Identifier
Mp00081:
Standard tableaux
—reading word permutation⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Images
=>
Cc0007;cc-rep-0
[[1]]=>[1]=>[1]
[[1,2]]=>[1,2]=>[1,2]
[[1],[2]]=>[2,1]=>[2,1]
[[1,2,3]]=>[1,2,3]=>[1,2,3]
[[1,3],[2]]=>[2,1,3]=>[2,1,3]
[[1,2],[3]]=>[3,1,2]=>[3,1,2]
[[1],[2],[3]]=>[3,2,1]=>[2,3,1]
[[1,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]
[[1,3,4],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,4],[3]]=>[3,1,2,4]=>[3,1,2,4]
[[1,2,3],[4]]=>[4,1,2,3]=>[4,1,2,3]
[[1,3],[2,4]]=>[2,4,1,3]=>[4,2,1,3]
[[1,2],[3,4]]=>[3,4,1,2]=>[4,1,3,2]
[[1,4],[2],[3]]=>[3,2,1,4]=>[2,3,1,4]
[[1,3],[2],[4]]=>[4,2,1,3]=>[2,4,1,3]
[[1,2],[3],[4]]=>[4,3,1,2]=>[3,1,4,2]
[[1],[2],[3],[4]]=>[4,3,2,1]=>[2,3,4,1]
[[1,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,3,4,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,4,5],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,2,3,5],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,2,3,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,3,5],[2,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,2,5],[3,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,3,4],[2,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,2,4],[3,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,2,3],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[5,3,2,1,4]
[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>[4,5,1,2,3]
[[1,2],[3,4],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>[2,3,5,1,4]
[[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>[2,4,1,5,3]
[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>[3,1,4,5,2]
[[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]
[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]
[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]
[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]
[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]
[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]
[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]
[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]
[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]
[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]
[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]
[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]
[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]
[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]
[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]
[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]
[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[5,3,2,1,4,6]
[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]
[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]
[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[4,5,1,2,3,6]
[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]
[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[6,3,2,1,4,5]
[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[6,4,1,2,3,5]
[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[6,1,4,3,2,5]
[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]
[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]
[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]
[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[4,6,1,2,3,5]
[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]
[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[5,6,1,3,2,4]
[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[5,1,6,2,3,4]
[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]
[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[2,3,5,1,4,6]
[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[2,4,1,5,3,6]
[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[3,1,4,5,2,6]
[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[2,3,6,1,4,5]
[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[2,4,1,6,3,5]
[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[3,1,4,6,2,5]
[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[2,5,1,3,6,4]
[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[3,1,5,2,6,4]
[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3]
[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[5,6,3,1,2,4]
[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[5,6,1,4,2,3]
[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[5,1,6,4,3,2]
[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[4,6,1,2,5,3]
[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]
[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[6,3,4,2,1,5]
[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[6,3,5,1,2,4]
[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[6,4,1,5,2,3]
[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[6,1,4,5,3,2]
[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[5,3,6,1,2,4]
[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[5,4,1,6,2,3]
[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[5,1,4,6,3,2]
[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[4,5,1,2,6,3]
[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>[4,1,5,3,6,2]
[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[2,3,4,6,1,5]
[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[2,3,5,1,6,4]
[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[2,4,1,5,6,3]
[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2]
[[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]
[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7]
[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]
[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>[5,2,1,3,4,6,7]
[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>[5,1,3,2,4,6,7]
[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]
[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7]
[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7]
[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>[6,1,2,4,3,5,7]
[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]
[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6]
[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6]
[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>[7,1,2,4,3,5,6]
[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>[7,1,2,3,5,4,6]
[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]
[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]
[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]
[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7]
[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7]
[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>[3,1,5,2,4,6,7]
[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7]
[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7]
[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>[3,1,6,2,4,5,7]
[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>[4,1,2,6,3,5,7]
[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7]
[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]
[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]
[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>[4,1,2,7,3,5,6]
[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6]
[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5]
[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7]
[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>[6,1,3,4,2,5,7]
[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>[6,2,1,3,5,4,7]
[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>[6,1,3,2,5,4,7]
[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]
[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>[7,2,1,4,3,5,6]
[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>[7,1,3,4,2,5,6]
[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>[7,2,1,3,5,4,6]
[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>[7,1,3,2,5,4,6]
[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>[7,1,2,4,5,3,6]
[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>[7,2,1,3,4,6,5]
[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>[7,1,3,2,4,6,5]
[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>[7,1,2,4,3,6,5]
[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]
[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[5,3,2,1,4,6,7]
[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[5,4,1,2,3,6,7]
[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>[5,1,4,3,2,6,7]
[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>[4,5,1,2,3,6,7]
[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>[4,1,5,3,2,6,7]
[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>[6,3,2,1,4,5,7]
[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>[6,4,1,2,3,5,7]
[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>[6,1,4,3,2,5,7]
[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>[6,5,1,3,2,4,7]
[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>[6,1,5,2,3,4,7]
[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>[6,1,2,5,4,3,7]
[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>[4,6,1,2,3,5,7]
[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>[4,1,6,3,2,5,7]
[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>[5,6,1,3,2,4,7]
[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>[5,1,6,2,3,4,7]
[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>[5,1,2,6,4,3,7]
[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>[7,3,2,1,4,5,6]
[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>[7,4,1,2,3,5,6]
[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>[7,1,4,3,2,5,6]
[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>[7,5,1,3,2,4,6]
[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>[7,1,5,2,3,4,6]
[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>[7,1,2,5,4,3,6]
[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>[7,6,1,3,4,2,5]
[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>[7,1,6,2,4,3,5]
[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>[7,1,2,6,3,4,5]
[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4]
[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>[4,7,1,2,3,5,6]
[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>[4,1,7,3,2,5,6]
[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>[5,7,1,3,2,4,6]
[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>[5,1,7,2,3,4,6]
[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>[5,1,2,7,4,3,6]
[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>[6,7,1,3,4,2,5]
[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>[6,1,7,2,4,3,5]
[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>[6,1,2,7,3,4,5]
[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>[6,1,2,3,7,5,4]
[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]
[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>[2,3,5,1,4,6,7]
[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>[2,4,1,5,3,6,7]
[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>[3,1,4,5,2,6,7]
[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>[2,3,6,1,4,5,7]
[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>[2,4,1,6,3,5,7]
[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>[3,1,4,6,2,5,7]
[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>[2,5,1,3,6,4,7]
[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>[3,1,5,2,6,4,7]
[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>[4,1,2,5,6,3,7]
[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>[2,3,7,1,4,5,6]
[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]
[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>[3,1,4,7,2,5,6]
[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>[2,5,1,3,7,4,6]
[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>[3,1,5,2,7,4,6]
[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>[4,1,2,5,7,3,6]
[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>[2,6,1,3,4,7,5]
[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>[3,1,6,2,4,7,5]
[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>[4,1,2,6,3,7,5]
[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4]
[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[7,3,2,1,5,4,6]
[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[7,4,1,2,5,3,6]
[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>[7,1,4,3,5,2,6]
[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>[7,5,1,2,4,3,6]
[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>[7,1,5,3,4,2,6]
[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>[7,3,2,1,4,6,5]
[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>[7,4,1,2,3,6,5]
[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>[7,1,4,3,2,6,5]
[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>[7,5,1,3,2,6,4]
[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>[7,1,5,2,3,6,4]
[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>[7,1,2,5,4,6,3]
[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>[7,6,1,2,3,4,5]
[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>[7,1,6,3,2,4,5]
[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>[7,6,1,3,2,5,4]
[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>[7,1,6,2,3,5,4]
[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>[7,1,2,6,4,5,3]
[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>[6,7,1,2,3,4,5]
[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>[6,1,7,3,2,4,5]
[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>[6,7,1,3,2,5,4]
[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>[6,1,7,2,3,5,4]
[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>[6,1,2,7,4,5,3]
[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[5,6,3,1,2,4,7]
[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[5,6,1,4,2,3,7]
[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>[5,1,6,4,3,2,7]
[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>[4,6,1,2,5,3,7]
[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>[4,1,6,3,5,2,7]
[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[5,7,3,1,2,4,6]
[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[5,7,1,4,2,3,6]
[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>[5,1,7,4,3,2,6]
[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>[4,7,1,2,5,3,6]
[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>[4,1,7,3,5,2,6]
[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>[6,7,3,1,4,2,5]
[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>[6,7,1,4,3,2,5]
[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>[6,1,7,4,2,3,5]
[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>[6,7,1,3,5,2,4]
[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>[6,1,7,2,5,3,4]
[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>[6,1,2,7,5,4,3]
[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>[4,7,1,2,3,6,5]
[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>[4,1,7,3,2,6,5]
[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>[5,7,1,3,2,6,4]
[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>[5,1,7,2,3,6,4]
[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>[5,1,2,7,4,6,3]
[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[6,3,4,2,1,5,7]
[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[6,3,5,1,2,4,7]
[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[6,4,1,5,2,3,7]
[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>[6,1,4,5,3,2,7]
[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[5,3,6,1,2,4,7]
[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[5,4,1,6,2,3,7]
[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>[5,1,4,6,3,2,7]
[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>[4,5,1,2,6,3,7]
[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>[4,1,5,3,6,2,7]
[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[7,3,4,2,1,5,6]
[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[7,3,5,1,2,4,6]
[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>[7,4,1,5,2,3,6]
[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>[7,1,4,5,3,2,6]
[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[7,3,6,1,4,2,5]
[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>[7,4,1,6,3,2,5]
[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>[7,1,4,6,2,3,5]
[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>[7,5,1,3,6,2,4]
[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>[7,1,5,2,6,3,4]
[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>[7,1,2,5,6,4,3]
[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[5,3,7,1,2,4,6]
[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[5,4,1,7,2,3,6]
[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>[5,1,4,7,3,2,6]
[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>[4,5,1,2,7,3,6]
[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>[4,1,5,3,7,2,6]
[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>[6,3,7,1,4,2,5]
[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>[6,4,1,7,3,2,5]
[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>[6,1,4,7,2,3,5]
[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>[6,5,1,3,7,2,4]
[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>[6,1,5,2,7,3,4]
[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>[6,1,2,5,7,4,3]
[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>[4,6,1,2,3,7,5]
[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>[4,1,6,3,2,7,5]
[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>[5,6,1,3,2,7,4]
[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>[5,1,6,2,3,7,4]
[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>[5,1,2,6,4,7,3]
[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>[2,3,4,6,1,5,7]
