5,7,6]=>[8,6,5,1,7,4,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[1,5,7,6,2,3,4,8]=>[8,4,2,3,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,5,3,8,2,6,4,7]=>[8,4,6,1,7,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,4,8,3,2,5,7,6]=>[8,5,1,6,7,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[1,4,8,3,5,7,6,2]=>[8,5,1,6,4,2,3,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,2,4,8,3,5,7,6]=>[8,7,5,1,6,4,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[1,3,8,4,2,6,7,5]=>[8,6,1,5,7,3,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,4,8,2,3,5,7,6]=>[8,5,1,7,6,4,2,3]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[6,5,7,3,8,2,4,1]=>[3,4,2,6,1,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[4,2,6,7,5,8,3,1]=>[5,7,3,2,4,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[6,7,5,2,1,8,4,3]=>[3,2,4,7,8,1,5,6]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[5,6,8,3,1,7,2,4]=>[4,3,1,6,8,2,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[6,1,4,8,3,2,7,5]=>[3,8,5,1,6,7,2,4]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[3,4,6,8,2,1,5,7]=>[6,5,3,1,7,8,4,2]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,5,2,8,6,4,1,7]=>[6,4,7,1,3,5,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,2,5,7,3,8,6,1]=>[5,7,4,2,6,1,3,8]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[5,2,1,6,8,3,4,7]=>[4,7,8,3,1,6,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,2,6,8,4,1,3,7]=>[4,7,3,1,5,8,6,2]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[6,4,3,7,8,2,5,1]=>[3,5,6,2,1,7,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,4,3,1,7,8,2,5]=>[3,5,6,8,2,1,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[4,5,3,1,7,8,2,6]=>[5,4,6,8,2,1,7,3]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[7,1,3,5,4,8,2,6]=>[2,8,6,4,5,1,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,5,2,8,1,4,3,6]=>[2,4,7,1,8,5,6,3]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[1,4,5,7,3,8,6,2]=>[8,5,4,2,6,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,6,1,7,3,8,5,2]=>[5,3,8,2,6,1,4,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[6,3,7,1,8,4,5,2]=>[3,6,2,8,1,5,4,7]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[6,7,2,4,8,1,5,3]=>[3,2,7,5,1,8,4,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[3,2,5,6,7,8,1,4]=>[6,7,4,3,2,1,8,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[6,7,1,3,2,8,4,5]=>[3,2,8,6,7,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[6,2,7,1,3,4,8,5]=>[3,7,2,8,6,5,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[5,2,1,7,3,8,4,6]=>[4,7,8,2,6,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[3,6,2,7,4,1,8,5]=>[6,3,7,2,5,8,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[7,1,8,3,4,2,5,6]=>[2,8,1,6,5,7,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[7,2,4,8,6,1,3,5]=>[2,7,5,1,3,8,6,4]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[7,3,4,8,6,2,1,5]=>[2,6,5,1,3,7,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,5,7,2,1,8,6,4]=>[6,4,2,7,8,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[6,7,8,3,2,5,1,4]=>[3,2,1,6,7,4,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[6,3,7,8,2,5,4,1]=>[3,6,2,1,7,4,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[2,6,7,4,8,5,3,1]=>[7,3,2,5,1,4,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[6,2,4,7,1,8,5,3]=>[3,7,5,2,8,1,4,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[4,6,2,7,1,8,5,3]=>[5,3,7,2,8,1,4,6]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[2,5,7,8,1,6,3,4]=>[7,4,2,1,8,3,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[1,6,4,7,8,2,5,3]=>[8,3,5,2,1,7,4,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[2,5,6,1,7,8,4,3]=>[7,4,3,8,2,1,5,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[5,6,1,2,7,8,4,3]=>[4,3,8,7,2,1,5,6]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[6,7,2,1,8,5,3,4]=>[3,2,7,8,1,4,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[6,7,2,8,5,4,1,3]=>[3,2,7,1,4,5,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[1,6,7,4,8,5,3,2]=>[8,3,2,5,1,4,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,5,7,4,3,6,2,8]=>[8,4,2,5,6,3,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,8,4,5,3,6,2,7]=>[8,1,5,4,6,3,7,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[1,8,5,3,4,7,2,6]=>[8,1,4,6,5,2,7,3]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[1,8,2,4,6,3,7,5]=>[8,1,7,5,3,6,2,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[1,8,2,5,4,6,7,3]=>[8,1,7,4,5,3,2,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[3,6,2,7,1,4,5,8]=>[6,3,7,2,8,5,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[6,3,8,1,2,4,7,5]=>[3,6,1,8,7,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[1,4,7,5,2,6,8,3]=>[8,5,2,4,7,3,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[4,5,2,7,1,3,8,6]=>[5,4,7,2,8,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[4,5,2,3,6,1,8,7]=>[5,4,7,6,3,8,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,6,5,3,7,1,8,2]=>[5,3,4,6,2,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[4,2,3,8,6,7,1,5]=>[5,7,6,1,3,2,8,4]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[6,2,4,8,5,1,7,3]=>[3,7,5,1,4,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[6,2,5,4,8,3,7,1]=>[3,7,4,5,1,6,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[6,4,3,5,8,2,7,1]=>[3,5,6,4,1,7,2,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[5,2,3,4,8,1,6,7]=>[4,7,6,5,1,8,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[3,5,2,4,7,1,6,8]=>[6,4,7,5,2,8,3,1]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[4,5,3,7,1,6,2,8]=>[5,4,6,2,8,3,7,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[6,2,4,8,5,1,3,7]=>[3,7,5,1,4,8,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[7,6,3,8,5,1,2,4]=>[2,3,6,1,4,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[4,2,6,7,3,8,1,5]=>[5,7,3,2,6,1,8,4]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[1,5,7,4,2,8,6,3]=>[8,4,2,5,7,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,3,7,2,8,6,4,5]=>[8,6,2,7,1,3,5,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[1,4,3,7,8,6,2,5]=>[8,5,6,2,1,3,7,4]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[4,5,2,7,1,8,6,3]=>[5,4,7,2,8,1,3,6]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[4,3,6,5,7,8,1,2]=>[5,6,3,4,2,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[4,2,3,5,6,8,1,7]=>[5,7,6,4,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[5,2,6,4,7,8,3,1]=>[4,7,3,5,2,1,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[3,2,5,6,8,1,7,4]=>[6,7,4,3,1,8,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[6,4,5,2,3,8,7,1]=>[3,5,4,7,6,1,2,8]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[8,4,6,7,5,2,3,1]=>[1,5,3,2,4,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[6,4,2,5,3,8,7,1]=>[3,5,7,4,6,1,2,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[8,6,4,7,5,2,3,1]=>[1,3,5,2,4,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[8,6,2,7,4,5,3,1]=>[1,3,7,2,5,4,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[6,4,2,5,8,7,3,1]=>[3,5,7,4,1,2,6,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,8,7,4,5,2,3,1]=>[3,1,2,5,4,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[4,8,6,7,5,2,3,1]=>[5,1,3,2,4,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[6,8,4,7,5,2,3,1]=>[3,1,5,2,4,7,6,8]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[6,8,2,7,4,5,3,1]=>[3,1,7,2,5,4,6,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[8,6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[8,6,2,4,7,5,3,1]=>[1,3,7,5,2,4,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[6,8,2,4,7,5,3,1]=>[3,1,7,5,2,4,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,8,2,6,7,5,3,1]=>[5,1,7,3,2,4,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[2,8,4,6,7,5,3,1]=>[7,1,5,3,2,4,6,8]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[2,8,6,7,4,5,3,1]=>[7,1,3,2,5,4,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[6,8,7,2,4,5,3,1]=>[3,1,2,7,5,4,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[2,6,4,5,8,7,3,1]=>[7,3,5,4,1,2,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,6,4,8,7,5,3,1]=>[7,3,5,1,2,4,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[4,6,2,8,7,5,3,1]=>[5,3,7,1,2,4,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[8,2,4,6,7,5,3,1]=>[1,7,5,3,2,4,6,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[6,2,4,8,7,5,3,1]=>[3,7,5,1,2,4,6,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[4,2,6,8,7,5,3,1]=>[5,7,3,1,2,4,6,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[6,2,4,5,8,7,3,1]=>[3,7,5,4,1,2,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[8,2,6,7,4,5,3,1]=>[1,7,3,2,5,4,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[8,6,7,2,4,5,3,1]=>[1,3,2,7,5,4,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[6,4,5,2,8,7,3,1]=>[3,5,4,7,1,2,6,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[4,2,3,6,8,7,5,1]=>[5,7,6,3,1,2,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[8,6,7,4,2,5,3,1]=>[1,3,2,5,7,4,6,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[8,4,6,7,2,5,3,1]=>[1,5,3,2,7,4,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[6,4,8,7,2,5,3,1]=>[3,5,1,2,7,4,6,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[6,2,8,7,4,5,3,1]=>[3,7,1,2,5,4,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[6,4,8,7,5,2,3,1]=>[3,5,1,2,4,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[4,6,8,7,5,2,3,1]=>[5,3,1,2,4,7,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[2,6,8,7,4,5,3,1]=>[7,3,1,2,5,4,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[2,4,8,6,7,5,3,1]=>[7,5,1,3,2,4,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[4,2,8,6,7,5,3,1]=>[5,7,1,3,2,4,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[6,2,8,4,7,5,3,1]=>[3,7,1,5,2,4,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[8,2,6,4,7,5,3,1]=>[1,7,3,5,2,4,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[6,4,8,2,7,5,3,1]=>[3,5,1,7,2,4,6,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[4,6,8,2,7,5,3,1]=>[5,3,1,7,2,4,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[2,6,8,4,7,5,3,1]=>[7,3,1,5,2,4,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[4,6,8,7,2,5,3,1]=>[5,3,1,2,7,4,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[2,1,6,8,4,7,5,3]=>[7,8,3,1,5,2,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,8,7,4,2,5,3,1]=>[3,1,2,5,7,4,6,8]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[2,8,6,4,7,5,3,1]=>[7,1,3,5,2,4,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[4,8,6,2,7,5,3,1]=>[5,1,3,7,2,4,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[10,6,9,3,5,8,1,2,4,7]=>[1,5,2,8,6,3,10,9,7,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[3,3,4]
[4,2,5,6,3,8,1,7]=>[5,7,4,3,6,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[8,5,2,1,4,7,6,3]=>[1,4,7,8,5,2,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,5,1,8,3,4,6,2]=>[2,4,8,1,6,5,3,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[5,7,8,2,6,3,4,1]=>[4,2,1,7,3,6,5,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[7,1,6,3,5,8,4,2]=>[2,8,3,6,4,1,5,7]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[6,3,1,7,8,4,5,2]=>[3,6,8,2,1,5,4,7]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[3,4,8,2,7,5,1,6]=>[6,5,1,7,2,4,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[6,3,2,8,5,7,4,1]=>[3,6,7,1,4,2,5,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[3,4,8,1,6,2,7,5]=>[6,5,1,8,3,7,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[7,6,5,4,1,2,8,3]=>[2,3,4,5,8,7,1,6]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[2,8,1,6,5,7,4,3]=>[7,1,8,3,4,2,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[5,2,3,7,6,1,8,4]=>[4,7,6,2,3,8,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[8,1,2,4,6,7,3,5]=>[1,8,7,5,3,2,6,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[3,7,5,1,8,4,6,2]=>[6,2,4,8,1,5,3,7]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[4,8,1,6,3,5,2,7]=>[5,1,8,3,6,4,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[8,3,1,7,4,2,5,6]=>[1,6,8,2,5,7,4,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,1,8,2,4,5,7,6]=>[6,8,1,7,5,4,2,3]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,3,6,8,7,1,4,5]=>[7,6,3,1,2,8,5,4]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,6,4,2,8,5,7,1]=>[6,3,5,7,1,4,2,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[3,2,8,1,4,6,5,7]=>[6,7,1,8,5,3,4,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[3,6,1,8,4,7,2,5]=>[6,3,8,1,5,2,7,4]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[3,1,6,8,4,7,2,5]=>[6,8,3,1,5,2,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[4,1,6,8,3,2,7,5]=>[5,8,3,1,6,7,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[4,6,1,8,3,2,7,5]=>[5,3,8,1,6,7,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[4,7,8,2,1,3,6,5]=>[5,2,1,7,8,6,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[4,6,1,8,2,3,7,5]=>[5,3,8,1,7,6,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[4,1,6,8,2,3,7,5]=>[5,8,3,1,7,6,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[4,5,1,2,8,3,7,6]=>[5,4,8,7,1,6,2,3]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,6,2,8,4,7,1,5]=>[6,3,7,1,5,2,8,4]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[3,2,6,8,4,7,1,5]=>[6,7,3,1,5,2,8,4]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[4,2,6,8,3,1,7,5]=>[5,7,3,1,6,8,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[4,2,5,1,8,3,7,6]=>[5,7,4,8,1,6,2,3]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[4,1,2,5,8,3,7,6]=>[5,8,7,4,1,6,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[4,2,5,3,8,1,7,6]=>[5,7,4,6,1,8,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[3,2,5,4,8,7,1,6]=>[6,7,4,5,1,2,8,3]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[3,5,2,4,8,7,1,6]=>[6,4,7,5,1,2,8,3]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[5,4,1,3,2,8,7,6]=>[4,5,8,6,7,1,2,3]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,5,3,1,8,2,7,6]=>[5,4,6,8,1,7,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[4,5,1,3,8,2,7,6]=>[5,4,8,6,1,7,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[3,6,5,8,7,1,2,4]=>[6,3,4,1,2,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[2,5,6,8,7,3,4,1]=>[7,4,3,1,2,6,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[3,4,5,1,8,7,2,6]=>[6,5,4,8,1,2,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,1,3,5,8,2,7,6]=>[5,8,6,4,1,7,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[4,3,6,8,2,1,7,5]=>[5,6,3,1,7,8,2,4]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[3,4,5,2,8,7,1,6]=>[6,5,4,7,1,2,8,3]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[5,3,1,4,2,8,7,6]=>[4,6,8,5,7,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[5,1,3,4,2,8,7,6]=>[4,8,6,5,7,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[5,1,3,2,4,8,7,6]=>[4,8,6,7,5,1,2,3]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[3,2,4,5,8,7,1,6]=>[6,7,5,4,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[4,2,3,5,8,1,7,6]=>[5,7,6,4,1,8,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[5,2,1,3,4,8,7,6]=>[4,7,8,6,5,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[5,1,2,3,4,8,7,6]=>[4,8,7,6,5,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[8,6,2,5,4,1,3,7]=>[1,3,7,4,5,8,6,2]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[8,2,1,6,3,4,5,7]=>[1,7,8,3,6,5,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,3,5,6,2,4,1,7]=>[1,6,4,3,7,5,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,1,2,3,4,6,5,7]=>[1,8,7,6,5,3,4,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[6,7,8,2,1,4,5,3]=>[3,2,1,7,8,5,4,6]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[5,3,8,4,7,2,6,1]=>[4,6,1,5,2,7,3,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[6,2,8,5,3,1,7,4]=>[3,7,1,4,6,8,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[8,2,6,4,7,1,3,5]=>[1,7,3,5,2,8,6,4]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[3,4,1,8,2,6,7,5]=>[6,5,8,1,7,3,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[6,8,2,5,7,4,1,3]=>[3,1,7,4,2,5,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[4,2,8,3,1,5,6,7]=>[5,7,1,6,8,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[2,5,7,3,8,4,6,1]=>[7,4,2,6,1,5,3,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[4,2,1,8,7,5,6,3]=>[5,7,8,1,2,4,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[8,3,6,7,1,5,4,2]=>[1,6,3,2,8,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[1,3,7,5,8,6,4,2]=>[8,6,2,4,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,7,8,4,3,1,6,2]=>[4,2,1,5,6,8,3,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[3,5,7,1,4,8,6,2]=>[6,4,2,8,5,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[5,7,4,8,3,6,2,1]=>[4,2,5,1,6,3,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[1,8,3,2,4,7,5,6]=>[8,1,6,7,5,2,4,3]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[3,6,4,8,2,5,7,1]=>[6,3,5,1,7,4,2,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[4,3,7,2,5,8,1,6]=>[5,6,2,7,4,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[2,6,4,3,8,5,1,7]=>[7,3,5,6,1,4,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[8,2,1,3,4,5,7,6]=>[1,7,8,6,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[4,6,8,3,2,1,5,7]=>[5,3,1,6,7,8,4,2]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[3,2,6,8,5,4,1,7]=>[6,7,3,1,4,5,8,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[4,8,2,6,5,3,1,7]=>[5,1,7,3,4,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[3,1,8,6,5,4,2,7]=>[6,8,1,3,4,5,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[5,4,8,7,3,2,6,1]=>[4,5,1,2,6,7,3,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[6,4,8,3,7,2,5,1]=>[3,5,1,6,2,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[4,8,5,7,3,1,6,2]=>[5,1,4,2,6,8,3,7]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,7,8,3,1,6,5,2]=>[5,2,1,6,8,3,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[8,7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[4,6,1,3,8,7,5,2]=>[5,3,8,6,1,2,4,7]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[6,8,2,1,7,4,5,3]=>[3,1,7,8,2,5,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[3,6,1,2,7,5,8,4]=>[6,3,8,7,2,4,1,5]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,7,6,2,5,8,1,4]=>[6,2,3,7,4,1,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[3,6,2,5,8,7,4,1]=>[6,3,7,4,1,2,5,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[8,5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[6,3,2,4,8,7,5,1]=>[3,6,7,5,1,2,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[3,7,2,4,6,1,8,5]=>[6,2,7,5,3,8,1,4]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,3,7,2,8,1,4,6]=>[4,6,2,7,1,8,5,3]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[6,3,2,8,7,5,1,4]=>[3,6,7,1,2,4,8,5]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[7,3,8,2,6,5,1,4]=>[2,6,1,7,3,4,8,5]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[6,4,8,7,2,5,1,3]=>[3,5,1,2,7,4,8,6]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[2,5,4,8,1,7,6,3]=>[7,4,5,1,8,2,3,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,6,1,2,8,7,4,3]=>[4,3,8,7,1,2,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[7,5,2,8,1,6,4,3]=>[2,4,7,1,8,3,5,6]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[2,7,6,8,1,5,4,3]=>[7,2,3,1,8,4,5,6]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[7,8,5,1,6,2,4,3]=>[2,1,4,8,3,7,5,6]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[7,4,8,6,1,2,5,3]=>[2,5,1,3,8,7,4,6]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[7,2,1,8,3,6,5,4]=>[2,7,8,1,6,3,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,8,7,1,6,4,3,2]=>[4,1,2,8,3,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[7,6,5,4,3,2,9,8,1]=>[3,4,5,6,7,8,1,2,9]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,2]
[10,7,6,5,4,3,2,1,9,8]=>[1,4,5,6,7,8,9,10,2,3]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[8,5,4,3,7,2,1,6]=>[1,4,5,6,2,7,8,3]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[6,5,4,8,3,2,7,1]=>[3,4,5,1,6,7,2,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[7,6,4,3,2,8,5,1]=>[2,3,5,6,7,1,4,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[8,6,5,4,3,2,9,7,1]=>[2,4,5,6,7,8,1,3,9]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,2]
[8,7,6,5,4,3,2,10,9,1]=>[3,4,5,6,7,8,9,1,2,10]=>[[1,2,3,4,5,6,7,10],[8,9]]=>[8,2]
[7,4,1,2,5,8,3,6]=>[2,5,8,7,4,1,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,7,4,2,5,1,3,8]=>[3,2,5,7,4,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[5,7,2,4,6,8,1,3]=>[4,2,7,5,3,1,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,4,7,1,3,8,5,2]=>[3,5,2,8,6,1,4,7]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[4,5,1,2,7,6,8,3]=>[5,4,8,7,2,3,1,6]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[5,4,6,8,3,1,2,7]=>[4,5,3,1,6,8,7,2]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[4,6,1,3,8,5,2,7]=>[5,3,8,6,1,4,7,2]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[1,3,7,4,2,8,5,6]=>[8,6,2,5,7,1,4,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[4,6,1,3,7,2,5,8]=>[5,3,8,6,2,7,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[7,5,8,6,2,1,3,4]=>[2,4,1,3,7,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[2,8,1,3,6,5,4,7]=>[7,1,8,6,3,4,5,2]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[2,8,7,3,5,4,1,6]=>[7,1,2,6,4,5,8,3]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[7,3,8,4,1,2,6,5]=>[2,6,1,5,8,7,3,4]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[6,8,3,2,7,1,5,4]=>[3,1,6,7,2,8,4,5]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[7,4,2,5,8,1,6,3]=>[2,5,7,4,1,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,5,6,8,2,1,4,3]=>[2,4,3,1,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[1,7,2,3,5,6,8,4]=>[8,2,7,6,4,3,1,5]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[3,4,6,2,8,5,7,1]=>[6,5,3,7,1,4,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[4,2,1,7,5,8,3,6]=>[5,7,8,2,4,1,6,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[4,2,1,7,5,6,8,3]=>[5,7,8,2,4,3,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[3,4,6,1,8,5,2,7]=>[6,5,3,8,1,4,7,2]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,1,6,7,5,8,2,3]=>[5,8,3,2,4,1,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,3,7,1,6,8,2,5]=>[5,6,2,8,3,1,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[4,1,7,3,6,2,5,8]=>[5,8,2,6,3,7,4,1]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[5,8,7,6,1,2,4,3]=>[4,1,2,3,8,7,5,6]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[5,8,7,6,2,1,3,4]=>[4,1,2,3,7,8,6,5]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[4,2,7,3,6,1,8,5]=>[5,7,2,6,3,8,1,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,8,5,6,2,4,1,7]=>[6,1,4,3,7,5,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,8,6,5,3,7,1,4]=>[7,1,3,4,6,2,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[3,8,2,1,4,6,7,5]=>[6,1,7,8,5,3,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[4,2,7,5,6,3,8,1]=>[5,7,2,4,3,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[3,2,6,1,4,5,8,7]=>[6,7,3,8,5,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[3,8,1,2,4,6,5,7]=>[6,1,8,7,5,3,4,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[5,8,7,6,1,3,4,2]=>[4,1,2,3,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[5,8,7,6,2,3,4,1]=>[4,1,2,3,7,6,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[4,1,7,5,6,2,3,8]=>[5,8,2,4,3,7,6,1]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[3,8,1,5,2,6,4,7]=>[6,1,8,4,7,3,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,8,7,5,4,3,1,6]=>[7,1,2,4,5,6,8,3]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[4,1,7,5,6,3,2,8]=>[5,8,2,4,3,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[5,8,7,6,1,3,2,4]=>[4,1,2,3,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[5,8,7,6,4,1,2,3]=>[4,1,2,3,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,4,3,5,2,8,1,6]=>[2,5,6,4,7,1,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,4,3,7,5,1,6,2]=>[1,5,6,2,4,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,4,6,2,3,5,8,1]=>[2,5,3,7,6,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[5,1,7,2,4,6,8,3]=>[4,8,2,7,5,3,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[4,7,5,6,1,3,8,2]=>[5,2,4,3,8,6,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,7,6,4,3,1,8,2]=>[4,2,3,5,6,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[5,7,6,3,1,4,8,2]=>[4,2,3,6,8,5,1,7]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[8,7,5,3,4,1,6,2]=>[1,2,4,6,5,8,3,7]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[3,2,8,6,7,1,4,5]=>[6,7,1,3,2,8,5,4]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[4,8,3,6,5,2,1,7]=>[5,1,6,3,4,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[1,8,6,5,4,2,3,7]=>[8,1,3,4,5,7,6,2]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[1,8,7,2,3,5,4,6]=>[8,1,2,7,6,4,5,3]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[1,8,7,2,5,3,4,6]=>[8,1,2,7,4,6,5,3]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[3,6,8,5,1,2,4,7]=>[6,3,1,4,8,7,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,7,5,1,8,2,6,4]=>[6,2,4,8,1,7,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[7,1,4,5,8,6,2,3]=>[2,8,5,4,1,3,7,6]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[7,5,6,1,2,8,4,3]=>[2,4,3,8,7,1,5,6]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[4,1,3,7,8,6,2,5]=>[5,8,6,2,1,3,7,4]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[4,5,7,6,8,2,1,3]=>[5,4,2,3,1,7,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,7,6,8,4,2,1,3]=>[4,2,3,1,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[7,4,3,8,2,6,5,1]=>[2,5,6,1,7,3,4,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[8,7,1,3,5,4,6,2]=>[1,2,8,6,4,5,3,7]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[7,1,8,3,4,2,6,5]=>[2,8,1,6,5,7,3,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,1,4,8,2,5,7,6]=>[6,8,5,1,7,4,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[5,8,2,6,3,1,4,7]=>[4,1,7,3,6,8,5,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,8,2,3,4,6,5,1]=>[2,1,7,6,5,3,4,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[8,1,7,2,4,5,3,6]=>[1,8,2,7,5,4,6,3]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[8,1,3,6,2,5,4,7]=>[1,8,6,3,7,4,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,2,1,6,3,5,4,8]=>[2,7,8,3,6,4,5,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[2,7,1,6,3,5,4,8]=>[7,2,8,3,6,4,5,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,7,1,5,4,3,6,8]=>[7,2,8,4,5,6,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,2,1,5,4,3,6,8]=>[2,7,8,4,5,6,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,1,3,5,4,2,6,7]=>[1,8,6,4,5,7,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[8,1,5,3,4,2,6,7]=>[1,8,4,6,5,7,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[8,1,5,6,2,3,7,4]=>[1,8,4,3,7,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,1,4,5,3,2,6,7]=>[1,8,5,4,6,7,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[8,1,4,3,5,2,6,7]=>[1,8,5,6,4,7,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[7,2,1,4,5,3,6,8]=>[2,7,8,5,4,6,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[2,7,1,4,5,3,6,8]=>[7,2,8,5,4,6,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[2,6,3,1,5,4,7,8]=>[7,3,6,8,4,5,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[6,3,2,1,5,4,7,8]=>[3,6,7,8,4,5,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,3,1,4,5,2,6,8]=>[2,6,8,5,4,7,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[7,3,1,5,4,2,6,8]=>[2,6,8,4,5,7,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,3,1,6,2,5,4,8]=>[2,6,8,3,7,4,5,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[3,7,1,6,2,5,4,8]=>[6,2,8,3,7,4,5,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[3,7,1,4,5,2,6,8]=>[6,2,8,5,4,7,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[3,6,2,1,5,4,7,8]=>[6,3,7,8,4,5,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[2,3,6,1,5,4,7,8]=>[7,6,3,8,4,5,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[3,5,2,4,1,6,7,8]=>[6,4,7,5,8,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[6,3,4,1,5,2,7,8]=>[3,6,5,8,4,7,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[6,2,4,1,5,3,7,8]=>[3,7,5,8,4,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[2,6,4,1,5,3,7,8]=>[7,3,5,8,4,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,6,5,1,3,7,4,8]=>[7,3,4,8,6,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[6,2,5,1,3,7,4,8]=>[3,7,4,8,6,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,5,2,1,3,7,4,8]=>[3,4,7,8,6,2,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,6,1,2,4,5,3,8]=>[2,3,8,7,5,4,6,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[6,7,1,2,8,3,5,4]=>[3,2,8,7,1,6,4,5]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,7,1,2,5,4,3,8]=>[3,2,8,7,4,5,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,6,2,1,3,7,4,8]=>[4,3,7,8,6,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,2,6,1,3,7,4,8]=>[4,7,3,8,6,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[2,4,6,1,5,3,7,8]=>[7,5,3,8,4,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[4,7,1,3,5,2,6,8]=>[5,2,8,6,4,7,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[4,7,1,5,3,2,6,8]=>[5,2,8,4,6,7,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[5,7,1,4,2,6,3,8]=>[4,2,8,5,7,3,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,7,1,6,2,3,8,4]=>[4,2,8,3,7,6,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[5,6,3,1,2,7,4,8]=>[4,3,6,8,7,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[4,2,5,3,1,6,7,8]=>[5,7,4,6,8,3,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[5,3,6,1,2,7,4,8]=>[4,6,3,8,7,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[3,4,6,1,5,2,7,8]=>[6,5,3,8,4,7,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[8,2,7,5,4,1,3,6]=>[1,7,2,4,5,8,6,3]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,8,5,2,3,4,1,7]=>[3,1,4,7,6,5,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,6,8,7,1,5,3,4]=>[7,3,1,2,8,4,6,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[6,5,1,2,7,8,4,3]=>[3,4,8,7,2,1,5,6]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,6,2,4,5,3,8,1]=>[2,3,7,5,4,6,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[8,6,7,5,3,1,4,2]=>[1,3,2,4,6,8,5,7]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[8,5,2,7,1,6,4,3]=>[1,4,7,2,8,3,5,6]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[3,4,6,1,7,8,5,2]=>[6,5,3,8,2,1,4,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[5,8,6,1,7,2,4,3]=>[4,1,3,8,2,7,5,6]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[5,8,7,3,2,6,4,1]=>[4,1,2,6,7,3,5,8]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[5,8,1,7,2,6,4,3]=>[4,1,8,2,7,3,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[8,1,5,7,2,6,4,3]=>[1,8,4,2,7,3,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[8,1,7,2,5,6,3,4]=>[1,8,2,7,4,3,6,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[5,8,7,2,1,6,3,4]=>[4,1,2,7,8,3,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[4,8,1,5,2,6,7,3]=>[5,1,8,4,7,3,2,6]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,1,2,8,5,6,3,4]=>[2,8,7,1,4,3,6,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[8,7,2,1,5,6,3,4]=>[1,2,7,8,4,3,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[7,5,6,2,1,8,4,3]=>[2,4,3,7,8,1,5,6]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[8,7,5,2,1,6,4,3]=>[1,2,4,7,8,3,5,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[7,1,3,5,8,6,2,4]=>[2,8,6,4,1,3,7,5]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[4,5,3,6,8,2,7,1]=>[5,4,6,3,1,7,2,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[5,6,3,4,8,1,7,2]=>[4,3,6,5,1,8,2,7]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[4,6,7,8,5,1,3,2]=>[5,3,2,1,4,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[8,4,3,1,2,6,7,5]=>[1,5,6,8,7,3,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,5,1,6,3,4,7,2]=>[1,4,8,3,6,5,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[4,6,8,1,5,3,7,2]=>[5,3,1,8,4,6,2,7]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[3,6,4,8,7,1,5,2]=>[6,3,5,1,2,8,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[5,6,8,3,1,2,7,4]=>[4,3,1,6,8,7,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[8,6,1,3,5,2,7,4]=>[1,3,8,6,4,7,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,7,1,3,5,6,2,4]=>[1,2,8,6,4,3,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[5,8,2,4,3,6,7,1]=>[4,1,7,5,6,3,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,8,2,3,1,6,7,4]=>[4,1,7,6,8,3,2,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[8,6,5,1,4,3,7,2]=>[1,3,4,8,5,6,2,7]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[2,4,8,6,1,3,7,5]=>[7,5,1,3,8,6,2,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[6,7,1,8,4,3,5,2]=>[3,2,8,1,5,6,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[2,7,8,4,1,6,3,5]=>[7,2,1,5,8,3,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[2,6,5,4,1,3,8,7]=>[7,3,4,5,8,6,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[4,1,7,6,3,8,2,5]=>[5,8,2,3,6,1,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[4,8,2,5,7,6,3,1]=>[5,1,7,4,2,3,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[3,4,6,5,1,8,2,7]=>[6,5,3,4,8,1,7,2]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[4,6,1,5,2,3,8,7]=>[5,3,8,4,7,6,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[6,2,3,5,1,4,8,7]=>[3,7,6,4,8,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[2,6,7,5,1,8,4,3]=>[7,3,2,4,8,1,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[8,6,1,2,5,3,4,7]=>[1,3,8,7,4,6,5,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[6,2,5,1,8,3,4,7]=>[3,7,4,8,1,6,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[7,6,5,2,8,3,4,1]=>[2,3,4,7,1,6,5,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[2,6,3,5,1,8,7,4]=>[7,3,6,4,8,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[8,1,3,5,7,4,6,2]=>[1,8,6,4,2,5,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[4,8,5,1,6,7,2,3]=>[5,1,4,8,3,2,7,6]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[3,8,5,1,6,7,2,4]=>[6,1,4,8,3,2,7,5]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[3,5,1,8,6,7,4,2]=>[6,4,8,1,3,2,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[8,3,5,4,6,7,1,2]=>[1,6,4,5,3,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[5,1,3,8,6,7,4,2]=>[4,8,6,1,3,2,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[8,1,6,3,5,2,7,4]=>[1,8,3,6,4,7,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,7,6,2,5,3,1,4]=>[1,2,3,7,4,6,8,5]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[7,6,2,8,5,1,4,3]=>[2,3,7,1,4,8,5,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[8,1,3,7,5,2,6,4]=>[1,8,6,2,4,7,3,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,4,8,7,5,1,6,2]=>[6,5,1,2,4,8,3,7]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[6,3,8,1,4,2,5,7]=>[3,6,1,8,5,7,4,2]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[6,3,8,5,7,4,1,2]=>[3,6,1,4,2,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[2,1,4,8,7,5,6,3]=>[7,8,5,1,2,4,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[7,1,5,8,2,6,4,3]=>[2,8,4,1,7,3,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[3,6,8,2,4,1,7,5]=>[6,3,1,7,5,8,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[2,5,8,4,6,7,3,1]=>[7,4,1,5,3,2,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[8,4,3,2,6,7,1,5]=>[1,5,6,7,3,2,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[4,2,8,1,6,7,3,5]=>[5,7,1,8,3,2,6,4]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[2,4,8,1,6,7,3,5]=>[7,5,1,8,3,2,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,4,8,7,2,1,5,6]=>[6,5,1,2,7,8,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[7,8,5,3,6,4,2,1]=>[2,1,4,6,3,5,7,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[2,8,5,7,4,1,3,6]=>[7,1,4,2,5,8,6,3]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[3,8,1,4,6,7,2,5]=>[6,1,8,5,3,2,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[8,2,3,4,6,7,1,5]=>[1,7,6,5,3,2,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[7,4,3,2,8,5,1,6]=>[2,5,6,7,1,4,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,3,2,8,4,6,1,7]=>[4,6,7,1,5,3,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,4,2,6,5,3,1,7]=>[1,5,7,3,4,6,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[7,4,2,5,3,1,6,8]=>[2,5,7,4,6,8,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,3,6,2,5,4,1,7]=>[1,6,3,7,4,5,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[5,4,8,3,2,6,1,7]=>[4,5,1,6,7,3,8,2]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,4,7,8,2,3,1,5]=>[3,5,2,1,7,6,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,8,3,6,4,2,1,7]=>[4,1,6,3,5,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[1,6,4,3,2,8,7,5]=>[8,3,5,6,7,1,2,4]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[1,5,3,2,8,4,7,6]=>[8,4,6,7,1,5,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[7,3,8,6,4,1,2,5]=>[2,6,1,3,5,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,1,2,7,3,8,5,4]=>[3,8,7,2,6,1,4,5]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[2,1,7,4,3,8,6,5]=>[7,8,2,5,6,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[6,1,4,3,8,2,7,5]=>[3,8,5,6,1,7,2,4]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[5,1,3,2,8,7,4,6]=>[4,8,6,7,1,2,5,3]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[1,8,3,7,2,6,5,4]=>[8,1,6,2,7,3,4,5]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[8,3,1,6,7,2,5,4]=>[1,6,8,3,2,7,4,5]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[7,4,8,6,1,3,2,5]=>[2,5,1,3,8,6,7,4]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,7,6,1,5,2,4,8]=>[6,2,3,8,4,7,5,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[1,5,4,8,3,2,7,6]=>[8,4,5,1,6,7,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[5,4,7,1,3,2,6,8]=>[4,5,2,8,6,7,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[4,6,8,2,5,1,3,7]=>[5,3,1,7,4,8,6,2]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[1,2,6,3,8,5,7,4]=>[8,7,3,6,1,4,2,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,5,2,6,8,4,7,3]=>[8,4,7,3,1,5,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[5,7,2,3,8,1,4,6]=>[4,2,7,6,1,8,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[6,4,7,5,8,1,2,3]=>[3,5,2,4,1,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[8,6,4,2,1,7,5,3]=>[1,3,5,7,8,2,4,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[7,4,2,1,5,8,6,3]=>[2,5,7,8,4,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,6,4,1,8,5,2,3]=>[2,3,5,8,1,4,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,6,4,8,7,5,3,2]=>[8,3,5,1,2,4,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[7,5,1,3,2,8,6,4]=>[2,4,8,6,7,1,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,8,4,1,2,7,5,3]=>[3,1,5,8,7,2,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[7,5,8,1,2,6,4,3]=>[2,4,1,8,7,3,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[7,4,8,1,6,3,5,2]=>[2,5,1,8,3,6,4,7]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,8,2,1,7,3,6,4]=>[4,1,7,8,2,6,3,5]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[1,3,8,7,6,2,5,4]=>[8,6,1,2,3,7,4,5]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[5,4,1,8,7,3,2,6]=>[4,5,8,1,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[3,5,1,8,7,2,4,6]=>[6,4,8,1,2,7,5,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[7,6,8,1,5,4,2,3]=>[2,3,1,8,4,5,7,6]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,6,1,7,5,4,3,2]=>[1,3,8,2,4,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[7,1,5,8,6,4,3,2]=>[2,8,4,1,3,5,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[4,1,8,7,6,2,5,3]=>[5,8,1,2,3,7,4,6]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,1,8,7,6,5,2,4]=>[6,8,1,2,3,4,7,5]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[1,6,4,5,2,3,7,8]=>[8,3,5,4,7,6,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,7,4,5,2,3,6,8]=>[8,2,5,4,7,6,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,7,3,5,2,4,6,8]=>[8,2,6,4,7,5,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,6,3,5,2,4,7,8]=>[8,3,6,4,7,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,6,3,4,2,5,7,8]=>[8,3,6,5,7,4,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,7,3,4,2,5,6,8]=>[8,2,6,5,7,4,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[1,8,6,7,3,4,2,5]=>[8,1,3,2,6,5,7,4]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,8,5,7,3,4,2,6]=>[8,1,4,2,6,5,7,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,7,3,4,2,6,5,8]=>[8,2,6,5,7,3,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,5,2,8,4,7,3,6]=>[8,4,7,1,5,2,6,3]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[1,4,2,8,5,7,3,6]=>[8,5,7,1,4,2,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,7,3,5,2,6,4,8]=>[8,2,6,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,8,4,7,3,5,2,6]=>[8,1,5,2,6,4,7,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,7,3,6,2,5,4,8]=>[8,2,6,3,7,4,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,7,3,6,2,4,5,8]=>[8,2,6,3,7,5,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,7,4,6,2,3,5,8]=>[8,2,5,3,7,6,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,8,5,6,2,3,4,7]=>[8,1,4,3,7,6,5,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,8,5,6,2,4,3,7]=>[8,1,4,3,7,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,3,2,8,5,6,4,7]=>[8,6,7,1,4,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,4,2,8,5,6,3,7]=>[8,5,7,1,4,3,6,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,5,2,8,4,6,3,7]=>[8,4,7,1,5,3,6,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,6,2,8,4,5,3,7]=>[8,3,7,1,5,4,6,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[8,1,2,4,5,3,6,7]=>[1,8,7,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[1,6,4,7,2,8,3,5]=>[8,3,5,2,7,1,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[8,4,6,2,3,5,1,7]=>[1,5,3,7,6,4,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,4,8,2,3,6,1,7]=>[4,5,1,7,6,3,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[1,7,6,4,8,2,3,5]=>[8,2,3,5,1,7,6,4]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[5,8,7,4,1,2,3,6]=>[4,1,2,5,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,8,5,3,4,1,2,7]=>[3,1,4,6,5,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,5,1,6,3,7,2,4]=>[1,4,8,3,6,2,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,1,3,7,4,8,2,5]=>[3,8,6,2,5,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[6,1,5,8,2,3,4,7]=>[3,8,4,1,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[6,1,5,7,8,2,3,4]=>[3,8,4,2,1,7,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[3,8,7,5,1,2,4,6]=>[6,1,2,4,8,7,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[3,7,6,1,2,4,5,8]=>[6,2,3,8,7,5,4,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,5,7,4,1,2,3,6]=>[1,4,2,5,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,6,2,3,8,1,4,5]=>[2,3,7,6,1,8,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[7,4,8,5,1,6,2,3]=>[2,5,1,4,8,3,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[8,6,2,3,1,7,4,5]=>[1,3,7,6,8,2,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,6,4,1,2,7,3,5]=>[1,3,5,8,7,2,6,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,7,2,8,6,3,4,5]=>[8,2,7,1,3,6,5,4]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[7,5,8,1,3,6,2,4]=>[2,4,1,8,6,3,7,5]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[5,4,1,8,2,3,6,7]=>[4,5,8,1,7,6,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[1,4,8,7,2,3,5,6]=>[8,5,1,2,7,6,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,5,8,7,2,3,4,6]=>[8,4,1,2,7,6,5,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[7,6,8,1,5,2,3,4]=>[2,3,1,8,4,7,6,5]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,1,5,8,6,2,3,4]=>[2,8,4,1,3,7,6,5]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[6,1,8,2,7,3,4,5]=>[3,8,1,7,2,6,5,4]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[4,1,8,7,2,3,5,6]=>[5,8,1,2,7,6,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[5,1,8,7,2,3,4,6]=>[4,8,1,2,7,6,5,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[1,8,7,6,4,5,3,2]=>[8,1,2,3,5,4,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[1,8,7,3,6,5,4,2]=>[8,1,2,6,3,4,5,7]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[7,1,5,8,3,4,2,6]=>[2,8,4,1,6,5,7,3]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,1,4,3,2,5,6,8]=>[2,8,5,6,7,4,3,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[6,4,2,3,8,5,7,1]=>[3,5,7,6,1,4,2,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[6,4,2,7,5,8,3,1]=>[3,5,7,2,4,1,6,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[2,4,1,7,5,8,3,6]=>[7,5,8,2,4,1,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[7,1,4,6,5,2,3,8]=>[2,8,5,3,4,7,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[7,1,4,6,5,8,2,3]=>[2,8,5,3,4,1,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,1,4,6,3,8,2,5]=>[2,8,5,3,6,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,1,4,3,2,5,8,6]=>[2,8,5,6,7,4,1,3]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,1,4,6,5,2,8,3]=>[2,8,5,3,4,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,1,4,6,5,3,8,2]=>[2,8,5,3,4,6,1,7]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[7,1,4,6,5,3,2,8]=>[2,8,5,3,4,6,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[6,4,2,7,5,3,8,1]=>[3,5,7,2,4,6,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,4,7,2,6,8,5,1]=>[6,5,2,7,3,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,4,7,1,6,8,2,5]=>[6,5,2,8,3,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,4,7,1,6,8,5,2]=>[6,5,2,8,3,1,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[2,4,1,7,5,3,6,8]=>[7,5,8,2,4,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[3,4,1,7,8,6,2,5]=>[6,5,8,2,1,3,7,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[6,4,2,3,8,5,1,7]=>[3,5,7,6,1,4,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[6,4,2,7,5,8,1,3]=>[3,5,7,2,4,1,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[6,4,2,7,5,3,1,8]=>[3,5,7,2,4,6,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[3,4,7,2,6,8,1,5]=>[6,5,2,7,3,1,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[5,4,7,3,6,8,2,1]=>[4,5,2,6,3,1,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[3,4,7,2,6,5,1,8]=>[6,5,2,7,3,4,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[4,8,3,2,5,6,1,7]=>[5,1,6,7,4,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[4,8,7,3,5,1,2,6]=>[5,1,2,6,4,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[4,8,7,1,3,5,2,6]=>[5,1,2,8,6,4,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[4,8,3,1,2,6,5,7]=>[5,1,6,8,7,3,4,2]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[3,4,7,1,6,2,5,8]=>[6,5,2,8,3,7,4,1]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,4,7,1,6,2,8,5]=>[6,5,2,8,3,7,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,4,7,2,6,5,8,1]=>[6,5,2,7,3,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[4,8,3,1,2,6,7,5]=>[5,1,6,8,7,3,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[5,8,1,6,3,4,2,7]=>[4,1,8,3,6,5,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,8,5,1,3,4,7,2]=>[3,1,4,8,6,5,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[5,8,3,4,2,6,7,1]=>[4,1,6,5,7,3,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,4,7,3,6,2,8,1]=>[4,5,2,6,3,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[5,4,7,2,6,1,8,3]=>[4,5,2,7,3,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[6,4,3,7,5,1,2,8]=>[3,5,6,2,4,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,4,3,7,5,1,8,2]=>[3,5,6,2,4,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[6,2,4,3,1,5,8,7]=>[3,7,5,6,8,4,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[3,8,7,4,1,5,2,6]=>[6,1,2,5,8,4,7,3]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,4,7,3,6,1,5,8]=>[7,5,2,6,3,8,4,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[5,8,3,2,1,6,4,7]=>[4,1,6,7,8,3,5,2]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[5,8,7,4,3,1,2,6]=>[4,1,2,5,6,8,7,3]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[5,4,7,3,6,2,1,8]=>[4,5,2,6,3,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[7,3,8,2,1,6,5,4]=>[2,6,1,7,8,3,4,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[7,4,3,8,5,2,1,6]=>[2,5,6,1,4,7,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[6,5,2,8,4,3,1,7]=>[3,4,7,1,5,6,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,3,8,7,5,1,6,2]=>[5,6,1,2,4,8,3,7]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[8,4,3,7,5,2,6,1]=>[1,5,6,2,4,7,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[4,3,7,8,5,1,2,6]=>[5,6,2,1,4,8,7,3]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[6,2,5,8,3,1,4,7]=>[3,7,4,1,6,8,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[5,2,3,8,4,1,6,7]=>[4,7,6,1,5,8,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[5,3,8,7,4,1,6,2]=>[4,6,1,2,5,8,3,7]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[8,6,5,3,7,2,4,1]=>[1,3,4,6,2,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[7,5,4,3,8,2,6,1]=>[2,4,5,6,1,7,3,8]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[6,4,5,3,8,2,7,1]=>[3,5,4,6,1,7,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,4,6,3,8,2,5,1]=>[2,5,3,6,1,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,5,6,3,8,2,4,1]=>[2,4,3,6,1,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,5,6,3,7,2,4,1]=>[1,4,3,6,2,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[7,4,6,3,5,2,8,1]=>[2,5,3,6,4,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,4,6,3,5,2,7,1]=>[1,5,3,6,4,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,4,7,3,5,2,6,1]=>[1,5,2,6,4,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,5,7,3,4,2,6,1]=>[1,4,2,6,5,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,5,8,4,3,2,6,1]=>[2,4,1,5,6,7,3,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[6,5,8,4,3,2,7,1]=>[3,4,1,5,6,7,2,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[6,5,8,3,4,2,7,1]=>[3,4,1,6,5,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,5,8,3,4,2,6,1]=>[2,4,1,6,5,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,5,8,4,6,2,3,1]=>[2,4,1,5,3,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[7,4,8,3,6,2,5,1]=>[2,5,1,6,3,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[7,4,8,3,5,2,6,1]=>[2,5,1,6,4,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[6,4,8,3,5,2,7,1]=>[3,5,1,6,4,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[6,4,7,3,5,2,8,1]=>[3,5,2,6,4,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[5,4,8,3,7,2,6,1]=>[4,5,1,6,2,7,3,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[6,5,8,3,7,2,4,1]=>[3,4,1,6,2,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[6,5,8,4,7,2,3,1]=>[3,4,1,5,2,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[6,5,8,4,7,3,2,1]=>[3,4,1,5,2,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[6,4,7,3,8,2,5,1]=>[3,5,2,6,1,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[5,4,7,3,8,2,6,1]=>[4,5,2,6,1,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[5,4,6,3,8,2,7,1]=>[4,5,3,6,1,7,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[5,3,6,2,4,7,8,1]=>[4,6,3,7,5,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[5,3,6,1,4,8,7,2]=>[4,6,3,8,5,1,2,7]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[5,3,7,2,4,6,8,1]=>[4,6,2,7,5,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[4,3,1,5,6,8,7,2]=>[5,6,8,4,3,1,2,7]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[4,2,1,5,8,6,3,7]=>[5,7,8,4,1,3,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[4,2,1,5,8,6,7,3]=>[5,7,8,4,1,3,2,6]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[4,2,1,5,8,7,6,3]=>[5,7,8,4,1,2,3,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[4,3,1,5,7,8,6,2]=>[5,6,8,4,2,1,3,7]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[4,3,1,7,5,8,6,2]=>[5,6,8,2,4,1,3,7]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[6,7,3,1,4,8,2,5]=>[3,2,6,8,5,1,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[5,3,7,1,4,8,2,6]=>[4,6,2,8,5,1,7,3]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[4,3,1,5,7,8,2,6]=>[5,6,8,4,2,1,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[3,2,1,8,5,4,6,7]=>[6,7,8,1,4,5,3,2]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[3,2,1,8,5,7,4,6]=>[6,7,8,1,4,2,5,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[3,2,1,8,7,5,4,6]=>[6,7,8,1,2,4,5,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[5,2,7,1,8,4,3,6]=>[4,7,2,8,1,5,6,3]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[6,7,2,1,8,4,3,5]=>[3,2,7,8,1,5,6,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[6,7,2,1,8,4,5,3]=>[3,2,7,8,1,5,4,6]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[3,2,1,8,5,6,4,7]=>[6,7,8,1,4,3,5,2]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[3,2,1,8,6,5,4,7]=>[6,7,8,1,3,4,5,2]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,3,1,6,7,8,5,2]=>[5,6,8,3,2,1,4,7]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[4,2,1,6,8,7,5,3]=>[5,7,8,3,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[4,2,1,6,8,5,3,7]=>[5,7,8,3,1,4,6,2]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[5,2,6,1,8,7,4,3]=>[4,7,3,8,1,2,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,2,6,1,8,7,3,4]=>[4,7,3,8,1,2,6,5]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[5,2,6,1,8,3,4,7]=>[4,7,3,8,1,6,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[4,2,1,6,8,3,7,5]=>[5,7,8,3,1,6,2,4]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[4,3,1,6,7,8,2,5]=>[5,6,8,3,2,1,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,7,3,1,5,8,2,4]=>[3,2,6,8,4,1,7,5]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[4,2,1,7,8,6,3,5]=>[5,7,8,2,1,3,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[3,2,1,8,7,6,4,5]=>[6,7,8,1,2,3,5,4]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[3,2,1,8,6,4,7,5]=>[6,7,8,1,3,5,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[3,2,1,8,6,4,5,7]=>[6,7,8,1,3,5,4,2]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[3,2,1,8,4,6,5,7]=>[6,7,8,1,5,3,4,2]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[3,2,1,8,4,6,7,5]=>[6,7,8,1,5,3,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[3,2,1,8,4,7,6,5]=>[6,7,8,1,5,2,3,4]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[3,2,1,8,7,4,6,5]=>[6,7,8,1,2,5,3,4]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[4,2,1,7,8,3,6,5]=>[5,7,8,2,1,6,3,4]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[5,2,7,1,8,3,6,4]=>[4,7,2,8,1,6,3,5]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[6,7,2,1,8,3,5,4]=>[3,2,7,8,1,6,4,5]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[5,2,7,1,8,3,4,6]=>[4,7,2,8,1,6,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[4,2,1,7,8,3,5,6]=>[5,7,8,2,1,6,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[3,2,1,8,4,5,7,6]=>[6,7,8,1,5,4,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[7,5,2,8,6,3,4,1]=>[2,4,7,1,3,6,5,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[7,4,8,6,2,5,3,1]=>[2,5,1,3,7,4,6,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[7,3,8,6,2,4,5,1]=>[2,6,1,3,7,5,4,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[7,4,3,1,8,2,5,6]=>[2,5,6,8,1,7,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,4,2,8,5,6,1,3]=>[2,5,7,1,4,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[7,3,8,5,2,4,6,1]=>[2,6,1,4,7,5,3,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[7,3,8,4,5,6,2,1]=>[2,6,1,5,4,3,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[6,3,8,2,4,5,1,7]=>[3,6,1,7,5,4,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,3,8,2,5,7,4,1]=>[3,6,1,7,4,2,5,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,4,3,8,1,5,2,7]=>[3,5,6,1,8,4,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,3,7,8,2,4,1,5]=>[3,6,2,1,7,5,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,6,7,3,8,2,4,1]=>[4,3,2,6,1,7,5,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,4,7,2,6,8,1,3]=>[4,5,2,7,3,1,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[5,3,8,2,4,6,7,1]=>[4,6,1,7,5,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,3,8,2,4,7,5,1]=>[3,6,1,7,5,2,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,4,8,2,7,5,1,3]=>[3,5,1,7,2,4,8,6]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[6,5,3,1,4,2,7,8]=>[3,4,6,8,5,7,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,7,4,2,6,1,3,8]=>[4,2,5,7,3,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[5,6,4,2,3,8,1,7]=>[4,3,5,7,6,1,8,2]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[5,6,3,7,8,2,4,1]=>[4,3,6,2,1,7,5,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[5,6,3,8,2,4,7,1]=>[4,3,6,1,7,5,2,8]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[6,3,7,2,4,5,1,8]=>[3,6,2,7,5,4,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,3,7,2,5,8,4,1]=>[3,6,2,7,4,1,5,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[5,3,6,8,2,4,7,1]=>[4,6,3,1,7,5,2,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[5,4,6,2,3,8,1,7]=>[4,5,3,7,6,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[5,3,6,7,8,2,4,1]=>[4,6,3,2,1,7,5,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,6,3,4,2,1,8,7]=>[4,3,6,5,7,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[2,5,4,1,7,8,6,3]=>[7,4,5,8,2,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,7,8,5,4,1,6,3]=>[7,2,1,4,5,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[2,8,6,3,5,4,1,7]=>[7,1,3,6,4,5,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[5,8,6,4,2,1,3,7]=>[4,1,3,5,7,8,6,2]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[4,2,1,5,7,8,6,3]=>[5,7,8,4,2,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[4,3,8,5,7,6,2,1]=>[5,6,1,4,2,3,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[2,1,8,5,6,4,3,7]=>[7,8,1,4,3,5,6,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[8,4,2,1,5,6,3,7]=>[1,5,7,8,4,3,6,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[3,7,8,5,6,4,2,1]=>[6,2,1,4,3,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,8,5,6,4,2,1,7]=>[6,1,4,3,5,7,8,2]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[3,6,4,2,1,8,5,7]=>[6,3,5,7,8,1,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[7,6,2,4,1,8,5,3]=>[2,3,7,5,8,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[8,5,4,1,7,6,2,3]=>[1,4,5,8,2,3,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[2,1,6,4,3,7,8,5]=>[7,8,3,5,6,2,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[6,4,2,1,3,7,8,5]=>[3,5,7,8,6,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[5,7,6,2,3,8,4,1]=>[4,2,3,7,6,1,5,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[2,6,1,7,5,8,4,3]=>[7,3,8,2,4,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[8,4,2,3,7,5,6,1]=>[1,5,7,6,2,4,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[8,5,7,6,2,1,4,3]=>[1,4,2,3,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[4,8,5,7,6,2,1,3]=>[5,1,4,2,3,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[7,5,6,1,8,4,2,3]=>[2,4,3,8,1,5,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[2,8,4,3,6,1,7,5]=>[7,1,5,6,3,8,2,4]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[6,4,7,8,3,2,1,5]=>[3,5,2,1,6,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[6,9,8,5,4,3,2,1,7]=>[4,1,2,5,6,7,8,9,3]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[6,4,3,7,5,2,1,8]=>[3,5,6,2,4,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[6,5,3,2,8,4,1,7]=>[3,4,6,7,1,5,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[6,5,2,7,8,4,1,3]=>[3,4,7,2,1,5,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[7,10,9,6,5,4,3,2,1,8]=>[4,1,2,5,6,7,8,9,10,3]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[5,9,8,7,4,3,2,1,6]=>[5,1,2,3,6,7,8,9,4]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[6,4,3,2,5,8,1,7]=>[3,5,6,7,4,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,3,2,7,5,4,1,8]=>[3,6,7,2,4,5,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,4,2,6,3,1,7,5]=>[1,5,7,3,6,8,2,4]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[1,5,3,7,4,2,8,6]=>[8,4,6,2,5,7,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[1,6,7,3,4,2,8,5]=>[8,3,2,6,5,7,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[8,6,5,2,3,1,7,4]=>[1,3,4,7,6,8,2,5]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,7,6,3,4,2,8,5]=>[8,2,3,6,5,7,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[1,8,6,3,2,5,7,4]=>[8,1,3,6,7,4,2,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[8,7,5,2,1,4,6,3]=>[1,2,4,7,8,5,3,6]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,8,5,2,1,4,6,3]=>[2,1,4,7,8,5,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[6,8,5,2,3,1,7,4]=>[3,1,4,7,6,8,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[5,8,6,2,3,1,7,4]=>[4,1,3,7,6,8,2,5]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[4,8,2,6,3,1,7,5]=>[5,1,7,3,6,8,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,2,8,6,4,1,7,5]=>[6,7,1,3,5,8,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,2,1,7,5,4,8,6]=>[6,7,8,2,4,5,1,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[4,1,3,7,5,2,8,6]=>[5,8,6,2,4,7,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[5,1,7,3,4,2,8,6]=>[4,8,2,6,5,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,1,6,3,2,5,8,4]=>[2,8,3,6,7,4,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,2,7,4,3,6,8,5]=>[8,7,2,5,6,3,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[6,1,8,2,4,5,7,3]=>[3,8,1,7,5,4,2,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[5,1,8,3,2,6,7,4]=>[4,8,1,6,7,3,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[3,2,8,7,1,5,6,4]=>[6,7,1,2,8,4,3,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[4,8,2,7,1,5,6,3]=>[5,1,7,2,8,4,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[5,8,7,2,1,4,6,3]=>[4,1,2,7,8,5,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[6,8,7,1,3,4,5,2]=>[3,1,2,8,6,5,4,7]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,8,6,1,3,4,5,2]=>[2,1,3,8,6,5,4,7]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[1,7,8,2,4,5,6,3]=>[8,2,1,7,5,4,3,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[8,6,7,1,3,4,5,2]=>[1,3,2,8,6,5,4,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,6,8,1,3,4,5,2]=>[2,3,1,8,6,5,4,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,5,8,2,3,1,7,4]=>[3,4,1,7,6,8,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[1,6,8,3,2,5,7,4]=>[8,3,1,6,7,4,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[8,4,2,7,1,5,6,3]=>[1,5,7,2,8,4,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,4,2,8,1,5,6,3]=>[2,5,7,1,8,4,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,4,2,8,3,1,7,5]=>[3,5,7,1,6,8,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[5,4,2,3,8,1,7,6]=>[4,5,7,6,1,8,2,3]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[4,5,2,3,1,6,8,7]=>[5,4,7,6,8,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,4,2,1,3,6,8,5]=>[2,5,7,8,6,3,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,4,2,1,3,6,7,5]=>[1,5,7,8,6,3,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,5,3,2,4,7,8,6]=>[8,4,6,7,5,2,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[8,5,1,3,2,6,7,4]=>[1,4,8,6,7,3,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[5,6,1,3,4,2,8,7]=>[4,3,8,6,5,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,6,2,1,5,3,8,7]=>[5,3,7,8,4,6,1,2]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[4,7,2,1,3,6,8,5]=>[5,2,7,8,6,3,1,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[5,7,1,3,2,6,8,4]=>[4,2,8,6,7,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[6,7,1,2,4,5,8,3]=>[3,2,8,7,5,4,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[8,6,1,2,4,5,7,3]=>[1,3,8,7,5,4,2,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[1,8,2,3,5,6,7,4]=>[8,1,7,6,4,3,2,5]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[8,7,1,2,4,5,6,3]=>[1,2,8,7,5,4,3,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,8,1,2,4,5,6,3]=>[2,1,8,7,5,4,3,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[5,8,1,3,2,6,7,4]=>[4,1,8,6,7,3,2,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[4,8,2,1,3,6,7,5]=>[5,1,7,8,6,3,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[4,1,3,2,5,7,8,6]=>[5,8,6,7,4,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[5,1,2,4,3,7,8,6]=>[4,8,7,5,6,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[5,4,8,1,2,3,7,6]=>[4,5,1,8,7,6,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[1,4,7,6,3,2,5,8]=>[8,5,2,3,6,7,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[4,8,3,2,7,6,1,5]=>[5,1,6,7,2,3,8,4]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[1,4,7,3,6,2,5,8]=>[8,5,2,6,3,7,4,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[4,3,2,8,1,7,6,5]=>[5,6,7,1,8,2,3,4]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[3,4,7,6,2,1,8,5]=>[6,5,2,3,7,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,4,2,7,1,6,8,5]=>[6,5,7,2,8,3,1,4]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[2,3,6,7,4,1,8,5]=>[7,6,3,2,5,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,6,3,4,7,8,1,5]=>[7,3,6,5,2,1,8,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[2,6,7,8,3,4,1,5]=>[7,3,2,1,6,5,8,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,1,3,2,8,7,5,6]=>[5,8,6,7,1,2,4,3]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[3,7,8,2,6,4,1,5]=>[6,2,1,7,3,5,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,2,3,8,1,6,7,5]=>[5,7,6,1,8,3,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[1,3,6,7,4,2,5,8]=>[8,6,3,2,5,7,4,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[3,7,2,4,8,6,1,5]=>[6,2,7,5,1,3,8,4]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[3,2,7,4,8,1,6,5]=>[6,7,2,5,1,8,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[1,3,6,4,7,2,5,8]=>[8,6,3,5,2,7,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[4,7,1,5,8,2,3,6]=>[5,2,8,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[3,1,7,4,8,2,5,6]=>[6,8,2,5,1,7,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[2,6,7,3,8,4,1,5]=>[7,3,2,6,1,5,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,4,6,7,8,5,1,2]=>[6,5,3,2,1,4,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[1,2,6,4,7,5,8,3]=>[8,7,3,5,2,4,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[3,1,7,5,4,2,6,8]=>[6,8,2,4,5,7,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[6,3,8,5,4,7,1,2]=>[3,6,1,4,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[1,6,2,5,4,7,8,3]=>[8,3,7,4,5,2,1,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[1,8,2,5,6,3,7,4]=>[8,1,7,4,3,6,2,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[1,2,6,4,8,5,7,3]=>[8,7,3,5,1,4,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[7,8,3,1,4,2,5,6]=>[2,1,6,8,5,7,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[4,8,1,5,2,3,6,7]=>[5,1,8,4,7,6,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[7,4,1,5,2,3,6,8]=>[2,5,8,4,7,6,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[5,6,1,8,4,3,2,7]=>[4,3,8,1,5,6,7,2]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[5,1,8,6,4,3,2,7]=>[4,8,1,3,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[5,1,6,3,8,7,2,4]=>[4,8,3,6,1,2,7,5]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[6,1,2,5,8,3,7,4]=>[3,8,7,4,1,6,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[6,1,8,7,4,3,2,5]=>[3,8,1,2,5,6,7,4]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[7,1,2,5,4,8,6,3]=>[2,8,7,4,5,1,3,6]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[1,2,7,5,8,3,6,4]=>[8,7,2,4,1,6,3,5]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[4,1,6,3,7,5,2,8]=>[5,8,3,6,2,4,7,1]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[1,3,6,7,8,5,2,4]=>[8,6,3,2,1,4,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[1,2,6,4,7,8,5,3]=>[8,7,3,5,2,1,4,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[4,1,6,3,7,8,2,5]=>[5,8,3,6,2,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[3,1,6,4,8,2,7,5]=>[6,8,3,5,1,7,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[7,8,4,1,6,3,2,5]=>[2,1,5,8,3,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[4,1,6,3,8,7,2,5]=>[5,8,3,6,1,2,7,4]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[7,5,1,8,4,3,2,6]=>[2,4,8,1,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[6,5,1,7,4,3,2,8]=>[3,4,8,2,5,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,1,8,5,2,3,7,6]=>[5,8,1,4,7,6,2,3]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[4,1,6,8,3,7,2,5]=>[5,8,3,1,6,2,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[5,4,6,1,3,8,2,7]=>[4,5,3,8,6,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[6,5,8,1,4,3,2,7]=>[3,4,1,8,5,6,7,2]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[1,3,5,7,6,8,2,4]=>[8,6,4,2,3,1,7,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[1,3,5,7,6,2,8,4]=>[8,6,4,2,3,7,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[1,3,5,7,6,2,4,8]=>[8,6,4,2,3,7,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[1,3,5,7,4,6,2,8]=>[8,6,4,2,5,3,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,3,5,4,7,2,8,6]=>[8,6,4,5,2,7,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[1,3,5,7,8,4,6,2]=>[8,6,4,2,1,5,3,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[1,3,5,2,7,8,6,4]=>[8,6,4,7,2,1,3,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[1,3,7,2,5,4,8,6]=>[8,6,2,7,4,5,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[1,3,7,5,2,4,8,6]=>[8,6,2,4,7,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[2,5,3,7,4,8,1,6]=>[7,4,6,2,5,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,4,7,2,3,8,6,5]=>[8,5,2,7,6,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,4,7,3,1,8,6,5]=>[7,5,2,6,8,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,4,6,3,8,2,7,5]=>[8,5,3,6,1,7,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[1,4,7,3,8,2,6,5]=>[8,5,2,6,1,7,3,4]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[2,5,1,7,8,4,6,3]=>[7,4,8,2,1,5,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[3,2,6,7,8,1,5,4]=>[6,7,3,2,1,8,4,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[1,5,7,4,8,3,2,6]=>[8,4,2,5,1,6,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[2,5,1,6,8,4,7,3]=>[7,4,8,3,1,5,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[4,6,2,1,7,8,3,5]=>[5,3,7,8,2,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[3,5,2,6,8,4,7,1]=>[6,4,7,3,1,5,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[1,3,6,2,8,7,5,4]=>[8,6,3,7,1,2,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,5,7,4,3,8,6,1]=>[7,4,2,5,6,1,3,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,5,7,2,4,8,6,3]=>[8,4,2,7,5,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,6,3,7,2,8,5,1]=>[5,3,6,2,7,1,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,4,7,3,8,6,2,5]=>[8,5,2,6,1,3,7,4]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[5,1,6,8,2,4,3,7]=>[4,8,3,1,7,5,6,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[5,3,7,8,2,4,1,6]=>[4,6,2,1,7,5,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[8,5,3,7,2,4,1,6]=>[1,4,6,2,7,5,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,2,4,7,3,1,5,6]=>[1,7,5,2,6,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[2,4,7,8,3,1,5,6]=>[7,5,2,1,6,8,4,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[6,3,1,5,8,2,4,7]=>[3,6,8,4,1,7,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[6,5,3,4,2,8,1,7]=>[3,4,6,5,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[5,2,4,3,8,1,6,7]=>[4,7,5,6,1,8,3,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[3,2,4,8,1,5,6,7]=>[6,7,5,1,8,4,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,2,4,6,8,1,5,7]=>[6,7,5,3,1,8,4,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[8,1,5,7,3,2,4,6]=>[1,8,4,2,6,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,4,6,7,2,3,1,5]=>[1,5,3,2,7,6,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[4,6,7,8,2,3,1,5]=>[5,3,2,1,7,6,8,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[7,4,6,8,2,3,1,5]=>[2,5,3,1,7,6,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[7,2,4,8,3,1,5,6]=>[2,7,5,1,6,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[5,3,8,7,2,4,1,6]=>[4,6,1,2,7,5,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[2,4,8,7,3,1,5,6]=>[7,5,1,2,6,8,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[4,6,8,7,2,3,1,5]=>[5,3,1,2,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[8,7,4,6,2,3,1,5]=>[1,2,5,3,7,6,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[5,6,8,7,2,3,1,4]=>[4,3,1,2,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[6,4,8,7,2,3,1,5]=>[3,5,1,2,7,6,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,1,7,4,2,8,6,5]=>[6,8,2,5,7,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[3,2,8,4,1,7,6,5]=>[6,7,1,5,8,2,3,4]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,6,4,8,2,3,1,5]=>[2,3,5,1,7,6,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[5,7,6,8,2,3,1,4]=>[4,2,3,1,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,7,6,8,2,3,1,5]=>[5,2,3,1,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[8,6,4,7,2,3,1,5]=>[1,3,5,2,7,6,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,2,3,7,4,1,6,5]=>[1,7,6,2,5,8,3,4]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,3,7,8,4,1,6,5]=>[7,6,2,1,5,8,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[3,7,4,8,2,5,1,6]=>[6,2,5,1,7,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,3,7,4,1,6,8,5]=>[7,6,2,5,8,3,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[8,1,6,4,2,3,7,5]=>[1,8,3,5,7,6,2,4]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[4,7,8,6,2,3,1,5]=>[5,2,1,3,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[2,4,7,3,1,5,8,6]=>[7,5,2,6,8,4,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[6,3,1,7,4,2,8,5]=>[3,6,8,2,5,7,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[8,5,7,6,2,3,1,4]=>[1,4,2,3,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[7,5,8,6,2,3,1,4]=>[2,4,1,3,7,6,8,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[7,1,6,4,2,3,8,5]=>[2,8,3,5,7,6,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[3,1,7,6,4,2,8,5]=>[6,8,2,3,5,7,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[4,8,7,6,2,3,1,5]=>[5,1,2,3,7,6,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[6,8,7,5,2,3,1,4]=>[3,1,2,4,7,6,8,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[4,3,6,1,5,8,7,2]=>[5,6,3,8,4,1,2,7]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[4,1,6,5,3,8,7,2]=>[5,8,3,4,6,1,2,7]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[2,6,5,3,1,8,7,4]=>[7,3,4,6,8,1,2,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,6,5,8,1,3,7,4]=>[7,3,4,1,8,6,2,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[2,6,5,8,3,1,7,4]=>[7,3,4,1,6,8,2,5]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,6,1,5,8,3,7,2]=>[5,3,8,4,1,6,2,7]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[4,1,6,5,8,3,7,2]=>[5,8,3,4,1,6,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[1,4,6,5,8,3,7,2]=>[8,5,3,4,1,6,2,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[4,1,6,5,8,7,3,2]=>[5,8,3,4,1,2,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[2,6,5,3,8,7,1,4]=>[7,3,4,6,1,2,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[6,4,3,8,7,1,5,2]=>[3,5,6,1,2,8,4,7]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[2,6,8,5,3,7,1,4]=>[7,3,1,4,6,2,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[4,6,8,1,5,7,3,2]=>[5,3,1,8,4,2,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[4,6,1,8,5,7,3,2]=>[5,3,8,1,4,2,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,1,6,8,5,7,3,2]=>[5,8,3,1,4,2,6,7]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[4,6,1,8,5,3,7,2]=>[5,3,8,1,4,6,2,7]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[2,6,8,5,3,1,7,4]=>[7,3,1,4,6,8,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[4,6,8,3,5,1,7,2]=>[5,3,1,6,4,8,2,7]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[4,6,3,1,8,5,7,2]=>[5,3,6,8,1,4,2,7]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[4,6,3,8,5,7,1,2]=>[5,3,6,1,4,2,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[4,3,6,1,8,5,7,2]=>[5,6,3,8,1,4,2,7]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[4,1,3,6,8,7,5,2]=>[5,8,6,3,1,2,4,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[4,6,3,8,1,7,5,2]=>[5,3,6,1,8,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,1,6,3,8,7,5,2]=>[5,8,3,6,1,2,4,7]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[1,4,6,3,8,7,5,2]=>[8,5,3,6,1,2,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,6,1,8,3,7,5,2]=>[5,3,8,1,6,2,4,7]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,6,8,1,3,7,5,2]=>[5,3,1,8,6,2,4,7]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,2,8,5,7,3,1,4]=>[3,7,1,4,2,6,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[6,2,8,5,7,1,3,4]=>[3,7,1,4,2,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[2,4,8,7,1,5,3,6]=>[7,5,1,2,8,4,6,3]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[6,1,4,8,7,5,3,2]=>[3,8,5,1,2,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[1,6,4,8,7,3,5,2]=>[8,3,5,1,2,6,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,4,1,8,7,3,5,2]=>[3,5,8,1,2,6,4,7]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[2,3,4,5,6,8,9,7,1]=>[8,7,6,5,4,2,1,3,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[2,3,4,7,1,8,6,5]=>[7,6,5,2,8,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[2,3,4,5,7,8,9,6,1]=>[8,7,6,5,3,2,1,4,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[2,3,5,6,7,8,9,4,1]=>[8,7,5,4,3,2,1,6,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[2,4,5,6,7,8,9,3,1]=>[8,6,5,4,3,2,1,7,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[2,3,4,5,6,7,9,10,8,1]=>[9,8,7,6,5,4,2,1,3,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[2,3,4,7,8,5,6,1]=>[7,6,5,2,1,4,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[2,3,4,5,6,8,9,10,7,1]=>[9,8,7,6,5,3,2,1,4,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[2,5,6,3,7,8,1,4]=>[7,4,3,6,2,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[2,3,7,1,4,8,6,5]=>[7,6,2,8,5,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,3,4,6,7,8,9,10,5,1]=>[9,8,7,5,4,3,2,1,6,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[2,6,1,3,7,8,5,4]=>[7,3,8,6,2,1,4,5]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[1,5,3,2,6,7,4,8]=>[8,4,6,7,3,2,5,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[6,4,2,5,3,7,1,8]=>[3,5,7,4,6,2,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[1,6,2,8,5,3,4,7]=>[8,3,7,1,4,6,5,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[4,6,2,3,7,5,1,8]=>[5,3,7,6,2,4,8,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[5,3,2,7,4,6,1,8]=>[4,6,7,2,5,3,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[3,5,2,1,6,8,4,7]=>[6,4,7,8,3,1,5,2]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[1,5,2,6,8,4,3,7]=>[8,4,7,3,1,5,6,2]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[1,5,7,2,8,4,3,6]=>[8,4,2,7,1,5,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[1,7,2,3,4,8,6,5]=>[8,2,7,6,5,1,3,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[6,8,2,3,4,1,7,5]=>[3,1,7,6,5,8,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[4,1,8,2,3,5,7,6]=>[5,8,1,7,6,4,2,3]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,3,1,8,4,5,7,6]=>[7,6,8,1,5,4,2,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[7,8,1,4,3,5,2,6]=>[2,1,8,5,6,4,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,1,2,3,4,8,7,5]=>[3,8,7,6,5,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,8,2,3,4,7,6,5]=>[8,1,7,6,5,2,3,4]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[8,1,2,3,4,6,7,5]=>[1,8,7,6,5,3,2,4]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[2,8,1,3,5,4,7,6]=>[7,1,8,6,4,5,2,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[8,7,1,4,3,5,2,6]=>[1,2,8,5,6,4,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[7,4,1,8,3,5,2,6]=>[2,5,8,1,6,4,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,4,1,7,3,5,2,6]=>[1,5,8,2,6,4,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,4,2,5,3,1,6,7]=>[1,5,7,4,6,8,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,5,2,4,3,1,6,7]=>[1,4,7,5,6,8,3,2]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[4,3,2,5,1,8,6,7]=>[5,6,7,4,8,1,3,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,8,7,3,5,4,2,6]=>[8,1,2,6,4,5,7,3]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[5,1,8,2,7,4,3,6]=>[4,8,1,7,2,5,6,3]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[5,1,7,2,8,4,3,6]=>[4,8,2,7,1,5,6,3]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[6,1,2,8,5,3,4,7]=>[3,8,7,1,4,6,5,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[6,3,2,1,8,4,5,7]=>[3,6,7,8,1,5,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,3,2,8,4,5,1,6]=>[2,6,7,1,5,4,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[7,8,2,3,4,6,1,5]=>[2,1,7,6,5,3,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,7,1,3,4,8,2,5]=>[3,2,8,6,5,1,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[6,8,1,3,4,7,2,5]=>[3,1,8,6,5,2,7,4]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[7,6,2,3,4,1,8,5]=>[2,3,7,6,5,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,6,2,3,4,1,7,5]=>[1,3,7,6,5,8,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[6,7,2,3,4,1,8,5]=>[3,2,7,6,5,8,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[7,6,2,3,4,8,1,5]=>[2,3,7,6,5,1,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[6,3,4,8,7,5,1,2]=>[3,6,5,1,2,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,8,7,3,5,6,1,2]=>[5,1,2,6,4,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[4,8,7,5,3,6,1,2]=>[5,1,2,4,6,3,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[5,8,7,3,4,6,1,2]=>[4,1,2,6,5,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,8,4,2,1,6,7,3]=>[4,1,5,7,8,3,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[5,8,4,1,2,6,7,3]=>[4,1,5,8,7,3,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[5,3,7,2,6,1,8,4]=>[4,6,2,7,3,8,1,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,2,8,1,6,3,7,4]=>[4,7,1,8,3,6,2,5]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[5,8,2,1,4,7,6,3]=>[4,1,7,8,5,2,3,6]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[4,8,2,5,1,7,6,3]=>[5,1,7,4,8,2,3,6]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[7,8,4,1,2,6,5,3]=>[2,1,5,8,7,3,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[4,8,1,5,2,7,6,3]=>[5,1,8,4,7,2,3,6]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[5,8,1,2,4,7,6,3]=>[4,1,8,7,5,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,2,8,3,6,7,1,4]=>[4,7,1,6,3,2,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[3,8,7,6,2,4,1,5]=>[6,1,2,3,7,5,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,8,7,6,4,1,3,5]=>[7,1,2,3,5,8,6,4]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,8,2,6,5,1,3,4]=>[2,1,7,3,4,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[1,8,7,6,4,2,3,5]=>[8,1,2,3,5,7,6,4]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[2,8,7,6,3,1,4,5]=>[7,1,2,3,6,8,5,4]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[1,8,7,6,2,4,3,5]=>[8,1,2,3,7,5,6,4]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[1,8,7,6,3,4,2,5]=>[8,1,2,3,6,5,7,4]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[2,8,1,4,5,6,7,3]=>[7,1,8,5,4,3,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[2,1,7,3,6,5,8,4]=>[7,8,2,6,3,4,1,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[3,1,7,2,6,5,8,4]=>[6,8,2,7,3,4,1,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[3,2,7,1,6,5,8,4]=>[6,7,2,8,3,4,1,5]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,1,2,8,5,7,3,4]=>[3,8,7,1,4,2,6,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[6,2,1,8,5,7,3,4]=>[3,7,8,1,4,2,6,5]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[6,3,1,8,5,7,2,4]=>[3,6,8,1,4,2,7,5]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[6,4,2,1,7,5,8,3]=>[3,5,7,8,2,4,1,6]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[6,1,3,8,5,2,7,4]=>[3,8,6,1,4,7,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[2,3,7,1,6,8,5,4]=>[7,6,2,8,3,1,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,3,7,2,6,8,5,4]=>[8,6,2,7,3,1,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,8,2,6,5,3,1,4]=>[2,1,7,3,4,6,8,5]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[3,2,6,7,5,8,1,4]=>[6,7,3,2,4,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[1,2,7,5,6,3,8,4]=>[8,7,2,4,3,6,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[2,8,7,6,4,3,1,5]=>[7,1,2,3,5,6,8,4]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[3,8,7,6,1,2,5,4]=>[6,1,2,3,8,7,4,5]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[3,8,7,6,2,1,5,4]=>[6,1,2,3,7,8,4,5]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[4,8,7,6,2,1,3,5]=>[5,1,2,3,7,8,6,4]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[4,8,7,6,1,3,2,5]=>[5,1,2,3,8,6,7,4]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[3,8,7,6,4,1,2,5]=>[6,1,2,3,5,8,7,4]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,8,3,6,5,1,2,4]=>[2,1,6,3,4,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[2,3,7,5,6,8,1,4]=>[7,6,2,4,3,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[3,8,7,6,4,2,1,5]=>[6,1,2,3,5,7,8,4]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[5,1,4,6,8,2,3,7]=>[4,8,5,3,1,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,3,7,2,6,5,1,8]=>[5,6,2,7,3,4,8,1]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[3,4,6,1,5,7,2,8]=>[6,5,3,8,4,2,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[1,6,8,5,7,3,4,2]=>[8,3,1,4,2,6,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[2,4,1,5,8,6,3,7]=>[7,5,8,4,1,3,6,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[4,6,1,2,5,8,3,7]=>[5,3,8,7,4,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[7,8,6,5,1,2,4,3]=>[2,1,3,4,8,7,5,6]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[7,3,2,5,1,4,8,6]=>[2,6,7,4,8,5,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[1,5,8,3,4,6,7,2]=>[8,4,1,6,5,3,2,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[8,3,1,2,4,7,6,5]=>[1,6,8,7,5,2,3,4]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[8,1,4,7,2,5,3,6]=>[1,8,5,2,7,4,6,3]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[3,5,2,4,1,7,8,6]=>[6,4,7,5,8,2,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[3,4,7,8,6,2,1,5]=>[6,5,2,1,3,7,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[3,4,8,6,2,7,1,5]=>[6,5,1,3,7,2,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,1,2,7,5,3,8,4]=>[3,8,7,2,4,6,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[7,3,2,8,6,4,1,5]=>[2,6,7,1,3,5,8,4]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,1,6,3,5,7,2,4]=>[1,8,3,6,4,2,7,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[2,8,6,4,3,7,1,5]=>[7,1,3,5,6,2,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,3,8,7,6,5,1,4]=>[7,6,1,2,3,4,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[1,2,8,7,3,6,5,4]=>[8,7,1,2,6,3,4,5]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[4,2,8,7,3,6,1,5]=>[5,7,1,2,6,3,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[4,5,8,7,1,2,6,3]=>[5,4,1,2,8,7,3,6]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[1,5,8,7,3,2,6,4]=>[8,4,1,2,6,7,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[4,5,8,7,3,2,1,6]=>[5,4,1,2,6,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[2,6,8,1,7,5,4,3]=>[7,3,1,8,2,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,6,8,4,7,2,1,5]=>[6,3,1,5,2,7,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,5,8,3,7,6,1,4]=>[7,4,1,6,2,3,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,2,8,4,7,6,1,5]=>[6,7,1,5,2,3,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[1,5,8,3,7,2,6,4]=>[8,4,1,6,2,7,3,5]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,5,8,4,7,2,1,6]=>[6,4,1,5,2,7,8,3]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,6,8,2,3,7,1,4]=>[4,3,1,7,6,2,8,5]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[1,6,8,4,2,7,5,3]=>[8,3,1,5,7,2,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[1,5,8,2,3,7,6,4]=>[8,4,1,7,6,2,3,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[2,1,8,4,3,7,6,5]=>[7,8,1,5,6,2,3,4]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[2,5,8,4,3,7,1,6]=>[7,4,1,5,6,2,8,3]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[5,6,8,1,3,2,7,4]=>[4,3,1,8,6,7,2,5]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[1,6,8,4,3,2,7,5]=>[8,3,1,5,6,7,2,4]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[5,6,8,4,3,2,1,7]=>[4,3,1,5,6,7,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[7,1,2,8,6,5,4,3]=>[2,8,7,1,3,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[7,1,4,8,6,2,5,3]=>[2,8,5,1,3,7,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[7,3,1,8,6,2,5,4]=>[2,6,8,1,3,7,4,5]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[7,2,4,8,3,6,1,5]=>[2,7,5,1,6,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[7,1,4,8,3,2,6,5]=>[2,8,5,1,6,7,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[7,4,5,8,3,2,1,6]=>[2,5,4,1,6,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[1,6,2,8,7,5,4,3]=>[8,3,7,1,2,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,6,4,8,7,2,5,3]=>[8,3,5,1,2,7,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[3,6,4,8,7,2,1,5]=>[6,3,5,1,2,7,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[3,2,5,8,7,6,1,4]=>[6,7,4,1,2,3,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,2,4,8,7,6,1,5]=>[6,7,5,1,2,3,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,1,5,8,7,2,6,4]=>[6,8,4,1,2,7,3,5]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[3,1,4,8,7,2,6,5]=>[6,8,5,1,2,7,3,4]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[1,6,4,8,2,7,5,3]=>[8,3,5,1,7,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,4,5,8,2,7,6,3]=>[8,5,4,1,7,2,3,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,4,5,8,3,7,1,6]=>[7,5,4,1,6,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[4,6,5,8,1,2,7,3]=>[5,3,4,1,8,7,2,6]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[1,6,4,8,3,2,7,5]=>[8,3,5,1,6,7,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[1,4,5,8,3,2,7,6]=>[8,5,4,1,6,7,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[7,6,1,4,8,2,5,3]=>[2,3,8,5,1,7,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,6,1,3,8,2,5,4]=>[2,3,8,6,1,7,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[7,2,5,1,8,6,4,3]=>[2,7,4,8,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[7,2,5,3,8,6,1,4]=>[2,7,4,6,1,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[7,2,1,4,8,6,5,3]=>[2,7,8,5,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[7,2,1,3,8,6,5,4]=>[2,7,8,6,1,3,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[7,3,5,4,8,2,1,6]=>[2,6,4,5,1,7,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[2,6,5,1,8,7,4,3]=>[7,3,4,8,1,2,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,3,5,4,8,7,1,6]=>[7,6,4,5,1,2,8,3]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[1,6,5,4,8,2,7,3]=>[8,3,4,5,1,7,2,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[1,6,5,3,8,2,7,4]=>[8,3,4,6,1,7,2,5]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[1,3,5,4,8,2,7,6]=>[8,6,4,5,1,7,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,6,5,4,8,2,1,7]=>[6,3,4,5,1,7,8,2]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[7,6,5,2,3,8,1,4]=>[2,3,4,7,6,1,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,6,1,4,2,8,5,3]=>[2,3,8,5,7,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[7,6,1,2,3,8,5,4]=>[2,3,8,7,6,1,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,6,2,4,3,8,1,5]=>[2,3,7,5,6,1,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[7,1,5,4,2,8,6,3]=>[2,8,4,5,7,1,3,6]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,1,2,4,3,8,6,5]=>[2,8,7,5,6,1,3,4]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[2,6,5,4,3,8,1,7]=>[7,3,4,5,6,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[7,6,1,4,3,2,8,5]=>[2,3,8,5,6,7,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[7,1,5,4,3,2,8,6]=>[2,8,4,5,6,7,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[3,1,4,2,6,8,7,5]=>[6,8,5,7,3,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[8,3,4,2,6,1,7,5]=>[1,6,5,7,3,8,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[4,7,1,2,8,5,3,6]=>[5,2,8,7,1,4,6,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[2,1,6,3,7,5,4,8]=>[7,8,3,6,2,4,5,1]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[2,7,1,3,6,8,4,5]=>[7,2,8,6,3,1,5,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[6,7,3,2,8,1,4,5]=>[3,2,6,7,1,8,5,4]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[7,3,4,2,6,1,8,5]=>[2,6,5,7,3,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,7,4,2,1,5,3,6]=>[1,2,5,7,8,4,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,4,3,1,5,6,8,2]=>[2,5,6,8,4,3,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[4,7,5,1,6,8,3,2]=>[5,2,4,8,3,1,6,7]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[4,5,3,1,7,6,8,2]=>[5,4,6,8,2,3,1,7]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[4,6,1,2,7,5,3,8]=>[5,3,8,7,2,4,6,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[2,7,1,3,6,5,4,8]=>[7,2,8,6,3,4,5,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,1,8,2,6,5,3,7]=>[5,8,1,7,3,4,6,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,5,3,1,8,6,7,2]=>[5,4,6,8,1,3,2,7]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[6,4,8,2,1,5,3,7]=>[3,5,1,7,8,4,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[6,8,3,2,5,1,4,7]=>[3,1,6,7,4,8,5,2]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[6,7,5,4,1,8,3,2]=>[3,2,4,5,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[7,6,4,2,1,5,3,8]=>[2,3,5,7,8,4,6,1]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,2,7,6,5,4,1,3]=>[1,7,2,3,4,5,8,6]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[7,2,8,6,5,4,3,1]=>[2,7,1,3,4,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[8,1,9,7,6,5,4,3,2]=>[2,9,1,3,4,5,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[2,10,9,8,7,6,5,4,1,3]=>[9,1,2,3,4,5,6,7,10,8]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[3,9,8,7,6,5,4,1,2]=>[7,1,2,3,4,5,6,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[8,7,2,6,5,4,1,3]=>[1,2,7,3,4,5,8,6]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[3,2,8,7,6,5,1,4]=>[6,7,1,2,3,4,8,5]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[4,8,7,6,5,3,1,2]=>[5,1,2,3,4,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[7,8,6,1,5,4,3,2]=>[2,1,3,8,4,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[7,3,8,6,5,4,2,1]=>[2,6,1,3,4,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[8,2,9,7,6,5,4,3,1]=>[2,8,1,3,4,5,6,7,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[9,1,10,8,7,6,5,4,3,2]=>[2,10,1,3,4,5,6,7,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[4,8,5,7,6,3,2,1]=>[5,1,4,2,3,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[3,8,7,4,6,5,2,1]=>[6,1,2,5,3,4,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[2,8,7,6,3,5,4,1]=>[7,1,2,3,6,4,5,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[8,5,6,1,3,2,4,7]=>[1,4,3,8,6,7,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,8,1,5,3,2,4,6]=>[2,1,8,4,6,7,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,1,7,5,3,2,4,6]=>[1,8,2,4,6,7,5,3]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[8,6,1,4,5,2,3,7]=>[1,3,8,5,4,7,6,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,6,3,1,5,2,4,7]=>[1,3,6,8,4,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,4,6,1,5,2,3,7]=>[1,5,3,8,4,7,6,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,6,2,1,5,4,3,7]=>[1,3,7,8,4,5,6,2]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[7,8,2,1,5,4,3,6]=>[2,1,7,8,4,5,6,3]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[8,2,7,5,1,3,4,6]=>[1,7,2,4,8,6,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,4,1,7,5,2,3,6]=>[1,5,8,2,4,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,2,7,1,5,4,3,6]=>[1,7,2,8,4,5,6,3]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,1,7,4,3,2,6,5]=>[1,8,2,5,6,7,3,4]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[8,1,5,7,3,2,6,4]=>[1,8,4,2,6,7,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[5,7,8,1,3,2,6,4]=>[4,2,1,8,6,7,3,5]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[5,8,1,6,7,2,3,4]=>[4,1,8,3,2,7,6,5]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[6,5,7,1,8,2,3,4]=>[3,4,2,8,1,7,6,5]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[7,5,4,1,8,2,3,6]=>[2,4,5,8,1,7,6,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,5,8,1,3,2,4,6]=>[2,4,1,8,6,7,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,8,4,1,3,2,5,6]=>[2,1,5,8,6,7,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,5,1,7,3,2,4,6]=>[1,4,8,2,6,7,5,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,8,1,7,3,2,4,5]=>[3,1,8,2,6,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,1,8,4,3,6,2,5]=>[2,8,1,5,6,3,7,4]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[7,3,1,8,6,4,2,5]=>[2,6,8,1,3,5,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,3,1,7,4,6,2,5]=>[1,6,8,2,5,3,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[8,4,5,1,7,2,3,6]=>[1,5,4,8,2,7,6,3]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[6,5,8,1,2,7,3,4]=>[3,4,1,8,7,2,6,5]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[7,3,1,8,5,6,2,4]=>[2,6,8,1,4,3,7,5]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[6,2,7,8,3,1,5,4]=>[3,7,2,1,6,8,4,5]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[8,3,4,7,1,2,6,5]=>[1,6,5,2,8,7,3,4]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[8,2,7,4,1,3,6,5]=>[1,7,2,5,8,6,3,4]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[7,4,3,8,1,2,6,5]=>[2,5,6,1,8,7,3,4]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[8,2,3,6,7,1,5,4]=>[1,7,6,3,2,8,4,5]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[2,6,8,7,1,5,4,3]=>[7,3,1,2,8,4,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[7,8,5,2,3,6,4,1]=>[2,1,4,7,6,3,5,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,8,5,2,3,4,7,1]=>[3,1,4,7,6,5,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[5,2,4,6,8,1,3,7]=>[4,7,5,3,1,8,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,3,5,7,2,8,1,6]=>[5,6,4,2,7,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,3,5,7,2,6,8,1]=>[5,6,4,2,7,3,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[4,6,3,7,2,5,8,1]=>[5,3,6,2,7,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[4,3,5,1,7,8,2,6]=>[5,6,4,8,2,1,7,3]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[5,7,1,3,4,8,2,6]=>[4,2,8,6,5,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[4,6,3,5,1,7,8,2]=>[5,3,6,4,8,2,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[4,6,3,5,7,2,8,1]=>[5,3,6,4,2,7,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[3,5,6,4,1,7,8,2]=>[6,4,3,5,8,2,1,7]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[6,4,7,1,3,5,8,2]=>[3,5,2,8,6,4,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[1,6,7,3,4,5,8,2]=>[8,3,2,6,5,4,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[2,6,7,4,5,8,1,3]=>[7,3,2,5,4,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[2,6,7,4,8,1,3,5]=>[7,3,2,5,1,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[5,3,6,1,2,7,8,4]=>[4,6,3,8,7,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[3,5,2,6,1,7,8,4]=>[6,4,7,3,8,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[3,5,2,6,7,4,8,1]=>[6,4,7,3,2,5,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[5,2,3,6,1,7,8,4]=>[4,7,6,3,8,2,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[5,2,6,1,3,7,8,4]=>[4,7,3,8,6,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[4,2,6,7,3,5,8,1]=>[5,7,3,2,6,4,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[6,3,7,2,4,5,8,1]=>[3,6,2,7,5,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,2,4,6,8,1,3,5]=>[2,7,5,3,1,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[3,7,2,4,6,8,1,5]=>[6,2,7,5,3,1,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[3,5,7,2,6,8,1,4]=>[6,4,2,7,3,1,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[6,3,7,2,5,8,1,4]=>[3,6,2,7,4,1,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[6,2,4,5,1,7,8,3]=>[3,7,5,4,8,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[2,6,7,5,8,1,3,4]=>[7,3,2,4,1,8,6,5]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[1,5,4,6,2,7,8,3]=>[8,4,5,3,7,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[5,6,4,7,1,3,8,2]=>[4,3,5,2,8,6,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[8,4,5,2,6,1,3,7]=>[1,5,4,7,3,8,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,5,4,2,1,6,3,7]=>[1,4,5,7,8,3,6,2]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,5,3,4,1,6,2,7]=>[1,4,6,5,8,3,7,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,5,4,2,1,8,3,6]=>[2,4,5,7,8,1,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,4,3,5,6,1,8,2]=>[2,5,6,4,3,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,6,7,3,1,4,8,2]=>[4,3,2,6,8,5,1,7]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[6,7,3,4,1,5,8,2]=>[3,2,6,5,8,4,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[6,7,4,2,1,5,8,3]=>[3,2,5,7,8,4,1,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[5,6,7,3,1,8,2,4]=>[4,3,2,6,8,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[5,6,3,7,8,1,2,4]=>[4,3,6,2,1,8,7,5]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[5,6,3,7,2,4,8,1]=>[4,3,6,2,7,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,4,5,2,8,1,3,6]=>[2,5,4,7,1,8,6,3]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[7,6,3,4,1,2,8,5]=>[2,3,6,5,8,7,1,4]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[6,7,3,2,5,1,8,4]=>[3,2,6,7,4,8,1,5]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[6,4,5,2,7,3,8,1]=>[3,5,4,7,2,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,4,5,2,7,8,1,3]=>[3,5,4,7,2,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[7,4,5,2,6,1,8,3]=>[2,5,4,7,3,8,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,5,6,2,1,3,8,4]=>[2,4,3,7,8,6,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[6,7,3,5,1,2,8,4]=>[3,2,6,4,8,7,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[5,6,7,2,4,1,8,3]=>[4,3,2,7,5,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[6,5,7,2,1,8,3,4]=>[3,4,2,7,8,1,6,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[5,7,8,3,6,4,1,2]=>[4,2,1,6,3,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,7,8,5,6,4,1,2]=>[6,2,1,4,3,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,7,8,5,6,1,4,2]=>[6,2,1,4,3,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,7,8,5,6,3,4,2]=>[8,2,1,4,3,6,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,7,5,8,6,1,4,2]=>[6,2,4,1,3,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[3,7,5,8,6,4,1,2]=>[6,2,4,1,3,5,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[7,3,8,5,6,4,1,2]=>[2,6,1,4,3,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[7,3,5,8,6,4,1,2]=>[2,6,4,1,3,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,5,7,8,6,4,1,2]=>[6,4,2,1,3,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,5,7,8,6,3,4,2]=>[8,4,2,1,3,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[1,5,7,8,3,6,4,2]=>[8,4,2,1,6,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[3,5,7,8,1,6,4,2]=>[6,4,2,1,8,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[7,3,5,8,6,1,4,2]=>[2,6,4,1,3,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[7,3,8,5,6,1,4,2]=>[2,6,1,4,3,8,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,8,1,5,6,3,4,2]=>[2,1,8,4,3,6,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,1,8,5,6,3,4,2]=>[2,8,1,4,3,6,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,1,5,8,6,3,4,2]=>[2,8,4,1,3,6,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[3,1,7,8,5,6,4,2]=>[6,8,2,1,4,3,5,7]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[1,3,7,8,5,6,4,2]=>[8,6,2,1,4,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[7,1,5,3,8,6,4,2]=>[2,8,4,6,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[7,1,5,8,3,6,4,2]=>[2,8,4,1,6,3,5,7]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[7,3,5,8,1,6,4,2]=>[2,6,4,1,8,3,5,7]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[5,3,7,1,8,6,4,2]=>[4,6,2,8,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,5,7,1,8,6,4,2]=>[6,4,2,8,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,7,3,1,8,6,4,2]=>[4,2,6,8,1,3,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[3,7,5,8,1,6,4,2]=>[6,2,4,1,8,3,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,7,8,3,6,1,4,2]=>[4,2,1,6,3,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,7,8,6,3,1,4,2]=>[4,2,1,3,6,8,5,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[7,5,8,6,1,3,4,2]=>[2,4,1,3,8,6,5,7]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[5,7,8,1,6,3,4,2]=>[4,2,1,8,3,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[5,7,8,1,3,6,4,2]=>[4,2,1,8,6,3,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[1,7,8,3,5,6,4,2]=>[8,2,1,6,4,3,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,7,3,8,5,6,4,2]=>[8,2,6,1,4,3,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[5,7,1,8,6,3,4,2]=>[4,2,8,1,3,6,5,7]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[7,5,1,8,6,3,4,2]=>[2,4,8,1,3,6,5,7]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[7,5,8,1,6,3,4,2]=>[2,4,1,8,3,6,5,7]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[7,8,5,1,6,3,4,2]=>[2,1,4,8,3,6,5,7]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[7,8,5,1,3,6,4,2]=>[2,1,4,8,6,3,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[7,5,8,1,3,6,4,2]=>[2,4,1,8,6,3,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[7,5,1,8,3,6,4,2]=>[2,4,8,1,6,3,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[7,5,1,3,8,6,4,2]=>[2,4,8,6,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,7,1,3,8,6,4,2]=>[4,2,8,6,1,3,5,7]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[1,5,3,7,8,6,4,2]=>[8,4,6,2,1,3,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[5,3,1,7,8,6,4,2]=>[4,6,8,2,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[7,3,1,5,8,6,4,2]=>[2,6,8,4,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[7,3,1,8,5,6,4,2]=>[2,6,8,1,4,3,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[7,3,8,1,5,6,4,2]=>[2,6,1,8,4,3,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[7,8,3,1,5,6,4,2]=>[2,1,6,8,4,3,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[7,8,1,3,5,6,4,2]=>[2,1,8,6,4,3,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[7,1,3,8,5,6,4,2]=>[2,8,6,1,4,3,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[7,1,3,5,8,6,4,2]=>[2,8,6,4,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,1,5,7,8,6,4,2]=>[6,8,4,2,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,7,3,4,6,8,1,2]=>[4,2,6,5,3,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[5,7,3,4,1,8,6,2]=>[4,2,6,5,8,1,3,7]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[5,7,3,4,1,6,8,2]=>[4,2,6,5,8,3,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[5,7,3,1,4,6,2,8]=>[4,2,6,8,5,3,7,1]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[5,7,3,1,4,8,6,2]=>[4,2,6,8,5,1,3,7]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[5,3,7,1,4,2,8,6]=>[4,6,2,8,5,7,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[3,7,5,1,2,8,6,4]=>[6,2,4,8,7,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[7,3,8,5,1,2,6,4]=>[2,6,1,4,8,7,3,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[6,1,4,3,5,2,8,7]=>[3,8,5,6,4,7,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,5,7,3,8,4,1,6]=>[7,4,2,6,1,5,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[5,4,7,8,6,1,3,2]=>[4,5,2,1,3,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[7,5,6,2,8,3,1,4]=>[2,4,3,7,1,6,8,5]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[4,7,2,5,8,3,1,6]=>[5,2,7,4,1,6,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[5,1,4,6,3,2,8,7]=>[4,8,5,3,6,7,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,5,6,2,4,1,8,7]=>[6,4,3,7,5,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[2,5,3,4,8,1,7,6]=>[7,4,6,5,1,8,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[8,7,1,2,5,3,4,6]=>[1,2,8,7,4,6,5,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[5,1,8,2,3,4,7,6]=>[4,8,1,7,6,5,2,3]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[5,4,7,6,2,8,1,3]=>[4,5,2,3,7,1,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[3,7,8,1,5,4,6,2]=>[6,2,1,8,4,5,3,7]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[7,1,3,4,6,8,5,2]=>[2,8,6,5,3,1,4,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[5,8,7,1,4,6,2,3]=>[4,1,2,8,5,3,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[2,1,8,4,6,7,3,5]=>[7,8,1,5,3,2,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,7,8,6,3,1,2,5]=>[5,2,1,3,6,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[6,7,2,4,8,5,3,1]=>[3,2,7,5,1,4,6,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[2,8,3,6,7,5,1,4]=>[7,1,6,3,2,4,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,2,1,7,6,3,5,4]=>[1,7,8,2,3,6,4,5]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[3,2,4,5,8,1,7,6]=>[6,7,5,4,1,8,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[4,7,3,2,1,8,6,5]=>[5,2,6,7,8,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[6,4,7,5,2,3,8,1]=>[3,5,2,4,7,6,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[4,8,7,2,3,1,5,6]=>[5,1,2,7,6,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[4,2,3,1,8,7,5,6]=>[5,7,6,8,1,2,4,3]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[7,6,8,1,3,5,2,4]=>[2,3,1,8,6,4,7,5]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[4,7,2,6,5,1,8,3]=>[5,2,7,3,4,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,7,2,6,4,1,5,3]=>[1,2,7,3,5,8,4,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[6,7,8,2,5,3,1,4]=>[3,2,1,7,4,6,8,5]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[2,1,5,7,8,4,6,3]=>[7,8,4,2,1,5,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[7,4,8,1,2,5,6,3]=>[2,5,1,8,7,4,3,6]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[4,2,7,8,6,3,5,1]=>[5,7,2,1,3,6,4,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[6,1,7,4,3,2,8,5]=>[3,8,2,5,6,7,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[6,5,8,3,7,4,1,2]=>[3,4,1,6,2,5,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[7,1,4,8,3,5,6,2]=>[2,8,5,1,6,4,3,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[6,8,7,5,3,4,1,2]=>[3,1,2,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[3,4,8,2,5,7,6,1]=>[6,5,1,7,4,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,5,7,2,8,6,1,4]=>[6,4,2,7,1,3,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[2,5,7,4,8,6,1,3]=>[7,4,2,5,1,3,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[2,6,3,7,5,1,8,4]=>[7,3,6,2,4,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[2,6,4,8,7,5,1,3]=>[7,3,5,1,2,4,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[6,3,7,2,8,5,1,4]=>[3,6,2,7,1,4,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[3,6,2,5,8,7,1,4]=>[6,3,7,4,1,2,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[5,2,8,4,7,6,1,3]=>[4,7,1,5,2,3,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[7,2,4,8,6,5,1,3]=>[2,7,5,1,3,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[6,2,4,8,7,5,1,3]=>[3,7,5,1,2,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[2,4,5,8,7,6,1,3]=>[7,5,4,1,2,3,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,3,5,7,6,1,8,4]=>[7,6,4,2,3,8,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[5,2,3,6,1,8,7,4]=>[4,7,6,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[2,5,1,4,7,3,8,6]=>[7,4,8,5,2,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[5,1,3,7,2,8,6,4]=>[4,8,6,2,7,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[7,3,4,1,8,6,5,2]=>[2,6,5,8,1,3,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,6,4,2,8,7,5,3]=>[8,3,5,7,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[7,4,2,5,1,8,6,3]=>[2,5,7,4,8,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,6,2,7,5,1,8,3]=>[5,3,7,2,4,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[4,5,2,6,1,8,7,3]=>[5,4,7,3,8,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[1,5,3,6,2,8,7,4]=>[8,4,6,3,7,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[1,5,8,3,2,7,6,4]=>[8,4,1,6,7,2,3,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[2,5,8,3,1,7,6,4]=>[7,4,1,6,8,2,3,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,6,2,5,1,4,8,7]=>[6,3,7,4,8,5,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[5,2,8,4,1,3,7,6]=>[4,7,1,5,8,6,2,3]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[2,4,8,7,1,3,6,5]=>[7,5,1,2,8,6,3,4]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[2,3,8,1,4,7,6,5]=>[7,6,1,8,5,2,3,4]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,3,8,2,4,7,6,5]=>[8,6,1,7,5,2,3,4]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,3,1,7,2,8,5,4]=>[3,6,8,2,7,1,4,5]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[7,5,1,2,8,6,4,3]=>[2,4,8,7,1,3,5,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[4,6,1,2,8,7,5,3]=>[5,3,8,7,1,2,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[1,6,2,3,8,7,5,4]=>[8,3,7,6,1,2,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,5,2,3,8,7,6,4]=>[8,4,7,6,1,2,3,5]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[6,4,1,2,8,7,5,3]=>[3,5,8,7,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[7,4,1,2,8,6,5,3]=>[2,5,8,7,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[4,1,2,8,3,7,6,5]=>[5,8,7,1,6,2,3,4]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[4,7,5,6,8,3,1,2]=>[5,2,4,3,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,6,4,7,5,3,1,2]=>[1,3,5,2,4,6,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[7,5,2,6,4,1,3,8]=>[2,4,7,3,5,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[1,6,3,7,5,8,4,2]=>[8,3,6,2,4,1,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,3,7,4,5,8,6,2]=>[8,6,2,5,4,1,3,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[8,3,7,4,6,5,1,2]=>[1,6,2,5,3,4,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[4,8,7,5,6,3,1,2]=>[5,1,2,4,3,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[1,6,5,2,8,3,7,4]=>[8,3,4,7,1,6,2,5]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[2,7,6,3,1,4,5,8]=>[7,2,3,6,8,5,4,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[6,8,5,3,2,1,4,7]=>[3,1,4,6,7,8,5,2]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,7,6,4,5,1,3,8]=>[7,2,3,5,4,8,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[5,7,2,6,4,1,3,8]=>[4,2,7,3,5,8,6,1]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[6,1,3,7,5,8,4,2]=>[3,8,6,2,4,1,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[4,1,7,3,6,8,5,2]=>[5,8,2,6,3,1,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[8,1,6,4,3,7,5,2]=>[1,8,3,5,6,2,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[1,8,6,3,7,5,4,2]=>[8,1,3,6,2,4,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[1,8,2,7,3,6,5,4]=>[8,1,7,2,6,3,4,5]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[6,2,8,7,1,4,3,5]=>[3,7,1,2,8,5,6,4]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,7,2,1,5,4,3,6]=>[1,2,7,8,4,5,6,3]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[2,4,8,3,1,5,6,7]=>[7,5,1,6,8,4,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[3,4,2,7,1,5,6,8]=>[6,5,7,2,8,4,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[4,7,3,8,2,1,5,6]=>[5,2,6,1,7,8,4,3]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[8,3,7,2,1,5,4,6]=>[1,6,2,7,8,4,5,3]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[1,3,7,2,8,4,6,5]=>[8,6,2,7,1,5,3,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,5,3,8,2,1,4,7]=>[3,4,6,1,7,8,5,2]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[2,6,4,5,7,1,3,8]=>[7,3,5,4,2,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[5,4,6,2,7,1,3,8]=>[4,5,3,7,2,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,6,3,1,8,4,5,2]=>[2,3,6,8,1,5,4,7]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[7,6,2,1,8,5,3,4]=>[2,3,7,8,1,4,6,5]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,7,5,8,6,4,3,2]=>[8,2,4,1,3,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[6,5,1,2,8,3,7,4]=>[3,4,8,7,1,6,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[6,8,4,1,3,7,5,2]=>[3,1,5,8,6,2,4,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,5,7,1,3,8,4,2]=>[3,4,2,8,6,1,5,7]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[1,3,8,7,4,6,5,2]=>[8,6,1,2,5,3,4,7]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[1,2,8,7,6,3,5,4]=>[8,7,1,2,3,6,4,5]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[8,2,1,7,6,4,3,5]=>[1,7,8,2,3,5,6,4]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[2,3,1,8,7,4,5,6]=>[7,6,8,1,2,5,4,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[5,8,2,1,7,6,3,4]=>[4,1,7,8,2,3,6,5]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[8,7,1,6,5,4,3,2]=>[1,2,8,3,4,5,6,7]=>[[1,2,3,5,6,7,8],[4]]=>[4,4]
[7,1,8,3,6,5,4,2]=>[2,8,1,6,3,4,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[4,1,8,7,5,6,3,2]=>[5,8,1,2,4,3,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[2,1,7,8,4,6,3,5]=>[7,8,2,1,5,3,6,4]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[3,5,8,7,2,6,4,1]=>[6,4,1,2,7,3,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[5,8,2,7,1,6,4,3]=>[4,1,7,2,8,3,5,6]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[2,1,6,4,5,8,3,7]=>[7,8,3,5,4,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[8,6,3,7,5,2,1,4]=>[1,3,6,2,4,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[4,6,3,8,5,2,1,7]=>[5,3,6,1,4,7,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[4,6,3,7,5,2,8,1]=>[5,3,6,2,4,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[3,5,7,8,2,6,1,4]=>[6,4,2,1,7,3,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,6,2,4,1,3,8,7]=>[4,3,7,5,8,6,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[7,6,3,8,5,2,4,1]=>[2,3,6,1,4,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[8,2,3,4,6,1,5,7]=>[1,7,6,5,3,8,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[7,2,3,4,6,1,8,5]=>[2,7,6,5,3,8,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[8,2,3,4,7,5,1,6]=>[1,7,6,5,2,4,8,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[7,2,3,4,6,8,5,1]=>[2,7,6,5,3,1,4,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[7,8,3,6,5,1,4,2]=>[2,1,6,3,4,8,5,7]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[4,2,3,6,1,5,8,7]=>[5,7,6,3,8,4,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,8,3,7,5,1,6,2]=>[5,1,6,2,4,8,3,7]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,2,3,4,7,8,6,1]=>[4,7,6,5,2,1,3,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[8,2,3,4,7,1,6,5]=>[1,7,6,5,2,8,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,2,3,4,8,7,1,6]=>[4,7,6,5,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[5,2,3,4,6,8,1,7]=>[4,7,6,5,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[4,2,8,5,7,6,1,3]=>[5,7,1,4,2,3,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[3,7,6,4,5,1,8,2]=>[6,2,3,5,4,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[3,8,6,4,5,1,2,7]=>[6,1,3,5,4,8,7,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[4,7,3,6,5,8,2,1]=>[5,2,6,3,4,1,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[4,8,3,7,5,2,1,6]=>[5,1,6,2,4,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[8,7,3,6,5,1,2,4]=>[1,2,6,3,4,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[8,2,7,5,1,6,3,4]=>[1,7,2,4,8,3,6,5]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[4,2,7,5,8,6,3,1]=>[5,7,2,4,1,3,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[5,8,1,7,3,6,4,2]=>[4,1,8,2,6,3,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[5,2,7,8,4,6,3,1]=>[4,7,2,1,5,3,6,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,2,8,3,7,6,1,4]=>[4,7,1,6,2,3,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[8,2,7,3,1,6,4,5]=>[1,7,2,6,8,3,5,4]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[6,8,3,2,5,7,1,4]=>[3,1,6,7,4,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[6,7,3,8,5,4,2,1]=>[3,2,6,1,4,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[6,2,3,4,7,5,8,1]=>[3,7,6,5,2,4,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,2,3,4,8,5,1,7]=>[3,7,6,5,1,4,8,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[8,2,3,4,1,7,5,6]=>[1,7,6,5,8,2,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,2,3,4,1,8,5,7]=>[3,7,6,5,8,1,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,2,3,4,8,7,5,1]=>[3,7,6,5,1,2,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[6,8,3,1,5,7,4,2]=>[3,1,6,8,4,2,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[7,2,3,4,1,8,6,5]=>[2,7,6,5,8,1,3,4]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[7,2,3,4,1,5,8,6]=>[2,7,6,5,8,4,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[1,2,3,4,8,7,5,6]=>[8,7,6,5,1,2,4,3]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[5,3]
[1,2,8,5,3,4,6,7]=>[8,7,1,4,6,5,3,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[8,6,7,4,1,5,3,2]=>[1,3,2,5,8,4,6,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[4,8,6,7,5,1,3,2]=>[5,1,3,2,4,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[7,1,8,4,6,5,2,3]=>[2,8,1,5,3,4,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[8,7,1,5,4,6,2,3]=>[1,2,8,4,5,3,7,6]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,5,7,1,4,6,3,2]=>[1,4,2,8,5,3,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[6,4,8,5,1,7,3,2]=>[3,5,1,4,8,2,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[4,8,5,7,1,6,3,2]=>[5,1,4,2,8,3,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[8,4,7,1,5,6,3,2]=>[1,5,2,8,4,3,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,7,1,4,5,6,3,2]=>[1,2,8,5,4,3,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[8,7,4,5,6,1,3,2]=>[1,2,5,4,3,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,7,5,1,4,6,2,3]=>[1,2,4,8,5,3,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,7,2,5,1,4,6,3]=>[1,2,7,4,8,5,3,6]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[4,8,7,2,5,1,6,3]=>[5,1,2,7,4,8,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[1,6,4,8,5,2,7,3]=>[8,3,5,1,4,7,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[8,7,1,4,2,5,6,3]=>[1,2,8,5,7,4,3,6]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,7,5,1,2,4,6,3]=>[1,2,4,8,7,5,3,6]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[7,1,8,5,6,2,3,4]=>[2,8,1,4,3,7,6,5]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[3,8,7,1,2,5,6,4]=>[6,1,2,8,7,4,3,5]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[3,5,8,7,1,2,6,4]=>[6,4,1,2,8,7,3,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[2,3,8,5,7,1,6,4]=>[7,6,1,4,2,8,3,5]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,8,7,1,5,6,2,4]=>[6,1,2,8,4,3,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[3,5,8,7,1,6,2,4]=>[6,4,1,2,8,3,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[2,3,8,6,7,5,1,4]=>[7,6,1,3,2,4,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[3,2,8,6,7,5,1,4]=>[6,7,1,3,2,4,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,1,8,6,2,7,5,3]=>[5,8,1,3,7,2,4,6]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[8,7,4,1,2,6,5,3]=>[1,2,5,8,7,3,4,6]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[1,3,8,6,7,5,2,4]=>[8,6,1,3,2,4,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,7,1,8,2,6,3,4]=>[4,2,8,1,7,3,6,5]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,8,7,1,5,6,3,4]=>[7,1,2,8,4,3,6,5]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[8,7,1,5,2,4,6,3]=>[1,2,8,4,7,5,3,6]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[7,1,8,2,4,6,5,3]=>[2,8,1,7,5,3,4,6]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[1,6,2,8,4,7,5,3]=>[8,3,7,1,5,2,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,3,8,5,7,2,6,4]=>[8,6,1,4,2,7,3,5]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,8,3,7,2,5,6,4]=>[8,1,6,2,7,4,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[2,8,7,1,3,5,6,4]=>[7,1,2,8,6,4,3,5]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[5,7,1,8,2,3,6,4]=>[4,2,8,1,7,6,3,5]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[7,1,8,2,3,5,6,4]=>[2,8,1,7,6,4,3,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[8,6,3,7,4,1,5,2]=>[1,3,6,2,5,8,4,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[4,2,8,6,7,5,1,3]=>[5,7,1,3,2,4,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[8,4,2,7,5,6,1,3]=>[1,5,7,2,4,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[4,8,3,6,1,7,5,2]=>[5,1,6,3,8,2,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[8,3,4,7,5,1,6,2]=>[1,6,5,2,4,8,3,7]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[8,3,7,4,5,1,6,2]=>[1,6,2,5,4,8,3,7]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,7,4,2,5,6,1,3]=>[1,2,5,7,4,3,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,7,5,1,6,2,3,4]=>[1,2,4,8,3,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,7,2,4,1,5,6,3]=>[1,2,7,5,8,4,3,6]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[4,8,6,1,7,2,5,3]=>[5,1,3,8,2,7,4,6]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[4,7,1,8,2,6,5,3]=>[5,2,8,1,7,3,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,2,8,6,7,1,5,3]=>[5,7,1,3,2,8,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[8,7,4,1,2,5,6,3]=>[1,2,5,8,7,4,3,6]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,2,7,1,6,3,4,5]=>[1,7,2,8,3,6,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,2,7,1,3,6,4,5]=>[1,7,2,8,6,3,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[2,8,3,6,7,1,5,4]=>[7,1,6,3,2,8,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[8,7,2,1,3,5,6,4]=>[1,2,7,8,6,4,3,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,8,7,2,3,6,4,5]=>[8,1,2,7,6,3,5,4]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[1,8,7,2,6,3,4,5]=>[8,1,2,7,3,6,5,4]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[8,2,7,3,6,1,4,5]=>[1,7,2,6,3,8,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,8,7,3,6,2,4,5]=>[8,1,2,6,3,7,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[1,8,2,7,6,3,4,5]=>[8,1,7,2,3,6,5,4]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[8,2,7,4,1,5,6,3]=>[1,7,2,5,8,4,3,6]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[8,2,1,7,5,6,3,4]=>[1,7,8,2,4,3,6,5]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[8,7,3,1,5,6,2,4]=>[1,2,6,8,4,3,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[2,8,7,3,5,6,1,4]=>[7,1,2,6,4,3,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[8,3,1,6,7,5,2,4]=>[1,6,8,3,2,4,7,5]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,5,2,1,6,7,4,3]=>[1,4,7,8,3,2,5,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,5,2,8,6,7,4,3]=>[8,4,7,1,3,2,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,2,8,6,7,5,3,4]=>[8,7,1,3,2,4,6,5]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[1,8,3,6,7,5,2,4]=>[8,1,6,3,2,4,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,2,3,6,7,5,1,4]=>[1,7,6,3,2,4,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,3,7,2,5,6,1,4]=>[1,6,2,7,4,3,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,1,3,7,5,6,2,4]=>[1,8,6,2,4,3,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[8,4,1,2,7,5,6,3]=>[1,5,8,7,2,4,3,6]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[8,1,4,2,6,7,5,3]=>[1,8,5,7,3,2,4,6]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[1,2,8,6,7,3,5,4]=>[8,7,1,3,2,6,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[8,1,2,7,3,6,4,5]=>[1,8,7,2,6,3,5,4]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[8,1,7,3,6,2,4,5]=>[1,8,2,6,3,7,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,1,7,2,6,3,4,5]=>[1,8,2,7,3,6,5,4]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[8,1,7,2,3,6,4,5]=>[1,8,2,7,6,3,5,4]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[8,1,3,7,2,5,6,4]=>[1,8,6,2,7,4,3,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,8,3,6,7,2,5,4]=>[8,1,6,3,2,7,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,7,8,2,3,6,5,4]=>[8,2,1,7,6,3,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[8,3,7,1,2,5,6,4]=>[1,6,2,8,7,4,3,5]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,7,1,2,3,6,4,5]=>[1,2,8,7,6,3,5,4]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[2,8,5,7,4,6,3,1]=>[7,1,4,2,5,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[3,1,8,5,7,4,2,6]=>[6,8,1,4,2,5,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[8,3,5,7,4,2,6,1]=>[1,6,4,2,5,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,3,6,2,4,5,7,1]=>[1,6,3,7,5,4,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[2,8,6,4,3,5,7,1]=>[7,1,3,5,6,4,2,8]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[2,6,8,3,5,4,7,1]=>[7,3,1,6,4,5,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[2,7,5,8,4,6,3,1]=>[7,2,4,1,5,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[8,4,2,7,6,1,3,5]=>[1,5,7,2,3,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[4,8,1,7,6,3,2,5]=>[5,1,8,2,3,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[4,1,7,6,2,3,5,8]=>[5,8,2,3,7,6,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[3,7,1,8,6,2,5,4]=>[6,2,8,1,3,7,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[3,1,7,6,4,5,2,8]=>[6,8,2,3,5,4,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[3,1,7,5,8,4,2,6]=>[6,8,2,4,1,5,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[3,1,6,8,7,5,2,4]=>[6,8,3,1,2,4,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[6,3,8,7,5,2,4,1]=>[3,6,1,2,4,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[7,3,5,8,4,2,6,1]=>[2,6,4,1,5,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[7,3,6,4,2,8,5,1]=>[2,6,3,5,7,1,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[7,8,3,6,2,5,4,1]=>[2,1,6,3,7,4,5,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[7,4,8,2,1,6,3,5]=>[2,5,1,7,8,3,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,7,4,6,3,2,5,1]=>[1,2,5,3,6,7,4,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[7,8,5,2,1,4,3,6]=>[2,1,4,7,8,5,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,5,2,3,1,4,8,6]=>[2,4,7,6,8,5,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,4,6,2,3,8,1,5]=>[2,5,3,7,6,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[6,4,2,5,8,3,7,1]=>[3,5,7,4,1,6,2,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[4,6,5,8,1,3,2,7]=>[5,3,4,1,8,6,7,2]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,7,1,5,3,8,2,6]=>[5,2,8,4,6,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,7,8,1,3,6,2,5]=>[5,2,1,8,6,3,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[5,7,1,3,4,6,2,8]=>[4,2,8,6,5,3,7,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[5,7,1,4,2,3,6,8]=>[4,2,8,5,7,6,3,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[5,8,1,3,2,4,6,7]=>[4,1,8,6,7,5,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,8,6,1,3,2,7,5]=>[5,1,3,8,6,7,2,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[8,4,6,2,1,3,7,5]=>[1,5,3,7,8,6,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[5,4,8,7,2,3,6,1]=>[4,5,1,2,7,6,3,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[5,4,8,7,3,1,2,6]=>[4,5,1,2,6,8,7,3]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,8,3,7,2,5,4,1]=>[3,1,6,2,7,4,5,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[5,4,6,8,2,3,7,1]=>[4,5,3,1,7,6,2,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[5,7,4,2,8,3,6,1]=>[4,2,5,7,1,6,3,8]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[6,4,7,2,1,8,3,5]=>[3,5,2,7,8,1,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,5,3,4,1,2,8,7]=>[3,4,6,5,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[6,8,5,4,1,3,2,7]=>[3,1,4,5,8,6,7,2]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[6,4,3,7,1,5,2,8]=>[3,5,6,2,8,4,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[7,4,2,6,1,5,3,8]=>[2,5,7,3,8,4,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[7,4,2,5,6,1,3,8]=>[2,5,7,4,3,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[6,4,2,8,1,5,7,3]=>[3,5,7,1,8,4,2,6]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,3,7,8,2,5,1,4]=>[3,6,2,1,7,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[7,3,5,6,4,2,1,8]=>[2,6,4,3,5,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[7,4,3,1,5,6,2,8]=>[2,5,6,8,4,3,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,4,5,2,6,1,3,8]=>[2,5,4,7,3,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,3,7,2,8,6,4,1]=>[4,6,2,7,1,3,5,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,3,8,2,6,7,4,1]=>[4,6,1,7,3,2,5,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,3,8,2,5,4,7,1]=>[3,6,1,7,4,5,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,4,8,2,1,5,7,3]=>[3,5,1,7,8,4,2,6]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[6,4,3,1,8,2,7,5]=>[3,5,6,8,1,7,2,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,3,7,8,2,6,4,1]=>[4,6,2,1,7,3,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,7,8,5,6,3,2,1]=>[5,2,1,4,3,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,3,7,6,8,2,4,1]=>[4,6,2,3,1,7,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,7,8,4,6,2,1,3]=>[4,2,1,5,3,7,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,8,4,3,6,7,1,2]=>[4,1,5,6,3,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,8,6,4,7,2,1,3]=>[4,1,3,5,2,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[5,3,8,6,2,7,4,1]=>[4,6,1,3,7,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[4,7,5,8,6,3,2,1]=>[5,2,4,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[4,8,6,7,5,3,2,1]=>[5,1,3,2,4,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[6,3,8,7,2,4,1,5]=>[3,6,1,2,7,5,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[5,3,8,7,2,6,4,1]=>[4,6,1,2,7,3,5,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[5,3,8,6,7,2,4,1]=>[4,6,1,3,2,7,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,3,7,8,6,2,4,1]=>[4,6,2,1,3,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[5,7,6,4,8,2,1,3]=>[4,2,3,5,1,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[5,8,4,6,7,2,1,3]=>[4,1,5,3,2,7,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[6,4,2,8,1,7,3,5]=>[3,5,7,1,8,2,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,5,2,4,3,7,8,1]=>[3,4,7,5,6,2,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[5,4,6,2,8,7,1,3]=>[4,5,3,7,1,2,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,6,3,8,7,2,4,1]=>[4,3,6,1,2,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,7,4,3,1,8,2,5]=>[3,2,5,6,8,1,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[5,7,4,3,6,8,1,2]=>[4,2,5,6,3,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,7,3,8,6,2,4,1]=>[4,2,6,1,3,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,5,8,6,7,3,2,1]=>[5,4,1,3,2,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[4,6,8,5,7,3,2,1]=>[5,3,1,4,2,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,6,8,3,7,2,4,1]=>[4,3,1,6,2,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[5,4,6,8,2,7,1,3]=>[4,5,3,1,7,2,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[3,6,7,8,2,5,1,4]=>[6,3,2,1,7,4,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,7,8,2,6,4,1,3]=>[4,2,1,7,3,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,6,8,5,7,1,4,2]=>[6,3,1,4,2,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,7,4,8,6,2,3,5]=>[8,2,5,1,3,7,6,4]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[5,2,7,4,6,8,1,3]=>[4,7,2,5,3,1,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[4,2,5,6,7,1,8,3]=>[5,7,4,3,2,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[8,2,3,7,5,1,6,4]=>[1,7,6,2,4,8,3,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,2,6,3,5,1,8,4]=>[2,7,3,6,4,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,1,4,2,5,6,3,7]=>[1,8,5,7,4,3,6,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,1,4,2,7,5,3,6]=>[1,8,5,7,2,4,6,3]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,1,3,8,2,7,4,5]=>[3,8,6,1,7,2,5,4]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[3,6,2,4,1,7,8,5]=>[6,3,7,5,8,2,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[6,2,7,3,1,5,8,4]=>[3,7,2,6,8,4,1,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[6,3,4,1,8,5,7,2]=>[3,6,5,8,1,4,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,3,4,1,5,8,6,2]=>[2,6,5,8,4,1,3,7]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[3,6,4,8,1,5,7,2]=>[6,3,5,1,8,4,2,7]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[1,5,8,4,2,6,3,7]=>[8,4,1,5,7,3,6,2]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[4,5,1,8,2,3,7,6]=>[5,4,8,1,7,6,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[4,7,1,8,2,6,3,5]=>[5,2,8,1,7,3,6,4]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,5,2,1,8,4,6,7]=>[6,4,7,8,1,5,3,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[7,5,1,2,3,8,6,4]=>[2,4,8,7,6,1,3,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[6,4,1,2,7,3,8,5]=>[3,5,8,7,2,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,2,6,1,3,4,8,7]=>[4,7,3,8,6,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[7,8,4,5,1,3,2,6]=>[2,1,5,4,8,6,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,7,1,3,2,5,4,8]=>[3,2,8,6,7,4,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[6,7,1,4,3,5,2,8]=>[3,2,8,5,6,4,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[7,8,2,3,1,5,4,6]=>[2,1,7,6,8,4,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,8,2,4,3,5,1,6]=>[2,1,7,5,6,4,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[7,8,2,4,1,5,3,6]=>[2,1,7,5,8,4,6,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[1,4,2,6,5,7,3,8]=>[8,5,7,3,4,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[6,7,2,4,3,5,1,8]=>[3,2,7,5,6,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,7,2,3,1,5,4,8]=>[3,2,7,6,8,4,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[6,7,3,5,4,8,1,2]=>[3,2,6,4,5,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,4,1,6,5,7,3,8]=>[7,5,8,3,4,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,5,2,6,4,7,3,8]=>[8,4,7,3,5,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[2,5,1,6,4,7,3,8]=>[7,4,8,3,5,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[3,6,5,7,4,8,1,2]=>[6,3,4,2,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,6,2,4,3,7,1,8]=>[4,3,7,5,6,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,5,2,6,1,7,3,8]=>[5,4,7,3,8,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[4,5,1,6,3,7,2,8]=>[5,4,8,3,6,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[4,5,3,6,1,7,2,8]=>[5,4,6,3,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[5,6,3,4,1,7,2,8]=>[4,3,6,5,8,2,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,6,1,4,3,7,2,8]=>[4,3,8,5,6,2,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,6,1,3,2,7,4,8]=>[4,3,8,6,7,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[5,6,4,7,1,3,2,8]=>[4,3,5,2,8,6,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[6,7,4,5,1,3,2,8]=>[3,2,5,4,8,6,7,1]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,7,5,8,1,3,2,4]=>[3,2,4,1,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,5,1,3,2,7,6,8]=>[5,4,8,6,7,2,3,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,6,5,7,1,3,2,8]=>[5,3,4,2,8,6,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,6,1,3,2,7,5,8]=>[5,3,8,6,7,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[1,4,3,6,2,7,5,8]=>[8,5,6,3,7,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,4,1,6,5,7,2,8]=>[6,5,8,3,4,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[4,5,2,3,1,7,6,8]=>[5,4,7,6,8,2,3,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,5,3,7,6,8,1,2]=>[5,4,6,2,3,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[4,6,5,7,3,8,1,2]=>[5,3,4,2,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,6,5,7,2,3,1,8]=>[5,3,4,2,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,5,4,6,1,7,2,8]=>[6,4,5,3,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,5,1,6,4,7,2,8]=>[6,4,8,3,5,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,5,3,6,4,7,2,8]=>[8,4,6,3,5,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,5,3,6,2,7,4,8]=>[8,4,6,3,7,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,5,2,6,1,7,4,8]=>[6,4,7,3,8,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,5,2,6,4,7,1,8]=>[6,4,7,3,5,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[3,4,2,6,1,7,5,8]=>[6,5,7,3,8,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[4,6,2,3,1,7,5,8]=>[5,3,7,6,8,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[2,4,3,6,1,7,5,8]=>[7,5,6,3,8,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,5,3,6,4,7,1,8]=>[7,4,6,3,5,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[2,5,3,6,1,7,4,8]=>[7,4,6,3,8,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[4,6,2,7,3,5,8,1]=>[5,3,7,2,6,4,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[3,6,2,7,5,4,8,1]=>[6,3,7,2,4,5,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[5,2,6,7,4,3,8,1]=>[4,7,3,2,5,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[1,5,7,4,3,8,2,6]=>[8,4,2,5,6,1,7,3]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,5,7,2,8,3,6,4]=>[8,4,2,7,1,6,3,5]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,2,6,7,1,8,4,3]=>[4,7,3,2,8,1,5,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[2,3,1,5,8,4,7,6]=>[7,6,8,4,1,5,2,3]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,3,1,5,8,6,4,7]=>[7,6,8,4,1,3,5,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[2,4,7,3,1,8,5,6]=>[7,5,2,6,8,1,4,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[1,3,7,2,8,5,4,6]=>[8,6,2,7,1,4,5,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,3,1,6,8,5,4,7]=>[7,6,8,3,1,4,5,2]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[4,6,2,7,1,8,3,5]=>[5,3,7,2,8,1,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,5,4,3,6,8,2,7]=>[8,4,5,6,3,1,7,2]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[1,6,4,5,7,8,3,2]=>[8,3,5,4,2,1,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[2,5,1,7,8,6,3,4]=>[7,4,8,2,1,3,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[2,1,5,6,8,4,7,3]=>[7,8,4,3,1,5,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[2,4,1,7,8,5,6,3]=>[7,5,8,2,1,4,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[6,2,4,7,5,8,3,1]=>[3,7,5,2,4,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[3,4,6,8,5,7,2,1]=>[6,5,3,1,4,2,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,2,5,7,3,1,8,6]=>[5,7,4,2,6,8,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[4,5,6,2,8,7,3,1]=>[5,4,3,7,1,2,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,5,6,8,1,7,4,3]=>[7,4,3,1,8,2,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,5,6,1,8,7,3,2]=>[5,4,3,8,1,2,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,5,6,3,1,8,7,2]=>[5,4,3,6,8,1,2,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[4,3,6,2,1,7,5,8]=>[5,6,3,7,8,2,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[4,6,3,2,1,7,5,8]=>[5,3,6,7,8,2,4,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[4,6,3,1,7,5,2,8]=>[5,3,6,8,2,4,7,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[4,5,3,7,6,1,8,2]=>[5,4,6,2,3,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[4,5,1,7,3,8,6,2]=>[5,4,8,2,6,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,5,7,1,4,3,8,6]=>[7,4,2,8,5,6,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[4,3,5,7,6,1,8,2]=>[5,6,4,2,3,8,1,7]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[4,3,6,1,7,5,2,8]=>[5,6,3,8,2,4,7,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[4,3,2,6,1,7,5,8]=>[5,6,7,3,8,2,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[5,3,2,1,6,4,7,8]=>[4,6,7,8,3,5,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,3,1,6,2,7,4,8]=>[4,6,8,3,7,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[5,1,6,3,2,7,4,8]=>[4,8,3,6,7,2,5,1]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,6,1,4,7,5,3,8]=>[7,3,8,5,2,4,6,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[3,6,1,7,4,2,5,8]=>[6,3,8,2,5,7,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[4,6,1,7,5,3,2,8]=>[5,3,8,2,4,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[5,1,6,3,7,4,2,8]=>[4,8,3,6,2,5,7,1]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[5,3,6,4,2,1,7,8]=>[4,6,3,5,7,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[5,3,2,6,4,1,7,8]=>[4,6,7,3,5,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[5,2,1,6,3,7,4,8]=>[4,7,8,3,6,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[5,2,6,3,1,7,4,8]=>[4,7,3,6,8,2,5,1]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[4,2,6,3,1,7,8,5]=>[5,7,3,6,8,2,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,6,2,1,7,4,5,8]=>[6,3,7,8,2,5,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[3,6,2,7,4,1,5,8]=>[6,3,7,2,5,8,