Identifier
Mp00064:
Permutations
—reverse⟶
Permutations
Mp00329: Permutations —Tanimoto⟶ Permutations
Mp00059: Permutations —Robinson-Schensted insertion tableau⟶ Standard tableaux
Mp00329: Permutations —Tanimoto⟶ Permutations
Mp00059: Permutations —Robinson-Schensted insertion tableau⟶ Standard tableaux
Images
=>
Cc0007;cc-rep-3
[1]=>[1]=>[1]=>[[1]]
[1,2]=>[2,1]=>[2,1]=>[[1],[2]]
[2,1]=>[1,2]=>[1,2]=>[[1,2]]
[1,2,3]=>[3,2,1]=>[3,2,1]=>[[1],[2],[3]]
[1,3,2]=>[2,3,1]=>[3,1,2]=>[[1,2],[3]]
[2,1,3]=>[3,1,2]=>[2,3,1]=>[[1,3],[2]]
[2,3,1]=>[1,3,2]=>[2,1,3]=>[[1,3],[2]]
[3,1,2]=>[2,1,3]=>[1,3,2]=>[[1,2],[3]]
[3,2,1]=>[1,2,3]=>[1,2,3]=>[[1,2,3]]
[1,2,3,4]=>[4,3,2,1]=>[4,3,2,1]=>[[1],[2],[3],[4]]
[1,2,4,3]=>[3,4,2,1]=>[4,1,3,2]=>[[1,2],[3],[4]]
[1,3,2,4]=>[4,2,3,1]=>[3,4,2,1]=>[[1,4],[2],[3]]
[1,3,4,2]=>[2,4,3,1]=>[3,1,4,2]=>[[1,2],[3,4]]
[1,4,2,3]=>[3,2,4,1]=>[4,3,1,2]=>[[1,2],[3],[4]]
[1,4,3,2]=>[2,3,4,1]=>[3,4,1,2]=>[[1,2],[3,4]]
[2,1,3,4]=>[4,3,1,2]=>[4,2,3,1]=>[[1,3],[2],[4]]
[2,1,4,3]=>[3,4,1,2]=>[4,1,2,3]=>[[1,2,3],[4]]
[2,3,1,4]=>[4,1,3,2]=>[2,4,3,1]=>[[1,3],[2],[4]]
[2,3,4,1]=>[1,4,3,2]=>[2,1,4,3]=>[[1,3],[2,4]]
[2,4,1,3]=>[3,1,4,2]=>[4,2,1,3]=>[[1,3],[2],[4]]
[2,4,3,1]=>[1,3,4,2]=>[2,4,1,3]=>[[1,3],[2,4]]
[3,1,2,4]=>[4,2,1,3]=>[3,2,4,1]=>[[1,4],[2],[3]]
[3,1,4,2]=>[2,4,1,3]=>[3,1,2,4]=>[[1,2,4],[3]]
[3,2,1,4]=>[4,1,2,3]=>[2,3,4,1]=>[[1,3,4],[2]]
[3,2,4,1]=>[1,4,2,3]=>[2,1,3,4]=>[[1,3,4],[2]]
[3,4,1,2]=>[2,1,4,3]=>[3,2,1,4]=>[[1,4],[2],[3]]
[3,4,2,1]=>[1,2,4,3]=>[2,3,1,4]=>[[1,3,4],[2]]
[4,1,2,3]=>[3,2,1,4]=>[1,4,3,2]=>[[1,2],[3],[4]]
[4,1,3,2]=>[2,3,1,4]=>[1,3,4,2]=>[[1,2,4],[3]]
[4,2,1,3]=>[3,1,2,4]=>[1,4,2,3]=>[[1,2,3],[4]]
[4,2,3,1]=>[1,3,2,4]=>[1,2,4,3]=>[[1,2,3],[4]]
[4,3,1,2]=>[2,1,3,4]=>[1,3,2,4]=>[[1,2,4],[3]]
[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4]=>[[1,2,3,4]]
[1,2,3,4,5]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]
[1,2,3,5,4]=>[4,5,3,2,1]=>[5,1,4,3,2]=>[[1,2],[3],[4],[5]]
[1,2,4,3,5]=>[5,3,4,2,1]=>[4,5,3,2,1]=>[[1,5],[2],[3],[4]]
[1,2,4,5,3]=>[3,5,4,2,1]=>[4,1,5,3,2]=>[[1,2],[3,5],[4]]
[1,2,5,3,4]=>[4,3,5,2,1]=>[5,4,1,3,2]=>[[1,2],[3],[4],[5]]
[1,2,5,4,3]=>[3,4,5,2,1]=>[4,5,1,3,2]=>[[1,2],[3,5],[4]]
[1,3,2,4,5]=>[5,4,2,3,1]=>[5,3,4,2,1]=>[[1,4],[2],[3],[5]]
[1,3,2,5,4]=>[4,5,2,3,1]=>[5,1,3,4,2]=>[[1,2,4],[3],[5]]
[1,3,4,2,5]=>[5,2,4,3,1]=>[3,5,4,2,1]=>[[1,4],[2],[3],[5]]
[1,3,4,5,2]=>[2,5,4,3,1]=>[3,1,5,4,2]=>[[1,2],[3,4],[5]]
[1,3,5,2,4]=>[4,2,5,3,1]=>[5,3,1,4,2]=>[[1,2],[3,4],[5]]
[1,3,5,4,2]=>[2,4,5,3,1]=>[3,5,1,4,2]=>[[1,2],[3,4],[5]]
[1,4,2,3,5]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[[1,5],[2],[3],[4]]
[1,4,2,5,3]=>[3,5,2,4,1]=>[4,1,3,5,2]=>[[1,2,5],[3],[4]]
[1,4,3,2,5]=>[5,2,3,4,1]=>[3,4,5,2,1]=>[[1,4,5],[2],[3]]
[1,4,3,5,2]=>[2,5,3,4,1]=>[3,1,4,5,2]=>[[1,2,5],[3,4]]
[1,4,5,2,3]=>[3,2,5,4,1]=>[4,3,1,5,2]=>[[1,2],[3,5],[4]]
[1,4,5,3,2]=>[2,3,5,4,1]=>[3,4,1,5,2]=>[[1,2,5],[3,4]]
[1,5,2,3,4]=>[4,3,2,5,1]=>[5,4,3,1,2]=>[[1,2],[3],[4],[5]]
[1,5,2,4,3]=>[3,4,2,5,1]=>[4,5,3,1,2]=>[[1,2],[3,5],[4]]
[1,5,3,2,4]=>[4,2,3,5,1]=>[5,3,4,1,2]=>[[1,2],[3,4],[5]]
[1,5,3,4,2]=>[2,4,3,5,1]=>[3,5,4,1,2]=>[[1,2],[3,4],[5]]
[1,5,4,2,3]=>[3,2,4,5,1]=>[4,3,5,1,2]=>[[1,2],[3,5],[4]]
[1,5,4,3,2]=>[2,3,4,5,1]=>[3,4,5,1,2]=>[[1,2,5],[3,4]]
[2,1,3,4,5]=>[5,4,3,1,2]=>[5,4,2,3,1]=>[[1,3],[2],[4],[5]]
[2,1,3,5,4]=>[4,5,3,1,2]=>[5,1,4,2,3]=>[[1,2,3],[4],[5]]
[2,1,4,3,5]=>[5,3,4,1,2]=>[4,5,2,3,1]=>[[1,3],[2,5],[4]]
[2,1,4,5,3]=>[3,5,4,1,2]=>[4,1,5,2,3]=>[[1,2,3],[4,5]]
[2,1,5,3,4]=>[4,3,5,1,2]=>[5,4,1,2,3]=>[[1,2,3],[4],[5]]
[2,1,5,4,3]=>[3,4,5,1,2]=>[4,5,1,2,3]=>[[1,2,3],[4,5]]
[2,3,1,4,5]=>[5,4,1,3,2]=>[5,2,4,3,1]=>[[1,3],[2],[4],[5]]
[2,3,1,5,4]=>[4,5,1,3,2]=>[5,1,2,4,3]=>[[1,2,3],[4],[5]]
[2,3,4,1,5]=>[5,1,4,3,2]=>[2,5,4,3,1]=>[[1,3],[2],[4],[5]]
[2,3,4,5,1]=>[1,5,4,3,2]=>[2,1,5,4,3]=>[[1,3],[2,4],[5]]
[2,3,5,1,4]=>[4,1,5,3,2]=>[5,2,1,4,3]=>[[1,3],[2,4],[5]]
[2,3,5,4,1]=>[1,4,5,3,2]=>[2,5,1,4,3]=>[[1,3],[2,4],[5]]
[2,4,1,3,5]=>[5,3,1,4,2]=>[4,2,5,3,1]=>[[1,3],[2,5],[4]]
[2,4,1,5,3]=>[3,5,1,4,2]=>[4,1,2,5,3]=>[[1,2,3],[4,5]]
[2,4,3,1,5]=>[5,1,3,4,2]=>[2,4,5,3,1]=>[[1,3,5],[2],[4]]
[2,4,3,5,1]=>[1,5,3,4,2]=>[2,1,4,5,3]=>[[1,3,5],[2,4]]
[2,4,5,1,3]=>[3,1,5,4,2]=>[4,2,1,5,3]=>[[1,3],[2,5],[4]]
[2,4,5,3,1]=>[1,3,5,4,2]=>[2,4,1,5,3]=>[[1,3,5],[2,4]]
[2,5,1,3,4]=>[4,3,1,5,2]=>[5,4,2,1,3]=>[[1,3],[2],[4],[5]]
[2,5,1,4,3]=>[3,4,1,5,2]=>[4,5,2,1,3]=>[[1,3],[2,5],[4]]
[2,5,3,1,4]=>[4,1,3,5,2]=>[5,2,4,1,3]=>[[1,3],[2,4],[5]]
[2,5,3,4,1]=>[1,4,3,5,2]=>[2,5,4,1,3]=>[[1,3],[2,4],[5]]
[2,5,4,1,3]=>[3,1,4,5,2]=>[4,2,5,1,3]=>[[1,3],[2,5],[4]]
[2,5,4,3,1]=>[1,3,4,5,2]=>[2,4,5,1,3]=>[[1,3,5],[2,4]]
[3,1,2,4,5]=>[5,4,2,1,3]=>[5,3,2,4,1]=>[[1,4],[2],[3],[5]]
[3,1,2,5,4]=>[4,5,2,1,3]=>[5,1,3,2,4]=>[[1,2,4],[3],[5]]
[3,1,4,2,5]=>[5,2,4,1,3]=>[3,5,2,4,1]=>[[1,4],[2,5],[3]]
[3,1,4,5,2]=>[2,5,4,1,3]=>[3,1,5,2,4]=>[[1,2,4],[3,5]]
[3,1,5,2,4]=>[4,2,5,1,3]=>[5,3,1,2,4]=>[[1,2,4],[3],[5]]
[3,1,5,4,2]=>[2,4,5,1,3]=>[3,5,1,2,4]=>[[1,2,4],[3,5]]
[3,2,1,4,5]=>[5,4,1,2,3]=>[5,2,3,4,1]=>[[1,3,4],[2],[5]]
[3,2,1,5,4]=>[4,5,1,2,3]=>[5,1,2,3,4]=>[[1,2,3,4],[5]]
[3,2,4,1,5]=>[5,1,4,2,3]=>[2,5,3,4,1]=>[[1,3,4],[2],[5]]
[3,2,4,5,1]=>[1,5,4,2,3]=>[2,1,5,3,4]=>[[1,3,4],[2,5]]
[3,2,5,1,4]=>[4,1,5,2,3]=>[5,2,1,3,4]=>[[1,3,4],[2],[5]]
[3,2,5,4,1]=>[1,4,5,2,3]=>[2,5,1,3,4]=>[[1,3,4],[2,5]]
[3,4,1,2,5]=>[5,2,1,4,3]=>[3,2,5,4,1]=>[[1,4],[2,5],[3]]
[3,4,1,5,2]=>[2,5,1,4,3]=>[3,1,2,5,4]=>[[1,2,4],[3,5]]
[3,4,2,1,5]=>[5,1,2,4,3]=>[2,3,5,4,1]=>[[1,3,4],[2],[5]]
[3,4,2,5,1]=>[1,5,2,4,3]=>[2,1,3,5,4]=>[[1,3,4],[2,5]]
[3,4,5,1,2]=>[2,1,5,4,3]=>[3,2,1,5,4]=>[[1,4],[2,5],[3]]
[3,4,5,2,1]=>[1,2,5,4,3]=>[2,3,1,5,4]=>[[1,3,4],[2,5]]
[3,5,1,2,4]=>[4,2,1,5,3]=>[5,3,2,1,4]=>[[1,4],[2],[3],[5]]
[3,5,1,4,2]=>[2,4,1,5,3]=>[3,5,2,1,4]=>[[1,4],[2,5],[3]]
[3,5,2,1,4]=>[4,1,2,5,3]=>[5,2,3,1,4]=>[[1,3,4],[2],[5]]
[3,5,2,4,1]=>[1,4,2,5,3]=>[2,5,3,1,4]=>[[1,3,4],[2],[5]]
[3,5,4,1,2]=>[2,1,4,5,3]=>[3,2,5,1,4]=>[[1,4],[2,5],[3]]
[3,5,4,2,1]=>[1,2,4,5,3]=>[2,3,5,1,4]=>[[1,3,4],[2,5]]
[4,1,2,3,5]=>[5,3,2,1,4]=>[4,3,2,5,1]=>[[1,5],[2],[3],[4]]
[4,1,2,5,3]=>[3,5,2,1,4]=>[4,1,3,2,5]=>[[1,2,5],[3],[4]]
[4,1,3,2,5]=>[5,2,3,1,4]=>[3,4,2,5,1]=>[[1,4,5],[2],[3]]
[4,1,3,5,2]=>[2,5,3,1,4]=>[3,1,4,2,5]=>[[1,2,5],[3,4]]
[4,1,5,2,3]=>[3,2,5,1,4]=>[4,3,1,2,5]=>[[1,2,5],[3],[4]]
[4,1,5,3,2]=>[2,3,5,1,4]=>[3,4,1,2,5]=>[[1,2,5],[3,4]]
[4,2,1,3,5]=>[5,3,1,2,4]=>[4,2,3,5,1]=>[[1,3,5],[2],[4]]
[4,2,1,5,3]=>[3,5,1,2,4]=>[4,1,2,3,5]=>[[1,2,3,5],[4]]
[4,2,3,1,5]=>[5,1,3,2,4]=>[2,4,3,5,1]=>[[1,3,5],[2],[4]]
[4,2,3,5,1]=>[1,5,3,2,4]=>[2,1,4,3,5]=>[[1,3,5],[2,4]]
[4,2,5,1,3]=>[3,1,5,2,4]=>[4,2,1,3,5]=>[[1,3,5],[2],[4]]
[4,2,5,3,1]=>[1,3,5,2,4]=>[2,4,1,3,5]=>[[1,3,5],[2,4]]
[4,3,1,2,5]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[[1,4,5],[2],[3]]
[4,3,1,5,2]=>[2,5,1,3,4]=>[3,1,2,4,5]=>[[1,2,4,5],[3]]
[4,3,2,1,5]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[1,3,4,5],[2]]
[4,3,2,5,1]=>[1,5,2,3,4]=>[2,1,3,4,5]=>[[1,3,4,5],[2]]
[4,3,5,1,2]=>[2,1,5,3,4]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]]
[4,3,5,2,1]=>[1,2,5,3,4]=>[2,3,1,4,5]=>[[1,3,4,5],[2]]
[4,5,1,2,3]=>[3,2,1,5,4]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]]
[4,5,1,3,2]=>[2,3,1,5,4]=>[3,4,2,1,5]=>[[1,4,5],[2],[3]]
[4,5,2,1,3]=>[3,1,2,5,4]=>[4,2,3,1,5]=>[[1,3,5],[2],[4]]
[4,5,2,3,1]=>[1,3,2,5,4]=>[2,4,3,1,5]=>[[1,3,5],[2],[4]]
[4,5,3,1,2]=>[2,1,3,5,4]=>[3,2,4,1,5]=>[[1,4,5],[2],[3]]
[4,5,3,2,1]=>[1,2,3,5,4]=>[2,3,4,1,5]=>[[1,3,4,5],[2]]
[5,1,2,3,4]=>[4,3,2,1,5]=>[1,5,4,3,2]=>[[1,2],[3],[4],[5]]
[5,1,2,4,3]=>[3,4,2,1,5]=>[1,4,5,3,2]=>[[1,2,5],[3],[4]]
[5,1,3,2,4]=>[4,2,3,1,5]=>[1,5,3,4,2]=>[[1,2,4],[3],[5]]
[5,1,3,4,2]=>[2,4,3,1,5]=>[1,3,5,4,2]=>[[1,2,4],[3],[5]]
[5,1,4,2,3]=>[3,2,4,1,5]=>[1,4,3,5,2]=>[[1,2,5],[3],[4]]
[5,1,4,3,2]=>[2,3,4,1,5]=>[1,3,4,5,2]=>[[1,2,4,5],[3]]
[5,2,1,3,4]=>[4,3,1,2,5]=>[1,5,4,2,3]=>[[1,2,3],[4],[5]]
[5,2,1,4,3]=>[3,4,1,2,5]=>[1,4,5,2,3]=>[[1,2,3],[4,5]]
[5,2,3,1,4]=>[4,1,3,2,5]=>[1,5,2,4,3]=>[[1,2,3],[4],[5]]
[5,2,3,4,1]=>[1,4,3,2,5]=>[1,2,5,4,3]=>[[1,2,3],[4],[5]]
[5,2,4,1,3]=>[3,1,4,2,5]=>[1,4,2,5,3]=>[[1,2,3],[4,5]]
[5,2,4,3,1]=>[1,3,4,2,5]=>[1,2,4,5,3]=>[[1,2,3,5],[4]]
[5,3,1,2,4]=>[4,2,1,3,5]=>[1,5,3,2,4]=>[[1,2,4],[3],[5]]
[5,3,1,4,2]=>[2,4,1,3,5]=>[1,3,5,2,4]=>[[1,2,4],[3,5]]
[5,3,2,1,4]=>[4,1,2,3,5]=>[1,5,2,3,4]=>[[1,2,3,4],[5]]
[5,3,2,4,1]=>[1,4,2,3,5]=>[1,2,5,3,4]=>[[1,2,3,4],[5]]
[5,3,4,1,2]=>[2,1,4,3,5]=>[1,3,2,5,4]=>[[1,2,4],[3,5]]
[5,3,4,2,1]=>[1,2,4,3,5]=>[1,2,3,5,4]=>[[1,2,3,4],[5]]
[5,4,1,2,3]=>[3,2,1,4,5]=>[1,4,3,2,5]=>[[1,2,5],[3],[4]]
[5,4,1,3,2]=>[2,3,1,4,5]=>[1,3,4,2,5]=>[[1,2,4,5],[3]]
[5,4,2,1,3]=>[3,1,2,4,5]=>[1,4,2,3,5]=>[[1,2,3,5],[4]]
[5,4,2,3,1]=>[1,3,2,4,5]=>[1,2,4,3,5]=>[[1,2,3,5],[4]]
[5,4,3,1,2]=>[2,1,3,4,5]=>[1,3,2,4,5]=>[[1,2,4,5],[3]]
[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[[1,2,3,4,5]]
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]
[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]
[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5]]
[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5]]
[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6]]
[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5]]
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]
[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6]]
[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]
[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6]]
[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6]]
[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>[4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6]]
[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5]]
[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5]]
[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4]]
[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>[4,1,5,6,3,2]=>[[1,2,6],[3,5],[4]]
[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5]]
[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>[4,5,1,6,3,2]=>[[1,2,6],[3,5],[4]]
[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6]]
[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5]]
[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>[6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6]]
[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]
[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>[5,4,6,1,3,2]=>[[1,2],[3,6],[4],[5]]
[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[4,5,6,1,3,2]=>[[1,2,6],[3,5],[4]]
[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]
[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6]]
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5]]
[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[5,1,6,3,4,2]=>[[1,2,4],[3,6],[5]]
[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6]]
[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[5,6,1,3,4,2]=>[[1,2,4],[3,6],[5]]
[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]
[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6]]
[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]
[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6]]
[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[6,3,1,5,4,2]=>[[1,2],[3,4],[5],[6]]
[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5]]
[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[5,1,3,6,4,2]=>[[1,2,4],[3,6],[5]]
[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>[3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5]]
[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>[3,1,5,6,4,2]=>[[1,2,6],[3,4],[5]]
[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[5,3,1,6,4,2]=>[[1,2],[3,4],[5,6]]
[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>[3,5,1,6,4,2]=>[[1,2,6],[3,4],[5]]
[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6]]
[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[5,6,3,1,4,2]=>[[1,2],[3,4],[5,6]]
[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6]]
[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>[3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6]]
[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>[5,3,6,1,4,2]=>[[1,2],[3,4],[5,6]]
[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>[3,5,6,1,4,2]=>[[1,2,6],[3,4],[5]]
[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6]]
[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6]]
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4]]
[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[4,1,6,3,5,2]=>[[1,2,5],[3,6],[4]]
[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[6,4,1,3,5,2]=>[[1,2,5],[3],[4],[6]]
[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>[4,6,1,3,5,2]=>[[1,2,5],[3,6],[4]]
[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6]]
[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[6,1,3,4,5,2]=>[[1,2,4,5],[3],[6]]
[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>[3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6]]
[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>[3,1,6,4,5,2]=>[[1,2,5],[3,4],[6]]
[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>[6,3,1,4,5,2]=>[[1,2,5],[3,4],[6]]
[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4]]
[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[4,1,3,6,5,2]=>[[1,2,5],[3,6],[4]]
[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>[3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6]]
[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>[3,1,4,6,5,2]=>[[1,2,5],[3,4],[6]]
[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[4,3,1,6,5,2]=>[[1,2],[3,5],[4,6]]
[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>[3,4,1,6,5,2]=>[[1,2,5],[3,4],[6]]
[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6]]
[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]
[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>[6,3,4,1,5,2]=>[[1,2,5],[3,4],[6]]
[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>[3,6,4,1,5,2]=>[[1,2,5],[3,4],[6]]
[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>[4,3,6,1,5,2]=>[[1,2],[3,5],[4,6]]
[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>[3,4,6,1,5,2]=>[[1,2,5],[3,4],[6]]
[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5]]
[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5]]
[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4]]
[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[4,1,5,3,6,2]=>[[1,2,6],[3,5],[4]]
[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5]]
[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>[4,5,1,3,6,2]=>[[1,2,6],[3,5],[4]]
[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>[5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5]]
[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>[5,1,3,4,6,2]=>[[1,2,4,6],[3],[5]]
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5]]
[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>[3,1,5,4,6,2]=>[[1,2,6],[3,4],[5]]
[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[5,3,1,4,6,2]=>[[1,2,6],[3,4],[5]]
[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>[3,5,1,4,6,2]=>[[1,2,6],[3,4],[5]]
[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>[4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4]]
[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>[4,1,3,5,6,2]=>[[1,2,5,6],[3],[4]]
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[3,4,5,6,2,1]=>[[1,4,5,6],[2],[3]]
[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>[3,1,4,5,6,2]=>[[1,2,5,6],[3,4]]
[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>[4,3,1,5,6,2]=>[[1,2,6],[3,5],[4]]
[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>[3,4,1,5,6,2]=>[[1,2,5,6],[3,4]]
[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5]]
[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[4,5,3,1,6,2]=>[[1,2,6],[3,5],[4]]
[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>[5,3,4,1,6,2]=>[[1,2,6],[3,4],[5]]
[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>[3,5,4,1,6,2]=>[[1,2,6],[3,4],[5]]
[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[4,3,5,1,6,2]=>[[1,2,6],[3,5],[4]]
[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>[3,4,5,1,6,2]=>[[1,2,5,6],[3,4]]
[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6]]
[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]
[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6]]
[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6]]
[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5]]
[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>[4,5,6,3,1,2]=>[[1,2,6],[3,5],[4]]
[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>[6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6]]
[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]
[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>[6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6]]
[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>[3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6]]
[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>[5,3,6,4,1,2]=>[[1,2],[3,4],[5,6]]
[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[3,5,6,4,1,2]=>[[1,2,6],[3,4],[5]]
[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>[6,4,3,5,1,2]=>[[1,2],[3,5],[4],[6]]
[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>[4,6,3,5,1,2]=>[[1,2],[3,5],[4,6]]
[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>[6,3,4,5,1,2]=>[[1,2,5],[3,4],[6]]
[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>[3,6,4,5,1,2]=>[[1,2,5],[3,4],[6]]
[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>[4,3,6,5,1,2]=>[[1,2],[3,5],[4,6]]
[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>[3,4,6,5,1,2]=>[[1,2,5],[3,4],[6]]
[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>[5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5]]
[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>[4,5,3,6,1,2]=>[[1,2,6],[3,5],[4]]
[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>[5,3,4,6,1,2]=>[[1,2,6],[3,4],[5]]
[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>[3,5,4,6,1,2]=>[[1,2,6],[3,4],[5]]
[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>[4,3,5,6,1,2]=>[[1,2,6],[3,5],[4]]
[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[3,4,5,6,1,2]=>[[1,2,5,6],[3,4]]
[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6]]
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6]]
[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5]]
[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[5,1,6,4,2,3]=>[[1,2,3],[4,6],[5]]
[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>[6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6]]
[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[5,6,1,4,2,3]=>[[1,2,3],[4,6],[5]]
[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[6,1,4,5,2,3]=>[[1,2,3],[4,5],[6]]
[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6]]
[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[4,1,6,5,2,3]=>[[1,2,3],[4,5],[6]]
[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>[6,4,1,5,2,3]=>[[1,2,3],[4,5],[6]]
[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>[4,6,1,5,2,3]=>[[1,2,3],[4,5],[6]]
[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>[5,4,6,2,3,1]=>[[1,3],[2,6],[4],[5]]
[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>[5,1,4,6,2,3]=>[[1,2,3],[4,6],[5]]
[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[4,5,6,2,3,1]=>[[1,3,6],[2,5],[4]]
[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>[4,1,5,6,2,3]=>[[1,2,3],[4,5,6]]
[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>[5,4,1,6,2,3]=>[[1,2,3],[4,6],[5]]
[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>[4,5,1,6,2,3]=>[[1,2,3],[4,5,6]]
[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>[6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6]]
[2,1,6,3,5,4]=>[4,5,3,6,1,2]=>[5,6,4,1,2,3]=>[[1,2,3],[4,6],[5]]
[2,1,6,4,3,5]=>[5,3,4,6,1,2]=>[6,4,5,1,2,3]=>[[1,2,3],[4,5],[6]]
[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[4,6,5,1,2,3]=>[[1,2,3],[4,5],[6]]
[2,1,6,5,3,4]=>[4,3,5,6,1,2]=>[5,4,6,1,2,3]=>[[1,2,3],[4,6],[5]]
[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]
[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6]]
[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6]]
[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[5,6,2,4,3,1]=>[[1,3],[2,6],[4],[5]]
[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[5,1,6,2,4,3]=>[[1,2,3],[4,6],[5]]
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6]]
[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>[5,6,1,2,4,3]=>[[1,2,3],[4,6],[5]]
[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]
[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6]]
[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]
[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]
[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>[6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6]]
[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>[2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6]]
[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>[5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5]]
[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>[5,1,2,6,4,3]=>[[1,2,3],[4,6],[5]]
[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>[2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5]]
[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>[2,1,5,6,4,3]=>[[1,3,6],[2,4],[5]]
[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>[5,2,1,6,4,3]=>[[1,3],[2,4],[5,6]]
[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>[2,5,1,6,4,3]=>[[1,3,6],[2,4],[5]]
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6]]
[2,3,6,1,5,4]=>[4,5,1,6,3,2]=>[5,6,2,1,4,3]=>[[1,3],[2,4],[5,6]]
[2,3,6,4,1,5]=>[5,1,4,6,3,2]=>[6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6]]
[2,3,6,4,5,1]=>[1,5,4,6,3,2]=>[2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6]]
[2,3,6,5,1,4]=>[4,1,5,6,3,2]=>[5,2,6,1,4,3]=>[[1,3],[2,4],[5,6]]
[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>[2,5,6,1,4,3]=>[[1,3,6],[2,4],[5]]
[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>[6,4,2,5,3,1]=>[[1,3],[2,5],[4],[6]]
[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>[6,1,4,2,5,3]=>[[1,2,3],[4,5],[6]]
[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>[4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6]]
[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>[4,1,6,2,5,3]=>[[1,2,3],[4,5],[6]]
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[6,4,1,2,5,3]=>[[1,2,3],[4,5],[6]]
[2,4,1,6,5,3]=>[3,5,6,1,4,2]=>[4,6,1,2,5,3]=>[[1,2,3],[4,5],[6]]
[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>[6,2,4,5,3,1]=>[[1,3,5],[2],[4],[6]]
[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>[6,1,2,4,5,3]=>[[1,2,3,5],[4],[6]]
[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>[2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6]]
[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]
[2,4,3,6,1,5]=>[5,1,6,3,4,2]=>[6,2,1,4,5,3]=>[[1,3,5],[2,4],[6]]
[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>[2,6,1,4,5,3]=>[[1,3,5],[2,4],[6]]
[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>[4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6]]
[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>[4,1,2,6,5,3]=>[[1,2,3],[4,5],[6]]
[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>[2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6]]
[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>[2,1,4,6,5,3]=>[[1,3,5],[2,4],[6]]
[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>[4,2,1,6,5,3]=>[[1,3],[2,5],[4,6]]
[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>[2,4,1,6,5,3]=>[[1,3,5],[2,4],[6]]
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6]]
[2,4,6,1,5,3]=>[3,5,1,6,4,2]=>[4,6,2,1,5,3]=>[[1,3],[2,5],[4,6]]
[2,4,6,3,1,5]=>[5,1,3,6,4,2]=>[6,2,4,1,5,3]=>[[1,3,5],[2,4],[6]]
[2,4,6,3,5,1]=>[1,5,3,6,4,2]=>[2,6,4,1,5,3]=>[[1,3,5],[2,4],[6]]
[2,4,6,5,1,3]=>[3,1,5,6,4,2]=>[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]
[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>[2,4,6,1,5,3]=>[[1,3,5],[2,4],[6]]
[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>[5,4,2,6,3,1]=>[[1,3],[2,6],[4],[5]]
[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>[[1,2,3],[4,6],[5]]
[2,5,1,4,3,6]=>[6,3,4,1,5,2]=>[4,5,2,6,3,1]=>[[1,3,6],[2,5],[4]]
[2,5,1,4,6,3]=>[3,6,4,1,5,2]=>[4,1,5,2,6,3]=>[[1,2,3],[4,5,6]]
[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>[5,4,1,2,6,3]=>[[1,2,3],[4,6],[5]]
[2,5,1,6,4,3]=>[3,4,6,1,5,2]=>[4,5,1,2,6,3]=>[[1,2,3],[4,5,6]]
[2,5,3,1,4,6]=>[6,4,1,3,5,2]=>[5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5]]
[2,5,3,1,6,4]=>[4,6,1,3,5,2]=>[5,1,2,4,6,3]=>[[1,2,3,6],[4],[5]]
[2,5,3,4,1,6]=>[6,1,4,3,5,2]=>[2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5]]
[2,5,3,4,6,1]=>[1,6,4,3,5,2]=>[2,1,5,4,6,3]=>[[1,3,6],[2,4],[5]]
[2,5,3,6,1,4]=>[4,1,6,3,5,2]=>[5,2,1,4,6,3]=>[[1,3,6],[2,4],[5]]
[2,5,3,6,4,1]=>[1,4,6,3,5,2]=>[2,5,1,4,6,3]=>[[1,3,6],[2,4],[5]]
[2,5,4,1,3,6]=>[6,3,1,4,5,2]=>[4,2,5,6,3,1]=>[[1,3,6],[2,5],[4]]
[2,5,4,1,6,3]=>[3,6,1,4,5,2]=>[4,1,2,5,6,3]=>[[1,2,3,6],[4,5]]
[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>[2,4,5,6,3,1]=>[[1,3,5,6],[2],[4]]
[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>[2,1,4,5,6,3]=>[[1,3,5,6],[2,4]]
[2,5,4,6,1,3]=>[3,1,6,4,5,2]=>[4,2,1,5,6,3]=>[[1,3,6],[2,5],[4]]
[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>[2,4,1,5,6,3]=>[[1,3,5,6],[2,4]]
[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>[5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5]]
[2,5,6,1,4,3]=>[3,4,1,6,5,2]=>[4,5,2,1,6,3]=>[[1,3,6],[2,5],[4]]
[2,5,6,3,1,4]=>[4,1,3,6,5,2]=>[5,2,4,1,6,3]=>[[1,3,6],[2,4],[5]]
[2,5,6,3,4,1]=>[1,4,3,6,5,2]=>[2,5,4,1,6,3]=>[[1,3,6],[2,4],[5]]
[2,5,6,4,1,3]=>[3,1,4,6,5,2]=>[4,2,5,1,6,3]=>[[1,3,6],[2,5],[4]]
[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>[2,4,5,1,6,3]=>[[1,3,5,6],[2,4]]
[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>[6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6]]
[2,6,1,3,5,4]=>[4,5,3,1,6,2]=>[5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5]]
[2,6,1,4,3,5]=>[5,3,4,1,6,2]=>[6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6]]
[2,6,1,4,5,3]=>[3,5,4,1,6,2]=>[4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6]]
[2,6,1,5,3,4]=>[4,3,5,1,6,2]=>[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]
[2,6,1,5,4,3]=>[3,4,5,1,6,2]=>[4,5,6,2,1,3]=>[[1,3,6],[2,5],[4]]
[2,6,3,1,4,5]=>[5,4,1,3,6,2]=>[6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6]]
[2,6,3,1,5,4]=>[4,5,1,3,6,2]=>[5,6,2,4,1,3]=>[[1,3],[2,4],[5,6]]
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6]]
[2,6,3,4,5,1]=>[1,5,4,3,6,2]=>[2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6]]
[2,6,3,5,1,4]=>[4,1,5,3,6,2]=>[5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]
[2,6,3,5,4,1]=>[1,4,5,3,6,2]=>[2,5,6,4,1,3]=>[[1,3,6],[2,4],[5]]
[2,6,4,1,3,5]=>[5,3,1,4,6,2]=>[6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6]]
[2,6,4,1,5,3]=>[3,5,1,4,6,2]=>[4,6,2,5,1,3]=>[[1,3],[2,5],[4,6]]
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[6,2,4,5,1,3]=>[[1,3,5],[2,4],[6]]
[2,6,4,3,5,1]=>[1,5,3,4,6,2]=>[2,6,4,5,1,3]=>[[1,3,5],[2,4],[6]]
[2,6,4,5,1,3]=>[3,1,5,4,6,2]=>[4,2,6,5,1,3]=>[[1,3],[2,5],[4,6]]
[2,6,4,5,3,1]=>[1,3,5,4,6,2]=>[2,4,6,5,1,3]=>[[1,3,5],[2,4],[6]]
[2,6,5,1,3,4]=>[4,3,1,5,6,2]=>[5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5]]
[2,6,5,1,4,3]=>[3,4,1,5,6,2]=>[4,5,2,6,1,3]=>[[1,3,6],[2,5],[4]]
[2,6,5,3,1,4]=>[4,1,3,5,6,2]=>[5,2,4,6,1,3]=>[[1,3,6],[2,4],[5]]
[2,6,5,3,4,1]=>[1,4,3,5,6,2]=>[2,5,4,6,1,3]=>[[1,3,6],[2,4],[5]]
[2,6,5,4,1,3]=>[3,1,4,5,6,2]=>[4,2,5,6,1,3]=>[[1,3,6],[2,5],[4]]
[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>[2,4,5,6,1,3]=>[[1,3,5,6],[2,4]]
[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6]]
[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>[6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6]]
[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>[5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5]]
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[5,1,6,3,2,4]=>[[1,2,4],[3,6],[5]]
[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>[6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6]]
[3,1,2,6,5,4]=>[4,5,6,2,1,3]=>[5,6,1,3,2,4]=>[[1,2,4],[3,6],[5]]
[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>[6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6]]
[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>[6,1,3,5,2,4]=>[[1,2,4],[3,5],[6]]
[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>[3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6]]
[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>[3,1,6,5,2,4]=>[[1,2,4],[3,5],[6]]
[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>[6,3,1,5,2,4]=>[[1,2,4],[3,5],[6]]
[3,1,4,6,5,2]=>[2,5,6,4,1,3]=>[3,6,1,5,2,4]=>[[1,2,4],[3,5],[6]]
[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>[5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5]]
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[5,1,3,6,2,4]=>[[1,2,4],[3,6],[5]]
[3,1,5,4,2,6]=>[6,2,4,5,1,3]=>[3,5,6,2,4,1]=>[[1,4,6],[2,5],[3]]
[3,1,5,4,6,2]=>[2,6,4,5,1,3]=>[3,1,5,6,2,4]=>[[1,2,4],[3,5,6]]
[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>[5,3,1,6,2,4]=>[[1,2,4],[3,6],[5]]
[3,1,5,6,4,2]=>[2,4,6,5,1,3]=>[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]
[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>[6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6]]
[3,1,6,2,5,4]=>[4,5,2,6,1,3]=>[5,6,3,1,2,4]=>[[1,2,4],[3,6],[5]]
[3,1,6,4,2,5]=>[5,2,4,6,1,3]=>[6,3,5,1,2,4]=>[[1,2,4],[3,5],[6]]
[3,1,6,4,5,2]=>[2,5,4,6,1,3]=>[3,6,5,1,2,4]=>[[1,2,4],[3,5],[6]]
[3,1,6,5,2,4]=>[4,2,5,6,1,3]=>[5,3,6,1,2,4]=>[[1,2,4],[3,6],[5]]
[3,1,6,5,4,2]=>[2,4,5,6,1,3]=>[3,5,6,1,2,4]=>[[1,2,4],[3,5,6]]
[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6]]
[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[6,1,5,2,3,4]=>[[1,2,3,4],[5],[6]]
[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[5,6,2,3,4,1]=>[[1,3,4],[2,6],[5]]
[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>[5,1,6,2,3,4]=>[[1,2,3,4],[5,6]]
[3,2,1,6,4,5]=>[5,4,6,1,2,3]=>[6,5,1,2,3,4]=>[[1,2,3,4],[5],[6]]
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[5,6,1,2,3,4]=>[[1,2,3,4],[5,6]]
[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6]]
[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>[6,1,2,5,3,4]=>[[1,2,3,4],[5],[6]]
[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[2,6,5,3,4,1]=>[[1,3,4],[2],[5],[6]]
[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[2,1,6,5,3,4]=>[[1,3,4],[2,5],[6]]
[3,2,4,6,1,5]=>[5,1,6,4,2,3]=>[6,2,1,5,3,4]=>[[1,3,4],[2,5],[6]]
[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>[2,6,1,5,3,4]=>[[1,3,4],[2,5],[6]]
[3,2,5,1,4,6]=>[6,4,1,5,2,3]=>[5,2,6,3,4,1]=>[[1,3,4],[2,6],[5]]
[3,2,5,1,6,4]=>[4,6,1,5,2,3]=>[5,1,2,6,3,4]=>[[1,2,3,4],[5,6]]
[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>[2,5,6,3,4,1]=>[[1,3,4],[2,6],[5]]
[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]
[3,2,5,6,1,4]=>[4,1,6,5,2,3]=>[5,2,1,6,3,4]=>[[1,3,4],[2,6],[5]]
[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>[2,5,1,6,3,4]=>[[1,3,4],[2,5,6]]
[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>[6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6]]
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[5,6,2,1,3,4]=>[[1,3,4],[2,6],[5]]
[3,2,6,4,1,5]=>[5,1,4,6,2,3]=>[6,2,5,1,3,4]=>[[1,3,4],[2,5],[6]]
[3,2,6,4,5,1]=>[1,5,4,6,2,3]=>[2,6,5,1,3,4]=>[[1,3,4],[2,5],[6]]
[3,2,6,5,1,4]=>[4,1,5,6,2,3]=>[5,2,6,1,3,4]=>[[1,3,4],[2,6],[5]]
[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>[2,5,6,1,3,4]=>[[1,3,4],[2,5,6]]
[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]
[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>[6,1,3,2,5,4]=>[[1,2,4],[3,5],[6]]
[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>[3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6]]
[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>[3,1,6,2,5,4]=>[[1,2,4],[3,5],[6]]
[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>[6,3,1,2,5,4]=>[[1,2,4],[3,5],[6]]
[3,4,1,6,5,2]=>[2,5,6,1,4,3]=>[3,6,1,2,5,4]=>[[1,2,4],[3,5],[6]]
[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]
[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>[6,1,2,3,5,4]=>[[1,2,3,4],[5],[6]]
[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6]]
[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[2,1,6,3,5,4]=>[[1,3,4],[2,5],[6]]
[3,4,2,6,1,5]=>[5,1,6,2,4,3]=>[6,2,1,3,5,4]=>[[1,3,4],[2,5],[6]]
[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>[2,6,1,3,5,4]=>[[1,3,4],[2,5],[6]]
[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>[3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6]]
[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>[3,1,2,6,5,4]=>[[1,2,4],[3,5],[6]]
[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6]]
[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]
[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]
[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[2,3,1,6,5,4]=>[[1,3,4],[2,5],[6]]
[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>[6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6]]
[3,4,6,1,5,2]=>[2,5,1,6,4,3]=>[3,6,2,1,5,4]=>[[1,4],[2,5],[3,6]]
[3,4,6,2,1,5]=>[5,1,2,6,4,3]=>[6,2,3,1,5,4]=>[[1,3,4],[2,5],[6]]
[3,4,6,2,5,1]=>[1,5,2,6,4,3]=>[2,6,3,1,5,4]=>[[1,3,4],[2,5],[6]]
[3,4,6,5,1,2]=>[2,1,5,6,4,3]=>[3,2,6,1,5,4]=>[[1,4],[2,5],[3,6]]
[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>[2,3,6,1,5,4]=>[[1,3,4],[2,5],[6]]
[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>[5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5]]
[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>[5,1,3,2,6,4]=>[[1,2,4],[3,6],[5]]
[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>[3,5,2,6,4,1]=>[[1,4,6],[2,5],[3]]
[3,5,1,4,6,2]=>[2,6,4,1,5,3]=>[3,1,5,2,6,4]=>[[1,2,4],[3,5,6]]
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[5,3,1,2,6,4]=>[[1,2,4],[3,6],[5]]
[3,5,1,6,4,2]=>[2,4,6,1,5,3]=>[3,5,1,2,6,4]=>[[1,2,4],[3,5,6]]
[3,5,2,1,4,6]=>[6,4,1,2,5,3]=>[5,2,3,6,4,1]=>[[1,3,4],[2,6],[5]]
[3,5,2,1,6,4]=>[4,6,1,2,5,3]=>[5,1,2,3,6,4]=>[[1,2,3,4],[5,6]]
[3,5,2,4,1,6]=>[6,1,4,2,5,3]=>[2,5,3,6,4,1]=>[[1,3,4],[2,6],[5]]
[3,5,2,4,6,1]=>[1,6,4,2,5,3]=>[2,1,5,3,6,4]=>[[1,3,4],[2,5,6]]
[3,5,2,6,1,4]=>[4,1,6,2,5,3]=>[5,2,1,3,6,4]=>[[1,3,4],[2,6],[5]]
[3,5,2,6,4,1]=>[1,4,6,2,5,3]=>[2,5,1,3,6,4]=>[[1,3,4],[2,5,6]]
[3,5,4,1,2,6]=>[6,2,1,4,5,3]=>[3,2,5,6,4,1]=>[[1,4,6],[2,5],[3]]
[3,5,4,1,6,2]=>[2,6,1,4,5,3]=>[3,1,2,5,6,4]=>[[1,2,4,6],[3,5]]
[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>[2,3,5,6,4,1]=>[[1,3,4,6],[2],[5]]
[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>[2,1,3,5,6,4]=>[[1,3,4,6],[2,5]]
[3,5,4,6,1,2]=>[2,1,6,4,5,3]=>[3,2,1,5,6,4]=>[[1,4,6],[2,5],[3]]
[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>[2,3,1,5,6,4]=>[[1,3,4,6],[2,5]]
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5]]
[3,5,6,1,4,2]=>[2,4,1,6,5,3]=>[3,5,2,1,6,4]=>[[1,4,6],[2,5],[3]]
[3,5,6,2,1,4]=>[4,1,2,6,5,3]=>[5,2,3,1,6,4]=>[[1,3,4],[2,6],[5]]
[3,5,6,2,4,1]=>[1,4,2,6,5,3]=>[2,5,3,1,6,4]=>[[1,3,4],[2,6],[5]]
[3,5,6,4,1,2]=>[2,1,4,6,5,3]=>[3,2,5,1,6,4]=>[[1,4,6],[2,5],[3]]
[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>[2,3,5,1,6,4]=>[[1,3,4,6],[2,5]]
[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>[6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6]]
[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>[5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5]]
[3,6,1,4,2,5]=>[5,2,4,1,6,3]=>[6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6]]
[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6]]
[3,6,1,5,2,4]=>[4,2,5,1,6,3]=>[5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5]]
[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[3,5,6,2,1,4]=>[[1,4,6],[2,5],[3]]
[3,6,2,1,4,5]=>[5,4,1,2,6,3]=>[6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6]]
[3,6,2,1,5,4]=>[4,5,1,2,6,3]=>[5,6,2,3,1,4]=>[[1,3,4],[2,6],[5]]
[3,6,2,4,1,5]=>[5,1,4,2,6,3]=>[6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6]]
[3,6,2,4,5,1]=>[1,5,4,2,6,3]=>[2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6]]
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[5,2,6,3,1,4]=>[[1,3,4],[2,6],[5]]
[3,6,2,5,4,1]=>[1,4,5,2,6,3]=>[2,5,6,3,1,4]=>[[1,3,4],[2,6],[5]]
[3,6,4,1,2,5]=>[5,2,1,4,6,3]=>[6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6]]
[3,6,4,1,5,2]=>[2,5,1,4,6,3]=>[3,6,2,5,1,4]=>[[1,4],[2,5],[3,6]]
[3,6,4,2,1,5]=>[5,1,2,4,6,3]=>[6,2,3,5,1,4]=>[[1,3,4],[2,5],[6]]
[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>[2,6,3,5,1,4]=>[[1,3,4],[2,5],[6]]
[3,6,4,5,1,2]=>[2,1,5,4,6,3]=>[3,2,6,5,1,4]=>[[1,4],[2,5],[3,6]]
[3,6,4,5,2,1]=>[1,2,5,4,6,3]=>[2,3,6,5,1,4]=>[[1,3,4],[2,5],[6]]
[3,6,5,1,2,4]=>[4,2,1,5,6,3]=>[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]
[3,6,5,1,4,2]=>[2,4,1,5,6,3]=>[3,5,2,6,1,4]=>[[1,4,6],[2,5],[3]]
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]
[3,6,5,2,4,1]=>[1,4,2,5,6,3]=>[2,5,3,6,1,4]=>[[1,3,4],[2,6],[5]]
[3,6,5,4,1,2]=>[2,1,4,5,6,3]=>[3,2,5,6,1,4]=>[[1,4,6],[2,5],[3]]
[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>[2,3,5,6,1,4]=>[[1,3,4,6],[2,5]]
[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]
[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>[6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6]]
[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>[4,6,3,2,5,1]=>[[1,5],[2,6],[3],[4]]
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[4,1,6,3,2,5]=>[[1,2,5],[3,6],[4]]
[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>[6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6]]
[4,1,2,6,5,3]=>[3,5,6,2,1,4]=>[4,6,1,3,2,5]=>[[1,2,5],[3,6],[4]]
[4,1,3,2,5,6]=>[6,5,2,3,1,4]=>[6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6]]
[4,1,3,2,6,5]=>[5,6,2,3,1,4]=>[6,1,3,4,2,5]=>[[1,2,4,5],[3],[6]]
[4,1,3,5,2,6]=>[6,2,5,3,1,4]=>[3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6]]
[4,1,3,5,6,2]=>[2,6,5,3,1,4]=>[3,1,6,4,2,5]=>[[1,2,5],[3,4],[6]]
[4,1,3,6,2,5]=>[5,2,6,3,1,4]=>[6,3,1,4,2,5]=>[[1,2,5],[3,4],[6]]
[4,1,3,6,5,2]=>[2,5,6,3,1,4]=>[3,6,1,4,2,5]=>[[1,2,5],[3,4],[6]]
[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>[4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4]]
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[4,1,3,6,2,5]=>[[1,2,5],[3,6],[4]]
[4,1,5,3,2,6]=>[6,2,3,5,1,4]=>[3,4,6,2,5,1]=>[[1,4,5],[2,6],[3]]
[4,1,5,3,6,2]=>[2,6,3,5,1,4]=>[3,1,4,6,2,5]=>[[1,2,5],[3,4,6]]
[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>[4,3,1,6,2,5]=>[[1,2,5],[3,6],[4]]
[4,1,5,6,3,2]=>[2,3,6,5,1,4]=>[3,4,1,6,2,5]=>[[1,2,5],[3,4,6]]
[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>[6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6]]
[4,1,6,2,5,3]=>[3,5,2,6,1,4]=>[4,6,3,1,2,5]=>[[1,2,5],[3,6],[4]]
[4,1,6,3,2,5]=>[5,2,3,6,1,4]=>[6,3,4,1,2,5]=>[[1,2,5],[3,4],[6]]
[4,1,6,3,5,2]=>[2,5,3,6,1,4]=>[3,6,4,1,2,5]=>[[1,2,5],[3,4],[6]]
[4,1,6,5,2,3]=>[3,2,5,6,1,4]=>[4,3,6,1,2,5]=>[[1,2,5],[3,6],[4]]
[4,1,6,5,3,2]=>[2,3,5,6,1,4]=>[3,4,6,1,2,5]=>[[1,2,5],[3,4,6]]
[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>[6,4,2,3,5,1]=>[[1,3,5],[2],[4],[6]]
[4,2,1,3,6,5]=>[5,6,3,1,2,4]=>[6,1,4,2,3,5]=>[[1,2,3,5],[4],[6]]
[4,2,1,5,3,6]=>[6,3,5,1,2,4]=>[4,6,2,3,5,1]=>[[1,3,5],[2,6],[4]]
[4,2,1,5,6,3]=>[3,6,5,1,2,4]=>[4,1,6,2,3,5]=>[[1,2,3,5],[4,6]]
[4,2,1,6,3,5]=>[5,3,6,1,2,4]=>[6,4,1,2,3,5]=>[[1,2,3,5],[4],[6]]
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[4,6,1,2,3,5]=>[[1,2,3,5],[4,6]]
[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]
[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[6,1,2,4,3,5]=>[[1,2,3,5],[4],[6]]
[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>[2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6]]
[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>[2,1,6,4,3,5]=>[[1,3,5],[2,4],[6]]
[4,2,3,6,1,5]=>[5,1,6,3,2,4]=>[6,2,1,4,3,5]=>[[1,3,5],[2,4],[6]]
[4,2,3,6,5,1]=>[1,5,6,3,2,4]=>[2,6,1,4,3,5]=>[[1,3,5],[2,4],[6]]
[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[4,2,6,3,5,1]=>[[1,3,5],[2,6],[4]]
[4,2,5,1,6,3]=>[3,6,1,5,2,4]=>[4,1,2,6,3,5]=>[[1,2,3,5],[4,6]]
[4,2,5,3,1,6]=>[6,1,3,5,2,4]=>[2,4,6,3,5,1]=>[[1,3,5],[2,6],[4]]
[4,2,5,3,6,1]=>[1,6,3,5,2,4]=>[2,1,4,6,3,5]=>[[1,3,5],[2,4,6]]
[4,2,5,6,1,3]=>[3,1,6,5,2,4]=>[4,2,1,6,3,5]=>[[1,3,5],[2,6],[4]]
[4,2,5,6,3,1]=>[1,3,6,5,2,4]=>[2,4,1,6,3,5]=>[[1,3,5],[2,4,6]]
[4,2,6,1,3,5]=>[5,3,1,6,2,4]=>[6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6]]
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[4,6,2,1,3,5]=>[[1,3,5],[2,6],[4]]
[4,2,6,3,1,5]=>[5,1,3,6,2,4]=>[6,2,4,1,3,5]=>[[1,3,5],[2,4],[6]]
[4,2,6,3,5,1]=>[1,5,3,6,2,4]=>[2,6,4,1,3,5]=>[[1,3,5],[2,4],[6]]
[4,2,6,5,1,3]=>[3,1,5,6,2,4]=>[4,2,6,1,3,5]=>[[1,3,5],[2,6],[4]]
[4,2,6,5,3,1]=>[1,3,5,6,2,4]=>[2,4,6,1,3,5]=>[[1,3,5],[2,4,6]]
[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]
[4,3,1,2,6,5]=>[5,6,2,1,3,4]=>[6,1,3,2,4,5]=>[[1,2,4,5],[3],[6]]
[4,3,1,5,2,6]=>[6,2,5,1,3,4]=>[3,6,2,4,5,1]=>[[1,4,5],[2,6],[3]]
[4,3,1,5,6,2]=>[2,6,5,1,3,4]=>[3,1,6,2,4,5]=>[[1,2,4,5],[3,6]]
[4,3,1,6,2,5]=>[5,2,6,1,3,4]=>[6,3,1,2,4,5]=>[[1,2,4,5],[3],[6]]
[4,3,1,6,5,2]=>[2,5,6,1,3,4]=>[3,6,1,2,4,5]=>[[1,2,4,5],[3,6]]
[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]
[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[6,1,2,3,4,5]=>[[1,2,3,4,5],[6]]
[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[2,6,3,4,5,1]=>[[1,3,4,5],[2],[6]]
[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[2,1,6,3,4,5]=>[[1,3,4,5],[2,6]]
[4,3,2,6,1,5]=>[5,1,6,2,3,4]=>[6,2,1,3,4,5]=>[[1,3,4,5],[2],[6]]
[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>[2,6,1,3,4,5]=>[[1,3,4,5],[2,6]]
[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>[3,2,6,4,5,1]=>[[1,4,5],[2,6],[3]]
[4,3,5,1,6,2]=>[2,6,1,5,3,4]=>[3,1,2,6,4,5]=>[[1,2,4,5],[3,6]]
[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[2,3,6,4,5,1]=>[[1,3,4,5],[2],[6]]
[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[2,1,3,6,4,5]=>[[1,3,4,5],[2,6]]
[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>[3,2,1,6,4,5]=>[[1,4,5],[2,6],[3]]
[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[2,3,1,6,4,5]=>[[1,3,4,5],[2,6]]
[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>[6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6]]
[4,3,6,1,5,2]=>[2,5,1,6,3,4]=>[3,6,2,1,4,5]=>[[1,4,5],[2,6],[3]]
[4,3,6,2,1,5]=>[5,1,2,6,3,4]=>[6,2,3,1,4,5]=>[[1,3,4,5],[2],[6]]
[4,3,6,2,5,1]=>[1,5,2,6,3,4]=>[2,6,3,1,4,5]=>[[1,3,4,5],[2],[6]]
[4,3,6,5,1,2]=>[2,1,5,6,3,4]=>[3,2,6,1,4,5]=>[[1,4,5],[2,6],[3]]
[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>[2,3,6,1,4,5]=>[[1,3,4,5],[2,6]]
[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4]]
[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>[4,1,3,2,6,5]=>[[1,2,5],[3,6],[4]]
[4,5,1,3,2,6]=>[6,2,3,1,5,4]=>[3,4,2,6,5,1]=>[[1,4,5],[2,6],[3]]
[4,5,1,3,6,2]=>[2,6,3,1,5,4]=>[3,1,4,2,6,5]=>[[1,2,5],[3,4,6]]
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[4,3,1,2,6,5]=>[[1,2,5],[3,6],[4]]
[4,5,1,6,3,2]=>[2,3,6,1,5,4]=>[3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]
[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>[4,2,3,6,5,1]=>[[1,3,5],[2,6],[4]]
[4,5,2,1,6,3]=>[3,6,1,2,5,4]=>[4,1,2,3,6,5]=>[[1,2,3,5],[4,6]]
[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>[2,4,3,6,5,1]=>[[1,3,5],[2,6],[4]]
[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]
[4,5,2,6,1,3]=>[3,1,6,2,5,4]=>[4,2,1,3,6,5]=>[[1,3,5],[2,6],[4]]
[4,5,2,6,3,1]=>[1,3,6,2,5,4]=>[2,4,1,3,6,5]=>[[1,3,5],[2,4,6]]
[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[3,2,4,6,5,1]=>[[1,4,5],[2,6],[3]]
[4,5,3,1,6,2]=>[2,6,1,3,5,4]=>[3,1,2,4,6,5]=>[[1,2,4,5],[3,6]]
[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[2,3,4,6,5,1]=>[[1,3,4,5],[2],[6]]
[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]
[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]
[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[2,3,1,4,6,5]=>[[1,3,4,5],[2,6]]
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]
[4,5,6,1,3,2]=>[2,3,1,6,5,4]=>[3,4,2,1,6,5]=>[[1,4,5],[2,6],[3]]
[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]
[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>[2,4,3,1,6,5]=>[[1,3,5],[2,6],[4]]
[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>[3,2,4,1,6,5]=>[[1,4,5],[2,6],[3]]
[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>[[1,3,4,5],[2,6]]
[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>[6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6]]
[4,6,1,2,5,3]=>[3,5,2,1,6,4]=>[4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4]]
[4,6,1,3,2,5]=>[5,2,3,1,6,4]=>[6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6]]
[4,6,1,3,5,2]=>[2,5,3,1,6,4]=>[3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6]]
[4,6,1,5,2,3]=>[3,2,5,1,6,4]=>[4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4]]
[4,6,1,5,3,2]=>[2,3,5,1,6,4]=>[3,4,6,2,1,5]=>[[1,4,5],[2,6],[3]]
[4,6,2,1,3,5]=>[5,3,1,2,6,4]=>[6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6]]
[4,6,2,1,5,3]=>[3,5,1,2,6,4]=>[4,6,2,3,1,5]=>[[1,3,5],[2,6],[4]]
[4,6,2,3,1,5]=>[5,1,3,2,6,4]=>[6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6]]
[4,6,2,3,5,1]=>[1,5,3,2,6,4]=>[2,6,4,3,1,5]=>[[1,3,5],[2],[4],[6]]
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[4,2,6,3,1,5]=>[[1,3,5],[2,6],[4]]
[4,6,2,5,3,1]=>[1,3,5,2,6,4]=>[2,4,6,3,1,5]=>[[1,3,5],[2,6],[4]]
[4,6,3,1,2,5]=>[5,2,1,3,6,4]=>[6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6]]
[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[3,6,2,4,1,5]=>[[1,4,5],[2,6],[3]]
[4,6,3,2,1,5]=>[5,1,2,3,6,4]=>[6,2,3,4,1,5]=>[[1,3,4,5],[2],[6]]
[4,6,3,2,5,1]=>[1,5,2,3,6,4]=>[2,6,3,4,1,5]=>[[1,3,4,5],[2],[6]]
[4,6,3,5,1,2]=>[2,1,5,3,6,4]=>[3,2,6,4,1,5]=>[[1,4,5],[2,6],[3]]
[4,6,3,5,2,1]=>[1,2,5,3,6,4]=>[2,3,6,4,1,5]=>[[1,3,4,5],[2],[6]]
[4,6,5,1,2,3]=>[3,2,1,5,6,4]=>[4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4]]
[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[3,4,2,6,1,5]=>[[1,4,5],[2,6],[3]]
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[4,2,3,6,1,5]=>[[1,3,5],[2,6],[4]]
[4,6,5,2,3,1]=>[1,3,2,5,6,4]=>[2,4,3,6,1,5]=>[[1,3,5],[2,6],[4]]
[4,6,5,3,1,2]=>[2,1,3,5,6,4]=>[3,2,4,6,1,5]=>[[1,4,5],[2,6],[3]]
[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]=>[[1,3,4,5],[2,6]]
[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5]]
[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>[5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5]]
[5,1,2,4,3,6]=>[6,3,4,2,1,5]=>[4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4]]
[5,1,2,4,6,3]=>[3,6,4,2,1,5]=>[4,1,5,3,2,6]=>[[1,2,6],[3,5],[4]]
[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>[5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5]]
[5,1,2,6,4,3]=>[3,4,6,2,1,5]=>[4,5,1,3,2,6]=>[[1,2,6],[3,5],[4]]
[5,1,3,2,4,6]=>[6,4,2,3,1,5]=>[5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5]]
[5,1,3,2,6,4]=>[4,6,2,3,1,5]=>[5,1,3,4,2,6]=>[[1,2,4,6],[3],[5]]
[5,1,3,4,2,6]=>[6,2,4,3,1,5]=>[3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5]]
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[3,1,5,4,2,6]=>[[1,2,6],[3,4],[5]]
[5,1,3,6,2,4]=>[4,2,6,3,1,5]=>[5,3,1,4,2,6]=>[[1,2,6],[3,4],[5]]
[5,1,3,6,4,2]=>[2,4,6,3,1,5]=>[3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]
[5,1,4,2,3,6]=>[6,3,2,4,1,5]=>[4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4]]
[5,1,4,2,6,3]=>[3,6,2,4,1,5]=>[4,1,3,5,2,6]=>[[1,2,5,6],[3],[4]]
[5,1,4,3,2,6]=>[6,2,3,4,1,5]=>[3,4,5,2,6,1]=>[[1,4,5,6],[2],[3]]
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[3,1,4,5,2,6]=>[[1,2,5,6],[3,4]]
[5,1,4,6,2,3]=>[3,2,6,4,1,5]=>[4,3,1,5,2,6]=>[[1,2,6],[3,5],[4]]
[5,1,4,6,3,2]=>[2,3,6,4,1,5]=>[3,4,1,5,2,6]=>[[1,2,5,6],[3,4]]
[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>[5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5]]
[5,1,6,2,4,3]=>[3,4,2,6,1,5]=>[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]
[5,1,6,3,2,4]=>[4,2,3,6,1,5]=>[5,3,4,1,2,6]=>[[1,2,6],[3,4],[5]]
[5,1,6,3,4,2]=>[2,4,3,6,1,5]=>[3,5,4,1,2,6]=>[[1,2,6],[3,4],[5]]
[5,1,6,4,2,3]=>[3,2,4,6,1,5]=>[4,3,5,1,2,6]=>[[1,2,6],[3,5],[4]]
[5,1,6,4,3,2]=>[2,3,4,6,1,5]=>[3,4,5,1,2,6]=>[[1,2,5,6],[3,4]]
[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>[5,4,2,3,6,1]=>[[1,3,6],[2],[4],[5]]
[5,2,1,3,6,4]=>[4,6,3,1,2,5]=>[5,1,4,2,3,6]=>[[1,2,3,6],[4],[5]]
[5,2,1,4,3,6]=>[6,3,4,1,2,5]=>[4,5,2,3,6,1]=>[[1,3,6],[2,5],[4]]
[5,2,1,4,6,3]=>[3,6,4,1,2,5]=>[4,1,5,2,3,6]=>[[1,2,3,6],[4,5]]
[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>[5,4,1,2,3,6]=>[[1,2,3,6],[4],[5]]
[5,2,1,6,4,3]=>[3,4,6,1,2,5]=>[4,5,1,2,3,6]=>[[1,2,3,6],[4,5]]
[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>[5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5]]
[5,2,3,1,6,4]=>[4,6,1,3,2,5]=>[5,1,2,4,3,6]=>[[1,2,3,6],[4],[5]]
[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5]]
[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]
[5,2,3,6,1,4]=>[4,1,6,3,2,5]=>[5,2,1,4,3,6]=>[[1,3,6],[2,4],[5]]
[5,2,3,6,4,1]=>[1,4,6,3,2,5]=>[2,5,1,4,3,6]=>[[1,3,6],[2,4],[5]]
[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>[4,2,5,3,6,1]=>[[1,3,6],[2,5],[4]]
[5,2,4,1,6,3]=>[3,6,1,4,2,5]=>[4,1,2,5,3,6]=>[[1,2,3,6],[4,5]]
[5,2,4,3,1,6]=>[6,1,3,4,2,5]=>[2,4,5,3,6,1]=>[[1,3,5,6],[2],[4]]
[5,2,4,3,6,1]=>[1,6,3,4,2,5]=>[2,1,4,5,3,6]=>[[1,3,5,6],[2,4]]
[5,2,4,6,1,3]=>[3,1,6,4,2,5]=>[4,2,1,5,3,6]=>[[1,3,6],[2,5],[4]]
[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>[2,4,1,5,3,6]=>[[1,3,5,6],[2,4]]
[5,2,6,1,3,4]=>[4,3,1,6,2,5]=>[5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5]]
[5,2,6,1,4,3]=>[3,4,1,6,2,5]=>[4,5,2,1,3,6]=>[[1,3,6],[2,5],[4]]
[5,2,6,3,1,4]=>[4,1,3,6,2,5]=>[5,2,4,1,3,6]=>[[1,3,6],[2,4],[5]]
[5,2,6,3,4,1]=>[1,4,3,6,2,5]=>[2,5,4,1,3,6]=>[[1,3,6],[2,4],[5]]
[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]
[5,2,6,4,3,1]=>[1,3,4,6,2,5]=>[2,4,5,1,3,6]=>[[1,3,5,6],[2,4]]
[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>[5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5]]
[5,3,1,2,6,4]=>[4,6,2,1,3,5]=>[5,1,3,2,4,6]=>[[1,2,4,6],[3],[5]]
[5,3,1,4,2,6]=>[6,2,4,1,3,5]=>[3,5,2,4,6,1]=>[[1,4,6],[2,5],[3]]
[5,3,1,4,6,2]=>[2,6,4,1,3,5]=>[3,1,5,2,4,6]=>[[1,2,4,6],[3,5]]
[5,3,1,6,2,4]=>[4,2,6,1,3,5]=>[5,3,1,2,4,6]=>[[1,2,4,6],[3],[5]]
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[3,5,1,2,4,6]=>[[1,2,4,6],[3,5]]
[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>[5,2,3,4,6,1]=>[[1,3,4,6],[2],[5]]
[5,3,2,1,6,4]=>[4,6,1,2,3,5]=>[5,1,2,3,4,6]=>[[1,2,3,4,6],[5]]
[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[2,5,3,4,6,1]=>[[1,3,4,6],[2],[5]]
[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>[2,1,5,3,4,6]=>[[1,3,4,6],[2,5]]
[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[5,2,1,3,4,6]=>[[1,3,4,6],[2],[5]]
[5,3,2,6,4,1]=>[1,4,6,2,3,5]=>[2,5,1,3,4,6]=>[[1,3,4,6],[2,5]]
[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>[3,2,5,4,6,1]=>[[1,4,6],[2,5],[3]]
[5,3,4,1,6,2]=>[2,6,1,4,3,5]=>[3,1,2,5,4,6]=>[[1,2,4,6],[3,5]]
[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>[2,3,5,4,6,1]=>[[1,3,4,6],[2],[5]]
[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]
[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]
[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>[2,3,1,5,4,6]=>[[1,3,4,6],[2,5]]
[5,3,6,1,2,4]=>[4,2,1,6,3,5]=>[5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5]]
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[3,5,2,1,4,6]=>[[1,4,6],[2,5],[3]]
[5,3,6,2,1,4]=>[4,1,2,6,3,5]=>[5,2,3,1,4,6]=>[[1,3,4,6],[2],[5]]
[5,3,6,2,4,1]=>[1,4,2,6,3,5]=>[2,5,3,1,4,6]=>[[1,3,4,6],[2],[5]]
[5,3,6,4,1,2]=>[2,1,4,6,3,5]=>[3,2,5,1,4,6]=>[[1,4,6],[2,5],[3]]
[5,3,6,4,2,1]=>[1,2,4,6,3,5]=>[2,3,5,1,4,6]=>[[1,3,4,6],[2,5]]
[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>[4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4]]
[5,4,1,2,6,3]=>[3,6,2,1,4,5]=>[4,1,3,2,5,6]=>[[1,2,5,6],[3],[4]]
[5,4,1,3,2,6]=>[6,2,3,1,4,5]=>[3,4,2,5,6,1]=>[[1,4,5,6],[2],[3]]
[5,4,1,3,6,2]=>[2,6,3,1,4,5]=>[3,1,4,2,5,6]=>[[1,2,5,6],[3,4]]
[5,4,1,6,2,3]=>[3,2,6,1,4,5]=>[4,3,1,2,5,6]=>[[1,2,5,6],[3],[4]]
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]
[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>[4,2,3,5,6,1]=>[[1,3,5,6],[2],[4]]
[5,4,2,1,6,3]=>[3,6,1,2,4,5]=>[4,1,2,3,5,6]=>[[1,2,3,5,6],[4]]
[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>[2,4,3,5,6,1]=>[[1,3,5,6],[2],[4]]
[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]
[5,4,2,6,1,3]=>[3,1,6,2,4,5]=>[4,2,1,3,5,6]=>[[1,3,5,6],[2],[4]]
[5,4,2,6,3,1]=>[1,3,6,2,4,5]=>[2,4,1,3,5,6]=>[[1,3,5,6],[2,4]]
[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>[[1,4,5,6],[2],[3]]
[5,4,3,1,6,2]=>[2,6,1,3,4,5]=>[3,1,2,4,5,6]=>[[1,2,4,5,6],[3]]
[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[1,3,4,5,6],[2]]
[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]
[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]
[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[2,3,1,4,5,6]=>[[1,3,4,5,6],[2]]
[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[3,4,2,1,5,6]=>[[1,4,5,6],[2],[3]]
[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]
[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>[2,4,3,1,5,6]=>[[1,3,5,6],[2],[4]]
[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>[3,2,4,1,5,6]=>[[1,4,5,6],[2],[3]]
[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[2,3,4,1,5,6]=>[[1,3,4,5,6],[2]]
[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]
[5,6,1,2,4,3]=>[3,4,2,1,6,5]=>[4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4]]
[5,6,1,3,2,4]=>[4,2,3,1,6,5]=>[5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5]]
[5,6,1,3,4,2]=>[2,4,3,1,6,5]=>[3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5]]
[5,6,1,4,2,3]=>[3,2,4,1,6,5]=>[4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4]]
[5,6,1,4,3,2]=>[2,3,4,1,6,5]=>[3,4,5,2,1,6]=>[[1,4,5,6],[2],[3]]
[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>[5,4,2,3,1,6]=>[[1,3,6],[2],[4],[5]]
[5,6,2,1,4,3]=>[3,4,1,2,6,5]=>[4,5,2,3,1,6]=>[[1,3,6],[2,5],[4]]
[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]
[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5]]
[5,6,2,4,1,3]=>[3,1,4,2,6,5]=>[4,2,5,3,1,6]=>[[1,3,6],[2,5],[4]]
[5,6,2,4,3,1]=>[1,3,4,2,6,5]=>[2,4,5,3,1,6]=>[[1,3,5,6],[2],[4]]
[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]
[5,6,3,1,4,2]=>[2,4,1,3,6,5]=>[3,5,2,4,1,6]=>[[1,4,6],[2,5],[3]]
[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]
[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>[2,5,3,4,1,6]=>[[1,3,4,6],[2],[5]]
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[3,2,5,4,1,6]=>[[1,4,6],[2,5],[3]]
[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>[[1,3,4,6],[2],[5]]
[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>[4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4]]
[5,6,4,1,3,2]=>[2,3,1,4,6,5]=>[3,4,2,5,1,6]=>[[1,4,5,6],[2],[3]]
[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>[4,2,3,5,1,6]=>[[1,3,5,6],[2],[4]]
[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>[[1,3,5,6],[2],[4]]
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[3,2,4,5,1,6]=>[[1,4,5,6],[2],[3]]
[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[[1,3,4,5,6],[2]]
[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]
[6,1,2,3,5,4]=>[4,5,3,2,1,6]=>[1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5]]
[6,1,2,4,3,5]=>[5,3,4,2,1,6]=>[1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6]]
[6,1,2,4,5,3]=>[3,5,4,2,1,6]=>[1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6]]
[6,1,2,5,3,4]=>[4,3,5,2,1,6]=>[1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5]]
[6,1,2,5,4,3]=>[3,4,5,2,1,6]=>[1,4,5,6,3,2]=>[[1,2,5,6],[3],[4]]
[6,1,3,2,4,5]=>[5,4,2,3,1,6]=>[1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6]]
[6,1,3,2,5,4]=>[4,5,2,3,1,6]=>[1,5,6,3,4,2]=>[[1,2,4],[3,6],[5]]
[6,1,3,4,2,5]=>[5,2,4,3,1,6]=>[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]
[6,1,3,4,5,2]=>[2,5,4,3,1,6]=>[1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6]]
[6,1,3,5,2,4]=>[4,2,5,3,1,6]=>[1,5,3,6,4,2]=>[[1,2,4],[3,6],[5]]
[6,1,3,5,4,2]=>[2,4,5,3,1,6]=>[1,3,5,6,4,2]=>[[1,2,4,6],[3],[5]]
[6,1,4,2,3,5]=>[5,3,2,4,1,6]=>[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]
[6,1,4,2,5,3]=>[3,5,2,4,1,6]=>[1,4,6,3,5,2]=>[[1,2,5],[3,6],[4]]
[6,1,4,3,2,5]=>[5,2,3,4,1,6]=>[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]
[6,1,4,3,5,2]=>[2,5,3,4,1,6]=>[1,3,6,4,5,2]=>[[1,2,4,5],[3],[6]]
[6,1,4,5,2,3]=>[3,2,5,4,1,6]=>[1,4,3,6,5,2]=>[[1,2,5],[3,6],[4]]
[6,1,4,5,3,2]=>[2,3,5,4,1,6]=>[1,3,4,6,5,2]=>[[1,2,4,5],[3],[6]]
[6,1,5,2,3,4]=>[4,3,2,5,1,6]=>[1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5]]
[6,1,5,2,4,3]=>[3,4,2,5,1,6]=>[1,4,5,3,6,2]=>[[1,2,5,6],[3],[4]]
[6,1,5,3,2,4]=>[4,2,3,5,1,6]=>[1,5,3,4,6,2]=>[[1,2,4,6],[3],[5]]
[6,1,5,3,4,2]=>[2,4,3,5,1,6]=>[1,3,5,4,6,2]=>[[1,2,4,6],[3],[5]]
[6,1,5,4,2,3]=>[3,2,4,5,1,6]=>[1,4,3,5,6,2]=>[[1,2,5,6],[3],[4]]
[6,1,5,4,3,2]=>[2,3,4,5,1,6]=>[1,3,4,5,6,2]=>[[1,2,4,5,6],[3]]
[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>[1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6]]
[6,2,1,3,5,4]=>[4,5,3,1,2,6]=>[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]
[6,2,1,4,3,5]=>[5,3,4,1,2,6]=>[1,6,4,5,2,3]=>[[1,2,3],[4,5],[6]]
[6,2,1,4,5,3]=>[3,5,4,1,2,6]=>[1,4,6,5,2,3]=>[[1,2,3],[4,5],[6]]
[6,2,1,5,3,4]=>[4,3,5,1,2,6]=>[1,5,4,6,2,3]=>[[1,2,3],[4,6],[5]]
[6,2,1,5,4,3]=>[3,4,5,1,2,6]=>[1,4,5,6,2,3]=>[[1,2,3,6],[4,5]]
[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>[1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6]]
[6,2,3,1,5,4]=>[4,5,1,3,2,6]=>[1,5,6,2,4,3]=>[[1,2,3],[4,6],[5]]
[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>[1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6]]
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]
[6,2,3,5,1,4]=>[4,1,5,3,2,6]=>[1,5,2,6,4,3]=>[[1,2,3],[4,6],[5]]
[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[1,2,5,6,4,3]=>[[1,2,3,6],[4],[5]]
[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>[1,6,4,2,5,3]=>[[1,2,3],[4,5],[6]]
[6,2,4,1,5,3]=>[3,5,1,4,2,6]=>[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]
[6,2,4,3,1,5]=>[5,1,3,4,2,6]=>[1,6,2,4,5,3]=>[[1,2,3,5],[4],[6]]
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]
[6,2,4,5,1,3]=>[3,1,5,4,2,6]=>[1,4,2,6,5,3]=>[[1,2,3],[4,5],[6]]
[6,2,4,5,3,1]=>[1,3,5,4,2,6]=>[1,2,4,6,5,3]=>[[1,2,3,5],[4],[6]]
[6,2,5,1,3,4]=>[4,3,1,5,2,6]=>[1,5,4,2,6,3]=>[[1,2,3],[4,6],[5]]
[6,2,5,1,4,3]=>[3,4,1,5,2,6]=>[1,4,5,2,6,3]=>[[1,2,3,6],[4,5]]
[6,2,5,3,1,4]=>[4,1,3,5,2,6]=>[1,5,2,4,6,3]=>[[1,2,3,6],[4],[5]]
[6,2,5,3,4,1]=>[1,4,3,5,2,6]=>[1,2,5,4,6,3]=>[[1,2,3,6],[4],[5]]
[6,2,5,4,1,3]=>[3,1,4,5,2,6]=>[1,4,2,5,6,3]=>[[1,2,3,6],[4,5]]
[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[1,2,4,5,6,3]=>[[1,2,3,5,6],[4]]
[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>[1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6]]
[6,3,1,2,5,4]=>[4,5,2,1,3,6]=>[1,5,6,3,2,4]=>[[1,2,4],[3,6],[5]]
[6,3,1,4,2,5]=>[5,2,4,1,3,6]=>[1,6,3,5,2,4]=>[[1,2,4],[3,5],[6]]
[6,3,1,4,5,2]=>[2,5,4,1,3,6]=>[1,3,6,5,2,4]=>[[1,2,4],[3,5],[6]]
[6,3,1,5,2,4]=>[4,2,5,1,3,6]=>[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]
[6,3,1,5,4,2]=>[2,4,5,1,3,6]=>[1,3,5,6,2,4]=>[[1,2,4,6],[3,5]]
[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>[1,6,5,2,3,4]=>[[1,2,3,4],[5],[6]]
[6,3,2,1,5,4]=>[4,5,1,2,3,6]=>[1,5,6,2,3,4]=>[[1,2,3,4],[5,6]]
[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>[1,6,2,5,3,4]=>[[1,2,3,4],[5],[6]]
[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[1,2,6,5,3,4]=>[[1,2,3,4],[5],[6]]
[6,3,2,5,1,4]=>[4,1,5,2,3,6]=>[1,5,2,6,3,4]=>[[1,2,3,4],[5,6]]
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]
[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>[1,6,3,2,5,4]=>[[1,2,4],[3,5],[6]]
[6,3,4,1,5,2]=>[2,5,1,4,3,6]=>[1,3,6,2,5,4]=>[[1,2,4],[3,5],[6]]
[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>[1,6,2,3,5,4]=>[[1,2,3,4],[5],[6]]
[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>[1,2,6,3,5,4]=>[[1,2,3,4],[5],[6]]
[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]
[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]
[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>[1,5,3,2,6,4]=>[[1,2,4],[3,6],[5]]
[6,3,5,1,4,2]=>[2,4,1,5,3,6]=>[1,3,5,2,6,4]=>[[1,2,4,6],[3,5]]
[6,3,5,2,1,4]=>[4,1,2,5,3,6]=>[1,5,2,3,6,4]=>[[1,2,3,4],[5,6]]
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[1,2,5,3,6,4]=>[[1,2,3,4],[5,6]]
[6,3,5,4,1,2]=>[2,1,4,5,3,6]=>[1,3,2,5,6,4]=>[[1,2,4,6],[3,5]]
[6,3,5,4,2,1]=>[1,2,4,5,3,6]=>[1,2,3,5,6,4]=>[[1,2,3,4,6],[5]]
[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>[1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6]]
[6,4,1,2,5,3]=>[3,5,2,1,4,6]=>[1,4,6,3,2,5]=>[[1,2,5],[3,6],[4]]
[6,4,1,3,2,5]=>[5,2,3,1,4,6]=>[1,6,3,4,2,5]=>[[1,2,4,5],[3],[6]]
[6,4,1,3,5,2]=>[2,5,3,1,4,6]=>[1,3,6,4,2,5]=>[[1,2,4,5],[3],[6]]
[6,4,1,5,2,3]=>[3,2,5,1,4,6]=>[1,4,3,6,2,5]=>[[1,2,5],[3,6],[4]]
[6,4,1,5,3,2]=>[2,3,5,1,4,6]=>[1,3,4,6,2,5]=>[[1,2,4,5],[3,6]]
[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>[1,6,4,2,3,5]=>[[1,2,3,5],[4],[6]]
[6,4,2,1,5,3]=>[3,5,1,2,4,6]=>[1,4,6,2,3,5]=>[[1,2,3,5],[4,6]]
[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>[1,6,2,4,3,5]=>[[1,2,3,5],[4],[6]]
[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>[1,2,6,4,3,5]=>[[1,2,3,5],[4],[6]]
[6,4,2,5,1,3]=>[3,1,5,2,4,6]=>[1,4,2,6,3,5]=>[[1,2,3,5],[4,6]]
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[1,2,4,6,3,5]=>[[1,2,3,5],[4,6]]
[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>[1,6,3,2,4,5]=>[[1,2,4,5],[3],[6]]
[6,4,3,1,5,2]=>[2,5,1,3,4,6]=>[1,3,6,2,4,5]=>[[1,2,4,5],[3,6]]
[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>[1,6,2,3,4,5]=>[[1,2,3,4,5],[6]]
[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[1,2,6,3,4,5]=>[[1,2,3,4,5],[6]]
[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>[1,3,2,6,4,5]=>[[1,2,4,5],[3,6]]
[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>[1,2,3,6,4,5]=>[[1,2,3,4,5],[6]]
[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]
[6,4,5,1,3,2]=>[2,3,1,5,4,6]=>[1,3,4,2,6,5]=>[[1,2,4,5],[3,6]]
[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>[1,4,2,3,6,5]=>[[1,2,3,5],[4,6]]
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]
[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]
[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]
[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]
[6,5,1,2,4,3]=>[3,4,2,1,5,6]=>[1,4,5,3,2,6]=>[[1,2,5,6],[3],[4]]
[6,5,1,3,2,4]=>[4,2,3,1,5,6]=>[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]
[6,5,1,3,4,2]=>[2,4,3,1,5,6]=>[1,3,5,4,2,6]=>[[1,2,4,6],[3],[5]]
[6,5,1,4,2,3]=>[3,2,4,1,5,6]=>[1,4,3,5,2,6]=>[[1,2,5,6],[3],[4]]
[6,5,1,4,3,2]=>[2,3,4,1,5,6]=>[1,3,4,5,2,6]=>[[1,2,4,5,6],[3]]
[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>[1,5,4,2,3,6]=>[[1,2,3,6],[4],[5]]
[6,5,2,1,4,3]=>[3,4,1,2,5,6]=>[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]
[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>[1,5,2,4,3,6]=>[[1,2,3,6],[4],[5]]
[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]
[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>[1,4,2,5,3,6]=>[[1,2,3,6],[4,5]]
[6,5,2,4,3,1]=>[1,3,4,2,5,6]=>[1,2,4,5,3,6]=>[[1,2,3,5,6],[4]]
[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>[1,5,3,2,4,6]=>[[1,2,4,6],[3],[5]]
[6,5,3,1,4,2]=>[2,4,1,3,5,6]=>[1,3,5,2,4,6]=>[[1,2,4,6],[3,5]]
[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>[1,5,2,3,4,6]=>[[1,2,3,4,6],[5]]
[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>[1,2,5,3,4,6]=>[[1,2,3,4,6],[5]]
[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]
[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]
[6,5,4,1,3,2]=>[2,3,1,4,5,6]=>[1,3,4,2,5,6]=>[[1,2,4,5,6],[3]]
[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>[1,4,2,3,5,6]=>[[1,2,3,5,6],[4]]
[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]
[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]
[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[7,1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]
[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[6,7,5,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]
[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[6,1,7,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>[7,6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]
[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[6,7,1,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>[7,5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]
[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>[7,1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]
[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>[5,7,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]
[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[5,1,7,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>[7,5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>[5,7,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>[6,5,7,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]
[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>[6,1,5,7,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]
[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[5,6,7,4,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]
[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>[5,1,6,7,4,3,2]=>[[1,2,7],[3,6],[4],[5]]
[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>[6,5,1,7,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>[5,6,1,7,4,3,2]=>[[1,2,7],[3,6],[4],[5]]
[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>[7,6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]
[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>[6,7,5,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>[7,5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[5,7,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>[6,5,7,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[5,6,7,1,4,3,2]=>[[1,2,7],[3,6],[4],[5]]
[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>[7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]
[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>[7,1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]
[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>[6,7,4,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6]]
[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>[6,1,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6]]
[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>[7,6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]
[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[6,7,1,4,5,3,2]=>[[1,2,5],[3,7],[4],[6]]
[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>[7,4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]
[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>[7,1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]
[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>[4,7,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]
[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[4,1,7,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>[7,4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>[4,7,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>[6,4,7,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6]]
[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>[6,1,4,7,5,3,2]=>[[1,2,5],[3,7],[4],[6]]
[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>[4,6,7,5,3,2,1]=>[[1,5,7],[2],[3],[4],[6]]
[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>[4,1,6,7,5,3,2]=>[[1,2,7],[3,5],[4],[6]]
[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>[6,4,1,7,5,3,2]=>[[1,2],[3,5],[4,7],[6]]
[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>[4,6,1,7,5,3,2]=>[[1,2,7],[3,5],[4],[6]]
[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>[7,6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>[6,7,4,1,5,3,2]=>[[1,2],[3,5],[4,7],[6]]
[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>[7,4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>[4,7,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>[6,4,7,1,5,3,2]=>[[1,2],[3,5],[4,7],[6]]
[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>[4,6,7,1,5,3,2]=>[[1,2,7],[3,5],[4],[6]]
[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>[7,5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]
[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>[7,1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7]]
[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>[5,7,4,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5]]
[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>[5,1,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5]]
[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>[7,5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7]]
[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>[5,7,1,4,6,3,2]=>[[1,2,6],[3,7],[4],[5]]
[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[7,4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]
[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>[7,1,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7]]
[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>[4,7,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]
[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>[4,1,7,5,6,3,2]=>[[1,2,6],[3,5],[4],[7]]
[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>[7,4,1,5,6,3,2]=>[[1,2,6],[3,5],[4],[7]]
[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>[4,7,1,5,6,3,2]=>[[1,2,6],[3,5],[4],[7]]
[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>[5,4,7,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5]]
[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>[5,1,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5]]
[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>[4,5,7,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]
[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>[4,1,5,7,6,3,2]=>[[1,2,6],[3,5],[4],[7]]
[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>[5,4,1,7,6,3,2]=>[[1,2],[3,6],[4,7],[5]]
[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>[4,5,1,7,6,3,2]=>[[1,2,6],[3,5],[4],[7]]
[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>[7,5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[5,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5]]
[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>[7,4,5,1,6,3,2]=>[[1,2,6],[3,5],[4],[7]]
[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>[4,7,5,1,6,3,2]=>[[1,2,6],[3,5],[4],[7]]
[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>[5,4,7,1,6,3,2]=>[[1,2],[3,6],[4,7],[5]]