[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>[2,3,5,1,6,4,7]
[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>[2,4,1,5,6,3,7]
[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>[3,1,4,5,6,2,7]
[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6]
[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>[2,3,5,1,7,4,6]
[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>[2,4,1,5,7,3,6]
[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>[3,1,4,5,7,2,6]
[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>[2,3,6,1,4,7,5]
[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>[2,4,1,6,3,7,5]
[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>[3,1,4,6,2,7,5]
[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>[2,5,1,3,6,7,4]
[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>[3,1,5,2,6,7,4]
[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>[4,1,2,5,6,7,3]
[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[6,7,4,3,1,2,5]
[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[6,7,5,1,3,2,4]
[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[6,7,1,5,4,2,3]
[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>[6,1,7,5,4,3,2]
[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[5,7,6,1,2,3,4]
[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[5,7,1,6,2,4,3]
[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>[5,1,7,6,3,4,2]
[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>[4,7,1,2,6,5,3]
[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>[4,1,7,3,6,5,2]
[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>[5,6,7,1,2,3,4]
[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>[5,6,1,7,2,4,3]
[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>[5,1,6,7,3,4,2]
[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>[4,6,1,2,7,5,3]
[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>[4,1,6,3,7,5,2]
[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[7,3,4,5,2,1,6]
[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[7,3,4,6,1,2,5]
[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[7,3,5,1,6,2,4]
[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[7,4,1,5,6,2,3]
[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>[7,1,4,5,6,3,2]
[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[6,3,4,7,1,2,5]
[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[6,3,5,1,7,2,4]
[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>[6,4,1,5,7,2,3]
[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>[6,1,4,5,7,3,2]
[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>[5,3,6,1,2,7,4]
[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>[5,4,1,6,2,7,3]
[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>[5,1,4,6,3,7,2]
[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>[4,5,1,2,6,7,3]
[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>[4,1,5,3,6,7,2]
[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>[2,3,4,5,7,1,6]
[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>[2,3,4,6,1,7,5]
[[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>[2,3,5,1,6,7,4]
[[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>[2,4,1,5,6,7,3]
[[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2]
[[1],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]
[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]
[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]
[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8]
[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>[6,1,2,3,4,5,7,8]
[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6,8]
[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]
[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>[4,2,1,3,5,6,7,8]
[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>[4,1,3,2,5,6,7,8]
[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>[5,2,1,3,4,6,7,8]
[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>[5,1,3,2,4,6,7,8]
[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>[5,1,2,4,3,6,7,8]
[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>[6,2,1,3,4,5,7,8]
[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>[6,1,3,2,4,5,7,8]
[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>[6,1,2,4,3,5,7,8]
[[1,2,3,4,7,8],[5,6]]=>[5,6,1,2,3,4,7,8]=>[6,1,2,3,5,4,7,8]
[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>[7,2,1,3,4,5,6,8]
[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>[7,1,3,2,4,5,6,8]
[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>[7,1,2,4,3,5,6,8]
[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>[7,1,2,3,5,4,6,8]
[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>[7,1,2,3,4,6,5,8]
[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>[8,2,1,3,4,5,6,7]
[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>[8,1,3,2,4,5,6,7]
[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>[8,1,2,4,3,5,6,7]
[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>[8,1,2,3,5,4,6,7]
[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>[8,1,2,3,4,6,5,7]
[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,7,6]
[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]
[[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>[2,4,1,3,5,6,7,8]
[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]
[[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>[2,5,1,3,4,6,7,8]
[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>[3,1,5,2,4,6,7,8]
[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>[4,1,2,5,3,6,7,8]
[[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>[2,6,1,3,4,5,7,8]
[[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>[3,1,6,2,4,5,7,8]
[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>[4,1,2,6,3,5,7,8]
[[1,2,3,4,7,8],[5],[6]]=>[6,5,1,2,3,4,7,8]=>[5,1,2,3,6,4,7,8]
[[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>[2,7,1,3,4,5,6,8]
[[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>[3,1,7,2,4,5,6,8]
[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>[4,1,2,7,3,5,6,8]
[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>[5,1,2,3,7,4,6,8]
[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>[6,1,2,3,4,7,5,8]
[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>[2,8,1,3,4,5,6,7]
[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>[3,1,8,2,4,5,6,7]
[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>[4,1,2,8,3,5,6,7]
[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>[5,1,2,3,8,4,6,7]
[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>[6,1,2,3,4,8,5,7]
[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,8,6]
[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>[6,2,1,4,3,5,7,8]
[[1,2,5,7,8],[3,4,6]]=>[3,4,6,1,2,5,7,8]=>[6,1,3,4,2,5,7,8]
[[1,3,4,7,8],[2,5,6]]=>[2,5,6,1,3,4,7,8]=>[6,2,1,3,5,4,7,8]
[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>[6,1,3,2,5,4,7,8]
[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>[6,1,2,4,5,3,7,8]
[[1,3,5,6,8],[2,4,7]]=>[2,4,7,1,3,5,6,8]=>[7,2,1,4,3,5,6,8]
[[1,2,5,6,8],[3,4,7]]=>[3,4,7,1,2,5,6,8]=>[7,1,3,4,2,5,6,8]
[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>[7,1,3,2,5,4,6,8]
[[1,2,3,6,8],[4,5,7]]=>[4,5,7,1,2,3,6,8]=>[7,1,2,4,5,3,6,8]
[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>[7,2,1,3,4,6,5,8]
[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>[7,1,3,2,4,6,5,8]
[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>[7,1,2,4,3,6,5,8]
[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>[7,1,2,3,5,6,4,8]
[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>[8,2,1,4,3,5,6,7]
[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>[8,1,3,4,2,5,6,7]
[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>[8,2,1,3,5,4,6,7]
[[1,2,4,6,7],[3,5,8]]=>[3,5,8,1,2,4,6,7]=>[8,1,3,2,5,4,6,7]
[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>[8,1,2,4,5,3,6,7]
[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>[8,2,1,3,4,6,5,7]
[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>[8,1,3,2,4,6,5,7]
[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>[8,1,2,4,3,6,5,7]
[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>[8,1,2,3,5,6,4,7]
[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>[8,2,1,3,4,5,7,6]
[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>[8,1,3,2,4,5,7,6]
[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>[8,1,2,4,3,5,7,6]
[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>[8,1,2,3,5,4,7,6]
[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>[8,1,2,3,4,6,7,5]
[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>[5,3,2,1,4,6,7,8]
[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>[5,4,1,2,3,6,7,8]
[[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>[5,1,4,3,2,6,7,8]
[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>[4,5,1,2,3,6,7,8]
[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>[4,1,5,3,2,6,7,8]
[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>[6,3,2,1,4,5,7,8]
[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>[6,4,1,2,3,5,7,8]
[[1,3,4,7,8],[2,6],[5]]=>[5,2,6,1,3,4,7,8]=>[6,5,1,3,2,4,7,8]
[[1,2,4,7,8],[3,6],[5]]=>[5,3,6,1,2,4,7,8]=>[6,1,5,2,3,4,7,8]
[[1,2,3,7,8],[4,6],[5]]=>[5,4,6,1,2,3,7,8]=>[6,1,2,5,4,3,7,8]
[[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>[4,6,1,2,3,5,7,8]
[[1,2,5,7,8],[3,4],[6]]=>[6,3,4,1,2,5,7,8]=>[4,1,6,3,2,5,7,8]
[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>[5,1,6,2,3,4,7,8]
[[1,2,3,7,8],[4,5],[6]]=>[6,4,5,1,2,3,7,8]=>[5,1,2,6,4,3,7,8]
[[1,4,5,6,8],[2,7],[3]]=>[3,2,7,1,4,5,6,8]=>[7,3,2,1,4,5,6,8]
[[1,3,5,6,8],[2,7],[4]]=>[4,2,7,1,3,5,6,8]=>[7,4,1,2,3,5,6,8]
[[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>[7,5,1,3,2,4,6,8]
[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>[7,1,5,2,3,4,6,8]
[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>[7,1,2,5,4,3,6,8]
[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>[7,6,1,3,4,2,5,8]
[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>[7,1,6,2,4,3,5,8]
[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>[7,1,2,6,3,4,5,8]
[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>[7,1,2,3,6,5,4,8]
[[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>[4,1,7,3,2,5,6,8]
[[1,3,4,6,8],[2,5],[7]]=>[7,2,5,1,3,4,6,8]=>[5,7,1,3,2,4,6,8]
[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>[5,1,7,2,3,4,6,8]
[[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>[5,1,2,7,4,3,6,8]
[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>[6,1,7,2,4,3,5,8]
[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>[6,1,2,7,3,4,5,8]
[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>[6,1,2,3,7,5,4,8]
[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>[8,3,2,1,4,5,6,7]
[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>[8,4,1,2,3,5,6,7]
[[1,2,5,6,7],[3,8],[4]]=>[4,3,8,1,2,5,6,7]=>[8,1,4,3,2,5,6,7]
[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>[8,5,1,3,2,4,6,7]
[[1,2,4,6,7],[3,8],[5]]=>[5,3,8,1,2,4,6,7]=>[8,1,5,2,3,4,6,7]
[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>[8,1,2,5,4,3,6,7]
[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>[8,6,1,3,4,2,5,7]
[[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>[8,1,6,2,4,3,5,7]
[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>[8,1,2,6,3,4,5,7]
[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>[8,1,2,3,6,5,4,7]
[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>[8,7,1,3,4,5,2,6]
[[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>[8,1,7,2,4,5,3,6]
[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>[8,1,2,7,3,5,4,6]
[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>[8,1,2,3,7,4,5,6]
[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>[8,1,2,3,4,7,6,5]
[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>[4,8,1,2,3,5,6,7]
[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>[4,1,8,3,2,5,6,7]
[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>[5,1,8,2,3,4,6,7]
[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>[5,1,2,8,4,3,6,7]
[[1,3,4,5,7],[2,6],[8]]=>[8,2,6,1,3,4,5,7]=>[6,8,1,3,4,2,5,7]
[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>[6,1,8,2,4,3,5,7]
[[1,2,3,5,7],[4,6],[8]]=>[8,4,6,1,2,3,5,7]=>[6,1,2,8,3,4,5,7]
[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>[6,1,2,3,8,5,4,7]
[[1,3,4,5,6],[2,7],[8]]=>[8,2,7,1,3,4,5,6]=>[7,8,1,3,4,5,2,6]
[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>[7,1,8,2,4,5,3,6]
[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>[7,1,2,8,3,5,4,6]
[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>[7,1,2,3,8,4,5,6]
[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>[7,1,2,3,4,8,6,5]
[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>[2,3,5,1,4,6,7,8]
[[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>[2,4,1,5,3,6,7,8]
[[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>[3,1,4,5,2,6,7,8]
[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>[2,3,6,1,4,5,7,8]
[[1,3,5,7,8],[2],[4],[6]]=>[6,4,2,1,3,5,7,8]=>[2,4,1,6,3,5,7,8]
[[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>[3,1,4,6,2,5,7,8]
[[1,3,4,7,8],[2],[5],[6]]=>[6,5,2,1,3,4,7,8]=>[2,5,1,3,6,4,7,8]
[[1,2,4,7,8],[3],[5],[6]]=>[6,5,3,1,2,4,7,8]=>[3,1,5,2,6,4,7,8]
[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>[4,1,2,5,6,3,7,8]
[[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>[2,3,7,1,4,5,6,8]
[[1,3,5,6,8],[2],[4],[7]]=>[7,4,2,1,3,5,6,8]=>[2,4,1,7,3,5,6,8]
[[1,2,5,6,8],[3],[4],[7]]=>[7,4,3,1,2,5,6,8]=>[3,1,4,7,2,5,6,8]
[[1,3,4,6,8],[2],[5],[7]]=>[7,5,2,1,3,4,6,8]=>[2,5,1,3,7,4,6,8]
[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>[3,1,5,2,7,4,6,8]
[[1,2,3,6,8],[4],[5],[7]]=>[7,5,4,1,2,3,6,8]=>[4,1,2,5,7,3,6,8]
[[1,2,4,5,8],[3],[6],[7]]=>[7,6,3,1,2,4,5,8]=>[3,1,6,2,4,7,5,8]
[[1,2,3,5,8],[4],[6],[7]]=>[7,6,4,1,2,3,5,8]=>[4,1,2,6,3,7,5,8]
[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>[5,1,2,3,6,7,4,8]
[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>[2,3,8,1,4,5,6,7]
[[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>[2,4,1,8,3,5,6,7]
[[1,2,5,6,7],[3],[4],[8]]=>[8,4,3,1,2,5,6,7]=>[3,1,4,8,2,5,6,7]
[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>[2,5,1,3,8,4,6,7]
[[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>[3,1,5,2,8,4,6,7]
[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>[4,1,2,5,8,3,6,7]
[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>[4,1,2,6,3,8,5,7]
[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>[5,1,2,3,6,8,4,7]
[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>[2,7,1,3,4,5,8,6]
[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>[4,1,2,7,3,5,8,6]
[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>[5,1,2,3,7,4,8,6]
[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,5]
[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>[8,2,1,4,3,6,5,7]
[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>[8,1,3,4,2,6,5,7]
[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>[8,2,1,3,5,6,4,7]
[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>[8,1,3,2,5,6,4,7]
[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>[8,1,2,4,5,6,3,7]
[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>[8,2,1,4,3,5,7,6]
[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>[8,1,3,4,2,5,7,6]
[[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>[8,2,1,3,5,4,7,6]
[[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>[8,1,3,2,5,4,7,6]
[[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>[8,1,2,4,5,3,7,6]
[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>[8,2,1,3,4,6,7,5]
[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>[8,1,3,2,4,6,7,5]
[[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>[8,1,2,4,3,6,7,5]
[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>[8,1,2,3,5,6,7,4]
[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>[7,3,2,1,5,4,6,8]
[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>[7,4,1,2,5,3,6,8]
[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>[7,1,4,3,5,2,6,8]
[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>[7,5,1,2,4,3,6,8]
[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>[7,1,5,3,4,2,6,8]
[[1,4,5,8],[2,6,7],[3]]=>[3,2,6,7,1,4,5,8]=>[7,3,2,1,4,6,5,8]
[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>[7,4,1,2,3,6,5,8]
[[1,2,5,8],[3,6,7],[4]]=>[4,3,6,7,1,2,5,8]=>[7,1,4,3,2,6,5,8]
[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>[7,5,1,3,2,6,4,8]
[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>[7,1,5,2,3,6,4,8]
[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>[7,1,2,5,4,6,3,8]
[[1,3,5,8],[2,4,7],[6]]=>[6,2,4,7,1,3,5,8]=>[7,6,1,2,3,4,5,8]
[[1,2,5,8],[3,4,7],[6]]=>[6,3,4,7,1,2,5,8]=>[7,1,6,3,2,4,5,8]
[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>[7,6,1,3,2,5,4,8]
[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>[7,1,6,2,3,5,4,8]
[[1,2,3,8],[4,5,7],[6]]=>[6,4,5,7,1,2,3,8]=>[7,1,2,6,4,5,3,8]
[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>[6,7,1,2,3,4,5,8]
[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>[6,1,7,3,2,4,5,8]
[[1,3,4,8],[2,5,6],[7]]=>[7,2,5,6,1,3,4,8]=>[6,7,1,3,2,5,4,8]
[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>[6,1,7,2,3,5,4,8]
[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>[6,1,2,7,4,5,3,8]
[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>[8,3,2,1,5,4,6,7]
[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>[8,4,1,2,5,3,6,7]
[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>[8,1,4,3,5,2,6,7]
[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>[8,5,1,2,4,3,6,7]