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[3,5,7,2,8,6,4,1]=>[6,4,2,7,1,3,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,4,7,1,3,6,5,8]=>[7,5,2,8,6,3,4,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[2,6,1,3,7,5,4,8]=>[7,3,8,6,2,4,5,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[3,6,1,7,5,2,4,8]=>[6,3,8,2,4,7,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[5,1,6,2,7,4,3,8]=>[4,8,3,7,2,5,6,1]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[5,2,6,4,3,1,7,8]=>[4,7,3,5,6,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[5,2,1,6,4,3,7,8]=>[4,7,8,3,5,6,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[5,4,2,1,6,3,7,8]=>[4,5,7,8,3,6,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,4,2,6,3,1,7,8]=>[4,5,7,3,6,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[5,4,1,6,2,7,3,8]=>[4,5,8,3,7,2,6,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[5,1,6,4,2,7,3,8]=>[4,8,3,5,7,2,6,1]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[3,6,1,7,5,4,8,2]=>[6,3,8,2,4,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,6,1,5,4,3,7,8]=>[7,3,8,4,5,6,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[3,1,6,2,5,4,7,8]=>[6,8,3,7,4,5,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[5,1,6,4,3,2,7,8]=>[4,8,3,5,6,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[5,4,1,6,3,2,7,8]=>[4,5,8,3,6,7,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[5,4,3,1,6,2,7,8]=>[4,5,6,8,3,7,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[3,8,7,2,5,4,1,6]=>[6,1,2,7,4,5,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[7,5,1,6,8,4,3,2]=>[2,4,8,3,1,5,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[7,4,2,1,5,6,3,8]=>[2,5,7,8,4,3,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,2,8,6,5,1,3,4]=>[2,7,1,3,4,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[5,3,2,6,7,4,1,8]=>[4,6,7,3,2,5,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,3,7,2,5,6,1,8]=>[5,6,2,7,4,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[8,7,3,6,1,5,4,2]=>[1,2,6,3,8,4,5,7]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[5,4,2,1,7,8,3,6]=>[4,5,7,8,2,1,6,3]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[4,7,8,3,5,2,1,6]=>[5,2,1,6,4,7,8,3]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,7,6,2,1,8,3,5]=>[5,2,3,7,8,1,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[1,4,6,7,3,5,8,2]=>[8,5,3,2,6,4,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[8,3,6,2,1,7,5,4]=>[1,6,3,7,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[8,3,7,6,4,2,1,5]=>[1,6,2,3,5,7,8,4]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[2,3,1,8,4,7,6,5]=>[7,6,8,1,5,2,3,4]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[8,6,5,1,4,7,3,2]=>[1,3,4,8,5,2,6,7]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[8,5,4,1,7,3,6,2]=>[1,4,5,8,2,6,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[6,3,7,2,8,5,4,1]=>[3,6,2,7,1,4,5,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,6,3,8,2,7,5,4]=>[8,3,6,1,7,2,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,7,5,3,8,2,6,4]=>[8,2,4,6,1,7,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,7,5,1,3,8,6,4]=>[7,2,4,8,6,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[3,7,8,5,2,4,1,6]=>[6,2,1,4,7,5,8,3]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,7,6,2,4,1,8,5]=>[6,2,3,7,5,8,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[1,6,8,2,5,7,4,3]=>[8,3,1,7,4,2,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,3,1,7,8,4,2,6]=>[4,6,8,2,1,5,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[8,4,2,7,6,3,1,5]=>[1,5,7,2,3,6,8,4]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[6,3,1,7,5,2,8,4]=>[3,6,8,2,4,7,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[6,2,7,5,3,1,8,4]=>[3,7,2,4,6,8,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[5,7,3,1,8,4,6,2]=>[4,2,6,8,1,5,3,7]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[8,4,7,3,1,6,5,2]=>[1,5,2,6,8,3,4,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[2,6,8,5,7,4,1,3]=>[7,3,1,4,2,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,6,4,8,3,7,2,1]=>[4,3,5,1,6,2,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[6,7,1,8,3,4,2,5]=>[3,2,8,1,6,5,7,4]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[6,7,2,4,3,8,1,5]=>[3,2,7,5,6,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[2,5,4,8,3,6,1,7]=>[7,4,5,1,6,3,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,3,1,8,5,6,4,7]=>[7,6,8,1,4,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[3,8,5,6,4,7,1,2]=>[6,1,4,3,5,2,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,7,2,4,3,6,1,8]=>[4,2,7,5,6,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,6,2,7,1,5,3,8]=>[5,3,7,2,8,4,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[4,7,1,6,2,5,3,8]=>[5,2,8,3,7,4,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,7,1,5,3,6,2,8]=>[5,2,8,4,6,3,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,6,3,5,1,7,2,8]=>[5,3,6,4,8,2,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[1,8,5,6,3,4,2,7]=>[8,1,4,3,6,5,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,8,5,6,4,7,2,3]=>[8,1,4,3,5,2,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[5,7,1,6,4,8,2,3]=>[4,2,8,3,5,1,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,6,5,8,1,7,2,3]=>[5,3,4,1,8,2,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[4,6,5,8,2,3,1,7]=>[5,3,4,1,7,6,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[3,5,4,6,2,8,1,7]=>[6,4,5,3,7,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,5,1,8,7,6,2,3]=>[5,4,8,1,2,3,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[1,5,2,8,7,6,3,4]=>[8,4,7,1,2,3,6,5]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[5,1,2,8,7,6,3,4]=>[4,8,7,1,2,3,6,5]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,1,5,8,7,6,2,3]=>[5,8,4,1,2,3,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[2,3,6,8,7,4,5,1]=>[7,6,3,1,2,5,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[3,1,6,8,7,4,5,2]=>[6,8,3,1,2,5,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[6,1,8,4,7,3,5,2]=>[3,8,1,5,2,6,4,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[6,8,3,5,7,1,4,2]=>[3,1,6,4,2,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[3,1,7,8,6,4,5,2]=>[6,8,2,1,3,5,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,6,7,8,2,5,3,1]=>[5,3,2,1,7,4,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,8,4,5,2,7,3,1]=>[3,1,5,4,7,2,6,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[3,4,7,5,8,6,2,1]=>[6,5,2,4,1,3,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,6,7,4,8,5,2,1]=>[6,3,2,5,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[6,7,4,2,8,5,3,1]=>[3,2,5,7,1,4,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[4,7,5,2,8,6,3,1]=>[5,2,4,7,1,3,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,7,8,3,2,6,4,1]=>[4,2,1,6,7,3,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[5,6,8,3,2,7,4,1]=>[4,3,1,6,7,2,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,6,8,4,2,7,5,1]=>[6,3,1,5,7,2,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[1,5,8,2,7,3,6,4]=>[8,4,1,7,2,6,3,5]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,8,4,7,2,3,6,1]=>[4,1,5,2,7,6,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[5,6,8,1,3,7,4,2]=>[4,3,1,8,6,2,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[6,7,4,8,1,5,3,2]=>[3,2,5,1,8,4,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,7,4,8,6,2,5,3]=>[8,2,5,1,3,7,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,8,5,2,3,7,4,1]=>[3,1,4,7,6,2,5,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[3,6,4,7,8,5,2,1]=>[6,3,5,2,1,4,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[6,4,2,7,8,5,3,1]=>[3,5,7,2,1,4,6,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[7,4,2,5,8,6,3,1]=>[2,5,7,4,1,3,6,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[7,5,8,3,4,6,2,1]=>[2,4,1,6,5,3,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[7,4,5,8,1,6,3,2]=>[2,5,4,1,8,3,6,7]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[6,3,4,7,8,5,2,1]=>[3,6,5,2,1,4,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[6,1,7,3,4,5,8,2]=>[3,8,2,6,5,4,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[5,7,2,3,4,1,8,6]=>[4,2,7,6,5,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,7,1,8,4,5,6,3]=>[7,2,8,1,5,4,3,6]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,6,8,3,4,5,1,7]=>[7,3,1,6,5,4,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[6,1,2,7,4,5,8,3]=>[3,8,7,2,5,4,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[4,7,2,3,1,5,8,6]=>[5,2,7,6,8,4,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,7,1,3,8,5,6,4]=>[7,2,8,6,1,4,3,5]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[2,6,7,8,4,5,3,1]=>[7,3,2,1,5,4,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,5,8,3,4,1,6,7]=>[7,4,1,6,5,8,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[5,6,2,7,4,3,8,1]=>[4,3,7,2,5,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[4,6,7,3,2,5,8,1]=>[5,3,2,6,7,4,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,6,7,3,8,5,4,1]=>[7,3,2,6,1,4,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,6,1,8,4,5,3,7]=>[7,3,8,1,5,4,6,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,5,7,8,4,3,6,1]=>[7,4,2,1,5,6,3,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[3,6,8,4,5,7,1,2]=>[6,3,1,5,4,2,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[1,6,8,4,7,2,3,5]=>[8,3,1,5,2,7,6,4]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[1,4,5,7,8,2,6,3]=>[8,5,4,2,1,7,3,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,4,5,7,8,6,1,2]=>[6,5,4,2,1,3,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[3,4,5,7,6,8,1,2]=>[6,5,4,2,3,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,6,7,4,8,5,1,2]=>[6,3,2,5,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,4,5,6,8,7,1,2]=>[6,5,4,3,1,2,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[1,4,5,8,7,2,3,6]=>[8,5,4,1,2,7,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[1,2,5,8,3,6,4,7]=>[8,7,4,1,6,3,5,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,4,5,8,6,2,3,7]=>[8,5,4,1,3,7,6,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[7,8,1,4,6,2,3,5]=>[2,1,8,5,3,7,6,4]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[1,6,7,4,8,2,5,3]=>[8,3,2,5,1,7,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[1,4,5,6,8,2,7,3]=>[8,5,4,3,1,7,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[1,4,5,8,6,2,7,3]=>[8,5,4,1,3,7,2,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[1,2,5,8,3,4,7,6]=>[8,7,4,1,6,5,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[1,6,7,2,3,5,8,4]=>[8,3,2,7,6,4,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[7,8,1,2,3,5,4,6]=>[2,1,8,7,6,4,5,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[1,6,7,2,3,5,4,8]=>[8,3,2,7,6,4,5,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[1,4,5,7,6,2,3,8]=>[8,5,4,2,3,7,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[1,2,5,7,3,6,4,8]=>[8,7,4,2,6,3,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,2,5,7,3,6,8,4]=>[8,7,4,2,6,3,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[1,6,8,2,3,5,7,4]=>[8,3,1,7,6,4,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[1,6,8,4,5,2,3,7]=>[8,3,1,5,4,7,6,2]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[1,6,8,2,3,4,7,5]=>[8,3,1,7,6,5,2,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[1,6,8,2,3,7,4,5]=>[8,3,1,7,6,2,5,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[1,4,5,7,6,2,8,3]=>[8,5,4,2,3,7,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[7,8,1,4,5,2,6,3]=>[2,1,8,5,4,7,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,8,1,2,3,4,6,5]=>[2,1,8,7,6,5,3,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[7,8,1,2,3,6,4,5]=>[2,1,8,7,6,3,5,4]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[1,6,7,2,3,8,5,4]=>[8,3,2,7,6,1,4,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[1,2,5,6,3,8,7,4]=>[8,7,4,3,6,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[4,2,6,3,5,1,8,7]=>[5,7,3,6,4,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,6,2,1,5,8,7,3]=>[5,3,7,8,4,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[2,1,6,4,3,8,7,5]=>[7,8,3,5,6,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[8,6,2,4,3,1,5,7]=>[1,3,7,5,6,8,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[6,8,7,2,4,3,1,5]=>[3,1,2,7,5,6,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,1,6,4,8,5,7,3]=>[7,8,3,5,1,4,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[8,4,2,6,3,5,1,7]=>[1,5,7,3,6,4,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,2,1,4,6,5,3,7]=>[1,7,8,5,3,4,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[6,2,1,4,8,5,7,3]=>[3,7,8,5,1,4,2,6]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[6,2,1,8,4,3,7,5]=>[3,7,8,1,5,6,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[8,4,6,5,2,1,3,7]=>[1,5,3,4,7,8,6,2]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[4,6,8,7,5,2,1,3]=>[5,3,1,2,4,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[4,2,8,6,5,7,1,3]=>[5,7,1,3,4,2,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[8,2,6,4,5,1,3,7]=>[1,7,3,5,4,8,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,4,6,2,1,5,3,7]=>[1,5,3,7,8,4,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[6,8,7,4,2,1,3,5]=>[3,1,2,5,7,8,6,4]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[2,8,5,3,1,4,6,7]=>[7,1,4,6,8,5,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[2,7,4,8,3,5,1,6]=>[7,2,5,1,6,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,7,4,8,3,5,6,1]=>[7,2,5,1,6,4,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,2,8,4,3,5,1,6]=>[2,7,1,5,6,4,8,3]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[8,4,2,1,5,3,6,7]=>[1,5,7,8,4,6,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,5,1,4,2,3,6,7]=>[1,4,8,5,7,6,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[8,4,1,5,3,2,6,7]=>[1,5,8,4,6,7,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,7,3,8,4,2,5,1]=>[3,2,6,1,5,7,4,8]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[6,7,3,8,4,2,1,5]=>[3,2,6,1,5,7,8,4]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[7,1,8,4,3,5,2,6]=>[2,8,1,5,6,4,7,3]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[7,1,4,8,3,5,2,6]=>[2,8,5,1,6,4,7,3]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,4,8,1,5,6,2,3]=>[2,5,1,8,4,3,7,6]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[7,1,8,4,3,5,6,2]=>[2,8,1,5,6,4,3,7]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[6,7,3,1,8,4,5,2]=>[3,2,6,8,1,5,4,7]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,7,3,8,4,5,2,1]=>[3,2,6,1,5,4,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[6,7,1,4,8,3,5,2]=>[3,2,8,5,1,6,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[6,7,4,1,3,8,2,5]=>[3,2,5,8,6,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[1,6,7,8,4,3,2,5]=>[8,3,2,1,5,6,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[7,2,1,8,4,5,3,6]=>[2,7,8,1,5,4,6,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[6,2,7,1,8,4,3,5]=>[3,7,2,8,1,5,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[6,2,7,8,4,3,1,5]=>[3,7,2,1,5,6,8,4]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[6,2,7,8,4,3,5,1]=>[3,7,2,1,5,6,4,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[2,6,7,4,8,3,5,1]=>[7,3,2,5,1,6,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[2,6,7,4,8,3,1,5]=>[7,3,2,5,1,6,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[7,8,1,3,6,2,4,5]=>[2,1,8,6,3,7,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[1,2,7,8,6,3,4,5]=>[8,7,2,1,3,6,5,4]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[2,6,7,1,8,5,3,4]=>[7,3,2,8,1,4,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,6,7,8,5,3,1,4]=>[7,3,2,1,4,6,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,6,7,8,5,3,4,1]=>[7,3,2,1,4,6,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[6,2,7,8,4,5,3,1]=>[3,7,2,1,5,4,6,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[7,2,1,8,4,5,6,3]=>[2,7,8,1,5,4,3,6]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[1,7,2,8,4,5,6,3]=>[8,2,7,1,5,4,3,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[3,7,8,1,5,6,2,4]=>[6,2,1,8,4,3,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[6,3,7,8,1,5,2,4]=>[3,6,2,1,8,4,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[6,7,1,2,8,5,3,4]=>[3,2,8,7,1,4,6,5]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[1,6,7,8,4,2,5,3]=>[8,3,2,1,5,7,4,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[3,1,2,7,6,5,8,4]=>[6,8,7,2,3,4,1,5]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[6,1,2,4,7,3,8,5]=>[3,8,7,5,2,6,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[5,1,2,6,7,4,8,3]=>[4,8,7,3,2,5,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[4,6,1,7,3,2,5,8]=>[5,3,8,2,6,7,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[4,6,1,8,3,2,5,7]=>[5,3,8,1,6,7,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[4,1,7,8,6,2,3,5]=>[5,8,2,1,3,7,6,4]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[1,6,5,7,8,3,4,2]=>[8,3,4,2,1,6,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[4,1,8,7,6,2,3,5]=>[5,8,1,2,3,7,6,4]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,8,1,6,3,2,5,7]=>[5,1,8,3,6,7,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[6,8,1,5,3,7,2,4]=>[3,1,8,4,6,2,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[1,5,7,3,4,8,6,2]=>[8,4,2,6,5,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[1,5,8,3,4,7,6,2]=>[8,4,1,6,5,2,3,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,1,2,3,5,6,4,8]=>[2,8,7,6,4,3,5,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[8,1,2,3,5,6,4,7]=>[1,8,7,6,4,3,5,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[8,1,2,3,5,4,7,6]=>[1,8,7,6,4,5,2,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[6,7,2,4,3,1,5,8]=>[3,2,7,5,6,8,4,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[3,7,1,8,6,4,2,5]=>[6,2,8,1,3,5,7,4]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[1,6,4,3,7,5,8,2]=>[8,3,5,6,2,4,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[3,1,2,6,7,5,8,4]=>[6,8,7,3,2,4,1,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[3,8,1,7,6,4,2,5]=>[6,1,8,2,3,5,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[7,6,2,4,3,1,5,8]=>[2,3,7,5,6,8,4,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[8,1,7,4,6,3,2,5]=>[1,8,2,5,3,6,7,4]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[8,1,7,6,5,3,2,4]=>[1,8,2,3,4,6,7,5]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[1,5,7,3,4,6,8,2]=>[8,4,2,6,5,3,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[8,7,2,5,3,6,1,4]=>[1,2,7,4,6,3,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[7,1,2,3,5,4,8,6]=>[2,8,7,6,4,5,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[5,1,2,3,7,6,4,8]=>[4,8,7,6,2,3,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[5,1,2,3,8,6,4,7]=>[4,8,7,6,1,3,5,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[1,5,6,3,4,7,8,2]=>[8,4,3,6,5,2,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[7,4,5,2,3,8,6,1]=>[2,5,4,7,6,1,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[8,2,3,7,4,5,1,6]=>[1,7,6,2,5,4,8,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[4,6,2,3,1,5,8,7]=>[5,3,7,6,8,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,2,3,4,5,8,6,1]=>[2,7,6,5,4,1,3,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[8,2,3,4,5,7,1,6]=>[1,7,6,5,4,2,8,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[7,3,4,6,8,5,1,2]=>[2,6,5,3,1,4,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[3,7,4,5,1,8,6,2]=>[6,2,5,4,8,1,3,7]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[4,8,1,5,6,7,3,2]=>[5,1,8,4,3,2,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,8,2,4,6,7,1,3]=>[4,1,7,5,3,2,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,8,1,3,4,2,7,5]=>[3,1,8,6,5,7,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,8,2,4,3,1,7,6]=>[4,1,7,5,6,8,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,1,3,6,4,8,5,2]=>[2,8,6,3,5,1,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,6,1,4,8,5,2,3]=>[2,3,8,5,1,4,7,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[6,2,3,7,8,5,4,1]=>[3,7,6,2,1,4,5,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[7,2,3,6,8,4,1,5]=>[2,7,6,3,1,5,8,4]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,2,3,5,7,1,4,6]=>[1,7,6,4,2,8,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[6,4,8,3,5,1,7,2]=>[3,5,1,6,4,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[3,6,1,8,4,5,2,7]=>[6,3,8,1,5,4,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[5,2,7,4,8,3,1,6]=>[4,7,2,5,1,6,8,3]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[3,7,8,2,1,4,6,5]=>[6,2,1,7,8,5,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[6,3,2,4,1,8,7,5]=>[3,6,7,5,8,1,2,4]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[5,7,3,1,4,2,6,8]=>[4,2,6,8,5,7,3,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,3,7,4,2,6,1,5]=>[1,6,2,5,7,3,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[3,7,4,1,5,6,2,8]=>[6,2,5,8,4,3,7,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,8,3,2,4,5,7,6]=>[8,1,6,7,5,4,2,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[8,3,5,2,7,4,1,6]=>[1,6,4,7,2,5,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[7,2,4,8,1,3,6,5]=>[2,7,5,1,8,6,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[1,2,8,7,5,6,3,4]=>[8,7,1,2,4,3,6,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[5,1,6,8,3,4,2,7]=>[4,8,3,1,6,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[5,2,1,8,7,4,3,6]=>[4,7,8,1,2,5,6,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[5,2,6,3,8,1,4,7]=>[4,7,3,6,1,8,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[5,2,8,3,4,6,1,7]=>[4,7,1,6,5,3,8,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[6,2,8,4,3,1,7,5]=>[3,7,1,5,6,8,2,4]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[1,8,3,6,5,2,7,4]=>[8,1,6,3,4,7,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[1,8,2,4,7,6,5,3]=>[8,1,7,5,2,3,4,6]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[3,8,2,5,1,7,6,4]=>[6,1,7,4,8,2,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[8,2,4,3,5,1,7,6]=>[1,7,5,6,4,8,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,2,1,4,6,5,7,3]=>[1,7,8,5,3,4,2,6]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[8,1,3,4,5,7,6,2]=>[1,8,6,5,4,2,3,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[4,8,5,1,3,6,2,7]=>[5,1,4,8,6,3,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,6,1,5,7,2,8,4]=>[6,3,8,4,2,7,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[6,3,1,2,8,5,7,4]=>[3,6,8,7,1,4,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[5,3,8,7,2,1,4,6]=>[4,6,1,2,7,8,5,3]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,7,3,5,1,4,8,2]=>[3,2,6,4,8,5,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[6,4,7,5,8,2,3,1]=>[3,5,2,4,1,7,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,7,4,1,6,8,3,2]=>[4,2,5,8,3,1,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,8,4,5,7,1,3,2]=>[3,1,5,4,2,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[5,6,1,4,7,8,3,2]=>[4,3,8,5,2,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,6,7,2,4,8,3,1]=>[4,3,2,7,5,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,6,3,7,4,8,2,1]=>[4,3,6,2,5,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[5,3,6,7,4,8,2,1]=>[4,6,3,2,5,1,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,6,3,8,4,7,2,1]=>[4,3,6,1,5,2,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,6,3,5,8,7,2,1]=>[5,3,6,4,1,2,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[5,6,3,8,2,7,4,1]=>[4,3,6,1,7,2,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,3,6,8,2,7,4,1]=>[4,6,3,1,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,3,7,2,8,6,5,1]=>[5,6,2,7,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,4,7,2,6,8,3,1]=>[4,5,2,7,3,1,6,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,7,3,8,5,2,4,1]=>[3,2,6,1,4,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,4,7,2,5,3,8,1]=>[3,5,2,7,4,6,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,2,7,5,1,4,8,3]=>[3,7,2,4,8,5,1,6]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,5,7,8,4,6,2,1]=>[6,4,2,1,5,3,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,3,7,8,4,6,2,1]=>[4,6,2,1,5,3,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,7,8,2,4,6,3,1]=>[4,2,1,7,5,3,6,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[2,5,8,4,3,7,6,1]=>[7,4,1,5,6,2,3,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[2,6,8,4,7,3,5,1]=>[7,3,1,5,2,6,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,6,4,8,7,2,5,1]=>[6,3,5,1,2,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[3,5,6,8,4,7,2,1]=>[6,4,3,1,5,2,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,3,1,8,7,5,4,2]=>[3,6,8,1,2,4,5,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[5,4,8,1,7,6,3,2]=>[4,5,1,8,2,3,6,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[1,8,2,5,6,3,4,7]=>[8,1,7,4,3,6,5,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[7,2,8,4,5,1,3,6]=>[2,7,1,5,4,8,6,3]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[1,3,7,5,6,2,4,8]=>[8,6,2,4,3,7,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[1,6,7,4,3,5,2,8]=>[8,3,2,5,6,4,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,8,5,2,3,7,4,6]=>[8,1,4,7,6,2,5,3]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,8,2,5,3,6,7,4]=>[8,1,7,4,6,3,2,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[2,6,8,4,3,5,7,1]=>[7,3,1,5,6,4,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[7,5,8,3,2,1,6,4]=>[2,4,1,6,7,8,3,5]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,2,8,4,1,5,6,3]=>[2,7,1,5,8,4,3,6]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[7,5,8,1,2,6,3,4]=>[2,4,1,8,7,3,6,5]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[1,6,7,4,3,2,8,5]=>[8,3,2,5,6,7,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,5,2,6,4,7,8,3]=>[8,4,7,3,5,2,1,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[1,5,4,6,2,3,7,8]=>[8,4,5,3,7,6,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[6,2,5,7,1,4,8,3]=>[3,7,4,2,8,5,1,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[6,5,4,3,8,1,7,2]=>[3,4,5,6,1,8,2,7]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[7,3,6,8,5,2,4,1]=>[2,6,3,1,4,7,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[2,7,8,3,6,5,1,4]=>[7,2,1,6,3,4,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,7,8,5,4,6,3,1]=>[7,2,1,4,5,3,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[2,6,5,8,3,4,1,7]=>[7,3,4,1,6,5,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,6,5,7,3,4,1,8]=>[7,3,4,2,6,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[6,2,5,7,4,1,3,8]=>[3,7,4,2,5,8,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,2,5,8,4,1,3,7]=>[3,7,4,1,5,8,6,2]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[2,7,8,4,6,1,3,5]=>[7,2,1,5,3,8,6,4]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[6,1,2,8,3,7,4,5]=>[3,8,7,1,6,2,5,4]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[6,1,2,8,5,4,7,3]=>[3,8,7,1,4,5,2,6]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[6,2,5,7,8,1,3,4]=>[3,7,4,2,1,8,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[1,5,4,2,6,7,3,8]=>[8,4,5,7,3,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,6,5,7,3,8,1,4]=>[7,3,4,2,6,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,6,2,7,5,8,4,3]=>[8,3,7,2,4,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,3,2,7,8,5,6,4]=>[8,6,7,2,1,4,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[1,6,2,4,8,7,3,5]=>[8,3,7,5,1,2,6,4]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[6,5,2,1,8,7,3,4]=>[3,4,7,8,1,2,6,5]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[2,6,5,3,7,8,4,1]=>[7,3,4,6,2,1,5,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[6,2,5,3,8,4,7,1]=>[3,7,4,6,1,5,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,5,2,3,8,7,1,4]=>[3,4,7,6,1,2,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,4,1,2,3,8,6,7]=>[4,5,8,7,6,1,3,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[5,1,4,2,3,7,8,6]=>[4,8,5,7,6,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[1,5,4,2,6,3,8,7]=>[8,4,5,7,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[5,1,6,3,8,2,7,4]=>[4,8,3,6,1,7,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[9,8,7,6,5,4,3,1,2,10]=>[2,3,4,5,6,7,8,10,9,1]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[8,7,6,5,4,2,1,3,9]=>[2,3,4,5,6,8,9,7,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[1,9,8,7,6,5,3,2,4]=>[9,1,2,3,4,5,7,8,6]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[1,8,7,6,2,5,4,3]=>[8,1,2,3,7,4,5,6]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[1,10,9,8,7,6,5,4,2,3]=>[10,1,2,3,4,5,6,7,9,8]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[2,1,9,8,7,6,5,4,3]=>[8,9,1,2,3,4,5,6,7]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[1,2,9,8,7,6,5,4,3]=>[9,8,1,2,3,4,5,6,7]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[3,2,1,9,8,7,6,5,4]=>[7,8,9,1,2,3,4,5,6]=>[[1,2,3,7,8,9],[4,5,6]]=>[4,5]
[1,3,2,9,8,7,6,5,4]=>[9,7,8,1,2,3,4,5,6]=>[[1,3,6,7,8,9],[2,5],[4]]=>[2,2,5]
[1,2,3,9,8,7,6,5,4]=>[9,8,7,1,2,3,4,5,6]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[4,3,2,1,9,8,7,6,5]=>[6,7,8,9,1,2,3,4,5]=>[[1,2,3,4,9],[5,6,7,8]]=>[5,4]
[1,4,3,2,9,8,7,6,5]=>[9,6,7,8,1,2,3,4,5]=>[[1,3,4,8,9],[2,6,7],[5]]=>[2,3,4]
[1,2,4,3,9,8,7,6,5]=>[9,8,6,7,1,2,3,4,5]=>[[1,4,7,8,9],[2,6],[3],[5]]=>[3,2,4]
[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[1,5,4,3,2,9,8,7,6]=>[9,5,6,7,8,1,2,3,4]=>[[1,3,4,5],[2,7,8,9],[6]]=>[2,4,3]
[1,2,3,5,4,9,8,7,6]=>[9,8,7,5,6,1,2,3,4]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>[4,2,3]
[1,2,3,4,5,9,8,7,6]=>[9,8,7,6,5,1,2,3,4]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[2,1,4,3,6,5,9,8,7]=>[8,9,6,7,4,5,1,2,3]=>[[1,2,9],[3,4],[5,6],[7,8]]=>[3,2,2,2]
[1,2,3,4,6,5,9,8,7]=>[9,8,7,6,4,5,1,2,3]=>[[1,6,9],[2,8],[3],[4],[5],[7]]=>[5,2,2]
[1,2,3,5,4,7,6,9,8]=>[9,8,7,5,6,3,4,1,2]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>[4,2,2,1]
[1,2,3,4,5,7,6,9,8]=>[9,8,7,6,5,3,4,1,2]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[6,2,1]
[1,2,10,9,8,7,6,5,4,3]=>[10,9,1,2,3,4,5,6,7,8]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,7]
[3,2,1,10,9,8,7,6,5,4]=>[8,9,10,1,2,3,4,5,6,7]=>[[1,2,3,7,8,9,10],[4,5,6]]=>[4,6]
[1,2,3,10,9,8,7,6,5,4]=>[10,9,8,1,2,3,4,5,6,7]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,6]
[1,4,3,2,10,9,8,7,6,5]=>[10,7,8,9,1,2,3,4,5,6]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>[2,3,5]
[1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,1,2,3,4,5,6]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,5]
[1,5,4,3,2,10,9,8,7,6]=>[10,6,7,8,9,1,2,3,4,5]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>[2,4,4]
[1,2,3,6,5,4,10,9,8,7]=>[10,9,8,5,6,7,1,2,3,4]=>[[1,5,6,10],[2,8,9],[3],[4],[7]]=>[4,3,3]
[1,2,3,4,5,6,10,9,8,7]=>[10,9,8,7,6,5,1,2,3,4]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,3]
[1,4,3,2,7,6,5,10,9,8]=>[10,7,8,9,4,5,6,1,2,3]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>[2,3,3,2]
[1,2,3,4,5,6,7,10,9,8]=>[10,9,8,7,6,5,4,1,2,3]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[1,2,4,3,6,5,8,7,10,9]=>[10,9,7,8,5,6,3,4,1,2]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[3,2,2,2,1]
[1,2,3,4,6,5,8,7,10,9]=>[10,9,8,7,5,6,3,4,1,2]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>[5,2,2,1]
[1,2,3,4,5,6,8,7,10,9]=>[10,9,8,7,6,5,3,4,1,2]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[7,2,1]
[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[5,2,3,7,1,6,4,8]=>[4,7,6,2,8,3,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[8,7,3,2,1,6,5,4]=>[1,2,6,7,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[8,7,6,3,1,5,2,4]=>[1,2,3,6,8,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[9,8,7,6,5,2,1,4,3]=>[1,2,3,4,5,8,9,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[9,8,7,6,3,1,5,2,4]=>[1,2,3,4,7,9,5,8,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>[7,2]
[9,4,3,2,1,8,7,6,5]=>[1,6,7,8,9,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>[6,3]
[10,9,8,7,6,5,2,1,4,3]=>[1,2,3,4,5,6,9,10,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[8,1,4,6,3,7,2,5]=>[1,8,5,3,6,2,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[8,1,4,6,3,7,5,2]=>[1,8,5,3,6,2,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[3,5,6,2,1,7,4,8]=>[6,4,3,7,8,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[8,1,5,6,7,3,2,4]=>[1,8,4,3,2,6,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[3,5,6,1,8,7,2,4]=>[6,4,3,8,1,2,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,1,3,8,6,7,4,5]=>[7,8,6,1,3,2,5,4]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[8,1,3,2,6,7,5,4]=>[1,8,6,7,3,2,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[2,4,1,8,6,7,5,3]=>[7,5,8,1,3,2,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,5,8,6,1,7,4,3]=>[7,4,1,3,8,2,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[3,5,6,1,8,7,4,2]=>[6,4,3,8,1,2,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,4,6,8,7,1,5,2]=>[6,5,3,1,2,8,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,5,6,1,7,8,3,2]=>[5,4,3,8,2,1,6,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[8,1,5,6,7,4,2,3]=>[1,8,4,3,2,5,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,1,5,6,7,4,3,2]=>[1,8,4,3,2,5,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,5,6,1,7,3,2,8]=>[5,4,3,8,2,6,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[6,5,8,7,4,3,1,2]=>[3,4,1,2,5,6,8,7]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[6,4,2,7,8,5,1,3]=>[3,5,7,2,1,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[6,1,4,8,7,5,2,3]=>[3,8,5,1,2,4,7,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[1,6,4,8,7,5,2,3]=>[8,3,5,1,2,4,7,6]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[1,8,6,2,4,7,3,5]=>[8,1,3,7,5,2,6,4]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[8,1,6,2,4,7,3,5]=>[1,8,3,7,5,2,6,4]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[7,6,2,1,4,8,3,5]=>[2,3,7,8,5,1,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[6,4,1,7,8,5,2,3]=>[3,5,8,2,1,4,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[7,6,1,2,4,8,3,5]=>[2,3,8,7,5,1,6,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,6,1,3,4,8,2,5]=>[2,3,8,6,5,1,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,1,6,3,4,7,2,5]=>[1,8,3,6,5,2,7,4]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[1,8,6,3,4,7,2,5]=>[8,1,3,6,5,2,7,4]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[1,7,2,5,4,8,3,6]=>[8,2,7,4,5,1,6,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[7,1,2,5,4,8,3,6]=>[2,8,7,4,5,1,6,3]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[2,7,1,5,4,8,3,6]=>[7,2,8,4,5,1,6,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[2,8,6,3,4,7,1,5]=>[7,1,3,6,5,2,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,8,6,1,4,7,3,5]=>[7,1,3,8,5,2,6,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[7,2,1,5,4,8,3,6]=>[2,7,8,4,5,1,6,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,2,7,5,4,8,1,6]=>[6,7,2,4,5,1,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[2,5,8,4,7,3,1,6]=>[7,4,1,5,2,6,8,3]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,3,7,5,4,8,1,6]=>[7,6,2,4,5,1,8,3]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,8,3,2,4,7,1,5]=>[3,1,6,7,5,2,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[3,7,2,5,4,8,1,6]=>[6,2,7,4,5,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[3,1,7,5,4,8,2,6]=>[6,8,2,4,5,1,7,3]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[1,3,7,5,4,8,2,6]=>[8,6,2,4,5,1,7,3]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,5,8,4,7,3,2,6]=>[8,4,1,5,2,6,7,3]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,1,8,4,7,3,2,6]=>[4,8,1,5,2,6,7,3]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[5,8,2,4,7,3,1,6]=>[4,1,7,5,2,6,8,3]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[6,8,4,3,7,5,1,2]=>[3,1,5,6,2,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[8,7,5,6,2,1,4,3]=>[1,2,4,3,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[8,5,2,4,7,3,1,6]=>[1,4,7,5,2,6,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,1,5,4,7,3,2,6]=>[1,8,4,5,2,6,7,3]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,8,5,4,7,3,2,6]=>[8,1,4,5,2,6,7,3]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,6,3,1,4,7,2,5]=>[1,3,6,8,5,2,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[8,6,4,2,7,5,1,3]=>[1,3,5,7,2,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[8,6,4,1,7,2,5,3]=>[1,3,5,8,2,7,4,6]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,3,7,4,6,8,2,1]=>[4,6,2,5,3,1,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[4,1,3,2,7,8,5,6]=>[5,8,6,7,2,1,4,3]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,4,3,2,7,8,5,6]=>[8,5,6,7,2,1,4,3]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,4,3,1,7,8,5,6]=>[7,5,6,8,2,1,4,3]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,7,3,5,4,8,1,6]=>[7,2,6,4,5,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,8,5,4,7,3,1,6]=>[7,1,4,5,2,6,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[5,7,3,4,6,8,2,1]=>[4,2,6,5,3,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[8,2,5,4,7,3,1,6]=>[1,7,4,5,2,6,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[7,2,3,5,4,8,1,6]=>[2,7,6,4,5,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[3,2,1,4,7,8,5,6]=>[6,7,8,5,2,1,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,1,7,6,4,3,5,2]=>[1,8,2,3,5,6,4,7]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[8,6,4,5,2,7,1,3]=>[1,3,5,4,7,2,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[7,1,8,6,4,3,5,2]=>[2,8,1,3,5,6,4,7]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[7,4,2,5,1,6,3,8]=>[2,5,7,4,8,3,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,3,6,5,2,1,4,8]=>[2,6,3,4,7,8,5,1]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,3,6,5,2,1,7,4]=>[1,6,3,4,7,8,2,5]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[7,3,6,5,2,1,8,4]=>[2,6,3,4,7,8,1,5]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[7,5,8,6,4,2,1,3]=>[2,4,1,3,5,7,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[5,4,2,8,1,3,7,6]=>[4,5,7,1,8,6,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[5,8,2,6,4,1,3,7]=>[4,1,7,3,5,8,6,2]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[6,4,2,5,1,8,3,7]=>[3,5,7,4,8,1,6,2]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[6,3,5,2,1,4,7,8]=>[3,6,4,7,8,5,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,5,8,6,3,1,4,7]=>[7,4,1,3,6,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[2,3,5,8,1,4,7,6]=>[7,6,4,1,8,5,2,3]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,3,6,8,1,5,7,4]=>[7,6,3,1,8,4,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[6,3,8,5,2,7,1,4]=>[3,6,1,4,7,2,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[6,3,7,5,2,1,4,8]=>[3,6,2,4,7,8,5,1]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[2,5,7,6,3,1,4,8]=>[7,4,2,3,6,8,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[2,8,7,6,3,1,5,4]=>[7,1,2,3,6,8,4,5]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,5,8,7,6,3,1,4]=>[7,4,1,2,3,6,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[2,4,8,1,6,5,7,3]=>[7,5,1,8,3,4,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[2,8,7,3,6,1,4,5]=>[7,1,2,6,3,8,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[7,3,5,2,1,4,6,8]=>[2,6,4,7,8,5,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,4,2,5,1,3,7,6]=>[1,5,7,4,8,6,2,3]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[2,3,6,8,1,4,7,5]=>[7,6,3,1,8,5,2,4]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,7,8,6,3,1,4,5]=>[7,2,1,3,6,8,5,4]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[7,3,8,5,2,1,4,6]=>[2,6,1,4,7,8,5,3]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[2,3,6,1,8,4,7,5]=>[7,6,3,8,1,5,2,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[2,8,6,3,1,4,5,7]=>[7,1,3,6,8,5,4,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[8,3,5,2,1,4,6,7]=>[1,6,4,7,8,5,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,4,8,1,3,7,5,6]=>[7,5,1,8,6,2,4,3]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[2,5,8,1,7,3,6,4]=>[7,4,1,8,2,6,3,5]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[2,8,1,5,7,3,6,4]=>[7,1,8,4,2,6,3,5]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[3,8,6,1,4,7,5,2]=>[6,1,3,8,5,2,4,7]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[2,6,8,1,5,7,3,4]=>[7,3,1,8,4,2,6,5]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[2,7,1,5,8,3,4,6]=>[7,2,8,4,1,6,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[2,7,1,6,3,8,4,5]=>[7,2,8,3,6,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[4,7,6,1,8,5,2,3]=>[5,2,3,8,1,4,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[3,7,5,8,1,2,6,4]=>[6,2,4,1,8,7,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[7,3,6,1,2,8,4,5]=>[2,6,3,8,7,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[7,4,8,1,6,5,2,3]=>[2,5,1,8,3,4,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[7,4,6,1,8,2,5,3]=>[2,5,3,8,1,7,4,6]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[7,4,5,8,6,1,2,3]=>[2,5,4,1,3,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[6,8,4,5,1,7,2,3]=>[3,1,5,4,8,2,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[4,6,8,5,1,7,2,3]=>[5,3,1,4,8,2,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[5,1,7,6,2,3,8,4]=>[4,8,2,3,7,6,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[5,1,7,6,2,8,3,4]=>[4,8,2,3,7,1,6,5]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[5,1,8,7,6,2,3,4]=>[4,8,1,2,3,7,6,5]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[8,5,1,7,6,2,3,4]=>[1,4,8,2,3,7,6,5]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,5,1,6,2,7,3,4]=>[1,4,8,3,7,2,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[3,6,1,8,4,7,5,2]=>[6,3,8,1,5,2,4,7]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,6,1,8,7,5,2,3]=>[5,3,8,1,2,4,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[8,4,6,1,7,5,2,3]=>[1,5,3,8,2,4,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[4,8,5,1,7,2,3,6]=>[5,1,4,8,2,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[4,5,1,8,7,2,3,6]=>[5,4,8,1,2,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[3,4,8,7,1,2,5,6]=>[6,5,1,2,8,7,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[5,8,4,1,7,2,3,6]=>[4,1,5,8,2,7,6,3]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,6,4,7,1,2,5,3]=>[1,3,5,2,8,7,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,4,8,7,1,2,5,3]=>[3,5,1,2,8,7,4,6]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[5,6,8,3,7,1,4,2]=>[4,3,1,6,2,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[6,4,7,1,2,8,5,3]=>[3,5,2,8,7,1,4,6]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[6,5,1,2,7,3,8,4]=>[3,4,8,7,2,6,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[6,5,1,8,2,7,3,4]=>[3,4,8,1,7,2,6,5]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[8,6,5,1,2,7,3,4]=>[1,3,4,8,7,2,6,5]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,6,5,1,7,2,3,4]=>[1,3,4,8,2,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[6,5,1,8,7,2,3,4]=>[3,4,8,1,2,7,6,5]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[6,5,1,7,2,8,3,4]=>[3,4,8,2,7,1,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,5,1,7,2,3,8,4]=>[3,4,8,2,7,6,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[5,7,4,1,8,2,3,6]=>[4,2,5,8,1,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[5,6,8,7,4,1,2,3]=>[4,3,1,2,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[6,8,5,7,4,1,2,3]=>[3,1,4,2,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,3,8,1,5,2,4,6]=>[2,6,1,8,4,7,5,3]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,1,7,5,3,6,2,8]=>[5,8,2,4,6,3,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[1,8,4,2,3,6,7,5]=>[8,1,5,7,6,3,2,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,5,8,3,4,6,7,1]=>[7,4,1,6,5,3,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[4,1,7,2,3,6,8,5]=>[5,8,2,7,6,3,1,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[4,6,2,1,5,7,8,3]=>[5,3,7,8,4,2,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[4,5,2,3,1,7,8,6]=>[5,4,7,6,8,2,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[3,2,6,7,4,1,8,5]=>[6,7,3,2,5,8,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[5,6,2,7,1,4,8,3]=>[4,3,7,2,8,5,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[6,2,3,8,1,7,4,5]=>[3,7,6,1,8,2,5,4]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[2,6,8,3,4,7,1,5]=>[7,3,1,6,5,2,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[4,6,2,7,5,1,3,8]=>[5,3,7,2,4,8,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[2,6,3,1,8,4,5,7]=>[7,3,6,8,1,5,4,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,4,3,7,8,1,5,6]=>[7,5,6,2,1,8,4,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[5,3,2,7,4,8,1,6]=>[4,6,7,2,5,1,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[5,1,2,7,6,8,4,3]=>[4,8,7,2,3,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[2,6,3,1,8,7,4,5]=>[7,3,6,8,1,2,5,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[3,5,6,4,7,8,1,2]=>[6,4,3,5,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[5,3,6,4,2,8,7,1]=>[4,6,3,5,7,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[5,4,2,3,7,8,6,1]=>[4,5,7,6,2,1,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[4,1,8,2,5,7,3,6]=>[5,8,1,7,4,2,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[3,1,8,4,7,2,5,6]=>[6,8,1,5,2,7,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[6,2,3,8,4,1,7,5]=>[3,7,6,1,5,8,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[2,6,4,1,5,3,8,7]=>[7,3,5,8,4,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[6,2,1,4,7,8,3,5]=>[3,7,8,5,2,1,6,4]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[2,6,5,1,7,8,3,4]=>[7,3,4,8,2,1,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[6,8,3,1,5,2,4,7]=>[3,1,6,8,4,7,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[6,8,4,2,1,5,3,7]=>[3,1,5,7,8,4,6,2]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[6,8,5,2,1,7,3,4]=>[3,1,4,7,8,2,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[6,8,4,2,1,5,7,3]=>[3,1,5,7,8,4,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[5,2,1,8,3,6,7,4]=>[4,7,8,1,6,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[6,4,3,1,7,5,8,2]=>[3,5,6,8,2,4,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,3,1,7,2,6,8,4]=>[4,6,8,2,7,3,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[4,2,1,8,5,7,3,6]=>[5,7,8,1,4,2,6,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[6,4,2,1,7,5,3,8]=>[3,5,7,8,2,4,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[6,1,8,4,2,7,3,5]=>[3,8,1,5,7,2,6,4]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[5,3,2,7,6,1,4,8]=>[4,6,7,2,3,8,5,1]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,3,2,8,6,1,4,7]=>[4,6,7,1,3,8,5,2]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[4,3,8,7,2,1,5,6]=>[5,6,1,2,7,8,4,3]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[4,3,2,5,7,1,6,8]=>[5,6,7,4,2,8,3,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[4,3,1,6,2,7,5,8]=>[5,6,8,3,7,2,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,5,3,1,7,8,4,2]=>[3,4,6,8,2,1,5,7]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,4,2,1,7,8,3,5]=>[3,5,7,8,2,1,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[6,4,2,1,7,8,5,3]=>[3,5,7,8,2,1,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[3,2,1,4,8,7,5,6]=>[6,7,8,5,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[3,2,1,4,6,8,5,7]=>[6,7,8,5,3,1,4,2]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[4,3,2,6,1,7,8,5]=>[5,6,7,3,8,2,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[5,3,2,1,6,7,8,4]=>[4,6,7,8,3,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,6,1,4,5,7,2,3]=>[1,3,8,5,4,2,7,6]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[5,2,8,3,7,4,6,1]=>[4,7,1,6,2,5,3,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[6,2,8,5,4,7,3,1]=>[3,7,1,4,5,2,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,8,6,3,7,4,2,5]=>[8,1,3,6,2,5,7,4]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[1,8,6,5,7,2,3,4]=>[8,1,3,4,2,7,6,5]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[5,2,8,4,3,6,7,1]=>[4,7,1,5,6,3,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[5,4,2,7,3,6,1,8]=>[4,5,7,2,6,3,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,4,2,8,3,6,1,7]=>[4,5,7,1,6,3,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[6,5,3,8,4,7,2,1]=>[3,4,6,1,5,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[5,2,8,4,3,7,1,6]=>[4,7,1,5,6,2,8,3]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[6,4,3,8,1,2,7,5]=>[3,5,6,1,8,7,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,6,3,8,4,2,1,5]=>[2,3,6,1,5,7,8,4]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[6,4,2,7,3,1,5,8]=>[3,5,7,2,6,8,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[5,4,1,6,3,8,7,2]=>[4,5,8,3,6,1,2,7]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[6,3,1,7,8,4,2,5]=>[3,6,8,2,1,5,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[6,3,2,7,8,4,1,5]=>[3,6,7,2,1,5,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,7,6,1,3,5,2,4]=>[1,2,3,8,6,4,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,1,3,5,2,8,4,7]=>[3,8,6,4,7,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[4,3,8,7,5,2,1,6]=>[5,6,1,2,4,7,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[6,7,1,8,5,3,4,2]=>[3,2,8,1,4,6,5,7]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[7,5,2,1,3,8,4,6]=>[2,4,7,8,6,1,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,4,7,6,3,1,5,2]=>[1,5,2,3,6,8,4,7]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[5,4,1,7,6,2,8,3]=>[4,5,8,2,3,7,1,6]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[4,7,2,5,6,3,8,1]=>[5,2,7,4,3,6,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[8,6,2,5,7,1,4,3]=>[1,3,7,4,2,8,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[2,7,4,5,3,8,1,6]=>[7,2,5,4,6,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,8,6,5,7,1,4,3]=>[7,1,3,4,2,8,5,6]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[1,4,5,2,8,6,7,3]=>[8,5,4,7,1,3,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[2,3,1,7,8,6,4,5]=>[7,6,8,2,1,3,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,1,3,2,7,8,4,6]=>[4,8,6,7,2,1,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,6,7,8,3,1,5,2]=>[5,3,2,1,6,8,4,7]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[5,3,8,1,7,2,4,6]=>[4,6,1,8,2,7,5,3]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[6,3,8,4,2,1,7,5]=>[3,6,1,5,7,8,2,4]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[3,5,8,1,2,6,7,4]=>[6,4,1,8,7,3,2,5]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[1,3,8,6,2,4,7,5]=>[8,6,1,3,7,5,2,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,2,7,8,4,6,1,5]=>[6,7,2,1,5,3,8,4]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[5,1,8,3,4,6,7,2]=>[4,8,1,6,5,3,2,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[4,8,7,2,1,6,3,5]=>[5,1,2,7,8,3,6,4]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[8,3,4,2,1,6,5,7]=>[1,6,5,7,8,3,4,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[6,4,7,2,5,8,1,3]=>[3,5,2,7,4,1,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,4,5,2,6,3,1,7]=>[1,5,4,7,3,6,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[2,4,5,8,3,6,1,7]=>[7,5,4,1,6,3,8,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[3,5,8,1,2,6,4,7]=>[6,4,1,8,7,3,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[8,6,1,3,5,2,4,7]=>[1,3,8,6,4,7,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,5,1,2,6,4,3,7]=>[1,4,8,7,3,5,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,8,6,1,3,4,2,7]=>[4,1,3,8,6,5,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[7,3,4,5,2,8,1,6]=>[2,6,5,4,7,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,7,4,3,6,1,8,2]=>[4,2,5,6,3,8,1,7]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,6,4,3,7,8,5,1]=>[7,3,5,6,2,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[7,6,3,1,5,4,8,2]=>[2,3,6,8,4,5,1,7]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[2,4,6,5,1,7,8,3]=>[7,5,3,4,8,2,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,4,7,5,6,8,2,3]=>[8,5,2,4,3,1,7,6]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[3,7,5,2,4,6,8,1]=>[6,2,4,7,5,3,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[5,6,1,7,4,2,8,3]=>[4,3,8,2,5,7,1,6]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[3,7,4,8,1,2,6,5]=>[6,2,5,1,8,7,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[6,3,5,7,8,1,4,2]=>[3,6,4,2,1,8,5,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,4,7,8,2,1,3,5]=>[3,5,2,1,7,8,6,4]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[6,7,3,8,4,1,2,5]=>[3,2,6,1,5,8,7,4]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[4,7,5,8,3,1,2,6]=>[5,2,4,1,6,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[5,7,3,1,6,8,4,2]=>[4,2,6,8,3,1,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[2,7,3,1,8,6,4,5]=>[7,2,6,8,1,3,5,4]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[7,6,8,1,2,4,3,5]=>[2,3,1,8,7,5,6,4]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[8,7,6,4,1,2,5,3]=>[1,2,3,5,8,7,4,6]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,7,1,3,5,2,8,4]=>[3,2,8,6,4,7,1,5]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,7,2,3,6,8,1,4]=>[4,2,7,6,3,1,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[3,4,6,7,5,8,1,2]=>[6,5,3,2,4,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[2,6,4,5,7,8,3,1]=>[7,3,5,4,2,1,6,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[2,5,1,3,6,8,7,4]=>[7,4,8,6,3,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[7,5,2,8,4,1,3,6]=>[2,4,7,1,5,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[3,7,6,4,1,8,2,5]=>[6,2,3,5,8,1,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[8,7,5,4,2,1,6,3]=>[1,2,4,5,7,8,3,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[5,8,2,1,6,7,4,3]=>[4,1,7,8,3,2,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[3,6,1,2,5,8,4,7]=>[6,3,8,7,4,1,5,2]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[1,4,5,8,2,3,7,6]=>[8,5,4,1,7,6,2,3]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[5,2,6,1,4,8,3,7]=>[4,7,3,8,5,1,6,2]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[2,5,1,8,4,7,3,6]=>[7,4,8,1,5,2,6,3]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[2,7,1,4,3,6,8,5]=>[7,2,8,5,6,3,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[8,2,1,5,7,3,4,6]=>[1,7,8,4,2,6,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[2,5,4,8,1,3,7,6]=>[7,4,5,1,8,6,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[1,7,3,5,8,2,6,4]=>[8,2,6,4,1,7,3,5]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[1,8,4,2,6,7,3,5]=>[8,1,5,7,3,2,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[3,1,7,6,8,2,4,5]=>[6,8,2,3,1,7,5,4]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[4,1,7,2,6,8,3,5]=>[5,8,2,7,3,1,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[2,6,1,7,3,5,8,4]=>[7,3,8,2,6,4,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[7,1,2,5,3,6,8,4]=>[2,8,7,4,6,3,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[5,4,1,2,7,8,3,6]=>[4,5,8,7,2,1,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,1,3,2,4,6,7,5]=>[1,8,6,7,5,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[7,3,1,2,4,6,8,5]=>[2,6,8,7,5,3,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[1,8,3,4,7,2,5,6]=>[8,1,6,5,2,7,4,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[3,5,8,1,2,7,4,6]=>[6,4,1,8,7,2,5,3]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[3,6,8,1,2,4,7,5]=>[6,3,1,8,7,5,2,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[3,5,8,1,7,2,4,6]=>[6,4,1,8,2,7,5,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[2,6,8,1,7,3,4,5]=>[7,3,1,8,2,6,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[6,1,5,8,2,3,7,4]=>[3,8,4,1,7,6,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[1,8,3,2,7,5,6,4]=>[8,1,6,7,2,4,3,5]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[3,1,7,2,8,5,6,4]=>[6,8,2,7,1,4,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[5,1,7,8,4,2,6,3]=>[4,8,2,1,5,7,3,6]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[5,1,8,7,4,2,6,3]=>[4,8,1,2,5,7,3,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[4,7,2,8,3,6,5,1]=>[5,2,7,1,6,3,4,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,1,7,8,5,3,6,2]=>[5,8,2,1,4,6,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[5,1,7,4,8,3,6,2]=>[4,8,2,5,1,6,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[4,1,8,7,5,3,6,2]=>[5,8,1,2,4,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[4,8,2,7,3,6,5,1]=>[5,1,7,2,6,3,4,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[4,7,2,6,3,5,8,1]=>[5,2,7,3,6,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,8,2,4,3,7,5,1]=>[3,1,7,5,6,2,4,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[6,7,2,4,3,8,5,1]=>[3,2,7,5,6,1,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[6,8,2,7,3,5,4,1]=>[3,1,7,2,6,4,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[3,8,7,2,4,1,5,6]=>[6,1,2,7,5,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[3,7,8,2,4,1,5,6]=>[6,2,1,7,5,8,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,6,8,2,4,5,7,1]=>[6,3,1,7,5,4,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[3,6,7,2,4,5,8,1]=>[6,3,2,7,5,4,1,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[6,5,1,4,2,3,8,7]=>[3,4,8,5,7,6,1,2]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,7,6,1,2,3,5,4]=>[1,2,3,8,7,6,4,5]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,3,4,7,1,6,2,5]=>[1,6,5,2,8,3,7,4]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[6,3,4,1,8,5,2,7]=>[3,6,5,8,1,4,7,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[3,8,5,2,7,1,6,4]=>[6,1,4,7,2,8,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,1,8,7,3,6,4,5]=>[7,8,1,2,6,3,5,4]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[5,2,1,8,7,3,4,6]=>[4,7,8,1,2,6,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[4,6,5,2,7,3,8,1]=>[5,3,4,7,2,6,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[6,2,7,1,8,3,5,4]=>[3,7,2,8,1,6,4,5]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[2,7,5,4,8,3,6,1]=>[7,2,4,5,1,6,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[8,4,3,2,7,1,6,5]=>[1,5,6,7,2,8,3,4]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[7,1,6,2,3,8,5,4]=>[2,8,3,7,6,1,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,1,4,8,5,2,3,7]=>[3,8,5,1,4,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[4,6,7,8,2,3,5,1]=>[5,3,2,1,7,6,4,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[5,8,3,2,4,6,1,7]=>[4,1,6,7,5,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,1,8,6,4,3,7,5]=>[7,8,1,3,5,6,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[2,1,7,6,5,3,8,4]=>[7,8,2,3,4,6,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[2,7,6,1,3,5,8,4]=>[7,2,3,8,6,4,1,5]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,2,5,4,6,1,8,3]=>[2,7,4,5,3,8,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[4,7,6,1,2,5,8,3]=>[5,2,3,8,7,4,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[2,4,1,7,6,8,5,3]=>[7,5,8,2,3,1,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[7,5,4,3,1,8,6,2]=>[2,4,5,6,8,1,3,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,3,5,4,1,7,8,2]=>[3,6,4,5,8,2,1,7]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,7,5,3,8,2,4,6]=>[8,2,4,6,1,7,5,3]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[1,7,2,4,5,8,3,6]=>[8,2,7,5,4,1,6,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[2,6,4,7,8,3,5,1]=>[7,3,5,2,1,6,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[2,6,4,7,8,3,1,5]=>[7,3,5,2,1,6,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[6,1,4,7,8,3,5,2]=>[3,8,5,2,1,6,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[4,3,6,7,1,8,5,2]=>[5,6,3,2,8,1,4,7]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[4,3,6,7,1,8,2,5]=>[5,6,3,2,8,1,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,6,4,7,8,1,2,5]=>[6,3,5,2,1,8,7,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[2,3,6,4,1,7,8,5]=>[7,6,3,5,8,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[4,7,2,1,5,3,8,6]=>[5,2,7,8,4,6,1,3]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[1,3,6,4,7,2,8,5]=>[8,6,3,5,2,7,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[3,6,4,7,2,8,5,1]=>[6,3,5,2,7,1,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[5,1,3,4,2,7,8,6]=>[4,8,6,5,7,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[6,3,2,1,7,8,5,4]=>[3,6,7,8,2,1,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,2,4,7,8,1,5,3]=>[3,7,5,2,1,8,4,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[3,8,4,7,1,2,5,6]=>[6,1,5,2,8,7,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,6,1,2,5,4,3,7]=>[1,3,8,7,4,5,6,2]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[4,8,6,1,5,3,2,7]=>[5,1,3,8,4,6,7,2]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[5,8,6,4,1,3,2,7]=>[4,1,3,5,8,6,7,2]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,3,8,7,1,6,4,5]=>[7,6,1,2,8,3,5,4]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[4,3,7,8,1,6,2,5]=>[5,6,2,1,8,3,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[4,8,1,2,7,3,5,6]=>[5,1,8,7,2,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,5,4,7,1,6,3,2]=>[1,4,5,2,8,3,6,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[2,4,8,7,5,6,1,3]=>[7,5,1,2,4,3,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,4,8,7,5,1,2,3]=>[3,5,1,2,4,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[5,7,1,8,4,6,2,3]=>[4,2,8,1,5,3,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,3,8,7,2,1,4,5]=>[3,6,1,2,7,8,5,4]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[2,3,7,8,5,6,1,4]=>[7,6,2,1,4,3,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[3,7,6,8,5,1,2,4]=>[6,2,3,1,4,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[2,6,7,8,5,1,3,4]=>[7,3,2,1,4,8,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[2,4,7,8,1,6,3,5]=>[7,5,2,1,8,3,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[6,8,3,4,1,2,7,5]=>[3,1,6,5,8,7,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[5,8,3,2,7,6,1,4]=>[4,1,6,7,2,3,8,5]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[2,6,4,8,5,1,7,3]=>[7,3,5,1,4,8,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[7,5,3,2,8,6,1,4]=>[2,4,6,7,1,3,8,5]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[2,5,1,3,8,6,7,4]=>[7,4,8,6,1,3,2,5]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[4,5,1,2,8,6,7,3]=>[5,4,8,7,1,3,2,6]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[8,3,5,4,1,6,7,2]=>[1,6,4,5,8,3,2,7]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,3,4,8,5,6,1,2]=>[2,6,5,1,4,3,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[7,4,3,1,2,8,5,6]=>[2,5,6,8,7,1,4,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[8,4,7,6,2,1,5,3]=>[1,5,2,3,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,2,1,4,5,8,3,6]=>[2,7,8,5,4,1,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[3,5,7,6,4,1,8,2]=>[6,4,2,3,5,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,7,5,2,1,3,8,6]=>[5,2,4,7,8,6,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[5,7,2,3,6,4,8,1]=>[4,2,7,6,3,5,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[8,6,2,3,7,1,4,5]=>[1,3,7,6,2,8,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[4,7,3,2,1,8,5,6]=>[5,2,6,7,8,1,4,3]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[3,1,7,2,5,8,4,6]=>[6,8,2,7,4,1,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,8,7,6,1,2,5,3]=>[5,1,2,3,8,7,4,6]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[7,8,6,1,3,2,5,4]=>[2,1,3,8,6,7,4,5]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[3,8,1,2,5,7,4,6]=>[6,1,8,7,4,2,5,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[6,8,3,1,2,4,5,7]=>[3,1,6,8,7,5,4,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[4,6,8,7,3,1,5,2]=>[5,3,1,2,6,8,4,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[6,5,3,7,8,4,1,2]=>[3,4,6,2,1,5,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[4,1,3,8,7,5,6,2]=>[5,8,6,1,2,4,3,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[8,4,5,2,1,6,3,7]=>[1,5,4,7,8,3,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[4,3,2,6,8,1,7,5]=>[5,6,7,3,1,8,2,4]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,1,5,6,3,8,2,4]=>[2,8,4,3,6,1,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,1,8,4,3,6,5,2]=>[2,8,1,5,6,3,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[5,6,8,1,7,3,2,4]=>[4,3,1,8,2,6,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[6,5,8,4,3,1,2,7]=>[3,4,1,5,6,8,7,2]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[1,5,8,3,7,4,2,6]=>[8,4,1,6,2,5,7,3]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,8,2,7,1,5,6,4]=>[6,1,7,2,8,4,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[3,5,8,7,4,2,6,1]=>[6,4,1,2,5,7,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[7,5,1,8,4,2,6,3]=>[2,4,8,1,5,7,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[3,6,8,5,2,7,4,1]=>[6,3,1,4,7,2,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[2,1,6,5,4,8,3,7]=>[7,8,3,4,5,1,6,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[2,1,7,8,4,6,5,3]=>[7,8,2,1,5,3,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[2,1,7,4,3,5,8,6]=>[7,8,2,5,6,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[3,5,7,8,4,6,1,2]=>[6,4,2,1,5,3,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[7,5,2,8,4,6,3,1]=>[2,4,7,1,5,3,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,6,2,3,5,7,1,4]=>[1,3,7,6,4,2,8,5]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,8,2,4,3,1,5,6]=>[2,1,7,5,6,8,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,6,3,8,1,5,4,2]=>[2,3,6,1,8,4,5,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[6,2,7,1,3,5,8,4]=>[3,7,2,8,6,4,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[6,1,8,2,3,5,4,7]=>[3,8,1,7,6,4,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[7,2,4,1,6,3,8,5]=>[2,7,5,8,3,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[8,4,3,1,7,5,2,6]=>[1,5,6,8,2,4,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[7,3,1,4,6,8,5,2]=>[2,6,8,5,3,1,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,3,8,5,2,6,4,1]=>[2,6,1,4,7,3,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[4,3,8,7,1,6,5,2]=>[5,6,1,2,8,3,4,7]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[4,7,1,8,5,2,6,3]=>[5,2,8,1,4,7,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[5,3,2,4,7,8,6,1]=>[4,6,7,5,2,1,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[5,3,4,2,8,7,1,6]=>[4,6,5,7,1,2,8,3]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,2,4,3,6,8,1,7]=>[4,7,5,6,3,1,8,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[3,8,6,5,4,1,2,7]=>[6,1,3,4,5,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[4,7,5,6,3,8,2,1]=>[5,2,4,3,6,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[4,8,5,7,2,3,1,6]=>[5,1,4,2,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,2,7,5,8,3,6,1]=>[5,7,2,4,1,6,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[3,8,5,7,1,4,6,2]=>[6,1,4,2,8,5,3,7]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[5,8,2,7,3,4,6,1]=>[4,1,7,2,6,5,3,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,8,2,5,4,3,1,7]=>[3,1,7,4,5,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[6,7,2,4,5,3,8,1]=>[3,2,7,5,4,6,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[5,7,2,8,3,6,1,4]=>[4,2,7,1,6,3,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[5,1,3,6,4,2,8,7]=>[4,8,6,3,5,7,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[5,1,8,7,4,6,2,3]=>[4,8,1,2,5,3,7,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[6,8,3,7,5,4,2,1]=>[3,1,6,2,4,5,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[6,1,3,4,7,5,8,2]=>[3,8,6,5,2,4,1,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,3,2,1,4,8,5,7]=>[3,6,7,8,5,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,2,3,1,4,7,8,5]=>[3,7,6,8,5,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[6,2,1,4,8,7,5,3]=>[3,7,8,5,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[6,2,8,3,5,7,4,1]=>[3,7,1,6,4,2,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,2,1,3,6,4,8,7]=>[4,7,8,6,3,5,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[7,1,8,3,5,4,6,2]=>[2,8,1,6,4,5,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,1,2,4,8,5,6,3]=>[2,8,7,5,1,4,3,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[7,1,3,2,4,8,6,5]=>[2,8,6,7,5,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,2,1,3,4,5,8,6]=>[2,7,8,6,5,4,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,7,3,5,4,2,1,6]=>[1,2,6,4,5,7,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[8,4,6,5,3,2,1,7]=>[1,5,3,4,6,7,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[5,1,6,4,3,2,8,7]=>[4,8,3,5,6,7,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[8,3,7,1,4,6,5,2]=>[1,6,2,8,5,3,4,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[6,3,8,7,5,2,1,4]=>[3,6,1,2,4,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[9,1,8,7,6,5,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,6]
[7,6,8,1,5,4,3,2]=>[2,3,1,8,4,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[7,1,9,8,6,5,4,3,2]=>[3,9,1,2,4,5,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[6,1,9,8,7,5,4,3,2]=>[4,9,1,2,3,5,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[5,4,8,7,6,1,3,2]=>[4,5,1,2,3,8,6,7]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[5,1,9,8,7,6,4,3,2]=>[5,9,1,2,3,4,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[4,1,9,8,7,6,5,3,2]=>[6,9,1,2,3,4,5,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[3,1,9,8,7,6,5,4,2]=>[7,9,1,2,3,4,5,6,8]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[10,1,9,8,7,6,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,7]
[7,6,1,8,5,4,3,2]=>[2,3,8,1,4,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[8,1,10,9,7,6,5,4,3,2]=>[3,10,1,2,4,5,6,7,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[6,5,8,1,7,4,3,2]=>[3,4,1,8,2,5,6,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[7,1,10,9,8,6,5,4,3,2]=>[4,10,1,2,3,5,6,7,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[6,1,10,9,8,7,5,4,3,2]=>[5,10,1,2,3,4,6,7,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[6,5,8,7,4,1,3,2]=>[3,4,1,2,5,8,6,7]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[5,1,10,9,8,7,6,4,3,2]=>[6,10,1,2,3,4,5,7,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[4,1,10,9,8,7,6,5,3,2]=>[7,10,1,2,3,4,5,6,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[3,2,9,8,7,6,5,4,1]=>[7,8,1,2,3,4,5,6,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[3,1,10,9,8,7,6,5,4,2]=>[8,10,1,2,3,4,5,6,7,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[3,7]
[1,8,3,5,6,2,4,7]=>[8,1,6,4,3,7,5,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[1,4,8,5,6,2,3,7]=>[8,5,1,4,3,7,6,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[6,1,4,8,2,3,5,7]=>[3,8,5,1,7,6,4,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[1,8,2,5,4,7,3,6]=>[8,1,7,4,5,2,6,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,7,4,2,5,3,8,6]=>[8,2,5,7,4,6,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[6,7,4,2,1,3,8,5]=>[3,2,5,7,8,6,1,4]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[7,4,3,6,2,1,5,8]=>[2,5,6,3,7,8,4,1]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[7,2,5,3,4,1,6,8]=>[2,7,4,6,5,8,3,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[6,8,4,2,3,1,5,7]=>[3,1,5,7,6,8,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[3,7,5,2,4,1,6,8]=>[6,2,4,7,5,8,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[5,2,8,6,1,3,4,7]=>[4,7,1,3,8,6,5,2]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[2,8,3,1,4,5,6,7]=>[7,1,6,8,5,4,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[8,6,4,1,3,7,2,5]=>[1,3,5,8,6,2,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,4,1,2,8,3,5,6]=>[2,5,8,7,1,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[4,8,1,3,5,7,2,6]=>[5,1,8,6,4,2,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[7,8,4,1,3,6,2,5]=>[2,1,5,8,6,3,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[6,5,8,1,3,7,2,4]=>[3,4,1,8,6,2,7,5]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[5,3,6,1,8,2,4,7]=>[4,6,3,8,1,7,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[4,7,3,1,8,2,5,6]=>[5,2,6,8,1,7,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[8,3,1,7,2,4,5,6]=>[1,6,8,2,7,5,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[4,1,5,8,3,7,6,2]=>[5,8,4,1,6,2,3,7]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[4,1,5,3,8,7,6,2]=>[5,8,4,6,1,2,3,7]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[4,8,5,3,1,7,6,2]=>[5,1,4,6,8,2,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[4,5,2,1,8,7,6,3]=>[5,4,7,8,1,2,3,6]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[4,6,2,8,7,1,5,3]=>[5,3,7,1,2,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,8,6,3,7,5,1,2]=>[5,1,3,6,2,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[5,6,2,7,4,1,8,3]=>[4,3,7,2,5,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[5,6,7,2,8,3,1,4]=>[4,3,2,7,1,6,8,5]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[5,6,7,2,1,8,3,4]=>[4,3,2,7,8,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[5,6,1,7,8,2,4,3]=>[4,3,8,2,1,7,5,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[4,1,6,8,7,3,5,2]=>[5,8,3,1,2,6,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,1,6,8,7,5,3,2]=>[5,8,3,1,2,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[5,6,1,7,8,4,2,3]=>[4,3,8,2,1,5,7,6]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[4,6,8,1,7,5,2,3]=>[5,3,1,8,2,4,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,8,6,1,7,5,3,2]=>[5,1,3,8,2,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[5,6,7,1,8,3,2,4]=>[4,3,2,8,1,6,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[6,4,2,5,7,3,1,8]=>[3,5,7,4,2,6,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[4,2,5,7,6,3,1,8]=>[5,7,4,2,3,6,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[7,4,5,6,1,8,3,2]=>[2,5,4,3,8,1,6,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,1,5,8,6,3,2,7]=>[5,8,4,1,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,2,7,6,1,8,5,4]=>[6,7,2,3,8,1,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[8,6,5,1,2,7,4,3]=>[1,3,4,8,7,2,5,6]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[3,2,5,1,4,8,7,6]=>[6,7,4,8,5,1,2,3]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[5,4,8,3,7,1,6,2]=>[4,5,1,6,2,8,3,7]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[4,7,1,8,2,5,3,6]=>[5,2,8,1,7,4,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,2,5,4,7,8,1,6]=>[6,7,4,5,2,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[3,1,7,6,5,8,2,4]=>[6,8,2,3,4,1,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[1,2,7,5,6,8,3,4]=>[8,7,2,4,3,1,6,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[6,1,4,7,2,8,3,5]=>[3,8,5,2,7,1,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,2,8,6,4,7,1,5]=>[6,7,1,3,5,2,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[7,8,4,6,3,2,1,5]=>[2,1,5,3,6,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,2,5,3,6,7,1,4]=>[1,7,4,6,3,2,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[3,8,5,2,7,6,1,4]=>[6,1,4,7,2,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[4,7,5,3,1,8,6,2]=>[5,2,4,6,8,1,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[4,5,3,6,8,1,7,2]=>[5,4,6,3,1,8,2,7]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[3,5,2,6,1,8,7,4]=>[6,4,7,3,8,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[1,6,3,5,7,2,8,4]=>[8,3,6,4,2,7,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[1,5,4,6,7,8,2,3]=>[8,4,5,3,2,1,7,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[8,4,6,5,7,2,1,3]=>[1,5,3,4,2,7,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[7,4,5,2,6,8,1,3]=>[2,5,4,7,3,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[5,4,2,6,8,7,1,3]=>[4,5,7,3,1,2,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[7,8,4,3,1,2,6,5]=>[2,1,5,6,8,7,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[6,5,1,4,3,2,8,7]=>[3,4,8,5,6,7,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[5,2,6,7,3,1,4,8]=>[4,7,3,2,6,8,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[2,4,3,8,6,1,5,7]=>[7,5,6,1,3,8,4,2]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[7,8,1,3,5,6,2,4]=>[2,1,8,6,4,3,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[1,5,7,8,3,4,6,2]=>[8,4,2,1,6,5,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[3,1,7,5,8,2,6,4]=>[6,8,2,4,1,7,3,5]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[3,5,7,8,1,4,6,2]=>[6,4,2,1,8,5,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[5,3,7,8,4,1,6,2]=>[4,6,2,1,5,8,3,7]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[5,3,7,1,8,4,6,2]=>[4,6,2,8,1,5,3,7]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[1,5,3,7,8,4,2,6]=>[8,4,6,2,1,5,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,1,3,7,8,4,2,6]=>[4,8,6,2,1,5,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[3,6,2,1,4,5,8,7]=>[6,3,7,8,5,4,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[4,6,2,5,1,3,8,7]=>[5,3,7,4,8,6,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[6,4,2,5,1,3,8,7]=>[3,5,7,4,8,6,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[6,8,2,3,7,1,4,5]=>[3,1,7,6,2,8,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,6,2,7,4,5,1,3]=>[1,3,7,2,5,4,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[5,2,8,1,7,3,4,6]=>[4,7,1,8,2,6,5,3]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,2,3,8,1,5,6,7]=>[5,7,6,1,8,4,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[5,2,8,3,7,1,4,6]=>[4,7,1,6,2,8,5,3]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[5,2,8,4,6,1,3,7]=>[4,7,1,5,3,8,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[2,1,5,8,4,3,6,7]=>[7,8,4,1,5,6,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[3,5,8,2,7,1,4,6]=>[6,4,1,7,2,8,5,3]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[2,6,8,3,7,1,4,5]=>[7,3,1,6,2,8,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[5,1,8,4,6,2,3,7]=>[4,8,1,5,3,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[5,8,4,1,6,2,3,7]=>[4,1,5,8,3,7,6,2]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[4,8,5,1,6,2,3,7]=>[5,1,4,8,3,7,6,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[2,1,5,4,8,3,6,7]=>[7,8,4,5,1,6,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[2,4,3,8,1,5,6,7]=>[7,5,6,1,8,4,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[3,8,4,2,1,5,6,7]=>[6,1,5,7,8,4,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[2,3,8,4,1,5,6,7]=>[7,6,1,5,8,4,3,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[3,4,2,8,1,5,6,7]=>[6,5,7,1,8,4,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[3,8,5,2,7,1,4,6]=>[6,1,4,7,2,8,5,3]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[2,1,4,8,5,3,6,7]=>[7,8,5,1,4,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[3,2,8,4,1,5,6,7]=>[6,7,1,5,8,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[2,8,4,3,1,5,6,7]=>[7,1,5,6,8,4,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[4,1,7,5,6,2,8,3]=>[5,8,2,4,3,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[5,7,4,3,8,1,6,2]=>[4,2,5,6,1,8,3,7]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[5,7,4,3,8,2,6,1]=>[4,2,5,6,1,7,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[3,8,4,2,6,7,5,1]=>[6,1,5,7,3,2,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[3,8,4,1,6,7,5,2]=>[6,1,5,8,3,2,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[6,1,7,5,2,8,4,3]=>[3,8,2,4,7,1,5,6]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[5,6,4,3,2,8,1,7]=>[4,3,5,6,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,6,7,5,3,8,4,1]=>[7,3,2,4,6,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,7,4,8,2,5,3,1]=>[3,2,5,1,7,4,6,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,1,6,7,5,3,8,4]=>[7,8,3,2,4,6,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[3,8,4,2,1,6,7,5]=>[6,1,5,7,8,3,2,4]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,7,4,3,8,2,1,6]=>[4,2,5,6,1,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[6,7,4,8,1,2,5,3]=>[3,2,5,1,8,7,4,6]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[6,7,5,8,1,2,4,3]=>[3,2,4,1,8,7,5,6]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[6,7,4,8,3,1,2,5]=>[3,2,5,1,6,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[3,4,8,1,2,5,7,6]=>[6,5,1,8,7,4,2,3]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[6,1,3,4,8,2,5,7]=>[3,8,6,5,1,7,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[6,2,3,4,8,1,5,7]=>[3,7,6,5,1,8,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[3,4,8,2,1,5,7,6]=>[6,5,1,7,8,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[6,7,5,8,2,4,3,1]=>[3,2,4,1,7,5,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[6,7,5,8,3,1,4,2]=>[3,2,4,1,6,8,5,7]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[3,4,8,1,5,7,6,2]=>[6,5,1,8,4,2,3,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[2,5,7,6,1,4,8,3]=>[7,4,2,3,8,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[6,7,4,8,2,3,5,1]=>[3,2,5,1,7,6,4,8]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[6,7,4,8,1,3,5,2]=>[3,2,5,1,8,6,4,7]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[2,6,7,5,1,3,8,4]=>[7,3,2,4,8,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[6,3,1,4,8,2,5,7]=>[3,6,8,5,1,7,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[6,7,4,8,1,3,2,5]=>[3,2,5,1,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[6,7,5,8,4,1,3,2]=>[3,2,4,1,5,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[6,7,4,8,2,1,3,5]=>[3,2,5,1,7,8,6,4]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[6,7,4,8,1,2,3,5]=>[3,2,5,1,8,7,6,4]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[1,5,6,3,4,8,2,7]=>[8,4,3,6,5,1,7,2]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[1,4,3,6,5,8,2,7]=>[8,5,6,3,4,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[8,1,3,4,7,2,6,5]=>[1,8,6,5,2,7,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,1,7,3,4,8,2,6]=>[4,8,2,6,5,1,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[6,7,8,2,3,5,4,1]=>[3,2,1,7,6,4,5,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[5,8,6,2,3,7,4,1]=>[4,1,3,7,6,2,5,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[2,8,3,4,7,5,6,1]=>[7,1,6,5,2,4,3,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[1,8,3,4,7,6,2,5]=>[8,1,6,5,2,3,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,7,2,3,6,5,4,1]=>[1,2,7,6,3,4,5,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[3,8,1,7,5,2,6,4]=>[6,1,8,2,4,7,3,5]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[4,8,1,6,7,2,5,3]=>[5,1,8,3,2,7,4,6]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[2,1,3,8,4,6,5,7]=>[7,8,6,1,5,3,4,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[8,2,1,7,4,3,6,5]=>[1,7,8,2,5,6,3,4]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[1,3,2,8,5,4,6,7]=>[8,6,7,1,4,5,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[8,3,1,5,7,2,6,4]=>[1,6,8,4,2,7,3,5]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[8,4,5,1,7,2,6,3]=>[1,5,4,8,2,7,3,6]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[1,5,6,8,7,4,2,3]=>[8,4,3,1,2,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,4,5,7,6,3,2,1]=>[1,5,4,2,3,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[1,4,8,5,7,6,2,3]=>[8,5,1,4,2,3,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[2,4,8,5,7,3,6,1]=>[7,5,1,4,2,6,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[4,3,8,6,5,7,2,1]=>[5,6,1,3,4,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[6,7,2,8,5,3,4,1]=>[3,2,7,1,4,6,5,8]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[5,2,7,8,6,3,4,1]=>[4,7,2,1,3,6,5,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,2,8,6,7,3,5,1]=>[5,7,1,3,2,6,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[3,2,8,7,5,4,6,1]=>[6,7,1,2,4,5,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,1,8,7,5,6,2,4]=>[6,8,1,2,4,3,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[4,1,8,6,7,5,2,3]=>[5,8,1,3,2,4,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[5,1,7,8,6,4,2,3]=>[4,8,2,1,3,5,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[6,7,1,8,5,4,2,3]=>[3,2,8,1,4,5,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[7,8,3,2,6,1,4,5]=>[2,1,6,7,3,8,5,4]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[3,4,8,2,6,1,7,5]=>[6,5,1,7,3,8,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[7,8,4,1,5,6,3,2]=>[2,1,5,8,4,3,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[7,8,1,4,5,6,3,2]=>[2,1,8,5,4,3,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[7,8,1,2,6,3,4,5]=>[2,1,8,7,3,6,5,4]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[7,8,5,1,4,6,3,2]=>[2,1,4,8,5,3,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[7,8,4,5,1,6,3,2]=>[2,1,5,4,8,3,6,7]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[6,2,4,8,1,5,3,7]=>[3,7,5,1,8,4,6,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[3,4,8,5,1,6,7,2]=>[6,5,1,4,8,3,2,7]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[3,5,8,1,4,6,7,2]=>[6,4,1,8,5,3,2,7]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[5,3,8,1,4,6,7,2]=>[4,6,1,8,5,3,2,7]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[4,2,6,8,1,5,3,7]=>[5,7,3,1,8,4,6,2]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[6,2,1,8,4,5,3,7]=>[3,7,8,1,5,4,6,2]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[6,3,7,8,5,4,1,2]=>[3,6,2,1,4,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[6,1,5,7,8,4,3,2]=>[3,8,4,2,1,5,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,2,1,8,6,5,3,7]=>[5,7,8,1,3,4,6,2]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[3,6,2,8,5,1,4,7]=>[6,3,7,1,4,8,5,2]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[4,1,2,8,7,5,3,6]=>[5,8,7,1,2,4,6,3]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[7,3,6,8,5,4,1,2]=>[2,6,3,1,4,5,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,1,6,5,8,4,3,2]=>[2,8,3,4,1,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[6,5,7,1,8,4,3,2]=>[3,4,2,8,1,5,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[5,7,6,1,8,4,3,2]=>[4,2,3,8,1,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[6,7,1,5,8,4,3,2]=>[3,2,8,4,1,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[6,7,3,8,5,4,1,2]=>[3,2,6,1,4,5,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[7,6,1,5,8,4,3,2]=>[2,3,8,4,1,5,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[7,5,6,1,8,4,3,2]=>[2,4,3,8,1,5,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[1,8,7,5,3,2,4,6]=>[8,1,2,4,6,7,5,3]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[1,8,7,4,2,5,3,6]=>[8,1,2,5,7,4,6,3]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,3,7,1,6,4,2,8]=>[4,6,2,8,3,5,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[5,3,6,4,2,7,1,8]=>[4,6,3,5,7,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[1,5,3,8,7,4,2,6]=>[8,4,6,1,2,5,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[7,4,2,8,6,3,5,1]=>[2,5,7,1,3,6,4,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[5,3,6,1,8,7,4,2]=>[4,6,3,8,1,2,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,3,8,7,4,2,1,6]=>[4,6,1,2,5,7,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[8,6,3,5,7,4,2,1]=>[1,3,6,4,2,5,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[6,3,8,5,2,1,7,4]=>[3,6,1,4,7,8,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[6,1,8,7,4,2,5,3]=>[3,8,1,2,5,7,4,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[8,6,3,2,4,7,5,1]=>[1,3,6,7,5,2,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[4,3,2,8,7,6,1,5]=>[5,6,7,1,2,3,8,4]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[2,4,5,1,3,8,7,6]=>[7,5,4,8,6,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[1,7,5,8,6,3,2,4]=>[8,2,4,1,3,6,7,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[1,7,4,2,5,8,6,3]=>[8,2,5,7,4,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[8,7,4,2,5,3,1,6]=>[1,2,5,7,4,6,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,3,1,8,7,4,2,6]=>[4,6,8,1,2,5,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[2,8,6,4,1,3,7,5]=>[7,1,3,5,8,6,2,4]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[4,1,8,6,3,2,7,5]=>[5,8,1,3,6,7,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[8,5,2,6,3,1,7,4]=>[1,4,7,3,6,8,2,5]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[7,4,8,5,2,6,3,1]=>[2,5,1,4,7,3,6,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[1,8,5,2,7,4,6,3]=>[8,1,4,7,2,5,3,6]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[8,5,2,7,4,6,3,1]=>[1,4,7,2,5,3,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[6,3,1,7,4,8,5,2]=>[3,6,8,2,5,1,4,7]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[4,1,7,5,8,6,3,2]=>[5,8,2,4,1,3,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[7,4,8,5,2,1,6,3]=>[2,5,1,4,7,8,3,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[1,7,4,6,3,8,5,2]=>[8,2,5,3,6,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,5,6,2,1,4,8,7]=>[6,4,3,7,8,5,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,5,7,8,1,4,2,6]=>[6,4,2,1,8,5,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,1,7,5,8,3,2,6]=>[5,8,2,4,1,6,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[2,1,5,7,8,4,3,6]=>[7,8,4,2,1,5,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[5,1,7,4,8,3,2,6]=>[4,8,2,5,1,6,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[3,7,8,2,4,1,6,5]=>[6,2,1,7,5,8,3,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[3,8,7,2,4,1,6,5]=>[6,1,2,7,5,8,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[3,8,6,2,4,1,7,5]=>[6,1,3,7,5,8,2,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[6,2,8,4,1,7,3,5]=>[3,7,1,5,8,2,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[7,3,4,8,1,6,2,5]=>[2,6,5,1,8,3,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[6,3,4,8,1,7,2,5]=>[3,6,5,1,8,2,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[5,3,4,8,1,2,7,6]=>[4,6,5,1,8,7,2,3]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[4,3,5,8,1,2,7,6]=>[5,6,4,1,8,7,2,3]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[1,8,5,4,2,3,7,6]=>[8,1,4,5,7,6,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[3,5,4,8,1,2,7,6]=>[6,4,5,1,8,7,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[4,5,3,8,1,2,7,6]=>[5,4,6,1,8,7,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[6,4,3,8,1,7,2,5]=>[3,5,6,1,8,2,7,4]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[7,4,3,8,1,6,2,5]=>[2,5,6,1,8,3,7,4]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,5,3,8,7,1,2,4]=>[3,4,6,1,2,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,6,3,8,7,1,2,4]=>[4,3,6,1,2,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[4,6,3,8,1,7,2,5]=>[5,3,6,1,8,2,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[2,6,8,4,1,7,3,5]=>[7,3,1,5,8,2,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[1,8,7,4,2,6,3,5]=>[8,1,2,5,7,3,6,4]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,7,3,8,6,1,2,4]=>[4,2,6,1,3,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[3,7,5,8,6,1,2,4]=>[6,2,4,1,3,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[2,7,8,5,6,1,3,4]=>[7,2,1,4,3,8,6,5]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[1,8,7,5,6,2,3,4]=>[8,1,2,4,3,7,6,5]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,6,8,5,7,1,3,4]=>[7,3,1,4,2,8,6,5]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[5,3,6,8,7,1,2,4]=>[4,6,3,1,2,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[6,3,5,8,7,1,2,4]=>[3,6,4,1,2,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[7,2,8,5,6,1,3,4]=>[2,7,1,4,3,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[5,2,8,6,7,1,3,4]=>[4,7,1,3,2,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[1,8,3,2,7,6,4,5]=>[8,1,6,7,2,3,5,4]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[5,2,8,7,6,1,3,4]=>[4,7,1,2,3,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,2,8,7,5,1,3,4]=>[3,7,1,2,4,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[3,4,7,8,1,6,2,5]=>[6,5,2,1,8,3,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[1,8,5,7,6,2,3,4]=>[8,1,4,2,3,7,6,5]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[2,5,8,7,6,1,3,4]=>[7,4,1,2,3,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[7,4,6,5,8,1,2,3]=>[2,5,3,4,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[3,6,7,8,5,1,2,4]=>[6,3,2,1,4,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[2,6,8,7,5,1,3,4]=>[7,3,1,2,4,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[1,8,6,7,5,2,3,4]=>[8,1,3,2,4,7,6,5]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[2,7,8,6,5,1,3,4]=>[7,2,1,3,4,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[5,7,6,4,8,1,2,3]=>[4,2,3,5,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[6,3,8,7,5,1,2,4]=>[3,6,1,2,4,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[5,4,8,7,1,3,2,6]=>[4,5,1,2,8,6,7,3]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[4,8,6,1,3,2,5,7]=>[5,1,3,8,6,7,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[5,4,2,7,6,8,1,3]=>[4,5,7,2,3,1,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[8,7,2,3,5,4,1,6]=>[1,2,7,6,4,5,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[4,3,5,2,8,7,1,6]=>[5,6,4,7,1,2,8,3]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[3,4,2,8,6,1,5,7]=>[6,5,7,1,3,8,4,2]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[3,7,6,8,1,5,2,4]=>[6,2,3,1,8,4,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[8,1,4,2,3,6,7,5]=>[1,8,5,7,6,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[3,7,2,1,8,6,4,5]=>[6,2,7,8,1,3,5,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[2,8,6,1,7,3,5,4]=>[7,1,3,8,2,6,4,5]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[1,7,6,3,5,8,2,4]=>[8,2,3,6,4,1,7,5]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[3,6,5,8,1,4,7,2]=>[6,3,4,1,8,5,2,7]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[8,1,5,6,4,7,2,3]=>[1,8,4,3,5,2,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[3,6,7,4,1,8,2,5]=>[6,3,2,5,8,1,7,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[1,7,4,6,8,2,5,3]=>[8,2,5,3,1,7,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[2,7,1,6,5,4,8,3]=>[7,2,8,3,4,5,1,6]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[5,3,1,8,4,6,2,7]=>[4,6,8,1,5,3,7,2]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[2,8,4,6,1,5,3,7]=>[7,1,5,3,8,4,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[8,4,1,6,3,2,5,7]=>[1,5,8,3,6,7,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[4,7,3,8,5,2,1,6]=>[5,2,6,1,4,7,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[3,1,7,4,8,5,2,6]=>[6,8,2,5,1,4,7,3]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[8,1,2,4,6,7,5,3]=>[1,8,7,5,3,2,4,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[8,1,3,6,7,5,4,2]=>[1,8,6,3,2,4,5,7]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[8,6,2,4,1,3,7,5]=>[1,3,7,5,8,6,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[4,7,5,1,8,6,3,2]=>[5,2,4,8,1,3,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[8,4,5,7,6,1,3,2]=>[1,5,4,2,3,8,6,7]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[3,8,4,6,1,7,5,2]=>[6,1,5,3,8,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,7,4,6,5,2,8,1]=>[6,2,5,3,4,7,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[6,1,5,7,3,8,4,2]=>[3,8,4,2,6,1,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,2,6,5,8,4,1,3]=>[2,7,3,4,1,5,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[8,3,2,5,1,6,7,4]=>[1,6,7,4,8,3,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[2,5,8,1,6,4,7,3]=>[7,4,1,8,3,5,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,4,1,8,3,2,6,5]=>[2,5,8,1,6,7,3,4]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[5,2,6,8,3,1,7,4]=>[4,7,3,1,6,8,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[3,6,5,8,4,1,7,2]=>[6,3,4,1,5,8,2,7]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[7,3,6,1,8,4,5,2]=>[2,6,3,8,1,5,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[6,1,3,2,4,8,7,5]=>[3,8,6,7,5,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[3,7,1,5,2,8,6,4]=>[6,2,8,4,7,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[5,2,8,7,1,4,3,6]=>[4,7,1,2,8,5,6,3]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[7,1,8,6,2,4,3,5]=>[2,8,1,3,7,5,6,4]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[8,1,6,2,7,5,3,4]=>[1,8,3,7,2,4,6,5]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[7,1,6,2,8,5,3,4]=>[2,8,3,7,1,4,6,5]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[7,2,4,3,5,1,8,6]=>[2,7,5,6,4,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,1,7,2,3,8,6,4]=>[4,8,2,7,6,1,3,5]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[8,2,3,5,1,7,6,4]=>[1,7,6,4,8,2,3,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,6,3,1,4,8,2,5]=>[2,3,6,8,5,1,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[8,2,7,5,1,6,4,3]=>[1,7,2,4,8,3,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[6,1,7,3,2,8,5,4]=>[3,8,2,6,7,1,4,5]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[4,7,2,1,6,3,8,5]=>[5,2,7,8,3,6,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[6,2,1,5,3,8,4,7]=>[3,7,8,4,6,1,5,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[5,3,1,6,2,8,4,7]=>[4,6,8,3,7,1,5,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[7,4,8,1,5,3,2,6]=>[2,5,1,8,4,6,7,3]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[7,3,4,2,8,5,1,6]=>[2,6,5,7,1,4,8,3]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[7,1,6,3,4,2,8,5]=>[2,8,3,6,5,7,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,6,1,3,7,5,2,4]=>[1,3,8,6,2,4,7,5]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[4,8,5,6,1,7,3,2]=>[5,1,4,3,8,2,6,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,6,7,1,5,2,8,4]=>[6,3,2,8,4,7,1,5]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[7,1,3,8,4,2,6,5]=>[2,8,6,1,5,7,3,4]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[5,6,2,7,1,3,8,4]=>[4,3,7,2,8,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[7,4,2,1,5,8,3,6]=>[2,5,7,8,4,1,6,3]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[7,3,2,6,4,8,1,5]=>[2,6,7,3,5,1,8,4]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,4,2,7,3,8,1,5]=>[3,5,7,2,6,1,8,4]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,1,8,4,5,2,7,3]=>[3,8,1,5,4,7,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,5,2,7,1,6,8,4]=>[6,4,7,2,8,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[3,5,1,7,2,6,8,4]=>[6,4,8,2,7,3,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[4,5,7,2,8,1,3,6]=>[5,4,2,7,1,8,6,3]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,6,7,1,3,8,5,2]=>[5,3,2,8,6,1,4,7]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,6,1,5,7,8,4,2]=>[6,3,8,4,2,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[2,5,1,4,3,8,6,7]=>[7,4,8,5,6,1,3,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[3,7,2,1,5,8,6,4]=>[6,2,7,8,4,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[7,2,5,3,1,8,6,4]=>[2,7,4,6,8,1,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,5,1,4,2,8,6,3]=>[2,4,8,5,7,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[5,3,2,1,7,6,4,8]=>[4,6,7,8,2,3,5,1]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[6,3,2,8,1,5,7,4]=>[3,6,7,1,8,4,2,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,4,3,2,8,1,6,5]=>[2,5,6,7,1,8,3,4]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[1,8,5,3,6,4,2,7]=>[8,1,4,6,3,5,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[8,6,2,3,7,5,4,1]=>[1,3,7,6,2,4,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[7,2,6,1,5,4,3,8]=>[2,7,3,8,4,5,6,1]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,4,6,7,1,3,2,5]=>[1,5,3,2,8,6,7,4]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[2,8,5,6,1,4,3,7]=>[7,1,4,3,8,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[7,2,6,8,4,1,5,3]=>[2,7,3,1,5,8,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[5,4,8,3,2,1,7,6]=>[4,5,1,6,7,8,2,3]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[4,3,7,2,1,6,5,8]=>[5,6,2,7,8,3,4,1]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[2,5,8,1,4,3,7,6]=>[7,4,1,8,5,6,2,3]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[3,6,8,2,1,5,7,4]=>[6,3,1,7,8,4,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[2,7,4,1,8,3,6,5]=>[7,2,5,8,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[3,5,1,8,4,2,7,6]=>[6,4,8,1,5,7,2,3]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[6,1,2,7,8,3,5,4]=>[3,8,7,2,1,6,4,5]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,3,1,8,6,4,2,7]=>[4,6,8,1,3,5,7,2]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[7,3,8,1,6,4,2,5]=>[2,6,1,8,3,5,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[5,8,7,1,3,6,4,2]=>[4,1,2,8,6,3,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[3,8,7,2,1,6,4,5]=>[6,1,2,7,8,3,5,4]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[2,8,7,1,6,3,5,4]=>[7,1,2,8,3,6,4,5]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[4,8,7,6,1,3,5,2]=>[5,1,2,3,8,6,4,7]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[6,8,1,7,5,2,4,3]=>[3,1,8,2,4,7,5,6]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[5,8,6,4,3,2,1,7]=>[4,1,3,5,6,7,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[6,1,4,2,5,3,7,8]=>[3,8,5,7,4,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[5,1,6,3,4,7,8,2]=>[4,8,3,6,5,2,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,4,7,1,5,3,8,6]=>[7,5,2,8,4,6,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[2,3,6,7,4,8,1,5]=>[7,6,3,2,5,1,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[2,7,6,5,3,1,8,4]=>[7,2,3,4,6,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[5,2,6,1,4,7,8,3]=>[4,7,3,8,5,2,1,6]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[5,7,4,2,1,3,6,8]=>[4,2,5,7,8,6,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[5,3,6,1,4,2,7,8]=>[4,6,3,8,5,7,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,7,6,3,8,5,1,2]=>[5,2,3,6,1,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[3,7,6,5,1,2,8,4]=>[6,2,3,4,8,7,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[4,7,2,6,1,3,8,5]=>[5,2,7,3,8,6,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[9,1,2,3,4,5,6,8,7]=>[1,9,8,7,6,5,4,2,3]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[10,1,2,3,4,5,6,7,9,8]=>[1,10,9,8,7,6,5,4,2,3]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[9,1,2,3,4,5,7,8,6]=>[1,9,8,7,6,5,3,2,4]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[2,3,4,5,6,7,8,10,9,1]=>[9,8,7,6,5,4,3,1,2,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[9,2,1,8,7,6,5,4,3]=>[1,8,9,2,3,4,5,6,7]=>[[1,2,3,6,7,8,9],[4,5]]=>[4,5]
[4,2,9,8,7,6,5,3,1]=>[6,8,1,2,3,4,5,7,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[5,2,8,7,6,4,3,1]=>[4,7,1,2,3,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[8,2,7,6,1,5,4,3]=>[1,7,2,3,8,4,5,6]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[8,4,1,7,6,5,3,2]=>[1,5,8,2,3,4,6,7]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[9,3,1,8,7,6,5,4,2]=>[1,7,9,2,3,4,5,6,8]=>[[1,2,3,6,7,8,9],[4,5]]=>[4,5]
[10,2,1,9,8,7,6,5,4,3]=>[1,9,10,2,3,4,5,6,7,8]=>[[1,2,3,6,7,8,9,10],[4,5]]=>[4,6]
[4,5,6,2,3,8,1,7]=>[5,4,3,7,6,1,8,2]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[8,3,4,6,1,5,2,7]=>[1,6,5,3,8,4,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[2,3,4,7,5,8,1,6]=>[7,6,5,2,4,1,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[5,3,7,4,8,6,1,2]=>[4,6,2,5,1,3,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[1,3,7,4,8,6,2,5]=>[8,6,2,5,1,3,7,4]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[5,4,3,1,7,8,2,6]=>[4,5,6,8,2,1,7,3]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[5,7,6,2,8,4,1,3]=>[4,2,3,7,1,5,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[4,1,3,7,6,5,8,2]=>[5,8,6,2,3,4,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[3,4,1,7,5,8,6,2]=>[6,5,8,2,4,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[8,5,7,4,3,1,6,2]=>[1,4,2,5,6,8,3,7]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[6,8,5,1,7,2,4,3]=>[3,1,4,8,2,7,5,6]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[8,1,7,4,2,3,6,5]=>[1,8,2,5,7,6,3,4]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[8,2,3,1,5,7,6,4]=>[1,7,6,8,4,2,3,5]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[5,4,7,2,3,6,8,1]=>[4,5,2,7,6,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,3,2,1,8,4,7,5]=>[3,6,7,8,1,5,2,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,2,5,6,7,1,3,4]=>[1,7,4,3,2,8,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[2,8,5,4,7,6,1,3]=>[7,1,4,5,2,3,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[4,8,7,6,2,3,5,1]=>[5,1,2,3,7,6,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[7,8,1,5,3,2,6,4]=>[2,1,8,4,6,7,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,1,4,7,2,5,6,3]=>[1,8,5,2,7,4,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[7,3,4,6,1,5,8,2]=>[2,6,5,3,8,4,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[4,2,6,8,3,1,5,7]=>[5,7,3,1,6,8,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[2,3,6,5,8,1,4,7]=>[7,6,3,4,1,8,5,2]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[4,2,3,8,6,1,5,7]=>[5,7,6,1,3,8,4,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[1,2,3,7,4,6,8,5]=>[8,7,6,2,5,3,1,4]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[4,3,1]
[3,2,7,1,4,5,8,6]=>[6,7,2,8,5,4,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[4,1,8,2,7,3,5,6]=>[5,8,1,7,2,6,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[1,2,7,5,3,8,4,6]=>[8,7,2,4,6,1,5,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[1,2,3,7,8,4,6,5]=>[8,7,6,2,1,5,3,4]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[1,2,3,6,8,4,7,5]=>[8,7,6,3,1,5,2,4]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[6,2,8,3,7,5,1,4]=>[3,7,1,6,2,4,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,2,8,3,7,5,6,1]=>[5,7,1,6,2,4,3,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,3,4,8,6,5,1,2]=>[2,6,5,1,3,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[5,3,4,8,7,2,6,1]=>[4,6,5,1,2,7,3,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,3,5,8,7,2,6,1]=>[5,6,4,1,2,7,3,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,6,3,8,5,7,2,1]=>[5,3,6,1,4,2,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[7,5,3,8,6,2,4,1]=>[2,4,6,1,3,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[2,6,8,3,7,4,5,1]=>[7,3,1,6,2,5,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,8,4,3,7,5,6,2]=>[8,1,5,6,2,4,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[2,5,8,3,7,4,6,1]=>[7,4,1,6,2,5,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,4,3,8,6,2,5,1]=>[2,5,6,1,3,7,4,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[3,5,4,8,7,2,6,1]=>[6,4,5,1,2,7,3,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,5,3,8,6,7,2,1]=>[5,4,6,1,3,2,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[3,6,7,8,4,5,2,1]=>[6,3,2,1,5,4,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,6,8,5,4,7,3,1]=>[7,3,1,4,5,2,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[1,8,5,6,4,7,3,2]=>[8,1,4,3,5,2,6,7]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[2,5,8,6,4,7,3,1]=>[7,4,1,3,5,2,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[7,4,6,5,8,3,2,1]=>[2,5,3,4,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[6,3,7,8,4,5,2,1]=>[3,6,2,1,5,4,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[4,3,7,8,5,6,2,1]=>[5,6,2,1,4,3,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,2,8,6,4,7,3,1]=>[4,7,1,3,5,2,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[4,2,8,6,5,7,3,1]=>[5,7,1,3,4,2,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[3,2,8,6,7,4,5,1]=>[6,7,1,3,2,5,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[2,3,8,7,5,4,6,1]=>[7,6,1,2,4,5,3,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[1,8,2,7,4,5,6,3]=>[8,1,7,2,5,4,3,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[7,2,8,6,3,4,5,1]=>[2,7,1,3,6,5,4,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[6,2,8,4,5,7,3,1]=>[3,7,1,5,4,2,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,2,8,4,6,7,3,1]=>[4,7,1,5,3,2,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[4,2,8,5,6,7,3,1]=>[5,7,1,4,3,2,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[4,3,6,8,5,7,2,1]=>[5,6,3,1,4,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[3,4,6,8,7,2,5,1]=>[6,5,3,1,2,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,3,5,8,6,2,4,1]=>[2,6,4,1,3,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[1,8,3,5,7,4,6,2]=>[8,1,6,4,2,5,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[2,7,8,4,5,6,3,1]=>[7,2,1,5,4,3,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,7,5,8,4,6,2,1]=>[6,2,4,1,5,3,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[5,7,4,6,8,3,2,1]=>[4,2,5,3,1,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[3,6,5,8,4,7,2,1]=>[6,3,4,1,5,2,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[2,6,8,4,5,7,3,1]=>[7,3,1,5,4,2,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[4,2,5,1,3,8,6,7]=>[5,7,4,8,6,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[7,5,1,2,4,8,6,3]=>[2,4,8,7,5,1,3,6]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[6,4,2,3,7,1,5,8]=>[3,5,7,6,2,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[4,7,5,2,8,1,3,6]=>[5,2,4,7,1,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[8,2,6,3,7,1,4,5]=>[1,7,3,6,2,8,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,5,7,1,2,4,6,3]=>[1,4,2,8,7,5,3,6]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,6,2,7,1,3,5,4]=>[1,3,7,2,8,6,4,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[3,8,5,6,1,2,4,7]=>[6,1,4,3,8,7,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[3,6,8,1,2,5,7,4]=>[6,3,1,8,7,4,2,5]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[3,7,2,4,8,1,6,5]=>[6,2,7,5,1,8,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[4,6,3,8,1,2,5,7]=>[5,3,6,1,8,7,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,6,3,7,1,2,5,8]=>[5,3,6,2,8,7,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,1,7,8,2,3,6,5]=>[5,8,2,1,7,6,3,4]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[5,3,8,1,6,2,4,7]=>[4,6,1,8,3,7,5,2]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[6,1,7,5,2,3,4,8]=>[3,8,2,4,7,6,5,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[6,8,2,7,1,4,5,3]=>[3,1,7,2,8,5,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[3,8,7,1,2,4,6,5]=>[6,1,2,8,7,5,3,4]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[5,8,7,1,2,4,6,3]=>[4,1,2,8,7,5,3,6]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[5,8,6,4,1,2,3,7]=>[4,1,3,5,8,7,6,2]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[7,8,4,1,2,5,3,6]=>[2,1,5,8,7,4,6,3]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[7,8,1,2,6,5,3,4]=>[2,1,8,7,3,4,6,5]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[1,4,8,2,7,5,3,6]=>[8,5,1,7,2,4,6,3]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[6,1,3,4,7,2,5,8]=>[3,8,6,5,2,7,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[7,8,2,1,6,3,5,4]=>[2,1,7,8,3,6,4,5]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[6,1,2,7,5,4,3,8]=>[3,8,7,2,4,5,6,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[5,1,7,3,6,4,8,2]=>[4,8,2,6,3,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[6,2,1,5,7,4,3,8]=>[3,7,8,4,2,5,6,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[3,4,8,7,5,6,1,2]=>[6,5,1,2,4,3,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,8,3,7,6,4,5,2]=>[8,1,6,2,3,5,4,7]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[5,3,1,4,6,2,7,8]=>[4,6,8,5,3,7,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[5,1,2,4,7,6,8,3]=>[4,8,7,5,2,3,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[4,1,7,8,2,6,3,5]=>[5,8,2,1,7,3,6,4]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[1,2,8,7,6,5,3,4]=>[8,7,1,2,3,4,6,5]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[3,1,2,4,6,8,7,5]=>[6,8,7,5,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[4,2,8,1,5,3,7,6]=>[5,7,1,8,4,6,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[4,3,8,5,7,6,1,2]=>[5,6,1,4,2,3,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[3,8,6,5,2,7,1,4]=>[6,1,3,4,7,2,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[3,8,5,6,1,7,4,2]=>[6,1,4,3,8,2,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,7,8,5,2,1,6,4]=>[6,2,1,4,7,8,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[2,8,1,7,4,6,5,3]=>[7,1,8,2,5,3,4,6]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[2,8,7,5,1,6,4,3]=>[7,1,2,4,8,3,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[2,8,6,7,5,1,4,3]=>[7,1,3,2,4,8,5,6]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[5,1,3,4,6,7,2,8]=>[4,8,6,5,3,2,7,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[1,3,4,8,7,5,2,6]=>[8,6,5,1,2,4,7,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[8,2,4,1,7,3,5,6]=>[1,7,5,8,2,6,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[8,6,1,4,2,3,7,5]=>[1,3,8,5,7,6,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[3,6,1,4,2,8,7,5]=>[6,3,8,5,7,1,2,4]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[1,6,8,4,3,7,2,5]=>[8,3,1,5,6,2,7,4]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[3,1,4,7,8,5,2,6]=>[6,8,5,2,1,4,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[6,1,7,4,3,8,2,5]=>[3,8,2,5,6,1,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[1,8,7,4,3,6,2,5]=>[8,1,2,5,6,3,7,4]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[7,4,1,3,8,2,6,5]=>[2,5,8,6,1,7,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[4,8,2,3,1,5,7,6]=>[5,1,7,6,8,4,2,3]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[4,8,6,2,1,3,7,5]=>[5,1,3,7,8,6,2,4]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[2,7,4,1,8,3,5,6]=>[7,2,5,8,1,6,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[1,7,8,4,2,3,6,5]=>[8,2,1,5,7,6,3,4]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[4,7,1,3,8,2,6,5]=>[5,2,8,6,1,7,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[8,7,1,3,4,2,6,5]=>[1,2,8,6,5,7,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,7,4,3,6,2,8,5]=>[8,2,5,6,3,7,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[3,8,4,6,5,2,1,7]=>[6,1,5,3,4,7,8,2]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[2,4,3,7,5,8,1,6]=>[7,5,6,2,4,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,4,7,3,6,2,8,5]=>[8,5,2,6,3,7,1,4]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[1,8,3,4,2,6,7,5]=>[8,1,6,5,7,3,2,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[6,4,1,3,7,2,8,5]=>[3,5,8,6,2,7,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,1,4,3,6,2,7,5]=>[1,8,5,6,3,7,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[4,2,3,8,5,7,1,6]=>[5,7,6,1,4,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[2,8,5,7,3,4,1,6]=>[7,1,4,2,6,5,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[5,8,2,6,4,3,1,7]=>[4,1,7,3,5,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[7,2,5,8,4,3,1,6]=>[2,7,4,1,5,6,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[4,2,3,5,8,7,1,6]=>[5,7,6,4,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[8,2,3,5,4,7,1,6]=>[1,7,6,4,5,2,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,1,8,3,4,2,7,5]=>[3,8,1,6,5,7,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[1,8,6,4,2,3,7,5]=>[8,1,3,5,7,6,2,4]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[3,8,4,5,6,2,1,7]=>[6,1,5,4,3,7,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[2,4,3,5,7,8,1,6]=>[7,5,6,4,2,1,8,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[3,8,6,5,4,2,1,7]=>[6,1,3,4,5,7,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[7,1,4,5,3,2,6,8]=>[2,8,5,4,6,7,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[1,8,4,2,6,5,3,7]=>[8,1,5,7,3,4,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[5,1,4,8,6,3,2,7]=>[4,8,5,1,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[5,3,1,8,4,7,2,6]=>[4,6,8,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[7,1,4,2,6,5,3,8]=>[2,8,5,7,3,4,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[3,8,4,1,6,5,2,7]=>[6,1,5,8,3,4,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[8,7,2,4,5,1,6,3]=>[1,2,7,5,4,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,1,5,4,8,6,3,2]=>[2,8,4,5,1,3,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[2,7,5,4,8,6,3,1]=>[7,2,4,5,1,3,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[2,1,8,7,5,3,6,4]=>[7,8,1,2,4,6,3,5]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[5,6,3,1,8,4,7,2]=>[4,3,6,8,1,5,2,7]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[2,6,7,4,5,8,3,1]=>[7,3,2,5,4,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,3,7,4,8,6,2,1]=>[4,6,2,5,1,3,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[7,5,8,4,1,6,3,2]=>[2,4,1,5,8,3,6,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[2,7,8,4,5,1,6,3]=>[7,2,1,5,4,8,3,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[6,8,3,1,2,5,7,4]=>[3,1,6,8,7,4,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[8,5,1,7,2,6,4,3]=>[1,4,8,2,7,3,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,7,1,4,5,2,6,3]=>[1,2,8,5,4,7,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,6,3,1,5,2,8,4]=>[2,3,6,8,4,7,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,5,1,8,2,6,3,4]=>[2,4,8,1,7,3,6,5]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[8,7,3,1,5,4,2,6]=>[1,2,6,8,4,5,7,3]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,4,2,6,1,3,8,7]=>[4,5,7,3,8,6,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[3,2,6,5,1,4,8,7]=>[6,7,3,4,8,5,1,2]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[2,5,8,1,7,4,3,6]=>[7,4,1,8,2,5,6,3]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[6,8,2,7,4,3,1,5]=>[3,1,7,2,5,6,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[6,8,2,3,7,5,1,4]=>[3,1,7,6,2,4,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[4,2,3,7,1,5,8,6]=>[5,7,6,2,8,4,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[5,2,7,3,8,6,1,4]=>[4,7,2,6,1,3,8,5]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[2,1,5,8,4,3,7,6]=>[7,8,4,1,5,6,2,3]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[5,8,4,2,6,7,1,3]=>[4,1,5,7,3,2,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[2,4,8,3,1,7,5,6]=>[7,5,1,6,8,2,4,3]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[4,8,3,2,1,7,6,5]=>[5,1,6,7,8,2,3,4]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[5,1,7,4,6,8,3,2]=>[4,8,2,5,3,1,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[7,6,4,8,1,5,3,2]=>[2,3,5,1,8,4,6,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[2,4,3,8,7,1,5,6]=>[7,5,6,1,2,8,4,3]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[3,4,1,8,6,2,7,5]=>[6,5,8,1,3,7,2,4]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[3,8,5,4,2,1,7,6]=>[6,1,4,5,7,8,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[3,2,8,7,5,4,1,6]=>[6,7,1,2,4,5,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[2,8,6,5,4,3,1,7]=>[7,1,3,4,5,6,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[8,5,2,7,3,1,4,6]=>[1,4,7,2,6,8,5,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,3,6,5,2,8,4,1]=>[2,6,3,4,7,1,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[8,7,5,3,1,4,2,6]=>[1,2,4,6,8,5,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,1,5,3,8,4,6,2]=>[2,8,4,6,1,5,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[5,8,3,7,2,1,4,6]=>[4,1,6,2,7,8,5,3]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[3,8,7,4,2,1,5,6]=>[6,1,2,5,7,8,4,3]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[8,1,6,3,2,4,5,7]=>[1,8,3,6,7,5,4,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[5,7,1,4,8,3,6,2]=>[4,2,8,5,1,6,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[7,6,1,5,8,3,4,2]=>[2,3,8,4,1,6,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,6,7,5,1,3,2,4]=>[1,3,2,4,8,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[5,4,2,6,8,3,7,1]=>[4,5,7,3,1,6,2,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[7,4,2,8,1,3,6,5]=>[2,5,7,1,8,6,3,4]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[2,7,8,4,5,1,3,6]=>[7,2,1,5,4,8,6,3]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[4,8,1,2,5,3,6,7]=>[5,1,8,7,4,6,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,1,2,4,3,5,6,7]=>[1,8,7,5,6,4,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[5,8,7,4,6,3,2,1]=>[4,1,2,5,3,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[4,8,7,6,3,5,2,1]=>[5,1,2,3,6,4,7,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[3,8,7,6,5,2,4,1]=>[6,1,2,3,4,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[5,8,4,7,6,3,2,1]=>[4,1,5,2,3,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[6,8,5,4,7,3,2,1]=>[3,1,4,5,2,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[3,8,7,6,2,5,4,1]=>[6,1,2,3,7,4,5,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[4,8,7,6,3,2,5,1]=>[5,1,2,3,6,7,4,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[3,8,7,6,5,2,1,4]=>[6,1,2,3,4,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[7,5,8,4,6,3,1,2]=>[2,4,1,5,3,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[9,7,10,5,8,3,6,2,4,1]=>[2,4,1,6,3,8,5,9,7,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,2,2,2,1]
[7,6,8,2,5,1,4,3]=>[2,3,1,7,4,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>[3,2,2,1]
[9,8,10,6,7,4,5,2,3,1]=>[2,3,1,5,4,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,2,2,2,1]
[3,5,2,4,7,6,1,8]=>[6,4,7,5,2,3,8,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[3,5,4,7,2,6,1,8]=>[6,4,5,2,7,3,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,5,4,7,6,1,2,8]=>[6,4,5,2,3,8,7,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[3,5,4,7,6,1,8,2]=>[6,4,5,2,3,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[3,5,7,4,6,1,2,8]=>[6,4,2,5,3,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[3,5,2,7,6,4,1,8]=>[6,4,7,2,3,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,5,7,2,6,4,1,8]=>[6,4,2,7,3,5,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,3,7,6,2,4,1,8]=>[4,6,2,3,7,5,8,1]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,5,7,2,6,1,4,8]=>[6,4,2,7,3,8,5,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[3,5,2,7,6,1,4,8]=>[6,4,7,2,3,8,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[3,7,5,4,1,8,6,2]=>[6,2,4,5,8,1,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,5,7,1,2,6,8,4]=>[6,4,2,8,7,3,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[5,3,7,1,6,2,4,8]=>[4,6,2,8,3,7,5,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[3,5,7,1,4,6,8,2]=>[6,4,2,8,5,3,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[3,5,2,7,1,4,6,8]=>[6,4,7,2,8,5,3,1]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[3,2,5,7,4,1,6,8]=>[6,7,4,2,5,8,3,1]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[3,5,2,7,4,1,6,8]=>[6,4,7,2,5,8,3,1]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[3,5,4,7,2,1,8,6]=>[6,4,5,2,7,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[5,7,6,3,1,8,4,2]=>[4,2,3,6,8,1,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,5,2,7,1,4,8,6]=>[6,4,7,2,8,5,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,5,7,2,1,4,8,6]=>[6,4,2,7,8,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[3,7,5,2,1,8,6,4]=>[6,2,4,7,8,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,7,2,5,1,8,6,4]=>[6,2,7,4,8,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[3,2,7,5,1,8,4,6]=>[6,7,2,4,8,1,5,3]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[6,3,2,7,4,1,8,5]=>[3,6,7,2,5,8,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[2,1,7,5,8,4,6,3]=>[7,8,2,4,1,5,3,6]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[2,7,3,6,8,4,1,5]=>[7,2,6,3,1,5,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,1,7,2,4,8,3,6]=>[4,8,2,7,5,1,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[3,5,8,7,2,1,6,4]=>[6,4,1,2,7,8,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[2,3,4,5,6,7,1,9,8]=>[8,7,6,5,4,3,9,1,2]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[6,2,1]
[3,1,4,5,6,7,8,2,9]=>[7,9,6,5,4,3,2,8,1]=>[[1,2],[3,8],[4],[5],[6],[7],[9]]=>[7,2]
[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[5,8,7,2,4,1,6,3]=>[4,1,2,7,5,8,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[3,8,6,4,1,7,5,2]=>[6,1,3,5,8,2,4,7]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[4,3,5,6,8,1,7,2]=>[5,6,4,3,1,8,2,7]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[3,7,6,4,1,8,5,2]=>[6,2,3,5,8,1,4,7]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,7,4,1,8,6,5,2]=>[6,2,5,8,1,3,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[3,8,4,1,7,6,5,2]=>[6,1,5,8,2,3,4,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[3,2,7,6,1,5,4,8]=>[6,7,2,3,8,4,5,1]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,2,8,7,6,1,5,4]=>[6,7,1,2,3,8,4,5]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[5,7,8,2,4,1,6,3]=>[4,2,1,7,5,8,3,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[4,2,5,8,1,6,7,3]=>[5,7,4,1,8,3,2,6]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[4,2,5,8,1,7,3,6]=>[5,7,4,1,8,2,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[5,8,2,4,1,6,3,7]=>[4,1,7,5,8,3,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[8,4,2,6,5,1,3,7]=>[1,5,7,3,4,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[3,2,6,8,1,5,4,7]=>[6,7,3,1,8,4,5,2]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[8,3,2,5,6,1,4,7]=>[1,6,7,4,3,8,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[3,2,8,6,7,1,5,4]=>[6,7,1,3,2,8,4,5]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[3,2,6,8,7,1,5,4]=>[6,7,3,1,2,8,4,5]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[3,2,6,7,1,5,4,8]=>[6,7,3,2,8,4,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[8,7,3,2,5,6,1,4]=>[1,2,6,7,4,3,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,2,8,1,5,3,6,4]=>[2,7,1,8,4,6,3,5]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[8,4,2,7,5,1,3,6]=>[1,5,7,2,4,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,4,2,8,5,1,3,6]=>[2,5,7,1,4,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,2,4,1,8,3,6,5]=>[2,7,5,8,1,6,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[3,2,8,5,7,1,4,6]=>[6,7,1,4,2,8,5,3]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[2,5,1,8,7,4,3,6]=>[7,4,8,1,2,5,6,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[5,4,7,6,8,2,3,1]=>[4,5,2,3,1,7,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[4,1,8,2,3,7,6,5]=>[5,8,1,7,6,2,3,4]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,7,4,8,6,1,3,2]=>[4,2,5,1,3,8,6,7]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,4,2,7,3,5,8,1]=>[3,5,7,2,6,4,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[6,5,4,8,7,3,1,2]=>[3,4,5,1,2,6,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[8,7,4,2,1,3,6,5]=>[1,2,5,7,8,6,3,4]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,8,2,3,1,7,5,4]=>[3,1,7,6,8,2,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[8,3,7,2,1,5,6,4]=>[1,6,2,7,8,4,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[5,7,8,2,4,3,1,6]=>[4,2,1,7,5,6,8,3]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[8,3,1,6,7,4,2,5]=>[1,6,8,3,2,5,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[3,2,5,7,4,8,1,6]=>[6,7,4,2,5,1,8,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[7,1,6,3,5,8,2,4]=>[2,8,3,6,4,1,7,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[2,8,5,6,7,1,4,3]=>[7,1,4,3,2,8,5,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,5,2,7,8,6,4,3]=>[8,4,7,2,1,3,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,6,8,5,1,4,7,3]=>[7,3,1,4,8,5,2,6]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[5,7,6,2,1,3,8,4]=>[4,2,3,7,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[2,5,8,7,4,1,6,3]=>[7,4,1,2,5,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[4,1,7,5,2,6,8,3]=>[5,8,2,4,7,3,1,6]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[7,6,2,4,5,1,8,3]=>[2,3,7,5,4,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,3,4,2,5,8,6,1]=>[2,6,5,7,4,1,3,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[8,1,4,5,2,6,7,3]=>[1,8,5,4,7,3,2,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[8,5,6,2,1,3,7,4]=>[1,4,3,7,8,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[4,2,1,5,6,7,8,3]=>[5,7,8,4,3,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[3,4,6,5,1,7,8,2]=>[6,5,3,4,8,2,1,7]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[7,3,5,2,4,6,1,8]=>[2,6,4,7,5,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,7,3,2,4,6,1,8]=>[4,2,6,7,5,3,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[5,7,3,2,4,1,6,8]=>[4,2,6,7,5,8,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[5,1,3,2,7,4,6,8]=>[4,8,6,7,2,5,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[3,2,7,5,1,4,6,8]=>[6,7,2,4,8,5,3,1]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[5,7,3,1,2,4,6,8]=>[4,2,6,8,7,5,3,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[1,5,3,7,2,4,6,8]=>[8,4,6,2,7,5,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[5,3,2,7,4,1,6,8]=>[4,6,7,2,5,8,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[5,3,2,4,7,1,6,8]=>[4,6,7,5,2,8,3,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[5,3,2,1,4,7,6,8]=>[4,6,7,8,5,2,3,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[5,3,2,1,7,4,6,8]=>[4,6,7,8,2,5,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,3,7,2,5,4,6,8]=>[8,6,2,7,4,5,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[3,7,2,1,5,4,6,8]=>[6,2,7,8,4,5,3,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[3,2,1,7,5,4,6,8]=>[6,7,8,2,4,5,3,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[3,1,2,7,5,4,6,8]=>[6,8,7,2,4,5,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[3,1,7,2,5,4,6,8]=>[6,8,2,7,4,5,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[1,9,2,8,7,6,5,4,3]=>[9,1,8,2,3,4,5,6,7]=>[[1,3,5,6,7,8,9],[2],[4]]=>[2,2,5]
[3,9,8,7,6,5,2,1,4]=>[7,1,2,3,4,5,8,9,6]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[1,8,7,4,2,6,5,3]=>[8,1,2,5,7,3,4,6]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[2,8,5,1,7,6,4,3]=>[7,1,4,8,2,3,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[6,8,5,1,2,7,4,3]=>[3,1,4,8,7,2,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[3,10,9,8,7,6,5,2,1,4]=>[8,1,2,3,4,5,6,9,10,7]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[1,9,8,7,6,3,2,5,4]=>[9,1,2,3,4,7,8,5,6]=>[[1,3,4,5,6,7],[2,9],[8]]=>[2,6,1]
[4,9,8,7,6,3,2,1,5]=>[6,1,2,3,4,7,8,9,5]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[2,8,1,4,7,6,5,3]=>[7,1,8,5,2,3,4,6]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[1,8,7,4,3,2,6,5]=>[8,1,2,5,6,7,3,4]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,8,5,4,2,7,6,3]=>[8,1,4,5,7,2,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[9,2,1,10,8,7,6,5,4,3]=>[2,9,10,1,3,4,5,6,7,8]=>[[1,2,3,7,8,9,10],[4,5,6]]=>[4,6]