[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>[4,5,7,1,6,3,2]=>[[1,2,6],[3,5],[4],[7]]
[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>[6,5,4,7,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]
[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>[6,1,5,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6]]
[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>[5,6,4,7,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]
[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>[5,1,6,4,7,3,2]=>[[1,2,7],[3,6],[4],[5]]
[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>[6,5,1,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6]]
[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>[5,6,1,4,7,3,2]=>[[1,2,7],[3,6],[4],[5]]
[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>[6,4,5,7,3,2,1]=>[[1,5,7],[2],[3],[4],[6]]
[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>[6,1,4,5,7,3,2]=>[[1,2,5,7],[3],[4],[6]]
[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[4,6,5,7,3,2,1]=>[[1,5,7],[2],[3],[4],[6]]
[1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]=>[4,1,6,5,7,3,2]=>[[1,2,7],[3,5],[4],[6]]
[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>[6,4,1,5,7,3,2]=>[[1,2,7],[3,5],[4],[6]]
[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>[4,6,1,5,7,3,2]=>[[1,2,7],[3,5],[4],[6]]
[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>[5,4,6,7,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]
[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>[5,1,4,6,7,3,2]=>[[1,2,6,7],[3],[4],[5]]
[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[4,5,6,7,3,2,1]=>[[1,5,6,7],[2],[3],[4]]
[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>[4,1,5,6,7,3,2]=>[[1,2,6,7],[3,5],[4]]
[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>[5,4,1,6,7,3,2]=>[[1,2,7],[3,6],[4],[5]]
[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>[4,5,1,6,7,3,2]=>[[1,2,6,7],[3,5],[4]]
[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>[6,5,4,1,7,3,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>[5,6,4,1,7,3,2]=>[[1,2,7],[3,6],[4],[5]]
[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>[6,4,5,1,7,3,2]=>[[1,2,7],[3,5],[4],[6]]
[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>[4,6,5,1,7,3,2]=>[[1,2,7],[3,5],[4],[6]]
[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[5,4,6,1,7,3,2]=>[[1,2,7],[3,6],[4],[5]]
[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>[4,5,6,1,7,3,2]=>[[1,2,6,7],[3,5],[4]]
[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>[7,6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6],[7]]
[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>[6,7,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>[7,5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>[5,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>[6,5,7,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>[5,6,7,4,1,3,2]=>[[1,2,7],[3,6],[4],[5]]
[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>[7,6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>[6,7,4,5,1,3,2]=>[[1,2],[3,5],[4,7],[6]]
[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>[7,4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[4,7,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>[6,4,7,5,1,3,2]=>[[1,2],[3,5],[4,7],[6]]
[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[4,6,7,5,1,3,2]=>[[1,2,7],[3,5],[4],[6]]
[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>[7,5,4,6,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>[5,7,4,6,1,3,2]=>[[1,2],[3,6],[4,7],[5]]
[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>[7,4,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]
[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[4,7,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]
[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>[5,4,7,6,1,3,2]=>[[1,2],[3,6],[4,7],[5]]
[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>[4,5,7,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]
[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>[6,5,4,7,1,3,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>[5,6,4,7,1,3,2]=>[[1,2,7],[3,6],[4],[5]]
[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>[6,4,5,7,1,3,2]=>[[1,2,7],[3,5],[4],[6]]
[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>[4,6,5,7,1,3,2]=>[[1,2,7],[3,5],[4],[6]]
[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>[5,4,6,7,1,3,2]=>[[1,2,7],[3,6],[4],[5]]
[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[4,5,6,7,1,3,2]=>[[1,2,6,7],[3,5],[4]]
[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[7,6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]
[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>[7,1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]
[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[6,7,5,3,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]
[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>[6,1,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6]]
[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>[7,6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]
[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[6,7,1,5,3,4,2]=>[[1,2,4],[3,7],[5],[6]]
[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>[7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]
[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>[7,1,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]
[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>[5,7,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]
[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>[5,1,7,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]
[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>[7,5,1,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]
[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>[5,7,1,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]
[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>[6,5,7,3,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]
[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>[6,1,5,7,3,4,2]=>[[1,2,4],[3,7],[5],[6]]
[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[5,6,7,3,4,2,1]=>[[1,4,7],[2,6],[3],[5]]
[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>[5,1,6,7,3,4,2]=>[[1,2,4],[3,6,7],[5]]
[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>[6,5,1,7,3,4,2]=>[[1,2,4],[3,7],[5],[6]]
[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>[5,6,1,7,3,4,2]=>[[1,2,4],[3,6,7],[5]]
[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>[7,6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]
[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>[6,7,5,1,3,4,2]=>[[1,2,4],[3,7],[5],[6]]
[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>[7,5,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7]]
[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[5,7,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7]]
[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>[6,5,7,1,3,4,2]=>[[1,2,4],[3,7],[5],[6]]
[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[5,6,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5]]
[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[7,6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]
[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>[7,1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]
[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>[6,7,3,5,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]
[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>[6,1,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]
[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>[7,6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]
[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>[6,7,1,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]
[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[7,3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]
[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>[7,1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]
[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>[3,7,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]
[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[3,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>[7,3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>[3,7,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>[6,3,7,5,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]
[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>[6,1,3,7,5,4,2]=>[[1,2,4],[3,7],[5],[6]]
[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>[3,6,7,5,4,2,1]=>[[1,4,7],[2],[3],[5],[6]]
[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>[3,1,6,7,5,4,2]=>[[1,2,7],[3,4],[5],[6]]
[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>[6,3,1,7,5,4,2]=>[[1,2],[3,4],[5,7],[6]]
[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>[3,6,1,7,5,4,2]=>[[1,2,7],[3,4],[5],[6]]
[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>[7,6,3,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>[6,7,3,1,5,4,2]=>[[1,2],[3,4],[5,7],[6]]
[1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]=>[7,3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]=>[3,7,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]=>[6,3,7,1,5,4,2]=>[[1,2],[3,4],[5,7],[6]]
[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>[3,6,7,1,5,4,2]=>[[1,2,7],[3,4],[5],[6]]
[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>[7,5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]
[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>[7,1,5,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]
[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>[5,7,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]
[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>[5,1,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]
[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>[7,5,1,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]
[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>[5,7,1,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]
[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>[7,3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7]]
[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>[7,1,3,5,6,4,2]=>[[1,2,4,6],[3],[5],[7]]
[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>[3,7,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7]]
[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>[3,1,7,5,6,4,2]=>[[1,2,6],[3,4],[5],[7]]
[1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]=>[7,3,1,5,6,4,2]=>[[1,2,6],[3,4],[5],[7]]
[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>[3,7,1,5,6,4,2]=>[[1,2,6],[3,4],[5],[7]]
[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>[5,3,7,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]
[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>[5,1,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7]]
[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>[3,5,7,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7]]
[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>[3,1,5,7,6,4,2]=>[[1,2,6],[3,4],[5],[7]]
[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>[5,3,1,7,6,4,2]=>[[1,2],[3,4],[5,6],[7]]
[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>[3,5,1,7,6,4,2]=>[[1,2,6],[3,4],[5],[7]]
[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>[7,5,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]
[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>[5,7,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]
[1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]=>[7,3,5,1,6,4,2]=>[[1,2,6],[3,4],[5],[7]]
[1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]=>[3,7,5,1,6,4,2]=>[[1,2,6],[3,4],[5],[7]]
[1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]=>[5,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]
[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>[3,5,7,1,6,4,2]=>[[1,2,6],[3,4],[5],[7]]
[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>[6,5,3,7,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]
[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>[6,1,5,3,7,4,2]=>[[1,2,4],[3,7],[5],[6]]
[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>[5,6,3,7,4,2,1]=>[[1,4,7],[2,6],[3],[5]]
[1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]=>[5,1,6,3,7,4,2]=>[[1,2,4],[3,6,7],[5]]
[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>[6,5,1,3,7,4,2]=>[[1,2,4],[3,7],[5],[6]]
[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>[5,6,1,3,7,4,2]=>[[1,2,4],[3,6,7],[5]]
[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[6,3,5,7,4,2,1]=>[[1,4,7],[2],[3],[5],[6]]
[1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]=>[6,1,3,5,7,4,2]=>[[1,2,4,7],[3],[5],[6]]
[1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]=>[3,6,5,7,4,2,1]=>[[1,4,7],[2],[3],[5],[6]]
[1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1]=>[3,1,6,5,7,4,2]=>[[1,2,7],[3,4],[5],[6]]
[1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]=>[6,3,1,5,7,4,2]=>[[1,2,7],[3,4],[5],[6]]
[1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]=>[3,6,1,5,7,4,2]=>[[1,2,7],[3,4],[5],[6]]
[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>[5,3,6,7,4,2,1]=>[[1,4,7],[2,6],[3],[5]]
[1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]=>[5,1,3,6,7,4,2]=>[[1,2,4,7],[3,6],[5]]
[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>[3,5,6,7,4,2,1]=>[[1,4,6,7],[2],[3],[5]]
[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>[3,1,5,6,7,4,2]=>[[1,2,6,7],[3,4],[5]]
[1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]=>[5,3,1,6,7,4,2]=>[[1,2,7],[3,4],[5,6]]
[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>[3,5,1,6,7,4,2]=>[[1,2,6,7],[3,4],[5]]
[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>[6,5,3,1,7,4,2]=>[[1,2],[3,4],[5,7],[6]]
[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>[5,6,3,1,7,4,2]=>[[1,2,7],[3,4],[5,6]]
[1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]=>[6,3,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6]]
[1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]=>[3,6,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6]]
[1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]=>[5,3,6,1,7,4,2]=>[[1,2,7],[3,4],[5,6]]
[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>[3,5,6,1,7,4,2]=>[[1,2,6,7],[3,4],[5]]
[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>[7,6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>[6,7,5,3,1,4,2]=>[[1,2],[3,4],[5,7],[6]]
[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>[7,5,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7]]
[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>[5,7,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7]]
[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>[6,5,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6]]
[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>[5,6,7,3,1,4,2]=>[[1,2,7],[3,4],[5,6]]
[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>[7,6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]=>[6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,7],[6]]
[1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]=>[7,3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]=>[3,7,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]=>[6,3,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6]]
[1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]=>[3,6,7,5,1,4,2]=>[[1,2,7],[3,4],[5],[6]]
[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>[7,5,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]
[1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]=>[5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]
[1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]=>[7,3,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]
[1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]=>[3,7,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]
[1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]=>[5,3,7,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]
[1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]=>[3,5,7,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]
[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>[6,5,3,7,1,4,2]=>[[1,2],[3,4],[5,7],[6]]
[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>[5,6,3,7,1,4,2]=>[[1,2,7],[3,4],[5,6]]
[1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]=>[6,3,5,7,1,4,2]=>[[1,2,7],[3,4],[5],[6]]
[1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]=>[3,6,5,7,1,4,2]=>[[1,2,7],[3,4],[5],[6]]
[1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]=>[5,3,6,7,1,4,2]=>[[1,2,7],[3,4],[5,6]]
[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>[3,5,6,7,1,4,2]=>[[1,2,6,7],[3,4],[5]]
[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7]]
[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>[7,1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]
[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>[6,7,4,3,5,2,1]=>[[1,5],[2,7],[3],[4],[6]]
[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>[6,1,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]
[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>[7,6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]
[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>[6,7,1,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]
[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>[7,4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]
[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>[7,1,4,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]
[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>[4,7,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]
[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>[4,1,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]
[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>[7,4,1,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]
[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>[4,7,1,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]
[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>[6,4,7,3,5,2,1]=>[[1,5],[2,7],[3],[4],[6]]
[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>[6,1,4,7,3,5,2]=>[[1,2,5],[3,7],[4],[6]]
[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>[4,6,7,3,5,2,1]=>[[1,5,7],[2,6],[3],[4]]
[1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]=>[4,1,6,7,3,5,2]=>[[1,2,5],[3,6,7],[4]]
[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>[6,4,1,7,3,5,2]=>[[1,2,5],[3,7],[4],[6]]
[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>[4,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4]]
[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>[7,6,4,1,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]
[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>[6,7,4,1,3,5,2]=>[[1,2,5],[3,7],[4],[6]]
[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>[7,4,6,1,3,5,2]=>[[1,2,5],[3,6],[4],[7]]
[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>[4,7,6,1,3,5,2]=>[[1,2,5],[3,6],[4],[7]]
[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>[6,4,7,1,3,5,2]=>[[1,2,5],[3,7],[4],[6]]
[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>[4,6,7,1,3,5,2]=>[[1,2,5],[3,6,7],[4]]
[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]
[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[7,1,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]
[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[6,7,3,4,5,2,1]=>[[1,4,5],[2,7],[3],[6]]
[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>[6,1,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]
[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>[7,6,1,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]
[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[6,7,1,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]
[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>[7,3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]
[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>[7,1,3,6,4,5,2]=>[[1,2,4,5],[3],[6],[7]]
[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>[3,7,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]
[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>[3,1,7,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]=>[7,3,1,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>[3,7,1,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>[6,3,7,4,5,2,1]=>[[1,4,5],[2,7],[3],[6]]
[1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]=>[6,1,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6]]
[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>[3,6,7,4,5,2,1]=>[[1,4,5],[2,7],[3],[6]]
[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>[3,1,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6]]
[1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]=>[6,3,1,7,4,5,2]=>[[1,2,5],[3,4],[6,7]]
[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>[3,6,1,7,4,5,2]=>[[1,2,5],[3,4,7],[6]]
[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>[7,6,3,1,4,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]=>[6,7,3,1,4,5,2]=>[[1,2,5],[3,4],[6,7]]
[1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]=>[7,3,6,1,4,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]=>[3,7,6,1,4,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]=>[6,3,7,1,4,5,2]=>[[1,2,5],[3,4],[6,7]]
[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>[3,6,7,1,4,5,2]=>[[1,2,5],[3,4,7],[6]]
[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>[7,4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]
[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>[7,1,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]
[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>[4,7,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]
[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>[4,1,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]
[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>[7,4,1,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]
[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>[4,7,1,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]
[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>[7,3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]
[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>[7,1,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]
[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>[3,7,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]
[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>[3,1,7,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]=>[7,3,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>[3,7,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>[4,3,7,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]
[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>[4,1,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7]]
[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>[3,4,7,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]
[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>[3,1,4,7,6,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[4,3,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7]]
[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>[3,4,1,7,6,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>[7,4,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]
[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>[4,7,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]
[1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]=>[7,3,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]=>[3,7,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]=>[4,3,7,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]
[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>[3,4,7,1,6,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>[6,4,3,7,5,2,1]=>[[1,5],[2,7],[3],[4],[6]]
[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>[6,1,4,3,7,5,2]=>[[1,2,5],[3,7],[4],[6]]
[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>[4,6,3,7,5,2,1]=>[[1,5,7],[2,6],[3],[4]]
[1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]=>[4,1,6,3,7,5,2]=>[[1,2,5],[3,6,7],[4]]
[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>[6,4,1,3,7,5,2]=>[[1,2,5],[3,7],[4],[6]]
[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>[4,6,1,3,7,5,2]=>[[1,2,5],[3,6,7],[4]]
[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>[6,3,4,7,5,2,1]=>[[1,4,5],[2,7],[3],[6]]
[1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]=>[6,1,3,4,7,5,2]=>[[1,2,4,5],[3,7],[6]]
[1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]=>[3,6,4,7,5,2,1]=>[[1,4,5],[2,7],[3],[6]]
[1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1]=>[3,1,6,4,7,5,2]=>[[1,2,5],[3,4,7],[6]]
[1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]=>[6,3,1,4,7,5,2]=>[[1,2,5],[3,4],[6,7]]
[1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]=>[3,6,1,4,7,5,2]=>[[1,2,5],[3,4,7],[6]]
[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>[4,3,6,7,5,2,1]=>[[1,5,7],[2,6],[3],[4]]
[1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]=>[4,1,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4]]
[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>[3,4,6,7,5,2,1]=>[[1,4,5,7],[2],[3],[6]]
[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>[3,1,4,6,7,5,2]=>[[1,2,5,7],[3,4],[6]]
[1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]=>[4,3,1,6,7,5,2]=>[[1,2,7],[3,5],[4,6]]
[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>[3,4,1,6,7,5,2]=>[[1,2,5,7],[3,4],[6]]
[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>[6,4,3,1,7,5,2]=>[[1,2],[3,5],[4,7],[6]]
[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>[4,6,3,1,7,5,2]=>[[1,2,7],[3,5],[4,6]]
[1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]=>[6,3,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7]]
[1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]=>[3,6,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7]]
[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]=>[4,3,6,1,7,5,2]=>[[1,2,7],[3,5],[4,6]]
[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>[3,4,6,1,7,5,2]=>[[1,2,5,7],[3,4],[6]]
[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>[7,6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>[6,7,4,3,1,5,2]=>[[1,2],[3,5],[4,7],[6]]
[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>[7,4,6,3,1,5,2]=>[[1,2],[3,5],[4,6],[7]]
[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[4,7,6,3,1,5,2]=>[[1,2],[3,5],[4,6],[7]]
[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>[6,4,7,3,1,5,2]=>[[1,2],[3,5],[4,7],[6]]
[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[4,6,7,3,1,5,2]=>[[1,2,7],[3,5],[4,6]]
[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>[7,6,3,4,1,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]=>[6,7,3,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]
[1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]=>[7,3,6,4,1,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]=>[3,7,6,4,1,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]=>[6,3,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]
[1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]=>[3,6,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]
[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>[7,4,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7]]
[1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]=>[4,7,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7]]
[1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]=>[7,3,4,6,1,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]=>[3,7,4,6,1,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]=>[4,3,7,6,1,5,2]=>[[1,2],[3,5],[4,6],[7]]
[1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]=>[3,4,7,6,1,5,2]=>[[1,2,5],[3,4],[6],[7]]
[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>[6,4,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6]]
[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>[4,6,3,7,1,5,2]=>[[1,2,7],[3,5],[4,6]]
[1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]=>[6,3,4,7,1,5,2]=>[[1,2,5],[3,4],[6,7]]
[1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]=>[3,6,4,7,1,5,2]=>[[1,2,5],[3,4],[6,7]]
[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]=>[4,3,6,7,1,5,2]=>[[1,2,7],[3,5],[4,6]]
[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>[3,4,6,7,1,5,2]=>[[1,2,5,7],[3,4],[6]]
[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>[7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7]]
[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>[7,1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]
[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>[5,7,4,3,6,2,1]=>[[1,6],[2,7],[3],[4],[5]]
[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>[5,1,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5]]
[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>[7,5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]
[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>[5,7,1,4,3,6,2]=>[[1,2,6],[3,7],[4],[5]]
[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>[7,4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4],[7]]
[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>[7,1,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]
[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[4,7,5,3,6,2,1]=>[[1,5,6],[2],[3],[4],[7]]
[1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]=>[4,1,7,5,3,6,2]=>[[1,2,6],[3,5],[4],[7]]
[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>[7,4,1,5,3,6,2]=>[[1,2,6],[3,5],[4],[7]]
[1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]=>[4,7,1,5,3,6,2]=>[[1,2,6],[3,5],[4],[7]]
[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>[5,4,7,3,6,2,1]=>[[1,6],[2,7],[3],[4],[5]]
[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>[5,1,4,7,3,6,2]=>[[1,2,6],[3,7],[4],[5]]
[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>[4,5,7,3,6,2,1]=>[[1,5,6],[2,7],[3],[4]]
[1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]=>[4,1,5,7,3,6,2]=>[[1,2,6],[3,5,7],[4]]
[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>[5,4,1,7,3,6,2]=>[[1,2,6],[3,7],[4],[5]]
[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>[4,5,1,7,3,6,2]=>[[1,2,6],[3,5,7],[4]]
[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>[7,5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]
[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>[5,7,4,1,3,6,2]=>[[1,2,6],[3,7],[4],[5]]
[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>[7,4,5,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]
[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>[4,7,5,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]
[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>[5,4,7,1,3,6,2]=>[[1,2,6],[3,7],[4],[5]]
[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>[4,5,7,1,3,6,2]=>[[1,2,6],[3,5,7],[4]]
[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>[7,5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7]]
[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>[7,1,5,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]
[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>[5,7,3,4,6,2,1]=>[[1,4,6],[2,7],[3],[5]]
[1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]=>[5,1,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5]]
[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>[7,5,1,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]
[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>[5,7,1,3,4,6,2]=>[[1,2,4,6],[3,7],[5]]
[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7]]
[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[7,1,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]
[1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]=>[3,7,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7]]
[1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1]=>[3,1,7,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]
[1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]=>[7,3,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]
[1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1]=>[3,7,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]
[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>[5,3,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5]]
[1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]=>[5,1,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5]]
[1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]=>[3,5,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5]]
[1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1]=>[3,1,5,7,4,6,2]=>[[1,2,6],[3,4,7],[5]]
[1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]=>[5,3,1,7,4,6,2]=>[[1,2,6],[3,4],[5,7]]
[1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]=>[3,5,1,7,4,6,2]=>[[1,2,6],[3,4,7],[5]]
[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>[7,5,3,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]
[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[5,7,3,1,4,6,2]=>[[1,2,6],[3,4],[5,7]]
[1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]=>[7,3,5,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]
[1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]=>[3,7,5,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]
[1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]=>[5,3,7,1,4,6,2]=>[[1,2,6],[3,4],[5,7]]
[1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]=>[3,5,7,1,4,6,2]=>[[1,2,6],[3,4,7],[5]]
[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>[7,4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4],[7]]
[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>[7,1,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]
[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>[4,7,3,5,6,2,1]=>[[1,5,6],[2,7],[3],[4]]
[1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]=>[4,1,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4]]
[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>[7,4,1,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]
[1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]=>[4,7,1,3,5,6,2]=>[[1,2,5,6],[3,7],[4]]
[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[7,3,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7]]
[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[7,1,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]
[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>[3,7,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7]]
[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>[3,1,7,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]=>[7,3,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>[3,7,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>[4,3,7,5,6,2,1]=>[[1,5,6],[2,7],[3],[4]]
[1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]=>[4,1,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4]]
[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>[3,4,7,5,6,2,1]=>[[1,4,5,6],[2],[3],[7]]
[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>[3,1,4,7,5,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]=>[4,3,1,7,5,6,2]=>[[1,2,6],[3,5],[4,7]]
[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>[3,4,1,7,5,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>[7,4,3,1,5,6,2]=>[[1,2,6],[3,5],[4],[7]]
[1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]=>[4,7,3,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]
[1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]=>[7,3,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]=>[3,7,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]=>[4,3,7,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]
[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>[3,4,7,1,5,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>[5,4,3,7,6,2,1]=>[[1,6],[2,7],[3],[4],[5]]
[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>[5,1,4,3,7,6,2]=>[[1,2,6],[3,7],[4],[5]]
[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>[4,5,3,7,6,2,1]=>[[1,5,6],[2,7],[3],[4]]
[1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]=>[4,1,5,3,7,6,2]=>[[1,2,6],[3,5,7],[4]]
[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>[5,4,1,3,7,6,2]=>[[1,2,6],[3,7],[4],[5]]
[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>[4,5,1,3,7,6,2]=>[[1,2,6],[3,5,7],[4]]
[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>[5,3,4,7,6,2,1]=>[[1,4,6],[2,7],[3],[5]]
[1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]=>[5,1,3,4,7,6,2]=>[[1,2,4,6],[3,7],[5]]
[1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]=>[3,5,4,7,6,2,1]=>[[1,4,6],[2,7],[3],[5]]
[1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1]=>[3,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5]]
[1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]=>[5,3,1,4,7,6,2]=>[[1,2,6],[3,4],[5,7]]
[1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]=>[3,5,1,4,7,6,2]=>[[1,2,6],[3,4,7],[5]]
[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[4,3,5,7,6,2,1]=>[[1,5,6],[2,7],[3],[4]]
[1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]=>[4,1,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4]]
[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>[3,4,5,7,6,2,1]=>[[1,4,5,6],[2],[3],[7]]
[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>[3,1,4,5,7,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]=>[4,3,1,5,7,6,2]=>[[1,2,6],[3,5],[4,7]]
[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>[3,4,1,5,7,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>[5,4,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5]]
[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>[4,5,3,1,7,6,2]=>[[1,2,6],[3,5],[4,7]]
[1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]=>[5,3,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7]]
[1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]=>[3,5,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7]]
[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]=>[4,3,5,1,7,6,2]=>[[1,2,6],[3,5],[4,7]]
[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>[3,4,5,1,7,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>[7,5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>[5,7,4,3,1,6,2]=>[[1,2],[3,6],[4,7],[5]]
[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>[7,4,5,3,1,6,2]=>[[1,2,6],[3,5],[4],[7]]
[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>[4,7,5,3,1,6,2]=>[[1,2,6],[3,5],[4],[7]]
[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>[5,4,7,3,1,6,2]=>[[1,2],[3,6],[4,7],[5]]
[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>[4,5,7,3,1,6,2]=>[[1,2,6],[3,5],[4,7]]
[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>[7,5,3,4,1,6,2]=>[[1,2,6],[3,4],[5],[7]]
[1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]=>[5,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]
[1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]=>[7,3,5,4,1,6,2]=>[[1,2,6],[3,4],[5],[7]]
[1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]=>[3,7,5,4,1,6,2]=>[[1,2,6],[3,4],[5],[7]]
[1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]=>[5,3,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]
[1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]=>[3,5,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]
[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>[7,4,3,5,1,6,2]=>[[1,2,6],[3,5],[4],[7]]
[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[4,7,3,5,1,6,2]=>[[1,2,6],[3,5],[4,7]]
[1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]=>[7,3,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]=>[3,7,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]=>[4,3,7,5,1,6,2]=>[[1,2,6],[3,5],[4,7]]
[1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]=>[3,4,7,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>[5,4,3,7,1,6,2]=>[[1,2],[3,6],[4,7],[5]]
[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[4,5,3,7,1,6,2]=>[[1,2,6],[3,5],[4,7]]
[1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]=>[5,3,4,7,1,6,2]=>[[1,2,6],[3,4],[5,7]]
[1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]=>[3,5,4,7,1,6,2]=>[[1,2,6],[3,4],[5,7]]
[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]=>[4,3,5,7,1,6,2]=>[[1,2,6],[3,5],[4,7]]
[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>[3,4,5,7,1,6,2]=>[[1,2,5,6],[3,4],[7]]
[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>[6,5,4,3,7,2,1]=>[[1,7],[2],[3],[4],[5],[6]]
[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>[6,1,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]
[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>[5,6,4,3,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]
[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>[5,1,6,4,3,7,2]=>[[1,2,7],[3,6],[4],[5]]
[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>[6,5,1,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]
[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>[5,6,1,4,3,7,2]=>[[1,2,7],[3,6],[4],[5]]
[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]=>[[1,5,7],[2],[3],[4],[6]]
[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>[6,1,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6]]
[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>[4,6,5,3,7,2,1]=>[[1,5,7],[2],[3],[4],[6]]
[1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]=>[4,1,6,5,3,7,2]=>[[1,2,7],[3,5],[4],[6]]
[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>[6,4,1,5,3,7,2]=>[[1,2,7],[3,5],[4],[6]]
[1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]=>[4,6,1,5,3,7,2]=>[[1,2,7],[3,5],[4],[6]]
[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>[5,4,6,3,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]
[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>[5,1,4,6,3,7,2]=>[[1,2,6,7],[3],[4],[5]]
[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>[4,5,6,3,7,2,1]=>[[1,5,6,7],[2],[3],[4]]
[1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]=>[4,1,5,6,3,7,2]=>[[1,2,6,7],[3,5],[4]]
[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>[5,4,1,6,3,7,2]=>[[1,2,7],[3,6],[4],[5]]
[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>[4,5,1,6,3,7,2]=>[[1,2,6,7],[3,5],[4]]
[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>[6,5,4,1,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]
[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>[5,6,4,1,3,7,2]=>[[1,2,7],[3,6],[4],[5]]
[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>[6,4,5,1,3,7,2]=>[[1,2,7],[3,5],[4],[6]]
[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>[4,6,5,1,3,7,2]=>[[1,2,7],[3,5],[4],[6]]
[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>[5,4,6,1,3,7,2]=>[[1,2,7],[3,6],[4],[5]]
[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>[4,5,6,1,3,7,2]=>[[1,2,6,7],[3,5],[4]]
[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>[6,5,3,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6]]
[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>[6,1,5,3,4,7,2]=>[[1,2,4,7],[3],[5],[6]]
[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>[5,6,3,4,7,2,1]=>[[1,4,7],[2,6],[3],[5]]
[1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]=>[5,1,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5]]
[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>[6,5,1,3,4,7,2]=>[[1,2,4,7],[3],[5],[6]]
[1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]=>[5,6,1,3,4,7,2]=>[[1,2,4,7],[3,6],[5]]
[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>[6,3,5,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6]]
[1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]=>[6,1,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6]]
[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[3,6,5,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6]]
[1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1]=>[3,1,6,5,4,7,2]=>[[1,2,7],[3,4],[5],[6]]
[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[6,3,1,5,4,7,2]=>[[1,2,7],[3,4],[5],[6]]
[1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1]=>[3,6,1,5,4,7,2]=>[[1,2,7],[3,4],[5],[6]]
[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>[5,3,6,4,7,2,1]=>[[1,4,7],[2,6],[3],[5]]
[1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]=>[5,1,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5]]
[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[3,5,6,4,7,2,1]=>[[1,4,6,7],[2],[3],[5]]
[1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1]=>[3,1,5,6,4,7,2]=>[[1,2,6,7],[3,4],[5]]
[1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]=>[5,3,1,6,4,7,2]=>[[1,2,7],[3,4],[5,6]]
[1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]=>[3,5,1,6,4,7,2]=>[[1,2,6,7],[3,4],[5]]
[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>[6,5,3,1,4,7,2]=>[[1,2,7],[3,4],[5],[6]]
[1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]=>[5,6,3,1,4,7,2]=>[[1,2,7],[3,4],[5,6]]
[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>[6,3,5,1,4,7,2]=>[[1,2,7],[3,4],[5],[6]]
[1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]=>[3,6,5,1,4,7,2]=>[[1,2,7],[3,4],[5],[6]]
[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[5,3,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6]]
[1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]=>[3,5,6,1,4,7,2]=>[[1,2,6,7],[3,4],[5]]
[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>[6,4,3,5,7,2,1]=>[[1,5,7],[2],[3],[4],[6]]
[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>[6,1,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6]]
[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>[4,6,3,5,7,2,1]=>[[1,5,7],[2,6],[3],[4]]
[1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]=>[4,1,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4]]
[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>[6,4,1,3,5,7,2]=>[[1,2,5,7],[3],[4],[6]]
[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>[4,6,1,3,5,7,2]=>[[1,2,5,7],[3,6],[4]]
[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>[6,3,4,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]
[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>[6,1,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6]]
[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[3,6,4,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]
[1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1]=>[3,1,6,4,5,7,2]=>[[1,2,5,7],[3,4],[6]]
[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[6,3,1,4,5,7,2]=>[[1,2,5,7],[3,4],[6]]
[1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1]=>[3,6,1,4,5,7,2]=>[[1,2,5,7],[3,4],[6]]
[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>[4,3,6,5,7,2,1]=>[[1,5,7],[2,6],[3],[4]]
[1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]=>[4,1,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4]]
[1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]=>[3,4,6,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]
[1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1]=>[3,1,4,6,5,7,2]=>[[1,2,5,7],[3,4],[6]]
[1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]=>[4,3,1,6,5,7,2]=>[[1,2,7],[3,5],[4,6]]
[1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]=>[3,4,1,6,5,7,2]=>[[1,2,5,7],[3,4],[6]]
[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>[6,4,3,1,5,7,2]=>[[1,2,7],[3,5],[4],[6]]
[1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]=>[4,6,3,1,5,7,2]=>[[1,2,7],[3,5],[4,6]]
[1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]=>[6,3,4,1,5,7,2]=>[[1,2,5,7],[3,4],[6]]
[1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]=>[3,6,4,1,5,7,2]=>[[1,2,5,7],[3,4],[6]]
[1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]=>[4,3,6,1,5,7,2]=>[[1,2,7],[3,5],[4,6]]
[1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]=>[3,4,6,1,5,7,2]=>[[1,2,5,7],[3,4],[6]]
[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>[5,4,3,6,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]
[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>[5,1,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5]]
[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>[4,5,3,6,7,2,1]=>[[1,5,6,7],[2],[3],[4]]
[1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]=>[4,1,5,3,6,7,2]=>[[1,2,6,7],[3,5],[4]]
[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>[5,4,1,3,6,7,2]=>[[1,2,6,7],[3],[4],[5]]
[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>[4,5,1,3,6,7,2]=>[[1,2,6,7],[3,5],[4]]
[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>[5,3,4,6,7,2,1]=>[[1,4,6,7],[2],[3],[5]]
[1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]=>[5,1,3,4,6,7,2]=>[[1,2,4,6,7],[3],[5]]
[1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]=>[3,5,4,6,7,2,1]=>[[1,4,6,7],[2],[3],[5]]
[1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1]=>[3,1,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5]]
[1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]=>[5,3,1,4,6,7,2]=>[[1,2,6,7],[3,4],[5]]
[1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]=>[3,5,1,4,6,7,2]=>[[1,2,6,7],[3,4],[5]]
[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>[4,3,5,6,7,2,1]=>[[1,5,6,7],[2],[3],[4]]
[1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]=>[4,1,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4]]
[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[3,4,5,6,7,2,1]=>[[1,4,5,6,7],[2],[3]]
[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>[3,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4]]
[1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]=>[4,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4]]
[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>[3,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,4]]
[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>[5,4,3,1,6,7,2]=>[[1,2,7],[3,6],[4],[5]]
[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>[4,5,3,1,6,7,2]=>[[1,2,6,7],[3,5],[4]]
[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[5,3,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5]]
[1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]=>[3,5,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5]]
[1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]=>[4,3,5,1,6,7,2]=>[[1,2,6,7],[3,5],[4]]
[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>[3,4,5,1,6,7,2]=>[[1,2,5,6,7],[3,4]]
[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>[6,5,4,3,1,7,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>[5,6,4,3,1,7,2]=>[[1,2,7],[3,6],[4],[5]]
[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>[6,4,5,3,1,7,2]=>[[1,2,7],[3,5],[4],[6]]
[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>[4,6,5,3,1,7,2]=>[[1,2,7],[3,5],[4],[6]]
[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>[5,4,6,3,1,7,2]=>[[1,2,7],[3,6],[4],[5]]
[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>[4,5,6,3,1,7,2]=>[[1,2,6,7],[3,5],[4]]
[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>[6,5,3,4,1,7,2]=>[[1,2,7],[3,4],[5],[6]]
[1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]=>[5,6,3,4,1,7,2]=>[[1,2,7],[3,4],[5,6]]
[1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]=>[6,3,5,4,1,7,2]=>[[1,2,7],[3,4],[5],[6]]
[1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]=>[3,6,5,4,1,7,2]=>[[1,2,7],[3,4],[5],[6]]
[1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]=>[5,3,6,4,1,7,2]=>[[1,2,7],[3,4],[5,6]]
[1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]=>[3,5,6,4,1,7,2]=>[[1,2,6,7],[3,4],[5]]
[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>[6,4,3,5,1,7,2]=>[[1,2,7],[3,5],[4],[6]]
[1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]=>[4,6,3,5,1,7,2]=>[[1,2,7],[3,5],[4,6]]
[1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]=>[6,3,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6]]
[1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]=>[3,6,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6]]
[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[4,3,6,5,1,7,2]=>[[1,2,7],[3,5],[4,6]]
[1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]=>[3,4,6,5,1,7,2]=>[[1,2,5,7],[3,4],[6]]
[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>[5,4,3,6,1,7,2]=>[[1,2,7],[3,6],[4],[5]]
[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>[4,5,3,6,1,7,2]=>[[1,2,6,7],[3,5],[4]]
[1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]=>[5,3,4,6,1,7,2]=>[[1,2,6,7],[3,4],[5]]
[1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]=>[3,5,4,6,1,7,2]=>[[1,2,6,7],[3,4],[5]]
[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[4,3,5,6,1,7,2]=>[[1,2,6,7],[3,5],[4]]
[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>[3,4,5,6,1,7,2]=>[[1,2,5,6,7],[3,4]]
[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>[7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7]]
[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>[6,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>[7,5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>[5,7,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>[6,5,7,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>[5,6,7,4,3,1,2]=>[[1,2,7],[3,6],[4],[5]]
[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>[7,6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>[6,7,4,5,3,1,2]=>[[1,2],[3,5],[4,7],[6]]
[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>[7,4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]=>[4,7,6,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>[6,4,7,5,3,1,2]=>[[1,2],[3,5],[4,7],[6]]
[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>[4,6,7,5,3,1,2]=>[[1,2,7],[3,5],[4],[6]]
[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>[7,5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>[5,7,4,6,3,1,2]=>[[1,2],[3,6],[4,7],[5]]
[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>[7,4,5,6,3,1,2]=>[[1,2,6],[3,5],[4],[7]]
[1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]=>[4,7,5,6,3,1,2]=>[[1,2,6],[3,5],[4],[7]]
[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>[5,4,7,6,3,1,2]=>[[1,2],[3,6],[4,7],[5]]
[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>[4,5,7,6,3,1,2]=>[[1,2,6],[3,5],[4],[7]]
[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>[6,5,4,7,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[5,6,4,7,3,1,2]=>[[1,2,7],[3,6],[4],[5]]
[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>[6,4,5,7,3,1,2]=>[[1,2,7],[3,5],[4],[6]]
[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]=>[4,6,5,7,3,1,2]=>[[1,2,7],[3,5],[4],[6]]
[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>[5,4,6,7,3,1,2]=>[[1,2,7],[3,6],[4],[5]]
[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>[4,5,6,7,3,1,2]=>[[1,2,6,7],[3,5],[4]]
[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>[7,6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>[6,7,5,3,4,1,2]=>[[1,2],[3,4],[5,7],[6]]
[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>[7,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7]]
[1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]=>[5,7,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7]]
[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>[6,5,7,3,4,1,2]=>[[1,2],[3,4],[5,7],[6]]
[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>[5,6,7,3,4,1,2]=>[[1,2,7],[3,4],[5,6]]
[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>[7,6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]=>[6,7,3,5,4,1,2]=>[[1,2],[3,4],[5,7],[6]]
[1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]=>[7,3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]=>[3,7,6,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]
[1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]=>[6,3,7,5,4,1,2]=>[[1,2],[3,4],[5,7],[6]]
[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[3,6,7,5,4,1,2]=>[[1,2,7],[3,4],[5],[6]]
[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>[7,5,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7]]
[1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]=>[5,7,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7]]
[1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]=>[7,3,5,6,4,1,2]=>[[1,2,6],[3,4],[5],[7]]
[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[3,7,5,6,4,1,2]=>[[1,2,6],[3,4],[5],[7]]
[1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]=>[5,3,7,6,4,1,2]=>[[1,2],[3,4],[5,6],[7]]
[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]=>[3,5,7,6,4,1,2]=>[[1,2,6],[3,4],[5],[7]]
[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>[6,5,3,7,4,1,2]=>[[1,2],[3,4],[5,7],[6]]
[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>[5,6,3,7,4,1,2]=>[[1,2,7],[3,4],[5,6]]
[1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]=>[6,3,5,7,4,1,2]=>[[1,2,7],[3,4],[5],[6]]
[1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]=>[3,6,5,7,4,1,2]=>[[1,2,7],[3,4],[5],[6]]
[1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]=>[5,3,6,7,4,1,2]=>[[1,2,7],[3,4],[5,6]]
[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[3,5,6,7,4,1,2]=>[[1,2,6,7],[3,4],[5]]
[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>[7,6,4,3,5,1,2]=>[[1,2],[3,5],[4],[6],[7]]
[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>[6,7,4,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]
[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>[7,4,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7]]
[1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]=>[4,7,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7]]
[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>[6,4,7,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]
[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>[4,6,7,3,5,1,2]=>[[1,2,7],[3,5],[4,6]]
[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>[7,6,3,4,5,1,2]=>[[1,2,5],[3,4],[6],[7]]
[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]=>[6,7,3,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]
[1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]=>[7,3,6,4,5,1,2]=>[[1,2,5],[3,4],[6],[7]]
[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[3,7,6,4,5,1,2]=>[[1,2,5],[3,4],[6],[7]]
[1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]=>[6,3,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]
[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[3,6,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]
[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>[7,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]
[1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]=>[4,7,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]
[1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]=>[7,3,4,6,5,1,2]=>[[1,2,5],[3,4],[6],[7]]
[1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1]=>[3,7,4,6,5,1,2]=>[[1,2,5],[3,4],[6],[7]]
[1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]=>[4,3,7,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]
[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]=>[3,4,7,6,5,1,2]=>[[1,2,5],[3,4],[6],[7]]
[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>[6,4,3,7,5,1,2]=>[[1,2],[3,5],[4,7],[6]]
[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>[4,6,3,7,5,1,2]=>[[1,2,7],[3,5],[4,6]]
[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>[6,3,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7]]
[1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]=>[3,6,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7]]
[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]=>[4,3,6,7,5,1,2]=>[[1,2,7],[3,5],[4,6]]
[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]=>[3,4,6,7,5,1,2]=>[[1,2,5,7],[3,4],[6]]
[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>[7,5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5],[7]]
[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>[5,7,4,3,6,1,2]=>[[1,2],[3,6],[4,7],[5]]
[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>[7,4,5,3,6,1,2]=>[[1,2,6],[3,5],[4],[7]]
[1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]=>[4,7,5,3,6,1,2]=>[[1,2,6],[3,5],[4],[7]]
[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>[5,4,7,3,6,1,2]=>[[1,2],[3,6],[4,7],[5]]
[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>[4,5,7,3,6,1,2]=>[[1,2,6],[3,5],[4,7]]
[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>[7,5,3,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]
[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>[5,7,3,4,6,1,2]=>[[1,2,6],[3,4],[5,7]]
[1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]=>[7,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]
[1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1]=>[3,7,5,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]
[1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]=>[5,3,7,4,6,1,2]=>[[1,2,6],[3,4],[5,7]]
[1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]=>[3,5,7,4,6,1,2]=>[[1,2,6],[3,4],[5,7]]
[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>[7,4,3,5,6,1,2]=>[[1,2,6],[3,5],[4],[7]]
[1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]=>[4,7,3,5,6,1,2]=>[[1,2,6],[3,5],[4,7]]
[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>[7,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]
[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[3,7,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]
[1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]=>[4,3,7,5,6,1,2]=>[[1,2,6],[3,5],[4,7]]
[1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]=>[3,4,7,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]
[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>[5,4,3,7,6,1,2]=>[[1,2],[3,6],[4,7],[5]]
[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>[4,5,3,7,6,1,2]=>[[1,2,6],[3,5],[4,7]]
[1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]=>[5,3,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7]]
[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[3,5,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7]]
[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]=>[4,3,5,7,6,1,2]=>[[1,2,6],[3,5],[4,7]]
[1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]=>[3,4,5,7,6,1,2]=>[[1,2,5,6],[3,4],[7]]
[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>[6,5,4,3,7,1,2]=>[[1,2],[3,7],[4],[5],[6]]
[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>[5,6,4,3,7,1,2]=>[[1,2,7],[3,6],[4],[5]]
[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>[6,4,5,3,7,1,2]=>[[1,2,7],[3,5],[4],[6]]
[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]=>[4,6,5,3,7,1,2]=>[[1,2,7],[3,5],[4],[6]]
[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>[5,4,6,3,7,1,2]=>[[1,2,7],[3,6],[4],[5]]
[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>[4,5,6,3,7,1,2]=>[[1,2,6,7],[3,5],[4]]
[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>[6,5,3,4,7,1,2]=>[[1,2,7],[3,4],[5],[6]]
[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>[5,6,3,4,7,1,2]=>[[1,2,7],[3,4],[5,6]]
[1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]=>[6,3,5,4,7,1,2]=>[[1,2,7],[3,4],[5],[6]]
[1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]=>[3,6,5,4,7,1,2]=>[[1,2,7],[3,4],[5],[6]]
[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>[5,3,6,4,7,1,2]=>[[1,2,7],[3,4],[5,6]]
[1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]=>[3,5,6,4,7,1,2]=>[[1,2,6,7],[3,4],[5]]
[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>[6,4,3,5,7,1,2]=>[[1,2,7],[3,5],[4],[6]]
[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>[4,6,3,5,7,1,2]=>[[1,2,7],[3,5],[4,6]]
[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>[6,3,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]
[1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]=>[3,6,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]
[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]=>[4,3,6,5,7,1,2]=>[[1,2,7],[3,5],[4,6]]
[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[3,4,6,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]
[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>[5,4,3,6,7,1,2]=>[[1,2,7],[3,6],[4],[5]]
[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>[4,5,3,6,7,1,2]=>[[1,2,6,7],[3,5],[4]]
[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>[5,3,4,6,7,1,2]=>[[1,2,6,7],[3,4],[5]]
[1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]=>[3,5,4,6,7,1,2]=>[[1,2,6,7],[3,4],[5]]
[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>[4,3,5,6,7,1,2]=>[[1,2,6,7],[3,5],[4]]
[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[3,4,5,6,7,1,2]=>[[1,2,5,6,7],[3,4]]
[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[7,6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6],[7]]
[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[7,1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]
[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>[6,7,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6]]
[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>[6,1,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]
[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]=>[7,6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]
[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[6,7,1,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]
[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>[7,5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]
[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>[7,1,5,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]
[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>[5,7,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]
[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>[5,1,7,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]
[2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2]=>[7,5,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]
[2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]=>[5,7,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]
[2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]=>[6,5,7,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6]]
[2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]=>[6,1,5,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]
[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[5,6,7,4,2,3,1]=>[[1,3,7],[2,6],[4],[5]]
[2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]=>[5,1,6,7,4,2,3]=>[[1,2,3],[4,6,7],[5]]
[2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]=>[6,5,1,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]
[2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]=>[5,6,1,7,4,2,3]=>[[1,2,3],[4,6,7],[5]]
[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]=>[7,6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]
[2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2]=>[6,7,5,1,4,2,3]=>[[1,2,3],[4,7],[5],[6]]
[2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2]=>[7,5,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7]]
[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[5,7,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7]]
[2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2]=>[6,5,7,1,4,2,3]=>[[1,2,3],[4,7],[5],[6]]
[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[5,6,7,1,4,2,3]=>[[1,2,3],[4,6,7],[5]]
[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>[7,6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7]]
[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>[7,1,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]
[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>[6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6]]
[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>[6,1,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]
[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>[7,6,1,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]
[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[6,7,1,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]
[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>[7,4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7]]
[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>[7,1,4,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]
[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>[4,7,6,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7]]
[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>[4,1,7,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]
[2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2]=>[7,4,1,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]
[2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]=>[4,7,1,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]
[2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2]=>[6,4,7,5,2,3,1]=>[[1,3],[2,5],[4,7],[6]]
[2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2]=>[6,1,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7]]
[2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]=>[4,6,7,5,2,3,1]=>[[1,3,7],[2,5],[4],[6]]
[2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]=>[4,1,6,7,5,2,3]=>[[1,2,3],[4,5,7],[6]]
[2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2]=>[6,4,1,7,5,2,3]=>[[1,2,3],[4,5],[6,7]]
[2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]=>[4,6,1,7,5,2,3]=>[[1,2,3],[4,5,7],[6]]
[2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2]=>[7,6,4,1,5,2,3]=>[[1,2,3],[4,5],[6],[7]]
[2,1,4,7,3,6,5]=>[5,6,3,7,4,1,2]=>[6,7,4,1,5,2,3]=>[[1,2,3],[4,5],[6,7]]
[2,1,4,7,5,3,6]=>[6,3,5,7,4,1,2]=>[7,4,6,1,5,2,3]=>[[1,2,3],[4,5],[6],[7]]
[2,1,4,7,5,6,3]=>[3,6,5,7,4,1,2]=>[4,7,6,1,5,2,3]=>[[1,2,3],[4,5],[6],[7]]
[2,1,4,7,6,3,5]=>[5,3,6,7,4,1,2]=>[6,4,7,1,5,2,3]=>[[1,2,3],[4,5],[6,7]]
[2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]=>[4,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6]]
[2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]=>[7,5,4,6,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]
[2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]=>[7,1,5,4,6,2,3]=>[[1,2,3],[4,6],[5],[7]]
[2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]=>[5,7,4,6,2,3,1]=>[[1,3],[2,6],[4,7],[5]]
[2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2]=>[5,1,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7]]
[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>[7,5,1,4,6,2,3]=>[[1,2,3],[4,6],[5],[7]]
[2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2]=>[5,7,1,4,6,2,3]=>[[1,2,3],[4,6],[5,7]]
[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[7,4,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]
[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[7,1,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7]]
[2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]=>[4,7,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]