[[1,2,6,7],[3,4,8],[5]]=>[5,3,4,8,1,2,6,7]=>[8,1,5,3,4,2,6,7]
[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>[8,3,2,1,4,6,5,7]
[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>[8,4,1,2,3,6,5,7]
[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>[8,1,4,3,2,6,5,7]
[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>[8,5,1,3,2,6,4,7]
[[1,2,4,7],[3,6,8],[5]]=>[5,3,6,8,1,2,4,7]=>[8,1,5,2,3,6,4,7]
[[1,2,3,7],[4,6,8],[5]]=>[5,4,6,8,1,2,3,7]=>[8,1,2,5,4,6,3,7]
[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>[8,6,1,2,3,4,5,7]
[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>[8,1,6,3,2,4,5,7]
[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>[8,6,1,3,2,5,4,7]
[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>[8,1,6,2,3,5,4,7]
[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>[8,1,2,6,4,5,3,7]
[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>[8,3,2,1,4,5,7,6]
[[1,3,5,6],[2,7,8],[4]]=>[4,2,7,8,1,3,5,6]=>[8,4,1,2,3,5,7,6]
[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>[8,1,4,3,2,5,7,6]
[[1,3,4,6],[2,7,8],[5]]=>[5,2,7,8,1,3,4,6]=>[8,5,1,3,2,4,7,6]
[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>[8,1,5,2,3,4,7,6]
[[1,2,3,6],[4,7,8],[5]]=>[5,4,7,8,1,2,3,6]=>[8,1,2,5,4,3,7,6]
[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>[8,6,1,3,4,2,7,5]
[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>[8,1,6,2,4,3,7,5]
[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>[8,1,2,6,3,4,7,5]
[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>[8,1,2,3,6,5,7,4]
[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>[8,7,1,2,3,5,4,6]
[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>[8,1,7,3,2,5,4,6]
[[1,3,4,6],[2,5,8],[7]]=>[7,2,5,8,1,3,4,6]=>[8,7,1,3,2,4,5,6]
[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>[8,1,7,2,3,4,5,6]
[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>[8,1,2,7,4,3,5,6]
[[1,3,4,5],[2,6,8],[7]]=>[7,2,6,8,1,3,4,5]=>[8,7,1,3,4,2,6,5]
[[1,2,4,5],[3,6,8],[7]]=>[7,3,6,8,1,2,4,5]=>[8,1,7,2,4,3,6,5]
[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>[8,1,2,7,3,4,6,5]
[[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>[8,1,2,3,7,5,6,4]
[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>[6,8,1,2,3,4,5,7]
[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>[6,1,8,3,2,4,5,7]
[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>[6,8,1,3,2,5,4,7]
[[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>[6,1,8,2,3,5,4,7]
[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>[6,1,2,8,4,5,3,7]
[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>[7,8,1,2,3,5,4,6]
[[1,2,5,6],[3,4,7],[8]]=>[8,3,4,7,1,2,5,6]=>[7,1,8,3,2,5,4,6]
[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>[7,8,1,3,2,4,5,6]
[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>[7,1,8,2,3,4,5,6]
[[1,2,3,6],[4,5,7],[8]]=>[8,4,5,7,1,2,3,6]=>[7,1,2,8,4,3,5,6]
[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>[7,8,1,3,4,2,6,5]
[[1,2,4,5],[3,6,7],[8]]=>[8,3,6,7,1,2,4,5]=>[7,1,8,2,4,3,6,5]
[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>[7,1,2,8,3,4,6,5]
[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>[7,1,2,3,8,5,6,4]
[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>[5,6,3,1,2,4,7,8]
[[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>[5,6,1,4,2,3,7,8]
[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>[5,1,6,4,3,2,7,8]
[[1,3,7,8],[2,4],[5,6]]=>[5,6,2,4,1,3,7,8]=>[4,6,1,2,5,3,7,8]
[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>[4,1,6,3,5,2,7,8]
[[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>[5,7,3,1,2,4,6,8]
[[1,3,6,8],[2,5],[4,7]]=>[4,7,2,5,1,3,6,8]=>[5,7,1,4,2,3,6,8]
[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>[5,1,7,4,3,2,6,8]
[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>[4,7,1,2,5,3,6,8]
[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>[4,1,7,3,5,2,6,8]
[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>[6,7,3,1,4,2,5,8]
[[1,3,5,8],[2,6],[4,7]]=>[4,7,2,6,1,3,5,8]=>[6,7,1,4,3,2,5,8]
[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>[6,1,7,4,2,3,5,8]
[[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>[6,7,1,3,5,2,4,8]
[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>[6,1,7,2,5,3,4,8]
[[1,2,3,8],[4,6],[5,7]]=>[5,7,4,6,1,2,3,8]=>[6,1,2,7,5,4,3,8]
[[1,3,5,8],[2,4],[6,7]]=>[6,7,2,4,1,3,5,8]=>[4,7,1,2,3,6,5,8]
[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>[4,1,7,3,2,6,5,8]
[[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>[5,7,1,3,2,6,4,8]
[[1,2,4,8],[3,5],[6,7]]=>[6,7,3,5,1,2,4,8]=>[5,1,7,2,3,6,4,8]
[[1,2,3,8],[4,5],[6,7]]=>[6,7,4,5,1,2,3,8]=>[5,1,2,7,4,6,3,8]
[[1,4,6,7],[2,5],[3,8]]=>[3,8,2,5,1,4,6,7]=>[5,8,3,1,2,4,6,7]
[[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>[5,8,1,4,2,3,6,7]
[[1,2,6,7],[3,5],[4,8]]=>[4,8,3,5,1,2,6,7]=>[5,1,8,4,3,2,6,7]
[[1,3,6,7],[2,4],[5,8]]=>[5,8,2,4,1,3,6,7]=>[4,8,1,2,5,3,6,7]
[[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>[4,1,8,3,5,2,6,7]
[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>[6,8,3,1,4,2,5,7]
[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>[6,8,1,4,3,2,5,7]
[[1,3,4,7],[2,6],[5,8]]=>[5,8,2,6,1,3,4,7]=>[6,8,1,3,5,2,4,7]
[[1,2,4,7],[3,6],[5,8]]=>[5,8,3,6,1,2,4,7]=>[6,1,8,2,5,3,4,7]
[[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>[6,1,2,8,5,4,3,7]
[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>[4,8,1,2,3,6,5,7]
[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>[4,1,8,3,2,6,5,7]
[[1,3,4,7],[2,5],[6,8]]=>[6,8,2,5,1,3,4,7]=>[5,8,1,3,2,6,4,7]
[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>[5,1,8,2,3,6,4,7]
[[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>[5,1,2,8,4,6,3,7]
[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>[7,8,3,1,4,5,2,6]
[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>[7,8,1,4,3,5,2,6]
[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>[7,1,8,4,2,5,3,6]
[[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>[7,8,1,3,5,4,2,6]
[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>[7,1,8,2,5,4,3,6]
[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>[7,1,2,8,5,3,4,6]
[[1,3,4,5],[2,7],[6,8]]=>[6,8,2,7,1,3,4,5]=>[7,8,1,3,4,6,2,5]
[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>[7,1,8,2,4,6,3,5]
[[1,2,3,5],[4,7],[6,8]]=>[6,8,4,7,1,2,3,5]=>[7,1,2,8,3,6,4,5]
[[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>[7,1,2,3,8,6,5,4]
[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>[4,8,1,2,3,5,7,6]
[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>[4,1,8,3,2,5,7,6]
[[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>[5,8,1,3,2,4,7,6]
[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>[5,1,8,2,3,4,7,6]
[[1,2,3,6],[4,5],[7,8]]=>[7,8,4,5,1,2,3,6]=>[5,1,2,8,4,3,7,6]
[[1,3,4,5],[2,6],[7,8]]=>[7,8,2,6,1,3,4,5]=>[6,8,1,3,4,2,7,5]
[[1,2,4,5],[3,6],[7,8]]=>[7,8,3,6,1,2,4,5]=>[6,1,8,2,4,3,7,5]
[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>[6,1,2,8,3,4,7,5]
[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,7,4]
[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>[6,3,4,2,1,5,7,8]
[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>[6,3,5,1,2,4,7,8]
[[1,3,7,8],[2,6],[4],[5]]=>[5,4,2,6,1,3,7,8]=>[6,4,1,5,2,3,7,8]
[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>[6,1,4,5,3,2,7,8]
[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>[5,3,6,1,2,4,7,8]
[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>[5,4,1,6,2,3,7,8]
[[1,2,7,8],[3,5],[4],[6]]=>[6,4,3,5,1,2,7,8]=>[5,1,4,6,3,2,7,8]
[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>[4,5,1,2,6,3,7,8]
[[1,2,7,8],[3,4],[5],[6]]=>[6,5,3,4,1,2,7,8]=>[4,1,5,3,6,2,7,8]
[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>[7,3,4,2,1,5,6,8]
[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>[7,3,5,1,2,4,6,8]
[[1,3,6,8],[2,7],[4],[5]]=>[5,4,2,7,1,3,6,8]=>[7,4,1,5,2,3,6,8]
[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>[7,1,4,5,3,2,6,8]
[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>[7,3,6,1,4,2,5,8]
[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>[7,4,1,6,3,2,5,8]
[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>[7,1,4,6,2,3,5,8]
[[1,3,4,8],[2,7],[5],[6]]=>[6,5,2,7,1,3,4,8]=>[7,5,1,3,6,2,4,8]
[[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>[7,1,5,2,6,3,4,8]
[[1,2,3,8],[4,7],[5],[6]]=>[6,5,4,7,1,2,3,8]=>[7,1,2,5,6,4,3,8]
[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>[5,3,7,1,2,4,6,8]
[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>[5,4,1,7,2,3,6,8]
[[1,2,6,8],[3,5],[4],[7]]=>[7,4,3,5,1,2,6,8]=>[5,1,4,7,3,2,6,8]
[[1,3,6,8],[2,4],[5],[7]]=>[7,5,2,4,1,3,6,8]=>[4,5,1,2,7,3,6,8]
[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>[4,1,5,3,7,2,6,8]
[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>[6,3,7,1,4,2,5,8]
[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>[6,4,1,7,3,2,5,8]
[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>[6,1,4,7,2,3,5,8]
[[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>[6,5,1,3,7,2,4,8]
[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>[6,1,5,2,7,3,4,8]
[[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>[6,1,2,5,7,4,3,8]
[[1,2,5,8],[3,4],[6],[7]]=>[7,6,3,4,1,2,5,8]=>[4,1,6,3,2,7,5,8]
[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>[5,1,6,2,3,7,4,8]
[[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>[5,1,2,6,4,7,3,8]
[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>[8,3,4,2,1,5,6,7]
[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>[8,3,5,1,2,4,6,7]
[[1,3,6,7],[2,8],[4],[5]]=>[5,4,2,8,1,3,6,7]=>[8,4,1,5,2,3,6,7]
[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>[8,1,4,5,3,2,6,7]
[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>[8,3,6,1,4,2,5,7]
[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>[8,4,1,6,3,2,5,7]
[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>[8,1,4,6,2,3,5,7]
[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>[8,5,1,3,6,2,4,7]
[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>[8,1,5,2,6,3,4,7]
[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>[8,1,2,5,6,4,3,7]
[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>[8,3,7,1,4,5,2,6]
[[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>[8,4,1,7,3,5,2,6]
[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>[8,1,4,7,2,5,3,6]
[[1,3,4,6],[2,8],[5],[7]]=>[7,5,2,8,1,3,4,6]=>[8,5,1,3,7,4,2,6]
[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>[8,1,5,2,7,4,3,6]
[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>[8,1,2,5,7,3,4,6]
[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>[8,6,1,3,4,7,2,5]
[[1,2,3,5],[4,8],[6],[7]]=>[7,6,4,8,1,2,3,5]=>[8,1,2,6,3,7,4,5]
[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>[8,1,2,3,6,7,5,4]
[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>[5,3,8,1,2,4,6,7]
[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>[5,4,1,8,2,3,6,7]
[[1,2,6,7],[3,5],[4],[8]]=>[8,4,3,5,1,2,6,7]=>[5,1,4,8,3,2,6,7]
[[1,3,6,7],[2,4],[5],[8]]=>[8,5,2,4,1,3,6,7]=>[4,5,1,2,8,3,6,7]
[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>[4,1,5,3,8,2,6,7]
[[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>[6,3,8,1,4,2,5,7]
[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>[6,4,1,8,3,2,5,7]
[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>[6,1,5,2,8,3,4,7]
[[1,2,3,7],[4,6],[5],[8]]=>[8,5,4,6,1,2,3,7]=>[6,1,2,5,8,4,3,7]
[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>[4,6,1,2,3,8,5,7]
[[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>[4,1,6,3,2,8,5,7]
[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>[5,6,1,3,2,8,4,7]
[[1,2,4,7],[3,5],[6],[8]]=>[8,6,3,5,1,2,4,7]=>[5,1,6,2,3,8,4,7]
[[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>[5,1,2,6,4,8,3,7]
[[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>[7,3,8,1,4,5,2,6]
[[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>[7,4,1,8,3,5,2,6]
[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>[7,1,4,8,2,5,3,6]
[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>[7,5,1,3,8,4,2,6]
[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>[7,1,5,2,8,4,3,6]
[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>[7,1,2,5,8,3,4,6]
[[1,3,4,5],[2,7],[6],[8]]=>[8,6,2,7,1,3,4,5]=>[7,6,1,3,4,8,2,5]
[[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>[7,1,6,2,4,8,3,5]
[[1,2,3,5],[4,7],[6],[8]]=>[8,6,4,7,1,2,3,5]=>[7,1,2,6,3,8,4,5]
[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>[7,1,2,3,6,8,5,4]
[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>[4,7,1,2,3,5,8,6]
[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>[4,1,7,3,2,5,8,6]
[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>[5,7,1,3,2,4,8,6]
[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>[5,1,7,2,3,4,8,6]
[[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>[5,1,2,7,4,3,8,6]
[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>[6,7,1,3,4,2,8,5]
[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>[6,1,7,2,4,3,8,5]
[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>[6,1,2,7,3,4,8,5]
[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>[6,1,2,3,7,5,8,4]
[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>[2,3,4,6,1,5,7,8]
[[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>[2,3,5,1,6,4,7,8]
[[1,3,7,8],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7,8]=>[2,4,1,5,6,3,7,8]
[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>[3,1,4,5,6,2,7,8]
[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>[2,3,4,7,1,5,6,8]
[[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>[2,3,5,1,7,4,6,8]
[[1,2,6,8],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6,8]=>[3,1,4,5,7,2,6,8]
[[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>[2,3,6,1,4,7,5,8]
[[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>[2,4,1,6,3,7,5,8]
[[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>[3,1,4,6,2,7,5,8]
[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>[2,5,1,3,6,7,4,8]
[[1,2,4,8],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4,8]=>[3,1,5,2,6,7,4,8]
[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>[4,1,2,5,6,7,3,8]
[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>[2,3,4,8,1,5,6,7]
[[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>[2,3,5,1,8,4,6,7]
[[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>[2,4,1,5,8,3,6,7]
[[1,2,6,7],[3],[4],[5],[8]]=>[8,5,4,3,1,2,6,7]=>[3,1,4,5,8,2,6,7]
[[1,4,5,7],[2],[3],[6],[8]]=>[8,6,3,2,1,4,5,7]=>[2,3,6,1,4,8,5,7]
[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>[2,4,1,6,3,8,5,7]
[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>[3,1,4,6,2,8,5,7]
[[1,3,4,7],[2],[5],[6],[8]]=>[8,6,5,2,1,3,4,7]=>[2,5,1,3,6,8,4,7]
[[1,2,4,7],[3],[5],[6],[8]]=>[8,6,5,3,1,2,4,7]=>[3,1,5,2,6,8,4,7]
[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>[4,1,2,5,6,8,3,7]
[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>[2,3,7,1,4,5,8,6]
[[1,3,5,6],[2],[4],[7],[8]]=>[8,7,4,2,1,3,5,6]=>[2,4,1,7,3,5,8,6]
[[1,2,5,6],[3],[4],[7],[8]]=>[8,7,4,3,1,2,5,6]=>[3,1,4,7,2,5,8,6]
[[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>[2,5,1,3,7,4,8,6]
[[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>[3,1,5,2,7,4,8,6]
[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>[4,1,2,5,7,3,8,6]
[[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>[2,6,1,3,4,7,8,5]
[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>[3,1,6,2,4,7,8,5]
[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>[4,1,2,6,3,7,8,5]
[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,4]
[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>[8,6,3,1,2,5,4,7]
[[1,3,7],[2,5,8],[4,6]]=>[4,6,2,5,8,1,3,7]=>[8,6,1,4,2,5,3,7]
[[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>[8,1,6,4,3,5,2,7]
[[1,3,7],[2,4,8],[5,6]]=>[5,6,2,4,8,1,3,7]=>[8,6,1,2,5,4,3,7]
[[1,2,7],[3,4,8],[5,6]]=>[5,6,3,4,8,1,2,7]=>[8,1,6,3,5,4,2,7]
[[1,4,6],[2,5,8],[3,7]]=>[3,7,2,5,8,1,4,6]=>[8,7,3,1,2,4,5,6]
[[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>[8,7,1,4,2,3,5,6]
[[1,2,6],[3,5,8],[4,7]]=>[4,7,3,5,8,1,2,6]=>[8,1,7,4,3,2,5,6]
[[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>[8,7,1,2,5,3,4,6]
[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>[8,1,7,3,5,2,4,6]
[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>[8,7,3,1,4,2,6,5]
[[1,3,5],[2,6,8],[4,7]]=>[4,7,2,6,8,1,3,5]=>[8,7,1,4,3,2,6,5]
[[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>[8,1,7,4,2,3,6,5]
[[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>[8,7,1,3,5,2,6,4]
[[1,2,4],[3,6,8],[5,7]]=>[5,7,3,6,8,1,2,4]=>[8,1,7,2,5,3,6,4]
[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>[8,1,2,7,5,4,6,3]
[[1,3,5],[2,4,8],[6,7]]=>[6,7,2,4,8,1,3,5]=>[8,7,1,2,3,6,4,5]
[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>[8,1,7,3,2,6,4,5]
[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>[8,1,7,2,3,6,5,4]
[[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>[8,1,2,7,4,6,5,3]
[[1,4,6],[2,5,7],[3,8]]=>[3,8,2,5,7,1,4,6]=>[7,8,3,1,2,4,5,6]
[[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>[7,8,1,4,2,3,5,6]
[[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>[7,1,8,4,3,2,5,6]
[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>[7,8,1,2,5,3,4,6]
[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>[7,8,3,1,4,2,6,5]
[[1,3,5],[2,6,7],[4,8]]=>[4,8,2,6,7,1,3,5]=>[7,8,1,4,3,2,6,5]
[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>[7,1,8,4,2,3,6,5]
[[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>[7,8,1,3,5,2,6,4]
[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>[7,1,8,2,5,3,6,4]