[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,5,6,3,7,4,2,1]=>[1,4,3,6,2,5,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[8,5,6,2,7,4,3,1]=>[1,4,3,7,2,5,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[8,7,6,3,4,1,5,2]=>[1,2,3,6,5,8,4,7]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,7,2,3,6,8,5,4]=>[8,2,7,6,3,1,4,5]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[1,7,5,4,8,2,6,3]=>[8,2,4,5,1,7,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[3,6,4,2,8,7,1,5]=>[6,3,5,7,1,2,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[1,6,4,3,8,5,2,7]=>[8,3,5,6,1,4,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[7,6,5,8,2,4,3,1]=>[2,3,4,1,7,5,6,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[7,6,5,8,3,1,4,2]=>[2,3,4,1,6,8,5,7]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[2,6,4,3,8,1,7,5]=>[7,3,5,6,1,8,2,4]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,6,4,3,8,5,7,1]=>[7,3,5,6,1,4,2,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[7,1,5,6,3,8,4,2]=>[2,8,4,3,6,1,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,2,3,1,4,8,6,5]=>[2,7,6,8,5,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,2,3,5,4,8,6,1]=>[2,7,6,4,5,1,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[2,5,6,4,8,3,1,7]=>[7,4,3,5,1,6,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[3,5,6,1,4,7,8,2]=>[6,4,3,8,5,2,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[7,1,3,2,4,8,5,6]=>[2,8,6,7,5,1,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[1,6,4,5,8,3,2,7]=>[8,3,5,4,1,6,7,2]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[7,6,5,8,1,3,2,4]=>[2,3,4,1,8,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[3,4,6,8,7,2,1,5]=>[6,5,3,1,2,7,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[3,5,6,8,2,1,7,4]=>[6,4,3,1,7,8,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,2,1,5,3,7,8,6]=>[5,7,8,4,6,2,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[4,2,5,6,3,1,8,7]=>[5,7,4,3,6,8,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[3,5,6,8,1,7,2,4]=>[6,4,3,1,8,2,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,1,5,6,3,2,8,7]=>[5,8,4,3,6,7,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[4,5,3,1,7,2,8,6]=>[5,4,6,8,2,7,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[4,1,3,5,2,7,8,6]=>[5,8,6,4,7,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[2,5,4,7,3,8,6,1]=>[7,4,5,2,6,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,5,7,1,8,4,2,6]=>[6,4,2,8,1,5,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,1,5,3,2,7,8,6]=>[5,8,4,6,7,2,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[4,5,3,7,1,2,8,6]=>[5,4,6,2,8,7,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[4,3,6,1,2,7,5,8]=>[5,6,3,8,7,2,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[5,1,3,2,4,6,7,8]=>[4,8,6,7,5,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[3,6,1,7,4,5,2,8]=>[6,3,8,2,5,4,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[5,1,3,4,2,6,7,8]=>[4,8,6,5,7,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[5,3,1,4,2,6,7,8]=>[4,6,8,5,7,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[4,5,2,3,7,1,8,6]=>[5,4,7,6,2,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,2,6,1,3,7,5,8]=>[5,7,3,8,6,2,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[4,6,2,1,3,7,5,8]=>[5,3,7,8,6,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[3,6,2,1,7,4,8,5]=>[6,3,7,8,2,5,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[3,1,4,7,6,5,2,8]=>[6,8,5,2,3,4,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,6,2,7,1,5,8,4]=>[6,3,7,2,8,4,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[4,6,2,7,1,3,5,8]=>[5,3,7,2,8,6,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[3,5,7,1,8,2,6,4]=>[6,4,2,8,1,7,3,5]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,1,4,2,3,6,7,8]=>[4,8,5,7,6,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[3,6,1,7,2,5,8,4]=>[6,3,8,2,7,4,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,6,5,3,4,7,8,1]=>[7,3,4,6,5,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[3,6,1,7,5,4,2,8]=>[6,3,8,2,4,5,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[5,1,4,3,2,6,7,8]=>[4,8,5,6,7,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[5,4,1,3,2,6,7,8]=>[4,5,8,6,7,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[6,4,2,5,3,8,1,7]=>[3,5,7,4,6,1,8,2]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,2,4,5,1,8,3,7]=>[3,7,5,4,8,1,6,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[8,2,6,7,1,4,5,3]=>[1,7,3,2,8,5,4,6]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[4,6,2,3,5,8,1,7]=>[5,3,7,6,4,1,8,2]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[2,6,4,1,5,8,3,7]=>[7,3,5,8,4,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,8,1,6,7,4,5,3]=>[7,1,8,3,2,5,4,6]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[2,8,1,6,4,7,5,3]=>[7,1,8,3,5,2,4,6]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[6,4,5,2,8,3,1,7]=>[3,5,4,7,1,6,8,2]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[4,2,3,6,1,8,5,7]=>[5,7,6,3,8,1,4,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[4,2,3,8,6,1,7,5]=>[5,7,6,1,3,8,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[8,6,7,2,4,5,1,3]=>[1,3,2,7,5,4,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[4,2,8,3,1,6,7,5]=>[5,7,1,6,8,3,2,4]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[2,4,8,1,3,6,7,5]=>[7,5,1,8,6,3,2,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[2,4,1,8,3,6,7,5]=>[7,5,8,1,6,3,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[6,4,8,2,5,3,7,1]=>[3,5,1,7,4,6,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[8,6,2,4,7,5,1,3]=>[1,3,7,5,2,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[4,6,8,2,3,5,7,1]=>[5,3,1,7,6,4,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[2,8,1,4,6,7,3,5]=>[7,1,8,5,3,2,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[4,8,6,2,3,7,5,1]=>[5,1,3,7,6,2,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[8,4,2,6,7,3,1,5]=>[1,5,7,3,2,6,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[1,6,7,5,3,4,8,2]=>[8,3,2,4,6,5,1,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,4,7,3,5,8,6,1]=>[7,5,2,6,4,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,5,3,7,1,8,4,6]=>[7,4,6,2,8,1,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[5,8,4,1,3,7,6,2]=>[4,1,5,8,6,2,3,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,4,5,3,8,1,7,2]=>[3,5,4,6,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[4,5,1,3,6,2,8,7]=>[5,4,8,6,3,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[3,4,7,6,8,1,2,5]=>[6,5,2,3,1,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[3,5,2,4,6,1,8,7]=>[6,4,7,5,3,8,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,2,5,1,6,8,3,7]=>[5,7,4,8,3,1,6,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,3,8,6,5,7,1,2]=>[5,6,1,3,4,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[1,3,7,2,6,5,8,4]=>[8,6,2,7,3,4,1,5]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,3,6,4,2,5,8,7]=>[8,6,3,5,7,4,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,5,4,7,3,6,8,2]=>[8,4,5,2,6,3,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,5,3,4,8,2,1,6]=>[2,4,6,5,1,7,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[7,4,3,8,5,2,6,1]=>[2,5,6,1,4,7,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[1,5,3,7,6,8,4,2]=>[8,4,6,2,3,1,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,6,3,7,8,2,4,5]=>[8,3,6,2,1,7,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[4,2,6,7,5,8,1,3]=>[5,7,3,2,4,1,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[5,1,8,3,6,4,7,2]=>[4,8,1,6,3,5,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[3,6,8,5,7,2,1,4]=>[6,3,1,4,2,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,8,5,6,1,7,2,4]=>[6,1,4,3,8,2,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[4,7,6,8,5,1,3,2]=>[5,2,3,1,4,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[1,8,4,6,7,2,5,3]=>[8,1,5,3,2,7,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[7,4,5,8,6,1,3,2]=>[2,5,4,1,3,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[6,4,8,3,1,7,5,2]=>[3,5,1,6,8,2,4,7]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[3,6,5,8,7,1,4,2]=>[6,3,4,1,2,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,6,3,8,2,7,5,1]=>[5,3,6,1,7,2,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[6,4,8,1,3,7,5,2]=>[3,5,1,8,6,2,4,7]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,2,8,3,4,7,5,1]=>[3,7,1,6,5,2,4,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[7,8,4,2,5,3,1,6]=>[2,1,5,7,4,6,8,3]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[4,2,7,8,5,3,1,6]=>[5,7,2,1,4,6,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[6,3,1,7,5,2,4,8]=>[3,6,8,2,4,7,5,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[6,3,1,8,7,5,2,4]=>[3,6,8,1,2,4,7,5]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,6,3,1,7,5,2,4]=>[1,3,6,8,2,4,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[4,2,7,6,3,1,8,5]=>[5,7,2,3,6,8,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[7,6,3,1,8,4,2,5]=>[2,3,6,8,1,5,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[7,6,4,2,1,8,3,5]=>[2,3,5,7,8,1,6,4]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,8,2,7,6,4,3,5]=>[8,1,7,2,3,5,6,4]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[8,3,5,7,6,4,2,1]=>[1,6,4,2,3,5,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[8,4,2,5,7,6,3,1]=>[1,5,7,4,2,3,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[7,5,2,4,6,3,1,8]=>[2,4,7,5,3,6,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[8,3,6,4,7,5,2,1]=>[1,6,3,5,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[1,8,2,7,5,3,6,4]=>[8,1,7,2,4,6,3,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[7,5,2,1,8,3,6,4]=>[2,4,7,8,1,6,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[7,5,2,6,3,1,8,4]=>[2,4,7,3,6,8,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[5,2,7,4,1,8,6,3]=>[4,7,2,5,8,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[8,7,4,1,5,2,6,3]=>[1,2,5,8,4,7,3,6]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,4,1,5,2,8,6,3]=>[2,5,8,4,7,1,3,6]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[7,5,2,8,6,3,1,4]=>[2,4,7,1,3,6,8,5]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,7,5,2,1,3,6,4]=>[1,2,4,7,8,6,3,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,5,2,1,3,8,6,4]=>[2,4,7,8,6,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,3,7,6,5,8,2,4]=>[8,6,2,3,4,1,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,4,8,7,5,2,1,3]=>[3,5,1,2,4,7,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[6,4,7,5,2,1,3,8]=>[3,5,2,4,7,8,6,1]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,3,1,4,7,5,2,8]=>[3,6,8,5,2,4,7,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[6,3,1,4,8,7,5,2]=>[3,6,8,5,1,2,4,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[1,8,2,5,7,6,4,3]=>[8,1,7,4,2,3,5,6]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[1,8,2,6,4,7,5,3]=>[8,1,7,3,5,2,4,6]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,3,8,7,4,1,5,2]=>[3,6,1,2,5,8,4,7]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[8,4,6,3,1,7,5,2]=>[1,5,3,6,8,2,4,7]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[8,6,3,5,2,7,4,1]=>[1,3,6,4,7,2,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[4,5,7,2,6,3,1,8]=>[5,4,2,7,3,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,5,8,4,6,1,7,2]=>[6,4,1,5,3,8,2,7]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[5,7,4,2,6,3,1,8]=>[4,2,5,7,3,6,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[1,4,5,8,2,7,3,6]=>[8,5,4,1,7,2,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[2,4,5,8,1,6,7,3]=>[7,5,4,1,8,3,2,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[8,3,4,7,1,6,5,2]=>[1,6,5,2,8,3,4,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[8,3,4,6,5,1,7,2]=>[1,6,5,3,4,8,2,7]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[4,1,7,3,5,2,6,8]=>[5,8,2,6,4,7,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[3,1,6,8,2,7,4,5]=>[6,8,3,1,7,2,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,8,2,3,1,6,7,5]=>[5,1,7,6,8,3,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[3,2,6,8,1,5,7,4]=>[6,7,3,1,8,4,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[8,2,6,1,5,4,7,3]=>[1,7,3,8,4,5,2,6]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,6,2,7,1,5,4,3]=>[1,3,7,2,8,4,5,6]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[7,6,8,3,1,5,4,2]=>[2,3,1,6,8,4,5,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[6,3,7,2,8,1,5,4]=>[3,6,2,7,1,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[4,5,6,8,3,1,7,2]=>[5,4,3,1,6,8,2,7]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[8,4,6,5,3,1,7,2]=>[1,5,3,4,6,8,2,7]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[5,6,4,8,3,1,7,2]=>[4,3,5,1,6,8,2,7]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,8,1,6,2,3,7,5]=>[5,1,8,3,7,6,2,4]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,8,1,2,4,3,6,5]=>[2,1,8,7,5,6,3,4]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[4,8,3,1,2,5,7,6]=>[5,1,6,8,7,4,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[4,1,3,6,5,7,8,2]=>[5,8,6,3,4,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[8,1,4,3,5,7,6,2]=>[1,8,5,6,4,2,3,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[5,2,4,1,3,7,8,6]=>[4,7,5,8,6,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,3,2,1,5,7,6,4]=>[1,6,7,8,4,2,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[2,7,6,3,1,8,4,5]=>[7,2,3,6,8,1,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[3,8,6,5,7,1,4,2]=>[6,1,3,4,2,8,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[8,1,5,4,7,2,6,3]=>[1,8,4,5,2,7,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[2,1,4,7,5,8,3,6]=>[7,8,5,2,4,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[6,3,5,8,7,4,1,2]=>[3,6,4,1,2,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[1,4,8,7,3,5,6,2]=>[8,5,1,2,6,4,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[8,1,7,6,3,5,4,2]=>[1,8,2,3,6,4,5,7]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[3,8,7,5,6,4,2,1]=>[6,1,2,4,3,5,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[2,8,7,6,4,5,3,1]=>[7,1,2,3,5,4,6,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[1,8,7,6,5,3,4,2]=>[8,1,2,3,4,6,5,7]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[4,6,7,2,5,3,1,8]=>[5,3,2,7,4,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,6,7,4,8,1,5,2]=>[6,3,2,5,1,8,4,7]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,8,5,7,6,1,4,2]=>[6,1,4,2,3,8,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[1,4,7,8,2,6,5,3]=>[8,5,2,1,7,3,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,4,7,8,1,6,5,3]=>[7,5,2,1,8,3,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[3,1,7,8,2,6,5,4]=>[6,8,2,1,7,3,4,5]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,1,3,8,2,7,5,4]=>[3,8,6,1,7,2,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[5,1,8,4,2,7,6,3]=>[4,8,1,5,7,2,3,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[6,8,3,7,1,5,4,2]=>[3,1,6,2,8,4,5,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[2,7,3,8,1,6,5,4]=>[7,2,6,1,8,3,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,6,8,4,1,7,5,3]=>[7,3,1,5,8,2,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[4,5,8,6,3,1,7,2]=>[5,4,1,3,6,8,2,7]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,6,7,1,2,8,5,3]=>[5,3,2,8,7,1,4,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,6,1,8,2,7,5,4]=>[6,3,8,1,7,2,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[5,7,4,1,2,8,6,3]=>[4,2,5,8,7,1,3,6]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[8,1,5,6,3,2,4,7]=>[1,8,4,3,6,7,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[1,7,8,3,5,2,4,6]=>[8,2,1,6,4,7,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[8,5,3,7,2,4,6,1]=>[1,4,6,2,7,5,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[1,7,8,5,4,3,2,6]=>[8,2,1,4,5,6,7,3]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[2,6,8,7,4,3,5,1]=>[7,3,1,2,5,6,4,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[1,2,6,7,8,4,3,5]=>[8,7,3,2,1,5,6,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[2,1,7,8,4,5,3,6]=>[7,8,2,1,5,4,6,3]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[3,7,8,2,1,5,4,6]=>[6,2,1,7,8,4,5,3]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[8,5,1,4,7,3,6,2]=>[1,4,8,5,2,6,3,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[3,6,8,4,7,1,5,2]=>[6,3,1,5,2,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,6,4,8,2,7,5,1]=>[6,3,5,1,7,2,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[8,7,1,5,6,3,2,4]=>[1,2,8,4,3,6,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,7,2,4,6,5,3,1]=>[1,2,7,5,3,4,6,8]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[1,7,8,2,6,4,5,3]=>[8,2,1,7,3,5,4,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[8,7,3,2,1,5,6,4]=>[1,2,6,7,8,4,3,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,2,6,7,3,1,5,4]=>[1,7,3,2,6,8,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[2,7,1,8,4,6,5,3]=>[7,2,8,1,5,3,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[8,7,6,1,4,5,3,2]=>[1,2,3,8,5,4,6,7]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[4,8,1,2,3,7,5,6]=>[5,1,8,7,6,2,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[1,8,2,3,6,5,4,7]=>[8,1,7,6,3,4,5,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[3,5,8,4,7,2,6,1]=>[6,4,1,5,2,7,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,8,5,4,6,2,3,7]=>[8,1,4,5,3,7,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[3,8,5,4,6,1,2,7]=>[6,1,4,5,3,8,7,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[3,8,5,1,6,4,2,7]=>[6,1,4,8,3,5,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,8,5,4,6,1,3,7]=>[7,1,4,5,3,8,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,8,5,4,6,3,1,7]=>[7,1,4,5,3,6,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[1,8,5,4,6,3,2,7]=>[8,1,4,5,3,6,7,2]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[2,5,8,4,7,3,6,1]=>[7,4,1,5,2,6,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,6,4,2,7,8,5,1]=>[6,3,5,7,2,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[3,5,4,1,6,2,7,8]=>[6,4,5,8,3,7,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[4,5,8,1,7,6,2,3]=>[5,4,1,8,2,3,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[3,5,8,4,7,1,6,2]=>[6,4,1,5,2,8,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,5,8,4,7,3,6,2]=>[8,4,1,5,2,6,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,6,4,1,7,8,5,2]=>[6,3,5,8,2,1,4,7]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[3,6,4,8,7,5,2,1]=>[6,3,5,1,2,4,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,6,4,3,7,8,5,2]=>[8,3,5,6,2,1,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[7,1,3,4,8,6,5,2]=>[2,8,6,5,1,3,4,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[7,6,1,3,8,4,2,5]=>[2,3,8,6,1,5,7,4]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[1,6,4,2,7,8,3,5]=>[8,3,5,7,2,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,6,4,3,7,1,8,5]=>[7,3,5,6,2,8,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,6,4,1,7,8,3,5]=>[7,3,5,8,2,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[7,2,3,4,8,6,5,1]=>[2,7,6,5,1,3,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[7,2,3,1,8,6,4,5]=>[2,7,6,8,1,3,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[7,2,3,4,1,6,8,5]=>[2,7,6,5,8,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[1,2,4,3,8,5,7,6]=>[8,7,5,6,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[7,3,8,6,1,4,2,5]=>[2,6,1,3,8,5,7,4]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[7,2,8,6,3,4,1,5]=>[2,7,1,3,6,5,8,4]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[7,2,3,1,5,6,8,4]=>[2,7,6,8,4,3,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[7,2,3,8,1,6,5,4]=>[2,7,6,1,8,3,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[7,2,3,8,5,6,4,1]=>[2,7,6,1,4,3,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[2,6,4,8,7,1,5,3]=>[7,3,5,1,2,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[1,5,8,4,7,6,2,3]=>[8,4,1,5,2,3,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,5,8,1,6,7,2,4]=>[6,4,1,8,3,2,7,5]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[7,6,1,3,5,8,2,4]=>[2,3,8,6,4,1,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,1,3,2,5,6,8,4]=>[2,8,6,7,4,3,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[7,1,3,8,2,6,5,4]=>[2,8,6,1,7,3,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[7,6,1,8,5,4,2,3]=>[2,3,8,1,4,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,1,6,5,8,2,7,3]=>[5,8,3,4,1,7,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[3,1,6,5,8,4,7,2]=>[6,8,3,4,1,5,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[3,2,6,5,8,4,7,1]=>[6,7,3,4,1,5,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[4,3,7,1,6,5,8,2]=>[5,6,2,8,3,4,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,2,6,4,8,3,7,1]=>[4,7,3,5,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[5,1,6,4,8,3,7,2]=>[4,8,3,5,1,6,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[5,1,6,4,8,2,7,3]=>[4,8,3,5,1,7,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[4,3,7,5,8,1,6,2]=>[5,6,2,4,1,8,3,7]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[4,3,7,5,8,2,6,1]=>[5,6,2,4,1,7,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[5,3,7,4,8,2,6,1]=>[4,6,2,5,1,7,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[5,3,7,4,8,1,6,2]=>[4,6,2,5,1,8,3,7]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[5,4,8,1,6,2,7,3]=>[4,5,1,8,3,7,2,6]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[4,3,7,2,6,1,8,5]=>[5,6,2,7,3,8,1,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,3,7,1,5,2,8,6]=>[5,6,2,8,4,7,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[4,3,7,1,6,2,8,5]=>[5,6,2,8,3,7,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[5,4,8,2,6,3,7,1]=>[4,5,1,7,3,6,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,4,8,1,6,3,7,2]=>[4,5,1,8,3,6,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[4,1,7,5,2,3,6,8]=>[5,8,2,4,7,6,3,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[4,8,2,7,3,5,1,6]=>[5,1,7,2,6,4,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[7,2,4,1,6,5,8,3]=>[2,7,5,8,3,4,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,4,3,1,6,5,7,2]=>[1,5,6,8,3,4,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[7,5,8,4,3,1,6,2]=>[2,4,1,5,6,8,3,7]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[8,4,6,5,7,3,2,1]=>[1,5,3,4,2,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[2,8,4,7,6,3,5,1]=>[7,1,5,2,3,6,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[6,1,2,7,5,8,4,3]=>[3,8,7,2,4,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[7,1,2,6,5,8,4,3]=>[2,8,7,3,4,1,5,6]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[6,2,5,7,3,8,4,1]=>[3,7,4,2,6,1,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,8,3,2,5,7,6,1]=>[5,1,6,7,4,2,3,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[2,6,8,5,3,4,7,1]=>[7,3,1,4,6,5,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[6,8,5,3,4,7,2,1]=>[3,1,4,6,5,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[2,4,7,6,1,5,8,3]=>[7,5,2,3,8,4,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[8,2,6,7,5,1,4,3]=>[1,7,3,2,4,8,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[6,1,7,5,8,4,2,3]=>[3,8,2,4,1,5,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[6,8,4,1,5,3,7,2]=>[3,1,5,8,4,6,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[6,8,3,4,7,2,5,1]=>[3,1,6,5,2,7,4,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[8,3,4,7,6,2,5,1]=>[1,6,5,2,3,7,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[4,7,6,2,5,8,3,1]=>[5,2,3,7,4,1,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[1,8,3,5,2,6,7,4]=>[8,1,6,4,7,3,2,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[6,8,3,5,1,4,7,2]=>[3,1,6,4,8,5,2,7]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[1,7,2,6,5,8,4,3]=>[8,2,7,3,4,1,5,6]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[7,1,6,5,8,4,2,3]=>[2,8,3,4,1,5,7,6]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[6,8,5,4,2,3,7,1]=>[3,1,4,5,7,6,2,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[5,8,2,4,3,7,6,1]=>[4,1,7,5,6,2,3,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[3,4,5,8,2,7,6,1]=>[6,5,4,1,7,2,3,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,8,3,4,5,2,7,1]=>[3,1,6,5,4,7,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[7,4,6,3,2,8,5,1]=>[2,5,3,6,7,1,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[8,1,3,4,2,6,5,7]=>[1,8,6,5,7,3,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[8,1,2,4,5,3,7,6]=>[1,8,7,5,4,6,2,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[10,1,2,3,4,6,7,8,9,5]=>[1,10,9,8,7,5,4,3,2,6]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[6,5,3,8,4,2,7,1]=>[3,4,6,1,5,7,2,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[6,7,8,4,1,3,5,2]=>[3,2,1,5,8,6,4,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[3,1,6,8,4,7,5,2]=>[6,8,3,1,5,2,4,7]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[8,3,6,1,5,7,4,2]=>[1,6,3,8,4,2,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[3,2,7,5,8,6,1,4]=>[6,7,2,4,1,3,8,5]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[2,4,7,5,8,6,1,3]=>[7,5,2,4,1,3,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[2,4,6,7,8,1,5,3]=>[7,5,3,2,1,8,4,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,3,6,8,2,5,1,4]=>[2,6,3,1,7,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[5,7,3,8,6,2,1,4]=>[4,2,6,1,3,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[7,4,3,8,6,2,1,5]=>[2,5,6,1,3,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[3,4,7,2,8,5,1,6]=>[6,5,2,7,1,4,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,5,2,8,1,4,7,6]=>[6,4,7,1,8,5,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[4,3,6,2,1,8,5,7]=>[5,6,3,7,8,1,4,2]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[4,6,2,3,5,8,7,1]=>[5,3,7,6,4,1,2,8]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,6,2,3,7,5,8,1]=>[5,3,7,6,2,4,1,8]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,6,4,2,7,5,1,8]=>[6,3,5,7,2,4,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[3,6,5,2,1,7,4,8]=>[6,3,4,7,8,2,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[7,4,6,3,2,1,5,8]=>[2,5,3,6,7,8,4,1]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[5,8,4,2,3,6,7,1]=>[4,1,5,7,6,3,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[6,4,8,3,2,1,5,7]=>[3,5,1,6,7,8,4,2]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,4,5,3,2,1,7,6]=>[1,5,4,6,7,8,2,3]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[5,8,3,4,2,1,7,6]=>[4,1,6,5,7,8,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[6,8,4,2,3,7,5,1]=>[3,1,5,7,6,2,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[6,4,8,3,2,7,1,5]=>[3,5,1,6,7,2,8,4]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[2,8,6,5,4,1,7,3]=>[7,1,3,4,5,8,2,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,5,6,4,1,8,7,3]=>[7,4,3,5,8,1,2,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[2,8,6,4,5,7,1,3]=>[7,1,3,5,4,2,8,6]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[3,8,6,2,5,7,1,4]=>[6,1,3,7,4,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[2,5,6,4,7,1,8,3]=>[7,4,3,5,2,8,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[2,6,5,4,1,7,8,3]=>[7,3,4,5,8,2,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[6,4,7,3,8,2,1,5]=>[3,5,2,6,1,7,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[3,6,4,2,7,1,8,5]=>[6,3,5,7,2,8,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[6,7,4,3,2,1,8,5]=>[3,2,5,6,7,8,1,4]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[8,4,6,3,2,1,5,7]=>[1,5,3,6,7,8,4,2]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[4,6,3,2,1,5,7,8]=>[5,3,6,7,8,4,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[1,2,6,5,8,7,3,4]=>[8,7,3,4,1,2,6,5]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[1,5,2,7,4,6,8,3]=>[8,4,7,2,5,3,1,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[5,1,2,7,3,6,8,4]=>[4,8,7,2,6,3,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[5,1,2,8,3,6,7,4]=>[4,8,7,1,6,3,2,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[5,6,3,4,8,7,2,1]=>[4,3,6,5,1,2,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[6,5,3,4,8,7,2,1]=>[3,4,6,5,1,2,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[7,5,3,8,4,6,2,1]=>[2,4,6,1,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,5,3,7,4,6,2,1]=>[1,4,6,2,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[1,6,8,2,4,5,3,7]=>[8,3,1,7,5,4,6,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[7,1,2,8,3,6,4,5]=>[2,8,7,1,6,3,5,4]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[6,1,8,2,3,5,7,4]=>[3,8,1,7,6,4,2,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[6,1,7,2,3,5,8,4]=>[3,8,2,7,6,4,1,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[1,6,8,2,4,5,7,3]=>[8,3,1,7,5,4,2,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[1,8,2,7,4,6,5,3]=>[8,1,7,2,5,3,4,6]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[1,7,6,2,4,5,8,3]=>[8,2,3,7,5,4,1,6]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[8,1,7,2,3,5,6,4]=>[1,8,2,7,6,4,3,5]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[8,1,7,2,3,5,4,6]=>[1,8,2,7,6,4,5,3]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[8,7,1,2,3,4,6,5]=>[1,2,8,7,6,5,3,4]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[8,6,1,2,3,4,7,5]=>[1,3,8,7,6,5,2,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,1,6,2,3,5,4,7]=>[1,8,3,7,6,4,5,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[6,7,2,5,1,4,8,3]=>[3,2,7,4,8,5,1,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[4,2,5,8,7,3,6,1]=>[5,7,4,1,2,6,3,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[8,1,2,4,7,3,6,5]=>[1,8,7,5,2,6,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[1,8,3,5,7,2,6,4]=>[8,1,6,4,2,7,3,5]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,3,4,8,7,5,6,2]=>[8,6,5,1,2,4,3,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[2,3,4,6,8,5,7,1]=>[7,6,5,3,1,4,2,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[2,4,6,3,7,8,5,1]=>[7,5,3,6,2,1,4,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[1,5,6,8,3,7,4,2]=>[8,4,3,1,6,2,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[8,2,4,5,1,3,7,6]=>[1,7,5,4,8,6,2,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[1,4,7,8,3,5,6,2]=>[8,5,2,1,6,4,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,6,7,1,8,4,5,3]=>[7,3,2,8,1,5,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[2,4,8,1,5,3,6,7]=>[7,5,1,8,4,6,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[5,8,3,1,4,2,6,7]=>[4,1,6,8,5,7,3,2]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[1,6,2,7,8,5,3,4]=>[8,3,7,2,1,4,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[4,5,1,6,7,3,8,2]=>[5,4,8,3,2,6,1,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[8,5,3,1,7,4,2,6]=>[1,4,6,8,2,5,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,2,6,8,1,7,4,3]=>[4,7,3,1,8,2,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[5,7,3,2,6,8,1,4]=>[4,2,6,7,3,1,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,4,7,3,1,6,2,5]=>[1,5,2,6,8,3,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[5,7,1,2,8,4,6,3]=>[4,2,8,7,1,5,3,6]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,2,8,6,1,4,5,7]=>[6,7,1,3,8,5,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[5,1,8,2,3,6,4,7]=>[4,8,1,7,6,3,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[8,3,1,4,5,7,2,6]=>[1,6,8,5,4,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,6,2,3,5,1,4,7]=>[1,3,7,6,4,8,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[2,6,3,8,7,5,4,1]=>[7,3,6,1,2,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[8,2,6,3,5,4,1,7]=>[1,7,3,6,4,5,8,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,6,2,4,1,5,3,7]=>[1,3,7,5,8,4,6,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,4,1,6,5,3,2,7]=>[1,5,8,3,4,6,7,2]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[8,3,6,1,5,4,2,7]=>[1,6,3,8,4,5,7,2]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,3,2,6,5,4,1,7]=>[1,6,7,3,4,5,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[8,3,2,5,7,4,1,6]=>[1,6,7,4,2,5,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,3,1,7,5,4,2,6]=>[1,6,8,2,4,5,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[6,1,3,8,7,5,4,2]=>[3,8,6,1,2,4,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,6,1,8,7,5,4,2]=>[6,3,8,1,2,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,8,1,5,7,6,4,2]=>[6,1,8,4,2,3,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[3,5,2,8,7,6,4,1]=>[6,4,7,1,2,3,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,4,8,2,7,6,5,1]=>[6,5,1,7,2,3,4,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,4,8,7,1,6,5,2]=>[6,5,1,2,8,3,4,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[8,1,3,5,7,6,4,2]=>[1,8,6,4,2,3,5,7]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,1,8,5,7,6,3,2]=>[5,8,1,4,2,3,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[8,2,7,1,4,5,6,3]=>[1,7,2,8,5,4,3,6]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,1,7,3,4,6,2,5]=>[1,8,2,6,5,3,7,4]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,3,1,7,2,6,5,4]=>[1,6,8,2,7,3,4,5]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[3,8,2,4,7,6,5,1]=>[6,1,7,5,2,3,4,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[2,8,3,7,4,6,5,1]=>[7,1,6,2,5,3,4,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[8,2,3,7,1,6,5,4]=>[1,7,6,2,8,3,4,5]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[8,2,7,1,3,6,5,4]=>[1,7,2,8,6,3,4,5]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,1,7,2,6,4,3,5]=>[1,8,2,7,3,5,6,4]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,1,7,5,2,4,3,6]=>[1,8,2,4,7,5,6,3]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[8,2,3,7,4,6,1,5]=>[1,7,6,2,5,3,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[2,4,8,5,7,6,3,1]=>[7,5,1,4,2,3,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[8,2,4,3,7,6,1,5]=>[1,7,5,6,2,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[8,2,7,3,5,1,4,6]=>[1,7,2,6,4,8,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,2,7,4,3,1,5,6]=>[1,7,2,5,6,8,4,3]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[8,2,1,5,7,6,4,3]=>[1,7,8,4,2,3,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[6,2,1,8,7,5,4,3]=>[3,7,8,1,2,4,5,6]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[6,1,8,2,7,5,4,3]=>[3,8,1,7,2,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[8,1,5,2,7,6,4,3]=>[1,8,4,7,2,3,5,6]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[8,1,7,2,4,6,5,3]=>[1,8,2,7,5,3,4,6]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[8,2,4,1,7,6,5,3]=>[1,7,5,8,2,3,4,6]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[4,2,8,3,7,6,5,1]=>[5,7,1,6,2,3,4,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[4,8,2,1,7,6,5,3]=>[5,1,7,8,2,3,4,6]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[5,1,8,7,2,6,4,3]=>[4,8,1,2,7,3,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[5,8,1,3,7,6,2,4]=>[4,1,8,6,2,3,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,1,4,8,7,6,3,2]=>[4,8,5,1,2,3,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[8,1,4,3,7,6,5,2]=>[1,8,5,6,2,3,4,7]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[4,8,1,3,7,6,5,2]=>[5,1,8,6,2,3,4,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,3,8,1,7,6,5,2]=>[5,6,1,8,2,3,4,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[5,8,6,3,2,1,7,4]=>[4,1,3,6,7,8,2,5]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[5,7,1,3,2,8,6,4]=>[4,2,8,6,7,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[8,5,1,3,2,4,6,7]=>[1,4,8,6,7,5,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[6,7,1,2,5,4,8,3]=>[3,2,8,7,4,5,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[3,2,8,1,4,7,5,6]=>[6,7,1,8,5,2,4,3]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[8,1,6,4,2,3,5,7]=>[1,8,3,5,7,6,4,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[6,8,5,3,4,1,7,2]=>[3,1,4,6,5,8,2,7]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[1,5,4,8,2,3,7,6]=>[8,4,5,1,7,6,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[8,5,7,4,1,3,6,2]=>[1,4,2,5,8,6,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[1,7,8,2,3,5,6,4]=>[8,2,1,7,6,4,3,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[7,5,8,2,3,1,4,6]=>[2,4,1,7,6,8,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,1,3,8,2,5,6,4]=>[2,8,6,1,7,4,3,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[7,3,5,4,2,1,8,6]=>[2,6,4,5,7,8,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[7,4,5,2,1,6,8,3]=>[2,5,4,7,8,3,1,6]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,4,3,2,6,1,8,5]=>[2,5,6,7,3,8,1,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[7,3,2,8,5,6,1,4]=>[2,6,7,1,4,3,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[7,2,5,4,1,6,3,8]=>[2,7,4,5,8,3,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,5,2,4,7,8,3,6]=>[8,4,7,5,2,1,6,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[3,5,1,2,8,6,7,4]=>[6,4,8,7,1,3,2,5]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[4,7,6,5,2,3,8,1]=>[5,2,3,4,7,6,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[4,7,6,5,1,3,8,2]=>[5,2,3,4,8,6,1,7]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[1,7,6,5,2,3,8,4]=>[8,2,3,4,7,6,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[1,7,6,5,8,3,2,4]=>[8,2,3,4,1,6,7,5]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[4,7,6,5,1,3,2,8]=>[5,2,3,4,8,6,7,1]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[4,7,6,5,3,8,1,2]=>[5,2,3,4,6,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[6,3,4,2,8,1,5,7]=>[3,6,5,7,1,8,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[6,7,3,2,1,8,5,4]=>[3,2,6,7,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[5,7,6,2,1,4,8,3]=>[4,2,3,7,8,5,1,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[1,7,6,3,2,8,4,5]=>[8,2,3,6,7,1,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,4,2,1,7,3,6,8]=>[4,5,7,8,2,6,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[6,5,8,3,4,1,7,2]=>[3,4,1,6,5,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,7,3,6,8,1,4,2]=>[4,2,6,3,1,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,1,2,8,5,3,6,7]=>[5,8,7,1,4,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[2,1,6,3,7,8,5,4]=>[7,8,3,6,2,1,4,5]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[3,7,4,1,6,5,2,8]=>[6,2,5,8,3,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[3,5,8,2,6,1,7,4]=>[6,4,1,7,3,8,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[1,7,6,5,8,4,2,3]=>[8,2,3,4,1,5,7,6]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[3,7,6,2,8,4,5,1]=>[6,2,3,7,1,5,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[3,7,6,1,5,4,8,2]=>[6,2,3,8,4,5,1,7]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[2,7,1,5,8,4,3,6]=>[7,2,8,4,1,5,6,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[2,7,6,1,8,4,3,5]=>[7,2,3,8,1,5,6,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[7,2,5,1,4,6,3,8]=>[2,7,4,8,5,3,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,1,5,4,3,6,2,8]=>[2,8,4,5,6,3,7,1]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[6,7,8,4,2,5,3,1]=>[3,2,1,5,7,4,6,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,1,2,5,7,8,4,3]=>[3,8,7,4,2,1,5,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[3,7,8,6,2,5,1,4]=>[6,2,1,3,7,4,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[4,1,2,7,8,5,3,6]=>[5,8,7,2,1,4,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[4,7,3,1,6,2,8,5]=>[5,2,6,8,3,7,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[3,7,6,1,5,8,2,4]=>[6,2,3,8,4,1,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,7,6,5,4,1,8,3]=>[7,2,3,4,5,8,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[2,7,1,8,5,3,6,4]=>[7,2,8,1,4,6,3,5]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[3,8,5,4,6,7,1,2]=>[6,1,4,5,3,2,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[4,2,7,1,3,8,6,5]=>[5,7,2,8,6,1,3,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[4,8,1,6,2,7,5,3]=>[5,1,8,3,7,2,4,6]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[6,5,2,3,1,7,4,8]=>[3,4,7,6,8,2,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,1,8,4,2,7,5,3]=>[3,8,1,5,7,2,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[5,7,2,3,8,4,1,6]=>[4,2,7,6,1,5,8,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[5,6,2,7,3,4,8,1]=>[4,3,7,2,6,5,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[3,7,8,6,1,2,4,5]=>[6,2,1,3,8,7,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[2,7,6,8,5,1,3,4]=>[7,2,3,1,4,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[5,6,1,8,3,7,4,2]=>[4,3,8,1,6,2,5,7]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[2,8,4,1,5,7,3,6]=>[7,1,5,8,4,2,6,3]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,8,5,7,4,3,6,1]=>[7,1,4,2,5,6,3,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[2,8,4,6,3,1,7,5]=>[7,1,5,3,6,8,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,6,8,1,3,2,5,7]=>[5,3,1,8,6,7,4,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[2,4,6,1,5,7,3,8]=>[7,5,3,8,4,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[3,2,7,4,1,8,5,6]=>[6,7,2,5,8,1,4,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[4,7,2,3,1,6,8,5]=>[5,2,7,6,8,3,1,4]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[7,4,6,2,8,3,5,1]=>[2,5,3,7,1,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[7,3,5,1,4,8,2,6]=>[2,6,4,8,5,1,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[3,4,6,5,1,2,7,8]=>[6,5,3,4,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,2,7,4,5,8,6,3]=>[8,7,2,5,4,1,3,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[1,5,3,6,8,4,2,7]=>[8,4,6,3,1,5,7,2]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[7,5,4,3,8,6,2,1]=>[2,4,5,6,1,3,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[4,3,8,2,5,7,1,6]=>[5,6,1,7,4,2,8,3]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[4,1,6,2,5,3,7,8]=>[5,8,3,7,4,6,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[4,1,8,5,6,3,7,2]=>[5,8,1,4,3,6,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[6,7,2,3,1,5,8,4]=>[3,2,7,6,8,4,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[7,5,2,3,8,1,6,4]=>[2,4,7,6,1,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[5,2,7,8,6,1,3,4]=>[4,7,2,1,3,8,6,5]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[6,5,2,3,8,1,7,4]=>[3,4,7,6,1,8,2,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,7,4,6,2,1,3,5]=>[1,2,5,3,7,8,6,4]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[4,5,1,7,6,3,8,2]=>[5,4,8,2,3,6,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[7,8,2,4,1,6,3,5]=>[2,1,7,5,8,3,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[8,1,7,5,2,3,4,6]=>[1,8,2,4,7,6,5,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[4,5,1,6,2,8,7,3]=>[5,4,8,3,7,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,5,1,3,8,7,6,2]=>[5,4,8,6,1,2,3,7]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[4,8,3,6,1,7,2,5]=>[5,1,6,3,8,2,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[8,5,6,1,7,4,3,2]=>[1,4,3,8,2,5,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[1,2,4,6,8,10,9,7,5,3]=>[10,9,7,5,3,1,2,4,6,8]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,4]
[1,2,4,6,8,5,7,3]=>[8,7,5,3,1,4,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,3,8,4,6,5,1,2]=>[2,6,1,5,3,4,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[7,4,3,6,5,8,1,2]=>[2,5,6,3,4,1,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[4,5,8,7,2,6,1,3]=>[5,4,1,2,7,3,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[4,2,7,6,5,8,3,1]=>[5,7,2,3,4,1,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[4,6,7,8,5,2,3,1]=>[5,3,2,1,4,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[6,4,7,2,5,8,3,1]=>[3,5,2,7,4,1,6,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[6,3,8,7,5,1,4,2]=>[3,6,1,2,4,8,5,7]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[5,3,6,4,1,2,8,7]=>[4,6,3,5,8,7,1,2]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[6,8,4,3,5,7,1,2]=>[3,1,5,6,4,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[3,2,4,5,1,8,6,7]=>[6,7,5,4,8,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[5,2,4,1,7,8,3,6]=>[4,7,5,8,2,1,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,2,5,1,7,8,3,6]=>[5,7,4,8,2,1,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[2,5,1,4,8,3,6,7]=>[7,4,8,5,1,6,3,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[1,4,5,3,8,2,6,7]=>[8,5,4,6,1,7,3,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[5,1,8,2,4,3,6,7]=>[4,8,1,7,5,6,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[5,3,2,8,4,1,6,7]=>[4,6,7,1,5,8,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,5,1,4,7,8,2,6]=>[6,4,8,5,2,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[4,8,3,1,6,7,2,5]=>[5,1,6,8,3,2,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[3,6,2,4,8,7,1,5]=>[6,3,7,5,1,2,8,4]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[7,3,4,6,8,1,2,5]=>[2,6,5,3,1,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[7,8,4,6,3,1,5,2]=>[2,1,5,3,6,8,4,7]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[6,1,5,8,3,4,7,2]=>[3,8,4,1,6,5,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[8,1,6,3,5,4,7,2]=>[1,8,3,6,4,5,2,7]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[7,4,2,8,3,6,5,1]=>[2,5,7,1,6,3,4,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[4,2,8,6,1,5,7,3]=>[5,7,1,3,8,4,2,6]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[6,2,4,8,1,7,3,5]=>[3,7,5,1,8,2,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[8,2,6,1,4,5,7,3]=>[1,7,3,8,5,4,2,6]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[3,1,7,8,5,4,6,2]=>[6,8,2,1,4,5,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[1,6,2,7,4,8,5,3]=>[8,3,7,2,5,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,7,1,8,4,3,5,6]=>[7,2,8,1,5,6,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[8,3,6,7,4,1,5,2]=>[1,6,3,2,5,8,4,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[2,7,6,3,5,8,1,4]=>[7,2,3,6,4,1,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[6,7,2,8,1,3,4,5]=>[3,2,7,1,8,6,5,4]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[5,1,6,8,7,2,3,4]=>[4,8,3,1,2,7,6,5]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[3,5,6,1,4,2,8,7]=>[6,4,3,8,5,7,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[8,4,6,7,3,2,1,5]=>[1,5,3,2,6,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[4,2,7,8,1,5,6,3]=>[5,7,2,1,8,4,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[2,1,5,7,8,3,6,4]=>[7,8,4,2,1,6,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[2,4,7,8,1,5,6,3]=>[7,5,2,1,8,4,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,6,2,5,7,1,8,3]=>[5,3,7,4,2,8,1,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,1,6,7,3,8,2,4]=>[4,8,3,2,6,1,7,5]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[3,8,6,7,5,1,2,4]=>[6,1,3,2,4,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[6,1,5,4,7,3,2,8]=>[3,8,4,5,2,6,7,1]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[6,1,7,5,4,3,2,8]=>[3,8,2,4,5,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[5,1,6,8,2,3,7,4]=>[4,8,3,1,7,6,2,5]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[1,5,4,7,6,2,8,3]=>[8,4,5,2,3,7,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[2,3,7,6,5,1,8,4]=>[7,6,2,3,4,8,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[7,5,2,1,6,4,3,8]=>[2,4,7,8,3,5,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,7,2,4,3,1,8,6]=>[4,2,7,5,6,8,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,1,2,4,8,5,7,6]=>[6,8,7,5,1,4,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[2,5,8,4,6,3,1,7]=>[7,4,1,5,3,6,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,2,5,8,4,1,6,7]=>[6,7,4,1,5,8,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[7,1,5,4,8,3,2,6]=>[2,8,4,5,1,6,7,3]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[6,4,1,7,5,3,2,8]=>[3,5,8,2,4,6,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[2,7,1,5,3,8,4,6]=>[7,2,8,4,6,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[1,7,2,5,3,8,6,4]=>[8,2,7,4,6,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[6,1,4,2,3,8,7,5]=>[3,8,5,7,6,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,2,3,8,6,1,4,5]=>[2,7,6,1,3,8,5,4]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[6,2,4,8,1,3,7,5]=>[3,7,5,1,8,6,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[7,3,2,5,8,1,6,4]=>[2,6,7,4,1,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[6,3,4,8,1,5,2,7]=>[3,6,5,1,8,4,7,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[6,3,4,8,1,5,7,2]=>[3,6,5,1,8,4,2,7]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[5,3,8,4,1,2,6,7]=>[4,6,1,5,8,7,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[2,4,8,3,7,1,5,6]=>[7,5,1,6,2,8,4,3]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[7,6,5,2,1,8,3,4]=>[2,3,4,7,8,1,6,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,6,5,2,1,8,4,3]=>[2,3,4,7,8,1,5,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[5,1,8,7,4,3,6,2]=>[4,8,1,2,5,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,8,7,2,4,6,1,5]=>[6,1,2,7,5,3,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,7,1,3,2,4,8,6]=>[4,2,8,6,7,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[8,4,7,6,3,5,1,2]=>[1,5,2,3,6,4,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[8,1,7,4,2,3,5,6]=>[1,8,2,5,7,6,4,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[6,5,1,3,8,7,4,2]=>[3,4,8,6,1,2,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[8,6,5,1,7,4,3,2]=>[1,3,4,8,2,5,6,7]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[8,2,3,7,1,4,5,6]=>[1,7,6,2,8,5,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[2,8,3,7,1,4,5,6]=>[7,1,6,2,8,5,4,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[5,6,2,7,4,3,1,8]=>[4,3,7,2,5,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,4,7,2,5,6,1,8]=>[6,5,2,7,4,3,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[3,7,8,2,6,1,4,5]=>[6,2,1,7,3,8,5,4]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[3,2,7,8,4,1,5,6]=>[6,7,2,1,5,8,4,3]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[6,8,4,7,3,1,5,2]=>[3,1,5,2,6,8,4,7]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[3,7,8,2,6,1,5,4]=>[6,2,1,7,3,8,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,8,6,5,1,2,7,3]=>[5,1,3,4,8,7,2,6]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[7,5,4,6,1,8,2,3]=>[2,4,5,3,8,1,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[3,4,5,1,8,6,2,7]=>[6,5,4,8,1,3,7,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[3,8,7,6,5,1,2,4]=>[6,1,2,3,4,8,7,5]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,4,6,7,1,2,5,3]=>[1,5,3,2,8,7,4,6]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[5,7,2,6,1,3,8,4]=>[4,2,7,3,8,6,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[5,8,2,6,1,4,7,3]=>[4,1,7,3,8,5,2,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,4,6,8,1,3,2,5]=>[2,5,3,1,8,6,7,4]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[7,4,6,8,1,3,5,2]=>[2,5,3,1,8,6,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[6,8,4,7,2,1,5,3]=>[3,1,5,2,7,8,4,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[3,2,5,6,1,7,4,8]=>[6,7,4,3,8,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[8,4,6,5,1,7,3,2]=>[1,5,3,4,8,2,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[7,4,6,5,1,3,8,2]=>[2,5,3,4,8,6,1,7]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[1,7,3,4,5,2,8,6]=>[8,2,6,5,4,7,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[4,8,2,1,3,5,6,7]=>[5,1,7,8,6,4,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[1,7,2,5,4,3,8,6]=>[8,2,7,4,5,6,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[2,6,7,3,4,8,1,5]=>[7,3,2,6,5,1,8,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[2,1,5,7,4,3,8,6]=>[7,8,4,2,5,6,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[4,1,8,7,5,6,2,3]=>[5,8,1,2,4,3,7,6]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[1,5,8,7,4,3,6,2]=>[8,4,1,2,5,6,3,7]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[6,4,1,3,8,7,5,2]=>[3,5,8,6,1,2,4,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[2,1,7,4,6,8,3,5]=>[7,8,2,5,3,1,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[1,7,2,4,6,8,3,5]=>[8,2,7,5,3,1,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[8,6,4,2,7,3,5,1]=>[1,3,5,7,2,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,4,6,1,2,3,8,5]=>[2,5,3,8,7,6,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[1,8,6,2,7,3,5,4]=>[8,1,3,7,2,6,4,5]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[1,7,8,6,2,3,5,4]=>[8,2,1,3,7,6,4,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,1,8,3,5,7,6,4]=>[7,8,1,6,4,2,3,5]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[3,5,8,1,7,6,2,4]=>[6,4,1,8,2,3,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[2,8,1,3,6,7,5,4]=>[7,1,8,6,3,2,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[7,2,4,8,6,1,5,3]=>[2,7,5,1,3,8,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[8,2,1,3,4,5,6,7,9]=>[2,8,9,7,6,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9]
[1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[8,3,5,4,2,6,1,7]=>[1,6,4,5,7,3,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[5,4,7,3,2,6,8,1]=>[4,5,2,6,7,3,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[3,7,6,4,2,5,8,1]=>[6,2,3,5,7,4,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[5,7,2,6,3,4,8,1]=>[4,2,7,3,6,5,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[2,7,5,4,6,8,3,1]=>[7,2,4,5,3,1,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[8,2,5,4,6,3,1,7]=>[1,7,4,5,3,6,8,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[5,7,2,3,6,8,4,1]=>[4,2,7,6,3,1,5,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[4,8,5,1,7,3,2,6]=>[5,1,4,8,2,6,7,3]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[5,4,3,7,2,8,6,1]=>[4,5,6,2,7,1,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,3,2,5,8,7,4,1]=>[3,6,7,4,1,2,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[8,4,3,2,6,5,1,7]=>[1,5,6,7,3,4,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[2,6,5,8,7,3,1,4]=>[7,3,4,1,2,6,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,6,5,8,4,3,7,1]=>[7,3,4,1,5,6,2,8]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[8,2,6,5,3,1,4,7]=>[1,7,3,4,6,8,5,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[7,2,8,1,6,4,3,5]=>[2,7,1,8,3,5,6,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[3,2,8,7,6,4,1,5]=>[6,7,1,2,3,5,8,4]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[5,4,2,8,7,3,1,6]=>[4,5,7,1,2,6,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[3,6,8,5,1,7,2,4]=>[6,3,1,4,8,2,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[2,8,7,5,3,1,4,6]=>[7,1,2,4,6,8,5,3]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[2,4,7,8,5,3,1,6]=>[7,5,2,1,4,6,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[6,5,3,2,4,1,8,7]=>[3,4,6,7,5,8,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[6,5,8,7,3,2,4,1]=>[3,4,1,2,6,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[2,1,4,7,8,5,3,6]=>[7,8,5,2,1,4,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[8,3,6,4,7,5,1,2]=>[1,6,3,5,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[8,3,1,6,5,7,4,2]=>[1,6,8,3,4,2,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,5,1,6,4,3,7,2]=>[1,4,8,3,5,6,2,7]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[6,3,4,7,8,1,2,5]=>[3,6,5,2,1,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[7,1,2,4,6,8,3,5]=>[2,8,7,5,3,1,6,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[3,7,1,2,4,6,8,5]=>[6,2,8,7,5,3,1,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[2,4,1,7,3,6,8,5]=>[7,5,8,2,6,3,1,4]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,4,3,6,1,7,8,5]=>[7,5,6,3,8,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[8,2,4,6,1,5,7,3]=>[1,7,5,3,8,4,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[7,1,4,2,6,8,5,3]=>[2,8,5,7,3,1,4,6]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[8,1,7,5,3,4,6,2]=>[1,8,2,4,6,5,3,7]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[8,4,5,2,3,7,1,6]=>[1,5,4,7,6,2,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[6,4,7,5,2,8,3,1]=>[3,5,2,4,7,1,6,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,5,1,3,6,4,8,2]=>[2,4,8,6,3,5,1,7]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[4,6,3,8,7,5,1,2]=>[5,3,6,1,2,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,8,4,1,5,7,6,3]=>[7,1,5,8,4,2,3,6]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,8,4,2,5,7,6,3]=>[8,1,5,7,4,2,3,6]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,8,5,4,1,7,6,3]=>[7,1,4,5,8,2,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,5,8,3,7,1,6,4]=>[7,4,1,6,2,8,3,5]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,8,5,2,4,7,6,3]=>[8,1,4,7,5,2,3,6]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,4,6,2,8,7,5,3]=>[8,5,3,7,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[7,8,2,4,1,6,5,3]=>[2,1,7,5,8,3,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[2,4,6,1,8,7,5,3]=>[7,5,3,8,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,8,4,5,1,7,6,3]=>[7,1,5,4,8,2,3,6]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,5,8,2,7,6,1,4]=>[6,4,1,7,2,3,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[2,1,6,8,7,5,3,4]=>[7,8,3,1,2,4,6,5]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[1,8,2,4,5,7,6,3]=>[8,1,7,5,4,2,3,6]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[1,2,8,3,5,7,6,4]=>[8,7,1,6,4,2,3,5]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[1,3,8,2,5,7,6,4]=>[8,6,1,7,4,2,3,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[2,3,8,1,5,7,6,4]=>[7,6,1,8,4,2,3,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[2,6,1,8,7,5,3,4]=>[7,3,8,1,2,4,6,5]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[1,6,2,8,7,5,3,4]=>[8,3,7,1,2,4,6,5]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,6,3,8,7,5,2,4]=>[8,3,6,1,2,4,7,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,6,3,8,7,5,1,4]=>[7,3,6,1,2,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[3,2,8,1,5,7,6,4]=>[6,7,1,8,4,2,3,5]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[3,1,8,2,5,7,6,4]=>[6,8,1,7,4,2,3,5]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[2,8,1,4,5,7,6,3]=>[7,1,8,5,4,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[7,8,2,1,4,6,5,3]=>[2,1,7,8,5,3,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[2,3,6,8,7,5,1,4]=>[7,6,3,1,2,4,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[3,1,6,8,7,2,5,4]=>[6,8,3,1,2,7,4,5]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[8,1,4,7,6,3,2,5]=>[1,8,5,2,3,6,7,4]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,3,1,6,4,7,2,5]=>[1,6,8,3,5,2,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[8,3,6,1,5,7,2,4]=>[1,6,3,8,4,2,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,4,6,3,1,2,5,7]=>[1,5,3,6,8,7,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,8,5,3,7,2,4,6]=>[8,1,4,6,2,7,5,3]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[6,8,1,4,5,2,3,7]=>[3,1,8,5,4,7,6,2]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[2,1,6,5,3,8,4,7]=>[7,8,3,4,6,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[5,6,8,1,4,2,3,7]=>[4,3,1,8,5,7,6,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[5,7,4,8,1,2,3,6]=>[4,2,5,1,8,7,6,3]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[1,5,4,7,2,3,8,6]=>[8,4,5,2,7,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[4,7,5,1,8,2,3,6]=>[5,2,4,8,1,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[5,3,7,1,2,4,8,6]=>[4,6,2,8,7,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,2,1,5,3,7,4,6]=>[1,7,8,4,6,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[4,7,8,1,2,6,3,5]=>[5,2,1,8,7,3,6,4]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[8,7,1,5,6,2,3,4]=>[1,2,8,4,3,7,6,5]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[3,7,1,6,2,4,8,5]=>[6,2,8,3,7,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,5,1,2,6,8,3,4]=>[2,4,8,7,3,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,1,5,2,7,8,3,4]=>[3,8,4,7,2,1,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,7,3,2,4,6,8,5]=>[8,2,6,7,5,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[4,1,8,3,2,7,5,6]=>[5,8,1,6,7,2,4,3]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[3,1,2,7,8,4,6,5]=>[6,8,7,2,1,5,3,4]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[3,8,1,2,7,6,4,5]=>[6,1,8,7,2,3,5,4]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,1,2,6,8,7,3,4]=>[4,8,7,3,1,2,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[1,8,6,2,5,7,3,4]=>[8,1,3,7,4,2,6,5]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[8,1,5,7,6,2,3,4]=>[1,8,4,2,3,7,6,5]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,3,1,2,7,6,4,5]=>[1,6,8,7,2,3,5,4]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[7,8,6,1,5,2,3,4]=>[2,1,3,8,4,7,6,5]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,8,1,3,4,5,2,6]=>[2,1,8,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[3,8,6,1,4,2,7,5]=>[6,1,3,8,5,7,2,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[7,1,8,2,4,6,3,5]=>[2,8,1,7,5,3,6,4]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[7,3,2,8,1,5,4,6]=>[2,6,7,1,8,4,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[3,5,4,1,7,2,6,8]=>[6,4,5,8,2,7,3,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[6,4,7,3,2,5,1,8]=>[3,5,2,6,7,4,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[3,7,4,1,6,8,5,2]=>[6,2,5,8,3,1,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[3,1,2,7,6,8,5,4]=>[6,8,7,2,3,1,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[6,3,2,8,4,5,1,7]=>[3,6,7,1,5,4,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[3,8,5,2,4,6,1,7]=>[6,1,4,7,5,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[5,7,8,4,6,3,2,1]=>[4,2,1,5,3,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[6,8,1,2,7,4,3,5]=>[3,1,8,7,2,5,6,4]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,8,7,3,6,2,4,1]=>[4,1,2,6,3,7,5,8]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[7,3,5,4,2,8,6,1]=>[2,6,4,5,7,1,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[2,5,1,3,7,8,6,4]=>[7,4,8,6,2,1,3,5]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,6,7,2,1,3,5,8]=>[5,3,2,7,8,6,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,6,4,2,5,1,7,8]=>[6,3,5,7,4,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[3,6,2,7,5,4,1,8]=>[6,3,7,2,4,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,4,7,3,8,6,5,1]=>[7,5,2,6,1,3,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[4,5,7,2,3,1,8,6]=>[5,4,2,7,6,8,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[2,6,4,7,5,3,8,1]=>[7,3,5,2,4,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[6,2,4,7,1,3,8,5]=>[3,7,5,2,8,6,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[5,4,7,1,3,2,8,6]=>[4,5,2,8,6,7,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[6,1,4,7,5,3,8,2]=>[3,8,5,2,4,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[4,7,3,6,1,2,8,5]=>[5,2,6,3,8,7,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[2,6,8,7,5,3,1,4]=>[7,3,1,2,4,6,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[6,4,1,7,5,2,8,3]=>[3,5,8,2,4,7,1,6]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[3,8,6,7,5,2,1,4]=>[6,1,3,2,4,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[4,7,3,1,8,5,6,2]=>[5,2,6,8,1,4,3,7]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[2,6,4,5,7,3,8,1]=>[7,3,5,4,2,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[6,1,8,5,3,4,7,2]=>[3,8,1,4,6,5,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[6,4,1,8,7,2,5,3]=>[3,5,8,1,2,7,4,6]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[4,5,7,2,6,8,1,3]=>[5,4,2,7,3,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[1,3,8,5,2,7,4,6]=>[8,6,1,4,7,2,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,8,3,7,6,1,4,5]=>[7,1,6,2,3,8,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[3,7,8,4,6,1,2,5]=>[6,2,1,5,3,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[7,3,8,6,5,2,4,1]=>[2,6,1,3,4,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[5,7,6,4,8,1,3,2]=>[4,2,3,5,1,8,6,7]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[5,2,6,7,8,1,3,4]=>[4,7,3,2,1,8,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,5,7,8,1,6,2,3]=>[5,4,2,1,8,3,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,5,6,8,1,2,7,3]=>[5,4,3,1,8,7,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[3,6,8,7,5,1,2,4]=>[6,3,1,2,4,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[3,5,8,4,1,7,2,6]=>[6,4,1,5,8,2,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[5,3,8,4,2,7,1,6]=>[4,6,1,5,7,2,8,3]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[5,2,4,8,1,7,3,6]=>[4,7,5,1,8,2,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[6,7,3,5,8,2,1,4]=>[3,2,6,4,1,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[6,7,4,8,5,2,3,1]=>[3,2,5,1,4,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[7,6,4,8,5,1,3,2]=>[2,3,5,1,4,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[6,2,7,5,8,1,3,4]=>[3,7,2,4,1,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[7,3,6,5,2,4,1,8]=>[2,6,3,4,7,5,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,3,7,5,2,4,8,1]=>[3,6,2,4,7,5,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[8,1,2,7,4,5,3,6]=>[1,8,7,2,5,4,6,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[8,5,7,4,3,1,2,6]=>[1,4,2,5,6,8,7,3]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,5,7,3,2,1,4,6]=>[1,4,2,6,7,8,5,3]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[2,6,4,8,3,1,7,5]=>[7,3,5,1,6,8,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[8,1,3,7,5,6,4,2]=>[1,8,6,2,4,3,5,7]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[3,8,2,6,1,4,7,5]=>[6,1,7,3,8,5,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[1,6,4,7,5,8,3,2]=>[8,3,5,2,4,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[4,1,6,5,7,8,2,3]=>[5,8,3,4,2,1,7,6]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[6,7,2,4,1,3,8,5]=>[3,2,7,5,8,6,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[8,7,1,3,5,4,2,6]=>[1,2,8,6,4,5,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[7,8,4,6,3,2,5,1]=>[2,1,5,3,6,7,4,8]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[8,7,1,4,6,2,5,3]=>[1,2,8,5,3,7,4,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,4,3,5,1,7,2,6]=>[1,5,6,4,8,2,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,4,5,2,1,3,7,6]=>[1,5,4,7,8,6,2,3]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[4,8,2,6,1,3,7,5]=>[5,1,7,3,8,6,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[1,3,8,2,5,6,7,4]=>[8,6,1,7,4,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[7,6,8,3,5,4,2,1]=>[2,3,1,6,4,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>[3,2,3]
[1,6,7,3,8,5,4,2]=>[8,3,2,6,1,4,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[7,3,4,8,1,6,5,2]=>[2,6,5,1,8,3,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[7,8,4,6,2,1,5,3]=>[2,1,5,3,7,8,4,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[8,7,6,2,3,1,5,4]=>[1,2,3,7,6,8,4,5]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,7,2,4,6,1,5,3]=>[1,2,7,5,3,8,4,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[2,8,6,7,1,5,4,3]=>[7,1,3,2,8,4,5,6]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[7,8,6,5,2,4,3,1]=>[2,1,3,4,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[5,4,6,7,8,1,3,2]=>[4,5,3,2,1,8,6,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,3,6,7,8,1,4,2]=>[4,6,3,2,1,8,5,7]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[5,3,7,6,8,4,1,2]=>[4,6,2,3,1,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[7,5,3,2,8,6,4,1]=>[2,4,6,7,1,3,5,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[5,4,8,6,7,2,3,1]=>[4,5,1,3,2,7,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,4,8,6,3,1,2,7]=>[4,5,1,3,6,8,7,2]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,4,3,7,5,2,8,1]=>[3,5,6,2,4,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[4,5,7,3,6,2,8,1]=>[5,4,2,6,3,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[4,5,6,3,8,2,7,1]=>[5,4,3,6,1,7,2,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[8,4,7,1,3,5,2,6]=>[1,5,2,8,6,4,7,3]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,4,8,7,2,1,3,6]=>[4,5,1,2,7,8,6,3]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[2,5,4,7,8,1,3,6]=>[7,4,5,2,1,8,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[7,1,6,3,5,2,8,4]=>[2,8,3,6,4,7,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,1,4,3,6,2,8,5]=>[2,8,5,6,3,7,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,3,6,4,8,2,7,1]=>[4,6,3,5,1,7,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[8,2,6,3,7,4,5,1]=>[1,7,3,6,2,5,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,2,6,5,7,3,4,1]=>[1,7,3,4,2,6,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[4,5,6,2,7,3,8,1]=>[5,4,3,7,2,6,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[5,2,7,1,3,6,8,4]=>[4,7,2,8,6,3,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[5,3,1,7,6,2,8,4]=>[4,6,8,2,3,7,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[7,5,1,6,4,2,8,3]=>[2,4,8,3,5,7,1,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[7,4,6,1,5,2,8,3]=>[2,5,3,8,4,7,1,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[5,4,6,2,8,3,7,1]=>[4,5,3,7,1,6,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[8,4,6,1,7,2,5,3]=>[1,5,3,8,2,7,4,6]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[3,8,4,2,5,1,6,7]=>[6,1,5,7,4,8,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[8,5,4,1,3,2,6,7]=>[1,4,5,8,6,7,3,2]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[3,8,4,1,5,2,6,7]=>[6,1,5,8,4,7,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,5,4,3,8,1,6,7]=>[7,4,5,6,1,8,3,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[5,3,4,1,7,2,6,8]=>[4,6,5,8,2,7,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[4,1,6,5,3,2,7,8]=>[5,8,3,4,6,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[7,1,5,3,2,6,4,8]=>[2,8,4,6,7,3,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[7,3,6,4,1,2,5,8]=>[2,6,3,5,8,7,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,1,6,3,5,2,4,8]=>[2,8,3,6,4,7,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[3,1,7,2,5,6,4,8]=>[6,8,2,7,4,3,5,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[6,4,1,7,2,5,3,8]=>[3,5,8,2,7,4,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[2,8,5,7,1,3,6,4]=>[7,1,4,2,8,6,3,5]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[8,5,2,6,1,3,7,4]=>[1,4,7,3,8,6,2,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,1,5,6,3,2,4,8]=>[2,8,4,3,6,7,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[4,1,2,7,5,6,3,8]=>[5,8,7,2,4,3,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[7,1,2,6,5,4,3,8]=>[2,8,7,3,4,5,6,1]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[8,2,1,5,6,3,7,4]=>[1,7,8,4,3,6,2,5]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[2,8,5,1,6,4,7,3]=>[7,1,4,8,3,5,2,6]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[6,1,4,5,3,2,7,8]=>[3,8,5,4,6,7,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[3,1,6,5,4,2,7,8]=>[6,8,3,4,5,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[3,1,4,6,5,2,7,8]=>[6,8,5,3,4,7,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[8,6,1,5,2,3,7,4]=>[1,3,8,4,7,6,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[2,1,8,6,3,7,5,4]=>[7,8,1,3,6,2,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[5,8,3,1,7,6,4,2]=>[4,1,6,8,2,3,5,7]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,8,5,7,2,4,3,1]=>[3,1,4,2,7,5,6,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[7,4,1,6,8,3,2,5]=>[2,5,8,3,1,6,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[7,5,1,8,4,6,2,3]=>[2,4,8,1,5,3,7,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[7,6,2,4,1,3,8,5]=>[2,3,7,5,8,6,1,4]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,3,8,5,2,6,1,4]=>[2,6,1,4,7,3,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[5,3,8,4,7,2,1,6]=>[4,6,1,5,2,7,8,3]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[6,3,8,4,1,5,2,7]=>[3,6,1,5,8,4,7,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[6,3,8,1,4,5,2,7]=>[3,6,1,8,5,4,7,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[4,3,8,5,7,2,6,1]=>[5,6,1,4,2,7,3,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[6,3,8,4,5,1,2,7]=>[3,6,1,5,4,8,7,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[5,2,3,1,4,8,6,7]=>[4,7,6,8,5,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[5,4,1,3,2,8,6,7]=>[4,5,8,6,7,1,3,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[3,7,4,2,8,5,6,1]=>[6,2,5,7,1,4,3,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[5,1,3,4,2,8,6,7]=>[4,8,6,5,7,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[5,2,1,4,3,8,6,7]=>[4,7,8,5,6,1,3,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[5,2,1,3,4,8,6,7]=>[4,7,8,6,5,1,3,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[5,1,2,4,3,8,6,7]=>[4,8,7,5,6,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,7,1,8,3,5,4,2]=>[3,2,8,1,6,4,5,7]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,2,7,3,8,5,1,6]=>[5,7,2,6,1,4,8,3]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[4,7,3,2,8,5,1,6]=>[5,2,6,7,1,4,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[2,3,7,1,8,5,4,6]=>[7,6,2,8,1,4,5,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[5,2,4,1,3,8,6,7]=>[4,7,5,8,6,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[5,2,4,3,1,8,6,7]=>[4,7,5,6,8,1,3,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[5,3,4,1,2,8,6,7]=>[4,6,5,8,7,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[5,2,3,4,1,8,6,7]=>[4,7,6,5,8,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,6,1,7,4,5,8,3]=>[7,3,8,2,5,4,1,6]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[5,1,7,3,4,6,8,2]=>[4,8,2,6,5,3,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[5,8,7,4,3,1,6,2]=>[4,1,2,5,6,8,3,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[6,8,7,1,4,3,5,2]=>[3,1,2,8,5,6,4,7]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[7,3,1,4,5,8,6,2]=>[2,6,8,5,4,1,3,7]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[6,8,1,3,4,5,7,2]=>[3,1,8,6,5,4,2,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[5,8,1,3,4,6,7,2]=>[4,1,8,6,5,3,2,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[5,2,6,3,7,8,1,4]=>[4,7,3,6,2,1,8,5]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[3,5,2,8,1,6,7,4]=>[6,4,7,1,8,3,2,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[4,5,6,2,8,1,7,3]=>[5,4,3,7,1,8,2,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[2,6,1,4,8,5,7,3]=>[7,3,8,5,1,4,2,6]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,1,8,4,2,5,3,7]=>[3,8,1,5,7,4,6,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[8,4,5,1,6,2,3,7]=>[1,5,4,8,3,7,6,2]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[5,1,6,3,2,8,4,7]=>[4,8,3,6,7,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[3,1,7,8,2,5,4,6]=>[6,8,2,1,7,4,5,3]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,2,8,3,5,7,1,4]=>[3,7,1,6,4,2,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[6,2,3,7,4,1,8,5]=>[3,7,6,2,5,8,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[6,3,7,4,1,2,5,8]=>[3,6,2,5,8,7,4,1]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[7,2,6,8,4,3,1,5]=>[2,7,3,1,5,6,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[3,7,2,8,6,5,1,4]=>[6,2,7,1,3,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[5,2,7,3,6,1,8,4]=>[4,7,2,6,3,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,6,7,5,1,2,4,8]=>[6,3,2,4,8,7,5,1]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[2,7,5,8,1,6,4,3]=>[7,2,4,1,8,3,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[7,4,5,1,8,2,3,6]=>[2,5,4,8,1,7,6,3]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[4,7,1,8,2,3,6,5]=>[5,2,8,1,7,6,3,4]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[7,2,3,1,8,4,5,6]=>[2,7,6,8,1,5,4,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[2,1,4,8,3,7,5,6]=>[7,8,5,1,6,2,4,3]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,2,8,1,7,3,4,5]=>[3,7,1,8,2,6,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,8,1,6,7,3,2,5]=>[5,1,8,3,2,6,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[5,8,1,4,3,2,7,6]=>[4,1,8,5,6,7,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[6,8,1,3,2,4,5,7]=>[3,1,8,6,7,5,4,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[6,3,7,8,2,4,5,1]=>[3,6,2,1,7,5,4,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[8,5,2,4,3,1,7,6]=>[1,4,7,5,6,8,2,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[5,7,4,1,3,2,8,6]=>[4,2,5,8,6,7,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[8,6,2,5,1,7,3,4]=>[1,3,7,4,8,2,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,5,6,2,8,1,3,4]=>[2,4,3,7,1,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[3,5,4,6,7,1,8,2]=>[6,4,5,3,2,8,1,7]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[1,3,2,6,4,8,7,5]=>[8,6,7,3,5,1,2,4]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,5,2,6,4,8,7,3]=>[8,4,7,3,5,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,6,2,5,3,8,7,4]=>[8,3,7,4,6,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[2,5,1,4,3,8,7,6]=>[7,4,8,5,6,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[1,7,3,5,4,8,6,2]=>[8,2,6,4,5,1,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,8,2,6,3,7,5,4]=>[8,1,7,3,6,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,8,3,6,4,7,5,2]=>[8,1,6,3,5,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,7,3,6,4,8,5,2]=>[8,2,6,3,5,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,7,2,6,4,8,5,3]=>[8,2,7,3,5,1,4,6]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,7,2,6,3,8,5,4]=>[8,2,7,3,6,1,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,4,3,7,5,8,6,2]=>[8,5,6,2,4,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,3,2,8,4,7,6,5]=>[8,6,7,1,5,2,3,4]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[4,8,1,3,2,6,5,7]=>[5,1,8,6,7,3,4,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[1,5,2,8,4,7,6,3]=>[8,4,7,1,5,2,3,6]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,5,3,8,4,7,6,2]=>[8,4,6,1,5,2,3,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,6,3,8,4,7,5,2]=>[8,3,6,1,5,2,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,6,2,8,3,7,5,4]=>[8,3,7,1,6,2,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,8,3,7,1,5,4,6]=>[7,1,6,2,8,4,5,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,8,4,7,3,6,5,2]=>[8,1,5,2,6,3,4,7]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[2,6,3,8,1,5,4,7]=>[7,3,6,1,8,4,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[8,3,1,4,2,6,5,7]=>[1,6,8,5,7,3,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,8,7,3,5,2,4,1]=>[3,1,2,6,4,7,5,8]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[8,3,5,1,2,6,4,7]=>[1,6,4,8,7,3,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[8,6,5,4,1,3,2,7]=>[1,3,4,5,8,6,7,2]=>[[1,2,3,4,5,7],[6],[8]]=>[6,2]
[5,3,8,7,4,6,2,1]=>[4,6,1,2,5,3,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[2,3,8,7,4,6,1,5]=>[7,6,1,2,5,3,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,8,7,3,1,5,4,2]=>[3,1,2,6,8,4,5,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[6,8,5,4,1,3,7,2]=>[3,1,4,5,8,6,2,7]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[4,8,7,6,5,1,3,2]=>[5,1,2,3,4,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[3,8,7,5,1,6,2,4]=>[6,1,2,4,8,3,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[2,3,8,7,5,6,1,4]=>[7,6,1,2,4,3,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,8,7,3,5,2,1,4]=>[3,1,2,6,4,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[4,8,7,6,5,2,1,3]=>[5,1,2,3,4,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[4,8,7,5,1,6,2,3]=>[5,1,2,4,8,3,7,6]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[4,5,2,1,8,6,7,3]=>[5,4,7,8,1,3,2,6]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[5,7,2,8,4,6,1,3]=>[4,2,7,1,5,3,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,7,3,2,4,8,5,1]=>[3,2,6,7,5,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[7,2,8,6,4,5,1,3]=>[2,7,1,3,5,4,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[8,7,2,6,5,1,3,4]=>[1,2,7,3,4,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[5,2,7,8,4,1,3,6]=>[4,7,2,1,5,8,6,3]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[2,7,8,6,4,1,3,5]=>[7,2,1,3,5,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[7,6,3,5,2,8,4,1]=>[2,3,6,4,7,1,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,2,7,4,8,5,3,1]=>[3,7,2,5,1,4,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[8,6,5,1,7,2,4,3]=>[1,3,4,8,2,7,5,6]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[6,8,5,1,7,3,2,4]=>[3,1,4,8,2,6,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[1,6,8,3,7,4,2,5]=>[8,3,1,6,2,5,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,1,6,3,4,8,2,7]=>[4,8,3,6,5,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[3,5,2,6,4,8,1,7]=>[6,4,7,3,5,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,5,2,4,8,1,7,6]=>[6,4,7,5,1,8,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[6,3,8,2,4,1,7,5]=>[3,6,1,7,5,8,2,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,6,3,8,7,5,2,1]=>[5,3,6,1,2,4,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[6,3,8,7,5,4,2,1]=>[3,6,1,2,4,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[6,8,4,2,1,7,5,3]=>[3,1,5,7,8,2,4,6]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[5,2,6,4,3,8,1,7]=>[4,7,3,5,6,1,8,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[6,5,3,1,4,8,2,7]=>[3,4,6,8,5,1,7,2]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[3,1,7,8,6,4,2,5]=>[6,8,2,1,3,5,7,4]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[3,8,1,7,6,2,5,4]=>[6,1,8,2,3,7,4,5]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[8,1,7,6,4,2,5,3]=>[1,8,2,3,5,7,4,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[7,2,6,3,8,5,4,1]=>[2,7,3,6,1,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[7,3,8,6,4,1,5,2]=>[2,6,1,3,5,8,4,7]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[6,1,5,2,4,8,3,7]=>[3,8,4,7,5,1,6,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[1,5,6,3,8,2,4,7]=>[8,4,3,6,1,7,5,2]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[8,7,1,3,6,5,2,4]=>[1,2,8,6,3,4,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[2,6,7,4,3,8,5,1]=>[7,3,2,5,6,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[5,2,4,7,3,8,6,1]=>[4,7,5,2,6,1,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[1,5,8,7,2,4,6,3]=>[8,4,1,2,7,5,3,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[1,4,8,7,3,6,5,2]=>[8,5,1,2,6,3,4,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[8,3,7,2,5,1,6,4]=>[1,6,2,7,4,8,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[3,7,2,8,1,5,4,6]=>[6,2,7,1,8,4,5,3]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[3,2,6,1,5,8,4,7]=>[6,7,3,8,4,1,5,2]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[7,2,1,5,8,4,3,6]=>[2,7,8,4,1,5,6,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[7,2,8,1,4,3,6,5]=>[2,7,1,8,5,6,3,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[1,7,8,3,2,6,5,4]=>[8,2,1,6,7,3,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[1,7,4,8,3,2,6,5]=>[8,2,5,1,6,7,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[1,7,5,4,8,3,2,6]=>[8,2,4,5,1,6,7,3]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[6,1,5,4,3,8,2,7]=>[3,8,4,5,6,1,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[1,3,4,5,6,7,9,8,2]=>[9,7,6,5,4,3,1,2,8]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[1,3,4,5,6,7,8,10,9,2]=>[10,8,7,6,5,4,3,1,2,9]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[1,6,4,2,3,5,7,8]=>[8,3,5,7,6,4,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[1,6,5,2,3,4,7,8]=>[8,3,4,7,6,5,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[1,8,5,2,3,4,6,7]=>[8,1,4,7,6,5,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[1,8,7,2,3,4,5,6]=>[8,1,2,7,6,5,4,3]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,3,2,7,6,4,5,8]=>[8,6,7,2,3,5,4,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,5,4,2,3,7,6,8]=>[8,4,5,7,6,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,8,2,3,7,4,5,6]=>[8,1,7,6,2,5,4,3]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[1,5,4,2,3,8,6,7]=>[8,4,5,7,6,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,7,5,8,2,3,4,6]=>[8,2,4,1,7,6,5,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,8,7,5,2,3,4,6]=>[8,1,2,4,7,6,5,3]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[2,1,5,8,6,3,7,4]=>[7,8,4,1,3,6,2,5]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[2,5,8,4,6,1,7,3]=>[7,4,1,5,3,8,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[6,3,2,5,8,1,7,4]=>[3,6,7,4,1,8,2,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[5,3,2,8,6,1,7,4]=>[4,6,7,1,3,8,2,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[5,3,8,6,1,4,7,2]=>[4,6,1,3,8,5,2,7]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[8,3,5,7,2,6,4,1]=>[1,6,4,2,7,3,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[2,4,8,1,7,6,5,3]=>[7,5,1,8,2,3,4,6]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[8,5,4,7,2,6,3,1]=>[1,4,5,2,7,3,6,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[2,7,5,4,6,1,8,3]=>[7,2,4,5,3,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[2,3,7,4,6,1,8,5]=>[7,6,2,5,3,8,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[2,6,7,4,1,3,8,5]=>[7,3,2,5,8,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[2,4,6,3,5,7,8,1]=>[7,5,3,6,4,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[4,1,6,3,5,7,8,2]=>[5,8,3,6,4,2,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[2,3,6,1,5,7,8,4]=>[7,6,3,8,4,2,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[4,3,6,2,5,7,8,1]=>[5,6,3,7,4,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[4,6,1,2,5,7,8,3]=>[5,3,8,7,4,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[2,6,4,1,5,7,8,3]=>[7,3,5,8,4,2,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[8,6,5,3,1,7,4,2]=>[1,3,4,6,8,2,5,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,4,7,3,1,8,5,2]=>[3,5,2,6,8,1,4,7]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,4,7,5,3,1,8,2]=>[3,5,2,4,6,8,1,7]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[6,4,2,7,5,1,8,3]=>[3,5,7,2,4,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,5,4,2,6,3,1,8]=>[2,4,5,7,3,6,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[7,5,4,2,6,1,8,3]=>[2,4,5,7,3,8,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[7,5,4,6,3,1,8,2]=>[2,4,5,3,6,8,1,7]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[4,7,3,1,8,6,5,2]=>[5,2,6,8,1,3,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[4,8,6,5,3,1,7,2]=>[5,1,3,4,6,8,2,7]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[5,6,4,7,3,1,8,2]=>[4,3,5,2,6,8,1,7]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[5,6,4,2,7,1,8,3]=>[4,3,5,7,2,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[5,3,6,8,2,1,7,4]=>[4,6,3,1,7,8,2,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[4,2,7,5,3,1,8,6]=>[5,7,2,4,6,8,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[4,2,8,6,5,3,1,7]=>[5,7,1,3,4,6,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[5,4,2,8,6,3,1,7]=>[4,5,7,1,3,6,8,2]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[5,6,3,2,8,4,1,7]=>[4,3,6,7,1,5,8,2]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[5,3,6,4,8,2,1,7]=>[4,6,3,5,1,7,8,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[6,8,4,3,2,5,1,7]=>[3,1,5,6,7,4,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[4,8,3,2,6,5,1,7]=>[5,1,6,7,3,4,8,2]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[7,3,2,5,4,1,8,6]=>[2,6,7,4,5,8,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[7,3,2,5,1,8,6,4]=>[2,6,7,4,8,1,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,6,3,8,7,2,1,5]=>[5,3,6,1,2,7,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,7,6,3,2,5,1,8]=>[5,2,3,6,7,4,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[4,7,6,3,8,2,1,5]=>[5,2,3,6,1,7,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[4,7,3,8,6,2,1,5]=>[5,2,6,1,3,7,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[5,4,8,7,2,1,6,3]=>[4,5,1,2,7,8,3,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[7,5,4,8,2,1,6,3]=>[2,4,5,1,7,8,3,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[5,7,3,2,6,1,8,4]=>[4,2,6,7,3,8,1,5]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[5,7,3,2,6,4,1,8]=>[4,2,6,7,3,5,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[6,4,2,7,1,8,5,3]=>[3,5,7,2,8,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,2,7,5,1,8,4,3]=>[3,7,2,4,8,1,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[2,7,5,1,8,6,4,3]=>[7,2,4,8,1,3,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,7,5,3,1,8,6,4]=>[7,2,4,6,8,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,8,6,5,3,1,7,4]=>[7,1,3,4,6,8,2,5]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[3,7,5,4,2,6,1,8]=>[6,2,4,5,7,3,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[7,5,2,8,4,3,1,6]=>[2,4,7,1,5,6,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[5,2,8,7,4,3,1,6]=>[4,7,1,2,5,6,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[4,2,7,3,1,8,6,5]=>[5,7,2,6,8,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[7,3,2,4,1,8,6,5]=>[2,6,7,5,8,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[5,3,2,8,7,4,1,6]=>[4,6,7,1,2,5,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,4,3,2,7,5,1,6]=>[1,5,6,7,2,4,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[4,3,7,5,8,2,1,6]=>[5,6,2,4,1,7,8,3]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[4,3,7,5,2,6,1,8]=>[5,6,2,4,7,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[4,5,7,3,2,6,1,8]=>[5,4,2,6,7,3,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[4,5,7,3,8,2,1,6]=>[5,4,2,6,1,7,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[8,4,5,3,7,2,1,6]=>[1,5,4,6,2,7,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[4,3,5,8,7,2,1,6]=>[5,6,4,1,2,7,8,3]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,5,4,8,7,2,1,6]=>[6,4,5,1,2,7,8,3]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[3,6,4,8,2,1,7,5]=>[6,3,5,1,7,8,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[3,4,2,7,1,8,6,5]=>[6,5,7,2,8,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[3,4,2,7,5,1,8,6]=>[6,5,7,2,4,8,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[3,4,2,8,6,5,1,7]=>[6,5,7,1,3,4,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,3,5,2,8,6,1,7]=>[5,6,4,7,1,3,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,5,3,6,8,2,1,7]=>[5,4,6,3,1,7,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[1,8,5,3,4,6,7,2]=>[8,1,4,6,5,3,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[9,3,2,4,5,6,7,8,1]=>[1,7,8,6,5,4,3,2,9]=>[[1,2,3,9],[4],[5],[6],[7],[8]]=>[8,1]
[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[7,8,4,1,6,3,5,2]=>[2,1,5,8,3,6,4,7]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[2,8,6,5,3,1,4,7]=>[7,1,3,4,6,8,5,2]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[5,4,8,6,2,3,1,7]=>[4,5,1,3,7,6,8,2]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[4,8,7,5,2,3,1,6]=>[5,1,2,4,7,6,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[4,1,2,8,6,5,3,7]=>[5,8,7,1,3,4,6,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[8,5,1,3,2,6,4,7]=>[1,4,8,6,7,3,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[4,6,1,8,5,2,3,7]=>[5,3,8,1,4,7,6,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[8,5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[6,4,1,8,7,3,2,5]=>[3,5,8,1,2,6,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[3,7,1,2,8,5,4,6]=>[6,2,8,7,1,4,5,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[3,7,6,1,5,8,4,2]=>[6,2,3,8,4,1,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[8,3,2,7,4,6,5,1]=>[1,6,7,2,5,3,4,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[7,5,8,4,1,3,6,2]=>[2,4,1,5,8,6,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[7,1,6,2,3,8,4,5]=>[2,8,3,7,6,1,5,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,7,1,6,2,5,3,4]=>[1,2,8,3,7,4,6,5]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[2,8,7,3,5,1,6,4]=>[7,1,2,6,4,8,3,5]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[8,7,5,2,3,6,1,4]=>[1,2,4,7,6,3,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[3,1,7,4,8,6,2,5]=>[6,8,2,5,1,3,7,4]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[3,8,5,1,4,7,2,6]=>[6,1,4,8,5,2,7,3]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[6,4,1,8,7,2,3,5]=>[3,5,8,1,2,7,6,4]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[8,2,3,1,6,7,5,4]=>[1,7,6,8,3,2,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,7,2,4,1,5,8,3]=>[3,2,7,5,8,4,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[5,1,2,8,4,7,6,3]=>[4,8,7,1,5,2,3,6]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[7,1,4,8,5,6,2,3]=>[2,8,5,1,4,3,7,6]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[5,2,6,8,4,7,1,3]=>[4,7,3,1,5,2,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[3,6,5,8,2,7,1,4]=>[6,3,4,1,7,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[7,1,6,3,8,2,5,4]=>[2,8,3,6,1,7,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[7,3,8,1,4,6,5,2]=>[2,6,1,8,5,3,4,7]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[2,3,1,9,4,5,6,7,8]=>[8,7,9,1,6,5,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8],[9]]=>[2,2,5]
[1,8,2,3,4,5,6,7,9]=>[9,2,8,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[2,7]
[7,4,6,1,3,2,5,8]=>[2,5,3,8,6,7,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[1,4,5,8,6,3,2,7]=>[8,5,4,1,3,6,7,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[3,7,4,5,6,2,1,8]=>[6,2,5,4,3,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[4,5,2,6,7,3,1,8]=>[5,4,7,3,2,6,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[8,1,7,5,3,6,2,4]=>[1,8,2,4,6,3,7,5]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,8,6,3,1,7,2,4]=>[4,1,3,6,8,2,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[4,8,6,3,5,7,2,1]=>[5,1,3,6,4,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[2,1,6,5,8,3,4,7]=>[7,8,3,4,1,6,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[5,2,6,3,1,7,8,4]=>[4,7,3,6,8,2,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[7,2,5,6,3,1,8,4]=>[2,7,4,3,6,8,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[4,8,6,5,1,7,2,3]=>[5,1,3,4,8,2,7,6]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[4,3,5,1,6,7,8,2]=>[5,6,4,8,3,2,1,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[5,1,4,3,6,7,8,2]=>[4,8,5,6,3,2,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[4,6,5,2,3,7,8,1]=>[5,3,4,7,6,2,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[3,6,7,5,1,2,8,4]=>[6,3,2,4,8,7,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[5,7,6,8,1,2,4,3]=>[4,2,3,1,8,7,5,6]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[3,1,5,8,7,6,4,2]=>[6,8,4,1,2,3,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,4,6,1,5,2,8,7]=>[6,5,3,8,4,7,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[5,6,3,7,1,4,8,2]=>[4,3,6,2,8,5,1,7]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[5,3,2,1,8,6,4,7]=>[4,6,7,8,1,3,5,2]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[3,8,7,4,5,1,2,6]=>[6,1,2,5,4,8,7,3]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,6,3,4,1,7,8,5]=>[7,3,6,5,8,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[3,8,6,4,5,7,2,1]=>[6,1,3,5,4,2,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]=>[6,4]
[1,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[1,9,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[2,1,8,7,6,5,4,3,9]=>[8,9,2,3,4,5,6,7,1]=>[[1,2,5,6,7,8],[3,4],[9]]=>[3,6]
[2,8,9,7,6,5,4,3,1]=>[8,2,1,3,4,5,6,7,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[7,8,6,1,4,5,2,3]=>[2,1,3,8,5,4,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[7,5,1,4,6,2,8,3]=>[2,4,8,5,3,7,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,5,8,1,4,6,2,3]=>[2,4,1,8,5,3,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,5,1,3,6,8,2,4]=>[2,4,8,6,3,1,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[6,5,3,1,7,8,2,4]=>[3,4,6,8,2,1,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[6,5,8,4,1,7,2,3]=>[3,4,1,5,8,2,7,6]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[1,8,5,4,7,6,2,3]=>[8,1,4,5,2,3,7,6]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[1,8,5,4,6,7,2,3]=>[8,1,4,5,3,2,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[6,4,3,7,8,2,1,5]=>[3,5,6,2,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[6,5,8,3,7,2,1,4]=>[3,4,1,6,2,7,8,5]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[6,5,3,7,2,1,8,4]=>[3,4,6,2,7,8,1,5]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[7,8,5,3,6,2,1,4]=>[2,1,4,6,3,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[7,8,5,3,6,2,4,1]=>[2,1,4,6,3,7,5,8]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[6,4,8,3,2,7,5,1]=>[3,5,1,6,7,2,4,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[7,8,4,3,2,6,5,1]=>[2,1,5,6,7,3,4,8]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[1,8,4,3,2,6,5,7]=>[8,1,5,6,7,3,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,8,4,3,2,6,7,5]=>[8,1,5,6,7,3,2,4]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[7,8,4,3,2,6,1,5]=>[2,1,5,6,7,3,8,4]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[5,4,3,8,2,1,7,6]=>[4,5,6,1,7,8,2,3]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[6,4,8,3,2,1,7,5]=>[3,5,1,6,7,8,2,4]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[1,8,4,3,2,7,6,5]=>[8,1,5,6,7,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[6,5,3,1,2,8,7,4]=>[3,4,6,8,7,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,5,8,1,3,2,6,4]=>[2,4,1,8,6,7,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,6,1,3,2,8,5,4]=>[2,3,8,6,7,1,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,8,6,7,3,2,5,4]=>[8,1,3,2,6,7,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[1,8,6,7,3,2,4,5]=>[8,1,3,2,6,7,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[7,6,1,3,2,8,4,5]=>[2,3,8,6,7,1,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,8,6,1,3,2,4,5]=>[2,1,3,8,6,7,5,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[6,5,8,3,1,2,4,7]=>[3,4,1,6,8,7,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[1,8,4,3,2,7,5,6]=>[8,1,5,6,7,2,4,3]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,4,3,8,2,1,6,7]=>[4,5,6,1,7,8,3,2]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[5,4,3,8,2,6,1,7]=>[4,5,6,1,7,3,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[6,4,8,3,2,5,1,7]=>[3,5,1,6,7,4,8,2]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,8,4,3,2,5,7,6]=>[8,1,5,6,7,4,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[6,4,8,3,2,5,7,1]=>[3,5,1,6,7,4,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[5,4,3,8,2,6,7,1]=>[4,5,6,1,7,3,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[6,4,2,3,5,1,8,7]=>[3,5,7,6,4,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,2,3,6,1,4,8,7]=>[4,7,6,3,8,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,8,2,5,7,3,1,6]=>[5,1,7,4,2,6,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[5,8,2,3,4,7,1,6]=>[4,1,7,6,5,2,8,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[3,8,5,1,4,7,6,2]=>[6,1,4,8,5,2,3,7]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[8,1,5,2,3,7,6,4]=>[1,8,4,7,6,2,3,5]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,4,2,3,7,8,5,1]=>[3,5,7,6,2,1,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[8,4,2,3,6,7,1,5]=>[1,5,7,6,3,2,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[4,5,8,3,7,2,1,6]=>[5,4,1,6,2,7,8,3]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,5,1,8,4,6,2,7]=>[6,4,8,1,5,3,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[4,2,1,5,6,8,3,7]=>[5,7,8,4,3,1,6,2]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[4,1,2,6,5,8,3,7]=>[5,8,7,3,4,1,6,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,2,7,5,8,1,3,6]=>[5,7,2,4,1,8,6,3]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[4,3,6,2,1,8,7,5]=>[5,6,3,7,8,1,2,4]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,7,4,5,1,6,2,8]=>[6,2,5,4,8,3,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,6,4,5,8,2,1,7]=>[6,3,5,4,1,7,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[6,1,4,5,2,8,7,3]=>[3,8,5,4,7,1,2,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[7,2,4,5,1,6,3,8]=>[2,7,5,4,8,3,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[7,5,4,1,6,3,2,8]=>[2,4,5,8,3,6,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,8,7,5,3,6,4,2]=>[8,1,2,4,6,3,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[8,5,4,1,6,3,2,7]=>[1,4,5,8,3,6,7,2]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,7,4,8,6,2,1,3]=>[4,2,5,1,3,7,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[5,3,6,8,2,7,1,4]=>[4,6,3,1,7,2,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[6,3,7,4,8,2,1,5]=>[3,6,2,5,1,7,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[5,3,6,1,4,7,2,8]=>[4,6,3,8,5,2,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[5,3,7,4,8,2,1,6]=>[4,6,2,5,1,7,8,3]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[5,3,8,4,1,6,2,7]=>[4,6,1,5,8,3,7,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[5,8,4,1,6,3,2,7]=>[4,1,5,8,3,6,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[1,5,8,3,6,7,4,2]=>[8,4,1,6,3,2,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,8,2,5,6,7,3,4]=>[8,1,7,4,3,2,6,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[8,3,1,2,5,7,4,6]=>[1,6,8,7,4,2,5,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,1,4,2,6,5,3,7]=>[1,8,5,7,3,4,6,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[2,5,8,7,4,3,6,1]=>[7,4,1,2,5,6,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[5,4,1,8,3,2,7,6]=>[4,5,8,1,6,7,2,3]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[5,1,4,3,8,7,2,6]=>[4,8,5,6,1,2,7,3]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,2,1,4,8,3,6,7]=>[4,7,8,5,1,6,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,8,1,2,3,6,4,7]=>[4,1,8,7,6,3,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[5,6,8,2,3,4,1,7]=>[4,3,1,7,6,5,8,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[2,3,5,7,4,6,8,1]=>[7,6,4,2,5,3,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[3,7,4,5,8,1,2,6]=>[6,2,5,4,1,8,7,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[3,7,8,1,4,5,2,6]=>[6,2,1,8,5,4,7,3]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[5,8,2,1,6,3,4,7]=>[4,1,7,8,3,6,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[5,4,2,1,3,6,8,7]=>[4,5,7,8,6,3,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[4,8,3,1,5,7,2,6]=>[5,1,6,8,4,2,7,3]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[5,3,1,4,7,2,8,6]=>[4,6,8,5,2,7,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,3,1,7,4,2,8,6]=>[4,6,8,2,5,7,1,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[4,8,5,3,7,1,2,6]=>[5,1,4,6,2,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[4,8,5,7,3,1,2,6]=>[5,1,4,2,6,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[4,8,7,5,1,3,2,6]=>[5,1,2,4,8,6,7,3]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[4,2,8,5,1,3,6,7]=>[5,7,1,4,8,6,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[1,6,3,8,2,5,4,7]=>[8,3,6,1,7,4,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,8,5,7,2,4,3,6]=>[8,1,4,2,7,5,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,8,5,4,2,3,6,7]=>[8,1,4,5,7,6,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[1,3,6,8,5,4,2,7]=>[8,6,3,1,4,5,7,2]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,8,2,6,4,5,3,7]=>[8,1,7,3,5,4,6,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[1,5,2,7,4,8,3,6]=>[8,4,7,2,5,1,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,4,2,7,5,8,3,6]=>[8,5,7,2,4,1,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[1,8,2,3,6,7,5,4]=>[8,1,7,6,3,2,4,5]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[1,3,6,8,2,7,5,4]=>[8,6,3,1,7,2,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[1,6,5,4,3,8,2,7]=>[8,3,4,5,6,1,7,2]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[1,8,3,6,2,4,5,7]=>[8,1,6,3,7,5,4,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,8,3,6,2,5,4,7]=>[8,1,6,3,7,4,5,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,4,5,8,3,6,2,7]=>[8,5,4,1,6,3,7,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,2,7,8,4,5,3,6]=>[8,7,2,1,5,4,6,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[7,2,8,4,3,6,5,1]=>[2,7,1,5,6,3,4,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,2,8,5,6,3,4,1]=>[2,7,1,4,3,6,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,6,3,8,5,4,2,1]=>[2,3,6,1,4,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[6,2,8,7,5,4,1,3]=>[3,7,1,2,4,5,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[6,2,8,4,3,7,1,5]=>[3,7,1,5,6,2,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[5,2,8,4,3,1,7,6]=>[4,7,1,5,6,8,2,3]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[1,4,7,3,2,6,8,5]=>[8,5,2,6,7,3,1,4]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[1,5,7,3,6,2,8,4]=>[8,4,2,6,3,7,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[3,6,2,7,1,5,4,8]=>[6,3,7,2,8,4,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,2,5,4,8,3,7,6]=>[8,7,4,5,1,6,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[1,4,3,5,8,2,7,6]=>[8,5,6,4,1,7,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[1,4,3,6,8,7,2,5]=>[8,5,6,3,1,2,7,4]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[1,5,3,7,6,8,2,4]=>[8,4,6,2,3,1,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[1,6,4,5,7,8,2,3]=>[8,3,5,4,2,1,7,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[4,2,6,5,7,8,1,3]=>[5,7,3,4,2,1,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[3,2,5,7,6,8,1,4]=>[6,7,4,2,3,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[3,2,4,6,8,7,1,5]=>[6,7,5,3,1,2,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[5,3,2,6,8,4,7,1]=>[4,6,7,3,1,5,2,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[3,1,8,6,4,7,2,5]=>[6,8,1,3,5,2,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[3,1,6,8,5,4,2,7]=>[6,8,3,1,4,5,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[5,3,2,8,7,6,4,1]=>[4,6,7,1,2,3,5,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[2,4,8,1,7,6,3,5]=>[7,5,1,8,2,3,6,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,6,1,5,7,3,2,8]=>[5,3,8,4,2,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,8,1,6,4,2,7,3]=>[4,1,8,3,5,7,2,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[5,4,2,7,6,3,1,8]=>[4,5,7,2,3,6,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[6,5,4,8,3,7,2,1]=>[3,4,5,1,6,2,7,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[2,6,8,5,1,4,3,7]=>[7,3,1,4,8,5,6,2]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[2,7,5,1,8,4,6,3]=>[7,2,4,8,1,5,3,6]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[7,8,5,2,1,6,4,3]=>[2,1,4,7,8,3,5,6]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[7,6,4,8,1,2,5,3]=>[2,3,5,1,8,7,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,8,4,3,1,6,2,5]=>[2,1,5,6,8,3,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[2,4,5,8,7,3,1,6]=>[7,5,4,1,2,6,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,4,5,8,6,7,1,3]=>[7,5,4,1,3,2,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[4,3,1,5,6,2,8,7]=>[5,6,8,4,3,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[4,1,5,8,6,7,2,3]=>[5,8,4,1,3,2,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,3,7,5,6,2,8,1]=>[5,6,2,4,3,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,5,1,8,6,7,3,2]=>[5,4,8,1,3,2,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,1,5,8,6,7,4,3]=>[7,8,4,1,3,2,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[4,7,1,5,6,2,8,3]=>[5,2,8,4,3,7,1,6]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[5,3,8,6,4,7,2,1]=>[4,6,1,3,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[6,4,1,5,7,8,3,2]=>[3,5,8,4,2,1,6,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[3,8,4,6,1,7,2,5]=>[6,1,5,3,8,2,7,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[3,8,6,5,2,7,4,1]=>[6,1,3,4,7,2,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[5,1,4,6,7,2,8,3]=>[4,8,5,3,2,7,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[2,1,6,5,3,7,8,4]=>[7,8,3,4,6,2,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[6,1,4,7,2,3,8,5]=>[3,8,5,2,7,6,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[2,3,1,4,5,6,8,9,7]=>[8,7,9,6,5,4,2,1,3]=>[[1,3],[2,9],[4],[5],[6],[7],[8]]=>[2,6,1]
[2,3,1,4,5,6,7,9,8]=>[8,7,9,6,5,4,3,1,2]=>[[1,3],[2,9],[4],[5],[6],[7],[8]]=>[2,6,1]
[1,3,2,4,5,6,7,9,8]=>[9,7,8,6,5,4,3,1,2]=>[[1,3],[2,9],[4],[5],[6],[7],[8]]=>[2,6,1]
[1,6,2,5,4,8,3,7]=>[8,3,7,4,5,1,6,2]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,1,2,7,5,8,3,6]=>[5,8,7,2,4,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[6,1,3,5,8,2,4,7]=>[3,8,6,4,1,7,5,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[5,6,4,3,1,8,2,7]=>[4,3,5,6,8,1,7,2]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[6,2,3,5,8,1,4,7]=>[3,7,6,4,1,8,5,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[6,7,2,3,8,4,5,1]=>[3,2,7,6,1,5,4,8]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,7,2,1,3,8,4,5]=>[3,2,7,8,6,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,7,4,1,8,3,2,6]=>[4,2,5,8,1,6,7,3]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[4,1,7,5,8,3,6,2]=>[5,8,2,4,1,6,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[6,7,1,3,8,4,5,2]=>[3,2,8,6,1,5,4,7]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[1,6,7,4,3,8,5,2]=>[8,3,2,5,6,1,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,1,7,4,2,8,5,3]=>[3,8,2,5,7,1,4,6]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[2,1,6,7,4,3,8,5]=>[7,8,3,2,5,6,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[6,7,3,2,1,8,4,5]=>[3,2,6,7,8,1,5,4]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[2,5,7,3,1,4,8,6]=>[7,4,2,6,8,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[6,7,3,2,8,4,5,1]=>[3,2,6,7,1,5,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[1,2,6,7,4,3,8,5]=>[8,7,3,2,5,6,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,7,1,8,4,6,3,5]=>[7,2,8,1,5,3,6,4]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[2,7,5,8,1,6,3,4]=>[7,2,4,1,8,3,6,5]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[6,7,1,8,4,5,3,2]=>[3,2,8,1,5,4,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[8,3,7,6,1,2,5,4]=>[1,6,2,3,8,7,4,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[8,7,3,4,6,2,5,1]=>[1,2,6,5,3,7,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,2,5,7,1,4,6,3]=>[1,7,4,2,8,5,3,6]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[8,2,4,7,1,5,6,3]=>[1,7,5,2,8,4,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[8,2,3,4,7,1,5,6]=>[1,7,6,5,2,8,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,7,3,5,6,2,4,1]=>[1,2,6,4,3,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,7,4,6,5,2,3,1]=>[1,2,5,3,4,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[8,4,6,7,5,1,2,3]=>[1,5,3,2,4,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[8,4,6,7,5,1,3,2]=>[1,5,3,2,4,8,6,7]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,3,5,7,6,1,4,2]=>[1,6,4,2,3,8,5,7]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,7,3,6,2,1,5,4]=>[1,2,6,3,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[8,7,3,4,6,2,1,5]=>[1,2,6,5,3,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,7,4,6,5,2,1,3]=>[1,2,5,3,4,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[8,6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[8,4,3,7,6,5,1,2]=>[1,5,6,2,3,4,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[8,5,7,6,4,1,2,3]=>[1,4,2,3,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,4,2,7,5,1,6,3]=>[1,5,7,2,4,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,4,7,6,5,1,2,3]=>[1,5,2,3,4,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[8,5,2,6,7,4,1,3]=>[1,4,7,3,2,5,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,5,3,7,6,4,1,2]=>[1,4,6,2,3,5,8,7]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[8,6,2,5,7,3,1,4]=>[1,3,7,4,2,6,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,6,2,4,7,3,1,5]=>[1,3,7,5,2,6,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,5,2,3,7,4,1,6]=>[1,4,7,6,2,5,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[8,5,1,7,3,6,2,4]=>[1,4,8,2,6,3,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[8,6,1,5,4,3,2,7]=>[1,3,8,4,5,6,7,2]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[2,7,4,6,1,5,8,3]=>[7,2,5,3,8,4,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[2,5,3,4,8,1,6,7]=>[7,4,6,5,1,8,3,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[2,3,8,4,5,1,6,7]=>[7,6,1,5,4,8,3,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[8,7,3,1,5,4,6,2]=>[1,2,6,8,4,5,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[6,2,5,4,8,3,1,7]=>[3,7,4,5,1,6,8,2]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,6,5,4,8,3,2,7]=>[8,3,4,5,1,6,7,2]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[1,6,4,8,5,3,2,7]=>[8,3,5,1,4,6,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[8,2,4,3,1,5,6,7]=>[1,7,5,6,8,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[1,7,3,5,8,4,6,2]=>[8,2,6,4,1,5,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[6,5,4,8,2,3,1,7]=>[3,4,5,1,7,6,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,7,5,1,3,4,6,2]=>[1,2,4,8,6,5,3,7]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,7,2,1,4,6,5,3]=>[1,2,7,8,5,3,4,6]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[4,1,5,3,8,6,2,7]=>[5,8,4,6,1,3,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[4,6,5,1,8,3,2,7]=>[5,3,4,8,1,6,7,2]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[6,5,7,1,3,2,8,4]=>[3,4,2,8,6,7,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[2,7,3,6,4,8,5,1]=>[7,2,6,3,5,1,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,7,1,5,8,4,6,2]=>[6,2,8,4,1,5,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[3,8,1,4,2,5,6,7]=>[6,1,8,5,7,4,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[2,1,8,4,3,5,6,7]=>[7,8,1,5,6,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[1,3,7,6,4,8,5,2]=>[8,6,2,3,5,1,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,2,7,5,8,4,6,3]=>[8,7,2,4,1,5,3,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,1,8,7,5,4,2,6]=>[6,8,1,2,4,5,7,3]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[4,8,1,6,5,3,2,7]=>[5,1,8,3,4,6,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[8,4,1,7,6,3,2,5]=>[1,5,8,2,3,6,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[5,4,1,7,6,3,2,8]=>[4,5,8,2,3,6,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[6,4,1,8,5,3,2,7]=>[3,5,8,1,4,6,7,2]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,4,1,7,5,3,2,6]=>[1,5,8,2,4,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[7,4,1,6,5,3,2,8]=>[2,5,8,3,4,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[7,5,6,1,4,3,2,8]=>[2,4,3,8,5,6,7,1]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,5,6,1,4,3,2,7]=>[1,4,3,8,5,6,7,2]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[5,7,6,1,4,3,2,8]=>[4,2,3,8,5,6,7,1]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[5,8,6,1,4,3,2,7]=>[4,1,3,8,5,6,7,2]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[6,7,5,1,4,3,2,8]=>[3,2,4,8,5,6,7,1]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[8,7,5,1,4,3,2,6]=>[1,2,4,8,5,6,7,3]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[8,6,5,1,4,3,2,7]=>[1,3,4,8,5,6,7,2]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[8,6,1,7,2,5,3,4]=>[1,3,8,2,7,4,6,5]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[1,8,6,3,4,2,5,7]=>[8,1,3,6,5,7,4,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[3,1,6,4,5,2,7,8]=>[6,8,3,5,4,7,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[3,1,6,7,8,5,2,4]=>[6,8,3,2,1,4,7,5]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[3,1,6,4,5,8,2,7]=>[6,8,3,5,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,6,8,7,2,5,1,3]=>[5,3,1,2,7,4,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[5,6,3,7,4,2,8,1]=>[4,3,6,2,5,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[6,2,3,7,5,1,8,4]=>[3,7,6,2,4,8,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[6,2,3,1,7,5,8,4]=>[3,7,6,8,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,6,3,1,4,8,5,2]=>[2,3,6,8,5,1,4,7]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[6,1,7,3,5,2,8,4]=>[3,8,2,6,4,7,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,6,3,8,4,5,2,1]=>[2,3,6,1,5,4,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[6,8,1,7,4,5,3,2]=>[3,1,8,2,5,4,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[5,2,1,4,7,6,8,3]=>[4,7,8,5,2,3,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[5,2,7,8,1,4,3,6]=>[4,7,2,1,8,5,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[5,6,3,8,4,1,2,7]=>[4,3,6,1,5,8,7,2]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[4,6,7,3,5,1,8,2]=>[5,3,2,6,4,8,1,7]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[4,6,7,3,5,1,2,8]=>[5,3,2,6,4,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[8,2,7,6,1,4,5,3]=>[1,7,2,3,8,5,4,6]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[5,2,3,4,7,1,6,8]=>[4,7,6,5,2,8,3,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[5,2,3,4,7,8,1,6]=>[4,7,6,5,2,1,8,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[8,7,5,3,1,6,4,2]=>[1,2,4,6,8,3,5,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[3,7,4,2,5,1,6,8]=>[6,2,5,7,4,8,3,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[1,4,7,8,5,2,3,6]=>[8,5,2,1,4,7,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,2,6,7,4,1,5,8]=>[6,7,3,2,5,8,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[6,7,3,5,1,8,4,2]=>[3,2,6,4,8,1,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[7,6,3,5,2,1,4,8]=>[2,3,6,4,7,8,5,1]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[4,6,3,2,5,8,1,7]=>[5,3,6,7,4,1,8,2]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,6,8,7,4,1,3,5]=>[7,3,1,2,5,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[5,8,3,7,6,4,1,2]=>[4,1,6,2,3,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[6,5,1,7,2,4,8,3]=>[3,4,8,2,7,5,1,6]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[3,6,7,1,4,2,5,8]=>[6,3,2,8,5,7,4,1]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[4,7,5,8,2,1,3,6]=>[5,2,4,1,7,8,6,3]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[6,1,5,2,7,4,3,8]=>[3,8,4,7,2,5,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[8,1,2,7,5,4,3,6]=>[1,8,7,2,4,5,6,3]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[6,5,1,8,3,7,2,4]=>[3,4,8,1,6,2,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[8,1,5,3,2,6,4,7]=>[1,8,4,6,7,3,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,8,3,6,5,4,2,7]=>[8,1,6,3,4,5,7,2]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[7,6,1,5,4,3,2,8]=>[2,3,8,4,5,6,7,1]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[4,6,5,2,8,1,3,7]=>[5,3,4,7,1,8,6,2]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[5,3,1,7,4,6,2,8]=>[4,6,8,2,5,3,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[1,8,7,5,3,2,6,4]=>[8,1,2,4,6,7,3,5]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[5,1,7,6,3,2,8,4]=>[4,8,2,3,6,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[4,7,6,2,5,1,3,8]=>[5,2,3,7,4,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[4,7,3,1,5,6,8,2]=>[5,2,6,8,4,3,1,7]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[7,8,1,5,4,2,3,6]=>[2,1,8,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,1,8,4,5,6,3,7]=>[7,8,1,5,4,3,6,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[2,7,5,1,4,6,3,8]=>[7,2,4,8,5,3,6,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[7,2,1,4,5,3,8,6]=>[2,7,8,5,4,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[3,4,6,8,1,5,7,2]=>[6,5,3,1,8,4,2,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,2,5,6,1,3,7,8]=>[5,7,4,3,8,6,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[5,7,6,1,4,3,8,2]=>[4,2,3,8,5,6,1,7]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[6,8,1,7,5,4,2,3]=>[3,1,8,2,4,5,7,6]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[7,6,3,1,2,8,5,4]=>[2,3,6,8,7,1,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[5,6,7,1,4,2,8,3]=>[4,3,2,8,5,7,1,6]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[6,3,5,7,1,4,2,8]=>[3,6,4,2,8,5,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[5,2,6,7,4,8,1,3]=>[4,7,3,2,5,1,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[6,7,5,2,4,1,3,8]=>[3,2,4,7,5,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[5,7,6,1,3,4,8,2]=>[4,2,3,8,6,5,1,7]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,5,6,4,8,1,3,2]=>[2,4,3,5,1,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[1,2,5,7,8,4,6,3]=>[8,7,4,2,1,5,3,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[8,6,1,7,5,2,4,3]=>[1,3,8,2,4,7,5,6]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[7,6,4,1,8,3,2,5]=>[2,3,5,8,1,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,4,1,6,5,2,7,3]=>[1,5,8,3,4,7,2,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[1,5,3,4,7,8,2,6]=>[8,4,6,5,2,1,7,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[5,4,1,6,7,8,2,3]=>[4,5,8,3,2,1,7,6]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[4,1,5,3,7,8,2,6]=>[5,8,4,6,2,1,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[8,1,4,6,5,2,7,3]=>[1,8,5,3,4,7,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,1,5,4,6,3,2,8]=>[2,8,4,5,3,6,7,1]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[5,2,4,3,7,1,6,8]=>[4,7,5,6,2,8,3,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[6,1,5,4,8,3,2,7]=>[3,8,4,5,1,6,7,2]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,3,6,4,7,8,2,5]=>[8,6,3,5,2,1,7,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[5,2,3,1,7,8,4,6]=>[4,7,6,8,2,1,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[7,6,4,3,1,5,2,8]=>[2,3,5,6,8,4,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,5,4,6,1,3,2,8]=>[2,4,5,3,8,6,7,1]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,4,6,5,1,2,7,3]=>[1,5,3,4,8,7,2,6]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[8,6,5,7,2,1,4,3]=>[1,3,4,2,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[1,6,3,8,4,5,7,2]=>[8,3,6,1,5,4,2,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[7,5,4,2,6,3,8,1]=>[2,4,5,7,3,6,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,1,4,3,2,8,6,5]=>[2,8,5,6,7,1,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[9,7,6,5,4,3,1,2,8]=>[1,3,4,5,6,7,9,8,2]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[2,3,8,4,7,5,6,1]=>[7,6,1,5,2,4,3,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[3,7,4,6,2,5,8,1]=>[6,2,5,3,7,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[6,2,7,3,1,8,4,5]=>[3,7,2,6,8,1,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[4,3,7,8,6,2,5,1]=>[5,6,2,1,3,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[8,2,3,4,7,5,6,1]=>[1,7,6,5,2,4,3,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[2,4,7,8,6,1,5,3]=>[7,5,2,1,3,8,4,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[2,6,7,3,8,5,1,4]=>[7,3,2,6,1,4,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[2,4,8,5,1,7,3,6]=>[7,5,1,4,8,2,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,8,3,5,1,6,4,7]=>[7,1,6,4,8,3,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,4,6,2,5,7,8,1]=>[6,5,3,7,4,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[4,5,2,6,1,7,8,3]=>[5,4,7,3,8,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[4,5,3,8,2,1,7,6]=>[5,4,6,1,7,8,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,8,3,2,5,1,6,7]=>[5,1,6,7,4,8,3,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[2,5,4,8,3,7,1,6]=>[7,4,5,1,6,2,8,3]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,4,8,6,1,3,2,7]=>[4,5,1,3,8,6,7,2]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[5,7,4,2,8,6,3,1]=>[4,2,5,7,1,3,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[4,6,2,3,8,5,7,1]=>[5,3,7,6,1,4,2,8]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,7,2,4,5,6,8,1]=>[6,2,7,5,4,3,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[8,5,3,4,7,2,6,1]=>[1,4,6,5,2,7,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[4,3,5,8,2,7,1,6]=>[5,6,4,1,7,2,8,3]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,3,8,2,5,6,1,7]=>[5,6,1,7,4,3,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[8,2,1,4,5,6,7,3]=>[1,7,8,5,4,3,2,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[1,4,2,8,6,5,3,7]=>[8,5,7,1,3,4,6,2]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,8,5,3,2,6,4,7]=>[8,1,4,6,7,3,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,2,3,7,8,1,6,4]=>[4,7,6,2,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[5,2,8,6,3,1,7,4]=>[4,7,1,3,6,8,2,5]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[6,2,3,5,1,8,7,4]=>[3,7,6,4,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[8,6,3,2,5,7,1,4]=>[1,3,6,7,4,2,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[4,5,7,8,6,2,1,3]=>[5,4,2,1,3,7,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,8,3,2,4,6,7,5]=>[8,1,6,7,5,3,2,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[1,2,7,5,3,4,6,8]=>[8,7,2,4,6,5,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[1,2,7,4,5,3,8,6]=>[8,7,2,5,4,6,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[7,2,1,3,6,8,4,5]=>[2,7,8,6,3,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,2,1,7,8,3,4,5]=>[3,7,8,2,1,6,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,6,5,2,7,1,8,3]=>[5,3,4,7,2,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[6,7,2,5,3,1,8,4]=>[3,2,7,4,6,8,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,7,2,5,4,1,8,6]=>[6,2,7,4,5,8,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[7,4,2,6,3,1,8,5]=>[2,5,7,3,6,8,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[2,6,4,7,5,1,8,3]=>[7,3,5,2,4,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[3,4,7,6,5,1,8,2]=>[6,5,2,3,4,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,4,7,6,2,8,5,1]=>[6,5,2,3,7,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[4,7,8,2,6,5,3,1]=>[5,2,1,7,3,4,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[4,7,8,1,6,5,3,2]=>[5,2,1,8,3,4,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[3,6,7,1,5,4,2,8]=>[6,3,2,8,4,5,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,5,8,6,1,4,2,7]=>[6,4,1,3,8,5,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,6,4,7,2,8,5,3]=>[8,3,5,2,7,1,4,6]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[1,3,7,5,2,8,4,6]=>[8,6,2,4,7,1,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[1,4,7,6,3,8,5,2]=>[8,5,2,3,6,1,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,7,8,2,6,5,4,3]=>[8,2,1,7,3,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[1,3,6,2,7,5,4,8]=>[8,6,3,7,2,4,5,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[1,8,2,6,5,4,3,7]=>[8,1,7,3,4,5,6,2]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[1,8,4,2,7,6,3,5]=>[8,1,5,7,2,3,6,4]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,6,1,7,5,4,3,8]=>[7,3,8,2,4,5,6,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,7,1,6,5,4,3,8]=>[7,2,8,3,4,5,6,1]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[8,7,2,6,5,4,3,1]=>[1,2,7,3,4,5,6,8]=>[[1,2,3,5,6,7,8],[4]]=>[4,4]
[8,2,1,6,5,4,3,7]=>[1,7,8,3,4,5,6,2]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[7,4,2,8,1,6,3,5]=>[2,5,7,1,8,3,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[5,2,8,6,1,4,3,7]=>[4,7,1,3,8,5,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[7,3,8,1,6,5,4,2]=>[2,6,1,8,3,4,5,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[7,3,8,2,6,5,4,1]=>[2,6,1,7,3,4,5,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[4,6,5,3,1,7,2,8]=>[5,3,4,6,8,2,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,3,6,1,2,8,7,4]=>[4,6,3,8,7,1,2,5]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[3,5,4,1,2,8,7,6]=>[6,4,5,8,7,1,2,3]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[4,6,5,1,2,8,7,3]=>[5,3,4,8,7,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[6,8,1,2,7,5,3,4]=>[3,1,8,7,2,4,6,5]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,6,2,3,8,7,5,1]=>[5,3,7,6,1,2,4,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[3,2,7,4,8,6,5,1]=>[6,7,2,5,1,3,4,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[8,1,6,2,7,5,4,3]=>[1,8,3,7,2,4,5,6]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[5,2,1,7,3,8,6,4]=>[4,7,8,2,6,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[6,1,2,8,5,4,3,7]=>[3,8,7,1,4,5,6,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[7,1,3,8,6,5,4,2]=>[2,8,6,1,3,4,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[7,2,3,8,6,5,4,1]=>[2,7,6,1,3,4,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[8,1,3,7,6,5,4,2]=>[1,8,6,2,3,4,5,7]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[1,3,7,4,8,6,5,2]=>[8,6,2,5,1,3,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,4,1,8,7,3,6,5]=>[7,5,8,1,2,6,3,4]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[2,8,6,1,5,4,3,7]=>[7,1,3,8,4,5,6,2]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,6,1,5,8,4,3,7]=>[7,3,8,4,1,5,6,2]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[2,8,1,5,4,3,6,7]=>[7,1,8,4,5,6,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,3,8,6,1,5,4,2]=>[2,6,1,3,8,4,5,7]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[3,5,1,6,8,4,2,7]=>[6,4,8,3,1,5,7,2]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[3,5,1,7,8,2,6,4]=>[6,4,8,2,1,7,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[3,7,8,6,1,5,4,2]=>[6,2,1,3,8,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[7,8,4,6,1,5,3,2]=>[2,1,5,3,8,4,6,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[5,4,6,8,3,2,1,7]=>[4,5,3,1,6,7,8,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[6,4,5,8,3,2,1,7]=>[3,5,4,1,6,7,8,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[5,3,6,1,8,4,2,7]=>[4,6,3,8,1,5,7,2]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[6,3,8,7,1,5,4,2]=>[3,6,1,2,8,4,5,7]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[8,6,4,7,1,5,3,2]=>[1,3,5,2,8,4,6,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[6,4,7,1,5,3,2,8]=>[3,5,2,8,4,6,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[8,5,4,7,2,1,6,3]=>[1,4,5,2,7,8,3,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[4,5,7,2,1,6,3,8]=>[5,4,2,7,8,3,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[5,6,4,8,3,2,1,7]=>[4,3,5,1,6,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[5,7,4,8,2,1,6,3]=>[4,2,5,1,7,8,3,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[3,6,1,7,2,8,5,4]=>[6,3,8,2,7,1,4,5]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[5,7,4,2,6,3,8,1]=>[4,2,5,7,3,6,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[5,7,4,1,6,2,8,3]=>[4,2,5,8,3,7,1,6]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[7,8,3,1,5,2,6,4]=>[2,1,6,8,4,7,3,5]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[8,3,4,1,7,5,2,6]=>[1,6,5,8,2,4,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,8,7,3,1,4,2,5]=>[3,1,2,6,8,5,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[8,5,6,1,7,3,2,4]=>[1,4,3,8,2,6,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[4,5,1,6,7,8,3,2]=>[5,4,8,3,2,1,6,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[5,8,2,6,7,4,1,3]=>[4,1,7,3,2,5,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,6,8,2,1,7,3,4]=>[4,3,1,7,8,2,6,5]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[6,4,8,7,2,1,3,5]=>[3,5,1,2,7,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[4,5,2,6,1,3,8,7]=>[5,4,7,3,8,6,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[5,1,6,8,2,7,3,4]=>[4,8,3,1,7,2,6,5]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[5,2,6,3,4,7,8,1]=>[4,7,3,6,5,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[4,6,2,3,5,7,8,1]=>[5,3,7,6,4,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[8,3,6,5,7,1,2,4]=>[1,6,3,4,2,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[8,2,3,7,1,5,4,6]=>[1,7,6,2,8,4,5,3]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[2,8,6,7,3,1,4,5]=>[7,1,3,2,6,8,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[8,4,6,7,2,5,1,3]=>[1,5,3,2,7,4,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[3,4,6,7,2,5,8,1]=>[6,5,3,2,7,4,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[7,1,4,6,8,3,5,2]=>[2,8,5,3,1,6,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,8,2,6,1,4,5,3]=>[2,1,7,3,8,5,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,5,8,2,1,3,6,4]=>[2,4,1,7,8,6,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[3,7,1,5,6,8,4,2]=>[6,2,8,4,3,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[6,7,1,2,4,8,5,3]=>[3,2,8,7,5,1,4,6]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[1,6,3,4,7,8,5,2]=>[8,3,6,5,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,3,6,4,7,5,8,1]=>[7,6,3,5,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[2,5,3,7,4,6,8,1]=>[7,4,6,2,5,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[7,4,8,1,3,5,6,2]=>[2,5,1,8,6,4,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[4,2,7,3,5,6,8,1]=>[5,7,2,6,4,3,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[7,8,1,3,4,5,6,2]=>[2,1,8,6,5,4,3,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[8,7,2,4,5,6,1,3]=>[1,2,7,5,4,3,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,8,2,6,7,3,4,5]=>[8,1,7,3,2,6,5,4]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[6,1,4,5,2,3,8,7]=>[3,8,5,4,7,6,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[7,1,2,6,3,8,5,4]=>[2,8,7,3,6,1,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,8,4,1,2,6,3,5]=>[2,1,5,8,7,3,6,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[8,1,2,6,3,7,5,4]=>[1,8,7,3,6,2,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[8,1,2,7,6,3,5,4]=>[1,8,7,2,3,6,4,5]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[4,8,7,3,1,6,2,5]=>[5,1,2,6,8,3,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[8,4,3,1,6,2,7,5]=>[1,5,6,8,3,7,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,4,3,1,8,6,2,5]=>[2,5,6,8,1,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[8,3,5,7,4,2,1,6]=>[1,6,4,2,5,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[4,3,7,2,8,6,1,5]=>[5,6,2,7,1,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[7,1,2,8,6,3,5,4]=>[2,8,7,1,3,6,4,5]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[5,1,2,6,3,8,7,4]=>[4,8,7,3,6,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[5,1,2,7,3,8,6,4]=>[4,8,7,2,6,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[6,1,2,7,3,5,8,4]=>[3,8,7,2,6,4,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[7,3,6,2,1,8,4,5]=>[2,6,3,7,8,1,5,4]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[7,5,3,2,1,8,6,4]=>[2,4,6,7,8,1,3,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[4,2,1,5,3,6,7,8]=>[5,7,8,4,6,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,6,4,3,2,1,9,7,5]=>[2,4,6,7,8,9,1,3,5]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,2]
[7,5,4,3,2,1,8,6,9]=>[3,5,6,7,8,9,2,4,1]=>[[1,2,3,4,5,6],[7,8],[9]]=>[7,2]
[3,1,4,2,5,6,7,8,9]=>[7,9,6,8,5,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>[3,6]
[6,2,5,4,1,8,7,3]=>[3,7,4,5,8,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,5,3,2,1,8,7,4]=>[3,4,6,7,8,1,2,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[8,4,3,2,7,6,1,5]=>[1,5,6,7,2,3,8,4]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,5,8,4,7,6,3,2]=>[8,4,1,5,2,3,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[6,8,3,7,5,2,1,4]=>[3,1,6,2,4,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[5,7,8,4,3,2,1,6]=>[4,2,1,5,6,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[6,4,3,8,5,2,1,7]=>[3,5,6,1,4,7,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[7,2,5,4,8,6,1,3]=>[2,7,4,5,1,3,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[3,2,5,4,8,6,1,7]=>[6,7,4,5,1,3,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[3,2,8,6,5,4,1,7]=>[6,7,1,3,4,5,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[8,4,3,6,5,2,1,7]=>[1,5,6,3,4,7,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[8,4,3,7,5,2,1,6]=>[1,5,6,2,4,7,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[6,8,7,4,3,2,1,5]=>[3,1,2,5,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[6,3,2,1,8,7,4,5]=>[3,6,7,8,1,2,5,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[6,2,3,1,8,7,4,5]=>[3,7,6,8,1,2,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[3,4,7,1,8,5,6,2]=>[6,5,2,8,1,4,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[7,2,5,1,8,3,6,4]=>[2,7,4,8,1,6,3,5]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[6,1,4,5,8,2,7,3]=>[3,8,5,4,1,7,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[7,1,4,6,8,2,5,3]=>[2,8,5,3,1,7,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[8,6,1,5,3,7,4,2]=>[1,3,8,4,6,2,5,7]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[8,3,6,4,1,7,5,2]=>[1,6,3,5,8,2,4,7]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[5,3,8,6,1,7,4,2]=>[4,6,1,3,8,2,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,3,1,5,2,8,6,4]=>[2,6,8,4,7,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[3,7,4,1,5,8,6,2]=>[6,2,5,8,4,1,3,7]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[6,8,1,4,3,7,5,2]=>[3,1,8,5,6,2,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[6,7,1,4,3,8,5,2]=>[3,2,8,5,6,1,4,7]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[4,7,1,5,3,8,6,2]=>[5,2,8,4,6,1,3,7]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[2,7,1,4,5,8,6,3]=>[7,2,8,5,4,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[6,8,1,2,4,7,5,3]=>[3,1,8,7,5,2,4,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[7,1,6,4,8,3,5,2]=>[2,8,3,5,1,6,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,6,3,4,1,7,5,2]=>[1,3,6,5,8,2,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[7,2,1,4,5,8,6,3]=>[2,7,8,5,4,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[7,1,5,3,6,8,4,2]=>[2,8,4,6,3,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[8,6,1,4,5,7,3,2]=>[1,3,8,5,4,2,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[8,5,6,1,2,7,4,3]=>[1,4,3,8,7,2,5,6]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[8,5,7,3,2,4,6,1]=>[1,4,2,6,7,5,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[3,6,1,4,5,8,7,2]=>[6,3,8,5,4,1,2,7]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,6,1,3,8,7,2,5]=>[5,3,8,6,1,2,7,4]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[2,8,4,1,3,6,7,5]=>[7,1,5,8,6,3,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,7,4,5,8,6,1,3]=>[7,2,5,4,1,3,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[1,4,7,2,8,6,5,3]=>[8,5,2,7,1,3,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[1,6,7,8,5,2,4,3]=>[8,3,2,1,4,7,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[6,2,4,7,5,1,8,3]=>[3,7,5,2,4,8,1,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[8,1,2,5,4,7,6,3]=>[1,8,7,4,5,2,3,6]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[8,1,2,4,5,6,7,3]=>[1,8,7,5,4,3,2,6]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[7,1,3,4,2,8,6,5]=>[2,8,6,5,7,1,3,4]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[6,1,4,3,2,7,8,5]=>[3,8,5,6,7,2,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[8,7,5,3,1,6,2,4]=>[1,2,4,6,8,3,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,2,8,3,7,4,6,5]=>[8,7,1,6,2,5,3,4]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[8,1,3,7,4,5,2,6]=>[1,8,6,2,5,4,7,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[1,9,2,3,4,5,6,7,8,10]=>[10,2,9,8,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[2,8]
[1,7,2,3,4,5,6,8,9]=>[9,3,8,7,6,5,4,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[2,7]
[8,2,7,4,3,5,6,1]=>[1,7,2,5,6,4,3,8]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[8,2,6,5,4,3,1,7]=>[1,7,3,4,5,6,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[8,2,7,6,4,5,3,1]=>[1,7,2,3,5,4,6,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[8,6,3,5,4,2,1,7]=>[1,3,6,4,5,7,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[10,9,8,6,5,4,3,7,2,1]=>[1,2,3,5,6,7,8,4,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,2]
[4,6,7,2,1,8,3,5]=>[5,3,2,7,8,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[4,5,8,1,3,6,7,2]=>[5,4,1,8,6,3,2,7]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[4,5,8,6,1,3,7,2]=>[5,4,1,3,8,6,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[4,5,8,6,2,7,3,1]=>[5,4,1,3,7,2,6,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[4,6,7,1,5,3,8,2]=>[5,3,2,8,4,6,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[4,6,7,2,1,8,5,3]=>[5,3,2,7,8,1,4,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[4,1,3,5,6,7,8,2]=>[5,8,6,4,3,2,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[3,7,8,4,6,2,5,1]=>[6,2,1,5,3,7,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[3,6,1,5,7,8,2,4]=>[6,3,8,4,2,1,7,5]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[3,8,6,2,5,1,7,4]=>[6,1,3,7,4,8,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[4,5,8,6,2,1,7,3]=>[5,4,1,3,7,8,2,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,6,8,5,2,7,1,3]=>[5,3,1,4,7,2,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[7,8,2,3,5,4,1,6]=>[2,1,7,6,4,5,8,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[2,8,1,5,7,4,6,3]=>[7,1,8,4,2,5,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[5,1,3,2,6,7,4,8]=>[4,8,6,7,3,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[6,7,2,4,8,3,1,5]=>[3,2,7,5,1,6,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[4,5,6,8,3,7,1,2]=>[5,4,3,1,6,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[4,1,3,5,2,6,7,8]=>[5,8,6,4,7,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[5,1,3,7,6,4,8,2]=>[4,8,6,2,3,5,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[4,6,5,1,7,3,2,8]=>[5,3,4,8,2,6,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[4,6,5,1,7,3,8,2]=>[5,3,4,8,2,6,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[5,8,3,2,1,4,6,7]=>[4,1,6,7,8,5,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,3,1,7,2,5,8,4]=>[3,6,8,2,7,4,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[4,5,7,6,3,8,1,2]=>[5,4,2,3,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,7,2,8,5,1,4,6]=>[6,2,7,1,4,8,5,3]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[2,6,5,1,4,3,7,8]=>[7,3,4,8,5,6,2,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[1,6,5,3,7,8,4,2]=>[8,3,4,6,2,1,5,7]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,2,3,4,5,6,8,7,9]=>[9,8,7,6,5,4,2,3,1]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[7,2]
[1,2,3,4,5,6,7,9,8,10]=>[10,9,8,7,6,5,4,2,3,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[8,2]
[2,3,5,1,8,6,4,7]=>[7,6,4,8,1,3,5,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[2,5,3,8,4,6,1,7]=>[7,4,6,1,5,3,8,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,4,5,2,8,6,3,7]=>[8,5,4,7,1,3,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[1,3,5,8,6,4,7,2]=>[8,6,4,1,3,5,2,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[1,3,5,8,6,7,2,4]=>[8,6,4,1,3,2,7,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[8,4,5,1,3,7,2,6]=>[1,5,4,8,6,2,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[7,4,3,1,6,5,8,2]=>[2,5,6,8,3,4,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,6,1,7,5,3,2,4]=>[1,3,8,2,4,6,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[7,8,1,4,6,5,3,2]=>[2,1,8,5,3,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,8,6,1,4,5,3,2]=>[2,1,3,8,5,4,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[5,1,7,6,3,4,2,8]=>[4,8,2,3,6,5,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[6,2,7,3,8,5,4,1]=>[3,7,2,6,1,4,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[6,7,3,4,8,1,5,2]=>[3,2,6,5,1,8,4,7]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[7,2,8,3,6,4,5,1]=>[2,7,1,6,3,5,4,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[1,2,8,7,3,4,6,5]=>[8,7,1,2,6,5,3,4]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[8,7,6,2,4,3,5,1]=>[1,2,3,7,5,6,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[8,2,7,4,5,1,6,3]=>[1,7,2,5,4,8,3,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,1,2,7,4,3,5,6]=>[1,8,7,2,5,6,4,3]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[7,5,4,8,6,1,2,3]=>[2,4,5,1,3,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,1,8,6,4,5,2,3]=>[2,8,1,3,5,4,7,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[6,8,4,3,1,7,2,5]=>[3,1,5,6,8,2,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[8,4,1,3,7,5,6,2]=>[1,5,8,6,2,4,3,7]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[4,8,1,3,7,5,6,2]=>[5,1,8,6,2,4,3,7]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[7,5,4,3,1,2,8,6]=>[2,4,5,6,8,7,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[2,1,6,8,5,3,4,7]=>[7,8,3,1,4,6,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[1,2,6,8,5,3,4,7]=>[8,7,3,1,4,6,5,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[5,6,8,7,3,1,2,4]=>[4,3,1,2,6,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[6,7,5,3,8,1,2,4]=>[3,2,4,6,1,8,7,5]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[6,2,3,4,7,1,8,5]=>[3,7,6,5,2,8,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[5,4,1,2,6,8,7,3]=>[4,5,8,7,3,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[8,5,7,6,3,1,2,4]=>[1,4,2,3,6,8,7,5]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[6,8,5,7,3,1,2,4]=>[3,1,4,2,6,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[5,1,4,2,6,8,7,3]=>[4,8,5,7,3,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[6,3,2,4,7,1,8,5]=>[3,6,7,5,2,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,7,8,3,6,1,2,4]=>[4,2,1,6,3,8,7,5]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[8,4,1,2,5,7,6,3]=>[1,5,8,7,4,2,3,6]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[4,8,1,2,5,7,6,3]=>[5,1,8,7,4,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[1,5,8,6,2,4,3,7]=>[8,4,1,3,7,5,6,2]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,5,3,7,2,6,8,4]=>[8,4,6,2,7,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[5,1,8,6,2,4,3,7]=>[4,8,1,3,7,5,6,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[1,5,2,4,8,6,7,3]=>[8,4,7,5,1,3,2,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[5,7,6,8,3,1,2,4]=>[4,2,3,1,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[6,8,7,5,3,1,2,4]=>[3,1,2,4,6,8,7,5]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[6,8,7,2,1,5,3,4]=>[3,1,2,7,8,4,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,3,6,1,4,8,2,5]=>[2,6,3,8,5,1,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[6,7,5,1,8,4,2,3]=>[3,2,4,8,1,5,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[8,2,6,1,7,5,3,4]=>[1,7,3,8,2,4,6,5]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[3,8,4,2,6,1,7,5]=>[6,1,5,7,3,8,2,4]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[3,5,6,8,4,2,7,1]=>[6,4,3,1,5,7,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,3,6,2,8,5,7,1]=>[5,6,3,7,1,4,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[4,6,8,2,1,3,7,5]=>[5,3,1,7,8,6,2,4]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[1,7,2,3,5,8,6,4]=>[8,2,7,6,4,1,3,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[4,6,2,3,5,1,7,8]=>[5,3,7,6,4,8,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[2,8,3,7,5,1,6,4]=>[7,1,6,2,4,8,3,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,1,8,6,5,2,7,3]=>[5,8,1,3,4,7,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[6,4,8,7,2,1,5,3]=>[3,5,1,2,7,8,4,6]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[3,2,8,1,6,7,5,4]=>[6,7,1,8,3,2,4,5]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[1,8,2,3,7,5,6,4]=>[8,1,7,6,2,4,3,5]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[2,8,3,1,4,7,6,5]=>[7,1,6,8,5,2,3,4]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[6,4,7,2,8,3,5,1]=>[3,5,2,7,1,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[3,8,1,6,4,7,2,5]=>[6,1,8,3,5,2,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,1,2,8,5,3,7,6]=>[5,8,7,1,4,6,2,3]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[1,5,6,3,7,4,8,2]=>[8,4,3,6,2,5,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,8,5,6,4,3,2,7]=>[8,1,4,3,5,6,7,2]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[2,8,3,5,6,4,1,7]=>[7,1,6,4,3,5,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[4,1,5,7,6,8,2,3]=>[5,8,4,2,3,1,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[5,7,2,8,3,1,6,4]=>[4,2,7,1,6,8,3,5]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[2,7,1,4,5,3,8,6]=>[7,2,8,5,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[6,5,8,7,1,3,2,4]=>[3,4,1,2,8,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[2,7,3,5,1,6,8,4]=>[7,2,6,4,8,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[5,7,6,8,2,1,4,3]=>[4,2,3,1,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[1,2,6,5,3,4,7,8]=>[8,7,3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[1,7,2,4,8,3,5,6]=>[8,2,7,5,1,6,4,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[1,6,2,4,5,3,7,8]=>[8,3,7,5,4,6,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[1,6,8,2,4,3,5,7]=>[8,3,1,7,5,6,4,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[1,6,7,2,5,3,4,8]=>[8,3,2,7,4,6,5,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[1,5,8,2,6,7,3,4]=>[8,4,1,7,3,2,6,5]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[1,3,4,8,2,6,7,5]=>[8,6,5,1,7,3,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[1,7,2,5,3,4,8,6]=>[8,2,7,4,6,5,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[7,6,5,4,3,2,1,10,8,9]=>[4,5,6,7,8,9,10,1,3,2]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[8,2]
[4,1,3,7,2,5,8,6]=>[5,8,6,2,7,4,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[6,2,7,5,1,3,8,4]=>[3,7,2,4,8,6,1,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[1,7,5,6,2,3,8,4]=>[8,2,4,3,7,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,7,6,1,2,4,8,5]=>[6,2,3,8,7,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[1,7,4,3,8,2,5,6]=>[8,2,5,6,1,7,4,3]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[3,6,7,5,2,8,1,4]=>[6,3,2,4,7,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[7,8,4,1,5,6,2,3]=>[2,1,5,8,4,3,7,6]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[5,8,1,3,6,7,2,4]=>[4,1,8,6,3,2,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[1,2,5,4,8,3,6,7]=>[8,7,4,5,1,6,3,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[8,3,1,4,7,2,5,6]=>[1,6,8,5,2,7,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[8,2,6,7,5,1,3,4]=>[1,7,3,2,4,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[8,1,7,4,6,2,3,5]=>[1,8,2,5,3,7,6,4]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[2,5,8,4,7,1,3,6]=>[7,4,1,5,2,8,6,3]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[4,5,8,7,1,2,3,6]=>[5,4,1,2,8,7,6,3]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[1,8,7,4,6,2,3,5]=>[8,1,2,5,3,7,6,4]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,6,5,4,1,8,3,7]=>[7,3,4,5,8,1,6,2]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[6,2,5,1,4,8,3,7]=>[3,7,4,8,5,1,6,2]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[6,5,4,1,3,8,2,7]=>[3,4,5,8,6,1,7,2]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,3,8,7,4,2,6,5]=>[8,6,1,2,5,7,3,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[8,7,4,3,1,5,2,6]=>[1,2,5,6,8,4,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,2,5,1,4,6,7,3]=>[1,7,4,8,5,3,2,6]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[3,8,4,5,1,6,7,2]=>[6,1,5,4,8,3,2,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[8,5,4,1,3,6,7,2]=>[1,4,5,8,6,3,2,7]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,3,1,7,5,6,4,2]=>[1,6,8,2,4,3,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,4,7,6,5,3,1,2]=>[1,5,2,3,4,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[8,1,4,5,7,6,3,2]=>[1,8,5,4,2,3,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[2,4,1,8,5,7,6,3]=>[7,5,8,1,4,2,3,6]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,8,4,2,3,7,6,5]=>[8,1,5,7,6,2,3,4]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[8,4,5,7,6,2,3,1]=>[1,5,4,2,3,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[2,3,1,8,7,6,4,5]=>[7,6,8,1,2,3,5,4]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,3,4,8,7,2,5,6]=>[8,6,5,1,2,7,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[8,1,3,4,6,7,2,5]=>[1,8,6,5,3,2,7,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[3,8,2,5,7,4,6,1]=>[6,1,7,4,2,5,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[8,4,2,1,7,5,6,3]=>[1,5,7,8,2,4,3,6]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,2,7,5,6,4,1,3]=>[1,7,2,4,3,5,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[2,8,1,5,7,6,3,4]=>[7,1,8,4,2,3,6,5]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[8,5,7,1,6,4,2,3]=>[1,4,2,8,3,5,7,6]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[2,8,4,7,3,6,5,1]=>[7,1,5,2,6,3,4,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[8,4,7,2,1,6,5,3]=>[1,5,2,7,8,3,4,6]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[8,4,7,1,3,6,5,2]=>[1,5,2,8,6,3,4,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[3,8,1,2,5,6,4,7]=>[6,1,8,7,4,3,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[7,1,2,4,6,5,8,3]=>[2,8,7,5,3,4,1,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[4,5,2,6,7,1,8,3]=>[5,4,7,3,2,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[5,7,1,2,6,8,4,3]=>[4,2,8,7,3,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,8,2,6,4,1,7,3]=>[4,1,7,3,5,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,7,3,4,1,6,2,5]=>[1,2,6,5,8,3,7,4]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[2,7,4,3,8,6,1,5]=>[7,2,5,6,1,3,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,7,6,3,1,5,4,8]=>[7,2,3,6,8,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[8,3,5,4,2,7,1,6]=>[1,6,4,5,7,2,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[3,1,8,6,5,2,7,4]=>[6,8,1,3,4,7,2,5]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[8,3,1,5,2,6,7,4]=>[1,6,8,4,7,3,2,5]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[5,8,3,2,4,1,7,6]=>[4,1,6,7,5,8,2,3]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[7,2,6,8,4,3,5,1]=>[2,7,3,1,5,6,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[6,5,3,2,4,8,1,7]=>[3,4,6,7,5,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[3,6,2,1,4,5,7,8]=>[6,3,7,8,5,4,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[7,2,3,4,6,8,1,5]=>[2,7,6,5,3,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[8,3,4,6,7,5,1,2]=>[1,6,5,3,2,4,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,8,3,4,7,5,2,1]=>[3,1,6,5,2,4,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,8,1,5,7,6,3,2]=>[5,1,8,4,2,3,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[3,7,4,6,8,2,5,1]=>[6,2,5,3,1,7,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[4,7,1,6,8,3,2,5]=>[5,2,8,3,1,6,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[3,7,5,2,8,6,1,4]=>[6,2,4,7,1,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[4,8,5,2,6,7,1,3]=>[5,1,4,7,3,2,8,6]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[5,4,8,6,1,2,7,3]=>[4,5,1,3,8,7,2,6]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[8,4,6,5,2,7,3,1]=>[1,5,3,4,7,2,6,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[8,6,2,3,5,1,7,4]=>[1,3,7,6,4,8,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,2,5,7,4,1,3,6]=>[1,7,4,2,5,8,6,3]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[7,1,3,5,6,2,8,4]=>[2,8,6,4,3,7,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[7,1,5,8,4,6,3,2]=>[2,8,4,1,5,3,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[7,1,4,3,2,8,5,6]=>[2,8,5,6,7,1,4,3]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[5,3,6,1,4,2,8,7]=>[4,6,3,8,5,7,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[5,7,2,1,4,3,8,6]=>[4,2,7,8,5,6,1,3]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[7,2,4,8,1,5,6,3]=>[2,7,5,1,8,4,3,6]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[6,4,2,5,8,1,7,3]=>[3,5,7,4,1,8,2,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,3,8,5,6,2,1,4]=>[2,6,1,4,3,7,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[2,7,4,8,1,5,6,3]=>[7,2,5,1,8,4,3,6]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[4,8,5,3,7,2,1,6]=>[5,1,4,6,2,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[7,4,8,6,5,3,2,1]=>[2,5,1,3,4,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[7,8,4,1,3,5,6,2]=>[2,1,5,8,6,4,3,7]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,2,3,8,1,5,6,4]=>[2,7,6,1,8,4,3,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[6,4,8,7,3,2,1,5]=>[3,5,1,2,6,7,8,4]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[2,7,4,8,6,3,1,5]=>[7,2,5,1,3,6,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[6,4,8,2,3,1,7,5]=>[3,5,1,7,6,8,2,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,1,6,2,3,8,7,4]=>[4,8,3,7,6,1,2,5]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[5,1,6,3,8,2,4,7]=>[4,8,3,6,1,7,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[3,6,5,1,4,8,7,2]=>[6,3,4,8,5,1,2,7]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[6,7,1,5,8,3,4,2]=>[3,2,8,4,1,6,5,7]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[1,6,7,3,8,4,5,2]=>[8,3,2,6,1,5,4,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,5,1,8,4,7,2,3]=>[3,4,8,1,5,2,7,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[3,4,8,6,1,7,5,2]=>[6,5,1,3,8,2,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[7,5,4,8,1,6,2,3]=>[2,4,5,1,8,3,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,1,5,8,7,2,3,4]=>[3,8,4,1,2,7,6,5]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[1,4,5,8,6,3,7,2]=>[8,5,4,1,3,6,2,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[3,4,8,1,7,6,5,2]=>[6,5,1,8,2,3,4,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[4,3,5,8,2,6,1,7]=>[5,6,4,1,7,3,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[6,4,7,2,3,1,5,8]=>[3,5,2,7,6,8,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,8,6,3,1,4,2,5]=>[2,1,3,6,8,5,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,8,6,3,5,1,2,4]=>[2,1,3,6,4,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[7,2,8,5,4,6,3,1]=>[2,7,1,4,5,3,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[6,1,8,4,7,2,3,5]=>[3,8,1,5,2,7,6,4]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[5,6,4,3,7,1,8,2]=>[4,3,5,6,2,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[6,2,8,7,5,3,4,1]=>[3,7,1,2,4,6,5,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[5,6,2,8,7,3,1,4]=>[4,3,7,1,2,6,8,5]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[6,1,8,3,2,5,7,4]=>[3,8,1,6,7,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[6,1,7,8,3,2,4,5]=>[3,8,2,1,6,7,5,4]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[7,1,6,2,5,8,3,4]=>[2,8,3,7,4,1,6,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[6,1,7,4,8,2,5,3]=>[3,8,2,5,1,7,4,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[4,3,2,7,8,5,1,6]=>[5,6,7,2,1,4,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,1,2,4,6,7,8,3]=>[4,8,7,5,3,2,1,6]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[5,3,6,4,1,7,8,2]=>[4,6,3,5,8,2,1,7]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[5,6,2,4,8,3,7,1]=>[4,3,7,5,1,6,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[5,3,7,2,8,4,6,1]=>[4,6,2,7,1,5,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[4,8,3,5,1,7,6,2]=>[5,1,6,4,8,2,3,7]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[7,5,6,2,8,3,4,1]=>[2,4,3,7,1,6,5,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[4,7,6,2,3,8,5,1]=>[5,2,3,7,6,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[7,6,3,2,5,8,1,4]=>[2,3,6,7,4,1,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,3,8,5,4,7,2,1]=>[3,6,1,4,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[8,5,4,7,6,2,3,1]=>[1,4,5,2,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[7,8,2,5,1,3,6,4]=>[2,1,7,4,8,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[8,7,2,5,4,1,6,3]=>[1,2,7,4,5,8,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[1,3,2,4,5,6,7,8,9]=>[9,7,8,6,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[2,7]