[2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]=>[4,1,7,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]
[2,1,5,4,7,3,6]=>[6,3,7,4,5,1,2]=>[7,4,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]
[2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]=>[4,7,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]
[2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]=>[5,4,7,6,2,3,1]=>[[1,3],[2,6],[4,7],[5]]
[2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2]=>[5,1,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]
[2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]=>[4,5,7,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]
[2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]=>[4,1,5,7,6,2,3]=>[[1,2,3],[4,5,6],[7]]
[2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2]=>[5,4,1,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]
[2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]=>[4,5,1,7,6,2,3]=>[[1,2,3],[4,5,6],[7]]
[2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2]=>[7,5,4,1,6,2,3]=>[[1,2,3],[4,6],[5],[7]]
[2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]=>[5,7,4,1,6,2,3]=>[[1,2,3],[4,6],[5,7]]
[2,1,5,7,4,3,6]=>[6,3,4,7,5,1,2]=>[7,4,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7]]
[2,1,5,7,4,6,3]=>[3,6,4,7,5,1,2]=>[4,7,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7]]
[2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2]=>[5,4,7,1,6,2,3]=>[[1,2,3],[4,6],[5,7]]
[2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]=>[4,5,7,1,6,2,3]=>[[1,2,3],[4,5,6],[7]]
[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]=>[6,5,4,7,2,3,1]=>[[1,3],[2,7],[4],[5],[6]]
[2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]=>[6,1,5,4,7,2,3]=>[[1,2,3],[4,7],[5],[6]]
[2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2]=>[5,6,4,7,2,3,1]=>[[1,3,7],[2,6],[4],[5]]
[2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2]=>[5,1,6,4,7,2,3]=>[[1,2,3],[4,6,7],[5]]
[2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2]=>[6,5,1,4,7,2,3]=>[[1,2,3],[4,7],[5],[6]]
[2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2]=>[5,6,1,4,7,2,3]=>[[1,2,3],[4,6,7],[5]]
[2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2]=>[6,4,5,7,2,3,1]=>[[1,3,7],[2,5],[4],[6]]
[2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2]=>[6,1,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6]]
[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[4,6,5,7,2,3,1]=>[[1,3,7],[2,5],[4],[6]]
[2,1,6,4,5,7,3]=>[3,7,5,4,6,1,2]=>[4,1,6,5,7,2,3]=>[[1,2,3],[4,5,7],[6]]
[2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]=>[6,4,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6]]
[2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2]=>[4,6,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6]]
[2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2]=>[5,4,6,7,2,3,1]=>[[1,3,7],[2,6],[4],[5]]
[2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2]=>[5,1,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5]]
[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[4,5,6,7,2,3,1]=>[[1,3,6,7],[2,5],[4]]
[2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]=>[4,1,5,6,7,2,3]=>[[1,2,3,7],[4,5,6]]
[2,1,6,5,7,3,4]=>[4,3,7,5,6,1,2]=>[5,4,1,6,7,2,3]=>[[1,2,3],[4,6,7],[5]]
[2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]=>[4,5,1,6,7,2,3]=>[[1,2,3,7],[4,5,6]]
[2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2]=>[6,5,4,1,7,2,3]=>[[1,2,3],[4,7],[5],[6]]
[2,1,6,7,3,5,4]=>[4,5,3,7,6,1,2]=>[5,6,4,1,7,2,3]=>[[1,2,3],[4,6,7],[5]]
[2,1,6,7,4,3,5]=>[5,3,4,7,6,1,2]=>[6,4,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6]]
[2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2]=>[4,6,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6]]
[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[5,4,6,1,7,2,3]=>[[1,2,3],[4,6,7],[5]]
[2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]=>[4,5,6,1,7,2,3]=>[[1,2,3,7],[4,5,6]]
[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]=>[7,6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6],[7]]
[2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2]=>[6,7,5,4,1,2,3]=>[[1,2,3],[4,7],[5],[6]]
[2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2]=>[7,5,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7]]
[2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2]=>[5,7,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7]]
[2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2]=>[6,5,7,4,1,2,3]=>[[1,2,3],[4,7],[5],[6]]
[2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2]=>[5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5]]
[2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2]=>[7,6,4,5,1,2,3]=>[[1,2,3],[4,5],[6],[7]]
[2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2]=>[6,7,4,5,1,2,3]=>[[1,2,3],[4,5],[6,7]]
[2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2]=>[7,4,6,5,1,2,3]=>[[1,2,3],[4,5],[6],[7]]
[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[4,7,6,5,1,2,3]=>[[1,2,3],[4,5],[6],[7]]
[2,1,7,4,6,3,5]=>[5,3,6,4,7,1,2]=>[6,4,7,5,1,2,3]=>[[1,2,3],[4,5],[6,7]]
[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[4,6,7,5,1,2,3]=>[[1,2,3],[4,5,7],[6]]
[2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2]=>[7,5,4,6,1,2,3]=>[[1,2,3],[4,6],[5],[7]]
[2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2]=>[5,7,4,6,1,2,3]=>[[1,2,3],[4,6],[5,7]]
[2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2]=>[7,4,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]
[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[4,7,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]
[2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2]=>[5,4,7,6,1,2,3]=>[[1,2,3],[4,6],[5,7]]
[2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2]=>[4,5,7,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]
[2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2]=>[6,5,4,7,1,2,3]=>[[1,2,3],[4,7],[5],[6]]
[2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2]=>[5,6,4,7,1,2,3]=>[[1,2,3],[4,6,7],[5]]
[2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2]=>[6,4,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6]]
[2,1,7,6,4,5,3]=>[3,5,4,6,7,1,2]=>[4,6,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6]]
[2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2]=>[5,4,6,7,1,2,3]=>[[1,2,3],[4,6,7],[5]]
[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[4,5,6,7,1,2,3]=>[[1,2,3,7],[4,5,6]]
[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>[7,6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]
[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>[7,1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]
[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>[6,7,5,2,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]
[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>[6,1,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]
[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[7,6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]
[2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]=>[6,7,1,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]
[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>[7,5,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]
[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>[7,1,5,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]
[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>[5,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]
[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>[5,1,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]
[2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2]=>[7,5,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]
[2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]=>[5,7,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]
[2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2]=>[6,5,7,2,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]
[2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2]=>[6,1,5,7,2,4,3]=>[[1,2,3],[4,7],[5],[6]]
[2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]=>[5,6,7,2,4,3,1]=>[[1,3,7],[2,6],[4],[5]]
[2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]=>[5,1,6,7,2,4,3]=>[[1,2,3],[4,6,7],[5]]
[2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2]=>[6,5,1,7,2,4,3]=>[[1,2,3],[4,7],[5],[6]]
[2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]=>[5,6,1,7,2,4,3]=>[[1,2,3],[4,6,7],[5]]
[2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2]=>[7,6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]
[2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2]=>[6,7,5,1,2,4,3]=>[[1,2,3],[4,7],[5],[6]]
[2,3,1,7,5,4,6]=>[6,4,5,7,1,3,2]=>[7,5,6,1,2,4,3]=>[[1,2,3],[4,6],[5],[7]]
[2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2]=>[5,7,6,1,2,4,3]=>[[1,2,3],[4,6],[5],[7]]
[2,3,1,7,6,4,5]=>[5,4,6,7,1,3,2]=>[6,5,7,1,2,4,3]=>[[1,2,3],[4,7],[5],[6]]
[2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]=>[5,6,7,1,2,4,3]=>[[1,2,3],[4,6,7],[5]]
[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>[7,6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]
[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>[7,1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]
[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>[6,7,2,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]
[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>[6,1,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6]]
[2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2]=>[7,6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]
[2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]=>[6,7,1,2,5,4,3]=>[[1,2,3],[4,7],[5],[6]]
[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>[7,2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]
[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>[7,1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]
[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]
[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[2,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]=>[7,2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>[2,7,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2]=>[6,2,7,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]
[2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2]=>[6,1,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6]]
[2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]=>[2,6,7,5,4,3,1]=>[[1,3,7],[2],[4],[5],[6]]
[2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]=>[2,1,6,7,5,4,3]=>[[1,3,7],[2,4],[5],[6]]
[2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]=>[6,2,1,7,5,4,3]=>[[1,3],[2,4],[5,7],[6]]
[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>[2,6,1,7,5,4,3]=>[[1,3,7],[2,4],[5],[6]]
[2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2]=>[7,6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2]=>[6,7,2,1,5,4,3]=>[[1,3],[2,4],[5,7],[6]]
[2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2]=>[7,2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]=>[2,7,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2]=>[6,2,7,1,5,4,3]=>[[1,3],[2,4],[5,7],[6]]
[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>[2,6,7,1,5,4,3]=>[[1,3,7],[2,4],[5],[6]]
[2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2]=>[7,5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]
[2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2]=>[7,1,5,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]
[2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2]=>[5,7,2,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]
[2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2]=>[5,1,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]
[2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2]=>[7,5,1,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]
[2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2]=>[5,7,1,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]
[2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]=>[7,2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7]]
[2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]=>[7,1,2,5,6,4,3]=>[[1,2,3,6],[4],[5],[7]]
[2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]=>[2,7,5,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7]]
[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>[2,1,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]
[2,3,5,4,7,1,6]=>[6,1,7,4,5,3,2]=>[7,2,1,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]
[2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]=>[2,7,1,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]
[2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2]=>[5,2,7,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]
[2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2]=>[5,1,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7]]
[2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]=>[2,5,7,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7]]
[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>[2,1,5,7,6,4,3]=>[[1,3,6],[2,4],[5],[7]]
[2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]=>[5,2,1,7,6,4,3]=>[[1,3],[2,4],[5,6],[7]]
[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>[2,5,1,7,6,4,3]=>[[1,3,6],[2,4],[5],[7]]
[2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2]=>[7,5,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]
[2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2]=>[5,7,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]
[2,3,5,7,4,1,6]=>[6,1,4,7,5,3,2]=>[7,2,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7]]
[2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2]=>[2,7,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7]]
[2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2]=>[5,2,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]
[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>[2,5,7,1,6,4,3]=>[[1,3,6],[2,4],[5],[7]]
[2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2]=>[6,5,2,7,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]
[2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2]=>[6,1,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]
[2,3,6,1,5,4,7]=>[7,4,5,1,6,3,2]=>[5,6,2,7,4,3,1]=>[[1,3,7],[2,6],[4],[5]]
[2,3,6,1,5,7,4]=>[4,7,5,1,6,3,2]=>[5,1,6,2,7,4,3]=>[[1,2,3],[4,6,7],[5]]
[2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2]=>[6,5,1,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]
[2,3,6,1,7,5,4]=>[4,5,7,1,6,3,2]=>[5,6,1,2,7,4,3]=>[[1,2,3],[4,6,7],[5]]
[2,3,6,4,1,5,7]=>[7,5,1,4,6,3,2]=>[6,2,5,7,4,3,1]=>[[1,3,7],[2],[4],[5],[6]]
[2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2]=>[6,1,2,5,7,4,3]=>[[1,2,3,7],[4],[5],[6]]
[2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2]=>[2,6,5,7,4,3,1]=>[[1,3,7],[2],[4],[5],[6]]
[2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2]=>[2,1,6,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]
[2,3,6,4,7,1,5]=>[5,1,7,4,6,3,2]=>[6,2,1,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]
[2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2]=>[2,6,1,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]
[2,3,6,5,1,4,7]=>[7,4,1,5,6,3,2]=>[5,2,6,7,4,3,1]=>[[1,3,7],[2,6],[4],[5]]
[2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2]=>[5,1,2,6,7,4,3]=>[[1,2,3,7],[4,6],[5]]
[2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]=>[2,5,6,7,4,3,1]=>[[1,3,6,7],[2],[4],[5]]
[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>[2,1,5,6,7,4,3]=>[[1,3,6,7],[2,4],[5]]
[2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2]=>[5,2,1,6,7,4,3]=>[[1,3,7],[2,4],[5,6]]
[2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]=>[2,5,1,6,7,4,3]=>[[1,3,6,7],[2,4],[5]]
[2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2]=>[6,5,2,1,7,4,3]=>[[1,3],[2,4],[5,7],[6]]
[2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2]=>[5,6,2,1,7,4,3]=>[[1,3,7],[2,4],[5,6]]
[2,3,6,7,4,1,5]=>[5,1,4,7,6,3,2]=>[6,2,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6]]
[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>[2,6,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6]]
[2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2]=>[5,2,6,1,7,4,3]=>[[1,3,7],[2,4],[5,6]]
[2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]=>[2,5,6,1,7,4,3]=>[[1,3,6,7],[2,4],[5]]
[2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]=>[7,6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,3,7,1,4,6,5]=>[5,6,4,1,7,3,2]=>[6,7,5,2,1,4,3]=>[[1,3],[2,4],[5,7],[6]]
[2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2]=>[7,5,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7]]
[2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2]=>[5,7,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7]]
[2,3,7,1,6,4,5]=>[5,4,6,1,7,3,2]=>[6,5,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6]]
[2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2]=>[5,6,7,2,1,4,3]=>[[1,3,7],[2,4],[5,6]]
[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[7,6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2]=>[6,7,2,5,1,4,3]=>[[1,3],[2,4],[5,7],[6]]
[2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2]=>[7,2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>[2,7,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2]=>[6,2,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6]]
[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>[2,6,7,5,1,4,3]=>[[1,3,7],[2,4],[5],[6]]
[2,3,7,5,1,4,6]=>[6,4,1,5,7,3,2]=>[7,5,2,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]
[2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2]=>[5,7,2,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]
[2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2]=>[7,2,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7]]
[2,3,7,5,4,6,1]=>[1,6,4,5,7,3,2]=>[2,7,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7]]
[2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2]=>[5,2,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]
[2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]=>[2,5,7,6,1,4,3]=>[[1,3,6],[2,4],[5],[7]]
[2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2]=>[6,5,2,7,1,4,3]=>[[1,3],[2,4],[5,7],[6]]
[2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2]=>[5,6,2,7,1,4,3]=>[[1,3,7],[2,4],[5,6]]
[2,3,7,6,4,1,5]=>[5,1,4,6,7,3,2]=>[6,2,5,7,1,4,3]=>[[1,3,7],[2,4],[5],[6]]
[2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2]=>[2,6,5,7,1,4,3]=>[[1,3,7],[2,4],[5],[6]]
[2,3,7,6,5,1,4]=>[4,1,5,6,7,3,2]=>[5,2,6,7,1,4,3]=>[[1,3,7],[2,4],[5,6]]
[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]=>[2,5,6,7,1,4,3]=>[[1,3,6,7],[2,4],[5]]
[2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]=>[7,6,4,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]
[2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2]=>[7,1,6,4,2,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2]=>[6,7,4,2,5,3,1]=>[[1,3],[2,5],[4,7],[6]]
[2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2]=>[6,1,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]
[2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2]=>[7,6,1,4,2,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,1,3,7,6,5]=>[5,6,7,3,1,4,2]=>[6,7,1,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]
[2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2]=>[7,4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]
[2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2]=>[7,1,4,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2]=>[4,7,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]
[2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]=>[4,1,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2]=>[7,4,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,1,5,7,6,3]=>[3,6,7,5,1,4,2]=>[4,7,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2]=>[6,4,7,2,5,3,1]=>[[1,3],[2,5],[4,7],[6]]
[2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2]=>[6,1,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]
[2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2]=>[4,6,7,2,5,3,1]=>[[1,3,7],[2,5],[4],[6]]
[2,4,1,6,5,7,3]=>[3,7,5,6,1,4,2]=>[4,1,6,7,2,5,3]=>[[1,2,3],[4,5,7],[6]]
[2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2]=>[6,4,1,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]
[2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2]=>[4,6,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6]]
[2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2]=>[7,6,4,1,2,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2]=>[6,7,4,1,2,5,3]=>[[1,2,3],[4,5],[6,7]]
[2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2]=>[7,4,6,1,2,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2]=>[4,7,6,1,2,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2]=>[6,4,7,1,2,5,3]=>[[1,2,3],[4,5],[6,7]]
[2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2]=>[4,6,7,1,2,5,3]=>[[1,2,3],[4,5,7],[6]]
[2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]=>[7,6,2,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]
[2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]=>[7,1,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]
[2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]=>[6,7,2,4,5,3,1]=>[[1,3,5],[2,7],[4],[6]]
[2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]=>[6,1,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]
[2,4,3,1,7,5,6]=>[6,5,7,1,3,4,2]=>[7,6,1,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]
[2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]=>[6,7,1,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]
[2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]=>[7,2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]
[2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]=>[7,1,2,6,4,5,3]=>[[1,2,3,5],[4],[6],[7]]
[2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]=>[2,7,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]
[2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]=>[2,1,7,6,4,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,3,5,7,1,6]=>[6,1,7,5,3,4,2]=>[7,2,1,6,4,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]=>[2,7,1,6,4,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,3,6,1,5,7]=>[7,5,1,6,3,4,2]=>[6,2,7,4,5,3,1]=>[[1,3,5],[2,7],[4],[6]]
[2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2]=>[6,1,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6]]
[2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]=>[2,6,7,4,5,3,1]=>[[1,3,5],[2,7],[4],[6]]
[2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]=>[2,1,6,7,4,5,3]=>[[1,3,5],[2,4,7],[6]]
[2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2]=>[6,2,1,7,4,5,3]=>[[1,3,5],[2,4],[6,7]]
[2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]=>[2,6,1,7,4,5,3]=>[[1,3,5],[2,4,7],[6]]
[2,4,3,7,1,5,6]=>[6,5,1,7,3,4,2]=>[7,6,2,1,4,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2]=>[6,7,2,1,4,5,3]=>[[1,3,5],[2,4],[6,7]]
[2,4,3,7,5,1,6]=>[6,1,5,7,3,4,2]=>[7,2,6,1,4,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2]=>[2,7,6,1,4,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2]=>[6,2,7,1,4,5,3]=>[[1,3,5],[2,4],[6,7]]
[2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>[2,6,7,1,4,5,3]=>[[1,3,5],[2,4,7],[6]]
[2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]=>[7,4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]
[2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]=>[7,1,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]=>[4,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]
[2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]=>[4,1,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]=>[7,4,1,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2]=>[4,7,1,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]=>[7,2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]
[2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]=>[7,1,2,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]
[2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]=>[2,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]
[2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]=>[2,1,7,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,5,3,7,1,6]=>[6,1,7,3,5,4,2]=>[7,2,1,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>[2,7,1,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]=>[4,2,7,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]
[2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]=>[4,1,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7]]
[2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]=>[2,4,7,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]
[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>[2,1,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]=>[4,2,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7]]
[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>[2,4,1,7,6,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]=>[7,4,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]
[2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2]=>[4,7,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]
[2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2]=>[7,2,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2]=>[2,7,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,5,7,6,1,3]=>[3,1,6,7,5,4,2]=>[4,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]
[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>[2,4,7,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]=>[6,4,2,7,5,3,1]=>[[1,3],[2,5],[4,7],[6]]
[2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]=>[6,1,4,2,7,5,3]=>[[1,2,3],[4,5],[6,7]]
[2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2]=>[4,6,2,7,5,3,1]=>[[1,3,7],[2,5],[4],[6]]
[2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2]=>[4,1,6,2,7,5,3]=>[[1,2,3],[4,5,7],[6]]
[2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]=>[6,4,1,2,7,5,3]=>[[1,2,3],[4,5],[6,7]]
[2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2]=>[4,6,1,2,7,5,3]=>[[1,2,3],[4,5,7],[6]]
[2,4,6,3,1,5,7]=>[7,5,1,3,6,4,2]=>[6,2,4,7,5,3,1]=>[[1,3,5],[2,7],[4],[6]]
[2,4,6,3,1,7,5]=>[5,7,1,3,6,4,2]=>[6,1,2,4,7,5,3]=>[[1,2,3,5],[4,7],[6]]
[2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2]=>[2,6,4,7,5,3,1]=>[[1,3,5],[2,7],[4],[6]]
[2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2]=>[2,1,6,4,7,5,3]=>[[1,3,5],[2,4,7],[6]]
[2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2]=>[6,2,1,4,7,5,3]=>[[1,3,5],[2,4],[6,7]]
[2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]=>[2,6,1,4,7,5,3]=>[[1,3,5],[2,4,7],[6]]
[2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2]=>[4,2,6,7,5,3,1]=>[[1,3,7],[2,5],[4],[6]]
[2,4,6,5,1,7,3]=>[3,7,1,5,6,4,2]=>[4,1,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6]]
[2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]=>[2,4,6,7,5,3,1]=>[[1,3,5,7],[2],[4],[6]]
[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>[2,1,4,6,7,5,3]=>[[1,3,5,7],[2,4],[6]]
[2,4,6,5,7,1,3]=>[3,1,7,5,6,4,2]=>[4,2,1,6,7,5,3]=>[[1,3,7],[2,5],[4,6]]
[2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]=>[2,4,1,6,7,5,3]=>[[1,3,5,7],[2,4],[6]]
[2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2]=>[6,4,2,1,7,5,3]=>[[1,3],[2,5],[4,7],[6]]
[2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2]=>[4,6,2,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]
[2,4,6,7,3,1,5]=>[5,1,3,7,6,4,2]=>[6,2,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7]]
[2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2]=>[2,6,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7]]
[2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2]=>[4,2,6,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]
[2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]=>[2,4,6,1,7,5,3]=>[[1,3,5,7],[2,4],[6]]
[2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]=>[7,6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6],[7]]
[2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2]=>[6,7,4,2,1,5,3]=>[[1,3],[2,5],[4,7],[6]]
[2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2]=>[7,4,6,2,1,5,3]=>[[1,3],[2,5],[4,6],[7]]
[2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2]=>[4,7,6,2,1,5,3]=>[[1,3],[2,5],[4,6],[7]]
[2,4,7,1,6,3,5]=>[5,3,6,1,7,4,2]=>[6,4,7,2,1,5,3]=>[[1,3],[2,5],[4,7],[6]]
[2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2]=>[4,6,7,2,1,5,3]=>[[1,3,7],[2,5],[4,6]]
[2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2]=>[7,6,2,4,1,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,7,3,1,6,5]=>[5,6,1,3,7,4,2]=>[6,7,2,4,1,5,3]=>[[1,3,5],[2,4],[6,7]]
[2,4,7,3,5,1,6]=>[6,1,5,3,7,4,2]=>[7,2,6,4,1,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2]=>[2,7,6,4,1,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2]=>[6,2,7,4,1,5,3]=>[[1,3,5],[2,4],[6,7]]
[2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2]=>[2,6,7,4,1,5,3]=>[[1,3,5],[2,4],[6,7]]
[2,4,7,5,1,3,6]=>[6,3,1,5,7,4,2]=>[7,4,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]
[2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2]=>[4,7,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]
[2,4,7,5,3,1,6]=>[6,1,3,5,7,4,2]=>[7,2,4,6,1,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2]=>[2,7,4,6,1,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,7,5,6,1,3]=>[3,1,6,5,7,4,2]=>[4,2,7,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]
[2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]=>[2,4,7,6,1,5,3]=>[[1,3,5],[2,4],[6],[7]]
[2,4,7,6,1,3,5]=>[5,3,1,6,7,4,2]=>[6,4,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6]]
[2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2]=>[4,6,2,7,1,5,3]=>[[1,3,7],[2,5],[4,6]]
[2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2]=>[6,2,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7]]
[2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2]=>[2,6,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7]]
[2,4,7,6,5,1,3]=>[3,1,5,6,7,4,2]=>[4,2,6,7,1,5,3]=>[[1,3,7],[2,5],[4,6]]
[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]=>[2,4,6,7,1,5,3]=>[[1,3,5,7],[2,4],[6]]
[2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>[7,5,4,2,6,3,1]=>[[1,3],[2,6],[4],[5],[7]]
[2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]=>[7,1,5,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]
[2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]=>[5,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5]]
[2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]=>[5,1,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]
[2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]=>[7,5,1,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]
[2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2]=>[5,7,1,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]
[2,5,1,4,3,6,7]=>[7,6,3,4,1,5,2]=>[7,4,5,2,6,3,1]=>[[1,3,6],[2,5],[4],[7]]
[2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2]=>[7,1,4,5,2,6,3]=>[[1,2,3,6],[4,5],[7]]
[2,5,1,4,6,3,7]=>[7,3,6,4,1,5,2]=>[4,7,5,2,6,3,1]=>[[1,3,6],[2,5],[4],[7]]
[2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2]=>[4,1,7,5,2,6,3]=>[[1,2,3],[4,5,6],[7]]
[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[7,4,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7]]
[2,5,1,4,7,6,3]=>[3,6,7,4,1,5,2]=>[4,7,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7]]
[2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]=>[5,4,7,2,6,3,1]=>[[1,3],[2,6],[4,7],[5]]
[2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]=>[5,1,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]
[2,5,1,6,4,3,7]=>[7,3,4,6,1,5,2]=>[4,5,7,2,6,3,1]=>[[1,3,6],[2,5],[4],[7]]
[2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2]=>[4,1,5,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]
[2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]=>[5,4,1,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]
[2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2]=>[4,5,1,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]
[2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]=>[7,5,4,1,2,6,3]=>[[1,2,3],[4,6],[5],[7]]
[2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2]=>[5,7,4,1,2,6,3]=>[[1,2,3],[4,6],[5,7]]
[2,5,1,7,4,3,6]=>[6,3,4,7,1,5,2]=>[7,4,5,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]
[2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2]=>[4,7,5,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]
[2,5,1,7,6,3,4]=>[4,3,6,7,1,5,2]=>[5,4,7,1,2,6,3]=>[[1,2,3],[4,6],[5,7]]
[2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2]=>[4,5,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]
[2,5,3,1,4,6,7]=>[7,6,4,1,3,5,2]=>[7,5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7]]
[2,5,3,1,4,7,6]=>[6,7,4,1,3,5,2]=>[7,1,5,2,4,6,3]=>[[1,2,3,6],[4],[5],[7]]
[2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2]=>[5,7,2,4,6,3,1]=>[[1,3,6],[2,7],[4],[5]]
[2,5,3,1,6,7,4]=>[4,7,6,1,3,5,2]=>[5,1,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5]]
[2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2]=>[7,5,1,2,4,6,3]=>[[1,2,3,6],[4],[5],[7]]
[2,5,3,1,7,6,4]=>[4,6,7,1,3,5,2]=>[5,7,1,2,4,6,3]=>[[1,2,3,6],[4,7],[5]]
[2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2]=>[7,2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7]]
[2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2]=>[7,1,2,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]
[2,5,3,4,6,1,7]=>[7,1,6,4,3,5,2]=>[2,7,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7]]
[2,5,3,4,6,7,1]=>[1,7,6,4,3,5,2]=>[2,1,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]
[2,5,3,4,7,1,6]=>[6,1,7,4,3,5,2]=>[7,2,1,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]
[2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2]=>[2,7,1,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]
[2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2]=>[5,2,7,4,6,3,1]=>[[1,3,6],[2,7],[4],[5]]
[2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2]=>[5,1,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5]]
[2,5,3,6,4,1,7]=>[7,1,4,6,3,5,2]=>[2,5,7,4,6,3,1]=>[[1,3,6],[2,7],[4],[5]]
[2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2]=>[2,1,5,7,4,6,3]=>[[1,3,6],[2,4,7],[5]]
[2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2]=>[5,2,1,7,4,6,3]=>[[1,3,6],[2,4],[5,7]]
[2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2]=>[2,5,1,7,4,6,3]=>[[1,3,6],[2,4,7],[5]]
[2,5,3,7,1,4,6]=>[6,4,1,7,3,5,2]=>[7,5,2,1,4,6,3]=>[[1,3,6],[2,4],[5],[7]]
[2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2]=>[5,7,2,1,4,6,3]=>[[1,3,6],[2,4],[5,7]]
[2,5,3,7,4,1,6]=>[6,1,4,7,3,5,2]=>[7,2,5,1,4,6,3]=>[[1,3,6],[2,4],[5],[7]]
[2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2]=>[2,7,5,1,4,6,3]=>[[1,3,6],[2,4],[5],[7]]
[2,5,3,7,6,1,4]=>[4,1,6,7,3,5,2]=>[5,2,7,1,4,6,3]=>[[1,3,6],[2,4],[5,7]]
[2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2]=>[2,5,7,1,4,6,3]=>[[1,3,6],[2,4,7],[5]]
[2,5,4,1,3,6,7]=>[7,6,3,1,4,5,2]=>[7,4,2,5,6,3,1]=>[[1,3,6],[2,5],[4],[7]]
[2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2]=>[7,1,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]
[2,5,4,1,6,3,7]=>[7,3,6,1,4,5,2]=>[4,7,2,5,6,3,1]=>[[1,3,6],[2,5],[4],[7]]
[2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2]=>[4,1,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]
[2,5,4,1,7,3,6]=>[6,3,7,1,4,5,2]=>[7,4,1,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]
[2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2]=>[4,7,1,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]
[2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]=>[7,2,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7]]
[2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]=>[7,1,2,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]
[2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]=>[2,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7]]
[2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]=>[2,1,7,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,4,3,7,1,6]=>[6,1,7,3,4,5,2]=>[7,2,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]=>[2,7,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2]=>[4,2,7,5,6,3,1]=>[[1,3,6],[2,5],[4],[7]]
[2,5,4,6,1,7,3]=>[3,7,1,6,4,5,2]=>[4,1,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7]]
[2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]=>[2,4,7,5,6,3,1]=>[[1,3,5,6],[2],[4],[7]]
[2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]=>[2,1,4,7,5,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2]=>[4,2,1,7,5,6,3]=>[[1,3,6],[2,5],[4,7]]
[2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>[2,4,1,7,5,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,4,7,1,3,6]=>[6,3,1,7,4,5,2]=>[7,4,2,1,5,6,3]=>[[1,3,6],[2,5],[4],[7]]
[2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2]=>[4,7,2,1,5,6,3]=>[[1,3,6],[2,5],[4,7]]
[2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2]=>[7,2,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2]=>[2,7,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2]=>[4,2,7,1,5,6,3]=>[[1,3,6],[2,5],[4,7]]
[2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>[2,4,7,1,5,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]=>[5,4,2,7,6,3,1]=>[[1,3],[2,6],[4,7],[5]]
[2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]=>[5,1,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]
[2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2]=>[4,5,2,7,6,3,1]=>[[1,3,6],[2,5],[4],[7]]
[2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2]=>[4,1,5,2,7,6,3]=>[[1,2,3],[4,5,6],[7]]
[2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]=>[5,4,1,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]
[2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2]=>[4,5,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7]]
[2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2]=>[5,2,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5]]
[2,5,6,3,1,7,4]=>[4,7,1,3,6,5,2]=>[5,1,2,4,7,6,3]=>[[1,2,3,6],[4,7],[5]]
[2,5,6,3,4,1,7]=>[7,1,4,3,6,5,2]=>[2,5,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5]]
[2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]=>[2,1,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5]]
[2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2]=>[5,2,1,4,7,6,3]=>[[1,3,6],[2,4],[5,7]]
[2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]=>[2,5,1,4,7,6,3]=>[[1,3,6],[2,4,7],[5]]
[2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2]=>[4,2,5,7,6,3,1]=>[[1,3,6],[2,5],[4],[7]]
[2,5,6,4,1,7,3]=>[3,7,1,4,6,5,2]=>[4,1,2,5,7,6,3]=>[[1,2,3,6],[4,5],[7]]
[2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]=>[2,4,5,7,6,3,1]=>[[1,3,5,6],[2],[4],[7]]
[2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]=>[2,1,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,6,4,7,1,3]=>[3,1,7,4,6,5,2]=>[4,2,1,5,7,6,3]=>[[1,3,6],[2,5],[4,7]]
[2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>[2,4,1,5,7,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]=>[5,4,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5]]
[2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2]=>[4,5,2,1,7,6,3]=>[[1,3,6],[2,5],[4,7]]
[2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2]=>[5,2,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7]]
[2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]=>[2,5,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7]]
[2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2]=>[4,2,5,1,7,6,3]=>[[1,3,6],[2,5],[4,7]]
[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>[2,4,5,1,7,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>[7,5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5],[7]]
[2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2]=>[5,7,4,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]
[2,5,7,1,4,3,6]=>[6,3,4,1,7,5,2]=>[7,4,5,2,1,6,3]=>[[1,3,6],[2,5],[4],[7]]
[2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2]=>[4,7,5,2,1,6,3]=>[[1,3,6],[2,5],[4],[7]]
[2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2]=>[5,4,7,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]
[2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2]=>[4,5,7,2,1,6,3]=>[[1,3,6],[2,5],[4,7]]
[2,5,7,3,1,4,6]=>[6,4,1,3,7,5,2]=>[7,5,2,4,1,6,3]=>[[1,3,6],[2,4],[5],[7]]
[2,5,7,3,1,6,4]=>[4,6,1,3,7,5,2]=>[5,7,2,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]
[2,5,7,3,4,1,6]=>[6,1,4,3,7,5,2]=>[7,2,5,4,1,6,3]=>[[1,3,6],[2,4],[5],[7]]
[2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2]=>[2,7,5,4,1,6,3]=>[[1,3,6],[2,4],[5],[7]]
[2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2]=>[5,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]
[2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2]=>[2,5,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]
[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[7,4,2,5,1,6,3]=>[[1,3,6],[2,5],[4],[7]]
[2,5,7,4,1,6,3]=>[3,6,1,4,7,5,2]=>[4,7,2,5,1,6,3]=>[[1,3,6],[2,5],[4,7]]
[2,5,7,4,3,1,6]=>[6,1,3,4,7,5,2]=>[7,2,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2]=>[2,7,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2]=>[4,2,7,5,1,6,3]=>[[1,3,6],[2,5],[4,7]]
[2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2]=>[2,4,7,5,1,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,5,7,6,1,3,4]=>[4,3,1,6,7,5,2]=>[5,4,2,7,1,6,3]=>[[1,3],[2,6],[4,7],[5]]
[2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2]=>[4,5,2,7,1,6,3]=>[[1,3,6],[2,5],[4,7]]
[2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2]=>[5,2,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7]]
[2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]=>[2,5,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7]]
[2,5,7,6,4,1,3]=>[3,1,4,6,7,5,2]=>[4,2,5,7,1,6,3]=>[[1,3,6],[2,5],[4,7]]
[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>[2,4,5,7,1,6,3]=>[[1,3,5,6],[2,4],[7]]
[2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>[6,5,4,2,7,3,1]=>[[1,3],[2,7],[4],[5],[6]]
[2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]=>[6,1,5,4,2,7,3]=>[[1,2,3],[4,7],[5],[6]]
[2,6,1,3,5,4,7]=>[7,4,5,3,1,6,2]=>[5,6,4,2,7,3,1]=>[[1,3,7],[2,6],[4],[5]]
[2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2]=>[5,1,6,4,2,7,3]=>[[1,2,3],[4,6,7],[5]]
[2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]=>[6,5,1,4,2,7,3]=>[[1,2,3],[4,7],[5],[6]]
[2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2]=>[5,6,1,4,2,7,3]=>[[1,2,3],[4,6,7],[5]]
[2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2]=>[6,4,5,2,7,3,1]=>[[1,3,7],[2,5],[4],[6]]
[2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2]=>[6,1,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6]]
[2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2]=>[4,6,5,2,7,3,1]=>[[1,3,7],[2,5],[4],[6]]
[2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2]=>[4,1,6,5,2,7,3]=>[[1,2,3],[4,5,7],[6]]
[2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2]=>[6,4,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6]]
[2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2]=>[4,6,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6]]
[2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2]=>[5,4,6,2,7,3,1]=>[[1,3,7],[2,6],[4],[5]]
[2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2]=>[5,1,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5]]
[2,6,1,5,4,3,7]=>[7,3,4,5,1,6,2]=>[4,5,6,2,7,3,1]=>[[1,3,6,7],[2,5],[4]]
[2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2]=>[4,1,5,6,2,7,3]=>[[1,2,3,7],[4,5,6]]
[2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2]=>[5,4,1,6,2,7,3]=>[[1,2,3],[4,6,7],[5]]
[2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2]=>[4,5,1,6,2,7,3]=>[[1,2,3,7],[4,5,6]]
[2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]=>[6,5,4,1,2,7,3]=>[[1,2,3],[4,7],[5],[6]]
[2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2]=>[5,6,4,1,2,7,3]=>[[1,2,3],[4,6,7],[5]]
[2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2]=>[6,4,5,1,2,7,3]=>[[1,2,3],[4,5,7],[6]]
[2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2]=>[4,6,5,1,2,7,3]=>[[1,2,3],[4,5,7],[6]]
[2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2]=>[5,4,6,1,2,7,3]=>[[1,2,3],[4,6,7],[5]]
[2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2]=>[4,5,6,1,2,7,3]=>[[1,2,3,7],[4,5,6]]
[2,6,3,1,4,5,7]=>[7,5,4,1,3,6,2]=>[6,5,2,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6]]
[2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2]=>[6,1,5,2,4,7,3]=>[[1,2,3,7],[4],[5],[6]]
[2,6,3,1,5,4,7]=>[7,4,5,1,3,6,2]=>[5,6,2,4,7,3,1]=>[[1,3,7],[2,6],[4],[5]]
[2,6,3,1,5,7,4]=>[4,7,5,1,3,6,2]=>[5,1,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]
[2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2]=>[6,5,1,2,4,7,3]=>[[1,2,3,7],[4],[5],[6]]
[2,6,3,1,7,5,4]=>[4,5,7,1,3,6,2]=>[5,6,1,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]
[2,6,3,4,1,5,7]=>[7,5,1,4,3,6,2]=>[6,2,5,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6]]
[2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2]=>[6,1,2,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]
[2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2]=>[2,6,5,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6]]
[2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]=>[2,1,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6]]
[2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2]=>[6,2,1,5,4,7,3]=>[[1,3,7],[2,4],[5],[6]]
[2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2]=>[2,6,1,5,4,7,3]=>[[1,3,7],[2,4],[5],[6]]
[2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2]=>[5,2,6,4,7,3,1]=>[[1,3,7],[2,6],[4],[5]]
[2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2]=>[5,1,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5]]
[2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2]=>[2,5,6,4,7,3,1]=>[[1,3,6,7],[2],[4],[5]]
[2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2]=>[2,1,5,6,4,7,3]=>[[1,3,6,7],[2,4],[5]]
[2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2]=>[5,2,1,6,4,7,3]=>[[1,3,7],[2,4],[5,6]]
[2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2]=>[2,5,1,6,4,7,3]=>[[1,3,6,7],[2,4],[5]]
[2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2]=>[6,5,2,1,4,7,3]=>[[1,3,7],[2,4],[5],[6]]
[2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2]=>[5,6,2,1,4,7,3]=>[[1,3,7],[2,4],[5,6]]
[2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2]=>[6,2,5,1,4,7,3]=>[[1,3,7],[2,4],[5],[6]]
[2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2]=>[2,6,5,1,4,7,3]=>[[1,3,7],[2,4],[5],[6]]
[2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2]=>[5,2,6,1,4,7,3]=>[[1,3,7],[2,4],[5,6]]
[2,6,3,7,5,4,1]=>[1,4,5,7,3,6,2]=>[2,5,6,1,4,7,3]=>[[1,3,6,7],[2,4],[5]]
[2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2]=>[6,4,2,5,7,3,1]=>[[1,3,7],[2,5],[4],[6]]
[2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2]=>[6,1,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]
[2,6,4,1,5,3,7]=>[7,3,5,1,4,6,2]=>[4,6,2,5,7,3,1]=>[[1,3,7],[2,5],[4],[6]]
[2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2]=>[4,1,6,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]
[2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2]=>[6,4,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]
[2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2]=>[4,6,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]
[2,6,4,3,1,5,7]=>[7,5,1,3,4,6,2]=>[6,2,4,5,7,3,1]=>[[1,3,5,7],[2],[4],[6]]
[2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2]=>[6,1,2,4,5,7,3]=>[[1,2,3,5,7],[4],[6]]
[2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2]=>[2,6,4,5,7,3,1]=>[[1,3,5,7],[2],[4],[6]]
[2,6,4,3,5,7,1]=>[1,7,5,3,4,6,2]=>[2,1,6,4,5,7,3]=>[[1,3,5,7],[2,4],[6]]
[2,6,4,3,7,1,5]=>[5,1,7,3,4,6,2]=>[6,2,1,4,5,7,3]=>[[1,3,5,7],[2,4],[6]]
[2,6,4,3,7,5,1]=>[1,5,7,3,4,6,2]=>[2,6,1,4,5,7,3]=>[[1,3,5,7],[2,4],[6]]
[2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2]=>[4,2,6,5,7,3,1]=>[[1,3,7],[2,5],[4],[6]]
[2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2]=>[4,1,2,6,5,7,3]=>[[1,2,3,7],[4,5],[6]]
[2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2]=>[2,4,6,5,7,3,1]=>[[1,3,5,7],[2],[4],[6]]
[2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2]=>[2,1,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6]]
[2,6,4,5,7,1,3]=>[3,1,7,5,4,6,2]=>[4,2,1,6,5,7,3]=>[[1,3,7],[2,5],[4,6]]
[2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2]=>[2,4,1,6,5,7,3]=>[[1,3,5,7],[2,4],[6]]
[2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2]=>[6,4,2,1,5,7,3]=>[[1,3,7],[2,5],[4],[6]]
[2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2]=>[4,6,2,1,5,7,3]=>[[1,3,7],[2,5],[4,6]]
[2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2]=>[6,2,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]
[2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2]=>[2,6,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]
[2,6,4,7,5,1,3]=>[3,1,5,7,4,6,2]=>[4,2,6,1,5,7,3]=>[[1,3,7],[2,5],[4,6]]
[2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2]=>[2,4,6,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]
[2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2]=>[5,4,2,6,7,3,1]=>[[1,3,7],[2,6],[4],[5]]
[2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>[[1,2,3,7],[4,6],[5]]
[2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2]=>[4,5,2,6,7,3,1]=>[[1,3,6,7],[2,5],[4]]
[2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2]=>[4,1,5,2,6,7,3]=>[[1,2,3,7],[4,5,6]]
[2,6,5,1,7,3,4]=>[4,3,7,1,5,6,2]=>[5,4,1,2,6,7,3]=>[[1,2,3,7],[4,6],[5]]
[2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2]=>[4,5,1,2,6,7,3]=>[[1,2,3,7],[4,5,6]]
[2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2]=>[5,2,4,6,7,3,1]=>[[1,3,6,7],[2],[4],[5]]
[2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2]=>[5,1,2,4,6,7,3]=>[[1,2,3,6,7],[4],[5]]
[2,6,5,3,4,1,7]=>[7,1,4,3,5,6,2]=>[2,5,4,6,7,3,1]=>[[1,3,6,7],[2],[4],[5]]
[2,6,5,3,4,7,1]=>[1,7,4,3,5,6,2]=>[2,1,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5]]
[2,6,5,3,7,1,4]=>[4,1,7,3,5,6,2]=>[5,2,1,4,6,7,3]=>[[1,3,6,7],[2,4],[5]]
[2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2]=>[2,5,1,4,6,7,3]=>[[1,3,6,7],[2,4],[5]]
[2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2]=>[4,2,5,6,7,3,1]=>[[1,3,6,7],[2,5],[4]]
[2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2]=>[4,1,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]
[2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>[2,4,5,6,7,3,1]=>[[1,3,5,6,7],[2],[4]]
[2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]=>[2,1,4,5,6,7,3]=>[[1,3,5,6,7],[2,4]]
[2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2]=>[4,2,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4]]
[2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>[2,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,4]]
[2,6,5,7,1,3,4]=>[4,3,1,7,5,6,2]=>[5,4,2,1,6,7,3]=>[[1,3,7],[2,6],[4],[5]]
[2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2]=>[4,5,2,1,6,7,3]=>[[1,3,6,7],[2,5],[4]]
[2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2]=>[5,2,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5]]
[2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2]=>[2,5,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5]]
[2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2]=>[4,2,5,1,6,7,3]=>[[1,3,6,7],[2,5],[4]]
[2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>[2,4,5,1,6,7,3]=>[[1,3,5,6,7],[2,4]]
[2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>[6,5,4,2,1,7,3]=>[[1,3],[2,7],[4],[5],[6]]
[2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2]=>[5,6,4,2,1,7,3]=>[[1,3,7],[2,6],[4],[5]]
[2,6,7,1,4,3,5]=>[5,3,4,1,7,6,2]=>[6,4,5,2,1,7,3]=>[[1,3,7],[2,5],[4],[6]]
[2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2]=>[4,6,5,2,1,7,3]=>[[1,3,7],[2,5],[4],[6]]
[2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2]=>[5,4,6,2,1,7,3]=>[[1,3,7],[2,6],[4],[5]]
[2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2]=>[4,5,6,2,1,7,3]=>[[1,3,6,7],[2,5],[4]]
[2,6,7,3,1,4,5]=>[5,4,1,3,7,6,2]=>[6,5,2,4,1,7,3]=>[[1,3,7],[2,4],[5],[6]]
[2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2]=>[5,6,2,4,1,7,3]=>[[1,3,7],[2,4],[5,6]]
[2,6,7,3,4,1,5]=>[5,1,4,3,7,6,2]=>[6,2,5,4,1,7,3]=>[[1,3,7],[2,4],[5],[6]]
[2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2]=>[2,6,5,4,1,7,3]=>[[1,3,7],[2,4],[5],[6]]
[2,6,7,3,5,1,4]=>[4,1,5,3,7,6,2]=>[5,2,6,4,1,7,3]=>[[1,3,7],[2,4],[5,6]]
[2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]=>[2,5,6,4,1,7,3]=>[[1,3,6,7],[2,4],[5]]
[2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2]=>[6,4,2,5,1,7,3]=>[[1,3,7],[2,5],[4],[6]]
[2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2]=>[4,6,2,5,1,7,3]=>[[1,3,7],[2,5],[4,6]]
[2,6,7,4,3,1,5]=>[5,1,3,4,7,6,2]=>[6,2,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6]]
[2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2]=>[2,6,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6]]
[2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2]=>[4,2,6,5,1,7,3]=>[[1,3,7],[2,5],[4,6]]
[2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]=>[2,4,6,5,1,7,3]=>[[1,3,5,7],[2,4],[6]]
[2,6,7,5,1,3,4]=>[4,3,1,5,7,6,2]=>[5,4,2,6,1,7,3]=>[[1,3,7],[2,6],[4],[5]]
[2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2]=>[4,5,2,6,1,7,3]=>[[1,3,6,7],[2,5],[4]]
[2,6,7,5,3,1,4]=>[4,1,3,5,7,6,2]=>[5,2,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5]]
[2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2]=>[2,5,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5]]
[2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2]=>[4,2,5,6,1,7,3]=>[[1,3,6,7],[2,5],[4]]
[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>[2,4,5,6,1,7,3]=>[[1,3,5,6,7],[2,4]]
[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>[7,6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6],[7]]
[2,7,1,3,4,6,5]=>[5,6,4,3,1,7,2]=>[6,7,5,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]
[2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2]=>[7,5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]
[2,7,1,3,5,6,4]=>[4,6,5,3,1,7,2]=>[5,7,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]
[2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2]=>[6,5,7,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]
[2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2]=>[5,6,7,4,2,1,3]=>[[1,3,7],[2,6],[4],[5]]
[2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2]=>[7,6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7]]
[2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2]=>[6,7,4,5,2,1,3]=>[[1,3],[2,5],[4,7],[6]]
[2,7,1,4,5,3,6]=>[6,3,5,4,1,7,2]=>[7,4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7]]
[2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2]=>[4,7,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7]]
[2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2]=>[6,4,7,5,2,1,3]=>[[1,3],[2,5],[4,7],[6]]
[2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2]=>[4,6,7,5,2,1,3]=>[[1,3,7],[2,5],[4],[6]]
[2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2]=>[7,5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]
[2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2]=>[5,7,4,6,2,1,3]=>[[1,3],[2,6],[4,7],[5]]
[2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2]=>[7,4,5,6,2,1,3]=>[[1,3,6],[2,5],[4],[7]]
[2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2]=>[4,7,5,6,2,1,3]=>[[1,3,6],[2,5],[4],[7]]
[2,7,1,5,6,3,4]=>[4,3,6,5,1,7,2]=>[5,4,7,6,2,1,3]=>[[1,3],[2,6],[4,7],[5]]
[2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2]=>[4,5,7,6,2,1,3]=>[[1,3,6],[2,5],[4],[7]]
[2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2]=>[6,5,4,7,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]
[2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2]=>[5,6,4,7,2,1,3]=>[[1,3,7],[2,6],[4],[5]]
[2,7,1,6,4,3,5]=>[5,3,4,6,1,7,2]=>[6,4,5,7,2,1,3]=>[[1,3,7],[2,5],[4],[6]]
[2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2]=>[4,6,5,7,2,1,3]=>[[1,3,7],[2,5],[4],[6]]
[2,7,1,6,5,3,4]=>[4,3,5,6,1,7,2]=>[5,4,6,7,2,1,3]=>[[1,3,7],[2,6],[4],[5]]
[2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]=>[4,5,6,7,2,1,3]=>[[1,3,6,7],[2,5],[4]]
[2,7,3,1,4,5,6]=>[6,5,4,1,3,7,2]=>[7,6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,7,3,1,4,6,5]=>[5,6,4,1,3,7,2]=>[6,7,5,2,4,1,3]=>[[1,3],[2,4],[5,7],[6]]
[2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2]=>[7,5,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7]]
[2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2]=>[5,7,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7]]
[2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2]=>[6,5,7,2,4,1,3]=>[[1,3],[2,4],[5,7],[6]]
[2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2]=>[5,6,7,2,4,1,3]=>[[1,3,7],[2,4],[5,6]]
[2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2]=>[7,6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2]=>[6,7,2,5,4,1,3]=>[[1,3],[2,4],[5,7],[6]]
[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[7,2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]=>[2,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]
[2,7,3,4,6,1,5]=>[5,1,6,4,3,7,2]=>[6,2,7,5,4,1,3]=>[[1,3],[2,4],[5,7],[6]]
[2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]=>[2,6,7,5,4,1,3]=>[[1,3,7],[2,4],[5],[6]]
[2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2]=>[7,5,2,6,4,1,3]=>[[1,3],[2,4],[5,6],[7]]
[2,7,3,5,1,6,4]=>[4,6,1,5,3,7,2]=>[5,7,2,6,4,1,3]=>[[1,3],[2,4],[5,6],[7]]
[2,7,3,5,4,1,6]=>[6,1,4,5,3,7,2]=>[7,2,5,6,4,1,3]=>[[1,3,6],[2,4],[5],[7]]
[2,7,3,5,4,6,1]=>[1,6,4,5,3,7,2]=>[2,7,5,6,4,1,3]=>[[1,3,6],[2,4],[5],[7]]
[2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2]=>[5,2,7,6,4,1,3]=>[[1,3],[2,4],[5,6],[7]]
[2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]=>[2,5,7,6,4,1,3]=>[[1,3,6],[2,4],[5],[7]]
[2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2]=>[6,5,2,7,4,1,3]=>[[1,3],[2,4],[5,7],[6]]
[2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2]=>[5,6,2,7,4,1,3]=>[[1,3,7],[2,4],[5,6]]
[2,7,3,6,4,1,5]=>[5,1,4,6,3,7,2]=>[6,2,5,7,4,1,3]=>[[1,3,7],[2,4],[5],[6]]
[2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2]=>[2,6,5,7,4,1,3]=>[[1,3,7],[2,4],[5],[6]]
[2,7,3,6,5,1,4]=>[4,1,5,6,3,7,2]=>[5,2,6,7,4,1,3]=>[[1,3,7],[2,4],[5,6]]
[2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]=>[2,5,6,7,4,1,3]=>[[1,3,6,7],[2,4],[5]]
[2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2]=>[7,6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6],[7]]
[2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2]=>[6,7,4,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]
[2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2]=>[7,4,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7]]
[2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2]=>[4,7,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7]]
[2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2]=>[6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]
[2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2]=>[4,6,7,2,5,1,3]=>[[1,3,7],[2,5],[4,6]]
[2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2]=>[7,6,2,4,5,1,3]=>[[1,3,5],[2,4],[6],[7]]
[2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2]=>[6,7,2,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]
[2,7,4,3,5,1,6]=>[6,1,5,3,4,7,2]=>[7,2,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7]]
[2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2]=>[2,7,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7]]
[2,7,4,3,6,1,5]=>[5,1,6,3,4,7,2]=>[6,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]
[2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2]=>[2,6,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]
[2,7,4,5,1,3,6]=>[6,3,1,5,4,7,2]=>[7,4,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7]]
[2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2]=>[4,7,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7]]
[2,7,4,5,3,1,6]=>[6,1,3,5,4,7,2]=>[7,2,4,6,5,1,3]=>[[1,3,5],[2,4],[6],[7]]
[2,7,4,5,3,6,1]=>[1,6,3,5,4,7,2]=>[2,7,4,6,5,1,3]=>[[1,3,5],[2,4],[6],[7]]
[2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2]=>[4,2,7,6,5,1,3]=>[[1,3],[2,5],[4,6],[7]]
[2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]=>[2,4,7,6,5,1,3]=>[[1,3,5],[2,4],[6],[7]]
[2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2]=>[6,4,2,7,5,1,3]=>[[1,3],[2,5],[4,7],[6]]
[2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2]=>[4,6,2,7,5,1,3]=>[[1,3,7],[2,5],[4,6]]
[2,7,4,6,3,1,5]=>[5,1,3,6,4,7,2]=>[6,2,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7]]
[2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2]=>[2,6,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7]]
[2,7,4,6,5,1,3]=>[3,1,5,6,4,7,2]=>[4,2,6,7,5,1,3]=>[[1,3,7],[2,5],[4,6]]
[2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2]=>[2,4,6,7,5,1,3]=>[[1,3,5,7],[2,4],[6]]
[2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2]=>[7,5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5],[7]]
[2,7,5,1,3,6,4]=>[4,6,3,1,5,7,2]=>[5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,7],[5]]
[2,7,5,1,4,3,6]=>[6,3,4,1,5,7,2]=>[7,4,5,2,6,1,3]=>[[1,3,6],[2,5],[4],[7]]
[2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2]=>[4,7,5,2,6,1,3]=>[[1,3,6],[2,5],[4],[7]]
[2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2]=>[5,4,7,2,6,1,3]=>[[1,3],[2,6],[4,7],[5]]
[2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2]=>[4,5,7,2,6,1,3]=>[[1,3,6],[2,5],[4,7]]
[2,7,5,3,1,4,6]=>[6,4,1,3,5,7,2]=>[7,5,2,4,6,1,3]=>[[1,3,6],[2,4],[5],[7]]
[2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2]=>[5,7,2,4,6,1,3]=>[[1,3,6],[2,4],[5,7]]
[2,7,5,3,4,1,6]=>[6,1,4,3,5,7,2]=>[7,2,5,4,6,1,3]=>[[1,3,6],[2,4],[5],[7]]
[2,7,5,3,4,6,1]=>[1,6,4,3,5,7,2]=>[2,7,5,4,6,1,3]=>[[1,3,6],[2,4],[5],[7]]
[2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2]=>[5,2,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7]]
[2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2]=>[2,5,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7]]
[2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2]=>[7,4,2,5,6,1,3]=>[[1,3,6],[2,5],[4],[7]]
[2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2]=>[4,7,2,5,6,1,3]=>[[1,3,6],[2,5],[4,7]]
[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[7,2,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]
[2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2]=>[2,7,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]
[2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2]=>[4,2,7,5,6,1,3]=>[[1,3,6],[2,5],[4,7]]
[2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2]=>[2,4,7,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]
[2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2]=>[5,4,2,7,6,1,3]=>[[1,3],[2,6],[4,7],[5]]
[2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2]=>[4,5,2,7,6,1,3]=>[[1,3,6],[2,5],[4,7]]
[2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2]=>[5,2,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7]]
[2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2]=>[2,5,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7]]
[2,7,5,6,4,1,3]=>[3,1,4,6,5,7,2]=>[4,2,5,7,6,1,3]=>[[1,3,6],[2,5],[4,7]]
[2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2]=>[2,4,5,7,6,1,3]=>[[1,3,5,6],[2,4],[7]]
[2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2]=>[6,5,4,2,7,1,3]=>[[1,3],[2,7],[4],[5],[6]]
[2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2]=>[5,6,4,2,7,1,3]=>[[1,3,7],[2,6],[4],[5]]
[2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2]=>[6,4,5,2,7,1,3]=>[[1,3,7],[2,5],[4],[6]]
[2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2]=>[4,6,5,2,7,1,3]=>[[1,3,7],[2,5],[4],[6]]
[2,7,6,1,5,3,4]=>[4,3,5,1,6,7,2]=>[5,4,6,2,7,1,3]=>[[1,3,7],[2,6],[4],[5]]
[2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]=>[4,5,6,2,7,1,3]=>[[1,3,6,7],[2,5],[4]]
[2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2]=>[6,5,2,4,7,1,3]=>[[1,3,7],[2,4],[5],[6]]
[2,7,6,3,1,5,4]=>[4,5,1,3,6,7,2]=>[5,6,2,4,7,1,3]=>[[1,3,7],[2,4],[5,6]]
[2,7,6,3,4,1,5]=>[5,1,4,3,6,7,2]=>[6,2,5,4,7,1,3]=>[[1,3,7],[2,4],[5],[6]]
[2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]=>[2,6,5,4,7,1,3]=>[[1,3,7],[2,4],[5],[6]]
[2,7,6,3,5,1,4]=>[4,1,5,3,6,7,2]=>[5,2,6,4,7,1,3]=>[[1,3,7],[2,4],[5,6]]
[2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]=>[2,5,6,4,7,1,3]=>[[1,3,6,7],[2,4],[5]]
[2,7,6,4,1,3,5]=>[5,3,1,4,6,7,2]=>[6,4,2,5,7,1,3]=>[[1,3,7],[2,5],[4],[6]]
[2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2]=>[4,6,2,5,7,1,3]=>[[1,3,7],[2,5],[4,6]]
[2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2]=>[6,2,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6]]
[2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2]=>[2,6,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6]]
[2,7,6,4,5,1,3]=>[3,1,5,4,6,7,2]=>[4,2,6,5,7,1,3]=>[[1,3,7],[2,5],[4,6]]
[2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2]=>[2,4,6,5,7,1,3]=>[[1,3,5,7],[2,4],[6]]
[2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2]=>[5,4,2,6,7,1,3]=>[[1,3,7],[2,6],[4],[5]]
[2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]=>[4,5,2,6,7,1,3]=>[[1,3,6,7],[2,5],[4]]
[2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2]=>[5,2,4,6,7,1,3]=>[[1,3,6,7],[2,4],[5]]
[2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]=>[2,5,4,6,7,1,3]=>[[1,3,6,7],[2,4],[5]]
[2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2]=>[4,2,5,6,7,1,3]=>[[1,3,6,7],[2,5],[4]]
[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>[2,4,5,6,7,1,3]=>[[1,3,5,6,7],[2,4]]
[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>[7,6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6],[7]]
[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>[7,1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]
[3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]=>[6,7,5,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]
[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[6,1,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]
[3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]=>[7,6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]
[3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]=>[6,7,1,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]
[3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]=>[7,5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]
[3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]=>[7,1,5,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]
[3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]=>[5,7,6,3,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]
[3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]=>[5,1,7,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]
[3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]=>[7,5,1,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]
[3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3]=>[5,7,1,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]
[3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]=>[6,5,7,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]
[3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]=>[6,1,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]
[3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]=>[5,6,7,3,2,4,1]=>[[1,4,7],[2,6],[3],[5]]
[3,1,2,6,5,7,4]=>[4,7,5,6,2,1,3]=>[5,1,6,7,3,2,4]=>[[1,2,4],[3,6,7],[5]]
[3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]=>[6,5,1,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]
[3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3]=>[5,6,1,7,3,2,4]=>[[1,2,4],[3,6,7],[5]]
[3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]=>[7,6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]
[3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3]=>[6,7,5,1,3,2,4]=>[[1,2,4],[3,7],[5],[6]]
[3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]=>[7,5,6,1,3,2,4]=>[[1,2,4],[3,6],[5],[7]]
[3,1,2,7,5,6,4]=>[4,6,5,7,2,1,3]=>[5,7,6,1,3,2,4]=>[[1,2,4],[3,6],[5],[7]]
[3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]=>[6,5,7,1,3,2,4]=>[[1,2,4],[3,7],[5],[6]]
[3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]=>[5,6,7,1,3,2,4]=>[[1,2,4],[3,6,7],[5]]
[3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]=>[7,6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7]]
[3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]=>[7,1,6,3,5,2,4]=>[[1,2,4],[3,5],[6],[7]]
[3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]=>[6,7,3,5,2,4,1]=>[[1,4],[2,5],[3,7],[6]]
[3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]=>[6,1,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]
[3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]=>[7,6,1,3,5,2,4]=>[[1,2,4],[3,5],[6],[7]]
[3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3]=>[6,7,1,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]
[3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]=>[7,3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7]]
[3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]=>[7,1,3,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]
[3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]=>[3,7,6,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7]]
[3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]=>[3,1,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]
[3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]=>[7,3,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]
[3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3]=>[3,7,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]
[3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]=>[6,3,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6]]
[3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]=>[6,1,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]
[3,1,4,6,5,2,7]=>[7,2,5,6,4,1,3]=>[3,6,7,5,2,4,1]=>[[1,4,7],[2,5],[3],[6]]
[3,1,4,6,5,7,2]=>[2,7,5,6,4,1,3]=>[3,1,6,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]
[3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]=>[6,3,1,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]
[3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3]=>[3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]
[3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]=>[7,6,3,1,5,2,4]=>[[1,2,4],[3,5],[6],[7]]
[3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3]=>[6,7,3,1,5,2,4]=>[[1,2,4],[3,5],[6,7]]
[3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3]=>[7,3,6,1,5,2,4]=>[[1,2,4],[3,5],[6],[7]]
[3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3]=>[3,7,6,1,5,2,4]=>[[1,2,4],[3,5],[6],[7]]
[3,1,4,7,6,2,5]=>[5,2,6,7,4,1,3]=>[6,3,7,1,5,2,4]=>[[1,2,4],[3,5],[6,7]]
[3,1,4,7,6,5,2]=>[2,5,6,7,4,1,3]=>[3,6,7,1,5,2,4]=>[[1,2,4],[3,5,7],[6]]