[[1,2,3],[4,6,7],[5,8]]=>[5,8,4,6,7,1,2,3]=>[7,1,2,8,5,4,6,3]
[[1,3,5],[2,4,7],[6,8]]=>[6,8,2,4,7,1,3,5]=>[7,8,1,2,3,6,4,5]
[[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>[7,8,1,3,2,6,5,4]
[[1,2,4],[3,5,7],[6,8]]=>[6,8,3,5,7,1,2,4]=>[7,1,8,2,3,6,5,4]
[[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>[7,1,2,8,4,6,5,3]
[[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>[6,8,1,2,3,4,7,5]
[[1,2,5],[3,4,6],[7,8]]=>[7,8,3,4,6,1,2,5]=>[6,1,8,3,2,4,7,5]
[[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>[6,8,1,3,2,5,7,4]
[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>[6,1,8,2,3,5,7,4]
[[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>[6,1,2,8,4,5,7,3]
[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>[8,3,4,2,1,6,5,7]
[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>[8,3,5,1,2,6,4,7]
[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>[8,4,1,5,2,6,3,7]
[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>[8,1,4,5,3,6,2,7]
[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>[8,3,6,1,2,5,4,7]
[[1,3,7],[2,5,8],[4],[6]]=>[6,4,2,5,8,1,3,7]=>[8,4,1,6,2,5,3,7]
[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>[8,1,4,6,3,5,2,7]
[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>[8,5,1,2,6,4,3,7]
[[1,2,7],[3,4,8],[5],[6]]=>[6,5,3,4,8,1,2,7]=>[8,1,5,3,6,4,2,7]
[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>[8,3,4,2,1,5,7,6]
[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>[8,3,5,1,2,4,7,6]
[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>[8,4,1,5,2,3,7,6]
[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>[8,1,4,5,3,2,7,6]
[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>[8,3,6,1,4,2,7,5]
[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>[8,4,1,6,3,2,7,5]
[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>[8,1,4,6,2,3,7,5]
[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>[8,5,1,3,6,2,7,4]
[[1,2,4],[3,7,8],[5],[6]]=>[6,5,3,7,8,1,2,4]=>[8,1,5,2,6,3,7,4]
[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>[8,1,2,5,6,4,7,3]
[[1,4,6],[2,5,8],[3],[7]]=>[7,3,2,5,8,1,4,6]=>[8,3,7,1,2,4,5,6]
[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>[8,4,1,7,2,3,5,6]
[[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>[8,1,4,7,3,2,5,6]
[[1,3,6],[2,4,8],[5],[7]]=>[7,5,2,4,8,1,3,6]=>[8,5,1,2,7,3,4,6]
[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>[8,1,5,3,7,2,4,6]
[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>[8,3,7,1,4,2,6,5]
[[1,3,5],[2,6,8],[4],[7]]=>[7,4,2,6,8,1,3,5]=>[8,4,1,7,3,2,6,5]
[[1,2,5],[3,6,8],[4],[7]]=>[7,4,3,6,8,1,2,5]=>[8,1,4,7,2,3,6,5]
[[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>[8,5,1,3,7,2,6,4]
[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>[8,1,5,2,7,3,6,4]
[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>[8,1,2,5,7,4,6,3]
[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>[8,6,1,2,3,7,4,5]
[[1,2,5],[3,4,8],[6],[7]]=>[7,6,3,4,8,1,2,5]=>[8,1,6,3,2,7,4,5]
[[1,3,4],[2,5,8],[6],[7]]=>[7,6,2,5,8,1,3,4]=>[8,6,1,3,2,7,5,4]
[[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>[8,1,6,2,3,7,5,4]
[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>[8,1,2,6,4,7,5,3]
[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>[7,3,8,1,2,4,5,6]
[[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>[7,4,1,8,2,3,5,6]
[[1,2,6],[3,5,7],[4],[8]]=>[8,4,3,5,7,1,2,6]=>[7,1,4,8,3,2,5,6]
[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>[7,5,1,2,8,3,4,6]
[[1,2,6],[3,4,7],[5],[8]]=>[8,5,3,4,7,1,2,6]=>[7,1,5,3,8,2,4,6]
[[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>[7,3,8,1,4,2,6,5]
[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>[7,4,1,8,3,2,6,5]
[[1,2,5],[3,6,7],[4],[8]]=>[8,4,3,6,7,1,2,5]=>[7,1,4,8,2,3,6,5]
[[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>[7,5,1,3,8,2,6,4]
[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>[7,1,5,2,8,3,6,4]
[[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>[7,1,2,5,8,4,6,3]
[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>[7,6,1,2,3,8,4,5]
[[1,2,5],[3,4,7],[6],[8]]=>[8,6,3,4,7,1,2,5]=>[7,1,6,3,2,8,4,5]
[[1,3,4],[2,5,7],[6],[8]]=>[8,6,2,5,7,1,3,4]=>[7,6,1,3,2,8,5,4]
[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>[7,1,6,2,3,8,5,4]
[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>[7,1,2,6,4,8,5,3]
[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>[6,7,1,2,3,4,8,5]
[[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>[6,1,7,3,2,4,8,5]
[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>[6,7,1,3,2,5,8,4]
[[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>[6,1,7,2,3,5,8,4]
[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>[6,1,2,7,4,5,8,3]
[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[6,7,4,3,1,2,5,8]
[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[6,7,5,1,3,2,4,8]
[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[6,7,1,5,4,2,3,8]
[[1,2,8],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2,8]=>[6,1,7,5,4,3,2,8]
[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[5,7,6,1,2,3,4,8]
[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>[5,7,1,6,2,4,3,8]
[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>[5,1,7,6,3,4,2,8]
[[1,3,8],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3,8]=>[4,7,1,2,6,5,3,8]
[[1,2,8],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2,8]=>[4,1,7,3,6,5,2,8]
[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[5,6,7,1,2,3,4,8]
[[1,3,8],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3,8]=>[5,6,1,7,2,4,3,8]
[[1,2,8],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2,8]=>[5,1,6,7,3,4,2,8]
[[1,3,8],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3,8]=>[4,6,1,2,7,5,3,8]
[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>[4,1,6,3,7,5,2,8]
[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>[6,8,4,3,1,2,5,7]
[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[6,8,5,1,3,2,4,7]
[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[6,8,1,5,4,2,3,7]
[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>[6,1,8,5,4,3,2,7]
[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[5,8,6,1,2,3,4,7]
[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>[5,8,1,6,2,4,3,7]
[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>[5,1,8,6,3,4,2,7]
[[1,3,7],[2,4],[5,8],[6]]=>[6,5,8,2,4,1,3,7]=>[4,8,1,2,6,5,3,7]
[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>[4,1,8,3,6,5,2,7]
[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>[7,8,4,3,1,5,2,6]
[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[7,8,5,1,3,4,2,6]
[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[7,8,1,5,4,3,2,6]
[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>[7,1,8,5,4,2,3,6]
[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>[7,8,6,1,4,3,2,5]
[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[7,8,1,6,3,4,2,5]
[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>[7,1,8,6,2,4,3,5]
[[1,3,4],[2,7],[5,8],[6]]=>[6,5,8,2,7,1,3,4]=>[7,8,1,3,6,5,2,4]
[[1,2,4],[3,7],[5,8],[6]]=>[6,5,8,3,7,1,2,4]=>[7,1,8,2,6,5,3,4]
[[1,2,3],[4,7],[5,8],[6]]=>[6,5,8,4,7,1,2,3]=>[7,1,2,8,6,5,4,3]
[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>[5,8,7,1,2,4,3,6]
[[1,3,6],[2,5],[4,8],[7]]=>[7,4,8,2,5,1,3,6]=>[5,8,1,7,2,3,4,6]
[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>[5,1,8,7,3,2,4,6]
[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>[4,8,1,2,7,3,5,6]
[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>[4,1,8,3,7,2,5,6]
[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>[6,8,7,1,4,2,3,5]
[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>[6,8,1,7,3,2,4,5]
[[1,2,5],[3,6],[4,8],[7]]=>[7,4,8,3,6,1,2,5]=>[6,1,8,7,2,3,4,5]
[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>[6,8,1,3,7,2,5,4]
[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>[6,1,8,2,7,3,5,4]
[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>[6,1,2,8,7,4,5,3]
[[1,3,5],[2,4],[6,8],[7]]=>[7,6,8,2,4,1,3,5]=>[4,8,1,2,3,7,6,5]
[[1,2,5],[3,4],[6,8],[7]]=>[7,6,8,3,4,1,2,5]=>[4,1,8,3,2,7,6,5]
[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>[5,8,1,3,2,7,6,4]
[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>[5,1,8,2,3,7,6,4]
[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>[5,6,8,1,2,3,4,7]
[[1,3,7],[2,5],[4,6],[8]]=>[8,4,6,2,5,1,3,7]=>[5,6,1,8,2,4,3,7]
[[1,2,7],[3,5],[4,6],[8]]=>[8,4,6,3,5,1,2,7]=>[5,1,6,8,3,4,2,7]
[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>[4,6,1,2,8,5,3,7]
[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>[4,1,6,3,8,5,2,7]
[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>[5,7,8,1,2,4,3,6]
[[1,2,6],[3,5],[4,7],[8]]=>[8,4,7,3,5,1,2,6]=>[5,1,7,8,3,2,4,6]
[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>[4,7,1,2,8,3,5,6]
[[1,2,6],[3,4],[5,7],[8]]=>[8,5,7,3,4,1,2,6]=>[4,1,7,3,8,2,5,6]
[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>[6,7,8,1,4,2,3,5]
[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>[6,7,1,8,3,2,4,5]
[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>[6,1,7,8,2,3,4,5]
[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>[6,7,1,3,8,2,5,4]
[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>[4,7,1,2,3,8,6,5]
[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>[4,1,7,3,2,8,6,5]
[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>[5,7,1,3,2,8,6,4]
[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>[5,1,7,2,3,8,6,4]
[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>[5,1,2,7,4,8,6,3]
[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>[7,3,4,5,2,1,6,8]
[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>[7,3,4,6,1,2,5,8]
[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>[7,3,5,1,6,2,4,8]
[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>[7,4,1,5,6,2,3,8]
[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>[7,1,4,5,6,3,2,8]
[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>[6,3,5,1,7,2,4,8]
[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>[6,4,1,5,7,2,3,8]
[[1,2,8],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2,8]=>[6,1,4,5,7,3,2,8]
[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>[5,3,6,1,2,7,4,8]
[[1,3,8],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3,8]=>[5,4,1,6,2,7,3,8]
[[1,2,8],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2,8]=>[5,1,4,6,3,7,2,8]
[[1,3,8],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3,8]=>[4,5,1,2,6,7,3,8]
[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>[4,1,5,3,6,7,2,8]
[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>[8,3,4,5,2,1,6,7]
[[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>[8,3,5,1,6,2,4,7]
[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>[8,4,1,5,6,2,3,7]
[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>[8,1,4,5,6,3,2,7]
[[1,5,6],[2,8],[3],[4],[7]]=>[7,4,3,2,8,1,5,6]=>[8,3,4,7,1,5,2,6]
[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>[8,3,5,1,7,4,2,6]
[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>[8,4,1,5,7,3,2,6]
[[1,2,6],[3,8],[4],[5],[7]]=>[7,5,4,3,8,1,2,6]=>[8,1,4,5,7,2,3,6]
[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>[8,3,6,1,4,7,2,5]
[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>[8,1,4,6,2,7,3,5]
[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>[8,5,1,3,6,7,2,4]
[[1,2,4],[3,8],[5],[6],[7]]=>[7,6,5,3,8,1,2,4]=>[8,1,5,2,6,7,3,4]
[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>[8,1,2,5,6,7,4,3]
[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>[6,3,5,1,8,2,4,7]
[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>[6,4,1,5,8,2,3,7]
[[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>[6,1,4,5,8,3,2,7]
[[1,4,7],[2,5],[3],[6],[8]]=>[8,6,3,2,5,1,4,7]=>[5,3,6,1,2,8,4,7]
[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>[5,4,1,6,2,8,3,7]
[[1,2,7],[3,5],[4],[6],[8]]=>[8,6,4,3,5,1,2,7]=>[5,1,4,6,3,8,2,7]
[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>[4,5,1,2,6,8,3,7]
[[1,2,7],[3,4],[5],[6],[8]]=>[8,6,5,3,4,1,2,7]=>[4,1,5,3,6,8,2,7]
[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>[7,3,5,1,8,4,2,6]
[[1,3,6],[2,7],[4],[5],[8]]=>[8,5,4,2,7,1,3,6]=>[7,4,1,5,8,3,2,6]
[[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>[7,3,6,1,4,8,2,5]
[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>[7,4,1,6,3,8,2,5]
[[1,2,5],[3,7],[4],[6],[8]]=>[8,6,4,3,7,1,2,5]=>[7,1,4,6,2,8,3,5]
[[1,3,4],[2,7],[5],[6],[8]]=>[8,6,5,2,7,1,3,4]=>[7,5,1,3,6,8,2,4]
[[1,2,4],[3,7],[5],[6],[8]]=>[8,6,5,3,7,1,2,4]=>[7,1,5,2,6,8,3,4]
[[1,2,3],[4,7],[5],[6],[8]]=>[8,6,5,4,7,1,2,3]=>[7,1,2,5,6,8,4,3]
[[1,4,6],[2,5],[3],[7],[8]]=>[8,7,3,2,5,1,4,6]=>[5,3,7,1,2,4,8,6]
[[1,3,6],[2,5],[4],[7],[8]]=>[8,7,4,2,5,1,3,6]=>[5,4,1,7,2,3,8,6]
[[1,2,6],[3,5],[4],[7],[8]]=>[8,7,4,3,5,1,2,6]=>[5,1,4,7,3,2,8,6]
[[1,3,6],[2,4],[5],[7],[8]]=>[8,7,5,2,4,1,3,6]=>[4,5,1,2,7,3,8,6]
[[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>[4,1,5,3,7,2,8,6]
[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>[6,3,7,1,4,2,8,5]
[[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>[6,4,1,7,3,2,8,5]
[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>[6,1,4,7,2,3,8,5]
[[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>[6,5,1,3,7,2,8,4]
[[1,2,4],[3,6],[5],[7],[8]]=>[8,7,5,3,6,1,2,4]=>[6,1,5,2,7,3,8,4]
[[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>[6,1,2,5,7,4,8,3]
[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>[4,6,1,2,3,7,8,5]
[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>[4,1,6,3,2,7,8,5]
[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>[5,6,1,3,2,7,8,4]
[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>[5,1,6,2,3,7,8,4]
[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>[5,1,2,6,4,7,8,3]
[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>[2,3,4,5,6,1,7,8]
[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>[2,3,4,5,7,1,6,8]
[[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>[2,3,4,6,1,7,5,8]
[[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>[2,3,5,1,6,7,4,8]
[[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>[2,4,1,5,6,7,3,8]
[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>[3,1,4,5,6,7,2,8]
[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>[2,3,4,5,8,1,6,7]
[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>[2,3,4,6,1,8,5,7]
[[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>[2,3,5,1,6,8,4,7]
[[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>[2,4,1,5,6,8,3,7]
[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>[3,1,4,5,6,8,2,7]
[[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>[2,3,4,7,1,5,8,6]
[[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>[2,3,5,1,7,4,8,6]
[[1,3,6],[2],[4],[5],[7],[8]]=>[8,7,5,4,2,1,3,6]=>[2,4,1,5,7,3,8,6]
[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>[3,1,4,5,7,2,8,6]
[[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>[2,3,6,1,4,7,8,5]
[[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>[2,4,1,6,3,7,8,5]
[[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>[3,1,4,6,2,7,8,5]
[[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>[2,5,1,3,6,7,8,4]
[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>[3,1,5,2,6,7,8,4]
[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,3]
[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[6,7,8,4,1,2,3,5]
[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[6,7,8,1,5,2,3,4]
[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[6,7,1,8,5,2,4,3]
[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>[6,1,7,8,5,3,4,2]
[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[5,7,8,1,2,6,3,4]
[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[5,7,1,8,2,6,4,3]
[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>[5,1,7,8,3,6,4,2]
[[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>[4,7,1,2,8,6,5,3]
[[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>[4,1,7,3,8,6,5,2]
[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>[5,6,8,1,2,3,7,4]
[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>[5,6,1,8,2,4,7,3]
[[1,2],[3,5],[4,6],[7,8]]=>[7,8,4,6,3,5,1,2]=>[5,1,6,8,3,4,7,2]
[[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>[4,6,1,2,8,5,7,3]
[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,7,2]
[[1,6],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6]=>[7,8,4,5,3,1,2,6]
[[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>[7,8,4,6,1,3,2,5]
[[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>[7,8,5,1,6,3,2,4]
[[1,3],[2,7],[4,8],[5],[6]]=>[6,5,4,8,2,7,1,3]=>[7,8,1,5,6,4,2,3]
[[1,2],[3,7],[4,8],[5],[6]]=>[6,5,4,8,3,7,1,2]=>[7,1,8,5,6,4,3,2]
[[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>[6,8,4,7,1,2,3,5]
[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>[6,8,5,1,7,2,3,4]
[[1,3],[2,6],[4,8],[5],[7]]=>[7,5,4,8,2,6,1,3]=>[6,8,1,5,7,2,4,3]
[[1,2],[3,6],[4,8],[5],[7]]=>[7,5,4,8,3,6,1,2]=>[6,1,8,5,7,3,4,2]
[[1,4],[2,5],[3,8],[6],[7]]=>[7,6,3,8,2,5,1,4]=>[5,8,6,1,2,7,3,4]
[[1,3],[2,5],[4,8],[6],[7]]=>[7,6,4,8,2,5,1,3]=>[5,8,1,6,2,7,4,3]
[[1,2],[3,5],[4,8],[6],[7]]=>[7,6,4,8,3,5,1,2]=>[5,1,8,6,3,7,4,2]
[[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>[4,8,1,2,6,7,5,3]
[[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>[4,1,8,3,6,7,5,2]
[[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>[6,7,4,8,1,2,3,5]
[[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>[6,7,5,1,8,2,3,4]
[[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>[6,7,1,5,8,2,4,3]
[[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>[6,1,7,5,8,3,4,2]