[1,3,2,4,5,6,7,8,9,10]=>[10,8,9,7,6,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[2,8]
[1,6,2,7,3,8,4,9,5,10]=>[10,5,9,4,8,3,7,2,6,1]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[2,2,2,2,2]
[2,4,6,3,8,7,5,1]=>[7,5,3,6,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,4,3,6,8,7,1,5]=>[7,5,6,3,1,2,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[2,4,6,3,8,7,1,5]=>[7,5,3,6,1,2,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[2,4,6,8,5,7,3,1]=>[7,5,3,1,4,2,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,4,6,8,1,7,3,5]=>[7,5,3,1,8,2,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[2,4,6,5,8,1,7,3]=>[7,5,3,4,1,8,2,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[2,4,6,8,7,1,5,3]=>[7,5,3,1,2,8,4,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[2,4,6,8,7,1,3,5]=>[7,5,3,1,2,8,6,4]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[2,4,6,8,5,1,3,7]=>[7,5,3,1,4,8,6,2]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[2,4,6,5,1,8,3,7]=>[7,5,3,4,8,1,6,2]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,4,6,5,8,3,1,7]=>[7,5,3,4,1,6,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[2,4,6,8,5,3,1,7]=>[7,5,3,1,4,6,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,8,7,5,2,1,3,6]=>[5,1,2,4,7,8,6,3]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[1,8,6,5,3,2,7,4]=>[8,1,3,4,6,7,2,5]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[4,6,1,7,8,5,3,2]=>[5,3,8,2,1,4,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[6,1,2,7,8,4,5,3]=>[3,8,7,2,1,5,4,6]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[6,1,3,2,7,8,5,4]=>[3,8,6,7,2,1,4,5]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[4,8,3,7,1,6,5,2]=>[5,1,6,2,8,3,4,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[8,7,2,6,5,1,4,3]=>[1,2,7,3,4,8,5,6]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[5,8,3,2,1,7,6,4]=>[4,1,6,7,8,2,3,5]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[5,4,3,8,1,7,6,2]=>[4,5,6,1,8,2,3,7]=>[[1,2,3,5],[4,6,7,8]]=>[4,2,2]
[4,3,8,2,7,6,5,1]=>[5,6,1,7,2,3,4,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[4,8,2,7,6,5,3,1]=>[5,1,7,2,3,4,6,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[7,8,2,6,5,4,1,3]=>[2,1,7,3,4,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[3,8,7,6,2,5,1,4]=>[6,1,2,3,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[4,8,3,7,6,2,5,1]=>[5,1,6,2,3,7,4,8]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[5,8,2,7,6,4,1,3]=>[4,1,7,2,3,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,4,2,1,7,6,5,3]=>[1,5,7,8,2,3,4,6]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[1,8,6,2,7,3,4,5]=>[8,1,3,7,2,6,5,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,5,2,6,4,3,7,8]=>[8,4,7,3,5,6,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,5,2,8,6,3,4,7]=>[8,4,7,1,3,6,5,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,7,2,3,8,5,4,6]=>[8,2,7,6,1,4,5,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[1,6,2,8,5,4,3,7]=>[8,3,7,1,4,5,6,2]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,5,3,8,2,7,4,6]=>[8,4,6,1,7,2,5,3]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,4,8,2,5,6,3,7]=>[8,5,1,7,4,3,6,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[1,5,7,3,2,8,4,6]=>[8,4,2,6,7,1,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[1,7,2,5,8,3,4,6]=>[8,2,7,4,1,6,5,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[8,2,3,4,5,6,7,9,1]=>[2,8,7,6,5,4,3,1,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[2,5,6,3,4,7,1,8]=>[7,4,3,6,5,2,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[1,3,7,5,6,8,4,2]=>[8,6,2,4,3,1,5,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[1,7,5,6,3,8,4,2]=>[8,2,4,3,6,1,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,3,7,5,2,8,6,4]=>[8,6,2,4,7,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,3,7,2,5,8,6,4]=>[8,6,2,7,4,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[1,5,3,7,4,6,2,8]=>[8,4,6,2,5,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[1,5,7,3,6,4,8,2]=>[8,4,2,6,3,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[4,7,3,6,1,8,2,5]=>[5,2,6,3,8,1,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[6,3,4,7,2,1,8,5]=>[3,6,5,2,7,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[5,3,6,8,7,2,1,4]=>[4,6,3,1,2,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[2,3,6,4,1,8,7,5]=>[7,6,3,5,8,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[6,2,4,8,3,1,7,5]=>[3,7,5,1,6,8,2,4]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[7,4,5,2,1,8,6,3]=>[2,5,4,7,8,1,3,6]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[4,7,5,2,1,8,6,3]=>[5,2,4,7,8,1,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[5,6,4,3,8,2,1,7]=>[4,3,5,6,1,7,8,2]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[4,5,7,3,1,2,8,6]=>[5,4,2,6,8,7,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[5,7,4,6,3,2,1,8]=>[4,2,5,3,6,7,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[3,6,1,2,4,8,7,5]=>[6,3,8,7,5,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[6,7,2,3,1,8,5,4]=>[3,2,7,6,8,1,4,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[5,7,2,3,1,8,6,4]=>[4,2,7,6,8,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[8,2,3,4,1,7,6,5]=>[1,7,6,5,8,2,3,4]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,7,5,2,3,6,1,8]=>[5,2,4,7,6,3,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,2,8,4,5,1,3,7]=>[3,7,1,5,4,8,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[7,2,8,5,1,4,3,6]=>[2,7,1,4,8,5,6,3]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,6,7,1,4,2,3,5]=>[1,3,2,8,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,8,7,1,4,3,2,5]=>[3,1,2,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[4,5,3,8,2,1,6,7]=>[5,4,6,1,7,8,3,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[3,8,4,1,7,6,2,5]=>[6,1,5,8,2,3,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[3,7,2,1,8,4,6,5]=>[6,2,7,8,1,5,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[8,7,1,6,5,2,3,4]=>[1,2,8,3,4,7,6,5]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[8,5,1,2,7,6,3,4]=>[1,4,8,7,2,3,6,5]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[3,5,7,8,2,4,6,1]=>[6,4,2,1,7,5,3,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[1,5,4,7,3,6,2,8]=>[8,4,5,2,6,3,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[7,8,3,6,1,5,4,2]=>[2,1,6,3,8,4,5,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[6,2,1,7,4,5,3,8]=>[3,7,8,2,5,4,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[1,2,6,4,7,5,3,8]=>[8,7,3,5,2,4,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[2,6,8,4,7,5,1,3]=>[7,3,1,5,2,4,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,8,2,7,3,6,4,1]=>[4,1,7,2,6,3,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[6,4,1,8,2,7,5,3]=>[3,5,8,1,7,2,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[7,8,5,3,2,6,1,4]=>[2,1,4,6,7,3,8,5]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[7,8,6,1,4,3,2,5]=>[2,1,3,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,4,7,8,6,1,3,5]=>[7,5,2,1,3,8,6,4]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[4,6,2,5,3,1,7,8]=>[5,3,7,4,6,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[4,1,5,6,3,2,7,8]=>[5,8,4,3,6,7,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[6,7,4,3,1,5,2,8]=>[3,2,5,6,8,4,7,1]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,6,5,3,1,8,4,2]=>[2,3,4,6,8,1,5,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[7,8,6,4,3,1,5,2]=>[2,1,3,5,6,8,4,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[4,1,7,8,6,5,3,2]=>[5,8,2,1,3,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[4,5,7,3,8,6,1,2]=>[5,4,2,6,1,3,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[6,8,5,3,7,2,1,4]=>[3,1,4,6,2,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[4,6,7,8,5,3,1,2]=>[5,3,2,1,4,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[4,7,1,5,8,2,6,3]=>[5,2,8,4,1,7,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[3,7,6,1,2,8,5,4]=>[6,2,3,8,7,1,4,5]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[3,7,6,2,1,8,4,5]=>[6,2,3,7,8,1,5,4]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[2,7,5,8,3,6,4,1]=>[7,2,4,1,6,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[7,5,4,8,2,6,3,1]=>[2,4,5,1,7,3,6,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[2,3,6,5,7,8,1,4]=>[7,6,3,4,2,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[4,3,8,7,1,5,2,6]=>[5,6,1,2,8,4,7,3]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,5,2,6,4,7,8,1]=>[6,4,7,3,5,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[4,1,2,8,5,7,6,3]=>[5,8,7,1,4,2,3,6]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[3,1,4,6,7,5,8,2]=>[6,8,5,3,2,4,1,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[2,6,4,5,8,1,3,7]=>[7,3,5,4,1,8,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[5,2,3,6,4,8,1,7]=>[4,7,6,3,5,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[3,4,1,7,2,6,8,5]=>[6,5,8,2,7,3,1,4]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[3,1,6,4,8,7,5,2]=>[6,8,3,5,1,2,4,7]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[8,4,7,5,1,3,6,2]=>[1,5,2,4,8,6,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[5,7,3,1,2,6,8,4]=>[4,2,6,8,7,3,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[8,5,4,2,7,6,3,1]=>[1,4,5,7,2,3,6,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[2,8,4,6,7,1,3,5]=>[7,1,5,3,2,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[2,5,3,1,6,8,7,4]=>[7,4,6,8,3,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,5,1,6,4,8,7,3]=>[7,4,8,3,5,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[5,8,2,1,4,6,7,3]=>[4,1,7,8,5,3,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[8,4,6,1,2,5,7,3]=>[1,5,3,8,7,4,2,6]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[3,5,1,8,6,7,2,4]=>[6,4,8,1,3,2,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[7,8,1,4,3,5,6,2]=>[2,1,8,5,6,4,3,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[2,6,7,8,3,5,1,4]=>[7,3,2,1,6,4,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[3,6,7,8,2,1,5,4]=>[6,3,2,1,7,8,4,5]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[3,6,7,2,8,1,5,4]=>[6,3,2,7,1,8,4,5]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[2,6,7,1,3,5,8,4]=>[7,3,2,8,6,4,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[3,6,7,1,2,8,5,4]=>[6,3,2,8,7,1,4,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,6,7,1,8,2,5,4]=>[6,3,2,8,1,7,4,5]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,4,1,8,7,2,6,5]=>[6,5,8,1,2,7,3,4]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[2,5,1,7,3,6,8,4]=>[7,4,8,2,6,3,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[3,1,5,7,2,8,6,4]=>[6,8,4,2,7,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[3,1,5,7,8,2,6,4]=>[6,8,4,2,1,7,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[3,8,1,4,7,2,6,5]=>[6,1,8,5,2,7,3,4]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[4,8,1,3,2,7,6,5]=>[5,1,8,6,7,2,3,4]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[4,1,8,3,2,7,6,5]=>[5,8,1,6,7,2,3,4]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[4,1,3,8,2,7,6,5]=>[5,8,6,1,7,2,3,4]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[1,4,2,3,7,6,5,8]=>[8,5,7,6,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[4,3,1,8,2,7,6,5]=>[5,6,8,1,7,2,3,4]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[4,3,8,1,2,7,6,5]=>[5,6,1,8,7,2,3,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[4,3,8,2,1,7,6,5]=>[5,6,1,7,8,2,3,4]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[3,4,2,8,7,1,6,5]=>[6,5,7,1,2,8,3,4]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[3,8,4,2,7,1,6,5]=>[6,1,5,7,2,8,3,4]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[2,8,4,3,7,6,1,5]=>[7,1,5,6,2,3,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,4,3,8,7,6,1,5]=>[7,5,6,1,2,3,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,4,5,7,6,1,8,3]=>[7,5,4,2,3,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,4,5,7,6,8,1,3]=>[7,5,4,2,3,1,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[2,3,5,7,8,6,1,4]=>[7,6,4,2,1,3,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[2,3,8,4,7,6,1,5]=>[7,6,1,5,2,3,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[3,8,2,4,7,1,6,5]=>[6,1,7,5,2,8,3,4]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[3,2,4,8,7,1,6,5]=>[6,7,5,1,2,8,3,4]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[3,2,5,7,1,8,6,4]=>[6,7,4,2,8,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[2,3,5,7,1,6,8,4]=>[7,6,4,2,8,3,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[4,2,3,8,1,7,6,5]=>[5,7,6,1,8,2,3,4]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,8,2,3,1,7,6,5]=>[5,1,7,6,8,2,3,4]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[4,8,2,1,3,7,6,5]=>[5,1,7,8,6,2,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[4,2,8,1,3,7,6,5]=>[5,7,1,8,6,2,3,4]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[3,1,2,4,7,8,6,5]=>[6,8,7,5,2,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[2,3,4,6,8,7,1,5]=>[7,6,5,3,1,2,8,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[5,3,4,6,1,7,8,2]=>[4,6,5,3,8,2,1,7]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[2,4,7,6,8,1,3,5]=>[7,5,2,3,1,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[5,6,4,7,1,2,8,3]=>[4,3,5,2,8,7,1,6]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[4,6,7,5,8,2,3,1]=>[5,3,2,4,1,7,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[4,5,7,1,6,8,3,2]=>[5,4,2,8,3,1,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,1,3,5,7,8,4,2]=>[3,8,6,4,2,1,5,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[4,5,1,7,6,8,2,3]=>[5,4,8,2,3,1,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[6,2,7,8,4,1,3,5]=>[3,7,2,1,5,8,6,4]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[8,3,6,7,2,4,1,5]=>[1,6,3,2,7,5,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[6,3,7,8,4,1,2,5]=>[3,6,2,1,5,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[6,2,3,7,8,4,1,5]=>[3,7,6,2,1,5,8,4]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[7,6,2,3,1,8,4,5]=>[2,3,7,6,8,1,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[4,8,5,2,3,1,7,6]=>[5,1,4,7,6,8,2,3]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[4,2,5,1,3,7,8,6]=>[5,7,4,8,6,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[4,3,5,1,2,7,8,6]=>[5,6,4,8,7,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,4,7,5,3,6,2,1]=>[1,5,2,4,6,3,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[8,5,3,1,4,2,7,6]=>[1,4,6,8,5,7,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[3,1,8,5,4,2,7,6]=>[6,8,1,4,5,7,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[8,5,4,3,1,2,7,6]=>[1,4,5,6,8,7,2,3]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,5,4,2,3,1,7,6]=>[1,4,5,7,6,8,2,3]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,3,5,6,1,7,2,4]=>[1,6,4,3,8,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[4,5,8,1,2,6,7,3]=>[5,4,1,8,7,3,2,6]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[1,2,4,8,7,3,5,6]=>[8,7,5,1,2,6,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[2,6,7,3,8,1,4,5]=>[7,3,2,6,1,8,5,4]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[2,8,6,3,1,7,4,5]=>[7,1,3,6,8,2,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[4,7,5,1,2,6,8,3]=>[5,2,4,8,7,3,1,6]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[4,5,8,1,3,2,7,6]=>[5,4,1,8,6,7,2,3]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[4,5,7,2,3,6,1,8]=>[5,4,2,7,6,3,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[2,7,3,4,1,5,6,8]=>[7,2,6,5,8,4,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[7,4,2,1,3,5,8,6]=>[2,5,7,8,6,4,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[3,5,2,4,6,7,8,1]=>[6,4,7,5,3,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[4,2,6,3,5,7,8,1]=>[5,7,3,6,4,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[6,2,3,4,8,5,7,1]=>[3,7,6,5,1,4,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[1,4,8,5,6,2,7,3]=>[8,5,1,4,3,7,2,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[6,3,5,8,4,7,1,2]=>[3,6,4,1,5,2,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[2,8,7,4,5,1,6,3]=>[7,1,2,5,4,8,3,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[1,3,8,5,2,6,7,4]=>[8,6,1,4,7,3,2,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[7,2,8,4,5,1,6,3]=>[2,7,1,5,4,8,3,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[6,2,5,8,4,1,7,3]=>[3,7,4,1,5,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[3,1,8,5,2,6,7,4]=>[6,8,1,4,7,3,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[1,2,8,5,3,6,7,4]=>[8,7,1,4,6,3,2,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[7,1,3,5,2,6,8,4]=>[2,8,6,4,7,3,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[6,8,3,2,1,5,7,4]=>[3,1,6,7,8,4,2,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[1,7,3,5,2,6,8,4]=>[8,2,6,4,7,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[8,5,3,2,1,6,7,4]=>[1,4,6,7,8,3,2,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,7,5,2,3,6,8,4]=>[8,2,4,7,6,3,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,8,1,5,3,6,7,4]=>[7,1,8,4,6,3,2,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[3,8,1,5,2,6,7,4]=>[6,1,8,4,7,3,2,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[4,8,1,5,6,2,7,3]=>[5,1,8,4,3,7,2,6]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[7,8,4,1,5,2,6,3]=>[2,1,5,8,4,7,3,6]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[5,4,3,1,2,7,8,6]=>[4,5,6,8,7,2,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,3,1,5,2,6,8,4]=>[2,6,8,4,7,3,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,1,5,2,3,6,8,4]=>[2,8,4,7,6,3,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[8,1,2,5,3,6,7,4]=>[1,8,7,4,6,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[8,4,1,6,3,7,2,5]=>[1,5,8,3,6,2,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,3,5,8,1,7,2,4]=>[3,6,4,1,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[6,5,2,1,4,8,7,3]=>[3,4,7,8,5,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[5,8,6,3,4,1,7,2]=>[4,1,3,6,5,8,2,7]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[5,4,6,1,7,2,3,8]=>[4,5,3,8,2,7,6,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[7,5,4,1,8,6,2,3]=>[2,4,5,8,1,3,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[8,7,2,3,5,6,4,1]=>[1,2,7,6,4,3,5,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[3,7,2,4,1,5,8,6]=>[6,2,7,5,8,4,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[8,2,7,5,3,4,6,1]=>[1,7,2,4,6,5,3,8]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[7,8,3,4,1,2,6,5]=>[2,1,6,5,8,7,3,4]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[8,2,1,7,4,6,5,3]=>[1,7,8,2,5,3,4,6]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[5,3,7,6,8,4,2,1]=>[4,6,2,3,1,5,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[3,6,7,1,2,5,4,8]=>[6,3,2,8,7,4,5,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[1,3,8,2,4,7,5,6]=>[8,6,1,7,5,2,4,3]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[1,8,3,7,4,2,5,6]=>[8,1,6,2,5,7,4,3]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[5,3,2,6,7,1,8,4]=>[4,6,7,3,2,8,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[3,2,8,6,7,4,1,5]=>[6,7,1,3,2,5,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[4,3,8,6,7,2,1,5]=>[5,6,1,3,2,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[3,8,4,7,6,5,1,2]=>[6,1,5,2,3,4,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[3,2,7,5,6,8,4,1]=>[6,7,2,4,3,1,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,4,1,6,7,2,8,3]=>[4,5,8,3,2,7,1,6]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,2,6,3,8,7,1,4]=>[4,7,3,6,1,2,8,5]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[8,6,1,7,3,4,2,5]=>[1,3,8,2,6,5,7,4]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[1,8,3,6,7,4,2,5]=>[8,1,6,3,2,5,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[1,5,7,3,2,6,4,8]=>[8,4,2,6,7,3,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[8,1,6,7,2,4,3,5]=>[1,8,3,2,7,5,6,4]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,7,2,6,3,5,1,4]=>[1,2,7,3,6,4,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,1,7,6,5,2,3,4]=>[1,8,2,3,4,7,6,5]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[6,7,1,5,2,4,8,3]=>[3,2,8,4,7,5,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[7,6,1,5,2,4,3,8]=>[2,3,8,4,7,5,6,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[7,1,6,3,5,4,2,8]=>[2,8,3,6,4,5,7,1]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[1,6,7,3,5,4,8,2]=>[8,3,2,6,4,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,8,7,6,4,5,2,3]=>[8,1,2,3,5,4,7,6]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[8,2,7,4,6,5,1,3]=>[1,7,2,5,3,4,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[2,8,5,7,6,4,1,3]=>[7,1,4,2,3,5,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[7,4,5,1,6,8,3,2]=>[2,5,4,8,3,1,6,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[4,1,7,5,6,8,3,2]=>[5,8,2,4,3,1,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,6,7,4,3,1,8,2]=>[4,3,2,5,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,4,6,2,5,3,7,8]=>[8,5,3,7,4,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[1,6,8,2,5,4,7,3]=>[8,3,1,7,4,5,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,5,4,2,6,3,7,8]=>[8,4,5,7,3,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,2,6,4,3,5,7,8]=>[8,7,3,5,6,4,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[1,6,8,2,7,5,4,3]=>[8,3,1,7,2,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[1,3,7,6,2,8,5,4]=>[8,6,2,3,7,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,7,6,2,8,4,3,5]=>[8,2,3,7,1,5,6,4]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[1,2,8,5,6,3,4,7]=>[8,7,1,4,3,6,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[1,7,3,5,2,8,6,4]=>[8,2,6,4,7,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[1,6,7,2,5,8,4,3]=>[8,3,2,7,4,1,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,4,5,8,2,6,3,7]=>[8,5,4,1,7,3,6,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,3,8,2,6,5,4,7]=>[8,6,1,7,3,4,5,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[1,2,4,3,8,7,5,6]=>[8,7,5,6,1,2,4,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[1,4,3,8,7,2,5,6]=>[8,5,6,1,2,7,4,3]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[1,7,2,4,8,6,5,3]=>[8,2,7,5,1,3,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,2,8,6,5,4,3,7]=>[8,7,1,3,4,5,6,2]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[5,8,3,1,2,6,4,7]=>[4,1,6,8,7,3,5,2]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[8,4,1,3,5,6,2,7]=>[1,5,8,6,4,3,7,2]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[8,5,3,2,1,6,4,7]=>[1,4,6,7,8,3,5,2]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[8,5,2,4,1,6,3,7]=>[1,4,7,5,8,3,6,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,7,6,1,5,2,3,4]=>[1,2,3,8,4,7,6,5]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[8,6,5,1,3,4,7,2]=>[1,3,4,8,6,5,2,7]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[8,7,5,1,3,6,2,4]=>[1,2,4,8,6,3,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,1,4,8,3,6,5,2]=>[2,8,5,1,6,3,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,8,1,5,3,7,6,2]=>[5,1,8,4,6,2,3,7]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[8,7,3,1,6,4,5,2]=>[1,2,6,8,3,5,4,7]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[8,7,3,1,4,6,5,2]=>[1,2,6,8,5,3,4,7]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[8,4,3,2,7,5,6,1]=>[1,5,6,7,2,4,3,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[6,4,1,7,8,5,3,2]=>[3,5,8,2,1,4,6,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[7,6,3,4,1,8,5,2]=>[2,3,6,5,8,1,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[8,7,3,2,6,1,5,4]=>[1,2,6,7,3,8,4,5]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[5,3,1,7,6,4,2,8]=>[4,6,8,2,3,5,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,8,6,4,2,9,7,5,3]=>[9,2,4,6,8,1,3,5,7]=>[[1,3,4,5],[2,7,8,9],[6]]=>[2,4,3]
[7,5,3,2,1,6,4,8]=>[2,4,6,7,8,3,5,1]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,6,5,3,1,4,2,8]=>[2,3,4,6,8,5,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,8,6,4,3,2,7,5]=>[8,1,3,5,6,7,2,4]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,8,7,6,4,2,5,3]=>[8,1,2,3,5,7,4,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[8,4,6,7,5,3,2,1]=>[1,5,3,2,4,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[1,4,8,6,7,5,3,2]=>[8,5,1,3,2,4,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[7,3,8,5,6,4,2,1]=>[2,6,1,4,3,5,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[7,1,3,6,8,5,4,2]=>[2,8,6,3,1,4,5,7]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[1,8,2,7,5,6,4,3]=>[8,1,7,2,4,3,5,6]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[8,6,1,7,4,5,3,2]=>[1,3,8,2,5,4,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,1,7,6,4,5,3,2]=>[1,8,2,3,5,4,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[7,1,8,6,4,5,3,2]=>[2,8,1,3,5,4,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,6,2,5,4,3,7,8]=>[8,3,7,4,5,6,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[1,8,2,6,4,3,5,7]=>[8,1,7,3,5,6,4,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[1,7,2,5,4,6,3,8]=>[8,2,7,4,5,3,6,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[1,2,8,3,4,7,5,6]=>[8,7,1,6,5,2,4,3]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[6,5,7,2,8,1,4,3]=>[3,4,2,7,1,8,5,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[6,7,3,5,8,1,4,2]=>[3,2,6,4,1,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[6,7,3,5,8,2,4,1]=>[3,2,6,4,1,7,5,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[6,3,7,5,8,1,4,2]=>[3,6,2,4,1,8,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[6,2,7,4,8,1,5,3]=>[3,7,2,5,1,8,4,6]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[8,7,6,4,2,5,3,1]=>[1,2,3,5,7,4,6,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[8,7,4,6,2,3,5,1]=>[1,2,5,3,7,6,4,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[6,8,5,1,4,3,7,2]=>[3,1,4,8,5,6,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[6,1,7,8,4,3,5,2]=>[3,8,2,1,5,6,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[2,7,8,6,4,5,3,1]=>[7,2,1,3,5,4,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[2,6,8,1,3,5,4,7]=>[7,3,1,8,6,4,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[7,2,1,5,3,8,6,4]=>[2,7,8,4,6,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[3,2,7,1,6,8,5,4]=>[6,7,2,8,3,1,4,5]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[7,2,1,8,6,3,5,4]=>[2,7,8,1,3,6,4,5]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,2,4,8,1,7,6,5]=>[6,7,5,1,8,2,3,4]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[4,3,6,8,7,2,1,5]=>[5,6,3,1,2,7,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[8,2,3,1,4,7,5,6]=>[1,7,6,8,5,2,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[4,2,3,1,5,8,6,7]=>[5,7,6,8,4,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[7,5,4,3,2,1,6,8,9]=>[3,5,6,7,8,9,4,2,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9]
[8,6,5,4,3,2,1,7,9]=>[2,4,5,6,7,8,9,3,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[3,1,2,4,5,6,7,8,9,10]=>[8,10,9,7,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[9,7,6,5,4,3,2,1,8,10]=>[2,4,5,6,7,8,9,10,3,1]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[2,4,8,7,5,3,1,6]=>[7,5,1,2,4,6,8,3]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[2,6,8,7,5,3,4,1]=>[7,3,1,2,4,6,5,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[2,6,5,1,4,3,8,7]=>[7,3,4,8,5,6,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[6,5,1,2,4,3,8,7]=>[3,4,8,7,5,6,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[4,6,8,7,5,3,1,2]=>[5,3,1,2,4,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[6,8,7,5,3,1,4,2]=>[3,1,2,4,6,8,5,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[8,7,5,6,3,1,4,2]=>[1,2,4,3,6,8,5,7]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[2,1,4,8,7,3,6,5]=>[7,8,5,1,2,6,3,4]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,8,7,3,1,2,6,5]=>[5,1,2,6,8,7,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[8,7,3,4,1,2,6,5]=>[1,2,6,5,8,7,3,4]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[2,8,7,3,4,6,5,1]=>[7,1,2,6,5,3,4,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[2,8,7,3,6,5,1,4]=>[7,1,2,6,3,4,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[8,7,1,2,6,5,3,4]=>[1,2,8,7,3,4,6,5]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[8,7,1,2,4,3,6,5]=>[1,2,8,7,5,6,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,1,8,7,3,4,6,5]=>[7,8,1,2,6,5,3,4]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[2,8,7,1,4,3,6,5]=>[7,1,2,8,5,6,3,4]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[2,4,8,7,3,1,6,5]=>[7,5,1,2,6,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[2,8,7,3,1,4,6,5]=>[7,1,2,6,8,5,3,4]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[4,3,1,2,6,8,7,5]=>[5,6,8,7,3,1,2,4]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[6,8,7,5,1,2,4,3]=>[3,1,2,4,8,7,5,6]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[8,7,5,6,1,2,4,3]=>[1,2,4,3,8,7,5,6]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,7,2,4,3,6,5,1]=>[1,2,7,5,6,3,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[8,7,5,3,6,4,1,2]=>[1,2,4,6,3,5,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[8,7,1,4,3,6,5,2]=>[1,2,8,5,6,3,4,7]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[8,7,3,4,1,6,5,2]=>[1,2,6,5,8,3,4,7]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[7,1,2,3,5,4,6,8]=>[2,8,7,6,4,5,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[7,1,2,4,3,5,6,8]=>[2,8,7,5,6,4,3,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[6,5,4,1,3,8,7,2]=>[3,4,5,8,6,1,2,7]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[7,5,4,2,8,3,1,6]=>[2,4,5,7,1,6,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[2,5,8,6,1,4,3,7]=>[7,4,1,3,8,5,6,2]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[3,1,6,8,5,7,2,4]=>[6,8,3,1,4,2,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[2,5,6,1,8,4,7,3]=>[7,4,3,8,1,5,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[7,5,4,1,2,8,6,3]=>[2,4,5,8,7,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,2,8,6,4,3,1,5]=>[2,7,1,3,5,6,8,4]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[7,6,3,2,8,4,1,5]=>[2,3,6,7,1,5,8,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[4,1,7,3,5,8,6,2]=>[5,8,2,6,4,1,3,7]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[8,4,7,3,5,2,1,6]=>[1,5,2,6,4,7,8,3]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[5,4,8,1,3,2,6,7]=>[4,5,1,8,6,7,3,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,1,3,5,2,4,6,7]=>[1,8,6,4,7,5,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[1,8,3,5,7,2,4,6]=>[8,1,6,4,2,7,5,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[1,8,7,4,6,2,5,3]=>[8,1,2,5,3,7,4,6]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[1,8,5,7,2,6,4,3]=>[8,1,4,2,7,3,5,6]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[1,3,4,5,6,7,8,2,9]=>[9,7,6,5,4,3,2,8,1]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[7,2]
[1,3,4,5,6,7,8,9,2,10]=>[10,8,7,6,5,4,3,2,9,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[8,2]
[1,5,7,3,6,8,2,4]=>[8,4,2,6,3,1,7,5]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[8,4,6,2,5,7,1,3]=>[1,5,3,7,4,2,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[1,3,4,7,6,8,2,5]=>[8,6,5,2,3,1,7,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[8,1,3,6,7,4,2,5]=>[1,8,6,3,2,5,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[1,2,4,7,8,5,3,6]=>[8,7,5,2,1,4,6,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[3,1,4,7,6,8,2,5]=>[6,8,5,2,3,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,1,3,7,6,8,2,5]=>[5,8,6,2,3,1,7,4]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[5,1,7,3,6,8,2,4]=>[4,8,2,6,3,1,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[6,7,8,2,4,5,1,3]=>[3,2,1,7,5,4,8,6]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[5,8,6,2,4,7,1,3]=>[4,1,3,7,5,2,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[3,8,2,6,5,7,1,4]=>[6,1,7,3,4,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>[2,2,2,2]
[2,8,3,6,7,4,1,5]=>[7,1,6,3,2,5,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,7,2,5,6,3,1,4]=>[1,2,7,4,3,6,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,7,1,6,4,3,2,5]=>[1,2,8,3,5,6,7,4]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[3,8,1,7,5,4,2,6]=>[6,1,8,2,4,5,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[5,8,6,1,7,3,2,4]=>[4,1,3,8,2,6,7,5]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[6,7,1,2,8,4,3,5]=>[3,2,8,7,1,5,6,4]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[2,1,3,8,6,5,4,7]=>[7,8,6,1,3,4,5,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[8,2,1,7,5,4,3,6]=>[1,7,8,2,4,5,6,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,3,2,8,6,5,4,7]=>[8,6,7,1,3,4,5,2]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,4,1,7,6,8,2,5]=>[6,5,8,2,3,1,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[2,5,7,1,8,4,3,6]=>[7,4,2,8,1,5,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,5,7,1,6,8,2,4]=>[6,4,2,8,3,1,7,5]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[4,5,7,6,1,8,2,3]=>[5,4,2,3,8,1,7,6]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[5,4,7,6,8,3,1,2]=>[4,5,2,3,1,6,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[1,5,7,8,6,3,2,4]=>[8,4,2,1,3,6,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,4,6,7,5,2,1,3]=>[1,5,3,2,4,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,3,7,5,6,2,1,4]=>[1,6,2,4,3,7,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,4,8,6,7,3,2,5]=>[8,5,1,3,2,6,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[2,4,8,6,7,3,1,5]=>[7,5,1,3,2,6,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[2,3,8,7,5,4,1,6]=>[7,6,1,2,4,5,8,3]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[1,3,8,7,5,4,2,6]=>[8,6,1,2,4,5,7,3]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[8,2,7,6,4,3,1,5]=>[1,7,2,3,5,6,8,4]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[8,1,7,6,4,3,2,5]=>[1,8,2,3,5,6,7,4]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[4,1,8,6,7,3,2,5]=>[5,8,1,3,2,6,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[4,8,7,5,6,2,1,3]=>[5,1,2,4,3,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[5,6,8,1,7,4,3,2]=>[4,3,1,8,2,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[1,3,9,8,7,6,5,4,2]=>[9,7,1,2,3,4,5,6,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[8,7,1,9,6,5,4,3,2]=>[2,3,9,1,4,5,6,7,8]=>[[1,2,3,6,7,8,9],[4,5]]=>[4,5]
[4,1,8,7,3,6,5,2]=>[5,8,1,2,6,3,4,7]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[5,6,8,4,1,7,3,2]=>[4,3,1,5,8,2,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[4,5,8,7,3,1,6,2]=>[5,4,1,2,6,8,3,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[9,8,1,10,7,6,5,4,3,2]=>[2,3,10,1,4,5,6,7,8,9]=>[[1,2,3,6,7,8,9,10],[4,5]]=>[4,6]
[8,7,6,1,9,5,4,3,2]=>[2,3,4,9,1,5,6,7,8]=>[[1,2,3,4,7,8,9],[5,6]]=>[5,4]
[3,1,8,4,7,6,5,2]=>[6,8,1,5,2,3,4,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[1,5,8,4,3,7,6,2]=>[8,4,1,5,6,2,3,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[8,1,7,2,5,6,4,3]=>[1,8,2,7,4,3,5,6]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[8,1,3,5,2,7,6,4]=>[1,8,6,4,7,2,3,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[2,7,1,5,4,8,6,3]=>[7,2,8,4,5,1,3,6]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[8,6,2,4,3,7,5,1]=>[1,3,7,5,6,2,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[2,4,1,6,7,5,8,3]=>[7,5,8,3,2,4,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[8,1,4,5,6,3,7,2]=>[1,8,5,4,3,6,2,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[8,1,4,5,6,2,7,3]=>[1,8,5,4,3,7,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[8,1,4,7,6,2,5,3]=>[1,8,5,2,3,7,4,6]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[2,5,1,7,8,6,4,3]=>[7,4,8,2,1,3,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,5,6,2,8,7,4,1]=>[6,4,3,7,1,2,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,4,5,1,7,6,3,8]=>[7,5,4,8,2,3,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[7,3,1,5,6,4,2,8]=>[2,6,8,4,3,5,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,3,2,5,6,7,1,4]=>[1,6,7,4,3,2,8,5]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,4,5,3,7,6,2,1]=>[1,5,4,6,2,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[3,4,5,6,2,8,1,7]=>[6,5,4,3,7,1,8,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,7,4,2,8,5,1,6]=>[6,2,5,7,1,4,8,3]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[7,3,4,1,6,8,2,5]=>[2,6,5,8,3,1,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[2,6,3,1,4,7,5,8]=>[7,3,6,8,5,2,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[7,2,1,6,3,4,8,5]=>[2,7,8,3,6,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,3,4,1,6,5,8,2]=>[2,6,5,8,3,4,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[3,7,4,2,5,8,6,1]=>[6,2,5,7,4,1,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[2,3,5,1,4,8,7,6]=>[7,6,4,8,5,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,7,1,3,6,8,5,4]=>[7,2,8,6,3,1,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[2,7,1,3,8,4,6,5]=>[7,2,8,6,1,5,3,4]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,8,7,1,6,2,5,4]=>[6,1,2,8,3,7,4,5]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[3,8,7,1,4,5,2,6]=>[6,1,2,8,5,4,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,7,4,2,1,8,6,5]=>[6,2,5,7,8,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[4,8,5,7,2,6,3,1]=>[5,1,4,2,7,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[8,4,5,7,3,2,6,1]=>[1,5,4,2,6,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,3,7,2,4,1,5,6]=>[1,6,2,7,5,8,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,6,7,2,1,4,3,5]=>[1,3,2,7,8,5,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,3,7,5,1,2,6,4]=>[1,6,2,4,8,7,3,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[7,3,4,6,2,1,5,8]=>[2,6,5,3,7,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[3,7,4,6,1,5,2,8]=>[6,2,5,3,8,4,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,4,7,6,1,2,8,5]=>[6,5,2,3,8,7,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[4,5,8,7,6,1,3,2]=>[5,4,1,2,3,8,6,7]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[8,3,6,7,2,5,1,4]=>[1,6,3,2,7,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,5,7,2,6,4,1,3]=>[1,4,2,7,3,5,8,6]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[8,6,3,7,5,1,4,2]=>[1,3,6,2,4,8,5,7]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[8,7,3,5,6,1,4,2]=>[1,2,6,4,3,8,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[7,6,3,8,1,4,5,2]=>[2,3,6,1,8,5,4,7]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,4,2,5,6,1,8,3]=>[2,5,7,4,3,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[6,4,7,2,1,5,8,3]=>[3,5,2,7,8,4,1,6]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[8,4,2,5,1,6,7,3]=>[1,5,7,4,8,3,2,6]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,7,3,1,4,5,6,2]=>[1,2,6,8,5,4,3,7]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,6,4,1,7,5,2,3]=>[1,3,5,8,2,4,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[8,5,3,1,6,7,4,2]=>[1,4,6,8,3,2,5,7]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,5,3,7,1,6,4,2]=>[1,4,6,2,8,3,5,7]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[7,6,3,8,1,4,2,5]=>[2,3,6,1,8,5,7,4]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,4,7,3,1,5,2,8]=>[3,5,2,6,8,4,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,5,3,1,6,4,2,7]=>[1,4,6,8,3,5,7,2]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[8,7,4,1,5,2,3,6]=>[1,2,5,8,4,7,6,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[8,6,4,1,2,7,5,3]=>[1,3,5,8,7,2,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[1,6,3,8,4,2,5,7]=>[8,3,6,1,5,7,4,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,8,6,4,2,5,3,7]=>[8,1,3,5,7,4,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[7,8,3,4,6,1,5,2]=>[2,1,6,5,3,8,4,7]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[8,1,6,4,2,7,3,5]=>[1,8,3,5,7,2,6,4]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[3,1,7,4,2,5,8,6]=>[6,8,2,5,7,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[1,2,7,4,3,5,6,8]=>[8,7,2,5,6,4,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[6,8,2,5,1,4,7,3]=>[3,1,7,4,8,5,2,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[4,5,2,1,6,8,7,3]=>[5,4,7,8,3,1,2,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[7,4,8,6,1,5,3,2]=>[2,5,1,3,8,4,6,7]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[8,7,2,6,1,4,5,3]=>[1,2,7,3,8,5,4,6]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[5,2,1,3,7,6,4,8]=>[4,7,8,6,2,3,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[5,4,1,2,8,3,7,6]=>[4,5,8,7,1,6,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,1,2,5,3,4,6,8]=>[2,8,7,4,6,5,3,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[1,8,5,2,6,4,3,7]=>[8,1,4,7,3,5,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[1,5,6,2,8,4,3,7]=>[8,4,3,7,1,5,6,2]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,5,8,6,3,1,7,4]=>[7,4,1,3,6,8,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,3,6,1,8,7,4,5]=>[7,6,3,8,1,2,5,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,4,8,6,5,7,2,1]=>[6,5,1,3,4,2,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[1,2,4,7,3,6,5,8]=>[8,7,5,2,6,3,4,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,2,5,7,4,6,8,3]=>[8,7,4,2,5,3,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[2,4,8,5,6,7,1,3]=>[7,5,1,4,3,2,8,6]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[7,8,2,5,1,6,4,3]=>[2,1,7,4,8,3,5,6]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[1,2,4,7,3,6,8,5]=>[8,7,5,2,6,3,1,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[1,2,5,7,4,6,3,8]=>[8,7,4,2,5,3,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,3,8,6,7,5,4,2]=>[8,6,1,3,2,4,5,7]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[4,2,8,5,6,3,7,1]=>[5,7,1,4,3,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,3,7,2,6,8,4,1]=>[4,6,2,7,3,1,5,8]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[8,7,4,6,1,3,5,2]=>[1,2,5,3,8,6,4,7]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[5,7,2,3,4,6,8,1]=>[4,2,7,6,5,3,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[1,3,8,2,7,5,6,4]=>[8,6,1,7,2,4,3,5]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[4,2,1,7,6,8,5,3]=>[5,7,8,2,3,1,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,3,4,7,8,1,5,2]=>[3,6,5,2,1,8,4,7]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[6,7,8,3,4,1,5,2]=>[3,2,1,6,5,8,4,7]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[7,6,8,4,2,1,5,3]=>[2,3,1,5,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[6,8,7,4,3,1,5,2]=>[3,1,2,5,6,8,4,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[7,8,6,2,4,1,5,3]=>[2,1,3,7,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[3,6,7,4,2,5,8,1]=>[6,3,2,5,7,4,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,8,6,3,1,7,5,4]=>[7,1,3,6,8,2,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,6,4,7,2,5,8,1]=>[6,3,5,2,7,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[3,4,6,2,7,5,8,1]=>[6,5,3,7,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[7,4,2,6,8,1,5,3]=>[2,5,7,3,1,8,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,4,6,2,8,1,5,3]=>[2,5,3,7,1,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[7,1,5,8,2,3,6,4]=>[2,8,4,1,7,6,3,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[7,5,6,1,2,4,3,8]=>[2,4,3,8,7,5,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,1,8,4,2,3,5,7]=>[3,8,1,5,7,6,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[7,1,6,3,8,5,4,2]=>[2,8,3,6,1,4,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[7,3,6,2,1,8,5,4]=>[2,6,3,7,8,1,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[1,5,8,7,3,4,6,2]=>[8,4,1,2,6,5,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[6,5,2,3,8,1,4,7]=>[3,4,7,6,1,8,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,8,6,4,2,5,7,3]=>[8,1,3,5,7,4,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,6,2,1,8,4,7,3]=>[4,3,7,8,1,5,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[2,4,1,8,7,5,3,6]=>[7,5,8,1,2,4,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,8,1,6,5,7,3,4]=>[7,1,8,3,4,2,6,5]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[2,4,8,1,7,5,6,3]=>[7,5,1,8,2,4,3,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,2,1,4,8,3,7,6]=>[4,7,8,5,1,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[6,2,3,1,4,8,5,7]=>[3,7,6,8,5,1,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[6,7,5,3,2,1,8,4]=>[3,2,4,6,7,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[3,5,2,1,4,6,7,8]=>[6,4,7,8,5,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[2,1,3,7,6,4,5,8]=>[7,8,6,2,3,5,4,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[4,7,2,6,1,5,8,3]=>[5,2,7,3,8,4,1,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[1,2,3,4,5,7,9,8,6]=>[9,8,7,6,5,3,1,2,4]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[1,2,3,4,6,9,8,7,5]=>[9,8,7,6,4,1,2,3,5]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[1,2,3,5,9,8,7,6,4]=>[9,8,7,5,1,2,3,4,6]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[1,2,4,5,9,8,7,6,3]=>[9,8,6,5,1,2,3,4,7]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[1,2,4,9,8,7,6,5,3]=>[9,8,6,1,2,3,4,5,7]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[1,3,5,7,9,8,6,4,2]=>[9,7,5,3,1,2,4,6,8]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[1,2,3,4,5,7,9,10,8,6]=>[10,9,8,7,6,4,2,1,3,5]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[1,2,3,5,6,7,9,10,8,4]=>[10,9,8,6,5,4,2,1,3,7]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[1,2,3,5,7,9,10,8,6,4]=>[10,9,8,6,4,2,1,3,5,7]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,3]
[1,3,5,7,9,10,8,6,4,2]=>[10,8,6,4,2,1,3,5,7,9]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,4]
[5,3,8,4,6,7,1,2]=>[4,6,1,5,3,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[3,1,8,4,5,2,6,7]=>[6,8,1,5,4,7,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[2,3,8,6,4,7,1,5]=>[7,6,1,3,5,2,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,3,7,8,4,5,1,2]=>[3,6,2,1,5,4,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[6,7,3,4,8,5,1,2]=>[3,2,6,5,1,4,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[7,4,1,8,2,5,6,3]=>[2,5,8,1,7,4,3,6]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[3,1,7,2,5,6,8,4]=>[6,8,2,7,4,3,1,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[7,8,3,1,6,2,4,5]=>[2,1,6,8,3,7,5,4]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[2,3,7,4,5,1,8,6]=>[7,6,2,5,4,8,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[2,3,7,1,5,6,8,4]=>[7,6,2,8,4,3,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[7,3,4,8,1,5,6,2]=>[2,6,5,1,8,4,3,7]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[5,7,2,6,8,1,4,3]=>[4,2,7,3,1,8,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,1,5,7,3,2,8,6]=>[5,8,4,2,6,7,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[5,8,6,2,7,3,1,4]=>[4,1,3,7,2,6,8,5]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[6,5,1,7,8,3,4,2]=>[3,4,8,2,1,6,5,7]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[6,4,1,7,2,8,5,3]=>[3,5,8,2,7,1,4,6]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[5,4,1,7,3,8,6,2]=>[4,5,8,2,6,1,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[7,3,1,6,2,8,5,4]=>[2,6,8,3,7,1,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[6,4,1,8,2,7,3,5]=>[3,5,8,1,7,2,6,4]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[4,8,2,5,3,1,6,7]=>[5,1,7,4,6,8,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[5,4,1,8,3,6,7,2]=>[4,5,8,1,6,3,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[5,1,3,4,8,2,6,7]=>[4,8,6,5,1,7,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[4,6,2,8,1,7,3,5]=>[5,3,7,1,8,2,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[7,2,3,6,1,8,5,4]=>[2,7,6,3,8,1,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,8,2,3,5,1,6,4]=>[2,1,7,6,4,8,3,5]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,8,4,5,1,2,6,3]=>[2,1,5,4,8,7,3,6]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[6,1,4,5,7,8,2,3]=>[3,8,5,4,2,1,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[6,3,4,7,1,8,5,2]=>[3,6,5,2,8,1,4,7]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[5,1,3,4,7,2,8,6]=>[4,8,6,5,2,7,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[7,8,5,1,3,4,6,2]=>[2,1,4,8,6,5,3,7]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,1,3,4,5,6,8,2]=>[2,8,6,5,4,3,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[1,2,4,6,8,7,3,5]=>[8,7,5,3,1,2,6,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[8,5,2,7,6,3,1,4]=>[1,4,7,2,3,6,8,5]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,8,3,5,6,2,7,4]=>[8,1,6,4,3,7,2,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[8,3,2,5,6,1,7,4]=>[1,6,7,4,3,8,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[4,2,5,1,6,8,7,3]=>[5,7,4,8,3,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[8,2,3,5,6,1,7,4]=>[1,7,6,4,3,8,2,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[7,8,6,1,3,4,2,5]=>[2,1,3,8,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[7,8,6,5,1,3,2,4]=>[2,1,3,4,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[1,7,8,5,2,6,3,4]=>[8,2,1,4,7,3,6,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[8,7,1,6,3,2,5,4]=>[1,2,8,3,6,7,4,5]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[7,1,8,6,3,2,5,4]=>[2,8,1,3,6,7,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[7,6,1,2,5,3,8,4]=>[2,3,8,7,4,6,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,6,2,5,8,1,4,3]=>[2,3,7,4,1,8,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,1,7,3,2,4,8,5]=>[3,8,2,6,7,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[7,6,1,2,4,3,8,5]=>[2,3,8,7,5,6,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[6,7,3,1,8,2,5,4]=>[3,2,6,8,1,7,4,5]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,7,2,1,5,3,8,4]=>[3,2,7,8,4,6,1,5]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[6,7,2,3,1,4,8,5]=>[3,2,7,6,8,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[4,3,2,8,7,1,6,5]=>[5,6,7,1,2,8,3,4]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[4,8,3,2,7,1,6,5]=>[5,1,6,7,2,8,3,4]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[5,3,8,7,1,6,4,2]=>[4,6,1,2,8,3,5,7]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[5,3,8,2,1,7,6,4]=>[4,6,1,7,8,2,3,5]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[3,8,7,2,6,5,1,4]=>[6,1,2,7,3,4,8,5]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[7,4,1,8,6,5,3,2]=>[2,5,8,1,3,4,6,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[5,8,4,7,1,6,3,2]=>[4,1,5,2,8,3,6,7]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[5,4,8,3,1,7,6,2]=>[4,5,1,6,8,2,3,7]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[6,1,8,5,4,3,7,2]=>[3,8,1,4,5,6,2,7]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[5,6,1,8,3,4,7,2]=>[4,3,8,1,6,5,2,7]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[6,8,1,5,2,4,7,3]=>[3,1,8,4,7,5,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,1,5,8,4,7,2,3]=>[3,8,4,1,5,2,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[7,2,5,6,1,4,8,3]=>[2,7,4,3,8,5,1,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[5,2,6,8,1,4,7,3]=>[4,7,3,1,8,5,2,6]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[6,7,4,2,5,8,1,3]=>[3,2,5,7,4,1,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[6,7,4,1,2,5,8,3]=>[3,2,5,8,7,4,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[1,6,8,5,2,4,7,3]=>[8,3,1,4,7,5,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[1,6,7,4,2,5,8,3]=>[8,3,2,5,7,4,1,6]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[3,6,7,5,8,1,2,4]=>[6,3,2,4,1,8,7,5]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[1,6,8,5,7,4,2,3]=>[8,3,1,4,2,5,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,8,6,5,7,4,1,2]=>[6,1,3,4,2,5,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[6,7,4,1,5,8,2,3]=>[3,2,5,8,4,1,7,6]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[3,8,1,6,5,7,4,2]=>[6,1,8,3,4,2,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[3,7,4,1,6,5,8,2]=>[6,2,5,8,3,4,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[8,1,6,5,7,4,3,2]=>[1,8,3,4,2,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[6,8,2,1,5,7,4,3]=>[3,1,7,8,4,2,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[5,2,1,6,8,4,7,3]=>[4,7,8,3,1,5,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[6,5,8,7,4,2,3,1]=>[3,4,1,2,5,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[3,1,8,6,5,7,4,2]=>[6,8,1,3,4,2,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[6,8,5,7,4,2,1,3]=>[3,1,4,2,5,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[2,7,5,8,3,1,4,6]=>[7,2,4,1,6,8,5,3]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[2,7,5,6,3,4,8,1]=>[7,2,4,3,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[4,7,5,3,1,6,2,8]=>[5,2,4,6,8,3,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[2,7,5,3,6,1,4,8]=>[7,2,4,6,3,8,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,7,5,3,8,1,6,4]=>[7,2,4,6,1,8,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[4,7,5,3,8,6,1,2]=>[5,2,4,6,1,3,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,7,5,8,6,3,1,4]=>[7,2,4,1,3,6,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,7,5,6,8,3,4,1]=>[7,2,4,3,1,6,5,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[2,7,5,3,1,6,8,4]=>[7,2,4,6,8,3,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[8,7,5,3,1,4,6,2]=>[1,2,4,6,8,5,3,7]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[2,7,5,3,4,6,8,1]=>[7,2,4,6,5,3,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[2,7,5,3,4,6,1,8]=>[7,2,4,6,5,3,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[4,7,5,3,1,2,6,8]=>[5,2,4,6,8,7,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[3,8,7,1,2,5,4,6]=>[6,1,2,8,7,4,5,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,8,7,2,1,5,4,6]=>[6,1,2,7,8,4,5,3]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[4,6,5,7,8,3,1,2]=>[5,3,4,2,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[6,1,7,2,8,4,3,5]=>[3,8,2,7,1,5,6,4]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[4,8,5,6,7,3,1,2]=>[5,1,4,3,2,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[3,7,6,1,8,4,2,5]=>[6,2,3,8,1,5,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[2,7,8,3,1,5,4,6]=>[7,2,1,6,8,4,5,3]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[4,8,5,6,7,2,1,3]=>[5,1,4,3,2,7,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,8,7,2,3,4,1,6]=>[4,1,2,7,6,5,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[5,8,6,2,7,4,1,3]=>[4,1,3,7,2,5,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,4,6,7,8,3,1,5]=>[7,5,3,2,1,6,8,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[4,7,6,2,8,3,1,5]=>[5,2,3,7,1,6,8,4]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[5,8,6,3,7,4,1,2]=>[4,1,3,6,2,5,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[4,5,1,2,8,7,3,6]=>[5,4,8,7,1,2,6,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[5,6,1,2,8,3,7,4]=>[4,3,8,7,1,6,2,5]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[5,8,7,1,6,2,4,3]=>[4,1,2,8,3,7,5,6]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[4,8,5,1,7,6,2,3]=>[5,1,4,8,2,3,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[8,4,5,1,7,6,2,3]=>[1,5,4,8,2,3,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[7,3,1,4,8,2,6,5]=>[2,6,8,5,1,7,3,4]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[5,4,7,1,8,2,6,3]=>[4,5,2,8,1,7,3,6]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[6,8,5,1,3,7,4,2]=>[3,1,4,8,6,2,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[5,7,6,1,3,8,4,2]=>[4,2,3,8,6,1,5,7]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[6,7,5,1,3,8,4,2]=>[3,2,4,8,6,1,5,7]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[6,7,1,4,2,8,5,3]=>[3,2,8,5,7,1,4,6]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[5,7,1,4,2,8,6,3]=>[4,2,8,5,7,1,3,6]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[3,4,1,8,6,5,7,2]=>[6,5,8,1,3,4,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[5,7,1,2,4,8,6,3]=>[4,2,8,7,5,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[6,7,4,1,3,8,5,2]=>[3,2,5,8,6,1,4,7]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[7,6,4,1,3,8,5,2]=>[2,3,5,8,6,1,4,7]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[1,3,6,4,2,5,7,8]=>[8,6,3,5,7,4,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[1,4,5,7,8,3,6,2]=>[8,5,4,2,1,6,3,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[1,5,7,8,2,4,3,6]=>[8,4,2,1,7,5,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[6,8,1,7,2,4,5,3]=>[3,1,8,2,7,5,4,6]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,8,4,7,3,2,1,5]=>[3,1,5,2,6,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[3,8,4,2,7,5,1,6]=>[6,1,5,7,2,4,8,3]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[6,8,3,2,1,5,4,7]=>[3,1,6,7,8,4,5,2]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[6,5,8,2,1,3,4,7]=>[3,4,1,7,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,8,5,3,6,1,4,7]=>[7,1,4,6,3,8,5,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[2,8,1,4,6,7,5,3]=>[7,1,8,5,3,2,4,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[2,8,4,1,7,6,5,3]=>[7,1,5,8,2,3,4,6]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[6,8,5,4,2,7,1,3]=>[3,1,4,5,7,2,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[6,4,8,5,3,2,1,7]=>[3,5,1,4,6,7,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[5,4,1,7,3,2,6,8]=>[4,5,8,2,6,7,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,5,6,1,4,2,7,8]=>[6,4,3,8,5,7,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[1,6,3,8,4,2,7,5]=>[8,3,6,1,5,7,2,4]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[6,5,8,1,2,3,7,4]=>[3,4,1,8,7,6,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[7,1,3,2,4,6,8,5]=>[2,8,6,7,5,3,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[6,4,3,2,7,5,8,1]=>[3,5,6,7,2,4,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,6,7,8,3,5,2,4]=>[8,3,2,1,6,4,7,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,4,6,8,7,1,3,2]=>[4,5,3,1,2,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[3,6,7,8,2,1,4,5]=>[6,3,2,1,7,8,5,4]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[5,2,1,4,7,8,6,3]=>[4,7,8,5,2,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[5,2,4,7,8,6,1,3]=>[4,7,5,2,1,3,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[2,4,5,7,1,8,6,3]=>[7,5,4,2,8,1,3,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,5,7,4,3,2,8,6]=>[8,4,2,5,6,7,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[8,1,6,2,3,4,7,5]=>[1,8,3,7,6,5,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[1,6,7,2,4,3,5,8]=>[8,3,2,7,5,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[1,8,3,4,5,2,7,6]=>[8,1,6,5,4,7,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[1,8,3,6,4,7,2,5]=>[8,1,6,3,5,2,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,4,6,2,5,8,7,3]=>[8,5,3,7,4,1,2,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[6,3,4,1,8,2,7,5]=>[3,6,5,8,1,7,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[1,6,2,5,8,3,7,4]=>[8,3,7,4,1,6,2,5]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[1,7,2,5,8,4,3,6]=>[8,2,7,4,1,5,6,3]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[1,4,6,7,8,3,5,2]=>[8,5,3,2,1,6,4,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,7,5,1,6,8,4,2]=>[6,2,4,8,3,1,5,7]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[5,8,7,4,6,2,3,1]=>[4,1,2,5,3,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[2,7,8,4,6,5,1,3]=>[7,2,1,5,3,4,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,7,8,5,4,6,2,1]=>[6,2,1,4,5,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[2,8,7,4,6,1,5,3]=>[7,1,2,5,3,8,4,6]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[1,6,8,3,5,2,7,4]=>[8,3,1,6,4,7,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[2,6,7,8,4,5,1,3]=>[7,3,2,1,5,4,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[5,7,1,8,2,6,4,3]=>[4,2,8,1,7,3,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[7,2,1,8,6,4,5,3]=>[2,7,8,1,3,5,4,6]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[2,5,8,1,7,4,6,3]=>[7,4,1,8,2,5,3,6]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[4,5,8,3,7,6,2,1]=>[5,4,1,6,2,3,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[2,4,7,8,5,6,1,3]=>[7,5,2,1,4,3,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[4,1,7,8,5,6,3,2]=>[5,8,2,1,4,3,6,7]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[3,5,8,6,4,7,2,1]=>[6,4,1,3,5,2,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[2,6,3,8,5,1,7,4]=>[7,3,6,1,4,8,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[1,4,3,7,2,8,5,6]=>[8,5,6,2,7,1,4,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[4,5,8,2,6,3,1,7]=>[5,4,1,7,3,6,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[6,3,5,2,4,7,1,8]=>[3,6,4,7,5,2,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,2,6,3,4,8,1,7]=>[4,7,3,6,5,1,8,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[5,2,3,8,4,6,1,7]=>[4,7,6,1,5,3,8,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[4,2,3,5,8,6,1,7]=>[5,7,6,4,1,3,8,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[3,8,2,4,6,1,5,7]=>[6,1,7,5,3,8,4,2]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[2,3,8,4,6,1,5,7]=>[7,6,1,5,3,8,4,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[4,3,7,5,2,1,8,6]=>[5,6,2,4,7,8,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[5,3,4,7,6,1,2,8]=>[4,6,5,2,3,8,7,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[6,5,1,3,2,8,4,7]=>[3,4,8,6,7,1,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[5,1,4,3,2,7,6,8]=>[4,8,5,6,7,2,3,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[4,1,3,5,8,7,2,6]=>[5,8,6,4,1,2,7,3]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[3,1,2,7,4,8,6,5]=>[6,8,7,2,5,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[6,2,1,4,8,3,7,5]=>[3,7,8,5,1,6,2,4]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[3,4,7,2,1,8,5,6]=>[6,5,2,7,8,1,4,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[3,8,2,1,4,7,6,5]=>[6,1,7,8,5,2,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[3,2,4,7,1,8,5,6]=>[6,7,5,2,8,1,4,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[2,8,5,4,1,3,7,6]=>[7,1,4,5,8,6,2,3]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[4,2,3,5,7,1,8,6]=>[5,7,6,4,2,8,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[4,2,8,7,1,3,5,6]=>[5,7,1,2,8,6,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[4,8,6,5,3,1,2,7]=>[5,1,3,4,6,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[6,5,4,8,3,1,2,7]=>[3,4,5,1,6,8,7,2]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[5,4,6,3,1,7,2,8]=>[4,5,3,6,8,2,7,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[4,3,6,5,1,8,2,7]=>[5,6,3,4,8,1,7,2]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[1,5,6,8,7,3,2,4]=>[8,4,3,1,2,6,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,4,8,3,6,5,2,7]=>[8,5,1,6,3,4,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[4,8,1,3,6,5,2,7]=>[5,1,8,6,3,4,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[3,5,4,1,6,7,2,8]=>[6,4,5,8,3,2,7,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[3,4,1,8,6,5,2,7]=>[6,5,8,1,3,4,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,3,8,6,4,7,2,5]=>[8,6,1,3,5,2,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,2,8,6,4,3,7,5]=>[8,7,1,3,5,6,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[3,2,1,6,4,8,7,5]=>[6,7,8,3,5,1,2,4]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[6,5,1,8,7,3,2,4]=>[3,4,8,1,2,6,7,5]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,1,7,6,8,3,2,5]=>[5,8,2,3,1,6,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[2,1,7,6,4,3,8,5]=>[7,8,2,3,5,6,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[1,8,4,7,6,2,3,5]=>[8,1,5,2,3,7,6,4]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[5,8,4,7,6,1,3,2]=>[4,1,5,2,3,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[8,3,2,6,1,7,4,5]=>[1,6,7,3,8,2,5,4]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,2,4,7,6,1,3,5]=>[1,7,5,2,3,8,6,4]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[2,6,3,7,4,8,5,1]=>[7,3,6,2,5,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[7,2,3,8,4,5,6,1]=>[2,7,6,1,5,4,3,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[5,2,6,7,8,3,4,1]=>[4,7,3,2,1,6,5,8]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[1,5,2,7,6,3,4,8]=>[8,4,7,2,3,6,5,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[4,1,8,7,6,5,2,3]=>[5,8,1,2,3,4,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[7,6,5,2,8,4,3,1]=>[2,3,4,7,1,5,6,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[7,8,5,2,6,4,1,3]=>[2,1,4,7,3,5,8,6]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[8,7,5,2,6,1,4,3]=>[1,2,4,7,3,8,5,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[6,5,1,8,7,4,3,2]=>[3,4,8,1,2,5,6,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[7,5,1,8,6,4,3,2]=>[2,4,8,1,3,5,6,7]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[8,5,1,7,6,4,3,2]=>[1,4,8,2,3,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[8,5,3,7,6,1,4,2]=>[1,4,6,2,3,8,5,7]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[7,6,8,2,5,4,1,3]=>[2,3,1,7,4,5,8,6]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[7,2,8,6,1,5,4,3]=>[2,7,1,3,8,4,5,6]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[7,8,6,2,5,1,4,3]=>[2,1,3,7,4,8,5,6]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[3,8,7,6,1,5,4,2]=>[6,1,2,3,8,4,5,7]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[1,6,7,8,4,5,2,3]=>[8,3,2,1,5,4,7,6]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[3,6,2,8,4,1,5,7]=>[6,3,7,1,5,8,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[8,3,7,5,4,1,6,2]=>[1,6,2,4,5,8,3,7]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[8,6,4,5,3,1,7,2]=>[1,3,5,4,6,8,2,7]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[3,8,6,5,4,1,7,2]=>[6,1,3,4,5,8,2,7]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,6,5,8,4,7,2,3]=>[8,3,4,1,5,2,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[2,4,5,7,3,1,6,8]=>[7,5,4,2,6,8,3,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[8,2,6,7,4,5,1,3]=>[1,7,3,2,5,4,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,2,7,8,4,6,5,3]=>[8,7,2,1,5,3,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,3,8,4,1,2,5,7]=>[3,6,1,5,8,7,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[1,6,3,5,4,8,2,7]=>[8,3,6,4,5,1,7,2]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,5,3,1,8,7,2,6]=>[5,4,6,8,1,2,7,3]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[3,1,5,8,6,4,2,7]=>[6,8,4,1,3,5,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,4,8,1,5,2,6,7]=>[6,5,1,8,4,7,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[4,6,8,1,5,2,3,7]=>[5,3,1,8,4,7,6,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[5,2,6,7,1,8,3,4]=>[4,7,3,2,8,1,6,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,6,8,5,2,7,1,4]=>[6,3,1,4,7,2,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[6,1,8,2,7,4,3,5]=>[3,8,1,7,2,5,6,4]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[2,5,6,3,1,7,4,8]=>[7,4,3,6,8,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[7,5,2,6,1,4,3,8]=>[2,4,7,3,8,5,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[5,7,6,2,8,1,3,4]=>[4,2,3,7,1,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[5,2,4,6,8,7,1,3]=>[4,7,5,3,1,2,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[8,1,6,5,7,2,3,4]=>[1,8,3,4,2,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,4,6,2,5,7,3,8]=>[8,5,3,7,4,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[8,6,5,7,1,3,2,4]=>[1,3,4,2,8,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,1,6,5,2,8,4,3]=>[2,8,3,4,7,1,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[1,5,8,6,2,7,4,3]=>[8,4,1,3,7,2,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,4,7,1,3,8,2,5]=>[3,5,2,8,6,1,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,2,3,6,7,4,1,5]=>[1,7,6,3,2,5,8,4]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,7,5,2,4,3,1,6]=>[1,2,4,7,5,6,8,3]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[3,1,8,5,7,2,6,4]=>[6,8,1,4,2,7,3,5]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[6,5,2,1,7,4,3,8]=>[3,4,7,8,2,5,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[6,7,4,2,3,8,1,5]=>[3,2,5,7,6,1,8,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[5,6,4,3,8,1,2,7]=>[4,3,5,6,1,8,7,2]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[6,8,5,3,4,2,1,7]=>[3,1,4,6,5,7,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[8,5,2,6,4,3,1,7]=>[1,4,7,3,5,6,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[8,6,4,5,2,1,7,3]=>[1,3,5,4,7,8,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[5,7,2,4,8,1,6,3]=>[4,2,7,5,1,8,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[2,7,5,8,1,4,6,3]=>[7,2,4,1,8,5,3,6]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[5,2,7,3,8,1,6,4]=>[4,7,2,6,1,8,3,5]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[3,2,6,7,1,8,5,4]=>[6,7,3,2,8,1,4,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[6,1,3,7,8,2,5,4]=>[3,8,6,2,1,7,4,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[5,4,7,8,1,2,6,3]=>[4,5,2,1,8,7,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[3,1,6,7,8,2,5,4]=>[6,8,3,2,1,7,4,5]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[1,3,6,7,8,2,5,4]=>[8,6,3,2,1,7,4,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,4,6,7,8,2,1,5]=>[6,5,3,2,1,7,8,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[6,2,7,4,8,5,1,3]=>[3,7,2,5,1,4,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[6,2,1,4,7,8,5,3]=>[3,7,8,5,2,1,4,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[5,7,2,8,1,4,6,3]=>[4,2,7,1,8,5,3,6]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[7,8,4,3,1,6,5,2]=>[2,1,5,6,8,3,4,7]=>[[1,3,4,5],[2,6,7,8]]=>[2,4,2]
[2,6,1,7,8,3,5,4]=>[7,3,8,2,1,6,4,5]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,6,4,7,8,1,3,5]=>[7,3,5,2,1,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[1,2,6,7,8,5,3,4]=>[8,7,3,2,1,4,6,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[1,6,7,4,8,3,2,5]=>[8,3,2,5,1,6,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[1,6,4,7,8,3,2,5]=>[8,3,5,2,1,6,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[1,4,6,7,8,3,2,5]=>[8,5,3,2,1,6,7,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[6,1,2,4,5,3,7,8]=>[3,8,7,5,4,6,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[8,7,2,1,5,4,6,3]=>[1,2,7,8,4,5,3,6]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,6,5,2,4,1,8,3]=>[2,3,4,7,5,8,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[4,1,2,3,5,6,7,8,9,10]=>[7,10,9,8,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[5,1,2,3,4,6,7,8,9,10]=>[6,10,9,8,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[8,1,2,3,4,5,6,7,9,10]=>[3,10,9,8,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[7,1,2,3,4,5,6,8,9,10]=>[4,10,9,8,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[6,1,2,3,4,5,7,8,9,10]=>[5,10,9,8,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[4,3,6,8,7,2,5,1]=>[5,6,3,1,2,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[4,1,2,6,8,7,5,3]=>[5,8,7,3,1,2,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[4,1,6,8,7,5,2,3]=>[5,8,3,1,2,4,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[3,8,1,4,2,5,7,6]=>[6,1,8,5,7,4,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[4,1,8,3,5,2,7,6]=>[5,8,1,6,4,7,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,8,1,2,5,4,7,6]=>[6,1,8,7,4,5,2,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,2,3,6,8,7,1,5]=>[5,7,6,3,1,2,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[4,2,8,3,5,1,7,6]=>[5,7,1,6,4,8,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[4,2,8,3,5,7,6,1]=>[5,7,1,6,4,2,3,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[7,5,6,4,1,3,2,8]=>[2,4,3,5,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[7,8,6,4,1,3,2,5]=>[2,1,3,5,8,6,7,4]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[7,3,2,1,4,6,5,8]=>[2,6,7,8,5,3,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,6,1,4,3,2,5,8]=>[2,3,8,5,6,7,4,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[7,4,1,3,5,6,2,8]=>[2,5,8,6,4,3,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[2,7,1,3,5,6,8,4]=>[7,2,8,6,4,3,1,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[3,4,7,1,5,6,8,2]=>[6,5,2,8,4,3,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[3,6,7,4,1,2,8,5]=>[6,3,2,5,8,7,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[4,3,2,7,1,6,8,5]=>[5,6,7,2,8,3,1,4]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[4,5,8,2,3,6,7,1]=>[5,4,1,7,6,3,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[2,4,5,3,8,6,7,1]=>[7,5,4,6,1,3,2,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[4,3,5,2,8,6,7,1]=>[5,6,4,7,1,3,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,1,2,7,5,6,8,3]=>[5,8,7,2,4,3,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[2,5,7,4,6,8,3,1]=>[7,4,2,5,3,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[2,6,1,8,5,4,7,3]=>[7,3,8,1,4,5,2,6]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[3,1,6,8,5,4,7,2]=>[6,8,3,1,4,5,2,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[6,1,8,3,5,4,7,2]=>[3,8,1,6,4,5,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,4,8,3,2,6,7,1]=>[4,5,1,6,7,3,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[5,8,2,3,4,6,7,1]=>[4,1,7,6,5,3,2,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[7,2,5,6,4,1,8,3]=>[2,7,4,3,5,8,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,2,5,1,4,6,8,3]=>[2,7,4,8,5,3,1,6]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,2,1,7,4,5,6,3]=>[1,7,8,2,5,4,3,6]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[1,5,8,6,3,7,2,4]=>[8,4,1,3,6,2,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,1,2,7,3,5,4,8]=>[3,8,7,2,6,4,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[3,1,7,8,2,4,6,5]=>[6,8,2,1,7,5,3,4]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[3,1,7,6,8,4,2,5]=>[6,8,2,3,1,5,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[1,5,7,6,3,2,8,4]=>[8,4,2,3,6,7,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[8,4,6,7,3,1,2,5]=>[1,5,3,2,6,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[8,4,6,7,3,2,5,1]=>[1,5,3,2,6,7,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[3,8,7,6,2,4,5,1]=>[6,1,2,3,7,5,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[3,7,2,4,1,6,8,5]=>[6,2,7,5,8,3,1,4]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[8,4,6,2,3,1,5,7]=>[1,5,3,7,6,8,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,5,2,1,4,3,8,6]=>[2,4,7,8,5,6,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[3,4,5,2,8,6,1,7]=>[6,5,4,7,1,3,8,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[3,4,5,2,1,8,6,7]=>[6,5,4,7,8,1,3,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[7,4,8,5,6,1,2,3]=>[2,5,1,4,3,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[6,2,8,5,1,3,4,7]=>[3,7,1,4,8,6,5,2]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[3,2,7,8,6,1,4,5]=>[6,7,2,1,3,8,5,4]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[6,7,4,2,1,5,3,8]=>[3,2,5,7,8,4,6,1]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[1,5,4,6,3,8,2,7]=>[8,4,5,3,6,1,7,2]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,3,6,2,4,1,7,5]=>[1,6,3,7,5,8,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[6,4,2,8,7,3,1,5]=>[3,5,7,1,2,6,8,4]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[7,6,2,8,5,1,3,4]=>[2,3,7,1,4,8,6,5]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[1,5,7,6,2,8,4,3]=>[8,4,2,3,7,1,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,7,8,4,2,1,5,3]=>[3,2,1,5,7,8,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[4,7,8,1,2,5,6,3]=>[5,2,1,8,7,4,3,6]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[6,1,4,7,2,5,8,3]=>[3,8,5,2,7,4,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[6,7,8,3,5,4,2,1]=>[3,2,1,6,4,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[8,6,2,1,7,5,4,3]=>[1,3,7,8,2,4,5,6]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[3,6,1,2,5,7,4,8]=>[6,3,8,7,4,2,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[8,2,4,7,1,5,3,6]=>[1,7,5,2,8,4,6,3]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,5,6,1,2,8,3,4]=>[2,4,3,8,7,1,6,5]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[4,1,5,8,6,2,7,3]=>[5,8,4,1,3,7,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[2,4,7,5,6,3,1,8]=>[7,5,2,4,3,6,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[7,5,1,6,3,4,2,8]=>[2,4,8,3,6,5,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,4,2,7,1,6,3,8]=>[4,5,7,2,8,3,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[8,3,7,1,6,4,2,5]=>[1,6,2,8,3,5,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[2,4,7,8,6,3,5,1]=>[7,5,2,1,3,6,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[5,7,4,1,6,8,2,3]=>[4,2,5,8,3,1,7,6]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[1,4,6,8,7,3,2,5]=>[8,5,3,1,2,6,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,5,8,3,6,2,4,7]=>[8,4,1,6,3,7,5,2]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[6,5,1,2,8,3,4,7]=>[3,4,8,7,1,6,5,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[5,6,8,1,3,7,2,4]=>[4,3,1,8,6,2,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[3,7,4,8,6,1,2,5]=>[6,2,5,1,3,8,7,4]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[7,8,2,5,6,3,1,4]=>[2,1,7,4,3,6,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[6,1,8,5,3,2,4,7]=>[3,8,1,4,6,7,5,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[8,5,2,1,3,7,4,6]=>[1,4,7,8,6,2,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,2,8,4,6,1,3,5]=>[2,7,1,5,3,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[6,2,7,4,3,8,1,5]=>[3,7,2,5,6,1,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[8,2,5,7,3,4,1,6]=>[1,7,4,2,6,5,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,7,8,4,6,2,3,5]=>[8,2,1,5,3,7,6,4]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[7,1,8,4,6,2,3,5]=>[2,8,1,5,3,7,6,4]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[5,8,6,1,4,7,2,3]=>[4,1,3,8,5,2,7,6]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[8,1,6,5,4,7,2,3]=>[1,8,3,4,5,2,7,6]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,1,4,6,7,3,8,2]=>[4,8,5,3,2,6,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[4,8,6,1,5,7,2,3]=>[5,1,3,8,4,2,7,6]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[4,1,6,2,5,7,8,3]=>[5,8,3,7,4,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[3,4,8,2,5,7,1,6]=>[6,5,1,7,4,2,8,3]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[6,7,3,4,1,2,8,5]=>[3,2,6,5,8,7,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[7,1,3,4,6,2,8,5]=>[2,8,6,5,3,7,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[4,7,2,8,5,3,1,6]=>[5,2,7,1,4,6,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[6,5,2,8,4,7,1,3]=>[3,4,7,1,5,2,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[6,1,8,3,4,7,2,5]=>[3,8,1,6,5,2,7,4]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[1,8,6,3,5,2,7,4]=>[8,1,3,6,4,7,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[7,8,1,3,5,4,2,6]=>[2,1,8,6,4,5,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,2,5,8,6,3,7,1]=>[5,7,4,1,3,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[8,2,5,6,3,1,7,4]=>[1,7,4,3,6,8,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[6,8,2,4,7,3,1,5]=>[3,1,7,5,2,6,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[4,1,8,6,5,7,3,2]=>[5,8,1,3,4,2,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[5,7,6,4,1,2,3,8]=>[4,2,3,5,8,7,6,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[1,5,6,4,2,3,7,8]=>[8,4,3,5,7,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[5,7,3,6,8,4,2,1]=>[4,2,6,3,1,5,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,4,6,2,5,8,1,3]=>[2,5,3,7,4,1,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,7,3,4,2,6,1,5]=>[1,2,6,5,7,3,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[3,1,5,2,7,8,6,4]=>[6,8,4,7,2,1,3,5]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[6,3,2,5,1,8,7,4]=>[3,6,7,4,8,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[1,8,7,3,2,5,4,6]=>[8,1,2,6,7,4,5,3]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[1,2,5,4,8,7,3,6]=>[8,7,4,5,1,2,6,3]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[1,5,2,4,7,3,8,6]=>[8,4,7,5,2,6,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[2,7,4,1,8,6,3,5]=>[7,2,5,8,1,3,6,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[8,6,3,5,7,4,1,2]=>[1,3,6,4,2,5,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[1,2,7,6,8,4,3,5]=>[8,7,2,3,1,5,6,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[7,4,6,8,5,2,1,3]=>[2,5,3,1,4,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[3,1,8,5,2,6,4,7]=>[6,8,1,4,7,3,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[5,2,1,3,7,4,8,6]=>[4,7,8,6,2,5,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[4,1,8,6,2,3,7,5]=>[5,8,1,3,7,6,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[1,7,6,4,3,8,5,2]=>[8,2,3,5,6,1,4,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[1,8,5,7,6,3,2,4]=>[8,1,4,2,3,6,7,5]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[1,6,3,5,7,8,4,2]=>[8,3,6,4,2,1,5,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[1,5,6,3,2,7,8,4]=>[8,4,3,6,7,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,8,4,7,5,3,2,6]=>[8,1,5,2,4,6,7,3]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[2,8,5,6,3,1,7,4]=>[7,1,4,3,6,8,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[1,2,6,8,4,3,7,5]=>[8,7,3,1,5,6,2,4]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[5,3,8,2,6,1,7,4]=>[4,6,1,7,3,8,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,6,2,5,3,4,1,8]=>[2,3,7,4,6,5,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[7,6,2,4,5,3,1,8]=>[2,3,7,5,4,6,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[6,4,7,2,3,5,1,8]=>[3,5,2,7,6,4,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,6,2,4,3,5,1,8]=>[2,3,7,5,6,4,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[7,6,2,3,5,4,1,8]=>[2,3,7,6,4,5,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[8,4,2,7,1,6,3,5]=>[1,5,7,2,8,3,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,6,3,2,8,1,7,5]=>[5,3,6,7,1,8,2,4]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[8,7,6,1,5,3,2,4]=>[1,2,3,8,4,6,7,5]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[7,8,4,3,1,5,6,2]=>[2,1,5,6,8,4,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[8,5,2,7,1,4,6,3]=>[1,4,7,2,8,5,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[8,7,6,1,4,3,5,2]=>[1,2,3,8,5,6,4,7]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[8,7,6,1,3,5,4,2]=>[1,2,3,8,6,4,5,7]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[8,7,6,1,5,4,2,3]=>[1,2,3,8,4,5,7,6]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[8,6,2,7,1,5,3,4]=>[1,3,7,2,8,4,6,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[5,3,7,2,8,1,6,4]=>[4,6,2,7,1,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[8,3,5,4,2,1,6,7]=>[1,6,4,5,7,8,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[7,8,4,3,1,5,2,6]=>[2,1,5,6,8,4,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[8,7,6,1,2,5,3,4]=>[1,2,3,8,7,4,6,5]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[8,7,6,1,2,5,4,3]=>[1,2,3,8,7,4,5,6]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[8,7,6,1,4,2,5,3]=>[1,2,3,8,5,7,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,6,7,1,5,3,2,4]=>[1,3,2,8,4,6,7,5]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[7,5,6,1,3,4,2,8]=>[2,4,3,8,6,5,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,8,5,1,3,4,2,6]=>[2,1,4,8,6,5,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[5,7,8,3,4,6,1,2]=>[4,2,1,6,5,3,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[7,5,1,3,4,2,6,8]=>[2,4,8,6,5,7,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[5,7,1,3,4,2,8,6]=>[4,2,8,6,5,7,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[7,3,5,6,4,8,1,2]=>[2,6,4,3,5,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[1,7,3,8,2,5,6,4]=>[8,2,6,1,7,4,3,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[1,7,3,5,8,4,2,6]=>[8,2,6,4,1,5,7,3]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[1,3,7,5,8,6,2,4]=>[8,6,2,4,1,3,7,5]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[7,1,5,6,3,4,2,8]=>[2,8,4,3,6,5,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,3,5,6,4,1,2,8]=>[2,6,4,3,5,8,7,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[3,7,5,8,4,1,2,6]=>[6,2,4,1,5,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[7,3,5,1,2,6,4,8]=>[2,6,4,8,7,3,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[3,7,1,2,8,5,6,4]=>[6,2,8,7,1,4,3,5]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[7,4,8,3,5,6,1,2]=>[2,5,1,6,4,3,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,5,8,4,6,2,1,3]=>[2,4,1,5,3,7,8,6]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[6,1,4,8,5,2,7,3]=>[3,8,5,1,4,7,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[5,6,8,4,7,2,1,3]=>[4,3,1,5,2,7,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[4,5,1,8,3,6,7,2]=>[5,4,8,1,6,3,2,7]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[5,8,1,2,4,6,7,3]=>[4,1,8,7,5,3,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[4,3,2,7,8,6,1,5]=>[5,6,7,2,1,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[6,8,7,4,3,1,2,5]=>[3,1,2,5,6,8,7,4]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[5,6,8,4,7,3,1,2]=>[4,3,1,5,2,6,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[7,3,5,4,2,8,1,6]=>[2,6,4,5,7,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[8,1,7,4,3,2,5,6]=>[1,8,2,5,6,7,4,3]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[3,1,6,8,5,2,7,4]=>[6,8,3,1,4,7,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[5,1,8,2,4,6,7,3]=>[4,8,1,7,5,3,2,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[3,5,1,8,2,6,7,4]=>[6,4,8,1,7,3,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,6,1,8,5,3,7,4]=>[7,3,8,1,4,6,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[3,8,1,2,4,6,7,5]=>[6,1,8,7,5,3,2,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[2,3,5,7,1,6,4,8]=>[7,6,4,2,8,3,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,5,3,8,2,4,6,7]=>[8,4,6,1,7,5,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,6,2,7,5,1,4,3]=>[1,3,7,2,4,8,5,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[2,7,1,8,6,3,5,4]=>[7,2,8,1,3,6,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[5,7,6,1,3,2,8,4]=>[4,2,3,8,6,7,1,5]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[5,7,3,2,6,1,4,8]=>[4,2,6,7,3,8,5,1]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,1,7,5,3,6,4,2]=>[1,8,2,4,6,3,5,7]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[8,6,5,3,7,4,2,1]=>[1,3,4,6,2,5,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[3,5,4,6,1,7,8,2]=>[6,4,5,3,8,2,1,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[4,6,5,1,8,3,7,2]=>[5,3,4,8,1,6,2,7]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[8,1,5,4,6,3,7,2]=>[1,8,4,5,3,6,2,7]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[2,7,1,5,6,4,3,8]=>[7,2,8,4,3,5,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,7,5,1,8,6,2,3]=>[5,2,4,8,1,3,7,6]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[8,4,6,3,1,7,2,5]=>[1,5,3,6,8,2,7,4]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[8,4,2,5,6,3,7,1]=>[1,5,7,4,3,6,2,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[8,6,2,7,5,4,3,1]=>[1,3,7,2,4,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[3,5,6,4,1,7,2,8]=>[6,4,3,5,8,2,7,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[2,5,6,1,7,4,3,8]=>[7,4,3,8,2,5,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[2,7,1,8,6,5,4,3]=>[7,2,8,1,3,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,7,6,1,8,5,4,2]=>[6,2,3,8,1,4,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[9,7,5,3,1,2,4,6,8]=>[1,3,5,7,9,8,6,4,2]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[9]
[10,8,6,4,2,1,3,5,7,9]=>[1,3,5,7,9,10,8,6,4,2]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10]
[6,2,8,3,1,4,5,7]=>[3,7,1,6,8,5,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[2,7,8,3,1,4,5,6]=>[7,2,1,6,8,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,7,8,5,3,2,6,4]=>[8,2,1,4,6,7,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[1,5,3,2,8,6,7,4]=>[8,4,6,7,1,3,2,5]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[1,8,5,3,2,6,7,4]=>[8,1,4,6,7,3,2,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[1,8,5,6,3,2,7,4]=>[8,1,4,3,6,7,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[1,5,8,6,7,3,2,4]=>[8,4,1,3,2,6,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[1,5,6,7,3,2,8,4]=>[8,4,3,2,6,7,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[1,7,5,2,3,4,8,6]=>[8,2,4,7,6,5,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[1,4,8,6,2,3,5,7]=>[8,5,1,3,7,6,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,7,8,3,2,4,5,6]=>[8,2,1,6,7,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,4,5,8,6,7,2,3]=>[8,5,4,1,3,2,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[1,8,4,5,6,7,2,3]=>[8,1,5,4,3,2,7,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[1,2,8,6,7,4,3,5]=>[8,7,1,3,2,5,6,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[1,2,8,6,3,4,5,7]=>[8,7,1,3,6,5,4,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[1,2,7,4,3,8,5,6]=>[8,7,2,5,6,1,4,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[1,6,7,3,5,2,8,4]=>[8,3,2,6,4,7,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[1,6,7,8,3,4,2,5]=>[8,3,2,1,6,5,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[1,7,8,5,6,2,3,4]=>[8,2,1,4,3,7,6,5]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[1,8,6,2,3,5,7,4]=>[8,1,3,7,6,4,2,5]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[1,7,8,4,2,3,5,6]=>[8,2,1,5,7,6,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,5,8,6,7,2,3,4]=>[8,4,1,3,2,7,6,5]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[1,2,7,4,6,3,8,5]=>[8,7,2,5,3,6,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[1,7,4,5,2,3,8,6]=>[8,2,5,4,7,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[1,7,8,3,4,5,2,6]=>[8,2,1,6,5,4,7,3]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[1,8,4,5,6,2,3,7]=>[8,1,5,4,3,7,6,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[8,2,5,6,3,4,1,7]=>[1,7,4,3,6,5,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[5,8,2,7,3,4,1,6]=>[4,1,7,2,6,5,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,8,7,2,3,4,1,5]=>[3,1,2,7,6,5,8,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,8,7,5,2,6,1,4]=>[6,1,2,4,7,3,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[8,2,3,6,4,5,1,7]=>[1,7,6,3,5,4,8,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[8,2,4,6,3,5,1,7]=>[1,7,5,3,6,4,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[3,4,2,7,8,5,1,6]=>[6,5,7,2,1,4,8,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[4,8,7,3,2,5,1,6]=>[5,1,2,6,7,4,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[5,8,4,2,6,7,3,1]=>[4,1,5,7,3,2,6,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[5,3,8,1,6,7,4,2]=>[4,6,1,8,3,2,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[5,2,8,1,6,4,7,3]=>[4,7,1,8,3,5,2,6]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,8,2,1,3,7,6,4]=>[4,1,7,8,6,2,3,5]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[8,3,4,1,2,6,5,7]=>[1,6,5,8,7,3,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[1,4,3,2,8,5,7,6]=>[8,5,6,7,1,4,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[5,1,8,2,6,4,7,3]=>[4,8,1,7,3,5,2,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,1,8,3,6,7,4,2]=>[4,8,1,6,3,2,5,7]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,2,8,3,6,7,4,1]=>[4,7,1,6,3,2,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[3,1,8,4,6,2,7,5]=>[6,8,1,5,3,7,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[8,4,1,6,5,2,3,7]=>[1,5,8,3,4,7,6,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,8,7,6,4,3,5,2]=>[8,1,2,3,5,6,4,7]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[3,1,4,7,5,8,2,6]=>[6,8,5,2,4,1,7,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[3,1,7,5,6,8,4,2]=>[6,8,2,4,3,1,5,7]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[6,1,8,7,5,3,4,2]=>[3,8,1,2,4,6,5,7]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[6,1,8,7,5,4,2,3]=>[3,8,1,2,4,5,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[8,3,5,6,1,4,2,7]=>[1,6,4,3,8,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[6,8,7,3,2,4,1,5]=>[3,1,2,6,7,5,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,3,7,5,6,8,4,1]=>[7,6,2,4,3,1,5,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[3,2,4,7,5,8,1,6]=>[6,7,5,2,4,1,8,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,8,7,6,5,3,1,4]=>[7,1,2,3,4,6,8,5]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[2,8,7,6,4,5,1,3]=>[7,1,2,3,5,4,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[3,8,7,6,4,1,5,2]=>[6,1,2,3,5,8,4,7]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[3,8,7,6,4,2,5,1]=>[6,1,2,3,5,7,4,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[1,3,4,7,5,2,8,6]=>[8,6,5,2,4,7,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,3,7,4,6,8,1,5]=>[7,6,2,5,3,1,8,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[4,8,7,6,2,5,1,3]=>[5,1,2,3,7,4,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[4,8,7,6,3,1,5,2]=>[5,1,2,3,6,8,4,7]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[3,5,2,4,7,6,8,1]=>[6,4,7,5,2,3,1,8]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[7,3,5,2,8,4,6,1]=>[2,6,4,7,1,5,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[3,5,2,7,4,6,8,1]=>[6,4,7,2,5,3,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[3,2,5,7,4,6,8,1]=>[6,7,4,2,5,3,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[8,3,5,1,6,4,7,2]=>[1,6,4,8,3,5,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[8,4,5,6,1,3,7,2]=>[1,5,4,3,8,6,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[7,6,8,1,2,5,4,3]=>[2,3,1,8,7,4,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[2,1,3,4,8,5,7,6]=>[7,8,6,5,1,4,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[5,7,1,2,6,8,3,4]=>[4,2,8,7,3,1,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[1,5,2,3,6,8,7,4]=>[8,4,7,6,3,1,2,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[3,7,4,5,2,8,1,6]=>[6,2,5,4,7,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,5,7,4,1,8,2,6]=>[6,4,2,5,8,1,7,3]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[2,5,4,6,8,3,1,7]=>[7,4,5,3,1,6,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,3,6,4,1,2,5,7]=>[1,6,3,5,8,7,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,6,4,7,5,1,2,3]=>[1,3,5,2,4,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[1,6,2,5,8,7,4,3]=>[8,3,7,4,1,2,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,7,4,5,6,2,8,1]=>[6,2,5,4,3,7,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[2,3,8,5,6,4,1,7]=>[7,6,1,4,3,5,8,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[3,8,4,6,1,5,2,7]=>[6,1,5,3,8,4,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,5,1,8,2,6,3,7]=>[5,4,8,1,7,3,6,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[6,1,8,4,3,2,7,5]=>[3,8,1,5,6,7,2,4]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[8,1,5,6,3,4,7,2]=>[1,8,4,3,6,5,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[2,8,5,7,6,3,1,4]=>[7,1,4,2,3,6,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,5,3,1,7,6,4,2]=>[1,4,6,8,2,3,5,7]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[8,3,5,6,1,4,7,2]=>[1,6,4,3,8,5,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[4,5,8,3,6,2,7,1]=>[5,4,1,6,3,7,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,2,1,6,5,3,8,4]=>[2,7,8,3,4,6,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[5,6,4,1,7,8,2,3]=>[4,3,5,8,2,1,7,6]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[2,4,6,7,5,1,8,3]=>[7,5,3,2,4,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[7,6,4,1,5,3,2,8]=>[2,3,5,8,4,6,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[6,8,7,4,1,5,3,2]=>[3,1,2,5,8,4,6,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[3,1,2,8,5,7,4,6]=>[6,8,7,1,4,2,5,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,1,3,8,5,7,4,6]=>[7,8,6,1,4,2,5,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,1,4,7,6,3,5,8]=>[7,8,5,2,3,6,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[7,2,4,5,3,8,1,6]=>[2,7,5,4,6,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,5,1,3,6,7,8,2]=>[5,4,8,6,3,2,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[6,1,7,5,4,8,2,3]=>[3,8,2,4,5,1,7,6]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[3,7,2,1,6,8,4,5]=>[6,2,7,8,3,1,5,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[1,5,8,2,4,7,6,3]=>[8,4,1,7,5,2,3,6]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,8,1,6,4,7,3,2]=>[4,1,8,3,5,2,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[3,8,6,5,7,2,4,1]=>[6,1,3,4,2,7,5,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[1,6,8,2,7,4,5,3]=>[8,3,1,7,2,5,4,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[6,4,1,7,3,8,2,5]=>[3,5,8,2,6,1,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,2,4,7,8,1,3,5]=>[3,7,5,2,1,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,5,7,3,6,8,1,2]=>[5,4,2,6,3,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[2,3,7,6,5,1,4,8]=>[7,6,2,3,4,8,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[7,8,1,2,5,6,4,3]=>[2,1,8,7,4,3,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[6,5,8,1,4,2,3,7]=>[3,4,1,8,5,7,6,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[4,5,7,3,1,6,2,8]=>[5,4,2,6,8,3,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[2,3,1,4,8,5,7,6]=>[7,6,8,5,1,4,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[3,1,8,5,7,6,4,2]=>[6,8,1,4,2,3,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[5,1,8,7,4,6,3,2]=>[4,8,1,2,5,3,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[3,8,6,2,5,1,4,7]=>[6,1,3,7,4,8,5,2]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[6,8,7,2,5,1,4,3]=>[3,1,2,7,4,8,5,6]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[5,7,2,8,6,1,4,3]=>[4,2,7,1,3,8,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,4,8,7,5,1,3,2]=>[3,5,1,2,4,8,6,7]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[6,2,8,7,4,1,3,5]=>[3,7,1,2,5,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,2,5,8,7,1,4,3]=>[3,7,4,1,2,8,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[2,4,8,6,5,1,3,7]=>[7,5,1,3,4,8,6,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[2,4,8,7,5,1,3,6]=>[7,5,1,2,4,8,6,3]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,5,7,6,1,8,4,2]=>[6,4,2,3,8,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[3,5,7,6,2,8,4,1]=>[6,4,2,3,7,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[2,5,7,6,1,8,3,4]=>[7,4,2,3,8,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[5,1,4,7,3,8,6,2]=>[4,8,5,2,6,1,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[1,3,8,7,2,5,4,6]=>[8,6,1,2,7,4,5,3]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,5,6,2,8,7,4,3]=>[8,4,3,7,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,5,3,8,7,6,4,1]=>[7,4,6,1,2,3,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,5,3,2,8,7,6,4]=>[8,4,6,7,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[6,1,4,3,8,7,5,2]=>[3,8,5,6,1,2,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[6,2,4,1,8,7,5,3]=>[3,7,5,8,1,2,4,6]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,4,1,8,7,5,2,6]=>[6,5,8,1,2,4,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,5,2,8,7,6,3,1]=>[5,4,7,1,2,3,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[6,4,1,8,7,5,2,3]=>[3,5,8,1,2,4,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[6,3,1,8,7,4,2,5]=>[3,6,8,1,2,5,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,2,5,1,8,6,3,7]=>[5,7,4,8,1,3,6,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[3,6,2,8,1,7,4,5]=>[6,3,7,1,8,2,5,4]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[4,2,8,5,1,7,3,6]=>[5,7,1,4,8,2,6,3]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[5,3,6,2,8,7,4,1]=>[4,6,3,7,1,2,5,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[6,3,5,2,1,8,7,4]=>[3,6,4,7,8,1,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,2,5,1,4,8,7,3]=>[3,7,4,8,5,1,2,6]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[2,8,4,1,3,7,6,5]=>[7,1,5,8,6,2,3,4]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[4,8,7,1,3,6,5,2]=>[5,1,2,8,6,3,4,7]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,2,7,3,8,6,5,1]=>[5,7,2,6,1,3,4,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[3,1,8,6,2,5,4,7]=>[6,8,1,3,7,4,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[2,7,1,8,3,6,5,4]=>[7,2,8,1,6,3,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[5,2,1,7,4,8,6,3]=>[4,7,8,2,5,1,3,6]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[5,1,2,8,6,4,3,7]=>[4,8,7,1,3,5,6,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[6,2,3,8,7,5,4,1]=>[3,7,6,1,2,4,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[5,2,3,8,7,6,4,1]=>[4,7,6,1,2,3,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[2,8,1,3,7,6,4,5]=>[7,1,8,6,2,3,5,4]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,1,3,5,8,7,6,2]=>[5,8,6,4,1,2,3,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,8,6,7,5,4,3,1]=>[7,1,3,2,4,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[7,2,6,8,1,4,3,5]=>[2,7,3,1,8,5,6,4]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,3,6,2,8,4,7,1]=>[4,6,3,7,1,5,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[6,8,2,7,4,1,5,3]=>[3,1,7,2,5,8,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[6,1,7,8,5,3,2,4]=>[3,8,2,1,4,6,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[2,6,5,4,7,1,8,3]=>[7,3,4,5,2,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[5,8,3,4,6,1,7,2]=>[4,1,6,5,3,8,2,7]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[6,8,7,1,5,4,2,3]=>[3,1,2,8,4,5,7,6]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[4,8,3,1,5,7,6,2]=>[5,1,6,8,4,2,3,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[5,3,8,2,7,1,6,4]=>[4,6,1,7,2,8,3,5]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[6,7,1,5,3,4,8,2]=>[3,2,8,4,6,5,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,5,3,4,7,1,8,2]=>[3,4,6,5,2,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,3,4,7,1,6,8,2]=>[4,6,5,2,8,3,1,7]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[8,2,6,7,1,5,3,4]=>[1,7,3,2,8,4,6,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[8,3,4,7,1,5,2,6]=>[1,6,5,2,8,4,7,3]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,1,5,2,6,3,4,8]=>[2,8,4,7,3,6,5,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[7,1,6,8,3,4,5,2]=>[2,8,3,1,6,5,4,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[6,7,1,8,3,4,5,2]=>[3,2,8,1,6,5,4,7]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[8,7,1,6,3,4,5,2]=>[1,2,8,3,6,5,4,7]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[6,3,4,8,7,1,5,2]=>[3,6,5,1,2,8,4,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[3,8,4,6,7,1,5,2]=>[6,1,5,3,2,8,4,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[3,8,5,2,6,7,1,4]=>[6,1,4,7,3,2,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[3,7,1,4,8,5,2,6]=>[6,2,8,5,1,4,7,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[3,6,5,2,7,1,4,8]=>[6,3,4,7,2,8,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[3,8,4,5,2,7,1,6]=>[6,1,5,4,7,2,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,3,5,2,7,1,6,4]=>[1,6,4,7,2,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[3,4,7,1,6,5,2,8]=>[6,5,2,8,3,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[7,1,5,2,8,6,3,4]=>[2,8,4,7,1,3,6,5]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[8,6,3,4,7,1,5,2]=>[1,3,6,5,2,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[3,7,1,6,4,8,5,2]=>[6,2,8,3,5,1,4,7]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[3,8,6,4,7,1,5,2]=>[6,1,3,5,2,8,4,7]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[3,7,1,4,8,6,5,2]=>[6,2,8,5,1,3,4,7]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[3,5,2,6,7,1,4,8]=>[6,4,7,3,2,8,5,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[3,5,2,8,6,7,1,4]=>[6,4,7,1,3,2,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[3,5,2,6,8,7,1,4]=>[6,4,7,3,1,2,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[2,3,7,6,5,8,1,4]=>[7,6,2,3,4,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,7,8,5,4,3,2,1,9]=>[4,3,2,5,6,7,8,9,1]=>[[1,4,5,6,7,8],[2],[3],[9]]=>[3,6]
[7,8,9,6,5,4,3,2,1,10]=>[4,3,2,5,6,7,8,9,10,1]=>[[1,4,5,6,7,8,9],[2],[3],[10]]=>[3,7]
[5,2,7,3,6,4,1,8]=>[4,7,2,6,3,5,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[8,3,7,2,5,4,1,6]=>[1,6,2,7,4,5,8,3]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[5,2,8,3,6,4,1,7]=>[4,7,1,6,3,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[1,4,7,3,6,5,2,8]=>[8,5,2,6,3,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[8,2,5,4,1,6,3,7]=>[1,7,4,5,8,3,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[8,2,6,4,1,5,3,7]=>[1,7,3,5,8,4,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[6,2,1,4,8,5,3,7]=>[3,7,8,5,1,4,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[3,2,1,5,8,6,4,7]=>[6,7,8,4,1,3,5,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[7,3,1,4,8,5,2,6]=>[2,6,8,5,1,4,7,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[6,2,5,3,8,4,1,7]=>[3,7,4,6,1,5,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[7,2,5,3,8,4,1,6]=>[2,7,4,6,1,5,8,3]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[1,3,5,4,8,6,2,7]=>[8,6,4,5,1,3,7,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[6,2,4,3,8,5,1,7]=>[3,7,5,6,1,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[5,2,4,3,8,6,1,7]=>[4,7,5,6,1,3,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,2,5,3,8,6,1,7]=>[5,7,4,6,1,3,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[6,2,4,3,1,7,5,8]=>[3,7,5,6,8,2,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[8,5,1,3,6,4,2,7]=>[1,4,8,6,3,5,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,4,1,3,6,5,2,7]=>[1,5,8,6,3,4,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[1,5,2,4,7,6,3,8]=>[8,4,7,5,2,3,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[7,2,5,3,1,6,4,8]=>[2,7,4,6,8,3,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[6,2,5,3,1,7,4,8]=>[3,7,4,6,8,2,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[5,2,7,3,1,6,4,8]=>[4,7,2,6,8,3,5,1]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[6,2,7,3,1,5,4,8]=>[3,7,2,6,8,4,5,1]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[8,4,1,3,7,5,2,6]=>[1,5,8,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[6,2,1,5,3,7,4,8]=>[3,7,8,4,6,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[3,2,8,5,1,6,4,7]=>[6,7,1,4,8,3,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[8,3,7,4,1,5,2,6]=>[1,6,2,5,8,4,7,3]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[7,1,3,2,5,6,4,8]=>[2,8,6,7,4,3,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[4,2,8,7,5,6,1,3]=>[5,7,1,2,4,3,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[2,8,1,7,4,5,6,3]=>[7,1,8,2,5,4,3,6]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,3,5,2,4,8,1,7]=>[3,6,4,7,5,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[1,5,2,8,7,4,3,6]=>[8,4,7,1,2,5,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[5,7,1,2,6,4,3,8]=>[4,2,8,7,3,5,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[1,8,2,5,7,4,3,6]=>[8,1,7,4,2,5,6,3]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[1,6,4,3,2,5,8,7]=>[8,3,5,6,7,4,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,5,6,7,1,4,3,8]=>[7,4,3,2,8,5,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[5,7,2,8,1,4,3,6]=>[4,2,7,1,8,5,6,3]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[5,8,2,7,1,4,3,6]=>[4,1,7,2,8,5,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,5,1,2,6,4,3,8]=>[2,4,8,7,3,5,6,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,2,1,6,8,4,3,7]=>[4,7,8,3,1,5,6,2]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[6,2,8,5,1,4,3,7]=>[3,7,1,4,8,5,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[7,8,1,6,3,2,4,5]=>[2,1,8,3,6,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,3,6,4,1,2,8,5]=>[2,6,3,5,8,7,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[2,3,7,8,4,1,5,6]=>[7,6,2,1,5,8,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[5,4,7,2,3,8,1,6]=>[4,5,2,7,6,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[4,8,3,1,5,2,7,6]=>[5,1,6,8,4,7,2,3]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[2,3,5,8,7,6,1,4]=>[7,6,4,1,2,3,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[7,3,5,1,4,6,2,8]=>[2,6,4,8,5,3,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[3,8,5,1,2,6,4,7]=>[6,1,4,8,7,3,5,2]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,2,1,8,6,4,3,7]=>[4,7,8,1,3,5,6,2]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[1,2,6,5,8,4,3,7]=>[8,7,3,4,1,5,6,2]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,1,7,2,6,4,3,8]=>[4,8,2,7,3,5,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[7,1,5,3,2,6,8,4]=>[2,8,4,6,7,3,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[3,1,5,7,8,6,2,4]=>[6,8,4,2,1,3,7,5]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[1,8,7,2,6,4,3,5]=>[8,1,2,7,3,5,6,4]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[8,7,6,5,3,2,1,4,9]=>[2,3,4,5,7,8,9,6,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[8,7,6,5,4,1,2,3,9]=>[2,3,4,5,6,9,8,7,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9]
[8,6,2,3,1,5,7,4]=>[1,3,7,6,8,4,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,3,5,2,1,4,8,6]=>[2,6,4,7,8,5,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[2,6,3,8,7,4,5,1]=>[7,3,6,1,2,5,4,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[1,7,3,6,8,5,2,4]=>[8,2,6,3,1,4,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[1,8,5,2,4,7,3,6]=>[8,1,4,7,5,2,6,3]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[1,4,2,7,3,6,8,5]=>[8,5,7,2,6,3,1,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[3,2,1,7,8,5,4,6]=>[6,7,8,2,1,4,5,3]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[1,4,7,5,3,8,6,2]=>[8,5,2,4,6,1,3,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,7,6,3,2,4,8,5]=>[8,2,3,6,7,5,1,4]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,7,8,6,4,1,5,3]=>[7,2,1,3,5,8,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[1,8,5,3,2,4,7,6]=>[8,1,4,6,7,5,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[6,7,8,2,5,1,4,3]=>[3,2,1,7,4,8,5,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,4,8,6,2,3,5,1]=>[2,5,1,3,7,6,4,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[6,2,5,7,8,1,4,3]=>[3,7,4,2,1,8,5,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[2,4,5,8,6,1,3,7]=>[7,5,4,1,3,8,6,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,7,8,1,5,6,2,3]=>[5,2,1,8,4,3,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[3,6,7,1,8,4,2,5]=>[6,3,2,8,1,5,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,3,7,5,1,6,4,8]=>[7,6,2,4,8,3,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[2,6,3,5,1,8,4,7]=>[7,3,6,4,8,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[7,2,4,6,1,8,5,3]=>[2,7,5,3,8,1,4,6]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[1,3,7,6,2,4,5,8]=>[8,6,2,3,7,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,6,7,2,8,3,5,4]=>[8,3,2,7,1,6,4,5]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[2,7,3,8,4,5,6,1]=>[7,2,6,1,5,4,3,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[1,4,2,7,5,3,6,8]=>[8,5,7,2,4,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,3,8,2,7,4,5,6]=>[8,6,1,7,2,5,4,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[7,1,4,3,8,5,6,2]=>[2,8,5,6,1,4,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[3,4,1,8,5,7,2,6]=>[6,5,8,1,4,2,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,4,1,5,8,6,2,7]=>[6,5,8,4,1,3,7,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[5,6,2,7,8,3,4,1]=>[4,3,7,2,1,6,5,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[7,4,1,8,5,6,2,3]=>[2,5,8,1,4,3,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[7,2,5,8,1,6,3,4]=>[2,7,4,1,8,3,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[6,4,8,1,5,7,2,3]=>[3,5,1,8,4,2,7,6]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[5,8,4,2,6,3,7,1]=>[4,1,5,7,3,6,2,8]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[6,2,5,1,4,7,8,3]=>[3,7,4,8,5,2,1,6]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[2,7,4,1,3,6,8,5]=>[7,2,5,8,6,3,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[5,7,1,2,6,4,8,3]=>[4,2,8,7,3,5,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[5,1,8,2,3,7,6,4]=>[4,8,1,7,6,2,3,5]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[3,1,8,5,2,4,7,6]=>[6,8,1,4,7,5,2,3]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[5,2,1,8,4,6,7,3]=>[4,7,8,1,5,3,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[6,2,1,4,7,5,8,3]=>[3,7,8,5,2,4,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[2,8,1,3,7,4,6,5]=>[7,1,8,6,2,5,3,4]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[6,2,3,8,4,5,7,1]=>[3,7,6,1,5,4,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[2,6,1,3,4,8,7,5]=>[7,3,8,6,5,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[1,2,6,3,5,7,8,4]=>[8,7,3,6,4,2,1,5]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[3,4,1]
[6,8,7,9,5,4,3,2,1]=>[4,2,3,1,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2],[4]]=>[2,2,5]
[2,6,1,5,4,7,3,8]=>[7,3,8,4,5,2,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[1,2,8,5,4,6,3,7]=>[8,7,1,4,5,3,6,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[1,3,6,8,4,5,7,2]=>[8,6,3,1,5,4,2,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[1,2,8,4,6,3,7,5]=>[8,7,1,5,3,6,2,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[2,7,6,5,1,4,8,3]=>[7,2,3,4,8,5,1,6]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[1,2,6,8,4,7,5,3]=>[8,7,3,1,5,2,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[1,7,2,8,6,3,5,4]=>[8,2,7,1,3,6,4,5]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[3,7,6,5,2,1,4,8]=>[6,2,3,4,7,8,5,1]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,4,2,3,7,1,6,5]=>[1,5,7,6,2,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,3,2,6,7,4,1,5]=>[1,6,7,3,2,5,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[6,5,7,3,1,2,8,4]=>[3,4,2,6,8,7,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[3,8,2,4,1,7,6,5]=>[6,1,7,5,8,2,3,4]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[3,5,8,2,6,7,1,4]=>[6,4,1,7,3,2,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[3,2,4,6,7,1,5,8]=>[6,7,5,3,2,8,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[7,1,5,2,6,4,3,8]=>[2,8,4,7,3,5,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[8,3,5,2,6,1,4,7]=>[1,6,4,7,3,8,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,6,1,3,8,7,4,2]=>[4,3,8,6,1,2,5,7]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[1,8,5,6,2,7,4,3]=>[8,1,4,3,7,2,5,6]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[8,3,5,2,6,7,1,4]=>[1,6,4,7,3,2,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[3,7,2,4,6,1,5,8]=>[6,2,7,5,3,8,4,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[3,2,4,7,1,5,6,8]=>[6,7,5,2,8,4,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,8,2,4,1,5,6,7]=>[6,1,7,5,8,4,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[8,3,5,7,2,6,1,4]=>[1,6,4,2,7,3,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,2,7,6,1,8,5,3]=>[5,7,2,3,8,1,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,3,2,1,6,8,5,4]=>[2,6,7,8,3,1,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,3,2,1,8,5,4,6]=>[2,6,7,8,1,4,5,3]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[3,5,2,1,8,4,7,6]=>[6,4,7,8,1,5,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,7,2,4,3,5,8,1]=>[3,2,7,5,6,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[3,6,7,4,2,5,1,8]=>[6,3,2,5,7,4,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[6,4,7,3,2,1,5,8]=>[3,5,2,6,7,8,4,1]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[4,5,3,7,2,1,6,8]=>[5,4,6,2,7,8,3,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[4,3,8,2,1,5,7,6]=>[5,6,1,7,8,4,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[4,3,2,8,1,6,7,5]=>[5,6,7,1,8,3,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[4,5,8,3,2,7,1,6]=>[5,4,1,6,7,2,8,3]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[5,8,3,4,7,2,1,6]=>[4,1,6,5,2,7,8,3]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,3,6,2,1,7,8,4]=>[4,6,3,7,8,2,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[3,6,7,4,8,2,1,5]=>[6,3,2,5,1,7,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,4,7,8,2,3,6,1]=>[4,5,2,1,7,6,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[4,3,2,8,1,5,7,6]=>[5,6,7,1,8,4,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[4,5,3,2,6,8,1,7]=>[5,4,6,7,3,1,8,2]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[9,1,3,4,5,6,7,8,2]=>[1,9,7,6,5,4,3,2,8]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[3,6,7,4,5,2,8,1]=>[6,3,2,5,4,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[3,4,7,5,6,2,8,1]=>[6,5,2,4,3,7,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[3,5,7,4,6,2,8,1]=>[6,4,2,5,3,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[4,5,2,3,7,6,8,1]=>[5,4,7,6,2,3,1,8]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[6,3,5,1,7,8,4,2]=>[3,6,4,8,2,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[5,3,7,6,2,4,8,1]=>[4,6,2,3,7,5,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[5,2,7,6,3,4,8,1]=>[4,7,2,3,6,5,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[5,2,7,6,4,3,8,1]=>[4,7,2,3,5,6,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[4,6,7,2,5,3,8,1]=>[5,3,2,7,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[4,6,7,3,5,2,8,1]=>[5,3,2,6,4,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,3,7,6,4,2,8,1]=>[4,6,2,3,5,7,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[6,4,7,8,3,1,5,2]=>[3,5,2,1,6,8,4,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,4,7,3,1,5,6,2]=>[1,5,2,6,8,4,3,7]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,4,8,6,2,5,1,3]=>[2,5,1,3,7,4,8,6]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[6,4,7,8,1,3,5,2]=>[3,5,2,1,8,6,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[6,3,1,5,7,8,4,2]=>[3,6,8,4,2,1,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[5,6,7,3,8,1,4,2]=>[4,3,2,6,1,8,5,7]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[8,4,1,7,2,5,6,3]=>[1,5,8,2,7,4,3,6]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[5,8,1,7,6,4,2,3]=>[4,1,8,2,3,5,7,6]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[2,6,7,8,5,4,1,3]=>[7,3,2,1,4,5,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,6,7,8,5,4,2,3]=>[8,3,2,1,4,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[5,6,7,1,8,3,4,2]=>[4,3,2,8,1,6,5,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,1,7,8,3,4,5,2]=>[3,8,2,1,6,5,4,7]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[7,1,8,6,2,5,4,3]=>[2,8,1,3,7,4,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[8,2,1,6,4,5,7,3]=>[1,7,8,3,5,4,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,5,1,7,6,4,2,3]=>[1,4,8,2,3,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,5,8,2,6,4,7,3]=>[8,4,1,7,3,5,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[6,1,5,3,7,8,4,2]=>[3,8,4,6,2,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[1,5,7,4,6,8,3,2]=>[8,4,2,5,3,1,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,4,7,5,6,8,3,2]=>[8,5,2,4,3,1,6,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[1,6,7,4,5,8,3,2]=>[8,3,2,5,4,1,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,6,7,4,8,1,3,2]=>[4,3,2,5,1,8,6,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[6,4,7,5,8,1,3,2]=>[3,5,2,4,1,8,6,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,5,2,1,8,4,6,3]=>[2,4,7,8,1,5,3,6]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,5,2,7,6,4,1,3]=>[1,4,7,2,3,5,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[8,1,2,6,4,5,7,3]=>[1,8,7,3,5,4,2,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[4,8,1,7,2,5,6,3]=>[5,1,8,2,7,4,3,6]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[2,6,7,1,5,4,8,3]=>[7,3,2,8,4,5,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,2,1,5,6,4,8,3]=>[2,7,8,4,3,5,1,6]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[2,8,1,6,4,5,7,3]=>[7,1,8,3,5,4,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[8,2,7,6,5,3,1,4]=>[1,7,2,3,4,6,8,5]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[8,3,7,6,5,1,2,4]=>[1,6,2,3,4,8,7,5]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[1,8,2,6,4,5,7,3]=>[8,1,7,3,5,4,2,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[7,1,2,5,6,4,8,3]=>[2,8,7,4,3,5,1,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[1,6,7,2,5,4,8,3]=>[8,3,2,7,4,5,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[3,2,7,6,5,8,1,4]=>[6,7,2,3,4,1,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[1,3,7,6,5,2,8,4]=>[8,6,2,3,4,7,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[8,3,7,6,5,2,1,4]=>[1,6,2,3,4,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[10,1,3,4,5,6,7,8,9,2]=>[1,10,8,7,6,5,4,3,2,9]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[6,7,3,2,5,8,1,4]=>[3,2,6,7,4,1,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[6,1,8,4,5,3,7,2]=>[3,8,1,5,4,6,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,1,4,6,2,8,7,3]=>[4,8,5,3,7,1,2,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[1,5,8,7,4,6,3,2]=>[8,4,1,2,5,3,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[5,7,2,1,3,6,8,4]=>[4,2,7,8,6,3,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[2,8,7,5,3,6,1,4]=>[7,1,2,4,6,3,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,7,6,3,8,1,5,4]=>[7,2,3,6,1,8,4,5]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[3,4,2,6,1,7,8,5]=>[6,5,7,3,8,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[7,3,1,6,8,2,5,4]=>[2,6,8,3,1,7,4,5]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[7,1,6,8,5,2,4,3]=>[2,8,3,1,4,7,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[7,1,5,8,6,2,4,3]=>[2,8,4,1,3,7,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[1,5,7,8,6,2,4,3]=>[8,4,2,1,3,7,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[2,7,5,8,6,1,4,3]=>[7,2,4,1,3,8,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,3,6,2,1,7,8,5]=>[5,6,3,7,8,2,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[4,6,2,3,1,7,8,5]=>[5,3,7,6,8,2,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[3,6,2,1,4,7,8,5]=>[6,3,7,8,5,2,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[6,8,2,7,5,4,3,1]=>[3,1,7,2,4,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[5,8,1,7,6,4,3,2]=>[4,1,8,2,3,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[8,5,1,4,6,3,2,7]=>[1,4,8,5,3,6,7,2]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[8,5,1,6,3,4,2,7]=>[1,4,8,3,6,5,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,4,3,6,1,5,2,7]=>[1,5,6,3,8,4,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[6,4,3,2,8,7,1,5]=>[3,5,6,7,1,2,8,4]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[8,5,1,4,3,7,2,6]=>[1,4,8,5,6,2,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[4,7,3,6,1,8,5,2]=>[5,2,6,3,8,1,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[5,3,8,2,6,7,1,4]=>[4,6,1,7,3,2,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,2,4,6,3,7,1,5]=>[1,7,5,3,6,2,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,3,6,2,4,5,8,1]=>[2,6,3,7,5,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,3,7,2,1,4,6,5]=>[1,6,2,7,8,5,3,4]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,6,4,1,3,2,8,5]=>[2,3,5,8,6,7,1,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[6,2,5,7,4,3,8,1]=>[3,7,4,2,5,6,1,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[7,2,4,8,5,1,6,3]=>[2,7,5,1,4,8,3,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[4,2,7,6,8,5,1,3]=>[5,7,2,3,1,4,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[7,1,6,2,8,5,4,3]=>[2,8,3,7,1,4,5,6]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[7,2,6,8,1,3,5,4]=>[2,7,3,1,8,6,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[4,6,7,3,1,8,5,2]=>[5,3,2,6,8,1,4,7]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[7,6,4,2,8,5,1,3]=>[2,3,5,7,1,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,7,6,4,8,5,3,2]=>[8,2,3,5,1,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[8,7,4,2,1,5,6,3]=>[1,2,5,7,8,4,3,6]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,2,3,5,1,4,6,7]=>[1,7,6,4,8,5,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[8,7,4,1,3,2,6,5]=>[1,2,5,8,6,7,3,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[4,1,8,5,7,6,2,3]=>[5,8,1,4,2,3,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[3,7,5,8,4,2,1,6]=>[6,2,4,1,5,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[6,7,5,1,3,2,4,8]=>[3,2,4,8,6,7,5,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[5,2,6,1,7,3,4,8]=>[4,7,3,8,2,6,5,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[1,5,8,3,6,4,7,2]=>[8,4,1,6,3,5,2,7]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,8,2,6,5,3,7,4]=>[8,1,7,3,4,6,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[3,8,1,7,2,6,5,4]=>[6,1,8,2,7,3,4,5]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[8,1,2,4,6,5,7,3]=>[1,8,7,5,3,4,2,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[6,1,8,2,5,4,7,3]=>[3,8,1,7,4,5,2,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[8,3,7,2,5,4,6,1]=>[1,6,2,7,4,5,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[5,1,8,3,7,4,6,2]=>[4,8,1,6,2,5,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[8,3,7,1,5,4,6,2]=>[1,6,2,8,4,5,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,4,7,1,5,3,6,2]=>[1,5,2,8,4,6,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,2,5,3,4,6,1,8]=>[2,7,4,6,5,3,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[7,6,4,2,5,3,1,8]=>[2,3,5,7,4,6,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[7,1,6,5,4,2,3,8]=>[2,8,3,4,5,7,6,1]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[5,8,4,3,1,7,2,6]=>[4,1,5,6,8,2,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[3,6,8,5,2,4,7,1]=>[6,3,1,4,7,5,2,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[5,7,8,4,3,2,6,1]=>[4,2,1,5,6,7,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[2,5,8,3,4,7,1,6]=>[7,4,1,6,5,2,8,3]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[6,1,7,4,3,8,5,2]=>[3,8,2,5,6,1,4,7]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[6,7,1,3,2,8,5,4]=>[3,2,8,6,7,1,4,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[3,7,2,1,6,8,5,4]=>[6,2,7,8,3,1,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[1,5,3,2,6,8,4,7]=>[8,4,6,7,3,1,5,2]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,1,4,2,3,6,8,7]=>[4,8,5,7,6,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[5,4,3,7,8,2,6,1]=>[4,5,6,2,1,7,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,2,5,1,4,7,3,8]=>[3,7,4,8,5,2,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,8,7,1,4,2,3,6]=>[4,1,2,8,5,7,6,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,5,2,4,1,8,6,3]=>[2,4,7,5,8,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[8,2,3,5,4,1,6,7]=>[1,7,6,4,5,8,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[6,5,1,2,4,7,8,3]=>[3,4,8,7,5,2,1,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,6,8,4,3,1,5,2]=>[2,3,1,5,6,8,4,7]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,6,5,3,8,1,4,2]=>[2,3,4,6,1,8,5,7]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[2,7,6,5,4,1,3,8]=>[7,2,3,4,5,8,6,1]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[3,8,2,5,4,6,1,7]=>[6,1,7,4,5,3,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,2,3,6,4,1,7,8]=>[4,7,6,3,5,8,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[4,7,6,1,5,8,3,2]=>[5,2,3,8,4,1,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[1,5,6,8,2,4,3,7]=>[8,4,3,1,7,5,6,2]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[9,8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,8,7,9]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1]
[6,8,7,1,5,4,3,2]=>[3,1,2,8,4,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[8,7,4,6,5,1,3,2]=>[1,2,5,3,4,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[7,9,8,1,6,5,4,3,2]=>[3,1,2,9,4,5,6,7,8]=>[[1,3,4,6,7,8,9],[2,5]]=>[2,3,4]
[10,9,1,8,7,6,5,4,3,2]=>[1,2,10,3,4,5,6,7,8,9]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,6]
[8,10,9,1,7,6,5,4,3,2]=>[3,1,2,10,4,5,6,7,8,9]=>[[1,3,4,6,7,8,9,10],[2,5]]=>[2,3,5]
[10,9,8,1,7,6,5,4,3,2]=>[1,2,3,10,4,5,6,7,8,9]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[5,5]
[10,9,8,7,1,6,5,4,3,2]=>[1,2,3,4,10,5,6,7,8,9]=>[[1,2,3,4,5,7,8,9,10],[6]]=>[6,4]
[10,9,8,7,6,1,5,4,3,2]=>[1,2,3,4,5,10,6,7,8,9]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,3]
[10,9,8,7,6,5,1,4,3,2]=>[1,2,3,4,5,6,10,7,8,9]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,2]
[10,9,8,7,6,5,4,1,3,2]=>[1,2,3,4,5,6,7,10,8,9]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1]
[3,5,2,7,4,8,6,1,9]=>[7,5,8,3,6,2,4,9,1]=>[[1,3,8],[2,5],[4,7],[6],[9]]=>[2,2,2,3]
[3,2,5,4,7,6,9,8,1,10]=>[8,9,6,7,4,5,2,3,10,1]=>[[1,2,9],[3,4],[5,6],[7,8],[10]]=>[3,2,2,3]
[4,3,7,2,1,8,5,6]=>[5,6,2,7,8,1,4,3]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[1,7,4,3,2,8,5,6]=>[8,2,5,6,7,1,4,3]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[7,2,6,1,5,8,3,4]=>[2,7,3,8,4,1,6,5]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[4,7,3,8,6,2,5,1]=>[5,2,6,1,3,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,7,3,6,8,2,1,5]=>[5,2,6,3,1,7,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[8,3,7,2,4,6,5,1]=>[1,6,2,7,5,3,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,7,2,4,6,3,5,1]=>[1,2,7,5,3,6,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[1,3,6,8,5,7,4,2]=>[8,6,3,1,4,2,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[7,3,6,2,8,5,4,1]=>[2,6,3,7,1,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[7,4,6,8,3,5,2,1]=>[2,5,3,1,6,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[4,3,5,7,2,6,1,8]=>[5,6,4,2,7,3,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,3,8,5,7,4,6,2]=>[8,6,1,4,2,5,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,7,2,4,6,1,3,8]=>[4,2,7,5,3,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[5,8,4,2,7,3,6,1]=>[4,1,5,7,2,6,3,8]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[7,4,2,6,3,1,5,8]=>[2,5,7,3,6,8,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,5,7,2,4,6,1,3]=>[1,4,2,7,5,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[6,1,3,7,2,5,8,4]=>[3,8,6,2,7,4,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[8,2,5,1,4,7,3,6]=>[1,7,4,8,5,2,6,3]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,1,3,6,4,2,5,7]=>[1,8,6,3,5,7,4,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[8,3,6,7,4,1,2,5]=>[1,6,3,2,5,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[8,5,1,2,4,6,7,3]=>[1,4,8,7,5,3,2,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[1,7,8,3,6,4,2,5]=>[8,2,1,6,3,5,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[1,7,8,5,6,4,2,3]=>[8,2,1,4,3,5,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[8,3,1,2,4,6,7,5]=>[1,6,8,7,5,3,2,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,1,3,2,4,6,5,7]=>[1,8,6,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,2,3,7,4,1,5,6]=>[1,7,6,2,5,8,4,3]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[8,1,5,6,4,2,3,7]=>[1,8,4,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[3,5,8,1,6,4,2,7]=>[6,4,1,8,3,5,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[8,3,2,7,4,1,6,5]=>[1,6,7,2,5,8,3,4]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[6,5,1,7,3,2,8,4]=>[3,4,8,2,6,7,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[8,2,7,5,4,3,1,6]=>[1,7,2,4,5,6,8,3]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[8,1,6,5,4,3,2,7]=>[1,8,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[2,6,8,1,5,4,3,7]=>[7,3,1,8,4,5,6,2]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[3,5,8,2,1,4,7,6]=>[6,4,1,7,8,5,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[5,4,7,8,3,1,2,6]=>[4,5,2,1,6,8,7,3]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[4,5,8,1,3,7,2,6]=>[5,4,1,8,6,2,7,3]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[7,6,2,8,1,4,3,5]=>[2,3,7,1,8,5,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,7,2,6,8,3,5,1]=>[5,2,7,3,1,6,4,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[7,4,3,8,5,6,2,1]=>[2,5,6,1,4,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[3,1,5,8,7,6,2,4]=>[6,8,4,1,2,3,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[3,1,8,6,5,7,2,4]=>[6,8,1,3,4,2,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[1,2,7,6,4,5,8,3]=>[8,7,2,3,5,4,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[6,4,2,1,8,7,3,5]=>[3,5,7,8,1,2,6,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[4,7,3,2,5,1,6,8]=>[5,2,6,7,4,8,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[6,2,5,1,7,8,4,3]=>[3,7,4,8,2,1,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,2,5,8,7,4,1,3]=>[3,7,4,1,2,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[7,2,5,3,8,1,4,6]=>[2,7,4,6,1,8,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[6,3,4,1,8,7,2,5]=>[3,6,5,8,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[4,7,3,2,5,8,1,6]=>[5,2,6,7,4,1,8,3]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[8,7,3,2,5,4,6,1]=>[1,2,6,7,4,5,3,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[5,1,7,6,2,4,8,3]=>[4,8,2,3,7,5,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[7,5,4,8,3,1,6,2]=>[2,4,5,1,6,8,3,7]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[3,4,8,1,6,5,2,7]=>[6,5,1,8,3,4,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[7,5,6,1,8,3,2,4]=>[2,4,3,8,1,6,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[5,3,4,7,1,6,2,8]=>[4,6,5,2,8,3,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[5,3,7,2,1,6,8,4]=>[4,6,2,7,8,3,1,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[3,5,1,4,6,8,2,7]=>[6,4,8,5,3,1,7,2]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[4,3,7,1,6,5,2,8]=>[5,6,2,8,3,4,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[8,6,3,2,5,4,1,7]=>[1,3,6,7,4,5,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[6,5,8,4,2,7,1,3]=>[3,4,1,5,7,2,8,6]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[2,4,5,1,8,6,3,7]=>[7,5,4,8,1,3,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[2,4,1,6,7,5,3,8]=>[7,5,8,3,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[6,3,7,1,5,2,4,8]=>[3,6,2,8,4,7,5,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[8,3,4,2,1,7,5,6]=>[1,6,5,7,8,2,4,3]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[7,8,1,4,2,3,5,6]=>[2,1,8,5,7,6,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[8,5,2,4,1,3,7,6]=>[1,4,7,5,8,6,2,3]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[5,1,2,4,3,6,8,7]=>[4,8,7,5,6,3,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[5,2,1,4,3,7,6,8]=>[4,7,8,5,6,2,3,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,2,1,5,8,3,4,7]=>[3,7,8,4,1,6,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[4,1,3,6,7,2,8,5]=>[5,8,6,3,2,7,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[6,1,3,2,4,5,8,7]=>[3,8,6,7,5,4,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[2,8,1,7,6,3,5,4]=>[7,1,8,2,3,6,4,5]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[3,7,8,6,5,1,2,4]=>[6,2,1,3,4,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[8,4,5,7,2,6,3,1]=>[1,5,4,2,7,3,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[3,6,8,7,1,5,2,4]=>[6,3,1,2,8,4,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[5,6,8,2,7,3,1,4]=>[4,3,1,7,2,6,8,5]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[7,5,4,8,3,2,1,6]=>[2,4,5,1,6,7,8,3]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[6,5,8,2,7,3,1,4]=>[3,4,1,7,2,6,8,5]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[6,4,8,2,7,3,1,5]=>[3,5,1,7,2,6,8,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[7,8,3,1,6,4,2,5]=>[2,1,6,8,3,5,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[7,8,1,3,6,4,2,5]=>[2,1,8,6,3,5,7,4]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,3,8,6,1,4,2,7]=>[4,6,1,3,8,5,7,2]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[5,8,1,3,7,4,2,6]=>[4,1,8,6,2,5,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,3,8,2,7,5,1,6]=>[5,6,1,7,2,4,8,3]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[4,5,7,8,3,2,1,6]=>[5,4,2,1,6,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[5,7,3,4,2,6,8,1]=>[4,2,6,5,7,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,7,4,2,3,6,8,1]=>[4,2,5,7,6,3,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[5,4,7,3,2,8,1,6]=>[4,5,2,6,7,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,8,3,4,6,1,2,7]=>[4,1,6,5,3,8,7,2]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[6,4,3,8,5,1,2,7]=>[3,5,6,1,4,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,4,8,2,3,5,1,7]=>[3,5,1,7,6,4,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,4,6,8,2,3,1,7]=>[4,5,3,1,7,6,8,2]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,6,8,4,1,2,3,7]=>[4,3,1,5,8,7,6,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[5,8,6,3,1,2,4,7]=>[4,1,3,6,8,7,5,2]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[5,6,1,3,2,4,8,7]=>[4,3,8,6,7,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[3,5,1,2,7,6,4,8]=>[6,4,8,7,2,3,5,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[4,3,6,1,2,5,8,7]=>[5,6,3,8,7,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[4,6,3,2,8,5,7,1]=>[5,3,6,7,1,4,2,8]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[1,4,3,2,6,8,5,7]=>[8,5,6,7,3,1,4,2]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,3,7,2,1,8,6,4]=>[4,6,2,7,8,1,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[5,4,3,7,2,6,8,1]=>[4,5,6,2,7,3,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[5,4,8,3,7,2,1,6]=>[4,5,1,6,2,7,8,3]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[3,6,8,5,2,1,7,4]=>[6,3,1,4,7,8,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[5,4,8,3,2,7,1,6]=>[4,5,1,6,7,2,8,3]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[5,4,3,7,2,1,6,8]=>[4,5,6,2,7,8,3,1]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[1,6,5,4,7,2,8,3]=>[8,3,4,5,2,7,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[3,6,5,7,2,1,8,4]=>[6,3,4,2,7,8,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[5,4,3,7,8,2,1,6]=>[4,5,6,2,1,7,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[3,4,5,6,7,8,2,9,1]=>[7,6,5,4,3,2,8,1,9]=>[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[6,2,1]
[3,4,5,6,7,8,9,2,10,1]=>[8,7,6,5,4,3,2,9,1,10]=>[[1,8,10],[2],[3],[4],[5],[6],[7],[9]]=>[7,2,1]
[2,4,5,6,7,8,3,1,9]=>[8,6,5,4,3,2,7,9,1]=>[[1,7,8],[2],[3],[4],[5],[6],[9]]=>[6,3]
[2,4,5,6,7,8,9,10,3,1]=>[9,7,6,5,4,3,2,1,8,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,2]
[1,4,8,6,3,2,7,5]=>[8,5,1,3,6,7,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,7,6,2,5,1,8,3]=>[5,2,3,7,4,8,1,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[1,3,5,2,8,6,4,7]=>[8,6,4,7,1,3,5,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[6,2,8,1,7,4,5,3]=>[3,7,1,8,2,5,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,1,2,3,5,4,8,7]=>[3,8,7,6,4,5,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[2,5,4,3,7,8,1,6]=>[7,4,5,6,2,1,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[7,1,6,8,3,5,4,2]=>[2,8,3,1,6,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[2,6,3,1,5,8,7,4]=>[7,3,6,8,4,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[7,2,1,4,8,6,3,5]=>[2,7,8,5,1,3,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[1,6,2,3,5,4,8,7]=>[8,3,7,6,4,5,1,2]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[3,5,8,7,4,6,2,1]=>[6,4,1,2,5,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[6,8,5,7,3,4,2,1]=>[3,1,4,2,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[2,4,1,8,7,6,3,5]=>[7,5,8,1,2,3,6,4]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[1,3,5,8,4,7,2,6]=>[8,6,4,1,5,2,7,3]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[2,3,8,7,5,1,6,4]=>[7,6,1,2,4,8,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[8,5,4,7,6,1,3,2]=>[1,4,5,2,3,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[4,1,3,5,6,2,8,7]=>[5,8,6,4,3,7,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[8,2,4,6,1,3,7,5]=>[1,7,5,3,8,6,2,4]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,2,3,5,6,1,4,7]=>[1,7,6,4,3,8,5,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,2,3,4,6,1,7,5]=>[1,7,6,5,3,8,2,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[3,8,2,7,6,4,1,5]=>[6,1,7,2,3,5,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[5,3,6,2,1,8,4,7]=>[4,6,3,7,8,1,5,2]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[4,3,8,6,2,7,1,5]=>[5,6,1,3,7,2,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[3,1,6,8,2,7,5,4]=>[6,8,3,1,7,2,4,5]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,3,8,6,7,2,1,4]=>[4,6,1,3,2,7,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[1,5,2,8,7,6,4,3]=>[8,4,7,1,2,3,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,7,1,4,6,5,3,8]=>[7,2,8,5,3,4,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,7,1,2,6,5,8,3]=>[5,2,8,7,3,4,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[4,2,5,6,8,7,3,1]=>[5,7,4,3,1,2,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[8,2,5,1,6,3,7,4]=>[1,7,4,8,3,6,2,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[8,3,4,5,1,6,7,2]=>[1,6,5,4,8,3,2,7]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[7,8,1,3,5,2,4,6]=>[2,1,8,6,4,7,5,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[1,7,8,3,5,2,6,4]=>[8,2,1,6,4,7,3,5]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[1,7,8,3,2,5,6,4]=>[8,2,1,6,7,4,3,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[3,5,7,6,4,8,1,2]=>[6,4,2,3,5,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,5,7,6,8,3,2,4]=>[8,4,2,3,1,6,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[1,5,7,6,8,3,4,2]=>[8,4,2,3,1,6,5,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[6,1,4,3,2,5,8,7]=>[3,8,5,6,7,4,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,4,2,1,3,6,5,8]=>[2,5,7,8,6,3,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,5,8,4,3,7,1,2]=>[3,4,1,5,6,2,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[5,3,6,7,8,4,1,2]=>[4,6,3,2,1,5,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[3,7,8,4,6,5,1,2]=>[6,2,1,5,3,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,2,7,6,3,8,1,4]=>[4,7,2,3,6,1,8,5]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[6,2,5,7,1,8,4,3]=>[3,7,4,2,8,1,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[1,8,3,2,4,6,5,7]=>[8,1,6,7,5,3,4,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[5,8,6,2,3,7,1,4]=>[4,1,3,7,6,2,8,5]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[1,4,8,3,6,7,2,5]=>[8,5,1,6,3,2,7,4]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[6,7,3,1,5,2,4,8]=>[3,2,6,8,4,7,5,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[3,5,6,7,2,1,8,4]=>[6,4,3,2,7,8,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[6,2,8,5,3,1,4,7]=>[3,7,1,4,6,8,5,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[2,1,7,4,3,8,5,6]=>[7,8,2,5,6,1,4,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[1,4,2,8,3,6,7,5]=>[8,5,7,1,6,3,2,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[6,5,1,3,4,7,8,2]=>[3,4,8,6,5,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,2,3,8,5,4,1,6]=>[2,7,6,1,4,5,8,3]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,4,1,7,8,2,6,5]=>[6,5,8,2,1,7,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[7,8,3,1,4,5,6,2]=>[2,1,6,8,5,4,3,7]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[5,8,1,4,3,7,6,2]=>[4,1,8,5,6,2,3,7]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[3,7,1,5,6,4,8,2]=>[6,2,8,4,3,5,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[6,1,8,7,3,2,5,4]=>[3,8,1,2,6,7,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[4,1,5,2,7,8,6,3]=>[5,8,4,7,2,1,3,6]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[7,8,1,5,6,2,4,3]=>[2,1,8,4,3,7,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,1,5,7,6,3,8,2]=>[5,8,4,2,3,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[1,4,2,6,3,8,5,10,7,9]=>[10,7,9,5,8,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[2,2,2,2,2]