[3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]=>[7,5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]
[3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]=>[7,1,5,3,6,2,4]=>[[1,2,4],[3,6],[5],[7]]
[3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]=>[5,7,3,6,2,4,1]=>[[1,4],[2,6],[3,7],[5]]
[3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3]=>[5,1,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]
[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>[7,5,1,3,6,2,4]=>[[1,2,4],[3,6],[5],[7]]
[3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3]=>[5,7,1,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]
[3,1,5,4,2,6,7]=>[7,6,2,4,5,1,3]=>[7,3,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7]]
[3,1,5,4,2,7,6]=>[6,7,2,4,5,1,3]=>[7,1,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]
[3,1,5,4,6,2,7]=>[7,2,6,4,5,1,3]=>[3,7,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7]]
[3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3]=>[3,1,7,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]
[3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3]=>[7,3,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]
[3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3]=>[3,7,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]
[3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3]=>[5,3,7,6,2,4,1]=>[[1,4],[2,6],[3,7],[5]]
[3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3]=>[5,1,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]
[3,1,5,6,4,2,7]=>[7,2,4,6,5,1,3]=>[3,5,7,6,2,4,1]=>[[1,4,6],[2,5],[3],[7]]
[3,1,5,6,4,7,2]=>[2,7,4,6,5,1,3]=>[3,1,5,7,6,2,4]=>[[1,2,4],[3,5,6],[7]]
[3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3]=>[5,3,1,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]
[3,1,5,6,7,4,2]=>[2,4,7,6,5,1,3]=>[3,5,1,7,6,2,4]=>[[1,2,4],[3,5,6],[7]]
[3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3]=>[7,5,3,1,6,2,4]=>[[1,2,4],[3,6],[5],[7]]
[3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3]=>[5,7,3,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]
[3,1,5,7,4,2,6]=>[6,2,4,7,5,1,3]=>[7,3,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]
[3,1,5,7,4,6,2]=>[2,6,4,7,5,1,3]=>[3,7,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]
[3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3]=>[5,3,7,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]
[3,1,5,7,6,4,2]=>[2,4,6,7,5,1,3]=>[3,5,7,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]
[3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]=>[6,5,3,7,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]
[3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]=>[6,1,5,3,7,2,4]=>[[1,2,4],[3,7],[5],[6]]
[3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3]=>[5,6,3,7,2,4,1]=>[[1,4,7],[2,6],[3],[5]]
[3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3]=>[5,1,6,3,7,2,4]=>[[1,2,4],[3,6,7],[5]]
[3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3]=>[6,5,1,3,7,2,4]=>[[1,2,4],[3,7],[5],[6]]
[3,1,6,2,7,5,4]=>[4,5,7,2,6,1,3]=>[5,6,1,3,7,2,4]=>[[1,2,4],[3,6,7],[5]]
[3,1,6,4,2,5,7]=>[7,5,2,4,6,1,3]=>[6,3,5,7,2,4,1]=>[[1,4,7],[2,5],[3],[6]]
[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[6,1,3,5,7,2,4]=>[[1,2,4,7],[3,5],[6]]
[3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3]=>[3,6,5,7,2,4,1]=>[[1,4,7],[2,5],[3],[6]]
[3,1,6,4,5,7,2]=>[2,7,5,4,6,1,3]=>[3,1,6,5,7,2,4]=>[[1,2,4],[3,5,7],[6]]
[3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3]=>[6,3,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6]]
[3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3]=>[3,6,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6]]
[3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3]=>[5,3,6,7,2,4,1]=>[[1,4,7],[2,6],[3],[5]]
[3,1,6,5,2,7,4]=>[4,7,2,5,6,1,3]=>[5,1,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5]]
[3,1,6,5,4,2,7]=>[7,2,4,5,6,1,3]=>[3,5,6,7,2,4,1]=>[[1,4,6,7],[2,5],[3]]
[3,1,6,5,4,7,2]=>[2,7,4,5,6,1,3]=>[3,1,5,6,7,2,4]=>[[1,2,4,7],[3,5,6]]
[3,1,6,5,7,2,4]=>[4,2,7,5,6,1,3]=>[5,3,1,6,7,2,4]=>[[1,2,4],[3,6,7],[5]]
[3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3]=>[3,5,1,6,7,2,4]=>[[1,2,4,7],[3,5,6]]
[3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3]=>[6,5,3,1,7,2,4]=>[[1,2,4],[3,7],[5],[6]]
[3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3]=>[5,6,3,1,7,2,4]=>[[1,2,4],[3,6,7],[5]]
[3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3]=>[6,3,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6]]
[3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3]=>[3,6,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6]]
[3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3]=>[5,3,6,1,7,2,4]=>[[1,2,4],[3,6,7],[5]]
[3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3]=>[3,5,6,1,7,2,4]=>[[1,2,4,7],[3,5,6]]
[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>[7,6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6],[7]]
[3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3]=>[6,7,5,3,1,2,4]=>[[1,2,4],[3,7],[5],[6]]
[3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3]=>[7,5,6,3,1,2,4]=>[[1,2,4],[3,6],[5],[7]]
[3,1,7,2,5,6,4]=>[4,6,5,2,7,1,3]=>[5,7,6,3,1,2,4]=>[[1,2,4],[3,6],[5],[7]]
[3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3]=>[6,5,7,3,1,2,4]=>[[1,2,4],[3,7],[5],[6]]
[3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3]=>[5,6,7,3,1,2,4]=>[[1,2,4],[3,6,7],[5]]
[3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3]=>[7,6,3,5,1,2,4]=>[[1,2,4],[3,5],[6],[7]]
[3,1,7,4,2,6,5]=>[5,6,2,4,7,1,3]=>[6,7,3,5,1,2,4]=>[[1,2,4],[3,5],[6,7]]
[3,1,7,4,5,2,6]=>[6,2,5,4,7,1,3]=>[7,3,6,5,1,2,4]=>[[1,2,4],[3,5],[6],[7]]
[3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3]=>[3,7,6,5,1,2,4]=>[[1,2,4],[3,5],[6],[7]]
[3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3]=>[6,3,7,5,1,2,4]=>[[1,2,4],[3,5],[6,7]]
[3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3]=>[3,6,7,5,1,2,4]=>[[1,2,4],[3,5,7],[6]]
[3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]=>[7,5,3,6,1,2,4]=>[[1,2,4],[3,6],[5],[7]]
[3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3]=>[5,7,3,6,1,2,4]=>[[1,2,4],[3,6],[5,7]]
[3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3]=>[7,3,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]
[3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3]=>[3,7,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]
[3,1,7,5,6,2,4]=>[4,2,6,5,7,1,3]=>[5,3,7,6,1,2,4]=>[[1,2,4],[3,6],[5,7]]
[3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3]=>[3,5,7,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]
[3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3]=>[6,5,3,7,1,2,4]=>[[1,2,4],[3,7],[5],[6]]
[3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3]=>[5,6,3,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]
[3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3]=>[6,3,5,7,1,2,4]=>[[1,2,4],[3,5,7],[6]]
[3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3]=>[3,6,5,7,1,2,4]=>[[1,2,4],[3,5,7],[6]]
[3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3]=>[5,3,6,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]
[3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]=>[3,5,6,7,1,2,4]=>[[1,2,4,7],[3,5,6]]
[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[7,6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]
[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[7,1,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7]]
[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[6,7,5,2,3,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]=>[6,1,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]
[3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3]=>[7,6,1,5,2,3,4]=>[[1,2,3,4],[5],[6],[7]]
[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[6,7,1,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]
[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>[7,5,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[7,1,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]
[3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]=>[5,7,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]=>[5,1,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]
[3,2,1,5,7,4,6]=>[6,4,7,5,1,2,3]=>[7,5,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]
[3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]=>[5,7,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]
[3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3]=>[6,5,7,2,3,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,2,1,6,4,7,5]=>[5,7,4,6,1,2,3]=>[6,1,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6]]
[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5]]
[3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]=>[5,1,6,7,2,3,4]=>[[1,2,3,4],[5,6,7]]
[3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]=>[6,5,1,7,2,3,4]=>[[1,2,3,4],[5,7],[6]]
[3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]=>[5,6,1,7,2,3,4]=>[[1,2,3,4],[5,6,7]]
[3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3]=>[7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7]]
[3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3]=>[6,7,5,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]
[3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]=>[7,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]
[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[5,7,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]
[3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]=>[6,5,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]
[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[5,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7]]
[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>[7,6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]
[3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]=>[7,1,6,2,5,3,4]=>[[1,2,3,4],[5],[6],[7]]
[3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]=>[6,7,2,5,3,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]=>[6,1,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6]]
[3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3]=>[7,6,1,2,5,3,4]=>[[1,2,3,4],[5],[6],[7]]
[3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]=>[6,7,1,2,5,3,4]=>[[1,2,3,4],[5,7],[6]]
[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>[7,2,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]
[3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]=>[7,1,2,6,5,3,4]=>[[1,2,3,4],[5],[6],[7]]
[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>[2,7,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]
[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>[2,1,7,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]
[3,2,4,5,7,1,6]=>[6,1,7,5,4,2,3]=>[7,2,1,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]
[3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]=>[2,7,1,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]
[3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3]=>[6,2,7,5,3,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3]=>[6,1,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]
[3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]=>[2,6,7,5,3,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]=>[2,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]
[3,2,4,6,7,1,5]=>[5,1,7,6,4,2,3]=>[6,2,1,7,5,3,4]=>[[1,3,4],[2,5],[6,7]]
[3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]=>[2,6,1,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]
[3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3]=>[7,6,2,1,5,3,4]=>[[1,3,4],[2,5],[6],[7]]
[3,2,4,7,1,6,5]=>[5,6,1,7,4,2,3]=>[6,7,2,1,5,3,4]=>[[1,3,4],[2,5],[6,7]]
[3,2,4,7,5,1,6]=>[6,1,5,7,4,2,3]=>[7,2,6,1,5,3,4]=>[[1,3,4],[2,5],[6],[7]]
[3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3]=>[2,7,6,1,5,3,4]=>[[1,3,4],[2,5],[6],[7]]
[3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3]=>[6,2,7,1,5,3,4]=>[[1,3,4],[2,5],[6,7]]
[3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>[2,6,7,1,5,3,4]=>[[1,3,4],[2,5,7],[6]]
[3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3]=>[7,5,2,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,2,5,1,4,7,6]=>[6,7,4,1,5,2,3]=>[7,1,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]
[3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3]=>[5,7,2,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3]=>[5,1,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]
[3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3]=>[7,5,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]
[3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3]=>[5,7,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]
[3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]=>[7,2,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]=>[7,1,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7]]
[3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]=>[2,7,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]=>[2,1,7,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]
[3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3]=>[7,2,1,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]
[3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]=>[2,7,1,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]
[3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3]=>[5,2,7,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,2,5,6,1,7,4]=>[4,7,1,6,5,2,3]=>[5,1,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]
[3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]=>[2,5,7,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]=>[2,1,5,7,6,3,4]=>[[1,3,4],[2,5,6],[7]]
[3,2,5,6,7,1,4]=>[4,1,7,6,5,2,3]=>[5,2,1,7,6,3,4]=>[[1,3,4],[2,6],[5,7]]
[3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>[2,5,1,7,6,3,4]=>[[1,3,4],[2,5,6],[7]]
[3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3]=>[7,5,2,1,6,3,4]=>[[1,3,4],[2,6],[5],[7]]
[3,2,5,7,1,6,4]=>[4,6,1,7,5,2,3]=>[5,7,2,1,6,3,4]=>[[1,3,4],[2,6],[5,7]]
[3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3]=>[7,2,5,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]
[3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3]=>[2,7,5,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]
[3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3]=>[5,2,7,1,6,3,4]=>[[1,3,4],[2,6],[5,7]]
[3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>[2,5,7,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]
[3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3]=>[6,5,2,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3]=>[6,1,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]
[3,2,6,1,5,4,7]=>[7,4,5,1,6,2,3]=>[5,6,2,7,3,4,1]=>[[1,3,4],[2,6,7],[5]]
[3,2,6,1,5,7,4]=>[4,7,5,1,6,2,3]=>[5,1,6,2,7,3,4]=>[[1,2,3,4],[5,6,7]]
[3,2,6,1,7,4,5]=>[5,4,7,1,6,2,3]=>[6,5,1,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]
[3,2,6,1,7,5,4]=>[4,5,7,1,6,2,3]=>[5,6,1,2,7,3,4]=>[[1,2,3,4],[5,6,7]]
[3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3]=>[6,2,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,2,6,4,1,7,5]=>[5,7,1,4,6,2,3]=>[6,1,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]
[3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3]=>[2,6,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3]=>[2,1,6,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]
[3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3]=>[6,2,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]
[3,2,6,4,7,5,1]=>[1,5,7,4,6,2,3]=>[2,6,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]
[3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3]=>[5,2,6,7,3,4,1]=>[[1,3,4],[2,6,7],[5]]
[3,2,6,5,1,7,4]=>[4,7,1,5,6,2,3]=>[5,1,2,6,7,3,4]=>[[1,2,3,4],[5,6,7]]
[3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]=>[2,5,6,7,3,4,1]=>[[1,3,4,7],[2,6],[5]]
[3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]=>[2,1,5,6,7,3,4]=>[[1,3,4,7],[2,5,6]]
[3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3]=>[5,2,1,6,7,3,4]=>[[1,3,4],[2,6,7],[5]]
[3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>[2,5,1,6,7,3,4]=>[[1,3,4,7],[2,5,6]]
[3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3]=>[6,5,2,1,7,3,4]=>[[1,3,4],[2,7],[5],[6]]
[3,2,6,7,1,5,4]=>[4,5,1,7,6,2,3]=>[5,6,2,1,7,3,4]=>[[1,3,4],[2,6,7],[5]]
[3,2,6,7,4,1,5]=>[5,1,4,7,6,2,3]=>[6,2,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6]]
[3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3]=>[2,6,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6]]
[3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3]=>[5,2,6,1,7,3,4]=>[[1,3,4],[2,6,7],[5]]
[3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>[2,5,6,1,7,3,4]=>[[1,3,4,7],[2,5,6]]
[3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3]=>[7,6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6],[7]]
[3,2,7,1,4,6,5]=>[5,6,4,1,7,2,3]=>[6,7,5,2,1,3,4]=>[[1,3,4],[2,7],[5],[6]]
[3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3]=>[7,5,6,2,1,3,4]=>[[1,3,4],[2,6],[5],[7]]
[3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3]=>[5,7,6,2,1,3,4]=>[[1,3,4],[2,6],[5],[7]]
[3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3]=>[6,5,7,2,1,3,4]=>[[1,3,4],[2,7],[5],[6]]
[3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]=>[5,6,7,2,1,3,4]=>[[1,3,4],[2,6,7],[5]]
[3,2,7,4,1,5,6]=>[6,5,1,4,7,2,3]=>[7,6,2,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]
[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[6,7,2,5,1,3,4]=>[[1,3,4],[2,5],[6,7]]
[3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3]=>[7,2,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]
[3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3]=>[2,7,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]
[3,2,7,4,6,1,5]=>[5,1,6,4,7,2,3]=>[6,2,7,5,1,3,4]=>[[1,3,4],[2,5],[6,7]]
[3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3]=>[2,6,7,5,1,3,4]=>[[1,3,4],[2,5,7],[6]]
[3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3]=>[7,5,2,6,1,3,4]=>[[1,3,4],[2,6],[5],[7]]
[3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3]=>[5,7,2,6,1,3,4]=>[[1,3,4],[2,6],[5,7]]
[3,2,7,5,4,1,6]=>[6,1,4,5,7,2,3]=>[7,2,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7]]
[3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3]=>[2,7,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7]]
[3,2,7,5,6,1,4]=>[4,1,6,5,7,2,3]=>[5,2,7,6,1,3,4]=>[[1,3,4],[2,6],[5,7]]
[3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3]=>[2,5,7,6,1,3,4]=>[[1,3,4],[2,5,6],[7]]
[3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3]=>[6,5,2,7,1,3,4]=>[[1,3,4],[2,7],[5],[6]]
[3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]=>[5,6,2,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]
[3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3]=>[6,2,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6]]
[3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3]=>[2,6,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6]]
[3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3]=>[5,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]
[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]=>[2,5,6,7,1,3,4]=>[[1,3,4,7],[2,5,6]]
[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>[7,6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]
[3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]=>[7,1,6,3,2,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]=>[6,7,3,2,5,4,1]=>[[1,4],[2,5],[3,7],[6]]
[3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]=>[6,1,7,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]
[3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]=>[7,6,1,3,2,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]=>[6,7,1,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]
[3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]=>[7,3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]
[3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]=>[7,1,3,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]=>[3,7,6,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]
[3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]=>[3,1,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]=>[7,3,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3]=>[3,7,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]=>[6,3,7,2,5,4,1]=>[[1,4],[2,5],[3,7],[6]]
[3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]=>[6,1,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]
[3,4,1,6,5,2,7]=>[7,2,5,6,1,4,3]=>[3,6,7,2,5,4,1]=>[[1,4,7],[2,5],[3],[6]]
[3,4,1,6,5,7,2]=>[2,7,5,6,1,4,3]=>[3,1,6,7,2,5,4]=>[[1,2,4],[3,5,7],[6]]
[3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]=>[6,3,1,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]
[3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3]=>[3,6,1,7,2,5,4]=>[[1,2,4],[3,5,7],[6]]
[3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]=>[7,6,3,1,2,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3]=>[6,7,3,1,2,5,4]=>[[1,2,4],[3,5],[6,7]]
[3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3]=>[7,3,6,1,2,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3]=>[3,7,6,1,2,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,1,7,6,2,5]=>[5,2,6,7,1,4,3]=>[6,3,7,1,2,5,4]=>[[1,2,4],[3,5],[6,7]]
[3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3]=>[3,6,7,1,2,5,4]=>[[1,2,4],[3,5,7],[6]]
[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>[7,6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]
[3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]=>[7,1,6,2,3,5,4]=>[[1,2,3,4],[5],[6],[7]]
[3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]=>[6,7,2,3,5,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]=>[6,1,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]
[3,4,2,1,7,5,6]=>[6,5,7,1,2,4,3]=>[7,6,1,2,3,5,4]=>[[1,2,3,4],[5],[6],[7]]
[3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]=>[6,7,1,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]
[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>[7,2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]
[3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]=>[7,1,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]
[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>[2,7,6,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]
[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>[2,1,7,6,3,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,2,5,7,1,6]=>[6,1,7,5,2,4,3]=>[7,2,1,6,3,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>[2,7,1,6,3,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,2,6,1,5,7]=>[7,5,1,6,2,4,3]=>[6,2,7,3,5,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3]=>[6,1,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6]]
[3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]=>[2,6,7,3,5,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]=>[2,1,6,7,3,5,4]=>[[1,3,4],[2,5,7],[6]]
[3,4,2,6,7,1,5]=>[5,1,7,6,2,4,3]=>[6,2,1,7,3,5,4]=>[[1,3,4],[2,5],[6,7]]
[3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>[2,6,1,7,3,5,4]=>[[1,3,4],[2,5,7],[6]]
[3,4,2,7,1,5,6]=>[6,5,1,7,2,4,3]=>[7,6,2,1,3,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3]=>[6,7,2,1,3,5,4]=>[[1,3,4],[2,5],[6,7]]
[3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3]=>[7,2,6,1,3,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3]=>[2,7,6,1,3,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,2,7,6,1,5]=>[5,1,6,7,2,4,3]=>[6,2,7,1,3,5,4]=>[[1,3,4],[2,5],[6,7]]
[3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>[2,6,7,1,3,5,4]=>[[1,3,4],[2,5,7],[6]]
[3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>[7,3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]
[3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]=>[7,1,3,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]=>[3,7,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]
[3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]=>[3,1,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]=>[7,3,1,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3]=>[3,7,1,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>[7,2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]
[3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]=>[7,1,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]
[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>[2,7,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]
[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>[2,1,7,3,6,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,5,2,7,1,6]=>[6,1,7,2,5,4,3]=>[7,2,1,3,6,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>[2,7,1,3,6,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]
[3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]=>[3,1,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]
[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>[2,3,7,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]
[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>[2,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>[3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]
[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>[2,3,1,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]=>[7,3,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7]]
[3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3]=>[3,7,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7]]
[3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3]=>[7,2,3,1,6,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3]=>[2,7,3,1,6,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3]=>[3,2,7,1,6,5,4]=>[[1,4],[2,5],[3,6],[7]]
[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]=>[2,3,7,1,6,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]=>[6,3,2,7,5,4,1]=>[[1,4],[2,5],[3,7],[6]]
[3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3]=>[6,1,3,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]
[3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3]=>[3,6,2,7,5,4,1]=>[[1,4,7],[2,5],[3],[6]]
[3,4,6,1,5,7,2]=>[2,7,5,1,6,4,3]=>[3,1,6,2,7,5,4]=>[[1,2,4],[3,5,7],[6]]
[3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3]=>[6,3,1,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]
[3,4,6,1,7,5,2]=>[2,5,7,1,6,4,3]=>[3,6,1,2,7,5,4]=>[[1,2,4],[3,5,7],[6]]
[3,4,6,2,1,5,7]=>[7,5,1,2,6,4,3]=>[6,2,3,7,5,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,4,6,2,1,7,5]=>[5,7,1,2,6,4,3]=>[6,1,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]
[3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3]=>[2,6,3,7,5,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,4,6,2,5,7,1]=>[1,7,5,2,6,4,3]=>[2,1,6,3,7,5,4]=>[[1,3,4],[2,5,7],[6]]
[3,4,6,2,7,1,5]=>[5,1,7,2,6,4,3]=>[6,2,1,3,7,5,4]=>[[1,3,4],[2,5],[6,7]]
[3,4,6,2,7,5,1]=>[1,5,7,2,6,4,3]=>[2,6,1,3,7,5,4]=>[[1,3,4],[2,5,7],[6]]
[3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3]=>[3,2,6,7,5,4,1]=>[[1,4,7],[2,5],[3],[6]]
[3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3]=>[3,1,2,6,7,5,4]=>[[1,2,4,7],[3,5],[6]]
[3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]=>[2,3,6,7,5,4,1]=>[[1,3,4,7],[2],[5],[6]]
[3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]=>[2,1,3,6,7,5,4]=>[[1,3,4,7],[2,5],[6]]
[3,4,6,5,7,1,2]=>[2,1,7,5,6,4,3]=>[3,2,1,6,7,5,4]=>[[1,4,7],[2,5],[3,6]]
[3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]=>[2,3,1,6,7,5,4]=>[[1,3,4,7],[2,5],[6]]
[3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3]=>[6,3,2,1,7,5,4]=>[[1,4],[2,5],[3,7],[6]]
[3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3]=>[3,6,2,1,7,5,4]=>[[1,4,7],[2,5],[3,6]]
[3,4,6,7,2,1,5]=>[5,1,2,7,6,4,3]=>[6,2,3,1,7,5,4]=>[[1,3,4],[2,5],[6,7]]
[3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3]=>[2,6,3,1,7,5,4]=>[[1,3,4],[2,5],[6,7]]
[3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3]=>[3,2,6,1,7,5,4]=>[[1,4,7],[2,5],[3,6]]
[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>[2,3,6,1,7,5,4]=>[[1,3,4,7],[2,5],[6]]
[3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]=>[7,6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6],[7]]
[3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3]=>[6,7,3,2,1,5,4]=>[[1,4],[2,5],[3,7],[6]]
[3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3]=>[7,3,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7]]
[3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3]=>[3,7,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7]]
[3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3]=>[6,3,7,2,1,5,4]=>[[1,4],[2,5],[3,7],[6]]
[3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3]=>[3,6,7,2,1,5,4]=>[[1,4,7],[2,5],[3,6]]
[3,4,7,2,1,5,6]=>[6,5,1,2,7,4,3]=>[7,6,2,3,1,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,7,2,1,6,5]=>[5,6,1,2,7,4,3]=>[6,7,2,3,1,5,4]=>[[1,3,4],[2,5],[6,7]]
[3,4,7,2,5,1,6]=>[6,1,5,2,7,4,3]=>[7,2,6,3,1,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3]=>[2,7,6,3,1,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3]=>[6,2,7,3,1,5,4]=>[[1,3,4],[2,5],[6,7]]
[3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3]=>[2,6,7,3,1,5,4]=>[[1,3,4],[2,5],[6,7]]
[3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3]=>[7,3,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]
[3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3]=>[3,7,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]
[3,4,7,5,2,1,6]=>[6,1,2,5,7,4,3]=>[7,2,3,6,1,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3]=>[2,7,3,6,1,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]=>[3,2,7,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]
[3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]=>[2,3,7,6,1,5,4]=>[[1,3,4],[2,5],[6],[7]]
[3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3]=>[6,3,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6]]
[3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3]=>[3,6,2,7,1,5,4]=>[[1,4,7],[2,5],[3,6]]
[3,4,7,6,2,1,5]=>[5,1,2,6,7,4,3]=>[6,2,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7]]
[3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3]=>[2,6,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7]]
[3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3]=>[3,2,6,7,1,5,4]=>[[1,4,7],[2,5],[3,6]]
[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>[2,3,6,7,1,5,4]=>[[1,3,4,7],[2,5],[6]]
[3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]=>[7,5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5],[7]]
[3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]=>[7,1,5,3,2,6,4]=>[[1,2,4],[3,6],[5],[7]]
[3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]=>[5,7,3,2,6,4,1]=>[[1,4],[2,6],[3,7],[5]]
[3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]=>[5,1,7,3,2,6,4]=>[[1,2,4],[3,6],[5,7]]
[3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]=>[7,5,1,3,2,6,4]=>[[1,2,4],[3,6],[5],[7]]
[3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3]=>[5,7,1,3,2,6,4]=>[[1,2,4],[3,6],[5,7]]
[3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]=>[7,3,5,2,6,4,1]=>[[1,4,6],[2,5],[3],[7]]
[3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]=>[7,1,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7]]
[3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3]=>[3,7,5,2,6,4,1]=>[[1,4,6],[2,5],[3],[7]]
[3,5,1,4,6,7,2]=>[2,7,6,4,1,5,3]=>[3,1,7,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]
[3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3]=>[7,3,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]
[3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3]=>[3,7,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]
[3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]=>[5,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5]]
[3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]=>[5,1,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]
[3,5,1,6,4,2,7]=>[7,2,4,6,1,5,3]=>[3,5,7,2,6,4,1]=>[[1,4,6],[2,5],[3],[7]]
[3,5,1,6,4,7,2]=>[2,7,4,6,1,5,3]=>[3,1,5,7,2,6,4]=>[[1,2,4],[3,5,6],[7]]
[3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]=>[5,3,1,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]
[3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3]=>[3,5,1,7,2,6,4]=>[[1,2,4],[3,5,6],[7]]
[3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]=>[7,5,3,1,2,6,4]=>[[1,2,4],[3,6],[5],[7]]
[3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>[5,7,3,1,2,6,4]=>[[1,2,4],[3,6],[5,7]]
[3,5,1,7,4,2,6]=>[6,2,4,7,1,5,3]=>[7,3,5,1,2,6,4]=>[[1,2,4],[3,5,6],[7]]
[3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3]=>[3,7,5,1,2,6,4]=>[[1,2,4],[3,5,6],[7]]
[3,5,1,7,6,2,4]=>[4,2,6,7,1,5,3]=>[5,3,7,1,2,6,4]=>[[1,2,4],[3,6],[5,7]]
[3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3]=>[3,5,7,1,2,6,4]=>[[1,2,4],[3,5,6],[7]]
[3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3]=>[7,5,2,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3]=>[7,1,5,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]
[3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3]=>[5,7,2,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3]=>[5,1,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]
[3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3]=>[7,5,1,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]
[3,5,2,1,7,6,4]=>[4,6,7,1,2,5,3]=>[5,7,1,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]
[3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3]=>[7,2,5,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3]=>[7,1,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]
[3,5,2,4,6,1,7]=>[7,1,6,4,2,5,3]=>[2,7,5,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,5,2,4,6,7,1]=>[1,7,6,4,2,5,3]=>[2,1,7,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]
[3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3]=>[7,2,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]
[3,5,2,4,7,6,1]=>[1,6,7,4,2,5,3]=>[2,7,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]
[3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3]=>[5,2,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3]=>[5,1,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]
[3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3]=>[2,5,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,5,2,6,4,7,1]=>[1,7,4,6,2,5,3]=>[2,1,5,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]
[3,5,2,6,7,1,4]=>[4,1,7,6,2,5,3]=>[5,2,1,7,3,6,4]=>[[1,3,4],[2,6],[5,7]]
[3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3]=>[2,5,1,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]
[3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3]=>[7,5,2,1,3,6,4]=>[[1,3,4],[2,6],[5],[7]]
[3,5,2,7,1,6,4]=>[4,6,1,7,2,5,3]=>[5,7,2,1,3,6,4]=>[[1,3,4],[2,6],[5,7]]
[3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3]=>[7,2,5,1,3,6,4]=>[[1,3,4],[2,5,6],[7]]
[3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3]=>[2,7,5,1,3,6,4]=>[[1,3,4],[2,5,6],[7]]
[3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3]=>[5,2,7,1,3,6,4]=>[[1,3,4],[2,6],[5,7]]
[3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3]=>[2,5,7,1,3,6,4]=>[[1,3,4],[2,5,6],[7]]
[3,5,4,1,2,6,7]=>[7,6,2,1,4,5,3]=>[7,3,2,5,6,4,1]=>[[1,4,6],[2,5],[3],[7]]
[3,5,4,1,2,7,6]=>[6,7,2,1,4,5,3]=>[7,1,3,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]
[3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3]=>[3,7,2,5,6,4,1]=>[[1,4,6],[2,5],[3],[7]]
[3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3]=>[3,1,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]
[3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3]=>[7,3,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]
[3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3]=>[3,7,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]
[3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]=>[7,2,3,5,6,4,1]=>[[1,3,4,6],[2],[5],[7]]
[3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]=>[7,1,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7]]
[3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]=>[2,7,3,5,6,4,1]=>[[1,3,4,6],[2],[5],[7]]
[3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]=>[2,1,7,3,5,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,4,2,7,1,6]=>[6,1,7,2,4,5,3]=>[7,2,1,3,5,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]=>[2,7,1,3,5,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,4,6,1,2,7]=>[7,2,1,6,4,5,3]=>[3,2,7,5,6,4,1]=>[[1,4,6],[2,5],[3],[7]]
[3,5,4,6,1,7,2]=>[2,7,1,6,4,5,3]=>[3,1,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]
[3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]=>[2,3,7,5,6,4,1]=>[[1,3,4,6],[2],[5],[7]]
[3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]=>[2,1,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,4,6,7,1,2]=>[2,1,7,6,4,5,3]=>[3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]
[3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>[2,3,1,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3]=>[7,3,2,1,5,6,4]=>[[1,4,6],[2,5],[3],[7]]
[3,5,4,7,1,6,2]=>[2,6,1,7,4,5,3]=>[3,7,2,1,5,6,4]=>[[1,4,6],[2,5],[3,7]]
[3,5,4,7,2,1,6]=>[6,1,2,7,4,5,3]=>[7,2,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3]=>[2,7,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,4,7,6,1,2]=>[2,1,6,7,4,5,3]=>[3,2,7,1,5,6,4]=>[[1,4,6],[2,5],[3,7]]
[3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>[2,3,7,1,5,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>[5,3,2,7,6,4,1]=>[[1,4],[2,6],[3,7],[5]]
[3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]=>[5,1,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]
[3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3]=>[3,5,2,7,6,4,1]=>[[1,4,6],[2,5],[3],[7]]
[3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3]=>[3,1,5,2,7,6,4]=>[[1,2,4],[3,5,6],[7]]
[3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]=>[5,3,1,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]
[3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3]=>[3,5,1,2,7,6,4]=>[[1,2,4],[3,5,6],[7]]
[3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3]=>[5,2,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,5,6,2,1,7,4]=>[4,7,1,2,6,5,3]=>[5,1,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]
[3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3]=>[2,5,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7]]
[3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3]=>[2,1,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7]]
[3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3]=>[5,2,1,3,7,6,4]=>[[1,3,4],[2,6],[5,7]]
[3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>[[1,3,4],[2,5,6],[7]]
[3,5,6,4,1,2,7]=>[7,2,1,4,6,5,3]=>[3,2,5,7,6,4,1]=>[[1,4,6],[2,5],[3],[7]]
[3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3]=>[3,1,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7]]
[3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>[2,3,5,7,6,4,1]=>[[1,3,4,6],[2],[5],[7]]
[3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]=>[2,1,3,5,7,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,6,4,7,1,2]=>[2,1,7,4,6,5,3]=>[3,2,1,5,7,6,4]=>[[1,4,6],[2,5],[3,7]]
[3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]=>[2,3,1,5,7,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3]=>[5,3,2,1,7,6,4]=>[[1,4],[2,6],[3,7],[5]]
[3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3]=>[3,5,2,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]
[3,5,6,7,2,1,4]=>[4,1,2,7,6,5,3]=>[5,2,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7]]
[3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3]=>[2,5,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7]]
[3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3]=>[3,2,5,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]
[3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]=>[2,3,5,1,7,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]=>[7,5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5],[7]]
[3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3]=>[5,7,3,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]
[3,5,7,1,4,2,6]=>[6,2,4,1,7,5,3]=>[7,3,5,2,1,6,4]=>[[1,4,6],[2,5],[3],[7]]
[3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3]=>[3,7,5,2,1,6,4]=>[[1,4,6],[2,5],[3],[7]]
[3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3]=>[5,3,7,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]
[3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3]=>[3,5,7,2,1,6,4]=>[[1,4,6],[2,5],[3,7]]
[3,5,7,2,1,4,6]=>[6,4,1,2,7,5,3]=>[7,5,2,3,1,6,4]=>[[1,3,4],[2,6],[5],[7]]
[3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3]=>[5,7,2,3,1,6,4]=>[[1,3,4],[2,6],[5,7]]
[3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3]=>[7,2,5,3,1,6,4]=>[[1,3,4],[2,6],[5],[7]]
[3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3]=>[2,7,5,3,1,6,4]=>[[1,3,4],[2,6],[5],[7]]
[3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3]=>[5,2,7,3,1,6,4]=>[[1,3,4],[2,6],[5,7]]
[3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3]=>[2,5,7,3,1,6,4]=>[[1,3,4],[2,6],[5,7]]
[3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3]=>[7,3,2,5,1,6,4]=>[[1,4,6],[2,5],[3],[7]]
[3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3]=>[3,7,2,5,1,6,4]=>[[1,4,6],[2,5],[3,7]]
[3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3]=>[7,2,3,5,1,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3]=>[2,7,3,5,1,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3]=>[3,2,7,5,1,6,4]=>[[1,4,6],[2,5],[3,7]]
[3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3]=>[2,3,7,5,1,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3]=>[5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5]]
[3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3]=>[3,5,2,7,1,6,4]=>[[1,4,6],[2,5],[3,7]]
[3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3]=>[5,2,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]
[3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3]=>[2,5,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]
[3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3]=>[3,2,5,7,1,6,4]=>[[1,4,6],[2,5],[3,7]]
[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>[2,3,5,7,1,6,4]=>[[1,3,4,6],[2,5],[7]]
[3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>[6,5,3,2,7,4,1]=>[[1,4],[2,7],[3],[5],[6]]
[3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]=>[6,1,5,3,2,7,4]=>[[1,2,4],[3,7],[5],[6]]
[3,6,1,2,5,4,7]=>[7,4,5,2,1,6,3]=>[5,6,3,2,7,4,1]=>[[1,4,7],[2,6],[3],[5]]
[3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3]=>[5,1,6,3,2,7,4]=>[[1,2,4],[3,6,7],[5]]
[3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]=>[6,5,1,3,2,7,4]=>[[1,2,4],[3,7],[5],[6]]
[3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3]=>[5,6,1,3,2,7,4]=>[[1,2,4],[3,6,7],[5]]
[3,6,1,4,2,5,7]=>[7,5,2,4,1,6,3]=>[6,3,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6]]
[3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3]=>[6,1,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6]]
[3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>[3,6,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6]]
[3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3]=>[3,1,6,5,2,7,4]=>[[1,2,4],[3,5,7],[6]]
[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[6,3,1,5,2,7,4]=>[[1,2,4],[3,5,7],[6]]
[3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3]=>[3,6,1,5,2,7,4]=>[[1,2,4],[3,5,7],[6]]
[3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3]=>[5,3,6,2,7,4,1]=>[[1,4,7],[2,6],[3],[5]]
[3,6,1,5,2,7,4]=>[4,7,2,5,1,6,3]=>[5,1,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5]]
[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[3,5,6,2,7,4,1]=>[[1,4,6,7],[2,5],[3]]
[3,6,1,5,4,7,2]=>[2,7,4,5,1,6,3]=>[3,1,5,6,2,7,4]=>[[1,2,4,7],[3,5,6]]
[3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3]=>[5,3,1,6,2,7,4]=>[[1,2,4],[3,6,7],[5]]
[3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3]=>[3,5,1,6,2,7,4]=>[[1,2,4,7],[3,5,6]]
[3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]=>[6,5,3,1,2,7,4]=>[[1,2,4],[3,7],[5],[6]]
[3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3]=>[5,6,3,1,2,7,4]=>[[1,2,4],[3,6,7],[5]]
[3,6,1,7,4,2,5]=>[5,2,4,7,1,6,3]=>[6,3,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6]]
[3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3]=>[3,6,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6]]
[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[5,3,6,1,2,7,4]=>[[1,2,4],[3,6,7],[5]]
[3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3]=>[3,5,6,1,2,7,4]=>[[1,2,4,7],[3,5,6]]
[3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3]=>[6,5,2,3,7,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3]=>[6,1,5,2,3,7,4]=>[[1,2,3,4],[5,7],[6]]
[3,6,2,1,5,4,7]=>[7,4,5,1,2,6,3]=>[5,6,2,3,7,4,1]=>[[1,3,4],[2,6,7],[5]]
[3,6,2,1,5,7,4]=>[4,7,5,1,2,6,3]=>[5,1,6,2,3,7,4]=>[[1,2,3,4],[5,6,7]]
[3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3]=>[6,5,1,2,3,7,4]=>[[1,2,3,4],[5,7],[6]]
[3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3]=>[5,6,1,2,3,7,4]=>[[1,2,3,4],[5,6,7]]
[3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3]=>[6,2,5,3,7,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3]=>[6,1,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]
[3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3]=>[2,6,5,3,7,4,1]=>[[1,3,4],[2,7],[5],[6]]
[3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3]=>[2,1,6,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]
[3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3]=>[6,2,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]
[3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]
[3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3]=>[5,2,6,3,7,4,1]=>[[1,3,4],[2,6,7],[5]]
[3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3]=>[5,1,2,6,3,7,4]=>[[1,2,3,4],[5,6,7]]
[3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3]=>[2,5,6,3,7,4,1]=>[[1,3,4,7],[2,6],[5]]
[3,6,2,5,4,7,1]=>[1,7,4,5,2,6,3]=>[2,1,5,6,3,7,4]=>[[1,3,4,7],[2,5,6]]
[3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3]=>[5,2,1,6,3,7,4]=>[[1,3,4],[2,6,7],[5]]
[3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3]=>[2,5,1,6,3,7,4]=>[[1,3,4,7],[2,5,6]]
[3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3]=>[6,5,2,1,3,7,4]=>[[1,3,4],[2,7],[5],[6]]
[3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3]=>[5,6,2,1,3,7,4]=>[[1,3,4],[2,6,7],[5]]
[3,6,2,7,4,1,5]=>[5,1,4,7,2,6,3]=>[6,2,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6]]
[3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3]=>[2,6,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6]]
[3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3]=>[5,2,6,1,3,7,4]=>[[1,3,4],[2,6,7],[5]]
[3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3]=>[2,5,6,1,3,7,4]=>[[1,3,4,7],[2,5,6]]
[3,6,4,1,2,5,7]=>[7,5,2,1,4,6,3]=>[6,3,2,5,7,4,1]=>[[1,4,7],[2,5],[3],[6]]
[3,6,4,1,2,7,5]=>[5,7,2,1,4,6,3]=>[6,1,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]
[3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3]=>[3,6,2,5,7,4,1]=>[[1,4,7],[2,5],[3],[6]]
[3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3]=>[3,1,6,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]
[3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3]=>[6,3,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]
[3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3]=>[3,6,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]
[3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3]=>[6,2,3,5,7,4,1]=>[[1,3,4,7],[2],[5],[6]]
[3,6,4,2,1,7,5]=>[5,7,1,2,4,6,3]=>[6,1,2,3,5,7,4]=>[[1,2,3,4,7],[5],[6]]
[3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3]=>[2,6,3,5,7,4,1]=>[[1,3,4,7],[2],[5],[6]]
[3,6,4,2,5,7,1]=>[1,7,5,2,4,6,3]=>[2,1,6,3,5,7,4]=>[[1,3,4,7],[2,5],[6]]
[3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3]=>[6,2,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6]]
[3,6,4,2,7,5,1]=>[1,5,7,2,4,6,3]=>[2,6,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6]]
[3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3]=>[3,2,6,5,7,4,1]=>[[1,4,7],[2,5],[3],[6]]
[3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3]=>[3,1,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6]]
[3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3]=>[2,3,6,5,7,4,1]=>[[1,3,4,7],[2],[5],[6]]
[3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3]=>[2,1,3,6,5,7,4]=>[[1,3,4,7],[2,5],[6]]
[3,6,4,5,7,1,2]=>[2,1,7,5,4,6,3]=>[3,2,1,6,5,7,4]=>[[1,4,7],[2,5],[3,6]]
[3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3]=>[2,3,1,6,5,7,4]=>[[1,3,4,7],[2,5],[6]]
[3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3]=>[6,3,2,1,5,7,4]=>[[1,4,7],[2,5],[3],[6]]
[3,6,4,7,1,5,2]=>[2,5,1,7,4,6,3]=>[3,6,2,1,5,7,4]=>[[1,4,7],[2,5],[3,6]]
[3,6,4,7,2,1,5]=>[5,1,2,7,4,6,3]=>[6,2,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]
[3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3]=>[2,6,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]
[3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3]=>[3,2,6,1,5,7,4]=>[[1,4,7],[2,5],[3,6]]
[3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3]=>[2,3,6,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]
[3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3]=>[5,3,2,6,7,4,1]=>[[1,4,7],[2,6],[3],[5]]
[3,6,5,1,2,7,4]=>[4,7,2,1,5,6,3]=>[5,1,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5]]
[3,6,5,1,4,2,7]=>[7,2,4,1,5,6,3]=>[3,5,2,6,7,4,1]=>[[1,4,6,7],[2,5],[3]]
[3,6,5,1,4,7,2]=>[2,7,4,1,5,6,3]=>[3,1,5,2,6,7,4]=>[[1,2,4,7],[3,5,6]]
[3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>[[1,2,4,7],[3,6],[5]]
[3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3]=>[3,5,1,2,6,7,4]=>[[1,2,4,7],[3,5,6]]
[3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3]=>[5,2,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5]]
[3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3]=>[5,1,2,3,6,7,4]=>[[1,2,3,4,7],[5,6]]
[3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3]=>[2,5,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5]]
[3,6,5,2,4,7,1]=>[1,7,4,2,5,6,3]=>[2,1,5,3,6,7,4]=>[[1,3,4,7],[2,5,6]]
[3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3]=>[5,2,1,3,6,7,4]=>[[1,3,4,7],[2,6],[5]]
[3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3]=>[2,5,1,3,6,7,4]=>[[1,3,4,7],[2,5,6]]
[3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3]=>[3,2,5,6,7,4,1]=>[[1,4,6,7],[2,5],[3]]
[3,6,5,4,1,7,2]=>[2,7,1,4,5,6,3]=>[3,1,2,5,6,7,4]=>[[1,2,4,6,7],[3,5]]
[3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>[2,3,5,6,7,4,1]=>[[1,3,4,6,7],[2],[5]]
[3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]=>[2,1,3,5,6,7,4]=>[[1,3,4,6,7],[2,5]]
[3,6,5,4,7,1,2]=>[2,1,7,4,5,6,3]=>[3,2,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3]]
[3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>[2,3,1,5,6,7,4]=>[[1,3,4,6,7],[2,5]]
[3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3]=>[5,3,2,1,6,7,4]=>[[1,4,7],[2,6],[3],[5]]
[3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3]=>[3,5,2,1,6,7,4]=>[[1,4,6,7],[2,5],[3]]
[3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3]=>[5,2,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5]]
[3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3]=>[2,5,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5]]
[3,6,5,7,4,1,2]=>[2,1,4,7,5,6,3]=>[3,2,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3]]
[3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>[2,3,5,1,6,7,4]=>[[1,3,4,6,7],[2,5]]
[3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]=>[6,5,3,2,1,7,4]=>[[1,4],[2,7],[3],[5],[6]]
[3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3]=>[5,6,3,2,1,7,4]=>[[1,4,7],[2,6],[3],[5]]
[3,6,7,1,4,2,5]=>[5,2,4,1,7,6,3]=>[6,3,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6]]
[3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3]=>[3,6,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6]]
[3,6,7,1,5,2,4]=>[4,2,5,1,7,6,3]=>[5,3,6,2,1,7,4]=>[[1,4,7],[2,6],[3],[5]]
[3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3]=>[3,5,6,2,1,7,4]=>[[1,4,6,7],[2,5],[3]]
[3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3]=>[6,5,2,3,1,7,4]=>[[1,3,4],[2,7],[5],[6]]
[3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3]=>[5,6,2,3,1,7,4]=>[[1,3,4],[2,6,7],[5]]
[3,6,7,2,4,1,5]=>[5,1,4,2,7,6,3]=>[6,2,5,3,1,7,4]=>[[1,3,4],[2,7],[5],[6]]
[3,6,7,2,4,5,1]=>[1,5,4,2,7,6,3]=>[2,6,5,3,1,7,4]=>[[1,3,4],[2,7],[5],[6]]
[3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3]=>[5,2,6,3,1,7,4]=>[[1,3,4],[2,6,7],[5]]
[3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3]=>[2,5,6,3,1,7,4]=>[[1,3,4,7],[2,6],[5]]
[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[6,3,2,5,1,7,4]=>[[1,4,7],[2,5],[3],[6]]
[3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3]=>[3,6,2,5,1,7,4]=>[[1,4,7],[2,5],[3,6]]
[3,6,7,4,2,1,5]=>[5,1,2,4,7,6,3]=>[6,2,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6]]
[3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3]=>[2,6,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6]]
[3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3]=>[3,2,6,5,1,7,4]=>[[1,4,7],[2,5],[3,6]]
[3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]=>[2,3,6,5,1,7,4]=>[[1,3,4,7],[2,5],[6]]
[3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3]=>[5,3,2,6,1,7,4]=>[[1,4,7],[2,6],[3],[5]]
[3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3]=>[3,5,2,6,1,7,4]=>[[1,4,6,7],[2,5],[3]]
[3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3]=>[5,2,3,6,1,7,4]=>[[1,3,4,7],[2,6],[5]]
[3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3]=>[2,5,3,6,1,7,4]=>[[1,3,4,7],[2,6],[5]]
[3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3]=>[3,2,5,6,1,7,4]=>[[1,4,6,7],[2,5],[3]]
[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>[2,3,5,6,1,7,4]=>[[1,3,4,6,7],[2,5]]
[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>[7,6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6],[7]]
[3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3]=>[6,7,5,3,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]
[3,7,1,2,5,4,6]=>[6,4,5,2,1,7,3]=>[7,5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]
[3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3]=>[5,7,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]
[3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3]=>[6,5,7,3,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]
[3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3]=>[5,6,7,3,2,1,4]=>[[1,4,7],[2,6],[3],[5]]
[3,7,1,4,2,5,6]=>[6,5,2,4,1,7,3]=>[7,6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7]]
[3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3]=>[6,7,3,5,2,1,4]=>[[1,4],[2,5],[3,7],[6]]
[3,7,1,4,5,2,6]=>[6,2,5,4,1,7,3]=>[7,3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7]]
[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[3,7,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7]]
[3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3]=>[6,3,7,5,2,1,4]=>[[1,4],[2,5],[3,7],[6]]
[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[3,6,7,5,2,1,4]=>[[1,4,7],[2,5],[3],[6]]
[3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3]=>[7,5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]
[3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3]=>[5,7,3,6,2,1,4]=>[[1,4],[2,6],[3,7],[5]]
[3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3]=>[7,3,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7]]
[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[3,7,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7]]
[3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3]=>[5,3,7,6,2,1,4]=>[[1,4],[2,6],[3,7],[5]]
[3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3]=>[3,5,7,6,2,1,4]=>[[1,4,6],[2,5],[3],[7]]
[3,7,1,6,2,4,5]=>[5,4,2,6,1,7,3]=>[6,5,3,7,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]
[3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3]=>[5,6,3,7,2,1,4]=>[[1,4,7],[2,6],[3],[5]]
[3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3]=>[6,3,5,7,2,1,4]=>[[1,4,7],[2,5],[3],[6]]
[3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3]=>[3,6,5,7,2,1,4]=>[[1,4,7],[2,5],[3],[6]]
[3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3]=>[5,3,6,7,2,1,4]=>[[1,4,7],[2,6],[3],[5]]
[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[3,5,6,7,2,1,4]=>[[1,4,6,7],[2,5],[3]]
[3,7,2,1,4,5,6]=>[6,5,4,1,2,7,3]=>[7,6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]
[3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3]=>[6,7,5,2,3,1,4]=>[[1,3,4],[2,7],[5],[6]]
[3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3]=>[7,5,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7]]
[3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3]=>[5,7,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7]]
[3,7,2,1,6,4,5]=>[5,4,6,1,2,7,3]=>[6,5,7,2,3,1,4]=>[[1,3,4],[2,7],[5],[6]]
[3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]=>[5,6,7,2,3,1,4]=>[[1,3,4],[2,6,7],[5]]
[3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3]=>[7,6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]
[3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3]=>[6,7,2,5,3,1,4]=>[[1,3,4],[2,7],[5],[6]]
[3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3]=>[7,2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]
[3,7,2,4,5,6,1]=>[1,6,5,4,2,7,3]=>[2,7,6,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]
[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[6,2,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6]]
[3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3]=>[2,6,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6]]
[3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3]=>[7,5,2,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]
[3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3]=>[5,7,2,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]
[3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3]=>[7,2,5,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]
[3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3]=>[2,7,5,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]
[3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3]=>[5,2,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]
[3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3]=>[2,5,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]
[3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3]=>[6,5,2,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]
[3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]=>[5,6,2,7,3,1,4]=>[[1,3,4],[2,6,7],[5]]
[3,7,2,6,4,1,5]=>[5,1,4,6,2,7,3]=>[6,2,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]
[3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3]=>[2,6,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]
[3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3]=>[5,2,6,7,3,1,4]=>[[1,3,4],[2,6,7],[5]]
[3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]=>[2,5,6,7,3,1,4]=>[[1,3,4,7],[2,6],[5]]
[3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3]=>[7,6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6],[7]]
[3,7,4,1,2,6,5]=>[5,6,2,1,4,7,3]=>[6,7,3,2,5,1,4]=>[[1,4],[2,5],[3,7],[6]]
[3,7,4,1,5,2,6]=>[6,2,5,1,4,7,3]=>[7,3,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7]]
[3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3]=>[3,7,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7]]
[3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3]=>[6,3,7,2,5,1,4]=>[[1,4],[2,5],[3,7],[6]]
[3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3]=>[3,6,7,2,5,1,4]=>[[1,4,7],[2,5],[3,6]]
[3,7,4,2,1,5,6]=>[6,5,1,2,4,7,3]=>[7,6,2,3,5,1,4]=>[[1,3,4],[2,5],[6],[7]]
[3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3]=>[6,7,2,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]
[3,7,4,2,5,1,6]=>[6,1,5,2,4,7,3]=>[7,2,6,3,5,1,4]=>[[1,3,4],[2,5],[6],[7]]
[3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3]=>[2,7,6,3,5,1,4]=>[[1,3,4],[2,5],[6],[7]]
[3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3]=>[6,2,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]
[3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3]=>[2,6,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]
[3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3]=>[7,3,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7]]
[3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3]=>[3,7,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7]]
[3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3]=>[7,2,3,6,5,1,4]=>[[1,3,4],[2,5],[6],[7]]
[3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3]=>[2,7,3,6,5,1,4]=>[[1,3,4],[2,5],[6],[7]]
[3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3]=>[3,2,7,6,5,1,4]=>[[1,4],[2,5],[3,6],[7]]
[3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]=>[2,3,7,6,5,1,4]=>[[1,3,4],[2,5],[6],[7]]
[3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3]=>[6,3,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6]]
[3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3]=>[3,6,2,7,5,1,4]=>[[1,4,7],[2,5],[3,6]]
[3,7,4,6,2,1,5]=>[5,1,2,6,4,7,3]=>[6,2,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]
[3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3]=>[2,6,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]
[3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3]=>[3,2,6,7,5,1,4]=>[[1,4,7],[2,5],[3,6]]
[3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]=>[2,3,6,7,5,1,4]=>[[1,3,4,7],[2,5],[6]]
[3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3]=>[7,5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5],[7]]
[3,7,5,1,2,6,4]=>[4,6,2,1,5,7,3]=>[5,7,3,2,6,1,4]=>[[1,4],[2,6],[3,7],[5]]
[3,7,5,1,4,2,6]=>[6,2,4,1,5,7,3]=>[7,3,5,2,6,1,4]=>[[1,4,6],[2,5],[3],[7]]
[3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3]=>[3,7,5,2,6,1,4]=>[[1,4,6],[2,5],[3],[7]]
[3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3]=>[5,3,7,2,6,1,4]=>[[1,4],[2,6],[3,7],[5]]
[3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3]=>[3,5,7,2,6,1,4]=>[[1,4,6],[2,5],[3,7]]
[3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3]=>[7,5,2,3,6,1,4]=>[[1,3,4],[2,6],[5],[7]]
[3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3]=>[5,7,2,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]
[3,7,5,2,4,1,6]=>[6,1,4,2,5,7,3]=>[7,2,5,3,6,1,4]=>[[1,3,4],[2,6],[5],[7]]
[3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3]=>[2,7,5,3,6,1,4]=>[[1,3,4],[2,6],[5],[7]]
[3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3]=>[5,2,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]
[3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3]=>[2,5,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]
[3,7,5,4,1,2,6]=>[6,2,1,4,5,7,3]=>[7,3,2,5,6,1,4]=>[[1,4,6],[2,5],[3],[7]]
[3,7,5,4,1,6,2]=>[2,6,1,4,5,7,3]=>[3,7,2,5,6,1,4]=>[[1,4,6],[2,5],[3,7]]
[3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3]=>[7,2,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7]]
[3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3]=>[2,7,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7]]
[3,7,5,4,6,1,2]=>[2,1,6,4,5,7,3]=>[3,2,7,5,6,1,4]=>[[1,4,6],[2,5],[3,7]]
[3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3]=>[2,3,7,5,6,1,4]=>[[1,3,4,6],[2,5],[7]]
[3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3]=>[5,3,2,7,6,1,4]=>[[1,4],[2,6],[3,7],[5]]
[3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3]=>[3,5,2,7,6,1,4]=>[[1,4,6],[2,5],[3,7]]
[3,7,5,6,2,1,4]=>[4,1,2,6,5,7,3]=>[5,2,3,7,6,1,4]=>[[1,3,4],[2,6],[5,7]]
[3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3]=>[2,5,3,7,6,1,4]=>[[1,3,4],[2,6],[5,7]]
[3,7,5,6,4,1,2]=>[2,1,4,6,5,7,3]=>[3,2,5,7,6,1,4]=>[[1,4,6],[2,5],[3,7]]
[3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3]=>[2,3,5,7,6,1,4]=>[[1,3,4,6],[2,5],[7]]
[3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3]=>[6,5,3,2,7,1,4]=>[[1,4],[2,7],[3],[5],[6]]
[3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3]=>[5,6,3,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]
[3,7,6,1,4,2,5]=>[5,2,4,1,6,7,3]=>[6,3,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6]]
[3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3]=>[3,6,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6]]
[3,7,6,1,5,2,4]=>[4,2,5,1,6,7,3]=>[5,3,6,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]
[3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3]=>[3,5,6,2,7,1,4]=>[[1,4,6,7],[2,5],[3]]
[3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3]=>[6,5,2,3,7,1,4]=>[[1,3,4],[2,7],[5],[6]]
[3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3]=>[5,6,2,3,7,1,4]=>[[1,3,4],[2,6,7],[5]]
[3,7,6,2,4,1,5]=>[5,1,4,2,6,7,3]=>[6,2,5,3,7,1,4]=>[[1,3,4],[2,7],[5],[6]]
[3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3]=>[2,6,5,3,7,1,4]=>[[1,3,4],[2,7],[5],[6]]
[3,7,6,2,5,1,4]=>[4,1,5,2,6,7,3]=>[5,2,6,3,7,1,4]=>[[1,3,4],[2,6,7],[5]]
[3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3]=>[2,5,6,3,7,1,4]=>[[1,3,4,7],[2,6],[5]]
[3,7,6,4,1,2,5]=>[5,2,1,4,6,7,3]=>[6,3,2,5,7,1,4]=>[[1,4,7],[2,5],[3],[6]]
[3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3]=>[3,6,2,5,7,1,4]=>[[1,4,7],[2,5],[3,6]]
[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[6,2,3,5,7,1,4]=>[[1,3,4,7],[2,5],[6]]
[3,7,6,4,2,5,1]=>[1,5,2,4,6,7,3]=>[2,6,3,5,7,1,4]=>[[1,3,4,7],[2,5],[6]]
[3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3]=>[3,2,6,5,7,1,4]=>[[1,4,7],[2,5],[3,6]]
[3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3]=>[2,3,6,5,7,1,4]=>[[1,3,4,7],[2,5],[6]]
[3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3]=>[5,3,2,6,7,1,4]=>[[1,4,7],[2,6],[3],[5]]
[3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3]=>[3,5,2,6,7,1,4]=>[[1,4,6,7],[2,5],[3]]
[3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3]=>[5,2,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5]]
[3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3]=>[2,5,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5]]
[3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3]=>[3,2,5,6,7,1,4]=>[[1,4,6,7],[2,5],[3]]
[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]=>[2,3,5,6,7,1,4]=>[[1,3,4,6,7],[2,5]]
[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>[7,6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6],[7]]
[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]=>[7,1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]
[4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]=>[6,7,4,3,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]
[4,1,2,3,6,7,5]=>[5,7,6,3,2,1,4]=>[6,1,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]
[4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]=>[7,6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]
[4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4]=>[6,7,1,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]
[4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]=>[7,4,6,3,2,5,1]=>[[1,5],[2,6],[3],[4],[7]]
[4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]=>[7,1,4,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]
[4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4]=>[4,7,6,3,2,5,1]=>[[1,5],[2,6],[3],[4],[7]]
[4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]=>[4,1,7,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]
[4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4]=>[7,4,1,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]
[4,1,2,5,7,6,3]=>[3,6,7,5,2,1,4]=>[4,7,1,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]
[4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]=>[6,4,7,3,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]
[4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]=>[6,1,4,7,3,2,5]=>[[1,2,5],[3,7],[4],[6]]
[4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4]=>[4,6,7,3,2,5,1]=>[[1,5,7],[2,6],[3],[4]]
[4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4]=>[4,1,6,7,3,2,5]=>[[1,2,5],[3,6,7],[4]]
[4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4]=>[6,4,1,7,3,2,5]=>[[1,2,5],[3,7],[4],[6]]
[4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4]=>[4,6,1,7,3,2,5]=>[[1,2,5],[3,6,7],[4]]
[4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]=>[7,6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]
[4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4]=>[6,7,4,1,3,2,5]=>[[1,2,5],[3,7],[4],[6]]
[4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4]=>[7,4,6,1,3,2,5]=>[[1,2,5],[3,6],[4],[7]]
[4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4]=>[4,7,6,1,3,2,5]=>[[1,2,5],[3,6],[4],[7]]
[4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4]=>[6,4,7,1,3,2,5]=>[[1,2,5],[3,7],[4],[6]]
[4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4]=>[4,6,7,1,3,2,5]=>[[1,2,5],[3,6,7],[4]]
[4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4]=>[7,6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7]]
[4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4]=>[7,1,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]
[4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4]=>[6,7,3,4,2,5,1]=>[[1,4,5],[2,7],[3],[6]]
[4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4]=>[6,1,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6]]
[4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4]=>[7,6,1,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]
[4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4]=>[6,7,1,3,4,2,5]=>[[1,2,4,5],[3,7],[6]]
[4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4]=>[7,3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7]]
[4,1,3,5,2,7,6]=>[6,7,2,5,3,1,4]=>[7,1,3,6,4,2,5]=>[[1,2,4,5],[3],[6],[7]]
[4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4]=>[3,7,6,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7]]
[4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4]=>[3,1,7,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]
[4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4]=>[7,3,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]
[4,1,3,5,7,6,2]=>[2,6,7,5,3,1,4]=>[3,7,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]
[4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4]=>[6,3,7,4,2,5,1]=>[[1,4,5],[2,7],[3],[6]]
[4,1,3,6,2,7,5]=>[5,7,2,6,3,1,4]=>[6,1,3,7,4,2,5]=>[[1,2,4,5],[3,7],[6]]
[4,1,3,6,5,2,7]=>[7,2,5,6,3,1,4]=>[3,6,7,4,2,5,1]=>[[1,4,5],[2,7],[3],[6]]
[4,1,3,6,5,7,2]=>[2,7,5,6,3,1,4]=>[3,1,6,7,4,2,5]=>[[1,2,5],[3,4,7],[6]]
[4,1,3,6,7,2,5]=>[5,2,7,6,3,1,4]=>[6,3,1,7,4,2,5]=>[[1,2,5],[3,4],[6,7]]
[4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4]=>[3,6,1,7,4,2,5]=>[[1,2,5],[3,4,7],[6]]
[4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4]=>[7,6,3,1,4,2,5]=>[[1,2,5],[3,4],[6],[7]]
[4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4]=>[6,7,3,1,4,2,5]=>[[1,2,5],[3,4],[6,7]]
[4,1,3,7,5,2,6]=>[6,2,5,7,3,1,4]=>[7,3,6,1,4,2,5]=>[[1,2,5],[3,4],[6],[7]]