[[1,4],[2,5],[3,7],[6],[8]]=>[8,6,3,7,2,5,1,4]=>[5,7,6,1,2,8,3,4]
[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>[5,7,1,6,2,8,4,3]
[[1,2],[3,5],[4,7],[6],[8]]=>[8,6,4,7,3,5,1,2]=>[5,1,7,6,3,8,4,2]
[[1,3],[2,4],[5,7],[6],[8]]=>[8,6,5,7,2,4,1,3]=>[4,7,1,2,6,8,5,3]
[[1,2],[3,4],[5,7],[6],[8]]=>[8,6,5,7,3,4,1,2]=>[4,1,7,3,6,8,5,2]
[[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>[5,6,7,1,2,3,8,4]
[[1,3],[2,5],[4,6],[7],[8]]=>[8,7,4,6,2,5,1,3]=>[5,6,1,7,2,4,8,3]
[[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>[5,1,6,7,3,4,8,2]
[[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>[4,6,1,2,7,5,8,3]
[[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>[4,1,6,3,7,5,8,2]
[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>[8,3,4,5,6,2,1,7]
[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>[8,3,4,5,7,1,2,6]
[[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>[8,3,4,6,1,7,2,5]
[[1,4],[2,8],[3],[5],[6],[7]]=>[7,6,5,3,2,8,1,4]=>[8,3,5,1,6,7,2,4]
[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>[8,4,1,5,6,7,2,3]
[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>[8,1,4,5,6,7,3,2]
[[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>[7,3,4,5,8,1,2,6]
[[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>[7,3,4,6,1,8,2,5]
[[1,4],[2,7],[3],[5],[6],[8]]=>[8,6,5,3,2,7,1,4]=>[7,3,5,1,6,8,2,4]
[[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>[7,4,1,5,6,8,2,3]
[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>[7,1,4,5,6,8,3,2]
[[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>[6,3,4,7,1,2,8,5]
[[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>[6,3,5,1,7,2,8,4]
[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>[6,4,1,5,7,2,8,3]
[[1,2],[3,6],[4],[5],[7],[8]]=>[8,7,5,4,3,6,1,2]=>[6,1,4,5,7,3,8,2]
[[1,4],[2,5],[3],[6],[7],[8]]=>[8,7,6,3,2,5,1,4]=>[5,3,6,1,2,7,8,4]
[[1,3],[2,5],[4],[6],[7],[8]]=>[8,7,6,4,2,5,1,3]=>[5,4,1,6,2,7,8,3]
[[1,2],[3,5],[4],[6],[7],[8]]=>[8,7,6,4,3,5,1,2]=>[5,1,4,6,3,7,8,2]
[[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>[4,5,1,2,6,7,8,3]
[[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>[4,1,5,3,6,7,8,2]
[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,7]
[[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>[2,3,4,5,7,1,8,6]
[[1,5],[2],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,8,5]
[[1,4],[2],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,4]
[[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,3]
[[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,2]
[[1],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[1,3,5,7,9],[2,4,6,8,10]]=>[2,4,6,8,10,1,3,5,7,9]=>[10,2,1,4,3,6,5,8,7,9]
[[1,3,5,7,8],[2,4,6,9,10]]=>[2,4,6,9,10,1,3,5,7,8]=>[10,2,1,4,3,6,5,7,9,8]
[[1,3,5,6,9],[2,4,7,8,10]]=>[2,4,7,8,10,1,3,5,6,9]=>[10,2,1,4,3,5,7,8,6,9]
[[1,3,5,6,8],[2,4,7,9,10]]=>[2,4,7,9,10,1,3,5,6,8]=>[10,2,1,4,3,5,7,6,9,8]
[[1,3,5,6,7],[2,4,8,9,10]]=>[2,4,8,9,10,1,3,5,6,7]=>[10,2,1,4,3,5,6,8,9,7]
[[1,3,4,7,9],[2,5,6,8,10]]=>[2,5,6,8,10,1,3,4,7,9]=>[10,2,1,3,5,6,4,8,7,9]
[[1,3,4,7,8],[2,5,6,9,10]]=>[2,5,6,9,10,1,3,4,7,8]=>[10,2,1,3,5,6,4,7,9,8]
[[1,3,4,6,9],[2,5,7,8,10]]=>[2,5,7,8,10,1,3,4,6,9]=>[10,2,1,3,5,4,7,8,6,9]
[[1,3,4,6,8],[2,5,7,9,10]]=>[2,5,7,9,10,1,3,4,6,8]=>[10,2,1,3,5,4,7,6,9,8]
[[1,3,4,6,7],[2,5,8,9,10]]=>[2,5,8,9,10,1,3,4,6,7]=>[10,2,1,3,5,4,6,8,9,7]
[[1,3,4,5,9],[2,6,7,8,10]]=>[2,6,7,8,10,1,3,4,5,9]=>[10,2,1,3,4,6,7,8,5,9]
[[1,3,4,5,8],[2,6,7,9,10]]=>[2,6,7,9,10,1,3,4,5,8]=>[10,2,1,3,4,6,7,5,9,8]
[[1,3,4,5,7],[2,6,8,9,10]]=>[2,6,8,9,10,1,3,4,5,7]=>[10,2,1,3,4,6,5,8,9,7]
[[1,3,4,5,6],[2,7,8,9,10]]=>[2,7,8,9,10,1,3,4,5,6]=>[10,2,1,3,4,5,7,8,9,6]
[[1,2,5,7,9],[3,4,6,8,10]]=>[3,4,6,8,10,1,2,5,7,9]=>[10,1,3,4,2,6,5,8,7,9]
[[1,2,5,7,8],[3,4,6,9,10]]=>[3,4,6,9,10,1,2,5,7,8]=>[10,1,3,4,2,6,5,7,9,8]
[[1,2,5,6,9],[3,4,7,8,10]]=>[3,4,7,8,10,1,2,5,6,9]=>[10,1,3,4,2,5,7,8,6,9]
[[1,2,5,6,8],[3,4,7,9,10]]=>[3,4,7,9,10,1,2,5,6,8]=>[10,1,3,4,2,5,7,6,9,8]
[[1,2,5,6,7],[3,4,8,9,10]]=>[3,4,8,9,10,1,2,5,6,7]=>[10,1,3,4,2,5,6,8,9,7]
[[1,2,4,7,9],[3,5,6,8,10]]=>[3,5,6,8,10,1,2,4,7,9]=>[10,1,3,2,5,6,4,8,7,9]
[[1,2,4,7,8],[3,5,6,9,10]]=>[3,5,6,9,10,1,2,4,7,8]=>[10,1,3,2,5,6,4,7,9,8]
[[1,2,4,6,9],[3,5,7,8,10]]=>[3,5,7,8,10,1,2,4,6,9]=>[10,1,3,2,5,4,7,8,6,9]
[[1,2,4,6,8],[3,5,7,9,10]]=>[3,5,7,9,10,1,2,4,6,8]=>[10,1,3,2,5,4,7,6,9,8]
[[1,2,4,6,7],[3,5,8,9,10]]=>[3,5,8,9,10,1,2,4,6,7]=>[10,1,3,2,5,4,6,8,9,7]
[[1,2,4,5,9],[3,6,7,8,10]]=>[3,6,7,8,10,1,2,4,5,9]=>[10,1,3,2,4,6,7,8,5,9]
[[1,2,4,5,8],[3,6,7,9,10]]=>[3,6,7,9,10,1,2,4,5,8]=>[10,1,3,2,4,6,7,5,9,8]
[[1,2,4,5,7],[3,6,8,9,10]]=>[3,6,8,9,10,1,2,4,5,7]=>[10,1,3,2,4,6,5,8,9,7]
[[1,2,4,5,6],[3,7,8,9,10]]=>[3,7,8,9,10,1,2,4,5,6]=>[10,1,3,2,4,5,7,8,9,6]
[[1,2,3,7,9],[4,5,6,8,10]]=>[4,5,6,8,10,1,2,3,7,9]=>[10,1,2,4,5,6,3,8,7,9]
[[1,2,3,7,8],[4,5,6,9,10]]=>[4,5,6,9,10,1,2,3,7,8]=>[10,1,2,4,5,6,3,7,9,8]
[[1,2,3,6,9],[4,5,7,8,10]]=>[4,5,7,8,10,1,2,3,6,9]=>[10,1,2,4,5,3,7,8,6,9]
[[1,2,3,6,8],[4,5,7,9,10]]=>[4,5,7,9,10,1,2,3,6,8]=>[10,1,2,4,5,3,7,6,9,8]
[[1,2,3,6,7],[4,5,8,9,10]]=>[4,5,8,9,10,1,2,3,6,7]=>[10,1,2,4,5,3,6,8,9,7]
[[1,2,3,5,9],[4,6,7,8,10]]=>[4,6,7,8,10,1,2,3,5,9]=>[10,1,2,4,3,6,7,8,5,9]
[[1,2,3,5,8],[4,6,7,9,10]]=>[4,6,7,9,10,1,2,3,5,8]=>[10,1,2,4,3,6,7,5,9,8]
[[1,2,3,5,7],[4,6,8,9,10]]=>[4,6,8,9,10,1,2,3,5,7]=>[10,1,2,4,3,6,5,8,9,7]
[[1,2,3,5,6],[4,7,8,9,10]]=>[4,7,8,9,10,1,2,3,5,6]=>[10,1,2,4,3,5,7,8,9,6]
[[1,2,3,4,9],[5,6,7,8,10]]=>[5,6,7,8,10,1,2,3,4,9]=>[10,1,2,3,5,6,7,8,4,9]
[[1,2,3,4,8],[5,6,7,9,10]]=>[5,6,7,9,10,1,2,3,4,8]=>[10,1,2,3,5,6,7,4,9,8]
[[1,2,3,4,7],[5,6,8,9,10]]=>[5,6,8,9,10,1,2,3,4,7]=>[10,1,2,3,5,6,4,8,9,7]
[[1,2,3,4,6],[5,7,8,9,10]]=>[5,7,8,9,10,1,2,3,4,6]=>[10,1,2,3,5,4,7,8,9,6]
[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>[10,1,2,3,4,6,7,8,9,5]
[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[12,2,1,4,3,6,5,8,7,10,9,11]
[[1,3,5,7,9,10],[2,4,6,8,11,12]]=>[2,4,6,8,11,12,1,3,5,7,9,10]=>[12,2,1,4,3,6,5,8,7,9,11,10]
[[1,3,5,7,8,11],[2,4,6,9,10,12]]=>[2,4,6,9,10,12,1,3,5,7,8,11]=>[12,2,1,4,3,6,5,7,9,10,8,11]
[[1,3,5,7,8,10],[2,4,6,9,11,12]]=>[2,4,6,9,11,12,1,3,5,7,8,10]=>[12,2,1,4,3,6,5,7,9,8,11,10]
[[1,3,5,7,8,9],[2,4,6,10,11,12]]=>[2,4,6,10,11,12,1,3,5,7,8,9]=>[12,2,1,4,3,6,5,7,8,10,11,9]
[[1,3,5,6,9,11],[2,4,7,8,10,12]]=>[2,4,7,8,10,12,1,3,5,6,9,11]=>[12,2,1,4,3,5,7,8,6,10,9,11]
[[1,3,5,6,9,10],[2,4,7,8,11,12]]=>[2,4,7,8,11,12,1,3,5,6,9,10]=>[12,2,1,4,3,5,7,8,6,9,11,10]
[[1,3,5,6,8,11],[2,4,7,9,10,12]]=>[2,4,7,9,10,12,1,3,5,6,8,11]=>[12,2,1,4,3,5,7,6,9,10,8,11]
[[1,3,5,6,8,10],[2,4,7,9,11,12]]=>[2,4,7,9,11,12,1,3,5,6,8,10]=>[12,2,1,4,3,5,7,6,9,8,11,10]
[[1,3,5,6,8,9],[2,4,7,10,11,12]]=>[2,4,7,10,11,12,1,3,5,6,8,9]=>[12,2,1,4,3,5,7,6,8,10,11,9]
[[1,3,5,6,7,11],[2,4,8,9,10,12]]=>[2,4,8,9,10,12,1,3,5,6,7,11]=>[12,2,1,4,3,5,6,8,9,10,7,11]
[[1,3,5,6,7,10],[2,4,8,9,11,12]]=>[2,4,8,9,11,12,1,3,5,6,7,10]=>[12,2,1,4,3,5,6,8,9,7,11,10]
[[1,3,5,6,7,9],[2,4,8,10,11,12]]=>[2,4,8,10,11,12,1,3,5,6,7,9]=>[12,2,1,4,3,5,6,8,7,10,11,9]
[[1,3,5,6,7,8],[2,4,9,10,11,12]]=>[2,4,9,10,11,12,1,3,5,6,7,8]=>[12,2,1,4,3,5,6,7,9,10,11,8]
[[1,3,4,7,9,11],[2,5,6,8,10,12]]=>[2,5,6,8,10,12,1,3,4,7,9,11]=>[12,2,1,3,5,6,4,8,7,10,9,11]
[[1,3,4,7,9,10],[2,5,6,8,11,12]]=>[2,5,6,8,11,12,1,3,4,7,9,10]=>[12,2,1,3,5,6,4,8,7,9,11,10]
[[1,3,4,7,8,11],[2,5,6,9,10,12]]=>[2,5,6,9,10,12,1,3,4,7,8,11]=>[12,2,1,3,5,6,4,7,9,10,8,11]
[[1,3,4,7,8,10],[2,5,6,9,11,12]]=>[2,5,6,9,11,12,1,3,4,7,8,10]=>[12,2,1,3,5,6,4,7,9,8,11,10]
[[1,3,4,7,8,9],[2,5,6,10,11,12]]=>[2,5,6,10,11,12,1,3,4,7,8,9]=>[12,2,1,3,5,6,4,7,8,10,11,9]
[[1,3,4,6,9,11],[2,5,7,8,10,12]]=>[2,5,7,8,10,12,1,3,4,6,9,11]=>[12,2,1,3,5,4,7,8,6,10,9,11]
[[1,3,4,6,9,10],[2,5,7,8,11,12]]=>[2,5,7,8,11,12,1,3,4,6,9,10]=>[12,2,1,3,5,4,7,8,6,9,11,10]
[[1,3,4,6,8,11],[2,5,7,9,10,12]]=>[2,5,7,9,10,12,1,3,4,6,8,11]=>[12,2,1,3,5,4,7,6,9,10,8,11]
[[1,3,4,6,8,10],[2,5,7,9,11,12]]=>[2,5,7,9,11,12,1,3,4,6,8,10]=>[12,2,1,3,5,4,7,6,9,8,11,10]
[[1,3,4,6,8,9],[2,5,7,10,11,12]]=>[2,5,7,10,11,12,1,3,4,6,8,9]=>[12,2,1,3,5,4,7,6,8,10,11,9]
[[1,3,4,6,7,11],[2,5,8,9,10,12]]=>[2,5,8,9,10,12,1,3,4,6,7,11]=>[12,2,1,3,5,4,6,8,9,10,7,11]
[[1,3,4,6,7,10],[2,5,8,9,11,12]]=>[2,5,8,9,11,12,1,3,4,6,7,10]=>[12,2,1,3,5,4,6,8,9,7,11,10]
[[1,3,4,6,7,9],[2,5,8,10,11,12]]=>[2,5,8,10,11,12,1,3,4,6,7,9]=>[12,2,1,3,5,4,6,8,7,10,11,9]
[[1,3,4,6,7,8],[2,5,9,10,11,12]]=>[2,5,9,10,11,12,1,3,4,6,7,8]=>[12,2,1,3,5,4,6,7,9,10,11,8]
[[1,3,4,5,9,11],[2,6,7,8,10,12]]=>[2,6,7,8,10,12,1,3,4,5,9,11]=>[12,2,1,3,4,6,7,8,5,10,9,11]
[[1,3,4,5,9,10],[2,6,7,8,11,12]]=>[2,6,7,8,11,12,1,3,4,5,9,10]=>[12,2,1,3,4,6,7,8,5,9,11,10]
[[1,3,4,5,8,11],[2,6,7,9,10,12]]=>[2,6,7,9,10,12,1,3,4,5,8,11]=>[12,2,1,3,4,6,7,5,9,10,8,11]
[[1,3,4,5,8,10],[2,6,7,9,11,12]]=>[2,6,7,9,11,12,1,3,4,5,8,10]=>[12,2,1,3,4,6,7,5,9,8,11,10]
[[1,3,4,5,8,9],[2,6,7,10,11,12]]=>[2,6,7,10,11,12,1,3,4,5,8,9]=>[12,2,1,3,4,6,7,5,8,10,11,9]
[[1,3,4,5,7,11],[2,6,8,9,10,12]]=>[2,6,8,9,10,12,1,3,4,5,7,11]=>[12,2,1,3,4,6,5,8,9,10,7,11]
[[1,3,4,5,7,10],[2,6,8,9,11,12]]=>[2,6,8,9,11,12,1,3,4,5,7,10]=>[12,2,1,3,4,6,5,8,9,7,11,10]
[[1,3,4,5,7,9],[2,6,8,10,11,12]]=>[2,6,8,10,11,12,1,3,4,5,7,9]=>[12,2,1,3,4,6,5,8,7,10,11,9]
[[1,3,4,5,7,8],[2,6,9,10,11,12]]=>[2,6,9,10,11,12,1,3,4,5,7,8]=>[12,2,1,3,4,6,5,7,9,10,11,8]
[[1,3,4,5,6,11],[2,7,8,9,10,12]]=>[2,7,8,9,10,12,1,3,4,5,6,11]=>[12,2,1,3,4,5,7,8,9,10,6,11]
[[1,3,4,5,6,10],[2,7,8,9,11,12]]=>[2,7,8,9,11,12,1,3,4,5,6,10]=>[12,2,1,3,4,5,7,8,9,6,11,10]
[[1,3,4,5,6,9],[2,7,8,10,11,12]]=>[2,7,8,10,11,12,1,3,4,5,6,9]=>[12,2,1,3,4,5,7,8,6,10,11,9]
[[1,3,4,5,6,8],[2,7,9,10,11,12]]=>[2,7,9,10,11,12,1,3,4,5,6,8]=>[12,2,1,3,4,5,7,6,9,10,11,8]
[[1,3,4,5,6,7],[2,8,9,10,11,12]]=>[2,8,9,10,11,12,1,3,4,5,6,7]=>[12,2,1,3,4,5,6,8,9,10,11,7]
[[1,2,5,7,9,11],[3,4,6,8,10,12]]=>[3,4,6,8,10,12,1,2,5,7,9,11]=>[12,1,3,4,2,6,5,8,7,10,9,11]
[[1,2,5,7,9,10],[3,4,6,8,11,12]]=>[3,4,6,8,11,12,1,2,5,7,9,10]=>[12,1,3,4,2,6,5,8,7,9,11,10]
[[1,2,5,7,8,11],[3,4,6,9,10,12]]=>[3,4,6,9,10,12,1,2,5,7,8,11]=>[12,1,3,4,2,6,5,7,9,10,8,11]
[[1,2,5,7,8,10],[3,4,6,9,11,12]]=>[3,4,6,9,11,12,1,2,5,7,8,10]=>[12,1,3,4,2,6,5,7,9,8,11,10]
[[1,2,5,7,8,9],[3,4,6,10,11,12]]=>[3,4,6,10,11,12,1,2,5,7,8,9]=>[12,1,3,4,2,6,5,7,8,10,11,9]
[[1,2,5,6,9,11],[3,4,7,8,10,12]]=>[3,4,7,8,10,12,1,2,5,6,9,11]=>[12,1,3,4,2,5,7,8,6,10,9,11]
[[1,2,5,6,9,10],[3,4,7,8,11,12]]=>[3,4,7,8,11,12,1,2,5,6,9,10]=>[12,1,3,4,2,5,7,8,6,9,11,10]
[[1,2,5,6,8,11],[3,4,7,9,10,12]]=>[3,4,7,9,10,12,1,2,5,6,8,11]=>[12,1,3,4,2,5,7,6,9,10,8,11]
[[1,2,5,6,8,10],[3,4,7,9,11,12]]=>[3,4,7,9,11,12,1,2,5,6,8,10]=>[12,1,3,4,2,5,7,6,9,8,11,10]
[[1,2,5,6,8,9],[3,4,7,10,11,12]]=>[3,4,7,10,11,12,1,2,5,6,8,9]=>[12,1,3,4,2,5,7,6,8,10,11,9]
[[1,2,5,6,7,11],[3,4,8,9,10,12]]=>[3,4,8,9,10,12,1,2,5,6,7,11]=>[12,1,3,4,2,5,6,8,9,10,7,11]
[[1,2,5,6,7,10],[3,4,8,9,11,12]]=>[3,4,8,9,11,12,1,2,5,6,7,10]=>[12,1,3,4,2,5,6,8,9,7,11,10]
[[1,2,5,6,7,9],[3,4,8,10,11,12]]=>[3,4,8,10,11,12,1,2,5,6,7,9]=>[12,1,3,4,2,5,6,8,7,10,11,9]
[[1,2,5,6,7,8],[3,4,9,10,11,12]]=>[3,4,9,10,11,12,1,2,5,6,7,8]=>[12,1,3,4,2,5,6,7,9,10,11,8]
[[1,2,4,7,9,11],[3,5,6,8,10,12]]=>[3,5,6,8,10,12,1,2,4,7,9,11]=>[12,1,3,2,5,6,4,8,7,10,9,11]
[[1,2,4,7,9,10],[3,5,6,8,11,12]]=>[3,5,6,8,11,12,1,2,4,7,9,10]=>[12,1,3,2,5,6,4,8,7,9,11,10]
[[1,2,4,7,8,11],[3,5,6,9,10,12]]=>[3,5,6,9,10,12,1,2,4,7,8,11]=>[12,1,3,2,5,6,4,7,9,10,8,11]
[[1,2,4,7,8,10],[3,5,6,9,11,12]]=>[3,5,6,9,11,12,1,2,4,7,8,10]=>[12,1,3,2,5,6,4,7,9,8,11,10]
[[1,2,4,7,8,9],[3,5,6,10,11,12]]=>[3,5,6,10,11,12,1,2,4,7,8,9]=>[12,1,3,2,5,6,4,7,8,10,11,9]
[[1,2,4,6,9,11],[3,5,7,8,10,12]]=>[3,5,7,8,10,12,1,2,4,6,9,11]=>[12,1,3,2,5,4,7,8,6,10,9,11]
[[1,2,4,6,9,10],[3,5,7,8,11,12]]=>[3,5,7,8,11,12,1,2,4,6,9,10]=>[12,1,3,2,5,4,7,8,6,9,11,10]
[[1,2,4,6,8,11],[3,5,7,9,10,12]]=>[3,5,7,9,10,12,1,2,4,6,8,11]=>[12,1,3,2,5,4,7,6,9,10,8,11]
[[1,2,4,6,8,10],[3,5,7,9,11,12]]=>[3,5,7,9,11,12,1,2,4,6,8,10]=>[12,1,3,2,5,4,7,6,9,8,11,10]
[[1,2,4,6,8,9],[3,5,7,10,11,12]]=>[3,5,7,10,11,12,1,2,4,6,8,9]=>[12,1,3,2,5,4,7,6,8,10,11,9]
[[1,2,4,6,7,11],[3,5,8,9,10,12]]=>[3,5,8,9,10,12,1,2,4,6,7,11]=>[12,1,3,2,5,4,6,8,9,10,7,11]
[[1,2,4,6,7,10],[3,5,8,9,11,12]]=>[3,5,8,9,11,12,1,2,4,6,7,10]=>[12,1,3,2,5,4,6,8,9,7,11,10]
[[1,2,4,6,7,9],[3,5,8,10,11,12]]=>[3,5,8,10,11,12,1,2,4,6,7,9]=>[12,1,3,2,5,4,6,8,7,10,11,9]
[[1,2,4,6,7,8],[3,5,9,10,11,12]]=>[3,5,9,10,11,12,1,2,4,6,7,8]=>[12,1,3,2,5,4,6,7,9,10,11,8]
[[1,2,4,5,9,11],[3,6,7,8,10,12]]=>[3,6,7,8,10,12,1,2,4,5,9,11]=>[12,1,3,2,4,6,7,8,5,10,9,11]
[[1,2,4,5,9,10],[3,6,7,8,11,12]]=>[3,6,7,8,11,12,1,2,4,5,9,10]=>[12,1,3,2,4,6,7,8,5,9,11,10]
[[1,2,4,5,8,11],[3,6,7,9,10,12]]=>[3,6,7,9,10,12,1,2,4,5,8,11]=>[12,1,3,2,4,6,7,5,9,10,8,11]
[[1,2,4,5,8,10],[3,6,7,9,11,12]]=>[3,6,7,9,11,12,1,2,4,5,8,10]=>[12,1,3,2,4,6,7,5,9,8,11,10]
[[1,2,4,5,8,9],[3,6,7,10,11,12]]=>[3,6,7,10,11,12,1,2,4,5,8,9]=>[12,1,3,2,4,6,7,5,8,10,11,9]
[[1,2,4,5,7,11],[3,6,8,9,10,12]]=>[3,6,8,9,10,12,1,2,4,5,7,11]=>[12,1,3,2,4,6,5,8,9,10,7,11]
[[1,2,4,5,7,10],[3,6,8,9,11,12]]=>[3,6,8,9,11,12,1,2,4,5,7,10]=>[12,1,3,2,4,6,5,8,9,7,11,10]
[[1,2,4,5,7,9],[3,6,8,10,11,12]]=>[3,6,8,10,11,12,1,2,4,5,7,9]=>[12,1,3,2,4,6,5,8,7,10,11,9]
[[1,2,4,5,7,8],[3,6,9,10,11,12]]=>[3,6,9,10,11,12,1,2,4,5,7,8]=>[12,1,3,2,4,6,5,7,9,10,11,8]
[[1,2,4,5,6,11],[3,7,8,9,10,12]]=>[3,7,8,9,10,12,1,2,4,5,6,11]=>[12,1,3,2,4,5,7,8,9,10,6,11]
[[1,2,4,5,6,10],[3,7,8,9,11,12]]=>[3,7,8,9,11,12,1,2,4,5,6,10]=>[12,1,3,2,4,5,7,8,9,6,11,10]
[[1,2,4,5,6,9],[3,7,8,10,11,12]]=>[3,7,8,10,11,12,1,2,4,5,6,9]=>[12,1,3,2,4,5,7,8,6,10,11,9]
[[1,2,4,5,6,8],[3,7,9,10,11,12]]=>[3,7,9,10,11,12,1,2,4,5,6,8]=>[12,1,3,2,4,5,7,6,9,10,11,8]
[[1,2,4,5,6,7],[3,8,9,10,11,12]]=>[3,8,9,10,11,12,1,2,4,5,6,7]=>[12,1,3,2,4,5,6,8,9,10,11,7]
[[1,2,3,7,9,11],[4,5,6,8,10,12]]=>[4,5,6,8,10,12,1,2,3,7,9,11]=>[12,1,2,4,5,6,3,8,7,10,9,11]
[[1,2,3,7,9,10],[4,5,6,8,11,12]]=>[4,5,6,8,11,12,1,2,3,7,9,10]=>[12,1,2,4,5,6,3,8,7,9,11,10]
[[1,2,3,7,8,11],[4,5,6,9,10,12]]=>[4,5,6,9,10,12,1,2,3,7,8,11]=>[12,1,2,4,5,6,3,7,9,10,8,11]
[[1,2,3,7,8,10],[4,5,6,9,11,12]]=>[4,5,6,9,11,12,1,2,3,7,8,10]=>[12,1,2,4,5,6,3,7,9,8,11,10]
[[1,2,3,7,8,9],[4,5,6,10,11,12]]=>[4,5,6,10,11,12,1,2,3,7,8,9]=>[12,1,2,4,5,6,3,7,8,10,11,9]
[[1,2,3,6,9,11],[4,5,7,8,10,12]]=>[4,5,7,8,10,12,1,2,3,6,9,11]=>[12,1,2,4,5,3,7,8,6,10,9,11]
[[1,2,3,6,9,10],[4,5,7,8,11,12]]=>[4,5,7,8,11,12,1,2,3,6,9,10]=>[12,1,2,4,5,3,7,8,6,9,11,10]
[[1,2,3,6,8,11],[4,5,7,9,10,12]]=>[4,5,7,9,10,12,1,2,3,6,8,11]=>[12,1,2,4,5,3,7,6,9,10,8,11]
[[1,2,3,6,8,10],[4,5,7,9,11,12]]=>[4,5,7,9,11,12,1,2,3,6,8,10]=>[12,1,2,4,5,3,7,6,9,8,11,10]
[[1,2,3,6,8,9],[4,5,7,10,11,12]]=>[4,5,7,10,11,12,1,2,3,6,8,9]=>[12,1,2,4,5,3,7,6,8,10,11,9]
[[1,2,3,6,7,11],[4,5,8,9,10,12]]=>[4,5,8,9,10,12,1,2,3,6,7,11]=>[12,1,2,4,5,3,6,8,9,10,7,11]
[[1,2,3,6,7,10],[4,5,8,9,11,12]]=>[4,5,8,9,11,12,1,2,3,6,7,10]=>[12,1,2,4,5,3,6,8,9,7,11,10]
[[1,2,3,6,7,9],[4,5,8,10,11,12]]=>[4,5,8,10,11,12,1,2,3,6,7,9]=>[12,1,2,4,5,3,6,8,7,10,11,9]
[[1,2,3,6,7,8],[4,5,9,10,11,12]]=>[4,5,9,10,11,12,1,2,3,6,7,8]=>[12,1,2,4,5,3,6,7,9,10,11,8]
[[1,2,3,5,9,11],[4,6,7,8,10,12]]=>[4,6,7,8,10,12,1,2,3,5,9,11]=>[12,1,2,4,3,6,7,8,5,10,9,11]
[[1,2,3,5,9,10],[4,6,7,8,11,12]]=>[4,6,7,8,11,12,1,2,3,5,9,10]=>[12,1,2,4,3,6,7,8,5,9,11,10]
[[1,2,3,5,8,11],[4,6,7,9,10,12]]=>[4,6,7,9,10,12,1,2,3,5,8,11]=>[12,1,2,4,3,6,7,5,9,10,8,11]
[[1,2,3,5,8,10],[4,6,7,9,11,12]]=>[4,6,7,9,11,12,1,2,3,5,8,10]=>[12,1,2,4,3,6,7,5,9,8,11,10]
[[1,2,3,5,8,9],[4,6,7,10,11,12]]=>[4,6,7,10,11,12,1,2,3,5,8,9]=>[12,1,2,4,3,6,7,5,8,10,11,9]
[[1,2,3,5,7,11],[4,6,8,9,10,12]]=>[4,6,8,9,10,12,1,2,3,5,7,11]=>[12,1,2,4,3,6,5,8,9,10,7,11]
[[1,2,3,5,7,10],[4,6,8,9,11,12]]=>[4,6,8,9,11,12,1,2,3,5,7,10]=>[12,1,2,4,3,6,5,8,9,7,11,10]
[[1,2,3,5,7,9],[4,6,8,10,11,12]]=>[4,6,8,10,11,12,1,2,3,5,7,9]=>[12,1,2,4,3,6,5,8,7,10,11,9]
[[1,2,3,5,7,8],[4,6,9,10,11,12]]=>[4,6,9,10,11,12,1,2,3,5,7,8]=>[12,1,2,4,3,6,5,7,9,10,11,8]
[[1,2,3,5,6,11],[4,7,8,9,10,12]]=>[4,7,8,9,10,12,1,2,3,5,6,11]=>[12,1,2,4,3,5,7,8,9,10,6,11]
[[1,2,3,5,6,10],[4,7,8,9,11,12]]=>[4,7,8,9,11,12,1,2,3,5,6,10]=>[12,1,2,4,3,5,7,8,9,6,11,10]
[[1,2,3,5,6,9],[4,7,8,10,11,12]]=>[4,7,8,10,11,12,1,2,3,5,6,9]=>[12,1,2,4,3,5,7,8,6,10,11,9]
[[1,2,3,5,6,8],[4,7,9,10,11,12]]=>[4,7,9,10,11,12,1,2,3,5,6,8]=>[12,1,2,4,3,5,7,6,9,10,11,8]
[[1,2,3,5,6,7],[4,8,9,10,11,12]]=>[4,8,9,10,11,12,1,2,3,5,6,7]=>[12,1,2,4,3,5,6,8,9,10,11,7]
[[1,2,3,4,9,11],[5,6,7,8,10,12]]=>[5,6,7,8,10,12,1,2,3,4,9,11]=>[12,1,2,3,5,6,7,8,4,10,9,11]
[[1,2,3,4,9,10],[5,6,7,8,11,12]]=>[5,6,7,8,11,12,1,2,3,4,9,10]=>[12,1,2,3,5,6,7,8,4,9,11,10]
[[1,2,3,4,8,11],[5,6,7,9,10,12]]=>[5,6,7,9,10,12,1,2,3,4,8,11]=>[12,1,2,3,5,6,7,4,9,10,8,11]
[[1,2,3,4,8,10],[5,6,7,9,11,12]]=>[5,6,7,9,11,12,1,2,3,4,8,10]=>[12,1,2,3,5,6,7,4,9,8,11,10]
[[1,2,3,4,8,9],[5,6,7,10,11,12]]=>[5,6,7,10,11,12,1,2,3,4,8,9]=>[12,1,2,3,5,6,7,4,8,10,11,9]
[[1,2,3,4,7,11],[5,6,8,9,10,12]]=>[5,6,8,9,10,12,1,2,3,4,7,11]=>[12,1,2,3,5,6,4,8,9,10,7,11]
[[1,2,3,4,7,10],[5,6,8,9,11,12]]=>[5,6,8,9,11,12,1,2,3,4,7,10]=>[12,1,2,3,5,6,4,8,9,7,11,10]
[[1,2,3,4,7,9],[5,6,8,10,11,12]]=>[5,6,8,10,11,12,1,2,3,4,7,9]=>[12,1,2,3,5,6,4,8,7,10,11,9]
[[1,2,3,4,7,8],[5,6,9,10,11,12]]=>[5,6,9,10,11,12,1,2,3,4,7,8]=>[12,1,2,3,5,6,4,7,9,10,11,8]
[[1,2,3,4,6,11],[5,7,8,9,10,12]]=>[5,7,8,9,10,12,1,2,3,4,6,11]=>[12,1,2,3,5,4,7,8,9,10,6,11]
[[1,2,3,4,6,10],[5,7,8,9,11,12]]=>[5,7,8,9,11,12,1,2,3,4,6,10]=>[12,1,2,3,5,4,7,8,9,6,11,10]
[[1,2,3,4,6,9],[5,7,8,10,11,12]]=>[5,7,8,10,11,12,1,2,3,4,6,9]=>[12,1,2,3,5,4,7,8,6,10,11,9]
[[1,2,3,4,6,8],[5,7,9,10,11,12]]=>[5,7,9,10,11,12,1,2,3,4,6,8]=>[12,1,2,3,5,4,7,6,9,10,11,8]
[[1,2,3,4,6,7],[5,8,9,10,11,12]]=>[5,8,9,10,11,12,1,2,3,4,6,7]=>[12,1,2,3,5,4,6,8,9,10,11,7]