[1,4,8,2,3,6,5,7]=>[8,5,1,7,6,3,4,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[1,4,7,3,2,6,5,8]=>[8,5,2,6,7,3,4,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[1,4,6,7,3,5,2,8]=>[8,5,3,2,6,4,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,5,3,4,8,2,7,6]=>[8,4,6,5,1,7,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[1,4,8,2,6,7,5,3]=>[8,5,1,7,3,2,4,6]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,4,7,8,2,3,6,5]=>[8,5,2,1,7,6,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,8,3,5,7,1,4,6]=>[7,1,6,4,2,8,5,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[1,7,3,2,4,5,6,8]=>[8,2,6,7,5,4,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[6,1,4,7,8,3,2,5]=>[3,8,5,2,1,6,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[1,7,3,2,4,5,8,6]=>[8,2,6,7,5,4,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[1,4,8,7,3,2,6,5]=>[8,5,1,2,6,7,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[4,2,6,5,3,1,7,8]=>[5,7,3,4,6,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[1,3,5,8,6,2,7,4]=>[8,6,4,1,3,7,2,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[2,3,8,4,1,7,6,5]=>[7,6,1,5,8,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[2,5,1,7,8,4,3,6]=>[7,4,8,2,1,5,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[4,7,5,2,3,1,6,8]=>[5,2,4,7,6,8,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,3,2,7,5,6,1,4]=>[1,6,7,2,4,3,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[3,6,7,4,1,5,2,8]=>[6,3,2,5,8,4,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[1,3,8,5,7,4,2,6]=>[8,6,1,4,2,5,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[2,3,8,6,5,4,1,7]=>[7,6,1,3,4,5,8,2]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[2,6,7,4,3,1,8,5]=>[7,3,2,5,6,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,8,6,7,4,1,5,3]=>[7,1,3,2,5,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[2,6,1,5,7,3,4,8]=>[7,3,8,4,2,6,5,1]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[3,6,1,5,2,7,4,8]=>[6,3,8,4,7,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[3,8,6,4,2,7,1,5]=>[6,1,3,5,7,2,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[1,8,2,5,7,4,6,3]=>[8,1,7,4,2,5,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[5,2,4,8,3,1,7,6]=>[4,7,5,1,6,8,2,3]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[2,5,8,4,3,1,6,7]=>[7,4,1,5,6,8,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[4,1,8,7,2,5,6,3]=>[5,8,1,2,7,4,3,6]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[6,1,5,2,3,4,8,7]=>[3,8,4,7,6,5,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[4,2,1,8,5,3,7,6]=>[5,7,8,1,4,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[2,5,8,7,6,4,1,3]=>[7,4,1,2,3,5,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[5,2,6,8,7,3,1,4]=>[4,7,3,1,2,6,8,5]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[3,1,2,8,6,7,5,4]=>[6,8,7,1,3,2,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[3,1,2,4,8,6,7,5]=>[6,8,7,5,1,3,2,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[5,6,2,4,3,8,1,7]=>[4,3,7,5,6,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[3,7,5,2,8,1,4,6]=>[6,2,4,7,1,8,5,3]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[5,1,4,7,3,2,8,6]=>[4,8,5,2,6,7,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,3,5,4,8,6,1,7]=>[7,6,4,5,1,3,8,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[2,3,5,7,4,8,1,6]=>[7,6,4,2,5,1,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[2,3,7,6,1,5,8,4]=>[7,6,2,3,8,4,1,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[8,3,2,4,1,7,6,5]=>[1,6,7,5,8,2,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[3,7,6,1,2,5,8,4]=>[6,2,3,8,7,4,1,5]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[4,7,1,6,8,5,3,2]=>[5,2,8,3,1,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,1,8,6,3,5,2,7]=>[5,8,1,3,6,4,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[4,1,5,8,6,2,3,7]=>[5,8,4,1,3,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[5,3,4,6,2,8,7,1]=>[4,6,5,3,7,1,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[5,4,8,6,3,7,1,2]=>[4,5,1,3,6,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[5,7,3,4,8,2,6,1]=>[4,2,6,5,1,7,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[6,5,2,3,7,4,1,8]=>[3,4,7,6,2,5,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[6,5,2,3,1,8,7,4]=>[3,4,7,6,8,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[6,5,3,7,4,1,2,8]=>[3,4,6,2,5,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,4,7,5,3,8,1,2]=>[3,5,2,4,6,1,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[5,7,6,4,8,3,1,2]=>[4,2,3,5,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[5,7,4,8,3,1,6,2]=>[4,2,5,1,6,8,3,7]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[3,1,5,4,8,6,2,7]=>[6,8,4,5,1,3,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[3,1,7,5,4,6,2,8]=>[6,8,2,4,5,3,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[2,5,6,3,7,4,1,8]=>[7,4,3,6,2,5,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[4,3,1,7,5,6,2,8]=>[5,6,8,2,4,3,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[4,3,1,5,8,6,2,7]=>[5,6,8,4,1,3,7,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[4,3,5,1,8,7,2,6]=>[5,6,4,8,1,2,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[2,5,3,6,1,8,4,7]=>[7,4,6,3,8,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[4,6,2,1,5,7,3,8]=>[5,3,7,8,4,2,6,1]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[6,4,2,7,8,3,1,5]=>[3,5,7,2,1,6,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[1,7,2,4,5,3,6,8]=>[8,2,7,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[1,5,2,6,7,4,3,8]=>[8,4,7,3,2,5,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[8,5,6,1,4,3,7,2]=>[1,4,3,8,5,6,2,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[5,6,4,8,2,1,3,7]=>[4,3,5,1,7,8,6,2]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[4,7,8,2,5,1,6,3]=>[5,2,1,7,4,8,3,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[5,6,3,8,1,2,4,7]=>[4,3,6,1,8,7,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[4,7,3,8,5,1,6,2]=>[5,2,6,1,4,8,3,7]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[4,3,2,7,5,8,1,6]=>[5,6,7,2,4,1,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[4,8,5,3,2,6,1,7]=>[5,1,4,6,7,3,8,2]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[2,8,4,5,3,6,1,7]=>[7,1,5,4,6,3,8,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[8,1,5,3,2,4,7,6]=>[1,8,4,6,7,5,2,3]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[8,6,1,3,2,7,4,5]=>[1,3,8,6,7,2,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,3,8,2,4,1,6,5]=>[2,6,1,7,5,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,5,8,1,6,4,2,3]=>[2,4,1,8,3,5,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[1,4,7,3,8,5,2,6]=>[8,5,2,6,1,4,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[8,1,4,3,7,5,6,2]=>[1,8,5,6,2,4,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,4,8,5,3,2,6,7]=>[8,5,1,4,6,7,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[8,2,7,6,4,1,5,3]=>[1,7,2,3,5,8,4,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[6,8,2,7,3,1,5,4]=>[3,1,7,2,6,8,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[6,8,1,4,7,5,3,2]=>[3,1,8,5,2,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,6,1,2,8,5,3,4]=>[2,3,8,7,1,4,6,5]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[7,3,1,8,4,6,5,2]=>[2,6,8,1,5,3,4,7]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[8,2,6,3,4,1,7,5]=>[1,7,3,6,5,8,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[4,1,5,8,3,6,7,2]=>[5,8,4,1,6,3,2,7]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[4,7,2,6,8,3,1,5]=>[5,2,7,3,1,6,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[7,5,2,8,1,6,3,4]=>[2,4,7,1,8,3,6,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,8,5,7,1,3,2,6]=>[5,1,4,2,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[3,4,7,2,1,5,8,6]=>[6,5,2,7,8,4,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[4,8,2,7,1,3,6,5]=>[5,1,7,2,8,6,3,4]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[5,2,1,8,7,4,6,3]=>[4,7,8,1,2,5,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[8,2,1,7,4,6,3,5]=>[1,7,8,2,5,3,6,4]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[4,2,5,8,3,6,7,1]=>[5,7,4,1,6,3,2,8]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[5,1,6,8,3,2,7,4]=>[4,8,3,1,6,7,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[4,1,5,6,8,2,7,3]=>[5,8,4,3,1,7,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[4,7,8,3,1,2,5,6]=>[5,2,1,6,8,7,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[4,8,5,3,1,6,7,2]=>[5,1,4,6,8,3,2,7]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,2,3,8,7,4,6,1]=>[4,7,6,1,2,5,3,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[5,2,1,3,8,4,7,6]=>[4,7,8,6,1,5,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[6,7,8,3,2,5,4,1]=>[3,2,1,6,7,4,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[6,2,3,7,8,1,4,5]=>[3,7,6,2,1,8,5,4]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[1,3,7,4,2,5,6,8]=>[8,6,2,5,7,4,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[1,3,8,6,4,2,7,5]=>[8,6,1,3,5,7,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,3,5,8,4,2,7,6]=>[8,6,4,1,5,7,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[1,3,8,4,5,2,7,6]=>[8,6,1,5,4,7,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[1,7,6,2,3,5,4,8]=>[8,2,3,7,6,4,5,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[1,7,6,4,2,3,5,8]=>[8,2,3,5,7,6,4,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[1,3,2,5,8,6,4,7]=>[8,6,7,4,1,3,5,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[6,1,4,7,2,8,5,3]=>[3,8,5,2,7,1,4,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[5,7,2,4,3,6,8,1]=>[4,2,7,5,6,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[1,8,4,5,6,2,7,3]=>[8,1,5,4,3,7,2,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[8,2,5,3,1,7,4,6]=>[1,7,4,6,8,2,5,3]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[2,7,5,1,4,8,3,6]=>[7,2,4,8,5,1,6,3]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[7,4,6,5,1,8,2,3]=>[2,5,3,4,8,1,7,6]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[2,8,4,1,7,3,6,5]=>[7,1,5,8,2,6,3,4]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[4,3,5,2,8,1,6,7]=>[5,6,4,7,1,8,3,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,4,1,8,6,2,7,3]=>[4,5,8,1,3,7,2,6]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[5,4,6,8,1,3,2,7]=>[4,5,3,1,8,6,7,2]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[6,4,8,3,5,7,2,1]=>[3,5,1,6,4,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[7,2,8,4,1,3,6,5]=>[2,7,1,5,8,6,3,4]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[5,8,1,2,4,3,6,7]=>[4,1,8,7,5,6,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[3,6,5,4,7,1,2,8]=>[6,3,4,5,2,8,7,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[8,4,6,3,5,7,2,1]=>[1,5,3,6,4,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,3,6,2,7,5,1,4]=>[1,6,3,7,2,4,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[2,8,4,7,3,1,6,5]=>[7,1,5,2,6,8,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[2,8,7,3,6,1,5,4]=>[7,1,2,6,3,8,4,5]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[1,8,4,7,5,3,6,2]=>[8,1,5,2,4,6,3,7]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[6,5,2,8,4,1,7,3]=>[3,4,7,1,5,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,8,5,7,1,4,6,3]=>[7,1,4,2,8,5,3,6]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[4,1,5,8,3,7,2,6]=>[5,8,4,1,6,2,7,3]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[8,6,3,5,7,2,4,1]=>[1,3,6,4,2,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[1,5,4,6,8,3,7,2]=>[8,4,5,3,1,6,2,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,4,8,3,5,7,2,6]=>[8,5,1,6,4,2,7,3]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[3,7,2,6,1,8,5,4]=>[6,2,7,3,8,1,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[7,3,6,2,8,5,1,4]=>[2,6,3,7,1,4,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[1,4,8,6,3,7,5,2]=>[8,5,1,3,6,2,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,8,5,3,7,4,2,6]=>[8,1,4,6,2,5,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[6,8,1,3,5,2,4,7]=>[3,1,8,6,4,7,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,3,5,1,6,7,4,2]=>[1,6,4,8,3,2,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[6,3,8,1,2,5,4,7]=>[3,6,1,8,7,4,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[8,2,5,1,6,7,4,3]=>[1,7,4,8,3,2,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[8,1,5,2,6,7,4,3]=>[1,8,4,7,3,2,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[7,6,4,8,5,3,2,1]=>[2,3,5,1,4,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[7,6,5,3,8,4,2,1]=>[2,3,4,6,1,5,7,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[7,6,5,4,2,8,3,1]=>[2,3,4,5,7,1,6,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[8,6,9,7,5,4,3,2,1]=>[2,4,1,3,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[3,6]
[7,5,4,8,6,3,2,1]=>[2,4,5,1,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[8,7,5,9,6,4,3,2,1]=>[2,3,5,1,4,6,7,8,9]=>[[1,2,3,6,7,8,9],[4,5]]=>[4,5]
[8,7,6,4,9,5,3,2,1]=>[2,3,4,6,1,5,7,8,9]=>[[1,2,3,4,7,8,9],[5,6]]=>[5,4]
[7,6,5,3,2,8,4,1]=>[2,3,4,6,7,1,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[8,7,6,5,4,2,9,3,1]=>[2,3,4,5,6,8,1,7,9]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,2]
[5,4,3,2,9,8,7,6,1,10]=>[6,7,8,9,2,3,4,5,10,1]=>[[1,2,3,4,9],[5,6,7,8],[10]]=>[5,5]
[1,4,3,6,5,8,7,10,9,2]=>[10,7,8,5,6,3,4,1,2,9]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>[2,2,2,2,2]
[1,4,3,10,9,8,7,6,5,2]=>[10,7,8,1,2,3,4,5,6,9]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>[2,2,6]
[1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[1,2,6,8,7,4,3,5]=>[8,7,3,1,2,5,6,4]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,6,2,8,7,4,3,5]=>[8,3,7,1,2,5,6,4]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,4,7,5,2,8,6,3]=>[8,5,2,4,7,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,8,5,2,7,4,3,6]=>[8,1,4,7,2,5,6,3]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[1,4,8,7,5,3,2,6]=>[8,5,1,2,4,6,7,3]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[1,5,8,7,6,2,4,3]=>[8,4,1,2,3,7,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[1,3,5,8,7,6,2,4]=>[8,6,4,1,2,3,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,6,8,7,5,3,2,4]=>[8,3,1,2,4,6,7,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[1,2,5,7,4,3,8,6]=>[8,7,4,2,5,6,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[1,4,2,6,8,7,5,3]=>[8,5,7,3,1,2,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,5,8,6,3,2,7,4]=>[8,4,1,3,6,7,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,8,5,2,6,3,4,7]=>[8,1,4,7,3,6,5,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,7,4,6,3,2,8,5]=>[8,2,5,3,6,7,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[1,3,8,6,4,2,5,7]=>[8,6,1,3,5,7,4,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[8,6,2,4,1,7,5,3]=>[1,3,7,5,8,2,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[3,7,2,8,1,6,4,5]=>[6,2,7,1,8,3,5,4]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[6,3,1,2,5,8,7,4]=>[3,6,8,7,4,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[8,5,2,4,6,7,3,1]=>[1,4,7,5,3,2,6,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[2,5,8,7,1,4,3,6]=>[7,4,1,2,8,5,6,3]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[5,2,4,1,6,7,8,3]=>[4,7,5,8,3,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[8,5,1,3,6,2,7,4]=>[1,4,8,6,3,7,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,2,1,3,6,7,4,5]=>[1,7,8,6,3,2,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,1,3,4,7,2,8,5]=>[3,8,6,5,2,7,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[8,4,7,1,5,3,2,6]=>[1,5,2,8,4,6,7,3]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,4,7,2,5,3,1,6]=>[1,5,2,7,4,6,8,3]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[6,3,4,7,2,1,5,8]=>[3,6,5,2,7,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[5,3,6,7,2,4,8,1]=>[4,6,3,2,7,5,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[3,8,4,1,6,7,2,5]=>[6,1,5,8,3,2,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,3,6,7,8,1,2,4]=>[4,6,3,2,1,8,7,5]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[2,8,3,6,1,4,7,5]=>[7,1,6,3,8,5,2,4]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[8,6,3,1,7,2,5,4]=>[1,3,6,8,2,7,4,5]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,6,4,2,7,1,5,3]=>[1,3,5,7,2,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[5,6,2,7,1,4,3,8]=>[4,3,7,2,8,5,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[5,3,6,7,4,1,2,8]=>[4,6,3,2,5,8,7,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[5,1,8,2,6,7,4,3]=>[4,8,1,7,3,2,5,6]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[3,8,5,1,6,7,4,2]=>[6,1,4,8,3,2,5,7]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[4,1,5,6,7,3,8,2]=>[5,8,4,3,2,6,1,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[4,1,5,6,7,3,2,8]=>[5,8,4,3,2,6,7,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[1,5,8,2,6,7,4,3]=>[8,4,1,7,3,2,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[5,8,6,1,7,4,3,2]=>[4,1,3,8,2,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[7,1,3,6,5,2,8,4]=>[2,8,6,3,4,7,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[8,2,1,4,5,7,6,3]=>[1,7,8,5,4,2,3,6]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[3,7,5,6,4,8,1,2]=>[6,2,4,3,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[7,6,8,1,3,5,4,2]=>[2,3,1,8,6,4,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,7,1,4,6,5,3,2]=>[1,2,8,5,3,4,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[3,5,8,6,7,1,4,2]=>[6,4,1,3,2,8,5,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,2,4,6,8,5,3,7]=>[8,7,5,3,1,4,6,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[3,1,5,8,6,2,4,7]=>[6,8,4,1,3,7,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[2,5,4,6,8,1,3,7]=>[7,4,5,3,1,8,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[7,2,5,8,6,4,1,3]=>[2,7,4,1,3,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[1,5,8,7,4,2,6,3]=>[8,4,1,2,5,7,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[6,8,7,5,4,3,1,2]=>[3,1,2,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[5,2,6,3,4,8,7,1]=>[4,7,3,6,5,1,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[8,1,5,7,6,4,2,3]=>[1,8,4,2,3,5,7,6]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[4,3,7,6,8,2,1,5]=>[5,6,2,3,1,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[8,1,4,7,2,3,5,6]=>[1,8,5,2,7,6,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,2,7,1,5,6,8,4]=>[6,7,2,8,4,3,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[8,7,2,6,3,1,4,5]=>[1,2,7,3,6,8,5,4]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[6,5,2,4,7,1,8,3]=>[3,4,7,5,2,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,4,2,3,7,1,8,6]=>[4,5,7,6,2,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,7,1,6,4,5,2,3]=>[1,2,8,3,5,4,7,6]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[7,6,1,5,8,4,2,3]=>[2,3,8,4,1,5,7,6]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,6,3,7,2,5,4,1]=>[1,3,6,2,7,4,5,8]=>[[1,2,3,5,8],[4,6,7]]=>[4,2,2]
[8,3,4,7,6,2,1,5]=>[1,6,5,2,3,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,4,5,7,1,3,2,6]=>[1,5,4,2,8,6,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[3,1,8,7,5,2,4,6]=>[6,8,1,2,4,7,5,3]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[6,5,8,7,2,4,3,1]=>[3,4,1,2,7,5,6,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[4,3,6,5,8,2,1,7]=>[5,6,3,4,1,7,8,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[4,3,7,1,8,5,2,6]=>[5,6,2,8,1,4,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[3,7,6,8,2,1,4,5]=>[6,2,3,1,7,8,5,4]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[7,4,6,1,8,3,2,5]=>[2,5,3,8,1,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[3,6,8,7,2,1,4,5]=>[6,3,1,2,7,8,5,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[3,8,7,2,5,6,1,4]=>[6,1,2,7,4,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[3,2,8,5,6,7,1,4]=>[6,7,1,4,3,2,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[7,3,6,2,5,8,1,4]=>[2,6,3,7,4,1,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,4,2,1,6,8,3,5]=>[2,5,7,8,3,1,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[7,3,1,8,5,4,2,6]=>[2,6,8,1,4,5,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[6,8,3,2,7,1,4,5]=>[3,1,6,7,2,8,5,4]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,3,6,2,5,7,1,4]=>[1,6,3,7,4,2,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[3,7,8,2,5,6,1,4]=>[6,2,1,7,4,3,8,5]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[7,5,1,4,2,3,6,8]=>[2,4,8,5,7,6,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[7,8,6,1,2,4,5,3]=>[2,1,3,8,7,5,4,6]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[5,1,2,4,7,8,6,3]=>[4,8,7,5,2,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[5,1,7,8,6,2,3,4]=>[4,8,2,1,3,7,6,5]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[8,5,1,6,7,2,3,4]=>[1,4,8,3,2,7,6,5]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[7,5,1,2,4,6,8,3]=>[2,4,8,7,5,3,1,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[7,1,2,6,4,5,8,3]=>[2,8,7,3,5,4,1,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[1,7,3,6,4,5,8,2]=>[8,2,6,3,5,4,1,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[8,1,6,2,7,3,4,5]=>[1,8,3,7,2,6,5,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[7,1,6,2,5,3,4,8]=>[2,8,3,7,4,6,5,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[8,1,7,2,5,3,4,6]=>[1,8,2,7,4,6,5,3]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[8,1,2,7,4,5,6,3]=>[1,8,7,2,5,4,3,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[3,1,2,8,5,6,7,4]=>[6,8,7,1,4,3,2,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[6,3,1,2,7,4,5,8]=>[3,6,8,7,2,5,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[7,1,8,2,5,3,4,6]=>[2,8,1,7,4,6,5,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[5,1,7,2,6,3,4,8]=>[4,8,2,7,3,6,5,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[1,6,3,7,4,5,8,2]=>[8,3,6,2,5,4,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[2,5,8,4,3,6,1,7]=>[7,4,1,5,6,3,8,2]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[2,4,8,6,3,5,1,7]=>[7,5,1,3,6,4,8,2]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[2,3,7,5,4,1,6,8]=>[7,6,2,4,5,8,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[3,4,6,2,1,5,8,7]=>[6,5,3,7,8,4,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[2,5,8,3,4,1,7,6]=>[7,4,1,6,5,8,2,3]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[2,4,7,1,3,6,8,5]=>[7,5,2,8,6,3,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[5,4,7,8,1,3,2,6]=>[4,5,2,1,8,6,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[2,5,7,1,4,3,6,8]=>[7,4,2,8,5,6,3,1]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[2,5,7,3,1,4,6,8]=>[7,4,2,6,8,5,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[4,6,3,7,1,5,2,8]=>[5,3,6,2,8,4,7,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[4,6,3,7,1,5,8,2]=>[5,3,6,2,8,4,1,7]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[3,6,8,5,4,1,7,2]=>[6,3,1,4,5,8,2,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[2,4,7,1,6,8,3,5]=>[7,5,2,8,3,1,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[2,4,8,3,1,7,6,5]=>[7,5,1,6,8,2,3,4]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[5,3,6,4,7,1,2,8]=>[4,6,3,5,2,8,7,1]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[7,6,1,4,2,3,5,8]=>[2,3,8,5,7,6,4,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[6,5,4,8,1,3,2,7]=>[3,4,5,1,8,6,7,2]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,5,4,8,3,1,2,6]=>[2,4,5,1,6,8,7,3]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,5,1,4,8,3,2,7]=>[3,4,8,5,1,6,7,2]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[7,6,5,2,4,8,3,1]=>[2,3,4,7,5,1,6,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[7,6,5,3,8,2,1,4]=>[2,3,4,6,1,7,8,5]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[8,7,6,3,1,2,5,4]=>[1,2,3,6,8,7,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,7,1,4,3,2,5,6]=>[1,2,8,5,6,7,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[2,7,3,6,1,5,8,4]=>[7,2,6,3,8,4,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,4,1,2,5,3,8,6]=>[2,5,8,7,4,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[8,4,1,2,5,3,6,7]=>[1,5,8,7,4,6,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[7,3,8,4,2,5,1,6]=>[2,6,1,5,7,4,8,3]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[7,3,8,4,2,5,6,1]=>[2,6,1,5,7,4,3,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[8,7,1,4,3,2,6,5]=>[1,2,8,5,6,7,3,4]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[8,7,6,3,1,4,5,2]=>[1,2,3,6,8,5,4,7]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,7,6,3,1,5,4,2]=>[1,2,3,6,8,4,5,7]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[2,8,3,7,4,5,6,1]=>[7,1,6,2,5,4,3,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[2,9,8,1,7,6,5,4,3]=>[8,1,2,9,3,4,5,6,7]=>[[1,3,4,6,7,8,9],[2,5]]=>[2,3,4]
[4,3,7,5,2,1,6,8]=>[5,6,2,4,7,8,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[1,6,7,4,3,2,5,8]=>[8,3,2,5,6,7,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[2,5,1,4,7,8,3,6]=>[7,4,8,5,2,1,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[4,3,7,1,5,2,6,8]=>[5,6,2,8,4,7,3,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[3,5,1,6,4,2,7,8]=>[6,4,8,3,5,7,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[6,3,2,5,7,1,4,8]=>[3,6,7,4,2,8,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[2,1,6,3,5,7,8,4]=>[7,8,3,6,4,2,1,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[5,6,2,1,4,3,7,8]=>[4,3,7,8,5,6,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[2,5,4,1,6,3,7,8]=>[7,4,5,8,3,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[4,6,1,5,2,7,3,8]=>[5,3,8,4,7,2,6,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[1,2,4,7,5,3,6,8]=>[8,7,5,2,4,6,3,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[5,8,2,6,1,7,4,3]=>[4,1,7,3,8,2,5,6]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[1,5,3,7,6,2,8,4]=>[8,4,6,2,3,7,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[1,7,8,2,4,6,5,3]=>[8,2,1,7,5,3,4,6]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,5,8,3,6,2,7,4]=>[8,4,1,6,3,7,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[6,8,7,1,4,5,2,3]=>[3,1,2,8,5,4,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[7,8,1,4,6,5,2,3]=>[2,1,8,5,3,4,7,6]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[6,8,7,1,2,4,5,3]=>[3,1,2,8,7,5,4,6]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[4,8,7,6,2,1,5,3]=>[5,1,2,3,7,8,4,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[5,4,2,3,8,6,1,7]=>[4,5,7,6,1,3,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[2,6,1,8,5,4,3,7]=>[7,3,8,1,4,5,6,2]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[5,8,6,2,3,4,1,7]=>[4,1,3,7,6,5,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,4,7,5,8,2,1,3]=>[3,5,2,4,1,7,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,8,2,1,5,7,6,3]=>[5,1,7,8,4,2,3,6]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[2,1,4,8,5,6,3,7]=>[7,8,5,1,4,3,6,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[4,8,5,6,2,1,3,7]=>[5,1,4,3,7,8,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[6,2,1,5,8,4,3,7]=>[3,7,8,4,1,5,6,2]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[2,8,6,3,4,1,5,7]=>[7,1,3,6,5,8,4,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[4,6,2,5,7,3,8,1]=>[5,3,7,4,2,6,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[4,2,8,5,3,6,1,7]=>[5,7,1,4,6,3,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[6,2,4,5,8,1,7,3]=>[3,7,5,4,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[4,2,5,7,8,3,6,1]=>[5,7,4,2,1,6,3,8]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[6,2,1,4,5,7,8,3]=>[3,7,8,5,4,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[2,1,7,8,4,5,6,3]=>[7,8,2,1,5,4,3,6]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[7,6,5,4,3,1,9,2,8]=>[3,4,5,6,7,9,1,8,2]=>[[1,2,3,4,5,6],[7,8],[9]]=>[7,2]
[6,5,4,2,1,8,3,7]=>[3,4,5,7,8,1,6,2]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[5,4,3,1,8,6,2,7]=>[4,5,6,8,1,3,7,2]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[7,6,5,3,1,2,8,4]=>[2,3,4,6,8,7,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,5,4,1,2,8,7,3]=>[3,4,5,8,7,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,7,6,5,4,3,1,10,2,9]=>[3,4,5,6,7,8,10,1,9,2]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[8,2]
[7,6,5,4,2,1,9,3,8]=>[3,4,5,6,8,9,1,7,2]=>[[1,2,3,4,5,6],[7,8],[9]]=>[7,2]
[6,5,3,2,1,8,4,7]=>[3,4,6,7,8,1,5,2]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[4,3,1,8,6,5,2,7]=>[5,6,8,1,3,4,7,2]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,7,6,5,4,2,1,10,3,9]=>[3,4,5,6,7,9,10,1,8,2]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[8,2]
[6,2,3,1,7,8,4,5]=>[3,7,6,8,2,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[5,1,3,2,6,4,7,8]=>[4,8,6,7,3,5,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[4,2,5,1,8,6,7,3]=>[5,7,4,8,1,3,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[7,5,8,1,4,2,6,3]=>[2,4,1,8,5,7,3,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,5,3,7,1,6,8,2]=>[5,4,6,2,8,3,1,7]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[4,2,8,5,3,6,7,1]=>[5,7,1,4,6,3,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[2,8,6,3,5,4,7,1]=>[7,1,3,6,4,5,2,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[5,2,4,7,6,1,8,3]=>[4,7,5,2,3,8,1,6]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[5,8,2,3,6,1,4,7]=>[4,1,7,6,3,8,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[5,1,4,7,2,6,8,3]=>[4,8,5,2,7,3,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[7,1,6,3,2,4,5,8]=>[2,8,3,6,7,5,4,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[4,1,6,8,3,2,5,7]=>[5,8,3,1,6,7,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[2,5,7,1,6,4,8,3]=>[7,4,2,8,3,5,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[2,4,8,3,7,5,1,6]=>[7,5,1,6,2,4,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,7,4,6,1,8,5,2]=>[6,2,5,3,8,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[5,6,2,3,8,1,4,7]=>[4,3,7,6,1,8,5,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[5,6,1,2,4,7,3,8]=>[4,3,8,7,5,2,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[2,7,1,4,8,5,6,3]=>[7,2,8,5,1,4,3,6]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[1,6,3,4,7,2,8,5]=>[8,3,6,5,2,7,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,3,7,6,2,1,5,4]=>[1,6,2,3,7,8,4,5]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[8,5,2,7,6,1,4,3]=>[1,4,7,2,3,8,5,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[5,8,2,7,6,1,4,3]=>[4,1,7,2,3,8,5,6]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[8,3,7,6,2,5,1,4]=>[1,6,2,3,7,4,8,5]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[7,3,8,6,5,1,4,2]=>[2,6,1,3,4,8,5,7]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[8,7,1,2,3,4,5,6,9]=>[2,3,9,8,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9]
[9,8,7,6,5,4,1,2,3,10]=>[2,3,4,5,6,7,10,9,8,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10]
[6,2,4,7,5,3,8,1]=>[3,7,5,2,4,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[7,1,3,2,5,8,6,4]=>[2,8,6,7,4,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[5,4,7,1,3,8,6,2]=>[4,5,2,8,6,1,3,7]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[7,8,4,6,2,1,3,5]=>[2,1,5,3,7,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[1,8,2,6,4,7,3,5]=>[8,1,7,3,5,2,6,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,6,7,5,2,8,4,3]=>[8,3,2,4,7,1,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[8,1,7,6,3,4,2,5]=>[1,8,2,3,6,5,7,4]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[8,1,4,2,5,7,3,6]=>[1,8,5,7,4,2,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[7,2,6,5,8,4,3,1]=>[2,7,3,4,1,5,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[1,5,6,3,2,4,7,8]=>[8,4,3,6,7,5,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[6,3,5,2,4,1,7,8]=>[3,6,4,7,5,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,8,3,5,2,4,6,1]=>[2,1,6,4,7,5,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[2,4,5,7,3,6,1,8]=>[7,5,4,2,6,3,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[5,7,4,3,2,6,1,8]=>[4,2,5,6,7,3,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[2,6,7,8,4,3,5,1]=>[7,3,2,1,5,6,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,4,8,6,3,5,2,1]=>[2,5,1,3,6,4,7,8]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[1,6,5,8,7,4,2,3]=>[8,3,4,1,2,5,7,6]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[1,7,5,6,8,2,4,3]=>[8,2,4,3,1,7,5,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[7,5,4,2,1,8,6,3]=>[2,4,5,7,8,1,3,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[3,6,7,4,2,8,5,1]=>[6,3,2,5,7,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[7,2,5,4,6,1,3,8]=>[2,7,4,5,3,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,3,2,1,5,6,4,8]=>[2,6,7,8,4,3,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[3,6,2,1,7,5,4,8]=>[6,3,7,8,2,4,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[2,6,7,3,1,5,4,8]=>[7,3,2,6,8,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[2,1,6,4,7,5,3,8]=>[7,8,3,5,2,4,6,1]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[7,6,8,5,4,1,3,2]=>[2,3,1,4,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[7,1,8,4,6,5,3,2]=>[2,8,1,5,3,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[7,6,1,4,5,3,2,8]=>[2,3,8,5,4,6,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[7,1,5,6,4,3,2,8]=>[2,8,4,3,5,6,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[3,5,8,2,1,6,7,4]=>[6,4,1,7,8,3,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[5,6,3,2,8,1,7,4]=>[4,3,6,7,1,8,2,5]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[8,2,6,3,1,5,7,4]=>[1,7,3,6,8,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[8,2,5,3,6,1,7,4]=>[1,7,4,6,3,8,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,1,2,4,6,8,7,3]=>[4,8,7,5,3,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[8,2,5,6,7,4,3,1]=>[1,7,4,3,2,5,6,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[7,5,3,2,4,1,8,6]=>[2,4,6,7,5,8,1,3]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[7,1,2,3,6,8,4,5]=>[2,8,7,6,3,1,5,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[8,2,5,3,4,1,6,7]=>[1,7,4,6,5,8,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[5,7,3,6,8,4,1,2]=>[4,2,6,3,1,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,1,6,8,5,3,4,2]=>[2,8,3,1,4,6,5,7]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[4,1,3,8,6,5,2,7]=>[5,8,6,1,3,4,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[7,1,6,8,5,3,2,4]=>[2,8,3,1,4,6,7,5]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,2,5,3,4,6,7,1]=>[1,7,4,6,5,3,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[6,5,2,4,3,1,7,8]=>[3,4,7,5,6,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[8,1,6,7,4,2,5,3]=>[1,8,3,2,5,7,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,1,6,4,5,2,7,3]=>[1,8,3,5,4,7,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,6,4,1,2,3,7,5]=>[1,3,5,8,7,6,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,6,1,4,2,5,7,3]=>[1,3,8,5,7,4,2,6]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,6,4,2,5,3,1,7]=>[1,3,5,7,4,6,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,6,4,2,1,5,7,3]=>[1,3,5,7,8,4,2,6]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,6,1,4,7,2,5,3]=>[1,3,8,5,2,7,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,6,1,4,7,2,3,5]=>[1,3,8,5,2,7,6,4]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,6,7,1,4,5,2,3]=>[1,3,2,8,5,4,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,6,4,5,2,7,3,1]=>[1,3,5,4,7,2,6,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[8,6,7,4,2,1,5,3]=>[1,3,2,5,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[8,6,4,7,2,1,5,3]=>[1,3,5,2,7,8,4,6]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[8,6,4,2,5,1,7,3]=>[1,3,5,7,4,8,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,6,4,5,1,2,7,3]=>[1,3,5,4,8,7,2,6]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[5,3,8,6,4,1,7,2]=>[4,6,1,3,5,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[6,1,2,3,4,5,7,8,9]=>[4,9,8,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9]
[5,1,2,3,4,6,7,8,9]=>[5,9,8,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9]
[4,1,2,3,5,6,7,8,9]=>[6,9,8,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9]
[5,7,4,2,3,8,6,1]=>[4,2,5,7,6,1,3,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[4,8,5,2,1,7,3,6]=>[5,1,4,7,8,2,6,3]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[8,5,7,6,1,2,4,3]=>[1,4,2,3,8,7,5,6]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[6,8,7,5,2,4,1,3]=>[3,1,2,4,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[5,7,6,8,4,1,3,2]=>[4,2,3,1,5,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[5,3,1,7,4,8,6,2]=>[4,6,8,2,5,1,3,7]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[8,6,4,1,7,3,2,5]=>[1,3,5,8,2,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[4,6,8,3,7,1,2,5]=>[5,3,1,6,2,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[3,5,2,8,4,7,1,6]=>[6,4,7,1,5,2,8,3]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[6,4,8,3,7,2,1,5]=>[3,5,1,6,2,7,8,4]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[3,6,2,8,7,4,1,5]=>[6,3,7,1,2,5,8,4]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[6,8,4,2,7,3,1,5]=>[3,1,5,7,2,6,8,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[5,4,8,6,7,3,2,1]=>[4,5,1,3,2,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[5,6,7,9,8,4,3,2,1]=>[5,4,3,1,2,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[4,7,3,2,5,6,8,1]=>[5,2,6,7,4,3,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[1,7,3,6,8,4,2,5]=>[8,2,6,3,1,5,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[1,7,8,2,4,3,5,6]=>[8,2,1,7,5,6,4,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[5,7,4,8,1,3,2,6]=>[4,2,5,1,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,3,7,8,1,5,2,6]=>[5,6,2,1,8,4,7,3]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[8,5,4,2,6,1,7,3]=>[1,4,5,7,3,8,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[2,3,7,5,1,8,6,4]=>[7,6,2,4,8,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[6,3,1,2,8,7,4,5]=>[3,6,8,7,1,2,5,4]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[5,4,6,8,3,1,7,2]=>[4,5,3,1,6,8,2,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[3,6,8,4,5,1,7,2]=>[6,3,1,5,4,8,2,7]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[7,3,1,2,8,6,4,5]=>[2,6,8,7,1,3,5,4]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[2,3,7,6,1,8,5,4]=>[7,6,2,3,8,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[6,2,8,3,1,4,7,5]=>[3,7,1,6,8,5,2,4]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[1,6,8,3,2,4,7,5]=>[8,3,1,6,7,5,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[8,4,1,7,3,2,5,6]=>[1,5,8,2,6,7,4,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[8,3,1,6,2,7,5,4]=>[1,6,8,3,7,2,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[1,6,3,7,2,5,4,8]=>[8,3,6,2,7,4,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,7,2,6,8,3,4,5]=>[8,2,7,3,1,6,5,4]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[1,7,2,4,6,3,5,8]=>[8,2,7,5,3,6,4,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[4,7,6,5,8,3,1,2]=>[5,2,3,4,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,6,8,3,1,5,4,7]=>[7,3,1,6,8,4,5,2]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[2,6,8,3,1,4,5,7]=>[7,3,1,6,8,5,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[5,6,2,8,4,1,3,7]=>[4,3,7,1,5,8,6,2]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[2,4,8,3,1,6,7,5]=>[7,5,1,6,8,3,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[3,4,2,6,1,5,8,7]=>[6,5,7,3,8,4,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,5,8,4,2,1,6,7]=>[6,4,1,5,7,8,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,4,2,7,1,6,5,8]=>[6,5,7,2,8,3,4,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,2,6,7,1,5,8,4]=>[6,7,3,2,8,4,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[2,8,7,1,4,3,5,6]=>[7,1,2,8,5,6,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,7,4,6,1,3,2,5]=>[1,2,5,3,8,6,7,4]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,3,8,6,1,4,5,2]=>[2,6,1,3,8,5,4,7]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[5,4,7,8,3,2,6,1]=>[4,5,2,1,6,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[7,4,5,8,3,1,6,2]=>[2,5,4,1,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[3,4,8,5,7,1,2,6]=>[6,5,1,4,2,8,7,3]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[3,6,8,2,5,1,4,7]=>[6,3,1,7,4,8,5,2]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[3,6,8,7,2,5,4,1]=>[6,3,1,2,7,4,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[3,5,7,2,8,1,6,4]=>[6,4,2,7,1,8,3,5]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,4,7,5,8,1,6,2]=>[6,5,2,4,1,8,3,7]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,4,6,5,8,2,1,7]=>[6,5,3,4,1,7,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[2,4,6,7,8,3,5,1]=>[7,5,3,2,1,6,4,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[1,2,6,8,3,5,4,7]=>[8,7,3,1,6,4,5,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[1,5,7,6,3,2,4,8]=>[8,4,2,3,6,7,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[1,6,3,2,4,7,5,8]=>[8,3,6,7,5,2,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,6,3,2,4,8,7,5]=>[8,3,6,7,5,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[1,8,4,7,5,2,6,3]=>[8,1,5,2,4,7,3,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[1,7,5,2,6,3,4,8]=>[8,2,4,7,3,6,5,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,6,3,2,7,5,4,8]=>[8,3,6,7,2,4,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[1,3,7,6,4,2,5,8]=>[8,6,2,3,5,7,4,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[1,3,2,4,8,5,7,6]=>[8,6,7,5,1,4,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[1,4,6,3,2,8,7,5]=>[8,5,3,6,7,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,5,7,6,4,2,3,8]=>[8,4,2,3,5,7,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[1,6,3,5,2,7,4,8]=>[8,3,6,4,7,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[1,6,3,5,2,8,7,4]=>[8,3,6,4,7,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[6,4,7,1,5,3,8,2]=>[3,5,2,8,4,6,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,3,8,2,6,4,7,1]=>[4,6,1,7,3,5,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[4,3,8,2,6,5,7,1]=>[5,6,1,7,3,4,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[2,6,1,8,3,4,7,5]=>[7,3,8,1,6,5,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[1,6,2,8,3,4,7,5]=>[8,3,7,1,6,5,2,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[5,7,1,4,8,2,3,6]=>[4,2,8,5,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[6,5,7,1,4,3,8,2]=>[3,4,2,8,5,6,1,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,1,8,2,3,4,6,5]=>[2,8,1,7,6,5,3,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[4,8,3,5,7,6,1,2]=>[5,1,6,4,2,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,7,6,1,2,4,8,3]=>[4,2,3,8,7,5,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[4,8,3,5,7,6,2,1]=>[5,1,6,4,2,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[3,4,2,1,8,5,7,6]=>[6,5,7,8,1,4,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[6,7,5,1,2,8,4,3]=>[3,2,4,8,7,1,5,6]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[1,3,4,2,8,5,7,6]=>[8,6,5,7,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[7,5,1,8,4,2,3,6]=>[2,4,8,1,5,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[5,7,6,1,4,8,3,2]=>[4,2,3,8,5,1,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[2,5,3,1,8,4,7,6]=>[7,4,6,8,1,5,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[5,7,6,2,4,8,3,1]=>[4,2,3,7,5,1,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[6,7,5,2,3,8,4,1]=>[3,2,4,7,6,1,5,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[6,7,5,3,8,4,2,1]=>[3,2,4,6,1,5,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[3,2,1,4,8,5,7,6]=>[6,7,8,5,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[7,4,1,6,2,5,3,8]=>[2,5,8,3,7,4,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,7,2,6,1,4,3,8]=>[4,2,7,3,8,5,6,1]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,7,2,5,1,4,3,8]=>[3,2,7,4,8,5,6,1]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[6,4,1,8,2,5,3,7]=>[3,5,8,1,7,4,6,2]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[5,4,1,8,2,6,3,7]=>[4,5,8,1,7,3,6,2]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[5,3,1,7,2,6,4,8]=>[4,6,8,2,7,3,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[6,3,1,5,2,7,4,8]=>[3,6,8,4,7,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,5,1,4,2,7,3,8]=>[3,4,8,5,7,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,2,1,4,3,7,5,8]=>[3,7,8,5,6,2,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[5,6,1,3,2,8,4,7]=>[4,3,8,6,7,1,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[5,6,1,4,2,8,3,7]=>[4,3,8,5,7,1,6,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[5,4,1,8,3,7,2,6]=>[4,5,8,1,6,2,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[1,3,7,8,4,5,6,2]=>[8,6,2,1,5,4,3,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[8,4,2,3,1,6,5,7]=>[1,5,7,6,8,3,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[4,6,2,3,1,8,7,5]=>[5,3,7,6,8,1,2,4]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[6,4,2,8,5,3,7,1]=>[3,5,7,1,4,6,2,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[6,4,2,1,8,5,3,7]=>[3,5,7,8,1,4,6,2]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[4,2,6,1,5,8,3,7]=>[5,7,3,8,4,1,6,2]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[6,4,5,2,8,7,1,3]=>[3,5,4,7,1,2,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[4,2,3,6,5,8,1,7]=>[5,7,6,3,4,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[6,4,2,3,5,8,1,7]=>[3,5,7,6,4,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[6,4,2,3,1,8,5,7]=>[3,5,7,6,8,1,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,6,2,1,4,3,7,5]=>[1,3,7,8,5,6,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[2,8,6,4,5,1,7,3]=>[7,1,3,5,4,8,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[8,6,2,1,4,7,3,5]=>[1,3,7,8,5,2,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[8,2,4,6,7,1,5,3]=>[1,7,5,3,2,8,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[8,6,7,2,1,4,5,3]=>[1,3,2,7,8,5,4,6]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[4,3,2,6,1,8,7,5]=>[5,6,7,3,8,1,2,4]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[3,6,1,2,5,8,7,4]=>[6,3,8,7,4,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[1,4,3,7,2,8,6,5]=>[8,5,6,2,7,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[2,8,3,1,4,5,7,6]=>[7,1,6,8,5,4,2,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[6,1,7,2,8,4,5,3]=>[3,8,2,7,1,5,4,6]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[8,3,2,1,5,6,7,4]=>[1,6,7,8,4,3,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[7,2,6,3,5,8,1,4]=>[2,7,3,6,4,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[6,3,4,2,7,8,5,1]=>[3,6,5,7,2,1,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[1,4,3,8,5,2,7,6]=>[8,5,6,1,4,7,2,3]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[8,7,4,5,1,6,3,2]=>[1,2,5,4,8,3,6,7]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,2,7,8,1,3,5,4]=>[3,7,2,1,8,6,4,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[4,3,2,8,6,1,7,5]=>[5,6,7,1,3,8,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,2,8,1,3,4,6,5]=>[2,7,1,8,6,5,3,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[1,4,8,3,5,6,7,2]=>[8,5,1,6,4,3,2,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[5,8,2,3,1,7,4,6]=>[4,1,7,6,8,2,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[2,5,8,3,6,1,4,7]=>[7,4,1,6,3,8,5,2]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[8,1,4,6,5,3,2,7]=>[1,8,5,3,4,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[8,1,5,2,3,4,7,6]=>[1,8,4,7,6,5,2,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[8,1,4,7,6,5,2,3]=>[1,8,5,2,3,4,7,6]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,1,3,7,5,2,4,6]=>[1,8,6,2,4,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,1,3,6,7,5,2,4]=>[1,8,6,3,2,4,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,1,2,7,6,5,4,3]=>[1,8,7,2,3,4,5,6]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[7,5,3,2,6,4,1,8]=>[2,4,6,7,3,5,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[3,2,8,6,1,5,7,4]=>[6,7,1,3,8,4,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,4,7,2,1,5,6,8]=>[6,5,2,7,8,4,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[3,7,2,5,8,4,6,1]=>[6,2,7,4,1,5,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[7,3,4,6,5,1,2,8]=>[2,6,5,3,4,8,7,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[7,2,4,5,6,1,8,3]=>[2,7,5,4,3,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[7,8,6,1,2,5,4,3]=>[2,1,3,8,7,4,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[6,1,8,7,4,5,2,3]=>[3,8,1,2,5,4,7,6]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[4,8,7,1,6,3,2,5]=>[5,1,2,8,3,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[3,1,2,7,5,6,4,8]=>[6,8,7,2,4,3,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[1,6,8,7,2,3,5,4]=>[8,3,1,2,7,6,4,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[1,5,2,4,8,3,6,7]=>[8,4,7,5,1,6,3,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[1,2,8,3,5,4,7,6]=>[8,7,1,6,4,5,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[1,3,8,2,5,4,7,6]=>[8,6,1,7,4,5,2,3]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[1,5,6,4,7,2,3,8]=>[8,4,3,5,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[1,6,5,4,7,2,3,8]=>[8,3,4,5,2,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[1,5,8,2,3,6,7,4]=>[8,4,1,7,6,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[1,7,8,5,4,2,3,6]=>[8,2,1,4,5,7,6,3]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[1,5,7,6,2,4,3,8]=>[8,4,2,3,7,5,6,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,8,4,7,3,2,6,5]=>[8,1,5,2,6,7,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[1,6,5,8,3,7,4,2]=>[8,3,4,1,6,2,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[1,4,8,3,2,7,5,6]=>[8,5,1,6,7,2,4,3]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[1,8,3,6,4,5,2,7]=>[8,1,6,3,5,4,7,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[8,5,7,2,3,6,4,1]=>[1,4,2,7,6,3,5,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[3,1,5,6,8,4,2,7]=>[6,8,4,3,1,5,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[7,5,2,1,6,8,3,4]=>[2,4,7,8,3,1,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[1,3,6,8,4,2,5,7]=>[8,6,3,1,5,7,4,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[7,6,3,2,1,8,4,5]=>[2,3,6,7,8,1,5,4]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[2,8,7,3,4,6,1,5]=>[7,1,2,6,5,3,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[6,5,1,3,7,2,8,4]=>[3,4,8,6,2,7,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,2,1,4,8,5,3,6]=>[2,7,8,5,1,4,6,3]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[6,8,7,3,4,2,1,5]=>[3,1,2,6,5,7,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[1,8,5,3,4,6,2,7]=>[8,1,4,6,5,3,7,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[5,8,4,3,1,6,2,7]=>[4,1,5,6,8,3,7,2]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,1,3,6,4,5,8,2]=>[2,8,6,3,5,4,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[7,1,5,3,6,4,8,2]=>[2,8,4,6,3,5,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[5,8,7,1,2,6,3,4]=>[4,1,2,8,7,3,6,5]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,8,2,3,4,7,1,5]=>[3,1,7,6,5,2,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,1,3,2,4,7,8,5]=>[3,8,6,7,5,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[6,2,1,3,4,7,8,5]=>[3,7,8,6,5,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[3,2,5,8,7,4,1,6]=>[6,7,4,1,2,5,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[4,2,5,8,7,3,1,6]=>[5,7,4,1,2,6,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[3,4,8,5,7,2,1,6]=>[6,5,1,4,2,7,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,8,4,7,3,6,2,1]=>[4,1,5,2,6,3,7,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[4,2,8,7,3,1,6,5]=>[5,7,1,2,6,8,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[5,1,3,2,6,8,7,4]=>[4,8,6,7,3,1,2,5]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[5,6,3,8,7,2,1,4]=>[4,3,6,1,2,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[1,6,2,4,8,5,7,3]=>[8,3,7,5,1,4,2,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[3,1,6,5,8,7,2,4]=>[6,8,3,4,1,2,7,5]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[4,8,5,3,6,7,1,2]=>[5,1,4,6,3,2,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[7,5,2,1,4,3,6,8]=>[2,4,7,8,5,6,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[2,8,7,3,5,6,4,1]=>[7,1,2,6,4,3,5,8]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[1,8,6,3,2,5,4,7]=>[8,1,3,6,7,4,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[3,2,4,8,5,7,1,6]=>[6,7,5,1,4,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[6,8,5,2,3,7,1,4]=>[3,1,4,7,6,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[1,3,4,8,6,7,2,5]=>[8,6,5,1,3,2,7,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[8,3,1,4,6,7,5,2]=>[1,6,8,5,3,2,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[2,7,8,5,6,4,1,3]=>[7,2,1,4,3,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[8,6,2,1,5,7,3,4]=>[1,3,7,8,4,2,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[1,6,8,7,3,5,2,4]=>[8,3,1,2,6,4,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[4,1,5,2,8,6,3,7]=>[5,8,4,7,1,3,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[8,4,3,1,7,2,5,6]=>[1,5,6,8,2,7,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,2,8,3,5,1,6,7]=>[5,7,1,6,4,8,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[5,6,1,2,4,3,7,8]=>[4,3,8,7,5,6,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[3,1,2,6,5,4,7,8]=>[6,8,7,3,4,5,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[4,3,6,5,1,2,7,8]=>[5,6,3,4,8,7,2,1]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[8,2,3,7,5,4,6,1]=>[1,7,6,2,4,5,3,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[2,8,3,7,6,4,1,5]=>[7,1,6,2,3,5,8,4]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[1,8,3,7,6,4,2,5]=>[8,1,6,2,3,5,7,4]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[5,8,3,7,6,4,2,1]=>[4,1,6,2,3,5,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[1,3,8,7,6,5,2,4]=>[8,6,1,2,3,4,7,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,2,1,7,5,4,6,3]=>[1,7,8,2,4,5,3,6]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[8,1,2,7,5,4,6,3]=>[1,8,7,2,4,5,3,6]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[4,8,7,2,6,3,1,5]=>[5,1,2,7,3,6,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[1,8,7,2,6,3,5,4]=>[8,1,2,7,3,6,4,5]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[8,7,2,1,4,3,5,6]=>[1,2,7,8,5,6,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,8,7,2,6,3,1,4]=>[4,1,2,7,3,6,8,5]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[2,8,7,1,6,3,4,5]=>[7,1,2,8,3,6,5,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[4,2,8,7,6,5,1,3]=>[5,7,1,2,3,4,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[5,8,7,1,6,3,2,4]=>[4,1,2,8,3,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[6,8,7,5,2,4,3,1]=>[3,1,2,4,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>[2,4,2]
[7,3,6,2,4,5,1,8]=>[2,6,3,7,5,4,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,8,7,2,4,5,1,3]=>[3,1,2,7,5,4,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[6,2,1,8,7,5,3,4]=>[3,7,8,1,2,4,6,5]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,6,5,3,2,8,1,7]=>[5,3,4,6,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,8,3,4,1,5,6,7]=>[7,1,6,5,8,4,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[2,2,4]
[2,6,4,3,5,8,1,7]=>[7,3,5,6,4,1,8,2]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[4,2,1,7,6,5,8,3]=>[5,7,8,2,3,4,1,6]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[1,3,7,5,4,8,6,2]=>[8,6,2,4,5,1,3,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[4,5,6,3,1,8,2,7]=>[5,4,3,6,8,1,7,2]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[5,8,6,3,1,4,2,7]=>[4,1,3,6,8,5,7,2]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[2,6,5,3,8,4,1,7]=>[7,3,4,6,1,5,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,6,5,4,8,3,1,7]=>[7,3,4,5,1,6,8,2]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[5,3,7,1,2,8,4,6]=>[4,6,2,8,7,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[2,7,5,4,8,1,6,3]=>[7,2,4,5,1,8,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[4,8,1,6,7,5,2,3]=>[5,1,8,3,2,4,7,6]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[8,1,4,6,7,5,2,3]=>[1,8,5,3,2,4,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,4,8,1,2,7,5,3]=>[3,5,1,8,7,2,4,6]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[8,4,1,6,7,2,5,3]=>[1,5,8,3,2,7,4,6]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[8,1,4,6,7,2,5,3]=>[1,8,5,3,2,7,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[8,2,6,1,7,4,5,3]=>[1,7,3,8,2,5,4,6]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[4,2,8,6,1,7,5,3]=>[5,7,1,3,8,2,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[4,8,2,1,6,7,5,3]=>[5,1,7,8,3,2,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[8,1,6,2,4,7,5,3]=>[1,8,3,7,5,2,4,6]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[8,6,1,2,4,7,5,3]=>[1,3,8,7,5,2,4,6]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[6,8,2,4,1,7,5,3]=>[3,1,7,5,8,2,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[4,8,2,6,1,7,5,3]=>[5,1,7,3,8,2,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[8,2,6,5,7,1,3,4]=>[1,7,3,4,2,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[5,4,6,7,1,3,8,2]=>[4,5,3,2,8,6,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,4,7,8,3,5,2,6]=>[8,5,2,1,6,4,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[1,7,6,3,5,8,4,2]=>[8,2,3,6,4,1,5,7]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[2,5,1,4,8,3,7,6]=>[7,4,8,5,1,6,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[3,5,1,6,4,8,7,2]=>[6,4,8,3,5,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,6,3,5,1,7,4,8]=>[7,3,6,4,8,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[8,4,1,7,3,5,6,2]=>[1,5,8,2,6,4,3,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,4,1,2,5,7,3,6]=>[1,5,8,7,4,2,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,1,5,3,2,7,4,8]=>[3,8,4,6,7,2,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[5,8,4,6,3,1,7,2]=>[4,1,5,3,6,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[3,8,4,2,1,6,5,7]=>[6,1,5,7,8,3,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[3,4,7,1,2,6,8,5]=>[6,5,2,8,7,3,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[4,1,8,6,5,2,3,7]=>[5,8,1,3,4,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[8,6,3,5,4,7,1,2]=>[1,3,6,4,5,2,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[4,8,6,2,5,1,7,3]=>[5,1,3,7,4,8,2,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[1,7,2,4,5,3,8,6]=>[8,2,7,5,4,6,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[8,5,3,4,6,1,7,2]=>[1,4,6,5,3,8,2,7]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,3,7,2,1,6,5,4]=>[1,6,2,7,8,3,4,5]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[8,4,7,6,2,5,1,3]=>[1,5,2,3,7,4,8,6]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[8,4,7,3,6,2,1,5]=>[1,5,2,6,3,7,8,4]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[3,8,7,5,6,4,1,2]=>[6,1,2,4,3,5,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[3,8,7,5,6,2,1,4]=>[6,1,2,4,3,7,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[4,3,2,5,6,7,8,9,1]=>[6,7,8,5,4,3,2,1,9]=>[[1,2,3,9],[4],[5],[6],[7],[8]]=>[8,1]
[7,6,5,4,3,2,8,9,1]=>[3,4,5,6,7,8,2,1,9]=>[[1,2,3,4,5,6,9],[7],[8]]=>[8,1]
[4,3,2,5,6,7,8,9,10,1]=>[7,8,9,6,5,4,3,2,1,10]=>[[1,2,3,10],[4],[5],[6],[7],[8],[9]]=>[9,1]
[10,8,7,6,5,4,3,1,9,2]=>[1,3,4,5,6,7,8,10,2,9]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[1,5,6,3,8,2,7,4]=>[8,4,3,6,1,7,2,5]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[2,6,3,5,7,8,1,4]=>[7,3,6,4,2,1,8,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[1,7,5,3,6,2,8,4]=>[8,2,4,6,3,7,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[1,4,5,3,7,2,8,6]=>[8,5,4,6,2,7,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[6,5,1,4,2,7,8,3]=>[3,4,8,5,7,2,1,6]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[5,1,6,8,3,7,2,4]=>[4,8,3,1,6,2,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[6,1,3,7,2,4,5,8]=>[3,8,6,2,7,5,4,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[4,1,5,6,8,3,2,7]=>[5,8,4,3,1,6,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[3,8,5,2,1,4,7,6]=>[6,1,4,7,8,5,2,3]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[3,1,5,6,8,4,7,2]=>[6,8,4,3,1,5,2,7]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,8,3,2,1,7,4,6]=>[4,1,6,7,8,2,5,3]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[1,4,8,2,6,5,3,7]=>[8,5,1,7,3,4,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[1,2,8,5,6,4,3,7]=>[8,7,1,4,3,5,6,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[7,5,1,8,3,4,2,6]=>[2,4,8,1,6,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,2,8,1,7,4,3,6]=>[4,7,1,8,2,5,6,3]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[3,6,1,8,2,7,4,5]=>[6,3,8,1,7,2,5,4]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,6,7,3,4,1,8,5]=>[7,3,2,6,5,8,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[1,5,8,6,7,3,4,2]=>[8,4,1,3,2,6,5,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,6,5,8,7,2,4,3]=>[8,3,4,1,2,7,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[1,5,7,6,2,8,3,4]=>[8,4,2,3,7,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[1,7,5,8,6,4,2,3]=>[8,2,4,1,3,5,7,6]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,5,6,8,1,3,7,4]=>[7,4,3,1,8,6,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,5,6,8,2,3,7,1]=>[5,4,3,1,7,6,2,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,5,8,7,1,6,4,3]=>[7,4,1,2,8,3,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[7,3,6,8,5,2,1,4]=>[2,6,3,1,4,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,3,6,7,5,2,4,1]=>[1,6,3,2,4,7,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,4,5,7,3,6,2,1]=>[1,5,4,2,6,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[3,6,8,7,5,2,4,1]=>[6,3,1,2,4,7,5,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[7,8,4,6,5,3,1,2]=>[2,1,5,3,4,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[6,8,4,7,5,1,3,2]=>[3,1,5,2,4,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[2,7,5,4,3,1,6,8]=>[7,2,4,5,6,8,3,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[7,6,3,5,4,1,2,8]=>[2,3,6,4,5,8,7,1]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[2,7,4,6,1,5,3,8]=>[7,2,5,3,8,4,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,7,3,1,6,5,4,8]=>[7,2,6,8,3,4,5,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[1,8,5,7,2,3,6,4]=>[8,1,4,2,7,6,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[2,3,6,8,1,7,5,4]=>[7,6,3,1,8,2,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[6,1,3,8,4,2,5,7]=>[3,8,6,1,5,7,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[8,7,6,4,2,1,5,3]=>[1,2,3,5,7,8,4,6]=>[[1,2,3,4,5,6],[7,8]]=>[7,1]
[3,5,8,1,4,7,2,6]=>[6,4,1,8,5,2,7,3]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[3,8,7,5,2,6,4,1]=>[6,1,2,4,7,3,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[4,6,3,1,8,7,2,5]=>[5,3,6,8,1,2,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[8,3,6,7,1,5,2,4]=>[1,6,3,2,8,4,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,8,3,2,4,7,6,1]=>[4,1,6,7,5,2,3,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[5,8,2,1,3,4,7,6]=>[4,1,7,8,6,5,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[1,3,4,7,2,6,5,8]=>[8,6,5,2,7,3,4,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[2,5,1,4,3,6,7,8]=>[7,4,8,5,6,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[1,5,3,7,2,8,6,4]=>[8,4,6,2,7,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[3,4,7,1,2,8,6,5]=>[6,5,2,8,7,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[5,8,2,1,4,6,3,7]=>[4,1,7,8,5,3,6,2]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[4,1,5,8,3,6,2,7]=>[5,8,4,1,6,3,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,5,8,3,6,1,2,7]=>[5,4,1,6,3,8,7,2]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[6,2,7,8,1,5,3,4]=>[3,7,2,1,8,4,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[7,1,2,3,4,5,8,6,9]=>[3,9,8,7,6,5,2,4,1]=>[[1,2],[3,8],[4],[5],[6],[7],[9]]=>[7,2]
[8,1,4,6,7,2,3,5]=>[1,8,5,3,2,7,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[6,4,1,7,2,8,3,5]=>[3,5,8,2,7,1,6,4]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[6,8,1,2,3,5,7,4]=>[3,1,8,7,6,4,2,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[7,3,8,1,2,5,6,4]=>[2,6,1,8,7,4,3,5]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[7,2,4,5,1,3,8,6]=>[2,7,5,4,8,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,1,2,5,7,6,3,4]=>[1,8,7,4,2,3,6,5]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,8,7,3,1,2,4,5]=>[3,1,2,6,8,7,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,2,3,1,6,7,4,5]=>[1,7,6,8,3,2,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[7,2,3,1,8,5,4,6]=>[2,7,6,8,1,4,5,3]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[6,2,1,7,4,8,3,5]=>[3,7,8,2,5,1,6,4]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[1,7,4,3,2,5,6,8]=>[8,2,5,6,7,4,3,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[1,7,4,3,6,2,5,8]=>[8,2,5,6,3,7,4,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[3,8,4,5,7,2,6,1]=>[6,1,5,4,2,7,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[4,2,8,6,3,7,5,1]=>[5,7,1,3,6,2,4,8]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[3,5,6,8,4,7,1,2]=>[6,4,3,1,5,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[6,2,8,4,5,3,7,1]=>[3,7,1,5,4,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,7,3,8,2,6,5,1]=>[5,2,6,1,7,3,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[6,3,7,1,2,5,8,4]=>[3,6,2,8,7,4,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[5,1,4,7,8,2,6,3]=>[4,8,5,2,1,7,3,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[8,3,6,7,2,4,5,1]=>[1,6,3,2,7,5,4,8]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[3,8,7,5,2,1,6,4]=>[6,1,2,4,7,8,3,5]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[8,4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[4,5,1,3,7,6,8,2]=>[5,4,8,6,2,3,1,7]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[5,1,2,8,7,4,6,3]=>[4,8,7,1,2,5,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[10,1,2,3,4,5,6,8,9,7]=>[1,10,9,8,7,6,5,3,2,4]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[9,1,2,3,4,6,7,8,5]=>[1,9,8,7,6,4,3,2,5]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[4,1,7,5,3,8,6,2]=>[5,8,2,4,6,1,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[7,6,3,5,1,8,4,2]=>[2,3,6,4,8,1,5,7]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[8,1,5,3,4,6,7,2]=>[1,8,4,6,5,3,2,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[8,1,5,3,6,4,7,2]=>[1,8,4,6,3,5,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,5,1,3,7,8,6,2]=>[5,4,8,6,2,1,3,7]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[2,6,4,8,3,1,5,7]=>[7,3,5,1,6,8,4,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[7,2,3,8,1,4,5,6]=>[2,7,6,1,8,5,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[7,2,3,8,1,4,6,5]=>[2,7,6,1,8,5,3,4]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[7,6,5,2,3,8,4,1]=>[2,3,4,7,6,1,5,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[2,6,4,1,5,8,7,3]=>[7,3,5,8,4,1,2,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[3,5,1,4,6,2,7,8]=>[6,4,8,5,3,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[7,6,5,2,4,3,8,1]=>[2,3,4,7,5,6,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>[5,2,1]
[7,6,5,2,4,3,1,8]=>[2,3,4,7,5,6,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>[5,3]
[7,2,3,5,1,4,8,6]=>[2,7,6,4,8,5,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[3,6,4,5,2,8,1,7]=>[6,3,5,4,7,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[7,5,1,8,3,6,2,4]=>[2,4,8,1,6,3,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[8,1,5,6,3,7,2,4]=>[1,8,4,3,6,2,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[8,1,5,6,3,7,4,2]=>[1,8,4,3,6,2,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[3,6,4,5,2,7,8,1]=>[6,3,5,4,7,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[7,2,3,5,1,4,6,8]=>[2,7,6,4,8,5,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[8,1,5,4,7,3,6,2]=>[1,8,4,5,2,6,3,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[3,5,1,4,6,8,7,2]=>[6,4,8,5,3,1,2,7]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[7,6,5,4,1,3,8,2]=>[2,3,4,5,8,6,1,7]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[7,6,5,2,8,3,1,4]=>[2,3,4,7,1,6,8,5]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[7,6,5,4,1,8,2,3]=>[2,3,4,5,8,1,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[3,6,4,1,5,7,2,8]=>[6,3,5,8,4,2,7,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,5,1,4,6,7,8,3]=>[7,4,8,5,3,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[8,1,5,4,7,6,3,2]=>[1,8,4,5,2,3,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[2,5,1,4,6,7,3,8]=>[7,4,8,5,3,2,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[3,6,4,1,5,7,8,2]=>[6,3,5,8,4,2,1,7]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[7,6,5,2,8,4,1,3]=>[2,3,4,7,1,5,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[1,4,3,7,5,2,8,6]=>[8,5,6,2,4,7,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[1,7,2,4,3,5,8,6]=>[8,2,7,5,6,4,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[8,1,7,4,3,5,6,2]=>[1,8,2,5,6,4,3,7]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[2,8,3,1,4,7,5,6]=>[7,1,6,8,5,2,4,3]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[6,4,3,1,8,7,2,5]=>[3,5,6,8,1,2,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,7,3,8,6,4,2,1]=>[4,2,6,1,3,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[8,6,3,2,7,4,1,5]=>[1,3,6,7,2,5,8,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[1,4,2,3,8,6,7,5]=>[8,5,7,6,1,3,2,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[2,7,3,1,8,4,5,6]=>[7,2,6,8,1,5,4,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[6,3,1,8,2,5,7,4]=>[3,6,8,1,7,4,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[1,2,8,3,5,6,4,7]=>[8,7,1,6,4,3,5,2]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[3,5,7,4,8,1,6,2]=>[6,4,2,5,1,8,3,7]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[2,8,1,3,5,4,6,7]=>[7,1,8,6,4,5,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[7,4,8,6,3,1,2,5]=>[2,5,1,3,6,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[8,1,3,5,7,4,2,6]=>[1,8,6,4,2,5,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[3,1,6,4,8,5,2,7]=>[6,8,3,5,1,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[3,2,6,4,1,5,7,8]=>[6,7,3,5,8,4,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[5,4,2,1,8,3,6,7]=>[4,5,7,8,1,6,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[4,2,5,1,8,7,3,6]=>[5,7,4,8,1,2,6,3]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[6,8,2,7,1,4,3,5]=>[3,1,7,2,8,5,6,4]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[5,8,3,1,4,7,6,2]=>[4,1,6,8,5,2,3,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[1,2,5,4,7,8,3,6]=>[8,7,4,5,2,1,6,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[6,8,4,1,3,7,2,5]=>[3,1,5,8,6,2,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[3,2,6,1,7,8,5,4]=>[6,7,3,8,2,1,4,5]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,6,4,1,8,3,5,2]=>[2,3,5,8,1,6,4,7]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[8,5,4,1,6,7,3,2]=>[1,4,5,8,3,2,6,7]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,5,7,3,2,8,4,1]=>[3,4,2,6,7,1,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[6,4,1,2,7,5,3,8]=>[3,5,8,7,2,4,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[7,4,3,5,2,8,6,1]=>[2,5,6,4,7,1,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[5,2,8,3,6,4,7,1]=>[4,7,1,6,3,5,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[5,4,6,1,2,7,3,8]=>[4,5,3,8,7,2,6,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[8,5,4,6,2,1,7,3]=>[1,4,5,3,7,8,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[8,5,1,7,2,3,6,4]=>[1,4,8,2,7,6,3,5]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[5,2,6,4,8,1,3,7]=>[4,7,3,5,1,8,6,2]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[5,2,1,6,4,7,8,3]=>[4,7,8,3,5,2,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[1,6,2,3,5,7,8,4]=>[8,3,7,6,4,2,1,5]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[2,5,1]
[7,2,5,1,3,4,8,6]=>[2,7,4,8,6,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[1,3,4,8,5,2,6,7]=>[8,6,5,1,4,7,3,2]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[4,4]
[8,2,4,6,1,7,3,5]=>[1,7,5,3,8,2,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[6,2,7,5,1,3,4,8]=>[3,7,2,4,8,6,5,1]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[6,5,7,1,2,3,8,4]=>[3,4,2,8,7,6,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[3,2,7,4,1,5,6,8]=>[6,7,2,5,8,4,3,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[4,7,2,1,5,6,8,3]=>[5,2,7,8,4,3,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[7,2,3,5,8,6,1,4]=>[2,7,6,4,1,3,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[5,8,2,3,6,7,1,4]=>[4,1,7,6,3,2,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[1,5,7,2,3,6,8,4]=>[8,4,2,7,6,3,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[8,4,1,7,2,5,3,6]=>[1,5,8,2,7,4,6,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[4,2,7,1,5,3,6,8]=>[5,7,2,8,4,6,3,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[7,3,1,4,2,5,8,6]=>[2,6,8,5,7,4,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[3,2,5,7,8,4,1,6]=>[6,7,4,2,1,5,8,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[3,4,7,8,2,5,1,6]=>[6,5,2,1,7,4,8,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,2,5,3,7,8,1,6]=>[5,7,4,6,2,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,3,5,1,6,2,7,8]=>[5,6,4,8,3,7,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[8,6,3,5,4,1,2,7]=>[1,3,6,4,5,8,7,2]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[8,5,1,7,4,3,6,2]=>[1,4,8,2,5,6,3,7]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[8,5,7,6,2,1,3,4]=>[1,4,2,3,7,8,6,5]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[5,4,8,3,1,7,2,6]=>[4,5,1,6,8,2,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[5,1,4,8,3,2,7,6]=>[4,8,5,1,6,7,2,3]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[4,8,1,7,6,5,2,3]=>[5,1,8,2,3,4,7,6]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[4,3,8,7,2,6,1,5]=>[5,6,1,2,7,3,8,4]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[3,8,7,2,6,4,1,5]=>[6,1,2,7,3,5,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[8,7,6,3,5,4,1,2]=>[1,2,3,6,4,5,8,7]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[2,5,4,8,3,1,7,6]=>[7,4,5,1,6,8,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[5,4,8,2,1,3,7,6]=>[4,5,1,7,8,6,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[3,8,7,2,6,1,5,4]=>[6,1,2,7,3,8,4,5]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[1,8,3,7,6,5,2,4]=>[8,1,6,2,3,4,7,5]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[7,8,1,5,2,3,6,4]=>[2,1,8,4,7,6,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[5,6,1,8,4,2,7,3]=>[4,3,8,1,5,7,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[7,8,6,4,1,5,3,2]=>[2,1,3,5,8,4,6,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[5,4,3,1,7,6,2,8]=>[4,5,6,8,2,3,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,6,1,7,4,2,3,8]=>[4,3,8,2,5,7,6,1]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[7,3,8,6,4,5,2,1]=>[2,6,1,3,5,4,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[2,6,8,3,1,7,4,5]=>[7,3,1,6,8,2,5,4]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[7,5,2,4,8,3,6,1]=>[2,4,7,5,1,6,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[7,6,2,8,4,3,5,1]=>[2,3,7,1,5,6,4,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[7,8,2,6,3,5,4,1]=>[2,1,7,3,6,4,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[5,6,3,1,4,2,7,8]=>[4,3,6,8,5,7,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[3,6,2,7,4,5,1,8]=>[6,3,7,2,5,4,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,3,7,1,6,4,5,8]=>[7,6,2,8,3,5,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[3,6,2,4,7,8,5,1]=>[6,3,7,5,2,1,4,8]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[8,7,5,4,2,6,3,1]=>[1,2,4,5,7,3,6,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[3,7,6,2,5,4,8,1]=>[6,2,3,7,4,5,1,8]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[5,3,6,4,8,7,2,1]=>[4,6,3,5,1,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[7,5,1,2,6,4,8,3]=>[2,4,8,7,3,5,1,6]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[5,8,3,1,2,7,6,4]=>[4,1,6,8,7,2,3,5]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[7,3,4,6,5,8,2,1]=>[2,6,5,3,4,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[6,1,5,7,4,8,2,3]=>[3,8,4,2,5,1,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[8,1,4,3,7,5,2,6]=>[1,8,5,6,2,4,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[7,4,6,1,5,8,2,3]=>[2,5,3,8,4,1,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[4,8,5,1,2,3,6,7]=>[5,1,4,8,7,6,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,6,2,4,5,1,3,7]=>[1,3,7,5,4,8,6,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,5,1,3,4,7,2,6]=>[1,4,8,6,5,2,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[5,8,3,6,4,7,2,1]=>[4,1,6,3,5,2,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[1,5,8,4,6,2,7,3]=>[8,4,1,5,3,7,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[7,4,2,3,6,8,5,1]=>[2,5,7,6,3,1,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,4,8,5,1,2,6,3]=>[2,5,1,4,8,7,3,6]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[6,4,5,7,2,8,3,1]=>[3,5,4,2,7,1,6,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,8,1,3,6,4,5,2]=>[2,1,8,6,3,5,4,7]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[7,2,6,8,4,5,3,1]=>[2,7,3,1,5,4,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[7,3,6,8,5,1,4,2]=>[2,6,3,1,4,8,5,7]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[7,5,8,1,6,2,4,3]=>[2,4,1,8,3,7,5,6]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,7,8,1,6,3,2,4]=>[4,2,1,8,3,6,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[7,2,6,8,5,1,4,3]=>[2,7,3,1,4,8,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[7,8,3,1,6,2,5,4]=>[2,1,6,8,3,7,4,5]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[6,7,8,4,3,1,5,2]=>[3,2,1,5,6,8,4,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[7,8,3,6,4,1,5,2]=>[2,1,6,3,5,8,4,7]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,3,8,1,6,4,5,2]=>[2,6,1,8,3,5,4,7]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[1,7,5,8,2,4,6,3]=>[8,2,4,1,7,5,3,6]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,5,2,8,1,4,6,3]=>[2,4,7,1,8,5,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[3,7,8,2,6,5,1,4]=>[6,2,1,7,3,4,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[3,7,8,2,1,6,4,5]=>[6,2,1,7,8,3,5,4]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[7,8,1,6,3,5,4,2]=>[2,1,8,3,6,4,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[6,7,8,2,5,4,3,1]=>[3,2,1,7,4,5,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[6,7,8,3,1,5,4,2]=>[3,2,1,6,8,4,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[7,8,1,6,2,5,4,3]=>[2,1,8,3,7,4,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[5,6,1,4,3,8,2,7]=>[4,3,8,5,6,1,7,2]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,1,8,3,7,6,5,2]=>[5,8,1,6,2,3,4,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[7,1,6,8,5,4,3,2]=>[2,8,3,1,4,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[8,7,1,6,5,4,2,3]=>[1,2,8,3,4,5,7,6]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[4,6,8,2,5,3,1,7]=>[5,3,1,7,4,6,8,2]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[7,6,8,1,5,3,2,4]=>[2,3,1,8,4,6,7,5]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[4,8,1,2,7,6,5,3]=>[5,1,8,7,2,3,4,6]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,6,1,2,8,5,7,3]=>[5,3,8,7,1,4,2,6]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,7,2,1,8,6,5,4]=>[6,2,7,8,1,3,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,4,7,3,2,6,1,8]=>[4,5,2,6,7,3,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,4,7,3,5,2,1,8]=>[3,5,2,6,4,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[3,6,2,8,1,4,7,5]=>[6,3,7,1,8,5,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[5,7,8,4,2,1,3,6]=>[4,2,1,5,7,8,6,3]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[6,4,8,3,1,2,7,5]=>[3,5,1,6,8,7,2,4]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[6,4,8,3,5,2,1,7]=>[3,5,1,6,4,7,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[3,1,6,5,7,8,2,4]=>[6,8,3,4,2,1,7,5]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[1,6,5,2,7,3,4,8]=>[8,3,4,7,2,6,5,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[2,7,4,3,5,1,6,8]=>[7,2,5,6,4,8,3,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[3,1,6,7,4,2,5,8]=>[6,8,3,2,5,7,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[1,3,7,4,5,2,6,8]=>[8,6,2,5,4,7,3,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[6,2,1,5,7,3,4,8]=>[3,7,8,4,2,6,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[6,2,4,8,3,5,1,7]=>[3,7,5,1,6,4,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,3,5,8,2,6,7,4]=>[8,6,4,1,7,3,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[2,1,8,3,6,5,4,7]=>[7,8,1,6,3,4,5,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[2,8,7,3,6,5,4,1]=>[7,1,2,6,3,4,5,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[6,4,5,8,3,7,1,2]=>[3,5,4,1,6,2,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,4,5,7,8,3,2,6]=>[8,5,4,2,1,6,7,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[1,7,8,4,3,6,2,5]=>[8,2,1,5,6,3,7,4]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[5,7,8,1,4,3,2,6]=>[4,2,1,8,5,6,7,3]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[1,7,8,4,3,2,6,5]=>[8,2,1,5,6,7,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[1,4,7,2,3,6,8,5]=>[8,5,2,7,6,3,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[3,1,2,6,7,8,5,4]=>[6,8,7,3,2,1,4,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[8,5,1,3,2,7,4,6]=>[1,4,8,6,7,2,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,6,3,4,7,8,2,5]=>[8,3,6,5,2,1,7,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[3,1,7,6,5,2,8,4]=>[6,8,2,3,4,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[1,4,7,6,8,3,2,5]=>[8,5,2,3,1,6,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[4,3,1,8,6,2,7,5]=>[5,6,8,1,3,7,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[1,2,8,4,3,7,6,5]=>[8,7,1,5,6,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[7,5,1,8,3,2,6,4]=>[2,4,8,1,6,7,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[5,3,1,8,6,2,4,7]=>[4,6,8,1,3,7,5,2]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[5,1,8,6,3,2,4,7]=>[4,8,1,3,6,7,5,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[5,7,8,1,4,2,6,3]=>[4,2,1,8,5,7,3,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[2,6,3,8,1,7,5,4]=>[7,3,6,1,8,2,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,5,1,8,6,3,7,4]=>[7,4,8,1,3,6,2,5]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[2,8,6,4,1,7,3,5]=>[7,1,3,5,8,2,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[6,5,1,7,2,8,4,3]=>[3,4,8,2,7,1,5,6]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[2,8,1,7,5,3,6,4]=>[7,1,8,2,4,6,3,5]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[4,1,7,8,6,3,5,2]=>[5,8,2,1,3,6,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,8,2,6,3,5,1,7]=>[5,1,7,3,6,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,3,5,7,1,6,2,8]=>[5,6,4,2,8,3,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[4,1,8,5,3,6,2,7]=>[5,8,1,4,6,3,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[6,4,2,5,3,1,7,8]=>[3,5,7,4,6,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,1,5,8,2,7,4,6]=>[6,8,4,1,7,2,5,3]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,4,1,5,3,2,7,8]=>[3,5,8,4,6,7,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,2,1,5,4,3,7,8]=>[3,7,8,4,5,6,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[3,1,8,5,4,6,2,7]=>[6,8,1,4,5,3,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[6,1,8,4,5,3,2,7]=>[3,8,1,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,5,2,7,1,6,3,8]=>[5,4,7,2,8,3,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[4,3,5,7,1,6,8,2]=>[5,6,4,2,8,3,1,7]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[4,1,8,5,3,6,7,2]=>[5,8,1,4,6,3,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[6,3,8,4,5,1,7,2]=>[3,6,1,5,4,8,2,7]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[2,6,1,8,5,7,4,3]=>[7,3,8,1,4,2,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[6,3,8,4,5,2,1,7]=>[3,6,1,5,4,7,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[6,5,8,7,2,3,4,1]=>[3,4,1,2,7,6,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[6,3,8,4,5,2,7,1]=>[3,6,1,5,4,7,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[3,2,6,8,5,4,7,1]=>[6,7,3,1,4,5,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[4,1,8,5,2,6,3,7]=>[5,8,1,4,7,3,6,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[3,1,6,8,5,2,4,7]=>[6,8,3,1,4,7,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[6,5,8,7,4,1,2,3]=>[3,4,1,2,5,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,5,8,7,4,2,1,3]=>[3,4,1,2,5,7,8,6]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[6,5,8,7,2,4,1,3]=>[3,4,1,2,7,5,8,6]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[6,2,8,4,5,7,1,3]=>[3,7,1,5,4,2,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[6,1,8,4,5,7,3,2]=>[3,8,1,5,4,2,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[4,2,7,3,5,8,6,1]=>[5,7,2,6,4,1,3,8]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[3,6,2,4,8,5,7,1]=>[6,3,7,5,1,4,2,8]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[3,5,1,8,4,7,6,2]=>[6,4,8,1,5,2,3,7]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[2,6,8,5,4,3,7,1]=>[7,3,1,4,5,6,2,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[4,6,2,8,3,5,7,1]=>[5,3,7,1,6,4,2,8]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[3,6,1,8,5,7,4,2]=>[6,3,8,1,4,2,5,7]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[4,6,3,8,7,2,5,1]=>[5,3,6,1,2,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[7,1,5,2,3,8,4,6]=>[2,8,4,7,6,1,5,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[5,7,6,3,1,2,8,4]=>[4,2,3,6,8,7,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[8,6,4,3,1,7,5,2]=>[1,3,5,6,8,2,4,7]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[4,8,2,1,7,5,6,3]=>[5,1,7,8,2,4,3,6]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[6,3,8,5,7,2,4,1]=>[3,6,1,4,2,7,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[1,5,4,8,6,2,3,7]=>[8,4,5,1,3,7,6,2]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[8,2,1,7,5,3,6,4]=>[1,7,8,2,4,6,3,5]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[5,1,7,4,2,8,3,6]=>[4,8,2,5,7,1,6,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[5,3,2,8,7,6,1,4]=>[4,6,7,1,2,3,8,5]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[3,2,6,8,1,7,5,4]=>[6,7,3,1,8,2,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[3,5,1,8,7,6,2,4]=>[6,4,8,1,2,3,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[5,6,2,7,8,1,3,4]=>[4,3,7,2,1,8,6,5]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[2,1,3,4,5,6,9,7,8]=>[8,9,7,6,5,4,1,3,2]=>[[1,2],[3,8],[4],[5],[6],[7],[9]]=>[7,2]
[1,2,3,4,5,7,8,6,9]=>[9,8,7,6,5,3,2,4,1]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[7,2]
[3,2,5,1,4,8,6,7]=>[6,7,4,8,5,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[2,1,3,4,5,6,7,10,8,9]=>[9,10,8,7,6,5,4,1,3,2]=>[[1,2],[3,9],[4],[5],[6],[7],[8],[10]]=>[8,2]
[3,2,5,6,8,4,7,1]=>[6,7,4,3,1,5,2,8]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[8,4,5,2,6,3,7,1]=>[1,5,4,7,3,6,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[2,5,6,4,8,3,7,1]=>[7,4,3,5,1,6,2,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,3,2,4,7,8,1,6]=>[4,6,7,5,2,1,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[4,2,5,7,3,8,1,6]=>[5,7,4,2,6,1,8,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,7,3,1,6,8,2,5]=>[5,2,6,8,3,1,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[1,2,5,7,6,3,8,4]=>[8,7,4,2,3,6,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[1,6,5,7,3,2,8,4]=>[8,3,4,2,6,7,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[5,2,6,7,1,3,8,4]=>[4,7,3,2,8,6,1,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[5,6,3,7,1,2,8,4]=>[4,3,6,2,8,7,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[4,7,2,5,6,3,1,8]=>[5,2,7,4,3,6,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,4,1,3,7,8,2,6]=>[4,5,8,6,2,1,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[5,1,3,6,7,8,2,4]=>[4,8,6,3,2,1,7,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[4,1,3,5,7,8,2,6]=>[5,8,6,4,2,1,7,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[1,2,4,7,5,3,8,6]=>[8,7,5,2,4,6,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[6,1,5,8,4,3,2,7]=>[3,8,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[7,2,1,6,8,3,5,4]=>[2,7,8,3,1,6,4,5]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[6,1,3,7,2,4,8,5]=>[3,8,6,2,7,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,5,2,1,7,8,3,6]=>[5,4,7,8,2,1,6,3]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[7,2,5,6,3,4,1,8]=>[2,7,4,3,6,5,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[2,3,7,8,5,1,6,4]=>[7,6,2,1,4,8,3,5]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,1,7,6,2,3,8,5]=>[5,8,2,3,7,6,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[1,2,6,7,4,3,5,8]=>[8,7,3,2,5,6,4,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[3,6,7,4,5,1,8,2]=>[6,3,2,5,4,8,1,7]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[5,8,6,3,4,1,2,7]=>[4,1,3,6,5,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[5,1,2,6,4,8,3,7]=>[4,8,7,3,5,1,6,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[8,6,2,3,7,5,1,4]=>[1,3,7,6,2,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[4,5,2,8,6,1,3,7]=>[5,4,7,1,3,8,6,2]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[3,4,8,2,5,6,1,7]=>[6,5,1,7,4,3,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[2,8,3,6,7,4,5,1]=>[7,1,6,3,2,5,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[2,5,7,8,3,4,6,1]=>[7,4,2,1,6,5,3,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[8,1,3,6,5,4,7,2]=>[1,8,6,3,4,5,2,7]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[8,1,3,2,5,7,4,6]=>[1,8,6,7,4,2,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[6,3,7,8,5,1,4,2]=>[3,6,2,1,4,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[6,8,2,7,5,3,1,4]=>[3,1,7,2,4,6,8,5]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[6,3,2,5,8,4,1,7]=>[3,6,7,4,1,5,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,6,7,2,8,4,1,3]=>[4,3,2,7,1,5,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[3,4,1,7,6,2,8,5]=>[6,5,8,2,3,7,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[6,8,7,1,3,5,2,4]=>[3,1,2,8,6,4,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,8,3,6,4,1,7,2]=>[4,1,6,3,5,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,5,4,6,1,3,8,2]=>[2,4,5,3,8,6,1,7]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[4,3,8,5,2,7,1,6]=>[5,6,1,4,7,2,8,3]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[5,6,8,2,4,3,1,7]=>[4,3,1,7,5,6,8,2]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[7,5,8,3,2,1,4,6]=>[2,4,1,6,7,8,5,3]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[3,6,4,5,7,2,1,8]=>[6,3,5,4,2,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[3,6,7,4,5,2,1,8]=>[6,3,2,5,4,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[4,6,8,5,7,1,3,2]=>[5,3,1,4,2,8,6,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[2,4,7,1,5,8,3,6]=>[7,5,2,8,4,1,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[8,1,4,7,5,3,6,2]=>[1,8,5,2,4,6,3,7]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[3,5,7,1,6,4,8,2]=>[6,4,2,8,3,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[3,6,5,1,7,4,2,8]=>[6,3,4,8,2,5,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,8,4,5,1,6,3,7]=>[7,1,5,4,8,3,6,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[2,6,7,4,1,5,3,8]=>[7,3,2,5,8,4,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[3,2,5,8,4,7,1,6]=>[6,7,4,1,5,2,8,3]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[7,8,6,1,2,5,3,4]=>[2,1,3,8,7,4,6,5]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,8,1,2,3,7,5,4]=>[3,1,8,7,6,2,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[7,3,1,8,4,6,2,5]=>[2,6,8,1,5,3,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[8,6,1,2,3,5,7,4]=>[1,3,8,7,6,4,2,5]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[5,1,7,8,3,2,4,6]=>[4,8,2,1,6,7,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[3,1,7,6,2,8,5,4]=>[6,8,2,3,7,1,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[2,4,5,1,8,7,6,3]=>[7,5,4,8,1,2,3,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[6,8,7,3,1,5,2,4]=>[3,1,2,6,8,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[3,6,8,2,1,4,7,5]=>[6,3,1,7,8,5,2,4]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[6,1,4,2,8,7,3,5]=>[3,8,5,7,1,2,6,4]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[1,7,6,4,5,8,2,3]=>[8,2,3,5,4,1,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[3,7,2,6,8,4,5,1]=>[6,2,7,3,1,5,4,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[6,2,4,5,7,8,3,1]=>[3,7,5,4,2,1,6,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[4,6,5,2,7,8,3,1]=>[5,3,4,7,2,1,6,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[5,1,8,6,4,2,7,3]=>[4,8,1,3,5,7,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[3,7,1,8,2,4,6,5]=>[6,2,8,1,7,5,3,4]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,5,8,1,4,6,3,7]=>[7,4,1,8,5,3,6,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[5,4,7,2,3,8,6,1]=>[4,5,2,7,6,1,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[5,4,6,2,3,1,8,7]=>[4,5,3,7,6,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[6,5,7,8,1,3,4,2]=>[3,4,2,1,8,6,5,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[2,1,7,6,8,4,5,3]=>[7,8,2,3,1,5,4,6]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[6,5,7,8,1,3,2,4]=>[3,4,2,1,8,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[6,4,7,2,8,3,1,5]=>[3,5,2,7,1,6,8,4]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[4,6,3,1,7,5,8,2]=>[5,3,6,8,2,4,1,7]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[5,7,4,3,1,2,8,6]=>[4,2,5,6,8,7,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[4,7,3,6,5,2,8,1]=>[5,2,6,3,4,7,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[2,4,7,3,8,5,1,6]=>[7,5,2,6,1,4,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,4,3,1,7,5,8,6]=>[7,5,6,8,2,4,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,7,3,8,6,5,1,4]=>[7,2,6,1,3,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[2,8,3,1,7,4,5,6]=>[7,1,6,8,2,5,4,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[6,7,5,2,1,4,8,3]=>[3,2,4,7,8,5,1,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[7,8,6,2,1,5,3,4]=>[2,1,3,7,8,4,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,8,6,3,2,5,1,4]=>[2,1,3,6,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[5,8,4,2,6,1,7,3]=>[4,1,5,7,3,8,2,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[6,7,4,8,5,3,1,2]=>[3,2,5,1,4,6,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[1,6,2,5,7,8,3,4]=>[8,3,7,4,2,1,6,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[1,2,6,8,3,4,7,5]=>[8,7,3,1,6,5,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[1,8,2,7,3,5,6,4]=>[8,1,7,2,6,4,3,5]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[1,8,3,2,7,4,6,5]=>[8,1,6,7,2,5,3,4]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[1,2,8,5,3,4,7,6]=>[8,7,1,4,6,5,2,3]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,3,6,5,4,8,2,7]=>[8,6,3,4,5,1,7,2]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[8,4,5,6,2,7,1,3]=>[1,5,4,3,7,2,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[3,8,5,2,6,1,7,4]=>[6,1,4,7,3,8,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[3,6,1,5,2,8,7,4]=>[6,3,8,4,7,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[8,1,2,6,5,3,4,7]=>[1,8,7,3,4,6,5,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[3,7,4,2,5,6,1,8]=>[6,2,5,7,4,3,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[6,7,1,3,4,2,5,8]=>[3,2,8,6,5,7,4,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[6,8,7,1,3,4,2,5]=>[3,1,2,8,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,7,8,6,1,4,2,5]=>[6,2,1,3,8,5,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,6,1,5,2,7,8,4]=>[6,3,8,4,7,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,1,6,8,3,4,2,5]=>[2,8,3,1,6,5,7,4]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,1,2,6,3,5,7,4]=>[1,8,7,3,6,4,2,5]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[6,2,8,4,7,1,3,5]=>[3,7,1,5,2,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[8,3,4,2,5,7,1,6]=>[1,6,5,7,4,2,8,3]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[3,7,8,4,2,5,6,1]=>[6,2,1,5,7,4,3,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[3,6,1,5,2,8,4,7]=>[6,3,8,4,7,1,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[8,7,1,3,4,2,5,6]=>[1,2,8,6,5,7,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[3,6,1,4,2,5,7,8]=>[6,3,8,5,7,4,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[1,4,3,2,5,6,7,8,9]=>[9,6,7,8,5,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8],[9]]=>[2,7]
[6,8,2,7,5,4,1,3]=>[3,1,7,2,4,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[1,8,4,3,7,6,2,5]=>[8,1,5,6,2,3,7,4]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[5,2,8,7,1,4,6,3]=>[4,7,1,2,8,5,3,6]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,2,8,7,1,6,4,5]=>[6,7,1,2,8,3,5,4]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[2,7,8,3,1,6,4,5]=>[7,2,1,6,8,3,5,4]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[3,5,8,7,4,1,6,2]=>[6,4,1,2,5,8,3,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[7,4,6,8,3,5,1,2]=>[2,5,3,1,6,4,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[2,7,8,1,5,4,6,3]=>[7,2,1,8,4,5,3,6]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[5,4,6,8,7,3,1,2]=>[4,5,3,1,2,6,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,5,8,6,7,1,3,2]=>[5,4,1,3,2,8,6,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,7,6,8,2,1,3,4]=>[4,2,3,1,7,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[6,1,3,4,8,5,7,2]=>[3,8,6,5,1,4,2,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[5,7,3,4,2,1,6,8]=>[4,2,6,5,7,8,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[6,1,5,3,8,4,7,2]=>[3,8,4,6,1,5,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,1,8,6,7,2,5,3]=>[5,8,1,3,2,7,4,6]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[4,1,7,2,8,6,3,5]=>[5,8,2,7,1,3,6,4]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[7,1,3,4,8,6,2,5]=>[2,8,6,5,1,3,7,4]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[8,3,1,2,5,6,4,7]=>[1,6,8,7,4,3,5,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[5,3,4,1,6,7,2,8]=>[4,6,5,8,3,2,7,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[5,2,1,6,4,3,8,7]=>[4,7,8,3,5,6,1,2]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[5,2,8,3,4,7,1,6]=>[4,7,1,6,5,2,8,3]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[3,8,4,1,7,5,2,6]=>[6,1,5,8,2,4,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[4,7,6,5,1,2,3,8]=>[5,2,3,4,8,7,6,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,4,5,2,8,1,3,7]=>[3,5,4,7,1,8,6,2]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[4,8,6,5,2,1,7,3]=>[5,1,3,4,7,8,2,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[5,6,4,8,7,2,3,1]=>[4,3,5,1,2,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[1,6,8,2,5,7,3,4]=>[8,3,1,7,4,2,6,5]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[8,5,2,3,7,6,1,4]=>[1,4,7,6,2,3,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,3,4,5,6,1,7,2]=>[1,6,5,4,3,8,2,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[4,2,6,5,7,3,1,8]=>[5,7,3,4,2,6,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[3,2,6,5,8,4,1,7]=>[6,7,3,4,1,5,8,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[4,2,6,5,8,7,1,3]=>[5,7,3,4,1,2,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[5,2,6,4,8,7,1,3]=>[4,7,3,5,1,2,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[5,4,7,6,8,2,1,3]=>[4,5,2,3,1,7,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,2,7,5,8,6,1,3]=>[5,7,2,4,1,3,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[4,3,7,2,8,5,1,6]=>[5,6,2,7,1,4,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[4,3,6,2,8,5,1,7]=>[5,6,3,7,1,4,8,2]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[5,3,7,2,8,6,1,4]=>[4,6,2,7,1,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[3,2,6,4,8,7,1,5]=>[6,7,3,5,1,2,8,4]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[4,2,7,3,8,6,1,5]=>[5,7,2,6,1,3,8,4]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[5,2,7,6,8,3,1,4]=>[4,7,2,3,1,6,8,5]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[3,2,7,6,8,4,1,5]=>[6,7,2,3,1,5,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[3,7,8,2,5,4,6,1]=>[6,2,1,7,4,5,3,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[6,7,1,3,2,5,8,4]=>[3,2,8,6,7,4,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[8,7,6,4,1,5,3,2]=>[1,2,3,5,8,4,6,7]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[7,2,5,3,4,8,1,6]=>[2,7,4,6,5,1,8,3]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[7,4,8,3,5,1,6,2]=>[2,5,1,6,4,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,4,6,8,7,1,2,3]=>[4,5,3,1,2,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[5,3,6,2,4,1,8,7]=>[4,6,3,7,5,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[5,8,2,6,3,7,4,1]=>[4,1,7,3,6,2,5,8]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[3,8,5,7,6,4,2,1]=>[6,1,4,2,3,5,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[7,8,6,3,5,4,2,1]=>[2,1,3,6,4,5,7,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[4,8,3,7,5,6,2,1]=>[5,1,6,2,4,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[8,2,5,6,3,7,4,1]=>[1,7,4,3,6,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,5,3,7,1,2,6,8]=>[5,4,6,2,8,7,3,1]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[6,4,7,3,1,2,5,8]=>[3,5,2,6,8,7,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[6,8,4,1,3,5,2,7]=>[3,1,5,8,6,4,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,5,3,6,1,4,2,7]=>[1,4,6,3,8,5,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[5,2,6,7,4,1,3,8]=>[4,7,3,2,5,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[5,6,2,7,4,1,3,8]=>[4,3,7,2,5,8,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[8,5,6,4,1,3,2,7]=>[1,4,3,5,8,6,7,2]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[7,8,5,1,4,3,2,6]=>[2,1,4,8,5,6,7,3]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[4,7,8,3,1,5,2,6]=>[5,2,1,6,8,4,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[4,7,8,1,6,3,2,5]=>[5,2,1,8,3,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[5,7,8,1,2,6,4,3]=>[4,2,1,8,7,3,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[4,7,1,3,8,6,5,2]=>[5,2,8,6,1,3,4,7]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[2,6,7,4,3,8,1,5]=>[7,3,2,5,6,1,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,7,6,4,5,8,1,2]=>[6,2,3,5,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[3,7,6,5,4,8,1,2]=>[6,2,3,4,5,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[3,7,2,8,5,6,4,1]=>[6,2,7,1,4,3,5,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[3,1,5,8,4,7,6,2]=>[6,8,4,1,5,2,3,7]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[4,7,2,8,5,3,6,1]=>[5,2,7,1,4,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[2,3,8,6,4,7,5,1]=>[7,6,1,3,5,2,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[2,5,6,1,8,7,3,4]=>[7,4,3,8,1,2,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[3,5,2,8,7,4,6,1]=>[6,4,7,1,2,5,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[1,5,6,8,7,3,4,2]=>[8,4,3,1,2,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[2,3,8,7,6,4,5,1]=>[7,6,1,2,3,5,4,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[8,5,6,3,1,4,2,7]=>[1,4,3,6,8,5,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,5,6,1,3,4,2,7]=>[1,4,3,8,6,5,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[8,1,5,6,3,4,2,7]=>[1,8,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,1,5,3,6,4,2,7]=>[1,8,4,6,3,5,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[8,3,5,6,4,1,2,7]=>[1,6,4,3,5,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[1,3,8,5,6,2,4,7]=>[8,6,1,4,3,7,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[3,8,5,6,1,4,2,7]=>[6,1,4,3,8,5,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[3,8,5,6,4,1,2,7]=>[6,1,4,3,5,8,7,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[5,7,8,3,4,6,2,1]=>[4,2,1,6,5,3,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[3,5,8,6,4,1,2,7]=>[6,4,1,3,5,8,7,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,5,1,8,6,4,2,7]=>[6,4,8,1,3,5,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[1,3,5,8,6,2,4,7]=>[8,6,4,1,3,7,5,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[7,5,3,8,6,4,2,1]=>[2,4,6,1,3,5,7,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[1,5,3,8,6,4,2,7]=>[8,4,6,1,3,5,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[5,1,3,8,6,4,2,7]=>[4,8,6,1,3,5,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[5,3,8,1,6,4,2,7]=>[4,6,1,8,3,5,7,2]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[5,3,8,6,4,1,2,7]=>[4,6,1,3,5,8,7,2]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[5,8,3,1,6,4,2,7]=>[4,1,6,8,3,5,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[5,8,1,3,6,4,2,7]=>[4,1,8,6,3,5,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,1,8,3,6,4,2,7]=>[4,8,1,6,3,5,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[1,5,8,3,6,4,2,7]=>[8,4,1,6,3,5,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[7,5,8,3,6,4,2,1]=>[2,4,1,6,3,5,7,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[1,5,8,6,3,4,2,7]=>[8,4,1,3,6,5,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,7,8,2,5,6,4,3]=>[8,2,1,7,4,3,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,1,8,3,6,4,2,5]=>[2,8,1,6,3,5,7,4]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[7,8,3,6,4,1,2,5]=>[2,1,6,3,5,8,7,4]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,1,3,8,6,4,2,5]=>[2,8,6,1,3,5,7,4]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,7,5,8,2,6,4,1]=>[6,2,4,1,7,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,1,7,8,4,2,6,5]=>[6,8,2,1,5,7,3,4]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[1,3,7,8,4,2,6,5]=>[8,6,2,1,5,7,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[6,1,2,5,3,4,7,8]=>[3,8,7,4,6,5,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[6,1,2,5,4,3,7,8]=>[3,8,7,4,5,6,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[5,1,4,6,7,3,2,8]=>[4,8,5,3,2,6,7,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[1,4,6,5,7,2,3,8]=>[8,5,3,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[8,1,6,7,3,5,4,2]=>[1,8,3,2,6,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[4,2,6,5,7,1,3,8]=>[5,7,3,4,2,8,6,1]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[6,2,5,7,3,1,4,8]=>[3,7,4,2,6,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,2,5,4,1,6,7,3]=>[1,7,4,5,8,3,2,6]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[2,8,5,1,3,6,7,4]=>[7,1,4,8,6,3,2,5]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[8,7,3,5,2,6,4,1]=>[1,2,6,4,7,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[3,8,5,6,1,2,7,4]=>[6,1,4,3,8,7,2,5]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[2,3,4,5,6,9,8,7,1]=>[8,7,6,5,4,1,2,3,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,3]
[2,3,4,5,8,7,9,6,1]=>[8,7,6,5,2,3,1,4,9]=>[[1,6,8,9],[2],[3],[4],[5],[7]]=>[5,2,2]
[4,3,5,6,7,8,9,2,1]=>[6,7,5,4,3,2,1,8,9]=>[[1,2,8,9],[3],[4],[5],[6],[7]]=>[7,2]
[6,7,4,3,8,2,1,5]=>[3,2,5,6,1,7,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[8,4,5,1,3,7,6,2]=>[1,5,4,8,6,2,3,7]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[8,6,4,3,7,1,5,2]=>[1,3,5,6,2,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[8,3,1,6,7,4,5,2]=>[1,6,8,3,2,5,4,7]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[6,8,5,7,3,2,4,1]=>[3,1,4,2,6,7,5,8]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[6,8,7,5,4,2,3,1]=>[3,1,2,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[7,1,3,2,4,6,5,8]=>[2,8,6,7,5,3,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[7,2,3,5,1,6,8,4]=>[2,7,6,4,8,3,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[7,2,3,1,4,6,8,5]=>[2,7,6,8,5,3,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[6,5,2,1,4,8,3,7]=>[3,4,7,8,5,1,6,2]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[2,7,3,1,4,8,6,5]=>[7,2,6,8,5,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[4,3,1,5,8,7,6,2]=>[5,6,8,4,1,2,3,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[3,7,2,5,1,6,8,4]=>[6,2,7,4,8,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[4,1,6,7,3,2,8,5]=>[5,8,3,2,6,7,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[1,7,2,5,6,8,4,3]=>[8,2,7,4,3,1,5,6]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[3,2,1,5,8,4,7,6]=>[6,7,8,4,1,5,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[2,1,6,5,8,4,3,7]=>[7,8,3,4,1,5,6,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[5,4,8,6,1,7,3,2]=>[4,5,1,3,8,2,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[3,6,4,5,7,1,8,2]=>[6,3,5,4,2,8,1,7]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[3,8,2,4,5,7,1,6]=>[6,1,7,5,4,2,8,3]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[6,3,2,4,1,8,5,7]=>[3,6,7,5,8,1,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,1,3,6,4,5,2,8]=>[2,8,6,3,5,4,7,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[6,4,5,1,3,8,2,7]=>[3,5,4,8,6,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[7,3,6,4,5,1,2,8]=>[2,6,3,5,4,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[2,1,8,7,3,6,5,4]=>[7,8,1,2,6,3,4,5]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[2,6,5,4,1,3,7,8]=>[7,3,4,5,8,6,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[4,1,5,7,6,3,2,8]=>[5,8,4,2,3,6,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,5,1,7,6,3,2,8]=>[5,4,8,2,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[7,3,6,1,4,5,2,8]=>[2,6,3,8,5,4,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,2,1,5,4,3,8,7]=>[3,7,8,4,5,6,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[1,7,2,6,8,4,5,3]=>[8,2,7,3,1,5,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,4,6,5,7,2,8,3]=>[8,5,3,4,2,7,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[6,4,2,7,8,3,5,1]=>[3,5,7,2,1,6,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[1,8,6,2,4,3,5,7]=>[8,1,3,7,5,6,4,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[7,4,2,5,3,8,6,1]=>[2,5,7,4,6,1,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[3,2,4,5,7,8,1,6]=>[6,7,5,4,2,1,8,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[8,1,3,2,7,4,5,6]=>[1,8,6,7,2,5,4,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[7,8,5,4,2,1,6,3]=>[2,1,4,5,7,8,3,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[8,5,2,6,4,1,7,3]=>[1,4,7,3,5,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[5,1,8,6,4,3,7,2]=>[4,8,1,3,5,6,2,7]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[8,6,7,2,5,3,1,4]=>[1,3,2,7,4,6,8,5]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[1,6,2,7,8,4,5,3]=>[8,3,7,2,1,5,4,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[8,6,2,7,5,4,1,3]=>[1,3,7,2,4,5,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[7,6,3,2,8,1,5,4]=>[2,3,6,7,1,8,4,5]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[5,7,3,1,2,8,6,4]=>[4,2,6,8,7,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[5,1,7,4,3,8,6,2]=>[4,8,2,5,6,1,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[1,5,3,7,4,2,6,8]=>[8,4,6,2,5,7,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,7,6,4,3,2,8,5]=>[8,2,3,5,6,7,1,4]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,7,6,4,3,2,5,8]=>[8,2,3,5,6,7,4,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[7,4,3,6,2,5,1,8]=>[2,5,6,3,7,4,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[1,2,7,4,3,8,6,5]=>[8,7,2,5,6,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,7,6,3,5,2,4,8]=>[8,2,3,6,4,7,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[1,5,3,2,4,6,7,8]=>[8,4,6,7,5,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[1,5,3,7,6,2,4,8]=>[8,4,6,2,3,7,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[1,2,7,5,3,6,8,4]=>[8,7,2,4,6,3,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[8,1,3,2,6,5,7,4]=>[1,8,6,7,3,4,2,5]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,3,7,2,8,1,6,5]=>[5,6,2,7,1,8,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[3,2,7,5,6,1,8,4]=>[6,7,2,4,3,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,5,6,1,3,2,8,4]=>[2,4,3,8,6,7,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,3,4,1,8,2,6,5]=>[2,6,5,8,1,7,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[7,4,5,1,6,3,8,2]=>[2,5,4,8,3,6,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,5,6,1,4,3,8,2]=>[2,4,3,8,5,6,1,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[4,2,7,6,8,3,5,1]=>[5,7,2,3,1,6,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[3,2,6,4,8,5,7,1]=>[6,7,3,5,1,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[4,2,8,3,6,5,7,1]=>[5,7,1,6,3,4,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[8,1,4,3,5,2,7,6]=>[1,8,5,6,4,7,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,2,8,5,7,1,4,3]=>[3,7,1,4,2,8,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[6,4,8,5,7,1,3,2]=>[3,5,1,4,2,8,6,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,3,4,1,6,2,8,7]=>[4,6,5,8,3,7,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[6,5,7,3,4,1,8,2]=>[3,4,2,6,5,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[5,2,7,6,8,1,4,3]=>[4,7,2,3,1,8,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,5,6,1,8,2,4,3]=>[2,4,3,8,1,7,5,6]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[7,3,6,1,8,2,5,4]=>[2,6,3,8,1,7,4,5]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[7,2,8,1,6,3,5,4]=>[2,7,1,8,3,6,4,5]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[10,7,9,6,8,4,5,2,3,1]=>[1,4,2,5,3,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,2,2,2,1]
[6,4,7,1,2,8,3,5]=>[3,5,2,8,7,1,6,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[3,7,4,8,2,5,6,1]=>[6,2,5,1,7,4,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[8,4,1,2,3,6,5,7]=>[1,5,8,7,6,3,4,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,3,6,5,4,1,2,7]=>[1,6,3,4,5,8,7,2]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[2,7,8,5,4,3,6,1]=>[7,2,1,4,5,6,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[1,2,5,7,4,8,3,6]=>[8,7,4,2,5,1,6,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[4,3,7,5,8,1,2,6]=>[5,6,2,4,1,8,7,3]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[8,3,6,7,4,5,2,1]=>[1,6,3,2,5,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[6,5,8,3,2,7,4,1]=>[3,4,1,6,7,2,5,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[7,1,4,2,3,8,6,5]=>[2,8,5,7,6,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[2,3,5,4,8,1,7,6]=>[7,6,4,5,1,8,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[1,7,2,6,5,3,8,4]=>[8,2,7,3,4,6,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,2,6,7,1,8,5,3]=>[5,7,3,2,8,1,4,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[2,7,1,6,3,8,5,4]=>[7,2,8,3,6,1,4,5]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[8,1,2,5,3,7,6,4]=>[1,8,7,4,6,2,3,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[8,6,5,2,4,1,7,3]=>[1,3,4,7,5,8,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[7,8,5,1,2,4,6,3]=>[2,1,4,8,7,5,3,6]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[8,6,7,5,1,3,4,2]=>[1,3,2,4,8,6,5,7]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[6,2,5,8,1,7,4,3]=>[3,7,4,1,8,2,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[6,7,5,2,4,3,1,8]=>[3,2,4,7,5,6,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[4,3,8,6,7,5,2,1]=>[5,6,1,3,2,4,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[3,6,5,2,4,1,7,8]=>[6,3,4,7,5,8,2,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[3,7,1,6,2,5,8,4]=>[6,2,8,3,7,4,1,5]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[3,8,4,1,6,2,5,7]=>[6,1,5,8,3,7,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[7,5,2,4,3,1,8,6]=>[2,4,7,5,6,8,1,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[3,7,4,1,6,2,5,8]=>[6,2,5,8,3,7,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[3,6,2,5,1,8,7,4]=>[6,3,7,4,8,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[3,6,2,5,1,7,4,8]=>[6,3,7,4,8,2,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[7,6,1,8,5,2,4,3]=>[2,3,8,1,4,7,5,6]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[4,6,7,2,5,1,8,3]=>[5,3,2,7,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[3,6,2,5,1,7,8,4]=>[6,3,7,4,8,2,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[3,4,2,7,8,1,5,6]=>[6,5,7,2,1,8,4,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[3,4,2,6,1,5,7,8]=>[6,5,7,3,8,4,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[3,6,2,5,1,8,4,7]=>[6,3,7,4,8,1,5,2]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[8,3,4,7,2,5,1,6]=>[1,6,5,2,7,4,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[3,4,2,7,1,5,8,6]=>[6,5,7,2,8,4,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[7,3,4,6,5,8,1,2]=>[2,6,5,3,4,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,3,6,8,1,4,5,2]=>[2,6,3,1,8,5,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[6,3,4,1,7,5,2,8]=>[3,6,5,8,2,4,7,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[3,4,6,7,2,1,8,5]=>[6,5,3,2,7,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[5,7,1,8,6,4,3,2]=>[4,2,8,1,3,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[5,1,8,6,7,2,4,3]=>[4,8,1,3,2,7,5,6]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[6,1,8,5,2,4,7,3]=>[3,8,1,4,7,5,2,6]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[7,1,4,2,5,8,6,3]=>[2,8,5,7,4,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[7,8,5,1,2,4,3,6]=>[2,1,4,8,7,5,6,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,5,3,1,4,8,6,7]=>[7,4,6,8,5,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[3,6,1,2,5,4,8,7]=>[6,3,8,7,4,5,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[5,8,1,4,3,6,7,2]=>[4,1,8,5,6,3,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[7,2,3,8,6,4,1,5]=>[2,7,6,1,3,5,8,4]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[5,2,3,8,7,4,1,6]=>[4,7,6,1,2,5,8,3]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[6,5,8,2,1,4,3,7]=>[3,4,1,7,8,5,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[5,7,6,3,1,2,4,8]=>[4,2,3,6,8,7,5,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[1,4,3,7,2,6,8,5]=>[8,5,6,2,7,3,1,4]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[5,8,6,3,2,4,1,7]=>[4,1,3,6,7,5,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[4,6,2,7,8,1,3,5]=>[5,3,7,2,1,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[4,6,7,8,2,1,3,5]=>[5,3,2,1,7,8,6,4]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[8,6,3,2,1,7,5,4]=>[1,3,6,7,8,2,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[8,6,4,2,9,7,5,3,1]=>[2,4,6,8,1,3,5,7,9]=>[[1,2,3,4,9],[5,6,7,8]]=>[5,4]
[7,8,9,5,3,1,10,6,4,2]=>[4,3,2,6,8,10,1,5,7,9]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>[3,4,3]
[7,3,8,4,9,5,1,10,6,2]=>[4,8,3,7,2,6,10,1,5,9]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>[3,2,3,2]
[5,6,7,8,9,3,1,10,4,2]=>[6,5,4,3,2,8,10,1,7,9]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>[5,3,2]
[5,6,7,1,8,2,9,3,10,4]=>[6,5,4,10,3,9,2,8,1,7]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[3,2,2,2,1]
[6,1,3,4,2,5,8,7]=>[3,8,6,5,7,4,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[5,1,3,6,2,4,8,7]=>[4,8,6,3,7,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,6,3,4,2,1,7,5]=>[1,3,6,5,7,8,2,4]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[2,6,1,4,3,7,8,5]=>[7,3,8,5,6,2,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[3,8,5,7,6,4,1,2]=>[6,1,4,2,3,5,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[1,8,5,7,6,3,4,2]=>[8,1,4,2,3,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[5,8,1,7,6,3,4,2]=>[4,1,8,2,3,6,5,7]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[1,7,6,3,8,5,4,2]=>[8,2,3,6,1,4,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[5,3,7,6,1,8,4,2]=>[4,6,2,3,8,1,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[5,1,7,6,3,8,4,2]=>[4,8,2,3,6,1,5,7]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[1,5,6,3,7,8,4,2]=>[8,4,3,6,2,1,5,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[1,5,7,6,3,8,4,2]=>[8,4,2,3,6,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[7,3,5,6,1,8,4,2]=>[2,6,4,3,8,1,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,3,6,1,5,8,4,2]=>[2,6,3,8,4,1,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[1,6,3,7,8,5,4,2]=>[8,3,6,2,1,4,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,7,8,6,3,5,4,2]=>[8,2,1,3,6,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[3,6,1,7,5,8,4,2]=>[6,3,8,2,4,1,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[3,7,5,6,1,8,4,2]=>[6,2,4,3,8,1,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[7,2,1,8,5,4,3,6]=>[2,7,8,1,4,5,6,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[5,6,2,8,4,7,3,1]=>[4,3,7,1,5,2,6,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[5,6,8,2,3,7,4,1]=>[4,3,1,7,6,2,5,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[8,4,5,7,1,2,6,3]=>[1,5,4,2,8,7,3,6]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[5,6,8,1,7,3,4,2]=>[4,3,1,8,2,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[8,3,1,5,7,4,6,2]=>[1,6,8,4,2,5,3,7]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[1,4,5,7,8,6,2,3]=>[8,5,4,2,1,3,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[2,4,5,8,6,7,3,1]=>[7,5,4,1,3,2,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[5,3,7,4,6,1,2,8]=>[4,6,2,5,3,8,7,1]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[7,8,3,5,4,1,2,6]=>[2,1,6,4,5,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,3,5,4,1,2,6,8]=>[2,6,4,5,8,7,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,7,6,3,4,1,2,8]=>[4,2,3,6,5,8,7,1]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[5,3,4,1,2,7,6,8]=>[4,6,5,8,7,2,3,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[7,8,5,1,3,2,4,6]=>[2,1,4,8,6,7,5,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,8,5,1,3,6,2,4]=>[2,1,4,8,6,3,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[7,1,3,8,2,5,4,6]=>[2,8,6,1,7,4,5,3]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[7,5,8,6,1,3,2,4]=>[2,4,1,3,8,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,7,5,4,8,6,1,2]=>[6,2,4,5,1,3,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[7,1,6,8,2,3,5,4]=>[2,8,3,1,7,6,4,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,6,3,7,2,4,5,8]=>[8,3,6,2,7,5,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[1,7,3,4,5,2,6,8]=>[8,2,6,5,4,7,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[2,3,3]
[4,7,8,5,1,3,2,6]=>[5,2,1,4,8,6,7,3]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,2,1,8,7,5,3,6]=>[5,7,8,1,2,4,6,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[8,2,5,1,7,4,6,3]=>[1,7,4,8,2,5,3,6]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[5,1,4,8,2,3,6,7]=>[4,8,5,1,7,6,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[5,3,2,4,8,1,7,6]=>[4,6,7,5,1,8,2,3]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,2,5,7,4,1,6,3]=>[1,7,4,2,5,8,3,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[4,2,8,5,3,1,6,7]=>[5,7,1,4,6,8,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[6,8,5,3,2,7,1,4]=>[3,1,4,6,7,2,8,5]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[8,3,7,2,6,5,1,4]=>[1,6,2,7,3,4,8,5]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[4,6,2,7,1,3,8,5]=>[5,3,7,2,8,6,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[7,2,5,3,6,1,8,4]=>[2,7,4,6,3,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[8,2,4,5,6,7,1,3]=>[1,7,5,4,3,2,8,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[3,4,6,5,1,7,2,8]=>[6,5,3,4,8,2,7,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[4,5,1,8,7,3,2,6]=>[5,4,8,1,2,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[5,1,4,7,3,2,6,8]=>[4,8,5,2,6,7,3,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[5,1,4,8,7,3,2,6]=>[4,8,5,1,2,6,7,3]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[3,8,2,6,7,1,5,4]=>[6,1,7,3,2,8,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[8,3,2,6,7,1,5,4]=>[1,6,7,3,2,8,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[2,1,4,3,6,5,9,7,8]=>[8,9,6,7,4,5,1,3,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>[3,2,2,2]
[2,1,4,3,7,5,9,6,8]=>[8,9,6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>[3,2,2,2]
[2,1,5,3,7,4,9,6,8]=>[8,9,5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>[3,2,2,2]
[6,1,3,4,8,2,7,5]=>[3,8,6,5,1,7,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[8,4,2,7,3,5,1,6]=>[1,5,7,2,6,4,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,5,2,7,3,4,1,6]=>[1,4,7,2,6,5,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[3,1,7,4,2,6,8,5]=>[6,8,2,5,7,3,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[8,4,5,2,7,3,1,6]=>[1,5,4,7,2,6,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[8,1,7,3,2,5,6,4]=>[1,8,2,6,7,4,3,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[3,4,7,6,2,8,1,5]=>[6,5,2,3,7,1,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[3,8,5,1,4,6,7,2]=>[6,1,4,8,5,3,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[3,1,6,8,4,2,7,5]=>[6,8,3,1,5,7,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[8,4,5,1,3,6,7,2]=>[1,5,4,8,6,3,2,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[1,4,8,5,3,6,7,2]=>[8,5,1,4,6,3,2,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[4,5,1,2,7,8,6,3]=>[5,4,8,7,2,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,8,5,1,2,6,7,3]=>[5,1,4,8,7,3,2,6]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[7,2,8,1,4,5,3,6]=>[2,7,1,8,5,4,6,3]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[6,1,4,7,3,8,2,5]=>[3,8,5,2,6,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[3,8,4,1,7,2,5,6]=>[6,1,5,8,2,7,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[6,7,5,1,3,8,2,4]=>[3,2,4,8,6,1,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[8,5,1,3,6,7,2,4]=>[1,4,8,6,3,2,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,2,4,1,3,6,7,5]=>[1,7,5,8,6,3,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,1,3,6,2,5,7,4]=>[1,8,6,3,7,4,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,5,6,3,8,4,7,2]=>[8,4,3,6,1,5,2,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,6,1,3,7,2,8,4]=>[4,3,8,6,2,7,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[3,7,8,6,4,1,2,5]=>[6,2,1,3,5,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[5,7,8,3,6,4,2,1]=>[4,2,1,6,3,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,7,8,1,6,4,2,3]=>[4,2,1,8,3,5,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[3,7,8,1,6,4,2,5]=>[6,2,1,8,3,5,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[1,7,8,6,3,4,2,5]=>[8,2,1,3,6,5,7,4]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[3,7,5,8,6,4,2,1]=>[6,2,4,1,3,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[1,7,3,8,6,4,2,5]=>[8,2,6,1,3,5,7,4]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[5,7,1,8,6,4,2,3]=>[4,2,8,1,3,5,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[7,8,1,5,6,4,2,3]=>[2,1,8,4,3,5,7,6]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,8,3,5,6,4,2,1]=>[2,1,6,4,3,5,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,1,8,5,6,4,2,3]=>[2,8,1,4,3,5,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[7,1,5,8,6,4,2,3]=>[2,8,4,1,3,5,7,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[7,3,5,8,6,4,2,1]=>[2,6,4,1,3,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[5,3,7,8,6,4,2,1]=>[4,6,2,1,3,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,1,8,5,6,4,2,7]=>[6,8,1,4,3,5,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[8,3,1,5,6,4,2,7]=>[1,6,8,4,3,5,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[8,1,3,5,6,4,2,7]=>[1,8,6,4,3,5,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[1,8,3,5,6,4,2,7]=>[8,1,6,4,3,5,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[1,3,8,5,6,4,2,7]=>[8,6,1,4,3,5,7,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[1,3,5,8,6,4,2,7]=>[8,6,4,1,3,5,7,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[1,5,7,8,6,4,2,3]=>[8,4,2,1,3,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,1,5,4,7,6,9,8,10,3]=>[9,10,6,7,4,5,2,3,1,8]=>[[1,2,10],[3,4],[5,6],[7,8],[9]]=>[3,2,2,2,1]
[8,5,1,6,2,3,4,7]=>[1,4,8,3,7,6,5,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[6,8,1,2,3,7,4,5]=>[3,1,8,7,6,2,5,4]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[8,1,5,4,2,3,7,6]=>[1,8,4,5,7,6,2,3]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[8,1,3,5,6,7,2,4]=>[1,8,6,4,3,2,7,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[3,7,6,2,5,8,4,1]=>[6,2,3,7,4,1,5,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[5,2,7,3,4,8,1,6]=>[4,7,2,6,5,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[2,5,8,3,6,4,1,7]=>[7,4,1,6,3,5,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[7,4,2,1,5,3,8,6]=>[2,5,7,8,4,6,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[3,6,8,7,1,2,4,5]=>[6,3,1,2,8,7,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[4,2,1,6,5,7,8,3]=>[5,7,8,3,4,2,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[4,3,1,5,6,7,2,8]=>[5,6,8,4,3,2,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[2,7,5,4,1,3,6,8]=>[7,2,4,5,8,6,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[2,7,4,6,5,1,8,3]=>[7,2,5,3,4,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[6,8,7,5,2,1,4,3]=>[3,1,2,4,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[7,8,2,6,3,1,4,5]=>[2,1,7,3,6,8,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,8,6,3,5,1,4,7]=>[7,1,3,6,4,8,5,2]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[7,2,6,3,1,4,5,8]=>[2,7,3,6,8,5,4,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[1,2,8,6,4,5,3,7]=>[8,7,1,3,5,4,6,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[1,4,6,8,5,3,2,7]=>[8,5,3,1,4,6,7,2]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,4,7,8,5,6,3,2]=>[8,5,2,1,4,3,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[1,8,6,7,2,3,5,4]=>[8,1,3,2,7,6,4,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[1,6,8,5,2,7,3,4]=>[8,3,1,4,7,2,6,5]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[1,6,8,5,4,2,3,7]=>[8,3,1,4,5,7,6,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[1,7,4,5,8,6,2,3]=>[8,2,5,4,1,3,7,6]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[1,3,6,7,2,8,5,4]=>[8,6,3,2,7,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,3,8,5,2,4,7,6]=>[8,6,1,4,7,5,2,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[5,4,2,3,6,8,1,7]=>[4,5,7,6,3,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,3,2,1,8,6,4,5]=>[2,6,7,8,1,3,5,4]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[8,7,2,4,1,3,6,5]=>[1,2,7,5,8,6,3,4]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[8,2,6,3,5,7,1,4]=>[1,7,3,6,4,2,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[1,8,3,7,4,6,5,2]=>[8,1,6,2,5,3,4,7]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[8,2,3,1,7,4,5,6]=>[1,7,6,8,2,5,4,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[4,8,1,2,6,5,7,3]=>[5,1,8,7,3,4,2,6]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[5,6,1,8,3,7,2,4]=>[4,3,8,1,6,2,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[1,8,5,2,3,4,7,6]=>[8,1,4,7,6,5,2,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[1,2,7,8,4,5,6,3]=>[8,7,2,1,5,4,3,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[1,2,3,4,5,6,9,7,10,8]=>[10,9,8,7,6,5,2,4,1,3]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[7,2,1]
[3,2,5,6,4,8,1,7]=>[6,7,4,3,5,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,3,6,4,1,7,5,8]=>[7,6,3,5,8,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[2,3,7,1,5,8,4,6]=>[7,6,2,8,4,1,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[2,3,6,1,7,5,8,4]=>[7,6,3,8,2,4,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[2,3,6,5,1,7,4,8]=>[7,6,3,4,8,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[4,6,5,2,1,7,8,3]=>[5,3,4,7,8,2,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[4,6,1,7,5,8,3,2]=>[5,3,8,2,4,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[4,2,6,5,1,7,8,3]=>[5,7,3,4,8,2,1,6]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[4,1,5,7,6,8,3,2]=>[5,8,4,2,3,1,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[3,5,6,2,1,4,7,8]=>[6,4,3,7,8,5,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[4,2,5,7,6,8,3,1]=>[5,7,4,2,3,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[4,3,6,5,2,8,1,7]=>[5,6,3,4,7,1,8,2]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[4,3,6,5,1,7,8,2]=>[5,6,3,4,8,2,1,7]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[3,6,4,5,2,1,7,8]=>[6,3,5,4,7,8,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[3,5,6,4,2,8,1,7]=>[6,4,3,5,7,1,8,2]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[4,6,5,3,1,7,8,2]=>[5,3,4,6,8,2,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,8,1,4,2,3,6,7]=>[4,1,8,5,7,6,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,5,8,2,3,1,6,7]=>[5,4,1,7,6,8,3,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[3,5,4,8,1,7,2,6]=>[6,4,5,1,8,2,7,3]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[1,2,5,6,8,3,7,4]=>[8,7,4,3,1,6,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,4,8,1,5,2,6,3]=>[2,5,1,8,4,7,3,6]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[8,3,2,1,6,5,7,4]=>[1,6,7,8,3,4,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,2,5,6,8,4,7,3]=>[8,7,4,3,1,5,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[5,6,8,1,2,4,7,3]=>[4,3,1,8,7,5,2,6]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[4,3,5,1,8,6,7,2]=>[5,6,4,8,1,3,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[5,8,7,2,1,3,6,4]=>[4,1,2,7,8,6,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[5,1,7,2,8,6,3,4]=>[4,8,2,7,1,3,6,5]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[5,8,6,3,2,1,4,7]=>[4,1,3,6,7,8,5,2]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[8,7,1,6,3,5,4,2]=>[1,2,8,3,6,4,5,7]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[8,6,7,1,2,5,3,4]=>[1,3,2,8,7,4,6,5]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,1,7,8,4,2,3,5]=>[3,8,2,1,5,7,6,4]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[7,4,3,1,8,5,2,6]=>[2,5,6,8,1,4,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[6,8,1,7,3,4,2,5]=>[3,1,8,2,6,5,7,4]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[3,4,2,1,5,6,7,8,9]=>[7,6,8,9,5,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8],[9]]=>[2,7]
[4,3,1,2,5,6,7,8,9]=>[6,7,9,8,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9]
[5,3,1,2,4,6,7,8,9]=>[5,7,9,8,6,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9]
[4,3,1,2,5,6,7,8,9,10]=>[7,8,10,9,6,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[1,3,7,6,4,5,8,2]=>[8,6,2,3,5,4,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[1,3,5,8,4,7,6,2]=>[8,6,4,1,5,2,3,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[7,8,3,5,2,1,6,4]=>[2,1,6,4,7,8,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[6,3,7,5,2,4,1,8]=>[3,6,2,4,7,5,8,1]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,8,2,4,5,7,3,6]=>[8,1,7,5,4,2,6,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[6,1,7,4,5,3,2,8]=>[3,8,2,5,4,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[6,3,7,5,1,4,2,8]=>[3,6,2,4,8,5,7,1]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[3,8,5,7,4,2,1,6]=>[6,1,4,2,5,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[6,4,7,2,1,3,5,8]=>[3,5,2,7,8,6,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[3,8,5,4,7,2,6,1]=>[6,1,4,5,2,7,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[3,8,2,6,5,7,4,1]=>[6,1,7,3,4,2,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[4,3,7,8,1,6,5,2]=>[5,6,2,1,8,3,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[2,8,7,6,3,5,1,4]=>[7,1,2,3,6,4,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[2,8,4,7,6,5,1,3]=>[7,1,5,2,3,4,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[3,5,6,2,8,1,7,4]=>[6,4,3,7,1,8,2,5]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[3,1,4,6,8,2,7,5]=>[6,8,5,3,1,7,2,4]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[2,6,5,7,8,4,1,3]=>[7,3,4,2,1,5,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[3,4,7,5,2,1,8,6]=>[6,5,2,4,7,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[7,2,8,4,5,6,3,1]=>[2,7,1,5,4,3,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[6,2,3,8,5,4,7,1]=>[3,7,6,1,4,5,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[5,4,3,1,2,6,7,8,9]=>[5,6,7,9,8,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9]
[6,5,4,3,1,2,7,8,9]=>[4,5,6,7,9,8,3,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[9]
[6,5,4,3,1,2,7,8,9,10]=>[5,6,7,8,10,9,4,3,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10]
[7,6,5,4,3,1,2,8,9,10]=>[4,5,6,7,8,10,9,3,2,1]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10]
[5,1,4,7,8,6,3,2]=>[4,8,5,2,1,3,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,7,8,6,4,1,3,2]=>[4,2,1,3,5,8,6,7]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[5,1,4,8,6,7,3,2]=>[4,8,5,1,3,2,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[2,7,4,1,3,8,5,6]=>[7,2,5,8,6,1,4,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[2,7,6,3,8,5,1,4]=>[7,2,3,6,1,4,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,3,1,7,8,4,6,5]=>[7,6,8,2,1,5,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[2,3,1,8,4,6,5,7]=>[7,6,8,1,5,3,4,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[2,3,1,7,6,8,4,5]=>[7,6,8,2,3,1,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,2,1,9,4,5,6,7,8]=>[7,8,9,1,6,5,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8],[9]]=>[4,5]
[5,8,7,2,6,4,1,3]=>[4,1,2,7,3,5,8,6]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[5,8,7,3,6,2,1,4]=>[4,1,2,6,3,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[6,8,5,1,7,4,3,2]=>[3,1,4,8,2,5,6,7]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[6,8,5,2,7,4,1,3]=>[3,1,4,7,2,5,8,6]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[6,8,5,3,7,1,4,2]=>[3,1,4,6,2,8,5,7]=>[[1,3,4,6],[2,5,7,8]]=>[2,3,2,1]
[6,8,5,4,1,7,3,2]=>[3,1,4,5,8,2,6,7]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[7,3,8,6,5,2,1,4]=>[2,6,1,3,4,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[7,4,8,6,3,2,1,5]=>[2,5,1,3,6,7,8,4]=>[[1,2,5,6,7],[3,4,8]]=>[3,5]
[7,5,8,1,6,4,3,2]=>[2,4,1,8,3,5,6,7]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[7,5,8,2,6,4,1,3]=>[2,4,1,7,3,5,8,6]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[7,6,2,8,5,4,1,3]=>[2,3,7,1,4,5,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[6,5,4,2,1,8,7,3]=>[3,4,5,7,8,1,2,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[6,5,4,2,8,1,7,3]=>[3,4,5,7,1,8,2,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[2,1,3,4,5,6,8,7,9]=>[8,9,7,6,5,4,2,3,1]=>[[1,2],[3,8],[4],[5],[6],[7],[9]]=>[7,2]
[2,3,4,5,6,8,7,9,1]=>[8,7,6,5,4,2,3,1,9]=>[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[6,2,1]
[2,6,8,7,1,3,5,4]=>[7,3,1,2,8,6,4,5]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[4,1,3,7,5,2,6,8]=>[5,8,6,2,4,7,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[4,1,6,3,2,7,5,8]=>[5,8,3,6,7,2,4,1]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,5,7,4,1,3,6,8]=>[7,4,2,5,8,6,3,1]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[4,2,5,1,6,3,7,8]=>[5,7,4,8,3,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[5,1,6,2,4,3,7,8]=>[4,8,3,7,5,6,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[3,5,4,2,1,8,6,7]=>[6,4,5,7,8,1,3,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[8,3,1,6,7,5,4,2]=>[1,6,8,3,2,4,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[1,8,2,6,7,4,5,3]=>[8,1,7,3,2,5,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,2,8,3,4,7,6,5]=>[8,7,1,6,5,2,3,4]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[8,2,4,7,6,3,1,5]=>[1,7,5,2,3,6,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[6,3,4,7,2,8,5,1]=>[3,6,5,2,7,1,4,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[5,6,4,1,8,2,3,7]=>[4,3,5,8,1,7,6,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[1,4,5,8,3,2,6,7]=>[8,5,4,1,6,7,3,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[1,5,2,4,7,8,6,3]=>[8,4,7,5,2,1,3,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[2,7,4,5,3,8,6,1]=>[7,2,5,4,6,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[4,6,7,3,1,2,8,5]=>[5,3,2,6,8,7,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[7,3,5,2,6,8,1,4]=>[2,6,4,7,3,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[6,4,2,7,1,5,8,3]=>[3,5,7,2,8,4,1,6]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[2,5,3,6,4,7,8,1]=>[7,4,6,3,5,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[4,2,5,3,6,7,8,1]=>[5,7,4,6,3,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[1,8,7,2,5,4,3,6]=>[8,1,2,7,4,5,6,3]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[1,5,4,2,7,3,6,8]=>[8,4,5,7,2,6,3,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,4,7,3,2,8,6,5]=>[8,5,2,6,7,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[1,8,3,7,2,4,6,5]=>[8,1,6,2,7,5,3,4]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[6,8,5,7,2,1,4,3]=>[3,1,4,2,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>[2,2,3,1]