[4,1,3,7,5,6,2]=>[2,6,5,7,3,1,4]=>[3,7,6,1,4,2,5]=>[[1,2,5],[3,4],[6],[7]]
[4,1,3,7,6,2,5]=>[5,2,6,7,3,1,4]=>[6,3,7,1,4,2,5]=>[[1,2,5],[3,4],[6,7]]
[4,1,3,7,6,5,2]=>[2,5,6,7,3,1,4]=>[3,6,7,1,4,2,5]=>[[1,2,5],[3,4,7],[6]]
[4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4]=>[7,4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4],[7]]
[4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4]=>[7,1,4,3,6,2,5]=>[[1,2,5],[3,6],[4],[7]]
[4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]=>[4,7,3,6,2,5,1]=>[[1,5],[2,6],[3,7],[4]]
[4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4]=>[4,1,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]
[4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]=>[7,4,1,3,6,2,5]=>[[1,2,5],[3,6],[4],[7]]
[4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4]=>[4,7,1,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]
[4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4]=>[7,3,4,6,2,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,1,5,3,2,7,6]=>[6,7,2,3,5,1,4]=>[7,1,3,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]
[4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4]=>[3,7,4,6,2,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,1,5,3,6,7,2]=>[2,7,6,3,5,1,4]=>[3,1,7,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]
[4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4]=>[7,3,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]
[4,1,5,3,7,6,2]=>[2,6,7,3,5,1,4]=>[3,7,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]
[4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4]=>[4,3,7,6,2,5,1]=>[[1,5],[2,6],[3,7],[4]]
[4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4]=>[4,1,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]
[4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4]=>[3,4,7,6,2,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,1,5,6,3,7,2]=>[2,7,3,6,5,1,4]=>[3,1,4,7,6,2,5]=>[[1,2,5],[3,4,6],[7]]
[4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4]=>[4,3,1,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]
[4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4]=>[3,4,1,7,6,2,5]=>[[1,2,5],[3,4,6],[7]]
[4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4]=>[7,4,3,1,6,2,5]=>[[1,2,5],[3,6],[4],[7]]
[4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4]=>[4,7,3,1,6,2,5]=>[[1,2,5],[3,6],[4,7]]
[4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4]=>[7,3,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]
[4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4]=>[3,7,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]
[4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4]=>[4,3,7,1,6,2,5]=>[[1,2,5],[3,6],[4,7]]
[4,1,5,7,6,3,2]=>[2,3,6,7,5,1,4]=>[3,4,7,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]
[4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]=>[6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]
[4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4]=>[6,1,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]
[4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4]=>[4,6,3,7,2,5,1]=>[[1,5,7],[2,6],[3],[4]]
[4,1,6,2,5,7,3]=>[3,7,5,2,6,1,4]=>[4,1,6,3,7,2,5]=>[[1,2,5],[3,6,7],[4]]
[4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4]=>[6,4,1,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]
[4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4]=>[4,6,1,3,7,2,5]=>[[1,2,5],[3,6,7],[4]]
[4,1,6,3,2,5,7]=>[7,5,2,3,6,1,4]=>[6,3,4,7,2,5,1]=>[[1,4,5],[2,7],[3],[6]]
[4,1,6,3,2,7,5]=>[5,7,2,3,6,1,4]=>[6,1,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]
[4,1,6,3,5,2,7]=>[7,2,5,3,6,1,4]=>[3,6,4,7,2,5,1]=>[[1,4,5],[2,7],[3],[6]]
[4,1,6,3,5,7,2]=>[2,7,5,3,6,1,4]=>[3,1,6,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]
[4,1,6,3,7,2,5]=>[5,2,7,3,6,1,4]=>[6,3,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]
[4,1,6,3,7,5,2]=>[2,5,7,3,6,1,4]=>[3,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]
[4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4]=>[4,3,6,7,2,5,1]=>[[1,5,7],[2,6],[3],[4]]
[4,1,6,5,2,7,3]=>[3,7,2,5,6,1,4]=>[4,1,3,6,7,2,5]=>[[1,2,5,7],[3,6],[4]]
[4,1,6,5,3,2,7]=>[7,2,3,5,6,1,4]=>[3,4,6,7,2,5,1]=>[[1,4,5,7],[2,6],[3]]
[4,1,6,5,3,7,2]=>[2,7,3,5,6,1,4]=>[3,1,4,6,7,2,5]=>[[1,2,5,7],[3,4,6]]
[4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4]=>[4,3,1,6,7,2,5]=>[[1,2,5],[3,6,7],[4]]
[4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4]=>[3,4,1,6,7,2,5]=>[[1,2,5,7],[3,4,6]]
[4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4]=>[6,4,3,1,7,2,5]=>[[1,2,5],[3,7],[4],[6]]
[4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4]=>[4,6,3,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]
[4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4]=>[6,3,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6]]
[4,1,6,7,3,5,2]=>[2,5,3,7,6,1,4]=>[3,6,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6]]
[4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4]=>[4,3,6,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]
[4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4]=>[3,4,6,1,7,2,5]=>[[1,2,5,7],[3,4,6]]
[4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4]=>[7,6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6],[7]]
[4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4]=>[6,7,4,3,1,2,5]=>[[1,2,5],[3,7],[4],[6]]
[4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4]=>[7,4,6,3,1,2,5]=>[[1,2,5],[3,6],[4],[7]]
[4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4]=>[4,7,6,3,1,2,5]=>[[1,2,5],[3,6],[4],[7]]
[4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4]=>[6,4,7,3,1,2,5]=>[[1,2,5],[3,7],[4],[6]]
[4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4]=>[4,6,7,3,1,2,5]=>[[1,2,5],[3,6,7],[4]]
[4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4]=>[7,6,3,4,1,2,5]=>[[1,2,5],[3,4],[6],[7]]
[4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4]=>[6,7,3,4,1,2,5]=>[[1,2,5],[3,4],[6,7]]
[4,1,7,3,5,2,6]=>[6,2,5,3,7,1,4]=>[7,3,6,4,1,2,5]=>[[1,2,5],[3,4],[6],[7]]
[4,1,7,3,5,6,2]=>[2,6,5,3,7,1,4]=>[3,7,6,4,1,2,5]=>[[1,2,5],[3,4],[6],[7]]
[4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4]=>[6,3,7,4,1,2,5]=>[[1,2,5],[3,4],[6,7]]
[4,1,7,3,6,5,2]=>[2,5,6,3,7,1,4]=>[3,6,7,4,1,2,5]=>[[1,2,5],[3,4,7],[6]]
[4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4]=>[7,4,3,6,1,2,5]=>[[1,2,5],[3,6],[4],[7]]
[4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4]=>[4,7,3,6,1,2,5]=>[[1,2,5],[3,6],[4,7]]
[4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4]=>[7,3,4,6,1,2,5]=>[[1,2,5],[3,4,6],[7]]
[4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4]=>[3,7,4,6,1,2,5]=>[[1,2,5],[3,4,6],[7]]
[4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4]=>[4,3,7,6,1,2,5]=>[[1,2,5],[3,6],[4,7]]
[4,1,7,5,6,3,2]=>[2,3,6,5,7,1,4]=>[3,4,7,6,1,2,5]=>[[1,2,5],[3,4,6],[7]]
[4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4]=>[6,4,3,7,1,2,5]=>[[1,2,5],[3,7],[4],[6]]
[4,1,7,6,2,5,3]=>[3,5,2,6,7,1,4]=>[4,6,3,7,1,2,5]=>[[1,2,5],[3,6,7],[4]]
[4,1,7,6,3,2,5]=>[5,2,3,6,7,1,4]=>[6,3,4,7,1,2,5]=>[[1,2,5],[3,4,7],[6]]
[4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4]=>[3,6,4,7,1,2,5]=>[[1,2,5],[3,4,7],[6]]
[4,1,7,6,5,2,3]=>[3,2,5,6,7,1,4]=>[4,3,6,7,1,2,5]=>[[1,2,5],[3,6,7],[4]]
[4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]=>[3,4,6,7,1,2,5]=>[[1,2,5,7],[3,4,6]]
[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]=>[7,6,4,2,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]
[4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4]=>[7,1,6,4,2,3,5]=>[[1,2,3,5],[4],[6],[7]]
[4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4]=>[6,7,4,2,3,5,1]=>[[1,3,5],[2,7],[4],[6]]
[4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4]=>[6,1,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6]]
[4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4]=>[7,6,1,4,2,3,5]=>[[1,2,3,5],[4],[6],[7]]
[4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4]=>[6,7,1,4,2,3,5]=>[[1,2,3,5],[4,7],[6]]
[4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4]=>[7,4,6,2,3,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,2,1,5,3,7,6]=>[6,7,3,5,1,2,4]=>[7,1,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]
[4,2,1,5,6,3,7]=>[7,3,6,5,1,2,4]=>[4,7,6,2,3,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4]=>[4,1,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]
[4,2,1,5,7,3,6]=>[6,3,7,5,1,2,4]=>[7,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]
[4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4]=>[4,7,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]
[4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4]=>[6,4,7,2,3,5,1]=>[[1,3,5],[2,7],[4],[6]]
[4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4]=>[6,1,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]
[4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4]=>[4,6,7,2,3,5,1]=>[[1,3,5],[2,6,7],[4]]
[4,2,1,6,5,7,3]=>[3,7,5,6,1,2,4]=>[4,1,6,7,2,3,5]=>[[1,2,3,5],[4,6,7]]
[4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4]=>[6,4,1,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]
[4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4]=>[4,6,1,7,2,3,5]=>[[1,2,3,5],[4,6,7]]
[4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4]=>[7,6,4,1,2,3,5]=>[[1,2,3,5],[4],[6],[7]]
[4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4]=>[6,7,4,1,2,3,5]=>[[1,2,3,5],[4,7],[6]]
[4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4]=>[7,4,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7]]
[4,2,1,7,5,6,3]=>[3,6,5,7,1,2,4]=>[4,7,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7]]
[4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]=>[6,4,7,1,2,3,5]=>[[1,2,3,5],[4,7],[6]]
[4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]=>[4,6,7,1,2,3,5]=>[[1,2,3,5],[4,6,7]]
[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[7,6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]
[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[7,1,6,2,4,3,5]=>[[1,2,3,5],[4],[6],[7]]
[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[6,7,2,4,3,5,1]=>[[1,3,5],[2,7],[4],[6]]
[4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4]=>[6,1,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6]]
[4,2,3,1,7,5,6]=>[6,5,7,1,3,2,4]=>[7,6,1,2,4,3,5]=>[[1,2,3,5],[4],[6],[7]]
[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[6,7,1,2,4,3,5]=>[[1,2,3,5],[4,7],[6]]
[4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4]=>[7,2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]
[4,2,3,5,1,7,6]=>[6,7,1,5,3,2,4]=>[7,1,2,6,4,3,5]=>[[1,2,3,5],[4],[6],[7]]
[4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4]=>[2,7,6,4,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]
[4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4]=>[2,1,7,6,4,3,5]=>[[1,3,5],[2,4],[6],[7]]
[4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4]=>[7,2,1,6,4,3,5]=>[[1,3,5],[2,4],[6],[7]]
[4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4]=>[2,7,1,6,4,3,5]=>[[1,3,5],[2,4],[6],[7]]
[4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4]=>[6,2,7,4,3,5,1]=>[[1,3,5],[2,7],[4],[6]]
[4,2,3,6,1,7,5]=>[5,7,1,6,3,2,4]=>[6,1,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6]]
[4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4]=>[2,6,7,4,3,5,1]=>[[1,3,5],[2,7],[4],[6]]
[4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4]=>[2,1,6,7,4,3,5]=>[[1,3,5],[2,4,7],[6]]
[4,2,3,6,7,1,5]=>[5,1,7,6,3,2,4]=>[6,2,1,7,4,3,5]=>[[1,3,5],[2,4],[6,7]]
[4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4]=>[2,6,1,7,4,3,5]=>[[1,3,5],[2,4,7],[6]]
[4,2,3,7,1,5,6]=>[6,5,1,7,3,2,4]=>[7,6,2,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]
[4,2,3,7,1,6,5]=>[5,6,1,7,3,2,4]=>[6,7,2,1,4,3,5]=>[[1,3,5],[2,4],[6,7]]
[4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4]=>[7,2,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]
[4,2,3,7,5,6,1]=>[1,6,5,7,3,2,4]=>[2,7,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]
[4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4]=>[6,2,7,1,4,3,5]=>[[1,3,5],[2,4],[6,7]]
[4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4]=>[2,6,7,1,4,3,5]=>[[1,3,5],[2,4,7],[6]]
[4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]=>[7,4,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]=>[7,1,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]
[4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4]=>[4,7,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4]=>[4,1,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]
[4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4]=>[7,4,1,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]
[4,2,5,1,7,6,3]=>[3,6,7,1,5,2,4]=>[4,7,1,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]
[4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4]=>[7,2,4,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,2,5,3,1,7,6]=>[6,7,1,3,5,2,4]=>[7,1,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7]]
[4,2,5,3,6,1,7]=>[7,1,6,3,5,2,4]=>[2,7,4,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,2,5,3,6,7,1]=>[1,7,6,3,5,2,4]=>[2,1,7,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]
[4,2,5,3,7,1,6]=>[6,1,7,3,5,2,4]=>[7,2,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]
[4,2,5,3,7,6,1]=>[1,6,7,3,5,2,4]=>[2,7,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]
[4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4]=>[4,2,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4]=>[4,1,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]
[4,2,5,6,3,1,7]=>[7,1,3,6,5,2,4]=>[2,4,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4]=>[2,1,4,7,6,3,5]=>[[1,3,5],[2,4,6],[7]]
[4,2,5,6,7,1,3]=>[3,1,7,6,5,2,4]=>[4,2,1,7,6,3,5]=>[[1,3,5],[2,6],[4,7]]
[4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4]=>[2,4,1,7,6,3,5]=>[[1,3,5],[2,4,6],[7]]
[4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4]=>[7,4,2,1,6,3,5]=>[[1,3,5],[2,6],[4],[7]]
[4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4]=>[4,7,2,1,6,3,5]=>[[1,3,5],[2,6],[4,7]]
[4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4]=>[7,2,4,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]
[4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4]=>[2,7,4,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]
[4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4]=>[4,2,7,1,6,3,5]=>[[1,3,5],[2,6],[4,7]]
[4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4]=>[2,4,7,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]
[4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4]=>[6,4,2,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]
[4,2,6,1,3,7,5]=>[5,7,3,1,6,2,4]=>[6,1,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]
[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[4,6,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4]]
[4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4]=>[4,1,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]
[4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]=>[6,4,1,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]
[4,2,6,1,7,5,3]=>[3,5,7,1,6,2,4]=>[4,6,1,2,7,3,5]=>[[1,2,3,5],[4,6,7]]
[4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4]=>[6,2,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]
[4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4]=>[6,1,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]
[4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4]=>[2,6,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]
[4,2,6,3,5,7,1]=>[1,7,5,3,6,2,4]=>[2,1,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]
[4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4]=>[6,2,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]
[4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4]=>[2,6,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]
[4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4]=>[4,2,6,7,3,5,1]=>[[1,3,5],[2,6,7],[4]]
[4,2,6,5,1,7,3]=>[3,7,1,5,6,2,4]=>[4,1,2,6,7,3,5]=>[[1,2,3,5],[4,6,7]]
[4,2,6,5,3,1,7]=>[7,1,3,5,6,2,4]=>[2,4,6,7,3,5,1]=>[[1,3,5,7],[2,6],[4]]
[4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4]=>[2,1,4,6,7,3,5]=>[[1,3,5,7],[2,4,6]]
[4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4]=>[4,2,1,6,7,3,5]=>[[1,3,5],[2,6,7],[4]]
[4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4]=>[2,4,1,6,7,3,5]=>[[1,3,5,7],[2,4,6]]
[4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4]=>[6,4,2,1,7,3,5]=>[[1,3,5],[2,7],[4],[6]]
[4,2,6,7,1,5,3]=>[3,5,1,7,6,2,4]=>[4,6,2,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]
[4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4]=>[6,2,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6]]
[4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4]=>[2,6,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6]]
[4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4]=>[4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]
[4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4]=>[2,4,6,1,7,3,5]=>[[1,3,5,7],[2,4,6]]
[4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4]=>[7,6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6],[7]]
[4,2,7,1,3,6,5]=>[5,6,3,1,7,2,4]=>[6,7,4,2,1,3,5]=>[[1,3,5],[2,7],[4],[6]]
[4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4]=>[7,4,6,2,1,3,5]=>[[1,3,5],[2,6],[4],[7]]
[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[4,7,6,2,1,3,5]=>[[1,3,5],[2,6],[4],[7]]
[4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4]=>[6,4,7,2,1,3,5]=>[[1,3,5],[2,7],[4],[6]]
[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[4,6,7,2,1,3,5]=>[[1,3,5],[2,6,7],[4]]
[4,2,7,3,1,5,6]=>[6,5,1,3,7,2,4]=>[7,6,2,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]
[4,2,7,3,1,6,5]=>[5,6,1,3,7,2,4]=>[6,7,2,4,1,3,5]=>[[1,3,5],[2,4],[6,7]]
[4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4]=>[7,2,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]
[4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4]=>[2,7,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]
[4,2,7,3,6,1,5]=>[5,1,6,3,7,2,4]=>[6,2,7,4,1,3,5]=>[[1,3,5],[2,4],[6,7]]
[4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4]=>[2,6,7,4,1,3,5]=>[[1,3,5],[2,4,7],[6]]
[4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4]=>[7,4,2,6,1,3,5]=>[[1,3,5],[2,6],[4],[7]]
[4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4]=>[4,7,2,6,1,3,5]=>[[1,3,5],[2,6],[4,7]]
[4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4]=>[7,2,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]
[4,2,7,5,3,6,1]=>[1,6,3,5,7,2,4]=>[2,7,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]
[4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4]=>[4,2,7,6,1,3,5]=>[[1,3,5],[2,6],[4,7]]
[4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4]=>[2,4,7,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]
[4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4]=>[6,4,2,7,1,3,5]=>[[1,3,5],[2,7],[4],[6]]
[4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]=>[4,6,2,7,1,3,5]=>[[1,3,5],[2,6,7],[4]]
[4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4]=>[6,2,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6]]
[4,2,7,6,3,5,1]=>[1,5,3,6,7,2,4]=>[2,6,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6]]
[4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4]=>[4,2,6,7,1,3,5]=>[[1,3,5],[2,6,7],[4]]
[4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4]=>[2,4,6,7,1,3,5]=>[[1,3,5,7],[2,4,6]]
[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>[7,6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6],[7]]
[4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]=>[7,1,6,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]
[4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]=>[6,7,3,2,4,5,1]=>[[1,4,5],[2,7],[3],[6]]
[4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4]=>[6,1,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6]]
[4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]=>[7,6,1,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]
[4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]=>[6,7,1,3,2,4,5]=>[[1,2,4,5],[3,7],[6]]
[4,3,1,5,2,6,7]=>[7,6,2,5,1,3,4]=>[7,3,6,2,4,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4]=>[7,1,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]
[4,3,1,5,6,2,7]=>[7,2,6,5,1,3,4]=>[3,7,6,2,4,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4]=>[3,1,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]
[4,3,1,5,7,2,6]=>[6,2,7,5,1,3,4]=>[7,3,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]
[4,3,1,5,7,6,2]=>[2,6,7,5,1,3,4]=>[3,7,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]
[4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4]=>[6,3,7,2,4,5,1]=>[[1,4,5],[2,7],[3],[6]]
[4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4]=>[6,1,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]
[4,3,1,6,5,2,7]=>[7,2,5,6,1,3,4]=>[3,6,7,2,4,5,1]=>[[1,4,5],[2,6,7],[3]]
[4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4]=>[3,1,6,7,2,4,5]=>[[1,2,4,5],[3,6,7]]
[4,3,1,6,7,2,5]=>[5,2,7,6,1,3,4]=>[6,3,1,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]
[4,3,1,6,7,5,2]=>[2,5,7,6,1,3,4]=>[3,6,1,7,2,4,5]=>[[1,2,4,5],[3,6,7]]
[4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4]=>[7,6,3,1,2,4,5]=>[[1,2,4,5],[3],[6],[7]]
[4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4]=>[6,7,3,1,2,4,5]=>[[1,2,4,5],[3,7],[6]]
[4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4]=>[7,3,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7]]
[4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4]=>[3,7,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7]]
[4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]=>[6,3,7,1,2,4,5]=>[[1,2,4,5],[3,7],[6]]
[4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]=>[3,6,7,1,2,4,5]=>[[1,2,4,5],[3,6,7]]
[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[7,6,2,3,4,5,1]=>[[1,3,4,5],[2],[6],[7]]
[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[7,1,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]
[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[6,7,2,3,4,5,1]=>[[1,3,4,5],[2,7],[6]]
[4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]=>[6,1,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]
[4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]=>[7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]
[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[6,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7]]
[4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>[7,2,6,3,4,5,1]=>[[1,3,4,5],[2],[6],[7]]
[4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]=>[7,1,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]
[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>[2,7,6,3,4,5,1]=>[[1,3,4,5],[2],[6],[7]]
[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>[2,1,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4]=>[7,2,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]=>[2,7,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4]=>[6,2,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6]]
[4,3,2,6,1,7,5]=>[5,7,1,6,2,3,4]=>[6,1,2,7,3,4,5]=>[[1,2,3,4,5],[6,7]]
[4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]=>[2,6,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6]]
[4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]=>[2,1,6,7,3,4,5]=>[[1,3,4,5],[2,6,7]]
[4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4]=>[6,2,1,7,3,4,5]=>[[1,3,4,5],[2,7],[6]]
[4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]=>[2,6,1,7,3,4,5]=>[[1,3,4,5],[2,6,7]]
[4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4]=>[7,6,2,1,3,4,5]=>[[1,3,4,5],[2],[6],[7]]
[4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4]=>[6,7,2,1,3,4,5]=>[[1,3,4,5],[2,7],[6]]
[4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4]=>[7,2,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4]=>[2,7,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4]=>[6,2,7,1,3,4,5]=>[[1,3,4,5],[2,7],[6]]
[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>[2,6,7,1,3,4,5]=>[[1,3,4,5],[2,6,7]]
[4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]=>[7,3,2,6,4,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4]=>[7,1,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]
[4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4]=>[3,7,2,6,4,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,3,5,1,6,7,2]=>[2,7,6,1,5,3,4]=>[3,1,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]
[4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4]=>[7,3,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]
[4,3,5,1,7,6,2]=>[2,6,7,1,5,3,4]=>[3,7,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]
[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>[7,2,3,6,4,5,1]=>[[1,3,4,5],[2],[6],[7]]
[4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]=>[7,1,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7]]
[4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>[2,7,3,6,4,5,1]=>[[1,3,4,5],[2],[6],[7]]
[4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>[2,1,7,3,6,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4]=>[7,2,1,3,6,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]=>[2,7,1,3,6,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]=>[3,2,7,6,4,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,3,5,6,1,7,2]=>[2,7,1,6,5,3,4]=>[3,1,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7]]
[4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>[2,3,7,6,4,5,1]=>[[1,3,4,5],[2],[6],[7]]
[4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>[2,1,3,7,6,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]=>[3,2,1,7,6,4,5]=>[[1,4,5],[2,6],[3,7]]
[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>[2,3,1,7,6,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4]=>[7,3,2,1,6,4,5]=>[[1,4,5],[2,6],[3],[7]]
[4,3,5,7,1,6,2]=>[2,6,1,7,5,3,4]=>[3,7,2,1,6,4,5]=>[[1,4,5],[2,6],[3,7]]
[4,3,5,7,2,1,6]=>[6,1,2,7,5,3,4]=>[7,2,3,1,6,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4]=>[2,7,3,1,6,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,5,7,6,1,2]=>[2,1,6,7,5,3,4]=>[3,2,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7]]
[4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4]=>[6,3,2,7,4,5,1]=>[[1,4,5],[2,7],[3],[6]]
[4,3,6,1,2,7,5]=>[5,7,2,1,6,3,4]=>[6,1,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6]]
[4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4]=>[3,6,2,7,4,5,1]=>[[1,4,5],[2,6,7],[3]]
[4,3,6,1,5,7,2]=>[2,7,5,1,6,3,4]=>[3,1,6,2,7,4,5]=>[[1,2,4,5],[3,6,7]]
[4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4]=>[6,3,1,2,7,4,5]=>[[1,2,4,5],[3,7],[6]]
[4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4]=>[3,6,1,2,7,4,5]=>[[1,2,4,5],[3,6,7]]
[4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4]=>[6,2,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6]]
[4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4]=>[6,1,2,3,7,4,5]=>[[1,2,3,4,5],[6,7]]
[4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4]=>[2,6,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6]]
[4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4]=>[2,1,6,3,7,4,5]=>[[1,3,4,5],[2,6,7]]
[4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4]=>[6,2,1,3,7,4,5]=>[[1,3,4,5],[2,7],[6]]
[4,3,6,2,7,5,1]=>[1,5,7,2,6,3,4]=>[2,6,1,3,7,4,5]=>[[1,3,4,5],[2,6,7]]
[4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4]=>[3,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3]]
[4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4]=>[3,1,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]
[4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>[2,3,6,7,4,5,1]=>[[1,3,4,5],[2,7],[6]]
[4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]=>[2,1,3,6,7,4,5]=>[[1,3,4,5],[2,6,7]]
[4,3,6,5,7,1,2]=>[2,1,7,5,6,3,4]=>[3,2,1,6,7,4,5]=>[[1,4,5],[2,6,7],[3]]
[4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>[2,3,1,6,7,4,5]=>[[1,3,4,5],[2,6,7]]
[4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4]=>[6,3,2,1,7,4,5]=>[[1,4,5],[2,7],[3],[6]]
[4,3,6,7,1,5,2]=>[2,5,1,7,6,3,4]=>[3,6,2,1,7,4,5]=>[[1,4,5],[2,6,7],[3]]
[4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4]=>[6,2,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6]]
[4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4]=>[2,6,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6]]
[4,3,6,7,5,1,2]=>[2,1,5,7,6,3,4]=>[3,2,6,1,7,4,5]=>[[1,4,5],[2,6,7],[3]]
[4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>[2,3,6,1,7,4,5]=>[[1,3,4,5],[2,6,7]]
[4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4]=>[7,6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6],[7]]
[4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4]=>[6,7,3,2,1,4,5]=>[[1,4,5],[2,7],[3],[6]]
[4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4]=>[7,3,6,2,1,4,5]=>[[1,4,5],[2,6],[3],[7]]
[4,3,7,1,5,6,2]=>[2,6,5,1,7,3,4]=>[3,7,6,2,1,4,5]=>[[1,4,5],[2,6],[3],[7]]
[4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4]=>[6,3,7,2,1,4,5]=>[[1,4,5],[2,7],[3],[6]]
[4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]=>[3,6,7,2,1,4,5]=>[[1,4,5],[2,6,7],[3]]
[4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4]=>[7,6,2,3,1,4,5]=>[[1,3,4,5],[2],[6],[7]]
[4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4]=>[6,7,2,3,1,4,5]=>[[1,3,4,5],[2,7],[6]]
[4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4]=>[7,2,6,3,1,4,5]=>[[1,3,4,5],[2],[6],[7]]
[4,3,7,2,5,6,1]=>[1,6,5,2,7,3,4]=>[2,7,6,3,1,4,5]=>[[1,3,4,5],[2],[6],[7]]
[4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]=>[6,2,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6]]
[4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]=>[2,6,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6]]
[4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4]=>[7,3,2,6,1,4,5]=>[[1,4,5],[2,6],[3],[7]]
[4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4]=>[3,7,2,6,1,4,5]=>[[1,4,5],[2,6],[3,7]]
[4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4]=>[7,2,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4]=>[2,7,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,7,5,6,1,2]=>[2,1,6,5,7,3,4]=>[3,2,7,6,1,4,5]=>[[1,4,5],[2,6],[3,7]]
[4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4]=>[2,3,7,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]
[4,3,7,6,1,2,5]=>[5,2,1,6,7,3,4]=>[6,3,2,7,1,4,5]=>[[1,4,5],[2,7],[3],[6]]
[4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]=>[3,6,2,7,1,4,5]=>[[1,4,5],[2,6,7],[3]]
[4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4]=>[6,2,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6]]
[4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4]=>[2,6,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6]]
[4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4]=>[3,2,6,7,1,4,5]=>[[1,4,5],[2,6,7],[3]]
[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>[2,3,6,7,1,4,5]=>[[1,3,4,5],[2,6,7]]
[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>[7,4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4],[7]]
[4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]=>[7,1,4,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]
[4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]=>[4,7,3,2,6,5,1]=>[[1,5],[2,6],[3,7],[4]]
[4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]=>[4,1,7,3,2,6,5]=>[[1,2,5],[3,6],[4,7]]
[4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]=>[7,4,1,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]
[4,5,1,2,7,6,3]=>[3,6,7,2,1,5,4]=>[4,7,1,3,2,6,5]=>[[1,2,5],[3,6],[4,7]]
[4,5,1,3,2,6,7]=>[7,6,2,3,1,5,4]=>[7,3,4,2,6,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4]=>[7,1,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7]]
[4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4]=>[3,7,4,2,6,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4]=>[3,1,7,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]
[4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4]=>[7,3,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]
[4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4]=>[3,7,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]
[4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]=>[4,3,7,2,6,5,1]=>[[1,5],[2,6],[3,7],[4]]
[4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]=>[4,1,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]
[4,5,1,6,3,2,7]=>[7,2,3,6,1,5,4]=>[3,4,7,2,6,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4]=>[3,1,4,7,2,6,5]=>[[1,2,5],[3,4,6],[7]]
[4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]=>[4,3,1,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]
[4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]=>[3,4,1,7,2,6,5]=>[[1,2,5],[3,4,6],[7]]
[4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]=>[7,4,3,1,2,6,5]=>[[1,2,5],[3,6],[4],[7]]
[4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4]=>[4,7,3,1,2,6,5]=>[[1,2,5],[3,6],[4,7]]
[4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4]=>[7,3,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7]]
[4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4]=>[3,7,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7]]
[4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4]=>[4,3,7,1,2,6,5]=>[[1,2,5],[3,6],[4,7]]
[4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4]=>[3,4,7,1,2,6,5]=>[[1,2,5],[3,4,6],[7]]
[4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]=>[7,4,2,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4]=>[7,1,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]
[4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4]=>[4,7,2,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4]=>[4,1,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]
[4,5,2,1,7,3,6]=>[6,3,7,1,2,5,4]=>[7,4,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]
[4,5,2,1,7,6,3]=>[3,6,7,1,2,5,4]=>[4,7,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]
[4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]=>[7,2,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4]=>[7,1,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7]]
[4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]=>[2,7,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]=>[2,1,7,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]
[4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4]=>[7,2,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]
[4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4]=>[2,7,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]
[4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4]=>[4,2,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4]=>[4,1,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]
[4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4]=>[2,4,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4]=>[2,1,4,7,3,6,5]=>[[1,3,5],[2,4,6],[7]]
[4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4]=>[4,2,1,7,3,6,5]=>[[1,3,5],[2,6],[4,7]]
[4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]=>[2,4,1,7,3,6,5]=>[[1,3,5],[2,4,6],[7]]
[4,5,2,7,1,3,6]=>[6,3,1,7,2,5,4]=>[7,4,2,1,3,6,5]=>[[1,3,5],[2,6],[4],[7]]
[4,5,2,7,1,6,3]=>[3,6,1,7,2,5,4]=>[4,7,2,1,3,6,5]=>[[1,3,5],[2,6],[4,7]]
[4,5,2,7,3,1,6]=>[6,1,3,7,2,5,4]=>[7,2,4,1,3,6,5]=>[[1,3,5],[2,4,6],[7]]
[4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4]=>[2,7,4,1,3,6,5]=>[[1,3,5],[2,4,6],[7]]
[4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4]=>[4,2,7,1,3,6,5]=>[[1,3,5],[2,6],[4,7]]
[4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4]=>[2,4,7,1,3,6,5]=>[[1,3,5],[2,4,6],[7]]
[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[7,3,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[7,1,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]
[4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4]=>[3,7,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4]=>[3,1,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]
[4,5,3,1,7,2,6]=>[6,2,7,1,3,5,4]=>[7,3,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]
[4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4]=>[3,7,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]
[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>[7,2,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]
[4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]=>[7,1,2,3,4,6,5]=>[[1,2,3,4,5],[6],[7]]
[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>[2,7,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]
[4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>[2,1,7,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,3,2,7,1,6]=>[6,1,7,2,3,5,4]=>[7,2,1,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]=>[2,7,1,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]=>[3,2,7,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4]=>[3,1,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7]]
[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>[2,3,7,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]
[4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>[2,1,3,7,4,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4]=>[3,2,1,7,4,6,5]=>[[1,4,5],[2,6],[3,7]]
[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>[2,3,1,7,4,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4]=>[7,3,2,1,4,6,5]=>[[1,4,5],[2,6],[3],[7]]
[4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4]=>[3,7,2,1,4,6,5]=>[[1,4,5],[2,6],[3,7]]
[4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4]=>[7,2,3,1,4,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4]=>[2,7,3,1,4,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,3,7,6,1,2]=>[2,1,6,7,3,5,4]=>[3,2,7,1,4,6,5]=>[[1,4,5],[2,6],[3,7]]
[4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>[2,3,7,1,4,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4]]
[4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]=>[4,1,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]
[4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4]=>[3,4,2,7,6,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,5,6,1,3,7,2]=>[2,7,3,1,6,5,4]=>[3,1,4,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]
[4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]=>[4,3,1,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]
[4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4]=>[3,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]
[4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]=>[4,2,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4]=>[4,1,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]
[4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]=>[2,4,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7]]
[4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]=>[2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]
[4,5,6,2,7,1,3]=>[3,1,7,2,6,5,4]=>[4,2,1,3,7,6,5]=>[[1,3,5],[2,6],[4,7]]
[4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4]=>[2,4,1,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]
[4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]=>[3,2,4,7,6,5,1]=>[[1,4,5],[2,6],[3],[7]]
[4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4]=>[3,1,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]
[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>[2,3,4,7,6,5,1]=>[[1,3,4,5],[2],[6],[7]]
[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>[2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]=>[3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]
[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>[2,3,1,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]=>[4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]
[4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]=>[3,4,2,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]
[4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]=>[4,2,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]
[4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]=>[2,4,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]
[4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]=>[3,2,4,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]
[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]=>[7,4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4],[7]]
[4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>[4,7,3,2,1,6,5]=>[[1,5],[2,6],[3,7],[4]]
[4,5,7,1,3,2,6]=>[6,2,3,1,7,5,4]=>[7,3,4,2,1,6,5]=>[[1,4,5],[2,6],[3],[7]]
[4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4]=>[3,7,4,2,1,6,5]=>[[1,4,5],[2,6],[3],[7]]
[4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4]=>[4,3,7,2,1,6,5]=>[[1,5],[2,6],[3,7],[4]]
[4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4]=>[3,4,7,2,1,6,5]=>[[1,4,5],[2,6],[3,7]]
[4,5,7,2,1,3,6]=>[6,3,1,2,7,5,4]=>[7,4,2,3,1,6,5]=>[[1,3,5],[2,6],[4],[7]]
[4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4]=>[4,7,2,3,1,6,5]=>[[1,3,5],[2,6],[4,7]]
[4,5,7,2,3,1,6]=>[6,1,3,2,7,5,4]=>[7,2,4,3,1,6,5]=>[[1,3,5],[2,6],[4],[7]]
[4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4]=>[2,7,4,3,1,6,5]=>[[1,3,5],[2,6],[4],[7]]
[4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4]=>[4,2,7,3,1,6,5]=>[[1,3,5],[2,6],[4,7]]
[4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4]=>[2,4,7,3,1,6,5]=>[[1,3,5],[2,6],[4,7]]
[4,5,7,3,1,2,6]=>[6,2,1,3,7,5,4]=>[7,3,2,4,1,6,5]=>[[1,4,5],[2,6],[3],[7]]
[4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4]=>[3,7,2,4,1,6,5]=>[[1,4,5],[2,6],[3,7]]
[4,5,7,3,2,1,6]=>[6,1,2,3,7,5,4]=>[7,2,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4]=>[2,7,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4]=>[3,2,7,4,1,6,5]=>[[1,4,5],[2,6],[3,7]]
[4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4]=>[2,3,7,4,1,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4]=>[4,3,2,7,1,6,5]=>[[1,5],[2,6],[3,7],[4]]
[4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]=>[3,4,2,7,1,6,5]=>[[1,4,5],[2,6],[3,7]]
[4,5,7,6,2,1,3]=>[3,1,2,6,7,5,4]=>[4,2,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7]]
[4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]=>[2,4,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7]]
[4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4]=>[3,2,4,7,1,6,5]=>[[1,4,5],[2,6],[3,7]]
[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>[2,3,4,7,1,6,5]=>[[1,3,4,5],[2,6],[7]]
[4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>[6,4,3,2,7,5,1]=>[[1,5],[2,7],[3],[4],[6]]
[4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]=>[6,1,4,3,2,7,5]=>[[1,2,5],[3,7],[4],[6]]
[4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4]=>[4,6,3,2,7,5,1]=>[[1,5,7],[2,6],[3],[4]]
[4,6,1,2,5,7,3]=>[3,7,5,2,1,6,4]=>[4,1,6,3,2,7,5]=>[[1,2,5],[3,6,7],[4]]
[4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]=>[6,4,1,3,2,7,5]=>[[1,2,5],[3,7],[4],[6]]
[4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4]=>[4,6,1,3,2,7,5]=>[[1,2,5],[3,6,7],[4]]
[4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4]=>[6,3,4,2,7,5,1]=>[[1,4,5],[2,7],[3],[6]]
[4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4]=>[6,1,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6]]
[4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4]=>[3,6,4,2,7,5,1]=>[[1,4,5],[2,7],[3],[6]]
[4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4]=>[3,1,6,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]
[4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4]=>[6,3,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]
[4,6,1,3,7,5,2]=>[2,5,7,3,1,6,4]=>[3,6,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]
[4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4]=>[4,3,6,2,7,5,1]=>[[1,5,7],[2,6],[3],[4]]
[4,6,1,5,2,7,3]=>[3,7,2,5,1,6,4]=>[4,1,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4]]
[4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4]=>[3,4,6,2,7,5,1]=>[[1,4,5,7],[2,6],[3]]
[4,6,1,5,3,7,2]=>[2,7,3,5,1,6,4]=>[3,1,4,6,2,7,5]=>[[1,2,5,7],[3,4,6]]
[4,6,1,5,7,2,3]=>[3,2,7,5,1,6,4]=>[4,3,1,6,2,7,5]=>[[1,2,5],[3,6,7],[4]]
[4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4]=>[3,4,1,6,2,7,5]=>[[1,2,5,7],[3,4,6]]
[4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]=>[6,4,3,1,2,7,5]=>[[1,2,5],[3,7],[4],[6]]
[4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4]=>[4,6,3,1,2,7,5]=>[[1,2,5],[3,6,7],[4]]
[4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4]=>[6,3,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6]]
[4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4]=>[3,6,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6]]
[4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4]=>[4,3,6,1,2,7,5]=>[[1,2,5],[3,6,7],[4]]
[4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4]=>[3,4,6,1,2,7,5]=>[[1,2,5,7],[3,4,6]]
[4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4]=>[6,4,2,3,7,5,1]=>[[1,3,5],[2,7],[4],[6]]
[4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4]=>[6,1,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6]]
[4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4]=>[4,6,2,3,7,5,1]=>[[1,3,5],[2,6,7],[4]]
[4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4]=>[4,1,6,2,3,7,5]=>[[1,2,3,5],[4,6,7]]
[4,6,2,1,7,3,5]=>[5,3,7,1,2,6,4]=>[6,4,1,2,3,7,5]=>[[1,2,3,5],[4,7],[6]]
[4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4]=>[4,6,1,2,3,7,5]=>[[1,2,3,5],[4,6,7]]
[4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4]=>[6,2,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6]]
[4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4]=>[6,1,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6]]
[4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4]=>[2,6,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6]]
[4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4]=>[2,1,6,4,3,7,5]=>[[1,3,5],[2,4,7],[6]]
[4,6,2,3,7,1,5]=>[5,1,7,3,2,6,4]=>[6,2,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6]]
[4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4]=>[2,6,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6]]
[4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4]=>[4,2,6,3,7,5,1]=>[[1,3,5],[2,6,7],[4]]
[4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4]=>[4,1,2,6,3,7,5]=>[[1,2,3,5],[4,6,7]]
[4,6,2,5,3,1,7]=>[7,1,3,5,2,6,4]=>[2,4,6,3,7,5,1]=>[[1,3,5,7],[2,6],[4]]
[4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4]=>[2,1,4,6,3,7,5]=>[[1,3,5,7],[2,4,6]]
[4,6,2,5,7,1,3]=>[3,1,7,5,2,6,4]=>[4,2,1,6,3,7,5]=>[[1,3,5],[2,6,7],[4]]
[4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4]=>[2,4,1,6,3,7,5]=>[[1,3,5,7],[2,4,6]]
[4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4]=>[6,4,2,1,3,7,5]=>[[1,3,5],[2,7],[4],[6]]
[4,6,2,7,1,5,3]=>[3,5,1,7,2,6,4]=>[4,6,2,1,3,7,5]=>[[1,3,5],[2,6,7],[4]]
[4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4]=>[6,2,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6]]
[4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6]]
[4,6,2,7,5,1,3]=>[3,1,5,7,2,6,4]=>[4,2,6,1,3,7,5]=>[[1,3,5],[2,6,7],[4]]
[4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4]=>[2,4,6,1,3,7,5]=>[[1,3,5,7],[2,4,6]]
[4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4]=>[6,3,2,4,7,5,1]=>[[1,4,5],[2,7],[3],[6]]
[4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4]=>[6,1,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]
[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[3,6,2,4,7,5,1]=>[[1,4,5],[2,6,7],[3]]
[4,6,3,1,5,7,2]=>[2,7,5,1,3,6,4]=>[3,1,6,2,4,7,5]=>[[1,2,4,5],[3,6,7]]
[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[6,3,1,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]
[4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4]=>[3,6,1,2,4,7,5]=>[[1,2,4,5],[3,6,7]]
[4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4]=>[6,2,3,4,7,5,1]=>[[1,3,4,5],[2,7],[6]]
[4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4]=>[6,1,2,3,4,7,5]=>[[1,2,3,4,5],[6,7]]
[4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4]=>[2,6,3,4,7,5,1]=>[[1,3,4,5],[2,7],[6]]
[4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4]=>[2,1,6,3,4,7,5]=>[[1,3,4,5],[2,6,7]]
[4,6,3,2,7,1,5]=>[5,1,7,2,3,6,4]=>[6,2,1,3,4,7,5]=>[[1,3,4,5],[2,7],[6]]
[4,6,3,2,7,5,1]=>[1,5,7,2,3,6,4]=>[2,6,1,3,4,7,5]=>[[1,3,4,5],[2,6,7]]
[4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4]=>[3,2,6,4,7,5,1]=>[[1,4,5],[2,6,7],[3]]
[4,6,3,5,1,7,2]=>[2,7,1,5,3,6,4]=>[3,1,2,6,4,7,5]=>[[1,2,4,5],[3,6,7]]
[4,6,3,5,2,1,7]=>[7,1,2,5,3,6,4]=>[2,3,6,4,7,5,1]=>[[1,3,4,5],[2,7],[6]]
[4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4]=>[2,1,3,6,4,7,5]=>[[1,3,4,5],[2,6,7]]
[4,6,3,5,7,1,2]=>[2,1,7,5,3,6,4]=>[3,2,1,6,4,7,5]=>[[1,4,5],[2,6,7],[3]]
[4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4]=>[2,3,1,6,4,7,5]=>[[1,3,4,5],[2,6,7]]
[4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4]=>[6,3,2,1,4,7,5]=>[[1,4,5],[2,7],[3],[6]]
[4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4]=>[3,6,2,1,4,7,5]=>[[1,4,5],[2,6,7],[3]]
[4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4]=>[6,2,3,1,4,7,5]=>[[1,3,4,5],[2,7],[6]]
[4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4]=>[2,6,3,1,4,7,5]=>[[1,3,4,5],[2,7],[6]]
[4,6,3,7,5,1,2]=>[2,1,5,7,3,6,4]=>[3,2,6,1,4,7,5]=>[[1,4,5],[2,6,7],[3]]
[4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>[[1,3,4,5],[2,6,7]]
[4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4]=>[4,3,2,6,7,5,1]=>[[1,5,7],[2,6],[3],[4]]
[4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4]=>[4,1,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]
[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[3,4,2,6,7,5,1]=>[[1,4,5,7],[2,6],[3]]
[4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4]=>[3,1,4,2,6,7,5]=>[[1,2,5,7],[3,4,6]]
[4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4]=>[4,3,1,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]
[4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4]=>[3,4,1,2,6,7,5]=>[[1,2,5,7],[3,4,6]]
[4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4]=>[4,2,3,6,7,5,1]=>[[1,3,5,7],[2,6],[4]]
[4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4]=>[4,1,2,3,6,7,5]=>[[1,2,3,5,7],[4,6]]
[4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4]=>[2,4,3,6,7,5,1]=>[[1,3,5,7],[2,6],[4]]
[4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4]=>[2,1,4,3,6,7,5]=>[[1,3,5,7],[2,4,6]]
[4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4]=>[4,2,1,3,6,7,5]=>[[1,3,5,7],[2,6],[4]]
[4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4]=>[2,4,1,3,6,7,5]=>[[1,3,5,7],[2,4,6]]
[4,6,5,3,1,2,7]=>[7,2,1,3,5,6,4]=>[3,2,4,6,7,5,1]=>[[1,4,5,7],[2,6],[3]]
[4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4]=>[3,1,2,4,6,7,5]=>[[1,2,4,5,7],[3,6]]
[4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>[2,3,4,6,7,5,1]=>[[1,3,4,5,7],[2],[6]]
[4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]=>[2,1,3,4,6,7,5]=>[[1,3,4,5,7],[2,6]]
[4,6,5,3,7,1,2]=>[2,1,7,3,5,6,4]=>[3,2,1,4,6,7,5]=>[[1,4,5,7],[2,6],[3]]
[4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>[2,3,1,4,6,7,5]=>[[1,3,4,5,7],[2,6]]
[4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4]=>[4,3,2,1,6,7,5]=>[[1,5,7],[2,6],[3],[4]]
[4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4]=>[3,4,2,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]
[4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4]=>[4,2,3,1,6,7,5]=>[[1,3,5,7],[2,6],[4]]
[4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4]=>[2,4,3,1,6,7,5]=>[[1,3,5,7],[2,6],[4]]
[4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4]=>[3,2,4,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]
[4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>[2,3,4,1,6,7,5]=>[[1,3,4,5,7],[2,6]]
[4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]=>[6,4,3,2,1,7,5]=>[[1,5],[2,7],[3],[4],[6]]
[4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4]=>[4,6,3,2,1,7,5]=>[[1,5,7],[2,6],[3],[4]]
[4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4]=>[6,3,4,2,1,7,5]=>[[1,4,5],[2,7],[3],[6]]
[4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4]=>[3,6,4,2,1,7,5]=>[[1,4,5],[2,7],[3],[6]]
[4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>[4,3,6,2,1,7,5]=>[[1,5,7],[2,6],[3],[4]]
[4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4]=>[3,4,6,2,1,7,5]=>[[1,4,5,7],[2,6],[3]]
[4,6,7,2,1,3,5]=>[5,3,1,2,7,6,4]=>[6,4,2,3,1,7,5]=>[[1,3,5],[2,7],[4],[6]]
[4,6,7,2,1,5,3]=>[3,5,1,2,7,6,4]=>[4,6,2,3,1,7,5]=>[[1,3,5],[2,6,7],[4]]
[4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4]=>[6,2,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6]]
[4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4]=>[2,6,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6]]
[4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4]=>[4,2,6,3,1,7,5]=>[[1,3,5],[2,6,7],[4]]
[4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4]=>[2,4,6,3,1,7,5]=>[[1,3,5,7],[2,6],[4]]
[4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4]=>[6,3,2,4,1,7,5]=>[[1,4,5],[2,7],[3],[6]]
[4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4]=>[3,6,2,4,1,7,5]=>[[1,4,5],[2,6,7],[3]]
[4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4]=>[6,2,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6]]
[4,6,7,3,2,5,1]=>[1,5,2,3,7,6,4]=>[2,6,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6]]
[4,6,7,3,5,1,2]=>[2,1,5,3,7,6,4]=>[3,2,6,4,1,7,5]=>[[1,4,5],[2,6,7],[3]]
[4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4]=>[2,3,6,4,1,7,5]=>[[1,3,4,5],[2,7],[6]]
[4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4]=>[4,3,2,6,1,7,5]=>[[1,5,7],[2,6],[3],[4]]
[4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]=>[3,4,2,6,1,7,5]=>[[1,4,5,7],[2,6],[3]]
[4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4]=>[4,2,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4]]
[4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]=>[2,4,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4]]
[4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4]=>[3,2,4,6,1,7,5]=>[[1,4,5,7],[2,6],[3]]
[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>[2,3,4,6,1,7,5]=>[[1,3,4,5,7],[2,6]]
[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>[7,6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6],[7]]
[4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4]=>[6,7,4,3,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]
[4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4]=>[7,4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7]]
[4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4]=>[4,7,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7]]
[4,7,1,2,6,3,5]=>[5,3,6,2,1,7,4]=>[6,4,7,3,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]
[4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4]=>[4,6,7,3,2,1,5]=>[[1,5,7],[2,6],[3],[4]]
[4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4]=>[7,6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7]]
[4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4]=>[6,7,3,4,2,1,5]=>[[1,4,5],[2,7],[3],[6]]
[4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4]=>[7,3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7]]
[4,7,1,3,5,6,2]=>[2,6,5,3,1,7,4]=>[3,7,6,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7]]
[4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4]=>[6,3,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6]]
[4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4]=>[3,6,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6]]
[4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4]=>[7,4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4],[7]]
[4,7,1,5,2,6,3]=>[3,6,2,5,1,7,4]=>[4,7,3,6,2,1,5]=>[[1,5],[2,6],[3,7],[4]]
[4,7,1,5,3,2,6]=>[6,2,3,5,1,7,4]=>[7,3,4,6,2,1,5]=>[[1,4,5],[2,6],[3],[7]]
[4,7,1,5,3,6,2]=>[2,6,3,5,1,7,4]=>[3,7,4,6,2,1,5]=>[[1,4,5],[2,6],[3],[7]]
[4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4]=>[4,3,7,6,2,1,5]=>[[1,5],[2,6],[3,7],[4]]
[4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4]=>[3,4,7,6,2,1,5]=>[[1,4,5],[2,6],[3],[7]]
[4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4]=>[6,4,3,7,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]
[4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4]=>[4,6,3,7,2,1,5]=>[[1,5,7],[2,6],[3],[4]]
[4,7,1,6,3,2,5]=>[5,2,3,6,1,7,4]=>[6,3,4,7,2,1,5]=>[[1,4,5],[2,7],[3],[6]]
[4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4]=>[3,6,4,7,2,1,5]=>[[1,4,5],[2,7],[3],[6]]
[4,7,1,6,5,2,3]=>[3,2,5,6,1,7,4]=>[4,3,6,7,2,1,5]=>[[1,5,7],[2,6],[3],[4]]
[4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]=>[3,4,6,7,2,1,5]=>[[1,4,5,7],[2,6],[3]]
[4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4]=>[7,6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]
[4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4]=>[6,7,4,2,3,1,5]=>[[1,3,5],[2,7],[4],[6]]
[4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4]=>[7,4,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7]]
[4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4]=>[4,7,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7]]
[4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4]=>[6,4,7,2,3,1,5]=>[[1,3,5],[2,7],[4],[6]]
[4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]=>[4,6,7,2,3,1,5]=>[[1,3,5],[2,6,7],[4]]
[4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4]=>[7,6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]
[4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4]=>[6,7,2,4,3,1,5]=>[[1,3,5],[2,7],[4],[6]]
[4,7,2,3,5,1,6]=>[6,1,5,3,2,7,4]=>[7,2,6,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]
[4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4]=>[2,7,6,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]
[4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4]=>[6,2,7,4,3,1,5]=>[[1,3,5],[2,7],[4],[6]]
[4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4]=>[2,6,7,4,3,1,5]=>[[1,3,5],[2,7],[4],[6]]
[4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4]=>[7,4,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]
[4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4]=>[4,7,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]
[4,7,2,5,3,1,6]=>[6,1,3,5,2,7,4]=>[7,2,4,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]
[4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4]=>[2,7,4,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]
[4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4]=>[4,2,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]
[4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4]=>[2,4,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]
[4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4]=>[6,4,2,7,3,1,5]=>[[1,3,5],[2,7],[4],[6]]
[4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]=>[4,6,2,7,3,1,5]=>[[1,3,5],[2,6,7],[4]]
[4,7,2,6,3,1,5]=>[5,1,3,6,2,7,4]=>[6,2,4,7,3,1,5]=>[[1,3,5],[2,7],[4],[6]]
[4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4]=>[2,6,4,7,3,1,5]=>[[1,3,5],[2,7],[4],[6]]
[4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4]=>[4,2,6,7,3,1,5]=>[[1,3,5],[2,6,7],[4]]
[4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4]=>[2,4,6,7,3,1,5]=>[[1,3,5,7],[2,6],[4]]
[4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4]=>[7,6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6],[7]]
[4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4]=>[6,7,3,2,4,1,5]=>[[1,4,5],[2,7],[3],[6]]
[4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4]=>[7,3,6,2,4,1,5]=>[[1,4,5],[2,6],[3],[7]]
[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[3,7,6,2,4,1,5]=>[[1,4,5],[2,6],[3],[7]]
[4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4]=>[6,3,7,2,4,1,5]=>[[1,4,5],[2,7],[3],[6]]
[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[3,6,7,2,4,1,5]=>[[1,4,5],[2,6,7],[3]]
[4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4]=>[7,6,2,3,4,1,5]=>[[1,3,4,5],[2],[6],[7]]
[4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]=>[6,7,2,3,4,1,5]=>[[1,3,4,5],[2,7],[6]]
[4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4]=>[7,2,6,3,4,1,5]=>[[1,3,4,5],[2],[6],[7]]
[4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4]=>[2,7,6,3,4,1,5]=>[[1,3,4,5],[2],[6],[7]]
[4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]=>[6,2,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6]]
[4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]=>[2,6,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6]]
[4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4]=>[7,3,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]
[4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4]=>[3,7,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]
[4,7,3,5,2,1,6]=>[6,1,2,5,3,7,4]=>[7,2,3,6,4,1,5]=>[[1,3,4,5],[2],[6],[7]]
[4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4]=>[2,7,3,6,4,1,5]=>[[1,3,4,5],[2],[6],[7]]
[4,7,3,5,6,1,2]=>[2,1,6,5,3,7,4]=>[3,2,7,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]
[4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4]=>[2,3,7,6,4,1,5]=>[[1,3,4,5],[2],[6],[7]]
[4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4]=>[6,3,2,7,4,1,5]=>[[1,4,5],[2,7],[3],[6]]
[4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]=>[3,6,2,7,4,1,5]=>[[1,4,5],[2,6,7],[3]]
[4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4]=>[6,2,3,7,4,1,5]=>[[1,3,4,5],[2,7],[6]]
[4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4]=>[2,6,3,7,4,1,5]=>[[1,3,4,5],[2,7],[6]]
[4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4]=>[3,2,6,7,4,1,5]=>[[1,4,5],[2,6,7],[3]]
[4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]=>[2,3,6,7,4,1,5]=>[[1,3,4,5],[2,7],[6]]
[4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4]=>[7,4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4],[7]]
[4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4]=>[4,7,3,2,6,1,5]=>[[1,5],[2,6],[3,7],[4]]
[4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4]=>[7,3,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7]]
[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[3,7,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7]]
[4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4]=>[4,3,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4]]
[4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4]=>[3,4,7,2,6,1,5]=>[[1,4,5],[2,6],[3,7]]
[4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4]=>[7,4,2,3,6,1,5]=>[[1,3,5],[2,6],[4],[7]]
[4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4]=>[4,7,2,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]
[4,7,5,2,3,1,6]=>[6,1,3,2,5,7,4]=>[7,2,4,3,6,1,5]=>[[1,3,5],[2,6],[4],[7]]
[4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4]=>[2,7,4,3,6,1,5]=>[[1,3,5],[2,6],[4],[7]]
[4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4]=>[4,2,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]
[4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4]=>[2,4,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]
[4,7,5,3,1,2,6]=>[6,2,1,3,5,7,4]=>[7,3,2,4,6,1,5]=>[[1,4,5],[2,6],[3],[7]]
[4,7,5,3,1,6,2]=>[2,6,1,3,5,7,4]=>[3,7,2,4,6,1,5]=>[[1,4,5],[2,6],[3,7]]
[4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4]=>[7,2,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7]]
[4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4]=>[2,7,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7]]
[4,7,5,3,6,1,2]=>[2,1,6,3,5,7,4]=>[3,2,7,4,6,1,5]=>[[1,4,5],[2,6],[3,7]]
[4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4]=>[2,3,7,4,6,1,5]=>[[1,3,4,5],[2,6],[7]]
[4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]=>[4,3,2,7,6,1,5]=>[[1,5],[2,6],[3,7],[4]]
[4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4]=>[3,4,2,7,6,1,5]=>[[1,4,5],[2,6],[3,7]]
[4,7,5,6,2,1,3]=>[3,1,2,6,5,7,4]=>[4,2,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7]]
[4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4]=>[2,4,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7]]
[4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4]=>[3,2,4,7,6,1,5]=>[[1,4,5],[2,6],[3,7]]
[4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]=>[2,3,4,7,6,1,5]=>[[1,3,4,5],[2,6],[7]]
[4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4]=>[6,4,3,2,7,1,5]=>[[1,5],[2,7],[3],[4],[6]]
[4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4]=>[4,6,3,2,7,1,5]=>[[1,5,7],[2,6],[3],[4]]
[4,7,6,1,3,2,5]=>[5,2,3,1,6,7,4]=>[6,3,4,2,7,1,5]=>[[1,4,5],[2,7],[3],[6]]
[4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4]=>[3,6,4,2,7,1,5]=>[[1,4,5],[2,7],[3],[6]]
[4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4]=>[4,3,6,2,7,1,5]=>[[1,5,7],[2,6],[3],[4]]
[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[3,4,6,2,7,1,5]=>[[1,4,5,7],[2,6],[3]]
[4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4]=>[6,4,2,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]
[4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4]=>[4,6,2,3,7,1,5]=>[[1,3,5],[2,6,7],[4]]
[4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4]=>[6,2,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]
[4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4]=>[2,6,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]
[4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4]=>[4,2,6,3,7,1,5]=>[[1,3,5],[2,6,7],[4]]
[4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4]=>[2,4,6,3,7,1,5]=>[[1,3,5,7],[2,6],[4]]
[4,7,6,3,1,2,5]=>[5,2,1,3,6,7,4]=>[6,3,2,4,7,1,5]=>[[1,4,5],[2,7],[3],[6]]
[4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4]=>[3,6,2,4,7,1,5]=>[[1,4,5],[2,6,7],[3]]
[4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]=>[6,2,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]
[4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]=>[2,6,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]
[4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4]=>[3,2,6,4,7,1,5]=>[[1,4,5],[2,6,7],[3]]
[4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]=>[2,3,6,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]
[4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4]=>[4,3,2,6,7,1,5]=>[[1,5,7],[2,6],[3],[4]]
[4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]=>[3,4,2,6,7,1,5]=>[[1,4,5,7],[2,6],[3]]
[4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]=>[4,2,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4]]
[4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]=>[2,4,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4]]
[4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]=>[3,2,4,6,7,1,5]=>[[1,4,5,7],[2,6],[3]]
[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>[2,3,4,6,7,1,5]=>[[1,3,4,5,7],[2,6]]
[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>[7,5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5],[7]]
[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>[7,1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]
[5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>[5,7,4,3,2,6,1]=>[[1,6],[2,7],[3],[4],[5]]
[5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]=>[5,1,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]
[5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]=>[7,5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]
[5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5]=>[5,7,1,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]
[5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5]=>[7,4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4],[7]]
[5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5]=>[7,1,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]
[5,1,2,4,6,3,7]=>[7,3,6,4,2,1,5]=>[4,7,5,3,2,6,1]=>[[1,5,6],[2],[3],[4],[7]]
[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[4,1,7,5,3,2,6]=>[[1,2,6],[3,5],[4],[7]]
[5,1,2,4,7,3,6]=>[6,3,7,4,2,1,5]=>[7,4,1,5,3,2,6]=>[[1,2,6],[3,5],[4],[7]]
[5,1,2,4,7,6,3]=>[3,6,7,4,2,1,5]=>[4,7,1,5,3,2,6]=>[[1,2,6],[3,5],[4],[7]]
[5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]=>[5,4,7,3,2,6,1]=>[[1,6],[2,7],[3],[4],[5]]
[5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]=>[5,1,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5]]
[5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5]=>[4,5,7,3,2,6,1]=>[[1,5,6],[2,7],[3],[4]]
[5,1,2,6,4,7,3]=>[3,7,4,6,2,1,5]=>[4,1,5,7,3,2,6]=>[[1,2,6],[3,5,7],[4]]
[5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]=>[5,4,1,7,3,2,6]=>[[1,2,6],[3,7],[4],[5]]
[5,1,2,6,7,4,3]=>[3,4,7,6,2,1,5]=>[4,5,1,7,3,2,6]=>[[1,2,6],[3,5,7],[4]]
[5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]=>[7,5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]
[5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5]=>[5,7,4,1,3,2,6]=>[[1,2,6],[3,7],[4],[5]]
[5,1,2,7,4,3,6]=>[6,3,4,7,2,1,5]=>[7,4,5,1,3,2,6]=>[[1,2,6],[3,5],[4],[7]]
[5,1,2,7,4,6,3]=>[3,6,4,7,2,1,5]=>[4,7,5,1,3,2,6]=>[[1,2,6],[3,5],[4],[7]]
[5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5]=>[5,4,7,1,3,2,6]=>[[1,2,6],[3,7],[4],[5]]
[5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5]=>[4,5,7,1,3,2,6]=>[[1,2,6],[3,5,7],[4]]
[5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5]=>[7,5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]
[5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5]=>[7,1,5,3,4,2,6]=>[[1,2,4,6],[3],[5],[7]]
[5,1,3,2,6,4,7]=>[7,4,6,2,3,1,5]=>[5,7,3,4,2,6,1]=>[[1,4,6],[2,7],[3],[5]]
[5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5]=>[5,1,7,3,4,2,6]=>[[1,2,4,6],[3,7],[5]]
[5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5]=>[7,5,1,3,4,2,6]=>[[1,2,4,6],[3],[5],[7]]
[5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5]=>[5,7,1,3,4,2,6]=>[[1,2,4,6],[3,7],[5]]
[5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5]=>[7,3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]
[5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5]=>[7,1,3,5,4,2,6]=>[[1,2,4,6],[3],[5],[7]]
[5,1,3,4,6,2,7]=>[7,2,6,4,3,1,5]=>[3,7,5,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]
[5,1,3,4,6,7,2]=>[2,7,6,4,3,1,5]=>[3,1,7,5,4,2,6]=>[[1,2,6],[3,4],[5],[7]]
[5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5]=>[7,3,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7]]
[5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5]=>[3,7,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7]]
[5,1,3,6,2,4,7]=>[7,4,2,6,3,1,5]=>[5,3,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5]]
[5,1,3,6,2,7,4]=>[4,7,2,6,3,1,5]=>[5,1,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5]]
[5,1,3,6,4,2,7]=>[7,2,4,6,3,1,5]=>[3,5,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5]]
[5,1,3,6,4,7,2]=>[2,7,4,6,3,1,5]=>[3,1,5,7,4,2,6]=>[[1,2,6],[3,4,7],[5]]
[5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5]=>[5,3,1,7,4,2,6]=>[[1,2,6],[3,4],[5,7]]
[5,1,3,6,7,4,2]=>[2,4,7,6,3,1,5]=>[3,5,1,7,4,2,6]=>[[1,2,6],[3,4,7],[5]]
[5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5]=>[7,5,3,1,4,2,6]=>[[1,2,6],[3,4],[5],[7]]
[5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5]=>[5,7,3,1,4,2,6]=>[[1,2,6],[3,4],[5,7]]