[[1,2,3,4,5,11],[6,7,8,9,10,12]]=>[6,7,8,9,10,12,1,2,3,4,5,11]=>[12,1,2,3,4,6,7,8,9,10,5,11]
[[1,2,3,4,5,10],[6,7,8,9,11,12]]=>[6,7,8,9,11,12,1,2,3,4,5,10]=>[12,1,2,3,4,6,7,8,9,5,11,10]
[[1,2,3,4,5,9],[6,7,8,10,11,12]]=>[6,7,8,10,11,12,1,2,3,4,5,9]=>[12,1,2,3,4,6,7,8,5,10,11,9]
[[1,2,3,4,5,8],[6,7,9,10,11,12]]=>[6,7,9,10,11,12,1,2,3,4,5,8]=>[12,1,2,3,4,6,7,5,9,10,11,8]
[[1,2,3,4,5,7],[6,8,9,10,11,12]]=>[6,8,9,10,11,12,1,2,3,4,5,7]=>[12,1,2,3,4,6,5,8,9,10,11,7]
[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[12,1,2,3,4,5,7,8,9,10,11,6]
[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]]=>[2,4,6,8,10,12,14,1,3,5,7,9,11,13]=>[14,2,1,4,3,6,5,8,7,10,9,12,11,13]
[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]]=>[2,4,6,8,10,13,14,1,3,5,7,9,11,12]=>[14,2,1,4,3,6,5,8,7,10,9,11,13,12]
[[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]]=>[2,4,6,8,11,13,14,1,3,5,7,9,10,12]=>[14,2,1,4,3,6,5,8,7,9,11,10,13,12]
[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]]=>[2,4,6,8,12,13,14,1,3,5,7,9,10,11]=>[14,2,1,4,3,6,5,8,7,9,10,12,13,11]
[[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]]=>[2,4,6,9,11,13,14,1,3,5,7,8,10,12]=>[14,2,1,4,3,6,5,7,9,8,11,10,13,12]
[[1,3,5,7,8,9,12],[2,4,6,10,11,13,14]]=>[2,4,6,10,11,13,14,1,3,5,7,8,9,12]=>[14,2,1,4,3,6,5,7,8,10,11,9,13,12]
[[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]]=>[2,4,6,10,12,13,14,1,3,5,7,8,9,11]=>[14,2,1,4,3,6,5,7,8,10,9,12,13,11]
[[1,3,5,7,8,9,10],[2,4,6,11,12,13,14]]=>[2,4,6,11,12,13,14,1,3,5,7,8,9,10]=>[14,2,1,4,3,6,5,7,8,9,11,12,13,10]
[[1,3,5,6,8,10,12],[2,4,7,9,11,13,14]]=>[2,4,7,9,11,13,14,1,3,5,6,8,10,12]=>[14,2,1,4,3,5,7,6,9,8,11,10,13,12]
[[1,3,5,6,7,10,12],[2,4,8,9,11,13,14]]=>[2,4,8,9,11,13,14,1,3,5,6,7,10,12]=>[14,2,1,4,3,5,6,8,9,7,11,10,13,12]
[[1,3,5,6,7,9,12],[2,4,8,10,11,13,14]]=>[2,4,8,10,11,13,14,1,3,5,6,7,9,12]=>[14,2,1,4,3,5,6,8,7,10,11,9,13,12]
[[1,3,5,6,7,9,11],[2,4,8,10,12,13,14]]=>[2,4,8,10,12,13,14,1,3,5,6,7,9,11]=>[14,2,1,4,3,5,6,8,7,10,9,12,13,11]
[[1,3,5,6,7,9,10],[2,4,8,11,12,13,14]]=>[2,4,8,11,12,13,14,1,3,5,6,7,9,10]=>[14,2,1,4,3,5,6,8,7,9,11,12,13,10]
[[1,3,5,6,7,8,12],[2,4,9,10,11,13,14]]=>[2,4,9,10,11,13,14,1,3,5,6,7,8,12]=>[14,2,1,4,3,5,6,7,9,10,11,8,13,12]
[[1,3,5,6,7,8,10],[2,4,9,11,12,13,14]]=>[2,4,9,11,12,13,14,1,3,5,6,7,8,10]=>[14,2,1,4,3,5,6,7,9,8,11,12,13,10]
[[1,3,4,6,8,10,12],[2,5,7,9,11,13,14]]=>[2,5,7,9,11,13,14,1,3,4,6,8,10,12]=>[14,2,1,3,5,4,7,6,9,8,11,10,13,12]
[[1,3,4,6,7,8,9],[2,5,10,11,12,13,14]]=>[2,5,10,11,12,13,14,1,3,4,6,7,8,9]=>[14,2,1,3,5,4,6,7,8,10,11,12,13,9]
[[1,3,4,5,8,10,12],[2,6,7,9,11,13,14]]=>[2,6,7,9,11,13,14,1,3,4,5,8,10,12]=>[14,2,1,3,4,6,7,5,9,8,11,10,13,12]
[[1,3,4,5,7,10,12],[2,6,8,9,11,13,14]]=>[2,6,8,9,11,13,14,1,3,4,5,7,10,12]=>[14,2,1,3,4,6,5,8,9,7,11,10,13,12]
[[1,3,4,5,7,9,12],[2,6,8,10,11,13,14]]=>[2,6,8,10,11,13,14,1,3,4,5,7,9,12]=>[14,2,1,3,4,6,5,8,7,10,11,9,13,12]
[[1,3,4,5,7,8,12],[2,6,9,10,11,13,14]]=>[2,6,9,10,11,13,14,1,3,4,5,7,8,12]=>[14,2,1,3,4,6,5,7,9,10,11,8,13,12]
[[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]]=>[2,6,9,11,12,13,14,1,3,4,5,7,8,10]=>[14,2,1,3,4,6,5,7,9,8,11,12,13,10]
[[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]]=>[2,6,10,11,12,13,14,1,3,4,5,7,8,9]=>[14,2,1,3,4,6,5,7,8,10,11,12,13,9]
[[1,3,4,5,6,10,12],[2,7,8,9,11,13,14]]=>[2,7,8,9,11,13,14,1,3,4,5,6,10,12]=>[14,2,1,3,4,5,7,8,9,6,11,10,13,12]
[[1,3,4,5,6,9,10],[2,7,8,11,12,13,14]]=>[2,7,8,11,12,13,14,1,3,4,5,6,9,10]=>[14,2,1,3,4,5,7,8,6,9,11,12,13,10]
[[1,3,4,5,6,8,12],[2,7,9,10,11,13,14]]=>[2,7,9,10,11,13,14,1,3,4,5,6,8,12]=>[14,2,1,3,4,5,7,6,9,10,11,8,13,12]
[[1,3,4,5,6,8,11],[2,7,9,10,12,13,14]]=>[2,7,9,10,12,13,14,1,3,4,5,6,8,11]=>[14,2,1,3,4,5,7,6,9,10,8,12,13,11]
[[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]]=>[2,7,9,11,12,13,14,1,3,4,5,6,8,10]=>[14,2,1,3,4,5,7,6,9,8,11,12,13,10]
[[1,3,4,5,6,8,9],[2,7,10,11,12,13,14]]=>[2,7,10,11,12,13,14,1,3,4,5,6,8,9]=>[14,2,1,3,4,5,7,6,8,10,11,12,13,9]
[[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]]=>[2,8,9,10,11,13,14,1,3,4,5,6,7,12]=>[14,2,1,3,4,5,6,8,9,10,11,7,13,12]
[[1,3,4,5,6,7,11],[2,8,9,10,12,13,14]]=>[2,8,9,10,12,13,14,1,3,4,5,6,7,11]=>[14,2,1,3,4,5,6,8,9,10,7,12,13,11]
[[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]]=>[2,8,9,11,12,13,14,1,3,4,5,6,7,10]=>[14,2,1,3,4,5,6,8,9,7,11,12,13,10]
[[1,3,4,5,6,7,9],[2,8,10,11,12,13,14]]=>[2,8,10,11,12,13,14,1,3,4,5,6,7,9]=>[14,2,1,3,4,5,6,8,7,10,11,12,13,9]
[[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]]=>[2,9,10,11,12,13,14,1,3,4,5,6,7,8]=>[14,2,1,3,4,5,6,7,9,10,11,12,13,8]
[[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]]=>[3,4,10,11,12,13,14,1,2,5,6,7,8,9]=>[14,1,3,4,2,5,6,7,8,10,11,12,13,9]
[[1,2,4,6,8,10,12],[3,5,7,9,11,13,14]]=>[3,5,7,9,11,13,14,1,2,4,6,8,10,12]=>[14,1,3,2,5,4,7,6,9,8,11,10,13,12]
[[1,2,4,6,8,10,11],[3,5,7,9,12,13,14]]=>[3,5,7,9,12,13,14,1,2,4,6,8,10,11]=>[14,1,3,2,5,4,7,6,9,8,10,12,13,11]
[[1,2,4,6,8,9,12],[3,5,7,10,11,13,14]]=>[3,5,7,10,11,13,14,1,2,4,6,8,9,12]=>[14,1,3,2,5,4,7,6,8,10,11,9,13,12]
[[1,2,4,6,8,9,11],[3,5,7,10,12,13,14]]=>[3,5,7,10,12,13,14,1,2,4,6,8,9,11]=>[14,1,3,2,5,4,7,6,8,10,9,12,13,11]
[[1,2,4,6,8,9,10],[3,5,7,11,12,13,14]]=>[3,5,7,11,12,13,14,1,2,4,6,8,9,10]=>[14,1,3,2,5,4,7,6,8,9,11,12,13,10]
[[1,2,4,6,7,10,12],[3,5,8,9,11,13,14]]=>[3,5,8,9,11,13,14,1,2,4,6,7,10,12]=>[14,1,3,2,5,4,6,8,9,7,11,10,13,12]
[[1,2,4,6,7,10,11],[3,5,8,9,12,13,14]]=>[3,5,8,9,12,13,14,1,2,4,6,7,10,11]=>[14,1,3,2,5,4,6,8,9,7,10,12,13,11]
[[1,2,4,6,7,9,12],[3,5,8,10,11,13,14]]=>[3,5,8,10,11,13,14,1,2,4,6,7,9,12]=>[14,1,3,2,5,4,6,8,7,10,11,9,13,12]
[[1,2,4,6,7,9,11],[3,5,8,10,12,13,14]]=>[3,5,8,10,12,13,14,1,2,4,6,7,9,11]=>[14,1,3,2,5,4,6,8,7,10,9,12,13,11]
[[1,2,4,6,7,9,10],[3,5,8,11,12,13,14]]=>[3,5,8,11,12,13,14,1,2,4,6,7,9,10]=>[14,1,3,2,5,4,6,8,7,9,11,12,13,10]
[[1,2,4,6,7,8,12],[3,5,9,10,11,13,14]]=>[3,5,9,10,11,13,14,1,2,4,6,7,8,12]=>[14,1,3,2,5,4,6,7,9,10,11,8,13,12]
[[1,2,4,6,7,8,11],[3,5,9,10,12,13,14]]=>[3,5,9,10,12,13,14,1,2,4,6,7,8,11]=>[14,1,3,2,5,4,6,7,9,10,8,12,13,11]
[[1,2,4,6,7,8,10],[3,5,9,11,12,13,14]]=>[3,5,9,11,12,13,14,1,2,4,6,7,8,10]=>[14,1,3,2,5,4,6,7,9,8,11,12,13,10]
[[1,2,4,6,7,8,9],[3,5,10,11,12,13,14]]=>[3,5,10,11,12,13,14,1,2,4,6,7,8,9]=>[14,1,3,2,5,4,6,7,8,10,11,12,13,9]
[[1,2,4,5,8,10,12],[3,6,7,9,11,13,14]]=>[3,6,7,9,11,13,14,1,2,4,5,8,10,12]=>[14,1,3,2,4,6,7,5,9,8,11,10,13,12]
[[1,2,4,5,8,10,11],[3,6,7,9,12,13,14]]=>[3,6,7,9,12,13,14,1,2,4,5,8,10,11]=>[14,1,3,2,4,6,7,5,9,8,10,12,13,11]
[[1,2,4,5,8,9,12],[3,6,7,10,11,13,14]]=>[3,6,7,10,11,13,14,1,2,4,5,8,9,12]=>[14,1,3,2,4,6,7,5,8,10,11,9,13,12]
[[1,2,4,5,8,9,11],[3,6,7,10,12,13,14]]=>[3,6,7,10,12,13,14,1,2,4,5,8,9,11]=>[14,1,3,2,4,6,7,5,8,10,9,12,13,11]
[[1,2,4,5,8,9,10],[3,6,7,11,12,13,14]]=>[3,6,7,11,12,13,14,1,2,4,5,8,9,10]=>[14,1,3,2,4,6,7,5,8,9,11,12,13,10]
[[1,2,4,5,7,10,12],[3,6,8,9,11,13,14]]=>[3,6,8,9,11,13,14,1,2,4,5,7,10,12]=>[14,1,3,2,4,6,5,8,9,7,11,10,13,12]
[[1,2,4,5,7,10,11],[3,6,8,9,12,13,14]]=>[3,6,8,9,12,13,14,1,2,4,5,7,10,11]=>[14,1,3,2,4,6,5,8,9,7,10,12,13,11]
[[1,2,4,5,7,9,12],[3,6,8,10,11,13,14]]=>[3,6,8,10,11,13,14,1,2,4,5,7,9,12]=>[14,1,3,2,4,6,5,8,7,10,11,9,13,12]
[[1,2,4,5,7,9,11],[3,6,8,10,12,13,14]]=>[3,6,8,10,12,13,14,1,2,4,5,7,9,11]=>[14,1,3,2,4,6,5,8,7,10,9,12,13,11]
[[1,2,4,5,7,9,10],[3,6,8,11,12,13,14]]=>[3,6,8,11,12,13,14,1,2,4,5,7,9,10]=>[14,1,3,2,4,6,5,8,7,9,11,12,13,10]
[[1,2,4,5,7,8,12],[3,6,9,10,11,13,14]]=>[3,6,9,10,11,13,14,1,2,4,5,7,8,12]=>[14,1,3,2,4,6,5,7,9,10,11,8,13,12]
[[1,2,4,5,7,8,11],[3,6,9,10,12,13,14]]=>[3,6,9,10,12,13,14,1,2,4,5,7,8,11]=>[14,1,3,2,4,6,5,7,9,10,8,12,13,11]
[[1,2,4,5,7,8,10],[3,6,9,11,12,13,14]]=>[3,6,9,11,12,13,14,1,2,4,5,7,8,10]=>[14,1,3,2,4,6,5,7,9,8,11,12,13,10]
[[1,2,4,5,7,8,9],[3,6,10,11,12,13,14]]=>[3,6,10,11,12,13,14,1,2,4,5,7,8,9]=>[14,1,3,2,4,6,5,7,8,10,11,12,13,9]
[[1,2,4,5,6,10,12],[3,7,8,9,11,13,14]]=>[3,7,8,9,11,13,14,1,2,4,5,6,10,12]=>[14,1,3,2,4,5,7,8,9,6,11,10,13,12]
[[1,2,4,5,6,10,11],[3,7,8,9,12,13,14]]=>[3,7,8,9,12,13,14,1,2,4,5,6,10,11]=>[14,1,3,2,4,5,7,8,9,6,10,12,13,11]
[[1,2,4,5,6,9,12],[3,7,8,10,11,13,14]]=>[3,7,8,10,11,13,14,1,2,4,5,6,9,12]=>[14,1,3,2,4,5,7,8,6,10,11,9,13,12]
[[1,2,4,5,6,9,11],[3,7,8,10,12,13,14]]=>[3,7,8,10,12,13,14,1,2,4,5,6,9,11]=>[14,1,3,2,4,5,7,8,6,10,9,12,13,11]
[[1,2,4,5,6,9,10],[3,7,8,11,12,13,14]]=>[3,7,8,11,12,13,14,1,2,4,5,6,9,10]=>[14,1,3,2,4,5,7,8,6,9,11,12,13,10]
[[1,2,4,5,6,8,12],[3,7,9,10,11,13,14]]=>[3,7,9,10,11,13,14,1,2,4,5,6,8,12]=>[14,1,3,2,4,5,7,6,9,10,11,8,13,12]
[[1,2,4,5,6,8,11],[3,7,9,10,12,13,14]]=>[3,7,9,10,12,13,14,1,2,4,5,6,8,11]=>[14,1,3,2,4,5,7,6,9,10,8,12,13,11]
[[1,2,4,5,6,8,10],[3,7,9,11,12,13,14]]=>[3,7,9,11,12,13,14,1,2,4,5,6,8,10]=>[14,1,3,2,4,5,7,6,9,8,11,12,13,10]
[[1,2,4,5,6,8,9],[3,7,10,11,12,13,14]]=>[3,7,10,11,12,13,14,1,2,4,5,6,8,9]=>[14,1,3,2,4,5,7,6,8,10,11,12,13,9]
[[1,2,4,5,6,7,13],[3,8,9,10,11,12,14]]=>[3,8,9,10,11,12,14,1,2,4,5,6,7,13]=>[14,1,3,2,4,5,6,8,9,10,11,12,7,13]
[[1,2,4,5,6,7,12],[3,8,9,10,11,13,14]]=>[3,8,9,10,11,13,14,1,2,4,5,6,7,12]=>[14,1,3,2,4,5,6,8,9,10,11,7,13,12]
[[1,2,4,5,6,7,11],[3,8,9,10,12,13,14]]=>[3,8,9,10,12,13,14,1,2,4,5,6,7,11]=>[14,1,3,2,4,5,6,8,9,10,7,12,13,11]
[[1,2,4,5,6,7,10],[3,8,9,11,12,13,14]]=>[3,8,9,11,12,13,14,1,2,4,5,6,7,10]=>[14,1,3,2,4,5,6,8,9,7,11,12,13,10]
[[1,2,4,5,6,7,9],[3,8,10,11,12,13,14]]=>[3,8,10,11,12,13,14,1,2,4,5,6,7,9]=>[14,1,3,2,4,5,6,8,7,10,11,12,13,9]
[[1,2,4,5,6,7,8],[3,9,10,11,12,13,14]]=>[3,9,10,11,12,13,14,1,2,4,5,6,7,8]=>[14,1,3,2,4,5,6,7,9,10,11,12,13,8]
[[1,2,3,6,8,10,12],[4,5,7,9,11,13,14]]=>[4,5,7,9,11,13,14,1,2,3,6,8,10,12]=>[14,1,2,4,5,3,7,6,9,8,11,10,13,12]
[[1,2,3,6,8,10,11],[4,5,7,9,12,13,14]]=>[4,5,7,9,12,13,14,1,2,3,6,8,10,11]=>[14,1,2,4,5,3,7,6,9,8,10,12,13,11]
[[1,2,3,6,8,9,12],[4,5,7,10,11,13,14]]=>[4,5,7,10,11,13,14,1,2,3,6,8,9,12]=>[14,1,2,4,5,3,7,6,8,10,11,9,13,12]
[[1,2,3,6,8,9,11],[4,5,7,10,12,13,14]]=>[4,5,7,10,12,13,14,1,2,3,6,8,9,11]=>[14,1,2,4,5,3,7,6,8,10,9,12,13,11]
[[1,2,3,6,8,9,10],[4,5,7,11,12,13,14]]=>[4,5,7,11,12,13,14,1,2,3,6,8,9,10]=>[14,1,2,4,5,3,7,6,8,9,11,12,13,10]
[[1,2,3,6,7,10,12],[4,5,8,9,11,13,14]]=>[4,5,8,9,11,13,14,1,2,3,6,7,10,12]=>[14,1,2,4,5,3,6,8,9,7,11,10,13,12]
[[1,2,3,6,7,10,11],[4,5,8,9,12,13,14]]=>[4,5,8,9,12,13,14,1,2,3,6,7,10,11]=>[14,1,2,4,5,3,6,8,9,7,10,12,13,11]
[[1,2,3,6,7,9,12],[4,5,8,10,11,13,14]]=>[4,5,8,10,11,13,14,1,2,3,6,7,9,12]=>[14,1,2,4,5,3,6,8,7,10,11,9,13,12]
[[1,2,3,6,7,9,11],[4,5,8,10,12,13,14]]=>[4,5,8,10,12,13,14,1,2,3,6,7,9,11]=>[14,1,2,4,5,3,6,8,7,10,9,12,13,11]
[[1,2,3,6,7,9,10],[4,5,8,11,12,13,14]]=>[4,5,8,11,12,13,14,1,2,3,6,7,9,10]=>[14,1,2,4,5,3,6,8,7,9,11,12,13,10]
[[1,2,3,6,7,8,12],[4,5,9,10,11,13,14]]=>[4,5,9,10,11,13,14,1,2,3,6,7,8,12]=>[14,1,2,4,5,3,6,7,9,10,11,8,13,12]
[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]]=>[4,5,9,10,12,13,14,1,2,3,6,7,8,11]=>[14,1,2,4,5,3,6,7,9,10,8,12,13,11]
[[1,2,3,6,7,8,10],[4,5,9,11,12,13,14]]=>[4,5,9,11,12,13,14,1,2,3,6,7,8,10]=>[14,1,2,4,5,3,6,7,9,8,11,12,13,10]
[[1,2,3,6,7,8,9],[4,5,10,11,12,13,14]]=>[4,5,10,11,12,13,14,1,2,3,6,7,8,9]=>[14,1,2,4,5,3,6,7,8,10,11,12,13,9]
[[1,2,3,5,8,10,12],[4,6,7,9,11,13,14]]=>[4,6,7,9,11,13,14,1,2,3,5,8,10,12]=>[14,1,2,4,3,6,7,5,9,8,11,10,13,12]
[[1,2,3,5,8,10,11],[4,6,7,9,12,13,14]]=>[4,6,7,9,12,13,14,1,2,3,5,8,10,11]=>[14,1,2,4,3,6,7,5,9,8,10,12,13,11]
[[1,2,3,5,8,9,12],[4,6,7,10,11,13,14]]=>[4,6,7,10,11,13,14,1,2,3,5,8,9,12]=>[14,1,2,4,3,6,7,5,8,10,11,9,13,12]
[[1,2,3,5,8,9,11],[4,6,7,10,12,13,14]]=>[4,6,7,10,12,13,14,1,2,3,5,8,9,11]=>[14,1,2,4,3,6,7,5,8,10,9,12,13,11]
[[1,2,3,5,8,9,10],[4,6,7,11,12,13,14]]=>[4,6,7,11,12,13,14,1,2,3,5,8,9,10]=>[14,1,2,4,3,6,7,5,8,9,11,12,13,10]
[[1,2,3,5,7,10,12],[4,6,8,9,11,13,14]]=>[4,6,8,9,11,13,14,1,2,3,5,7,10,12]=>[14,1,2,4,3,6,5,8,9,7,11,10,13,12]
[[1,2,3,5,7,10,11],[4,6,8,9,12,13,14]]=>[4,6,8,9,12,13,14,1,2,3,5,7,10,11]=>[14,1,2,4,3,6,5,8,9,7,10,12,13,11]
[[1,2,3,5,7,9,12],[4,6,8,10,11,13,14]]=>[4,6,8,10,11,13,14,1,2,3,5,7,9,12]=>[14,1,2,4,3,6,5,8,7,10,11,9,13,12]
[[1,2,3,5,7,9,11],[4,6,8,10,12,13,14]]=>[4,6,8,10,12,13,14,1,2,3,5,7,9,11]=>[14,1,2,4,3,6,5,8,7,10,9,12,13,11]
[[1,2,3,5,7,9,10],[4,6,8,11,12,13,14]]=>[4,6,8,11,12,13,14,1,2,3,5,7,9,10]=>[14,1,2,4,3,6,5,8,7,9,11,12,13,10]
[[1,2,3,5,7,8,12],[4,6,9,10,11,13,14]]=>[4,6,9,10,11,13,14,1,2,3,5,7,8,12]=>[14,1,2,4,3,6,5,7,9,10,11,8,13,12]
[[1,2,3,5,7,8,11],[4,6,9,10,12,13,14]]=>[4,6,9,10,12,13,14,1,2,3,5,7,8,11]=>[14,1,2,4,3,6,5,7,9,10,8,12,13,11]
[[1,2,3,5,7,8,10],[4,6,9,11,12,13,14]]=>[4,6,9,11,12,13,14,1,2,3,5,7,8,10]=>[14,1,2,4,3,6,5,7,9,8,11,12,13,10]
[[1,2,3,5,7,8,9],[4,6,10,11,12,13,14]]=>[4,6,10,11,12,13,14,1,2,3,5,7,8,9]=>[14,1,2,4,3,6,5,7,8,10,11,12,13,9]
[[1,2,3,5,6,10,12],[4,7,8,9,11,13,14]]=>[4,7,8,9,11,13,14,1,2,3,5,6,10,12]=>[14,1,2,4,3,5,7,8,9,6,11,10,13,12]
[[1,2,3,5,6,10,11],[4,7,8,9,12,13,14]]=>[4,7,8,9,12,13,14,1,2,3,5,6,10,11]=>[14,1,2,4,3,5,7,8,9,6,10,12,13,11]
[[1,2,3,5,6,9,12],[4,7,8,10,11,13,14]]=>[4,7,8,10,11,13,14,1,2,3,5,6,9,12]=>[14,1,2,4,3,5,7,8,6,10,11,9,13,12]
[[1,2,3,5,6,9,11],[4,7,8,10,12,13,14]]=>[4,7,8,10,12,13,14,1,2,3,5,6,9,11]=>[14,1,2,4,3,5,7,8,6,10,9,12,13,11]
[[1,2,3,5,6,9,10],[4,7,8,11,12,13,14]]=>[4,7,8,11,12,13,14,1,2,3,5,6,9,10]=>[14,1,2,4,3,5,7,8,6,9,11,12,13,10]
[[1,2,3,5,6,8,13],[4,7,9,10,11,12,14]]=>[4,7,9,10,11,12,14,1,2,3,5,6,8,13]=>[14,1,2,4,3,5,7,6,9,10,11,12,8,13]
[[1,2,3,5,6,8,12],[4,7,9,10,11,13,14]]=>[4,7,9,10,11,13,14,1,2,3,5,6,8,12]=>[14,1,2,4,3,5,7,6,9,10,11,8,13,12]
[[1,2,3,5,6,8,11],[4,7,9,10,12,13,14]]=>[4,7,9,10,12,13,14,1,2,3,5,6,8,11]=>[14,1,2,4,3,5,7,6,9,10,8,12,13,11]
[[1,2,3,5,6,8,10],[4,7,9,11,12,13,14]]=>[4,7,9,11,12,13,14,1,2,3,5,6,8,10]=>[14,1,2,4,3,5,7,6,9,8,11,12,13,10]
[[1,2,3,5,6,8,9],[4,7,10,11,12,13,14]]=>[4,7,10,11,12,13,14,1,2,3,5,6,8,9]=>[14,1,2,4,3,5,7,6,8,10,11,12,13,9]
[[1,2,3,5,6,7,13],[4,8,9,10,11,12,14]]=>[4,8,9,10,11,12,14,1,2,3,5,6,7,13]=>[14,1,2,4,3,5,6,8,9,10,11,12,7,13]
[[1,2,3,5,6,7,12],[4,8,9,10,11,13,14]]=>[4,8,9,10,11,13,14,1,2,3,5,6,7,12]=>[14,1,2,4,3,5,6,8,9,10,11,7,13,12]
[[1,2,3,5,6,7,11],[4,8,9,10,12,13,14]]=>[4,8,9,10,12,13,14,1,2,3,5,6,7,11]=>[14,1,2,4,3,5,6,8,9,10,7,12,13,11]
[[1,2,3,5,6,7,10],[4,8,9,11,12,13,14]]=>[4,8,9,11,12,13,14,1,2,3,5,6,7,10]=>[14,1,2,4,3,5,6,8,9,7,11,12,13,10]
[[1,2,3,5,6,7,9],[4,8,10,11,12,13,14]]=>[4,8,10,11,12,13,14,1,2,3,5,6,7,9]=>[14,1,2,4,3,5,6,8,7,10,11,12,13,9]
[[1,2,3,5,6,7,8],[4,9,10,11,12,13,14]]=>[4,9,10,11,12,13,14,1,2,3,5,6,7,8]=>[14,1,2,4,3,5,6,7,9,10,11,12,13,8]
[[1,2,3,4,8,10,12],[5,6,7,9,11,13,14]]=>[5,6,7,9,11,13,14,1,2,3,4,8,10,12]=>[14,1,2,3,5,6,7,4,9,8,11,10,13,12]
[[1,2,3,4,8,10,11],[5,6,7,9,12,13,14]]=>[5,6,7,9,12,13,14,1,2,3,4,8,10,11]=>[14,1,2,3,5,6,7,4,9,8,10,12,13,11]
[[1,2,3,4,8,9,12],[5,6,7,10,11,13,14]]=>[5,6,7,10,11,13,14,1,2,3,4,8,9,12]=>[14,1,2,3,5,6,7,4,8,10,11,9,13,12]
[[1,2,3,4,8,9,11],[5,6,7,10,12,13,14]]=>[5,6,7,10,12,13,14,1,2,3,4,8,9,11]=>[14,1,2,3,5,6,7,4,8,10,9,12,13,11]
[[1,2,3,4,8,9,10],[5,6,7,11,12,13,14]]=>[5,6,7,11,12,13,14,1,2,3,4,8,9,10]=>[14,1,2,3,5,6,7,4,8,9,11,12,13,10]
[[1,2,3,4,7,10,12],[5,6,8,9,11,13,14]]=>[5,6,8,9,11,13,14,1,2,3,4,7,10,12]=>[14,1,2,3,5,6,4,8,9,7,11,10,13,12]
[[1,2,3,4,7,10,11],[5,6,8,9,12,13,14]]=>[5,6,8,9,12,13,14,1,2,3,4,7,10,11]=>[14,1,2,3,5,6,4,8,9,7,10,12,13,11]
[[1,2,3,4,7,9,12],[5,6,8,10,11,13,14]]=>[5,6,8,10,11,13,14,1,2,3,4,7,9,12]=>[14,1,2,3,5,6,4,8,7,10,11,9,13,12]
[[1,2,3,4,7,9,11],[5,6,8,10,12,13,14]]=>[5,6,8,10,12,13,14,1,2,3,4,7,9,11]=>[14,1,2,3,5,6,4,8,7,10,9,12,13,11]
[[1,2,3,4,7,9,10],[5,6,8,11,12,13,14]]=>[5,6,8,11,12,13,14,1,2,3,4,7,9,10]=>[14,1,2,3,5,6,4,8,7,9,11,12,13,10]
[[1,2,3,4,7,8,13],[5,6,9,10,11,12,14]]=>[5,6,9,10,11,12,14,1,2,3,4,7,8,13]=>[14,1,2,3,5,6,4,7,9,10,11,12,8,13]
[[1,2,3,4,7,8,12],[5,6,9,10,11,13,14]]=>[5,6,9,10,11,13,14,1,2,3,4,7,8,12]=>[14,1,2,3,5,6,4,7,9,10,11,8,13,12]
[[1,2,3,4,7,8,11],[5,6,9,10,12,13,14]]=>[5,6,9,10,12,13,14,1,2,3,4,7,8,11]=>[14,1,2,3,5,6,4,7,9,10,8,12,13,11]
[[1,2,3,4,7,8,10],[5,6,9,11,12,13,14]]=>[5,6,9,11,12,13,14,1,2,3,4,7,8,10]=>[14,1,2,3,5,6,4,7,9,8,11,12,13,10]
[[1,2,3,4,7,8,9],[5,6,10,11,12,13,14]]=>[5,6,10,11,12,13,14,1,2,3,4,7,8,9]=>[14,1,2,3,5,6,4,7,8,10,11,12,13,9]
[[1,2,3,4,6,10,12],[5,7,8,9,11,13,14]]=>[5,7,8,9,11,13,14,1,2,3,4,6,10,12]=>[14,1,2,3,5,4,7,8,9,6,11,10,13,12]
[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]]=>[5,7,8,9,12,13,14,1,2,3,4,6,10,11]=>[14,1,2,3,5,4,7,8,9,6,10,12,13,11]
[[1,2,3,4,6,9,13],[5,7,8,10,11,12,14]]=>[5,7,8,10,11,12,14,1,2,3,4,6,9,13]=>[14,1,2,3,5,4,7,8,6,10,11,12,9,13]
[[1,2,3,4,6,9,12],[5,7,8,10,11,13,14]]=>[5,7,8,10,11,13,14,1,2,3,4,6,9,12]=>[14,1,2,3,5,4,7,8,6,10,11,9,13,12]
[[1,2,3,4,6,9,11],[5,7,8,10,12,13,14]]=>[5,7,8,10,12,13,14,1,2,3,4,6,9,11]=>[14,1,2,3,5,4,7,8,6,10,9,12,13,11]
[[1,2,3,4,6,9,10],[5,7,8,11,12,13,14]]=>[5,7,8,11,12,13,14,1,2,3,4,6,9,10]=>[14,1,2,3,5,4,7,8,6,9,11,12,13,10]
[[1,2,3,4,6,8,13],[5,7,9,10,11,12,14]]=>[5,7,9,10,11,12,14,1,2,3,4,6,8,13]=>[14,1,2,3,5,4,7,6,9,10,11,12,8,13]
[[1,2,3,4,6,8,12],[5,7,9,10,11,13,14]]=>[5,7,9,10,11,13,14,1,2,3,4,6,8,12]=>[14,1,2,3,5,4,7,6,9,10,11,8,13,12]
[[1,2,3,4,6,8,11],[5,7,9,10,12,13,14]]=>[5,7,9,10,12,13,14,1,2,3,4,6,8,11]=>[14,1,2,3,5,4,7,6,9,10,8,12,13,11]
[[1,2,3,4,6,8,10],[5,7,9,11,12,13,14]]=>[5,7,9,11,12,13,14,1,2,3,4,6,8,10]=>[14,1,2,3,5,4,7,6,9,8,11,12,13,10]
[[1,2,3,4,6,8,9],[5,7,10,11,12,13,14]]=>[5,7,10,11,12,13,14,1,2,3,4,6,8,9]=>[14,1,2,3,5,4,7,6,8,10,11,12,13,9]
[[1,2,3,4,6,7,13],[5,8,9,10,11,12,14]]=>[5,8,9,10,11,12,14,1,2,3,4,6,7,13]=>[14,1,2,3,5,4,6,8,9,10,11,12,7,13]
[[1,2,3,4,6,7,12],[5,8,9,10,11,13,14]]=>[5,8,9,10,11,13,14,1,2,3,4,6,7,12]=>[14,1,2,3,5,4,6,8,9,10,11,7,13,12]