[8,4,6,5,3,2,7,1]=>[1,5,3,4,6,7,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[6,2,1,7,5,8,4,3]=>[3,7,8,2,4,1,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[1,6,4,8,5,3,7,2]=>[8,3,5,1,4,6,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,8,1,6,5,4,7,3]=>[7,1,8,3,4,5,2,6]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[3,5,6,2,8,7,1,4]=>[6,4,3,7,1,2,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[8,2,7,5,1,3,6,4]=>[1,7,2,4,8,6,3,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[2,5,1,7,6,4,8,3]=>[7,4,8,2,3,5,1,6]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[4,2,6,7,8,1,3,5]=>[5,7,3,2,1,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[5,1,8,3,6,2,7,4]=>[4,8,1,6,3,7,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[7,4,5,2,6,3,8,1]=>[2,5,4,7,3,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[2,5,1,8,7,6,4,3]=>[7,4,8,1,2,3,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[4,1,7,6,2,5,8,3]=>[5,8,2,3,7,4,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[6,5,4,1,3,7,8,2]=>[3,4,5,8,6,2,1,7]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[4,2,3,6,7,8,1,5]=>[5,7,6,3,2,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[2,7,6,4,1,5,8,3]=>[7,2,3,5,8,4,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,2,1,3,7,8,4,6]=>[4,7,8,6,2,1,5,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,4,2,6,1,7,3,5]=>[1,5,7,3,8,2,6,4]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,1,2,8,5,4,6,3]=>[2,8,7,1,4,5,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[7,1,6,8,2,4,3,5]=>[2,8,3,1,7,5,6,4]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[4,8,1,7,3,2,6,5]=>[5,1,8,2,6,7,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[4,7,1,8,3,2,6,5]=>[5,2,8,1,6,7,3,4]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[7,8,5,2,6,3,1,4]=>[2,1,4,7,3,6,8,5]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[5,1,8,6,7,4,2,3]=>[4,8,1,3,2,5,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[4,1,2,8,6,5,7,3]=>[5,8,7,1,3,4,2,6]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[6,1,2,4,3,7,8,5]=>[3,8,7,5,6,2,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[7,1,2,6,5,3,8,4]=>[2,8,7,3,4,6,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,1,4,5,2,3,6,8]=>[2,8,5,4,7,6,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[8,1,2,3,7,5,4,6]=>[1,8,7,6,2,4,5,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[5,8,6,1,2,4,7,3]=>[4,1,3,8,7,5,2,6]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[1,6,8,7,5,3,4,2]=>[8,3,1,2,4,6,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[6,1,8,7,5,2,3,4]=>[3,8,1,2,4,7,6,5]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[8,3,1,2,4,6,5,7]=>[1,6,8,7,5,3,4,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[6,3,1,2,4,7,5,8]=>[3,6,8,7,5,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[6,7,1,4,2,3,5,8]=>[3,2,8,5,7,6,4,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[6,1,7,4,8,2,3,5]=>[3,8,2,5,1,7,6,4]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[8,6,5,4,3,2,7,9,1]=>[2,4,5,6,7,8,3,1,9]=>[[1,2,3,4,5,6,9],[7],[8]]=>[8,1]
[4,3,8,5,6,2,7,1]=>[5,6,1,4,3,7,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[4,3,8,6,7,2,5,1]=>[5,6,1,3,2,7,4,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[7,6,8,1,5,3,4,2]=>[2,3,1,8,4,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[6,1,8,5,7,3,4,2]=>[3,8,1,4,2,6,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[2,7,4,5,1,8,3,6]=>[7,2,5,4,8,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[8,4,5,7,6,1,2,3]=>[1,5,4,2,3,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[8,4,5,7,1,3,6,2]=>[1,5,4,2,8,6,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[8,1,3,4,6,7,5,2]=>[1,8,6,5,3,2,4,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[8,7,6,2,3,5,4,1]=>[1,2,3,7,6,4,5,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[8,3,6,7,5,1,2,4]=>[1,6,3,2,4,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[8,2,1,6,5,7,4,3]=>[1,7,8,3,4,2,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[3,5,1,6,4,8,2,7]=>[6,4,8,3,5,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,5,8,6,2,1,4,7]=>[6,4,1,3,7,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[4,8,2,5,6,1,3,7]=>[5,1,7,4,3,8,6,2]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[5,3,8,4,2,7,6,1]=>[4,6,1,5,7,2,3,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[8,7,3,6,5,2,4,1]=>[1,2,6,3,4,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[3,1,2,8,6,5,7,4]=>[6,8,7,1,3,4,2,5]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[2,8,7,4,6,3,1,5]=>[7,1,2,5,3,6,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[8,3,4,1,2,5,7,6]=>[1,6,5,8,7,4,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,4,1,3,2,5,7,6]=>[1,5,8,6,7,4,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,3,8,6,2,1,4,5]=>[2,6,1,3,7,8,5,4]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[8,3,5,6,4,7,2,1]=>[1,6,4,3,5,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>[4,2,2]
[6,4,8,7,5,3,2,1]=>[3,5,1,2,4,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[3,5]
[6,7,1,4,3,2,8,5]=>[3,2,8,5,6,7,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[1,3,7,6,8,4,2,5]=>[8,6,2,3,1,5,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[1,6,7,3,2,8,5,4]=>[8,3,2,6,7,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[3,3,2]
[3,2,7,6,8,4,5,1]=>[6,7,2,3,1,5,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[7,6,5,3,1,8,2,4]=>[2,3,4,6,8,1,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[2,5,1,4,7,3,6,8]=>[7,4,8,5,2,6,3,1]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[3,1,6,5,2,4,7,8]=>[6,8,3,4,7,5,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[3,6,5,1,7,2,4,8]=>[6,3,4,8,2,7,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[3,6,5,2,1,4,7,8]=>[6,3,4,7,8,5,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[5,4,3,6,1,7,2,8]=>[4,5,6,3,8,2,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[4,3,6,5,7,1,2,8]=>[5,6,3,4,2,8,7,1]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[4,2,5,7,6,1,3,8]=>[5,7,4,2,3,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[3,6,5,7,2,1,4,8]=>[6,3,4,2,7,8,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[3,5,7,6,2,4,1,8]=>[6,4,2,3,7,5,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[5,4,2,6,3,7,1,8]=>[4,5,7,3,6,2,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[3,5,8,2,1,4,6,7]=>[6,4,1,7,8,5,3,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,5,8,2,4,6,7,1]=>[6,4,1,7,5,3,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[5,3,8,2,1,4,6,7]=>[4,6,1,7,8,5,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,1,3,8,2,4,6,7]=>[4,8,6,1,7,5,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[1,5,8,4,2,3,6,7]=>[8,4,1,5,7,6,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[5,8,2,4,6,3,7,1]=>[4,1,7,5,3,6,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[8,4,3,6,7,2,1,5]=>[1,5,6,3,2,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[1,8,6,4,2,3,5,7]=>[8,1,3,5,7,6,4,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[3,8,6,2,1,4,5,7]=>[6,1,3,7,8,5,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[3,8,6,2,4,1,5,7]=>[6,1,3,7,5,8,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,1,3,6,2,4,5,7]=>[1,8,6,3,7,5,4,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,8,6,7,2,1,4,5]=>[6,1,3,2,7,8,5,4]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[8,2,6,4,5,1,7,3]=>[1,7,3,5,4,8,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[1,8,4,6,7,5,2,3]=>[8,1,5,3,2,4,7,6]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,4,7,2,1,3,6,5]=>[1,5,2,7,8,6,3,4]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[8,3,1,7,2,4,6,5]=>[1,6,8,2,7,5,3,4]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[1,8,4,2,6,3,7,5]=>[8,1,5,7,3,6,2,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[8,4,2,1,5,3,7,6]=>[1,5,7,8,4,6,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[8,2,1,4,7,3,6,5]=>[1,7,8,5,2,6,3,4]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[8,4,3,1,5,7,2,6]=>[1,5,6,8,4,2,7,3]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[8,4,2,1,5,7,3,6]=>[1,5,7,8,4,2,6,3]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[1,6,2,5,8,4,7,3]=>[8,3,7,4,1,5,2,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[3,2,8,6,1,4,7,5]=>[6,7,1,3,8,5,2,4]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[3,8,7,2,1,5,6,4]=>[6,1,2,7,8,4,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[2,6,8,5,1,7,4,3]=>[7,3,1,4,8,2,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[3,2,6,8,1,4,7,5]=>[6,7,3,1,8,5,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[4,2,1,6,7,3,8,5]=>[5,7,8,3,2,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[3,2,1,6,7,4,8,5]=>[6,7,8,3,2,5,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[7,2,3,1,4,8,5,6]=>[2,7,6,8,5,1,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[3,5,8,6,4,1,7,2]=>[6,4,1,3,5,8,2,7]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[5,1,7,6,4,2,3,8]=>[4,8,2,3,5,7,6,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[5,1,8,6,4,2,3,7]=>[4,8,1,3,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[1,2,8,6,4,7,3,5]=>[8,7,1,3,5,2,6,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[5,3,2,7,8,6,4,1]=>[4,6,7,2,1,3,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[1,4,8,7,2,5,6,3]=>[8,5,1,2,7,4,3,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,8,3,7,1,4,6,5]=>[7,1,6,2,8,5,3,4]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,4,7,6,1,2,8,3]=>[4,5,2,3,8,7,1,6]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[1,7,2,8,3,5,6,4]=>[8,2,7,1,6,4,3,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[2,8,7,3,5,4,6,1]=>[7,1,2,6,4,5,3,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[1,4,6,7,8,5,2,3]=>[8,5,3,2,1,4,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[2,4,3,7,1,5,6,8]=>[7,5,6,2,8,4,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[3,2,5,6,8,1,4,7]=>[6,7,4,3,1,8,5,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[3,8,1,6,4,5,2,7]=>[6,1,8,3,5,4,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[1,2,4,8,6,3,7,5]=>[8,7,5,1,3,6,2,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[5,7,2,3,1,4,8,6]=>[4,2,7,6,8,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,1,5,2,4,6,8,3]=>[2,8,4,7,5,3,1,6]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[1,8,6,4,7,5,3,2]=>[8,1,3,5,2,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[1,3,8,7,6,4,2,5]=>[8,6,1,2,3,5,7,4]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[7,4,1,6,3,2,5,8]=>[2,5,8,3,6,7,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[1,6,5,4,2,8,3,7]=>[8,3,4,5,7,1,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[7,5,4,3,8,1,6,2]=>[2,4,5,6,1,8,3,7]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[5,3,1,6,2,8,7,4]=>[4,6,8,3,7,1,2,5]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[7,5,4,3,1,6,8,2]=>[2,4,5,6,8,3,1,7]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,4,2,1,5,7,3,8]=>[3,5,7,8,4,2,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[3,1,5,8,7,2,4,6]=>[6,8,4,1,2,7,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[3,2,5,7,8,4,6,1]=>[6,7,4,2,1,5,3,8]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[5,3,7,4,2,6,1,8]=>[4,6,2,5,7,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[5,1,8,4,3,2,6,7]=>[4,8,1,5,6,7,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[5,2,7,4,3,6,1,8]=>[4,7,2,5,6,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[5,2,7,4,3,6,8,1]=>[4,7,2,5,6,3,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[3,1,5,7,8,4,2,6]=>[6,8,4,2,1,5,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[6,1,3,7,4,5,2,8]=>[3,8,6,2,5,4,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[4,5,7,8,1,6,3,2]=>[5,4,2,1,8,3,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[1,8,2,7,5,3,4,6]=>[8,1,7,2,4,6,5,3]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[7,4,5,8,2,6,1,3]=>[2,5,4,1,7,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[2,4,1,5,8,6,7,3]=>[7,5,8,4,1,3,2,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[4,1,5,3,8,6,7,2]=>[5,8,4,6,1,3,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[7,4,2,8,3,6,1,5]=>[2,5,7,1,6,3,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[7,1,3,2,4,5,6,8]=>[2,8,6,7,5,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[8,5,4,6,1,7,2,3]=>[1,4,5,3,8,2,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[5,1,7,8,2,4,3,6]=>[4,8,2,1,7,5,6,3]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[8,5,4,6,1,7,3,2]=>[1,4,5,3,8,2,6,7]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[5,3,2,4,8,1,6,7]=>[4,6,7,5,1,8,3,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[5,3,2,4,8,6,1,7]=>[4,6,7,5,1,3,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,3,1,7,2,4,8,6]=>[4,6,8,2,7,5,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[4,8,1,7,3,5,6,2]=>[5,1,8,2,6,4,3,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,3,2,4,8,7,1,6]=>[4,6,7,5,1,2,8,3]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,3,2,4,6,8,1,7]=>[4,6,7,5,3,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[5,1,2,8,4,7,3,6]=>[4,8,7,1,5,2,6,3]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[3,7,4,5,6,8,2,1]=>[6,2,5,4,3,1,7,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[8,7,1,4,2,5,3,6]=>[1,2,8,5,7,4,6,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[4,6,8,3,7,1,5,2]=>[5,3,1,6,2,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[8,7,1,2,5,6,3,4]=>[1,2,8,7,4,3,6,5]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,6,1,5,2,7,3,4]=>[1,3,8,4,7,2,6,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,5,2,4,3,7,1,6]=>[1,4,7,5,6,2,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,5,1,4,3,7,6,2]=>[1,4,8,5,6,2,3,7]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[8,5,1,4,3,2,7,6]=>[1,4,8,5,6,7,2,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[7,5,4,1,3,6,8,2]=>[2,4,5,8,6,3,1,7]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,1]
[1,2,6,4,8,3,5,7]=>[8,7,3,5,1,6,4,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[6,5,4,3,1,7,2,8]=>[3,4,5,6,8,2,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[3,6,7,2,5,1,8,4]=>[6,3,2,7,4,8,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[2,6,5,7,1,4,8,3]=>[7,3,4,2,8,5,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[3,5,1,7,8,4,6,2]=>[6,4,8,2,1,5,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[8,1,2,4,7,6,5,3]=>[1,8,7,5,2,3,4,6]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[3,4,1,8,6,7,5,2]=>[6,5,8,1,3,2,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[6,7,4,2,5,8,3,1]=>[3,2,5,7,4,1,6,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[8,5,4,2,6,3,1,7]=>[1,4,5,7,3,6,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,4,6,5,1,3,2,7]=>[1,5,3,4,8,6,7,2]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[1,3,8,4,7,5,2,6]=>[8,6,1,5,2,4,7,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[5,7,2,6,1,4,8,3]=>[4,2,7,3,8,5,1,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[8,4,7,5,2,1,3,6]=>[1,5,2,4,7,8,6,3]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[4,5,2,1,6,7,8,3]=>[5,4,7,8,3,2,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[3,5,6,7,4,1,8,2]=>[6,4,3,2,5,8,1,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[3,5,1,4,2,8,7,6]=>[6,4,8,5,7,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[3,5,1,4,2,6,8,7]=>[6,4,8,5,7,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[1,8,4,2,3,7,5,6]=>[8,1,5,7,6,2,4,3]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,4,8,3,2,7,6,5]=>[8,5,1,6,7,2,3,4]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[1,5,3,8,4,2,6,7]=>[8,4,6,1,5,7,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,7,5,2,4,3,6,8]=>[8,2,4,7,5,6,3,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[1,2,8,6,7,5,4,3]=>[8,7,1,3,2,4,5,6]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[1,3,8,6,5,4,2,7]=>[8,6,1,3,4,5,7,2]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[1,7,5,4,3,2,6,8]=>[8,2,4,5,6,7,3,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[3,8,5,7,4,6,2,1]=>[6,1,4,2,5,3,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[8,6,2,4,5,7,1,3]=>[1,3,7,5,4,2,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[3,8,7,4,5,2,6,1]=>[6,1,2,5,4,7,3,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[6,5,2,4,1,3,8,7]=>[3,4,7,5,8,6,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,6,3,2,5,1,8,4]=>[2,3,6,7,4,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[4,2,7,8,3,6,1,5]=>[5,7,2,1,6,3,8,4]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[4,6,3,7,5,8,2,1]=>[5,3,6,2,4,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[4,2,5,7,8,6,3,1]=>[5,7,4,2,1,3,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[8,2,5,7,3,6,1,4]=>[1,7,4,2,6,3,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,2,5,8,7,6,3,1]=>[5,7,4,1,2,3,6,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[6,7,2,4,5,1,8,3]=>[3,2,7,5,4,8,1,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,2,7,8,3,6,1,4]=>[4,7,2,1,6,3,8,5]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[7,2,8,3,1,6,4,5]=>[2,7,1,6,8,3,5,4]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[7,2,3,4,1,8,5,6]=>[2,7,6,5,8,1,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,4,7,8,1,3,6,5]=>[7,5,2,1,8,6,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[8,5,1,2,3,7,4,6]=>[1,4,8,7,6,2,5,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[6,2,1,3,8,5,4,7]=>[3,7,8,6,1,4,5,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[8,4,2,3,1,7,6,5]=>[1,5,7,6,8,2,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[5,2,8,3,1,4,7,6]=>[4,7,1,6,8,5,2,3]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[8,7,2,5,1,4,3,6]=>[1,2,7,4,8,5,6,3]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[6,3,5,2,8,7,1,4]=>[3,6,4,7,1,2,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[8,1,3,5,2,4,7,6]=>[1,8,6,4,7,5,2,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,3,5,1,2,4,7,6]=>[1,6,4,8,7,5,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,6,5,1,7,4,2,3]=>[1,3,4,8,2,5,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,7,4,5,1,2,6,3]=>[1,2,5,4,8,7,3,6]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[3,8,6,2,7,1,5,4]=>[6,1,3,7,2,8,4,5]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[8,4,3,5,1,2,7,6]=>[1,5,6,4,8,7,2,3]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[3,4,8,2,1,7,6,5]=>[6,5,1,7,8,2,3,4]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[8,3,4,2,1,7,6,5]=>[1,6,5,7,8,2,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,8,4,2,1,7,6,5]=>[6,1,5,7,8,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[8,3,1,7,5,6,2,4]=>[1,6,8,2,4,3,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[8,4,1,7,5,2,6,3]=>[1,5,8,2,4,7,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[8,4,2,7,5,3,1,6]=>[1,5,7,2,4,6,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[8,4,3,7,5,1,2,6]=>[1,5,6,2,4,8,7,3]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[8,5,7,6,4,3,1,2]=>[1,4,2,3,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[8,4,7,6,5,2,1,3]=>[1,5,2,3,4,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[8,3,1,4,7,6,2,5]=>[1,6,8,5,2,3,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[8,3,5,7,6,2,4,1]=>[1,6,4,2,3,7,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[1,4,6,8,2,5,7,3]=>[8,5,3,1,7,4,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[3,6,2,4,8,1,7,5]=>[6,3,7,5,1,8,2,4]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[5,2,1,6,8,3,7,4]=>[4,7,8,3,1,6,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[1,5,2,6,8,3,7,4]=>[8,4,7,3,1,6,2,5]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[3,5,8,1,4,6,2,7]=>[6,4,1,8,5,3,7,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[5,1,7,8,3,6,2,4]=>[4,8,2,1,6,3,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[1,6,7,3,8,4,2,5]=>[8,3,2,6,1,5,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[7,8,3,1,4,5,2,6]=>[2,1,6,8,5,4,7,3]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[7,2,8,4,1,3,5,6]=>[2,7,1,5,8,6,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[5,8,2,1,3,4,6,7]=>[4,1,7,8,6,5,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[7,3,1,8,2,4,6,5]=>[2,6,8,1,7,5,3,4]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[4,2,5,1,8,3,6,7]=>[5,7,4,8,1,6,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[6,7,2,8,5,1,4,3]=>[3,2,7,1,4,8,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,7,8,5,2,1,4,3]=>[3,2,1,4,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[1,6,2,7,8,4,3,5]=>[8,3,7,2,1,5,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[6,7,1,8,4,3,2,5]=>[3,2,8,1,5,6,7,4]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[8,2,1,5,6,3,4,7]=>[1,7,8,4,3,6,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[7,3,4,1,8,6,2,5]=>[2,6,5,8,1,3,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[3,5,4,1,2,6,8,7]=>[6,4,5,8,7,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[8,5,1,4,7,6,2,3]=>[1,4,8,5,2,3,7,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[6,3,1,4,7,8,2,5]=>[3,6,8,5,2,1,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,2,4,1,5,6,3,7]=>[1,7,5,8,4,3,6,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[9,8,7,6,5,1,3,4,2]=>[1,2,3,4,5,9,7,6,8]=>[[1,2,3,4,5,6,9],[7],[8]]=>[8,1]
[9,1,7,8,6,5,4,3,2]=>[1,9,3,2,4,5,6,7,8]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,5]
[4,5,7,1,8,6,2,3]=>[5,4,2,8,1,3,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[2,3,8,6,5,1,7,4]=>[7,6,1,3,4,8,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[8,4,1,6,5,7,2,3]=>[1,5,8,3,4,2,7,6]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[4,1,8,6,5,7,2,3]=>[5,8,1,3,4,2,7,6]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[8,7,4,6,5,1,2,3]=>[1,2,5,3,4,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[2,1,3,6,8,4,7,5]=>[7,8,6,3,1,5,2,4]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[7,2,3,6,5,8,1,4]=>[2,7,6,3,4,1,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[3,5,2,6,7,4,1,8]=>[6,4,7,3,2,5,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[2,7,1,8,5,4,3,6]=>[7,2,8,1,4,5,6,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[7,1,2,8,5,4,3,6]=>[2,8,7,1,4,5,6,3]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[8,1,2,7,6,4,3,5]=>[1,8,7,2,3,5,6,4]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[3,1,2,6,5,7,8,4]=>[6,8,7,3,4,2,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[8,2,6,1,5,4,3,7]=>[1,7,3,8,4,5,6,2]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[3,7,5,6,2,4,1,8]=>[6,2,4,3,7,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,2,5,1,3,6,8,7]=>[5,7,4,8,6,3,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[2,7,1,5,6,8,3,4]=>[7,2,8,4,3,1,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[7,2,5,8,6,3,4,1]=>[2,7,4,1,3,6,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[5,8,2,6,7,3,4,1]=>[4,1,7,3,2,6,5,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[3,2,6,7,4,5,8,1]=>[6,7,3,2,5,4,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[2,3,6,7,8,4,5,1]=>[7,6,3,2,1,5,4,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,2,4,3,8,6,5,1]=>[2,7,5,6,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[7,3,4,2,8,6,1,5]=>[2,6,5,7,1,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,3,4,2,7,1,8,6]=>[4,6,5,7,2,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,4,5,3,7,8,1,6]=>[7,5,4,6,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[3,6,4,8,1,2,7,5]=>[6,3,5,1,8,7,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[3,7,1,4,8,2,6,5]=>[6,2,8,5,1,7,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[7,6,1,2,8,3,4,5]=>[2,3,8,7,1,6,5,4]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[5,6,8,2,1,3,4,7]=>[4,3,1,7,8,6,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[6,5,2,1,3,8,4,7]=>[3,4,7,8,6,1,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[2,4,3,5,6,8,1,7]=>[7,5,6,4,3,1,8,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[6,3,2,4,8,5,1,7]=>[3,6,7,5,1,4,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[6,3,1,2,7,8,4,5]=>[3,6,8,7,2,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,3,1,7,4,8,2,5]=>[3,6,8,2,5,1,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[7,4,6,1,3,8,2,5]=>[2,5,3,8,6,1,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,4,7,1,2,5,3,6]=>[1,5,2,8,7,4,6,3]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,4,6,1,8,5,2,3]=>[2,5,3,8,1,4,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[8,5,6,7,2,1,4,3]=>[1,4,3,2,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,5,6,7,2,4,1,3]=>[1,4,3,2,7,5,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,3,5,1,7,2,6,8]=>[5,6,4,8,2,7,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[6,4,8,1,5,3,2,7]=>[3,5,1,8,4,6,7,2]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[3,7,6,2,5,1,4,8]=>[6,2,3,7,4,8,5,1]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[6,8,4,2,3,1,7,5]=>[3,1,5,7,6,8,2,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[7,5,1,3,4,8,2,6]=>[2,4,8,6,5,1,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,1,5,6,3,2,8,4]=>[2,8,4,3,6,7,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,4,3,8,6,5,1,7]=>[7,5,6,1,3,4,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,1,4,5,8,6,2,7]=>[6,8,5,4,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[1,8,3,2,5,4,6,7]=>[8,1,6,7,4,5,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[5,1,7,3,2,8,4,6]=>[4,8,2,6,7,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[4,1,6,7,3,5,8,2]=>[5,8,3,2,6,4,1,7]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[8,7,3,6,2,4,1,5]=>[1,2,6,3,7,5,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,8,6,1,3,5,4,2]=>[2,1,3,8,6,4,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[1,7,5,8,4,3,2,6]=>[8,2,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,2,7,5,3,4,1,6]=>[1,7,2,4,6,5,8,3]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[1,2,5,7,8,3,6,4]=>[8,7,4,2,1,6,3,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,6,3,4,2,1,8,5]=>[2,3,6,5,7,8,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[3,4,5,8,1,7,2,6]=>[6,5,4,1,8,2,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[6,3,4,2,7,1,5,8]=>[3,6,5,7,2,8,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[6,8,3,4,7,2,1,5]=>[3,1,6,5,2,7,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[4,3,8,6,7,5,1,2]=>[5,6,1,3,2,4,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,5,6,2,7,1,8,3]=>[5,4,3,7,2,8,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[4,5,6,2,1,7,8,3]=>[5,4,3,7,8,2,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[4,5,6,2,1,7,3,8]=>[5,4,3,7,8,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[6,8,7,2,3,1,4,5]=>[3,1,2,7,6,8,5,4]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[4,5,1,6,7,3,2,8]=>[5,4,8,3,2,6,7,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[5,6,1,8,7,4,2,3]=>[4,3,8,1,2,5,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[6,7,3,1,2,5,4,8]=>[3,2,6,8,7,4,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[3,7,4,8,1,5,6,2]=>[6,2,5,1,8,4,3,7]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[2,5,1,8,3,7,4,6]=>[7,4,8,1,6,2,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[2,3,8,6,5,7,1,4]=>[7,6,1,3,4,2,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,3,8,4,1,5,7,2]=>[3,6,1,5,8,4,2,7]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[6,3,4,1,7,5,8,2]=>[3,6,5,8,2,4,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[6,7,2,5,8,3,1,4]=>[3,2,7,4,1,6,8,5]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[5,7,2,1,3,8,4,6]=>[4,2,7,8,6,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[3,7,5,4,1,6,8,2]=>[6,2,4,5,8,3,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[3,8,5,4,1,6,7,2]=>[6,1,4,5,8,3,2,7]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,2,1,4,6,8,7,3]=>[4,7,8,5,3,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[4,1,7,6,3,2,5,8]=>[5,8,2,3,6,7,4,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,6,1,3,2,5,8,7]=>[5,3,8,6,7,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[7,1,5,4,2,6,3,8]=>[2,8,4,5,7,3,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[5,6,1,8,3,2,4,7]=>[4,3,8,1,6,7,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[2,5,3,6,7,1,8,4]=>[7,4,6,3,2,8,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[9,8,7,6,5,3,2,4,1]=>[1,2,3,4,5,7,8,6,9]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1]
[10,9,8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,9,8,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1]
[2,3,4,6,8,1,7,5]=>[7,6,5,3,1,8,2,4]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[2,3,5,8,1,6,7,4]=>[7,6,4,1,8,3,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[7,3,4,6,2,8,1,5]=>[2,6,5,3,7,1,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,7,6,5,2,8,3,1]=>[5,2,3,4,7,1,6,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[7,5,4,1,6,8,2,3]=>[2,4,5,8,3,1,7,6]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[5,4,7,3,2,1,8,6]=>[4,5,2,6,7,8,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[2,6,7,5,3,1,8,4]=>[7,3,2,4,6,8,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[8,7,3,6,5,4,1,2]=>[1,2,6,3,4,5,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[5,1,4,6,8,7,3,2]=>[4,8,5,3,1,2,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,6,5,1,4,8,2,7]=>[6,3,4,8,5,1,7,2]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[6,2,1,5,4,8,3,7]=>[3,7,8,4,5,1,6,2]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[6,3,5,4,8,1,2,7]=>[3,6,4,5,1,8,7,2]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[8,5,7,6,3,4,2,1]=>[1,4,2,3,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[8,2,1,5,7,3,6,4]=>[1,7,8,4,2,6,3,5]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[2,5,1,4,6,3,8,7]=>[7,4,8,5,3,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[3,1,5,6,4,2,8,7]=>[6,8,4,3,5,7,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[8,5,6,4,3,1,7,2]=>[1,4,3,5,6,8,2,7]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[8,3,5,6,7,1,2,4]=>[1,6,4,3,2,8,7,5]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[8,4,7,5,1,6,3,2]=>[1,5,2,4,8,3,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[8,4,1,3,7,6,5,2]=>[1,5,8,6,2,3,4,7]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[8,1,4,2,6,5,7,3]=>[1,8,5,7,3,4,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[3,7,6,8,1,4,5,2]=>[6,2,3,1,8,5,4,7]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[3,6,5,4,1,7,8,2]=>[6,3,4,5,8,2,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[3,6,5,4,7,8,1,2]=>[6,3,4,5,2,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[8,6,4,3,7,2,1,5]=>[1,3,5,6,2,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>[5,3]
[8,6,4,3,1,2,7,5]=>[1,3,5,6,8,7,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[7,8,1,4,3,2,6,5]=>[2,1,8,5,6,7,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,8,1,4,3,2,6,7]=>[4,1,8,5,6,7,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[5,8,1,6,7,3,2,4]=>[4,1,8,3,2,6,7,5]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[6,7,4,1,3,2,5,8]=>[3,2,5,8,6,7,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,8,1,4,3,2,5,6]=>[2,1,8,5,6,7,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,7,4,1,3,2,5,6]=>[1,2,5,8,6,7,4,3]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[5,2,3,7,4,1,8,6]=>[4,7,6,2,5,8,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[7,1,2,4,5,6,8,3]=>[2,8,7,5,4,3,1,6]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,1]
[8,7,1,3,4,5,6,2]=>[1,2,8,6,5,4,3,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[1,7,2,5,4,6,8,3]=>[8,2,7,4,5,3,1,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[6,5,3,4,1,7,8,2]=>[3,4,6,5,8,2,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[5,6,3,4,1,7,8,2]=>[4,3,6,5,8,2,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[7,3,6,4,5,8,1,2]=>[2,6,3,5,4,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[6,4,3,7,5,8,2,1]=>[3,5,6,2,4,1,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[5,2,4,7,8,6,3,1]=>[4,7,5,2,1,3,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,4,8,7,2,3,1,6]=>[4,5,1,2,7,6,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,1,4,5,3,6,2,7]=>[1,8,5,4,6,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[8,3,5,1,4,6,2,7]=>[1,6,4,8,5,3,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,8,2,1,7,4,3,6]=>[4,1,7,8,2,5,6,3]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[6,5,7,2,1,8,4,3]=>[3,4,2,7,8,1,5,6]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[1,5,4,7,3,8,6,2]=>[8,4,5,2,6,1,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,5,2,4,7,8,6,1]=>[6,4,7,5,2,1,3,8]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[1,6,2,7,4,5,8,3]=>[8,3,7,2,5,4,1,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[7,4,2,6,1,5,8,3]=>[2,5,7,3,8,4,1,6]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[8,4,1,6,2,5,7,3]=>[1,5,8,3,7,4,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[6,2,3,7,5,4,8,1]=>[3,7,6,2,4,5,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[7,6,2,4,3,5,8,1]=>[2,3,7,5,6,4,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[6,3,1,7,5,8,4,2]=>[3,6,8,2,4,1,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[3,5,8,7,1,6,4,2]=>[6,4,1,2,8,3,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[8,4,2,7,6,1,5,3]=>[1,5,7,2,3,8,4,6]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[8,4,7,1,2,6,5,3]=>[1,5,2,8,7,3,4,6]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,7,6,2,3,5,1,4]=>[1,2,3,7,6,4,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[7,8,4,6,1,2,5,3]=>[2,1,5,3,8,7,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[4,1,6,7,5,8,3,2]=>[5,8,3,2,4,1,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,7,2,8,1,6,4,3]=>[4,2,7,1,8,3,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[8,4,7,1,6,5,2,3]=>[1,5,2,8,3,4,7,6]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[8,4,7,6,1,2,5,3]=>[1,5,2,3,8,7,4,6]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[3,8,7,4,6,1,5,2]=>[6,1,2,5,3,8,4,7]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[8,7,6,2,1,5,3,4]=>[1,2,3,7,8,4,6,5]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[5,7,8,1,6,2,4,3]=>[4,2,1,8,3,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[8,7,6,2,1,3,5,4]=>[1,2,3,7,8,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,8,2,7,1,5,4,3]=>[3,1,7,2,8,4,5,6]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[6,8,7,4,2,5,1,3]=>[3,1,2,5,7,4,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[6,8,4,5,2,1,3,7]=>[3,1,5,4,7,8,6,2]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[6,8,4,2,5,1,3,7]=>[3,1,5,7,4,8,6,2]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,1,4,6,2,3,7,5]=>[1,8,5,3,7,6,2,4]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[2,5,3,7,6,4,8,1]=>[7,4,6,2,3,5,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[2,5,6,8,3,4,7,1]=>[7,4,3,1,6,5,2,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,1,3,6,5,2,7,8]=>[5,8,6,3,4,7,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[3,6,2,4,5,7,1,8]=>[6,3,7,5,4,2,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[3,6,2,5,4,7,1,8]=>[6,3,7,4,5,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[3,5,1,7,6,4,2,8]=>[6,4,8,2,3,5,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,1,2,6,5,3,7,8]=>[5,8,7,3,4,6,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[4,6,1,3,5,2,7,8]=>[5,3,8,6,4,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[4,2,6,3,5,1,7,8]=>[5,7,3,6,4,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[4,6,1,2,5,3,7,8]=>[5,3,8,7,4,6,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[2,5,4,7,3,6,8,1]=>[7,4,5,2,6,3,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[6,4,7,1,3,5,2,8]=>[3,5,2,8,6,4,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,2,8,3,4,6,7,1]=>[4,7,1,6,5,3,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[4,3,5,8,6,1,7,2]=>[5,6,4,1,3,8,2,7]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[3,1,7,8,5,6,2,4]=>[6,8,2,1,4,3,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[4,2,8,6,7,1,3,5]=>[5,7,1,3,2,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[6,1,2,4,7,3,5,8]=>[3,8,7,5,2,6,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[5,3,1,6,4,7,2,8]=>[4,6,8,3,5,2,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[1,2,4,5,8,7,3,6]=>[8,7,5,4,1,2,6,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[1,3,4,7,5,8,6,2]=>[8,6,5,2,4,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,5,2,3,7,8,6,4]=>[8,4,7,6,2,1,3,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[5,6,1,4,8,3,2,7]=>[4,3,8,5,1,6,7,2]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[3,6,4,1,7,2,8,5]=>[6,3,5,8,2,7,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,4,1,3,7,8,6,5]=>[7,5,8,6,2,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[2,6,1,5,7,8,4,3]=>[7,3,8,4,2,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,7,4,8,1,2,6,3]=>[4,2,5,1,8,7,3,6]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[3,7,5,6,8,2,4,1]=>[6,2,4,3,1,7,5,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,5,4,7,2,6,3,8]=>[8,4,5,2,7,3,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[2,4,5,8,3,1,7,6]=>[7,5,4,1,6,8,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[1,4,7,5,8,3,6,2]=>[8,5,2,4,1,6,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[2,6,8,7,3,5,1,4]=>[7,3,1,2,6,4,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[1,3,6,2,5,8,7,4]=>[8,6,3,7,4,1,2,5]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[5,8,7,1,4,6,3,2]=>[4,1,2,8,5,3,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[6,2,5,1,3,4,8,7]=>[3,7,4,8,6,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[2,6,5,1,3,4,8,7]=>[7,3,4,8,6,5,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[4,6,5,1,2,7,3,8]=>[5,3,4,8,7,2,6,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,6,4,1,2,7,3,8]=>[4,3,5,8,7,2,6,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,1,5,6,2,4,3,7]=>[1,8,4,3,7,5,6,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[6,4,5,1,2,7,3,8]=>[3,5,4,8,7,2,6,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[5,4,6,1,3,2,7,8]=>[4,5,3,8,6,7,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[5,7,1,4,3,2,6,8]=>[4,2,8,5,6,7,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,6,4,1,3,7,5,8]=>[7,3,5,8,6,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[7,5,4,3,8,6,1,2]=>[2,4,5,6,1,3,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[5,8,2,3,7,1,4,6]=>[4,1,7,6,2,8,5,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[2,7,4,3,1,8,6,5]=>[7,2,5,6,8,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[7,8,5,3,2,1,6,4]=>[2,1,4,6,7,8,3,5]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[1,5,8,3,4,2,6,7]=>[8,4,1,6,5,7,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[7,1,6,5,2,4,8,3]=>[2,8,3,4,7,5,1,6]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[5,1,3,8,2,6,7,4]=>[4,8,6,1,7,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[1,2,6,7,8,4,5,3]=>[8,7,3,2,1,5,4,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[6,1,4,8,2,7,5,3]=>[3,8,5,1,7,2,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[7,4,8,1,2,5,3,6]=>[2,5,1,8,7,4,6,3]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[6,2,8,1,5,4,3,7]=>[3,7,1,8,4,5,6,2]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[1,3,5,6,8,2,7,4]=>[8,6,4,3,1,7,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,6,4,1,3,2,5,8]=>[2,3,5,8,6,7,4,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[3,4,5,7,1,6,8,2]=>[6,5,4,2,8,3,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[5,2,3,7,1,8,4,6]=>[4,7,6,2,8,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,5,4,8,2,1,6,7]=>[6,4,5,1,7,8,3,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[7,2,3,1,8,4,6,5]=>[2,7,6,8,1,5,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[1,8,6,7,4,3,2,5]=>[8,1,3,2,5,6,7,4]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[2,5,3,1,4,8,7,6]=>[7,4,6,8,5,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[5,4,1,7,3,2,8,6]=>[4,5,8,2,6,7,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[7,3,4,5,1,8,6,2]=>[2,6,5,4,8,1,3,7]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[1,5,6,7,4,8,2,3]=>[8,4,3,2,5,1,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[7,8,1,5,4,3,2,6]=>[2,1,8,4,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[3,1,4,7,2,6,5,8]=>[6,8,5,2,7,3,4,1]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,5,2,7,6,3,1,8]=>[5,4,7,2,3,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[4,5,2,1,7,6,3,8]=>[5,4,7,8,2,3,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[2,7,5,1,3,6,4,8]=>[7,2,4,8,6,3,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,6,1,7,8,3,2,4]=>[4,3,8,2,1,6,7,5]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[6,7,3,4,8,2,1,5]=>[3,2,6,5,1,7,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[1,7,3,2,8,6,5,4]=>[8,2,6,7,1,3,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[6,2,8,7,1,5,3,4]=>[3,7,1,2,8,4,6,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[5,1,8,7,3,4,6,2]=>[4,8,1,2,6,5,3,7]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[8,1,5,7,3,4,6,2]=>[1,8,4,2,6,5,3,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[5,8,2,7,6,3,1,4]=>[4,1,7,2,3,6,8,5]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[2,8,4,7,6,3,1,5]=>[7,1,5,2,3,6,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[1,4,8,7,6,3,2,5]=>[8,5,1,2,3,6,7,4]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,3,1,5,6,7,4,2]=>[1,6,8,4,3,2,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[2,5,1,6,8,7,4,3]=>[7,4,8,3,1,2,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[4,5,8,7,1,6,2,3]=>[5,4,1,2,8,3,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[3,2,6,1,8,7,5,4]=>[6,7,3,8,1,2,4,5]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,3,5,8,6,7,4,2]=>[8,6,4,1,3,2,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>[4,2,2]
[1,8,2,4,6,7,5,3]=>[8,1,7,5,3,2,4,6]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[1,4,7,3,8,5,6,2]=>[8,5,2,6,1,4,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[1,4,7,8,2,5,6,3]=>[8,5,2,1,7,4,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,3,7,8,1,5,6,4]=>[7,6,2,1,8,4,3,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[2,5,1,8,4,7,6,3]=>[7,4,8,1,5,2,3,6]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[2,1,7,4,8,6,5,3]=>[7,8,2,5,1,3,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[1,7,3,8,4,2,6,5]=>[8,2,6,1,5,7,3,4]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[2,3,7,1,8,6,5,4]=>[7,6,2,8,1,3,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,4,2,8,1,7,6,5]=>[6,5,7,1,8,2,3,4]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,4,5,8,1,7,6,3]=>[7,5,4,1,8,2,3,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[2,3,8,5,1,7,6,4]=>[7,6,1,4,8,2,3,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,8,3,5,2,7,6,4]=>[8,1,6,4,7,2,3,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,1,8,2,6,7,5,4]=>[6,8,1,7,3,2,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[3,1,7,2,8,6,5,4]=>[6,8,2,7,1,3,4,5]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[2,6,8,1,4,3,7,5]=>[7,3,1,8,5,6,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[4,1,8,2,6,7,3,5]=>[5,8,1,7,3,2,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[1,6,5,2,8,7,3,4]=>[8,3,4,7,1,2,6,5]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[2,6,1,5,8,7,3,4]=>[7,3,8,4,1,2,6,5]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[8,1,7,3,5,2,4,6]=>[1,8,2,6,4,7,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,3,4,8,6,2,5,1]=>[2,6,5,1,3,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[5,7,1,4,3,2,8,6]=>[4,2,8,5,6,7,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[6,3,4,8,2,7,1,5]=>[3,6,5,1,7,2,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[5,8,6,4,3,2,7,1]=>[4,1,3,5,6,7,2,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[5,8,7,4,3,2,6,1]=>[4,1,2,5,6,7,3,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[6,1,5,4,7,8,3,2]=>[3,8,4,5,2,1,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[8,1,5,4,6,3,2,7]=>[1,8,4,5,3,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[3,8,5,4,2,7,6,1]=>[6,1,4,5,7,2,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[5,6,2,4,8,1,7,3]=>[4,3,7,5,1,8,2,6]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[7,6,5,3,1,4,8,2]=>[2,3,4,6,8,5,1,7]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,6,2,4,5,8,7,3]=>[8,3,7,5,4,1,2,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[3,6,8,4,1,5,7,2]=>[6,3,1,5,8,4,2,7]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[2,6,1,4,5,7,8,3]=>[7,3,8,5,4,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[1,8,2,6,3,5,7,4]=>[8,1,7,3,6,4,2,5]=>[[1,3,5,8],[2],[4],[6],[7]]=>[2,2,3,1]
[1,4,2,8,3,5,7,6]=>[8,5,7,1,6,4,2,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[7,6,5,2,1,3,8,4]=>[2,3,4,7,8,6,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,6,2,4,8,3,7,5]=>[8,3,7,5,1,6,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[7,1,2,8,3,4,6,5]=>[2,8,7,1,6,5,3,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[7,6,3,8,4,1,2,5]=>[2,3,6,1,5,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[1,3,6,2,7,5,8,4]=>[8,6,3,7,2,4,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[6,7,1,8,4,2,5,3]=>[3,2,8,1,5,7,4,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[7,1,8,6,4,2,5,3]=>[2,8,1,3,5,7,4,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[1,3,5,2,8,6,7,4]=>[8,6,4,7,1,3,2,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,3,8,5,6,2,7,4]=>[8,6,1,4,3,7,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[1,8,5,4,6,2,7,3]=>[8,1,4,5,3,7,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[6,5,2,1,3,8,7,4]=>[3,4,7,8,6,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,4,2,3,7,6,1,5]=>[1,5,7,6,2,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,7,8,1,2,4,3,6]=>[4,2,1,8,7,5,6,3]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,5,7,4,1,3,2,8]=>[3,4,2,5,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[7,1,6,8,2,5,4,3]=>[2,8,3,1,7,4,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[4,8,3,6,1,5,2,7]=>[5,1,6,3,8,4,7,2]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[7,3,4,2,8,1,5,6]=>[2,6,5,7,1,8,4,3]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,1,4,3,5,8,2,6]=>[2,8,5,6,4,1,7,3]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,5,6,3,7,4,1,2]=>[1,4,3,6,2,5,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[7,4,6,3,8,1,5,2]=>[2,5,3,6,1,8,4,7]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[7,4,8,3,6,2,1,5]=>[2,5,1,6,3,7,8,4]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[4,6,8,2,5,1,7,3]=>[5,3,1,7,4,8,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[6,8,4,2,3,7,1,5]=>[3,1,5,7,6,2,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[6,4,8,2,3,7,1,5]=>[3,5,1,7,6,2,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[6,8,4,2,7,1,3,5]=>[3,1,5,7,2,8,6,4]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,2,4,6,7,5,1,3]=>[1,7,5,3,2,4,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,2,6,7,1,4,3,5]=>[1,7,3,2,8,5,6,4]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[6,8,2,4,1,7,3,5]=>[3,1,7,5,8,2,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[8,6,2,4,1,7,3,5]=>[1,3,7,5,8,2,6,4]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[3,7,2,6,1,5,8,4]=>[6,2,7,3,8,4,1,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,6,2,1,8,4,5,3]=>[2,3,7,8,1,5,4,6]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[3,1,5,6,4,8,2,7]=>[6,8,4,3,5,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,7,4,8,6,3,5,1]=>[7,2,5,1,3,6,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[8,5,1,3,6,7,4,2]=>[1,4,8,6,3,2,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[2,5,4,7,6,1,3,8]=>[7,4,5,2,3,8,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[5,2,3,7,6,1,4,8]=>[4,7,6,2,3,8,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[4,2,3,7,6,1,5,8]=>[5,7,6,2,3,8,4,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[5,6,2,3,8,4,7,1]=>[4,3,7,6,1,5,2,8]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[5,6,2,3,1,7,8,4]=>[4,3,7,6,8,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[5,7,2,3,4,1,6,8]=>[4,2,7,6,5,8,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[6,5,2,3,1,7,8,4]=>[3,4,7,6,8,2,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[7,5,2,1,4,6,8,3]=>[2,4,7,8,5,3,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,5,2,3,1,6,4,7]=>[1,4,7,6,8,3,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,5,2,7,3,4,6,1]=>[1,4,7,2,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[5,7,2,1,4,6,8,3]=>[4,2,7,8,5,3,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[4,2,3,8,1,7,5,6]=>[5,7,6,1,8,2,4,3]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[5,1,3,8,4,6,7,2]=>[4,8,6,1,5,3,2,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[5,1,3,2,6,7,8,4]=>[4,8,6,7,3,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[5,1,3,4,2,7,6,8]=>[4,8,6,5,7,2,3,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,1,3,4,2,7,5,8]=>[3,8,6,5,7,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[1,9,8,10,7,6,5,4,3,2]=>[10,2,3,1,4,5,6,7,8,9]=>[[1,3,5,6,7,8,9,10],[2],[4]]=>[2,2,6]
[3,7,2,8,1,4,5,6]=>[6,2,7,1,8,5,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[5,2,3,7,4,6,1,8]=>[4,7,6,2,5,3,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[2,8,7,5,1,3,4,6]=>[7,1,2,4,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[2,1,10,3,4,5,6,7,8,9]=>[9,10,1,8,7,6,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>[3,7]
[7,5,2,6,1,8,3,4]=>[2,4,7,3,8,1,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,5,3,4,2,1,8,6]=>[2,4,6,5,7,8,1,3]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[5,2,1,3,6,7,8,4]=>[4,7,8,6,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[7,5,2,6,1,8,4,3]=>[2,4,7,3,8,1,5,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[7,5,6,8,1,2,4,3]=>[2,4,3,1,8,7,5,6]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[7,5,6,2,8,1,4,3]=>[2,4,3,7,1,8,5,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[1,5,4,6,2,8,7,3]=>[8,4,5,3,7,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[6,2,1,5,8,4,7,3]=>[3,7,8,4,1,5,2,6]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[8,3,7,5,1,4,2,6]=>[1,6,2,4,8,5,7,3]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[5,4,1,8,6,2,3,7]=>[4,5,8,1,3,7,6,2]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[5,4,1,7,6,2,3,8]=>[4,5,8,2,3,7,6,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[8,3,2,6,4,5,1,7]=>[1,6,7,3,5,4,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,5,6,2,7,1,3,4]=>[1,4,3,7,2,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[8,4,7,2,6,5,1,3]=>[1,5,2,7,3,4,8,6]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[8,1,2,3,6,4,7,5]=>[1,8,7,6,3,5,2,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[4,3,7,5,1,6,2,8]=>[5,6,2,4,8,3,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[4,6,3,5,2,7,8,1]=>[5,3,6,4,7,2,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,3,1,4,6,7,8,2]=>[4,6,8,5,3,2,1,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[4,6,7,1,3,5,8,2]=>[5,3,2,8,6,4,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[5,6,1,3,4,7,2,8]=>[4,3,8,6,5,2,7,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[2,5,3,7,8,4,6,1]=>[7,4,6,2,1,5,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[3,6,2,4,1,7,5,8]=>[6,3,7,5,8,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[3,2,6,7,4,8,5,1]=>[6,7,3,2,5,1,4,8]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[7,1,3,8,4,5,2,6]=>[2,8,6,1,5,4,7,3]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[7,1,8,3,4,6,2,5]=>[2,8,1,6,5,3,7,4]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[4,2,6,1,5,7,3,8]=>[5,7,3,8,4,2,6,1]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[2,5,4,1,3,6,7,8]=>[7,4,5,8,6,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[6,7,4,3,1,5,8,2]=>[3,2,5,6,8,4,1,7]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[8,2,5,6,7,3,1,4]=>[1,7,4,3,2,6,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[6,3,4,1,7,8,2,5]=>[3,6,5,8,2,1,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[6,8,1,5,3,4,2,7]=>[3,1,8,4,6,5,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,2,8,3,4,7,1,5]=>[3,7,1,6,5,2,8,4]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[[1,3,5,7],[2,4,6],[8]]=>[2,2,2,2]
[4,5,8,2,3,7,1,6]=>[5,4,1,7,6,2,8,3]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[6,8,1,5,4,2,3,7]=>[3,1,8,4,5,7,6,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[6,2,4,7,3,1,5,8]=>[3,7,5,2,6,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[4,7,2,5,1,6,8,3]=>[5,2,7,4,8,3,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[3,1,4,5,8,2,7,6]=>[6,8,5,4,1,7,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[6,2,3,8,4,7,1,5]=>[3,7,6,1,5,2,8,4]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[6,5,4,7,2,8,3,1]=>[3,4,5,2,7,1,6,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[7,5,2,1,6,3,4,8]=>[2,4,7,8,3,6,5,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[6,3,1,7,4,2,5,8]=>[3,6,8,2,5,7,4,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[8,7,2,1,5,3,6,4]=>[1,2,7,8,4,6,3,5]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[7,2,8,1,5,6,4,3]=>[2,7,1,8,4,3,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[8,3,6,4,1,5,7,2]=>[1,6,3,5,8,4,2,7]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,5,6,1,4,8,2,3]=>[2,4,3,8,5,1,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[6,8,1,3,2,7,5,4]=>[3,1,8,6,7,2,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[5,7,3,6,4,1,2,8]=>[4,2,6,3,5,8,7,1]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[7,2,4,3,8,1,5,6]=>[2,7,5,6,1,8,4,3]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,8,2,6,7,4,3,1]=>[4,1,7,3,2,5,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[8,2,5,7,3,4,6,1]=>[1,7,4,2,6,5,3,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[6,2,5,8,1,7,3,4]=>[3,7,4,1,8,2,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[6,1,2,4,3,5,7,8]=>[3,8,7,5,6,4,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[4,4]
[8,5,6,1,4,2,7,3]=>[1,4,3,8,5,7,2,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[1,7,6,8,4,3,2,5]=>[8,2,3,1,5,6,7,4]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[6,4,5,7,1,3,2,8]=>[3,5,4,2,8,6,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[6,1,2,4,3,5,8,7]=>[3,8,7,5,6,4,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[6,1,2,4,3,7,5,8]=>[3,8,7,5,6,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[4,6,1,3,7,8,5,2]=>[5,3,8,6,2,1,4,7]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[8,4,1,5,2,6,7,3]=>[1,5,8,4,7,3,2,6]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,1,2,4,3,5,8,6]=>[2,8,7,5,6,4,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[5,6,8,4,7,1,3,2]=>[4,3,1,5,2,8,6,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[6,3,5,2,7,1,4,8]=>[3,6,4,7,2,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,5,2,6,7,1,4,3]=>[1,4,7,3,2,8,5,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[6,8,7,2,4,1,5,3]=>[3,1,2,7,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[5,3,8,7,1,4,2,6]=>[4,6,1,2,8,5,7,3]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,8,7,5,4,3,2,6]=>[8,1,2,4,5,6,7,3]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[3,1,4,7,6,2,5,8]=>[6,8,5,2,3,7,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[2,7,1,4,6,3,5,8]=>[7,2,8,5,3,6,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[6,1,5,8,2,7,4,3]=>[3,8,4,1,7,2,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[7,1,2,3,6,4,5,8]=>[2,8,7,6,3,5,4,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[6,3,1,8,5,4,7,2]=>[3,6,8,1,4,5,2,7]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[3,1,8,7,5,4,6,2]=>[6,8,1,2,4,5,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[1,8,3,7,5,4,6,2]=>[8,1,6,2,4,5,3,7]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[6,1,3,8,7,4,5,2]=>[3,8,6,1,2,5,4,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[5,6,1,3,7,4,8,2]=>[4,3,8,6,2,5,1,7]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[1,6,3,8,5,4,7,2]=>[8,3,6,1,4,5,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[8,2,5,6,1,3,7,4]=>[1,7,4,3,8,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[2,8,4,6,5,1,7,3]=>[7,1,5,3,4,8,2,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[7,4,1,3,6,5,2,8]=>[2,5,8,6,3,4,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,3,4,7,1,8,2,6]=>[4,6,5,2,8,1,7,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[7,8,1,6,4,3,2,5]=>[2,1,8,3,5,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[8,5,1,7,6,3,2,4]=>[1,4,8,2,3,6,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[6,8,7,2,1,3,5,4]=>[3,1,2,7,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[5,7,2,8,1,3,6,4]=>[4,2,7,1,8,6,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[7,6,8,3,1,5,2,4]=>[2,3,1,6,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[3,1,4,8,2,7,6,5]=>[6,8,5,1,7,2,3,4]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[5,4,1,2,6,3,8,7]=>[4,5,8,7,3,6,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[3,8,4,6,1,2,7,5]=>[6,1,5,3,8,7,2,4]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[6,3,1,4,8,7,2,5]=>[3,6,8,5,1,2,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[6,5,1,4,7,3,2,8]=>[3,4,8,5,2,6,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[8,4,5,1,7,3,2,6]=>[1,5,4,8,2,6,7,3]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[2,7,8,4,1,3,6,5]=>[7,2,1,5,8,6,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[2,4,6,7,5,8,1,3]=>[7,5,3,2,4,1,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[2,4,5,6,3,8,1,7]=>[7,5,4,3,6,1,8,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[1,8,6,3,4,7,5,2]=>[8,1,3,6,5,2,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[8,6,5,1,4,2,7,3]=>[1,3,4,8,5,7,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,6,3,5,8,4,7,2]=>[8,3,6,4,1,5,2,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[5,2,8,3,4,1,6,7]=>[4,7,1,6,5,8,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[3,6,4,1,2,7,8,5]=>[6,3,5,8,7,2,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[4,1,7,3,8,6,2,5]=>[5,8,2,6,1,3,7,4]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[6,1,8,5,4,3,2,7]=>[3,8,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[5,3,6,4,1,8,2,7]=>[4,6,3,5,8,1,7,2]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[8,4,1,2,5,3,7,6]=>[1,5,8,7,4,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[1,5,2,7,6,8,4,3]=>[8,4,7,2,3,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[8,1,5,6,2,7,3,4]=>[1,8,4,3,7,2,6,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[6,5,2,8,1,3,7,4]=>[3,4,7,1,8,6,2,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[4,5,2,1,6,3,7,8]=>[5,4,7,8,3,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[8,2,1,5,4,6,7,3]=>[1,7,8,4,5,3,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[7,2,5,4,1,6,8,3]=>[2,7,4,5,8,3,1,6]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[5,7,6,4,3,1,2,8]=>[4,2,3,5,6,8,7,1]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[4,6,8,7,1,3,2,5]=>[5,3,1,2,8,6,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[4,7,6,8,3,1,2,5]=>[5,2,3,1,6,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[1,7,8,6,3,5,2,4]=>[8,2,1,3,6,4,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[4,8,2,7,6,5,1,3]=>[5,1,7,2,3,4,8,6]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[7,4,2,8,6,5,1,3]=>[2,5,7,1,3,4,8,6]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[7,5,8,2,1,6,4,3]=>[2,4,1,7,8,3,5,6]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[2,6,4,8,5,7,3,1]=>[7,3,5,1,4,2,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[6,3,1,4,5,8,2,7]=>[3,6,8,5,4,1,7,2]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[4,8,7,1,3,2,6,5]=>[5,1,2,8,6,7,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[5,8,7,4,6,1,3,2]=>[4,1,2,5,3,8,6,7]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[8,1,5,7,4,2,6,3]=>[1,8,4,2,5,7,3,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[5,8,7,3,4,1,6,2]=>[4,1,2,6,5,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,6,5,8,3,1,4,7]=>[7,3,4,1,6,8,5,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[6,7,8,2,4,5,3,1]=>[3,2,1,7,5,4,6,8]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[8,3,6,4,2,7,1,5]=>[1,6,3,5,7,2,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[5,4,3,7,6,1,8,2]=>[4,5,6,2,3,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[4,1,7,8,2,5,6,3]=>[5,8,2,1,7,4,3,6]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[3,4,6,7,1,5,8,2]=>[6,5,3,2,8,4,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[6,1,3,4,7,8,2,5]=>[3,8,6,5,2,1,7,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[2,5,3,6,7,8,1,4]=>[7,4,6,3,2,1,8,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[1,5,6,2,7,8,4,3]=>[8,4,3,7,2,1,5,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[5,1,8,4,3,7,6,2]=>[4,8,1,5,6,2,3,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[5,2,4,1,6,7,3,8]=>[4,7,5,8,3,2,6,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,2,1,3,6,7,5,4]=>[1,7,8,6,3,2,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[4,2,1,8,6,7,5,3]=>[5,7,8,1,3,2,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,5,7,1,2,4,8,3]=>[3,4,2,8,7,5,1,6]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[2,3,7,5,8,1,4,6]=>[7,6,2,4,1,8,5,3]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[3,2,8,5,6,1,4,7]=>[6,7,1,4,3,8,5,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[2,5,4,7,3,8,1,6]=>[7,4,5,2,6,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[6,3,5,8,7,4,2,1]=>[3,6,4,1,2,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[4,8,2,7,6,3,1,5]=>[5,1,7,2,3,6,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[4,1,3,5,6,8,2,7]=>[5,8,6,4,3,1,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[1,4,8,2,7,5,6,3]=>[8,5,1,7,2,4,3,6]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[2,4,1,8,3,7,6,5]=>[7,5,8,1,6,2,3,4]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[6,8,1,4,5,2,7,3]=>[3,1,8,5,4,7,2,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[3,6,1,8,5,7,2,4]=>[6,3,8,1,4,2,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[3,2,4,5,8,1,6,7]=>[6,7,5,4,1,8,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[1,4,7,8,2,5,3,6]=>[8,5,2,1,7,4,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[3,7,5,1,6,2,8,4]=>[6,2,4,8,3,7,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[4,8,3,7,6,2,1,5]=>[5,1,6,2,3,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[1,4,7,6,3,8,2,5]=>[8,5,2,3,6,1,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,3,6,8,2,4,7,5]=>[8,6,3,1,7,5,2,4]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[6,8,3,7,4,2,1,5]=>[3,1,6,2,5,7,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[1,6,7,4,3,8,2,5]=>[8,3,2,5,6,1,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[7,3,1,6,5,2,8,4]=>[2,6,8,3,4,7,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[6,1,8,5,4,2,7,3]=>[3,8,1,4,5,7,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[4,6,1,8,5,2,7,3]=>[5,3,8,1,4,7,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[4,8,5,1,6,2,7,3]=>[5,1,4,8,3,7,2,6]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[5,7,3,1,6,2,8,4]=>[4,2,6,8,3,7,1,5]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[1,5,8,2,6,3,7,4]=>[8,4,1,7,3,6,2,5]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[5,6,3,1,7,2,8,4]=>[4,3,6,8,2,7,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[4,6,1,7,2,8,5,3]=>[5,3,8,2,7,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,4,3,8,7,5,1,6]=>[7,5,6,1,2,4,8,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[2,8,1,3,4,7,6,5]=>[7,1,8,6,5,2,3,4]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[7,8,6,2,1,5,4,3]=>[2,1,3,7,8,4,5,6]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[2,1,3,7,5,8,6,4]=>[7,8,6,2,4,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[8,6,2,7,3,5,1,4]=>[1,3,7,2,6,4,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[2,8,6,1,3,7,5,4]=>[7,1,3,8,6,2,4,5]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[7,8,6,2,4,5,1,3]=>[2,1,3,7,5,4,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,1,7,3,6,5,2,4]=>[1,8,2,6,3,4,7,5]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,6,4,7,3,8,5,2]=>[8,3,5,2,6,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,4,5,6,7,8,2,1,9]=>[7,6,5,4,3,2,8,9,1]=>[[1,7,8],[2],[3],[4],[5],[6],[9]]=>[6,3]
[3,4,5,6,7,8,9,2,1,10]=>[8,7,6,5,4,3,2,9,10,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7],[10]]=>[7,3]
[3,6,5,7,1,2,4,8]=>[6,3,4,2,8,7,5,1]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[6,7,2,1,4,8,5,3]=>[3,2,7,8,5,1,4,6]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[2,6,4,8,5,7,1,3]=>[7,3,5,1,4,2,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[6,4,2,5,8,7,1,3]=>[3,5,7,4,1,2,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,5,4,1,6,3,7,2]=>[1,4,5,8,3,6,2,7]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,8,6,3,4,5,7,2]=>[8,1,3,6,5,4,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[8,2,7,3,6,5,1,4]=>[1,7,2,6,3,4,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[7,2,8,6,1,4,5,3]=>[2,7,1,3,8,5,4,6]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[5,2,7,3,4,8,6,1]=>[4,7,2,6,5,1,3,8]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[5,7,3,2,4,8,6,1]=>[4,2,6,7,5,1,3,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[2,6,8,5,4,3,1,7]=>[7,3,1,4,5,6,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[2,8,4,6,3,5,1,7]=>[7,1,5,3,6,4,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,7,8,3,6,4,5,1]=>[7,2,1,6,3,5,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[8,3,1,4,2,5,6,7]=>[1,6,8,5,7,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[3,8,1,4,6,5,2,7]=>[6,1,8,5,3,4,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,6,1,8,5,3,2,7]=>[5,3,8,1,4,6,7,2]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[3,8,5,2,1,6,4,7]=>[6,1,4,7,8,3,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[8,5,2,6,3,4,7,1]=>[1,4,7,3,6,5,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,3,6,1,2,7,4,5]=>[1,6,3,8,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[3,7,6,2,1,8,5,4]=>[6,2,3,7,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[7,6,2,4,8,5,1,3]=>[2,3,7,5,1,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,7,5,2,1,4,3,6]=>[1,2,4,7,8,5,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[5,7,2,1,6,3,4,8]=>[4,2,7,8,3,6,5,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[5,7,2,6,8,3,4,1]=>[4,2,7,3,1,6,5,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[7,3,4,5,2,8,6,1]=>[2,6,5,4,7,1,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,8,5,2,6,3,7,1]=>[5,1,4,7,3,6,2,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[8,7,2,5,6,4,1,3]=>[1,2,7,4,3,5,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[7,1,5,6,8,4,2,3]=>[2,8,4,3,1,5,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,1,2,5,6,4,7,3]=>[1,8,7,4,3,5,2,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[2,8,5,1,6,3,7,4]=>[7,1,4,8,3,6,2,5]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[7,6,1,3,5,4,2,8]=>[2,3,8,6,4,5,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[8,5,2,7,3,6,4,1]=>[1,4,7,2,6,3,5,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[3,6,4,1,8,2,5,7]=>[6,3,5,8,1,7,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[8,7,6,2,4,5,1,3]=>[1,2,3,7,5,4,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,7,6,2,4,5,3,1]=>[1,2,3,7,5,4,6,8]=>[[1,2,3,4,7,8],[5],[6]]=>[6,2]
[5,4,8,7,1,2,6,3]=>[4,5,1,2,8,7,3,6]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[8,1,2,6,5,4,7,3]=>[1,8,7,3,4,5,2,6]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[2,5,6,4,3,8,1,7]=>[7,4,3,5,6,1,8,2]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[8,7,3,5,2,6,1,4]=>[1,2,6,4,7,3,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,7,3,5,2,4,6,1]=>[1,2,6,4,7,5,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,4,2,7,6,5,1,3]=>[1,5,7,2,3,4,8,6]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[4,6,3,8,5,2,7,1]=>[5,3,6,1,4,7,2,8]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[5,2,8,3,1,6,7,4]=>[4,7,1,6,8,3,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[6,8,3,4,2,1,5,7]=>[3,1,6,5,7,8,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[1,2,6,5,7,3,4,8]=>[8,7,3,4,2,6,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[7,8,6,5,1,3,4,2]=>[2,1,3,4,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[2,6,7,1,4,3,8,5]=>[7,3,2,8,5,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[5,7,6,2,1,8,3,4]=>[4,2,3,7,8,1,6,5]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[7,2,5,1,6,3,8,4]=>[2,7,4,8,3,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]
[6,8,3,5,1,2,7,4]=>[3,1,6,4,8,7,2,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[4,5,2,8,3,7,1,6]=>[5,4,7,1,6,2,8,3]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[7,8,5,1,6,4,3,2]=>[2,1,4,8,3,5,6,7]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[8,7,5,1,6,4,3,2]=>[1,2,4,8,3,5,6,7]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[4,6,8,3,2,1,7,5]=>[5,3,1,6,7,8,2,4]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[4,6,8,3,5,1,2,7]=>[5,3,1,6,4,8,7,2]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[4,6,7,3,5,2,1,8]=>[5,3,2,6,4,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,4,2,6,1,7,3,8]=>[4,5,7,3,8,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,2,6,3,4,8,1,5]=>[2,7,3,6,5,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[2,5,1,3,4,8,7,6]=>[7,4,8,6,5,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,5,2,6,8,7,3,1]=>[5,4,7,3,1,2,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[4,7,6,3,1,5,2,8]=>[5,2,3,6,8,4,7,1]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[1,7,6,3,8,5,2,4]=>[8,2,3,6,1,4,7,5]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[2,7,3,1,4,5,6,8]=>[7,2,6,8,5,4,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[1,3,8,7,4,5,6,2]=>[8,6,1,2,5,4,3,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[7,3,1,8,4,5,6,2]=>[2,6,8,1,5,4,3,7]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[3,2,8,7,4,5,6,1]=>[6,7,1,2,5,4,3,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[6,2,4,3,7,5,8,1]=>[3,7,5,6,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[3,8,2,1,5,7,6,4]=>[6,1,7,8,4,2,3,5]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[1,8,3,2,5,7,6,4]=>[8,1,6,7,4,2,3,5]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,3,2,8,7,4,6,5]=>[8,6,7,1,2,5,3,4]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[3,8,2,1,7,4,6,5]=>[6,1,7,8,2,5,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[7,5,2,8,3,1,6,4]=>[2,4,7,1,6,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[4,6,7,3,2,5,1,8]=>[5,3,2,6,7,4,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,8,4,7,3,5,6,2]=>[8,1,5,2,6,4,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,7,2,1,3,8,6,4]=>[4,2,7,8,6,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[4,6,3,7,8,1,2,5]=>[5,3,6,2,1,8,7,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[4,6,2,7,1,5,8,3]=>[5,3,7,2,8,4,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[2,7,5,4,1,6,8,3]=>[7,2,4,5,8,3,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[6,8,5,4,7,1,2,3]=>[3,1,4,5,2,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,3,5,4,7,1,2,6]=>[1,6,4,5,2,8,7,3]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[6,2,5,4,8,7,3,1]=>[3,7,4,5,1,2,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[6,2,5,4,1,7,8,3]=>[3,7,4,5,8,2,1,6]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[8,2,5,1,3,6,7,4]=>[1,7,4,8,6,3,2,5]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,1,6,4,3,2,7,5]=>[1,8,3,5,6,7,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[5,1,8,4,3,2,7,6]=>[4,8,1,5,6,7,2,3]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[4,1,5,6,3,8,7,2]=>[5,8,4,3,6,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[8,5,1,6,3,2,4,7]=>[1,4,8,3,6,7,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,8,7,4,3,2,5,1]=>[3,1,2,5,6,7,4,8]=>[[1,3,4,5,6,8],[2,7]]=>[2,5,1]
[1,7,8,4,3,2,5,6]=>[8,2,1,5,6,7,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[1,8,6,4,3,2,5,7]=>[8,1,3,5,6,7,4,2]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[8,1,6,5,3,2,4,7]=>[1,8,3,4,6,7,5,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[8,2,1,4,5,6,3,7]=>[1,7,8,5,4,3,6,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,1,5,4,6,7,3,2]=>[1,8,4,5,3,2,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[2,8,5,6,3,7,4,1]=>[7,1,4,3,6,2,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[5,6,8,3,1,2,4,7]=>[4,3,1,6,8,7,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[2,8,5,1,3,7,6,4]=>[7,1,4,8,6,2,3,5]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[2,4,5,8,3,7,6,1]=>[7,5,4,1,6,2,3,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[8,3,5,4,1,7,6,2]=>[1,6,4,5,8,2,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[8,2,3,4,1,6,5,7]=>[1,7,6,5,8,3,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[8,1,4,6,3,2,5,7]=>[1,8,5,3,6,7,4,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[5,6,4,1,8,2,7,3]=>[4,3,5,8,1,7,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[6,4,5,1,3,8,7,2]=>[3,5,4,8,6,1,2,7]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[1,3,8,7,2,5,6,4]=>[8,6,1,2,7,4,3,5]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,5,4,1,8,3,7,6]=>[7,4,5,8,1,6,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[5,1,4,8,3,7,6,2]=>[4,8,5,1,6,2,3,7]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[8,4,1,2,7,6,5,3]=>[1,5,8,7,2,3,4,6]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[1,8,7,3,4,6,5,2]=>[8,1,2,6,5,3,4,7]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[10,9,7,5,3,1,2,4,6,8]=>[1,2,4,6,8,10,9,7,5,3]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10]
[5,3,1,2,4,6,8,7]=>[4,6,8,7,5,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[8,5,7,3,1,2,4,6]=>[1,4,2,6,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[2,5,8,4,1,3,6,7]=>[7,4,1,5,8,6,3,2]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[5,1,3,2,8,4,6,7]=>[4,8,6,7,1,5,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[1,5,3,7,6,4,8,2]=>[8,4,6,2,3,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[5,8,1,7,3,2,4,6]=>[4,1,8,2,6,7,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[8,7,3,6,2,1,4,5]=>[1,2,6,3,7,8,5,4]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[2,1,5,8,3,4,7,6]=>[7,8,4,1,6,5,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[3,8,5,1,2,7,4,6]=>[6,1,4,8,7,2,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[2,5,7,4,8,3,6,1]=>[7,4,2,5,1,6,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[6,3,1,5,8,2,7,4]=>[3,6,8,4,1,7,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>[5,2,1]
[5,1,2,6,8,7,4,3]=>[4,8,7,3,1,2,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[8,1,5,7,3,6,4,2]=>[1,8,4,2,6,3,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[3,1,7,6,5,2,4,8]=>[6,8,2,3,4,7,5,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,8,1,6,2,5,3,7]=>[5,1,8,3,7,4,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[1,8,4,2,5,7,3,6]=>[8,1,5,7,4,2,6,3]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,8,3,1,2,4,6,7]=>[4,1,6,8,7,5,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[8,5,3,1,4,2,6,7]=>[1,4,6,8,5,7,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[1,4,8,5,2,3,6,7]=>[8,5,1,4,7,6,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,7,5,8,6,2,3,4]=>[8,2,4,1,3,7,6,5]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[6,7,4,2,8,1,3,5]=>[3,2,5,7,1,8,6,4]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[4,7,5,6,2,8,3,1]=>[5,2,4,3,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[8,4,3,6,7,5,2,1]=>[1,5,6,3,2,4,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[6,5,1,4,7,8,2,3]=>[3,4,8,5,2,1,7,6]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,5,4,1,8,3,6,2]=>[2,4,5,8,1,6,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,1,2,8,4,6,3,5]=>[2,8,7,1,5,3,6,4]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[8,6,1,7,5,3,4,2]=>[1,3,8,2,4,6,5,7]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[1,3,7,6,4,8,2,5]=>[8,6,2,3,5,1,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[2,8,7,6,4,1,5,3]=>[7,1,2,3,5,8,4,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[8,5,1,4,7,6,3,2]=>[1,4,8,5,2,3,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[8,1,4,2,7,6,5,3]=>[1,8,5,7,2,3,4,6]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[8,5,2,4,7,6,3,1]=>[1,4,7,5,2,3,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[5,3,1,6,4,8,2,7]=>[4,6,8,3,5,1,7,2]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[2,5,6,7,1,4,8,3]=>[7,4,3,2,8,5,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[2,7,3,5,8,4,6,1]=>[7,2,6,4,1,5,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[5,2,3,6,8,4,1,7]=>[4,7,6,3,1,5,8,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[6,3,1,8,2,4,5,7]=>[3,6,8,1,7,5,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[6,3,1,8,4,5,2,7]=>[3,6,8,1,5,4,7,2]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[4,2,3,6,8,1,7,5]=>[5,7,6,3,1,8,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[7,1,3,5,8,4,6,2]=>[2,8,6,4,1,5,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[2,1,4,7,5,8,6,3]=>[7,8,5,2,4,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[8,1,4,2,7,5,6,3]=>[1,8,5,7,2,4,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,3,4,2,7,5,8,1]=>[3,6,5,7,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[6,2,7,5,8,3,4,1]=>[3,7,2,4,1,6,5,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[8,6,3,5,2,1,7,4]=>[1,3,6,4,7,8,2,5]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[6,8,3,1,2,5,4,7]=>[3,1,6,8,7,4,5,2]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[1,7,6,5,4,3,2,9,8]=>[9,3,4,5,6,7,8,1,2]=>[[1,3,4,5,6,7],[2,9],[8]]=>[2,6,1]
[4,2,6,7,1,5,8,3]=>[5,7,3,2,8,4,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[1,4,7,3,6,8,2,5]=>[8,5,2,6,3,1,7,4]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[3,7,1,4,6,8,2,5]=>[6,2,8,5,3,1,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[2,4,7,3,6,8,1,5]=>[7,5,2,6,3,1,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[5,3,7,2,6,8,1,4]=>[4,6,2,7,3,1,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,6,1,5,2,8,3,4]=>[2,3,8,4,7,1,6,5]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[3,8,6,5,7,2,1,4]=>[6,1,3,4,2,7,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,7,1,4,6,8,3,5]=>[7,2,8,5,3,1,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[5,8,1,4,2,7,3,6]=>[4,1,8,5,7,2,6,3]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,7,1,4,2,8,3,6]=>[4,2,8,5,7,1,6,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[7,3,2,1,8,4,6,5]=>[2,6,7,8,1,5,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[8,3,2,1,6,7,4,5]=>[1,6,7,8,3,2,5,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[2,3,1,6,8,7,4,5]=>[7,6,8,3,1,2,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[6,4,8,2,1,7,3,5]=>[3,5,1,7,8,2,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[2,3,1,8,7,5,6,4]=>[7,6,8,1,2,4,3,5]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[6,1,4,3,2,8,7,5]=>[3,8,5,6,7,1,2,4]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[1,5,6,7,2,4,3,8]=>[8,4,3,2,7,5,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[6,8,3,7,1,2,5,4]=>[3,1,6,2,8,7,4,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[6,8,2,1,4,7,3,5]=>[3,1,7,8,5,2,6,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[1,5,7,3,6,2,4,8]=>[8,4,2,6,3,7,5,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[6,7,4,5,1,3,8,2]=>[3,2,5,4,8,6,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[4,1,3,2,6,8,5,7]=>[5,8,6,7,3,1,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[8,7,3,2,5,4,1,6]=>[1,2,6,7,4,5,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,1,5,7,4,3,2,6]=>[1,8,4,2,5,6,7,3]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[5,6,1,2,4,8,3,7]=>[4,3,8,7,5,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[5,1,2,4,6,8,3,7]=>[4,8,7,5,3,1,6,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[8,7,4,5,1,3,2,6]=>[1,2,5,4,8,6,7,3]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,8,6,1,2,3,5,4]=>[2,1,3,8,7,6,4,5]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[6,8,7,1,2,3,5,4]=>[3,1,2,8,7,6,4,5]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[8,7,1,2,3,5,6,4]=>[1,2,8,7,6,4,3,5]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[3,2,4,6,1,8,7,5]=>[6,7,5,3,8,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[7,1,8,3,6,5,2,4]=>[2,8,1,6,3,4,7,5]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[7,4,3,8,5,1,6,2]=>[2,5,6,1,4,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,5,4,8,7,1,3,6]=>[7,4,5,1,2,8,6,3]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[5,3,6,7,2,1,4,8]=>[4,6,3,2,7,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,1,5,7,2,8,4,3]=>[3,8,4,2,7,1,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[2,6,8,1,7,4,3,5]=>[7,3,1,8,2,5,6,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[1,6,8,4,7,3,2,5]=>[8,3,1,5,2,6,7,4]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[4,5,7,2,6,3,8,1]=>[5,4,2,7,3,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,4,1,7,8,6,3,2]=>[4,5,8,2,1,3,6,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[2,3,6,8,5,7,4,1]=>[7,6,3,1,4,2,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[8,4,5,6,2,1,7,3]=>[1,5,4,3,7,8,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,1,5,7,4,6,8,3]=>[7,8,4,2,5,3,1,6]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[5,7,4,6,8,2,1,3]=>[4,2,5,3,1,7,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[5,7,1,2,3,6,8,4]=>[4,2,8,7,6,3,1,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[2,3,5,7,8,1,6,4]=>[7,6,4,2,1,8,3,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[8,2,3,5,6,4,1,7]=>[1,7,6,4,3,5,8,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[1,5,7,4,2,3,6,8]=>[8,4,2,5,7,6,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[2,4,7,5,1,3,6,8]=>[7,5,2,4,8,6,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[2,4,7,5,3,6,8,1]=>[7,5,2,4,6,3,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[4,7,1,3,6,2,5,8]=>[5,2,8,6,3,7,4,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[1,5,2,4,7,3,6,8]=>[8,4,7,5,2,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[8,1,7,2,4,6,3,5]=>[1,8,2,7,5,3,6,4]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[2,5,8,1,4,7,3,6]=>[7,4,1,8,5,2,6,3]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[4,7,1,2,5,8,3,6]=>[5,2,8,7,4,1,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[2,3,6,8,5,7,1,4]=>[7,6,3,1,4,2,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[1,2,4,7,8,6,3,5]=>[8,7,5,2,1,3,6,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[2,3,5,7,8,4,1,6]=>[7,6,4,2,1,5,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[2,4,7,8,3,5,1,6]=>[7,5,2,1,6,4,8,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[1,3,6,2,5,8,4,7]=>[8,6,3,7,4,1,5,2]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,6,2,5,8,4,7,1]=>[6,3,7,4,1,5,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[2,5,8,3,6,4,7,1]=>[7,4,1,6,3,5,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[2,5,8,1,3,6,4,7]=>[7,4,1,8,6,3,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[1,5,3,6,8,2,4,7]=>[8,4,6,3,1,7,5,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[3,5,2,4,7,8,1,6]=>[6,4,7,5,2,1,8,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[8,3,5,2,4,6,1,7]=>[1,6,4,7,5,3,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[3,6,4,7,1,2,5,8]=>[6,3,5,2,8,7,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,4,3,6,1,7,2,5]=>[1,5,6,3,8,2,7,4]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[8,4,2,1,3,7,5,6]=>[1,5,7,8,6,2,4,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[5,3,1,8,2,4,7,6]=>[4,6,8,1,7,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[1,2,6,3,7,5,8,4]=>[8,7,3,6,2,4,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[7,4,2,1,3,8,5,6]=>[2,5,7,8,6,1,4,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[3,4,1,6,5,7,8,2]=>[6,5,8,3,4,2,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[5,7,6,2,3,8,1,4]=>[4,2,3,7,6,1,8,5]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[3,1,8,7,5,2,6,4]=>[6,8,1,2,4,7,3,5]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[4,1,5,8,3,2,7,6]=>[5,8,4,1,6,7,2,3]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[4,1,7,8,3,2,6,5]=>[5,8,2,1,6,7,3,4]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[1,8,6,2,4,3,7,5]=>[8,1,3,7,5,6,2,4]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[1,8,7,2,4,3,6,5]=>[8,1,2,7,5,6,3,4]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[3,8,4,1,6,2,7,5]=>[6,1,5,8,3,7,2,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[4,8,3,1,6,2,7,5]=>[5,1,6,8,3,7,2,4]=>[[1,3,4],[2,5,6],[7,8]]=>[2,3,2,1]
[2,8,3,1,7,4,6,5]=>[7,1,6,8,2,5,3,4]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[7,3,6,8,2,1,5,4]=>[2,6,3,1,7,8,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[3,8,5,1,7,2,6,4]=>[6,1,4,8,2,7,3,5]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[6,2,7,1,5,8,4,3]=>[3,7,2,8,4,1,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[3,6,7,2,5,4,8,1]=>[6,3,2,7,4,5,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[1,4,5,6,7,8,9,3,2]=>[9,6,5,4,3,2,1,7,8]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[7,1,5,2,3,6,4,8]=>[2,8,4,7,6,3,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[4,6,1,2,8,3,7,5]=>[5,3,8,7,1,6,2,4]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[2,6,7,4,3,1,5,8]=>[7,3,2,5,6,8,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[2,3,6,7,1,5,4,8]=>[7,6,3,2,8,4,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,2,5,7,8,6,3,4]=>[8,7,4,2,1,3,6,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[1,8,2,3,5,7,6,4]=>[8,1,7,6,4,2,3,5]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[1,2,6,7,4,5,3,8]=>[8,7,3,2,5,4,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[3,2,6,7,1,4,8,5]=>[6,7,3,2,8,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,6,5,2,1,7,4,3]=>[1,3,4,7,8,2,5,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[5,7,3,2,1,8,4,6]=>[4,2,6,7,8,1,5,3]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[7,6,8,2,1,5,4,3]=>[2,3,1,7,8,4,5,6]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[7,4,1,8,5,3,2,6]=>[2,5,8,1,4,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[4,2,5,6,8,1,3,7]=>[5,7,4,3,1,8,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[8,3,2,4,7,1,6,5]=>[1,6,7,5,2,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,3,2,8,6,1,5,4]=>[2,6,7,1,3,8,4,5]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[7,5,8,2,6,1,4,3]=>[2,4,1,7,3,8,5,6]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[5,6,8,2,7,4,1,3]=>[4,3,1,7,2,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[6,4,1,2,3,5,8,7]=>[3,5,8,7,6,4,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[5,2,7,4,6,1,8,3]=>[4,7,2,5,3,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[8,2,6,3,1,4,5,7]=>[1,7,3,6,8,5,4,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[7,4,1,2,3,6,8,5]=>[2,5,8,7,6,3,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[6,2,1,4,7,3,8,5]=>[3,7,8,5,2,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[5,4,8,6,3,2,1,7]=>[4,5,1,3,6,7,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[7,2,5,6,8,4,3,1]=>[2,7,4,3,1,5,6,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[8,4,6,7,3,1,5,2]=>[1,5,3,2,6,8,4,7]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[4,6,8,5,1,2,7,3]=>[5,3,1,4,8,7,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[7,2,4,6,3,5,8,1]=>[2,7,5,3,6,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[5,2,3,1,7,6,4,8]=>[4,7,6,8,2,3,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[3,7,2,4,1,8,5,6]=>[6,2,7,5,8,1,4,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[6,2,5,7,4,8,1,3]=>[3,7,4,2,5,1,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,3,5,7,1,2,8,4]=>[3,6,4,2,8,7,1,5]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[5,2,4,6,1,8,3,7]=>[4,7,5,3,8,1,6,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[4,5,3,6,1,7,8,2]=>[5,4,6,3,8,2,1,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[4,5,2,1,7,8,6,3]=>[5,4,7,8,2,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[1,6,7,3,4,2,5,8]=>[8,3,2,6,5,7,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[1,8,7,5,3,4,2,6]=>[8,1,2,4,6,5,7,3]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[1,7,8,5,3,4,2,6]=>[8,2,1,4,6,5,7,3]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,7,6,8,4,2,3,5]=>[8,2,3,1,5,7,6,4]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[1,7,8,6,4,3,2,5]=>[8,2,1,3,5,6,7,4]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[9,8,7,6,5,2,1,3,4]=>[1,2,3,4,5,8,9,7,6]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[9,7,8,6,5,4,3,2,1]=>[1,3,2,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,6]
[3,8,7,1,2,6,4,5]=>[6,1,2,8,7,3,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,5,6,2,1,4,7,3]=>[1,4,3,7,8,5,2,6]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,8,3,2,5,1,6,4]=>[2,1,6,7,4,8,3,5]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,1,6,4,7,8,3,5]=>[7,8,3,5,2,1,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[6,3,7,4,2,1,5,8]=>[3,6,2,5,7,8,4,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,7,5,3,8,2,6,1]=>[5,2,4,6,1,7,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[2,6,4,7,8,5,3,1]=>[7,3,5,2,1,4,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,5,1,8,4,6,7,3]=>[7,4,8,1,5,3,2,6]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[5,4,1,8,3,6,2,7]=>[4,5,8,1,6,3,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[6,5,8,3,4,2,1,7]=>[3,4,1,6,5,7,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[1,3,5,8,4,6,7,2]=>[8,6,4,1,5,3,2,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[3,4,5,8,2,1,6,7]=>[6,5,4,1,7,8,3,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[6,8,7,3,2,1,4,5]=>[3,1,2,6,7,8,5,4]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[3,4,8,2,7,1,5,6]=>[6,5,1,7,2,8,4,3]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[7,2,6,1,4,8,3,5]=>[2,7,3,8,5,1,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[7,8,1,2,4,6,3,5]=>[2,1,8,7,5,3,6,4]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[7,2,8,3,4,5,1,6]=>[2,7,1,6,5,4,8,3]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[7,5,1,2,4,3,8,6]=>[2,4,8,7,5,6,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,1,8,7,2,4,6,3]=>[4,8,1,2,7,5,3,6]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[6,3,5,2,1,8,4,7]=>[3,6,4,7,8,1,5,2]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,1,5,3,8,2,4,7]=>[3,8,4,6,1,7,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[2,3,6,8,5,1,7,4]=>[7,6,3,1,4,8,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[3,2,4,8,6,1,7,5]=>[6,7,5,1,3,8,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[3,1,2,8,6,7,4,5]=>[6,8,7,1,3,2,5,4]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[1,4,5,2,3,8,7,6]=>[8,5,4,7,6,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,1,3,8,4,7,6,5]=>[7,8,6,1,5,2,3,4]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[3,1,2,8,4,5,7,6]=>[6,8,7,1,5,4,2,3]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[1,2,8,7,5,4,6,3]=>[8,7,1,2,4,5,3,6]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[4,6,7,2,3,8,1,5]=>[5,3,2,7,6,1,8,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,2,6,5,7,8,1,4]=>[6,7,3,4,2,1,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[3,1,7,5,8,6,2,4]=>[6,8,2,4,1,3,7,5]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[2,6,1,8,7,3,4,5]=>[7,3,8,1,2,6,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[2,7,1,8,6,3,4,5]=>[7,2,8,1,3,6,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[2,1,8,7,4,6,5,3]=>[7,8,1,2,5,3,4,6]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[2,7,1,8,3,4,6,5]=>[7,2,8,1,6,5,3,4]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,1,8,7,4,5,6,3]=>[7,8,1,2,5,4,3,6]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[3,7,5,2,6,4,8,1]=>[6,2,4,7,3,5,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[5,2,7,4,6,3,8,1]=>[4,7,2,5,3,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[6,1,5,8,4,7,3,2]=>[3,8,4,1,5,2,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[8,3,5,7,6,4,1,2]=>[1,6,4,2,3,5,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[2,8,5,1,6,4,3,7]=>[7,1,4,8,3,5,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,4,7,1,8,3,6,5]=>[7,5,2,8,1,6,3,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[2,5,8,3,7,1,4,6]=>[7,4,1,6,2,8,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[8,5,2,3,4,1,7,6]=>[1,4,7,6,5,8,2,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[6,5,7,1,4,8,2,3]=>[3,4,2,8,5,1,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[3,7,5,4,2,6,8,1]=>[6,2,4,5,7,3,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[8,4,1,6,5,3,7,2]=>[1,5,8,3,4,6,2,7]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[4,8,2,5,6,3,1,7]=>[5,1,7,4,3,6,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[8,4,1,5,7,6,3,2]=>[1,5,8,4,2,3,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[8,1,6,3,5,2,4,7]=>[1,8,3,6,4,7,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[4,6,2,5,3,8,1,7]=>[5,3,7,4,6,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[4,6,5,2,1,8,3,7]=>[5,3,4,7,8,1,6,2]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[5,8,4,3,6,7,2,1]=>[4,1,5,6,3,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[6,8,2,1,5,3,4,7]=>[3,1,7,8,4,6,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[2,5,3,8,6,7,4,1]=>[7,4,6,1,3,2,5,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[7,4,5,8,1,6,2,3]=>[2,5,4,1,8,3,7,6]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[4,5,8,1,6,7,3,2]=>[5,4,1,8,3,2,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[8,4,3,6,2,7,1,5]=>[1,5,6,3,7,2,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,5,3,1,2,7,4,6]=>[1,4,6,8,7,2,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[5,3,8,4,7,1,2,6]=>[4,6,1,5,2,8,7,3]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[3,5,4,8,1,2,6,7]=>[6,4,5,1,8,7,3,2]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[6,5,3,8,1,7,2,4]=>[3,4,6,1,8,2,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[2,6,8,7,1,3,4,5]=>[7,3,1,2,8,6,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[4,2,8,7,6,1,3,5]=>[5,7,1,2,3,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[8,6,1,5,3,7,2,4]=>[1,3,8,4,6,2,7,5]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,3,6,7,4,2,1,5]=>[1,6,3,2,5,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[2,6,3,7,8,1,4,5]=>[7,3,6,2,1,8,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[6,3,8,7,2,1,5,4]=>[3,6,1,2,7,8,4,5]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[7,2,8,6,3,1,5,4]=>[2,7,1,3,6,8,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[7,2,4,5,8,6,3,1]=>[2,7,5,4,1,3,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[7,2,3,6,8,5,4,1]=>[2,7,6,3,1,4,5,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[7,4,5,2,8,1,6,3]=>[2,5,4,7,1,8,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[7,5,4,2,8,1,6,3]=>[2,4,5,7,1,8,3,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[7,6,3,2,8,4,5,1]=>[2,3,6,7,1,5,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[3,1,6,7,4,5,2,8]=>[6,8,3,2,5,4,7,1]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[5,1,3,2,4,6,8,7]=>[4,8,6,7,5,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[6,4,2,5,7,3,8,1]=>[3,5,7,4,2,6,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[5,7,8,4,2,3,6,1]=>[4,2,1,5,7,6,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[6,4,5,2,8,3,7,1]=>[3,5,4,7,1,6,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[5,6,4,8,3,1,2,7]=>[4,3,5,1,6,8,7,2]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[4,7,2,6,5,3,8,1]=>[5,2,7,3,4,6,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[8,1,3,7,6,2,5,4]=>[1,8,6,2,3,7,4,5]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[2,8,3,7,6,1,5,4]=>[7,1,6,2,3,8,4,5]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[6,3,4,8,1,7,5,2]=>[3,6,5,1,8,2,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[2,4,8,7,6,1,5,3]=>[7,5,1,2,3,8,4,6]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[3,8,1,7,4,6,5,2]=>[6,1,8,2,5,3,4,7]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[8,6,1,2,4,5,3,7]=>[1,3,8,7,5,4,6,2]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[4,8,5,2,7,6,3,1]=>[5,1,4,7,2,3,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[5,8,6,2,7,1,3,4]=>[4,1,3,7,2,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[3,8,2,7,4,1,6,5]=>[6,1,7,2,5,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[1,4,8,6,2,5,7,3]=>[8,5,1,3,7,4,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[3,8,4,7,2,1,6,5]=>[6,1,5,2,7,8,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[5,3,8,1,6,4,7,2]=>[4,6,1,8,3,5,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[5,8,1,7,6,2,3,4]=>[4,1,8,2,3,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,3,8,6,4,5,1,7]=>[7,6,1,3,5,4,8,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[7,6,2,8,5,4,3,1]=>[2,3,7,1,4,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[1,7,5,2,6,8,3,4]=>[8,2,4,7,3,1,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[7,8,6,1,2,4,3,5]=>[2,1,3,8,7,5,6,4]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[5,1,7,2,4,6,3,8]=>[4,8,2,7,5,3,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[7,4,8,3,6,5,1,2]=>[2,5,1,6,3,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>[3,2,3]
[6,4,8,5,1,7,2,3]=>[3,5,1,4,8,2,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[8,6,4,3,2,7,5,1]=>[1,3,5,6,7,2,4,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[5,1,8,6,2,4,7,3]=>[4,8,1,3,7,5,2,6]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[1,5,8,2,6,4,3,7]=>[8,4,1,7,3,5,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[10,9,8,6,4,2,1,3,5,7]=>[1,2,3,5,7,9,10,8,6,4]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10]
[10,9,8,7,6,4,2,1,3,5]=>[1,2,3,4,5,7,9,10,8,6]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[10,9,8,6,5,4,2,1,3,7]=>[1,2,3,5,6,7,9,10,8,4]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[10,9,8,7,6,3,5,2,4,1]=>[1,2,3,4,5,8,6,9,7,10]=>[[1,2,3,4,5,6,8,10],[7,9]]=>[7,2,1]
[3,5,6,2,4,7,8,1]=>[6,4,3,7,5,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[3,5,7,6,8,2,4,1]=>[6,4,2,3,1,7,5,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[3,5,7,2,6,8,4,1]=>[6,4,2,7,3,1,5,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,5,2,7,6,8,4,1]=>[6,4,7,2,3,1,5,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[3,5,7,4,2,6,8,1]=>[6,4,2,5,7,3,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[3,4,5,7,2,6,8,1]=>[6,5,4,2,7,3,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[3,4,5,7,2,8,6,1]=>[6,5,4,2,7,1,3,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,5,4,7,2,8,6,1]=>[6,4,5,2,7,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[3,2,5,7,4,8,6,1]=>[6,7,4,2,5,1,3,8]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[3,5,7,8,4,2,6,1]=>[6,4,2,1,5,7,3,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[2,3,5,7,8,4,6,1]=>[7,6,4,2,1,5,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[3,5,7,8,2,6,4,1]=>[6,4,2,1,7,3,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,2,5,6,7,3,8,1]=>[5,7,4,3,2,6,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[6,1,8,4,3,5,2,7]=>[3,8,1,5,6,4,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[8,1,4,2,5,3,6,7]=>[1,8,5,7,4,6,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[2,8,4,1,5,3,6,7]=>[7,1,5,8,4,6,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[4,1,8,3,5,2,6,7]=>[5,8,1,6,4,7,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[8,3,1,2,5,4,6,7]=>[1,6,8,7,4,5,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[4,2,5,1,8,7,6,3]=>[5,7,4,8,1,2,3,6]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,4,5,7,3,8,2,6]=>[8,5,4,2,6,1,7,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[3,5,6,8,2,1,4,7]=>[6,4,3,1,7,8,5,2]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[2,4,5,8,6,3,1,7]=>[7,5,4,1,3,6,8,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>[4,4]
[5,4,8,2,3,1,7,6]=>[4,5,1,7,6,8,2,3]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,7,5,8,2,3,1,6]=>[5,2,4,1,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,6,7,5,1,8,3,2]=>[5,3,2,4,8,1,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,7,3,6,5,8,2,4]=>[8,2,6,3,4,1,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[7,3,1,8,2,6,5,4]=>[2,6,8,1,7,3,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[4,6,7,5,2,8,3,1]=>[5,3,2,4,7,1,6,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[5,8,7,2,4,3,1,6]=>[4,1,2,7,5,6,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[5,1,2,8,6,7,3,4]=>[4,8,7,1,3,2,6,5]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[2,5,7,8,6,1,4,3]=>[7,4,2,1,3,8,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,6,7,2,1,5,3,8]=>[5,3,2,7,8,4,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[8,7,1,5,4,3,2,6]=>[1,2,8,4,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>[4,4]
[1,7,6,2,4,3,8,5]=>[8,2,3,7,5,6,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[3,6,7,2,1,5,4,8]=>[6,3,2,7,8,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[5,7,1,6,2,3,4,8]=>[4,2,8,3,7,6,5,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[4,3,6,7,1,5,2,8]=>[5,6,3,2,8,4,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[8,7,4,1,5,3,6,2]=>[1,2,5,8,4,6,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[8,2,5,6,3,1,4,7]=>[1,7,4,3,6,8,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,2,1,4,3,5,6,7]=>[1,7,8,5,6,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[5,6,8,7,1,3,2,4]=>[4,3,1,2,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[2,3,8,6,5,1,4,7]=>[7,6,1,3,4,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[6,5,2,8,4,3,7,1]=>[3,4,7,1,5,6,2,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[7,5,8,3,4,2,1,6]=>[2,4,1,6,5,7,8,3]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[5,3,7,2,4,1,8,6]=>[4,6,2,7,5,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[6,1,4,7,8,5,3,2]=>[3,8,5,2,1,4,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,6,8,3,7,4,2,1]=>[4,3,1,6,2,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[2,5,8,4,6,3,7,1]=>[7,4,1,5,3,6,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[4,8,3,6,7,5,2,1]=>[5,1,6,3,2,4,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[8,1,6,5,2,7,4,3]=>[1,8,3,4,7,2,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[6,8,1,5,2,7,4,3]=>[3,1,8,4,7,2,5,6]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[5,6,2,1,3,8,4,7]=>[4,3,7,8,6,1,5,2]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[7,1,4,8,2,5,3,6]=>[2,8,5,1,7,4,6,3]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[8,5,3,6,7,2,4,1]=>[1,4,6,3,2,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,6,2,3,1,4,7,5]=>[1,3,7,6,8,5,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,7,8,2,3,1,5,4]=>[3,2,1,7,6,8,4,5]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[5,2,8,6,7,1,4,3]=>[4,7,1,3,2,8,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,6,2,7,4,8,3,1]=>[4,3,7,2,5,1,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,7,3,2,4,8,6,5]=>[8,2,6,7,5,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[4,3,1,8,2,6,7,5]=>[5,6,8,1,7,3,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[2,5,3,8,1,4,7,6]=>[7,4,6,1,8,5,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[8,1,2,4,3,5,7,6]=>[1,8,7,5,6,4,2,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[2,4,3,8,1,5,7,6]=>[7,5,6,1,8,4,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[2,7,3,8,5,1,6,4]=>[7,2,6,1,4,8,3,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[8,7,3,2,5,6,4,1]=>[1,2,6,7,4,3,5,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[8,4,2,3,1,5,7,6]=>[1,5,7,6,8,4,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,2,3,4,1,5,7,6]=>[1,7,6,5,8,4,2,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[7,1,6,2,4,8,3,5]=>[2,8,3,7,5,1,6,4]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[6,5,8,1,3,2,4,7]=>[3,4,1,8,6,7,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[2,1,8,5,3,4,6,7]=>[7,8,1,4,6,5,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[7,4,5,6,8,1,3,2]=>[2,5,4,3,1,8,6,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,6,8,1,4,5,3,2]=>[2,3,1,8,5,4,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[4,3,5,8,1,6,7,2]=>[5,6,4,1,8,3,2,7]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[8,5,1,6,7,4,3,2]=>[1,4,8,3,2,5,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[2,1,8,6,4,5,3,7]=>[7,8,1,3,5,4,6,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[2,8,1,7,4,5,3,6]=>[7,1,8,2,5,4,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,7,8,6,5,1,4,3]=>[7,2,1,3,4,8,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[7,5,4,6,8,1,3,2]=>[2,4,5,3,1,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[2,4,5,8,6,1,7,3]=>[7,5,4,1,3,8,2,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[1,2,6,4,8,5,3,7]=>[8,7,3,5,1,4,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[6,8,1,5,7,4,3,2]=>[3,1,8,4,2,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[8,6,1,5,7,4,3,2]=>[1,3,8,4,2,5,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>[5,3]
[5,7,8,1,6,4,3,2]=>[4,2,1,8,3,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[1,8,5,6,4,3,7,2]=>[8,1,4,3,5,6,2,7]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[2,6,8,4,5,1,7,3]=>[7,3,1,5,4,8,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[4,6,5,7,8,1,3,2]=>[5,3,4,2,1,8,6,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[2,5,8,6,4,7,1,3]=>[7,4,1,3,5,2,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,1,7,4,5,2,8,3]=>[3,8,2,5,4,7,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[5,3,2,1,7,8,4,6]=>[4,6,7,8,2,1,5,3]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[4,1,5,7,8,3,6,2]=>[5,8,4,2,1,6,3,7]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[8,3,6,7,1,4,5,2]=>[1,6,3,2,8,5,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[7,8,3,5,2,1,4,6]=>[2,1,6,4,7,8,5,3]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[5,3,8,6,4,2,7,1]=>[4,6,1,3,5,7,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[8,4,1,3,6,7,2,5]=>[1,5,8,6,3,2,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[1,6,5,3,8,4,7,2]=>[8,3,4,6,1,5,2,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[5,1,3,4,8,7,2,6]=>[4,8,6,5,1,2,7,3]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[1,5,3,4,8,7,2,6]=>[8,4,6,5,1,2,7,3]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[2,4,6,1,5,7,8,3]=>[7,5,3,8,4,2,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[2,6,3,1,5,7,8,4]=>[7,3,6,8,4,2,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[4,6,2,5,1,7,8,3]=>[5,3,7,4,8,2,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[6,2,5,3,1,7,8,4]=>[3,7,4,6,8,2,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[2,3,5,1,7,6,4,8]=>[7,6,4,8,2,3,5,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[2,3,1,7,4,8,6,5]=>[7,6,8,2,5,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,3,6,4,1,5,7,8]=>[7,6,3,5,8,4,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[4,7,5,1,3,2,8,6]=>[5,2,4,8,6,7,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[2,3,7,6,4,1,5,8]=>[7,6,2,3,5,8,4,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[2,7,8,3,1,6,5,4]=>[7,2,1,6,8,3,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[7,5,2,3,1,6,4,8]=>[2,4,7,6,8,3,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,1,3,5,2,7,8,4]=>[3,8,6,4,7,2,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[2,3,1,6,4,8,7,5]=>[7,6,8,3,5,1,2,4]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[1,8,3,6,4,2,7,5]=>[8,1,6,3,5,7,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[2,3,1,7,5,4,6,8]=>[7,6,8,2,4,5,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[2,3,7,4,1,5,6,8]=>[7,6,2,5,8,4,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[3,5]
[8,2,1,6,3,5,4,7]=>[1,7,8,3,6,4,5,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,1,6,4,3,2,5,7]=>[1,8,3,5,6,7,4,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[8,1,7,3,2,5,4,6]=>[1,8,2,6,7,4,5,3]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[8,1,6,2,5,4,3,7]=>[1,8,3,7,4,5,6,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[4,2,8,1,3,6,7,5]=>[5,7,1,8,6,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[7,1,3,6,4,2,5,8]=>[2,8,6,3,5,7,4,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[8,1,2,5,7,4,6,3]=>[1,8,7,4,2,5,3,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[1,7,4,6,3,5,8,2]=>[8,2,5,3,6,4,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,2,7,1,4,8,3,6]=>[4,7,2,8,5,1,6,3]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[5,2,7,3,6,1,4,8]=>[4,7,2,6,3,8,5,1]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[7,4,6,3,1,2,5,8]=>[2,5,3,6,8,7,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[6,4,1,3,8,2,5,7]=>[3,5,8,6,1,7,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[7,2,5,3,6,1,4,8]=>[2,7,4,6,3,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,2,5,3,6,1,4,7]=>[1,7,4,6,3,8,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[6,4,8,1,2,5,7,3]=>[3,5,1,8,7,4,2,6]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[4,7,8,3,6,5,1,2]=>[5,2,1,6,3,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[5,2,4,8,3,7,1,6]=>[4,7,5,1,6,2,8,3]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[3,5,8,4,7,1,2,6]=>[6,4,1,5,2,8,7,3]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[8,7,5,6,2,4,3,1]=>[1,2,4,3,7,5,6,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[8,7,4,1,3,6,2,5]=>[1,2,5,8,6,3,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[8,2,5,3,7,6,1,4]=>[1,7,4,6,2,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[8,6,4,7,5,1,3,2]=>[1,3,5,2,4,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[6,1,2,4,7,8,3,5]=>[3,8,7,5,2,1,6,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[4,6,3,8,5,9,7,2,1,10]=>[7,5,8,3,6,2,4,9,10,1]=>[[1,3,8,9],[2,5],[4,7],[6],[10]]=>[2,2,2,4]
[5,7,8,4,9,6,3,2,1,10]=>[6,4,3,7,2,5,8,9,10,1]=>[[1,4,7,8,9],[2,6],[3],[5],[10]]=>[3,2,5]
[6,7,8,9,5,4,3,2,1,10]=>[5,4,3,2,6,7,8,9,10,1]=>[[1,5,6,7,8,9],[2],[3],[4],[10]]=>[4,6]
[4,6,7,5,2,3,8,1]=>[5,3,2,4,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[2,6,7,4,5,3,8,1]=>[7,3,2,5,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[2,6,4,7,5,8,3,1]=>[7,3,5,2,4,1,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[4,6,2,7,5,3,8,1]=>[5,3,7,2,4,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[6,7,4,2,5,3,8,1]=>[3,2,5,7,4,6,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[4,2,6,7,8,5,3,1]=>[5,7,3,2,1,4,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[6,2,7,4,5,8,3,1]=>[3,7,2,5,4,1,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[6,2,4,7,8,5,3,1]=>[3,7,5,2,1,4,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[6,7,4,5,2,8,3,1]=>[3,2,5,4,7,1,6,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[1,5,3,6,4,8,2,7]=>[8,4,6,3,5,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>[2,2,2,2]
[3,5,2,1,7,8,6,4]=>[6,4,7,8,2,1,3,5]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[1,2,7,8,6,4,5,3]=>[8,7,2,1,3,5,4,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[8,6,7,1,3,2,4,5]=>[1,3,2,8,6,7,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,1,6,3,2,4,8,5]=>[2,8,3,6,7,5,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[6,2,8,7,1,3,4,5]=>[3,7,1,2,8,6,5,4]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[6,4,8,1,2,3,7,5]=>[3,5,1,8,7,6,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[8,6,7,1,2,3,5,4]=>[1,3,2,8,7,6,4,5]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,7,1,2,3,8,5,4]=>[3,2,8,7,6,1,4,5]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[7,8,5,1,2,3,6,4]=>[2,1,4,8,7,6,3,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[8,1,7,5,2,3,6,4]=>[1,8,2,4,7,6,3,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[7,4,1,3,6,8,5,2]=>[2,5,8,6,3,1,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,2,5,1,6,4,3,8]=>[2,7,4,8,3,5,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,2,1,4,5,8,7,3]=>[3,7,8,5,4,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[6,3,8,5,7,1,4,2]=>[3,6,1,4,2,8,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[5,6,7,3,1,4,2,8]=>[4,3,2,6,8,5,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[4,3,1,7,6,5,2,8]=>[5,6,8,2,3,4,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[7,4,3,6,8,2,1,5]=>[2,5,6,3,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[5,4,6,2,1,8,7,3]=>[4,5,3,7,8,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[3,2,8,5,1,4,6,7]=>[6,7,1,4,8,5,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[3,5,4,1,2,8,6,7]=>[6,4,5,8,7,1,3,2]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,3,8,1,4,2,6,7]=>[4,6,1,8,5,7,3,2]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[5,3,8,1,4,2,7,6]=>[4,6,1,8,5,7,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[1,4,7,5,8,6,2,3]=>[8,5,2,4,1,3,7,6]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[8,5,7,6,3,4,1,2]=>[1,4,2,3,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[2,4,5,1,8,3,7,6]=>[7,5,4,8,1,6,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,6,5,7,8,4,1,2]=>[6,3,4,2,1,5,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[6,4,3,1,8,5,7,2]=>[3,5,6,8,1,4,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[3,2,7,6,1,5,8,4]=>[6,7,2,3,8,4,1,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[2,1,7,6,4,5,3,8]=>[7,8,2,3,5,4,6,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[2,5,6,3,4,1,8,7]=>[7,4,3,6,5,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[4,6,7,2,3,8,5,1]=>[5,3,2,7,6,1,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[2,3,6,8,7,1,5,4]=>[7,6,3,1,2,8,4,5]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[2,3,5,8,7,4,1,6]=>[7,6,4,1,2,5,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[2,3,5,8,7,4,6,1]=>[7,6,4,1,2,5,3,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[5,7,4,1,8,6,2,3]=>[4,2,5,8,1,3,7,6]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[4,5,3,7,8,1,2,6]=>[5,4,6,2,1,8,7,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[2,3,5,8,1,7,4,6]=>[7,6,4,1,8,2,5,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[5,4,2,7,8,3,1,6]=>[4,5,7,2,1,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[2,3,5,8,1,6,4,7]=>[7,6,4,1,8,3,5,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,5,8,7,3,6,4,2]=>[8,4,1,2,6,3,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[6,2,5,4,7,1,3,8]=>[3,7,4,5,2,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[8,6,1,5,7,4,2,3]=>[1,3,8,4,2,5,7,6]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[1,8,4,5,7,3,6,2]=>[8,1,5,4,2,6,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,7,4,5,8,3,6,2]=>[8,2,5,4,1,6,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[8,6,1,5,4,2,7,3]=>[1,3,8,4,5,7,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[7,3,6,1,8,5,2,4]=>[2,6,3,8,1,4,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[4,8,2,6,1,5,7,3]=>[5,1,7,3,8,4,2,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[6,3,2,7,4,1,5,8]=>[3,6,7,2,5,8,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[2,5,3,1,4,7,6,8]=>[7,4,6,8,5,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,5,3,1,4,6,8,7]=>[7,4,6,8,5,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[2,8,5,6,3,4,1,7]=>[7,1,4,3,6,5,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,2,8,6,3,5,1,7]=>[5,7,1,3,6,4,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[3,8,6,1,4,5,2,7]=>[6,1,3,8,5,4,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,6,8,4,3,1,5,7]=>[7,3,1,5,6,8,4,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,7,8,5,1,4,6,2]=>[6,2,1,4,8,5,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[3,4,8,6,1,5,2,7]=>[6,5,1,3,8,4,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,2,8,7,4,6,5,3]=>[8,7,1,2,5,3,4,6]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[4,3,2,7,6,1,5,8]=>[5,6,7,2,3,8,4,1]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[1,3,7,6,2,4,8,5]=>[8,6,2,3,7,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[1,3,8,2,7,4,6,5]=>[8,6,1,7,2,5,3,4]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,5,4,1,6,3,8,2]=>[2,4,5,8,3,6,1,7]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,6,5,3,2,4,8,7]=>[8,3,4,6,7,5,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,3,1,7,6,4,8,2]=>[4,6,8,2,3,5,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[1,6,8,7,5,2,3,4]=>[8,3,1,2,4,7,6,5]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[4,3,6,1,8,5,2,7]=>[5,6,3,8,1,4,7,2]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[1,4,8,7,3,6,2,5]=>[8,5,1,2,6,3,7,4]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[1,4,8,6,2,5,3,7]=>[8,5,1,3,7,4,6,2]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,2,7,3,8,4,9,5,10,6]=>[10,9,4,8,3,7,2,6,1,5]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[3,2,2,2,1]
[4,5,7,6,3,1,8,2]=>[5,4,2,3,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,6,7,3,1,5,8,2]=>[5,3,2,6,8,4,1,7]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[5,4,1,8,7,3,6,2]=>[4,5,8,1,2,6,3,7]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[2,5,8,1,6,7,4,3]=>[7,4,1,8,3,2,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[8,3,2,5,4,6,1,7]=>[1,6,7,4,5,3,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[6,2,4,7,5,3,1,8]=>[3,7,5,2,4,6,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[6,2,5,1,8,7,3,4]=>[3,7,4,8,1,2,6,5]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[3,2,6,1,5,8,7,4]=>[6,7,3,8,4,1,2,5]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[5,1,8,7,6,4,2,3]=>[4,8,1,2,3,5,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[7,1,4,5,3,8,2,6]=>[2,8,5,4,6,1,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[6,5,4,2,3,8,1,7]=>[3,4,5,7,6,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[6,1,4,8,3,7,2,5]=>[3,8,5,1,6,2,7,4]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,5,3,8,6,2,1,7]=>[5,4,6,1,3,7,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,6,4,2,8,5,1,7]=>[6,3,5,7,1,4,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,6,5,3,1,8,4,7]=>[7,3,4,6,8,1,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[4,2,3,6,7,5,1,8]=>[5,7,6,3,2,4,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[7,2,4,6,3,5,1,8]=>[2,7,5,3,6,4,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,1,2,4,7,5,3,6]=>[1,8,7,5,2,4,6,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[8,5,1,2,4,7,3,6]=>[1,4,8,7,5,2,6,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[5,1,8,2,4,7,3,6]=>[4,8,1,7,5,2,6,3]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[8,1,5,2,4,7,3,6]=>[1,8,4,7,5,2,6,3]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[8,5,7,1,4,2,3,6]=>[1,4,2,8,5,7,6,3]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,5,8,1,4,2,3,6]=>[2,4,1,8,5,7,6,3]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,1,3,8,4,7,2,5]=>[3,8,6,1,5,2,7,4]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[8,2,4,7,5,1,3,6]=>[1,7,5,2,4,8,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[1,3,4,8,5,6,2,7]=>[8,6,5,1,4,3,7,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[8,2,3,5,1,7,4,6]=>[1,7,6,4,8,2,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[2,8,3,5,4,7,1,6]=>[7,1,6,4,5,2,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[8,3,6,1,5,2,7,4]=>[1,6,3,8,4,7,2,5]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[7,2,4,8,1,6,3,5]=>[2,7,5,1,8,3,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[4,3,5,6,1,7,2,8]=>[5,6,4,3,8,2,7,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[3,2,7,1,8,6,5,4]=>[6,7,2,8,1,3,4,5]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[2,8,1,4,6,5,7,3]=>[7,1,8,5,3,4,2,6]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[6,1,2,7,4,5,3,8]=>[3,8,7,2,5,4,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[1,7,2,3,8,5,6,4]=>[8,2,7,6,1,4,3,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[1,3,8,5,6,7,2,4]=>[8,6,1,4,3,2,7,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[2,7,4,5,6,1,3,8]=>[7,2,5,4,3,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[6,2,4,1,5,7,8,3]=>[3,7,5,8,4,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[1,4,2,5,7,8,6,3]=>[8,5,7,4,2,1,3,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[4,3,2,7,6,1,8,5]=>[5,6,7,2,3,8,1,4]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,8,7,1,5,4,6,3]=>[7,1,2,8,4,5,3,6]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[2,7,6,4,3,5,8,1]=>[7,2,3,5,6,4,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[6,7,2,5,3,4,8,1]=>[3,2,7,4,6,5,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,8,4,1,3,6,7,2]=>[4,1,5,8,6,3,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[1,8,5,3,7,6,4,2]=>[8,1,4,6,2,3,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[6,7,2,3,8,1,4,5]=>[3,2,7,6,1,8,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[8,2,5,3,7,1,4,6]=>[1,7,4,6,2,8,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[3,2,7,4,8,1,5,6]=>[6,7,2,5,1,8,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[2,8,5,6,4,7,1,3]=>[7,1,4,3,5,2,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[3,1,5,8,7,4,6,2]=>[6,8,4,1,2,5,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>[4,3,1]
[5,2,8,1,7,4,6,3]=>[4,7,1,8,2,5,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[1,5,3,8,6,4,7,2]=>[8,4,6,1,3,5,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[4,7,5,6,2,1,8,3]=>[5,2,4,3,7,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[8,1,3,4,6,2,7,5]=>[1,8,6,5,3,7,2,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[1,3,5,6,2,8,7,4]=>[8,6,4,3,7,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[2,5,4,7,3,1,8,6]=>[7,4,5,2,6,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[8,5,4,7,3,1,2,6]=>[1,4,5,2,6,8,7,3]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,1,4,3,5,2,7,8]=>[3,8,5,6,4,7,2,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[4,1,5,3,6,7,2,8]=>[5,8,4,6,3,2,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[6,4,1,3,5,7,2,8]=>[3,5,8,6,4,2,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[5,3,1,4,7,2,6,8]=>[4,6,8,5,2,7,3,1]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[5,4,6,2,1,7,3,8]=>[4,5,3,7,8,2,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[1,6,5,4,2,3,7,8]=>[8,3,4,5,7,6,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[8,5,6,2,7,4,1,3]=>[1,4,3,7,2,5,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[6,4,5,1,2,8,7,3]=>[3,5,4,8,7,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[6,8,3,5,2,1,4,7]=>[3,1,6,4,7,8,5,2]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[5,8,1,4,2,6,7,3]=>[4,1,8,5,7,3,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[2,3,8,4,6,5,1,7]=>[7,6,1,5,3,4,8,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[5,7,3,4,8,6,2,1]=>[4,2,6,5,1,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[5,4,1,2,7,6,3,8]=>[4,5,8,7,2,3,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[5,4,1,3,2,7,6,8]=>[4,5,8,6,7,2,3,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[8,2,5,4,3,1,7,6]=>[1,7,4,5,6,8,2,3]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[5,3,1,4,6,8,7,2]=>[4,6,8,5,3,1,2,7]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[6,4,3,5,1,8,7,2]=>[3,5,6,4,8,1,2,7]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[8,2,6,5,7,3,1,4]=>[1,7,3,4,2,6,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[8,2,4,5,3,7,1,6]=>[1,7,5,4,6,2,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,3,1,5,6,2,7,8]=>[5,6,8,4,3,7,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[5,8,7,3,1,2,4,6]=>[4,1,2,6,8,7,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[4,1,2,8,7,3,6,5]=>[5,8,7,1,2,6,3,4]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[6,1,2,4,3,8,7,5]=>[3,8,7,5,6,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[3,7,8,1,2,4,6,5]=>[6,2,1,8,7,5,3,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[7,3,4,1,2,6,8,5]=>[2,6,5,8,7,3,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,3,1,7,4,5,2,6]=>[1,6,8,2,5,4,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,2,4,5,1,7,3,6]=>[1,7,5,4,8,2,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[6,8,2,4,5,1,7,3]=>[3,1,7,5,4,8,2,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[8,4,3,7,1,5,6,2]=>[1,5,6,2,8,4,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[8,3,7,1,4,5,6,2]=>[1,6,2,8,5,4,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,7,3,6,1,2,5,4]=>[1,2,6,3,8,7,4,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,7,2,3,6,1,5,4]=>[1,2,7,6,3,8,4,5]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,2,7,1,3,4,6,5]=>[1,7,2,8,6,5,3,4]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,2,4,7,3,1,6,5]=>[1,7,5,2,6,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,2,7,6,3,1,4,5]=>[1,7,2,3,6,8,5,4]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[8,5,7,2,6,3,1,4]=>[1,4,2,7,3,6,8,5]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[5,8,2,7,3,1,6,4]=>[4,1,7,2,6,8,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,1,2,6,7,5,4,3]=>[1,8,7,3,2,4,5,6]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[8,4,1,7,5,6,2,3]=>[1,5,8,2,4,3,7,6]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[8,2,4,7,6,5,1,3]=>[1,7,5,2,3,4,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,2,7,6,4,5,1,3]=>[1,7,2,3,5,4,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[8,2,4,7,3,6,5,1]=>[1,7,5,2,6,3,4,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[8,1,2,7,6,4,5,3]=>[1,8,7,2,3,5,4,6]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[8,1,4,7,3,6,5,2]=>[1,8,5,2,6,3,4,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[2,3,1,9,8,7,6,5,4]=>[8,7,9,1,2,3,4,5,6]=>[[1,3,6,7,8,9],[2,5],[4]]=>[2,2,5]
[3,4,2,1,9,8,7,6,5]=>[7,6,8,9,1,2,3,4,5]=>[[1,3,4,8,9],[2,6,7],[5]]=>[2,3,4]
[2,8,1,5,3,7,6,4]=>[7,1,8,4,6,2,3,5]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[4,2,1,8,7,3,6,5]=>[5,7,8,1,2,6,3,4]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[1,8,2,4,7,5,6,3]=>[8,1,7,5,2,4,3,6]=>[[1,3,6,8],[2],[4],[5],[7]]=>[2,3,2,1]
[1,3,8,4,7,5,6,2]=>[8,6,1,5,2,4,3,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[1,8,2,3,5,6,4,7]=>[8,1,7,6,4,3,5,2]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[1,6,7,4,2,3,5,8]=>[8,3,2,5,7,6,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,8,6,2,3,5,4,7]=>[8,1,3,7,6,4,5,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>[2,4,2]
[1,8,2,3,5,4,7,6]=>[8,1,7,6,4,5,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[7,3,8,6,2,1,5,4]=>[2,6,1,3,7,8,4,5]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[2,1,3,6,8,5,4,7]=>[7,8,6,3,1,4,5,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[5,8,2,7,3,1,4,6]=>[4,1,7,2,6,8,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[5,1,3,8,4,7,2,6]=>[4,8,6,1,5,2,7,3]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[4,2,8,3,7,6,1,5]=>[5,7,1,6,2,3,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[8,3,6,7,5,2,1,4]=>[1,6,3,2,4,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[3,8,7,4,6,2,1,5]=>[6,1,2,5,3,7,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[8,4,2,6,3,5,7,1]=>[1,5,7,3,6,4,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,5,4,2,6,7,3,1]=>[1,4,5,7,3,2,6,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[5,8,3,1,4,6,2,7]=>[4,1,6,8,5,3,7,2]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[4,3,7,1,2,8,6,5]=>[5,6,2,8,7,1,3,4]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[5,4,3,8,7,1,2,6]=>[4,5,6,1,2,8,7,3]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[4,2,7,5,1,3,8,6]=>[5,7,2,4,8,6,1,3]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[8,1,3,6,7,2,5,4]=>[1,8,6,3,2,7,4,5]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[2,5,3,8,6,7,1,4]=>[7,4,6,1,3,2,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[6,5,2,4,3,8,1,7]=>[3,4,7,5,6,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[7,5,2,4,3,6,1,8]=>[2,4,7,5,6,3,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[6,4,3,2,8,5,1,7]=>[3,5,6,7,1,4,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[1,8,4,3,7,5,2,6]=>[8,1,5,6,2,4,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[1,5,6,8,4,3,2,7]=>[8,4,3,1,5,6,7,2]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[6,4,2,3,7,1,8,5]=>[3,5,7,6,2,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[4,5,8,7,1,3,2,6]=>[5,4,1,2,8,6,7,3]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[1,5,4,7,8,3,2,6]=>[8,4,5,2,1,6,7,3]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[4,7,1,3,6,5,2,8]=>[5,2,8,6,3,4,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,6,1,8,2,7,5,3]=>[5,3,8,1,7,2,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[6,3,2,1,5,7,8,4]=>[3,6,7,8,4,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[3,4,8,1,5,6,2,7]=>[6,5,1,8,4,3,7,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[8,4,1,6,7,3,2,5]=>[1,5,8,3,2,6,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[6,3,5,1,8,4,7,2]=>[3,6,4,8,1,5,2,7]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[1,2,5,4,8,6,3,7]=>[8,7,4,5,1,3,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[6,4,5,8,2,1,7,3]=>[3,5,4,1,7,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[5,3,4,1,2,6,8,7]=>[4,6,5,8,7,3,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[3,4,8,5,6,1,2,7]=>[6,5,1,4,3,8,7,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[3,5,4,8,1,6,7,2]=>[6,4,5,1,8,3,2,7]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[2,4,3,1,5,8,6,7]=>[7,5,6,8,4,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[1,7,6,2,5,4,8,3]=>[8,2,3,7,4,5,1,6]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[3,7,2,1,5,6,8,4]=>[6,2,7,8,4,3,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[7,4,2,1,5,6,8,3]=>[2,5,7,8,4,3,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[3,8,1,7,2,5,4,6]=>[6,1,8,2,7,4,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[3,8,4,1,2,7,5,6]=>[6,1,5,8,7,2,4,3]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[6,7,1,5,2,4,3,8]=>[3,2,8,4,7,5,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[4,8,2,1,6,5,7,3]=>[5,1,7,8,3,4,2,6]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[8,2,1,5,4,6,3,7]=>[1,7,8,4,5,3,6,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[8,1,6,4,3,5,2,7]=>[1,8,3,5,6,4,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[1,3,7,8,2,6,4,5]=>[8,6,2,1,7,3,5,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[3,1,4,2,8,7,5,6]=>[6,8,5,7,1,2,4,3]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[2,6,7,5,1,4,8,3]=>[7,3,2,4,8,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[5,6,8,2,1,4,7,3]=>[4,3,1,7,8,5,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[6,1,4,3,7,5,8,2]=>[3,8,5,6,2,4,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,4,6,7,5,8,2,3]=>[8,5,3,2,4,1,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[7,1,3,6,5,8,2,4]=>[2,8,6,3,4,1,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[7,1,3,4,6,5,8,2]=>[2,8,6,5,3,4,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[4,6,8,5,3,7,2,1]=>[5,3,1,4,6,2,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[4,6,8,1,2,5,7,3]=>[5,3,1,8,7,4,2,6]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[4,6,8,5,1,3,7,2]=>[5,3,1,4,8,6,2,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[3,7,8,4,6,1,5,2]=>[6,2,1,5,3,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,7,4,5,2,6,8,3]=>[8,2,5,4,7,3,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[3,1,5,8,4,6,2,7]=>[6,8,4,1,5,3,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[4,6,5,8,2,1,3,7]=>[5,3,4,1,7,8,6,2]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[1,4,8,3,5,6,2,7]=>[8,5,1,6,4,3,7,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[4,3,1,8,5,7,2,6]=>[5,6,8,1,4,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[7,3,2,4,8,1,6,5]=>[2,6,7,5,1,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[3,7,2,4,5,8,1,6]=>[6,2,7,5,4,1,8,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[3,2,7,4,6,1,8,5]=>[6,7,2,5,3,8,1,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[8,3,2,4,6,1,7,5]=>[1,6,7,5,3,8,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,3,2,4,5,7,1,6]=>[1,6,7,5,4,2,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[7,4,6,2,1,3,8,5]=>[2,5,3,7,8,6,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[3,6,7,2,4,1,8,5]=>[6,3,2,7,5,8,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[5,7,1,8,4,3,6,2]=>[4,2,8,1,5,6,3,7]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[5,4,8,7,6,2,3,1]=>[4,5,1,2,3,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[8,4,6,3,1,5,2,7]=>[1,5,3,6,8,4,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[3,7,6,2,5,4,1,8]=>[6,2,3,7,4,5,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[7,2,6,8,5,1,3,4]=>[2,7,3,1,4,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[8,6,5,4,1,3,7,2]=>[1,3,4,5,8,6,2,7]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[3,8,7,5,4,2,1,6]=>[6,1,2,4,5,7,8,3]=>[[1,3,4,5,6,7],[2],[8]]=>[2,6]
[7,3,4,8,6,1,5,2]=>[2,6,5,1,3,8,4,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[5,2,3,1,6,8,4,7]=>[4,7,6,8,3,1,5,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[5,1,4,2,7,8,6,3]=>[4,8,5,7,2,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[5,4,1,2,7,6,8,3]=>[4,5,8,7,2,3,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[2,8,7,4,1,5,3,6]=>[7,1,2,5,8,4,6,3]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[6,5,1,4,3,8,7,2]=>[3,4,8,5,6,1,2,7]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[7,5,8,1,4,3,6,2]=>[2,4,1,8,5,6,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,2,1,6,5,8,4,3]=>[2,7,8,3,4,1,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[7,4,5,3,8,6,2,1]=>[2,5,4,6,1,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[6,2,4,3,5,8,1,7]=>[3,7,5,6,4,1,8,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[2,4,5,8,1,7,3,6]=>[7,5,4,1,8,2,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,7,3,5,8,2,1,6]=>[5,2,6,4,1,7,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[5,2,8,7,4,6,3,1]=>[4,7,1,2,5,3,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[4,7,6,2,5,8,1,3]=>[5,2,3,7,4,1,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[7,6,3,1,5,8,2,4]=>[2,3,6,8,4,1,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[7,4,2,3,6,8,1,5]=>[2,5,7,6,3,1,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[2,6,4,5,8,3,1,7]=>[7,3,5,4,1,6,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[3,7,4,8,6,2,5,1]=>[6,2,5,1,3,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,8,7,1,3,6,2,5]=>[5,1,2,8,6,3,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[7,3,5,2,8,1,4,6]=>[2,6,4,7,1,8,5,3]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[1,7,2,4,5,8,6,3]=>[8,2,7,5,4,1,3,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[1,6,5,2,4,8,3,7]=>[8,3,4,7,5,1,6,2]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[1,6,2,7,4,3,8,5]=>[8,3,7,2,5,6,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[1,2,7,3,8,5,6,4]=>[8,7,2,6,1,4,3,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[8,1,6,3,2,7,5,4]=>[1,8,3,6,7,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,8,5,1,4,2,3,6]=>[2,1,4,8,5,7,6,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[6,5,2,1,4,7,3,8]=>[3,4,7,8,5,2,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[1,6,2,3,7,5,4,8]=>[8,3,7,6,2,4,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[2,7,3,1,4,5,8,6]=>[7,2,6,8,5,4,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[6,5,8,3,2,7,1,4]=>[3,4,1,6,7,2,8,5]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[8,4,3,1,7,6,5,2]=>[1,5,6,8,2,3,4,7]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[1,2,7,6,4,5,3,8]=>[8,7,2,3,5,4,6,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[1,2,8,7,5,3,4,6]=>[8,7,1,2,4,6,5,3]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[1,2,6,5,3,4,8,7]=>[8,7,3,4,6,5,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[1,2,7,5,4,3,6,8]=>[8,7,2,4,5,6,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[4,6,1,3,7,5,2,8]=>[5,3,8,6,2,4,7,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[5,6,8,1,3,4,2,7]=>[4,3,1,8,6,5,7,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[5,6,7,1,4,3,2,8]=>[4,3,2,8,5,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[4,6,8,5,2,1,7,3]=>[5,3,1,4,7,8,2,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[5,7,8,3,2,4,6,1]=>[4,2,1,6,7,5,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[3,5,4,1,8,2,7,6]=>[6,4,5,8,1,7,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[3,6,1,8,4,2,7,5]=>[6,3,8,1,5,7,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[6,7,8,2,5,3,4,1]=>[3,2,1,7,4,6,5,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[1,6,7,8,2,5,4,3]=>[8,3,2,1,7,4,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,5,2,7,8,6,1,3]=>[5,4,7,2,1,3,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[2,4,7,3,6,5,1,8]=>[7,5,2,6,3,4,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[1,3,5,8,7,2,6,4]=>[8,6,4,1,2,7,3,5]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,1,3,8,7,5,2,6]=>[5,8,6,1,2,4,7,3]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[6,7,3,1,2,5,8,4]=>[3,2,6,8,7,4,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[6,5,8,2,1,4,7,3]=>[3,4,1,7,8,5,2,6]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[8,5,1,6,7,2,4,3]=>[1,4,8,3,2,7,5,6]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[3,6,7,2,1,5,8,4]=>[6,3,2,7,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[7,8,4,3,5,1,6,2]=>[2,1,5,6,4,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[3,1,7,6,2,5,8,4]=>[6,8,2,3,7,4,1,5]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[2,8,1,3,5,7,6,4]=>[7,1,8,6,4,2,3,5]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[3,8,5,7,2,4,6,1]=>[6,1,4,2,7,5,3,8]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[3,1,5,4,6,8,2,7]=>[6,8,4,5,3,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[6,7,1,4,5,2,8,3]=>[3,2,8,5,4,7,1,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[6,4,1,2,5,8,3,7]=>[3,5,8,7,4,1,6,2]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[5,4,8,1,6,7,2,3]=>[4,5,1,8,3,2,7,6]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[5,7,2,6,3,1,8,4]=>[4,2,7,3,6,8,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[4,6,3,5,7,1,8,2]=>[5,3,6,4,2,8,1,7]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[4,7,3,5,2,6,8,1]=>[5,2,6,4,7,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[7,3,6,5,2,4,8,1]=>[2,6,3,4,7,5,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[7,3,6,4,5,1,8,2]=>[2,6,3,5,4,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,6,3,5,7,1,8,4]=>[7,3,6,4,2,8,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[2,3,5,4,7,1,8,6]=>[7,6,4,5,2,8,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[4,5,6,8,1,7,2,3]=>[5,4,3,1,8,2,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,5,8,2,7,3,6,1]=>[5,4,1,7,2,6,3,8]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[4,1,5,7,2,6,8,3]=>[5,8,4,2,7,3,1,6]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[1,3,7,4,2,5,8,6]=>[8,6,2,5,7,4,1,3]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[8,7,2,6,5,3,4,1]=>[1,2,7,3,4,6,5,8]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[6,8,4,1,5,7,3,2]=>[3,1,5,8,4,2,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[4,5,1,7,2,6,8,3]=>[5,4,8,2,7,3,1,6]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[8,1,6,2,3,7,5,4]=>[1,8,3,7,6,2,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[7,3,1,2,6,5,8,4]=>[2,6,8,7,3,4,1,5]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[7,1,3,5,6,4,8,2]=>[2,8,6,4,3,5,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[7,2,3,6,4,5,8,1]=>[2,7,6,3,5,4,1,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[6,1,2,5,3,7,4,8]=>[3,8,7,4,6,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[7,3,4,2,8,1,6,5]=>[2,6,5,7,1,8,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[1,3,4,7,8,5,6,2]=>[8,6,5,2,1,4,3,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[1,8,5,3,6,4,7,2]=>[8,1,4,6,3,5,2,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[1,6,4,5,8,3,7,2]=>[8,3,5,4,1,6,2,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,3,6,5,8,4,7,2]=>[8,6,3,4,1,5,2,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[8,3,1,6,5,4,2,7]=>[1,6,8,3,4,5,7,2]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,5,7,3,2,1,8,6]=>[5,4,2,6,7,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[2,5,8,1,6,4,3,7]=>[7,4,1,8,3,5,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[4,6,1,2,5,3,8,7]=>[5,3,8,7,4,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,5,6,7,3,1,4,8]=>[7,4,3,2,6,8,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[7,2,5,6,1,4,3,8]=>[2,7,4,3,8,5,6,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[6,7,5,1,3,2,8,4]=>[3,2,4,8,6,7,1,5]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[3,5,8,6,7,2,1,4]=>[6,4,1,3,2,7,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[2,8,3,6,4,1,7,5]=>[7,1,6,3,5,8,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[8,5,7,1,3,4,2,6]=>[1,4,2,8,6,5,7,3]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,1,8,7,3,2,6,4]=>[4,8,1,2,6,7,3,5]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[6,5,3,4,8,2,1,7]=>[3,4,6,5,1,7,8,2]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[6,4,8,7,3,1,2,5]=>[3,5,1,2,6,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[6,8,7,1,2,5,3,4]=>[3,1,2,8,7,4,6,5]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,4,5,2,7,3,6,1]=>[1,5,4,7,2,6,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[7,3,4,2,8,5,6,1]=>[2,6,5,7,1,4,3,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,3,6,5,8,2,7,1]=>[5,6,3,4,1,7,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[8,2,7,4,5,3,6,1]=>[1,7,2,5,4,6,3,8]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[8,3,6,2,7,4,5,1]=>[1,6,3,7,2,5,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[3,2,6,8,4,5,7,1]=>[6,7,3,1,5,4,2,8]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[2,6,5,8,4,7,3,1]=>[7,3,4,1,5,2,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[2,6,5,8,7,4,1,3]=>[7,3,4,1,2,5,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[1,7,8,3,6,5,4,2]=>[8,2,1,6,3,4,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[5,8,1,7,2,4,3,6]=>[4,1,8,2,7,5,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,3,4,6,8,1,2,7]=>[4,6,5,3,1,8,7,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[6,4,1,3,7,5,2,8]=>[3,5,8,6,2,4,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[1,4,8,7,2,5,3,6]=>[8,5,1,2,7,4,6,3]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[6,8,1,7,2,4,3,5]=>[3,1,8,2,7,5,6,4]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,7,6,8,4,1,3,5]=>[7,2,3,1,5,8,6,4]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[6,5,2,3,8,7,4,1]=>[3,4,7,6,1,2,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[3,5,2,7,6,8,1,4]=>[6,4,7,2,3,1,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[2,6,3,7,1,8,4,5]=>[7,3,6,2,8,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,6,4,7,1,8,5,3]=>[7,3,5,2,8,1,4,6]=>[[1,3,5],[2,7,8],[4],[6]]=>[2,2,2,2]