[5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5]=>[7,3,5,1,4,2,6]=>[[1,2,6],[3,4],[5],[7]]
[5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5]=>[3,7,5,1,4,2,6]=>[[1,2,6],[3,4],[5],[7]]
[5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5]=>[5,3,7,1,4,2,6]=>[[1,2,6],[3,4],[5,7]]
[5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5]=>[3,5,7,1,4,2,6]=>[[1,2,6],[3,4,7],[5]]
[5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5]=>[7,4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4],[7]]
[5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5]=>[7,1,4,3,5,2,6]=>[[1,2,5,6],[3],[4],[7]]
[5,1,4,2,6,3,7]=>[7,3,6,2,4,1,5]=>[4,7,3,5,2,6,1]=>[[1,5,6],[2,7],[3],[4]]
[5,1,4,2,6,7,3]=>[3,7,6,2,4,1,5]=>[4,1,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4]]
[5,1,4,2,7,3,6]=>[6,3,7,2,4,1,5]=>[7,4,1,3,5,2,6]=>[[1,2,5,6],[3],[4],[7]]
[5,1,4,2,7,6,3]=>[3,6,7,2,4,1,5]=>[4,7,1,3,5,2,6]=>[[1,2,5,6],[3,7],[4]]
[5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5]=>[7,3,4,5,2,6,1]=>[[1,4,5,6],[2],[3],[7]]
[5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5]=>[7,1,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7]]
[5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5]=>[3,7,4,5,2,6,1]=>[[1,4,5,6],[2],[3],[7]]
[5,1,4,3,6,7,2]=>[2,7,6,3,4,1,5]=>[3,1,7,4,5,2,6]=>[[1,2,5,6],[3,4],[7]]
[5,1,4,3,7,2,6]=>[6,2,7,3,4,1,5]=>[7,3,1,4,5,2,6]=>[[1,2,5,6],[3,4],[7]]
[5,1,4,3,7,6,2]=>[2,6,7,3,4,1,5]=>[3,7,1,4,5,2,6]=>[[1,2,5,6],[3,4],[7]]
[5,1,4,6,2,3,7]=>[7,3,2,6,4,1,5]=>[4,3,7,5,2,6,1]=>[[1,5,6],[2,7],[3],[4]]
[5,1,4,6,2,7,3]=>[3,7,2,6,4,1,5]=>[4,1,3,7,5,2,6]=>[[1,2,5,6],[3,7],[4]]
[5,1,4,6,3,2,7]=>[7,2,3,6,4,1,5]=>[3,4,7,5,2,6,1]=>[[1,4,5,6],[2],[3],[7]]
[5,1,4,6,3,7,2]=>[2,7,3,6,4,1,5]=>[3,1,4,7,5,2,6]=>[[1,2,5,6],[3,4],[7]]
[5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5]=>[4,3,1,7,5,2,6]=>[[1,2,6],[3,5],[4,7]]
[5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5]=>[3,4,1,7,5,2,6]=>[[1,2,5,6],[3,4],[7]]
[5,1,4,7,2,3,6]=>[6,3,2,7,4,1,5]=>[7,4,3,1,5,2,6]=>[[1,2,6],[3,5],[4],[7]]
[5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5]=>[4,7,3,1,5,2,6]=>[[1,2,6],[3,5],[4,7]]
[5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5]=>[7,3,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7]]
[5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5]=>[3,7,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7]]
[5,1,4,7,6,2,3]=>[3,2,6,7,4,1,5]=>[4,3,7,1,5,2,6]=>[[1,2,6],[3,5],[4,7]]
[5,1,4,7,6,3,2]=>[2,3,6,7,4,1,5]=>[3,4,7,1,5,2,6]=>[[1,2,5,6],[3,4],[7]]
[5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]=>[5,4,3,7,2,6,1]=>[[1,6],[2,7],[3],[4],[5]]
[5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]=>[5,1,4,3,7,2,6]=>[[1,2,6],[3,7],[4],[5]]
[5,1,6,2,4,3,7]=>[7,3,4,2,6,1,5]=>[4,5,3,7,2,6,1]=>[[1,5,6],[2,7],[3],[4]]
[5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5]=>[4,1,5,3,7,2,6]=>[[1,2,6],[3,5,7],[4]]
[5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5]=>[5,4,1,3,7,2,6]=>[[1,2,6],[3,7],[4],[5]]
[5,1,6,2,7,4,3]=>[3,4,7,2,6,1,5]=>[4,5,1,3,7,2,6]=>[[1,2,6],[3,5,7],[4]]
[5,1,6,3,2,4,7]=>[7,4,2,3,6,1,5]=>[5,3,4,7,2,6,1]=>[[1,4,6],[2,7],[3],[5]]
[5,1,6,3,2,7,4]=>[4,7,2,3,6,1,5]=>[5,1,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5]]
[5,1,6,3,4,2,7]=>[7,2,4,3,6,1,5]=>[3,5,4,7,2,6,1]=>[[1,4,6],[2,7],[3],[5]]
[5,1,6,3,4,7,2]=>[2,7,4,3,6,1,5]=>[3,1,5,4,7,2,6]=>[[1,2,6],[3,4,7],[5]]
[5,1,6,3,7,2,4]=>[4,2,7,3,6,1,5]=>[5,3,1,4,7,2,6]=>[[1,2,6],[3,4,7],[5]]
[5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5]=>[3,5,1,4,7,2,6]=>[[1,2,6],[3,4,7],[5]]
[5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5]=>[4,3,5,7,2,6,1]=>[[1,5,6],[2,7],[3],[4]]
[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[4,1,3,5,7,2,6]=>[[1,2,5,6],[3,7],[4]]
[5,1,6,4,3,2,7]=>[7,2,3,4,6,1,5]=>[3,4,5,7,2,6,1]=>[[1,4,5,6],[2,7],[3]]
[5,1,6,4,3,7,2]=>[2,7,3,4,6,1,5]=>[3,1,4,5,7,2,6]=>[[1,2,5,6],[3,4,7]]
[5,1,6,4,7,2,3]=>[3,2,7,4,6,1,5]=>[4,3,1,5,7,2,6]=>[[1,2,6],[3,5,7],[4]]
[5,1,6,4,7,3,2]=>[2,3,7,4,6,1,5]=>[3,4,1,5,7,2,6]=>[[1,2,5,6],[3,4,7]]
[5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5]=>[5,4,3,1,7,2,6]=>[[1,2,6],[3,7],[4],[5]]
[5,1,6,7,2,4,3]=>[3,4,2,7,6,1,5]=>[4,5,3,1,7,2,6]=>[[1,2,6],[3,5,7],[4]]
[5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5]=>[5,3,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5]]
[5,1,6,7,3,4,2]=>[2,4,3,7,6,1,5]=>[3,5,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5]]
[5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5]=>[4,3,5,1,7,2,6]=>[[1,2,6],[3,5,7],[4]]
[5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5]=>[3,4,5,1,7,2,6]=>[[1,2,5,6],[3,4,7]]
[5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]=>[7,5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5],[7]]
[5,1,7,2,3,6,4]=>[4,6,3,2,7,1,5]=>[5,7,4,3,1,2,6]=>[[1,2,6],[3,7],[4],[5]]
[5,1,7,2,4,3,6]=>[6,3,4,2,7,1,5]=>[7,4,5,3,1,2,6]=>[[1,2,6],[3,5],[4],[7]]
[5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5]=>[4,7,5,3,1,2,6]=>[[1,2,6],[3,5],[4],[7]]
[5,1,7,2,6,3,4]=>[4,3,6,2,7,1,5]=>[5,4,7,3,1,2,6]=>[[1,2,6],[3,7],[4],[5]]
[5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5]=>[4,5,7,3,1,2,6]=>[[1,2,6],[3,5,7],[4]]
[5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5]=>[7,5,3,4,1,2,6]=>[[1,2,6],[3,4],[5],[7]]
[5,1,7,3,2,6,4]=>[4,6,2,3,7,1,5]=>[5,7,3,4,1,2,6]=>[[1,2,6],[3,4],[5,7]]
[5,1,7,3,4,2,6]=>[6,2,4,3,7,1,5]=>[7,3,5,4,1,2,6]=>[[1,2,6],[3,4],[5],[7]]
[5,1,7,3,4,6,2]=>[2,6,4,3,7,1,5]=>[3,7,5,4,1,2,6]=>[[1,2,6],[3,4],[5],[7]]
[5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5]=>[5,3,7,4,1,2,6]=>[[1,2,6],[3,4],[5,7]]
[5,1,7,3,6,4,2]=>[2,4,6,3,7,1,5]=>[3,5,7,4,1,2,6]=>[[1,2,6],[3,4,7],[5]]
[5,1,7,4,2,3,6]=>[6,3,2,4,7,1,5]=>[7,4,3,5,1,2,6]=>[[1,2,6],[3,5],[4],[7]]
[5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5]=>[4,7,3,5,1,2,6]=>[[1,2,6],[3,5],[4,7]]
[5,1,7,4,3,2,6]=>[6,2,3,4,7,1,5]=>[7,3,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7]]
[5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5]=>[3,7,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7]]
[5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5]=>[4,3,7,5,1,2,6]=>[[1,2,6],[3,5],[4,7]]
[5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5]=>[3,4,7,5,1,2,6]=>[[1,2,5,6],[3,4],[7]]
[5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5]=>[5,4,3,7,1,2,6]=>[[1,2,6],[3,7],[4],[5]]
[5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5]=>[4,5,3,7,1,2,6]=>[[1,2,6],[3,5,7],[4]]
[5,1,7,6,3,2,4]=>[4,2,3,6,7,1,5]=>[5,3,4,7,1,2,6]=>[[1,2,6],[3,4,7],[5]]
[5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5]=>[3,5,4,7,1,2,6]=>[[1,2,6],[3,4,7],[5]]
[5,1,7,6,4,2,3]=>[3,2,4,6,7,1,5]=>[4,3,5,7,1,2,6]=>[[1,2,6],[3,5,7],[4]]
[5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]=>[3,4,5,7,1,2,6]=>[[1,2,5,6],[3,4,7]]
[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]=>[7,5,4,2,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]
[5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5]=>[7,1,5,4,2,3,6]=>[[1,2,3,6],[4],[5],[7]]
[5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5]=>[5,7,4,2,3,6,1]=>[[1,3,6],[2,7],[4],[5]]
[5,2,1,3,6,7,4]=>[4,7,6,3,1,2,5]=>[5,1,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5]]
[5,2,1,3,7,4,6]=>[6,4,7,3,1,2,5]=>[7,5,1,4,2,3,6]=>[[1,2,3,6],[4],[5],[7]]
[5,2,1,3,7,6,4]=>[4,6,7,3,1,2,5]=>[5,7,1,4,2,3,6]=>[[1,2,3,6],[4,7],[5]]
[5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5]=>[7,4,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]
[5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]=>[7,1,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]
[5,2,1,4,6,3,7]=>[7,3,6,4,1,2,5]=>[4,7,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]
[5,2,1,4,6,7,3]=>[3,7,6,4,1,2,5]=>[4,1,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]
[5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5]=>[7,4,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]
[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[4,7,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]
[5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5]=>[5,4,7,2,3,6,1]=>[[1,3,6],[2,7],[4],[5]]
[5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5]=>[5,1,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]
[5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5]=>[4,5,7,2,3,6,1]=>[[1,3,6],[2,5,7],[4]]
[5,2,1,6,4,7,3]=>[3,7,4,6,1,2,5]=>[4,1,5,7,2,3,6]=>[[1,2,3,6],[4,5,7]]
[5,2,1,6,7,3,4]=>[4,3,7,6,1,2,5]=>[5,4,1,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]
[5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5]=>[4,5,1,7,2,3,6]=>[[1,2,3,6],[4,5,7]]
[5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5]=>[7,5,4,1,2,3,6]=>[[1,2,3,6],[4],[5],[7]]
[5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5]=>[5,7,4,1,2,3,6]=>[[1,2,3,6],[4,7],[5]]
[5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5]=>[7,4,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7]]
[5,2,1,7,4,6,3]=>[3,6,4,7,1,2,5]=>[4,7,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7]]
[5,2,1,7,6,3,4]=>[4,3,6,7,1,2,5]=>[5,4,7,1,2,3,6]=>[[1,2,3,6],[4,7],[5]]
[5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5]=>[4,5,7,1,2,3,6]=>[[1,2,3,6],[4,5,7]]
[5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5]=>[7,5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]
[5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5]=>[7,1,5,2,4,3,6]=>[[1,2,3,6],[4],[5],[7]]
[5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5]=>[5,7,2,4,3,6,1]=>[[1,3,6],[2,7],[4],[5]]
[5,2,3,1,6,7,4]=>[4,7,6,1,3,2,5]=>[5,1,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5]]
[5,2,3,1,7,4,6]=>[6,4,7,1,3,2,5]=>[7,5,1,2,4,3,6]=>[[1,2,3,6],[4],[5],[7]]
[5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5]=>[5,7,1,2,4,3,6]=>[[1,2,3,6],[4,7],[5]]
[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[7,2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]
[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[7,1,2,5,4,3,6]=>[[1,2,3,6],[4],[5],[7]]
[5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5]=>[2,7,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]
[5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5]=>[2,1,7,5,4,3,6]=>[[1,3,6],[2,4],[5],[7]]
[5,2,3,4,7,1,6]=>[6,1,7,4,3,2,5]=>[7,2,1,5,4,3,6]=>[[1,3,6],[2,4],[5],[7]]
[5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5]=>[2,7,1,5,4,3,6]=>[[1,3,6],[2,4],[5],[7]]
[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[5,2,7,4,3,6,1]=>[[1,3,6],[2,7],[4],[5]]
[5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5]=>[5,1,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5]]
[5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5]=>[2,5,7,4,3,6,1]=>[[1,3,6],[2,7],[4],[5]]
[5,2,3,6,4,7,1]=>[1,7,4,6,3,2,5]=>[2,1,5,7,4,3,6]=>[[1,3,6],[2,4,7],[5]]
[5,2,3,6,7,1,4]=>[4,1,7,6,3,2,5]=>[5,2,1,7,4,3,6]=>[[1,3,6],[2,4],[5,7]]
[5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5]=>[2,5,1,7,4,3,6]=>[[1,3,6],[2,4,7],[5]]
[5,2,3,7,1,4,6]=>[6,4,1,7,3,2,5]=>[7,5,2,1,4,3,6]=>[[1,3,6],[2,4],[5],[7]]
[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[5,7,2,1,4,3,6]=>[[1,3,6],[2,4],[5,7]]
[5,2,3,7,4,1,6]=>[6,1,4,7,3,2,5]=>[7,2,5,1,4,3,6]=>[[1,3,6],[2,4],[5],[7]]
[5,2,3,7,4,6,1]=>[1,6,4,7,3,2,5]=>[2,7,5,1,4,3,6]=>[[1,3,6],[2,4],[5],[7]]
[5,2,3,7,6,1,4]=>[4,1,6,7,3,2,5]=>[5,2,7,1,4,3,6]=>[[1,3,6],[2,4],[5,7]]
[5,2,3,7,6,4,1]=>[1,4,6,7,3,2,5]=>[2,5,7,1,4,3,6]=>[[1,3,6],[2,4,7],[5]]
[5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5]=>[7,4,2,5,3,6,1]=>[[1,3,6],[2,5],[4],[7]]
[5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5]=>[7,1,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]
[5,2,4,1,6,3,7]=>[7,3,6,1,4,2,5]=>[4,7,2,5,3,6,1]=>[[1,3,6],[2,5],[4],[7]]
[5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5]=>[4,1,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]
[5,2,4,1,7,3,6]=>[6,3,7,1,4,2,5]=>[7,4,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]
[5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5]=>[4,7,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]
[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[7,2,4,5,3,6,1]=>[[1,3,5,6],[2],[4],[7]]
[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[7,1,2,4,5,3,6]=>[[1,2,3,5,6],[4],[7]]
[5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5]=>[2,7,4,5,3,6,1]=>[[1,3,5,6],[2],[4],[7]]
[5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5]=>[2,1,7,4,5,3,6]=>[[1,3,5,6],[2,4],[7]]
[5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5]=>[7,2,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7]]
[5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5]=>[2,7,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7]]
[5,2,4,6,1,3,7]=>[7,3,1,6,4,2,5]=>[4,2,7,5,3,6,1]=>[[1,3,6],[2,5],[4],[7]]
[5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5]=>[4,1,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7]]
[5,2,4,6,3,1,7]=>[7,1,3,6,4,2,5]=>[2,4,7,5,3,6,1]=>[[1,3,5,6],[2],[4],[7]]
[5,2,4,6,3,7,1]=>[1,7,3,6,4,2,5]=>[2,1,4,7,5,3,6]=>[[1,3,5,6],[2,4],[7]]
[5,2,4,6,7,1,3]=>[3,1,7,6,4,2,5]=>[4,2,1,7,5,3,6]=>[[1,3,6],[2,5],[4,7]]
[5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5]=>[2,4,1,7,5,3,6]=>[[1,3,5,6],[2,4],[7]]
[5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5]=>[7,4,2,1,5,3,6]=>[[1,3,6],[2,5],[4],[7]]
[5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5]=>[4,7,2,1,5,3,6]=>[[1,3,6],[2,5],[4,7]]
[5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5]=>[7,2,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7]]
[5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5]=>[2,7,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7]]
[5,2,4,7,6,1,3]=>[3,1,6,7,4,2,5]=>[4,2,7,1,5,3,6]=>[[1,3,6],[2,5],[4,7]]
[5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5]=>[2,4,7,1,5,3,6]=>[[1,3,5,6],[2,4],[7]]
[5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5]=>[5,4,2,7,3,6,1]=>[[1,3,6],[2,7],[4],[5]]
[5,2,6,1,3,7,4]=>[4,7,3,1,6,2,5]=>[5,1,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]
[5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5]=>[4,5,2,7,3,6,1]=>[[1,3,6],[2,5,7],[4]]
[5,2,6,1,4,7,3]=>[3,7,4,1,6,2,5]=>[4,1,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]
[5,2,6,1,7,3,4]=>[4,3,7,1,6,2,5]=>[5,4,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]
[5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5]=>[4,5,1,2,7,3,6]=>[[1,2,3,6],[4,5,7]]
[5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5]=>[5,2,4,7,3,6,1]=>[[1,3,6],[2,7],[4],[5]]
[5,2,6,3,1,7,4]=>[4,7,1,3,6,2,5]=>[5,1,2,4,7,3,6]=>[[1,2,3,6],[4,7],[5]]
[5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5]=>[2,5,4,7,3,6,1]=>[[1,3,6],[2,7],[4],[5]]
[5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5]=>[2,1,5,4,7,3,6]=>[[1,3,6],[2,4,7],[5]]
[5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5]=>[5,2,1,4,7,3,6]=>[[1,3,6],[2,4,7],[5]]
[5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5]=>[2,5,1,4,7,3,6]=>[[1,3,6],[2,4,7],[5]]
[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[4,2,5,7,3,6,1]=>[[1,3,6],[2,5,7],[4]]
[5,2,6,4,1,7,3]=>[3,7,1,4,6,2,5]=>[4,1,2,5,7,3,6]=>[[1,2,3,6],[4,5,7]]
[5,2,6,4,3,1,7]=>[7,1,3,4,6,2,5]=>[2,4,5,7,3,6,1]=>[[1,3,5,6],[2,7],[4]]
[5,2,6,4,3,7,1]=>[1,7,3,4,6,2,5]=>[2,1,4,5,7,3,6]=>[[1,3,5,6],[2,4,7]]
[5,2,6,4,7,1,3]=>[3,1,7,4,6,2,5]=>[4,2,1,5,7,3,6]=>[[1,3,6],[2,5,7],[4]]
[5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5]=>[2,4,1,5,7,3,6]=>[[1,3,5,6],[2,4,7]]
[5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]=>[5,4,2,1,7,3,6]=>[[1,3,6],[2,7],[4],[5]]
[5,2,6,7,1,4,3]=>[3,4,1,7,6,2,5]=>[4,5,2,1,7,3,6]=>[[1,3,6],[2,5,7],[4]]
[5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5]=>[5,2,4,1,7,3,6]=>[[1,3,6],[2,4,7],[5]]
[5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5]=>[2,5,4,1,7,3,6]=>[[1,3,6],[2,4,7],[5]]
[5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5]=>[4,2,5,1,7,3,6]=>[[1,3,6],[2,5,7],[4]]
[5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5]=>[2,4,5,1,7,3,6]=>[[1,3,5,6],[2,4,7]]
[5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5]=>[7,5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5],[7]]
[5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5]=>[5,7,4,2,1,3,6]=>[[1,3,6],[2,7],[4],[5]]
[5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5]=>[7,4,5,2,1,3,6]=>[[1,3,6],[2,5],[4],[7]]
[5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5]=>[4,7,5,2,1,3,6]=>[[1,3,6],[2,5],[4],[7]]
[5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5]=>[5,4,7,2,1,3,6]=>[[1,3,6],[2,7],[4],[5]]
[5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]=>[4,5,7,2,1,3,6]=>[[1,3,6],[2,5,7],[4]]
[5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5]=>[7,5,2,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]
[5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5]=>[5,7,2,4,1,3,6]=>[[1,3,6],[2,4],[5,7]]
[5,2,7,3,4,1,6]=>[6,1,4,3,7,2,5]=>[7,2,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]
[5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5]=>[2,7,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]
[5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5]=>[5,2,7,4,1,3,6]=>[[1,3,6],[2,4],[5,7]]
[5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5]=>[2,5,7,4,1,3,6]=>[[1,3,6],[2,4,7],[5]]
[5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5]=>[7,4,2,5,1,3,6]=>[[1,3,6],[2,5],[4],[7]]
[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[4,7,2,5,1,3,6]=>[[1,3,6],[2,5],[4,7]]
[5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5]=>[7,2,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7]]
[5,2,7,4,3,6,1]=>[1,6,3,4,7,2,5]=>[2,7,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7]]
[5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5]=>[4,2,7,5,1,3,6]=>[[1,3,6],[2,5],[4,7]]
[5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5]=>[2,4,7,5,1,3,6]=>[[1,3,5,6],[2,4],[7]]
[5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5]=>[5,4,2,7,1,3,6]=>[[1,3,6],[2,7],[4],[5]]
[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[4,5,2,7,1,3,6]=>[[1,3,6],[2,5,7],[4]]
[5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5]=>[5,2,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5]]
[5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5]=>[2,5,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5]]
[5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]=>[4,2,5,7,1,3,6]=>[[1,3,6],[2,5,7],[4]]
[5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]=>[2,4,5,7,1,3,6]=>[[1,3,5,6],[2,4,7]]
[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>[7,5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5],[7]]
[5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]=>[7,1,5,3,2,4,6]=>[[1,2,4,6],[3],[5],[7]]
[5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5]=>[5,7,3,2,4,6,1]=>[[1,4,6],[2,7],[3],[5]]
[5,3,1,2,6,7,4]=>[4,7,6,2,1,3,5]=>[5,1,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5]]
[5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5]=>[7,5,1,3,2,4,6]=>[[1,2,4,6],[3],[5],[7]]
[5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5]=>[5,7,1,3,2,4,6]=>[[1,2,4,6],[3,7],[5]]
[5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5]=>[7,3,5,2,4,6,1]=>[[1,4,6],[2,5],[3],[7]]
[5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5]=>[7,1,3,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]
[5,3,1,4,6,2,7]=>[7,2,6,4,1,3,5]=>[3,7,5,2,4,6,1]=>[[1,4,6],[2,5],[3],[7]]
[5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5]=>[3,1,7,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]
[5,3,1,4,7,2,6]=>[6,2,7,4,1,3,5]=>[7,3,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]
[5,3,1,4,7,6,2]=>[2,6,7,4,1,3,5]=>[3,7,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]
[5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5]=>[5,3,7,2,4,6,1]=>[[1,4,6],[2,7],[3],[5]]
[5,3,1,6,2,7,4]=>[4,7,2,6,1,3,5]=>[5,1,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]
[5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5]=>[3,5,7,2,4,6,1]=>[[1,4,6],[2,5,7],[3]]
[5,3,1,6,4,7,2]=>[2,7,4,6,1,3,5]=>[3,1,5,7,2,4,6]=>[[1,2,4,6],[3,5,7]]
[5,3,1,6,7,2,4]=>[4,2,7,6,1,3,5]=>[5,3,1,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]
[5,3,1,6,7,4,2]=>[2,4,7,6,1,3,5]=>[3,5,1,7,2,4,6]=>[[1,2,4,6],[3,5,7]]
[5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5]=>[7,5,3,1,2,4,6]=>[[1,2,4,6],[3],[5],[7]]
[5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5]=>[5,7,3,1,2,4,6]=>[[1,2,4,6],[3,7],[5]]
[5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5]=>[7,3,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]
[5,3,1,7,4,6,2]=>[2,6,4,7,1,3,5]=>[3,7,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]
[5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5]=>[5,3,7,1,2,4,6]=>[[1,2,4,6],[3,7],[5]]
[5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]=>[3,5,7,1,2,4,6]=>[[1,2,4,6],[3,5,7]]
[5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]=>[7,5,2,3,4,6,1]=>[[1,3,4,6],[2],[5],[7]]
[5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5]=>[7,1,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]
[5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5]=>[5,7,2,3,4,6,1]=>[[1,3,4,6],[2,7],[5]]
[5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5]=>[5,1,7,2,3,4,6]=>[[1,2,3,4,6],[5,7]]
[5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5]=>[7,5,1,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]
[5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]=>[5,7,1,2,3,4,6]=>[[1,2,3,4,6],[5,7]]
[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[7,2,5,3,4,6,1]=>[[1,3,4,6],[2],[5],[7]]
[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[7,1,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]
[5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]=>[2,7,5,3,4,6,1]=>[[1,3,4,6],[2],[5],[7]]
[5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]=>[2,1,7,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5]=>[7,2,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,2,4,7,6,1]=>[1,6,7,4,2,3,5]=>[2,7,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5]=>[5,2,7,3,4,6,1]=>[[1,3,4,6],[2,7],[5]]
[5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5]=>[5,1,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]
[5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5]=>[2,5,7,3,4,6,1]=>[[1,3,4,6],[2,7],[5]]
[5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5]=>[2,1,5,7,3,4,6]=>[[1,3,4,6],[2,5,7]]
[5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5]=>[5,2,1,7,3,4,6]=>[[1,3,4,6],[2,7],[5]]
[5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5]=>[2,5,1,7,3,4,6]=>[[1,3,4,6],[2,5,7]]
[5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5]=>[7,5,2,1,3,4,6]=>[[1,3,4,6],[2],[5],[7]]
[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[5,7,2,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]
[5,3,2,7,4,1,6]=>[6,1,4,7,2,3,5]=>[7,2,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,2,7,4,6,1]=>[1,6,4,7,2,3,5]=>[2,7,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5]=>[5,2,7,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]
[5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]=>[2,5,7,1,3,4,6]=>[[1,3,4,6],[2,5,7]]
[5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]=>[7,3,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]
[5,3,4,1,2,7,6]=>[6,7,2,1,4,3,5]=>[7,1,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]
[5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5]=>[3,7,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]
[5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5]=>[3,1,7,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]
[5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5]=>[7,3,1,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]
[5,3,4,1,7,6,2]=>[2,6,7,1,4,3,5]=>[3,7,1,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]
[5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]=>[7,2,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]
[5,3,4,2,1,7,6]=>[6,7,1,2,4,3,5]=>[7,1,2,3,5,4,6]=>[[1,2,3,4,6],[5],[7]]
[5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5]=>[2,7,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]
[5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5]=>[2,1,7,3,5,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5]=>[7,2,1,3,5,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5]=>[2,7,1,3,5,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]=>[3,2,7,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]
[5,3,4,6,1,7,2]=>[2,7,1,6,4,3,5]=>[3,1,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7]]
[5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5]=>[2,3,7,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]
[5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5]=>[2,1,3,7,5,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]=>[3,2,1,7,5,4,6]=>[[1,4,6],[2,5],[3,7]]
[5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]=>[2,3,1,7,5,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]=>[7,3,2,1,5,4,6]=>[[1,4,6],[2,5],[3],[7]]
[5,3,4,7,1,6,2]=>[2,6,1,7,4,3,5]=>[3,7,2,1,5,4,6]=>[[1,4,6],[2,5],[3,7]]
[5,3,4,7,2,1,6]=>[6,1,2,7,4,3,5]=>[7,2,3,1,5,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5]=>[2,7,3,1,5,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,4,7,6,1,2]=>[2,1,6,7,4,3,5]=>[3,2,7,1,5,4,6]=>[[1,4,6],[2,5],[3,7]]
[5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5]=>[2,3,7,1,5,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5]=>[5,3,2,7,4,6,1]=>[[1,4,6],[2,7],[3],[5]]
[5,3,6,1,2,7,4]=>[4,7,2,1,6,3,5]=>[5,1,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5]]
[5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5]=>[3,5,2,7,4,6,1]=>[[1,4,6],[2,5,7],[3]]
[5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5]=>[3,1,5,2,7,4,6]=>[[1,2,4,6],[3,5,7]]
[5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5]=>[5,3,1,2,7,4,6]=>[[1,2,4,6],[3,7],[5]]
[5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5]=>[3,5,1,2,7,4,6]=>[[1,2,4,6],[3,5,7]]
[5,3,6,2,1,4,7]=>[7,4,1,2,6,3,5]=>[5,2,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5]]
[5,3,6,2,1,7,4]=>[4,7,1,2,6,3,5]=>[5,1,2,3,7,4,6]=>[[1,2,3,4,6],[5,7]]
[5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5]=>[2,5,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5]]
[5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5]=>[2,1,5,3,7,4,6]=>[[1,3,4,6],[2,5,7]]
[5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5]=>[5,2,1,3,7,4,6]=>[[1,3,4,6],[2,7],[5]]
[5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5]=>[2,5,1,3,7,4,6]=>[[1,3,4,6],[2,5,7]]
[5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5]=>[3,2,5,7,4,6,1]=>[[1,4,6],[2,5,7],[3]]
[5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5]=>[3,1,2,5,7,4,6]=>[[1,2,4,6],[3,5,7]]
[5,3,6,4,2,1,7]=>[7,1,2,4,6,3,5]=>[2,3,5,7,4,6,1]=>[[1,3,4,6],[2,7],[5]]
[5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5]=>[2,1,3,5,7,4,6]=>[[1,3,4,6],[2,5,7]]
[5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5]=>[3,2,1,5,7,4,6]=>[[1,4,6],[2,5,7],[3]]
[5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5]=>[2,3,1,5,7,4,6]=>[[1,3,4,6],[2,5,7]]
[5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5]=>[5,3,2,1,7,4,6]=>[[1,4,6],[2,7],[3],[5]]
[5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5]=>[3,5,2,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]
[5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5]=>[5,2,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5]]
[5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5]=>[2,5,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5]]
[5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]=>[3,2,5,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]
[5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5]=>[2,3,5,1,7,4,6]=>[[1,3,4,6],[2,5,7]]
[5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]=>[7,5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5],[7]]
[5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5]=>[5,7,3,2,1,4,6]=>[[1,4,6],[2,7],[3],[5]]
[5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5]=>[7,3,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7]]
[5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5]=>[3,7,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7]]
[5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5]=>[5,3,7,2,1,4,6]=>[[1,4,6],[2,7],[3],[5]]
[5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]=>[3,5,7,2,1,4,6]=>[[1,4,6],[2,5,7],[3]]
[5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5]=>[7,5,2,3,1,4,6]=>[[1,3,4,6],[2],[5],[7]]
[5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5]=>[5,7,2,3,1,4,6]=>[[1,3,4,6],[2,7],[5]]
[5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5]=>[7,2,5,3,1,4,6]=>[[1,3,4,6],[2],[5],[7]]
[5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5]=>[2,7,5,3,1,4,6]=>[[1,3,4,6],[2],[5],[7]]
[5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]=>[5,2,7,3,1,4,6]=>[[1,3,4,6],[2,7],[5]]
[5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]=>[2,5,7,3,1,4,6]=>[[1,3,4,6],[2,7],[5]]
[5,3,7,4,1,2,6]=>[6,2,1,4,7,3,5]=>[7,3,2,5,1,4,6]=>[[1,4,6],[2,5],[3],[7]]
[5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5]=>[3,7,2,5,1,4,6]=>[[1,4,6],[2,5],[3,7]]
[5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5]=>[7,2,3,5,1,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5]=>[2,7,3,5,1,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,7,4,6,1,2]=>[2,1,6,4,7,3,5]=>[3,2,7,5,1,4,6]=>[[1,4,6],[2,5],[3,7]]
[5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>[[1,3,4,6],[2,5],[7]]
[5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5]=>[5,3,2,7,1,4,6]=>[[1,4,6],[2,7],[3],[5]]
[5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]=>[3,5,2,7,1,4,6]=>[[1,4,6],[2,5,7],[3]]
[5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5]=>[5,2,3,7,1,4,6]=>[[1,3,4,6],[2,7],[5]]
[5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]=>[2,5,3,7,1,4,6]=>[[1,3,4,6],[2,7],[5]]
[5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5]=>[3,2,5,7,1,4,6]=>[[1,4,6],[2,5,7],[3]]
[5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]=>[2,3,5,7,1,4,6]=>[[1,3,4,6],[2,5,7]]
[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>[7,4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4],[7]]
[5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]=>[7,1,4,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]
[5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5]=>[4,7,3,2,5,6,1]=>[[1,5,6],[2,7],[3],[4]]
[5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5]=>[4,1,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4]]
[5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5]=>[7,4,1,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]
[5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5]=>[4,7,1,3,2,5,6]=>[[1,2,5,6],[3,7],[4]]
[5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5]=>[7,3,4,2,5,6,1]=>[[1,4,5,6],[2],[3],[7]]
[5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5]=>[7,1,3,4,2,5,6]=>[[1,2,4,5,6],[3],[7]]
[5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5]=>[3,7,4,2,5,6,1]=>[[1,4,5,6],[2],[3],[7]]
[5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5]=>[3,1,7,4,2,5,6]=>[[1,2,5,6],[3,4],[7]]
[5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5]=>[7,3,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7]]
[5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5]=>[3,7,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7]]
[5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5]=>[4,3,7,2,5,6,1]=>[[1,5,6],[2,7],[3],[4]]
[5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5]=>[4,1,3,7,2,5,6]=>[[1,2,5,6],[3,7],[4]]
[5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5]=>[3,4,7,2,5,6,1]=>[[1,4,5,6],[2,7],[3]]
[5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5]=>[3,1,4,7,2,5,6]=>[[1,2,5,6],[3,4,7]]
[5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5]=>[4,3,1,7,2,5,6]=>[[1,2,5,6],[3,7],[4]]
[5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5]=>[3,4,1,7,2,5,6]=>[[1,2,5,6],[3,4,7]]
[5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5]=>[7,4,3,1,2,5,6]=>[[1,2,5,6],[3],[4],[7]]
[5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5]=>[4,7,3,1,2,5,6]=>[[1,2,5,6],[3,7],[4]]
[5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5]=>[7,3,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7]]
[5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5]=>[3,7,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7]]
[5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5]=>[4,3,7,1,2,5,6]=>[[1,2,5,6],[3,7],[4]]
[5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]=>[3,4,7,1,2,5,6]=>[[1,2,5,6],[3,4,7]]
[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>[7,4,2,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]
[5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]=>[7,1,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]
[5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5]=>[4,7,2,3,5,6,1]=>[[1,3,5,6],[2,7],[4]]
[5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5]=>[4,1,7,2,3,5,6]=>[[1,2,3,5,6],[4,7]]
[5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5]=>[7,4,1,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]
[5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5]=>[4,7,1,2,3,5,6]=>[[1,2,3,5,6],[4,7]]
[5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]=>[7,2,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]
[5,4,2,3,1,7,6]=>[6,7,1,3,2,4,5]=>[7,1,2,4,3,5,6]=>[[1,2,3,5,6],[4],[7]]
[5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]=>[2,7,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]
[5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]=>[2,1,7,4,3,5,6]=>[[1,3,5,6],[2,4],[7]]
[5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5]=>[7,2,1,4,3,5,6]=>[[1,3,5,6],[2,4],[7]]
[5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5]=>[2,7,1,4,3,5,6]=>[[1,3,5,6],[2,4],[7]]
[5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5]=>[4,2,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4]]
[5,4,2,6,1,7,3]=>[3,7,1,6,2,4,5]=>[4,1,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]
[5,4,2,6,3,1,7]=>[7,1,3,6,2,4,5]=>[2,4,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4]]
[5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5]=>[2,1,4,7,3,5,6]=>[[1,3,5,6],[2,4,7]]
[5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5]=>[4,2,1,7,3,5,6]=>[[1,3,5,6],[2,7],[4]]
[5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5]=>[2,4,1,7,3,5,6]=>[[1,3,5,6],[2,4,7]]
[5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5]=>[7,4,2,1,3,5,6]=>[[1,3,5,6],[2],[4],[7]]
[5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5]=>[4,7,2,1,3,5,6]=>[[1,3,5,6],[2,7],[4]]
[5,4,2,7,3,1,6]=>[6,1,3,7,2,4,5]=>[7,2,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7]]
[5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5]=>[2,7,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7]]
[5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5]=>[4,2,7,1,3,5,6]=>[[1,3,5,6],[2,7],[4]]
[5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]=>[2,4,7,1,3,5,6]=>[[1,3,5,6],[2,4,7]]
[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>[7,3,2,4,5,6,1]=>[[1,4,5,6],[2],[3],[7]]
[5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]=>[7,1,3,2,4,5,6]=>[[1,2,4,5,6],[3],[7]]
[5,4,3,1,6,2,7]=>[7,2,6,1,3,4,5]=>[3,7,2,4,5,6,1]=>[[1,4,5,6],[2,7],[3]]
[5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5]=>[3,1,7,2,4,5,6]=>[[1,2,4,5,6],[3,7]]
[5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5]=>[7,3,1,2,4,5,6]=>[[1,2,4,5,6],[3],[7]]
[5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]=>[3,7,1,2,4,5,6]=>[[1,2,4,5,6],[3,7]]
[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[7,2,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]
[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]
[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>[2,7,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]
[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>[2,1,7,3,4,5,6]=>[[1,3,4,5,6],[2,7]]
[5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]=>[7,2,1,3,4,5,6]=>[[1,3,4,5,6],[2],[7]]
[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>[2,7,1,3,4,5,6]=>[[1,3,4,5,6],[2,7]]
[5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]=>[3,2,7,4,5,6,1]=>[[1,4,5,6],[2,7],[3]]
[5,4,3,6,1,7,2]=>[2,7,1,6,3,4,5]=>[3,1,2,7,4,5,6]=>[[1,2,4,5,6],[3,7]]
[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>[2,3,7,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]
[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>[2,1,3,7,4,5,6]=>[[1,3,4,5,6],[2,7]]
[5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]=>[3,2,1,7,4,5,6]=>[[1,4,5,6],[2,7],[3]]
[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>[2,3,1,7,4,5,6]=>[[1,3,4,5,6],[2,7]]
[5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5]=>[7,3,2,1,4,5,6]=>[[1,4,5,6],[2],[3],[7]]
[5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]=>[3,7,2,1,4,5,6]=>[[1,4,5,6],[2,7],[3]]
[5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]=>[7,2,3,1,4,5,6]=>[[1,3,4,5,6],[2],[7]]
[5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]=>[2,7,3,1,4,5,6]=>[[1,3,4,5,6],[2],[7]]
[5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5]=>[3,2,7,1,4,5,6]=>[[1,4,5,6],[2,7],[3]]
[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>[2,3,7,1,4,5,6]=>[[1,3,4,5,6],[2,7]]
[5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]=>[4,3,2,7,5,6,1]=>[[1,5,6],[2,7],[3],[4]]
[5,4,6,1,2,7,3]=>[3,7,2,1,6,4,5]=>[4,1,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]
[5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5]=>[3,4,2,7,5,6,1]=>[[1,4,5,6],[2,7],[3]]
[5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5]=>[3,1,4,2,7,5,6]=>[[1,2,5,6],[3,4,7]]
[5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5]=>[4,3,1,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]
[5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5]=>[3,4,1,2,7,5,6]=>[[1,2,5,6],[3,4,7]]
[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[4,2,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4]]
[5,4,6,2,1,7,3]=>[3,7,1,2,6,4,5]=>[4,1,2,3,7,5,6]=>[[1,2,3,5,6],[4,7]]
[5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]=>[2,4,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4]]
[5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]=>[2,1,4,3,7,5,6]=>[[1,3,5,6],[2,4,7]]
[5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5]=>[4,2,1,3,7,5,6]=>[[1,3,5,6],[2,7],[4]]
[5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5]=>[2,4,1,3,7,5,6]=>[[1,3,5,6],[2,4,7]]
[5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]=>[3,2,4,7,5,6,1]=>[[1,4,5,6],[2,7],[3]]
[5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5]=>[3,1,2,4,7,5,6]=>[[1,2,4,5,6],[3,7]]
[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>[2,3,4,7,5,6,1]=>[[1,3,4,5,6],[2],[7]]
[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>[2,1,3,4,7,5,6]=>[[1,3,4,5,6],[2,7]]
[5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]=>[3,2,1,4,7,5,6]=>[[1,4,5,6],[2,7],[3]]
[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>[2,3,1,4,7,5,6]=>[[1,3,4,5,6],[2,7]]
[5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]=>[4,3,2,1,7,5,6]=>[[1,5,6],[2,7],[3],[4]]
[5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5]=>[3,4,2,1,7,5,6]=>[[1,4,5,6],[2,7],[3]]
[5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]=>[4,2,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4]]
[5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]=>[2,4,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4]]
[5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]=>[3,2,4,1,7,5,6]=>[[1,4,5,6],[2,7],[3]]
[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>[2,3,4,1,7,5,6]=>[[1,3,4,5,6],[2,7]]
[5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]=>[7,4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4],[7]]
[5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5]=>[4,7,3,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]
[5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5]=>[7,3,4,2,1,5,6]=>[[1,4,5,6],[2],[3],[7]]
[5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5]=>[3,7,4,2,1,5,6]=>[[1,4,5,6],[2],[3],[7]]
[5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5]=>[4,3,7,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]
[5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]=>[3,4,7,2,1,5,6]=>[[1,4,5,6],[2,7],[3]]
[5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5]=>[7,4,2,3,1,5,6]=>[[1,3,5,6],[2],[4],[7]]
[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[4,7,2,3,1,5,6]=>[[1,3,5,6],[2,7],[4]]
[5,4,7,2,3,1,6]=>[6,1,3,2,7,4,5]=>[7,2,4,3,1,5,6]=>[[1,3,5,6],[2],[4],[7]]
[5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5]=>[2,7,4,3,1,5,6]=>[[1,3,5,6],[2],[4],[7]]
[5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]=>[4,2,7,3,1,5,6]=>[[1,3,5,6],[2,7],[4]]
[5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]=>[2,4,7,3,1,5,6]=>[[1,3,5,6],[2,7],[4]]
[5,4,7,3,1,2,6]=>[6,2,1,3,7,4,5]=>[7,3,2,4,1,5,6]=>[[1,4,5,6],[2],[3],[7]]
[5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5]=>[3,7,2,4,1,5,6]=>[[1,4,5,6],[2,7],[3]]
[5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]=>[7,2,3,4,1,5,6]=>[[1,3,4,5,6],[2],[7]]
[5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]=>[2,7,3,4,1,5,6]=>[[1,3,4,5,6],[2],[7]]
[5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]=>[3,2,7,4,1,5,6]=>[[1,4,5,6],[2,7],[3]]
[5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]=>[2,3,7,4,1,5,6]=>[[1,3,4,5,6],[2],[7]]
[5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5]=>[4,3,2,7,1,5,6]=>[[1,5,6],[2,7],[3],[4]]
[5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]=>[3,4,2,7,1,5,6]=>[[1,4,5,6],[2,7],[3]]
[5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5]=>[4,2,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4]]
[5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]=>[2,4,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4]]
[5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5]=>[3,2,4,7,1,5,6]=>[[1,4,5,6],[2,7],[3]]
[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[[1,3,4,5,6],[2,7]]
[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5]]
[5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]=>[5,1,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]
[5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5]=>[4,5,3,2,7,6,1]=>[[1,5,6],[2,7],[3],[4]]
[5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5]=>[4,1,5,3,2,7,6]=>[[1,2,6],[3,5,7],[4]]
[5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]=>[5,4,1,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]
[5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5]=>[4,5,1,3,2,7,6]=>[[1,2,6],[3,5,7],[4]]
[5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5]=>[5,3,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5]]
[5,6,1,3,2,7,4]=>[4,7,2,3,1,6,5]=>[5,1,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]
[5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5]=>[3,5,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5]]
[5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5]=>[3,1,5,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]
[5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5]=>[5,3,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]
[5,6,1,3,7,4,2]=>[2,4,7,3,1,6,5]=>[3,5,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]
[5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5]=>[4,3,5,2,7,6,1]=>[[1,5,6],[2,7],[3],[4]]
[5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5]=>[4,1,3,5,2,7,6]=>[[1,2,5,6],[3,7],[4]]
[5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5]=>[3,4,5,2,7,6,1]=>[[1,4,5,6],[2,7],[3]]
[5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5]=>[3,1,4,5,2,7,6]=>[[1,2,5,6],[3,4,7]]
[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[4,3,1,5,2,7,6]=>[[1,2,6],[3,5,7],[4]]
[5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5]=>[3,4,1,5,2,7,6]=>[[1,2,5,6],[3,4,7]]
[5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]=>[5,4,3,1,2,7,6]=>[[1,2,6],[3,7],[4],[5]]
[5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5]=>[4,5,3,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]
[5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5]=>[5,3,4,1,2,7,6]=>[[1,2,6],[3,4,7],[5]]
[5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]=>[3,5,4,1,2,7,6]=>[[1,2,6],[3,4,7],[5]]
[5,6,1,7,4,2,3]=>[3,2,4,7,1,6,5]=>[4,3,5,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]
[5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5]=>[3,4,5,1,2,7,6]=>[[1,2,5,6],[3,4,7]]
[5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]=>[5,4,2,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]
[5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5]=>[5,1,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5]]
[5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5]=>[4,5,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4]]
[5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5]=>[4,1,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]
[5,6,2,1,7,3,4]=>[4,3,7,1,2,6,5]=>[5,4,1,2,3,7,6]=>[[1,2,3,6],[4,7],[5]]
[5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5]=>[4,5,1,2,3,7,6]=>[[1,2,3,6],[4,5,7]]
[5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]=>[5,2,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]
[5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5]=>[5,1,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]
[5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]
[5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]=>[2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]
[5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5]=>[5,2,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]
[5,6,2,3,7,4,1]=>[1,4,7,3,2,6,5]=>[2,5,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]
[5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5]=>[4,2,5,3,7,6,1]=>[[1,3,6],[2,5,7],[4]]
[5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5]=>[4,1,2,5,3,7,6]=>[[1,2,3,6],[4,5,7]]
[5,6,2,4,3,1,7]=>[7,1,3,4,2,6,5]=>[2,4,5,3,7,6,1]=>[[1,3,5,6],[2,7],[4]]
[5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5]=>[2,1,4,5,3,7,6]=>[[1,3,5,6],[2,4,7]]
[5,6,2,4,7,1,3]=>[3,1,7,4,2,6,5]=>[4,2,1,5,3,7,6]=>[[1,3,6],[2,5,7],[4]]
[5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5]=>[2,4,1,5,3,7,6]=>[[1,3,5,6],[2,4,7]]
[5,6,2,7,1,3,4]=>[4,3,1,7,2,6,5]=>[5,4,2,1,3,7,6]=>[[1,3,6],[2,7],[4],[5]]
[5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5]=>[4,5,2,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]
[5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5]=>[5,2,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5]]
[5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]=>[2,5,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5]]
[5,6,2,7,4,1,3]=>[3,1,4,7,2,6,5]=>[4,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]
[5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5]=>[2,4,5,1,3,7,6]=>[[1,3,5,6],[2,4,7]]
[5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]=>[5,3,2,4,7,6,1]=>[[1,4,6],[2,7],[3],[5]]
[5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5]=>[5,1,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]
[5,6,3,1,4,2,7]=>[7,2,4,1,3,6,5]=>[3,5,2,4,7,6,1]=>[[1,4,6],[2,5,7],[3]]
[5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5]=>[3,1,5,2,4,7,6]=>[[1,2,4,6],[3,5,7]]
[5,6,3,1,7,2,4]=>[4,2,7,1,3,6,5]=>[5,3,1,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]
[5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5]=>[3,5,1,2,4,7,6]=>[[1,2,4,6],[3,5,7]]
[5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]=>[5,2,3,4,7,6,1]=>[[1,3,4,6],[2,7],[5]]
[5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5]=>[5,1,2,3,4,7,6]=>[[1,2,3,4,6],[5,7]]
[5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]=>[2,5,3,4,7,6,1]=>[[1,3,4,6],[2,7],[5]]
[5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]=>[2,1,5,3,4,7,6]=>[[1,3,4,6],[2,5,7]]
[5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5]=>[5,2,1,3,4,7,6]=>[[1,3,4,6],[2,7],[5]]
[5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5]=>[2,5,1,3,4,7,6]=>[[1,3,4,6],[2,5,7]]
[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3]]
[5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5]=>[3,1,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]
[5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]=>[2,3,5,4,7,6,1]=>[[1,3,4,6],[2,7],[5]]
[5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]=>[2,1,3,5,4,7,6]=>[[1,3,4,6],[2,5,7]]
[5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]=>[3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]
[5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]=>[2,3,1,5,4,7,6]=>[[1,3,4,6],[2,5,7]]
[5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5]=>[5,3,2,1,4,7,6]=>[[1,4,6],[2,7],[3],[5]]
[5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5]=>[3,5,2,1,4,7,6]=>[[1,4,6],[2,5,7],[3]]
[5,6,3,7,2,1,4]=>[4,1,2,7,3,6,5]=>[5,2,3,1,4,7,6]=>[[1,3,4,6],[2,7],[5]]
[5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5]=>[2,5,3,1,4,7,6]=>[[1,3,4,6],[2,7],[5]]
[5,6,3,7,4,1,2]=>[2,1,4,7,3,6,5]=>[3,2,5,1,4,7,6]=>[[1,4,6],[2,5,7],[3]]
[5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5]=>[2,3,5,1,4,7,6]=>[[1,3,4,6],[2,5,7]]
[5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]=>[4,3,2,5,7,6,1]=>[[1,5,6],[2,7],[3],[4]]
[5,6,4,1,2,7,3]=>[3,7,2,1,4,6,5]=>[4,1,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]
[5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5]=>[3,4,2,5,7,6,1]=>[[1,4,5,6],[2,7],[3]]
[5,6,4,1,3,7,2]=>[2,7,3,1,4,6,5]=>[3,1,4,2,5,7,6]=>[[1,2,5,6],[3,4,7]]
[5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5]=>[4,3,1,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]
[5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5]=>[3,4,1,2,5,7,6]=>[[1,2,5,6],[3,4,7]]
[5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]=>[4,2,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4]]
[5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5]=>[4,1,2,3,5,7,6]=>[[1,2,3,5,6],[4,7]]
[5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]=>[2,4,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4]]
[5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]=>[2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7]]
[5,6,4,2,7,1,3]=>[3,1,7,2,4,6,5]=>[4,2,1,3,5,7,6]=>[[1,3,5,6],[2,7],[4]]
[5,6,4,2,7,3,1]=>[1,3,7,2,4,6,5]=>[2,4,1,3,5,7,6]=>[[1,3,5,6],[2,4,7]]
[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[3,2,4,5,7,6,1]=>[[1,4,5,6],[2,7],[3]]
[5,6,4,3,1,7,2]=>[2,7,1,3,4,6,5]=>[3,1,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]
[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>[2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7]]
[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>[2,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7]]
[5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]=>[3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3]]
[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>[2,3,1,4,5,7,6]=>[[1,3,4,5,6],[2,7]]
[5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]=>[4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]
[5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5]=>[3,4,2,1,5,7,6]=>[[1,4,5,6],[2,7],[3]]
[5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]=>[4,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]
[5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]=>[2,4,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]
[5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]=>[3,2,4,1,5,7,6]=>[[1,4,5,6],[2,7],[3]]
[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>[2,3,4,1,5,7,6]=>[[1,3,4,5,6],[2,7]]
[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>[5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]
[5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5]=>[4,5,3,2,1,7,6]=>[[1,5,6],[2,7],[3],[4]]
[5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5]=>[5,3,4,2,1,7,6]=>[[1,4,6],[2,7],[3],[5]]
[5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]=>[3,5,4,2,1,7,6]=>[[1,4,6],[2,7],[3],[5]]
[5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5]=>[4,3,5,2,1,7,6]=>[[1,5,6],[2,7],[3],[4]]
[5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]=>[3,4,5,2,1,7,6]=>[[1,4,5,6],[2,7],[3]]
[5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]=>[5,4,2,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]
[5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5]=>[4,5,2,3,1,7,6]=>[[1,3,6],[2,5,7],[4]]
[5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]=>[5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]
[5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]=>[2,5,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]
[5,6,7,2,4,1,3]=>[3,1,4,2,7,6,5]=>[4,2,5,3,1,7,6]=>[[1,3,6],[2,5,7],[4]]
[5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]=>[2,4,5,3,1,7,6]=>[[1,3,5,6],[2,7],[4]]
[5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]=>[5,3,2,4,1,7,6]=>[[1,4,6],[2,7],[3],[5]]
[5,6,7,3,1,4,2]=>[2,4,1,3,7,6,5]=>[3,5,2,4,1,7,6]=>[[1,4,6],[2,5,7],[3]]
[5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]=>[5,2,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]
[5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]=>[2,5,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]
[5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]=>[3,2,5,4,1,7,6]=>[[1,4,6],[2,5,7],[3]]
[5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]
[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[4,3,2,5,1,7,6]=>[[1,5,6],[2,7],[3],[4]]
[5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]=>[3,4,2,5,1,7,6]=>[[1,4,5,6],[2,7],[3]]
[5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]=>[4,2,3,5,1,7,6]=>[[1,3,5,6],[2,7],[4]]
[5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>[[1,3,5,6],[2,7],[4]]
[5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]=>[3,2,4,5,1,7,6]=>[[1,4,5,6],[2,7],[3]]
[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[[1,3,4,5,6],[2,7]]
[5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>[7,5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5],[7]]
[5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5]=>[5,7,4,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5]]
[5,7,1,2,4,3,6]=>[6,3,4,2,1,7,5]=>[7,4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4],[7]]
[5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5]=>[4,7,5,3,2,1,6]=>[[1,5,6],[2],[3],[4],[7]]
[5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5]=>[5,4,7,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5]]
[5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5]=>[4,5,7,3,2,1,6]=>[[1,5,6],[2,7],[3],[4]]
[5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5]=>[7,5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7]]
[5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5]=>[5,7,3,4,2,1,6]=>[[1,4,6],[2,7],[3],[5]]
[5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5]=>[7,3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7]]
[5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5]=>[3,7,5,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7]]
[5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5]=>[5,3,7,4,2,1,6]=>[[1,4,6],[2,7],[3],[5]]
[5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5]=>[3,5,7,4,2,1,6]=>[[1,4,6],[2,7],[3],[5]]
[5,7,1,4,2,3,6]=>[6,3,2,4,1,7,5]=>[7,4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4],[7]]
[5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5]=>[4,7,3,5,2,1,6]=>[[1,5,6],[2,7],[3],[4]]
[5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5]=>[7,3,4,5,2,1,6]=>[[1,4,5,6],[2],[3],[7]]
[5,7,1,4,3,6,2]=>[2,6,3,4,1,7,5]=>[3,7,4,5,2,1,6]=>[[1,4,5,6],[2],[3],[7]]
[5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5]=>[4,3,7,5,2,1,6]=>[[1,5,6],[2,7],[3],[4]]
[5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5]=>[3,4,7,5,2,1,6]=>[[1,4,5,6],[2],[3],[7]]
[5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5]=>[5,4,3,7,2,1,6]=>[[1,6],[2,7],[3],[4],[5]]
[5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5]=>[4,5,3,7,2,1,6]=>[[1,5,6],[2,7],[3],[4]]
[5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5]=>[5,3,4,7,2,1,6]=>[[1,4,6],[2,7],[3],[5]]
[5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5]=>[3,5,4,7,2,1,6]=>[[1,4,6],[2,7],[3],[5]]
[5,7,1,6,4,2,3]=>[3,2,4,6,1,7,5]=>[4,3,5,7,2,1,6]=>[[1,5,6],[2,7],[3],[4]]
[5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]=>[3,4,5,7,2,1,6]=>[[1,4,5,6],[2,7],[3]]
[5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5]=>[7,5,4,2,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]
[5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5]=>[5,7,4,2,3,1,6]=>[[1,3,6],[2,7],[4],[5]]
[5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5]=>[7,4,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7]]
[5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5]=>[4,7,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7]]
[5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5]=>[5,4,7,2,3,1,6]=>[[1,3,6],[2,7],[4],[5]]
[5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]=>[4,5,7,2,3,1,6]=>[[1,3,6],[2,5,7],[4]]
[5,7,2,3,1,4,6]=>[6,4,1,3,2,7,5]=>[7,5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]
[5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5]=>[5,7,2,4,3,1,6]=>[[1,3,6],[2,7],[4],[5]]
[5,7,2,3,4,1,6]=>[6,1,4,3,2,7,5]=>[7,2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]
[5,7,2,3,4,6,1]=>[1,6,4,3,2,7,5]=>[2,7,5,4,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]
[5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5]=>[5,2,7,4,3,1,6]=>[[1,3,6],[2,7],[4],[5]]
[5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5]=>[2,5,7,4,3,1,6]=>[[1,3,6],[2,7],[4],[5]]
[5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5]=>[7,4,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7]]
[5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5]=>[4,7,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7]]
[5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5]=>[7,2,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7]]
[5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5]=>[2,7,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7]]
[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[4,2,7,5,3,1,6]=>[[1,3,6],[2,5],[4],[7]]
[5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5]=>[2,4,7,5,3,1,6]=>[[1,3,5,6],[2],[4],[7]]
[5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5]=>[5,4,2,7,3,1,6]=>[[1,3,6],[2,7],[4],[5]]
[5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]=>[4,5,2,7,3,1,6]=>[[1,3,6],[2,5,7],[4]]
[5,7,2,6,3,1,4]=>[4,1,3,6,2,7,5]=>[5,2,4,7,3,1,6]=>[[1,3,6],[2,7],[4],[5]]
[5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5]=>[2,5,4,7,3,1,6]=>[[1,3,6],[2,7],[4],[5]]
[5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5]=>[4,2,5,7,3,1,6]=>[[1,3,6],[2,5,7],[4]]
[5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5]=>[2,4,5,7,3,1,6]=>[[1,3,5,6],[2,7],[4]]
[5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5]=>[7,5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5],[7]]
[5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5]=>[5,7,3,2,4,1,6]=>[[1,4,6],[2,7],[3],[5]]
[5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5]=>[7,3,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7]]
[5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5]=>[3,7,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7]]
[5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5]=>[5,3,7,2,4,1,6]=>[[1,4,6],[2,7],[3],[5]]
[5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]=>[3,5,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3]]
[5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5]=>[7,5,2,3,4,1,6]=>[[1,3,4,6],[2],[5],[7]]
[5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]=>[5,7,2,3,4,1,6]=>[[1,3,4,6],[2,7],[5]]
[5,7,3,2,4,1,6]=>[6,1,4,2,3,7,5]=>[7,2,5,3,4,1,6]=>[[1,3,4,6],[2],[5],[7]]
[5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5]=>[2,7,5,3,4,1,6]=>[[1,3,4,6],[2],[5],[7]]
[5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5]=>[5,2,7,3,4,1,6]=>[[1,3,4,6],[2,7],[5]]
[5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]=>[2,5,7,3,4,1,6]=>[[1,3,4,6],[2,7],[5]]
[5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5]=>[7,3,2,5,4,1,6]=>[[1,4,6],[2,5],[3],[7]]
[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[3,7,2,5,4,1,6]=>[[1,4,6],[2,5],[3],[7]]
[5,7,3,4,2,1,6]=>[6,1,2,4,3,7,5]=>[7,2,3,5,4,1,6]=>[[1,3,4,6],[2],[5],[7]]
[5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5]=>[2,7,3,5,4,1,6]=>[[1,3,4,6],[2],[5],[7]]
[5,7,3,4,6,1,2]=>[2,1,6,4,3,7,5]=>[3,2,7,5,4,1,6]=>[[1,4,6],[2,5],[3],[7]]
[5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5]=>[2,3,7,5,4,1,6]=>[[1,3,4,6],[2],[5],[7]]
[5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5]=>[5,3,2,7,4,1,6]=>[[1,4,6],[2,7],[3],[5]]
[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[3,5,2,7,4,1,6]=>[[1,4,6],[2,5,7],[3]]
[5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5]=>[5,2,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5]]
[5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5]=>[2,5,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5]]
[5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5]=>[3,2,5,7,4,1,6]=>[[1,4,6],[2,5,7],[3]]
[5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5]=>[2,3,5,7,4,1,6]=>[[1,3,4,6],[2,7],[5]]
[5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5]=>[7,4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4],[7]]
[5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5]=>[4,7,3,2,5,1,6]=>[[1,5,6],[2,7],[3],[4]]
[5,7,4,1,3,2,6]=>[6,2,3,1,4,7,5]=>[7,3,4,2,5,1,6]=>[[1,4,5,6],[2],[3],[7]]
[5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5]=>[3,7,4,2,5,1,6]=>[[1,4,5,6],[2],[3],[7]]
[5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5]=>[4,3,7,2,5,1,6]=>[[1,5,6],[2,7],[3],[4]]
[5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]=>[3,4,7,2,5,1,6]=>[[1,4,5,6],[2,7],[3]]
[5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5]=>[7,4,2,3,5,1,6]=>[[1,3,5,6],[2],[4],[7]]
[5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5]=>[4,7,2,3,5,1,6]=>[[1,3,5,6],[2,7],[4]]
[5,7,4,2,3,1,6]=>[6,1,3,2,4,7,5]=>[7,2,4,3,5,1,6]=>[[1,3,5,6],[2],[4],[7]]
[5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5]=>[2,7,4,3,5,1,6]=>[[1,3,5,6],[2],[4],[7]]
[5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5]=>[4,2,7,3,5,1,6]=>[[1,3,5,6],[2,7],[4]]
[5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]=>[2,4,7,3,5,1,6]=>[[1,3,5,6],[2,7],[4]]
[5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5]=>[7,3,2,4,5,1,6]=>[[1,4,5,6],[2],[3],[7]]
[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[3,7,2,4,5,1,6]=>[[1,4,5,6],[2,7],[3]]
[5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>[7,2,3,4,5,1,6]=>[[1,3,4,5,6],[2],[7]]
[5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]=>[2,7,3,4,5,1,6]=>[[1,3,4,5,6],[2],[7]]
[5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5]=>[3,2,7,4,5,1,6]=>[[1,4,5,6],[2,7],[3]]
[5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]=>[2,3,7,4,5,1,6]=>[[1,3,4,5,6],[2],[7]]
[5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5]=>[4,3,2,7,5,1,6]=>[[1,5,6],[2,7],[3],[4]]
[5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5]=>[3,4,2,7,5,1,6]=>[[1,4,5,6],[2,7],[3]]
[5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5]=>[4,2,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4]]
[5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5]=>[2,4,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4]]
[5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5]=>[3,2,4,7,5,1,6]=>[[1,4,5,6],[2,7],[3]]
[5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]=>[2,3,4,7,5,1,6]=>[[1,3,4,5,6],[2],[7]]
[5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5]=>[5,4,3,2,7,1,6]=>[[1,6],[2,7],[3],[4],[5]]
[5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5]=>[4,5,3,2,7,1,6]=>[[1,5,6],[2,7],[3],[4]]
[5,7,6,1,3,2,4]=>[4,2,3,1,6,7,5]=>[5,3,4,2,7,1,6]=>[[1,4,6],[2,7],[3],[5]]
[5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5]=>[3,5,4,2,7,1,6]=>[[1,4,6],[2,7],[3],[5]]
[5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5]=>[4,3,5,2,7,1,6]=>[[1,5,6],[2,7],[3],[4]]
[5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]=>[3,4,5,2,7,1,6]=>[[1,4,5,6],[2,7],[3]]
[5,7,6,2,1,3,4]=>[4,3,1,2,6,7,5]=>[5,4,2,3,7,1,6]=>[[1,3,6],[2,7],[4],[5]]
[5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5]=>[4,5,2,3,7,1,6]=>[[1,3,6],[2,5,7],[4]]
[5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5]=>[5,2,4,3,7,1,6]=>[[1,3,6],[2,7],[4],[5]]
[5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5]=>[2,5,4,3,7,1,6]=>[[1,3,6],[2,7],[4],[5]]
[5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5]=>[4,2,5,3,7,1,6]=>[[1,3,6],[2,5,7],[4]]
[5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]=>[2,4,5,3,7,1,6]=>[[1,3,5,6],[2,7],[4]]
[5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5]=>[5,3,2,4,7,1,6]=>[[1,4,6],[2,7],[3],[5]]
[5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5]=>[3,5,2,4,7,1,6]=>[[1,4,6],[2,5,7],[3]]
[5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]=>[5,2,3,4,7,1,6]=>[[1,3,4,6],[2,7],[5]]
[5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5]=>[2,5,3,4,7,1,6]=>[[1,3,4,6],[2,7],[5]]
[5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]=>[3,2,5,4,7,1,6]=>[[1,4,6],[2,5,7],[3]]
[5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]=>[2,3,5,4,7,1,6]=>[[1,3,4,6],[2,7],[5]]
[5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5]=>[4,3,2,5,7,1,6]=>[[1,5,6],[2,7],[3],[4]]
[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[3,4,2,5,7,1,6]=>[[1,4,5,6],[2,7],[3]]
[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[4,2,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4]]
[5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]=>[2,4,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4]]
[5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5]=>[3,2,4,5,7,1,6]=>[[1,4,5,6],[2,7],[3]]
[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>[2,3,4,5,7,1,6]=>[[1,3,4,5,6],[2,7]]
[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1]=>[[1,7],[2],[3],[4],[5],[6]]
[6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>[6,1,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]
[6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6]=>[5,6,4,3,2,7,1]=>[[1,6,7],[2],[3],[4],[5]]
[6,1,2,3,5,7,4]=>[4,7,5,3,2,1,6]=>[5,1,6,4,3,2,7]=>[[1,2,7],[3,6],[4],[5]]
[6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]=>[6,5,1,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]
[6,1,2,3,7,5,4]=>[4,5,7,3,2,1,6]=>[5,6,1,4,3,2,7]=>[[1,2,7],[3,6],[4],[5]]
[6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6]=>[6,4,5,3,2,7,1]=>[[1,5,7],[2],[3],[4],[6]]
[6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6]=>[6,1,4,5,3,2,7]=>[[1,2,5,7],[3],[4],[6]]
[6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6]=>[4,6,5,3,2,7,1]=>[[1,5,7],[2],[3],[4],[6]]
[6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6]=>[4,1,6,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]
[6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6]=>[6,4,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]
[6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6]=>[4,6,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]
[6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6]=>[5,4,6,3,2,7,1]=>[[1,6,7],[2],[3],[4],[5]]
[6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6]=>[5,1,4,6,3,2,7]=>[[1,2,6,7],[3],[4],[5]]
[6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6]=>[4,5,6,3,2,7,1]=>[[1,5,6,7],[2],[3],[4]]
[6,1,2,5,4,7,3]=>[3,7,4,5,2,1,6]=>[4,1,5,6,3,2,7]=>[[1,2,6,7],[3,5],[4]]
[6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6]=>[5,4,1,6,3,2,7]=>[[1,2,7],[3,6],[4],[5]]
[6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6]=>[4,5,1,6,3,2,7]=>[[1,2,6,7],[3,5],[4]]
[6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]=>[6,5,4,1,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]
[6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6]=>[5,6,4,1,3,2,7]=>[[1,2,7],[3,6],[4],[5]]
[6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6]=>[6,4,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]
[6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6]=>[4,6,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]
[6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6]=>[5,4,6,1,3,2,7]=>[[1,2,7],[3,6],[4],[5]]
[6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6]=>[4,5,6,1,3,2,7]=>[[1,2,6,7],[3,5],[4]]
[6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6]=>[6,5,3,4,2,7,1]=>[[1,4,7],[2],[3],[5],[6]]
[6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6]=>[6,1,5,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]
[6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6]=>[5,6,3,4,2,7,1]=>[[1,4,7],[2,6],[3],[5]]
[6,1,3,2,5,7,4]=>[4,7,5,2,3,1,6]=>[5,1,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5]]
[6,1,3,2,7,4,5]=>[5,4,7,2,3,1,6]=>[6,5,1,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]
[6,1,3,2,7,5,4]=>[4,5,7,2,3,1,6]=>[5,6,1,3,4,2,7]=>[[1,2,4,7],[3,6],[5]]
[6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6]=>[6,3,5,4,2,7,1]=>[[1,4,7],[2],[3],[5],[6]]
[6,1,3,4,2,7,5]=>[5,7,2,4,3,1,6]=>[6,1,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]
[6,1,3,4,5,2,7]=>[7,2,5,4,3,1,6]=>[3,6,5,4,2,7,1]=>[[1,4,7],[2],[3],[5],[6]]
[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[3,1,6,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]
[6,1,3,4,7,2,5]=>[5,2,7,4,3,1,6]=>[6,3,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]
[6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6]=>[3,6,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]
[6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6]=>[5,3,6,4,2,7,1]=>[[1,4,7],[2,6],[3],[5]]
[6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6]=>[5,1,3,6,4,2,7]=>[[1,2,4,7],[3,6],[5]]
[6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6]=>[3,5,6,4,2,7,1]=>[[1,4,6,7],[2],[3],[5]]
[6,1,3,5,4,7,2]=>[2,7,4,5,3,1,6]=>[3,1,5,6,4,2,7]=>[[1,2,6,7],[3,4],[5]]
[6,1,3,5,7,2,4]=>[4,2,7,5,3,1,6]=>[5,3,1,6,4,2,7]=>[[1,2,7],[3,4],[5,6]]
[6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6]=>[3,5,1,6,4,2,7]=>[[1,2,6,7],[3,4],[5]]
[6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6]=>[6,5,3,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]
[6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6]=>[5,6,3,1,4,2,7]=>[[1,2,7],[3,4],[5,6]]