[[1,2,3,4,6,7,11],[5,8,9,10,12,13,14]]=>[5,8,9,10,12,13,14,1,2,3,4,6,7,11]=>[14,1,2,3,5,4,6,8,9,10,7,12,13,11]
[[1,2,3,4,6,7,10],[5,8,9,11,12,13,14]]=>[5,8,9,11,12,13,14,1,2,3,4,6,7,10]=>[14,1,2,3,5,4,6,8,9,7,11,12,13,10]
[[1,2,3,4,6,7,9],[5,8,10,11,12,13,14]]=>[5,8,10,11,12,13,14,1,2,3,4,6,7,9]=>[14,1,2,3,5,4,6,8,7,10,11,12,13,9]
[[1,2,3,4,6,7,8],[5,9,10,11,12,13,14]]=>[5,9,10,11,12,13,14,1,2,3,4,6,7,8]=>[14,1,2,3,5,4,6,7,9,10,11,12,13,8]
[[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]]=>[6,7,8,9,10,13,14,1,2,3,4,5,11,12]=>[14,1,2,3,4,6,7,8,9,10,5,11,13,12]
[[1,2,3,4,5,10,13],[6,7,8,9,11,12,14]]=>[6,7,8,9,11,12,14,1,2,3,4,5,10,13]=>[14,1,2,3,4,6,7,8,9,5,11,12,10,13]
[[1,2,3,4,5,10,12],[6,7,8,9,11,13,14]]=>[6,7,8,9,11,13,14,1,2,3,4,5,10,12]=>[14,1,2,3,4,6,7,8,9,5,11,10,13,12]
[[1,2,3,4,5,10,11],[6,7,8,9,12,13,14]]=>[6,7,8,9,12,13,14,1,2,3,4,5,10,11]=>[14,1,2,3,4,6,7,8,9,5,10,12,13,11]
[[1,2,3,4,5,9,13],[6,7,8,10,11,12,14]]=>[6,7,8,10,11,12,14,1,2,3,4,5,9,13]=>[14,1,2,3,4,6,7,8,5,10,11,12,9,13]
[[1,2,3,4,5,9,12],[6,7,8,10,11,13,14]]=>[6,7,8,10,11,13,14,1,2,3,4,5,9,12]=>[14,1,2,3,4,6,7,8,5,10,11,9,13,12]
[[1,2,3,4,5,9,11],[6,7,8,10,12,13,14]]=>[6,7,8,10,12,13,14,1,2,3,4,5,9,11]=>[14,1,2,3,4,6,7,8,5,10,9,12,13,11]
[[1,2,3,4,5,9,10],[6,7,8,11,12,13,14]]=>[6,7,8,11,12,13,14,1,2,3,4,5,9,10]=>[14,1,2,3,4,6,7,8,5,9,11,12,13,10]
[[1,2,3,4,5,8,13],[6,7,9,10,11,12,14]]=>[6,7,9,10,11,12,14,1,2,3,4,5,8,13]=>[14,1,2,3,4,6,7,5,9,10,11,12,8,13]
[[1,2,3,4,5,8,12],[6,7,9,10,11,13,14]]=>[6,7,9,10,11,13,14,1,2,3,4,5,8,12]=>[14,1,2,3,4,6,7,5,9,10,11,8,13,12]
[[1,2,3,4,5,8,11],[6,7,9,10,12,13,14]]=>[6,7,9,10,12,13,14,1,2,3,4,5,8,11]=>[14,1,2,3,4,6,7,5,9,10,8,12,13,11]
[[1,2,3,4,5,8,10],[6,7,9,11,12,13,14]]=>[6,7,9,11,12,13,14,1,2,3,4,5,8,10]=>[14,1,2,3,4,6,7,5,9,8,11,12,13,10]
[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]]=>[6,7,10,11,12,13,14,1,2,3,4,5,8,9]=>[14,1,2,3,4,6,7,5,8,10,11,12,13,9]
[[1,2,3,4,5,7,13],[6,8,9,10,11,12,14]]=>[6,8,9,10,11,12,14,1,2,3,4,5,7,13]=>[14,1,2,3,4,6,5,8,9,10,11,12,7,13]
[[1,2,3,4,5,7,12],[6,8,9,10,11,13,14]]=>[6,8,9,10,11,13,14,1,2,3,4,5,7,12]=>[14,1,2,3,4,6,5,8,9,10,11,7,13,12]
[[1,2,3,4,5,7,11],[6,8,9,10,12,13,14]]=>[6,8,9,10,12,13,14,1,2,3,4,5,7,11]=>[14,1,2,3,4,6,5,8,9,10,7,12,13,11]
[[1,2,3,4,5,7,10],[6,8,9,11,12,13,14]]=>[6,8,9,11,12,13,14,1,2,3,4,5,7,10]=>[14,1,2,3,4,6,5,8,9,7,11,12,13,10]
[[1,2,3,4,5,7,9],[6,8,10,11,12,13,14]]=>[6,8,10,11,12,13,14,1,2,3,4,5,7,9]=>[14,1,2,3,4,6,5,8,7,10,11,12,13,9]
[[1,2,3,4,5,7,8],[6,9,10,11,12,13,14]]=>[6,9,10,11,12,13,14,1,2,3,4,5,7,8]=>[14,1,2,3,4,6,5,7,9,10,11,12,13,8]
[[1,2,3,4,5,6,13],[7,8,9,10,11,12,14]]=>[7,8,9,10,11,12,14,1,2,3,4,5,6,13]=>[14,1,2,3,4,5,7,8,9,10,11,12,6,13]
[[1,2,3,4,5,6,12],[7,8,9,10,11,13,14]]=>[7,8,9,10,11,13,14,1,2,3,4,5,6,12]=>[14,1,2,3,4,5,7,8,9,10,11,6,13,12]
[[1,2,3,4,5,6,11],[7,8,9,10,12,13,14]]=>[7,8,9,10,12,13,14,1,2,3,4,5,6,11]=>[14,1,2,3,4,5,7,8,9,10,6,12,13,11]
[[1,2,3,4,5,6,10],[7,8,9,11,12,13,14]]=>[7,8,9,11,12,13,14,1,2,3,4,5,6,10]=>[14,1,2,3,4,5,7,8,9,6,11,12,13,10]
[[1,2,3,4,5,6,9],[7,8,10,11,12,13,14]]=>[7,8,10,11,12,13,14,1,2,3,4,5,6,9]=>[14,1,2,3,4,5,7,8,6,10,11,12,13,9]
[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]]=>[7,9,10,11,12,13,14,1,2,3,4,5,6,8]=>[14,1,2,3,4,5,7,6,9,10,11,12,13,8]
[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]]=>[8,9,10,11,12,13,14,1,2,3,4,5,6,7]=>[14,1,2,3,4,5,6,8,9,10,11,12,13,7]
[[1,3,5,7,9,11,13,15],[2,4,6,8,10,12,14,16]]=>[2,4,6,8,10,12,14,16,1,3,5,7,9,11,13,15]=>[16,2,1,4,3,6,5,8,7,10,9,12,11,14,13,15]
[[1,3,5,7,9,11,13,14],[2,4,6,8,10,12,15,16]]=>[2,4,6,8,10,12,15,16,1,3,5,7,9,11,13,14]=>[16,2,1,4,3,6,5,8,7,10,9,12,11,13,15,14]
[[1,3,5,7,9,11,12,14],[2,4,6,8,10,13,15,16]]=>[2,4,6,8,10,13,15,16,1,3,5,7,9,11,12,14]=>[16,2,1,4,3,6,5,8,7,10,9,11,13,12,15,14]
[[1,3,5,7,9,11,12,13],[2,4,6,8,10,14,15,16]]=>[2,4,6,8,10,14,15,16,1,3,5,7,9,11,12,13]=>[16,2,1,4,3,6,5,8,7,10,9,11,12,14,15,13]
[[1,3,5,7,9,10,12,14],[2,4,6,8,11,13,15,16]]=>[2,4,6,8,11,13,15,16,1,3,5,7,9,10,12,14]=>[16,2,1,4,3,6,5,8,7,9,11,10,13,12,15,14]
[[1,3,5,7,9,10,11,14],[2,4,6,8,12,13,15,16]]=>[2,4,6,8,12,13,15,16,1,3,5,7,9,10,11,14]=>[16,2,1,4,3,6,5,8,7,9,10,12,13,11,15,14]
[[1,3,5,7,9,10,11,13],[2,4,6,8,12,14,15,16]]=>[2,4,6,8,12,14,15,16,1,3,5,7,9,10,11,13]=>[16,2,1,4,3,6,5,8,7,9,10,12,11,14,15,13]
[[1,3,5,7,9,10,11,12],[2,4,6,8,13,14,15,16]]=>[2,4,6,8,13,14,15,16,1,3,5,7,9,10,11,12]=>[16,2,1,4,3,6,5,8,7,9,10,11,13,14,15,12]
[[1,3,5,7,8,10,12,14],[2,4,6,9,11,13,15,16]]=>[2,4,6,9,11,13,15,16,1,3,5,7,8,10,12,14]=>[16,2,1,4,3,6,5,7,9,8,11,10,13,12,15,14]
[[1,3,5,7,8,9,12,14],[2,4,6,10,11,13,15,16]]=>[2,4,6,10,11,13,15,16,1,3,5,7,8,9,12,14]=>[16,2,1,4,3,6,5,7,8,10,11,9,13,12,15,14]
[[1,3,5,7,8,9,11,14],[2,4,6,10,12,13,15,16]]=>[2,4,6,10,12,13,15,16,1,3,5,7,8,9,11,14]=>[16,2,1,4,3,6,5,7,8,10,9,12,13,11,15,14]
[[1,3,5,7,8,9,10,14],[2,4,6,11,12,13,15,16]]=>[2,4,6,11,12,13,15,16,1,3,5,7,8,9,10,14]=>[16,2,1,4,3,6,5,7,8,9,11,12,13,10,15,14]
[[1,3,5,6,8,10,12,14],[2,4,7,9,11,13,15,16]]=>[2,4,7,9,11,13,15,16,1,3,5,6,8,10,12,14]=>[16,2,1,4,3,5,7,6,9,8,11,10,13,12,15,14]
[[1,3,5,6,7,10,12,14],[2,4,8,9,11,13,15,16]]=>[2,4,8,9,11,13,15,16,1,3,5,6,7,10,12,14]=>[16,2,1,4,3,5,6,8,9,7,11,10,13,12,15,14]
[[1,3,5,6,7,9,12,14],[2,4,8,10,11,13,15,16]]=>[2,4,8,10,11,13,15,16,1,3,5,6,7,9,12,14]=>[16,2,1,4,3,5,6,8,7,10,11,9,13,12,15,14]
[[1,3,5,6,7,8,12,14],[2,4,9,10,11,13,15,16]]=>[2,4,9,10,11,13,15,16,1,3,5,6,7,8,12,14]=>[16,2,1,4,3,5,6,7,9,10,11,8,13,12,15,14]
[[1,3,4,6,8,10,12,14],[2,5,7,9,11,13,15,16]]=>[2,5,7,9,11,13,15,16,1,3,4,6,8,10,12,14]=>[16,2,1,3,5,4,7,6,9,8,11,10,13,12,15,14]
[[1,3,4,5,8,10,12,14],[2,6,7,9,11,13,15,16]]=>[2,6,7,9,11,13,15,16,1,3,4,5,8,10,12,14]=>[16,2,1,3,4,6,7,5,9,8,11,10,13,12,15,14]
[[1,3,4,5,7,10,12,14],[2,6,8,9,11,13,15,16]]=>[2,6,8,9,11,13,15,16,1,3,4,5,7,10,12,14]=>[16,2,1,3,4,6,5,8,9,7,11,10,13,12,15,14]
[[1,3,4,5,6,10,12,14],[2,7,8,9,11,13,15,16]]=>[2,7,8,9,11,13,15,16,1,3,4,5,6,10,12,14]=>[16,2,1,3,4,5,7,8,9,6,11,10,13,12,15,14]
[[1,3,4,5,6,8,9,10],[2,7,11,12,13,14,15,16]]=>[2,7,11,12,13,14,15,16,1,3,4,5,6,8,9,10]=>[16,2,1,3,4,5,7,6,8,9,11,12,13,14,15,10]
[[1,3,4,5,6,7,9,11],[2,8,10,12,13,14,15,16]]=>[2,8,10,12,13,14,15,16,1,3,4,5,6,7,9,11]=>[16,2,1,3,4,5,6,8,7,10,9,12,13,14,15,11]
[[1,3,4,5,6,7,9,10],[2,8,11,12,13,14,15,16]]=>[2,8,11,12,13,14,15,16,1,3,4,5,6,7,9,10]=>[16,2,1,3,4,5,6,8,7,9,11,12,13,14,15,10]
[[1,3,4,5,6,7,8,12],[2,9,10,11,13,14,15,16]]=>[2,9,10,11,13,14,15,16,1,3,4,5,6,7,8,12]=>[16,2,1,3,4,5,6,7,9,10,11,8,13,14,15,12]
[[1,3,4,5,6,7,8,11],[2,9,10,12,13,14,15,16]]=>[2,9,10,12,13,14,15,16,1,3,4,5,6,7,8,11]=>[16,2,1,3,4,5,6,7,9,10,8,12,13,14,15,11]
[[1,3,4,5,6,7,8,10],[2,9,11,12,13,14,15,16]]=>[2,9,11,12,13,14,15,16,1,3,4,5,6,7,8,10]=>[16,2,1,3,4,5,6,7,9,8,11,12,13,14,15,10]
[[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]]=>[2,10,11,12,13,14,15,16,1,3,4,5,6,7,8,9]=>[16,2,1,3,4,5,6,7,8,10,11,12,13,14,15,9]
[[1,2,4,6,8,10,12,14],[3,5,7,9,11,13,15,16]]=>[3,5,7,9,11,13,15,16,1,2,4,6,8,10,12,14]=>[16,1,3,2,5,4,7,6,9,8,11,10,13,12,15,14]
[[1,2,3,6,8,10,12,14],[4,5,7,9,11,13,15,16]]=>[4,5,7,9,11,13,15,16,1,2,3,6,8,10,12,14]=>[16,1,2,4,5,3,7,6,9,8,11,10,13,12,15,14]
[[1,2,3,5,8,10,12,14],[4,6,7,9,11,13,15,16]]=>[4,6,7,9,11,13,15,16,1,2,3,5,8,10,12,14]=>[16,1,2,4,3,6,7,5,9,8,11,10,13,12,15,14]
[[1,2,3,4,8,10,12,14],[5,6,7,9,11,13,15,16]]=>[5,6,7,9,11,13,15,16,1,2,3,4,8,10,12,14]=>[16,1,2,3,5,6,7,4,9,8,11,10,13,12,15,14]
[[1,2,3,4,6,7,8,15],[5,9,10,11,12,13,14,16]]=>[5,9,10,11,12,13,14,16,1,2,3,4,6,7,8,15]=>[16,1,2,3,5,4,6,7,9,10,11,12,13,14,8,15]
[[1,2,3,4,5,7,9,15],[6,8,10,11,12,13,14,16]]=>[6,8,10,11,12,13,14,16,1,2,3,4,5,7,9,15]=>[16,1,2,3,4,6,5,8,7,10,11,12,13,14,9,15]
[[1,2,3,4,5,7,8,15],[6,9,10,11,12,13,14,16]]=>[6,9,10,11,12,13,14,16,1,2,3,4,5,7,8,15]=>[16,1,2,3,4,6,5,7,9,10,11,12,13,14,8,15]
[[1,2,3,4,5,6,10,15],[7,8,9,11,12,13,14,16]]=>[7,8,9,11,12,13,14,16,1,2,3,4,5,6,10,15]=>[16,1,2,3,4,5,7,8,9,6,11,12,13,14,10,15]
[[1,2,3,4,5,6,9,15],[7,8,10,11,12,13,14,16]]=>[7,8,10,11,12,13,14,16,1,2,3,4,5,6,9,15]=>[16,1,2,3,4,5,7,8,6,10,11,12,13,14,9,15]
[[1,2,3,4,5,6,8,15],[7,9,10,11,12,13,14,16]]=>[7,9,10,11,12,13,14,16,1,2,3,4,5,6,8,15]=>[16,1,2,3,4,5,7,6,9,10,11,12,13,14,8,15]
[[1,2,3,4,5,6,7,15],[8,9,10,11,12,13,14,16]]=>[8,9,10,11,12,13,14,16,1,2,3,4,5,6,7,15]=>[16,1,2,3,4,5,6,8,9,10,11,12,13,14,7,15]
[[1,2,3,4,5,6,7,8,9]]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]
[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]
[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>[9,1,2,3,4,5,6,8,7]
[[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,9,7]
[[1,2,3,4,5,6],[7,8,9]]=>[7,8,9,1,2,3,4,5,6]=>[9,1,2,3,4,5,7,8,6]
[[1,2,3,4,5,6],[7,8],[9]]=>[9,7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,9,7,6]
[[1,2,3,4,5,6],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,8,9,6]
[[1,2,3,4,5],[6,7,8,9]]=>[6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,6,7,8,5]
[[1,2,3,4,5],[6,7,8],[9]]=>[9,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,9,6,7,5]
[[1,2,3,4,5],[6,7],[8,9]]=>[8,9,6,7,1,2,3,4,5]=>[7,1,2,3,4,9,6,8,5]
[[1,2,3,4,5],[6,7],[8],[9]]=>[9,8,6,7,1,2,3,4,5]=>[7,1,2,3,4,8,6,9,5]
[[1,2,3,4,5],[6],[7],[8],[9]]=>[9,8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,9,5]
[[1,2,3,4],[5,6,7,8],[9]]=>[9,5,6,7,8,1,2,3,4]=>[8,1,2,3,9,5,6,7,4]
[[1,2,3,4],[5,6,7],[8,9]]=>[8,9,5,6,7,1,2,3,4]=>[7,1,2,3,9,5,6,8,4]
[[1,2,3,4],[5,6,7],[8],[9]]=>[9,8,5,6,7,1,2,3,4]=>[7,1,2,3,8,5,6,9,4]
[[1,2,3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,9,7,4]
[[1,2,3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,1,2,3,4]=>[6,1,2,3,7,5,8,9,4]
[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,9,4]
[[1,2,3],[4,5,6],[7,8,9]]=>[7,8,9,4,5,6,1,2,3]=>[6,1,2,9,4,5,7,8,3]
[[1,2,3],[4,5,6],[7,8],[9]]=>[9,7,8,4,5,6,1,2,3]=>[6,1,2,8,4,5,9,7,3]
[[1,2,3],[4,5,6],[7],[8],[9]]=>[9,8,7,4,5,6,1,2,3]=>[6,1,2,7,4,5,8,9,3]
[[1,2,3],[4,5],[6,7],[8,9]]=>[8,9,6,7,4,5,1,2,3]=>[5,1,2,7,4,9,6,8,3]
[[1,2,3],[4,5],[6,7],[8],[9]]=>[9,8,6,7,4,5,1,2,3]=>[5,1,2,7,4,8,6,9,3]
[[1,2,3],[4,5],[6],[7],[8],[9]]=>[9,8,7,6,4,5,1,2,3]=>[5,1,2,6,4,7,8,9,3]
[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,9,3]
[[1,2],[3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,9,7,2]
[[1,2],[3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,3,4,1,2]=>[4,1,6,3,7,5,8,9,2]
[[1,2],[3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,3,4,1,2]=>[4,1,5,3,6,7,8,9,2]
[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,2]
[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]
[[1,2,3,4,5,6,7,8,9,10]]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]
[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,9]
[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>[10,1,2,3,4,5,6,7,9,8]
[[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,10,8]
[[1,2,3,4,5,6,7],[8,9,10]]=>[8,9,10,1,2,3,4,5,6,7]=>[10,1,2,3,4,5,6,8,9,7]
[[1,2,3,4,5,6,7],[8,9],[10]]=>[10,8,9,1,2,3,4,5,6,7]=>[9,1,2,3,4,5,6,10,8,7]
[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10,9,8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,9,10,7]
[[1,2,3,4,5,6],[7,8,9,10]]=>[7,8,9,10,1,2,3,4,5,6]=>[10,1,2,3,4,5,7,8,9,6]
[[1,2,3,4,5,6],[7,8,9],[10]]=>[10,7,8,9,1,2,3,4,5,6]=>[9,1,2,3,4,5,10,7,8,6]
[[1,2,3,4,5,6],[7,8],[9,10]]=>[9,10,7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,10,7,9,6]
[[1,2,3,4,5,6],[7,8],[9],[10]]=>[10,9,7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,9,7,10,6]
[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,8,9,10,6]
[[1,2,3,4,5],[6,7,8,9],[10]]=>[10,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,10,6,7,8,5]
[[1,2,3,4,5],[6,7,8],[9,10]]=>[9,10,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,10,6,7,9,5]
[[1,2,3,4,5],[6,7,8],[9],[10]]=>[10,9,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,9,6,7,10,5]
[[1,2,3,4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,1,2,3,4,5]=>[7,1,2,3,4,9,6,10,8,5]
[[1,2,3,4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,1,2,3,4,5]=>[7,1,2,3,4,8,6,9,10,5]
[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,9,10,5]
[[1,2,3,4],[5,6,7,8],[9,10]]=>[9,10,5,6,7,8,1,2,3,4]=>[8,1,2,3,10,5,6,7,9,4]
[[1,2,3,4],[5,6,7,8],[9],[10]]=>[10,9,5,6,7,8,1,2,3,4]=>[8,1,2,3,9,5,6,7,10,4]
[[1,2,3,4],[5,6,7],[8,9,10]]=>[8,9,10,5,6,7,1,2,3,4]=>[7,1,2,3,10,5,6,8,9,4]
[[1,2,3,4],[5,6,7],[8,9],[10]]=>[10,8,9,5,6,7,1,2,3,4]=>[7,1,2,3,9,5,6,10,8,4]
[[1,2,3,4],[5,6,7],[8],[9],[10]]=>[10,9,8,5,6,7,1,2,3,4]=>[7,1,2,3,8,5,6,9,10,4]
[[1,2,3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,10,7,9,4]
[[1,2,3,4],[5,6],[7,8],[9],[10]]=>[10,9,7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,9,7,10,4]
[[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[10,9,8,7,5,6,1,2,3,4]=>[6,1,2,3,7,5,8,9,10,4]
[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,9,10,4]
[[1,2,3],[4,5,6],[7,8,9],[10]]=>[10,7,8,9,4,5,6,1,2,3]=>[6,1,2,9,4,5,10,7,8,3]
[[1,2,3],[4,5,6],[7,8],[9,10]]=>[9,10,7,8,4,5,6,1,2,3]=>[6,1,2,8,4,5,10,7,9,3]
[[1,2,3],[4,5,6],[7,8],[9],[10]]=>[10,9,7,8,4,5,6,1,2,3]=>[6,1,2,8,4,5,9,7,10,3]
[[1,2,3],[4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,4,5,6,1,2,3]=>[6,1,2,7,4,5,8,9,10,3]
[[1,2,3],[4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,4,5,1,2,3]=>[5,1,2,7,4,9,6,10,8,3]
[[1,2,3],[4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,4,5,1,2,3]=>[5,1,2,7,4,8,6,9,10,3]
[[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,4,5,1,2,3]=>[5,1,2,6,4,7,8,9,10,3]
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,9,10,3]
[[1,2],[3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,10,7,9,2]
[[1,2],[3,4],[5,6],[7,8],[9],[10]]=>[10,9,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,9,7,10,2]
[[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>[10,9,8,7,5,6,3,4,1,2]=>[4,1,6,3,7,5,8,9,10,2]
[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,3,4,1,2]=>[4,1,5,3,6,7,8,9,10,2]
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,10,2]
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]
[[1,2,3,4,5],[6,7,8,9],[10,11]]=>[10,11,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,11,6,7,8,10,5]
[[1,2,3,4,5],[6,7,8,9],[10],[11]]=>[11,10,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,10,6,7,8,11,5]
[[1,2,3,4,5],[6,7,8],[9,10,11]]=>[9,10,11,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,11,6,7,9,10,5]
[[1,2,3,4,5],[6,7,8],[9,10],[11]]=>[11,9,10,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,10,6,7,11,9,5]
[[1,2,3,4,5],[6,7,8],[9],[10],[11]]=>[11,10,9,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,9,6,7,10,11,5]
[[1,2,3,4,5],[6,7],[8,9],[10,11]]=>[10,11,8,9,6,7,1,2,3,4,5]=>[7,1,2,3,4,9,6,11,8,10,5]
[[1,2,3,4,5],[6,7],[8,9],[10],[11]]=>[11,10,8,9,6,7,1,2,3,4,5]=>[7,1,2,3,4,9,6,10,8,11,5]
[[1,2,3,4],[5,6,7,8],[9,10,11]]=>[9,10,11,5,6,7,8,1,2,3,4]=>[8,1,2,3,11,5,6,7,9,10,4]
[[1,2,3,4],[5,6,7,8],[9,10],[11]]=>[11,9,10,5,6,7,8,1,2,3,4]=>[8,1,2,3,10,5,6,7,11,9,4]
[[1,2,3,4],[5,6,7,8],[9],[10],[11]]=>[11,10,9,5,6,7,8,1,2,3,4]=>[8,1,2,3,9,5,6,7,10,11,4]
[[1,2,3,4],[5,6,7],[8,9,10],[11]]=>[11,8,9,10,5,6,7,1,2,3,4]=>[7,1,2,3,10,5,6,11,8,9,4]
[[1,2,3,4],[5,6,7],[8,9],[10,11]]=>[10,11,8,9,5,6,7,1,2,3,4]=>[7,1,2,3,9,5,6,11,8,10,4]
[[1,2,3,4],[5,6,7],[8,9],[10],[11]]=>[11,10,8,9,5,6,7,1,2,3,4]=>[7,1,2,3,9,5,6,10,8,11,4]
[[1,2,3,4],[5,6],[7,8],[9,10],[11]]=>[11,9,10,7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,10,7,11,9,4]
[[1,2,3],[4,5,6],[7,8,9],[10,11]]=>[10,11,7,8,9,4,5,6,1,2,3]=>[6,1,2,9,4,5,11,7,8,10,3]
[[1,2,3],[4,5,6],[7,8,9],[10],[11]]=>[11,10,7,8,9,4,5,6,1,2,3]=>[6,1,2,9,4,5,10,7,8,11,3]
[[1,2,3],[4,5,6],[7,8],[9,10],[11]]=>[11,9,10,7,8,4,5,6,1,2,3]=>[6,1,2,8,4,5,10,7,11,9,3]
[[1,2,3,4,5,6,7,8,9,10,11,12]]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]
[[1,2,3,4,5,6],[7,8,9,10],[11,12]]=>[11,12,7,8,9,10,1,2,3,4,5,6]=>[10,1,2,3,4,5,12,7,8,9,11,6]
[[1,2,3,4,5],[6,7,8,9],[10,11,12]]=>[10,11,12,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,12,6,7,8,10,11,5]
[[1,2,3,4,5],[6,7,8,9],[10,11],[12]]=>[12,10,11,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,11,6,7,8,12,10,5]
[[1,2,3,4,5],[6,7,8,9],[10],[11],[12]]=>[12,11,10,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,10,6,7,8,11,12,5]
[[1,2,3,4,5],[6,7,8],[9,10,11],[12]]=>[12,9,10,11,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,11,6,7,12,9,10,5]
[[1,2,3,4,5],[6,7,8],[9,10],[11,12]]=>[11,12,9,10,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,10,6,7,12,9,11,5]
[[1,2,3,4,5],[6,7,8],[9,10],[11],[12]]=>[12,11,9,10,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,10,6,7,11,9,12,5]
[[1,2,3,4,5],[6,7],[8,9],[10,11],[12]]=>[12,10,11,8,9,6,7,1,2,3,4,5]=>[7,1,2,3,4,9,6,11,8,12,10,5]
[[1,2,3,4],[5,6,7,8],[9,10,11],[12]]=>[12,9,10,11,5,6,7,8,1,2,3,4]=>[8,1,2,3,11,5,6,7,12,9,10,4]
[[1,2,3,4],[5,6,7,8],[9,10],[11,12]]=>[11,12,9,10,5,6,7,8,1,2,3,4]=>[8,1,2,3,10,5,6,7,12,9,11,4]
[[1,2,3,4],[5,6,7,8],[9,10],[11],[12]]=>[12,11,9,10,5,6,7,8,1,2,3,4]=>[8,1,2,3,10,5,6,7,11,9,12,4]
[[1,2,3,4],[5,6,7],[8,9,10],[11,12]]=>[11,12,8,9,10,5,6,7,1,2,3,4]=>[7,1,2,3,10,5,6,12,8,9,11,4]
[[1,2,3,4],[5,6,7],[8,9,10],[11],[12]]=>[12,11,8,9,10,5,6,7,1,2,3,4]=>[7,1,2,3,10,5,6,11,8,9,12,4]
[[1,2,3,4],[5,6,7],[8,9],[10,11],[12]]=>[12,10,11,8,9,5,6,7,1,2,3,4]=>[7,1,2,3,9,5,6,11,8,12,10,4]
[[1,2,3,4],[5,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,10,7,12,9,11,4]
[[1,2,3],[4,5,6],[7,8,9],[10,11],[12]]=>[12,10,11,7,8,9,4,5,6,1,2,3]=>[6,1,2,9,4,5,11,7,8,12,10,3]