[2,5,1,7,6,8,4,3]=>[7,4,8,2,3,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,6,4,7,3,8,1,5]=>[7,3,5,2,6,1,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,6,5,7,3,8,2,4]=>[8,3,4,2,6,1,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,8,5,7,6,4,2,3]=>[8,1,4,2,3,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[1,8,3,7,4,2,6,5]=>[8,1,6,2,5,7,3,4]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[6,1,4,2,7,3,5,8]=>[3,8,5,7,2,6,4,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[6,5,1,3,7,4,2,8]=>[3,4,8,6,2,5,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[7,1,8,2,4,3,5,6]=>[2,8,1,7,5,6,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[7,6,1,8,3,4,2,5]=>[2,3,8,1,6,5,7,4]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[6,4,2,3,8,7,5,1]=>[3,5,7,6,1,2,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[5,1,3,2,7,6,4,8]=>[4,8,6,7,2,3,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[5,1,3,2,8,7,6,4]=>[4,8,6,7,1,2,3,5]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[5,1,3,2,8,6,4,7]=>[4,8,6,7,1,3,5,2]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[6,5,1,3,8,4,2,7]=>[3,4,8,6,1,5,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[6,1,4,2,7,8,3,5]=>[3,8,5,7,2,1,6,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[6,5,1,3,7,8,4,2]=>[3,4,8,6,2,1,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[4,1,3,2,6,5,7,8]=>[5,8,6,7,3,4,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[4,1,3,2,7,8,6,5]=>[5,8,6,7,2,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[5,6,8,2,4,7,1,3]=>[4,3,1,7,5,2,8,6]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[5,6,7,1,4,8,2,3]=>[4,3,2,8,5,1,7,6]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[4,1,3,2,7,6,5,8]=>[5,8,6,7,2,3,4,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[4,1,3,2,7,5,6,8]=>[5,8,6,7,2,4,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[6,7,4,2,3,8,5,1]=>[3,2,5,7,6,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[5,6,1,4,7,3,2,8]=>[4,3,8,5,2,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,8,6,1,4,7,3,2]=>[4,1,3,8,5,2,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[5,8,7,3,2,4,6,1]=>[4,1,2,6,7,5,3,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[4,1,3,2,6,7,5,8]=>[5,8,6,7,3,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[4,1,3,2,5,8,7,6]=>[5,8,6,7,4,1,2,3]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[4,1,3,2,5,8,6,7]=>[5,8,6,7,4,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[5,1,3,2,6,8,4,7]=>[4,8,6,7,3,1,5,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[5,7,1,4,6,8,2,3]=>[4,2,8,5,3,1,7,6]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[4,1,3,2,5,6,8,7]=>[5,8,6,7,4,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[2,4,1,7,5,6,3,8]=>[7,5,8,2,4,3,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[6,5,1,3,2,7,8,4]=>[3,4,8,6,7,2,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[4,1,3,5,2,8,7,6]=>[5,8,6,4,7,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[4,5,8,6,3,7,1,2]=>[5,4,1,3,6,2,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,5,4,2,7,3,8,6]=>[8,4,5,7,2,6,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[1,6,2,5,7,3,8,4]=>[8,3,7,4,2,6,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[1,4,3,8,2,5,7,6]=>[8,5,6,1,7,4,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[3,7,2,8,4,1,5,6]=>[6,2,7,1,5,8,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[5,1,4,6,3,8,2,7]=>[4,8,5,3,6,1,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,4,3,6,2,8,1,7]=>[4,5,6,3,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[3,6,1,5,8,2,7,4]=>[6,3,8,4,1,7,2,5]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[5,3,4,1,7,8,6,2]=>[4,6,5,8,2,1,3,7]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[5,3,4,7,8,6,2,1]=>[4,6,5,2,1,3,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[2,3,8,4,5,6,1,7]=>[7,6,1,5,4,3,8,2]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[2,3,8,4,5,7,1,6]=>[7,6,1,5,4,2,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[4,3,5,7,2,1,8,6]=>[5,6,4,2,7,8,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,4,1,7,6,5,8,2]=>[6,5,8,2,3,4,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[3,4,2,1,6,8,5,7]=>[6,5,7,8,3,1,4,2]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[5,7,2,8,4,3,1,6]=>[4,2,7,1,5,6,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[8,5,2,3,1,6,7,4]=>[1,4,7,6,8,3,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[2,8,6,3,5,1,7,4]=>[7,1,3,6,4,8,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[3,8,6,2,5,4,7,1]=>[6,1,3,7,4,5,2,8]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[8,4,5,1,2,6,7,3]=>[1,5,4,8,7,3,2,6]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,1,5,2,4,6,7,3]=>[1,8,4,7,5,3,2,6]=>[[1,2,4,8],[3],[5],[6],[7]]=>[3,4,1]
[5,8,6,2,1,4,7,3]=>[4,1,3,7,8,5,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[8,5,3,1,4,6,2,7]=>[1,4,6,8,5,3,7,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[6,8,4,3,2,1,7,5]=>[3,1,5,6,7,8,2,4]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[2,1,8,5,4,3,7,6]=>[7,8,1,4,5,6,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[6,4,8,5,3,2,7,1]=>[3,5,1,4,6,7,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[4,8,5,6,2,7,1,3]=>[5,1,4,3,7,2,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,5,8,6,2,7,1,3]=>[5,4,1,3,7,2,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[7,5,6,3,2,8,4,1]=>[2,4,3,6,7,1,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[4,8,6,5,7,3,1,2]=>[5,1,3,4,2,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[5,3,2,8,6,7,1,4]=>[4,6,7,1,3,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[8,5,4,6,2,7,1,3]=>[1,4,5,3,7,2,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,4,7,5,6,3,1,2]=>[1,5,2,4,3,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[6,8,5,4,7,2,3,1]=>[3,1,4,5,2,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>[2,3,2,1]
[2,6,7,1,8,5,4,3]=>[7,3,2,8,1,4,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[3,4,8,1,2,6,5,7]=>[6,5,1,8,7,3,4,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[5,2,4,7,8,1,3,6]=>[4,7,5,2,1,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[10,8,7,6,5,4,3,1,2,9]=>[1,3,4,5,6,7,8,10,9,2]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[2,5,6,8,7,1,4,3]=>[7,4,3,1,2,8,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,6,8,1,5,2,7,3]=>[5,3,1,8,4,7,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[6,1,2,5,3,8,7,4]=>[3,8,7,4,6,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[6,8,7,1,5,2,4,3]=>[3,1,2,8,4,7,5,6]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[5,3,8,1,2,6,7,4]=>[4,6,1,8,7,3,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[1,6,4,2,7,8,5,3]=>[8,3,5,7,2,1,4,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[8,3,1,7,4,6,5,2]=>[1,6,8,2,5,3,4,7]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[8,2,3,6,4,1,7,5]=>[1,7,6,3,5,8,2,4]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,8,5,1,2,4,7,6]=>[6,1,4,8,7,5,2,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[3,4,7,5,2,8,6,1]=>[6,5,2,4,7,1,3,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[1,3,6,4,8,2,7,5]=>[8,6,3,5,1,7,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[8,6,1,2,3,7,5,4]=>[1,3,8,7,6,2,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,3,8,1,6,2,5,4]=>[2,6,1,8,3,7,4,5]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[2,7,6,3,4,1,5,8]=>[7,2,3,6,5,8,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[5,1,3,7,4,2,6,8]=>[4,8,6,2,5,7,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[1,6,8,3,2,4,5,7]=>[8,3,1,6,7,5,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[2,5,3,8,1,4,6,7]=>[7,4,6,1,8,5,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[9,6,5,4,3,2,1,7,8]=>[1,4,5,6,7,8,9,3,2]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[10,7,6,5,4,3,2,1,8,9]=>[1,4,5,6,7,8,9,10,3,2]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[8,5,3,2,6,4,7,1]=>[1,4,6,7,3,5,2,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[7,3,6,8,4,5,1,2]=>[2,6,3,1,5,4,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,2,7,4,8,5,6,3]=>[8,7,2,5,1,4,3,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[1,6,7,4,8,5,2,3]=>[8,3,2,5,1,4,7,6]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[2,6,7,4,8,5,1,3]=>[7,3,2,5,1,4,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[4,7,8,5,1,3,6,2]=>[5,2,1,4,8,6,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[1,4,8,2,5,3,6,7]=>[8,5,1,7,4,6,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[1,5,3,6,2,8,4,7]=>[8,4,6,3,7,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[4,6,1,3,7,2,8,5]=>[5,3,8,6,2,7,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[2,6,3,4,8,5,1,7]=>[7,3,6,5,1,4,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[1,7,3,4,8,5,6,2]=>[8,2,6,5,1,4,3,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[3,2,7,5,8,4,6,1]=>[6,7,2,4,1,5,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[2,5,8,6,4,3,7,1]=>[7,4,1,3,5,6,2,8]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[6,4,2,5,7,1,8,3]=>[3,5,7,4,2,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[9,1,2,3,4,5,8,7,6]=>[1,9,8,7,6,5,2,3,4]=>[[1,2,8,9],[3],[4],[5],[6],[7]]=>[7,2]
[8,1,4,5,7,3,6,2]=>[1,8,5,4,2,6,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,6,3,4,2,8,7,1]=>[4,3,6,5,7,1,2,8]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[6,3,5,4,7,8,1,2]=>[3,6,4,5,2,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[4,5,3,2,1,8,6,7]=>[5,4,6,7,8,1,3,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[4,1,6,8,5,2,3,7]=>[5,8,3,1,4,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[4,5,2,8,6,7,1,3]=>[5,4,7,1,3,2,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[4,5,2,8,6,7,3,1]=>[5,4,7,1,3,2,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[4,5,2,1,3,8,6,7]=>[5,4,7,8,6,1,3,2]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[4,2,3,6,8,5,1,7]=>[5,7,6,3,1,4,8,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[3,4,5,8,6,1,7,2]=>[6,5,4,1,3,8,2,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[7,3,1,2,5,4,8,6]=>[2,6,8,7,4,5,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[8,2,6,4,1,3,7,5]=>[1,7,3,5,8,6,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[1,5,8,2,4,3,7,6]=>[8,4,1,7,5,6,2,3]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[1,4,8,2,5,3,7,6]=>[8,5,1,7,4,6,2,3]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[3,2,7,4,1,5,8,6]=>[6,7,2,5,8,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[4,2,7,3,1,5,8,6]=>[5,7,2,6,8,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[6,2,7,3,1,4,8,5]=>[3,7,2,6,8,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[8,3,7,4,1,2,6,5]=>[1,6,2,5,8,7,3,4]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[3,8,5,1,2,6,7,4]=>[6,1,4,8,7,3,2,5]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[5,4,7,8,3,6,1,2]=>[4,5,2,1,6,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,8,7,3,2,4,5,6]=>[8,1,2,6,7,5,4,3]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[8,6,2,7,3,4,1,5]=>[1,3,7,2,6,5,8,4]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,1,6,7,8,3,2,4]=>[4,8,3,2,1,6,7,5]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[5,1,6,7,3,4,2,8]=>[4,8,3,2,6,5,7,1]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[8,6,1,7,3,4,5,2]=>[1,3,8,2,6,5,4,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[6,8,5,1,7,4,2,3]=>[3,1,4,8,2,5,7,6]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[8,4,2,3,5,7,6,1]=>[1,5,7,6,4,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[4,8,5,2,3,1,6,7]=>[5,1,4,7,6,8,3,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[5,4,8,3,1,2,6,7]=>[4,5,1,6,8,7,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[8,4,7,3,2,5,6,1]=>[1,5,2,6,7,4,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[6,8,5,1,7,3,4,2]=>[3,1,4,8,2,6,5,7]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[8,4,2,6,7,1,5,3]=>[1,5,7,3,2,8,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[4,6,7,5,1,8,2,3]=>[5,3,2,4,8,1,7,6]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[7,3,6,8,4,1,2,5]=>[2,6,3,1,5,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[6,4,2,3,7,5,8,1]=>[3,5,7,6,2,4,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[6,3,7,5,1,2,8,4]=>[3,6,2,4,8,7,1,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[8,2,7,6,4,1,3,5]=>[1,7,2,3,5,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[8,5,7,1,4,2,6,3]=>[1,4,2,8,5,7,3,6]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,8,2,5,6,3,7,1]=>[5,1,7,4,3,6,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[8,1,5,7,4,6,2,3]=>[1,8,4,2,5,3,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[4,7,1,5,6,3,2,8]=>[5,2,8,4,3,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,5,7,1,6,3,8,2]=>[5,4,2,8,3,6,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[2,7,1,4,8,3,6,5]=>[7,2,8,5,1,6,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[2,7,1,5,6,8,4,3]=>[7,2,8,4,3,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[2,3,1,8,7,4,6,5]=>[7,6,8,1,2,5,3,4]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[4,6,8,2,1,5,3,7]=>[5,3,1,7,8,4,6,2]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[5,6,8,4,7,2,3,1]=>[4,3,1,5,2,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,5,7,3,6,1,2,8]=>[5,4,2,6,3,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[4,5,8,2,6,1,7,3]=>[5,4,1,7,3,8,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[3,4,5,7,2,1,6,8]=>[6,5,4,2,7,8,3,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,5,6,8,3,2,7,1]=>[5,4,3,1,6,7,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,5,7,2,6,1,8,3]=>[5,4,2,7,3,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[4,6,5,7,2,3,8,1]=>[5,3,4,2,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,3,6,7,4,8,1,2]=>[4,6,3,2,5,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[4,2,7,8,5,6,1,3]=>[5,7,2,1,4,3,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[4,6,7,3,2,8,1,5]=>[5,3,2,6,7,1,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[5,6,2,4,7,8,3,1]=>[4,3,7,5,2,1,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[3,7,4,8,1,6,5,2]=>[6,2,5,1,8,3,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[5,2,6,4,8,7,3,1]=>[4,7,3,5,1,2,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>[3,2,3]
[3,4,2,5,8,1,7,6]=>[6,5,7,4,1,8,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[5,2,6,7,8,1,4,3]=>[4,7,3,2,1,8,5,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[2,5,3,1,7,8,4,6]=>[7,4,6,8,2,1,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[4,5,7,6,2,3,1,8]=>[5,4,2,3,7,6,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[4,8,2,7,5,3,1,6]=>[5,1,7,2,4,6,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[2,4,7,6,5,1,8,3]=>[7,5,2,3,4,8,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[1,2,4,6,5,8,3,7]=>[8,7,5,3,4,1,6,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[2,8,7,1,6,4,3,5]=>[7,1,2,8,3,5,6,4]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[1,3,7,8,6,4,5,2]=>[8,6,2,1,3,5,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[4,8,5,6,3,1,2,7]=>[5,1,4,3,6,8,7,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[5,4,2,3,1,7,8,6]=>[4,5,7,6,8,2,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[2,5,1,7,6,3,4,8]=>[7,4,8,2,3,6,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[4,3,1,5,2,6,7,8]=>[5,6,8,4,7,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[3,5,2,1,4,7,8,6]=>[6,4,7,8,5,2,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[6,2,5,1,8,7,4,3]=>[3,7,4,8,1,2,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[3,5,8,1,7,4,2,6]=>[6,4,1,8,2,5,7,3]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[5,7,8,1,2,3,6,4]=>[4,2,1,8,7,6,3,5]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[6,7,8,3,5,2,4,1]=>[3,2,1,6,4,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[1,3,7,8,4,2,5,6]=>[8,6,2,1,5,7,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,7,8,3,6,1,2,5]=>[5,2,1,6,3,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[4,8,3,7,2,6,5,1]=>[5,1,6,2,7,3,4,8]=>[[1,3,5,7,8],[2,4,6]]=>[2,2,2,2]
[5,8,2,6,3,4,7,1]=>[4,1,7,3,6,5,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,1,4,3,8,2,6,7]=>[4,8,5,6,1,7,3,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[4,2,8,7,3,6,5,1]=>[5,7,1,2,6,3,4,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[4,6,7,8,2,1,5,3]=>[5,3,2,1,7,8,4,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,7,6,3,8,1,5,2]=>[5,2,3,6,1,8,4,7]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[3,7,1,4,8,2,5,6]=>[6,2,8,5,1,7,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[3,8,1,4,6,2,5,7]=>[6,1,8,5,3,7,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[5,8,4,6,3,2,1,7]=>[4,1,5,3,6,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[1,8,3,4,6,2,7,5]=>[8,1,6,5,3,7,2,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[2,3,5,6,8,7,1,4]=>[7,6,4,3,1,2,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[2,4,5,3,8,7,1,6]=>[7,5,4,6,1,2,8,3]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[1,3,5,2,6,8,7,4]=>[8,6,4,7,3,1,2,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[4,7,5,6,2,8,1,3]=>[5,2,4,3,7,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,3,5,8,4,7,1,6]=>[7,6,4,1,5,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[6,7,4,8,5,2,1,3]=>[3,2,5,1,4,7,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[8,7,5,1,6,3,2,4]=>[1,2,4,8,3,6,7,5]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[2,5,8,4,6,1,3,7]=>[7,4,1,5,3,8,6,2]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[8,4,6,7,3,5,2,1]=>[1,5,3,2,6,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[7,4,5,8,3,6,2,1]=>[2,5,4,1,6,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[8,4,7,3,5,6,2,1]=>[1,5,2,6,4,3,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[2,1,6,5,3,4,7,8]=>[7,8,3,4,6,5,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[6,7,2,3,5,4,1,8]=>[3,2,7,6,4,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,8,7,3,6,4,1,2]=>[4,1,2,6,3,5,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[8,3,4,7,6,5,1,2]=>[1,6,5,2,3,4,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,2,4,7,6,1,5,3]=>[1,7,5,2,3,8,4,6]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,3,2,4,1,6,7,5]=>[1,6,7,5,8,3,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[6,8,7,4,2,3,1,5]=>[3,1,2,5,7,6,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[3,1,8,7,4,2,5,6]=>[6,8,1,2,5,7,4,3]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[3,4,8,6,2,1,7,5]=>[6,5,1,3,7,8,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[7,2,4,3,1,8,6,5]=>[2,7,5,6,8,1,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[4,3,1,2,7,5,8,6]=>[5,6,8,7,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[4,8,1,3,6,7,5,2]=>[5,1,8,6,3,2,4,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,6,7,1,3,4,8,2]=>[4,3,2,8,6,5,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[4,6,1,5,7,2,3,8]=>[5,3,8,4,2,7,6,1]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[5,8,3,7,6,1,2,4]=>[4,1,6,2,3,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[6,8,7,3,5,4,1,2]=>[3,1,2,6,4,5,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[4,5,8,3,7,1,6,2]=>[5,4,1,6,2,8,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,7,1,6,5,2,3,8]=>[5,2,8,3,4,7,6,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[6,7,2,4,5,1,3,8]=>[3,2,7,5,4,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,6,2,1,5,3,7,4]=>[1,3,7,8,4,6,2,5]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[1,7,6,5,4,3,2,8,9]=>[9,3,4,5,6,7,8,2,1]=>[[1,3,4,5,6,7],[2],[8],[9]]=>[2,7]
[1,2,8,7,6,5,4,3,9]=>[9,8,2,3,4,5,6,7,1]=>[[1,4,5,6,7,8],[2],[3],[9]]=>[3,6]
[4,8,5,3,2,7,1,6]=>[5,1,4,6,7,2,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[5,4,8,1,3,7,2,6]=>[4,5,1,8,6,2,7,3]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,4,5,3,1,8,6,2]=>[2,5,4,6,8,1,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,8,7,5,1,3,2,4]=>[3,1,2,4,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[7,6,4,2,8,1,5,3]=>[2,3,5,7,1,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>[5,2,1]
[7,3,4,8,6,1,2,5]=>[2,6,5,1,3,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[7,4,3,8,6,1,2,5]=>[2,5,6,1,3,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[2,7,4,8,1,6,3,5]=>[7,2,5,1,8,3,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>[2,2,2,2]
[5,7,4,6,8,2,3,1]=>[4,2,5,3,1,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[7,3,1,5,6,8,2,4]=>[2,6,8,4,3,1,7,5]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[3,4,7,8,6,1,2,5]=>[6,5,2,1,3,8,7,4]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[3,5,7,6,8,1,2,4]=>[6,4,2,3,1,8,7,5]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[1,8,7,5,2,6,4,3]=>[8,1,2,4,7,3,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[1,8,5,6,4,2,3,7]=>[8,1,4,3,5,7,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[6,7,1,8,2,4,3,5]=>[3,2,8,1,7,5,6,4]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,5,8,1,6,7,4,2]=>[6,4,1,8,3,2,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,8,7,6,2,4,5,3]=>[8,1,2,3,7,5,4,6]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[6,4,8,5,7,3,1,2]=>[3,5,1,4,2,6,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[6,2,4,7,1,5,8,3]=>[3,7,5,2,8,4,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[1,6,4,7,2,5,8,3]=>[8,3,5,2,7,4,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[2,7,5,1,8,6,3,4]=>[7,2,4,8,1,3,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[6,8,1,3,2,4,7,5]=>[3,1,8,6,7,5,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[8,5,1,3,4,2,7,6]=>[1,4,8,6,5,7,2,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,3,4,5,1,7,6,2]=>[1,6,5,4,8,2,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,7,1,6,5,3,8,2]=>[5,2,8,3,4,6,1,7]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[8,2,1,4,5,3,6,7]=>[1,7,8,5,4,6,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[8,4,1,5,3,6,2,7]=>[1,5,8,4,6,3,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[4,1,5,6,3,7,8,2]=>[5,8,4,3,6,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[5,6,1,7,4,8,3,2]=>[4,3,8,2,5,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[1,7,5,6,4,8,2,3]=>[8,2,4,3,5,1,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,4,8,5,7,3,1,6]=>[7,5,1,4,2,6,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[4,3,6,7,1,2,8,5]=>[5,6,3,2,8,7,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,3,6,1,2,7,5,4]=>[1,6,3,8,7,2,4,5]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[6,3,1,7,2,8,4,5]=>[3,6,8,2,7,1,5,4]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[2,3,5,4,7,8,1,6]=>[7,6,4,5,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[7,2,6,4,5,8,1,3]=>[2,7,3,5,4,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[4,5,2,3,7,8,1,6]=>[5,4,7,6,2,1,8,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[5,3,4,2,7,8,1,6]=>[4,6,5,7,2,1,8,3]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[5,3,4,6,1,8,2,7]=>[4,6,5,3,8,1,7,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[7,3,4,8,6,5,2,1]=>[2,6,5,1,3,4,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[6,1,3,5,2,8,7,4]=>[3,8,6,4,7,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[2,7,1,5,3,8,6,4]=>[7,2,8,4,6,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[7,4,6,5,2,3,1,8]=>[2,5,3,4,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[3,5,7,2,8,4,1,6]=>[6,4,2,7,1,5,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[7,4,8,2,3,1,6,5]=>[2,5,1,7,6,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[7,3,2,1,4,8,6,5]=>[2,6,7,8,5,1,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[4,2,7,3,5,1,8,6]=>[5,7,2,6,4,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,3,4,6,2,5,8,1]=>[2,6,5,3,7,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[5,7,1,6,8,3,4,2]=>[4,2,8,3,1,6,5,7]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[1,6,7,3,5,8,4,2]=>[8,3,2,6,4,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[8,7,1,6,3,5,2,4]=>[1,2,8,3,6,4,7,5]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,7,2,3,6,5,1,4]=>[1,2,7,6,3,4,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[2,8,1,5,7,6,4,3]=>[7,1,8,4,2,3,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[8,1,2,5,7,6,4,3]=>[1,8,7,4,2,3,5,6]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[8,7,2,6,1,3,5,4]=>[1,2,7,3,8,6,4,5]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,7,2,6,1,5,3,4]=>[1,2,7,3,8,4,6,5]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,1,2,5,8,6,4,3]=>[2,8,7,4,1,3,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[7,1,3,8,2,6,4,5]=>[2,8,6,1,7,3,5,4]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[2,5,8,3,6,7,1,4]=>[7,4,1,6,3,2,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[2,6,8,5,4,7,1,3]=>[7,3,1,4,5,2,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[2,4,7,6,1,3,8,5]=>[7,5,2,3,8,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[5,2,6,7,1,4,3,8]=>[4,7,3,2,8,5,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[2,4,1,5,7,6,3,8]=>[7,5,8,4,2,3,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[6,2,5,3,4,7,1,8]=>[3,7,4,6,5,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[6,4,8,3,1,5,2,7]=>[3,5,1,6,8,4,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[2,7,3,4,1,5,8,6]=>[7,2,6,5,8,4,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[7,3,1,6,2,5,8,4]=>[2,6,8,3,7,4,1,5]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[1,8,4,3,5,2,6,7]=>[8,1,5,6,4,7,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>[2,3,3]
[2,5,8,1,6,7,3,4]=>[7,4,1,8,3,2,6,5]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[4,1,7,2,5,6,3,8]=>[5,8,2,7,4,3,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[1,7,2,6,5,3,4,8]=>[8,2,7,3,4,6,5,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[2,6,1,7,4,3,5,8]=>[7,3,8,2,5,6,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[4,2,6,8,3,5,1,7]=>[5,7,3,1,6,4,8,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,3,8,5,4,1,7,2]=>[3,6,1,4,5,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[6,2,8,3,4,5,1,7]=>[3,7,1,6,5,4,8,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[5,8,6,2,4,3,1,7]=>[4,1,3,7,5,6,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[3,8,2,6,4,5,1,7]=>[6,1,7,3,5,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[2,8,3,4,6,5,1,7]=>[7,1,6,5,3,4,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[3,6,8,7,4,1,5,2]=>[6,3,1,2,5,8,4,7]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[7,1,5,8,2,4,3,6]=>[2,8,4,1,7,5,6,3]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,7,5,6,2,4,3,8]=>[8,2,4,3,7,5,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[4,7,3,5,1,6,8,2]=>[5,2,6,4,8,3,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[3,6,1,8,2,5,7,4]=>[6,3,8,1,7,4,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[7,2,1,8,5,3,6,4]=>[2,7,8,1,4,6,3,5]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[5,2,4,6,1,7,8,3]=>[4,7,5,3,8,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[3,6,4,1,2,5,8,7]=>[6,3,5,8,7,4,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[6,3,1,4,2,5,8,7]=>[3,6,8,5,7,4,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[5,2,3,1,4,6,8,7]=>[4,7,6,8,5,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>[3,4,1]
[3,5,4,1,6,2,8,7]=>[6,4,5,8,3,7,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[8,3,6,2,7,5,4,1]=>[1,6,3,7,2,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[5,4,2,7,1,8,6,3]=>[4,5,7,2,8,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,1,7,6,5,3,2,8]=>[5,8,2,3,4,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[2,3,6,7,1,8,5,4]=>[7,6,3,2,8,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[3,6,1,2,7,8,5,4]=>[6,3,8,7,2,1,4,5]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[4,5,1,8,7,6,3,2]=>[5,4,8,1,2,3,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[3,1,4,5,7,6,2,8]=>[6,8,5,4,2,3,7,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[4,5,1,3,6,8,7,2]=>[5,4,8,6,3,1,2,7]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[3,8,5,1,2,4,6,7]=>[6,1,4,8,7,5,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[5,8,4,1,2,3,6,7]=>[4,1,5,8,7,6,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[2,8,5,7,1,4,3,6]=>[7,1,4,2,8,5,6,3]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[4,8,7,5,1,2,3,6]=>[5,1,2,4,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[7,8,1,2,5,3,4,6]=>[2,1,8,7,4,6,5,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,4,7,2,1,6,3,5]=>[1,5,2,7,8,3,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[4,5,8,2,1,6,7,3]=>[5,4,1,7,8,3,2,6]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[7,4,2,5,3,6,1,8]=>[2,5,7,4,6,3,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[3,1,6,7,5,2,4,8]=>[6,8,3,2,4,7,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[8,4,2,5,3,6,7,1]=>[1,5,7,4,6,3,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[4,8,1,5,3,6,7,2]=>[5,1,8,4,6,3,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[4,1,7,5,2,6,3,8]=>[5,8,2,4,7,3,6,1]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[8,1,5,3,6,7,2,4]=>[1,8,4,6,3,2,7,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[1,7,5,4,6,8,2,3]=>[8,2,4,5,3,1,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[4,7,8,2,5,6,1,3]=>[5,2,1,7,4,3,8,6]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[4,5,2,6,1,8,3,7]=>[5,4,7,3,8,1,6,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[7,1,5,6,8,3,4,2]=>[2,8,4,3,1,6,5,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,1,8,6,7,3,4,2]=>[4,8,1,3,2,6,5,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[6,8,5,3,7,4,1,2]=>[3,1,4,6,2,5,8,7]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[6,3,2,4,1,7,5,8]=>[3,6,7,5,8,2,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,8,3,2,4,1,5,7]=>[3,1,6,7,5,8,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,2,8,3,1,4,5,6]=>[2,7,1,6,8,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>[3,5]
[2,8,1,7,4,3,5,6]=>[7,1,8,2,5,6,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[7,4,3,6,5,1,2,8]=>[2,5,6,3,4,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[7,6,1,8,2,5,4,3]=>[2,3,8,1,7,4,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[4,8,2,3,7,1,5,6]=>[5,1,7,6,2,8,4,3]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,6,7,1,2,5,4,3]=>[1,3,2,8,7,4,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[6,7,4,1,2,8,5,3]=>[3,2,5,8,7,1,4,6]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[4,6,7,8,2,5,1,3]=>[5,3,2,1,7,4,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[6,5,7,1,3,2,4,8]=>[3,4,2,8,6,7,5,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,7,2,6,4,5,3,1]=>[1,2,7,3,5,4,6,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[2,6,1,7,4,5,3,8]=>[7,3,8,2,5,4,6,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[6,3,1,7,4,5,2,8]=>[3,6,8,2,5,4,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[7,2,8,4,3,6,1,5]=>[2,7,1,5,6,3,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[1,6,3,5,8,2,7,4]=>[8,3,6,4,1,7,2,5]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[5,8,3,4,7,6,1,2]=>[4,1,6,5,2,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[1,4,2,8,5,6,7,3]=>[8,5,7,1,4,3,2,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[2,4,5,1,8,6,7,3]=>[7,5,4,8,1,3,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>[3,2,2,1]
[6,4,2,8,5,7,3,1]=>[3,5,7,1,4,2,6,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[5,6,2,1,7,3,4,8]=>[4,3,7,8,2,6,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[5,8,6,3,2,7,1,4]=>[4,1,3,6,7,2,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[5,7,6,3,2,4,8,1]=>[4,2,3,6,7,5,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[5,7,3,2,8,6,4,1]=>[4,2,6,7,1,3,5,8]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[4,6,5,8,2,7,1,3]=>[5,3,4,1,7,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[4,5,1,8,3,7,6,2]=>[5,4,8,1,6,2,3,7]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[5,3,1,6,8,4,2,7]=>[4,6,8,3,1,5,7,2]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[4,5,1,6,8,2,7,3]=>[5,4,8,3,1,7,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[4,3,8,1,5,6,2,7]=>[5,6,1,8,4,3,7,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[4,7,3,1,6,2,5,8]=>[5,2,6,8,3,7,4,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[2,5,4,7,1,3,6,8]=>[7,4,5,2,8,6,3,1]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[3,1,7,4,6,2,5,8]=>[6,8,2,5,3,7,4,1]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[3,6,1,5,7,2,4,8]=>[6,3,8,4,2,7,5,1]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[4,3,7,1,6,2,5,8]=>[5,6,2,8,3,7,4,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[2,4,7,6,1,3,5,8]=>[7,5,2,3,8,6,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[3,2,6,5,1,4,7,8]=>[6,7,3,4,8,5,2,1]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[4,3,6,2,1,5,7,8]=>[5,6,3,7,8,4,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[6,1,5,8,4,2,3,7]=>[3,8,4,1,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[2,5,4,1,3,7,6,8]=>[7,4,5,8,6,2,3,1]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,2,7,4,1,6,5,3]=>[1,7,2,5,8,3,4,6]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[2,1,5,4,8,6,3,7]=>[7,8,4,5,1,3,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[3,7,5,4,6,1,8,2]=>[6,2,4,5,3,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[3,7,6,4,1,5,8,2]=>[6,2,3,5,8,4,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[4,1,2,8,3,5,7,6]=>[5,8,7,1,6,4,2,3]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[6,5,2,4,1,7,3,8]=>[3,4,7,5,8,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,3,5,4,1,2,7,8]=>[3,6,4,5,8,7,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[7,2,6,5,1,4,3,8]=>[2,7,3,4,8,5,6,1]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[7,1,8,4,2,3,6,5]=>[2,8,1,5,7,6,3,4]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[2,7,6,4,5,1,8,3]=>[7,2,3,5,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[7,3,4,6,2,5,1,8]=>[2,6,5,3,7,4,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[5,7,2,3,6,4,1,8]=>[4,2,7,6,3,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,6,8,1,7,3,5,2]=>[5,3,1,8,2,6,4,7]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[6,8,2,7,4,1,3,5]=>[3,1,7,2,5,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,1,4,5,7,2,6,3]=>[1,8,5,4,2,7,3,6]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[8,2,7,1,4,5,3,6]=>[1,7,2,8,5,4,6,3]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[8,1,5,7,2,6,3,4]=>[1,8,4,2,7,3,6,5]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[4,5,6,8,2,1,7,3]=>[5,4,3,1,7,8,2,6]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[4,5,8,3,2,1,7,6]=>[5,4,1,6,7,8,2,3]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[4,8,3,2,1,6,7,5]=>[5,1,6,7,8,3,2,4]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[5,2,8,1,4,6,7,3]=>[4,7,1,8,5,3,2,6]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[5,6,3,7,8,1,4,2]=>[4,3,6,2,1,8,5,7]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[5,7,1,4,3,6,2,8]=>[4,2,8,5,6,3,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,2,3,7,1,5,4,8]=>[3,7,6,2,8,4,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[6,4,2,5,3,7,8,1]=>[3,5,7,4,6,2,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[3,6,2,1,8,7,4,5]=>[6,3,7,8,1,2,5,4]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[7,5,3,6,4,2,1,8]=>[2,4,6,3,5,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[1,6,8,7,5,4,2,3]=>[8,3,1,2,4,5,7,6]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[1,3,6,7,5,2,4,8]=>[8,6,3,2,4,7,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[1,5,2,6,8,7,3,4]=>[8,4,7,3,1,2,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[6,1,5,2,4,3,7,8]=>[3,8,4,7,5,6,2,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[5,3,4,7,2,1,6,8]=>[4,6,5,2,7,8,3,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,5,8,1,4,7,2,3]=>[3,4,1,8,5,2,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[8,6,5,3,4,1,7,2]=>[1,3,4,6,5,8,2,7]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[8,3,6,5,4,1,7,2]=>[1,6,3,4,5,8,2,7]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[6,7,3,5,4,1,8,2]=>[3,2,6,4,5,8,1,7]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,4,7,8,6,1,2,3]=>[4,5,2,1,3,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>[4,4]
[7,1,2,4,5,3,6,8]=>[2,8,7,5,4,6,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[5,3]
[7,2,4,5,8,1,3,6]=>[2,7,5,4,1,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[4,7,3,1,2,8,6,5]=>[5,2,6,8,7,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[4,8,5,7,1,2,3,6]=>[5,1,4,2,8,7,6,3]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[6,2,5,8,1,3,7,4]=>[3,7,4,1,8,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[2,7,5,1,4,6,8,3]=>[7,2,4,8,5,3,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[5,8,6,4,3,1,2,7]=>[4,1,3,5,6,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[6,2,5,1,7,8,3,4]=>[3,7,4,8,2,1,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[6,7,4,3,1,2,8,5]=>[3,2,5,6,8,7,1,4]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[4,2,3,7,6,1,8,5]=>[5,7,6,2,3,8,1,4]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[7,5,2,3,4,1,8,6]=>[2,4,7,6,5,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[1,3,8,5,2,6,4,7]=>[8,6,1,4,7,3,5,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[7,1,6,4,3,2,5,8]=>[2,8,3,5,6,7,4,1]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[7,1,6,4,3,2,8,5]=>[2,8,3,5,6,7,1,4]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[4,6,3,2,7,1,5,8]=>[5,3,6,7,2,8,4,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[1,5,7,4,8,6,2,3]=>[8,4,2,5,1,3,7,6]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[1,6,5,4,7,8,2,3]=>[8,3,4,5,2,1,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,3,5,1,7,8,6,4]=>[7,6,4,8,2,1,3,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[1,2,7,8,6,4,3,5]=>[8,7,2,1,3,5,6,4]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[8,6,7,1,5,4,2,3]=>[1,3,2,8,4,5,7,6]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[5,2,4,1,7,6,8,3]=>[4,7,5,8,2,3,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>[3,2,2,1]
[3,1,8,6,7,4,2,5]=>[6,8,1,3,2,5,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[8,5,7,6,2,4,1,3]=>[1,4,2,3,7,5,8,6]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[8,4,1,3,5,7,6,2]=>[1,5,8,6,4,2,3,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[5,7,1,3,4,8,6,2]=>[4,2,8,6,5,1,3,7]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[5,1,3,4,8,7,6,2]=>[4,8,6,5,1,2,3,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[4,8,7,2,3,1,6,5]=>[5,1,2,7,6,8,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[5,6,8,1,2,4,3,7]=>[4,3,1,8,7,5,6,2]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[1,6,8,5,3,7,2,4]=>[8,3,1,4,6,2,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[5,6,2,8,3,1,4,7]=>[4,3,7,1,6,8,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[2,4,5,7,8,3,1,6]=>[7,5,4,2,1,6,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[3,5,4,7,1,8,2,6]=>[6,4,5,2,8,1,7,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[3,2,6,7,5,1,8,4]=>[6,7,3,2,4,8,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[2,5,6,7,3,4,1,8]=>[7,4,3,2,6,5,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[4,3,2,5,8,7,1,6]=>[5,6,7,4,1,2,8,3]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[2,5,4,3,8,7,1,6]=>[7,4,5,6,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[4,3,2,7,1,8,6,5]=>[5,6,7,2,8,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,6,2,5,7,1,3,8]=>[5,3,7,4,2,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[4,5,7,1,3,6,2,8]=>[5,4,2,8,6,3,7,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[5,7,8,3,6,2,4,1]=>[4,2,1,6,3,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,2,3,1,6,8,4,5]=>[2,7,6,8,3,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[5,7,8,6,2,1,3,4]=>[4,2,1,3,7,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>[3,5]
[6,2,3,1,5,7,4,8]=>[3,7,6,8,4,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[6,2,1,3,7,5,4,8]=>[3,7,8,6,2,4,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[5,7,8,1,6,2,3,4]=>[4,2,1,8,3,7,6,5]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[1,6,2,7,5,4,3,8]=>[8,3,7,2,4,5,6,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[6,4,8,7,1,5,3,2]=>[3,5,1,2,8,4,6,7]=>[[1,2,5,7,8],[3,4,6]]=>[3,3,2]
[4,8,2,1,5,7,3,6]=>[5,1,7,8,4,2,6,3]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[5,2,7,1,6,3,4,8]=>[4,7,2,8,3,6,5,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,8,2,5,1,6,3,7]=>[5,1,7,4,8,3,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[5,8,1,2,4,6,3,7]=>[4,1,8,7,5,3,6,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[5,1,7,3,6,4,2,8]=>[4,8,2,6,3,5,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[3,2,7,5,6,1,4,8]=>[6,7,2,4,3,8,5,1]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[3,2,7,1,6,4,5,8]=>[6,7,2,8,3,5,4,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[6,3,1,7,5,4,2,8]=>[3,6,8,2,4,5,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[7,3,6,8,4,5,2,1]=>[2,6,3,1,5,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[6,2,5,7,8,4,3,1]=>[3,7,4,2,1,5,6,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[5,6,3,2,4,8,7,1]=>[4,3,6,7,5,1,2,8]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[5,6,2,8,3,1,7,4]=>[4,3,7,1,6,8,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[5,6,2,4,3,1,7,8]=>[4,3,7,5,6,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[5,7,6,2,4,3,8,1]=>[4,2,3,7,5,6,1,8]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[5,7,2,6,3,4,1,8]=>[4,2,7,3,6,5,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,1,7,5,8,3,2,4]=>[3,8,2,4,1,6,7,5]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[6,1,3,4,8,5,2,7]=>[3,8,6,5,1,4,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[5,7,2,4,3,8,1,6]=>[4,2,7,5,6,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[5,7,3,2,4,6,8,1]=>[4,2,6,7,5,3,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[7,1,2,6,5,4,8,3]=>[2,8,7,3,4,5,1,6]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[1,4,7,5,6,2,8,3]=>[8,5,2,4,3,7,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[4,5,7,8,2,3,6,1]=>[5,4,2,1,7,6,3,8]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[3,4,5,7,8,2,1,6]=>[6,5,4,2,1,7,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[1,3,4,7,2,6,8,5]=>[8,6,5,2,7,3,1,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[6,4,1,2,5,8,7,3]=>[3,5,8,7,4,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[1,8,6,2,5,4,3,7]=>[8,1,3,7,4,5,6,2]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[1,3,6,8,4,2,7,5]=>[8,6,3,1,5,7,2,4]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[7,5,2,8,3,6,1,4]=>[2,4,7,1,6,3,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[6,2,8,4,7,3,1,5]=>[3,7,1,5,2,6,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[6,4,7,5,1,8,3,2]=>[3,5,2,4,8,1,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[5,3,1,4,8,6,2,7]=>[4,6,8,5,1,3,7,2]=>[[1,2,3],[4,6,7],[5],[8]]=>[5,3]
[5,2,4,8,3,1,6,7]=>[4,7,5,1,6,8,3,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,7,3,5,4,1,6,2]=>[1,2,6,4,5,8,3,7]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[8,4,7,5,3,1,6,2]=>[1,5,2,4,6,8,3,7]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[6,3,8,4,1,7,5,2]=>[3,6,1,5,8,2,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[7,4,5,1,8,6,2,3]=>[2,5,4,8,1,3,7,6]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[1,5,6,2,8,7,3,4]=>[8,4,3,7,1,2,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[6,8,3,1,2,7,5,4]=>[3,1,6,8,7,2,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[2,7,8,3,6,4,1,5]=>[7,2,1,6,3,5,8,4]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[3,8,4,7,6,2,1,5]=>[6,1,5,2,3,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,5,3,7,6,2,1,4]=>[1,4,6,2,3,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[8,1,5,7,6,3,2,4]=>[1,8,4,2,3,6,7,5]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[1,8,6,7,5,3,2,4]=>[8,1,3,2,4,6,7,5]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[5,2,8,6,1,7,4,3]=>[4,7,1,3,8,2,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[8,5,3,1,7,6,2,4]=>[1,4,6,8,2,3,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[7,3,2,6,1,8,4,5]=>[2,6,7,3,8,1,5,4]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[6,2,7,1,3,8,4,5]=>[3,7,2,8,6,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[7,4,8,3,1,6,5,2]=>[2,5,1,6,8,3,4,7]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[7,9,8,6,5,4,3,2,1,10]=>[4,2,3,5,6,7,8,9,10,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[5,4,8,2,3,7,1,6]=>[4,5,1,7,6,2,8,3]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[2,6,1,5,8,3,7,4]=>[7,3,8,4,1,6,2,5]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[8,1,6,3,5,4,2,7]=>[1,8,3,6,4,5,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,1,2,5,3,6,4,7]=>[1,8,7,4,6,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,6,8,1,3,4,7,5]=>[7,3,1,8,6,5,2,4]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[2,3,5,7,6,1,4,8]=>[7,6,4,2,3,8,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[5,2,3,6,4,7,8,1]=>[4,7,6,3,5,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[6,4,8,7,3,5,1,2]=>[3,5,1,2,6,4,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[6,1,4,2,3,5,7,8]=>[3,8,5,7,6,4,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[5,2,6,1,3,8,4,7]=>[4,7,3,8,6,1,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[6,5,1,8,3,7,4,2]=>[3,4,8,1,6,2,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[6,8,4,7,1,2,5,3]=>[3,1,5,2,8,7,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[1,3,7,6,8,4,5,2]=>[8,6,2,3,1,5,4,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,8,7,2,5,6,3,4]=>[8,1,2,7,4,3,6,5]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[1,8,2,6,7,4,3,5]=>[8,1,7,3,2,5,6,4]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[2,5,4,8,7,6,1,3]=>[7,4,5,1,2,3,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[1,8,7,6,3,5,4,2]=>[8,1,2,3,6,4,5,7]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[1,8,5,7,6,4,3,2]=>[8,1,4,2,3,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>[2,2,4]
[7,2,4,1,8,5,3,6]=>[2,7,5,8,1,4,6,3]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[7,3,2,1,4,6,8,5]=>[2,6,7,8,5,3,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,7,3,5,2,1,6,4]=>[1,2,6,4,7,8,3,5]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[6,8,5,3,2,1,7,4]=>[3,1,4,6,7,8,2,5]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[6,7,3,2,1,5,8,4]=>[3,2,6,7,8,4,1,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[7,5,3,2,1,6,8,4]=>[2,4,6,7,8,3,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[8,6,7,3,2,1,5,4]=>[1,3,2,6,7,8,4,5]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[8,2,6,1,3,7,4,5]=>[1,7,3,8,6,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[1,7,5,3,6,2,4,8]=>[8,2,4,6,3,7,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[7,4,6,1,3,5,8,2]=>[2,5,3,8,6,4,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,1,3,5,2,4,8,7]=>[3,8,6,4,7,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,2,5,7,8,1,3,6]=>[5,7,4,2,1,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[1,3,6,2,5,7,4,8]=>[8,6,3,7,4,2,5,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[2,8,4,6,3,5,7,1]=>[7,1,5,3,6,4,2,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[4,8,1,3,6,2,5,7]=>[5,1,8,6,3,7,4,2]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[3,6,8,1,4,7,2,5]=>[6,3,1,8,5,2,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[3,6,1,4,7,8,2,5]=>[6,3,8,5,2,1,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[3,8,4,6,1,2,5,7]=>[6,1,5,3,8,7,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[2,5,3,6,8,1,4,7]=>[7,4,6,3,1,8,5,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[2,5,7,1,3,6,4,8]=>[7,4,2,8,6,3,5,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[2,8,3,5,7,4,6,1]=>[7,1,6,4,2,5,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,4,7,2,5,3,6,8]=>[8,5,2,7,4,6,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[4,5,3,1,2,6,8,7]=>[5,4,6,8,7,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[7,3,5,1,4,2,6,8]=>[2,6,4,8,5,7,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,2,1,7,4,3,8,5]=>[3,7,8,2,5,6,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[7,3,5,2,1,6,4,8]=>[2,6,4,7,8,3,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[2,5,6,1,4,3,7,8]=>[7,4,3,8,5,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[3,6,5,4,1,7,2,8]=>[6,3,4,5,8,2,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[6,8,7,5,4,2,1,3]=>[3,1,2,4,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>[2,6]
[8,7,5,4,6,1,3,2]=>[1,2,4,5,3,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>[5,2,1]
[1,7,8,2,4,6,3,5]=>[8,2,1,7,5,3,6,4]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[1,8,2,6,7,5,4,3]=>[8,1,7,3,2,4,5,6]=>[[1,3,6,7,8],[2],[4],[5]]=>[2,3,3]
[8,5,4,2,7,3,6,1]=>[1,4,5,7,2,6,3,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[8,5,2,7,4,3,6,1]=>[1,4,7,2,5,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[7,4,2,8,5,3,6,1]=>[2,5,7,1,4,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[7,2,6,1,4,3,5,8]=>[2,7,3,8,5,6,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,2,1,8,5,3,4,7]=>[3,7,8,1,4,6,5,2]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[3,8,6,1,2,4,5,7]=>[6,1,3,8,7,5,4,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[5,3,2,1,8,7,4,6]=>[4,6,7,8,1,2,5,3]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[1,8,4,7,2,3,5,6]=>[8,1,5,2,7,6,4,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[3,1,8,7,2,5,4,6]=>[6,8,1,2,7,4,5,3]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[3,8,1,4,2,7,6,5]=>[6,1,8,5,7,2,3,4]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[7,1,5,6,2,3,4,8]=>[2,8,4,3,7,6,5,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[6,5,1,7,2,3,4,8]=>[3,4,8,2,7,6,5,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[1,6,8,2,7,3,4,5]=>[8,3,1,7,2,6,5,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[6,5,1,2,4,7,3,8]=>[3,4,8,7,5,2,6,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[6,1,5,7,2,3,4,8]=>[3,8,4,2,7,6,5,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[4,1,3,6,7,8,5,2]=>[5,8,6,3,2,1,4,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[8,3,6,5,7,2,4,1]=>[1,6,3,4,2,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[4,1,2,6,7,8,5,3]=>[5,8,7,3,2,1,4,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[4,6,1,5,8,3,2,7]=>[5,3,8,4,1,6,7,2]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[2,5,7,1,8,4,6,3]=>[7,4,2,8,1,5,3,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,8,1,5,4,3,2,7]=>[3,1,8,4,5,6,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[7,5,8,1,3,4,6,2]=>[2,4,1,8,6,5,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,6,2,1,4,8,5,3]=>[2,3,7,8,5,1,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,2,6,1,4,8,5,3]=>[2,7,3,8,5,1,4,6]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[2,7,8,1,4,6,5,3]=>[7,2,1,8,5,3,4,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[3,7,8,2,1,4,5,6]=>[6,2,1,7,8,5,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[8,4,7,1,3,5,6,2]=>[1,5,2,8,6,4,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[1,8,6,7,2,4,5,3]=>[8,1,3,2,7,5,4,6]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,7,8,1,4,3,6,2]=>[4,2,1,8,5,6,3,7]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[3,6,7,1,4,5,8,2]=>[6,3,2,8,5,4,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[1,8,5,6,3,4,7,2]=>[8,1,4,3,6,5,2,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,1,4,6,3,7,2,8]=>[4,8,5,3,6,2,7,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[1,4,6,5,2,3,7,8]=>[8,5,3,4,7,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[1,5,4,7,8,3,6,2]=>[8,4,5,2,1,6,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,4,8,5,7,3,6,2]=>[8,5,1,4,2,6,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,2,4,7,8,3,6,1]=>[4,7,5,2,1,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[3,8,6,1,2,7,5,4]=>[6,1,3,8,7,2,4,5]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[4,1,8,5,3,7,2,6]=>[5,8,1,4,6,2,7,3]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[6,1,4,3,7,2,8,5]=>[3,8,5,6,2,7,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[7,1,4,5,8,6,3,2]=>[2,8,5,4,1,3,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,7,4,3,1,6,8,2]=>[4,2,5,6,8,3,1,7]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[5,4,1,6,3,8,2,7]=>[4,5,8,3,6,1,7,2]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[2,4,7,8,3,1,6,5]=>[7,5,2,1,6,8,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[5,4,3,6,8,1,7,2]=>[4,5,6,3,1,8,2,7]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[3,7,4,5,8,1,6,2]=>[6,2,5,4,1,8,3,7]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[1,4,3,5,6,8,2,7]=>[8,5,6,4,3,1,7,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[1,4,6,5,8,2,7,3]=>[8,5,3,4,1,7,2,6]=>[[1,4,6],[2,7,8],[3],[5]]=>[3,2,2,1]
[4,6,1,7,3,2,8,5]=>[5,3,8,2,6,7,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[1,7,3,6,4,2,8,5]=>[8,2,6,3,5,7,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,7,3,5,1,2,8,6]=>[5,2,6,4,8,7,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[1,6,8,4,7,5,3,2]=>[8,3,1,5,2,4,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[8,7,3,1,5,2,6,4]=>[1,2,6,8,4,7,3,5]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[8,7,1,5,6,4,2,3]=>[1,2,8,4,3,5,7,6]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,7,3,6,1,4,5,2]=>[1,2,6,3,8,5,4,7]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,7,1,4,6,3,5,2]=>[1,2,8,5,3,6,4,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[6,8,2,1,3,7,5,4]=>[3,1,7,8,6,2,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[8,2,3,6,7,5,4,1]=>[1,7,6,3,2,4,5,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[8,7,3,6,2,4,5,1]=>[1,2,6,3,7,5,4,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[2,8,7,1,3,5,4,6]=>[7,1,2,8,6,4,5,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[7,1,8,2,4,5,3,6]=>[2,8,1,7,5,4,6,3]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[5,6,1,2,8,7,3,4]=>[4,3,8,7,1,2,6,5]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[1,4,7,5,3,6,8,2]=>[8,5,2,4,6,3,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[8,1,7,5,2,6,3,4]=>[1,8,2,4,7,3,6,5]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[3,8,5,1,7,6,2,4]=>[6,1,4,8,2,3,7,5]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[8,7,1,3,2,6,4,5]=>[1,2,8,6,7,3,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[3,8,5,7,6,2,1,4]=>[6,1,4,2,3,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[7,5,1,2,3,8,4,6]=>[2,4,8,7,6,1,5,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[4,7,3,2,6,5,1,8]=>[5,2,6,7,3,4,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[4,3,7,8,2,1,6,5]=>[5,6,2,1,7,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[4,8,7,2,1,5,6,3]=>[5,1,2,7,8,4,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[7,3,8,2,5,1,6,4]=>[2,6,1,7,4,8,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>[3,2,2,1]
[4,5,3,8,6,1,2,7]=>[5,4,6,1,3,8,7,2]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[6,3,5,8,4,1,2,7]=>[3,6,4,1,5,8,7,2]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[7,3,8,4,5,1,2,6]=>[2,6,1,5,4,8,7,3]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[4,8,7,5,1,2,6,3]=>[5,1,2,4,8,7,3,6]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[7,8,4,6,1,3,5,2]=>[2,1,5,3,8,6,4,7]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[4,8,7,5,1,3,6,2]=>[5,1,2,4,8,6,3,7]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[4,5,3,6,8,1,2,7]=>[5,4,6,3,1,8,7,2]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[7,8,6,2,1,4,3,5]=>[2,1,3,7,8,5,6,4]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,8,6,3,1,2,5,4]=>[2,1,3,6,8,7,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[7,1,8,5,2,6,4,3]=>[2,8,1,4,7,3,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[8,3,7,6,4,1,2,5]=>[1,6,2,3,5,8,7,4]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[4,3,8,6,2,1,5,7]=>[5,6,1,3,7,8,4,2]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[8,7,1,3,2,4,5,6]=>[1,2,8,6,7,5,4,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,4]
[6,8,2,1,4,5,3,7]=>[3,1,7,8,5,4,6,2]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[6,8,2,1,4,5,7,3]=>[3,1,7,8,5,4,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[1,5,4,8,7,3,2,6]=>[8,4,5,1,2,6,7,3]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[4,7,1,3,5,8,2,6]=>[5,2,8,6,4,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[2,5,1,7,3,6,4,8]=>[7,4,8,2,6,3,5,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[7,1,2,4,3,6,8,5]=>[2,8,7,5,6,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[7,3,6,1,4,5,8,2]=>[2,6,3,8,5,4,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,1,4,5,8,3,6,2]=>[2,8,5,4,1,6,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,1,2,4,3,6,5,8]=>[2,8,7,5,6,3,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[3,5,8,1,4,2,6,7]=>[6,4,1,8,5,7,3,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[5,3,4,6,8,7,1,2]=>[4,6,5,3,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[5,8,3,1,2,6,7,4]=>[4,1,6,8,7,3,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[5,7,1,6,3,4,8,2]=>[4,2,8,3,6,5,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[3,5,2,1,6,7,4,8]=>[6,4,7,8,3,2,5,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[6,1,5,2,8,7,4,3]=>[3,8,4,7,1,2,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[2,6,1,5,8,7,4,3]=>[7,3,8,4,1,2,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[7,4,1,2,6,3,5,8]=>[2,5,8,7,3,6,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[6,2,5,1,4,3,7,8]=>[3,7,4,8,5,6,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[6,1,4,7,5,3,2,8]=>[3,8,5,2,4,6,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,5,2,1,7,3,6,8]=>[5,4,7,8,2,6,3,1]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[3,1,2,8,4,7,6,5]=>[6,8,7,1,5,2,3,4]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,4,6,7,1,3,2,8]=>[4,5,3,2,8,6,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[6,4,1,3,8,5,2,7]=>[3,5,8,6,1,4,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[7,1,4,3,8,5,2,6]=>[2,8,5,6,1,4,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[5,3,1,4,6,7,2,8]=>[4,6,8,5,3,2,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[6,5,1,3,4,7,2,8]=>[3,4,8,6,5,2,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>[6,2]
[6,5,1,2,4,3,7,8]=>[3,4,8,7,5,6,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>[5,3]
[4,5,1,8,6,3,2,7]=>[5,4,8,1,3,6,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[8,4,6,3,1,2,7,5]=>[1,5,3,6,8,7,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[8,7,1,4,5,2,3,6]=>[1,2,8,5,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[3,8,6,4,5,1,7,2]=>[6,1,3,5,4,8,2,7]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[4,6,3,5,7,1,2,8]=>[5,3,6,4,2,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[4,7,3,5,8,6,1,2]=>[5,2,6,4,1,3,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[4,8,3,5,6,1,2,7]=>[5,1,6,4,3,8,7,2]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[4,5,6,2,1,8,3,7]=>[5,4,3,7,8,1,6,2]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[6,1,4,5,8,2,3,7]=>[3,8,5,4,1,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[1,7,6,2,8,5,4,3]=>[8,2,3,7,1,4,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[1,7,6,8,3,4,2,5]=>[8,2,3,1,6,5,7,4]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[8,7,3,6,1,4,2,5]=>[1,2,6,3,8,5,7,4]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,2,1,5,6,4,7,3]=>[1,7,8,4,3,5,2,6]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[7,5,6,1,3,4,8,2]=>[2,4,3,8,6,5,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,2,5,1,3,6,8,4]=>[2,7,4,8,6,3,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[8,4,7,3,1,2,6,5]=>[1,5,2,6,8,7,3,4]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[4,8,1,6,2,5,7,3]=>[5,1,8,3,7,4,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[4,7,8,5,2,1,6,3]=>[5,2,1,4,7,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[3,1,8,2,6,5,7,4]=>[6,8,1,7,3,4,2,5]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[6,2,8,3,5,4,1,7]=>[3,7,1,6,4,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[7,3,8,4,6,5,2,1]=>[2,6,1,5,3,4,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[2,4,1,8,6,5,7,3]=>[7,5,8,1,3,4,2,6]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[1,3,8,4,6,5,2,7]=>[8,6,1,5,3,4,7,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>[3,2,3]
[4,6,7,8,5,2,1,3]=>[5,3,2,1,4,7,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[5,6,2,8,4,1,7,3]=>[4,3,7,1,5,8,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[7,2,3,8,4,6,1,5]=>[2,7,6,1,5,3,8,4]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[1,7,3,4,8,2,5,6]=>[8,2,6,5,1,7,4,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[1,4,2,3,7,8,6,5]=>[8,5,7,6,2,1,3,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[6,7,1,2,4,8,3,5]=>[3,2,8,7,5,1,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[3,2,4,8,5,6,1,7]=>[6,7,5,1,4,3,8,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[3,1,7,4,5,2,6,8]=>[6,8,2,5,4,7,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[7,3,4,8,1,2,6,5]=>[2,6,5,1,8,7,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[1,9,7,8,6,5,4,3,2]=>[9,1,3,2,4,5,6,7,8]=>[[1,3,5,6,7,8,9],[2],[4]]=>[2,2,5]
[1,5,8,6,7,4,3,2]=>[8,4,1,3,2,5,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[1,3,4,8,6,2,5,7]=>[8,6,5,1,3,7,4,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[1,2,9,7,5,3,10,8,6,4]=>[10,9,2,4,6,8,1,3,5,7]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>[3,4,3]
[6,3,1,4,5,7,2,8]=>[3,6,8,5,4,2,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[7,4,8,2,1,6,5,3]=>[2,5,1,7,8,3,4,6]=>[[1,2,4,5],[3,6,7,8]]=>[3,3,2]
[1,2,6,3,5,7,4,8]=>[8,7,3,6,4,2,5,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[3,3,2]
[4,6,3,7,5,1,2,8]=>[5,3,6,2,4,8,7,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[7,4,5,8,1,3,6,2]=>[2,5,4,1,8,6,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[1,7,8,6,4,2,5,3]=>[8,2,1,3,5,7,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[7,2,5,8,4,6,1,3]=>[2,7,4,1,5,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[3,6,8,7,5,1,4,2]=>[6,3,1,2,4,8,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[3,1,5,7,4,8,2,6]=>[6,8,4,2,5,1,7,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[7,2,4,6,1,5,8,3]=>[2,7,5,3,8,4,1,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[8,7,1,6,4,2,5,3]=>[1,2,8,3,5,7,4,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[2,6,3,5,1,7,8,4]=>[7,3,6,4,8,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[1,4,6,3,8,2,5,7]=>[8,5,3,6,1,7,4,2]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[8,5,6,4,1,7,3,2]=>[1,4,3,5,8,2,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[8,1,4,6,2,5,7,3]=>[1,8,5,3,7,4,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[5,2,6,8,1,4,3,7]=>[4,7,3,1,8,5,6,2]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[6,7,3,8,2,1,4,5]=>[3,2,6,1,7,8,5,4]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[2,6,3,7,4,5,8,1]=>[7,3,6,2,5,4,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[2,7,3,1,5,8,6,4]=>[7,2,6,8,4,1,3,5]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,7,3,5,4,1,8,6]=>[7,2,6,4,5,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[2,1,4,8,5,3,7,6]=>[7,8,5,1,4,6,2,3]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[2,7,3,8,4,1,6,5]=>[7,2,6,1,5,8,3,4]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[2,6,3,1,5,4,8,7]=>[7,3,6,8,4,5,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,7,3,1,5,4,8,6]=>[7,2,6,8,4,5,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[1,5,8,3,4,7,2,6]=>[8,4,1,6,5,2,7,3]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[5,3,8,1,4,6,2,7]=>[4,6,1,8,5,3,7,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[4,6,3,1,7,2,8,5]=>[5,3,6,8,2,7,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[2,8,1,7,5,4,6,3]=>[7,1,8,2,4,5,3,6]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[6,8,3,1,5,7,2,4]=>[3,1,6,8,4,2,7,5]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[8,7,3,1,2,5,6,4]=>[1,2,6,8,7,4,3,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[1,8,6,2,5,7,4,3]=>[8,1,3,7,4,2,5,6]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[4,7,6,8,5,2,1,3]=>[5,2,3,1,4,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[7,4,5,1,2,6,3,8]=>[2,5,4,8,7,3,6,1]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[4,3,1,8,7,6,2,5]=>[5,6,8,1,2,3,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[5,4,6,1,8,2,7,3]=>[4,5,3,8,1,7,2,6]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[6,4,3,7,8,1,5,2]=>[3,5,6,2,1,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[2,4,6,7,1,5,3,8]=>[7,5,3,2,8,4,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[5,4,3,1,8,6,7,2]=>[4,5,6,8,1,3,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[5,4,3,6,1,7,8,2]=>[4,5,6,3,8,2,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[3,2,7,5,8,1,4,6]=>[6,7,2,4,1,8,5,3]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[3,2,7,8,5,6,1,4]=>[6,7,2,1,4,3,8,5]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[4,8,3,2,1,7,5,6]=>[5,1,6,7,8,2,4,3]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[5,1,2,6,4,7,8,3]=>[4,8,7,3,5,2,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[4,1,6,3,8,5,9,7,2]=>[6,9,4,7,2,5,1,3,8]=>[[1,2,9],[3,4],[5,6],[7,8]]=>[3,2,2,2]
[10,1,2,3,4,5,7,8,9,6]=>[1,10,9,8,7,6,4,3,2,5]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[1,9,7,6,5,4,3,2,8]=>[9,1,3,4,5,6,7,8,2]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[1,9,8,7,6,5,2,3,4]=>[9,1,2,3,4,5,8,7,6]=>[[1,3,4,5,6,7],[2],[8],[9]]=>[2,7]
[1,10,9,8,7,5,4,3,2,6]=>[10,1,2,3,4,6,7,8,9,5]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[1,8,4,5,6,3,2,7]=>[8,1,5,4,3,6,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[1,7,8,6,5,4,3,2,9]=>[9,3,2,4,5,6,7,8,1]=>[[1,4,5,6,7,8],[2],[3],[9]]=>[3,6]
[1,10,8,7,6,5,4,3,2,9]=>[10,1,3,4,5,6,7,8,9,2]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[7,4,3,6,1,8,5,2]=>[2,5,6,3,8,1,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,7,6,1,5,8,2,3]=>[5,2,3,8,4,1,7,6]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[3,4,8,1,6,7,2,5]=>[6,5,1,8,3,2,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[3,6,7,8,4,1,5,2]=>[6,3,2,1,5,8,4,7]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,1]
[3,1,7,8,4,6,2,5]=>[6,8,2,1,5,3,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[4,8,7,3,6,1,2,5]=>[5,1,2,6,3,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[2,4,8,3,6,7,1,5]=>[7,5,1,6,3,2,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[1,6,5,8,7,3,2,4]=>[8,3,4,1,2,6,7,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[3,6,1,4,5,2,7,8]=>[6,3,8,5,4,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[3,8,2,4,5,1,7,6]=>[6,1,7,5,4,8,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[3,7,2,1,5,6,4,8]=>[6,2,7,8,4,3,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[3,6,8,1,5,4,7,2]=>[6,3,1,8,4,5,2,7]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[6,8,5,3,2,4,1,7]=>[3,1,4,6,7,5,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[1,6,8,5,3,2,7,4]=>[8,3,1,4,6,7,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[3,8,5,1,2,7,6,4]=>[6,1,4,8,7,2,3,5]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[3,8,1,7,2,4,6,5]=>[6,1,8,2,7,5,3,4]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[4,3,1,2,7,5,6,8]=>[5,6,8,7,2,4,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[4,1,7,6,8,5,3,2]=>[5,8,2,3,1,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[1,7,6,8,5,3,4,2]=>[8,2,3,1,4,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[4,7,8,5,2,3,6,1]=>[5,2,1,4,7,6,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[4,7,6,1,2,3,8,5]=>[5,2,3,8,7,6,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[2,8,7,6,5,4,3,1,9]=>[8,2,3,4,5,6,7,9,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>[2,7]
[5,3,2,7,8,4,1,6]=>[4,6,7,2,1,5,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[4,5,1,3,7,6,2,8]=>[5,4,8,6,2,3,7,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[1,7,4,5,8,2,3,6]=>[8,2,5,4,1,7,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[1,3,7,5,8,4,6,2]=>[8,6,2,4,1,5,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,6,2,5,4,3,8,7]=>[8,3,7,4,5,6,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[1,7,4,5,6,2,3,8]=>[8,2,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[1,6,2,5,7,4,3,8]=>[8,3,7,4,2,5,6,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[7,3,5,4,1,6,2,8]=>[2,6,4,5,8,3,7,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[3,7,5,6,1,4,2,8]=>[6,2,4,3,8,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[1,7,5,6,3,4,8,2]=>[8,2,4,3,6,5,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,7,2,6,8,4,3,1]=>[4,2,7,3,1,5,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[1,6,2,7,8,5,4,3]=>[8,3,7,2,1,4,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[3,5,6,8,1,7,4,2]=>[6,4,3,1,8,2,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,8,1,2,7,6,4,3]=>[4,1,8,7,2,3,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,5,6,2,4,3,1,8]=>[2,4,3,7,5,6,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[1,4,2,6,7,5,3,8]=>[8,5,7,3,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[1,8,3,7,4,5,2,6]=>[8,1,6,2,5,4,7,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[8,5,7,3,2,6,4,1]=>[1,4,2,6,7,3,5,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[2,8,7,1,5,3,4,6]=>[7,1,2,8,4,6,5,3]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,6,4,3,1,5,2,7]=>[1,3,5,6,8,4,7,2]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[7,2,1,6,4,3,8,5]=>[2,7,8,3,5,6,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[6,8,2,1,3,7,4,5]=>[3,1,7,8,6,2,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[6,7,1,8,2,4,5,3]=>[3,2,8,1,7,5,4,6]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[6,1,7,8,2,3,5,4]=>[3,8,2,1,7,6,4,5]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[1,4,8,7,2,3,6,5]=>[8,5,1,2,7,6,3,4]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[8,5,6,3,1,4,7,2]=>[1,4,3,6,8,5,2,7]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[8,5,1,6,2,4,7,3]=>[1,4,8,3,7,5,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,5,6,2,3,7,1,4]=>[1,4,3,7,6,2,8,5]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[1,8,4,6,2,3,7,5]=>[8,1,5,3,7,6,2,4]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[1,8,3,2,6,5,7,4]=>[8,1,6,7,3,4,2,5]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[8,4,2,6,5,7,1,3]=>[1,5,7,3,4,2,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[4,2,7,8,1,5,3,6]=>[5,7,2,1,8,4,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[4,1,3,6,5,8,2,7]=>[5,8,6,3,4,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[4,3,7,1,5,8,2,6]=>[5,6,2,8,4,1,7,3]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[3,8,4,5,7,6,1,2]=>[6,1,5,4,2,3,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[6,5,3,4,1,7,2,8]=>[3,4,6,5,8,2,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[1,5,6,4,7,8,2,3]=>[8,4,3,5,2,1,7,6]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[1,2,4,8,7,5,6,3]=>[8,7,5,1,2,4,3,6]=>[[1,5,6,8],[2],[3],[4],[7]]=>[4,3,1]
[1,8,6,2,7,4,3,5]=>[8,1,3,7,2,5,6,4]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[3,4,2,7,5,6,8,1]=>[6,5,7,2,4,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[7,2,4,5,1,8,6,3]=>[2,7,5,4,8,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[2,4,1,8,5,3,6,7]=>[7,5,8,1,4,6,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[6,8,2,3,4,5,7,1]=>[3,1,7,6,5,4,2,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[5,8,2,7,1,4,6,3]=>[4,1,7,2,8,5,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[6,8,7,2,1,5,4,3]=>[3,1,2,7,8,4,5,6]=>[[1,3,4,5,8],[2,6,7]]=>[2,4,2]
[6,1,8,3,7,5,4,2]=>[3,8,1,6,2,4,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[6,1,2,8,7,5,4,3]=>[3,8,7,1,2,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[8,1,6,3,7,5,4,2]=>[1,8,3,6,2,4,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[8,5,1,3,7,6,4,2]=>[1,4,8,6,2,3,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[7,8,4,6,5,3,2,1]=>[2,1,5,3,4,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[6,2,3,5,7,1,8,4]=>[3,7,6,4,2,8,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[2,8,1,5,6,4,3,7]=>[7,1,8,4,3,5,6,2]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[2,6,8,3,4,7,5,1]=>[7,3,1,6,5,2,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[6,8,3,4,7,5,1,2]=>[3,1,6,5,2,4,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[8,2,4,7,5,6,1,3]=>[1,7,5,2,4,3,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,4,8,3,1,6,7,2]=>[4,5,1,6,8,3,2,7]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[6,4,2,8,1,5,3,7]=>[3,5,7,1,8,4,6,2]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[3,5,8,1,4,7,6,2]=>[6,4,1,8,5,2,3,7]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[5,8,7,2,6,4,3,1]=>[4,1,2,7,3,5,6,8]=>[[1,3,4,6,7,8],[2,5]]=>[2,3,3]
[8,6,7,2,3,5,4,1]=>[1,3,2,7,6,4,5,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[7,3,6,4,2,1,8,5]=>[2,6,3,5,7,8,1,4]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[4,8,5,2,7,3,1,6]=>[5,1,4,7,2,6,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[7,3,2,1,8,5,6,4]=>[2,6,7,8,1,4,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,5,7,2,4,3,8,6]=>[8,4,2,7,5,6,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[1,2,7,5,8,4,3,6]=>[8,7,2,4,1,5,6,3]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,1,3,8,2,7,4,6]=>[4,8,6,1,7,2,5,3]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[5,7,1,3,2,8,4,6]=>[4,2,8,6,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[7,1,6,3,2,8,4,5]=>[2,8,3,6,7,1,5,4]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[8,1,7,2,3,6,5,4]=>[1,8,2,7,6,3,4,5]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[7,1,2,6,4,3,8,5]=>[2,8,7,3,5,6,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[1,4,7,8,3,2,5,6]=>[8,5,2,1,6,7,4,3]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[8,7,1,3,2,4,6,5]=>[1,2,8,6,7,5,3,4]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,1,6,3,2,4,7,5]=>[1,8,3,6,7,5,2,4]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[1,8,2,7,6,3,5,4]=>[8,1,7,2,3,6,4,5]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[8,2,1,7,6,3,4,5]=>[1,7,8,2,3,6,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[6,8,4,3,5,1,2,7]=>[3,1,5,6,4,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[6,3,8,5,7,2,1,4]=>[3,6,1,4,2,7,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[8,7,3,6,4,1,2,5]=>[1,2,6,3,5,8,7,4]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[8,7,2,3,5,1,4,6]=>[1,2,7,6,4,8,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,7,2,4,3,1,5,6]=>[1,2,7,5,6,8,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[3,7,6,1,2,5,4,8]=>[6,2,3,8,7,4,5,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[2,5,1,3,8,7,6,4]=>[7,4,8,6,1,2,3,5]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[4,7,6,1,3,8,5,2]=>[5,2,3,8,6,1,4,7]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[5,7,4,2,6,8,3,1]=>[4,2,5,7,3,1,6,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[5,1,6,4,8,7,2,3]=>[4,8,3,5,1,2,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[2,8,1,3,5,6,4,7]=>[7,1,8,6,4,3,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[2,6,3,4,7,8,5,1]=>[7,3,6,5,2,1,4,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[7,6,3,1,8,5,2,4]=>[2,3,6,8,1,4,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[7,6,3,8,1,5,2,4]=>[2,3,6,1,8,4,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[1,6,4,7,8,5,3,2]=>[8,3,5,2,1,4,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[7,1,4,6,3,5,2,8]=>[2,8,5,3,6,4,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[3,1,2,6,5,4,8,7]=>[6,8,7,3,4,5,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[1,2,5,6,8,4,3,7]=>[8,7,4,3,1,5,6,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[6,1,5,3,2,7,8,4]=>[3,8,4,6,7,2,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[5,1,6,4,7,8,3,2]=>[4,8,3,5,2,1,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,3,1,2,6,8,7,4]=>[4,6,8,7,3,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[2,7,8,1,5,4,3,6]=>[7,2,1,8,4,5,6,3]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[1,5,2,6,8,7,4,3]=>[8,4,7,3,1,2,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[1,2,3,4,6,7,8,5,9]=>[9,8,7,6,4,3,2,5,1]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[7,2]
[1,8,3,7,5,2,6,4]=>[8,1,6,2,4,7,3,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[8,1,3,6,5,2,7,4]=>[1,8,6,3,4,7,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,1,3,8,5,2,6,4]=>[2,8,6,1,4,7,3,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[4,7,1,5,2,6,8,3]=>[5,2,8,4,7,3,1,6]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[7,4,1,5,2,6,8,3]=>[2,5,8,4,7,3,1,6]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[3,1,6,7,5,2,8,4]=>[6,8,3,2,4,7,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[8,6,2,4,5,1,7,3]=>[1,3,7,5,4,8,2,6]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,6,7,5,2,1,4,3]=>[1,3,2,4,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[7,1,4,5,2,6,8,3]=>[2,8,5,4,7,3,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[3,1,7,4,2,8,5,6]=>[6,8,2,5,7,1,4,3]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[6,5,1,8,2,3,7,4]=>[3,4,8,1,7,6,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[4,2,1,7,6,3,8,5]=>[5,7,8,2,3,6,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[4,1,7,6,5,2,8,3]=>[5,8,2,3,4,7,1,6]=>[[1,2,5,6],[3,4],[7,8]]=>[3,4,1]
[5,4,2,1,7,3,8,6]=>[4,5,7,8,2,6,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[5,4,1,6,2,8,7,3]=>[4,5,8,3,7,1,2,6]=>[[1,2,3],[4,5,8],[6,7]]=>[4,2,2]
[6,2,4,5,1,7,3,8]=>[3,7,5,4,8,2,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,3,6,1,5,7,4,8]=>[7,6,3,8,4,2,5,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[7,5,6,2,3,8,1,4]=>[2,4,3,7,6,1,8,5]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[6,1,4,7,3,2,5,8]=>[3,8,5,2,6,7,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,4,5,3,6,1,7,2]=>[1,5,4,6,3,8,2,7]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[5,2,3,1,6,7,4,8]=>[4,7,6,8,3,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[2,8,4,7,3,5,6,1]=>[7,1,5,2,6,4,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[1,5,8,6,7,4,2,3]=>[8,4,1,3,2,5,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[8,7,1,3,5,2,6,4]=>[1,2,8,6,4,7,3,5]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[4,7,6,5,8,1,3,2]=>[5,2,3,4,1,8,6,7]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[5,1,4,7,6,8,3,2]=>[4,8,5,2,3,1,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,6,4,7,1,8,3,2]=>[4,3,5,2,8,1,6,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[5,3,7,4,6,1,8,2]=>[4,6,2,5,3,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[4,1,5,7,8,6,3,2]=>[5,8,4,2,1,3,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,6,7,1,5,4,8,2]=>[6,3,2,8,4,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[3,6,4,7,5,8,2,1]=>[6,3,5,2,4,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[8,1,7,3,2,4,5,6]=>[1,8,2,6,7,5,4,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[6,5,3,7,8,1,4,2]=>[3,4,6,2,1,8,5,7]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[6,4,7,1,5,2,8,3]=>[3,5,2,8,4,7,1,6]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[5,6,7,4,2,1,8,3]=>[4,3,2,5,7,8,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[5,3,4,7,8,2,6,1]=>[4,6,5,2,1,7,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[5,7,3,8,4,2,1,6]=>[4,2,6,1,5,7,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[4,8,1,3,5,2,7,6]=>[5,1,8,6,4,7,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[4,1,6,8,2,5,3,7]=>[5,8,3,1,7,4,6,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[3,2,7,4,5,1,8,6]=>[6,7,2,5,4,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[7,3,1,8,4,5,2,6]=>[2,6,8,1,5,4,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[5,3,7,1,4,6,2,8]=>[4,6,2,8,5,3,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[2,7,1,5,4,6,3,8]=>[7,2,8,4,5,3,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[3,7,2,5,4,6,8,1]=>[6,2,7,4,5,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[3,8,6,5,7,4,2,1]=>[6,1,3,4,2,5,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>[2,3,3]
[4,1,7,2,5,8,3,6]=>[5,8,2,7,4,1,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[2,6,1,7,8,4,3,5]=>[7,3,8,2,1,5,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[3,2,5,8,6,1,7,4]=>[6,7,4,1,3,8,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[3,4,2,5,8,6,1,7]=>[6,5,7,4,1,3,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[4,5,1,7,2,8,6,3]=>[5,4,8,2,7,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[2,8,5,3,6,7,4,1]=>[7,1,4,6,3,2,5,8]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[5,4,2,3,8,7,1,6]=>[4,5,7,6,1,2,8,3]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[7,3,6,4,1,8,2,5]=>[2,6,3,5,8,1,7,4]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[3,8,6,1,5,7,2,4]=>[6,1,3,8,4,2,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[6,4,7,2,5,3,1,8]=>[3,5,2,7,4,6,8,1]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[1,8,6,3,5,4,7,2]=>[8,1,3,6,4,5,2,7]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[5,4,1,8,6,3,7,2]=>[4,5,8,1,3,6,2,7]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[6,1,2,4,3,8,5,7]=>[3,8,7,5,6,1,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,3,1,5,4,8,7,2]=>[3,6,8,4,5,1,2,7]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[7,2,1,8,5,4,6,3]=>[2,7,8,1,4,5,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[1,6,3,7,5,4,8,2]=>[8,3,6,2,4,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[7,1,3,8,5,4,2,6]=>[2,8,6,1,4,5,7,3]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,8,7,3,5,1,6,2]=>[5,1,2,6,4,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[5,3,8,7,1,6,2,4]=>[4,6,1,2,8,3,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[4,5,1,7,8,2,6,3]=>[5,4,8,2,1,7,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>[2,3,2,1]
[3,5,1,7,4,2,8,6]=>[6,4,8,2,5,7,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[4,2,5,7,1,3,8,6]=>[5,7,4,2,8,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[3,5,2,6,1,8,4,7]=>[6,4,7,3,8,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[5,2,6,7,4,3,1,8]=>[4,7,3,2,5,6,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[8,6,3,5,2,7,1,4]=>[1,3,6,4,7,2,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[8,5,2,1,6,4,7,3]=>[1,4,7,8,3,5,2,6]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[6,7,1,4,8,5,3,2]=>[3,2,8,5,1,4,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[6,1,3,7,8,5,4,2]=>[3,8,6,2,1,4,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,6,8,5,4,2,1,7]=>[6,3,1,4,5,7,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[8,2,7,6,3,5,1,4]=>[1,7,2,3,6,4,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[1,6,7,3,5,8,2,4]=>[8,3,2,6,4,1,7,5]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[1,3,2,5,6,7,8,9,4]=>[9,7,8,5,4,3,2,1,6]=>[[1,3],[2,9],[4],[5],[6],[7],[8]]=>[2,6,1]
[6,4,1,7,5,8,2,3]=>[3,5,8,2,4,1,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[1,6,5,8,3,4,7,2]=>[8,3,4,1,6,5,2,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,2,4,7,6,1,3,8]=>[4,7,5,2,3,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[6,1,8,4,7,5,2,3]=>[3,8,1,5,2,4,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,6,2,5,7,3,1,8]=>[5,3,7,4,2,6,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,5,1,8,6,2,7,3]=>[5,4,8,1,3,7,2,6]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[4,5,1,6,8,7,3,2]=>[5,4,8,3,1,2,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,8,3,4,5,6,1,7]=>[7,1,6,5,4,3,8,2]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[5,8,7,3,2,1,4,6]=>[4,1,2,6,7,8,5,3]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[3,4,7,6,8,2,1,5]=>[6,5,2,3,1,7,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[2,8,1,3,7,5,6,4]=>[7,1,8,6,2,4,3,5]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[7,6,1,2,5,8,4,3]=>[2,3,8,7,4,1,5,6]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[4,1,6,2,5,8,3,7]=>[5,8,3,7,4,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[2,5,7,6,8,3,1,4]=>[7,4,2,3,1,6,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[6,3,4,8,5,2,1,7]=>[3,6,5,1,4,7,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[6,7,1,3,5,4,8,2]=>[3,2,8,6,4,5,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[1,6,8,5,3,4,7,2]=>[8,3,1,4,6,5,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[3,8,4,6,5,1,7,2]=>[6,1,5,3,4,8,2,7]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[7,3,1,2,6,8,5,4]=>[2,6,8,7,3,1,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[1,7,4,8,5,3,2,6]=>[8,2,5,1,4,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[8,4,5,1,6,7,3,2]=>[1,5,4,8,3,2,6,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[8,5,1,4,6,7,3,2]=>[1,4,8,5,3,2,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[4,8,5,6,1,7,2,3]=>[5,1,4,3,8,2,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[2,5,8,6,3,7,4,1]=>[7,4,1,3,6,2,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[3,4,7,2,8,6,5,1]=>[6,5,2,7,1,3,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[7,4,1,2,5,3,6,8]=>[2,5,8,7,4,6,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[4,3,7,5,1,2,6,8]=>[5,6,2,4,8,7,3,1]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[7,4,2,1,5,3,6,8]=>[2,5,7,8,4,6,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,2,4,3,1,5,6,8]=>[2,7,5,6,8,4,3,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[6,3,1,4,8,5,7,2]=>[3,6,8,5,1,4,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[4,8,1,7,5,6,3,2]=>[5,1,8,2,4,3,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[4,6,5,1,2,3,7,8]=>[5,3,4,8,7,6,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>[2,6]
[1,8,7,3,6,4,2,5]=>[8,1,2,6,3,5,7,4]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[1,2,6,5,8,3,4,7]=>[8,7,3,4,1,6,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[6,3,5,1,4,2,7,8]=>[3,6,4,8,5,7,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[8,1,6,7,3,5,2,4]=>[1,8,3,2,6,4,7,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[7,3,6,8,1,2,5,4]=>[2,6,3,1,8,7,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[7,3,2,1,5,8,6,4]=>[2,6,7,8,4,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[4,1,5,7,2,6,3,8]=>[5,8,4,2,7,3,6,1]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[5,7,2,1,3,6,4,8]=>[4,2,7,8,6,3,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[2,6,8,7,3,5,4,1]=>[7,3,1,2,6,4,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[6,4,7,5,2,3,1,8]=>[3,5,2,4,7,6,8,1]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,6,7,2,8,5,4,3]=>[8,3,2,7,1,4,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[5,3,2,1,7,8,6,4]=>[4,6,7,8,2,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[7,4,3,8,6,1,5,2]=>[2,5,6,1,3,8,4,7]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[4,3,7,1,5,8,6,2]=>[5,6,2,8,4,1,3,7]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[4,8,7,2,6,1,3,5]=>[5,1,2,7,3,8,6,4]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[6,8,4,1,7,3,2,5]=>[3,1,5,8,2,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[5,6,4,3,2,1,7,8,9]=>[5,4,6,7,8,9,3,2,1]=>[[1,3,4,5,6],[2],[7],[8],[9]]=>[2,7]
[4,5,3,2,1,6,7,8,9]=>[6,5,7,8,9,4,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8],[9]]=>[2,7]
[7,6,8,9,5,4,3,2,1]=>[3,4,2,1,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,5]
[5,7,9,8,6,4,3,2,1]=>[5,3,1,2,4,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,6]
[6,3,1,8,2,7,5,4]=>[3,6,8,1,7,2,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[3,8,5,2,1,7,6,4]=>[6,1,4,7,8,2,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,2,9,8,7,6,5,1,4]=>[7,8,1,2,3,4,5,9,6]=>[[1,2,5,6,7,8],[3,4,9]]=>[3,6]
[1,8,2,4,5,3,7,6]=>[8,1,7,5,4,6,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[3,5,8,6,2,1,7,4]=>[6,4,1,3,7,8,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[5,8,2,1,3,6,4,7]=>[4,1,7,8,6,3,5,2]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[2,8,6,1,7,5,4,3]=>[7,1,3,8,2,4,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[8,2,3,7,1,6,4,5]=>[1,7,6,2,8,3,5,4]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,5,1,7,3,4,6,2]=>[1,4,8,2,6,5,3,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,4,6,1,5,3,7,2]=>[1,5,3,8,4,6,2,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[4,1,2,6,5,7,3,8]=>[5,8,7,3,4,2,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[8,6,5,4,1,7,3,2]=>[1,3,4,5,8,2,6,7]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[8,3,5,6,4,1,7,2]=>[1,6,4,3,5,8,2,7]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,1,5,7,3,6,4,8]=>[7,8,4,2,6,3,5,1]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,4,5,8,2,1,3,7]=>[3,5,4,1,7,8,6,2]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[1,3,6,2,8,5,7,4]=>[8,6,3,7,1,4,2,5]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,3,8,6,1,7,2,4]=>[4,6,1,3,8,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>[3,3,2]
[7,1,5,6,4,8,2,3]=>[2,8,4,3,5,1,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[1,8,3,6,2,5,7,4]=>[8,1,6,3,7,4,2,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[6,4,2,3,1,7,8,5]=>[3,5,7,6,8,2,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,8,3,5,2,6,4,7]=>[8,1,6,4,7,3,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,4,6,1,8,5,7,2]=>[6,5,3,8,1,4,2,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[2,3,8,7,4,5,1,6]=>[7,6,1,2,5,4,8,3]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[1,8,3,5,7,4,2,6]=>[8,1,6,4,2,5,7,3]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[2,5,8,4,6,7,1,3]=>[7,4,1,5,3,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[9,8,6,1,2,3,4,5,7]=>[1,2,4,9,8,7,6,5,3]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9]
[9,8,7,5,1,2,3,4,6]=>[1,2,3,5,9,8,7,6,4]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[9]
[9,8,7,6,4,1,2,3,5]=>[1,2,3,4,6,9,8,7,5]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9]
[9,8,7,6,5,3,1,2,4]=>[1,2,3,4,5,7,9,8,6]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[7,1,2,6,5,3,4,8]=>[2,8,7,3,4,6,5,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[5,1,2,7,4,3,8,6]=>[4,8,7,2,5,6,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[6,4,3,5,1,7,8,2]=>[3,5,6,4,8,2,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[2,7,4,6,3,5,8,1]=>[7,2,5,3,6,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[4,3,6,7,2,5,8,1]=>[5,6,3,2,7,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[4,3,6,8,2,5,1,7]=>[5,6,3,1,7,4,8,2]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[4,7,8,6,2,3,5,1]=>[5,2,1,3,7,6,4,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[2,8,4,7,3,1,5,6]=>[7,1,5,2,6,8,4,3]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[7,1,2,4,8,6,5,3]=>[2,8,7,5,1,3,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,5,4,1,8,7,6,2]=>[6,4,5,8,1,2,3,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[5,2,4,1,8,7,6,3]=>[4,7,5,8,1,2,3,6]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[2,5,3,1,8,7,6,4]=>[7,4,6,8,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[2,7,5,6,4,8,1,3]=>[7,2,4,3,5,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[2,7,3,5,6,1,8,4]=>[7,2,6,4,3,8,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[4,8,2,5,6,1,7,3]=>[5,1,7,4,3,8,2,6]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[3,8,4,7,1,5,6,2]=>[6,1,5,2,8,4,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[3,6,7,1,5,8,4,2]=>[6,3,2,8,4,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[2,8,3,6,5,7,1,4]=>[7,1,6,3,4,2,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,3,7,1,8,6,2,5]=>[5,6,2,8,1,3,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[3,8,1,6,2,4,7,5]=>[6,1,8,3,7,5,2,4]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,5,8,4,1,6,7,3]=>[7,4,1,5,8,3,2,6]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[9,3,8,7,6,5,4,2,1]=>[1,7,2,3,4,5,6,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,6]
[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,6]
[10,2,9,8,7,6,5,4,3,1]=>[1,9,2,3,4,5,6,7,8,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,7]
[3,1,2,4,8,7,5,6]=>[6,8,7,5,1,2,4,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[5,4,1,2,3,7,8,6]=>[4,5,8,7,6,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[7,5,1,8,2,3,4,6]=>[2,4,8,1,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[8,2,4,1,3,7,5,6]=>[1,7,5,8,6,2,4,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[8,1,6,2,3,7,4,5]=>[1,8,3,7,6,2,5,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[4,7,2,5,3,8,1,6]=>[5,2,7,4,6,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[3,5,7,4,2,8,1,6]=>[6,4,2,5,7,1,8,3]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[5,8,6,1,4,2,3,7]=>[4,1,3,8,5,7,6,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[5,7,2,4,1,6,8,3]=>[4,2,7,5,8,3,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[5,6,2,1,8,7,4,3]=>[4,3,7,8,1,2,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[1,6,5,8,3,2,4,7]=>[8,3,4,1,6,7,5,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[8,6,1,3,2,7,5,4]=>[1,3,8,6,7,2,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[8,2,7,5,4,1,6,3]=>[1,7,2,4,5,8,3,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[6,2,1,5,7,8,3,4]=>[3,7,8,4,2,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[4,8,5,1,2,6,3,7]=>[5,1,4,8,7,3,6,2]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[5,3,7,6,2,8,1,4]=>[4,6,2,3,7,1,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[5,2,6,7,4,8,3,1]=>[4,7,3,2,5,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[2,6,5,8,3,7,4,1]=>[7,3,4,1,6,2,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[3,6,5,7,8,1,4,2]=>[6,3,4,2,1,8,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[3,7,6,5,4,1,2,8]=>[6,2,3,4,5,8,7,1]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[7,6,8,3,1,4,2,5]=>[2,3,1,6,8,5,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,5,1,7,3,6,4,2]=>[1,4,8,2,6,3,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[6,5,8,1,7,3,2,4]=>[3,4,1,8,2,6,7,5]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[6,4,8,1,5,2,3,7]=>[3,5,1,8,4,7,6,2]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[7,2,4,1,6,3,5,8]=>[2,7,5,8,3,6,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[5,2,4,1,3,6,8,7]=>[4,7,5,8,6,3,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[2,6,1,5,3,4,8,7]=>[7,3,8,4,6,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[2,8,7,3,1,4,5,6]=>[7,1,2,6,8,5,4,3]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[5,6,1,2,4,7,8,3]=>[4,3,8,7,5,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[7,8,5,1,4,6,2,3]=>[2,1,4,8,5,3,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[8,4,7,6,3,1,2,5]=>[1,5,2,3,6,8,7,4]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[7,8,1,2,4,5,3,6]=>[2,1,8,7,5,4,6,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[1,8,5,7,3,2,6,4]=>[8,1,4,2,6,7,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[1,7,5,8,3,2,6,4]=>[8,2,4,1,6,7,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[8,3,2,4,1,6,5,7]=>[1,6,7,5,8,3,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,2,4,3,6,1,5,8]=>[2,7,5,6,3,8,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[6,3,2,4,7,1,5,8]=>[3,6,7,5,2,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[6,7,3,4,2,1,8,5]=>[3,2,6,5,7,8,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,6,8,7,4,5,1,2]=>[6,3,1,2,5,4,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[7,4,2,8,5,3,1,6]=>[2,5,7,1,4,6,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[7,2,8,3,6,4,1,5]=>[2,7,1,6,3,5,8,4]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[4,2,5,8,6,3,1,7]=>[5,7,4,1,3,6,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[5,8,3,4,6,2,1,7]=>[4,1,6,5,3,7,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[6,8,1,7,3,4,5,2]=>[3,1,8,2,6,5,4,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[6,7,1,5,4,3,2,8]=>[3,2,8,4,5,6,7,1]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[5,8,4,1,3,2,7,6]=>[4,1,5,8,6,7,2,3]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[4,3,6,5,1,7,2,8]=>[5,6,3,4,8,2,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[6,8,1,5,3,7,4,2]=>[3,1,8,4,6,2,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[7,8,1,3,4,2,5,6]=>[2,1,8,6,5,7,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[2,7,4,8,3,1,6,5]=>[7,2,5,1,6,8,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[4,5,2,1,6,3,8,7]=>[5,4,7,8,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[4,5,2,1,6,7,3,8]=>[5,4,7,8,3,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[3,6,2,8,5,7,1,4]=>[6,3,7,1,4,2,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>[2,2,2,2]
[4,6,5,8,1,7,3,2]=>[5,3,4,1,8,2,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,1,3,6,4,8,7,5]=>[7,8,6,3,5,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[8,6,7,3,1,5,4,2]=>[1,3,2,6,8,4,5,7]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[6,4,5,2,7,8,3,1]=>[3,5,4,7,2,1,6,8]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[7,4,1,5,2,8,3,6]=>[2,5,8,4,7,1,6,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[4,2,2]
[1,6,4,3,8,7,5,2]=>[8,3,5,6,1,2,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[6,8,3,5,2,4,7,1]=>[3,1,6,4,7,5,2,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[7,2,5,3,1,4,6,8]=>[2,7,4,6,8,5,3,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[3,8,7,6,1,5,2,4]=>[6,1,2,3,8,4,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[3,1,5,8,2,4,7,6]=>[6,8,4,1,7,5,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[1,3,8,6,4,5,7,2]=>[8,6,1,3,5,4,2,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>[3,4,1]
[2,5,8,7,3,1,4,6]=>[7,4,1,2,6,8,5,3]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[7,2,5,3,8,1,6,4]=>[2,7,4,6,1,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[8,4,2,5,1,7,6,3]=>[1,5,7,4,8,2,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[2,7,4,8,5,1,6,3]=>[7,2,5,1,4,8,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[6,4,1,7,5,3,8,2]=>[3,5,8,2,4,6,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[5,1,3,7,4,6,8,2]=>[4,8,6,2,5,3,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[7,1,2,6,4,8,5,3]=>[2,8,7,3,5,1,4,6]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[3,8,7,2,6,1,4,5]=>[6,1,2,7,3,8,5,4]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,1,5,7,2,3,4,6]=>[1,8,4,2,7,6,5,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[3,8,4,2,1,7,5,6]=>[6,1,5,7,8,2,4,3]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[8,4,5,1,6,7,2,3]=>[1,5,4,8,3,2,7,6]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[4,2,5,1,7,8,6,3]=>[5,7,4,8,2,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>[3,3,2]
[8,4,7,3,1,5,2,6]=>[1,5,2,6,8,4,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[4,1,6,3,8,2,5,7]=>[5,8,3,6,1,7,4,2]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[5,2,8,7,4,1,3,6]=>[4,7,1,2,5,8,6,3]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[2,5,1,8,3,6,4,7]=>[7,4,8,1,6,3,5,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[5,3,8,1,6,2,7,4]=>[4,6,1,8,3,7,2,5]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[5,2,8,7,1,3,6,4]=>[4,7,1,2,8,6,3,5]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[4,1,5,8,2,3,7,6]=>[5,8,4,1,7,6,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[4,8,1,2,6,3,5,7]=>[5,1,8,7,3,6,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[8,2,5,4,3,6,1,7]=>[1,7,4,5,6,3,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[2,5,1,4,6,8,3,7]=>[7,4,8,5,3,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[7,6,1,8,3,4,5,2]=>[2,3,8,1,6,5,4,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[5,8,4,7,3,2,1,6]=>[4,1,5,2,6,7,8,3]=>[[1,3,5,6,7],[2,4,8]]=>[2,2,4]
[8,5,4,2,7,3,1,6]=>[1,4,5,7,2,6,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,6,8,4,2,7,1,3]=>[4,3,1,5,7,2,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[4,8,6,5,7,1,3,2]=>[5,1,3,4,2,8,6,7]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[8,2,3,7,6,1,4,5]=>[1,7,6,2,3,8,5,4]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,3,4,2,7,6,1,5]=>[1,6,5,7,2,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[8,7,5,6,4,1,3,2]=>[1,2,4,3,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[8,7,4,2,3,6,5,1]=>[1,2,5,7,6,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[8,4,2,3,7,6,5,1]=>[1,5,7,6,2,3,4,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[6,3,4,1,7,2,5,8]=>[3,6,5,8,2,7,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[4,6,2,8,5,3,1,7]=>[5,3,7,1,4,6,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[6,5,3,2,1,7,4,8]=>[3,4,6,7,8,2,5,1]=>[[1,2,3,4,5],[6,7],[8]]=>[6,2]
[1,6,7,3,4,8,2,5]=>[8,3,2,6,5,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[5,1,3,6,4,7,8,2]=>[4,8,6,3,5,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[5,4,1,7,8,6,2,3]=>[4,5,8,2,1,3,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[5,3,4,7,8,1,6,2]=>[4,6,5,2,1,8,3,7]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[2,4,1,7,3,6,5,8]=>[7,5,8,2,6,3,4,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,8,5,6,7,1,4,2]=>[6,1,4,3,2,8,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[7,5,6,1,4,2,3,8]=>[2,4,3,8,5,7,6,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,2,1,6,5,4,8,3]=>[2,7,8,3,4,5,1,6]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[7,3,1,5,6,4,8,2]=>[2,6,8,4,3,5,1,7]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[2,5,7,6,3,8,1,4]=>[7,4,2,3,6,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[1,5,7,6,3,4,2,8]=>[8,4,2,3,6,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[3,5,1,8,6,2,7,4]=>[6,4,8,1,3,7,2,5]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[4,8,5,6,3,7,2,1]=>[5,1,4,3,6,2,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[3,8,5,7,2,1,4,6]=>[6,1,4,2,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[4,5,7,2,6,8,3,1]=>[5,4,2,7,3,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[4,2,5,3,6,8,1,7]=>[5,7,4,6,3,1,8,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[8,1,2,7,3,5,4,6]=>[1,8,7,2,6,4,5,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[5,7,1,2,6,3,4,8]=>[4,2,8,7,3,6,5,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[1,2,7,5,6,3,4,8]=>[8,7,2,4,3,6,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[5,1,4,7,2,3,6,8]=>[4,8,5,2,7,6,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[4,8,1,2,3,6,5,7]=>[5,1,8,7,6,3,4,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[2,4,6,8,1,9,7,5,3]=>[8,6,4,2,9,1,3,5,7]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>[4,2,3]
[6,8,5,4,3,2,1,9,7]=>[4,2,5,6,7,8,9,1,3]=>[[1,3,4,5,6,7],[2,9],[8]]=>[2,6,1]
[4,6,3,2,1,7,5,8,9,10]=>[7,5,8,9,10,4,6,3,2,1]=>[[1,3,4,5],[2,7],[6],[8],[9],[10]]=>[2,4,4]
[2,4,6,8,1,9,7,5,3,10]=>[9,7,5,3,10,2,4,6,8,1]=>[[1,5,8,9],[2,7],[3],[4],[6],[10]]=>[4,2,4]
[7,9,6,5,4,3,2,1,10,8]=>[4,2,5,6,7,8,9,10,1,3]=>[[1,3,4,5,6,7,8],[2,10],[9]]=>[2,7,1]
[4,5,1,3,2,6,8,7]=>[5,4,8,6,7,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[6,7,2,4,1,8,3,5]=>[3,2,7,5,8,1,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>[2,2,2,2]
[5,4,1,6,2,7,8,3]=>[4,5,8,3,7,2,1,6]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[7,4,5,2,1,8,3,6]=>[2,5,4,7,8,1,6,3]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[6,7,2,3,8,1,5,4]=>[3,2,7,6,1,8,4,5]=>[[1,3,6],[2,4,8],[5,7]]=>[2,3,2,1]
[3,8,5,4,7,1,2,6]=>[6,1,4,5,2,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[1,4,8,3,6,2,7,5]=>[8,5,1,6,3,7,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[6,3,2,4,8,7,1,5]=>[3,6,7,5,1,2,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,3,2,7,4,1,5,6]=>[1,6,7,2,5,8,4,3]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,3,2,6,5,8,1,4]=>[2,6,7,3,4,1,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[2,7,1,5,8,6,4,3]=>[7,2,8,4,1,3,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[6,4,7,2,3,8,5,1]=>[3,5,2,7,6,1,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[6,1,8,5,7,4,2,3]=>[3,8,1,4,2,5,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[4,6,7,5,3,1,8,2]=>[5,3,2,4,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[5,4,6,2,8,7,3,1]=>[4,5,3,7,1,2,6,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[1,2,4,8,5,6,3,7]=>[8,7,5,1,4,3,6,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[4,2,2]
[1,8,3,4,2,6,5,7]=>[8,1,6,5,7,3,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[5,2,4,6,7,1,8,3]=>[4,7,5,3,2,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[7,4,8,6,3,5,1,2]=>[2,5,1,3,6,4,8,7]=>[[1,2,5,7],[3,4,6,8]]=>[3,3,2]
[8,3,4,6,1,5,7,2]=>[1,6,5,3,8,4,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[7,2,4,3,6,1,8,5]=>[2,7,5,6,3,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[6,2,4,7,3,1,8,5]=>[3,7,5,2,6,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,4,8,7,5,1,2,6]=>[6,5,1,2,4,8,7,3]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[6,3,7,1,4,2,8,5]=>[3,6,2,8,5,7,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[4,7,2,1,5,8,3,6]=>[5,2,7,8,4,1,6,3]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[5,7,2,1,3,4,8,6]=>[4,2,7,8,6,5,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[5,6,2,3,1,4,8,7]=>[4,3,7,6,8,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[5,3,4,6,1,2,8,7]=>[4,6,5,3,8,7,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[3,5,1,4,8,7,6,2]=>[6,4,8,5,1,2,3,7]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[8,2,4,6,5,1,7,3]=>[1,7,5,3,4,8,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[1,8,4,6,5,2,7,3]=>[8,1,5,3,4,7,2,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[1,7,5,4,6,8,3,2]=>[8,2,4,5,3,1,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[5,2,3,7,8,6,1,4]=>[4,7,6,2,1,3,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[5,7,1,4,3,6,8,2]=>[4,2,8,5,6,3,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,8,4,6,2,1,7,3]=>[4,1,5,3,7,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,7,4,6,2,3,8,1]=>[4,2,5,3,7,6,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[1,5,8,4,2,3,7,6]=>[8,4,1,5,7,6,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[4,1,8,2,7,5,3,6]=>[5,8,1,7,2,4,6,3]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[2,8,6,1,7,5,3,4]=>[7,1,3,8,2,4,6,5]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[3,1,6,8,7,5,4,2]=>[6,8,3,1,2,4,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[3,1,8,7,5,6,4,2]=>[6,8,1,2,4,3,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[5,1,8,7,6,3,4,2]=>[4,8,1,2,3,6,5,7]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[8,2,7,5,3,6,4,1]=>[1,7,2,4,6,3,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[8,7,2,3,1,5,6,4]=>[1,2,7,6,8,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[2,8,5,7,6,1,3,4]=>[7,1,4,2,3,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[1,8,7,2,6,4,5,3]=>[8,1,2,7,3,5,4,6]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[8,7,2,1,6,4,5,3]=>[1,2,7,8,3,5,4,6]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,8,4,7,6,2,5,3]=>[8,1,5,2,3,7,4,6]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[8,7,1,6,4,3,5,2]=>[1,2,8,3,5,6,4,7]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[8,4,1,7,3,6,5,2]=>[1,5,8,2,6,3,4,7]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[1,3,5,8,4,2,6,7]=>[8,6,4,1,5,7,3,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[3,7,8,2,1,5,6,4]=>[6,2,1,7,8,4,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[4,3,8,5,2,7,6,1]=>[5,6,1,4,7,2,3,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[2,4,6,7,3,5,1,8]=>[7,5,3,2,6,4,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[1,7,3,6,8,2,5,4]=>[8,2,6,3,1,7,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[4,3,7,6,2,5,8,1]=>[5,6,2,3,7,4,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[6,4,2,5,7,8,1,3]=>[3,5,7,4,2,1,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[3,8,4,6,2,7,5,1]=>[6,1,5,3,7,2,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[5,4,1,6,7,3,8,2]=>[4,5,8,3,2,6,1,7]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[2,6,5,8,3,4,7,1]=>[7,3,4,1,6,5,2,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[4,3,8,5,2,6,1,7]=>[5,6,1,4,7,3,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[3,6,5,4,1,8,2,7]=>[6,3,4,5,8,1,7,2]=>[[1,3,4,5],[2,7],[6,8]]=>[2,4,2]
[3,6,4,7,5,2,1,8]=>[6,3,5,2,4,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[8,5,4,7,3,1,6,2]=>[1,4,5,2,6,8,3,7]=>[[1,2,3,5,6],[4,7,8]]=>[4,3,1]
[2,8,4,5,3,1,7,6]=>[7,1,5,4,6,8,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[7,2,5,3,4,1,8,6]=>[2,7,4,6,5,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>[3,2,2,1]
[2,6,5,4,1,8,7,3]=>[7,3,4,5,8,1,2,6]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[2,6,5,4,1,7,3,8]=>[7,3,4,5,8,2,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,6,4,1,2,8,7,3]=>[4,3,5,8,7,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[5,7,4,1,2,6,8,3]=>[4,2,5,8,7,3,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[2,8,6,7,5,3,1,4]=>[7,1,3,2,4,6,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[8,6,3,5,4,1,7,2]=>[1,3,6,4,5,8,2,7]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[8,6,2,5,3,1,4,7]=>[1,3,7,4,6,8,5,2]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[8,4,7,3,1,2,5,6]=>[1,5,2,6,8,7,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[4,3,7,6,1,5,2,8]=>[5,6,2,3,8,4,7,1]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[7,5,4,3,6,1,8,2]=>[2,4,5,6,3,8,1,7]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[1,4,8,7,6,2,5,3]=>[8,5,1,2,3,7,4,6]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[8,5,3,4,1,7,2,6]=>[1,4,6,5,8,2,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,4,6,5,3,2,8,1]=>[2,5,3,4,6,7,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[5,6,7,2,3,8,4,1]=>[4,3,2,7,6,1,5,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[3,2,1,7,4,6,8,5]=>[6,7,8,2,5,3,1,4]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[1,5,3,4,7,2,6,8]=>[8,4,6,5,2,7,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[3,1,8,7,6,2,5,4]=>[6,8,1,2,3,7,4,5]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[1,3,8,6,7,2,5,4]=>[8,6,1,3,2,7,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[5,2,3,6,1,8,4,7]=>[4,7,6,3,8,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[2,7,4,6,8,3,5,1]=>[7,2,5,3,1,6,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,5,7,6,8,4,2,3]=>[8,4,2,3,1,5,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[8,1,6,5,4,3,7,2]=>[1,8,3,4,5,6,2,7]=>[[1,2,4,5,6,8],[3],[7]]=>[3,4,1]
[8,1,5,2,6,4,7,3]=>[1,8,4,7,3,5,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[4,1,7,2,5,3,6,8]=>[5,8,2,7,4,6,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[1,7,3,6,2,4,8,5]=>[8,2,6,3,7,5,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[5,3,4,6,1,7,2,8]=>[4,6,5,3,8,2,7,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[3,1,5,8,4,7,2,6]=>[6,8,4,1,5,2,7,3]=>[[1,2,7],[3,5,8],[4,6]]=>[4,2,2]
[8,2,1,4,5,7,3,6]=>[1,7,8,5,4,2,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[8,7,5,2,6,4,1,3]=>[1,2,4,7,3,5,8,6]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[4,1,8,5,7,2,6,3]=>[5,8,1,4,2,7,3,6]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[4,1,8,2,7,5,6,3]=>[5,8,1,7,2,4,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,6,8,2,4,3,5,1]=>[2,3,1,7,5,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[5,1,7,2,4,8,6,3]=>[4,8,2,7,5,1,3,6]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[4,8,2,3,6,5,1,7]=>[5,1,7,6,3,4,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[8,7,2,6,4,5,1,3]=>[1,2,7,3,5,4,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>[4,2,2]
[2,6,4,8,3,5,1,7]=>[7,3,5,1,6,4,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[5,6,3,1,8,2,4,7]=>[4,3,6,8,1,7,5,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[6,5,7,2,1,3,8,4]=>[3,4,2,7,8,6,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[4,1,2,6,7,5,8,3]=>[5,8,7,3,2,4,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[4,3,2,6,8,7,1,5]=>[5,6,7,3,1,2,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[7,5,6,4,1,8,3,2]=>[2,4,3,5,8,1,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[7,1,3,5,6,8,2,4]=>[2,8,6,4,3,1,7,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[2,5,4,3,8,1,7,6]=>[7,4,5,6,1,8,2,3]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[5,4,8,3,1,2,7,6]=>[4,5,1,6,8,7,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,6,2,8,1,3,5,4]=>[2,3,7,1,8,6,4,5]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[7,1,4,6,8,5,3,2]=>[2,8,5,3,1,4,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[7,2,5,1,6,4,8,3]=>[2,7,4,8,3,5,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[2,7,1,5,6,4,8,3]=>[7,2,8,4,3,5,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[1,5,7,8,4,6,3,2]=>[8,4,2,1,5,3,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[1,4,8,5,7,6,3,2]=>[8,5,1,4,2,3,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>[3,2,3]
[2,8,1,5,6,4,7,3]=>[7,1,8,4,3,5,2,6]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[3,7,2,8,1,5,6,4]=>[6,2,7,1,8,4,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[7,3,2,5,1,6,8,4]=>[2,6,7,4,8,3,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[8,7,2,1,3,6,5,4]=>[1,2,7,8,6,3,4,5]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[7,3,2,8,1,4,6,5]=>[2,6,7,1,8,5,3,4]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[3,6,2,1,8,4,7,5]=>[6,3,7,8,1,5,2,4]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[3,5,1,7,6,4,8,2]=>[6,4,8,2,3,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[8,7,4,2,1,6,5,3]=>[1,2,5,7,8,3,4,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[3,7,6,5,4,1,8,2]=>[6,2,3,4,5,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[4,7,1,8,5,3,2,6]=>[5,2,8,1,4,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>[2,2,4]
[5,1,8,4,3,6,2,7]=>[4,8,1,5,6,3,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[8,6,7,1,4,3,5,2]=>[1,3,2,8,5,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,7,3,2,6,5,4,1]=>[1,2,6,7,3,4,5,8]=>[[1,2,3,4,7,8],[5,6]]=>[5,3]
[8,3,4,1,2,7,6,5]=>[1,6,5,8,7,2,3,4]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[8,5,6,1,7,4,2,3]=>[1,4,3,8,2,5,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[4,1,6,8,2,7,5,3]=>[5,8,3,1,7,2,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,1,5,4,2,7,3,8]=>[3,8,4,5,7,2,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[6,4,2,3,1,7,5,8]=>[3,5,7,6,8,2,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[3,4,6,1,8,2,7,5]=>[6,5,3,8,1,7,2,4]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[6,4,5,2,7,1,3,8]=>[3,5,4,7,2,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[7,4,3,5,1,6,2,8]=>[2,5,6,4,8,3,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,5,3,6,2,1,4,8]=>[2,4,6,3,7,8,5,1]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[6,4,3,7,1,8,2,5]=>[3,5,6,2,8,1,7,4]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[3,1,2,7,6,4,5,8]=>[6,8,7,2,3,5,4,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[5,6,1,7,2,4,3,8]=>[4,3,8,2,7,5,6,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[5,1,8,6,2,7,4,3]=>[4,8,1,3,7,2,5,6]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[8,6,7,1,3,5,4,2]=>[1,3,2,8,6,4,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[3,4,1,5,8,7,6,2]=>[6,5,8,4,1,2,3,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[2,5,8,3,6,1,7,4]=>[7,4,1,6,3,8,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[6,7,2,5,4,3,8,1]=>[3,2,7,4,5,6,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[2,3,5,6,8,4,1,7]=>[7,6,4,3,1,5,8,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[6,7,1,5,3,4,2,8]=>[3,2,8,4,6,5,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[6,4,3,7,1,8,5,2]=>[3,5,6,2,8,1,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,3,6,2,5,8,1,7]=>[5,6,3,7,4,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[8,9,7,6,5,4,2,1,3]=>[2,1,3,4,5,6,8,9,7]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[1,6,4,5,7,3,2,8]=>[8,3,5,4,2,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[1,6,4,5,7,2,8,3]=>[8,3,5,4,2,7,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[1,5,6,7,3,2,4,8]=>[8,4,3,2,6,7,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[3,1,5,4,2,7,8,6]=>[6,8,4,5,7,2,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[5,4,1,6,8,3,2,7]=>[4,5,8,3,1,6,7,2]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,4,1,3,7,6,2,8]=>[4,5,8,6,2,3,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,4,7,6,1,3,2,8]=>[4,5,2,3,8,6,7,1]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[1,4,6,5,8,3,2,7]=>[8,5,3,4,1,6,7,2]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[5,2,4,3,8,7,1,6]=>[4,7,5,6,1,2,8,3]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[3,2,8,4,1,7,5,6]=>[6,7,1,5,8,2,4,3]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[8,2,4,3,1,7,5,6]=>[1,7,5,6,8,2,4,3]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[5,4,6,7,2,1,8,3]=>[4,5,3,2,7,8,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[6,7,2,5,4,1,8,3]=>[3,2,7,4,5,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[3,1,8,4,7,5,6,2]=>[6,8,1,5,2,4,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[8,6,2,5,1,3,7,4]=>[1,3,7,4,8,6,2,5]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[3,8,2,4,1,6,5,7]=>[6,1,7,5,8,3,4,2]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[2,4,3,5,8,6,1,7]=>[7,5,6,4,1,3,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>[2,3,3]
[8,4,3,1,5,2,6,7]=>[1,5,6,8,4,7,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[7,1,6,8,3,2,4,5]=>[2,8,3,1,6,7,5,4]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[5,7,2,6,4,1,8,3]=>[4,2,7,3,5,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,1,7,6,2,3,5,4]=>[1,8,2,3,7,6,4,5]=>[[1,2,4,5,8],[3],[6],[7]]=>[3,4,1]
[7,4,3,1,6,8,2,5]=>[2,5,6,8,3,1,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>[6,2]
[3,8,4,5,6,7,1,2]=>[6,1,5,4,3,2,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[2,1,3,7,4,6,8,5]=>[7,8,6,2,5,3,1,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[5,7,1,8,3,2,6,4]=>[4,2,8,1,6,7,3,5]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[7,2,4,1,8,6,5,3]=>[2,7,5,8,1,3,4,6]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[7,2,3,5,1,6,4,8]=>[2,7,6,4,8,3,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,1,3,8,6,4,7,5]=>[7,8,6,1,3,5,2,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[7,4,8,1,3,2,5,6]=>[2,5,1,8,6,7,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[4,7,6,1,3,2,5,8]=>[5,2,3,8,6,7,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[5,8,4,3,7,6,2,1]=>[4,1,5,6,2,3,7,8]=>[[1,3,4,7,8],[2,5,6]]=>[2,3,3]
[1,5,8,6,4,3,7,2]=>[8,4,1,3,5,6,2,7]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[2,6,1,8,4,7,5,3]=>[7,3,8,1,5,2,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[3,7,6,2,1,4,8,5]=>[6,2,3,7,8,5,1,4]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[3,6,7,4,2,1,8,5]=>[6,3,2,5,7,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[4,8,5,6,3,7,1,2]=>[5,1,4,3,6,2,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[4,8,3,6,5,7,2,1]=>[5,1,6,3,4,2,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[6,8,7,5,1,3,4,2]=>[3,1,2,4,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[2,7,6,1,5,3,8,4]=>[7,2,3,8,4,6,1,5]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[6,4,5,8,7,1,3,2]=>[3,5,4,1,2,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[7,5,6,3,2,1,8,4]=>[2,4,3,6,7,8,1,5]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[1,7,4,6,2,5,8,3]=>[8,2,5,3,7,4,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,5,2,3,6,1,8,4]=>[2,4,7,6,3,8,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[7,5,3,6,2,1,8,4]=>[2,4,6,3,7,8,1,5]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[7,6,3,2,1,4,8,5]=>[2,3,6,7,8,5,1,4]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[6,2,3,4,5,7,8,9,10,1]=>[5,9,8,7,6,4,3,2,1,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[6,4,2,1,5,7,8,3]=>[3,5,7,8,4,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[6,4,3,8,7,2,5,1]=>[3,5,6,1,2,7,4,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[5,4,7,2,1,3,8,6]=>[4,5,2,7,8,6,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>[3,4,1]
[6,5,3,2,7,8,4,1]=>[3,4,6,7,2,1,5,8]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[3,7,4,6,1,5,8,2]=>[6,2,5,3,8,4,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,6,3,1,4,7,2,8]=>[4,3,6,8,5,2,7,1]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[2,3,5,8,4,7,6,1]=>[7,6,4,1,5,2,3,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[8,2,6,5,1,4,7,3]=>[1,7,3,4,8,5,2,6]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[5,6,3,1,8,4,2,7]=>[4,3,6,8,1,5,7,2]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[6,7,2,1,4,8,3,5]=>[3,2,7,8,5,1,6,4]=>[[1,3,4],[2,5,7],[6,8]]=>[2,4,2]
[8,6,7,3,2,5,4,1]=>[1,3,2,6,7,4,5,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[5,1,4,6,2,7,8,3]=>[4,8,5,3,7,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[6,1,3,7,2,8,4,5]=>[3,8,6,2,7,1,5,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,1,5,8,2,6,7,4]=>[6,8,4,1,7,3,2,5]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[2,1,3,7,5,8,4,6]=>[7,8,6,2,4,1,5,3]=>[[1,2,7],[3,5],[4,8],[6]]=>[4,2,2]
[6,2,4,5,7,1,8,3]=>[3,7,5,4,2,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[2,7,8,3,5,1,4,6]=>[7,2,1,6,4,8,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[2,4,1,3,7,6,5,8]=>[7,5,8,6,2,3,4,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[5,6,8,1,4,7,3,2]=>[4,3,1,8,5,2,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[4,9,8,1,7,6,5,3,2]=>[6,1,2,9,3,4,5,7,8]=>[[1,3,4,6,7,8,9],[2,5]]=>[2,3,4]
[6,3,4,1,8,2,5,7]=>[3,6,5,8,1,7,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[5,1,8,7,3,6,2,4]=>[4,8,1,2,6,3,7,5]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[4,6,8,2,3,1,7,5]=>[5,3,1,7,6,8,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[4,7,2,3,5,1,8,6]=>[5,2,7,6,4,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[6,4,2,1,3,7,5,8]=>[3,5,7,8,6,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[5,3,2,7,6,1,8,4]=>[4,6,7,2,3,8,1,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[5,7,4,2,6,1,8,3]=>[4,2,5,7,3,8,1,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[5,4,7,1,6,2,8,3]=>[4,5,2,8,3,7,1,6]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[4,5,8,7,6,2,1,3]=>[5,4,1,2,3,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[5,7,1,8,2,4,3,6]=>[4,2,8,1,7,5,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[6,7,1,2,5,8,4,3]=>[3,2,8,7,4,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[8,1,4,6,5,2,3,7]=>[1,8,5,3,4,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[1,8,3,7,6,2,5,4]=>[8,1,6,2,3,7,4,5]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[1,3,2,7,4,6,8,5]=>[8,6,7,2,5,3,1,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[1,3,8,4,6,2,7,5]=>[8,6,1,5,3,7,2,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[6,4,3,5,1,7,2,8]=>[3,5,6,4,8,2,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[5,8,4,6,7,2,3,1]=>[4,1,5,3,2,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[4,2,5,8,6,7,3,1]=>[5,7,4,1,3,2,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,1,3,8,5,4,2,7]=>[3,8,6,1,4,5,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[3,6,1,2,5,4,7,8]=>[6,3,8,7,4,5,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,6,4,2,1,7,3,8]=>[4,3,5,7,8,2,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[3,2,7,6,5,1,8,4]=>[6,7,2,3,4,8,1,5]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[2,3,7,6,4,8,5,1]=>[7,6,2,3,5,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[3,6,7,5,4,1,8,2]=>[6,3,2,4,5,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[8,4,5,1,2,3,7,6]=>[1,5,4,8,7,6,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[4,1,7,2,3,8,6,5]=>[5,8,2,7,6,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[7,4,5,1,6,8,2,3]=>[2,5,4,8,3,1,7,6]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[6,2,1,4,5,8,3,7]=>[3,7,8,5,4,1,6,2]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,4,8,5,2,7,3,1]=>[3,5,1,4,7,2,6,8]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[6,2,3,1,8,4,5,7]=>[3,7,6,8,1,5,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[5,4,2,7,1,3,8,6]=>[4,5,7,2,8,6,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[3,7,1,5,2,4,8,6]=>[6,2,8,4,7,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[6,4,7,5,1,2,3,8]=>[3,5,2,4,8,7,6,1]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[1,7,5,8,3,2,4,6]=>[8,2,4,1,6,7,5,3]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[1,3,8,5,7,2,4,6]=>[8,6,1,4,2,7,5,3]=>[[1,4,6],[2,7],[3,8],[5]]=>[3,2,3]
[8,3,2,5,6,4,1,7]=>[1,6,7,4,3,5,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[3,2,8,5,6,4,1,7]=>[6,7,1,4,3,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[3,8,2,5,6,4,1,7]=>[6,1,7,4,3,5,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[5,2,6,8,7,1,4,3]=>[4,7,3,1,2,8,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[8,1,5,6,2,7,4,3]=>[1,8,4,3,7,2,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,2,1,5,3,7,8,4]=>[3,7,8,4,6,2,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[2,7,4,3,1,5,8,6]=>[7,2,5,6,8,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[3,8,1,6,2,7,4,5]=>[6,1,8,3,7,2,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>[2,2,2,2]
[8,5,1,6,3,7,4,2]=>[1,4,8,3,6,2,5,7]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[1,5,2,7,3,6,8,4]=>[8,4,7,2,6,3,1,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[1,5,8,3,2,6,4,7]=>[8,4,1,6,7,3,5,2]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[4,1,7,8,3,6,5,2]=>[5,8,2,1,6,3,4,7]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,4,2,1,7,3,5,8]=>[3,5,7,8,2,6,4,1]=>[[1,2,3,4],[5,6],[7],[8]]=>[5,3]
[5,8,4,2,1,3,6,7]=>[4,1,5,7,8,6,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,8,1,2,3,5,4,7]=>[3,1,8,7,6,4,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[6,3,5,7,1,8,2,4]=>[3,6,4,2,8,1,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[6,4,2,5,7,8,3,1]=>[3,5,7,4,2,1,6,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,3,6,2,4,1,5,8]=>[2,6,3,7,5,8,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[5,4,1,2,3,6,8,7]=>[4,5,8,7,6,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[2,7,8,3,5,1,6,4]=>[7,2,1,6,4,8,3,5]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[2,5,7,8,1,3,6,4]=>[7,4,2,1,8,6,3,5]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[5,8,1,6,4,7,2,3]=>[4,1,8,3,5,2,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>[2,2,2,2]
[2,3,7,1,8,5,6,4]=>[7,6,2,8,1,4,3,5]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,6,5,1,8,7,4,2]=>[6,3,4,8,1,2,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[7,4,5,8,1,3,2,6]=>[2,5,4,1,8,6,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[5,7,2,1,6,4,3,8]=>[4,2,7,8,3,5,6,1]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[8,7,2,1,6,4,3,5]=>[1,2,7,8,3,5,6,4]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,1,7,2,6,5,3,4]=>[1,8,2,7,3,4,6,5]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[3,1,2,7,6,5,4,8]=>[6,8,7,2,3,4,5,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[2,7,8,1,6,4,3,5]=>[7,2,1,8,3,5,6,4]=>[[1,4,6,7],[2,5],[3,8]]=>[3,2,3]
[4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[3,4,7,6,1,5,2,8]=>[6,5,2,3,8,4,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[3,8,4,1,6,5,7,2]=>[6,1,5,8,3,4,2,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[1,8,5,2,6,4,7,3]=>[8,1,4,7,3,5,2,6]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[7,3,5,6,1,4,2,8]=>[2,6,4,3,8,5,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[4,5,8,1,7,3,6,2]=>[5,4,1,8,2,6,3,7]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[4,7,1,6,8,5,2,3]=>[5,2,8,3,1,4,7,6]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[4,1,8,3,2,5,7,6]=>[5,8,1,6,7,4,2,3]=>[[1,2,5],[3,4,8],[6],[7]]=>[3,4,1]
[8,4,2,1,6,3,7,5]=>[1,5,7,8,3,6,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[8,2,6,1,5,7,4,3]=>[1,7,3,8,4,2,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,2,1,3,5,7,6,4]=>[1,7,8,6,4,2,3,5]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[8,2,5,7,6,1,4,3]=>[1,7,4,2,3,8,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[5,7,1,6,4,2,8,3]=>[4,2,8,3,5,7,1,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[2,7,1,6,5,8,4,3]=>[7,2,8,3,4,1,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[2,3,6,1,7,5,4,8]=>[7,6,3,8,2,4,5,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[2,7,1,4,8,6,5,3]=>[7,2,8,5,1,3,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[6,7,5,4,1,3,2,8]=>[3,2,4,5,8,6,7,1]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[5,8,6,3,2,4,7,1]=>[4,1,3,6,7,5,2,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[6,2,7,1,4,3,5,8]=>[3,7,2,8,5,6,4,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[4,1,3,5,2,7,6,8]=>[5,8,6,4,7,2,3,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[9,3,2,1,4,5,6,7,8]=>[1,7,8,9,6,5,4,3,2]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9]
[9,4,3,2,1,5,6,7,8]=>[1,6,7,8,9,5,4,3,2]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[9]
[9,5,4,3,2,1,6,7,8]=>[1,5,6,7,8,9,4,3,2]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9]
[10,3,2,1,4,5,6,7,8,9]=>[1,8,9,10,7,6,5,4,3,2]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10]
[10,4,3,2,1,5,6,7,8,9]=>[1,7,8,9,10,6,5,4,3,2]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10]
[10,5,4,3,2,1,6,7,8,9]=>[1,6,7,8,9,10,5,4,3,2]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10]
[10,6,5,4,3,2,1,7,8,9]=>[1,5,6,7,8,9,10,4,3,2]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10]
[6,2,8,5,4,3,7,1]=>[3,7,1,4,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[5,8,4,7,6,1,2,3]=>[4,1,5,2,3,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,3,2,7,5,1,6,4]=>[1,6,7,2,4,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,3,4,2,1,6,7,5]=>[1,6,5,7,8,3,2,4]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[8,7,4,3,1,2,6,5]=>[1,2,5,6,8,7,3,4]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[2,5,3,7,1,4,6,8]=>[7,4,6,2,8,5,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[2,6,8,4,7,1,3,5]=>[7,3,1,5,2,8,6,4]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[2,7,8,4,1,5,3,6]=>[7,2,1,5,8,4,6,3]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[8,3,4,2,1,5,7,6]=>[1,6,5,7,8,4,2,3]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[6,1,3,8,4,7,5,2]=>[3,8,6,1,5,2,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,3,1,8,7,4,6,2]=>[4,6,8,1,2,5,3,7]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[4,5,1,7,8,6,3,2]=>[5,4,8,2,1,3,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[7,4,8,1,2,6,5,3]=>[2,5,1,8,7,3,4,6]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[1,6,8,3,7,5,4,2]=>[8,3,1,6,2,4,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[7,2,4,1,8,6,3,5]=>[2,7,5,8,1,3,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[1,6,8,2,7,3,5,4]=>[8,3,1,7,2,6,4,5]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[5,4,8,1,7,2,3,6]=>[4,5,1,8,2,7,6,3]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[2,7,6,5,4,3,1,8,9]=>[8,3,4,5,6,7,9,2,1]=>[[1,3,4,5,6,7],[2],[8],[9]]=>[2,7]
[2,9,8,7,6,5,4,3,1,10]=>[9,2,3,4,5,6,7,8,10,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[3,7,8,2,5,1,6,4]=>[6,2,1,7,4,8,3,5]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[7,3,8,2,4,1,5,6]=>[2,6,1,7,5,8,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[5,1,8,6,7,2,3,4]=>[4,8,1,3,2,7,6,5]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[5,7,1,6,8,2,3,4]=>[4,2,8,3,1,7,6,5]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[6,3,2,8,1,7,4,5]=>[3,6,7,1,8,2,5,4]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[1,8,5,6,3,7,4,2]=>[8,1,4,3,6,2,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[6,7,8,2,4,1,5,3]=>[3,2,1,7,5,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[6,4,1,3,7,8,5,2]=>[3,5,8,6,2,1,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[2,3,1,7,4,6,5,8]=>[7,6,8,2,5,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[2,8,3,7,5,4,6,1]=>[7,1,6,2,4,5,3,8]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[6,8,5,4,3,7,1,2]=>[3,1,4,5,6,2,8,7]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[1,8,3,2,7,4,5,6]=>[8,1,6,7,2,5,4,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[1,8,6,7,4,3,5,2]=>[8,1,3,2,5,6,4,7]=>[[1,3,5,6,8],[2,7],[4]]=>[2,2,3,1]
[1,7,8,2,3,4,6,5]=>[8,2,1,7,6,5,3,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[3,7,2,1,6,5,8,4]=>[6,2,7,8,3,4,1,5]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[1,6,3,4,2,8,5,7]=>[8,3,6,5,7,1,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[5,2,3,8,1,6,4,7]=>[4,7,6,1,8,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[2,7,8,4,3,1,5,6]=>[7,2,1,5,6,8,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[7,4,2,1,6,3,8,5]=>[2,5,7,8,3,6,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>[5,2,1]
[3,5,8,4,2,7,1,6]=>[6,4,1,5,7,2,8,3]=>[[1,4,5,7],[2,6,8],[3]]=>[3,3,2]
[3,5,6,7,4,1,2,8]=>[6,4,3,2,5,8,7,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[5,1,3,6,8,4,2,7]=>[4,8,6,3,1,5,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,3]
[5,6,4,8,7,1,2,3]=>[4,3,5,1,2,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>[2,2,4]
[6,5,4,2,8,7,3,1]=>[3,4,5,7,1,2,6,8]=>[[1,2,3,4,8],[5,6,7]]=>[5,3]
[1,8,5,2,7,6,3,4]=>[8,1,4,7,2,3,6,5]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[8,2,4,6,3,1,5,7]=>[1,7,5,3,6,8,4,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[4,6,8,3,1,5,2,7]=>[5,3,1,6,8,4,7,2]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[5,3,6,4,8,1,2,7]=>[4,6,3,5,1,8,7,2]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[3,6,5,2,1,7,8,4]=>[6,3,4,7,8,2,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,7,4,8,3,1,2,6]=>[4,2,5,1,6,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[3,7,2,8,1,4,6,5]=>[6,2,7,1,8,5,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[7,4,3,6,1,5,2,8]=>[2,5,6,3,8,4,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>[4,2,2]
[4,5,8,3,6,2,1,7]=>[5,4,1,6,3,7,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,1,2,6,4,7,3,8]=>[4,8,7,3,5,2,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[6,1,2,4,8,3,7,5]=>[3,8,7,5,1,6,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[6,7,2,8,1,4,5,3]=>[3,2,7,1,8,5,4,6]=>[[1,3,5],[2,6,8],[4,7]]=>[2,2,3,1]
[7,1,4,5,6,3,8,2]=>[2,8,5,4,3,6,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>[5,2,1]
[7,1,4,5,6,2,3,8]=>[2,8,5,4,3,7,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[2,5,6,8,1,4,7,3]=>[7,4,3,1,8,5,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,5,1,7,8,6,2,3]=>[5,4,8,2,1,3,7,6]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,8,6,2,4,7,3,1]=>[4,1,3,7,5,2,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[1,6,8,7,4,5,3,2]=>[8,3,1,2,5,4,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[1,4,7,5,3,2,6,8]=>[8,5,2,4,6,7,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>[3,5]
[6,8,7,2,3,5,4,1]=>[3,1,2,7,6,4,5,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[5,7,6,1,8,2,4,3]=>[4,2,3,8,1,7,5,6]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[4,8,6,5,7,2,3,1]=>[5,1,3,4,2,7,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>[2,3,2,1]
[2,7,5,6,1,4,8,3]=>[7,2,4,3,8,5,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,5,3,1,9,8,6,4,2]=>[3,5,7,9,1,2,4,6,8]=>[[1,2,3,4,9],[5,6,7,8]]=>[5,4]
[5,3,1,9,8,7,6,4,2]=>[5,7,9,1,2,3,4,6,8]=>[[1,2,3,7,8,9],[4,5,6]]=>[4,5]
[1,2,3,4,9,7,5,10,8,6]=>[10,9,8,7,2,4,6,1,3,5]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>[5,3,2]
[5,1,6,2,9,7,3,10,8,4]=>[6,10,5,9,2,4,8,1,3,7]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>[3,2,3,2]
[1,8,6,4,2,10,9,7,5,3]=>[10,3,5,7,9,1,2,4,6,8]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>[2,4,4]
[5,3,1,4,7,8,2,6]=>[4,6,8,5,2,1,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[7,1,2,4,8,3,5,6]=>[2,8,7,5,1,6,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[8,6,1,3,5,7,4,2]=>[1,3,8,6,4,2,5,7]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[5,2,4,1,6,8,3,7]=>[4,7,5,8,3,1,6,2]=>[[1,2,4],[3,7],[5,8],[6]]=>[3,3,2]
[1,2,5,3,7,4,9,6,8]=>[9,8,5,7,3,6,1,4,2]=>[[1,4],[2,6],[3,8],[5],[7],[9]]=>[3,2,2,2]
[1,3,2,6,4,8,5,10,7,9]=>[10,8,9,5,7,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[2,2,2,2,2]
[2,1,5,3,6,4,9,7,8]=>[8,9,5,7,4,6,1,3,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>[3,2,2,2]
[1,3,2,5,4,8,6,10,7,9]=>[10,8,9,6,7,3,5,1,4,2]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[2,2,2,2,2]
[2,1,4,3,7,5,8,6,9]=>[8,9,6,7,3,5,2,4,1]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>[3,2,2,2]
[1,3,2,5,4,7,6,10,8,9]=>[10,8,9,6,7,4,5,1,3,2]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[2,2,2,2,2]
[7,1,5,2,3,4,6,8]=>[2,8,4,7,6,5,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[7,3,1,4,6,2,8,5]=>[2,6,8,5,3,7,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[7,4,1,2,5,6,3,8]=>[2,5,8,7,4,3,6,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[5,7,4,8,1,6,3,2]=>[4,2,5,1,8,3,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[7,3,5,6,2,4,1,8]=>[2,6,4,3,7,5,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,5,7,2,6,4,3,8]=>[8,4,2,7,3,5,6,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[6,3,5,1,4,7,2,8]=>[3,6,4,8,5,2,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,3,4,6,1,5,2,8]=>[2,6,5,3,8,4,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,4,7,2,3,5,1,6]=>[1,5,2,7,6,4,8,3]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[2,3,7,8,1,6,4,5]=>[7,6,2,1,8,3,5,4]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[8,3,7,6,5,4,1,2]=>[1,6,2,3,4,5,8,7]=>[[1,2,4,5,6,7],[3,8]]=>[3,5]
[1,2,3,4,5,8,9,7,6]=>[9,8,7,6,5,2,1,3,4]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[8,3,6,5,7,4,2,1]=>[1,6,3,4,2,5,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>[3,2,3]
[8,4,7,1,5,2,6,3]=>[1,5,2,8,4,7,3,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[8,2,5,3,7,6,4,1]=>[1,7,4,6,2,3,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[8,5,7,1,4,3,6,2]=>[1,4,2,8,5,6,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[5,1,2,6,4,3,7,8]=>[4,8,7,3,5,6,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[8,5,3,1,2,6,4,7]=>[1,4,6,8,7,3,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[5,3,8,4,6,1,2,7]=>[4,6,1,5,3,8,7,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[5,3,1,8,4,2,6,7]=>[4,6,8,1,5,7,3,2]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[5,8,3,1,6,2,4,7]=>[4,1,6,8,3,7,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[5,6,8,3,1,4,2,7]=>[4,3,1,6,8,5,7,2]=>[[1,4,5],[2,6,7],[3,8]]=>[3,3,2]
[5,3,1,4,6,8,2,7]=>[4,6,8,5,3,1,7,2]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[5,4,1,6,8,7,2,3]=>[4,5,8,3,1,2,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>[5,3]
[4,5,3,6,8,7,1,2]=>[5,4,6,3,1,2,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[4,1,6,7,2,8,5,3]=>[5,8,3,2,7,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[6,4,5,7,1,8,3,2]=>[3,5,4,2,8,1,6,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[4,8,2,5,7,3,6,1]=>[5,1,7,4,2,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[3,6,7,8,2,5,4,1]=>[6,3,2,1,7,4,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,5,8,2,7,1,3,6]=>[5,4,1,7,2,8,6,3]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[6,3,2,1,5,8,7,4]=>[3,6,7,8,4,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,5,7,6,1,3,4,2]=>[1,4,2,3,8,6,5,7]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[6,7,5,1,8,3,4,2]=>[3,2,4,8,1,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[8,4,7,6,1,5,3,2]=>[1,5,2,3,8,4,6,7]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[8,4,2,7,6,3,5,1]=>[1,5,7,2,3,6,4,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[8,7,2,1,6,3,5,4]=>[1,2,7,8,3,6,4,5]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[3,1,8,4,2,7,6,5]=>[6,8,1,5,7,2,3,4]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[2,8,7,4,1,3,6,5]=>[7,1,2,5,8,6,3,4]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[8,2,3,1,7,6,4,5]=>[1,7,6,8,2,3,5,4]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[8,7,2,3,1,6,4,5]=>[1,2,7,6,8,3,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,2,5,8,3,1,4,6]=>[2,7,4,1,6,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[6,8,2,3,1,7,4,5]=>[3,1,7,6,8,2,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[8,2,5,7,3,1,4,6]=>[1,7,4,2,6,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[3,1,6,2,7,8,5,4]=>[6,8,3,7,2,1,4,5]=>[[1,2,8],[3,4],[5,7],[6]]=>[3,3,2]
[5,3,2,8,7,1,6,4]=>[4,6,7,1,2,8,3,5]=>[[1,2,3,6],[4,5,7,8]]=>[4,3,1]
[8,6,7,4,1,3,5,2]=>[1,3,2,5,8,6,4,7]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[4,6,3,2,5,1,8,7]=>[5,3,6,7,4,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[4,8,3,2,6,5,7,1]=>[5,1,6,7,3,4,2,8]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[8,1,4,6,5,3,7,2]=>[1,8,5,3,4,6,2,7]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[3,5,4,6,1,2,8,7]=>[6,4,5,3,8,7,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[7,3,5,6,1,8,2,4]=>[2,6,4,3,8,1,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[4,6,7,2,3,5,8,1]=>[5,3,2,7,6,4,1,8]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[8,5,2,4,1,7,3,6]=>[1,4,7,5,8,2,6,3]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[5,9,8,7,6,4,3,2,1,10]=>[6,2,3,4,5,7,8,9,10,1]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[2,8]
[5,6,1,8,4,2,3,7]=>[4,3,8,1,5,7,6,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[5,1,7,6,2,4,3,8]=>[4,8,2,3,7,5,6,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[2,1,6,8,3,5,4,7]=>[7,8,3,1,6,4,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,2,3,4,1,7,5,8]=>[3,7,6,5,8,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,1,7,6,3,5,4,8]=>[7,8,2,3,6,4,5,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[5,4,3,8,7,2,1,6]=>[4,5,6,1,2,7,8,3]=>[[1,2,3,6,7],[4,5,8]]=>[4,4]
[3,8,1,6,4,5,7,2]=>[6,1,8,3,5,4,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,4,6,1,2,8,7,3]=>[4,5,3,8,7,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>[3,3,2]
[3,7,4,6,8,1,2,5]=>[6,2,5,3,1,8,7,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[5,6,1,3,7,8,2,4]=>[4,3,8,6,2,1,7,5]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[8,2,6,4,3,7,5,1]=>[1,7,3,5,6,2,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[6,3,1,8,7,4,5,2]=>[3,6,8,1,2,5,4,7]=>[[1,2,3,8],[4,5,6],[7]]=>[4,3,1]
[8,6,3,2,7,4,5,1]=>[1,3,6,7,2,5,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1]
[1,3,6,8,7,4,5,2]=>[8,6,3,1,2,5,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[5,7,1,3,6,2,4,8]=>[4,2,8,6,3,7,5,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[6,8,2,5,7,3,1,4]=>[3,1,7,4,2,6,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[3,7,5,4,2,8,1,6]=>[6,2,4,5,7,1,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[5,7,1,8,6,2,4,3]=>[4,2,8,1,3,7,5,6]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[3,8,5,6,4,1,7,2]=>[6,1,4,3,5,8,2,7]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[5,2,8,1,6,7,4,3]=>[4,7,1,8,3,2,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>[3,3,2]
[5,7,8,4,2,1,6,3]=>[4,2,1,5,7,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[1,4,6,8,7,5,2,3]=>[8,5,3,1,2,4,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[6,4,3,8,7,5,2,1]=>[3,5,6,1,2,4,7,8]=>[[1,2,3,7,8],[4,5,6]]=>[4,4]
[8,7,6,5,4,1,9,3,2]=>[2,3,4,5,6,9,1,7,8]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,2]
[9,8,7,6,5,4,1,10,3,2]=>[2,3,4,5,6,7,10,1,8,9]=>[[1,2,3,4,5,6,7,10],[8,9]]=>[8,2]