[6,1,3,7,4,2,5]=>[5,2,4,7,3,1,6]=>[6,3,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]
[6,1,3,7,4,5,2]=>[2,5,4,7,3,1,6]=>[3,6,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]
[6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6]=>[5,3,6,1,4,2,7]=>[[1,2,7],[3,4],[5,6]]
[6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6]=>[3,5,6,1,4,2,7]=>[[1,2,6,7],[3,4],[5]]
[6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6]=>[6,4,3,5,2,7,1]=>[[1,5,7],[2],[3],[4],[6]]
[6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6]=>[6,1,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]
[6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6]=>[4,6,3,5,2,7,1]=>[[1,5,7],[2,6],[3],[4]]
[6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6]=>[4,1,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4]]
[6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6]=>[6,4,1,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]
[6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6]=>[4,6,1,3,5,2,7]=>[[1,2,5,7],[3,6],[4]]
[6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6]=>[6,3,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6]]
[6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6]=>[6,1,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]
[6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6]=>[3,6,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6]]
[6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6]=>[3,1,6,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]
[6,1,4,3,7,2,5]=>[5,2,7,3,4,1,6]=>[6,3,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]
[6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6]=>[3,6,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]
[6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6]=>[4,3,6,5,2,7,1]=>[[1,5,7],[2,6],[3],[4]]
[6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6]=>[4,1,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4]]
[6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6]=>[3,4,6,5,2,7,1]=>[[1,4,5,7],[2],[3],[6]]
[6,1,4,5,3,7,2]=>[2,7,3,5,4,1,6]=>[3,1,4,6,5,2,7]=>[[1,2,5,7],[3,4],[6]]
[6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6]=>[4,3,1,6,5,2,7]=>[[1,2,7],[3,5],[4,6]]
[6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6]=>[3,4,1,6,5,2,7]=>[[1,2,5,7],[3,4],[6]]
[6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6]=>[6,4,3,1,5,2,7]=>[[1,2,7],[3,5],[4],[6]]
[6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6]=>[4,6,3,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]
[6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6]=>[6,3,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6]]
[6,1,4,7,3,5,2]=>[2,5,3,7,4,1,6]=>[3,6,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6]]
[6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6]=>[4,3,6,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]
[6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6]=>[3,4,6,1,5,2,7]=>[[1,2,5,7],[3,4],[6]]
[6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6]=>[5,4,3,6,2,7,1]=>[[1,6,7],[2],[3],[4],[5]]
[6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6]=>[5,1,4,3,6,2,7]=>[[1,2,6,7],[3],[4],[5]]
[6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6]=>[4,5,3,6,2,7,1]=>[[1,5,6,7],[2],[3],[4]]
[6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6]=>[4,1,5,3,6,2,7]=>[[1,2,6,7],[3,5],[4]]
[6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6]=>[5,4,1,3,6,2,7]=>[[1,2,6,7],[3],[4],[5]]
[6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6]=>[4,5,1,3,6,2,7]=>[[1,2,6,7],[3,5],[4]]
[6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6]=>[5,3,4,6,2,7,1]=>[[1,4,6,7],[2],[3],[5]]
[6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6]=>[5,1,3,4,6,2,7]=>[[1,2,4,6,7],[3],[5]]
[6,1,5,3,4,2,7]=>[7,2,4,3,5,1,6]=>[3,5,4,6,2,7,1]=>[[1,4,6,7],[2],[3],[5]]
[6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6]=>[3,1,5,4,6,2,7]=>[[1,2,6,7],[3,4],[5]]
[6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6]=>[5,3,1,4,6,2,7]=>[[1,2,6,7],[3,4],[5]]
[6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6]=>[3,5,1,4,6,2,7]=>[[1,2,6,7],[3,4],[5]]
[6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6]=>[4,3,5,6,2,7,1]=>[[1,5,6,7],[2],[3],[4]]
[6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6]=>[4,1,3,5,6,2,7]=>[[1,2,5,6,7],[3],[4]]
[6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]=>[3,4,5,6,2,7,1]=>[[1,4,5,6,7],[2],[3]]
[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[3,1,4,5,6,2,7]=>[[1,2,5,6,7],[3,4]]
[6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6]=>[4,3,1,5,6,2,7]=>[[1,2,6,7],[3,5],[4]]
[6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6]=>[3,4,1,5,6,2,7]=>[[1,2,5,6,7],[3,4]]
[6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6]=>[5,4,3,1,6,2,7]=>[[1,2,7],[3,6],[4],[5]]
[6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6]=>[4,5,3,1,6,2,7]=>[[1,2,6,7],[3,5],[4]]
[6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6]=>[5,3,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5]]
[6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6]=>[3,5,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5]]
[6,1,5,7,4,2,3]=>[3,2,4,7,5,1,6]=>[4,3,5,1,6,2,7]=>[[1,2,6,7],[3,5],[4]]
[6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6]=>[3,4,5,1,6,2,7]=>[[1,2,5,6,7],[3,4]]
[6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]=>[6,5,4,3,1,2,7]=>[[1,2,7],[3],[4],[5],[6]]
[6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6]=>[5,6,4,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]
[6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6]=>[6,4,5,3,1,2,7]=>[[1,2,7],[3,5],[4],[6]]
[6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6]=>[4,6,5,3,1,2,7]=>[[1,2,7],[3,5],[4],[6]]
[6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6]=>[5,4,6,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]
[6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6]=>[4,5,6,3,1,2,7]=>[[1,2,6,7],[3,5],[4]]
[6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6]=>[6,5,3,4,1,2,7]=>[[1,2,7],[3,4],[5],[6]]
[6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6]=>[5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]
[6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6]=>[6,3,5,4,1,2,7]=>[[1,2,7],[3,4],[5],[6]]
[6,1,7,3,4,5,2]=>[2,5,4,3,7,1,6]=>[3,6,5,4,1,2,7]=>[[1,2,7],[3,4],[5],[6]]
[6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6]=>[5,3,6,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]
[6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6]=>[3,5,6,4,1,2,7]=>[[1,2,6,7],[3,4],[5]]
[6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6]=>[6,4,3,5,1,2,7]=>[[1,2,7],[3,5],[4],[6]]
[6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6]=>[4,6,3,5,1,2,7]=>[[1,2,7],[3,5],[4,6]]
[6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6]=>[6,3,4,5,1,2,7]=>[[1,2,5,7],[3,4],[6]]
[6,1,7,4,3,5,2]=>[2,5,3,4,7,1,6]=>[3,6,4,5,1,2,7]=>[[1,2,5,7],[3,4],[6]]
[6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6]=>[4,3,6,5,1,2,7]=>[[1,2,7],[3,5],[4,6]]
[6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6]=>[3,4,6,5,1,2,7]=>[[1,2,5,7],[3,4],[6]]
[6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6]=>[5,4,3,6,1,2,7]=>[[1,2,7],[3,6],[4],[5]]
[6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6]=>[4,5,3,6,1,2,7]=>[[1,2,6,7],[3,5],[4]]
[6,1,7,5,3,2,4]=>[4,2,3,5,7,1,6]=>[5,3,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5]]
[6,1,7,5,3,4,2]=>[2,4,3,5,7,1,6]=>[3,5,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5]]
[6,1,7,5,4,2,3]=>[3,2,4,5,7,1,6]=>[4,3,5,6,1,2,7]=>[[1,2,6,7],[3,5],[4]]
[6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]=>[3,4,5,6,1,2,7]=>[[1,2,5,6,7],[3,4]]
[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]=>[6,5,4,2,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]
[6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6]=>[6,1,5,4,2,3,7]=>[[1,2,3,7],[4],[5],[6]]
[6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6]=>[5,6,4,2,3,7,1]=>[[1,3,7],[2,6],[4],[5]]
[6,2,1,3,5,7,4]=>[4,7,5,3,1,2,6]=>[5,1,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]
[6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6]=>[6,5,1,4,2,3,7]=>[[1,2,3,7],[4],[5],[6]]
[6,2,1,3,7,5,4]=>[4,5,7,3,1,2,6]=>[5,6,1,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]
[6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6]=>[6,4,5,2,3,7,1]=>[[1,3,7],[2,5],[4],[6]]
[6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6]=>[6,1,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]
[6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6]=>[4,6,5,2,3,7,1]=>[[1,3,7],[2,5],[4],[6]]
[6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6]=>[4,1,6,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]
[6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6]=>[6,4,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]
[6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6]=>[4,6,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]
[6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6]=>[5,4,6,2,3,7,1]=>[[1,3,7],[2,6],[4],[5]]
[6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6]=>[5,1,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5]]
[6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6]=>[4,5,6,2,3,7,1]=>[[1,3,6,7],[2,5],[4]]
[6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6]=>[4,1,5,6,2,3,7]=>[[1,2,3,7],[4,5,6]]
[6,2,1,5,7,3,4]=>[4,3,7,5,1,2,6]=>[5,4,1,6,2,3,7]=>[[1,2,3,7],[4,6],[5]]
[6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6]=>[4,5,1,6,2,3,7]=>[[1,2,3,7],[4,5,6]]
[6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6]=>[6,5,4,1,2,3,7]=>[[1,2,3,7],[4],[5],[6]]
[6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6]=>[5,6,4,1,2,3,7]=>[[1,2,3,7],[4,6],[5]]
[6,2,1,7,4,3,5]=>[5,3,4,7,1,2,6]=>[6,4,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6]]
[6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6]=>[4,6,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6]]
[6,2,1,7,5,3,4]=>[4,3,5,7,1,2,6]=>[5,4,6,1,2,3,7]=>[[1,2,3,7],[4,6],[5]]
[6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6]=>[4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6]]
[6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6]=>[6,5,2,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]
[6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6]=>[6,1,5,2,4,3,7]=>[[1,2,3,7],[4],[5],[6]]
[6,2,3,1,5,4,7]=>[7,4,5,1,3,2,6]=>[5,6,2,4,3,7,1]=>[[1,3,7],[2,6],[4],[5]]
[6,2,3,1,5,7,4]=>[4,7,5,1,3,2,6]=>[5,1,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5]]
[6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6]=>[6,5,1,2,4,3,7]=>[[1,2,3,7],[4],[5],[6]]
[6,2,3,1,7,5,4]=>[4,5,7,1,3,2,6]=>[5,6,1,2,4,3,7]=>[[1,2,3,7],[4,6],[5]]
[6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6]=>[6,2,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]
[6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6]=>[6,1,2,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]
[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[2,6,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]
[6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6]=>[2,1,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]
[6,2,3,4,7,1,5]=>[5,1,7,4,3,2,6]=>[6,2,1,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]
[6,2,3,4,7,5,1]=>[1,5,7,4,3,2,6]=>[2,6,1,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]
[6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6]=>[5,2,6,4,3,7,1]=>[[1,3,7],[2,6],[4],[5]]
[6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6]=>[5,1,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5]]
[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[2,5,6,4,3,7,1]=>[[1,3,6,7],[2],[4],[5]]
[6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6]=>[2,1,5,6,4,3,7]=>[[1,3,6,7],[2,4],[5]]
[6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6]=>[5,2,1,6,4,3,7]=>[[1,3,7],[2,4],[5,6]]
[6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6]=>[2,5,1,6,4,3,7]=>[[1,3,6,7],[2,4],[5]]
[6,2,3,7,1,4,5]=>[5,4,1,7,3,2,6]=>[6,5,2,1,4,3,7]=>[[1,3,7],[2,4],[5],[6]]
[6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6]=>[5,6,2,1,4,3,7]=>[[1,3,7],[2,4],[5,6]]
[6,2,3,7,4,1,5]=>[5,1,4,7,3,2,6]=>[6,2,5,1,4,3,7]=>[[1,3,7],[2,4],[5],[6]]
[6,2,3,7,4,5,1]=>[1,5,4,7,3,2,6]=>[2,6,5,1,4,3,7]=>[[1,3,7],[2,4],[5],[6]]
[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[5,2,6,1,4,3,7]=>[[1,3,7],[2,4],[5,6]]
[6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6]=>[2,5,6,1,4,3,7]=>[[1,3,6,7],[2,4],[5]]
[6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6]=>[6,4,2,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]
[6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6]=>[6,1,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]
[6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6]=>[4,6,2,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]
[6,2,4,1,5,7,3]=>[3,7,5,1,4,2,6]=>[4,1,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]
[6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6]=>[6,4,1,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]
[6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6]=>[4,6,1,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]
[6,2,4,3,1,5,7]=>[7,5,1,3,4,2,6]=>[6,2,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6]]
[6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6]=>[6,1,2,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]
[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[2,6,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6]]
[6,2,4,3,5,7,1]=>[1,7,5,3,4,2,6]=>[2,1,6,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]
[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[6,2,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]
[6,2,4,3,7,5,1]=>[1,5,7,3,4,2,6]=>[2,6,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]
[6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6]=>[4,2,6,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]
[6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6]=>[4,1,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6]]
[6,2,4,5,3,1,7]=>[7,1,3,5,4,2,6]=>[2,4,6,5,3,7,1]=>[[1,3,5,7],[2],[4],[6]]
[6,2,4,5,3,7,1]=>[1,7,3,5,4,2,6]=>[2,1,4,6,5,3,7]=>[[1,3,5,7],[2,4],[6]]
[6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6]=>[4,2,1,6,5,3,7]=>[[1,3,7],[2,5],[4,6]]
[6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6]=>[2,4,1,6,5,3,7]=>[[1,3,5,7],[2,4],[6]]
[6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6]=>[6,4,2,1,5,3,7]=>[[1,3,7],[2,5],[4],[6]]
[6,2,4,7,1,5,3]=>[3,5,1,7,4,2,6]=>[4,6,2,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]
[6,2,4,7,3,1,5]=>[5,1,3,7,4,2,6]=>[6,2,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]
[6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6]=>[2,6,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]
[6,2,4,7,5,1,3]=>[3,1,5,7,4,2,6]=>[4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]
[6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6]=>[2,4,6,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]
[6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6]=>[5,4,2,6,3,7,1]=>[[1,3,7],[2,6],[4],[5]]
[6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6]=>[5,1,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]
[6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6]=>[4,5,2,6,3,7,1]=>[[1,3,6,7],[2,5],[4]]
[6,2,5,1,4,7,3]=>[3,7,4,1,5,2,6]=>[4,1,5,2,6,3,7]=>[[1,2,3,7],[4,5,6]]
[6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6]=>[5,4,1,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]
[6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6]=>[4,5,1,2,6,3,7]=>[[1,2,3,7],[4,5,6]]
[6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6]=>[5,2,4,6,3,7,1]=>[[1,3,6,7],[2],[4],[5]]
[6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6]=>[5,1,2,4,6,3,7]=>[[1,2,3,6,7],[4],[5]]
[6,2,5,3,4,1,7]=>[7,1,4,3,5,2,6]=>[2,5,4,6,3,7,1]=>[[1,3,6,7],[2],[4],[5]]
[6,2,5,3,4,7,1]=>[1,7,4,3,5,2,6]=>[2,1,5,4,6,3,7]=>[[1,3,6,7],[2,4],[5]]
[6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6]=>[5,2,1,4,6,3,7]=>[[1,3,6,7],[2,4],[5]]
[6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6]=>[2,5,1,4,6,3,7]=>[[1,3,6,7],[2,4],[5]]
[6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6]=>[4,2,5,6,3,7,1]=>[[1,3,6,7],[2,5],[4]]
[6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6]=>[4,1,2,5,6,3,7]=>[[1,2,3,6,7],[4,5]]
[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[2,4,5,6,3,7,1]=>[[1,3,5,6,7],[2],[4]]
[6,2,5,4,3,7,1]=>[1,7,3,4,5,2,6]=>[2,1,4,5,6,3,7]=>[[1,3,5,6,7],[2,4]]
[6,2,5,4,7,1,3]=>[3,1,7,4,5,2,6]=>[4,2,1,5,6,3,7]=>[[1,3,6,7],[2,5],[4]]
[6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6]=>[2,4,1,5,6,3,7]=>[[1,3,5,6,7],[2,4]]
[6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6]=>[5,4,2,1,6,3,7]=>[[1,3,7],[2,6],[4],[5]]
[6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6]=>[4,5,2,1,6,3,7]=>[[1,3,6,7],[2,5],[4]]
[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[5,2,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5]]
[6,2,5,7,3,4,1]=>[1,4,3,7,5,2,6]=>[2,5,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5]]
[6,2,5,7,4,1,3]=>[3,1,4,7,5,2,6]=>[4,2,5,1,6,3,7]=>[[1,3,6,7],[2,5],[4]]
[6,2,5,7,4,3,1]=>[1,3,4,7,5,2,6]=>[2,4,5,1,6,3,7]=>[[1,3,5,6,7],[2,4]]
[6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6]=>[6,5,4,2,1,3,7]=>[[1,3,7],[2],[4],[5],[6]]
[6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6]=>[5,6,4,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]
[6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6]=>[6,4,5,2,1,3,7]=>[[1,3,7],[2,5],[4],[6]]
[6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6]=>[4,6,5,2,1,3,7]=>[[1,3,7],[2,5],[4],[6]]
[6,2,7,1,5,3,4]=>[4,3,5,1,7,2,6]=>[5,4,6,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]
[6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6]=>[4,5,6,2,1,3,7]=>[[1,3,6,7],[2,5],[4]]
[6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6]=>[6,5,2,4,1,3,7]=>[[1,3,7],[2,4],[5],[6]]
[6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6]=>[5,6,2,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]
[6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6]=>[6,2,5,4,1,3,7]=>[[1,3,7],[2,4],[5],[6]]
[6,2,7,3,4,5,1]=>[1,5,4,3,7,2,6]=>[2,6,5,4,1,3,7]=>[[1,3,7],[2,4],[5],[6]]
[6,2,7,3,5,1,4]=>[4,1,5,3,7,2,6]=>[5,2,6,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]
[6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6]=>[2,5,6,4,1,3,7]=>[[1,3,6,7],[2,4],[5]]
[6,2,7,4,1,3,5]=>[5,3,1,4,7,2,6]=>[6,4,2,5,1,3,7]=>[[1,3,7],[2,5],[4],[6]]
[6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6]=>[4,6,2,5,1,3,7]=>[[1,3,7],[2,5],[4,6]]
[6,2,7,4,3,1,5]=>[5,1,3,4,7,2,6]=>[6,2,4,5,1,3,7]=>[[1,3,5,7],[2,4],[6]]
[6,2,7,4,3,5,1]=>[1,5,3,4,7,2,6]=>[2,6,4,5,1,3,7]=>[[1,3,5,7],[2,4],[6]]
[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[4,2,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6]]
[6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6]=>[2,4,6,5,1,3,7]=>[[1,3,5,7],[2,4],[6]]
[6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6]=>[5,4,2,6,1,3,7]=>[[1,3,7],[2,6],[4],[5]]
[6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6]=>[4,5,2,6,1,3,7]=>[[1,3,6,7],[2,5],[4]]
[6,2,7,5,3,1,4]=>[4,1,3,5,7,2,6]=>[5,2,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5]]
[6,2,7,5,3,4,1]=>[1,4,3,5,7,2,6]=>[2,5,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5]]
[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[4,2,5,6,1,3,7]=>[[1,3,6,7],[2,5],[4]]
[6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6]=>[2,4,5,6,1,3,7]=>[[1,3,5,6,7],[2,4]]
[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]=>[6,5,3,2,4,7,1]=>[[1,4,7],[2],[3],[5],[6]]
[6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6]=>[6,1,5,3,2,4,7]=>[[1,2,4,7],[3],[5],[6]]
[6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6]=>[5,6,3,2,4,7,1]=>[[1,4,7],[2,6],[3],[5]]
[6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6]=>[5,1,6,3,2,4,7]=>[[1,2,4,7],[3,6],[5]]
[6,3,1,2,7,4,5]=>[5,4,7,2,1,3,6]=>[6,5,1,3,2,4,7]=>[[1,2,4,7],[3],[5],[6]]
[6,3,1,2,7,5,4]=>[4,5,7,2,1,3,6]=>[5,6,1,3,2,4,7]=>[[1,2,4,7],[3,6],[5]]
[6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6]=>[6,3,5,2,4,7,1]=>[[1,4,7],[2,5],[3],[6]]
[6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6]=>[6,1,3,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]
[6,3,1,4,5,2,7]=>[7,2,5,4,1,3,6]=>[3,6,5,2,4,7,1]=>[[1,4,7],[2,5],[3],[6]]
[6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6]=>[3,1,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]
[6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6]=>[6,3,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]
[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[3,6,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]
[6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6]=>[5,3,6,2,4,7,1]=>[[1,4,7],[2,6],[3],[5]]
[6,3,1,5,2,7,4]=>[4,7,2,5,1,3,6]=>[5,1,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]
[6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6]=>[3,5,6,2,4,7,1]=>[[1,4,6,7],[2,5],[3]]
[6,3,1,5,4,7,2]=>[2,7,4,5,1,3,6]=>[3,1,5,6,2,4,7]=>[[1,2,4,7],[3,5,6]]
[6,3,1,5,7,2,4]=>[4,2,7,5,1,3,6]=>[5,3,1,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]
[6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6]=>[3,5,1,6,2,4,7]=>[[1,2,4,7],[3,5,6]]
[6,3,1,7,2,4,5]=>[5,4,2,7,1,3,6]=>[6,5,3,1,2,4,7]=>[[1,2,4,7],[3],[5],[6]]
[6,3,1,7,2,5,4]=>[4,5,2,7,1,3,6]=>[5,6,3,1,2,4,7]=>[[1,2,4,7],[3,6],[5]]
[6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6]=>[6,3,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6]]
[6,3,1,7,4,5,2]=>[2,5,4,7,1,3,6]=>[3,6,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6]]
[6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6]=>[5,3,6,1,2,4,7]=>[[1,2,4,7],[3,6],[5]]
[6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6]=>[3,5,6,1,2,4,7]=>[[1,2,4,7],[3,5,6]]
[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]=>[6,5,2,3,4,7,1]=>[[1,3,4,7],[2],[5],[6]]
[6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6]=>[6,1,5,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]
[6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6]=>[5,6,2,3,4,7,1]=>[[1,3,4,7],[2,6],[5]]
[6,3,2,1,5,7,4]=>[4,7,5,1,2,3,6]=>[5,1,6,2,3,4,7]=>[[1,2,3,4,7],[5,6]]
[6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6]=>[6,5,1,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]
[6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6]=>[5,6,1,2,3,4,7]=>[[1,2,3,4,7],[5,6]]
[6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6]=>[6,2,5,3,4,7,1]=>[[1,3,4,7],[2],[5],[6]]
[6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6]=>[6,1,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6]]
[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[2,6,5,3,4,7,1]=>[[1,3,4,7],[2],[5],[6]]
[6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6]=>[2,1,6,5,3,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[6,2,1,5,3,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6]=>[2,6,1,5,3,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6]=>[5,2,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5]]
[6,3,2,5,1,7,4]=>[4,7,1,5,2,3,6]=>[5,1,2,6,3,4,7]=>[[1,2,3,4,7],[5,6]]
[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[2,5,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5]]
[6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6]=>[2,1,5,6,3,4,7]=>[[1,3,4,7],[2,5,6]]
[6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6]=>[5,2,1,6,3,4,7]=>[[1,3,4,7],[2,6],[5]]
[6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6]=>[2,5,1,6,3,4,7]=>[[1,3,4,7],[2,5,6]]
[6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6]=>[6,5,2,1,3,4,7]=>[[1,3,4,7],[2],[5],[6]]
[6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6]=>[5,6,2,1,3,4,7]=>[[1,3,4,7],[2,6],[5]]
[6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6]=>[6,2,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,2,7,4,5,1]=>[1,5,4,7,2,3,6]=>[2,6,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[5,2,6,1,3,4,7]=>[[1,3,4,7],[2,6],[5]]
[6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]=>[2,5,6,1,3,4,7]=>[[1,3,4,7],[2,5,6]]
[6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]=>[6,3,2,5,4,7,1]=>[[1,4,7],[2,5],[3],[6]]
[6,3,4,1,2,7,5]=>[5,7,2,1,4,3,6]=>[6,1,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]
[6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6]=>[3,6,2,5,4,7,1]=>[[1,4,7],[2,5],[3],[6]]
[6,3,4,1,5,7,2]=>[2,7,5,1,4,3,6]=>[3,1,6,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]
[6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6]=>[6,3,1,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]
[6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6]=>[3,6,1,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]
[6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]=>[6,2,3,5,4,7,1]=>[[1,3,4,7],[2],[5],[6]]
[6,3,4,2,1,7,5]=>[5,7,1,2,4,3,6]=>[6,1,2,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]
[6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]=>[2,6,3,5,4,7,1]=>[[1,3,4,7],[2],[5],[6]]
[6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]=>[2,1,6,3,5,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,4,2,7,1,5]=>[5,1,7,2,4,3,6]=>[6,2,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6]=>[2,6,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]=>[3,2,6,5,4,7,1]=>[[1,4,7],[2,5],[3],[6]]
[6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6]=>[3,1,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]
[6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]=>[2,3,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6]]
[6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]=>[2,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]=>[3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6]]
[6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]=>[2,3,1,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6]=>[6,3,2,1,5,4,7]=>[[1,4,7],[2,5],[3],[6]]
[6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6]=>[3,6,2,1,5,4,7]=>[[1,4,7],[2,5],[3,6]]
[6,3,4,7,2,1,5]=>[5,1,2,7,4,3,6]=>[6,2,3,1,5,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6]=>[2,6,3,1,5,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,4,7,5,1,2]=>[2,1,5,7,4,3,6]=>[3,2,6,1,5,4,7]=>[[1,4,7],[2,5],[3,6]]
[6,3,4,7,5,2,1]=>[1,2,5,7,4,3,6]=>[2,3,6,1,5,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]=>[5,3,2,6,4,7,1]=>[[1,4,7],[2,6],[3],[5]]
[6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6]=>[5,1,3,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]
[6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6]=>[3,5,2,6,4,7,1]=>[[1,4,6,7],[2,5],[3]]
[6,3,5,1,4,7,2]=>[2,7,4,1,5,3,6]=>[3,1,5,2,6,4,7]=>[[1,2,4,7],[3,5,6]]
[6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6]=>[5,3,1,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]
[6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6]=>[3,5,1,2,6,4,7]=>[[1,2,4,7],[3,5,6]]
[6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6]=>[5,2,3,6,4,7,1]=>[[1,3,4,7],[2,6],[5]]
[6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6]=>[5,1,2,3,6,4,7]=>[[1,2,3,4,7],[5,6]]
[6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6]=>[2,5,3,6,4,7,1]=>[[1,3,4,7],[2,6],[5]]
[6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6]=>[2,1,5,3,6,4,7]=>[[1,3,4,7],[2,5,6]]
[6,3,5,2,7,1,4]=>[4,1,7,2,5,3,6]=>[5,2,1,3,6,4,7]=>[[1,3,4,7],[2,6],[5]]
[6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6]=>[2,5,1,3,6,4,7]=>[[1,3,4,7],[2,5,6]]
[6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6]=>[3,2,5,6,4,7,1]=>[[1,4,6,7],[2,5],[3]]
[6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6]=>[3,1,2,5,6,4,7]=>[[1,2,4,6,7],[3,5]]
[6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6]=>[2,3,5,6,4,7,1]=>[[1,3,4,6,7],[2],[5]]
[6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6]=>[2,1,3,5,6,4,7]=>[[1,3,4,6,7],[2,5]]
[6,3,5,4,7,1,2]=>[2,1,7,4,5,3,6]=>[3,2,1,5,6,4,7]=>[[1,4,6,7],[2,5],[3]]
[6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6]=>[2,3,1,5,6,4,7]=>[[1,3,4,6,7],[2,5]]
[6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6]=>[5,3,2,1,6,4,7]=>[[1,4,7],[2,6],[3],[5]]
[6,3,5,7,1,4,2]=>[2,4,1,7,5,3,6]=>[3,5,2,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]
[6,3,5,7,2,1,4]=>[4,1,2,7,5,3,6]=>[5,2,3,1,6,4,7]=>[[1,3,4,7],[2,6],[5]]
[6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6]=>[2,5,3,1,6,4,7]=>[[1,3,4,7],[2,6],[5]]
[6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6]=>[3,2,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]
[6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6]=>[2,3,5,1,6,4,7]=>[[1,3,4,6,7],[2,5]]
[6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6]=>[6,5,3,2,1,4,7]=>[[1,4,7],[2],[3],[5],[6]]
[6,3,7,1,2,5,4]=>[4,5,2,1,7,3,6]=>[5,6,3,2,1,4,7]=>[[1,4,7],[2,6],[3],[5]]
[6,3,7,1,4,2,5]=>[5,2,4,1,7,3,6]=>[6,3,5,2,1,4,7]=>[[1,4,7],[2,5],[3],[6]]
[6,3,7,1,4,5,2]=>[2,5,4,1,7,3,6]=>[3,6,5,2,1,4,7]=>[[1,4,7],[2,5],[3],[6]]
[6,3,7,1,5,2,4]=>[4,2,5,1,7,3,6]=>[5,3,6,2,1,4,7]=>[[1,4,7],[2,6],[3],[5]]
[6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]=>[3,5,6,2,1,4,7]=>[[1,4,6,7],[2,5],[3]]
[6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6]=>[6,5,2,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]
[6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6]=>[5,6,2,3,1,4,7]=>[[1,3,4,7],[2,6],[5]]
[6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6]=>[6,2,5,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]
[6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6]=>[2,6,5,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]
[6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]=>[5,2,6,3,1,4,7]=>[[1,3,4,7],[2,6],[5]]
[6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]=>[2,5,6,3,1,4,7]=>[[1,3,4,7],[2,6],[5]]
[6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6]=>[6,3,2,5,1,4,7]=>[[1,4,7],[2,5],[3],[6]]
[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[3,6,2,5,1,4,7]=>[[1,4,7],[2,5],[3,6]]
[6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6]=>[6,2,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,7,4,2,5,1]=>[1,5,2,4,7,3,6]=>[2,6,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,7,4,5,1,2]=>[2,1,5,4,7,3,6]=>[3,2,6,5,1,4,7]=>[[1,4,7],[2,5],[3,6]]
[6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6]=>[2,3,6,5,1,4,7]=>[[1,3,4,7],[2,5],[6]]
[6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6]=>[5,3,2,6,1,4,7]=>[[1,4,7],[2,6],[3],[5]]
[6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]=>[3,5,2,6,1,4,7]=>[[1,4,6,7],[2,5],[3]]
[6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]=>[5,2,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]
[6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6]=>[2,5,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]
[6,3,7,5,4,1,2]=>[2,1,4,5,7,3,6]=>[3,2,5,6,1,4,7]=>[[1,4,6,7],[2,5],[3]]
[6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]=>[2,3,5,6,1,4,7]=>[[1,3,4,6,7],[2,5]]
[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>[6,4,3,2,5,7,1]=>[[1,5,7],[2],[3],[4],[6]]
[6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6]=>[6,1,4,3,2,5,7]=>[[1,2,5,7],[3],[4],[6]]
[6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6]=>[4,6,3,2,5,7,1]=>[[1,5,7],[2,6],[3],[4]]
[6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6]=>[4,1,6,3,2,5,7]=>[[1,2,5,7],[3,6],[4]]
[6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6]=>[6,4,1,3,2,5,7]=>[[1,2,5,7],[3],[4],[6]]
[6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6]=>[4,6,1,3,2,5,7]=>[[1,2,5,7],[3,6],[4]]
[6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6]=>[6,3,4,2,5,7,1]=>[[1,4,5,7],[2],[3],[6]]
[6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6]=>[6,1,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6]]
[6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6]=>[3,6,4,2,5,7,1]=>[[1,4,5,7],[2],[3],[6]]
[6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6]=>[3,1,6,4,2,5,7]=>[[1,2,5,7],[3,4],[6]]
[6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6]=>[6,3,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6]]
[6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6]=>[3,6,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6]]
[6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6]=>[4,3,6,2,5,7,1]=>[[1,5,7],[2,6],[3],[4]]
[6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6]=>[4,1,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]
[6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6]=>[3,4,6,2,5,7,1]=>[[1,4,5,7],[2,6],[3]]
[6,4,1,5,3,7,2]=>[2,7,3,5,1,4,6]=>[3,1,4,6,2,5,7]=>[[1,2,5,7],[3,4,6]]
[6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6]=>[4,3,1,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]
[6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6]=>[3,4,1,6,2,5,7]=>[[1,2,5,7],[3,4,6]]
[6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6]=>[6,4,3,1,2,5,7]=>[[1,2,5,7],[3],[4],[6]]
[6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6]=>[4,6,3,1,2,5,7]=>[[1,2,5,7],[3,6],[4]]
[6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6]=>[6,3,4,1,2,5,7]=>[[1,2,5,7],[3,4],[6]]
[6,4,1,7,3,5,2]=>[2,5,3,7,1,4,6]=>[3,6,4,1,2,5,7]=>[[1,2,5,7],[3,4],[6]]
[6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6]=>[4,3,6,1,2,5,7]=>[[1,2,5,7],[3,6],[4]]
[6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]=>[3,4,6,1,2,5,7]=>[[1,2,5,7],[3,4,6]]
[6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]=>[6,4,2,3,5,7,1]=>[[1,3,5,7],[2],[4],[6]]
[6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6]=>[6,1,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]
[6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6]=>[4,6,2,3,5,7,1]=>[[1,3,5,7],[2,6],[4]]
[6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6]=>[4,1,6,2,3,5,7]=>[[1,2,3,5,7],[4,6]]
[6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6]=>[6,4,1,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]
[6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]=>[4,6,1,2,3,5,7]=>[[1,2,3,5,7],[4,6]]
[6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6]=>[6,2,4,3,5,7,1]=>[[1,3,5,7],[2],[4],[6]]
[6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6]=>[6,1,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]
[6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]=>[2,6,4,3,5,7,1]=>[[1,3,5,7],[2],[4],[6]]
[6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]=>[2,1,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]
[6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6]=>[6,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]
[6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6]=>[2,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]
[6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6]=>[4,2,6,3,5,7,1]=>[[1,3,5,7],[2,6],[4]]
[6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6]=>[4,1,2,6,3,5,7]=>[[1,2,3,5,7],[4,6]]
[6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6]=>[2,4,6,3,5,7,1]=>[[1,3,5,7],[2,6],[4]]
[6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6]=>[2,1,4,6,3,5,7]=>[[1,3,5,7],[2,4,6]]
[6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6]=>[4,2,1,6,3,5,7]=>[[1,3,5,7],[2,6],[4]]
[6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6]=>[2,4,1,6,3,5,7]=>[[1,3,5,7],[2,4,6]]
[6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6]=>[6,4,2,1,3,5,7]=>[[1,3,5,7],[2],[4],[6]]
[6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6]=>[4,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]
[6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6]=>[6,2,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]
[6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6]=>[2,6,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]
[6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6]=>[4,2,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]
[6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]=>[2,4,6,1,3,5,7]=>[[1,3,5,7],[2,4,6]]
[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>[6,3,2,4,5,7,1]=>[[1,4,5,7],[2],[3],[6]]
[6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6]=>[6,1,3,2,4,5,7]=>[[1,2,4,5,7],[3],[6]]
[6,4,3,1,5,2,7]=>[7,2,5,1,3,4,6]=>[3,6,2,4,5,7,1]=>[[1,4,5,7],[2,6],[3]]
[6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6]=>[3,1,6,2,4,5,7]=>[[1,2,4,5,7],[3,6]]
[6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6]=>[6,3,1,2,4,5,7]=>[[1,2,4,5,7],[3],[6]]
[6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]=>[3,6,1,2,4,5,7]=>[[1,2,4,5,7],[3,6]]
[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>[6,2,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6]]
[6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]=>[6,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]
[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[2,6,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6]]
[6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]=>[2,1,6,3,4,5,7]=>[[1,3,4,5,7],[2,6]]
[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[6,2,1,3,4,5,7]=>[[1,3,4,5,7],[2],[6]]
[6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]=>[2,6,1,3,4,5,7]=>[[1,3,4,5,7],[2,6]]
[6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]=>[3,2,6,4,5,7,1]=>[[1,4,5,7],[2,6],[3]]
[6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6]=>[3,1,2,6,4,5,7]=>[[1,2,4,5,7],[3,6]]
[6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]=>[2,3,6,4,5,7,1]=>[[1,3,4,5,7],[2],[6]]
[6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]=>[2,1,3,6,4,5,7]=>[[1,3,4,5,7],[2,6]]
[6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]=>[3,2,1,6,4,5,7]=>[[1,4,5,7],[2,6],[3]]
[6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]=>[2,3,1,6,4,5,7]=>[[1,3,4,5,7],[2,6]]
[6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6]=>[6,3,2,1,4,5,7]=>[[1,4,5,7],[2],[3],[6]]
[6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6]=>[3,6,2,1,4,5,7]=>[[1,4,5,7],[2,6],[3]]
[6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6]=>[6,2,3,1,4,5,7]=>[[1,3,4,5,7],[2],[6]]
[6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]=>[2,6,3,1,4,5,7]=>[[1,3,4,5,7],[2],[6]]
[6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6]=>[3,2,6,1,4,5,7]=>[[1,4,5,7],[2,6],[3]]
[6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]=>[2,3,6,1,4,5,7]=>[[1,3,4,5,7],[2,6]]
[6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]=>[4,3,2,6,5,7,1]=>[[1,5,7],[2,6],[3],[4]]
[6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6]=>[4,1,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]
[6,4,5,1,3,2,7]=>[7,2,3,1,5,4,6]=>[3,4,2,6,5,7,1]=>[[1,4,5,7],[2,6],[3]]
[6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6]=>[3,1,4,2,6,5,7]=>[[1,2,5,7],[3,4,6]]
[6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6]=>[4,3,1,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]
[6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6]=>[3,4,1,2,6,5,7]=>[[1,2,5,7],[3,4,6]]
[6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]=>[4,2,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4]]
[6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6]=>[4,1,2,3,6,5,7]=>[[1,2,3,5,7],[4,6]]
[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4]]
[6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]=>[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]
[6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6]=>[4,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4]]
[6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6]=>[2,4,1,3,6,5,7]=>[[1,3,5,7],[2,4,6]]
[6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]=>[3,2,4,6,5,7,1]=>[[1,4,5,7],[2,6],[3]]
[6,4,5,3,1,7,2]=>[2,7,1,3,5,4,6]=>[3,1,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]
[6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]=>[2,3,4,6,5,7,1]=>[[1,3,4,5,7],[2],[6]]
[6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]=>[2,1,3,4,6,5,7]=>[[1,3,4,5,7],[2,6]]
[6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]=>[3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3]]
[6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]=>[2,3,1,4,6,5,7]=>[[1,3,4,5,7],[2,6]]
[6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]=>[4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]
[6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6]=>[3,4,2,1,6,5,7]=>[[1,4,5,7],[2,6],[3]]
[6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]=>[4,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]
[6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]=>[2,4,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]
[6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]=>[3,2,4,1,6,5,7]=>[[1,4,5,7],[2,6],[3]]
[6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]=>[2,3,4,1,6,5,7]=>[[1,3,4,5,7],[2,6]]
[6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6]=>[6,4,3,2,1,5,7]=>[[1,5,7],[2],[3],[4],[6]]
[6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6]=>[4,6,3,2,1,5,7]=>[[1,5,7],[2,6],[3],[4]]
[6,4,7,1,3,2,5]=>[5,2,3,1,7,4,6]=>[6,3,4,2,1,5,7]=>[[1,4,5,7],[2],[3],[6]]
[6,4,7,1,3,5,2]=>[2,5,3,1,7,4,6]=>[3,6,4,2,1,5,7]=>[[1,4,5,7],[2],[3],[6]]
[6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6]=>[4,3,6,2,1,5,7]=>[[1,5,7],[2,6],[3],[4]]
[6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]=>[3,4,6,2,1,5,7]=>[[1,4,5,7],[2,6],[3]]
[6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6]=>[6,4,2,3,1,5,7]=>[[1,3,5,7],[2],[4],[6]]
[6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6]=>[4,6,2,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]
[6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6]=>[6,2,4,3,1,5,7]=>[[1,3,5,7],[2],[4],[6]]
[6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6]=>[2,6,4,3,1,5,7]=>[[1,3,5,7],[2],[4],[6]]
[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[4,2,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]
[6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]=>[2,4,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]
[6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6]=>[6,3,2,4,1,5,7]=>[[1,4,5,7],[2],[3],[6]]
[6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6]=>[3,6,2,4,1,5,7]=>[[1,4,5,7],[2,6],[3]]
[6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]=>[6,2,3,4,1,5,7]=>[[1,3,4,5,7],[2],[6]]
[6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6]=>[2,6,3,4,1,5,7]=>[[1,3,4,5,7],[2],[6]]
[6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]=>[3,2,6,4,1,5,7]=>[[1,4,5,7],[2,6],[3]]
[6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]=>[2,3,6,4,1,5,7]=>[[1,3,4,5,7],[2],[6]]
[6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6]=>[4,3,2,6,1,5,7]=>[[1,5,7],[2,6],[3],[4]]
[6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]=>[3,4,2,6,1,5,7]=>[[1,4,5,7],[2,6],[3]]
[6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6]=>[4,2,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4]]
[6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]=>[2,4,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4]]
[6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6]=>[3,2,4,6,1,5,7]=>[[1,4,5,7],[2,6],[3]]
[6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]=>[2,3,4,6,1,5,7]=>[[1,3,4,5,7],[2,6]]
[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>[5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5]]
[6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6]=>[5,1,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]
[6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6]=>[4,5,3,2,6,7,1]=>[[1,5,6,7],[2],[3],[4]]
[6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6]=>[4,1,5,3,2,6,7]=>[[1,2,6,7],[3,5],[4]]
[6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6]=>[5,4,1,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]
[6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6]=>[4,5,1,3,2,6,7]=>[[1,2,6,7],[3,5],[4]]
[6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6]=>[5,3,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5]]
[6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6]=>[5,1,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]
[6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6]=>[3,5,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5]]
[6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6]=>[3,1,5,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]
[6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6]=>[5,3,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]
[6,5,1,3,7,4,2]=>[2,4,7,3,1,5,6]=>[3,5,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]
[6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]=>[4,3,5,2,6,7,1]=>[[1,5,6,7],[2],[3],[4]]
[6,5,1,4,2,7,3]=>[3,7,2,4,1,5,6]=>[4,1,3,5,2,6,7]=>[[1,2,5,6,7],[3],[4]]
[6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]=>[3,4,5,2,6,7,1]=>[[1,4,5,6,7],[2],[3]]
[6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6]=>[3,1,4,5,2,6,7]=>[[1,2,5,6,7],[3,4]]
[6,5,1,4,7,2,3]=>[3,2,7,4,1,5,6]=>[4,3,1,5,2,6,7]=>[[1,2,6,7],[3,5],[4]]
[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[3,4,1,5,2,6,7]=>[[1,2,5,6,7],[3,4]]
[6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6]=>[5,4,3,1,2,6,7]=>[[1,2,6,7],[3],[4],[5]]
[6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6]=>[4,5,3,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]
[6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6]=>[5,3,4,1,2,6,7]=>[[1,2,6,7],[3,4],[5]]
[6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6]=>[3,5,4,1,2,6,7]=>[[1,2,6,7],[3,4],[5]]
[6,5,1,7,4,2,3]=>[3,2,4,7,1,5,6]=>[4,3,5,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]
[6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]=>[3,4,5,1,2,6,7]=>[[1,2,5,6,7],[3,4]]
[6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]=>[5,4,2,3,6,7,1]=>[[1,3,6,7],[2],[4],[5]]
[6,5,2,1,3,7,4]=>[4,7,3,1,2,5,6]=>[5,1,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5]]
[6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]=>[4,5,2,3,6,7,1]=>[[1,3,6,7],[2,5],[4]]
[6,5,2,1,4,7,3]=>[3,7,4,1,2,5,6]=>[4,1,5,2,3,6,7]=>[[1,2,3,6,7],[4,5]]
[6,5,2,1,7,3,4]=>[4,3,7,1,2,5,6]=>[5,4,1,2,3,6,7]=>[[1,2,3,6,7],[4],[5]]
[6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6]=>[4,5,1,2,3,6,7]=>[[1,2,3,6,7],[4,5]]
[6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6]=>[5,2,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5]]
[6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6]=>[5,1,2,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]
[6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]=>[2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5]]
[6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]=>[2,1,5,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]
[6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6]=>[5,2,1,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]
[6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6]=>[2,5,1,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]
[6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]=>[4,2,5,3,6,7,1]=>[[1,3,6,7],[2,5],[4]]
[6,5,2,4,1,7,3]=>[3,7,1,4,2,5,6]=>[4,1,2,5,3,6,7]=>[[1,2,3,6,7],[4,5]]
[6,5,2,4,3,1,7]=>[7,1,3,4,2,5,6]=>[2,4,5,3,6,7,1]=>[[1,3,5,6,7],[2],[4]]
[6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6]=>[2,1,4,5,3,6,7]=>[[1,3,5,6,7],[2,4]]
[6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6]=>[4,2,1,5,3,6,7]=>[[1,3,6,7],[2,5],[4]]
[6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6]=>[2,4,1,5,3,6,7]=>[[1,3,5,6,7],[2,4]]
[6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6]=>[5,4,2,1,3,6,7]=>[[1,3,6,7],[2],[4],[5]]
[6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6]=>[4,5,2,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]
[6,5,2,7,3,1,4]=>[4,1,3,7,2,5,6]=>[5,2,4,1,3,6,7]=>[[1,3,6,7],[2,4],[5]]
[6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6]=>[2,5,4,1,3,6,7]=>[[1,3,6,7],[2,4],[5]]
[6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6]=>[4,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]
[6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]=>[2,4,5,1,3,6,7]=>[[1,3,5,6,7],[2,4]]
[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>[5,3,2,4,6,7,1]=>[[1,4,6,7],[2],[3],[5]]
[6,5,3,1,2,7,4]=>[4,7,2,1,3,5,6]=>[5,1,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]
[6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6]=>[3,5,2,4,6,7,1]=>[[1,4,6,7],[2,5],[3]]
[6,5,3,1,4,7,2]=>[2,7,4,1,3,5,6]=>[3,1,5,2,4,6,7]=>[[1,2,4,6,7],[3,5]]
[6,5,3,1,7,2,4]=>[4,2,7,1,3,5,6]=>[5,3,1,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]
[6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6]=>[3,5,1,2,4,6,7]=>[[1,2,4,6,7],[3,5]]
[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>[5,2,3,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]
[6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6]=>[5,1,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]
[6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]=>[2,5,3,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]
[6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]=>[2,1,5,3,4,6,7]=>[[1,3,4,6,7],[2,5]]
[6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]=>[5,2,1,3,4,6,7]=>[[1,3,4,6,7],[2],[5]]
[6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]=>[2,5,1,3,4,6,7]=>[[1,3,4,6,7],[2,5]]
[6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]=>[3,2,5,4,6,7,1]=>[[1,4,6,7],[2,5],[3]]
[6,5,3,4,1,7,2]=>[2,7,1,4,3,5,6]=>[3,1,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]
[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[2,3,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]
[6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]=>[2,1,3,5,4,6,7]=>[[1,3,4,6,7],[2,5]]
[6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]=>[3,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3]]
[6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]=>[2,3,1,5,4,6,7]=>[[1,3,4,6,7],[2,5]]
[6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6]=>[5,3,2,1,4,6,7]=>[[1,4,6,7],[2],[3],[5]]
[6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6]=>[3,5,2,1,4,6,7]=>[[1,4,6,7],[2,5],[3]]
[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[5,2,3,1,4,6,7]=>[[1,3,4,6,7],[2],[5]]
[6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]=>[2,5,3,1,4,6,7]=>[[1,3,4,6,7],[2],[5]]
[6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6]=>[3,2,5,1,4,6,7]=>[[1,4,6,7],[2,5],[3]]
[6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]=>[2,3,5,1,4,6,7]=>[[1,3,4,6,7],[2,5]]
[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>[4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4]]
[6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6]=>[4,1,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]
[6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]=>[3,4,2,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]
[6,5,4,1,3,7,2]=>[2,7,3,1,4,5,6]=>[3,1,4,2,5,6,7]=>[[1,2,5,6,7],[3,4]]
[6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6]=>[4,3,1,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]
[6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]=>[3,4,1,2,5,6,7]=>[[1,2,5,6,7],[3,4]]
[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>[4,2,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4]]
[6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6]=>[4,1,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]
[6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]=>[2,4,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4]]
[6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]=>[2,1,4,3,5,6,7]=>[[1,3,5,6,7],[2,4]]
[6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]=>[4,2,1,3,5,6,7]=>[[1,3,5,6,7],[2],[4]]
[6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]=>[2,4,1,3,5,6,7]=>[[1,3,5,6,7],[2,4]]
[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]
[6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>[3,1,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]
[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2]]
[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]
[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>[3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]]
[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>[2,3,1,4,5,6,7]=>[[1,3,4,5,6,7],[2]]
[6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]
[6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]=>[3,4,2,1,5,6,7]=>[[1,4,5,6,7],[2],[3]]
[6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]=>[4,2,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]
[6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]=>[2,4,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]
[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>[3,2,4,1,5,6,7]=>[[1,4,5,6,7],[2],[3]]
[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>[2,3,4,1,5,6,7]=>[[1,3,4,5,6,7],[2]]
[6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]=>[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]
[6,5,7,1,2,4,3]=>[3,4,2,1,7,5,6]=>[4,5,3,2,1,6,7]=>[[1,5,6,7],[2],[3],[4]]
[6,5,7,1,3,2,4]=>[4,2,3,1,7,5,6]=>[5,3,4,2,1,6,7]=>[[1,4,6,7],[2],[3],[5]]
[6,5,7,1,3,4,2]=>[2,4,3,1,7,5,6]=>[3,5,4,2,1,6,7]=>[[1,4,6,7],[2],[3],[5]]
[6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6]=>[4,3,5,2,1,6,7]=>[[1,5,6,7],[2],[3],[4]]
[6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]=>[3,4,5,2,1,6,7]=>[[1,4,5,6,7],[2],[3]]
[6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]=>[5,4,2,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]
[6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6]=>[4,5,2,3,1,6,7]=>[[1,3,6,7],[2,5],[4]]
[6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]=>[5,2,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]
[6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]=>[2,5,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]
[6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]=>[4,2,5,3,1,6,7]=>[[1,3,6,7],[2,5],[4]]
[6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]=>[2,4,5,3,1,6,7]=>[[1,3,5,6,7],[2],[4]]
[6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]=>[5,3,2,4,1,6,7]=>[[1,4,6,7],[2],[3],[5]]
[6,5,7,3,1,4,2]=>[2,4,1,3,7,5,6]=>[3,5,2,4,1,6,7]=>[[1,4,6,7],[2,5],[3]]
[6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]=>[5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]
[6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]=>[2,5,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]
[6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]=>[3,2,5,4,1,6,7]=>[[1,4,6,7],[2,5],[3]]
[6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]=>[2,3,5,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]
[6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]=>[4,3,2,5,1,6,7]=>[[1,5,6,7],[2],[3],[4]]
[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[3,4,2,5,1,6,7]=>[[1,4,5,6,7],[2],[3]]
[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[4,2,3,5,1,6,7]=>[[1,3,5,6,7],[2],[4]]
[6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]=>[2,4,3,5,1,6,7]=>[[1,3,5,6,7],[2],[4]]
[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>[3,2,4,5,1,6,7]=>[[1,4,5,6,7],[2],[3]]
[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>[2,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2]]
[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]
[6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6]=>[5,6,4,3,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]
[6,7,1,2,4,3,5]=>[5,3,4,2,1,7,6]=>[6,4,5,3,2,1,7]=>[[1,5,7],[2],[3],[4],[6]]
[6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6]=>[4,6,5,3,2,1,7]=>[[1,5,7],[2],[3],[4],[6]]
[6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6]=>[5,4,6,3,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]
[6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6]=>[4,5,6,3,2,1,7]=>[[1,5,6,7],[2],[3],[4]]
[6,7,1,3,2,4,5]=>[5,4,2,3,1,7,6]=>[6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]
[6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6]=>[5,6,3,4,2,1,7]=>[[1,4,7],[2,6],[3],[5]]
[6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6]=>[6,3,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]
[6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6]=>[3,6,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]
[6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6]=>[5,3,6,4,2,1,7]=>[[1,4,7],[2,6],[3],[5]]
[6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6]=>[3,5,6,4,2,1,7]=>[[1,4,6,7],[2],[3],[5]]
[6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6]=>[6,4,3,5,2,1,7]=>[[1,5,7],[2],[3],[4],[6]]
[6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6]=>[4,6,3,5,2,1,7]=>[[1,5,7],[2,6],[3],[4]]
[6,7,1,4,3,2,5]=>[5,2,3,4,1,7,6]=>[6,3,4,5,2,1,7]=>[[1,4,5,7],[2],[3],[6]]
[6,7,1,4,3,5,2]=>[2,5,3,4,1,7,6]=>[3,6,4,5,2,1,7]=>[[1,4,5,7],[2],[3],[6]]
[6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6]=>[4,3,6,5,2,1,7]=>[[1,5,7],[2,6],[3],[4]]
[6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6]=>[3,4,6,5,2,1,7]=>[[1,4,5,7],[2],[3],[6]]
[6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6]=>[5,4,3,6,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]
[6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]=>[4,5,3,6,2,1,7]=>[[1,5,6,7],[2],[3],[4]]
[6,7,1,5,3,2,4]=>[4,2,3,5,1,7,6]=>[5,3,4,6,2,1,7]=>[[1,4,6,7],[2],[3],[5]]
[6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]=>[3,5,4,6,2,1,7]=>[[1,4,6,7],[2],[3],[5]]
[6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6]=>[4,3,5,6,2,1,7]=>[[1,5,6,7],[2],[3],[4]]
[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]=>[3,4,5,6,2,1,7]=>[[1,4,5,6,7],[2],[3]]
[6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]=>[6,5,4,2,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]
[6,7,2,1,3,5,4]=>[4,5,3,1,2,7,6]=>[5,6,4,2,3,1,7]=>[[1,3,7],[2,6],[4],[5]]
[6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6]=>[6,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]
[6,7,2,1,4,5,3]=>[3,5,4,1,2,7,6]=>[4,6,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]
[6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6]=>[5,4,6,2,3,1,7]=>[[1,3,7],[2,6],[4],[5]]
[6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6]=>[4,5,6,2,3,1,7]=>[[1,3,6,7],[2,5],[4]]
[6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]=>[6,5,2,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]
[6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6]=>[5,6,2,4,3,1,7]=>[[1,3,7],[2,6],[4],[5]]
[6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]=>[6,2,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]
[6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]
[6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6]=>[5,2,6,4,3,1,7]=>[[1,3,7],[2,6],[4],[5]]
[6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6]=>[2,5,6,4,3,1,7]=>[[1,3,6,7],[2],[4],[5]]
[6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6]=>[6,4,2,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]
[6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6]=>[4,6,2,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]
[6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6]=>[6,2,4,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]
[6,7,2,4,3,5,1]=>[1,5,3,4,2,7,6]=>[2,6,4,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]
[6,7,2,4,5,1,3]=>[3,1,5,4,2,7,6]=>[4,2,6,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]
[6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6]=>[2,4,6,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]
[6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6]=>[5,4,2,6,3,1,7]=>[[1,3,7],[2,6],[4],[5]]
[6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]=>[4,5,2,6,3,1,7]=>[[1,3,6,7],[2,5],[4]]
[6,7,2,5,3,1,4]=>[4,1,3,5,2,7,6]=>[5,2,4,6,3,1,7]=>[[1,3,6,7],[2],[4],[5]]
[6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]=>[2,5,4,6,3,1,7]=>[[1,3,6,7],[2],[4],[5]]
[6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6]=>[4,2,5,6,3,1,7]=>[[1,3,6,7],[2,5],[4]]
[6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]=>[2,4,5,6,3,1,7]=>[[1,3,5,6,7],[2],[4]]
[6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]=>[6,5,3,2,4,1,7]=>[[1,4,7],[2],[3],[5],[6]]
[6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6]=>[5,6,3,2,4,1,7]=>[[1,4,7],[2,6],[3],[5]]
[6,7,3,1,4,2,5]=>[5,2,4,1,3,7,6]=>[6,3,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6]]
[6,7,3,1,4,5,2]=>[2,5,4,1,3,7,6]=>[3,6,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6]]
[6,7,3,1,5,2,4]=>[4,2,5,1,3,7,6]=>[5,3,6,2,4,1,7]=>[[1,4,7],[2,6],[3],[5]]
[6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6]=>[3,5,6,2,4,1,7]=>[[1,4,6,7],[2,5],[3]]
[6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]=>[6,5,2,3,4,1,7]=>[[1,3,4,7],[2],[5],[6]]
[6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6]=>[5,6,2,3,4,1,7]=>[[1,3,4,7],[2,6],[5]]
[6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]=>[6,2,5,3,4,1,7]=>[[1,3,4,7],[2],[5],[6]]
[6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]=>[2,6,5,3,4,1,7]=>[[1,3,4,7],[2],[5],[6]]
[6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6]=>[5,2,6,3,4,1,7]=>[[1,3,4,7],[2,6],[5]]
[6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6]=>[2,5,6,3,4,1,7]=>[[1,3,4,7],[2,6],[5]]
[6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]=>[6,3,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]
[6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6]=>[3,6,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]
[6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]=>[6,2,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]
[6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]=>[2,6,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]
[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[3,2,6,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]
[6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]
[6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6]=>[5,3,2,6,4,1,7]=>[[1,4,7],[2,6],[3],[5]]
[6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]=>[3,5,2,6,4,1,7]=>[[1,4,6,7],[2,5],[3]]
[6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6]=>[5,2,3,6,4,1,7]=>[[1,3,4,7],[2,6],[5]]
[6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]=>[2,5,3,6,4,1,7]=>[[1,3,4,7],[2,6],[5]]
[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[3,2,5,6,4,1,7]=>[[1,4,6,7],[2,5],[3]]
[6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]=>[2,3,5,6,4,1,7]=>[[1,3,4,6,7],[2],[5]]
[6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]=>[6,4,3,2,5,1,7]=>[[1,5,7],[2],[3],[4],[6]]
[6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6]=>[4,6,3,2,5,1,7]=>[[1,5,7],[2,6],[3],[4]]
[6,7,4,1,3,2,5]=>[5,2,3,1,4,7,6]=>[6,3,4,2,5,1,7]=>[[1,4,5,7],[2],[3],[6]]
[6,7,4,1,3,5,2]=>[2,5,3,1,4,7,6]=>[3,6,4,2,5,1,7]=>[[1,4,5,7],[2],[3],[6]]
[6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6]=>[4,3,6,2,5,1,7]=>[[1,5,7],[2,6],[3],[4]]
[6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6]=>[3,4,6,2,5,1,7]=>[[1,4,5,7],[2,6],[3]]
[6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]=>[6,4,2,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]
[6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6]=>[4,6,2,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]
[6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]=>[6,2,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]
[6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]=>[2,6,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]
[6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6]=>[4,2,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]
[6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6]=>[2,4,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]
[6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]=>[6,3,2,4,5,1,7]=>[[1,4,5,7],[2],[3],[6]]
[6,7,4,3,1,5,2]=>[2,5,1,3,4,7,6]=>[3,6,2,4,5,1,7]=>[[1,4,5,7],[2,6],[3]]
[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>[6,2,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]
[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>[2,6,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]
[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[3,2,6,4,5,1,7]=>[[1,4,5,7],[2,6],[3]]
[6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]=>[2,3,6,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]
[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>[4,3,2,6,5,1,7]=>[[1,5,7],[2,6],[3],[4]]
[6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]=>[3,4,2,6,5,1,7]=>[[1,4,5,7],[2,6],[3]]
[6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]=>[4,2,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4]]
[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4]]
[6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]=>[3,2,4,6,5,1,7]=>[[1,4,5,7],[2,6],[3]]
[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[[1,3,4,5,7],[2],[6]]
[6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]=>[5,4,3,2,6,1,7]=>[[1,6,7],[2],[3],[4],[5]]
[6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]=>[4,5,3,2,6,1,7]=>[[1,5,6,7],[2],[3],[4]]
[6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6]=>[5,3,4,2,6,1,7]=>[[1,4,6,7],[2],[3],[5]]
[6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]=>[3,5,4,2,6,1,7]=>[[1,4,6,7],[2],[3],[5]]
[6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6]=>[4,3,5,2,6,1,7]=>[[1,5,6,7],[2],[3],[4]]
[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]=>[3,4,5,2,6,1,7]=>[[1,4,5,6,7],[2],[3]]
[6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]=>[5,4,2,3,6,1,7]=>[[1,3,6,7],[2],[4],[5]]
[6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6]=>[4,5,2,3,6,1,7]=>[[1,3,6,7],[2,5],[4]]
[6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]=>[5,2,4,3,6,1,7]=>[[1,3,6,7],[2],[4],[5]]
[6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>[[1,3,6,7],[2],[4],[5]]
[6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6]=>[4,2,5,3,6,1,7]=>[[1,3,6,7],[2,5],[4]]
[6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]=>[2,4,5,3,6,1,7]=>[[1,3,5,6,7],[2],[4]]
[6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]=>[5,3,2,4,6,1,7]=>[[1,4,6,7],[2],[3],[5]]
[6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6]=>[3,5,2,4,6,1,7]=>[[1,4,6,7],[2,5],[3]]
[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>[5,2,3,4,6,1,7]=>[[1,3,4,6,7],[2],[5]]
[6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]=>[2,5,3,4,6,1,7]=>[[1,3,4,6,7],[2],[5]]
[6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]=>[3,2,5,4,6,1,7]=>[[1,4,6,7],[2,5],[3]]
[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[[1,3,4,6,7],[2],[5]]
[6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]=>[4,3,2,5,6,1,7]=>[[1,5,6,7],[2],[3],[4]]
[6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]=>[3,4,2,5,6,1,7]=>[[1,4,5,6,7],[2],[3]]
[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>[4,2,3,5,6,1,7]=>[[1,3,5,6,7],[2],[4]]
[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[[1,3,5,6,7],[2],[4]]
[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[3,2,4,5,6,1,7]=>[[1,4,5,6,7],[2],[3]]
[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[[1,3,4,5,6,7],[2]]
[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]
[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]=>[1,6,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]
[7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7]=>[1,7,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]
[7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]=>[1,5,7,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]
[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]=>[1,6,5,7,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]
[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>[1,5,6,7,4,3,2]=>[[1,2,6,7],[3],[4],[5]]
[7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]=>[1,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]
[7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7]=>[1,6,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6]]
[7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]=>[1,7,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]
[7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]=>[1,4,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]
[7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7]=>[1,6,4,7,5,3,2]=>[[1,2,5],[3,7],[4],[6]]
[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>[1,4,6,7,5,3,2]=>[[1,2,5,7],[3],[4],[6]]
[7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]=>[1,7,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7]]
[7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7]=>[1,5,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5]]
[7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]=>[1,7,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7]]
[7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7]=>[1,4,7,5,6,3,2]=>[[1,2,5,6],[3],[4],[7]]
[7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]=>[1,5,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5]]
[7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]=>[1,4,5,7,6,3,2]=>[[1,2,5,6],[3],[4],[7]]
[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]=>[1,6,5,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6]]
[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>[1,5,6,4,7,3,2]=>[[1,2,6,7],[3],[4],[5]]
[7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7]=>[1,6,4,5,7,3,2]=>[[1,2,5,7],[3],[4],[6]]
[7,1,2,6,4,5,3]=>[3,5,4,6,2,1,7]=>[1,4,6,5,7,3,2]=>[[1,2,5,7],[3],[4],[6]]
[7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7]=>[1,5,4,6,7,3,2]=>[[1,2,6,7],[3],[4],[5]]
[7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]=>[1,4,5,6,7,3,2]=>[[1,2,5,6,7],[3],[4]]
[7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]=>[1,7,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]
[7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7]=>[1,6,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6]]
[7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7]=>[1,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]
[7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7]=>[1,5,7,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]
[7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7]=>[1,6,5,7,3,4,2]=>[[1,2,4],[3,7],[5],[6]]
[7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]=>[1,5,6,7,3,4,2]=>[[1,2,4,7],[3,6],[5]]
[7,1,3,4,2,5,6]=>[6,5,2,4,3,1,7]=>[1,7,6,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]
[7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7]=>[1,6,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]