[4,7,2,6,8,5,3,1]=>[5,2,7,3,1,4,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[4,5,8,3,2,6,7,1]=>[5,4,1,6,7,3,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[6,3,1,5,4,8,2,7]=>[3,6,8,4,5,1,7,2]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[3,4,8,5,7,2,6,1]=>[6,5,1,4,2,7,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[2,5,1,4,7,6,8,3]=>[7,4,8,5,2,3,1,6]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[2,8,3,5,1,7,6,4]=>[7,1,6,4,8,2,3,5]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[8,3,4,1,7,6,5,2]=>[1,6,5,8,2,3,4,7]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[2,3,8,6,1,7,5,4]=>[7,6,1,3,8,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[8,5,1,2,7,6,4,3]=>[1,4,8,7,2,3,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[7,1,6,8,3,2,5,4]=>[2,8,3,1,6,7,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[8,2,6,3,1,5,4,7]=>[1,7,3,6,8,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[2,7,1,6,4,3,8,5]=>[7,2,8,3,5,6,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[2,7,6,8,1,3,4,5]=>[7,2,3,1,8,6,5,4]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[5,7,3,6,8,2,4,1]=>[4,2,6,3,1,7,5,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[2,3,8,4,5,1,7,6]=>[7,6,1,5,4,8,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>[3,2,2,1]
[4,5,7,8,1,2,6,3]=>[5,4,2,1,8,7,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[4,3,7,5,2,8,1,6]=>[5,6,2,4,7,1,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[9,5,4,3,2,1,8,7,6]=>[1,5,6,7,8,9,2,3,4]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,2]
[9,3,2,1,8,7,6,5,4]=>[1,7,8,9,2,3,4,5,6]=>[[1,2,3,4,8,9],[5,6,7]]=>[5,4]
[6,5,4,3,2,1,9,7,8]=>[4,5,6,7,8,9,1,3,2]=>[[1,2,3,4,5,6],[7,8],[9]]=>[7,2]
[10,6,5,4,3,2,1,9,8,7]=>[1,5,6,7,8,9,10,2,3,4]=>[[1,2,3,4,5,6,7],[8,9,10]]=>[8,2]
[10,5,4,3,2,1,9,8,7,6]=>[1,6,7,8,9,10,2,3,4,5]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[10,4,3,2,1,9,8,7,6,5]=>[1,7,8,9,10,2,3,4,5,6]=>[[1,2,3,4,5,10],[6,7,8,9]]=>[6,4]
[10,3,2,1,9,8,7,6,5,4]=>[1,8,9,10,2,3,4,5,6,7]=>[[1,2,3,4,8,9,10],[5,6,7]]=>[5,5]
[1,8,2,3,4,5,6,7,9,10]=>[10,3,9,8,7,6,5,4,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[2,8]
[3,5,8,2,1,7,6,4]=>[6,4,1,7,8,2,3,5]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[4,3,8,7,1,6,2,5]=>[5,6,1,2,8,3,7,4]=>[[1,2,5,7],[3,4,6],[8]]=>[3,3,2]
[8,2,3,1,6,5,7,4]=>[1,7,6,8,3,4,2,5]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,7,5,8,6,2,4,3]=>[8,2,4,1,3,7,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[4,2,8,6,3,7,1,5]=>[5,7,1,3,6,2,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[4,8,2,6,7,3,1,5]=>[5,1,7,3,2,6,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[10,9,8,6,7,5,4,3,2,1]=>[1,2,3,5,4,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[5,5]
[5,2,6,4,3,7,1,8]=>[4,7,3,5,6,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[1,4,8,7,5,6,3,2]=>[8,5,1,2,4,3,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[4,6,7,1,3,5,2,8]=>[5,3,2,8,6,4,7,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,2,7,5,3,4,8,1]=>[3,7,2,4,6,5,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[3,5,1,8,6,2,4,7]=>[6,4,8,1,3,7,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[5,4,6,2,1,8,3,7]=>[4,5,3,7,8,1,6,2]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[7,2,4,5,1,6,8,3]=>[2,7,5,4,8,3,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[4,7,2,5,8,6,1,3]=>[5,2,7,4,1,3,8,6]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[1,8,7,5,4,6,2,3]=>[8,1,2,4,5,3,7,6]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[3,8,1,4,7,5,6,2]=>[6,1,8,5,2,4,3,7]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[8,1,6,7,4,5,3,2]=>[1,8,3,2,5,4,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[4,6,7,2,3,5,1,8]=>[5,3,2,7,6,4,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>[3,3,2]
[6,4,8,1,5,3,7,2]=>[3,5,1,8,4,6,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[6,2,4,7,5,1,3,8]=>[3,7,5,2,4,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[8,2,4,5,7,1,3,6]=>[1,7,5,4,2,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[5,1,8,6,3,7,2,4]=>[4,8,1,3,6,2,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[2,7,6,3,5,1,8,4]=>[7,2,3,6,4,8,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[1,5,7,3,4,2,6,8]=>[8,4,2,6,5,7,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[5,7,8,1,3,6,2,4]=>[4,2,1,8,6,3,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[4,1,3,7,6,5,2,8]=>[5,8,6,2,3,4,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[7,9,8,6,5,4,3,1,2]=>[3,1,2,4,5,6,7,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,7]
[3,4,1,7,2,6,5,8]=>[6,5,8,2,7,3,4,1]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[3,4,6,2,7,5,1,8]=>[6,5,3,7,2,4,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[4,3,6,1,2,7,8,5]=>[5,6,3,8,7,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[3,7,6,2,5,1,8,4]=>[6,2,3,7,4,8,1,5]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[2,7,8,6,4,3,1,5]=>[7,2,1,3,5,6,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[4,7,2,5,3,1,6,8]=>[5,2,7,4,6,8,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[6,5,7,3,2,1,8,4]=>[3,4,2,6,7,8,1,5]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[7,3,2,6,4,5,8,1]=>[2,6,7,3,5,4,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[7,3,1,6,4,5,8,2]=>[2,6,8,3,5,4,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[2,5,8,7,1,4,6,3]=>[7,4,1,2,8,5,3,6]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[2,5,8,7,3,4,6,1]=>[7,4,1,2,6,5,3,8]=>[[1,4,5,8],[2,6],[3],[7]]=>[3,4,1]
[5,3,8,7,1,4,6,2]=>[4,6,1,2,8,5,3,7]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[5,1,4,3,6,8,2,7]=>[4,8,5,6,3,1,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[4,8,6,5,1,3,2,7]=>[5,1,3,4,8,6,7,2]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[4,5,6,1,8,3,2,7]=>[5,4,3,8,1,6,7,2]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[4,8,6,5,2,3,1,7]=>[5,1,3,4,7,6,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>[2,4,2]
[4,5,6,2,8,3,1,7]=>[5,4,3,7,1,6,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[7,2,6,1,3,5,8,4]=>[2,7,3,8,6,4,1,5]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[6,2,7,1,5,8,3,4]=>[3,7,2,8,4,1,6,5]=>[[1,2,4],[3,5,7],[6,8]]=>[3,3,2]
[2,5,7,4,6,1,8,3]=>[7,4,2,5,3,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[7,8,6,1,5,4,2,3]=>[2,1,3,8,4,5,7,6]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[7,3,6,1,5,2,8,4]=>[2,6,3,8,4,7,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[5,8,3,6,7,2,4,1]=>[4,1,6,3,2,7,5,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[8,1,6,2,5,7,4,3]=>[1,8,3,7,4,2,5,6]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[4,1,6,3,2,8,7,5]=>[5,8,3,6,7,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[5,7,3,6,4,2,1,8]=>[4,2,6,3,5,7,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[5,7,3,6,4,1,8,2]=>[4,2,6,3,5,8,1,7]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[7,4,6,5,3,2,1,8]=>[2,5,3,4,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>[3,5]
[7,5,1,3,4,2,8,6]=>[2,4,8,6,5,7,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[2,8,5,7,3,4,6,1]=>[7,1,4,2,6,5,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[5,2,3,6,4,7,1,8]=>[4,7,6,3,5,2,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[6,8,4,5,3,2,1,7]=>[3,1,5,4,6,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[6,7,2,3,5,8,1,4]=>[3,2,7,6,4,1,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[7,4,5,8,2,3,1,6]=>[2,5,4,1,7,6,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[2,1,3,8,5,4,6,7]=>[7,8,6,1,4,5,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[6,7,5,2,1,4,3,8]=>[3,2,4,7,8,5,6,1]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[4,1,2,5,7,8,6,3]=>[5,8,7,4,2,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[4,5,7,6,2,1,3,8]=>[5,4,2,3,7,8,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[7,8,2,6,5,4,3,1]=>[2,1,7,3,4,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>[2,2,4]
[5,3,7,8,4,2,1,6]=>[4,6,2,1,5,7,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[7,3,6,8,1,5,4,2]=>[2,6,3,1,8,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[3,4,6,7,2,5,1,8]=>[6,5,3,2,7,4,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[7,5,8,2,4,3,6,1]=>[2,4,1,7,5,6,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[8,1,5,3,4,6,2,7]=>[1,8,4,6,5,3,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[5,8,7,2,4,3,6,1]=>[4,1,2,7,5,6,3,8]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[8,4,1,3,2,6,5,7]=>[1,5,8,6,7,3,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[2,7,3,1,8,5,6,4]=>[7,2,6,8,1,4,3,5]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[6,4,5,2,1,8,7,3]=>[3,5,4,7,8,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[6,1,2,4,7,8,5,3]=>[3,8,7,5,2,1,4,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[1,5,3,4,2,8,6,7]=>[8,4,6,5,7,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,1,4,7,2,6,8,5]=>[6,8,5,2,7,3,1,4]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[2,1,7,3,5,4,6,8]=>[7,8,2,6,4,5,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[8,3,5,1,7,6,4,2]=>[1,6,4,8,2,3,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[8,7,2,6,1,4,3,5]=>[1,2,7,3,8,5,6,4]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[8,6,5,1,3,7,2,4]=>[1,3,4,8,6,2,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>[6,2]
[1,8,2,6,4,3,7,5]=>[8,1,7,3,5,6,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[8,4,6,1,5,7,2,3]=>[1,5,3,8,4,2,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[1,8,5,7,4,6,3,2]=>[8,1,4,2,5,3,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[1,4,7,6,8,3,5,2]=>[8,5,2,3,1,6,4,7]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[1,7,2,8,6,5,3,4]=>[8,2,7,1,3,4,6,5]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[5,7,1,6,4,2,3,8]=>[4,2,8,3,5,7,6,1]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[1,7,6,2,5,3,8,4]=>[8,2,3,7,4,6,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[7,1,2,4,5,3,8,6]=>[2,8,7,5,4,6,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>[5,2,1]
[7,6,8,1,2,4,5,3]=>[2,3,1,8,7,5,4,6]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,1,3,5,2,4,8,6]=>[2,8,6,4,7,5,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[2,5,7,1,3,6,8,4]=>[7,4,2,8,6,3,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>[3,4,1]
[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1]
[3,8,7,1,4,6,2,5]=>[6,1,2,8,5,3,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[4,7,6,2,3,5,8,1]=>[5,2,3,7,6,4,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[4,7,1,6,2,5,8,3]=>[5,2,8,3,7,4,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,4,1,8,2,6,7,3]=>[4,5,8,1,7,3,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[2,7,1,4,6,5,8,3]=>[7,2,8,5,3,4,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[6,3,5,7,8,4,1,2]=>[3,6,4,2,1,5,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[7,6,3,5,4,8,2,1]=>[2,3,6,4,5,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>[4,2,2]
[5,4,8,1,3,6,2,7]=>[4,5,1,8,6,3,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[3,4,2,5,7,1,6,8]=>[6,5,7,4,2,8,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[3,2,4,6,1,7,5,8]=>[6,7,5,3,8,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[3,7,6,2,1,5,4,8]=>[6,2,3,7,8,4,5,1]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[2,6,8,3,4,1,5,7]=>[7,3,1,6,5,8,4,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[3,1,6,5,8,4,2,7]=>[6,8,3,4,1,5,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[2,7,1,4,8,5,3,6]=>[7,2,8,5,1,4,6,3]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[5,1,3,8,6,4,7,2]=>[4,8,6,1,3,5,2,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[1,5,6,7,4,2,8,3]=>[8,4,3,2,5,7,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[6,1,7,8,3,5,4,2]=>[3,8,2,1,6,4,5,7]=>[[1,2,7,8],[3,5],[4,6]]=>[4,2,2]
[6,4,1,3,5,7,8,2]=>[3,5,8,6,4,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,1]
[4,3,5,7,8,6,1,2]=>[5,6,4,2,1,3,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[7,2,1,3,6,4,5,8]=>[2,7,8,6,3,5,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[7,4,3,6,1,5,8,2]=>[2,5,6,3,8,4,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[6,2,1,3,5,7,8,4]=>[3,7,8,6,4,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[2,3,7,6,1,4,5,8]=>[7,6,2,3,8,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[7,8,2,1,3,5,6,4]=>[2,1,7,8,6,4,3,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[3,6,2,1,5,7,8,4]=>[6,3,7,8,4,2,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[7,2,4,1,5,6,3,8]=>[2,7,5,8,4,3,6,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,2,6,4,3,7,1,5]=>[1,7,3,5,6,2,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[2,4,3,6,1,5,7,8]=>[7,5,6,3,8,4,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[5,4,8,6,1,3,7,2]=>[4,5,1,3,8,6,2,7]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[5,2,7,1,6,3,8,4]=>[4,7,2,8,3,6,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>[3,2,2,1]
[1,5,2,6,7,4,8,3]=>[8,4,7,3,2,5,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[6,1,7,3,2,5,4,8]=>[3,8,2,6,7,4,5,1]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[1,6,5,3,8,7,4,2]=>[8,3,4,6,1,2,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[4,1,7,5,6,8,2,3]=>[5,8,2,4,3,1,7,6]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[7,8,2,3,1,4,6,5]=>[2,1,7,6,8,5,3,4]=>[[1,3,5],[2,4,8],[6],[7]]=>[2,2,3,1]
[6,2,3,8,1,4,7,5]=>[3,7,6,1,8,5,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[5,2,7,6,1,4,8,3]=>[4,7,2,3,8,5,1,6]=>[[1,2,5,8],[3,4,6],[7]]=>[3,4,1]
[3,7,6,2,1,4,5,8]=>[6,2,3,7,8,5,4,1]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[4,2,1,6,7,5,8,3]=>[5,7,8,3,2,4,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[5,1,7,6,4,3,8,2]=>[4,8,2,3,5,6,1,7]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[1,5,8,3,7,2,4,6]=>[8,4,1,6,2,7,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[5,1,3,7,6,8,2,4]=>[4,8,6,2,3,1,7,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[1,6,8,7,2,5,4,3]=>[8,3,1,2,7,4,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[5,3,1,6,7,2,8,4]=>[4,6,8,3,2,7,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[4,1,8,5,3,7,6,2]=>[5,8,1,4,6,2,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>[3,3,2]
[3,8,4,5,2,6,1,7]=>[6,1,5,4,7,3,8,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[8,1,6,3,7,5,2,4]=>[1,8,3,6,2,4,7,5]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,4,7,1,8,2,3,6]=>[4,5,2,8,1,7,6,3]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[5,1,3,6,2,8,4,7]=>[4,8,6,3,7,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[4,3,2,7,6,8,1,5]=>[5,6,7,2,3,1,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[4,8,3,2,1,6,5,7]=>[5,1,6,7,8,3,4,2]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[1,4,3,2,7,5,6,8]=>[8,5,6,7,2,4,3,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>[2,3,3]
[4,3,2,8,6,7,1,5]=>[5,6,7,1,3,2,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[4,3,1,2,5,7,8,6]=>[5,6,8,7,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,1]
[2,5,3,6,1,4,8,7]=>[7,4,6,3,8,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,4,2,1,5,8,6,7]=>[6,5,7,8,4,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[2,5,3,7,1,4,8,6]=>[7,4,6,2,8,5,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[2,5,3,6,1,7,8,4]=>[7,4,6,3,8,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[5,4,3,1,7,6,8,2]=>[4,5,6,8,2,3,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[4,5,2,7,1,8,3,6]=>[5,4,7,2,8,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[6,5,2,8,7,4,1,3]=>[3,4,7,1,2,5,8,6]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[3,1,8,4,5,2,7,6]=>[6,8,1,5,4,7,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]
[4,8,5,2,1,3,7,6]=>[5,1,4,7,8,6,2,3]=>[[1,3,4,5],[2,6],[7,8]]=>[2,5,1]
[5,8,4,2,1,3,7,6]=>[4,1,5,7,8,6,2,3]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[9,8,7,6,5,3,1,4,2]=>[1,2,3,4,5,7,9,6,8]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[9,7,1,8,6,5,4,3,2]=>[1,3,9,2,4,5,6,7,8]=>[[1,2,3,6,7,8,9],[4,5]]=>[4,5]
[6,4,5,3,8,7,1,2]=>[3,5,4,6,1,2,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[8,4,7,5,2,3,1,6]=>[1,5,2,4,7,6,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[8,2,7,4,5,3,1,6]=>[1,7,2,5,4,6,8,3]=>[[1,2,4,6,7],[3],[5],[8]]=>[3,2,3]
[8,2,6,7,5,3,1,4]=>[1,7,3,2,4,6,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[6,8,7,4,5,3,1,2]=>[3,1,2,5,4,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[2,8,4,7,5,3,1,6]=>[7,1,5,2,4,6,8,3]=>[[1,3,5,6,7],[2],[4],[8]]=>[2,2,4]
[6,8,1,2,4,7,3,5]=>[3,1,8,7,5,2,6,4]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[8,6,1,3,4,7,2,5]=>[1,3,8,6,5,2,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[4,6,2,3,8,7,1,5]=>[5,3,7,6,1,2,8,4]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[6,7,4,2,8,5,1,3]=>[3,2,5,7,1,4,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[6,4,2,8,5,7,1,3]=>[3,5,7,1,4,2,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[8,3,7,6,2,5,4,1]=>[1,6,2,3,7,4,5,8]=>[[1,2,4,5,7,8],[3,6]]=>[3,3,2]
[1,2,3,4,6,5,8,7,9]=>[9,8,7,6,4,5,2,3,1]=>[[1,6],[2,8],[3],[4],[5],[7],[9]]=>[5,2,2]
[4,6,1,3,5,8,2,7]=>[5,3,8,6,4,1,7,2]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[4,5,1,3,8,7,2,6]=>[5,4,8,6,1,2,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[2,4,7,6,1,8,3,5]=>[7,5,2,3,8,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>[3,3,2]
[10,8,9,7,6,5,4,3,2,1]=>[1,3,2,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,7]
[7,4,5,8,6,3,2,1]=>[2,5,4,1,3,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[9,6,7,8,5,4,3,2,1]=>[1,4,3,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,5]
[2,7,3,6,5,8,4,1]=>[7,2,6,3,4,1,5,8]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[7,3,4,6,1,8,2,5]=>[2,6,5,3,8,1,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[3,7,4,1,2,8,6,5]=>[6,2,5,8,7,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[3,7,4,1,2,6,8,5]=>[6,2,5,8,7,3,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[5,7,1,2,4,6,8,3]=>[4,2,8,7,5,3,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[5,6,7,8,4,3,2,1,9]=>[5,4,3,2,6,7,8,9,1]=>[[1,5,6,7,8],[2],[3],[4],[9]]=>[4,5]
[3,8,1,2,4,7,6,5]=>[6,1,8,7,5,2,3,4]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[1,4,5,7,3,6,8,2]=>[8,5,4,2,6,3,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[4,6,8,7,1,5,3,2]=>[5,3,1,2,8,4,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[1,3,8,7,5,2,6,4]=>[8,6,1,2,4,7,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[8,7,6,4,1,3,5,2]=>[1,2,3,5,8,6,4,7]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[3,2,4,6,1,7,8,5]=>[6,7,5,3,8,2,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[1,4,5,7,3,6,2,8]=>[8,5,4,2,6,3,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[3,6,2,4,7,5,8,1]=>[6,3,7,5,2,4,1,8]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[4,2,7,3,5,8,1,6]=>[5,7,2,6,4,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[4,2,7,8,6,3,1,5]=>[5,7,2,1,3,6,8,4]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[7,1,3,6,8,4,5,2]=>[2,8,6,3,1,5,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,3,2,6,8,4,5,1]=>[2,6,7,3,1,5,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[2,4,5,7,1,6,8,3]=>[7,5,4,2,8,3,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[8,4,2,6,7,3,5,1]=>[1,5,7,3,2,6,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[1,4,2,7,5,6,3,8]=>[8,5,7,2,4,3,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[8,1,7,6,3,5,2,4]=>[1,8,2,3,6,4,7,5]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[7,1,2,4,6,3,5,8]=>[2,8,7,5,3,6,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[6,1,3,5,4,7,2,8]=>[3,8,6,4,5,2,7,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,2,2]
[8,7,4,6,2,5,3,1]=>[1,2,5,3,7,4,6,8]=>[[1,2,3,5,7,8],[4,6]]=>[4,2,2]
[8,1,7,4,6,5,2,3]=>[1,8,2,5,3,4,7,6]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[8,4,1,7,6,2,5,3]=>[1,5,8,2,3,7,4,6]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[6,1,7,4,8,5,2,3]=>[3,8,2,5,1,4,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>[3,2,3]
[1,8,6,2,7,5,3,4]=>[8,1,3,7,2,4,6,5]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,8,5,1,7,6,3,4]=>[7,1,4,8,2,3,6,5]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[5,2,8,6,4,3,1,7]=>[4,7,1,3,5,6,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>[3,5]
[2,8,4,3,1,7,5,6]=>[7,1,5,6,8,2,4,3]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[8,5,6,2,3,7,4,1]=>[1,4,3,7,6,2,5,8]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[7,8,1,4,5,6,2,3]=>[2,1,8,5,4,3,7,6]=>[[1,3,7],[2,4,8],[5],[6]]=>[2,4,2]
[1,2,6,7,8,3,5,4]=>[8,7,3,2,1,6,4,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[7,1,2,6,5,8,3,4]=>[2,8,7,3,4,1,6,5]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[5,4,7,8,6,2,3,1]=>[4,5,2,1,3,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[7,4,8,3,5,6,2,1]=>[2,5,1,6,4,3,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[3,1,5,7,2,6,8,4]=>[6,8,4,2,7,3,1,5]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[1,7,2,5,8,4,6,3]=>[8,2,7,4,1,5,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[5,1,3,7,6,8,4,2]=>[4,8,6,2,3,1,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[8,2,6,4,3,1,5,7]=>[1,7,3,5,6,8,4,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[2,3,5,6,8,4,7,1]=>[7,6,4,3,1,5,2,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[2,4,5,8,3,6,7,1]=>[7,5,4,1,6,3,2,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[4,1,7,5,3,6,8,2]=>[5,8,2,4,6,3,1,7]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[5,7,3,6,2,4,8,1]=>[4,2,6,3,7,5,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[2,6,5,1,7,4,8,3]=>[7,3,4,8,2,5,1,6]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[5,7,1,6,2,4,8,3]=>[4,2,8,3,7,5,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[4,6,1,7,5,3,8,2]=>[5,3,8,2,4,6,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[8,7,4,6,5,3,1,2]=>[1,2,5,3,4,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>[4,4]
[6,7,1,2,4,3,5,8]=>[3,2,8,7,5,6,4,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[5,3,7,2,1,6,4,8]=>[4,6,2,7,8,3,5,1]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[8,7,1,3,5,6,4,2]=>[1,2,8,6,4,3,5,7]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[8,1,4,6,7,5,3,2]=>[1,8,5,3,2,4,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,6,8,1,7,5,3,2]=>[5,3,1,8,2,4,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[8,1,5,7,6,4,3,2]=>[1,8,4,2,3,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[1,4,7,8,3,6,5,2]=>[8,5,2,1,6,3,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[4,7,1,3,5,2,8,6]=>[5,2,8,6,4,7,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[4,7,3,8,5,6,2,1]=>[5,2,6,1,4,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[7,1,4,8,5,6,3,2]=>[2,8,5,1,4,3,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[1,7,3,8,6,4,5,2]=>[8,2,6,1,3,5,4,7]=>[[1,3,6,8],[2,5],[4],[7]]=>[2,2,3,1]
[7,4,2,8,5,6,3,1]=>[2,5,7,1,4,3,6,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[1,4,5,8,7,6,2,3]=>[8,5,4,1,2,3,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,4,3,5,8,2,6,7]=>[8,5,6,4,1,7,3,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[2,1,3,8,6,4,5,7]=>[7,8,6,1,3,5,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[1,3,6,4,5,8,2,7]=>[8,6,3,5,4,1,7,2]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[8,3,5,6,2,1,7,4]=>[1,6,4,3,7,8,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,5,8,7,6,1,4,2]=>[6,4,1,2,3,8,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[7,1,5,4,6,3,8,2]=>[2,8,4,5,3,6,1,7]=>[[1,2,4,6,8],[3],[5],[7]]=>[3,2,2,1]
[7,3,6,5,4,8,2,1]=>[2,6,3,4,5,1,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[2,9,10,8,7,6,5,4,3,1]=>[9,2,1,3,4,5,6,7,8,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,7]
[8,4,7,1,5,6,2,3]=>[1,5,2,8,4,3,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[2,5,3,1,4,6,7,8]=>[7,4,6,8,5,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[2,6]
[7,1,6,4,3,8,5,2]=>[2,8,3,5,6,1,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[7,4,5,1,8,2,6,3]=>[2,5,4,8,1,7,3,6]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[7,2,8,5,3,6,1,4]=>[2,7,1,4,6,3,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[7,1,5,3,8,2,4,6]=>[2,8,4,6,1,7,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[1,3,8,7,6,4,5,2]=>[8,6,1,2,3,5,4,7]=>[[1,4,5,6,8],[2],[3],[7]]=>[3,4,1]
[4,5,1,6,3,8,7,2]=>[5,4,8,3,6,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>[2,2,2,2]
[4,6,7,1,3,8,2,5]=>[5,3,2,8,6,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>[3,3,2]
[2,6,3,1,4,7,8,5]=>[7,3,6,8,5,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>[2,5,1]
[4,8,7,1,5,6,2,3]=>[5,1,2,8,4,3,7,6]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,6,7,8,3,5,4,1]=>[7,3,2,1,6,4,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[8,6,4,5,1,3,7,2]=>[1,3,5,4,8,6,2,7]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[7,4,8,5,3,6,1,2]=>[2,5,1,4,6,3,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[8,4,6,5,1,3,7,2]=>[1,5,3,4,8,6,2,7]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[4,7,8,6,1,5,3,2]=>[5,2,1,3,8,4,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[8,2,1,6,4,3,7,5]=>[1,7,8,3,5,6,2,4]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[2,3,7,8,1,4,6,5]=>[7,6,2,1,8,5,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[7,1,3,8,2,4,6,5]=>[2,8,6,1,7,5,3,4]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[7,2,3,6,4,1,8,5]=>[2,7,6,3,5,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[5,7,2,4,1,3,8,6]=>[4,2,7,5,8,6,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[6,2,5,4,1,8,3,7]=>[3,7,4,5,8,1,6,2]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[4,2,6,3,5,8,1,7]=>[5,7,3,6,4,1,8,2]=>[[1,2,7],[3,4],[5,8],[6]]=>[3,3,2]
[8,4,1,2,3,7,6,5]=>[1,5,8,7,6,2,3,4]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[8,4,1,5,3,7,6,2]=>[1,5,8,4,6,2,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[8,3,1,4,2,7,6,5]=>[1,6,8,5,7,2,3,4]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[2,5,8,7,3,1,6,4]=>[7,4,1,2,6,8,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[8,1,2,5,4,3,7,6]=>[1,8,7,4,5,6,2,3]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,2,1,8,4,3,6,5]=>[2,7,8,1,5,6,3,4]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[6,7,2,1,4,5,8,3]=>[3,2,7,8,5,4,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[7,4,2,6,8,5,3,1]=>[2,5,7,3,1,4,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[7,4,1,2,8,5,6,3]=>[2,5,8,7,1,4,3,6]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[8,4,1,6,3,5,2,7]=>[1,5,8,3,6,4,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[7,3,4,1,6,8,5,2]=>[2,6,5,8,3,1,4,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[8,6,2,3,5,7,4,1]=>[1,3,7,6,4,2,5,8]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,2]
[6,3,4,8,5,1,2,7]=>[3,6,5,1,4,8,7,2]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[3,5,8,4,2,7,6,1]=>[6,4,1,5,7,2,3,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[7,4,6,2,5,3,8,1]=>[2,5,3,7,4,6,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>[3,2,2,1]
[7,4,3,8,6,5,1,2]=>[2,5,6,1,3,4,8,7]=>[[1,2,3,7],[4,5,6,8]]=>[4,4]
[1,8,5,4,2,6,3,7]=>[8,1,4,5,7,3,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,4,2,6,8,3,1,7]=>[4,5,7,3,1,6,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[3,5,6,7,4,8,1,2]=>[6,4,3,2,5,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>[4,2,2]
[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1]
[8,2,4,5,1,3,6,7]=>[1,7,5,4,8,6,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[6,3,5,8,1,2,7,4]=>[3,6,4,1,8,7,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[2,3,8,5,4,6,1,7]=>[7,6,1,4,5,3,8,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>[3,3,2]
[8,3,5,7,1,4,6,2]=>[1,6,4,2,8,5,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[2,7,3,4,6,1,8,5]=>[7,2,6,5,3,8,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[7,3,5,4,1,8,2,6]=>[2,6,4,5,8,1,7,3]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[8,4,3,5,1,6,2,7]=>[1,5,6,4,8,3,7,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[6,8,7,1,2,5,4,3]=>[3,1,2,8,7,4,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[4,7,2,5,6,1,3,8]=>[5,2,7,4,3,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[8,3,5,4,1,2,6,7]=>[1,6,4,5,8,7,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,3,1,7,6,2,4,8]=>[4,6,8,2,3,7,5,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[7,5,1,6,2,4,3,8]=>[2,4,8,3,7,5,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[5,8,6,1,2,4,3,7]=>[4,1,3,8,7,5,6,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,6,1,8,7,4,5,2]=>[6,3,8,1,2,5,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[4,2,7,5,1,6,3,8]=>[5,7,2,4,8,3,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[4,1,3,5,7,6,8,2]=>[5,8,6,4,2,3,1,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[5,7,6,1,4,2,3,8]=>[4,2,3,8,5,7,6,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[4,8,7,5,2,1,6,3]=>[5,1,2,4,7,8,3,6]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[3,7,1,2,6,4,5,8]=>[6,2,8,7,3,5,4,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[4,1,7,6,3,5,8,2]=>[5,8,2,3,6,4,1,7]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[7,5,6,2,1,4,3,8]=>[2,4,3,7,8,5,6,1]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[4,3,5,7,8,2,6,1]=>[5,6,4,2,1,7,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[7,2,4,8,1,6,5,3]=>[2,7,5,1,8,3,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[3,8,1,4,6,2,7,5]=>[6,1,8,5,3,7,2,4]=>[[1,3,6],[2,4],[5,8],[7]]=>[2,3,2,1]
[5,3,2,7,6,4,1,8]=>[4,6,7,2,3,5,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[5,7,3,2,1,8,6,4]=>[4,2,6,7,8,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[5,7,6,3,2,1,8,4]=>[4,2,3,6,7,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[1,7,3,5,4,2,6,8]=>[8,2,6,4,5,7,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>[2,2,4]
[7,3,5,4,1,6,8,2]=>[2,6,4,5,8,3,1,7]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[4,8,6,1,5,2,3,7]=>[5,1,3,8,4,7,6,2]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[7,4,1,8,2,6,5,3]=>[2,5,8,1,7,3,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[7,1,2,8,4,3,5,6]=>[2,8,7,1,5,6,4,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[3,1,5,8,4,2,7,6]=>[6,8,4,1,5,7,2,3]=>[[1,2,6],[3,5,8],[4,7]]=>[4,3,1]
[8,2,1,3,7,4,5,6]=>[1,7,8,6,2,5,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[5,1,3,4,8,6,2,7]=>[4,8,6,5,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[2,7,4,1,8,5,3,6]=>[7,2,5,8,1,4,6,3]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[7,8,6,1,5,2,4,3]=>[2,1,3,8,4,7,5,6]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[8,5,7,4,1,3,2,6]=>[1,4,2,5,8,6,7,3]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[6,8,7,3,2,1,5,4]=>[3,1,2,6,7,8,4,5]=>[[1,3,4,5,6],[2,7,8]]=>[2,5,1]
[5,7,3,6,2,1,8,4]=>[4,2,6,3,7,8,1,5]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[5,2,6,1,7,4,3,8]=>[4,7,3,8,2,5,6,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[6,3,4,5,1,7,2,8]=>[3,6,5,4,8,2,7,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[9,10,7,6,5,4,3,2,1,8]=>[2,1,4,5,6,7,8,9,10,3]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[2,6,1,7,5,3,8,4]=>[7,3,8,2,4,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>[2,2,3,1]
[7,5,8,2,3,6,1,4]=>[2,4,1,7,6,3,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[7,3,5,2,8,6,1,4]=>[2,6,4,7,1,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[1,8,7,5,6,4,2,3]=>[8,1,2,4,3,5,7,6]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[1,3,6,5,8,7,2,4]=>[8,6,3,4,1,2,7,5]=>[[1,4,7],[2,6,8],[3],[5]]=>[3,2,3]
[1,4,7,6,2,5,3,8]=>[8,5,2,3,7,4,6,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[1,3,7,2,6,5,4,8]=>[8,6,2,7,3,4,5,1]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[7,5,1,4,6,3,2,8]=>[2,4,8,5,3,6,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[7,5,1,2,6,3,4,8]=>[2,4,8,7,3,6,5,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[5,4,1,8,6,7,3,2]=>[4,5,8,1,3,2,6,7]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[4,3,5,6,2,8,1,7]=>[5,6,4,3,7,1,8,2]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,5,3,1,6,8,2,7]=>[5,4,6,8,3,1,7,2]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[3,4,6,7,5,1,8,2]=>[6,5,3,2,4,8,1,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[4,8,2,6,7,1,5,3]=>[5,1,7,3,2,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[6,5,8,3,7,1,4,2]=>[3,4,1,6,2,8,5,7]=>[[1,2,4,6],[3,5,7,8]]=>[3,2,2,1]
[4,8,6,5,3,7,1,2]=>[5,1,3,4,6,2,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[4,8,6,5,3,7,2,1]=>[5,1,3,4,6,2,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[4,1,5,7,6,2,8,3]=>[5,8,4,2,3,7,1,6]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[3,2,6,8,7,5,1,4]=>[6,7,3,1,2,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[7,2,4,5,8,1,6,3]=>[2,7,5,4,1,8,3,6]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[4,2,3,5,7,8,6,1]=>[5,7,6,4,2,1,3,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[5,6,1,3,8,4,7,2]=>[4,3,8,6,1,5,2,7]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[5,4,7,1,6,2,3,8]=>[4,5,2,8,3,7,6,1]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[3,1,7,4,6,5,2,8]=>[6,8,2,5,3,4,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[2,7,4,3,5,1,8,6]=>[7,2,5,6,4,8,1,3]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[3,6,8,5,2,4,1,7]=>[6,3,1,4,7,5,8,2]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[2,8,6,7,1,4,5,3]=>[7,1,3,2,8,5,4,6]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[5,1,4,7,2,6,3,8]=>[4,8,5,2,7,3,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[4,7,1,5,6,2,3,8]=>[5,2,8,4,3,7,6,1]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[4,2,5,6,3,7,1,8]=>[5,7,4,3,6,2,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[7,2,6,4,3,5,1,8]=>[2,7,3,5,6,4,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[3,6,8,5,7,1,2,4]=>[6,3,1,4,2,8,7,5]=>[[1,4,6],[2,5,7],[3,8]]=>[3,2,3]
[2,6,1,8,7,3,5,4]=>[7,3,8,1,2,6,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>[2,2,3,1]
[3,6,8,7,4,2,5,1]=>[6,3,1,2,5,7,4,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[1,8,4,7,2,5,6,3]=>[8,1,5,2,7,4,3,6]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[7,5,6,1,3,8,2,4]=>[2,4,3,8,6,1,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>[3,3,2]
[5,4,8,3,6,7,2,1]=>[4,5,1,6,3,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,5,2,6,3,1,4,7]=>[1,4,7,3,6,8,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>[4,4]
[7,3,2,8,5,4,1,6]=>[2,6,7,1,4,5,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[7,4,8,1,3,5,2,6]=>[2,5,1,8,6,4,7,3]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[2,8,5,6,1,3,4,7]=>[7,1,4,3,8,6,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[10,9,8,7,6,5,3,1,4,2]=>[1,2,3,4,5,6,8,10,7,9]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,1]
[3,10,9,8,7,6,5,4,1,2]=>[8,1,2,3,4,5,6,7,10,9]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[1,5,2,4,7,6,8,3]=>[8,4,7,5,2,3,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>[2,3,2,1]
[7,5,1,6,2,3,4,8]=>[2,4,8,3,7,6,5,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,2,6,5,1,3,4,8]=>[2,7,3,4,8,6,5,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[6,1,7,2,4,5,8,3]=>[3,8,2,7,5,4,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>[3,4,1]
[7,6,2,8,3,4,5,1]=>[2,3,7,1,6,5,4,8]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[2,5,4,7,1,8,3,6]=>[7,4,5,2,8,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[1,5,4,7,3,8,2,6]=>[8,4,5,2,6,1,7,3]=>[[1,3,5,7],[2,8],[4],[6]]=>[2,2,2,2]
[1,2,6,7,3,5,4,8]=>[8,7,3,2,6,4,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[5,6,8,7,4,2,3,1]=>[4,3,1,2,5,7,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[4,2,5,6,3,1,7,8]=>[5,7,4,3,6,8,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[5,2,3,7,6,8,4,1]=>[4,7,6,2,3,1,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[8,1,2,4,6,3,5,7]=>[1,8,7,5,3,6,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[4,2,5,6,3,7,8,1]=>[5,7,4,3,6,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[5,4,6,7,8,9,3,2,1]=>[5,6,4,3,2,1,7,8,9]=>[[1,2,7,8,9],[3],[4],[5],[6]]=>[6,3]
[6,5,7,8,9,4,3,2,1]=>[4,5,3,2,1,6,7,8,9]=>[[1,2,6,7,8,9],[3],[4],[5]]=>[5,4]
[3,7,8,4,5,6,1,2]=>[6,2,1,5,4,3,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[6,3,5,7,4,8,1,2]=>[3,6,4,2,5,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[4,5,2,1,8,3,6,7]=>[5,4,7,8,1,6,3,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[5,4,3,6,1,8,2,7]=>[4,5,6,3,8,1,7,2]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[2,6,5,3,7,1,8,4]=>[7,3,4,6,2,8,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[7,5,3,2,1,4,8,6]=>[2,4,6,7,8,5,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[1,8,6,3,7,4,5,2]=>[8,1,3,6,2,5,4,7]=>[[1,3,4,8],[2,6],[5],[7]]=>[2,3,2,1]
[6,4,8,7,3,2,5,1]=>[3,5,1,2,6,7,4,8]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,1]
[2,5,7,6,4,8,1,3]=>[7,4,2,3,5,1,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[6,2,8,3,7,4,5,1]=>[3,7,1,6,2,5,4,8]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[1,4,3,8,5,6,2,7]=>[8,5,6,1,4,3,7,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[4,5,8,7,2,3,6,1]=>[5,4,1,2,7,6,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[7,8,6,1,4,2,5,3]=>[2,1,3,8,5,7,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[8,3,6,4,7,2,1,5]=>[1,6,3,5,2,7,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[7,2,5,1,6,8,4,3]=>[2,7,4,8,3,1,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[5,1,8,7,2,4,3,6]=>[4,8,1,2,7,5,6,3]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[3,6,8,1,5,2,7,4]=>[6,3,1,8,4,7,2,5]=>[[1,4,6],[2,5,8],[3,7]]=>[3,2,2,1]
[3,8,5,1,4,6,2,7]=>[6,1,4,8,5,3,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,2,8,5,7,4,1,3]=>[3,7,1,4,2,5,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[2,7,8,5,6,4,3,1]=>[7,2,1,4,3,5,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,3]
[8,4,6,7,1,3,5,2]=>[1,5,3,2,8,6,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[3,1,5,8,7,4,2,6]=>[6,8,4,1,2,5,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[1,3,8,4,5,2,6,7]=>[8,6,1,5,4,7,3,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[3,2,3]
[8,3,1,4,6,7,2,5]=>[1,6,8,5,3,2,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[7,8,5,1,2,6,3,4]=>[2,1,4,8,7,3,6,5]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[2,5,8,3,4,6,1,7]=>[7,4,1,6,5,3,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[7,8,4,3,6,1,2,5]=>[2,1,5,6,3,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>[2,3,3]
[8,4,3,5,1,6,7,2]=>[1,5,6,4,8,3,2,7]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[5,2,8,6,7,4,1,3]=>[4,7,1,3,2,5,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[1,7,2,6,5,4,8,3]=>[8,2,7,3,4,5,1,6]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[5,4,8,3,7,6,2,1]=>[4,5,1,6,2,3,7,8]=>[[1,2,4,7,8],[3,5,6]]=>[3,2,3]
[6,3,1,7,2,4,8,5]=>[3,6,8,2,7,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[8,1,5,2,3,6,4,7]=>[1,8,4,7,6,3,5,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,5,2,1,3,6,4,7]=>[1,4,7,8,6,3,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[4,5,2,8,1,3,6,7]=>[5,4,7,1,8,6,3,2]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,4,2,5,6,1,3,7]=>[1,5,7,4,3,8,6,2]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[1,2,3,4,5,8,6,9,7,10]=>[10,9,8,7,6,3,5,2,4,1]=>[[1,7],[2,9],[3],[4],[5],[6],[8],[10]]=>[6,2,2]
[8,2,6,5,1,7,4,3]=>[1,7,3,4,8,2,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[8,3,2,1,7,5,4,6]=>[1,6,7,8,2,4,5,3]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[4,1,8,6,2,7,3,5]=>[5,8,1,3,7,2,6,4]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[2,6,5,4,8,7,1,3]=>[7,3,4,5,1,2,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[5,6,7,1,3,2,4,8]=>[4,3,2,8,6,7,5,1]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[7,1,8,4,3,2,6,5]=>[2,8,1,5,6,7,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[7,4,1,6,8,5,3,2]=>[2,5,8,3,1,4,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[8,6,3,7,5,4,2,1]=>[1,3,6,2,4,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[8,3,5,7,4,6,2,1]=>[1,6,4,2,5,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[3,8,2,5,7,6,4,1]=>[6,1,7,4,2,3,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[3,1,7,8,4,5,6,2]=>[6,8,2,1,5,4,3,7]=>[[1,2,8],[3,5],[4,6],[7]]=>[4,3,1]
[1,3,8,2,6,7,5,4]=>[8,6,1,7,3,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,1,7,2,6,8,5,4]=>[6,8,2,7,3,1,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[5,4,1,8,3,7,6,2]=>[4,5,8,1,6,2,3,7]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[1,8,5,2,7,6,4,3]=>[8,1,4,7,2,3,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[5,3,4,8,2,1,7,6]=>[4,6,5,1,7,8,2,3]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[5,2,3,6,1,7,4,8]=>[4,7,6,3,8,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[6,3,7,5,4,1,2,8]=>[3,6,2,4,5,8,7,1]=>[[1,2,5,6],[3,4,7],[8]]=>[3,5]
[1,5,7,6,2,3,8,4]=>[8,4,2,3,7,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[1,4,3,7,6,2,5,8]=>[8,5,6,2,3,7,4,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[1,3,7,4,6,8,5,2]=>[8,6,2,5,3,1,4,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[7,4,2,3,1,6,5,8]=>[2,5,7,6,8,3,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[9,8,6,4,2,1,3,5,7]=>[1,2,4,6,8,9,7,5,3]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9]
[4,1,5,6,2,8,7,3]=>[5,8,4,3,7,1,2,6]=>[[1,2,8],[3,5],[4,7],[6]]=>[4,2,2]
[3,4,7,8,1,5,2,6]=>[6,5,2,1,8,4,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,2,2]
[4,7,6,3,2,1,5,8]=>[5,2,3,6,7,8,4,1]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[3,2,6,1,7,5,4,8]=>[6,7,3,8,2,4,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[1,7,4,5,6,2,8,3]=>[8,2,5,4,3,7,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>[2,3,2,1]
[4,7,1,5,2,8,6,3]=>[5,2,8,4,7,1,3,6]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[4,7,1,5,8,6,3,2]=>[5,2,8,4,1,3,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>[2,3,3]
[4,7,5,1,2,3,8,6]=>[5,2,4,8,7,6,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[5,2,8,6,4,3,7,1]=>[4,7,1,3,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,7,4,5,1,2,8,6]=>[6,2,5,4,8,7,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[4,7,6,1,8,5,3,2]=>[5,2,3,8,1,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[3,6,2,1,8,7,5,4]=>[6,3,7,8,1,2,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>[2,3,3]
[8,6,5,3,7,4,1,2]=>[1,3,4,6,2,5,8,7]=>[[1,2,3,4,7],[5,6,8]]=>[5,3]
[8,7,6,2,1,4,5,3]=>[1,2,3,7,8,5,4,6]=>[[1,2,3,4,5],[6,8],[7]]=>[7,1]
[4,8,6,7,5,2,1,3]=>[5,1,3,2,4,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>[2,2,4]
[4,1,8,7,3,6,2,5]=>[5,8,1,2,6,3,7,4]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[1,6,5,8,4,2,3,7]=>[8,3,4,1,5,7,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[7,2,5,4,1,8,3,6]=>[2,7,4,5,8,1,6,3]=>[[1,2,4,5],[3,7],[6,8]]=>[3,3,2]
[8,6,2,5,1,4,7,3]=>[1,3,7,4,8,5,2,6]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[8,4,2,1,5,7,6,3]=>[1,5,7,8,4,2,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,2,6,7,4,3,5,1]=>[1,7,3,2,5,6,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,6,2,3,4,7,5,1]=>[1,3,7,6,5,2,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[3,2,5,8,1,4,7,6]=>[6,7,4,1,8,5,2,3]=>[[1,2,5],[3,6,8],[4,7]]=>[4,3,1]
[1,2,3,4,6,7,5,9,8]=>[9,8,7,6,4,3,5,1,2]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[6,2,1]
[8,2,5,7,6,4,1,3]=>[1,7,4,2,3,5,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[5,8,1,4,2,7,6,3]=>[4,1,8,5,7,2,3,6]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[7,6,1,8,3,5,4,2]=>[2,3,8,1,6,4,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[1,7,8,3,4,2,6,5]=>[8,2,1,6,5,7,3,4]=>[[1,4,6],[2,5,8],[3],[7]]=>[3,2,2,1]
[2,7,3,4,8,1,6,5]=>[7,2,6,5,1,8,3,4]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[2,1,6,7,4,5,3,8]=>[7,8,3,2,5,4,6,1]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[5,7,1,4,6,2,3,8]=>[4,2,8,5,3,7,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[4,3,7,1,5,6,2,8]=>[5,6,2,8,4,3,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[7,4,3,6,8,5,1,2]=>[2,5,6,3,1,4,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[5,2,1,6,7,4,8,3]=>[4,7,8,3,2,5,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>[5,2,1]
[3,8,6,2,7,1,4,5]=>[6,1,3,7,2,8,5,4]=>[[1,3,4,6],[2,7],[5,8]]=>[2,3,3]
[3,1,7,5,2,6,4,8]=>[6,8,2,4,7,3,5,1]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[3,5,2,8,7,6,1,4]=>[6,4,7,1,2,3,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>[2,2,4]
[7,4,2,6,1,8,5,3]=>[2,5,7,3,8,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[8,7,6,2,1,5,4,3]=>[1,2,3,7,8,4,5,6]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[3,8,1,2,5,4,6,7]=>[6,1,8,7,4,5,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[3,2,7,6,1,10,9,8,5,4]=>[8,9,4,5,10,1,2,3,6,7]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>[3,3,4]
[4,2,7,5,3,8,1,6]=>[5,7,2,4,6,1,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>[3,3,2]
[8,3,1,2,6,5,7,4]=>[1,6,8,7,3,4,2,5]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[8,7,1,5,4,2,6,3]=>[1,2,8,4,5,7,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[8,3,1,2,6,7,5,4]=>[1,6,8,7,3,2,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[4,7,3,6,1,5,8,2]=>[5,2,6,3,8,4,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[1,6,4,8,2,5,7,3]=>[8,3,5,1,7,4,2,6]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[8,3,2,1,7,5,6,4]=>[1,6,7,8,2,4,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[4,2,1,7,6,8,3,5]=>[5,7,8,2,3,1,6,4]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[8,4,2,3,6,1,7,5]=>[1,5,7,6,3,8,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,6,3,7,4,5,1,2]=>[1,3,6,2,5,4,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>[4,2,2]
[7,8,6,3,4,1,5,2]=>[2,1,3,6,5,8,4,7]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[8,6,7,3,1,4,5,2]=>[1,3,2,6,8,5,4,7]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[8,5,3,6,7,1,4,2]=>[1,4,6,3,2,8,5,7]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[1,2,3,4,5,8,7,6,9]=>[9,8,7,6,5,2,3,4,1]=>[[1,7,8],[2],[3],[4],[5],[6],[9]]=>[6,3]
[4,6,1,3,7,5,8,2]=>[5,3,8,6,2,4,1,7]=>[[1,3,8],[2,4],[5,6],[7]]=>[2,3,2,1]
[2,3,6,4,8,7,5,1]=>[7,6,3,5,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[3,2,3]
[2,3,7,4,6,8,5,1]=>[7,6,2,5,3,1,4,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>[3,3,2]
[8,1,5,7,6,3,4,2]=>[1,8,4,2,3,6,5,7]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,6,1,3,4,7,5,2]=>[1,3,8,6,5,2,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[5,7,4,2,8,3,1,6]=>[4,2,5,7,1,6,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[4,2,3,6,7,5,8,1]=>[5,7,6,3,2,4,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>[5,2,1]
[8,1,7,4,3,5,2,6]=>[1,8,2,5,6,4,7,3]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[7,3,2,4,5,8,6,1]=>[2,6,7,5,4,1,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[7,2,5,1,3,8,4,6]=>[2,7,4,8,6,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>[3,3,2]
[7,1,5,3,8,6,2,4]=>[2,8,4,6,1,3,7,5]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[5,8,6,1,3,7,2,4]=>[4,1,3,8,6,2,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[2,4,7,5,6,1,3,8]=>[7,5,2,4,3,8,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[7,4,6,3,1,5,8,2]=>[2,5,3,6,8,4,1,7]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[7,4,3,5,1,8,2,6]=>[2,5,6,4,8,1,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[7,6,5,2,3,1,8,4]=>[2,3,4,7,6,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[3,6,1,2,5,7,8,4]=>[6,3,8,7,4,2,1,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>[2,5,1]
[6,2,7,1,3,5,4,8]=>[3,7,2,8,6,4,5,1]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[2,3,7,1,5,4,6,8]=>[7,6,2,8,4,5,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[5,3,4,2,8,1,7,6]=>[4,6,5,7,1,8,2,3]=>[[1,2,4,6],[3,7,8],[5]]=>[3,2,2,1]
[8,3,6,7,5,4,2,1]=>[1,6,3,2,4,5,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>[4,4]
[8,7,2,6,3,1,5,4]=>[1,2,7,3,6,8,4,5]=>[[1,2,3,5,6],[4,8],[7]]=>[4,3,1]
[8,2,7,6,1,3,5,4]=>[1,7,2,3,8,6,4,5]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[8,7,2,4,6,5,1,3]=>[1,2,7,5,3,4,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[8,2,4,3,5,1,6,7]=>[1,7,5,6,4,8,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[8,2,4,6,5,1,3,7]=>[1,7,5,3,4,8,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[5,8,3,4,7,6,2,1]=>[4,1,6,5,2,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[8,4,1,7,6,3,5,2]=>[1,5,8,2,3,6,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[8,5,1,2,3,6,4,7]=>[1,4,8,7,6,3,5,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,3,2,7,5,1,4,6]=>[1,6,7,2,4,8,5,3]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[6,8,1,5,4,3,7,2]=>[3,1,8,4,5,6,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[1,7,5,4,2,6,8,3]=>[8,2,4,5,7,3,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[4,7,6,1,2,8,5,3]=>[5,2,3,8,7,1,4,6]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[1,5,4,6,8,2,7,3]=>[8,4,5,3,1,7,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[1,5,4,6,8,3,2,7]=>[8,4,5,3,1,6,7,2]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[1,3,4,6,8,7,2,5]=>[8,6,5,3,1,2,7,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,3]
[2,4,5,7,8,3,6,1]=>[7,5,4,2,1,6,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[4,7,1,3,6,2,8,5]=>[5,2,8,6,3,7,1,4]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[7,2,8,1,4,3,5,6]=>[2,7,1,8,5,6,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>[3,2,3]
[7,1,2,5,8,4,3,6]=>[2,8,7,4,1,5,6,3]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[7,4,2,5,6,8,3,1]=>[2,5,7,4,3,1,6,8]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,2]
[10,8,6,1,2,3,4,5,7,9]=>[1,3,5,10,9,8,7,6,4,2]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10]
[10,8,1,2,3,4,5,6,7,9]=>[1,3,10,9,8,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10]
[5,1,7,4,6,3,2,8]=>[4,8,2,5,3,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[1,4,6,3,5,2,7,8]=>[8,5,3,6,4,7,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[1,4,6,7,5,2,8,3]=>[8,5,3,2,4,7,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>[4,3,1]
[6,4,5,1,3,7,2,8]=>[3,5,4,8,6,2,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,4,8,1,3,5,2,7]=>[3,5,1,8,6,4,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[5,1,2,8,7,4,3,6]=>[4,8,7,1,2,5,6,3]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[8,4,5,1,3,6,2,7]=>[1,5,4,8,6,3,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[6,7,1,5,4,2,8,3]=>[3,2,8,4,5,7,1,6]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[3,8,1,7,5,4,6,2]=>[6,1,8,2,4,5,3,7]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[3,4,2,6,1,8,5,7]=>[6,5,7,3,8,1,4,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[4,2,3,7,1,8,5,6]=>[5,7,6,2,8,1,4,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[8,1,2,6,7,4,3,5]=>[1,8,7,3,2,5,6,4]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[4,2,6,7,1,5,3,8]=>[5,7,3,2,8,4,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[7,6,1,5,8,2,4,3]=>[2,3,8,4,1,7,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[4,7,3,1,2,5,8,6]=>[5,2,6,8,7,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[4,2,3,6,1,8,7,5]=>[5,7,6,3,8,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[5,4,3,6,8,2,1,7]=>[4,5,6,3,1,7,8,2]=>[[1,2,3,6,7],[4,8],[5]]=>[5,3]
[7,8,6,9,5,4,3,2,1]=>[3,2,4,1,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2],[4]]=>[2,2,5]
[8,9,7,10,6,5,4,3,2,1]=>[3,2,4,1,5,6,7,8,9,10]=>[[1,3,5,6,7,8,9,10],[2],[4]]=>[2,2,6]
[3,7,8,1,4,2,5,6]=>[6,2,1,8,5,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[8,4,2,7,5,6,3,1]=>[1,5,7,2,4,3,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[4,8,1,6,5,3,7,2]=>[5,1,8,3,4,6,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[3,8,6,1,5,4,7,2]=>[6,1,3,8,4,5,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[8,6,4,2,10,9,7,5,3,1]=>[3,5,7,9,1,2,4,6,8,10]=>[[1,2,3,4,9,10],[5,6,7,8]]=>[5,5]
[1,9,8,7,6,3,2,4,5]=>[9,1,2,3,4,7,8,6,5]=>[[1,3,4,5,6,7],[2],[8],[9]]=>[2,7]
[6,1,2,4,5,8,7,3]=>[3,8,7,5,4,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[7,4,3,6,8,1,5,2]=>[2,5,6,3,1,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[5,4,1,2,6,3,7,8]=>[4,5,8,7,3,6,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[2,6,1,8,7,5,4,3]=>[7,3,8,1,2,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,8,1,10,9,7,6,5,4,3]=>[9,3,10,1,2,4,5,6,7,8]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>[2,2,6]
[5,6,1,7,3,2,4,8]=>[4,3,8,2,6,7,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[4,5,6,1,3,7,2,8]=>[5,4,3,8,6,2,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[1,4,3,7,5,2,6,8]=>[8,5,6,2,4,7,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[2,7,4,3,1,6,5,8]=>[7,2,5,6,8,3,4,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[6,2,5,3,1,8,4,7]=>[3,7,4,6,8,1,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[3,7,4,6,5,1,2,8]=>[6,2,5,3,4,8,7,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[3,8,4,6,5,1,2,7]=>[6,1,5,3,4,8,7,2]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[3,8,7,1,2,6,5,4]=>[6,1,2,8,7,3,4,5]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[8,2,3,1,5,4,6,7]=>[1,7,6,8,4,5,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[3,8,4,5,1,7,2,6]=>[6,1,5,4,8,2,7,3]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[7,5,1,4,3,6,8,2]=>[2,4,8,5,6,3,1,7]=>[[1,2,3,5,8],[4],[6],[7]]=>[4,3,1]
[3,7,5,6,2,4,8,1]=>[6,2,4,3,7,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[4,2,3,8,7,1,6,5]=>[5,7,6,1,2,8,3,4]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,1]
[1,7,4,5,8,2,6,3]=>[8,2,5,4,1,7,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>[2,3,2,1]
[5,8,6,2,1,3,4,7]=>[4,1,3,7,8,6,5,2]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[8,2,1,3,5,4,6,7]=>[1,7,8,6,4,5,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>[5,3]
[6,1,2,4,8,7,3,5]=>[3,8,7,5,1,2,6,4]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[2,6,4,1,7,3,8,5]=>[7,3,5,8,2,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[1,3,5,8,7,4,2,6]=>[8,6,4,1,2,5,7,3]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[1,4,7,5,6,3,8,2]=>[8,5,2,4,3,6,1,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>[3,2,2,1]
[2,8,5,3,7,6,1,4]=>[7,1,4,6,2,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>[2,3,3]
[8,3,5,2,4,7,6,1]=>[1,6,4,7,5,2,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[4,1,3,6,2,8,7,5]=>[5,8,6,3,7,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[5,2,4,7,1,3,8,6]=>[4,7,5,2,8,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[5,2,4,6,3,1,8,7]=>[4,7,5,3,6,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,6,1,7,8,5,4,3]=>[7,3,8,2,1,4,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>[2,3,3]
[8,3,5,6,7,2,1,4]=>[1,6,4,3,2,7,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[2,6,3,7,4,5,1,8]=>[7,3,6,2,5,4,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[6,2,3,4,7,5,1,8]=>[3,7,6,5,2,4,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[7,8,2,5,1,4,6,3]=>[2,1,7,4,8,5,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[8,6,3,1,2,7,4,5]=>[1,3,6,8,7,2,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[4,5,7,1,3,2,6,8]=>[5,4,2,8,6,7,3,1]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[4,1,3,8,7,2,5,6]=>[5,8,6,1,2,7,4,3]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[2,1,7,3,5,6,4,8]=>[7,8,2,6,4,3,5,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[3,4,9,7,5,1,10,8,6,2]=>[8,7,2,4,6,10,1,3,5,9]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>[3,4,3]
[5,6,9,7,3,1,10,8,4,2]=>[6,5,2,4,8,10,1,3,7,9]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>[3,4,3]
[3,4,5,6,9,7,1,10,8,2]=>[8,7,6,5,2,4,10,1,3,9]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>[5,3,2]
[7,1,8,2,9,5,3,10,6,4]=>[4,10,3,9,2,6,8,1,5,7]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>[3,2,3,2]
[5,1,6,2,11,9,7,3,12,10,8,4]=>[8,12,7,11,2,4,6,10,1,3,5,9]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>[3,2,4,3]
[7,1,8,2,11,9,5,3,12,10,6,4]=>[6,12,5,11,2,4,8,10,1,3,7,9]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>[3,2,4,3]
[7,3,8,4,11,9,5,1,12,10,6,2]=>[6,10,5,9,2,4,8,12,1,3,7,11]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>[3,2,4,3]
[1,2,7,3,8,4,11,9,5,12,10,6]=>[12,11,6,10,5,9,2,4,8,1,3,7]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>[3,2,2,3,2]
[5,6,7,1,8,2,11,9,3,12,10,4]=>[8,7,6,12,5,11,2,4,10,1,3,9]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>[3,2,2,3,2]
[9,1,10,2,11,7,5,3,12,8,6,4]=>[4,12,3,11,2,6,8,10,1,5,7,9]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>[3,2,4,3]
[9,3,10,4,11,7,5,1,12,8,6,2]=>[4,10,3,9,2,6,8,12,1,5,7,11]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>[3,2,4,3]
[1,2,9,3,10,4,11,7,5,12,8,6]=>[12,11,4,10,3,9,2,6,8,1,5,7]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>[3,2,2,3,2]
[9,5,10,6,11,7,3,1,12,8,4,2]=>[4,8,3,7,2,6,10,12,1,5,9,11]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>[3,2,4,3]
[3,4,9,5,10,6,11,7,1,12,8,2]=>[10,9,4,8,3,7,2,6,12,1,5,11]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>[3,2,2,3,2]
[7,8,9,1,10,2,11,5,3,12,6,4]=>[6,5,4,12,3,11,2,8,10,1,7,9]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>[3,2,2,3,2]
[7,8,9,3,10,4,11,5,1,12,6,2]=>[6,5,4,10,3,9,2,8,12,1,7,11]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>[3,2,2,3,2]
[7,5,2,8,3,6,4,1]=>[2,4,7,1,6,3,5,8]=>[[1,2,3,8],[4,5,7],[6]]=>[4,2,2]
[1,10,3,2,5,4,7,6,9,8]=>[10,1,8,9,6,7,4,5,2,3]=>[[1,3,4],[2,6],[5,8],[7,10],[9]]=>[2,3,2,2,1]
[3,8,2,6,4,1,7,5]=>[6,1,7,3,5,8,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[7,8,5,2,1,3,6,4]=>[2,1,4,7,8,6,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[10,9,8,7,6,4,5,3,2,1]=>[1,2,3,4,5,7,6,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,3]
[10,9,8,7,6,4,3,2,5,1]=>[1,2,3,4,5,7,8,9,6,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1]
[8,5,4,7,3,2,6,1]=>[1,4,5,2,6,7,3,8]=>[[1,2,3,5,6,8],[4,7]]=>[4,3,1]
[8,9,6,5,7,4,3,2,1]=>[2,1,4,5,3,6,7,8,9]=>[[1,3,4,6,7,8,9],[2,5]]=>[2,3,4]
[5,8,2,6,7,1,4,3]=>[4,1,7,3,2,8,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[5,3,4,2,8,6,1,7]=>[4,6,5,7,1,3,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[8,2,1,5,3,6,7,4]=>[1,7,8,4,6,3,2,5]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[8,2,5,3,1,6,7,4]=>[1,7,4,6,8,3,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[2,8,3,6,5,1,7,4]=>[7,1,6,3,4,8,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[8,1,3,5,2,6,7,4]=>[1,8,6,4,7,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[6,2,4,1,7,5,3,8]=>[3,7,5,8,2,4,6,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[5,3,7,8,6,2,1,4]=>[4,6,2,1,3,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[1,3,2,7,8,6,4,5]=>[8,6,7,2,1,3,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[1,5,8,6,3,2,4,7]=>[8,4,1,3,6,7,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[1,4,2,6,5,3,7,8]=>[8,5,7,3,4,6,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>[2,2,4]
[1,8,7,3,5,2,4,6]=>[8,1,2,6,4,7,5,3]=>[[1,3,4,6],[2,7],[5],[8]]=>[2,3,3]
[8,3,7,6,4,1,5,2]=>[1,6,2,3,5,8,4,7]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[8,7,1,5,4,3,6,2]=>[1,2,8,4,5,6,3,7]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[1,8,3,2,4,7,6,5]=>[8,1,6,7,5,2,3,4]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[8,3,4,6,1,7,5,2]=>[1,6,5,3,8,2,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[8,7,4,6,3,1,2,5]=>[1,2,5,3,6,8,7,4]=>[[1,2,3,5,6],[4,7],[8]]=>[4,4]
[8,3,6,7,2,5,4,1]=>[1,6,3,2,7,4,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[1,6,4,2,5,8,7,3]=>[8,3,5,7,4,1,2,6]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[2,7,3,6,8,1,5,4]=>[7,2,6,3,1,8,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[1,2,6,8,3,5,7,4]=>[8,7,3,1,6,4,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>[4,3,1]
[8,2,9,7,6,5,4,1,3]=>[2,8,1,3,4,5,6,9,7]=>[[1,2,5,6,7,8],[3,4,9]]=>[3,6]
[6,4,3,2,7,5,1,8]=>[3,5,6,7,2,4,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[3,5,2,1,8,7,4,6]=>[6,4,7,8,1,2,5,3]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[3,2,5,8,1,7,4,6]=>[6,7,4,1,8,2,5,3]=>[[1,2,5],[3,6,7],[4,8]]=>[4,2,2]
[5,2,4,7,6,3,1,8]=>[4,7,5,2,3,6,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,6,3,2,1,7,8,5]=>[5,3,6,7,8,2,1,4]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[5,1,8,3,4,7,2,6]=>[4,8,1,6,5,2,7,3]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[5,6,2,3,8,7,1,4]=>[4,3,7,6,1,2,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[8,6,5,3,2,7,4,1]=>[1,3,4,6,7,2,5,8]=>[[1,2,3,4,5,8],[6,7]]=>[6,2]
[6,8,4,3,5,7,2,1]=>[3,1,5,6,4,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[2,3,8,1,7,4,6,5]=>[7,6,1,8,2,5,3,4]=>[[1,4,6,8],[2,5],[3],[7]]=>[3,2,2,1]
[7,1,5,6,2,8,4,3]=>[2,8,4,3,7,1,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[8,2,5,7,1,4,3,6]=>[1,7,4,2,8,5,6,3]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[3,5,2,7,8,6,1,4]=>[6,4,7,2,1,3,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>[2,3,3]
[6,7,3,5,2,8,4,1]=>[3,2,6,4,7,1,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[1,2,3,4,7,8,9,6,5]=>[9,8,7,6,3,2,1,4,5]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,2]
[1,8,7,6,5,4,3,2,9,10]=>[10,3,4,5,6,7,8,9,2,1]=>[[1,3,4,5,6,7,8],[2],[9],[10]]=>[2,8]
[1,8,7,6,5,4,3,2,10,9]=>[10,3,4,5,6,7,8,9,1,2]=>[[1,3,4,5,6,7,8],[2,10],[9]]=>[2,7,1]
[6,2,3,7,1,4,8,5]=>[3,7,6,2,8,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[1,8,7,5,3,6,2,4]=>[8,1,2,4,6,3,7,5]=>[[1,3,4,5,7],[2,8],[6]]=>[2,4,2]
[8,3,4,6,7,1,2,5]=>[1,6,5,3,2,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[8,5,2,4,7,6,1,3]=>[1,4,7,5,2,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[1,5,4,7,2,3,6,8]=>[8,4,5,2,7,6,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[6,7,2,5,8,3,4,1]=>[3,2,7,4,1,6,5,8]=>[[1,3,6,8],[2,4],[5,7]]=>[2,3,2,1]
[10,1,8,7,6,5,4,3,2,9]=>[1,10,3,4,5,6,7,8,9,2]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>[3,7]
[3,8,6,7,4,1,2,5]=>[6,1,3,2,5,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>[2,2,4]
[8,7,3,1,5,6,4,2]=>[1,2,6,8,4,3,5,7]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[6,1,4,7,5,2,3,8]=>[3,8,5,2,4,7,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>[4,4]
[8,2,3,6,4,5,7,1]=>[1,7,6,3,5,4,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[2,4,8,5,1,7,6,3]=>[7,5,1,4,8,2,3,6]=>[[1,4,5,8],[2,7],[3],[6]]=>[3,3,2]
[7,4,1,3,5,8,2,6]=>[2,5,8,6,4,1,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[3,6,4,7,2,1,5,8]=>[6,3,5,2,7,8,4,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[8,2,1,5,4,7,6,3]=>[1,7,8,4,5,2,3,6]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[7,3,1,8,5,2,4,6]=>[2,6,8,1,4,7,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[2,4,6,8,9,7,5,3,1]=>[8,6,4,2,1,3,5,7,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4]
[3,7,6,2,8,5,4,1]=>[6,2,3,7,1,4,5,8]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[5,7,2,6,8,3,1,4]=>[4,2,7,3,1,6,8,5]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[6,2,8,3,4,1,7,5]=>[3,7,1,6,5,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[6,3,1,4,2,5,7,8]=>[3,6,8,5,7,4,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[7,6,2,5,1,8,3,4]=>[2,3,7,4,8,1,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2]
[3,8,6,5,4,7,2,1]=>[6,1,3,4,5,2,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>[2,4,2]
[2,8,4,6,7,5,1,3]=>[7,1,5,3,2,4,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,1,7,4,6,2,8,3]=>[4,8,2,5,3,7,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[2,3,8,7,6,1,5,4]=>[7,6,1,2,3,8,4,5]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[6,1,8,2,4,7,5,3]=>[3,8,1,7,5,2,4,6]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[7,2,3,1,6,4,5,8]=>[2,7,6,8,3,5,4,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[8,2,3,1,6,4,5,7]=>[1,7,6,8,3,5,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[8,2,5,1,4,7,6,3]=>[1,7,4,8,5,2,3,6]=>[[1,2,4,8],[3,5],[6,7]]=>[3,3,2]
[8,2,1,9,7,6,5,4,3]=>[2,8,9,1,3,4,5,6,7]=>[[1,2,3,7,8,9],[4,5,6]]=>[4,5]
[8,3,2,1,9,7,6,5,4]=>[2,7,8,9,1,3,4,5,6]=>[[1,2,3,4,9],[5,6,7,8]]=>[5,4]
[8,1,3,4,5,6,2,7]=>[1,8,6,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[6,2]
[7,8,1,5,2,3,4,6]=>[2,1,8,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[6,5,3,7,4,2,8,1]=>[3,4,6,2,5,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[3,5,8,7,6,2,1,4]=>[6,4,1,2,3,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[3,5,8,1,6,2,4,7]=>[6,4,1,8,3,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[4,5,6,8,7,2,3,1]=>[5,4,3,1,2,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,4,3,5,1,8,6,2]=>[2,5,6,4,8,1,3,7]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[7,8,4,1,3,5,2,6]=>[2,1,5,8,6,4,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[8,3,5,2,4,6,7,1]=>[1,6,4,7,5,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[7,3,1,6,4,8,5,2]=>[2,6,8,3,5,1,4,7]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[3,7,2,6,5,4,8,1]=>[6,2,7,3,4,5,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[1,4,5,2,7,8,6,3]=>[8,5,4,7,2,1,3,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[3,1,5,6,4,7,2,8]=>[6,8,4,3,5,2,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[6,3,4,1,5,7,2,8]=>[3,6,5,8,4,2,7,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[6,3,1,8,4,2,5,7]=>[3,6,8,1,5,7,4,2]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[2,5,7,1,6,8,4,3]=>[7,4,2,8,3,1,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[1,4,3,8,2,7,5,6]=>[8,5,6,1,7,2,4,3]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[1,8,3,5,2,4,6,7]=>[8,1,6,4,7,5,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[3,8,5,4,1,6,2,7]=>[6,1,4,5,8,3,7,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[5,8,1,3,6,2,4,7]=>[4,1,8,6,3,7,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[5,1,8,3,6,2,4,7]=>[4,8,1,6,3,7,5,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[3,1,6,8,4,5,2,7]=>[6,8,3,1,5,4,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[6,1,3,7,5,4,2,8]=>[3,8,6,2,4,5,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[2,1,7,5,3,4,8,6]=>[7,8,2,4,6,5,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[2,4,6,8,10,9,7,5,3,1]=>[9,7,5,3,1,2,4,6,8,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,5]
[8,3,7,5,6,4,1,2]=>[1,6,2,4,3,5,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[8,3,7,6,2,4,1,5]=>[1,6,2,3,7,5,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[5,2,4,7,3,6,1,8]=>[4,7,5,2,6,3,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[8,6,7,2,1,5,3,4]=>[1,3,2,7,8,4,6,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,8,6,3,5,4,1,2]=>[2,1,3,6,4,5,8,7]=>[[1,3,4,6,7],[2,5,8]]=>[2,3,3]
[3,2,6,8,4,5,1,7]=>[6,7,3,1,5,4,8,2]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[5,1,3,6,2,7,8,4]=>[4,8,6,3,7,2,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[7,6,1,4,8,5,3,2]=>[2,3,8,5,1,4,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[9,8,7,6,5,1,10,4,3,2]=>[2,3,4,5,6,10,1,7,8,9]=>[[1,2,3,4,5,6,9,10],[7,8]]=>[7,3]
[9,8,7,6,1,10,5,4,3,2]=>[2,3,4,5,10,1,6,7,8,9]=>[[1,2,3,4,5,8,9,10],[6,7]]=>[6,4]
[9,8,7,1,10,6,5,4,3,2]=>[2,3,4,10,1,5,6,7,8,9]=>[[1,2,3,4,7,8,9,10],[5,6]]=>[5,5]
[1,7,8,5,6,2,4,3]=>[8,2,1,4,3,7,5,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[4,1,7,6,8,3,5,2]=>[5,8,2,3,1,6,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[5,6,1,8,2,4,3,7]=>[4,3,8,1,7,5,6,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[1,7,5,6,2,4,8,3]=>[8,2,4,3,7,5,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[1,7,4,8,2,3,6,5]=>[8,2,5,1,7,6,3,4]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[1,7,4,8,2,3,5,6]=>[8,2,5,1,7,6,4,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[4,3,8,5,6,1,2,7]=>[5,6,1,4,3,8,7,2]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[8,6,7,5,2,4,1,3]=>[1,3,2,4,7,5,8,6]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[4,5,1,3,2,8,7,6]=>[5,4,8,6,7,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>[2,2,2,2]
[7,8,2,6,1,3,5,4]=>[2,1,7,3,8,6,4,5]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[2,5,4,6,1,8,3,7]=>[7,4,5,3,8,1,6,2]=>[[1,3,5],[2,7],[4,8],[6]]=>[2,2,2,2]
[3,4,1,8,5,6,2,7]=>[6,5,8,1,4,3,7,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>[2,2,2,2]
[2,5,1,6,8,4,3,7]=>[7,4,8,3,1,5,6,2]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[6,1,3,7,2,5,4,8]=>[3,8,6,2,7,4,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[5,8,1,3,4,6,2,7]=>[4,1,8,6,5,3,7,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[4,6,5,1,8,2,7,3]=>[5,3,4,8,1,7,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>[2,3,2,1]
[4,8,3,6,7,5,1,2]=>[5,1,6,3,2,4,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[1,6,3,2,7,8,5,4]=>[8,3,6,7,2,1,4,5]=>[[1,3,4],[2,7,8],[5],[6]]=>[2,4,2]
[1,4,3,8,6,7,2,5]=>[8,5,6,1,3,2,7,4]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[10,9,8,7,6,5,3,2,4,1]=>[1,2,3,4,5,6,8,9,7,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1]
[9,8,7,6,3,2,5,4,1]=>[1,2,3,4,7,8,5,6,9]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,2]
[9,8,7,6,2,1,5,4,3]=>[1,2,3,4,8,9,5,6,7]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,2]
[2,3,7,6,4,1,8,5]=>[7,6,2,3,5,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>[3,4,1]
[8,3,4,6,7,2,5,1]=>[1,6,5,3,2,7,4,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[8,2,7,3,5,6,4,1]=>[1,7,2,6,4,3,5,8]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[6,5,2,7,8,3,4,1]=>[3,4,7,2,1,6,5,8]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[8,3,5,4,7,2,6,1]=>[1,6,4,5,2,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[3,6,7,4,8,2,5,1]=>[6,3,2,5,1,7,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>[3,2,2,1]
[8,3,1,2,7,4,6,5]=>[1,6,8,7,2,5,3,4]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[10,9,8,7,6,5,3,4,2,1]=>[1,2,3,4,5,6,8,7,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,2]
[10,9,7,8,6,5,4,3,2,1]=>[1,2,4,3,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,6]
[8,5,2,6,4,1,3,7]=>[1,4,7,3,5,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>[4,4]
[5,2,3,7,1,4,8,6]=>[4,7,6,2,8,5,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[4,7,2,3,8,1,5,6]=>[5,2,7,6,1,8,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[6,3,4,7,1,5,8,2]=>[3,6,5,2,8,4,1,7]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[7,3,1,5,4,6,8,2]=>[2,6,8,4,5,3,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[2,3,7,5,1,6,8,4]=>[7,6,2,4,8,3,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>[3,4,1]
[3,8,1,4,5,2,6,7]=>[6,1,8,5,4,7,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[4,5,3,1,8,6,2,7]=>[5,4,6,8,1,3,7,2]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[8,1,3,5,4,2,7,6]=>[1,8,6,4,5,7,2,3]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[2,6,4,5,1,7,3,8]=>[7,3,5,4,8,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[8,1,3,2,5,7,6,4]=>[1,8,6,7,4,2,3,5]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[8,1,6,7,4,3,5,2]=>[1,8,3,2,5,6,4,7]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[3,9,2,8,7,1,6,5,4]=>[7,1,8,2,3,9,4,5,6]=>[[1,3,5,6,8,9],[2,4,7]]=>[2,2,3,2]
[6,5,4,3,2,9,8,7,1]=>[4,5,6,7,8,1,2,3,9]=>[[1,2,3,4,5,9],[6,7,8]]=>[6,3]
[5,4,3,8,7,2,6,1]=>[4,5,6,1,2,7,3,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[4,3,2,9,8,7,6,5,1]=>[6,7,8,1,2,3,4,5,9]=>[[1,2,3,7,8,9],[4,5,6]]=>[4,5]
[6,5,4,3,2,10,9,8,7,1]=>[5,6,7,8,9,1,2,3,4,10]=>[[1,2,3,4,5,10],[6,7,8,9]]=>[6,4]
[5,4,3,2,10,9,8,7,6,1]=>[6,7,8,9,1,2,3,4,5,10]=>[[1,2,3,4,9,10],[5,6,7,8]]=>[5,5]
[3,6,1,2,7,5,4,8]=>[6,3,8,7,2,4,5,1]=>[[1,3,7],[2,4],[5,6],[8]]=>[2,3,3]
[7,1,5,6,2,4,3,8]=>[2,8,4,3,7,5,6,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,4,1,2,5,8,6,3]=>[2,5,8,7,4,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,2]
[1,6,2,4,5,7,3,8]=>[8,3,7,5,4,2,6,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[2,4,2]
[5,7,8,4,6,2,3,1]=>[4,2,1,5,3,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[2,6,8,5,7,3,4,1]=>[7,3,1,4,2,6,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,5,1,2,3,6,4,8]=>[2,4,8,7,6,3,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[7,3,1,4,2,5,6,8]=>[2,6,8,5,7,4,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>[4,4]
[5,3,4,6,8,7,2,1]=>[4,6,5,3,1,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[5,4,1,3,8,7,2,6]=>[4,5,8,6,1,2,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,6,3,5,1,4,7,2]=>[1,3,6,4,8,5,2,7]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[3,6,1,7,4,5,8,2]=>[6,3,8,2,5,4,1,7]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[8,7,1,5,3,2,4,6]=>[1,2,8,4,6,7,5,3]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[8,7,2,1,6,5,3,4]=>[1,2,7,8,3,4,6,5]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[8,7,3,1,2,6,5,4]=>[1,2,6,8,7,3,4,5]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[4,7,6,3,2,1,8,5]=>[5,2,3,6,7,8,1,4]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[5,3,6,8,7,4,2,1]=>[4,6,3,1,2,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[4,6,7,5,2,8,1,3]=>[5,3,2,4,7,1,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[4,8,3,1,6,5,2,7]=>[5,1,6,8,3,4,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[2,5,1,8,4,3,6,7]=>[7,4,8,1,5,6,3,2]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[5,2,3,8,6,7,1,4]=>[4,7,6,1,3,2,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[3,2,5,8,6,7,1,4]=>[6,7,4,1,3,2,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[2,1,5,8,6,3,4,7]=>[7,8,4,1,3,6,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[1,3,6,7,8,4,5,2]=>[8,6,3,2,1,5,4,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,2,1]
[8,5,7,3,1,4,6,2]=>[1,4,2,6,8,5,3,7]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[8,7,2,3,6,4,1,5]=>[1,2,7,6,3,5,8,4]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[8,1,2,7,6,5,3,4]=>[1,8,7,2,3,4,6,5]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[1,3,2,5,6,7,8,9,10,4]=>[10,8,9,6,5,4,3,2,1,7]=>[[1,3],[2,10],[4],[5],[6],[7],[8],[9]]=>[2,7,1]
[5,4,3,1,2,6,8,7]=>[4,5,6,8,7,3,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[9,1,8,7,6,5,4,3,2,10]=>[2,10,3,4,5,6,7,8,9,1]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>[3,7]
[2,3,8,1,7,5,4,6]=>[7,6,1,8,2,4,5,3]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[5,1,7,3,4,6,2,8]=>[4,8,2,6,5,3,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[8,2,3,7,6,1,5,4]=>[1,7,6,2,3,8,4,5]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[4,6,1,5,3,7,2,8]=>[5,3,8,4,6,2,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,8,4,3,1,2,6,7]=>[4,1,5,6,8,7,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>[2,6]
[6,5,4,1,7,3,2,8]=>[3,4,5,8,2,6,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[6,1,3,5,8,4,7,2]=>[3,8,6,4,1,5,2,7]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[3,2,4,8,5,1,6,7]=>[6,7,5,1,4,8,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[4,8,3,1,6,2,5,7]=>[5,1,6,8,3,7,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,3,4,2,6,1,5,7]=>[1,6,5,7,3,8,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[6,2,1,3,4,7,5,8]=>[3,7,8,6,5,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[5,4,7,2,1,3,6,8]=>[4,5,2,7,8,6,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>[3,5]
[5,8,3,2,4,6,7,1]=>[4,1,6,7,5,3,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>[2,5,1]
[8,1,2,6,4,7,3,5]=>[1,8,7,3,5,2,6,4]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,2]
[3,1,2,4,5,8,7,6]=>[6,8,7,5,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,2]
[8,6,2,7,3,5,4,1]=>[1,3,7,2,6,4,5,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[7,1,8,6,5,4,3,2,9]=>[3,9,2,4,5,6,7,8,1]=>[[1,2,5,6,7,8],[3,4],[9]]=>[3,6]
[6,3,8,5,1,2,7,4]=>[3,6,1,4,8,7,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[1,4,5,8,3,7,2,6]=>[8,5,4,1,6,2,7,3]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[6,3,1,5,8,4,7,2]=>[3,6,8,4,1,5,2,7]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[7,5,4,1,6,8,3,2]=>[2,4,5,8,3,1,6,7]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[3,7,2,6,1,4,8,5]=>[6,2,7,3,8,5,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[2,8,7,4,6,5,1,3]=>[7,1,2,5,3,4,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,3,6,4,8,5,1,7]=>[7,6,3,5,1,4,8,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[6,3,1,5,7,2,8,4]=>[3,6,8,4,2,7,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[6,4,1,3,8,2,7,5]=>[3,5,8,6,1,7,2,4]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[7,8,1,5,3,4,2,6]=>[2,1,8,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,3,4,7,2,6,8,1]=>[4,6,5,2,7,3,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[1,5,4,8,6,7,3,2]=>[8,4,5,1,3,2,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>[2,2,2,2]
[2,8,5,1,3,6,4,7]=>[7,1,4,8,6,3,5,2]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[7,3,4,6,1,8,5,2]=>[2,6,5,3,8,1,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[6,3,4,8,5,2,7,1]=>[3,6,5,1,4,7,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[5,8,6,1,4,3,7,2]=>[4,1,3,8,5,6,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>[2,3,2,1]
[4,6,5,8,3,7,2,1]=>[5,3,4,1,6,2,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>[2,2,2,2]
[5,2,8,3,1,7,6,4]=>[4,7,1,6,8,2,3,5]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[6,3,1,5,8,7,4,2]=>[3,6,8,4,1,2,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[8,6,1,3,2,5,4,7]=>[1,3,8,6,7,4,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[2,8,4,3,6,5,1,7]=>[7,1,5,6,3,4,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[2,8,1,4,6,5,3,7]=>[7,1,8,5,3,4,6,2]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[6,2,8,3,1,5,4,7]=>[3,7,1,6,8,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[4,8,3,5,2,1,7,6]=>[5,1,6,4,7,8,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>[2,2,3,1]
[8,5,2,4,7,3,6,1]=>[1,4,7,5,2,6,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[5,2,6,7,3,1,8,4]=>[4,7,3,2,6,8,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[7,8,2,6,4,3,1,5]=>[2,1,7,3,5,6,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[1,10,9,8,7,6,5,2,3,4]=>[10,1,2,3,4,5,6,9,8,7]=>[[1,3,4,5,6,7,8],[2],[9],[10]]=>[2,8]
[6,7,3,4,2,8,5,1]=>[3,2,6,5,7,1,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[8,4,7,3,2,1,6,5]=>[1,5,2,6,7,8,3,4]=>[[1,2,4,5,6],[3,7,8]]=>[3,4,1]
[6,8,5,7,4,1,3,2]=>[3,1,4,2,5,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>[2,2,3,1]
[6,7,2,5,1,3,8,4]=>[3,2,7,4,8,6,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[8,4,2,6,1,3,7,5]=>[1,5,7,3,8,6,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[7,2,4,6,8,5,1,3]=>[2,7,5,3,1,4,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[8,1,3,4,7,5,2,6]=>[1,8,6,5,2,4,7,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>[5,3]
[4,8,7,2,3,6,5,1]=>[5,1,2,7,6,3,4,8]=>[[1,3,4,7,8],[2,5],[6]]=>[2,4,2]
[8,3,2,4,1,5,7,6]=>[1,6,7,5,8,4,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[1,5,3,8,6,2,7,4]=>[8,4,6,1,3,7,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[3,6,5,1,8,7,2,4]=>[6,3,4,8,1,2,7,5]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[2,6,3,8,5,7,1,4]=>[7,3,6,1,4,2,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>[2,2,2,2]
[7,6,8,2,1,4,3,5]=>[2,3,1,7,8,5,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[7,3,4,2,1,6,8,5]=>[2,6,5,7,8,3,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>[3,4,1]
[4,1,6,2,8,5,3,7]=>[5,8,3,7,1,4,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>[3,2,3]
[7,4,1,8,6,5,2,3]=>[2,5,8,1,3,4,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>[4,4]
[7,4,2,5,8,6,1,3]=>[2,5,7,4,1,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[3,2,5,7,8,1,4,6]=>[6,7,4,2,1,8,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,3]
[1,4,6,3,7,8,2,5]=>[8,5,3,6,2,1,7,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>[3,3,2]
[6,3,5,2,7,8,1,4]=>[3,6,4,7,2,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[6,8,3,4,2,7,5,1]=>[3,1,6,5,7,2,4,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[8,3,2,5,7,1,6,4]=>[1,6,7,4,2,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,3,1,6,4,7,5,2]=>[1,6,8,3,5,2,4,7]=>[[1,2,3,8],[4,5],[6,7]]=>[4,2,2]
[2,5,8,3,4,7,6,1]=>[7,4,1,6,5,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[8,3,6,2,1,5,7,4]=>[1,6,3,7,8,4,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[1,8,6,4,3,5,2,7]=>[8,1,3,5,6,4,7,2]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[4,6,2,5,3,7,1,8]=>[5,3,7,4,6,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[7,1,4,3,6,8,5,2]=>[2,8,5,6,3,1,4,7]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[5,1,8,2,4,7,6,3]=>[4,8,1,7,5,2,3,6]=>[[1,2,7,8],[3,4],[5],[6]]=>[3,3,2]
[10,1,9,8,7,6,5,4,2,3]=>[1,10,2,3,4,5,6,7,9,8]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>[3,7]
[8,2,7,4,3,1,6,5]=>[1,7,2,5,6,8,3,4]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[8,3,1,4,5,2,7,6]=>[1,6,8,5,4,7,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>[5,2,1]
[8,6,1,7,4,3,5,2]=>[1,3,8,2,5,6,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[2,7,4,1,3,8,6,5]=>[7,2,5,8,6,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[7,6,4,2,1,8,5,3]=>[2,3,5,7,8,1,4,6]=>[[1,2,3,4,5],[6,7,8]]=>[6,2]
[8,6,4,3,5,1,7,2]=>[1,3,5,6,4,8,2,7]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[4,6,3,2,5,7,1,8]=>[5,3,6,7,4,2,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[6,2,7,4,1,3,5,8]=>[3,7,2,5,8,6,4,1]=>[[1,2,5],[3,4,6],[7],[8]]=>[3,5]
[4,5,7,3,1,2,6,8]=>[5,4,2,6,8,7,3,1]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[6,7,1,2,5,3,4,8]=>[3,2,8,7,4,6,5,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>[2,3,3]
[2,7,6,3,1,8,5,4]=>[7,2,3,6,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[8,6,7,1,2,4,5,3]=>[1,3,2,8,7,5,4,6]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[8,2,3,5,7,4,6,1]=>[1,7,6,4,2,5,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,2,1]
[6,1,3,2,4,5,7,8]=>[3,8,6,7,5,4,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,5]
[2,8,1,7,3,6,5,4]=>[7,1,8,2,6,3,4,5]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[7,2,3,6,1,4,5,8]=>[2,7,6,3,8,5,4,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[2,1,3,8,5,6,4,7]=>[7,8,6,1,4,3,5,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[2,7,5,8,4,6,1,3]=>[7,2,4,1,5,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>[2,2,2,2]
[5,4,7,3,1,6,2,8]=>[4,5,2,6,8,3,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[6,4,1,3,8,7,2,5]=>[3,5,8,6,1,2,7,4]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[4,2,1,7,5,6,3,8]=>[5,7,8,2,4,3,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>[4,2,2]
[8,4,3,6,1,5,7,2]=>[1,5,6,3,8,4,2,7]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[4,5,1,6,3,7,8,2]=>[5,4,8,3,6,2,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[6,2,1,4,5,7,3,8]=>[3,7,8,5,4,2,6,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[2,3,7,1,5,4,8,6]=>[7,6,2,8,4,5,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]
[7,1,2,4,3,8,5,6]=>[2,8,7,5,6,1,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[2,4,7,6,5,1,3,8]=>[7,5,2,3,4,8,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,1,2,7,8,6,5,4]=>[6,8,7,2,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[3,1,5,4,2,8,7,6]=>[6,8,4,5,7,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>[3,3,2]
[4,7,5,1,8,3,2,6]=>[5,2,4,8,1,6,7,3]=>[[1,3,4,7],[2,6],[5,8]]=>[2,3,3]
[8,3,6,4,2,1,7,5]=>[1,6,3,5,7,8,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[1,7,8,3,4,6,5,2]=>[8,2,1,6,5,3,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[2,7,8,6,1,4,5,3]=>[7,2,1,3,8,5,4,6]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[3,6,5,1,2,7,8,4]=>[6,3,4,8,7,2,1,5]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[8,5,1,4,2,7,6,3]=>[1,4,8,5,7,2,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[8,4,7,5,6,1,2,3]=>[1,5,2,4,3,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[5,8,6,3,4,7,1,2]=>[4,1,3,6,5,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,7,4,6,1,2,8,3]=>[4,2,5,3,8,7,1,6]=>[[1,3,5],[2,4,6],[7,8]]=>[2,2,3,1]
[7,5,2,1,4,6,3,8]=>[2,4,7,8,5,3,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>[6,2]
[7,5,2,4,1,6,3,8]=>[2,4,7,5,8,3,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[7,4,5,1,6,2,3,8]=>[2,5,4,8,3,7,6,1]=>[[1,2,4],[3,6],[5,7],[8]]=>[3,2,3]
[3,5,2,1,6,4,8,7]=>[6,4,7,8,3,5,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[8,2,5,4,7,1,3,6]=>[1,7,4,5,2,8,6,3]=>[[1,2,4,6],[3,7],[5,8]]=>[3,2,3]
[7,2,6,8,1,4,5,3]=>[2,7,3,1,8,5,4,6]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[7,3,2,1,5,6,8,4]=>[2,6,7,8,4,3,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[8,7,1,3,6,4,2,5]=>[1,2,8,6,3,5,7,4]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,3]
[7,2,4,8,3,1,6,5]=>[2,7,5,1,6,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[1,5,7,4,6,2,3,8]=>[8,4,2,5,3,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[2,3,7,4,6,1,5,8]=>[7,6,2,5,3,8,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>[3,2,3]
[7,4,6,1,5,8,3,2]=>[2,5,3,8,4,1,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[4,1,6,8,5,3,2,7]=>[5,8,3,1,4,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>[4,4]
[6,8,7,4,1,2,5,3]=>[3,1,2,5,8,7,4,6]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[5,3,6,4,8,1,7,2]=>[4,6,3,5,1,8,2,7]=>[[1,2,6],[3,4,8],[5,7]]=>[3,2,2,1]
[7,2,8,4,6,3,1,5]=>[2,7,1,5,3,6,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[1,5,7,3,4,6,2,8]=>[8,4,2,6,5,3,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[8,7,1,3,5,2,4,6]=>[1,2,8,6,4,7,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[8,4,2,5,7,6,1,3]=>[1,5,7,4,2,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>[5,3]
[8,4,7,5,3,1,2,6]=>[1,5,2,4,6,8,7,3]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[5,2,4,1,8,7,3,6]=>[4,7,5,8,1,2,6,3]=>[[1,2,4],[3,6,7],[5,8]]=>[3,2,3]
[4,3,5,7,8,1,6,2]=>[5,6,4,2,1,8,3,7]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[4,6,8,7,1,2,5,3]=>[5,3,1,2,8,7,4,6]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[3,1,7,6,8,4,5,2]=>[6,8,2,3,1,5,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>[3,2,2,1]
[8,3,2,4,5,1,7,6]=>[1,6,7,5,4,8,2,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[8,5,7,1,3,6,4,2]=>[1,4,2,8,6,3,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[7,2,1,5,8,6,4,3]=>[2,7,8,4,1,3,5,6]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[4,7,3,6,2,1,5,8]=>[5,2,6,3,7,8,4,1]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[5,8,6,1,3,7,4,2]=>[4,1,3,8,6,2,5,7]=>[[1,3,4,8],[2,5],[6,7]]=>[2,4,2]
[5,3,8,6,4,7,1,2]=>[4,6,1,3,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>[3,3,2]
[1,7,3,4,5,8,6,2]=>[8,2,6,5,4,1,3,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>[2,4,2]
[6,1,4,5,7,8,3,2]=>[3,8,5,4,2,1,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,2]
[2,6,4,8,5,1,3,7]=>[7,3,5,1,4,8,6,2]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[8,3,5,2,6,4,7,1]=>[1,6,4,7,3,5,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[1,3,8,6,7,4,2,5]=>[8,6,1,3,2,5,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[7,5,2,4,1,6,8,3]=>[2,4,7,5,8,3,1,6]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,3,1]
[3,6,2,1,8,4,5,7]=>[6,3,7,8,1,5,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>[2,3,3]
[5,1,3,7,4,2,8,6]=>[4,8,6,2,5,7,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[4,3,7,1,8,2,6,5]=>[5,6,2,8,1,7,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>[3,2,2,1]
[2,7,5,4,3,1,8,6]=>[7,2,4,5,6,8,1,3]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[8,3,6,7,1,2,5,4]=>[1,6,3,2,8,7,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>[4,3,1]
[5,6,3,1,4,7,8,2]=>[4,3,6,8,5,2,1,7]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[5,2,7,3,4,1,6,8]=>[4,7,2,6,5,8,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>[3,2,3]
[2,6,8,5,3,7,4,1]=>[7,3,1,4,6,2,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>[3,3,2]
[2,7,3,4,6,8,5,1]=>[7,2,6,5,3,1,4,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>[2,4,2]
[4,5,3,7,2,6,8,1]=>[5,4,6,2,7,3,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[1,3,8,7,2,6,5,4]=>[8,6,1,2,7,3,4,5]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[1,3,7,4,2,6,5,8]=>[8,6,2,5,7,3,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[1,3,7,5,8,4,2,6]=>[8,6,2,4,1,5,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[2,7,8,1,4,3,5,6]=>[7,2,1,8,5,6,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>[3,2,3]
[2,6,7,1,4,8,5,3]=>[7,3,2,8,5,1,4,6]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[5,4,6,3,2,8,1,7]=>[4,5,3,6,7,1,8,2]=>[[1,2,4,5,7],[3,8],[6]]=>[3,3,2]
[8,7,1,5,6,3,4,2]=>[1,2,8,4,3,6,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[7,4,2,5,3,1,8,6]=>[2,5,7,4,6,8,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[2,4,6,5,1,3,7,8]=>[7,5,3,4,8,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>[3,5]
[5,8,1,7,6,3,2,4]=>[4,1,8,2,3,6,7,5]=>[[1,3,5,6,7],[2,4],[8]]=>[2,2,4]
[1,6,8,3,5,7,4,2]=>[8,3,1,6,4,2,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[7,5,2,6,4,3,8,1]=>[2,4,7,3,5,6,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[5,6,8,1,4,7,2,3]=>[4,3,1,8,5,2,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>[3,3,2]
[1,4,8,6,5,3,2,7]=>[8,5,1,3,4,6,7,2]=>[[1,4,5,6,7],[2],[3],[8]]=>[3,5]
[1,5,8,4,6,3,2,7]=>[8,4,1,5,3,6,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[6,1,5,3,4,7,2,8]=>[3,8,4,6,5,2,7,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[7,6,1,8,4,3,5,2]=>[2,3,8,1,5,6,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[1,8,4,6,7,3,2,5]=>[8,1,5,3,2,6,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[8,2,7,1,5,6,4,3]=>[1,7,2,8,4,3,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[4,7,5,2,3,1,8,6]=>[5,2,4,7,6,8,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[8,5,4,3,2,1,9,7,6]=>[2,5,6,7,8,9,1,3,4]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,2]
[4,8,1,5,7,6,2,3]=>[5,1,8,4,2,3,7,6]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[7,6,1,8,5,3,4,2]=>[2,3,8,1,4,6,5,7]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[3,5,6,8,2,7,4,1]=>[6,4,3,1,7,2,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,2,2]
[5,6,7,1,8,2,4,3]=>[4,3,2,8,1,7,5,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[4,6,2,5,3,7,8,1]=>[5,3,7,4,6,2,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[7,6,1,5,3,2,4,8]=>[2,3,8,4,6,7,5,1]=>[[1,2,3,5,6],[4],[7],[8]]=>[4,4]
[6,7,8,2,1,3,5,4]=>[3,2,1,7,8,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>[3,4,1]
[6,2,3,4,5,7,8,9,1]=>[4,8,7,6,5,3,2,1,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[7,1,5,3,4,6,2,8]=>[2,8,4,6,5,3,7,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[5,4,8,1,2,6,3,7]=>[4,5,1,8,7,3,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[5,8,4,3,1,2,7,6]=>[4,1,5,6,8,7,2,3]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[8,3,6,7,4,2,5,1]=>[1,6,3,2,5,7,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[2,1,5,4,3,8,6,7]=>[7,8,4,5,6,1,3,2]=>[[1,2,5],[3,4],[6,7],[8]]=>[3,3,2]
[5,6,4,1,7,8,3,2]=>[4,3,5,8,2,1,6,7]=>[[1,3,4,8],[2,7],[5],[6]]=>[2,4,2]
[1,5,6,2,4,3,7,8]=>[8,4,3,7,5,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[2,7,3,6,8,1,4,5]=>[7,2,6,3,1,8,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>[2,3,3]
[5,4,3,8,6,1,7,2]=>[4,5,6,1,3,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,1,8,4,7,5,3,6]=>[7,8,1,5,2,4,6,3]=>[[1,2,6,7],[3,4],[5],[8]]=>[3,2,3]
[5,1,2,7,4,6,8,3]=>[4,8,7,2,5,3,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[6,1,2,5,7,3,4,8]=>[3,8,7,4,2,6,5,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>[5,3]
[6,4,3,1,7,5,2,8]=>[3,5,6,8,2,4,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[5,1,2,6,7,4,3,8]=>[4,8,7,3,2,5,6,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>[5,3]
[3,6,4,1,7,5,2,8]=>[6,3,5,8,2,4,7,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[6,5,3,1,7,4,2,8]=>[3,4,6,8,2,5,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>[5,3]
[3,7,2,6,4,8,5,1]=>[6,2,7,3,5,1,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[7,8,2,3,6,5,4,1]=>[2,1,7,6,3,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>[2,3,3]
[7,2,8,6,3,5,4,1]=>[2,7,1,3,6,4,5,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,8,7,5,2,4,3,6]=>[8,1,2,4,7,5,6,3]=>[[1,3,4,5,7],[2],[6],[8]]=>[2,4,2]
[6,1,5,4,8,3,7,2]=>[3,8,4,5,1,6,2,7]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[8,3,6,4,2,5,1,7]=>[1,6,3,5,7,4,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>[3,3,2]
[8,3,4,2,6,5,1,7]=>[1,6,5,7,3,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,5,6,8,7,1,3,2]=>[5,4,3,1,2,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,1,4,2,3,6,5,8]=>[2,8,5,7,6,3,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[5,2,7,8,3,4,1,6]=>[4,7,2,1,6,5,8,3]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[3,6,2,8,1,7,5,4]=>[6,3,7,1,8,2,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,6,7,4,3,5,1,8]=>[7,3,2,5,6,4,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[3,7,4,6,2,5,1,8]=>[6,2,5,3,7,4,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[2,4,3,7,6,1,5,8]=>[7,5,6,2,3,8,4,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[8,4,1,3,5,2,7,6]=>[1,5,8,6,4,7,2,3]=>[[1,2,3,6],[4,8],[5],[7]]=>[5,2,1]
[5,1,2,8,7,3,4,6]=>[4,8,7,1,2,6,5,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[6,5,2,7,8,3,1,4]=>[3,4,7,2,1,6,8,5]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[5,8,1,4,6,7,3,2]=>[4,1,8,5,3,2,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[3,1,5,7,4,6,2,8]=>[6,8,4,2,5,3,7,1]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[2,5,1,8,3,6,7,4]=>[7,4,8,1,6,3,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>[2,2,3,1]
[2,3,7,1,4,6,5,8]=>[7,6,2,8,5,3,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>[3,3,2]
[5,1,8,6,2,3,7,4]=>[4,8,1,3,7,6,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[4,1,5,6,3,7,2,8]=>[5,8,4,3,6,2,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[3,5,4,1,6,8,2,7]=>[6,4,5,8,3,1,7,2]=>[[1,3,4],[2,7],[5,8],[6]]=>[2,4,2]
[7,2,6,5,8,1,4,3]=>[2,7,3,4,1,8,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>[3,2,2,1]
[1,7,4,6,3,2,5,8]=>[8,2,5,3,6,7,4,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[1,6,2,7,3,5,8,4]=>[8,3,7,2,6,4,1,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>[2,2,3,1]
[1,5,7,4,3,2,6,8]=>[8,4,2,5,6,7,3,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[8,1,4,7,6,3,5,2]=>[1,8,5,2,3,6,4,7]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[8,5,7,4,2,3,6,1]=>[1,4,2,5,7,6,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>[3,4,1]
[1,7,6,3,2,8,5,4]=>[8,2,3,6,7,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[2,4,2]
[3,6,4,5,7,8,1,2]=>[6,3,5,4,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>[2,4,2]
[8,2,3,7,6,4,1,5]=>[1,7,6,2,3,5,8,4]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[2,5,4,7,1,6,3,8]=>[7,4,5,2,8,3,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>[2,2,2,2]
[3,7,1,8,4,2,6,5]=>[6,2,8,1,5,7,3,4]=>[[1,3,6],[2,5,8],[4,7]]=>[2,2,3,1]
[8,1,5,3,2,7,6,4]=>[1,8,4,6,7,2,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[4,7,1,6,3,8,5,2]=>[5,2,8,3,6,1,4,7]=>[[1,3,5,8],[2,4],[6,7]]=>[2,2,2,2]
[2,6,8,7,4,1,5,3]=>[7,3,1,2,5,8,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[3,5,2,4,1,6,8,7]=>[6,4,7,5,8,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>[2,2,3,1]
[4,3,8,1,7,6,2,5]=>[5,6,1,8,2,3,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[6,7,2,1,3,5,8,4]=>[3,2,7,8,6,4,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[4,6,3,1,8,5,2,7]=>[5,3,6,8,1,4,7,2]=>[[1,3,4],[2,6,7],[5,8]]=>[2,3,3]
[5,3,4,6,2,1,8,7]=>[4,6,5,3,7,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[6,1,5,4,3,2,7,8]=>[3,8,4,5,6,7,2,1]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[3,7,6,4,5,2,1,8]=>[6,2,3,5,4,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[3,8,7,5,1,4,6,2]=>[6,1,2,4,8,5,3,7]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[4,8,6,3,2,5,7,1]=>[5,1,3,6,7,4,2,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[2,5,8,7,3,4,1,6]=>[7,4,1,2,6,5,8,3]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[4,8,3,1,2,7,5,6]=>[5,1,6,8,7,2,4,3]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[4,6,7,3,1,2,5,8]=>[5,3,2,6,8,7,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[1,7,4,2,5,6,3,8]=>[8,2,5,7,4,3,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>[2,4,2]
[8,3,4,6,7,5,2,1]=>[1,6,5,3,2,4,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[8,5,2,4,6,7,1,3]=>[1,4,7,5,3,2,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,2]
[8,1,2,5,4,6,7,3]=>[1,8,7,4,5,3,2,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[8,2,5,3,1,4,6,7]=>[1,7,4,6,8,5,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>[3,5]
[5,7,3,2,4,8,1,6]=>[4,2,6,7,5,1,8,3]=>[[1,3,4,7],[2,5],[6,8]]=>[2,4,2]
[8,2,1,6,3,4,7,5]=>[1,7,8,3,6,5,2,4]=>[[1,2,3],[4,5],[6,8],[7]]=>[4,3,1]
[8,4,5,7,6,3,1,2]=>[1,5,4,2,3,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[2,4,5,6,7,1,8,3,9]=>[8,6,5,4,3,9,2,7,1]=>[[1,6],[2,8],[3],[4],[5],[7],[9]]=>[5,2,2]
[5,4,8,6,2,1,7,3]=>[4,5,1,3,7,8,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>[3,4,1]
[2,6,3,4,1,7,5,8]=>[7,3,6,5,8,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[6,5,4,1,3,7,2,8]=>[3,4,5,8,6,2,7,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[7,1,2,8,5,3,6,4]=>[2,8,7,1,4,6,3,5]=>[[1,2,6],[3,5,8],[4],[7]]=>[4,3,1]
[1,6,8,7,3,2,5,4]=>[8,3,1,2,6,7,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>[3,4,1]
[7,5,2,1,4,8,6,3]=>[2,4,7,8,5,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,6,1,3,7,5,4,2]=>[1,3,8,6,2,4,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[8,7,1,6,5,3,4,2]=>[1,2,8,3,4,6,5,7]=>[[1,2,3,5,6,8],[4],[7]]=>[4,3,1]
[8,3,1,6,5,7,2,4]=>[1,6,8,3,4,2,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[4,1,7,5,6,3,8,2]=>[5,8,2,4,3,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[1,7,8,6,2,5,3,4]=>[8,2,1,3,7,4,6,5]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[5,6,8,1,7,2,4,3]=>[4,3,1,8,2,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>[3,2,2,1]
[4,6,5,1,3,7,2,8]=>[5,3,4,8,6,2,7,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[4,8,5,1,7,3,6,2]=>[5,1,4,8,2,6,3,7]=>[[1,3,4,8],[2,6],[5,7]]=>[2,3,2,1]
[4,6,5,7,2,8,3,1]=>[5,3,4,2,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[2,8,7,4,5,3,6,1]=>[7,1,2,5,4,6,3,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[6,3,4,2,1,7,5,8]=>[3,6,5,7,8,2,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[8,3,1,4,5,6,2,7]=>[1,6,8,5,4,3,7,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,6,7,3,1,5,2,4]=>[1,3,2,6,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[5,6,8,3,7,4,1,2]=>[4,3,1,6,2,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,3]
[7,1,6,8,4,5,2,3]=>[2,8,3,1,5,4,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[6,1,3,8,2,4,7,5]=>[3,8,6,1,7,5,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[2,3,5,6,1,8,7,4]=>[7,6,4,3,8,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>[4,2,2]
[1,7,3,6,2,5,8,4]=>[8,2,6,3,7,4,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>[2,2,3,1]
[1,4,8,7,5,6,2,3]=>[8,5,1,2,4,3,7,6]=>[[1,4,5,7],[2,8],[3],[6]]=>[3,3,2]
[5,3,1,4,8,7,6,2]=>[4,6,8,5,1,2,3,7]=>[[1,2,3,8],[4,6,7],[5]]=>[5,3]
[2,4,7,6,1,5,3,8]=>[7,5,2,3,8,4,6,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[8,6,7,3,1,2,5,4]=>[1,3,2,6,8,7,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[6,7,3,5,2,1,4,8]=>[3,2,6,4,7,8,5,1]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[6,3,4,2,8,5,7,1]=>[3,6,5,7,1,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[5,8,6,3,1,4,7,2]=>[4,1,3,6,8,5,2,7]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[5,7,4,6,2,1,3,8]=>[4,2,5,3,7,8,6,1]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[8,5,7,1,4,6,2,3]=>[1,4,2,8,5,3,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[6,1,2,5,3,4,8,7]=>[3,8,7,4,6,5,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>[4,3,1]
[2,4,7,6,3,1,5,8]=>[7,5,2,3,6,8,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[1,3,5,8,7,4,6,2]=>[8,6,4,1,2,5,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[3,7,2,6,4,5,8,1]=>[6,2,7,3,5,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>[2,2,3,1]
[5,2,3,6,8,1,7,4]=>[4,7,6,3,1,8,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[4,2,3,7,5,1,8,6]=>[5,7,6,2,4,8,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[8,5,3,7,1,4,6,2]=>[1,4,6,2,8,5,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>[4,3,1]
[8,3,2,1,6,7,5,4]=>[1,6,7,8,3,2,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[8,7,2,1,5,6,4,3]=>[1,2,7,8,4,3,5,6]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[5,7,6,3,1,4,2,8]=>[4,2,3,6,8,5,7,1]=>[[1,3,4,5],[2,6,7],[8]]=>[2,4,2]
[7,1,8,4,6,2,5,3]=>[2,8,1,5,3,7,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[6,5,1,7,4,8,2,3]=>[3,4,8,2,5,1,7,6]=>[[1,2,3,7],[4,5],[6,8]]=>[4,2,2]
[5,8,4,6,3,1,2,7]=>[4,1,5,3,6,8,7,2]=>[[1,3,5,6],[2,4,7],[8]]=>[2,2,4]
[2,8,1,5,4,6,3,7]=>[7,1,8,4,5,3,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>[2,2,2,2]
[5,6,7,2,4,8,1,3]=>[4,3,2,7,5,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>[3,3,2]
[5,2,8,7,4,3,6,1]=>[4,7,1,2,5,6,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[1,5,8,6,4,7,3,2]=>[8,4,1,3,5,2,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>[3,3,2]
[5,4,8,7,3,1,6,2]=>[4,5,1,2,6,8,3,7]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,1]
[6,1,3,2,4,8,5,7]=>[3,8,6,7,5,1,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[3,4,5,8,7,1,6,2]=>[6,5,4,1,2,8,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[1,7,2,6,8,4,3,5]=>[8,2,7,3,1,5,6,4]=>[[1,3,6,7],[2,8],[4],[5]]=>[2,3,3]
[5,8,7,1,3,2,6,4]=>[4,1,2,8,6,7,3,5]=>[[1,3,4,6],[2,5,8],[7]]=>[2,3,2,1]
[3,8,5,4,7,1,6,2]=>[6,1,4,5,2,8,3,7]=>[[1,3,4,6],[2,7,8],[5]]=>[2,3,2,1]
[3,4,7,5,1,2,8,6]=>[6,5,2,4,8,7,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[7,4,6,5,3,1,2,8]=>[2,5,3,4,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>[3,5]
[1,8,2,5,4,3,7,6]=>[8,1,7,4,5,6,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[4,7,1,5,6,8,3,2]=>[5,2,8,4,3,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[8,3,5,6,7,4,2,1]=>[1,6,4,3,2,5,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,3]
[4,8,5,2,1,6,3,7]=>[5,1,4,7,8,3,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[8,7,2,3,1,5,4,6]=>[1,2,7,6,8,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[3,5,4,6,7,1,2,8]=>[6,4,5,3,2,8,7,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[5,4,6,8,1,7,3,2]=>[4,5,3,1,8,2,6,7]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[8,1,3,6,4,5,7,2]=>[1,8,6,3,5,4,2,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,3,1]
[6,3,5,7,4,2,1,8]=>[3,6,4,2,5,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>[4,4]
[8,1,4,3,7,6,2,5]=>[1,8,5,6,2,3,7,4]=>[[1,2,4,7],[3,6,8],[5]]=>[3,2,3]
[3,8,7,5,2,4,6,1]=>[6,1,2,4,7,5,3,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[2,7,6,4,3,1,5,8]=>[7,2,3,5,6,8,4,1]=>[[1,3,4,5,6],[2],[7],[8]]=>[2,6]
[6,1,7,2,4,5,3,8]=>[3,8,2,7,5,4,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[8,4,1,7,5,6,3,2]=>[1,5,8,2,4,3,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[6,5,4,1,8,3,2,7]=>[3,4,5,8,1,6,7,2]=>[[1,2,3,4,7],[5,6],[8]]=>[5,3]
[5,2,8,1,3,6,4,7]=>[4,7,1,8,6,3,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>[3,3,2]
[2,7,1,4,3,5,6,8]=>[7,2,8,5,6,4,3,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>[2,2,4]
[6,1,4,3,7,2,5,8]=>[3,8,5,6,2,7,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[5,8,7,4,2,3,6,1]=>[4,1,2,5,7,6,3,8]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[8,2,3,7,5,1,4,6]=>[1,7,6,2,4,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,4]
[8,6,3,4,2,7,5,1]=>[1,3,6,5,7,2,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[6,5,4,3,1,9,8,7,2]=>[4,5,6,7,9,1,2,3,8]=>[[1,2,3,4,5],[6,7,8,9]]=>[6,3]
[6,1,3,2,4,7,5,8]=>[3,8,6,7,5,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>[3,3,2]
[8,2,4,7,3,5,1,6]=>[1,7,5,2,6,4,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[1,5,6,2,7,4,3,8]=>[8,4,3,7,2,5,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>[3,2,3]
[8,7,6,5,2,1,9,4,3]=>[2,3,4,5,8,9,1,6,7]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,2]
[4,2,3,8,7,6,1,5]=>[5,7,6,1,2,3,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,2,3,7,1,6,8,5]=>[5,7,6,2,8,3,1,4]=>[[1,2,5],[3,6,8],[4],[7]]=>[4,3,1]
[6,2,1,3,5,7,4,8]=>[3,7,8,6,4,2,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>[6,2]
[8,5,2,7,6,4,3,1]=>[1,4,7,2,3,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>[4,4]
[7,1,4,3,6,5,2,8]=>[2,8,5,6,3,4,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[5,2,8,3,1,6,4,7]=>[4,7,1,6,8,3,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[5,3,1,8,4,2,7,6]=>[4,6,8,1,5,7,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>[4,3,1]
[2,7,1,3,5,8,6,4]=>[7,2,8,6,4,1,3,5]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[8,5,2,4,1,7,6,3]=>[1,4,7,5,8,2,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>[4,2,2]
[4,5,8,6,3,1,2,7]=>[5,4,1,3,6,8,7,2]=>[[1,4,5,6],[2,7],[3],[8]]=>[3,5]
[3,6,5,1,2,8,7,4]=>[6,3,4,8,7,1,2,5]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[2,7,4,5,1,6,3,8]=>[7,2,5,4,8,3,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[5,8,6,3,2,7,4,1]=>[4,1,3,6,7,2,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[5,8,7,3,4,2,1,6]=>[4,1,2,6,5,7,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[3,5,8,7,4,2,1,6]=>[6,4,1,2,5,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[3,1,6,5,4,7,8,2]=>[6,8,3,4,5,2,1,7]=>[[1,2,5,8],[3,4],[6],[7]]=>[3,4,1]
[7,1,9,6,5,4,3,2,8]=>[3,9,1,4,5,6,7,8,2]=>[[1,2,5,6,7,8],[3,4],[9]]=>[3,6]
[8,1,10,7,6,5,4,3,2,9]=>[3,10,1,4,5,6,7,8,9,2]=>[[1,2,5,6,7,8,9],[3,4],[10]]=>[3,7]
[6,4,8,5,7,3,2,1]=>[3,5,1,4,2,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[7,6,3,8,4,1,5,2]=>[2,3,6,1,5,8,4,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[2,5,1,6,8,7,3,4]=>[7,4,8,3,1,2,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>[2,3,3]
[5,8,2,3,4,1,7,6]=>[4,1,7,6,5,8,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>[2,3,2,1]
[5,3,8,6,7,1,2,4]=>[4,6,1,3,2,8,7,5]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[2,3,5,7,4,1,6,8]=>[7,6,4,2,5,8,3,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[4,2,3,7,1,6,5,8]=>[5,7,6,2,8,3,4,1]=>[[1,2,5],[3,6,7],[4],[8]]=>[4,2,2]
[3,5,2,1,7,6,4,8]=>[6,4,7,8,2,3,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[2,5,3,7,6,1,4,8]=>[7,4,6,2,3,8,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>[2,2,4]
[8,3,5,6,2,7,4,1]=>[1,6,4,3,7,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[7,3,5,8,2,6,4,1]=>[2,6,4,1,7,3,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[8,2,3,6,1,5,4,7]=>[1,7,6,3,8,4,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[6,3,7,4,2,5,1,8]=>[3,6,2,5,7,4,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[2,3,1,4,5,6,7,8,10,9]=>[9,8,10,7,6,5,4,3,1,2]=>[[1,3],[2,10],[4],[5],[6],[7],[8],[9]]=>[2,7,1]
[4,1,7,6,5,3,8,2]=>[5,8,2,3,4,6,1,7]=>[[1,2,5,6,8],[3,4],[7]]=>[3,4,1]
[3,5,4,1,7,6,8,2]=>[6,4,5,8,2,3,1,7]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[6,1,2,8,5,7,4,3]=>[3,8,7,1,4,2,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[6,1,7,2,5,4,8,3]=>[3,8,2,7,4,5,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[8,3,7,1,2,6,5,4]=>[1,6,2,8,7,3,4,5]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[4,7,8,6,1,2,3,5]=>[5,2,1,3,8,7,6,4]=>[[1,4,5],[2,6],[3,7],[8]]=>[3,5]
[5,6,1,8,4,7,3,2]=>[4,3,8,1,5,2,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>[2,2,2,2]
[3,2,7,1,6,5,4,8]=>[6,7,2,8,3,4,5,1]=>[[1,2,4,7],[3,5,6],[8]]=>[3,2,3]
[8,2,3,6,1,7,5,4]=>[1,7,6,3,8,2,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[5,6,2,1,7,4,8,3]=>[4,3,7,8,2,5,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>[2,3,2,1]
[8,3,4,7,5,2,6,1]=>[1,6,5,2,4,7,3,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[8,1,2,7,5,3,6,4]=>[1,8,7,2,4,6,3,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[8,6,2,7,5,3,4,1]=>[1,3,7,2,4,6,5,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[8,7,3,4,6,1,5,2]=>[1,2,6,5,3,8,4,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[5,6,1,4,8,2,3,7]=>[4,3,8,5,1,7,6,2]=>[[1,3,6],[2,4],[5,7],[8]]=>[2,3,3]
[4,6,8,7,5,1,3,2]=>[5,3,1,2,4,8,6,7]=>[[1,4,5,6,8],[2,7],[3]]=>[3,4,1]
[3,8,6,1,2,4,7,5]=>[6,1,3,8,7,5,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[8,5,1,6,7,3,4,2]=>[1,4,8,3,2,6,5,7]=>[[1,2,3,8],[4,6],[5,7]]=>[5,2,1]
[5,2,8,6,7,4,3,1]=>[4,7,1,3,2,5,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>[3,2,3]
[7,3,4,5,1,8,2,6]=>[2,6,5,4,8,1,7,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[4,2,6,5,3,7,1,8]=>[5,7,3,4,6,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[2,8,6,7,3,1,5,4]=>[7,1,3,2,6,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>[2,2,3,1]
[8,7,6,5,2,1,3,4,9]=>[2,3,4,5,8,9,7,6,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9]
[3,8,2,6,1,7,5,4]=>[6,1,7,3,8,2,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[3,1,4,7,5,6,8,2]=>[6,8,5,2,4,3,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>[4,3,1]
[4,5,6,7,8,3,9,2,1]=>[6,5,4,3,2,7,1,8,9]=>[[1,6,8,9],[2],[3],[4],[5],[7]]=>[5,2,2]
[5,6,7,8,4,9,3,2,1]=>[5,4,3,2,6,1,7,8,9]=>[[1,5,7,8,9],[2],[3],[4],[6]]=>[4,2,3]
[6,7,8,5,9,4,3,2,1]=>[4,3,2,5,1,6,7,8,9]=>[[1,4,6,7,8,9],[2],[3],[5]]=>[3,2,4]
[7,1,6,2,4,3,5,8]=>[2,8,3,7,5,6,4,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>[3,2,3]
[8,3,6,1,7,2,5,4]=>[1,6,3,8,2,7,4,5]=>[[1,2,4,8],[3,6],[5,7]]=>[3,2,2,1]
[6,7,1,4,5,2,3,8]=>[3,2,8,5,4,7,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>[2,3,3]
[7,8,1,2,6,4,5,3]=>[2,1,8,7,3,5,4,6]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[2,3,7,5,8,4,1,6]=>[7,6,2,4,1,5,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>[3,2,3]
[2,7,1,4,8,6,3,5]=>[7,2,8,5,1,3,6,4]=>[[1,3,7],[2,4,8],[5,6]]=>[2,3,3]
[7,2,8,3,1,5,4,6]=>[2,7,1,6,8,4,5,3]=>[[1,2,5],[3,4,7],[6],[8]]=>[3,3,2]
[5,2,8,4,7,3,6,1]=>[4,7,1,5,2,6,3,8]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[4,6,8,5,2,3,7,1]=>[5,3,1,4,7,6,2,8]=>[[1,4,5,8],[2,6],[3,7]]=>[3,4,1]
[5,6,8,7,3,4,2,1]=>[4,3,1,2,6,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>[3,3,2]
[7,1,5,3,2,8,4,6]=>[2,8,4,6,7,1,5,3]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[6,1,4,8,5,7,3,2]=>[3,8,5,1,4,2,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[5,2,7,6,4,8,3,1]=>[4,7,2,3,5,1,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[1,8,3,5,2,4,7,6]=>[8,1,6,4,7,5,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[7,6,5,4,3,1,9,8,2]=>[3,4,5,6,7,9,1,2,8]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,2]
[5,2,8,6,7,3,1,4]=>[4,7,1,3,2,6,8,5]=>[[1,2,6,7],[3,4],[5,8]]=>[3,2,3]
[3,1,4,7,8,6,5,2]=>[6,8,5,2,1,3,4,7]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,3]
[8,2,5,4,3,1,6,7]=>[1,7,4,5,6,8,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[6,5,7,1,4,8,3,2]=>[3,4,2,8,5,1,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[1,7,2,3,6,5,4,8]=>[8,2,7,6,3,4,5,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[1,7,6,2,5,4,3,8]=>[8,2,3,7,4,5,6,1]=>[[1,3,4,6,7],[2],[5],[8]]=>[2,3,3]
[1,8,2,6,5,4,7,3]=>[8,1,7,3,4,5,2,6]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>[2,4,2]
[5,9,4,3,2,1,8,7,6]=>[5,1,6,7,8,9,2,3,4]=>[[1,3,4,5,6],[2,7,8,9]]=>[2,5,2]
[6,1,5,7,3,2,8,4]=>[3,8,4,2,6,7,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[7,8,4,2,3,6,1,5]=>[2,1,5,7,6,3,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,3,4,7,2,1,8,6]=>[4,6,5,2,7,8,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[3,5,6,7,2,1,4,8]=>[6,4,3,2,7,8,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>[4,4]
[6,1,8,2,5,7,3,4]=>[3,8,1,7,4,2,6,5]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[5,8,3,6,2,7,4,1]=>[4,1,6,3,7,2,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>[2,2,2,2]
[2,5,8,3,7,4,1,6]=>[7,4,1,6,2,5,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>[3,2,3]
[6,10,9,8,5,4,3,2,1,7]=>[5,1,2,3,6,7,8,9,10,4]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[5,10,9,8,7,4,3,2,1,6]=>[6,1,2,3,4,7,8,9,10,5]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[4,10,9,8,7,6,3,2,1,5]=>[7,1,2,3,4,5,8,9,10,6]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[4,2,6,8,7,5,1,3]=>[5,7,3,1,2,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[4,5,7,2,1,3,8,6]=>[5,4,2,7,8,6,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>[3,4,1]
[8,5,1,7,4,3,2,6]=>[1,4,8,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[7,6,5,4,3,1,10,9,8,2]=>[4,5,6,7,8,10,1,2,3,9]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[7,1,2,4,8,3,6,5]=>[2,8,7,5,1,6,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,2,1]
[7,3,5,1,2,6,8,4]=>[2,6,4,8,7,3,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>[3,4,1]
[6,2,1,7,4,5,8,3]=>[3,7,8,2,5,4,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>[4,3,1]
[7,4,5,1,3,2,6,8]=>[2,5,4,8,6,7,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,1,2,4,5,8,3,6]=>[2,8,7,5,4,1,6,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,2]
[7,6,5,9,8,4,3,2,1]=>[3,4,5,1,2,6,7,8,9]=>[[1,2,3,6,7,8,9],[4,5]]=>[4,5]
[3,1,8,7,2,6,5,4]=>[6,8,1,2,7,3,4,5]=>[[1,2,5,7,8],[3,4],[6]]=>[3,3,2]
[6,3,4,8,5,7,2,1]=>[3,6,5,1,4,2,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[6,2,4,3,7,8,1,5]=>[3,7,5,6,2,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>[3,3,2]
[6,8,1,7,5,3,4,2]=>[3,1,8,2,4,6,5,7]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[5,8,6,4,1,7,3,2]=>[4,1,3,5,8,2,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>[2,4,2]
[8,2,7,5,1,4,3,6]=>[1,7,2,4,8,5,6,3]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[7,6,4,5,1,3,2,8]=>[2,3,5,4,8,6,7,1]=>[[1,2,3,5,7],[4,6],[8]]=>[4,2,2]
[7,6,4,1,3,5,2,8]=>[2,3,5,8,6,4,7,1]=>[[1,2,3,4,7],[5],[6],[8]]=>[6,2]
[2,3,5,1,6,8,7,4]=>[7,6,4,8,3,1,2,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[8,7,5,1,3,6,4,2]=>[1,2,4,8,6,3,5,7]=>[[1,2,3,4,8],[5,7],[6]]=>[6,2]
[8,4,3,6,7,1,5,2]=>[1,5,6,3,2,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>[5,2,1]
[8,4,6,7,2,1,5,3]=>[1,5,3,2,7,8,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,1]
[10,8,7,9,6,5,4,3,2,1]=>[1,3,4,2,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,6]
[8,2,4,1,5,3,6,7]=>[1,7,5,8,4,6,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[3,7,2,8,1,6,5,4]=>[6,2,7,1,8,3,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>[2,2,2,2]
[2,6,7,1,8,3,5,4]=>[7,3,2,8,1,6,4,5]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[5,2,3,1,7,4,6,8]=>[4,7,6,8,2,5,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[5,1,8,7,3,2,4,6]=>[4,8,1,2,6,7,5,3]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[4,8,5,3,2,1,7,6]=>[5,1,4,6,7,8,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>[2,5,1]
[5,8,3,4,7,2,6,1]=>[4,1,6,5,2,7,3,8]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[9,10,8,7,6,4,3,2,1,5]=>[2,1,3,4,5,7,8,9,10,6]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[7,6,2,4,1,5,3,8]=>[2,3,7,5,8,4,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[2,8,7,5,4,3,6,1]=>[7,1,2,4,5,6,3,8]=>[[1,3,4,5,6,8],[2],[7]]=>[2,5,1]
[6,1,2,7,5,3,4,8]=>[3,8,7,2,4,6,5,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>[4,4]
[5,6,1,8,3,4,2,7]=>[4,3,8,1,6,5,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>[2,2,2,2]
[7,8,3,2,6,5,1,4]=>[2,1,6,7,3,4,8,5]=>[[1,3,4,7],[2,5,6,8]]=>[2,3,3]
[4,7,2,3,1,6,5,8]=>[5,2,7,6,8,3,4,1]=>[[1,3,5],[2,4,7],[6],[8]]=>[2,2,2,2]
[2,9,8,7,6,5,4,1,10,3]=>[9,2,3,4,5,6,7,10,1,8]=>[[1,3,4,5,6,7,8],[2,10],[9]]=>[2,7,1]
[3,1,7,4,6,5,8,2]=>[6,8,2,5,3,4,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>[3,2,2,1]
[7,4,2,6,5,1,8,3]=>[2,5,7,3,4,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[7,8,2,1,6,4,5,3]=>[2,1,7,8,3,5,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>[2,3,2,1]
[4,1,7,6,5,2,3,8]=>[5,8,2,3,4,7,6,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[8,7,6,2,4,1,5,3]=>[1,2,3,7,5,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[5,4,8,3,1,6,2,7]=>[4,5,1,6,8,3,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>[3,3,2]
[4,3,7,2,1,6,8,5]=>[5,6,2,7,8,3,1,4]=>[[1,2,4,5],[3,6,8],[7]]=>[3,4,1]
[5,7,4,3,2,1,6,8]=>[4,2,5,6,7,8,3,1]=>[[1,3,4,5,6],[2,7],[8]]=>[2,6]
[1,7,8,3,2,6,4,5]=>[8,2,1,6,7,3,5,4]=>[[1,4,5],[2,6,7],[3],[8]]=>[3,3,2]
[1,3,6,7,4,5,2,8]=>[8,6,3,2,5,4,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>[4,2,2]
[10,1,2,3,5,6,7,8,9,4]=>[1,10,9,8,6,5,4,3,2,7]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[2,3,6,8,5,4,1,7]=>[7,6,3,1,4,5,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,4]
[7,4,2,3,6,1,5,8]=>[2,5,7,6,3,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[2,7,8,4,6,1,5,3]=>[7,2,1,5,3,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,2,1]
[7,5,2,6,4,8,3,1]=>[2,4,7,3,5,1,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[7,8,6,5,2,4,1,3]=>[2,1,3,4,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>[2,4,2]
[1,3,7,2,4,6,8,5]=>[8,6,2,7,5,3,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>[3,4,1]
[4,1,3,6,8,7,2,5]=>[5,8,6,3,1,2,7,4]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[1,8,7,4,6,5,2,3]=>[8,1,2,5,3,4,7,6]=>[[1,3,4,6,7],[2,8],[5]]=>[2,3,3]
[2,8,6,7,3,4,1,5]=>[7,1,3,2,6,5,8,4]=>[[1,3,5,7],[2,6],[4],[8]]=>[2,2,2,2]
[8,2,5,7,4,6,3,1]=>[1,7,4,2,5,3,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[6,1,4,7,3,5,2,8]=>[3,8,5,2,6,4,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,2]
[7,1,6,8,3,5,2,4]=>[2,8,3,1,6,4,7,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[1,8,7,2,4,6,5,3]=>[8,1,2,7,5,3,4,6]=>[[1,3,4,7,8],[2],[5],[6]]=>[2,4,2]
[8,1,6,5,4,7,3,2]=>[1,8,3,4,5,2,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>[3,3,2]
[8,5,7,2,3,4,1,6]=>[1,4,2,7,6,5,8,3]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[4,6,1,5,7,8,3,2]=>[5,3,8,4,2,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[5,3,4,8,6,2,1,7]=>[4,6,5,1,3,7,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[4,1,7,3,5,6,2,8]=>[5,8,2,6,4,3,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[2,6,3,7,1,5,8,4]=>[7,3,6,2,8,4,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>[2,2,3,1]
[6,1,7,5,4,2,3,8]=>[3,8,2,4,5,7,6,1]=>[[1,2,5,6],[3,4],[7],[8]]=>[3,5]
[9,1,2,4,5,6,7,8,3]=>[1,9,8,6,5,4,3,2,7]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[9,1,2,3,5,6,7,8,4]=>[1,9,8,7,5,4,3,2,6]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,1]
[10,1,2,4,5,6,7,8,9,3]=>[1,10,9,7,6,5,4,3,2,8]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,1]
[7,5,4,8,6,2,3,1]=>[2,4,5,1,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[4,3,1]
[9,10,8,7,6,5,4,2,1,3]=>[2,1,3,4,5,6,7,9,10,8]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,8]
[6,8,2,5,4,3,7,1]=>[3,1,7,4,5,6,2,8]=>[[1,3,5,6,8],[2,4],[7]]=>[2,2,3,1]
[2,5,6,8,3,7,1,4]=>[7,4,3,1,6,2,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,2,2]
[6,7,5,4,1,3,8,2]=>[3,2,4,5,8,6,1,7]=>[[1,3,4,5,8],[2,6],[7]]=>[2,5,1]
[4,2,7,8,3,1,5,6]=>[5,7,2,1,6,8,4,3]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[2,8,7,6,5,4,1,9,3]=>[8,2,3,4,5,6,9,1,7]=>[[1,3,4,5,6,7],[2,9],[8]]=>[2,6,1]
[8,2,6,5,4,1,7,3]=>[1,7,3,4,5,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[7,4,6,5,3,1,8,2]=>[2,5,3,4,6,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[8,2,1,3,7,5,6,4]=>[1,7,8,6,2,4,3,5]=>[[1,2,3,8],[4,6],[5],[7]]=>[5,2,1]
[6,1,4,3,5,7,2,8]=>[3,8,5,6,4,2,7,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>[3,3,2]
[2,8,4,7,5,1,6,3]=>[7,1,5,2,4,8,3,6]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[8,6,7,2,4,3,1,5]=>[1,3,2,7,5,6,8,4]=>[[1,2,4,6,7],[3,5],[8]]=>[3,2,3]
[4,8,6,1,2,7,3,5]=>[5,1,3,8,7,2,6,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[1,7,8,5,2,3,6,4]=>[8,2,1,4,7,6,3,5]=>[[1,4,5],[2,6,8],[3],[7]]=>[3,4,1]
[6,9,5,4,3,2,1,8,7]=>[4,1,5,6,7,8,9,2,3]=>[[1,3,4,5,6,7],[2,8,9]]=>[2,6,1]
[8,6,7,3,2,5,1,4]=>[1,3,2,6,7,4,8,5]=>[[1,2,4,5,7],[3,6,8]]=>[3,3,2]
[2,1,8,3,4,6,5,7]=>[7,8,1,6,5,3,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[5,8,2,1,3,6,7,4]=>[4,1,7,8,6,3,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>[2,5,1]
[3,8,4,2,1,5,7,6]=>[6,1,5,7,8,4,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>[2,5,1]
[2,1,6,7,5,3,4,8]=>[7,8,3,2,4,6,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>[4,4]
[1,5,6,4,2,7,3,8]=>[8,4,3,5,7,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[5,3,7,4,8,1,2,6]=>[4,6,2,5,1,8,7,3]=>[[1,2,6],[3,4,7],[5,8]]=>[3,2,3]
[7,2,3,5,1,8,4,6]=>[2,7,6,4,8,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>[4,2,2]
[2,4,8,3,6,7,5,1]=>[7,5,1,6,3,2,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>[3,3,2]
[3,1,2,6,5,7,4,8]=>[6,8,7,3,4,2,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>[4,2,2]
[3,7,4,6,5,1,8,2]=>[6,2,5,3,4,8,1,7]=>[[1,3,5,6],[2,8],[4],[7]]=>[2,2,3,1]
[6,4,5,2,1,7,3,8]=>[3,5,4,7,8,2,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>[3,3,2]
[6,7,2,1,3,5,4,8]=>[3,2,7,8,6,4,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>[2,4,2]
[8,4,2,3,1,7,5,6]=>[1,5,7,6,8,2,4,3]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,2]
[4,7,5,1,3,2,6,8]=>[5,2,4,8,6,7,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>[2,3,3]
[8,7,5,3,1,9,6,4,2]=>[2,3,5,7,9,1,4,6,8]=>[[1,2,3,4,5],[6,7,8,9]]=>[6,3]
[9,8,6,4,2,10,7,5,3,1]=>[2,3,5,7,9,1,4,6,8,10]=>[[1,2,3,4,5,10],[6,7,8,9]]=>[6,4]
[8,4,5,7,1,6,2,3]=>[1,5,4,2,8,3,7,6]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2]
[1,8,7,3,4,6,2,5]=>[8,1,2,6,5,3,7,4]=>[[1,3,4,7],[2,8],[5],[6]]=>[2,4,2]
[2,8,4,7,5,3,6,1]=>[7,1,5,2,4,6,3,8]=>[[1,3,5,6,8],[2],[4],[7]]=>[2,2,3,1]
[1,3,6,4,7,8,5,2]=>[8,6,3,5,2,1,4,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>[3,3,2]
[8,3,7,5,2,4,1,6]=>[1,6,2,4,7,5,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>[3,3,2]
[5,8,3,7,2,4,6,1]=>[4,1,6,2,7,5,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>[2,2,3,1]
[3,7,2,5,6,8,4,1]=>[6,2,7,4,3,1,5,8]=>[[1,3,7,8],[2,4],[5],[6]]=>[2,4,2]
[8,3,5,2,1,7,6,4]=>[1,6,4,7,8,2,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[7,4,3,6,5,1,8,2]=>[2,5,6,3,4,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>[4,3,1]
[8,6,1,5,3,4,2,7]=>[1,3,8,4,6,5,7,2]=>[[1,2,3,5,7],[4],[6],[8]]=>[4,2,2]
[7,1,4,6,8,5,2,3]=>[2,8,5,3,1,4,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,3]
[7,1,2,5,3,6,4,8]=>[2,8,7,4,6,3,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[8,3,1,5,7,4,2,6]=>[1,6,8,4,2,5,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>[5,3]
[4,5,6,2,3,8,7,1]=>[5,4,3,7,6,1,2,8]=>[[1,4,8],[2,5],[3,7],[6]]=>[3,3,2]
[4,5,2,1,8,6,3,7]=>[5,4,7,8,1,3,6,2]=>[[1,3,4],[2,6,7],[5],[8]]=>[2,3,3]
[6,8,3,5,7,4,1,2]=>[3,1,6,4,2,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>[2,3,3]
[7,5,2,4,6,3,8,1]=>[2,4,7,5,3,6,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,2,1]
[8,5,3,1,2,7,6,4]=>[1,4,6,8,7,2,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>[6,2]
[3,4,1,7,6,2,5,8]=>[6,5,8,2,3,7,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>[2,2,4]
[8,3,5,1,4,2,6,7]=>[1,6,4,8,5,7,3,2]=>[[1,2,4,6],[3,5],[7],[8]]=>[3,2,3]
[7,1,6,5,8,2,3,4]=>[2,8,3,4,1,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]=>[3,2,3]
[3,7,5,4,1,6,2,8]=>[6,2,4,5,8,3,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>[2,4,2]
[7,4,2,6,5,8,3,1]=>[2,5,7,3,4,1,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>[4,2,2]
[4,8,1,5,3,2,6,7]=>[5,1,8,4,6,7,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>[2,2,4]
[2,5,8,7,4,3,1,6]=>[7,4,1,2,5,6,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>[3,5]
[1,8,6,5,3,4,7,2]=>[8,1,3,4,6,5,2,7]=>[[1,3,4,5,8],[2],[6],[7]]=>[2,5,1]
[1,6,4,7,5,2,8,3]=>[8,3,5,2,4,7,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>[2,2,3,1]
[7,5,6,1,4,2,8,3]=>[2,4,3,8,5,7,1,6]=>[[1,2,4,6],[3,5],[7,8]]=>[3,2,2,1]
[4,3,2,1,9,8,7,6,10,5]=>[7,8,9,10,2,3,4,5,1,6]=>[[1,2,3,4,10],[5,6,7,8],[9]]=>[5,4,1]
[7,5,4,3,2,1,9,6,8]=>[3,5,6,7,8,9,1,4,2]=>[[1,2,3,4,5,6],[7,8],[9]]=>[7,2]
[7,3,6,8,2,5,4,1]=>[2,6,3,1,7,4,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>[4,2,2]
[2,3,4,5,10,9,8,7,6,1]=>[9,8,7,6,1,2,3,4,5,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,5]
[1,7,5,2,6,4,3,8]=>[8,2,4,7,3,5,6,1]=>[[1,3,4,7],[2,6],[5],[8]]=>[2,3,3]
[6,4,5,2,7,3,1,8]=>[3,5,4,7,2,6,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[8,4,5,6,1,2,7,3]=>[1,5,4,3,8,7,2,6]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[8,2,5,1,6,4,7,3]=>[1,7,4,8,3,5,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[2,5,6,8,4,1,3,7]=>[7,4,3,1,5,8,6,2]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,4]
[8,4,5,1,7,6,3,2]=>[1,5,4,8,2,3,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>[3,2,3]
[4,7,6,1,3,5,2,8]=>[5,2,3,8,6,4,7,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[5,4,7,2,3,6,1,8]=>[4,5,2,7,6,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>[3,3,2]
[7,9,5,3,1,10,8,6,4,2]=>[4,2,6,8,10,1,3,5,7,9]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>[2,4,4]
[1,5,3,6,2,4,8,7]=>[8,4,6,3,7,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>[2,2,3,1]
[3,1,5,4,8,6,7,2]=>[6,8,4,5,1,3,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]
[1,7,3,6,5,8,4,2]=>[8,2,6,3,4,1,5,7]=>[[1,3,5,7,8],[2],[4],[6]]=>[2,2,2,2]
[1,8,3,4,6,5,2,7]=>[8,1,6,5,3,4,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>[2,3,3]
[6,2,3,8,1,7,5,4]=>[3,7,6,1,8,2,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>[4,2,2]
[8,2,7,4,3,6,5,1]=>[1,7,2,5,6,3,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>[3,3,2]
[3,8,4,7,1,2,6,5]=>[6,1,5,2,8,7,3,4]=>[[1,3,5,8],[2,6],[4,7]]=>[2,2,3,1]
[5,4,8,6,7,2,1,3]=>[4,5,1,3,2,7,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>[3,2,3]
[7,3,1,2,6,5,4,8]=>[2,6,8,7,3,4,5,1]=>[[1,2,3,7],[4,6],[5],[8]]=>[5,3]
[5,2,4,1,6,3,7,8]=>[4,7,5,8,3,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>[3,2,3]
[6,2,3,5,1,4,7,8]=>[3,7,6,4,8,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>[4,4]
[5,4,7,1,2,6,8,3]=>[4,5,2,8,7,3,1,6]=>[[1,2,4],[3,5,8],[6],[7]]=>[3,4,1]
[9,8,7,6,3,1,5,4,2]=>[1,2,3,4,7,9,5,6,8]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,2]
[8,4,3,6,1,2,7,5]=>[1,5,6,3,8,7,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>[4,3,1]
[6,2,1,3,5,8,4,7]=>[3,7,8,6,4,1,5,2]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,2]
[6,4,1,8,5,7,2,3]=>[3,5,8,1,4,2,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[6,5,7,1,8,3,2,4]=>[3,4,2,8,1,6,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>[3,2,3]
[2,1,5,4,6,7,8,9,3]=>[8,9,5,6,4,3,2,1,7]=>[[1,2,9],[3,4],[5],[6],[7],[8]]=>[3,5,1]
[2,8,3,6,4,5,1,7]=>[7,1,6,3,5,4,8,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>[2,2,2,2]
[8,7,9,5,3,1,10,6,4,2]=>[3,4,2,6,8,10,1,5,7,9]=>[[1,2,4,5,6],[3,8,9,10],[7]]=>[3,4,3]
[6,5,9,7,3,1,10,8,4,2]=>[5,6,2,4,8,10,1,3,7,9]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>[3,4,3]
[4,3,9,7,5,1,10,8,6,2]=>[7,8,2,4,6,10,1,3,5,9]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>[3,4,3]
[2,1,9,7,5,3,10,8,6,4]=>[9,10,2,4,6,8,1,3,5,7]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>[3,4,3]
[8,7,2,1,9,5,3,10,6,4]=>[3,4,9,10,2,6,8,1,5,7]=>[[1,2,3,4],[5,6,7],[8,9,10]]=>[5,3,2]
[6,5,2,1,9,7,3,10,8,4]=>[5,6,9,10,2,4,8,1,3,7]=>[[1,2,3,4],[5,6,7],[8,9,10]]=>[5,3,2]
[6,8,5,2,1,9,7,3,10,4]=>[5,3,6,9,10,2,4,8,1,7]=>[[1,3,4,5],[2,7,8],[6,10],[9]]=>[2,4,3,1]
[2,8,7,4,1,9,5,3,10,6]=>[9,3,4,7,10,2,6,8,1,5]=>[[1,3,4,5],[2,7,8],[6,10],[9]]=>[2,4,3,1]
[3,2,1,8,7,4,9,5,10,6]=>[8,9,10,3,4,7,2,6,1,5]=>[[1,2,3],[4,5,6],[7,8],[9,10]]=>[4,3,2,1]
[7,3,6,2,1,8,4,9,5,10]=>[4,8,5,9,10,3,7,2,6,1]=>[[1,2,4,5],[3,7],[6,9],[8],[10]]=>[3,3,2,2]
[3,2,5,1,6,4,9,7,10,8]=>[8,9,6,10,5,7,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7,10],[9]]=>[3,2,2,2,1]
[8,3,2,1,10,7,4,11,9,5,12,6]=>[5,10,11,12,3,6,9,2,4,8,1,7]=>[[1,2,3,4],[5,6,7],[8,9,10],[11,12]]=>[5,3,3,1]
[10,3,2,1,9,6,4,11,7,5,12,8]=>[3,10,11,12,4,7,9,2,6,8,1,5]=>[[1,2,3,4],[5,6,7],[8,9,10],[11,12]]=>[5,3,3,1]
[5,2,4,6,3,8,7,1]=>[4,7,5,3,6,1,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[5,7,2,6,4,8,3,1]=>[4,2,7,3,5,1,6,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[7,6,2,8,3,4,1,5]=>[2,3,7,1,6,5,8,4]=>[[1,2,3,7],[4,5],[6],[8]]=>[4,2,2]
[2,8,7,3,6,4,5,1]=>[7,1,2,6,3,5,4,8]=>[[1,3,4,6,8],[2],[5],[7]]=>[2,3,2,1]
[8,4,5,7,6,2,1,3]=>[1,5,4,2,3,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>[4,4]
[8,7,5,4,1,3,6,2]=>[1,2,4,5,8,6,3,7]=>[[1,2,3,4,5,8],[6],[7]]=>[7,1]
[8,3,5,6,2,4,7,1]=>[1,6,4,3,7,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[8,2,6,7,3,5,1,4]=>[1,7,3,2,6,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>[4,2,2]
[8,6,1,5,7,3,4,2]=>[1,3,8,4,2,6,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[8,4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>[3,4,1]
[9,6,8,7,5,4,3,2,1]=>[1,4,2,3,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,6]
[2,7,3,6,8,4,5,1]=>[7,2,6,3,1,5,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>[2,3,2,1]
[5,2,7,6,3,4,1,8]=>[4,7,2,3,6,5,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[6,4,2,5,7,1,3,8]=>[3,5,7,4,2,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[2,5,7,4,3,6,1,8]=>[7,4,2,5,6,3,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>[3,3,2]
[4,5,6,7,8,3,2,1,9]=>[6,5,4,3,2,7,8,9,1]=>[[1,6,7,8],[2],[3],[4],[5],[9]]=>[5,4]
[4,5,6,7,8,9,3,2,1,10]=>[7,6,5,4,3,2,8,9,10,1]=>[[1,7,8,9],[2],[3],[4],[5],[6],[10]]=>[6,4]
[5,6,7,8,9,4,3,2,1,10]=>[6,5,4,3,2,7,8,9,10,1]=>[[1,6,7,8,9],[2],[3],[4],[5],[10]]=>[5,5]
[6,1,8,3,5,7,2,4]=>[3,8,1,6,4,2,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>[3,3,2]
[2,7,4,5,1,3,6,8]=>[7,2,5,4,8,6,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>[2,2,4]
[8,4,3,6,2,7,5,1]=>[1,5,6,3,7,2,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>[4,2,2]
[3,7,2,1,6,5,4,8]=>[6,2,7,8,3,4,5,1]=>[[1,3,4,7],[2,5,6],[8]]=>[2,3,3]
[2,7,3,4,1,6,5,8]=>[7,2,6,5,8,3,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[3,5,1,8,7,6,4,2]=>[6,4,8,1,2,3,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[2,1,3,7,6,4,8,5]=>[7,8,6,2,3,5,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>[4,3,1]
[7,2,8,3,4,1,6,5]=>[2,7,1,6,5,8,3,4]=>[[1,2,6],[3,4,8],[5],[7]]=>[3,2,2,1]
[3,1,8,4,2,6,7,5]=>[6,8,1,5,7,3,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>[3,4,1]
[8,4,3,2,6,1,7,5]=>[1,5,6,7,3,8,2,4]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1]
[5,1,4,7,6,3,8,2]=>[4,8,5,2,3,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[8,3,6,5,7,4,1,2]=>[1,6,3,4,2,5,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>[3,2,3]
[1,8,5,3,4,2,7,6]=>[8,1,4,6,5,7,2,3]=>[[1,3,4,6],[2,8],[5],[7]]=>[2,3,2,1]
[8,1,5,2,4,7,6,3]=>[1,8,4,7,5,2,3,6]=>[[1,2,4,8],[3,7],[5],[6]]=>[3,3,2]
[5,1,6,3,4,7,2,8]=>[4,8,3,6,5,2,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>[3,3,2]
[7,1,5,8,2,4,6,3]=>[2,8,4,1,7,5,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,3,1]
[7,6,2,4,5,1,3,8]=>[2,3,7,5,4,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>[5,3]
[4,3,1,9,8,7,6,5,2]=>[6,7,9,1,2,3,4,5,8]=>[[1,2,3,7,8,9],[4,5,6]]=>[4,5]
[8,5,7,3,4,6,1,2]=>[1,4,2,6,5,3,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>[3,3,2]
[3,1,2,5,8,4,7,6]=>[6,8,7,4,1,5,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,2,1]
[4,7,5,6,1,2,3,8]=>[5,2,4,3,8,7,6,1]=>[[1,3,5],[2,6],[4,7],[8]]=>[2,2,4]
[8,2,4,7,6,3,5,1]=>[1,7,5,2,3,6,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>[4,3,1]
[3,8,6,2,5,4,1,7]=>[6,1,3,7,4,5,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[8,7,5,4,3,2,1,10,6,9]=>[3,4,6,7,8,9,10,1,5,2]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[8,2]
[8,7,6,4,3,2,1,10,5,9]=>[3,4,5,7,8,9,10,1,6,2]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[8,2]
[7,1,4,8,6,5,3,2]=>[2,8,5,1,3,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>[4,4]
[8,3,4,6,2,7,5,1]=>[1,6,5,3,7,2,4,8]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[8,5,7,4,6,3,1,2]=>[1,4,2,5,3,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>[3,2,3]
[2,7,8,1,5,6,4,3]=>[7,2,1,8,4,3,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>[3,3,2]
[8,4,7,3,2,6,5,1]=>[1,5,2,6,7,3,4,8]=>[[1,2,4,5,8],[3,6,7]]=>[3,3,2]
[3,6,7,4,5,1,2,8]=>[6,3,2,5,4,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>[3,2,3]
[5,7,4,2,3,6,1,8]=>[4,2,5,7,6,3,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>[2,4,2]
[3,4,8,2,5,1,6,7]=>[6,5,1,7,4,8,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>[3,2,3]
[9,8,6,5,3,2,1,4,7]=>[1,2,4,5,7,8,9,6,3]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9]
[9,7,5,4,3,2,1,6,8,10]=>[2,4,6,7,8,9,10,5,3,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10]
[7,3,5,2,4,6,8,1]=>[2,6,4,7,5,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>[3,4,1]
[3,4,1,7,6,5,2,8]=>[6,5,8,2,3,4,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>[2,2,4]
[3,2,7,8,6,5,1,4]=>[6,7,2,1,3,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>[4,4]
[7,1,2,5,4,3,6,8]=>[2,8,7,4,5,6,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,4]
[4,10,3,9,2,8,7,1,6,5]=>[7,1,8,2,9,3,4,10,5,6]=>[[1,3,5,7,8,10],[2,4,6,9]]=>[2,2,2,3,1]
[9,2,10,8,7,6,5,4,1,3]=>[2,9,1,3,4,5,6,7,10,8]=>[[1,2,5,6,7,8,9],[3,4,10]]=>[3,7]
[8,4,1,5,3,2,7,6]=>[1,5,8,4,6,7,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>[4,3,1]
[4,8,1,5,3,2,7,6]=>[5,1,8,4,6,7,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>[2,2,3,1]
[1,5,6,3,2,7,4,8]=>[8,4,3,6,7,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>[3,3,2]
[7,1,3,5,2,6,4,8]=>[2,8,6,4,7,3,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>[4,2,2]
[7,1,5,4,3,2,6,8]=>[2,8,4,5,6,7,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>[3,5]
[7,3,4,2,8,6,5,1]=>[2,6,5,7,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>[3,2,3]
[9,3,2,1,10,8,7,6,5,4]=>[2,8,9,10,1,3,4,5,6,7]=>[[1,2,3,4,9,10],[5,6,7,8]]=>[5,5]
[3,8,5,2,4,1,7,6]=>[6,1,4,7,5,8,2,3]=>[[1,3,4,6],[2,5],[7,8]]=>[2,3,2,1]
[3,6,2,5,7,4,1,8]=>[6,3,7,4,2,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>[2,3,3]
[4,9,8,7,6,3,1,5,2]=>[6,1,2,3,4,7,9,5,8]=>[[1,3,4,5,6,7],[2,8,9]]=>[2,6,1]
[5,6,3,1,4,8,7,2]=>[4,3,6,8,5,1,2,7]=>[[1,3,4],[2,5,8],[6,7]]=>[2,4,2]
[6,1,8,4,3,7,5,2]=>[3,8,1,5,6,2,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>[3,3,2]
[1,3,5,8,7,9,6,4,2]=>[9,7,5,2,3,1,4,6,8]=>[[1,5,7,8,9],[2],[3],[4],[6]]=>[4,2,3]
[7,5,6,1,4,8,3,2]=>[2,4,3,8,5,1,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[3,8,6,7,1,4,2,5]=>[6,1,3,2,8,5,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>[2,2,2,2]
[5,1,6,7,2,4,3,8]=>[4,8,3,2,7,5,6,1]=>[[1,2,7],[3,5],[4,6],[8]]=>[4,2,2]
[5,8,2,3,7,1,6,4]=>[4,1,7,6,2,8,3,5]=>[[1,3,6,8],[2,4,7],[5]]=>[2,3,2,1]
[5,8,1,2,7,4,6,3]=>[4,1,8,7,2,5,3,6]=>[[1,3,6,8],[2,4],[5],[7]]=>[2,3,2,1]
[3,8,2,5,7,4,1,6]=>[6,1,7,4,2,5,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>[2,3,3]
[4,5,2,1,3,7,8,6]=>[5,4,7,8,6,2,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>[2,5,1]
[4,2,1,7,6,3,5,8]=>[5,7,8,2,3,6,4,1]=>[[1,2,3],[4,5,6],[7],[8]]=>[4,4]
[7,5,2,1,3,4,8,6]=>[2,4,7,8,6,5,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,1]
[5,1,4,6,8,7,2,3]=>[4,8,5,3,1,2,7,6]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,3]
[2,6,8,7,1,4,3,5]=>[7,3,1,2,8,5,6,4]=>[[1,4,5,7],[2,6],[3,8]]=>[3,3,2]
[8,3,1,6,4,5,7,2]=>[1,6,8,3,5,4,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>[4,3,1]
[8,2,4,7,5,3,6,1]=>[1,7,5,2,4,6,3,8]=>[[1,2,5,6,8],[3],[4],[7]]=>[4,3,1]
[8,3,6,2,5,7,4,1]=>[1,6,3,7,4,2,5,8]=>[[1,2,4,7,8],[3,5],[6]]=>[3,3,2]
[8,6,3,5,2,4,7,1]=>[1,3,6,4,7,5,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>[4,3,1]
[7,2,5,4,3,1,8,6]=>[2,7,4,5,6,8,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[3,1,8,6,4,5,2,7]=>[6,8,1,3,5,4,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[4,5,7,1,8,3,6,2]=>[5,4,2,8,1,6,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,2,7,4,6,1,5,8]=>[6,7,2,5,3,8,4,1]=>[[1,2,6],[3,4,7],[5],[8]]=>[3,2,3]
[1,8,6,2,7,5,4,3]=>[8,1,3,7,2,4,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>[2,3,3]
[8,1,6,5,4,2,7,3]=>[1,8,3,4,5,7,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>[3,4,1]
[4,2,7,3,8,1,5,6]=>[5,7,2,6,1,8,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>[3,2,3]
[4,7,3,2,1,6,8,5]=>[5,2,6,7,8,3,1,4]=>[[1,3,4,5],[2,6,8],[7]]=>[2,5,1]
[1,3,7,8,6,2,5,4]=>[8,6,2,1,3,7,4,5]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,1]
[7,4,5,1,6,3,2,8]=>[2,5,4,8,3,6,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[6,8,4,3,5,2,1,7]=>[3,1,5,6,4,7,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>[2,3,3]
[6,1,3,8,7,4,2,5]=>[3,8,6,1,2,5,7,4]=>[[1,2,6,7],[3,5],[4],[8]]=>[4,4]
[8,2,5,1,6,4,3,7]=>[1,7,4,8,3,5,6,2]=>[[1,2,4,7],[3,6],[5],[8]]=>[3,2,3]
[4,8,3,2,5,7,1,6]=>[5,1,6,7,4,2,8,3]=>[[1,3,4,7],[2,5,8],[6]]=>[2,4,2]
[5,4,8,6,7,1,3,2]=>[4,5,1,3,2,8,6,7]=>[[1,2,6,8],[3,4,7],[5]]=>[3,2,2,1]
[3,1,6,7,5,4,8,2]=>[6,8,3,2,4,5,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>[4,3,1]
[3,5,2,1,4,8,6,7]=>[6,4,7,8,5,1,3,2]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[8,2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>[3,2,2,1]
[7,3,6,8,2,1,4,5]=>[2,6,3,1,7,8,5,4]=>[[1,2,5,6],[3,7],[4,8]]=>[4,4]
[1,5,7,2,8,6,3,4]=>[8,4,2,7,1,3,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>[3,2,3]
[8,4,1,7,6,5,2,3]=>[1,5,8,2,3,4,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>[4,4]
[4,5,6,1,8,2,7,3]=>[5,4,3,8,1,7,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]
[3,5,2,4,6,7,1,8]=>[6,4,7,5,3,2,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>[2,4,2]
[3,2,7,5,1,4,8,6]=>[6,7,2,4,8,5,1,3]=>[[1,2,5],[3,4,6],[7,8]]=>[3,4,1]
[5,7,4,8,6,2,3,1]=>[4,2,5,1,3,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>[2,2,3,1]
[6,3,4,5,1,8,7,2]=>[3,6,5,4,8,1,2,7]=>[[1,2,5],[3,7,8],[4],[6]]=>[4,2,2]
[7,3,4,6,5,1,8,2]=>[2,6,5,3,4,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[8,5,2,3,7,6,4,1]=>[1,4,7,6,2,3,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>[5,3]
[3,8,4,5,2,7,6,1]=>[6,1,5,4,7,2,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>[2,2,2,2]
[1,7,5,4,2,3,6,8]=>[8,2,4,5,7,6,3,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>[2,6]
[4,6,2,1,7,3,8,5]=>[5,3,7,8,2,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>[2,3,2,1]
[1,5,2,3,4,6,7,9,8]=>[9,5,8,7,6,4,3,1,2]=>[[1,3],[2,9],[4],[5],[6],[7],[8]]=>[2,6,1]
[6,2,1,4,7,3,5,8]=>[3,7,8,5,2,6,4,1]=>[[1,2,3],[4,6],[5,7],[8]]=>[5,3]
[3,7,2,1,6,4,5,8]=>[6,2,7,8,3,5,4,1]=>[[1,3,4],[2,5,6],[7],[8]]=>[2,3,3]
[8,6,1,5,7,2,4,3]=>[1,3,8,4,2,7,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1]
[4,8,3,2,6,7,5,1]=>[5,1,6,7,3,2,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>[2,4,2]
[3,5,6,8,1,4,7,2]=>[6,4,3,1,8,5,2,7]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,1]
[8,1,7,3,4,6,5,2]=>[1,8,2,6,5,3,4,7]=>[[1,2,4,7,8],[3],[5],[6]]=>[3,3,2]
[3,8,2,7,4,6,5,1]=>[6,1,7,2,5,3,4,8]=>[[1,3,5,7,8],[2,4],[6]]=>[2,2,2,2]
[4,3,1,10,9,8,7,6,5,2]=>[7,8,10,1,2,3,4,5,6,9]=>[[1,2,3,7,8,9,10],[4,5,6]]=>[4,6]
[3,8,4,7,2,1,5,6]=>[6,1,5,2,7,8,4,3]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[1,2,9,8,7,6,5,4,3,10]=>[10,9,2,3,4,5,6,7,8,1]=>[[1,4,5,6,7,8,9],[2],[3],[10]]=>[3,7]
[4,2,3,7,6,8,5,1]=>[5,7,6,2,3,1,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>[4,2,2]
[8,5,2,7,6,3,4,1]=>[1,4,7,2,3,6,5,8]=>[[1,2,3,6,8],[4,5],[7]]=>[4,3,1]
[6,3,2,1,7,5,8,4]=>[3,6,7,8,2,4,1,5]=>[[1,2,3,4],[5,6,8],[7]]=>[5,2,1]
[1,6,3,8,7,5,4,2]=>[8,3,6,1,2,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>[2,2,4]
[5,3,4,1,7,6,2,8]=>[4,6,5,8,2,3,7,1]=>[[1,2,4],[3,6,7],[5],[8]]=>[3,2,3]
[7,1,5,6,4,2,8,3]=>[2,8,4,3,5,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,3,1]
[6,5,4,1,3,2,7,8]=>[3,4,5,8,6,7,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,3]
[4,9,3,2,1,10,8,7,6,5]=>[7,2,8,9,10,1,3,4,5,6]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>[2,4,4]
[10,2,9,1,8,7,6,5,4,3]=>[1,9,2,10,3,4,5,6,7,8]=>[[1,2,4,6,7,8,9,10],[3,5]]=>[3,2,5]
[2,8,7,6,5,4,3,1,10,9]=>[9,3,4,5,6,7,8,10,1,2]=>[[1,3,4,5,6,7,8],[2,10],[9]]=>[2,7,1]
[2,5,3,4,7,1,6,8]=>[7,4,6,5,2,8,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>[2,3,3]
[4,1,7,6,2,5,3,8]=>[5,8,2,3,7,4,6,1]=>[[1,2,5,7],[3,4],[6],[8]]=>[3,3,2]
[9,8,7,6,5,2,1,10,4,3]=>[2,3,4,5,6,9,10,1,7,8]=>[[1,2,3,4,5,6,7],[8,9,10]]=>[8,2]
[8,4,3,2,1,9,7,6,5]=>[2,6,7,8,9,1,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>[6,3]
[9,6,5,4,3,2,1,10,8,7]=>[2,5,6,7,8,9,10,1,3,4]=>[[1,2,3,4,5,6,7],[8,9,10]]=>[8,2]
[9,5,4,3,2,1,10,8,7,6]=>[2,6,7,8,9,10,1,3,4,5]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[7,3]
[4,7,6,1,2,8,3,5]=>[5,2,3,8,7,1,6,4]=>[[1,3,4],[2,5],[6,7],[8]]=>[2,4,2]
[3,5,7,9,8,6,4,2,1]=>[7,5,3,1,2,4,6,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,5]
[5,4,3,1,9,8,7,6,2]=>[5,6,7,9,1,2,3,4,8]=>[[1,2,3,4,9],[5,6,7,8]]=>[5,4]
[1,5,2,4,3,7,8,6]=>[8,4,7,5,6,2,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>[2,2,3,1]
[2,10,8,6,4,1,9,7,5,3]=>[9,1,3,5,7,10,2,4,6,8]=>[[1,3,4,5,6],[2,8,9,10],[7]]=>[2,5,3]
[10,9,8,6,7,4,5,2,3,1]=>[1,2,3,5,4,7,6,9,8,10]=>[[1,2,3,4,6,8,10],[5,7,9]]=>[5,2,2,1]
[7,6,5,4,10,3,9,2,8,1]=>[4,5,6,7,1,8,2,9,3,10]=>[[1,2,3,4,6,8,10],[5,7,9]]=>[5,2,2,1]
[4,3,5,7,1,2,8,6]=>[5,6,4,2,8,7,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>[4,3,1]
[1,7,4,6,5,2,3,8]=>[8,2,5,3,4,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>[2,2,4]
[7,8,1,9,6,5,4,3,2]=>[3,2,9,1,4,5,6,7,8]=>[[1,3,6,7,8,9],[2,5],[4]]=>[2,2,5]
[10,9,8,7,6,5,3,1,2,4]=>[1,2,3,4,5,6,8,10,9,7]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10]
[10,9,8,7,6,4,1,2,3,5]=>[1,2,3,4,5,7,10,9,8,6]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10]
[10,9,8,7,5,1,2,3,4,6]=>[1,2,3,4,6,10,9,8,7,5]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10]
[10,9,8,6,1,2,3,4,5,7]=>[1,2,3,5,10,9,8,7,6,4]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10]
[10,9,7,1,2,3,4,5,6,8]=>[1,2,4,10,9,8,7,6,5,3]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10]
[6,2,7,1,5,4,8,3]=>[3,7,2,8,4,5,1,6]=>[[1,2,4,8],[3,5,6],[7]]=>[3,2,2,1]
[8,1,4,5,2,7,6,3]=>[1,8,5,4,7,2,3,6]=>[[1,2,5,8],[3,7],[4],[6]]=>[4,2,2]
[5,2,3,7,6,8,1,4]=>[4,7,6,2,3,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>[4,2,2]
[3,8,7,6,5,4,1,9,2]=>[7,2,3,4,5,6,9,1,8]=>[[1,3,4,5,6,7],[2,9],[8]]=>[2,6,1]
[8,9,6,5,4,3,1,7,2]=>[2,1,4,5,6,7,9,3,8]=>[[1,3,4,5,6,7],[2,8,9]]=>[2,6,1]
[7,10,9,1,8,6,5,4,3,2]=>[4,1,2,10,3,5,6,7,8,9]=>[[1,3,4,6,7,8,9,10],[2,5]]=>[2,3,5]
[4,5,2,3,6,8,7,1]=>[5,4,7,6,3,1,2,8]=>[[1,3,8],[2,4],[5,7],[6]]=>[2,4,2]
[1,7,4,5,2,6,3,8]=>[8,2,5,4,7,3,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>[2,2,2,2]
[5,8,4,3,2,1,9,6,7]=>[5,2,6,7,8,9,1,4,3]=>[[1,3,4,5,6],[2,8],[7,9]]=>[2,5,2]
[3,8,7,6,5,4,2,1,10,9]=>[8,3,4,5,6,7,9,10,1,2]=>[[1,3,4,5,6,7,8],[2,10],[9]]=>[2,7,1]
[6,1,5,3,2,8,7,4]=>[3,8,4,6,7,1,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>[3,3,2]
[5,4,1,10,9,8,7,6,3,2]=>[6,7,10,1,2,3,4,5,8,9]=>[[1,2,3,7,8,9,10],[4,5,6]]=>[4,6]
[5,2,1,6,4,8,3,7]=>[4,7,8,3,5,1,6,2]=>[[1,2,3],[4,5,7],[6,8]]=>[4,2,2]
[6,7,8,2,1,9,5,4,3]=>[4,3,2,8,9,1,5,6,7]=>[[1,4,5,9],[2,7,8],[3],[6]]=>[3,3,3]
[5,6,8,7,4,3,2,1,9]=>[5,4,2,3,6,7,8,9,1]=>[[1,4,5,6,7,8],[2],[3],[9]]=>[3,6]
[1,7,5,2,4,6,8,3]=>[8,2,4,7,5,3,1,6]=>[[1,3,4,8],[2],[5],[6],[7]]=>[2,5,1]
[9,7,5,8,6,4,3,2,1]=>[1,3,5,2,4,6,7,8,9]=>[[1,2,3,6,7,8,9],[4,5]]=>[4,5]
[8,7,5,1,6,4,3,2,9]=>[2,3,5,9,4,6,7,8,1]=>[[1,2,3,4,7,8],[5,6],[9]]=>[5,4]
[9,8,7,6,4,3,1,5,2]=>[1,2,3,4,6,7,9,5,8]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,1]
[2,6,3,7,4,8,1,5,9]=>[8,4,7,3,6,2,9,5,1]=>[[1,3,7],[2,5],[4,8],[6],[9]]=>[2,2,2,3]
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation σ of length n is the permutation τ with τ(i)=n+1−σ(i)
The complement of a permutation σ of length n is the permutation τ with τ(i)=n+1−σ(i)
Map
Robinson-Schensted recording tableau
Description
Sends a permutation to its Robinson-Schensted recording 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 recording 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 recording 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≤i≤n−1 is a valley if i−1 is a descent and i is an ascent.
This map returns the composition c1,…,ck of n such that {c1,c1+c2,…,c1+⋯+ck} 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≤i≤n−1 is a valley if i−1 is a descent and i is an ascent.
This map returns the composition c1,…,ck of n such that {c1,c1+c2,…,c1+⋯+ck} is the valley set of T.
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