[7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]=>[1,7,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]
[7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]=>[1,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]
[7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7]=>[1,6,3,7,5,4,2]=>[[1,2,4],[3,7],[5],[6]]
[7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]=>[1,3,6,7,5,4,2]=>[[1,2,4,7],[3],[5],[6]]
[7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7]=>[1,7,5,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]
[7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7]=>[1,5,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]
[7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7]=>[1,7,3,5,6,4,2]=>[[1,2,4,6],[3],[5],[7]]
[7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7]=>[1,3,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7]]
[7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7]=>[1,5,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7]]
[7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]=>[1,3,5,7,6,4,2]=>[[1,2,4,6],[3],[5],[7]]
[7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7]=>[1,6,5,3,7,4,2]=>[[1,2,4],[3,7],[5],[6]]
[7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7]=>[1,5,6,3,7,4,2]=>[[1,2,4,7],[3,6],[5]]
[7,1,3,6,4,2,5]=>[5,2,4,6,3,1,7]=>[1,6,3,5,7,4,2]=>[[1,2,4,7],[3],[5],[6]]
[7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]=>[1,3,6,5,7,4,2]=>[[1,2,4,7],[3],[5],[6]]
[7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7]=>[1,5,3,6,7,4,2]=>[[1,2,4,7],[3,6],[5]]
[7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7]=>[1,3,5,6,7,4,2]=>[[1,2,4,6,7],[3],[5]]
[7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]=>[1,7,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]
[7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7]=>[1,6,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]
[7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7]=>[1,7,4,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]
[7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7]=>[1,4,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]
[7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7]=>[1,6,4,7,3,5,2]=>[[1,2,5],[3,7],[4],[6]]
[7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7]=>[1,4,6,7,3,5,2]=>[[1,2,5,7],[3,6],[4]]
[7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7]=>[1,7,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]
[7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7]=>[1,6,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]
[7,1,4,3,5,2,6]=>[6,2,5,3,4,1,7]=>[1,7,3,6,4,5,2]=>[[1,2,4,5],[3],[6],[7]]
[7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7]=>[1,3,7,6,4,5,2]=>[[1,2,4,5],[3],[6],[7]]
[7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7]=>[1,6,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6]]
[7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7]=>[1,3,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6]]
[7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]=>[1,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]
[7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7]=>[1,4,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]
[7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7]=>[1,7,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]
[7,1,4,5,3,6,2]=>[2,6,3,5,4,1,7]=>[1,3,7,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]
[7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7]=>[1,4,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7]]
[7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]=>[1,3,4,7,6,5,2]=>[[1,2,4,5],[3],[6],[7]]
[7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7]=>[1,6,4,3,7,5,2]=>[[1,2,5],[3,7],[4],[6]]
[7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7]=>[1,4,6,3,7,5,2]=>[[1,2,5,7],[3,6],[4]]
[7,1,4,6,3,2,5]=>[5,2,3,6,4,1,7]=>[1,6,3,4,7,5,2]=>[[1,2,4,5],[3,7],[6]]
[7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7]=>[1,3,6,4,7,5,2]=>[[1,2,4,5],[3,7],[6]]
[7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7]=>[1,4,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4]]
[7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7]=>[1,3,4,6,7,5,2]=>[[1,2,4,5,7],[3],[6]]
[7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]=>[1,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]
[7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7]=>[1,5,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5]]
[7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]=>[1,7,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]
[7,1,5,2,4,6,3]=>[3,6,4,2,5,1,7]=>[1,4,7,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]
[7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7]=>[1,5,4,7,3,6,2]=>[[1,2,6],[3,7],[4],[5]]
[7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7]=>[1,4,5,7,3,6,2]=>[[1,2,5,6],[3,7],[4]]
[7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7]=>[1,7,5,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]
[7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7]=>[1,5,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5]]
[7,1,5,3,4,2,6]=>[6,2,4,3,5,1,7]=>[1,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]
[7,1,5,3,4,6,2]=>[2,6,4,3,5,1,7]=>[1,3,7,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]
[7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7]=>[1,5,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5]]
[7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7]=>[1,3,5,7,4,6,2]=>[[1,2,4,6],[3,7],[5]]
[7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7]=>[1,7,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]
[7,1,5,4,2,6,3]=>[3,6,2,4,5,1,7]=>[1,4,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4]]
[7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7]=>[1,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]
[7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7]=>[1,3,7,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]
[7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7]=>[1,4,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4]]
[7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7]=>[1,3,4,7,5,6,2]=>[[1,2,4,5,6],[3],[7]]
[7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]=>[1,5,4,3,7,6,2]=>[[1,2,6],[3,7],[4],[5]]
[7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]=>[1,4,5,3,7,6,2]=>[[1,2,5,6],[3,7],[4]]
[7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7]=>[1,5,3,4,7,6,2]=>[[1,2,4,6],[3,7],[5]]
[7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]=>[1,3,5,4,7,6,2]=>[[1,2,4,6],[3,7],[5]]
[7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7]=>[1,4,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4]]
[7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]=>[1,3,4,5,7,6,2]=>[[1,2,4,5,6],[3],[7]]
[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]=>[1,6,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]
[7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]=>[1,5,6,4,3,7,2]=>[[1,2,6,7],[3],[4],[5]]
[7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7]=>[1,6,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6]]
[7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7]=>[1,4,6,5,3,7,2]=>[[1,2,5,7],[3],[4],[6]]
[7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7]=>[1,5,4,6,3,7,2]=>[[1,2,6,7],[3],[4],[5]]
[7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7]=>[1,4,5,6,3,7,2]=>[[1,2,5,6,7],[3],[4]]
[7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7]=>[1,6,5,3,4,7,2]=>[[1,2,4,7],[3],[5],[6]]
[7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7]=>[1,5,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5]]
[7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7]=>[1,6,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6]]
[7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]=>[1,3,6,5,4,7,2]=>[[1,2,4,7],[3],[5],[6]]
[7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7]=>[1,5,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5]]
[7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]=>[1,3,5,6,4,7,2]=>[[1,2,4,6,7],[3],[5]]
[7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7]=>[1,6,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6]]
[7,1,6,4,2,5,3]=>[3,5,2,4,6,1,7]=>[1,4,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4]]
[7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7]=>[1,6,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6]]
[7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7]=>[1,3,6,4,5,7,2]=>[[1,2,4,5,7],[3],[6]]
[7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7]=>[1,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4]]
[7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7]=>[1,3,4,6,5,7,2]=>[[1,2,4,5,7],[3],[6]]
[7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]=>[1,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5]]
[7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]=>[1,4,5,3,6,7,2]=>[[1,2,5,6,7],[3],[4]]
[7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7]=>[1,5,3,4,6,7,2]=>[[1,2,4,6,7],[3],[5]]
[7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7]=>[1,3,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5]]
[7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7]=>[1,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4]]
[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]=>[1,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3]]
[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>[1,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]
[7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7]=>[1,6,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]
[7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7]=>[1,7,5,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]
[7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7]=>[1,5,7,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]
[7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7]=>[1,6,5,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]
[7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]=>[1,5,6,7,4,2,3]=>[[1,2,3,7],[4,6],[5]]
[7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7]=>[1,7,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]
[7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]=>[1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]
[7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7]=>[1,7,4,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]
[7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7]=>[1,4,7,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]
[7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7]=>[1,6,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7]]
[7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7]=>[1,4,6,7,5,2,3]=>[[1,2,3,7],[4,5],[6]]
[7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7]=>[1,7,5,4,6,2,3]=>[[1,2,3],[4,6],[5],[7]]
[7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7]=>[1,5,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7]]
[7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7]=>[1,7,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7]]
[7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7]=>[1,4,7,5,6,2,3]=>[[1,2,3,6],[4,5],[7]]
[7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7]=>[1,5,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]
[7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7]=>[1,4,5,7,6,2,3]=>[[1,2,3,6],[4,5],[7]]
[7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7]=>[1,6,5,4,7,2,3]=>[[1,2,3],[4,7],[5],[6]]
[7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]=>[1,5,6,4,7,2,3]=>[[1,2,3,7],[4,6],[5]]
[7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7]=>[1,6,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6]]
[7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7]=>[1,4,6,5,7,2,3]=>[[1,2,3,7],[4,5],[6]]
[7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7]=>[1,5,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5]]
[7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]=>[1,4,5,6,7,2,3]=>[[1,2,3,6,7],[4,5]]
[7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]=>[1,7,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]
[7,2,3,1,4,6,5]=>[5,6,4,1,3,2,7]=>[1,6,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]
[7,2,3,1,5,4,6]=>[6,4,5,1,3,2,7]=>[1,7,5,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]
[7,2,3,1,5,6,4]=>[4,6,5,1,3,2,7]=>[1,5,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]
[7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7]=>[1,6,5,7,2,4,3]=>[[1,2,3],[4,7],[5],[6]]
[7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7]=>[1,5,6,7,2,4,3]=>[[1,2,3,7],[4,6],[5]]
[7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]=>[1,7,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]
[7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7]=>[1,6,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6]]
[7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]=>[1,7,2,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]
[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[1,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]
[7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7]=>[1,6,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6]]
[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[1,2,6,7,5,4,3]=>[[1,2,3,7],[4],[5],[6]]
[7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7]=>[1,7,5,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]
[7,2,3,5,1,6,4]=>[4,6,1,5,3,2,7]=>[1,5,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]
[7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7]=>[1,7,2,5,6,4,3]=>[[1,2,3,6],[4],[5],[7]]
[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[1,2,7,5,6,4,3]=>[[1,2,3,6],[4],[5],[7]]
[7,2,3,5,6,1,4]=>[4,1,6,5,3,2,7]=>[1,5,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7]]
[7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]=>[1,2,5,7,6,4,3]=>[[1,2,3,6],[4],[5],[7]]
[7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7]=>[1,6,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]
[7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7]=>[1,5,6,2,7,4,3]=>[[1,2,3,7],[4,6],[5]]
[7,2,3,6,4,1,5]=>[5,1,4,6,3,2,7]=>[1,6,2,5,7,4,3]=>[[1,2,3,7],[4],[5],[6]]
[7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]=>[1,2,6,5,7,4,3]=>[[1,2,3,7],[4],[5],[6]]
[7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7]=>[1,5,2,6,7,4,3]=>[[1,2,3,7],[4,6],[5]]
[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[1,2,5,6,7,4,3]=>[[1,2,3,6,7],[4],[5]]
[7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]=>[1,7,6,4,2,5,3]=>[[1,2,3],[4,5],[6],[7]]
[7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7]=>[1,6,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]
[7,2,4,1,5,3,6]=>[6,3,5,1,4,2,7]=>[1,7,4,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]
[7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7]=>[1,4,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]
[7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7]=>[1,6,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]
[7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7]=>[1,4,6,7,2,5,3]=>[[1,2,3,7],[4,5],[6]]
[7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7]=>[1,7,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]
[7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7]=>[1,6,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]
[7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7]=>[1,7,2,6,4,5,3]=>[[1,2,3,5],[4],[6],[7]]
[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[1,2,7,6,4,5,3]=>[[1,2,3,5],[4],[6],[7]]
[7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7]=>[1,6,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6]]
[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[1,2,6,7,4,5,3]=>[[1,2,3,5],[4,7],[6]]
[7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7]=>[1,7,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]
[7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7]=>[1,4,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]
[7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7]=>[1,7,2,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]
[7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7]=>[1,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]
[7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7]=>[1,4,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7]]
[7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]=>[1,2,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7]]
[7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]=>[1,6,4,2,7,5,3]=>[[1,2,3],[4,5],[6,7]]
[7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7]=>[1,4,6,2,7,5,3]=>[[1,2,3,7],[4,5],[6]]
[7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7]=>[1,6,2,4,7,5,3]=>[[1,2,3,5],[4,7],[6]]
[7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7]=>[1,2,6,4,7,5,3]=>[[1,2,3,5],[4,7],[6]]
[7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7]=>[1,4,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6]]
[7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]=>[1,2,4,6,7,5,3]=>[[1,2,3,5,7],[4],[6]]
[7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]=>[1,7,5,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]
[7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7]=>[1,5,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]
[7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7]=>[1,7,4,5,2,6,3]=>[[1,2,3,6],[4,5],[7]]
[7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7]=>[1,4,7,5,2,6,3]=>[[1,2,3,6],[4,5],[7]]
[7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7]=>[1,5,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]
[7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7]=>[1,4,5,7,2,6,3]=>[[1,2,3,6],[4,5],[7]]
[7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7]=>[1,7,5,2,4,6,3]=>[[1,2,3,6],[4],[5],[7]]
[7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7]=>[1,5,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5]]
[7,2,5,3,4,1,6]=>[6,1,4,3,5,2,7]=>[1,7,2,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]
[7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7]=>[1,2,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]
[7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7]=>[1,5,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5]]
[7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7]=>[1,2,5,7,4,6,3]=>[[1,2,3,6],[4,7],[5]]
[7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7]=>[1,7,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]
[7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7]=>[1,4,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]
[7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7]=>[1,7,2,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]
[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[1,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]
[7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7]=>[1,4,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7]]
[7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7]=>[1,2,4,7,5,6,3]=>[[1,2,3,5,6],[4],[7]]
[7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7]=>[1,5,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]
[7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7]=>[1,4,5,2,7,6,3]=>[[1,2,3,6],[4,5],[7]]
[7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7]=>[1,5,2,4,7,6,3]=>[[1,2,3,6],[4,7],[5]]
[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[1,2,5,4,7,6,3]=>[[1,2,3,6],[4,7],[5]]
[7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7]=>[1,4,2,5,7,6,3]=>[[1,2,3,6],[4,5],[7]]
[7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]=>[1,2,4,5,7,6,3]=>[[1,2,3,5,6],[4],[7]]
[7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]=>[1,6,5,4,2,7,3]=>[[1,2,3],[4,7],[5],[6]]
[7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7]=>[1,5,6,4,2,7,3]=>[[1,2,3,7],[4,6],[5]]
[7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7]=>[1,6,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6]]
[7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7]=>[1,4,6,5,2,7,3]=>[[1,2,3,7],[4,5],[6]]
[7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7]=>[1,5,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5]]
[7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7]=>[1,4,5,6,2,7,3]=>[[1,2,3,6,7],[4,5]]
[7,2,6,3,1,4,5]=>[5,4,1,3,6,2,7]=>[1,6,5,2,4,7,3]=>[[1,2,3,7],[4],[5],[6]]
[7,2,6,3,1,5,4]=>[4,5,1,3,6,2,7]=>[1,5,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]
[7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7]=>[1,6,2,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]
[7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]=>[1,2,6,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]
[7,2,6,3,5,1,4]=>[4,1,5,3,6,2,7]=>[1,5,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5]]
[7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]=>[1,2,5,6,4,7,3]=>[[1,2,3,6,7],[4],[5]]
[7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7]=>[1,6,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]
[7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7]=>[1,4,6,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]
[7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7]=>[1,6,2,4,5,7,3]=>[[1,2,3,5,7],[4],[6]]
[7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7]=>[1,2,6,4,5,7,3]=>[[1,2,3,5,7],[4],[6]]
[7,2,6,4,5,1,3]=>[3,1,5,4,6,2,7]=>[1,4,2,6,5,7,3]=>[[1,2,3,7],[4,5],[6]]
[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[1,2,4,6,5,7,3]=>[[1,2,3,5,7],[4],[6]]
[7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7]=>[1,5,4,2,6,7,3]=>[[1,2,3,7],[4,6],[5]]
[7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7]=>[1,4,5,2,6,7,3]=>[[1,2,3,6,7],[4,5]]
[7,2,6,5,3,1,4]=>[4,1,3,5,6,2,7]=>[1,5,2,4,6,7,3]=>[[1,2,3,6,7],[4],[5]]
[7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]=>[1,2,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5]]
[7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7]=>[1,4,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]
[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[1,2,4,5,6,7,3]=>[[1,2,3,5,6,7],[4]]
[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>[1,7,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]
[7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7]=>[1,6,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]
[7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7]=>[1,7,5,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]
[7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7]=>[1,5,7,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]
[7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7]=>[1,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]
[7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]=>[1,5,6,7,3,2,4]=>[[1,2,4,7],[3,6],[5]]
[7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7]=>[1,7,6,3,5,2,4]=>[[1,2,4],[3,5],[6],[7]]
[7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7]=>[1,6,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]
[7,3,1,4,5,2,6]=>[6,2,5,4,1,3,7]=>[1,7,3,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]
[7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7]=>[1,3,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]
[7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7]=>[1,6,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]
[7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7]=>[1,3,6,7,5,2,4]=>[[1,2,4,7],[3,5],[6]]
[7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7]=>[1,7,5,3,6,2,4]=>[[1,2,4],[3,6],[5],[7]]
[7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7]=>[1,5,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]
[7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7]=>[1,7,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]
[7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7]=>[1,3,7,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]
[7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7]=>[1,5,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]
[7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7]=>[1,3,5,7,6,2,4]=>[[1,2,4,6],[3,5],[7]]
[7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7]=>[1,6,5,3,7,2,4]=>[[1,2,4],[3,7],[5],[6]]
[7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7]=>[1,5,6,3,7,2,4]=>[[1,2,4,7],[3,6],[5]]
[7,3,1,6,4,2,5]=>[5,2,4,6,1,3,7]=>[1,6,3,5,7,2,4]=>[[1,2,4,7],[3,5],[6]]
[7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7]=>[1,3,6,5,7,2,4]=>[[1,2,4,7],[3,5],[6]]
[7,3,1,6,5,2,4]=>[4,2,5,6,1,3,7]=>[1,5,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5]]
[7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7]=>[1,3,5,6,7,2,4]=>[[1,2,4,6,7],[3,5]]
[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>[1,7,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7]]
[7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7]=>[1,6,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7]=>[1,7,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7]=>[1,5,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7]=>[1,6,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]=>[1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7]]
[7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]=>[1,7,6,2,5,3,4]=>[[1,2,3,4],[5],[6],[7]]
[7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7]=>[1,6,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]=>[1,7,2,6,5,3,4]=>[[1,2,3,4],[5],[6],[7]]
[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[1,2,7,6,5,3,4]=>[[1,2,3,4],[5],[6],[7]]
[7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7]=>[1,6,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[1,2,6,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7]=>[1,7,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,2,5,1,6,4]=>[4,6,1,5,2,3,7]=>[1,5,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,2,5,4,1,6]=>[6,1,4,5,2,3,7]=>[1,7,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[1,2,7,5,6,3,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7]=>[1,5,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7]=>[1,2,5,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7]=>[1,6,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]=>[1,5,6,2,7,3,4]=>[[1,2,3,4],[5,6,7]]
[7,3,2,6,4,1,5]=>[5,1,4,6,2,3,7]=>[1,6,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7]=>[1,2,6,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7]=>[1,5,2,6,7,3,4]=>[[1,2,3,4],[5,6,7]]
[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[1,2,5,6,7,3,4]=>[[1,2,3,4,7],[5,6]]
[7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]=>[1,7,6,3,2,5,4]=>[[1,2,4],[3,5],[6],[7]]
[7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7]=>[1,6,7,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]
[7,3,4,1,5,2,6]=>[6,2,5,1,4,3,7]=>[1,7,3,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]
[7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7]=>[1,3,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]
[7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7]=>[1,6,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]
[7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7]=>[1,3,6,7,2,5,4]=>[[1,2,4,7],[3,5],[6]]
[7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]=>[1,7,6,2,3,5,4]=>[[1,2,3,4],[5],[6],[7]]
[7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7]=>[1,6,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]=>[1,7,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]
[7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]=>[1,2,7,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]
[7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7]=>[1,6,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7]=>[1,2,6,7,3,5,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]=>[1,7,3,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]
[7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7]=>[1,3,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]
[7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]=>[1,7,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]
[7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]=>[1,2,7,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]
[7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]=>[1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]
[7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]=>[1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]
[7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7]=>[1,6,3,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]
[7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7]=>[1,3,6,2,7,5,4]=>[[1,2,4,7],[3,5],[6]]
[7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7]=>[1,6,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7]=>[1,2,6,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7]=>[1,3,2,6,7,5,4]=>[[1,2,4,7],[3,5],[6]]
[7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]=>[1,2,3,6,7,5,4]=>[[1,2,3,4,7],[5],[6]]
[7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]=>[1,7,5,3,2,6,4]=>[[1,2,4],[3,6],[5],[7]]
[7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7]=>[1,5,7,3,2,6,4]=>[[1,2,4],[3,6],[5,7]]
[7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7]=>[1,7,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7]]
[7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7]=>[1,3,7,5,2,6,4]=>[[1,2,4,6],[3,5],[7]]
[7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7]=>[1,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]
[7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7]=>[1,3,5,7,2,6,4]=>[[1,2,4,6],[3,5],[7]]
[7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7]=>[1,7,5,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7]=>[1,5,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7]=>[1,7,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7]=>[1,2,7,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7]=>[1,5,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7]=>[1,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7]=>[1,7,3,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]
[7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7]=>[1,3,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]
[7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7]=>[1,7,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7]]
[7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7]=>[1,2,7,3,5,6,4]=>[[1,2,3,4,6],[5],[7]]
[7,3,5,4,6,1,2]=>[2,1,6,4,5,3,7]=>[1,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]
[7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7]=>[1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]
[7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]=>[1,5,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]
[7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7]=>[1,3,5,2,7,6,4]=>[[1,2,4,6],[3,5],[7]]
[7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7]=>[1,5,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7]=>[1,2,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]
[7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7]=>[1,3,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7]]
[7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]=>[1,2,3,5,7,6,4]=>[[1,2,3,4,6],[5],[7]]
[7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]=>[1,6,5,3,2,7,4]=>[[1,2,4],[3,7],[5],[6]]
[7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7]=>[1,5,6,3,2,7,4]=>[[1,2,4,7],[3,6],[5]]
[7,3,6,1,4,2,5]=>[5,2,4,1,6,3,7]=>[1,6,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6]]
[7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7]=>[1,3,6,5,2,7,4]=>[[1,2,4,7],[3,5],[6]]
[7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7]=>[1,5,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5]]
[7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]=>[1,3,5,6,2,7,4]=>[[1,2,4,6,7],[3,5]]
[7,3,6,2,1,4,5]=>[5,4,1,2,6,3,7]=>[1,6,5,2,3,7,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7]=>[1,5,6,2,3,7,4]=>[[1,2,3,4],[5,6,7]]
[7,3,6,2,4,1,5]=>[5,1,4,2,6,3,7]=>[1,6,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7]=>[1,2,6,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]
[7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4]=>[[1,2,3,4],[5,6,7]]
[7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]=>[1,2,5,6,3,7,4]=>[[1,2,3,4,7],[5,6]]
[7,3,6,4,1,2,5]=>[5,2,1,4,6,3,7]=>[1,6,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]
[7,3,6,4,1,5,2]=>[2,5,1,4,6,3,7]=>[1,3,6,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]
[7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7]=>[1,6,2,3,5,7,4]=>[[1,2,3,4,7],[5],[6]]
[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[1,2,6,3,5,7,4]=>[[1,2,3,4,7],[5],[6]]
[7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7]=>[1,3,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6]]
[7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]=>[1,2,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6]]
[7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7]=>[1,5,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5]]
[7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7]=>[1,3,5,2,6,7,4]=>[[1,2,4,6,7],[3,5]]
[7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7]=>[1,5,2,3,6,7,4]=>[[1,2,3,4,7],[5,6]]
[7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]=>[1,2,5,3,6,7,4]=>[[1,2,3,4,7],[5,6]]
[7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7]=>[1,3,2,5,6,7,4]=>[[1,2,4,6,7],[3,5]]
[7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]=>[1,2,3,5,6,7,4]=>[[1,2,3,4,6,7],[5]]
[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>[1,7,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]
[7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7]=>[1,6,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]
[7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7]=>[1,7,4,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]
[7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7]=>[1,4,7,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]
[7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7]=>[1,6,4,7,3,2,5]=>[[1,2,5],[3,7],[4],[6]]
[7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7]=>[1,4,6,7,3,2,5]=>[[1,2,5,7],[3,6],[4]]
[7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7]=>[1,7,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]
[7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7]=>[1,6,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6]]
[7,4,1,3,5,2,6]=>[6,2,5,3,1,4,7]=>[1,7,3,6,4,2,5]=>[[1,2,4,5],[3],[6],[7]]
[7,4,1,3,5,6,2]=>[2,6,5,3,1,4,7]=>[1,3,7,6,4,2,5]=>[[1,2,4,5],[3],[6],[7]]
[7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7]=>[1,6,3,7,4,2,5]=>[[1,2,4,5],[3,7],[6]]
[7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7]=>[1,3,6,7,4,2,5]=>[[1,2,4,5],[3,7],[6]]
[7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7]=>[1,7,4,3,6,2,5]=>[[1,2,5],[3,6],[4],[7]]
[7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7]=>[1,4,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]
[7,4,1,5,3,2,6]=>[6,2,3,5,1,4,7]=>[1,7,3,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,1,5,3,6,2]=>[2,6,3,5,1,4,7]=>[1,3,7,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,1,5,6,2,3]=>[3,2,6,5,1,4,7]=>[1,4,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]
[7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7]=>[1,3,4,7,6,2,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]=>[1,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]
[7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7]=>[1,4,6,3,7,2,5]=>[[1,2,5,7],[3,6],[4]]
[7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7]=>[1,6,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]
[7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7]=>[1,3,6,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]
[7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7]=>[1,4,3,6,7,2,5]=>[[1,2,5,7],[3,6],[4]]
[7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7]=>[1,3,4,6,7,2,5]=>[[1,2,4,5,7],[3,6]]
[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>[1,7,6,4,2,3,5]=>[[1,2,3,5],[4],[6],[7]]
[7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7]=>[1,6,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6]]
[7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7]=>[1,7,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,2,1,5,6,3]=>[3,6,5,1,2,4,7]=>[1,4,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7]=>[1,6,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]
[7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]=>[1,4,6,7,2,3,5]=>[[1,2,3,5],[4,6,7]]
[7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]=>[1,7,6,2,4,3,5]=>[[1,2,3,5],[4],[6],[7]]
[7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7]=>[1,6,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6]]
[7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]=>[1,7,2,6,4,3,5]=>[[1,2,3,5],[4],[6],[7]]
[7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]=>[1,2,7,6,4,3,5]=>[[1,2,3,5],[4],[6],[7]]
[7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7]=>[1,6,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6]]
[7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7]=>[1,2,6,7,4,3,5]=>[[1,2,3,5],[4,7],[6]]
[7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7]=>[1,7,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7]=>[1,4,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7]=>[1,7,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7]=>[1,2,7,4,6,3,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7]=>[1,4,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7]=>[1,2,4,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7]=>[1,6,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]
[7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7]=>[1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]
[7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7]=>[1,6,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]
[7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7]=>[1,2,6,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]
[7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7]=>[1,4,2,6,7,3,5]=>[[1,2,3,5],[4,6,7]]
[7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]=>[1,2,4,6,7,3,5]=>[[1,2,3,5,7],[4,6]]
[7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]=>[1,7,6,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]
[7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7]=>[1,6,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6]]
[7,4,3,1,5,2,6]=>[6,2,5,1,3,4,7]=>[1,7,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7]=>[1,3,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7]=>[1,6,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]
[7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7]=>[1,3,6,7,2,4,5]=>[[1,2,4,5],[3,6,7]]
[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>[1,7,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]
[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]=>[1,6,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]
[7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]=>[1,7,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]
[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[1,2,7,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]
[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>[1,6,2,7,3,4,5]=>[[1,2,3,4,5],[6,7]]
[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[1,2,6,7,3,4,5]=>[[1,2,3,4,5],[6,7]]
[7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]=>[1,7,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7]=>[1,3,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]=>[1,7,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7]]
[7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]=>[1,2,7,3,6,4,5]=>[[1,2,3,4,5],[6],[7]]
[7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]=>[1,3,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]=>[1,2,3,7,6,4,5]=>[[1,2,3,4,5],[6],[7]]
[7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7]=>[1,6,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6]]
[7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7]=>[1,3,6,2,7,4,5]=>[[1,2,4,5],[3,6,7]]
[7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]=>[1,6,2,3,7,4,5]=>[[1,2,3,4,5],[6,7]]
[7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]=>[1,2,6,3,7,4,5]=>[[1,2,3,4,5],[6,7]]
[7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7]=>[1,3,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]
[7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]=>[1,2,3,6,7,4,5]=>[[1,2,3,4,5],[6,7]]
[7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]=>[1,7,4,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]
[7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7]=>[1,4,7,3,2,6,5]=>[[1,2,5],[3,6],[4,7]]
[7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7]=>[1,7,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7]=>[1,3,7,4,2,6,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7]=>[1,4,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]
[7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7]=>[1,3,4,7,2,6,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]=>[1,7,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7]=>[1,4,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]=>[1,7,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[1,2,7,4,3,6,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7]=>[1,4,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7]=>[1,2,4,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]=>[1,7,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7]=>[1,3,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]=>[1,7,2,3,4,6,5]=>[[1,2,3,4,5],[6],[7]]
[7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]=>[1,2,7,3,4,6,5]=>[[1,2,3,4,5],[6],[7]]
[7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]=>[1,3,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]=>[1,2,3,7,4,6,5]=>[[1,2,3,4,5],[6],[7]]
[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>[1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]
[7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]=>[1,3,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]=>[1,4,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]=>[1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]
[7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]=>[1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]
[7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]=>[1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]
[7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]=>[1,6,4,3,2,7,5]=>[[1,2,5],[3,7],[4],[6]]
[7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7]=>[1,4,6,3,2,7,5]=>[[1,2,5,7],[3,6],[4]]
[7,4,6,1,3,2,5]=>[5,2,3,1,6,4,7]=>[1,6,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6]]
[7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7]=>[1,3,6,4,2,7,5]=>[[1,2,4,5],[3,7],[6]]
[7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7]=>[1,4,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4]]
[7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7]=>[1,3,4,6,2,7,5]=>[[1,2,4,5,7],[3,6]]
[7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7]=>[1,6,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6]]
[7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7]=>[1,4,6,2,3,7,5]=>[[1,2,3,5],[4,6,7]]
[7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7]=>[1,6,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6]]
[7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7]=>[1,2,6,4,3,7,5]=>[[1,2,3,5],[4,7],[6]]
[7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7]=>[1,4,2,6,3,7,5]=>[[1,2,3,5],[4,6,7]]
[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[1,2,4,6,3,7,5]=>[[1,2,3,5,7],[4,6]]
[7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7]=>[1,6,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]
[7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7]=>[1,3,6,2,4,7,5]=>[[1,2,4,5],[3,6,7]]
[7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]=>[1,6,2,3,4,7,5]=>[[1,2,3,4,5],[6,7]]
[7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]=>[1,2,6,3,4,7,5]=>[[1,2,3,4,5],[6,7]]
[7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]=>[1,3,2,6,4,7,5]=>[[1,2,4,5],[3,6,7]]
[7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]=>[1,2,3,6,4,7,5]=>[[1,2,3,4,5],[6,7]]
[7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7]=>[1,4,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]
[7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]=>[1,3,4,2,6,7,5]=>[[1,2,4,5,7],[3,6]]
[7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7]=>[1,4,2,3,6,7,5]=>[[1,2,3,5,7],[4,6]]
[7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]=>[1,2,4,3,6,7,5]=>[[1,2,3,5,7],[4,6]]
[7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]=>[1,3,2,4,6,7,5]=>[[1,2,4,5,7],[3,6]]
[7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,4,6,7,5]=>[[1,2,3,4,5,7],[6]]
[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>[1,7,5,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]
[7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7]=>[1,5,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]
[7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7]=>[1,7,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]
[7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7]=>[1,4,7,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]
[7,5,1,2,6,3,4]=>[4,3,6,2,1,5,7]=>[1,5,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5]]
[7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7]=>[1,4,5,7,3,2,6]=>[[1,2,5,6],[3,7],[4]]
[7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7]=>[1,7,5,3,4,2,6]=>[[1,2,4,6],[3],[5],[7]]
[7,5,1,3,2,6,4]=>[4,6,2,3,1,5,7]=>[1,5,7,3,4,2,6]=>[[1,2,4,6],[3,7],[5]]
[7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7]=>[1,7,3,5,4,2,6]=>[[1,2,4,6],[3],[5],[7]]
[7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7]=>[1,3,7,5,4,2,6]=>[[1,2,4,6],[3],[5],[7]]
[7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7]=>[1,5,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5]]
[7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7]=>[1,3,5,7,4,2,6]=>[[1,2,4,6],[3,7],[5]]
[7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]=>[1,7,4,3,5,2,6]=>[[1,2,5,6],[3],[4],[7]]
[7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7]=>[1,4,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4]]
[7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7]=>[1,7,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7]]
[7,5,1,4,3,6,2]=>[2,6,3,4,1,5,7]=>[1,3,7,4,5,2,6]=>[[1,2,4,5,6],[3],[7]]
[7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7]=>[1,4,3,7,5,2,6]=>[[1,2,5,6],[3,7],[4]]
[7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7]=>[1,3,4,7,5,2,6]=>[[1,2,4,5,6],[3],[7]]
[7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7]=>[1,5,4,3,7,2,6]=>[[1,2,6],[3,7],[4],[5]]
[7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7]=>[1,4,5,3,7,2,6]=>[[1,2,5,6],[3,7],[4]]
[7,5,1,6,3,2,4]=>[4,2,3,6,1,5,7]=>[1,5,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5]]
[7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7]=>[1,3,5,4,7,2,6]=>[[1,2,4,6],[3,7],[5]]
[7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7]=>[1,4,3,5,7,2,6]=>[[1,2,5,6],[3,7],[4]]
[7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]=>[1,3,4,5,7,2,6]=>[[1,2,4,5,6],[3,7]]
[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>[1,7,5,4,2,3,6]=>[[1,2,3,6],[4],[5],[7]]
[7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7]=>[1,5,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5]]
[7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7]=>[1,7,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]
[7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7]=>[1,4,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]
[7,5,2,1,6,3,4]=>[4,3,6,1,2,5,7]=>[1,5,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]
[7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7]=>[1,4,5,7,2,3,6]=>[[1,2,3,6],[4,5,7]]
[7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]=>[1,7,5,2,4,3,6]=>[[1,2,3,6],[4],[5],[7]]
[7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7]=>[1,5,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5]]
[7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]=>[1,7,2,5,4,3,6]=>[[1,2,3,6],[4],[5],[7]]
[7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]=>[1,2,7,5,4,3,6]=>[[1,2,3,6],[4],[5],[7]]
[7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7]=>[1,5,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5]]
[7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7]=>[1,2,5,7,4,3,6]=>[[1,2,3,6],[4,7],[5]]
[7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]=>[1,7,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]
[7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7]=>[1,4,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]
[7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7]=>[1,7,2,4,5,3,6]=>[[1,2,3,5,6],[4],[7]]
[7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7]=>[1,2,7,4,5,3,6]=>[[1,2,3,5,6],[4],[7]]
[7,5,2,4,6,1,3]=>[3,1,6,4,2,5,7]=>[1,4,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7]]
[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[1,2,4,7,5,3,6]=>[[1,2,3,5,6],[4],[7]]
[7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7]=>[1,5,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]
[7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7]=>[1,4,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]
[7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7]=>[1,5,2,4,7,3,6]=>[[1,2,3,6],[4,7],[5]]
[7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7]=>[1,2,5,4,7,3,6]=>[[1,2,3,6],[4,7],[5]]
[7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]=>[1,4,2,5,7,3,6]=>[[1,2,3,6],[4,5,7]]
[7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]=>[1,2,4,5,7,3,6]=>[[1,2,3,5,6],[4,7]]
[7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]=>[1,7,5,3,2,4,6]=>[[1,2,4,6],[3],[5],[7]]
[7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7]=>[1,5,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5]]
[7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7]=>[1,7,3,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]
[7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7]=>[1,3,7,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]
[7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7]=>[1,5,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]
[7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6]=>[[1,2,4,6],[3,5,7]]
[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>[1,7,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]
[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>[1,5,7,2,3,4,6]=>[[1,2,3,4,6],[5,7]]
[7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]=>[1,7,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]
[7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]=>[1,2,7,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]
[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>[1,5,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]
[7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]=>[1,2,5,7,3,4,6]=>[[1,2,3,4,6],[5,7]]
[7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]=>[1,7,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]
[7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7]=>[1,3,7,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]
[7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]=>[1,7,2,3,5,4,6]=>[[1,2,3,4,6],[5],[7]]
[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[1,2,7,3,5,4,6]=>[[1,2,3,4,6],[5],[7]]
[7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]=>[1,3,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7]]
[7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]=>[1,2,3,7,5,4,6]=>[[1,2,3,4,6],[5],[7]]
[7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7]=>[1,5,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5]]
[7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7]=>[1,3,5,2,7,4,6]=>[[1,2,4,6],[3,5,7]]
[7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7]=>[1,5,2,3,7,4,6]=>[[1,2,3,4,6],[5,7]]
[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[1,2,5,3,7,4,6]=>[[1,2,3,4,6],[5,7]]
[7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7]=>[1,3,2,5,7,4,6]=>[[1,2,4,6],[3,5,7]]
[7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]=>[1,2,3,5,7,4,6]=>[[1,2,3,4,6],[5,7]]
[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>[1,7,4,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]
[7,5,4,1,2,6,3]=>[3,6,2,1,4,5,7]=>[1,4,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4]]
[7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7]=>[1,7,3,4,2,5,6]=>[[1,2,4,5,6],[3],[7]]
[7,5,4,1,3,6,2]=>[2,6,3,1,4,5,7]=>[1,3,7,4,2,5,6]=>[[1,2,4,5,6],[3],[7]]
[7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7]=>[1,4,3,7,2,5,6]=>[[1,2,5,6],[3,7],[4]]
[7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]=>[1,3,4,7,2,5,6]=>[[1,2,4,5,6],[3,7]]
[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>[1,7,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]
[7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]=>[1,4,7,2,3,5,6]=>[[1,2,3,5,6],[4,7]]
[7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]=>[1,7,2,4,3,5,6]=>[[1,2,3,5,6],[4],[7]]
[7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]=>[1,2,7,4,3,5,6]=>[[1,2,3,5,6],[4],[7]]
[7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]=>[1,4,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]
[7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]=>[1,2,4,7,3,5,6]=>[[1,2,3,5,6],[4,7]]
[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>[1,7,3,2,4,5,6]=>[[1,2,4,5,6],[3],[7]]
[7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]=>[1,3,7,2,4,5,6]=>[[1,2,4,5,6],[3,7]]
[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>[1,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]
[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[1,2,7,3,4,5,6]=>[[1,2,3,4,5,6],[7]]
[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>[1,3,2,7,4,5,6]=>[[1,2,4,5,6],[3,7]]
[7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]=>[1,2,3,7,4,5,6]=>[[1,2,3,4,5,6],[7]]
[7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]=>[1,4,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]
[7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]=>[1,3,4,2,7,5,6]=>[[1,2,4,5,6],[3,7]]
[7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]=>[1,4,2,3,7,5,6]=>[[1,2,3,5,6],[4,7]]
[7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]=>[1,2,4,3,7,5,6]=>[[1,2,3,5,6],[4,7]]
[7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]=>[1,3,2,4,7,5,6]=>[[1,2,4,5,6],[3,7]]
[7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,4,7,5,6]=>[[1,2,3,4,5,6],[7]]
[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>[1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]
[7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]=>[1,4,5,3,2,7,6]=>[[1,2,5,6],[3,7],[4]]
[7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7]=>[1,5,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]
[7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]=>[1,3,5,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]
[7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7]=>[1,4,3,5,2,7,6]=>[[1,2,5,6],[3,7],[4]]
[7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]=>[1,3,4,5,2,7,6]=>[[1,2,4,5,6],[3,7]]
[7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]=>[1,5,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5]]
[7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7]=>[1,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]
[7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]=>[1,5,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]
[7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]=>[1,2,5,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]
[7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]=>[1,4,2,5,3,7,6]=>[[1,2,3,6],[4,5,7]]
[7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]=>[1,2,4,5,3,7,6]=>[[1,2,3,5,6],[4,7]]
[7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]=>[1,5,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]
[7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7]=>[1,3,5,2,4,7,6]=>[[1,2,4,6],[3,5,7]]
[7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]=>[1,5,2,3,4,7,6]=>[[1,2,3,4,6],[5,7]]
[7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]=>[1,2,5,3,4,7,6]=>[[1,2,3,4,6],[5,7]]
[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>[1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]
[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]=>[1,2,3,5,4,7,6]=>[[1,2,3,4,6],[5,7]]
[7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]=>[1,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]
[7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]=>[1,3,4,2,5,7,6]=>[[1,2,4,5,6],[3,7]]
[7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]=>[1,4,2,3,5,7,6]=>[[1,2,3,5,6],[4,7]]
[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[1,2,4,3,5,7,6]=>[[1,2,3,5,6],[4,7]]
[7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]=>[1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]
[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]
[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>[1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]
[7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]=>[1,5,6,4,3,2,7]=>[[1,2,6,7],[3],[4],[5]]
[7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7]=>[1,6,4,5,3,2,7]=>[[1,2,5,7],[3],[4],[6]]
[7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7]=>[1,4,6,5,3,2,7]=>[[1,2,5,7],[3],[4],[6]]
[7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]=>[1,5,4,6,3,2,7]=>[[1,2,6,7],[3],[4],[5]]
[7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]=>[1,4,5,6,3,2,7]=>[[1,2,5,6,7],[3],[4]]
[7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7]=>[1,6,5,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]
[7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7]=>[1,5,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5]]
[7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7]=>[1,6,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]
[7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7]=>[1,3,6,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]
[7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7]=>[1,5,3,6,4,2,7]=>[[1,2,4,7],[3,6],[5]]
[7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7]=>[1,3,5,6,4,2,7]=>[[1,2,4,6,7],[3],[5]]
[7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7]=>[1,6,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]
[7,6,1,4,2,5,3]=>[3,5,2,4,1,6,7]=>[1,4,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4]]
[7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7]=>[1,6,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]
[7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7]=>[1,3,6,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]
[7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7]=>[1,4,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4]]
[7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]=>[1,3,4,6,5,2,7]=>[[1,2,4,5,7],[3],[6]]
[7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7]=>[1,5,4,3,6,2,7]=>[[1,2,6,7],[3],[4],[5]]
[7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7]=>[1,4,5,3,6,2,7]=>[[1,2,5,6,7],[3],[4]]
[7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7]=>[1,5,3,4,6,2,7]=>[[1,2,4,6,7],[3],[5]]
[7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7]=>[1,3,5,4,6,2,7]=>[[1,2,4,6,7],[3],[5]]
[7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7]=>[1,4,3,5,6,2,7]=>[[1,2,5,6,7],[3],[4]]
[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]=>[1,3,4,5,6,2,7]=>[[1,2,4,5,6,7],[3]]
[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>[1,6,5,4,2,3,7]=>[[1,2,3,7],[4],[5],[6]]
[7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7]=>[1,5,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]
[7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7]=>[1,6,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]
[7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7]=>[1,4,6,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]
[7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7]=>[1,5,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5]]
[7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]=>[1,4,5,6,2,3,7]=>[[1,2,3,6,7],[4,5]]
[7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]=>[1,6,5,2,4,3,7]=>[[1,2,3,7],[4],[5],[6]]
[7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7]=>[1,5,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5]]
[7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]=>[1,6,2,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]
[7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]=>[1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]
[7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7]=>[1,5,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5]]
[7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]=>[1,2,5,6,4,3,7]=>[[1,2,3,6,7],[4],[5]]
[7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]=>[1,6,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]
[7,6,2,4,1,5,3]=>[3,5,1,4,2,6,7]=>[1,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]
[7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7]=>[1,6,2,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]
[7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7]=>[1,2,6,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]
[7,6,2,4,5,1,3]=>[3,1,5,4,2,6,7]=>[1,4,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6]]
[7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]=>[1,2,4,6,5,3,7]=>[[1,2,3,5,7],[4],[6]]
[7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7]=>[1,5,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]
[7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7]=>[1,4,5,2,6,3,7]=>[[1,2,3,6,7],[4,5]]
[7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7]=>[1,5,2,4,6,3,7]=>[[1,2,3,6,7],[4],[5]]
[7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]=>[1,2,5,4,6,3,7]=>[[1,2,3,6,7],[4],[5]]
[7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7]=>[1,4,2,5,6,3,7]=>[[1,2,3,6,7],[4,5]]
[7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]=>[1,2,4,5,6,3,7]=>[[1,2,3,5,6,7],[4]]
[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>[1,6,5,3,2,4,7]=>[[1,2,4,7],[3],[5],[6]]
[7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7]=>[1,5,6,3,2,4,7]=>[[1,2,4,7],[3,6],[5]]
[7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7]=>[1,6,3,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]
[7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7]=>[1,3,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]
[7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]=>[1,5,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]
[7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7]=>[1,3,5,6,2,4,7]=>[[1,2,4,6,7],[3,5]]
[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>[1,6,5,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]
[7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]=>[1,5,6,2,3,4,7]=>[[1,2,3,4,7],[5,6]]
[7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]=>[1,6,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6]]
[7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]=>[1,2,6,5,3,4,7]=>[[1,2,3,4,7],[5],[6]]
[7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]=>[1,5,2,6,3,4,7]=>[[1,2,3,4,7],[5,6]]
[7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]=>[1,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6]]
[7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]=>[1,6,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]
[7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7]=>[1,3,6,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]
[7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]=>[1,6,2,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]
[7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]=>[1,2,6,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]
[7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]=>[1,3,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]
[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6]]
[7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]=>[1,5,3,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]
[7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7]=>[1,3,5,2,6,4,7]=>[[1,2,4,6,7],[3,5]]
[7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]=>[1,5,2,3,6,4,7]=>[[1,2,3,4,7],[5,6]]
[7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]=>[1,2,5,3,6,4,7]=>[[1,2,3,4,7],[5,6]]
[7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7]=>[1,3,2,5,6,4,7]=>[[1,2,4,6,7],[3,5]]
[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[1,2,3,5,6,4,7]=>[[1,2,3,4,6,7],[5]]
[7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]=>[1,6,4,3,2,5,7]=>[[1,2,5,7],[3],[4],[6]]
[7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7]=>[1,4,6,3,2,5,7]=>[[1,2,5,7],[3,6],[4]]
[7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7]=>[1,6,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6]]
[7,6,4,1,3,5,2]=>[2,5,3,1,4,6,7]=>[1,3,6,4,2,5,7]=>[[1,2,4,5,7],[3],[6]]
[7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7]=>[1,4,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]
[7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]=>[1,3,4,6,2,5,7]=>[[1,2,4,5,7],[3,6]]
[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>[1,6,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]
[7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]=>[1,4,6,2,3,5,7]=>[[1,2,3,5,7],[4,6]]
[7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]=>[1,6,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]
[7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]=>[1,2,6,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]
[7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]=>[1,4,2,6,3,5,7]=>[[1,2,3,5,7],[4,6]]
[7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]=>[1,2,4,6,3,5,7]=>[[1,2,3,5,7],[4,6]]
[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>[1,6,3,2,4,5,7]=>[[1,2,4,5,7],[3],[6]]
[7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]=>[1,3,6,2,4,5,7]=>[[1,2,4,5,7],[3,6]]
[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>[1,6,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]
[7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]=>[1,2,6,3,4,5,7]=>[[1,2,3,4,5,7],[6]]
[7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]=>[1,3,2,6,4,5,7]=>[[1,2,4,5,7],[3,6]]
[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[1,2,3,6,4,5,7]=>[[1,2,3,4,5,7],[6]]
[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>[1,4,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]
[7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]=>[1,3,4,2,6,5,7]=>[[1,2,4,5,7],[3,6]]
[7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]=>[1,4,2,3,6,5,7]=>[[1,2,3,5,7],[4,6]]
[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]=>[1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6]]
[7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]=>[1,3,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]
[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6]]
[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>[1,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]
[7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]=>[1,4,5,3,2,6,7]=>[[1,2,5,6,7],[3],[4]]
[7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7]=>[1,5,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]
[7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]=>[1,3,5,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]
[7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]=>[1,4,3,5,2,6,7]=>[[1,2,5,6,7],[3],[4]]
[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]=>[1,3,4,5,2,6,7]=>[[1,2,4,5,6,7],[3]]
[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>[1,5,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5]]
[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]=>[1,4,5,2,3,6,7]=>[[1,2,3,6,7],[4,5]]
[7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]=>[1,5,2,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]
[7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]=>[1,2,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]
[7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]=>[1,4,2,5,3,6,7]=>[[1,2,3,6,7],[4,5]]
[7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]=>[1,2,4,5,3,6,7]=>[[1,2,3,5,6,7],[4]]
[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>[1,5,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]
[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>[1,3,5,2,4,6,7]=>[[1,2,4,6,7],[3,5]]
[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>[1,5,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]
[7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]=>[1,2,5,3,4,6,7]=>[[1,2,3,4,6,7],[5]]
[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>[1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]
[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]=>[1,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5]]
[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>[1,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]
[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]=>[1,3,4,2,5,6,7]=>[[1,2,4,5,6,7],[3]]
[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>[1,4,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]
[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>[1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4]]
[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>[1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
Tanimoto
Description
Add 1 to every entry of the permutation (n becomes 1 instead of n+1), except that when n appears at the front or the back of the permutation, instead remove it and place 1 at the other end of the permutation.
Map
Robinson-Schensted insertion tableau
Description
Sends a permutation to its Robinson-Schensted insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
searching the database
Sorry, this map was not found in the database.