[[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]]=>[12,11,9,10,7,8,4,5,6,1,2,3]=>[6,1,2,8,4,5,10,7,11,9,12,3]
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,10,7,12,9,11,2]
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,11,12,1]
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]]=>[13,10,11,12,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,12,6,7,8,13,10,11,5]
[[1,2,3,4,5],[6,7,8,9],[10,11],[12,13]]=>[12,13,10,11,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,11,6,7,8,13,10,12,5]
[[1,2,3,4,5],[6,7,8,9],[10,11],[12],[13]]=>[13,12,10,11,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,11,6,7,8,12,10,13,5]
[[1,2,3,4,5],[6,7,8],[9,10,11],[12,13]]=>[12,13,9,10,11,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,11,6,7,13,9,10,12,5]
[[1,2,3,4,5],[6,7,8],[9,10,11],[12],[13]]=>[13,12,9,10,11,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,11,6,7,12,9,10,13,5]
[[1,2,3,4,5],[6,7,8],[9,10],[11,12],[13]]=>[13,11,12,9,10,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,10,6,7,12,9,13,11,5]
[[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]]=>[12,13,9,10,11,5,6,7,8,1,2,3,4]=>[8,1,2,3,11,5,6,7,13,9,10,12,4]
[[1,2,3,4],[5,6,7,8],[9,10,11],[12],[13]]=>[13,12,9,10,11,5,6,7,8,1,2,3,4]=>[8,1,2,3,11,5,6,7,12,9,10,13,4]
[[1,2,3,4],[5,6,7,8],[9,10],[11,12],[13]]=>[13,11,12,9,10,5,6,7,8,1,2,3,4]=>[8,1,2,3,10,5,6,7,12,9,13,11,4]
[[1,2,3,4],[5,6,7],[8,9,10],[11,12],[13]]=>[13,11,12,8,9,10,5,6,7,1,2,3,4]=>[7,1,2,3,10,5,6,12,8,9,13,11,4]
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14]]=>[13,14,10,11,12,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,12,6,7,8,14,10,11,13,5]
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13],[14]]=>[14,13,10,11,12,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,12,6,7,8,13,10,11,14,5]
[[1,2,3,4,5],[6,7,8,9],[10,11],[12,13],[14]]=>[14,12,13,10,11,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,11,6,7,8,13,10,14,12,5]
[[1,2,3,4,5],[6,7,8],[9,10,11],[12,13],[14]]=>[14,12,13,9,10,11,6,7,8,1,2,3,4,5]=>[8,1,2,3,4,11,6,7,13,9,10,14,12,5]
[[1,2,3,4],[5,6,7,8],[9,10,11],[12,13],[14]]=>[14,12,13,9,10,11,5,6,7,8,1,2,3,4]=>[8,1,2,3,11,5,6,7,13,9,10,14,12,4]
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14],[15]]=>[15,13,14,10,11,12,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,12,6,7,8,14,10,11,15,13,5]
[[1,3,4,5,6,7,8,9],[2]]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]
[[1,2,5,6,7,8,9],[3,4]]=>[3,4,1,2,5,6,7,8,9]=>[4,1,3,2,5,6,7,8,9]
[[1,4,5,6,7,8,9],[2],[3]]=>[3,2,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]
[[1,2,3,7,8,9],[4,5,6]]=>[4,5,6,1,2,3,7,8,9]=>[6,1,2,4,5,3,7,8,9]
[[1,3,6,7,8,9],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9]=>[5,4,1,2,3,6,7,8,9]
[[1,5,6,7,8,9],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]
[[1,2,3,4,9],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9]=>[8,1,2,3,5,6,7,4,9]
[[1,3,4,8,9],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9]=>[7,5,1,3,2,6,4,8,9]
[[1,2,7,8,9],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8,9]=>[4,1,6,3,5,2,7,8,9]
[[1,4,7,8,9],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8,9]=>[6,3,5,1,2,4,7,8,9]
[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]
[[1,3,4,5],[2,7,8,9],[6]]=>[6,2,7,8,9,1,3,4,5]=>[9,6,1,3,4,2,7,8,5]
[[1,2,5,9],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5,9]=>[8,1,7,3,2,6,4,5,9]
[[1,4,5,9],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5,9]=>[8,3,6,1,4,2,7,5,9]
[[1,3,8,9],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8,9]=>[5,7,1,6,2,4,3,8,9]
[[1,5,8,9],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9]=>[7,3,4,6,1,2,5,8,9]
[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9]=>[2,3,4,5,6,1,7,8,9]
[[1,3,6],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6]=>[9,8,1,7,2,3,4,5,6]
[[1,5,6],[2,8,9],[3],[4],[7]]=>[7,4,3,2,8,9,1,5,6]=>[9,3,4,7,1,5,2,8,6]
[[1,2,9],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9]=>[4,1,6,3,8,5,7,2,9]
[[1,4,9],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9]=>[6,8,5,1,7,2,3,4,9]
[[1,6,9],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6,9]=>[8,3,4,5,7,1,2,6,9]
[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9]=>[2,3,4,5,6,7,1,8,9]
[[1,3],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3]=>[5,7,1,9,2,8,4,6,3]
[[1,5],[2,7],[3,9],[4],[6],[8]]=>[8,6,4,3,9,2,7,1,5]=>[7,9,4,6,1,8,2,3,5]
[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,9,1,7]=>[9,3,4,5,6,8,1,2,7]
[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,1,9]
[[1,3,4,5,6,7,8,9,10],[2]]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]
[[1,2,5,6,7,8,9,10],[3,4]]=>[3,4,1,2,5,6,7,8,9,10]=>[4,1,3,2,5,6,7,8,9,10]
[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,2,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]
[[1,2,3,7,8,9,10],[4,5,6]]=>[4,5,6,1,2,3,7,8,9,10]=>[6,1,2,4,5,3,7,8,9,10]
[[1,3,6,7,8,9,10],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9,10]=>[5,4,1,2,3,6,7,8,9,10]
[[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]
[[1,2,3,4,9,10],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9,10]=>[8,1,2,3,5,6,7,4,9,10]
[[1,3,4,8,9,10],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9,10]=>[7,5,1,3,2,6,4,8,9,10]
[[1,2,7,8,9,10],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8,9,10]=>[4,1,6,3,5,2,7,8,9,10]
[[1,4,7,8,9,10],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8,9,10]=>[6,3,5,1,2,4,7,8,9,10]
[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]
[[1,3,4,5,10],[2,7,8,9],[6]]=>[6,2,7,8,9,1,3,4,5,10]=>[9,6,1,3,4,2,7,8,5,10]
[[1,2,5,9,10],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5,9,10]=>[8,1,7,3,2,6,4,5,9,10]
[[1,4,5,9,10],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5,9,10]=>[8,3,6,1,4,2,7,5,9,10]
[[1,3,8,9,10],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8,9,10]=>[5,7,1,6,2,4,3,8,9,10]
[[1,5,8,9,10],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9,10]=>[7,3,4,6,1,2,5,8,9,10]
[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]
[[1,2,5,6],[3,4,9,10],[7,8]]=>[7,8,3,4,9,10,1,2,5,6]=>[10,1,8,3,2,5,7,4,9,6]
[[1,4,5,6],[2,8,9,10],[3],[7]]=>[7,3,2,8,9,10,1,4,5,6]=>[10,3,7,1,4,5,2,8,9,6]
[[1,2,3,10],[4,5,6],[7,8,9]]=>[7,8,9,4,5,6,1,2,3,10]=>[6,1,2,9,4,5,7,8,3,10]
[[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>[9,8,1,7,2,3,4,5,6,10]
[[1,5,6,10],[2,8,9],[3],[4],[7]]=>[7,4,3,2,8,9,1,5,6,10]=>[9,3,4,7,1,5,2,8,6,10]
[[1,2,9,10],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9,10]=>[4,1,6,3,8,5,7,2,9,10]
[[1,4,9,10],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9,10]=>[6,8,5,1,7,2,3,4,9,10]
[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6,9,10]=>[8,3,4,5,7,1,2,6,9,10]
[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]
[[1,3,4],[2,6,7],[5,9,10],[8]]=>[8,5,9,10,2,6,7,1,3,4]=>[7,10,1,3,8,2,6,5,9,4]
[[1,2,7],[3,4,10],[5,6],[8,9]]=>[8,9,5,6,3,4,10,1,2,7]=>[10,1,6,3,9,5,2,8,4,7]
[[1,4,7],[2,6,10],[3,9],[5],[8]]=>[8,5,3,9,2,6,10,1,4,7]=>[10,9,5,1,8,2,4,3,6,7]
[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>[8,5,4,3,2,9,10,1,6,7]=>[10,3,4,5,8,1,6,2,9,7]
[[1,3,10],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3,10]=>[5,7,1,9,2,8,4,6,3,10]
[[1,5,10],[2,7],[3,9],[4],[6],[8]]=>[8,6,4,3,9,2,7,1,5,10]=>[7,9,4,6,1,8,2,3,5,10]
[[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,9,1,7,10]=>[9,3,4,5,6,8,1,2,7,10]
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9,10]=>[2,3,4,5,6,7,8,1,9,10]
[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[9,7,5,10,3,8,2,6,1,4]=>[6,8,10,1,7,2,9,3,5,4]
[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>[9,7,5,4,3,10,2,8,1,6]=>[8,10,4,5,7,1,9,2,3,6]
[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,10,1,8]=>[10,3,4,5,6,7,9,1,2,8]
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,1,10]
[[1,2,5,6,11],[3,4,9,10],[7,8]]=>[7,8,3,4,9,10,1,2,5,6,11]=>[10,1,8,3,2,5,7,4,9,6,11]
[[1,4,5,6,11],[2,8,9,10],[3],[7]]=>[7,3,2,8,9,10,1,4,5,6,11]=>[10,3,7,1,4,5,2,8,9,6,11]
[[1,2,3,10,11],[4,5,6],[7,8,9]]=>[7,8,9,4,5,6,1,2,3,10,11]=>[6,1,2,9,4,5,7,8,3,10,11]
[[1,3,6,10,11],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10,11]=>[9,8,1,7,2,3,4,5,6,10,11]
[[1,5,6,10,11],[2,8,9],[3],[4],[7]]=>[7,4,3,2,8,9,1,5,6,10,11]=>[9,3,4,7,1,5,2,8,6,10,11]
[[1,2,9,10,11],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9,10,11]=>[4,1,6,3,8,5,7,2,9,10,11]
[[1,4,9,10,11],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9,10,11]=>[6,8,5,1,7,2,3,4,9,10,11]
[[1,2,3,7],[4,5,6,11],[8,9,10]]=>[8,9,10,4,5,6,11,1,2,3,7]=>[11,1,2,10,4,5,3,8,9,6,7]
[[1,3,6,7],[2,5,10,11],[4,9],[8]]=>[8,4,9,2,5,10,11,1,3,6,7]=>[11,9,1,8,2,3,6,4,5,10,7]
[[1,5,6,7],[2,9,10,11],[3],[4],[8]]=>[8,4,3,2,9,10,11,1,5,6,7]=>[11,3,4,8,1,5,6,2,9,10,7]
[[1,3,4,11],[2,6,7],[5,9,10],[8]]=>[8,5,9,10,2,6,7,1,3,4,11]=>[7,10,1,3,8,2,6,5,9,4,11]
[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>[8,9,5,6,3,4,10,1,2,7,11]=>[10,1,6,3,9,5,2,8,4,7,11]
[[1,4,7,11],[2,6,10],[3,9],[5],[8]]=>[8,5,3,9,2,6,10,1,4,7,11]=>[10,9,5,1,8,2,4,3,6,7,11]
[[1,3,10,11],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3,10,11]=>[5,7,1,9,2,8,4,6,3,10,11]
[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>[9,10,6,7,11,3,4,8,1,2,5]=>[8,1,11,3,2,10,6,4,9,7,5]
[[1,4,5],[2,7,8],[3,10,11],[6],[9]]=>[9,6,3,10,11,2,7,8,1,4,5]=>[8,11,6,1,4,9,2,7,3,10,5]
[[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>[9,6,10,4,7,2,5,11,1,3,8]=>[11,7,1,10,2,9,4,3,6,5,8]
[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>[7,8,3,4,9,10,1,2,5,6,11,12]=>[10,1,8,3,2,5,7,4,9,6,11,12]
[[1,2,3,7,12],[4,5,6,11],[8,9,10]]=>[8,9,10,4,5,6,11,1,2,3,7,12]=>[11,1,2,10,4,5,3,8,9,6,7,12]
[[1,3,6,7,12],[2,5,10,11],[4,9],[8]]=>[8,4,9,2,5,10,11,1,3,6,7,12]=>[11,9,1,8,2,3,6,4,5,10,7,12]
[[1,5,6,7,12],[2,9,10,11],[3],[4],[8]]=>[8,4,3,2,9,10,11,1,5,6,7,12]=>[11,3,4,8,1,5,6,2,9,10,7,12]
[[1,3,4,11,12],[2,6,7],[5,9,10],[8]]=>[8,5,9,10,2,6,7,1,3,4,11,12]=>[7,10,1,3,8,2,6,5,9,4,11,12]
[[1,2,7,11,12],[3,4,10],[5,6],[8,9]]=>[8,9,5,6,3,4,10,1,2,7,11,12]=>[10,1,6,3,9,5,2,8,4,7,11,12]
[[1,4,7,11,12],[2,6,10],[3,9],[5],[8]]=>[8,5,3,9,2,6,10,1,4,7,11,12]=>[10,9,5,1,8,2,4,3,6,7,11,12]
[[1,3,10,11,12],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3,10,11,12]=>[5,7,1,9,2,8,4,6,3,10,11,12]
[[1,3,4,8],[2,6,7,12],[5,10,11],[9]]=>[9,5,10,11,2,6,7,12,1,3,4,8]=>[12,11,1,3,9,2,6,4,5,10,7,8]
[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>[9,10,5,6,3,4,11,12,1,2,7,8]=>[12,1,6,3,10,5,2,7,9,4,11,8]
[[1,4,7,8],[2,6,11,12],[3,10],[5],[9]]=>[9,5,3,10,2,6,11,12,1,4,7,8]=>[12,10,5,1,9,2,4,7,3,6,11,8]
[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>[9,10,6,7,11,3,4,8,1,2,5,12]=>[8,1,11,3,2,10,6,4,9,7,5,12]
[[1,4,5,12],[2,7,8],[3,10,11],[6],[9]]=>[9,6,3,10,11,2,7,8,1,4,5,12]=>[8,11,6,1,4,9,2,7,3,10,5,12]
[[1,3,8,12],[2,5,11],[4,7],[6,10],[9]]=>[9,6,10,4,7,2,5,11,1,3,8,12]=>[11,7,1,10,2,9,4,3,6,5,8,12]
[[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]=>[10,7,11,4,8,12,2,5,9,1,3,6]=>[9,12,1,11,2,3,10,4,5,7,8,6]
[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>[10,7,5,11,3,8,2,6,12,1,4,9]=>[12,8,11,1,7,2,10,3,4,5,6,9]
[[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]]=>[9,5,10,11,2,6,7,12,1,3,4,8,13]=>[12,11,1,3,9,2,6,4,5,10,7,8,13]
[[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]]=>[9,10,5,6,3,4,11,12,1,2,7,8,13]=>[12,1,6,3,10,5,2,7,9,4,11,8,13]
[[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]]=>[9,5,3,10,2,6,11,12,1,4,7,8,13]=>[12,10,5,1,9,2,4,7,3,6,11,8,13]
[[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]]=>[9,10,6,7,11,3,4,8,1,2,5,12,13]=>[8,1,11,3,2,10,6,4,9,7,5,12,13]
[[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]]=>[9,6,3,10,11,2,7,8,1,4,5,12,13]=>[8,11,6,1,4,9,2,7,3,10,5,12,13]
[[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]]=>[9,6,10,4,7,2,5,11,1,3,8,12,13]=>[11,7,1,10,2,9,4,3,6,5,8,12,13]
[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>[10,11,6,7,12,3,4,8,13,1,2,5,9]=>[13,1,12,3,2,11,6,4,5,10,7,8,9]
[[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]]=>[10,6,3,11,12,2,7,8,13,1,4,5,9]=>[13,12,6,1,4,10,2,7,5,3,11,8,9]
[[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]]=>[10,6,11,4,7,2,5,12,13,1,3,8,9]=>[13,7,1,11,2,10,4,3,8,6,5,12,9]
[[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]]=>[10,7,11,4,8,12,2,5,9,1,3,6,13]=>[9,12,1,11,2,3,10,4,5,7,8,6,13]
[[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]]=>[10,11,6,7,12,3,4,8,13,1,2,5,9,14]=>[13,1,12,3,2,11,6,4,5,10,7,8,9,14]
[[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]]=>[10,6,3,11,12,2,7,8,13,1,4,5,9,14]=>[13,12,6,1,4,10,2,7,5,3,11,8,9,14]
[[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]]=>[10,6,11,4,7,2,5,12,13,1,3,8,9,14]=>[13,7,1,11,2,10,4,3,8,6,5,12,9,14]
[[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]]=>[10,7,11,4,8,12,2,5,9,1,3,6,13,14]=>[9,12,1,11,2,3,10,4,5,7,8,6,13,14]
[[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]]=>[11,7,12,4,8,13,2,5,9,14,1,3,6,10]=>[14,13,1,12,2,3,11,4,5,6,7,8,9,10]
[[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]]=>[11,7,12,4,8,13,2,5,9,14,1,3,6,10,15]=>[14,13,1,12,2,3,11,4,5,6,7,8,9,10,15]
[[1,8],[2,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,9,1,8]=>[9,3,4,5,6,7,2,1,8]
[[1,7],[2,8],[3,9],[4],[5],[6]]=>[6,5,4,3,9,2,8,1,7]=>[8,9,4,5,6,3,1,2,7]
[[1,7,9],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7,9]=>[8,3,4,5,6,2,1,7,9]
[[1,6],[2,7],[3,8],[4,9],[5]]=>[5,4,9,3,8,2,7,1,6]=>[7,8,9,5,4,1,2,3,6]
[[1,6,9],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6,9]=>[7,8,4,5,3,1,2,6,9]
[[1,6,8],[2,7,9],[3],[4],[5]]=>[5,4,3,2,7,9,1,6,8]=>[9,3,4,5,2,1,7,6,8]
[[1,6,8,9],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8,9]=>[7,3,4,5,2,1,6,8,9]
[[1,5,9],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5,9]=>[6,7,8,4,1,2,3,5,9]
[[1,5,8],[2,6,9],[3,7],[4]]=>[4,3,7,2,6,9,1,5,8]=>[9,7,4,3,1,2,6,5,8]
[[1,5,8,9],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8,9]=>[6,7,4,3,1,2,5,8,9]
[[1,5,7,9],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7,9]=>[8,3,4,2,1,6,5,7,9]
[[1,5,7,8,9],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8,9]=>[6,3,4,2,1,5,7,8,9]
[[1,4,7],[2,5,8],[3,6,9]]=>[3,6,9,2,5,8,1,4,7]=>[8,9,3,1,2,6,4,5,7]
[[1,4,7,9],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7,9]=>[8,6,3,1,2,5,4,7,9]
[[1,4,7,8,9],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8,9]=>[5,6,3,1,2,4,7,8,9]
[[1,4,6,8],[2,5,7,9],[3]]=>[3,2,5,7,9,1,4,6,8]=>[9,3,2,1,5,4,7,6,8]
[[1,4,6,8,9],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8,9]=>[7,3,2,1,5,4,6,8,9]
[[1,4,6,7,8,9],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9]=>[5,3,2,1,4,6,7,8,9]
[[1,3,5,7,9],[2,4,6,8]]=>[2,4,6,8,1,3,5,7,9]=>[8,2,1,4,3,6,5,7,9]
[[1,3,5,7,8,9],[2,4,6]]=>[2,4,6,1,3,5,7,8,9]=>[6,2,1,4,3,5,7,8,9]
[[1,3,5,6,7,8,9],[2,4]]=>[2,4,1,3,5,6,7,8,9]=>[4,2,1,3,5,6,7,8,9]
[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,10,1,9]=>[10,3,4,5,6,7,8,2,1,9]
[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>[7,6,5,4,3,10,2,9,1,8]=>[9,10,4,5,6,7,3,1,2,8]
[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,9,1,8,10]=>[9,3,4,5,6,7,2,1,8,10]
[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>[6,5,4,10,3,9,2,8,1,7]=>[8,9,10,5,6,4,1,2,3,7]
[[1,7,10],[2,8],[3,9],[4],[5],[6]]=>[6,5,4,3,9,2,8,1,7,10]=>[8,9,4,5,6,3,1,2,7,10]
[[1,7,9],[2,8,10],[3],[4],[5],[6]]=>[6,5,4,3,2,8,10,1,7,9]=>[10,3,4,5,6,2,1,8,7,9]
[[1,7,9,10],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7,9,10]=>[8,3,4,5,6,2,1,7,9,10]
[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,10,4,9,3,8,2,7,1,6]=>[7,8,9,10,5,1,2,3,4,6]
[[1,6,10],[2,7],[3,8],[4,9],[5]]=>[5,4,9,3,8,2,7,1,6,10]=>[7,8,9,5,4,1,2,3,6,10]
[[1,6,9],[2,7,10],[3,8],[4],[5]]=>[5,4,3,8,2,7,10,1,6,9]=>[10,8,4,5,3,1,2,7,6,9]
[[1,6,9,10],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6,9,10]=>[7,8,4,5,3,1,2,6,9,10]
[[1,6,8,10],[2,7,9],[3],[4],[5]]=>[5,4,3,2,7,9,1,6,8,10]=>[9,3,4,5,2,1,7,6,8,10]
[[1,6,8,9,10],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8,9,10]=>[7,3,4,5,2,1,6,8,9,10]
[[1,5,9],[2,6,10],[3,7],[4,8]]=>[4,8,3,7,2,6,10,1,5,9]=>[10,7,8,4,1,2,3,6,5,9]
[[1,5,9,10],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5,9,10]=>[6,7,8,4,1,2,3,5,9,10]
[[1,5,8],[2,6,9],[3,7,10],[4]]=>[4,3,7,10,2,6,9,1,5,8]=>[9,10,4,3,1,2,7,5,6,8]
[[1,5,8,10],[2,6,9],[3,7],[4]]=>[4,3,7,2,6,9,1,5,8,10]=>[9,7,4,3,1,2,6,5,8,10]
[[1,5,8,9,10],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8,9,10]=>[6,7,4,3,1,2,5,8,9,10]
[[1,5,7,9],[2,6,8,10],[3],[4]]=>[4,3,2,6,8,10,1,5,7,9]=>[10,3,4,2,1,6,5,8,7,9]
[[1,5,7,9,10],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7,9,10]=>[8,3,4,2,1,6,5,7,9,10]
[[1,5,7,8,9,10],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8,9,10]=>[6,3,4,2,1,5,7,8,9,10]
[[1,4,7,10],[2,5,8],[3,6,9]]=>[3,6,9,2,5,8,1,4,7,10]=>[8,9,3,1,2,6,4,5,7,10]
[[1,4,7,9],[2,5,8,10],[3,6]]=>[3,6,2,5,8,10,1,4,7,9]=>[10,6,3,1,2,5,4,8,7,9]
[[1,4,7,9,10],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7,9,10]=>[8,6,3,1,2,5,4,7,9,10]
[[1,4,7,8,9,10],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8,9,10]=>[5,6,3,1,2,4,7,8,9,10]
[[1,4,6,8,10],[2,5,7,9],[3]]=>[3,2,5,7,9,1,4,6,8,10]=>[9,3,2,1,5,4,7,6,8,10]
[[1,4,6,8,9,10],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8,9,10]=>[7,3,2,1,5,4,6,8,9,10]
[[1,4,6,7,8,9,10],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9,10]=>[5,3,2,1,4,6,7,8,9,10]
[[1,3,5,7,9,10],[2,4,6,8]]=>[2,4,6,8,1,3,5,7,9,10]=>[8,2,1,4,3,6,5,7,9,10]
[[1,3,5,7,8,9,10],[2,4,6]]=>[2,4,6,1,3,5,7,8,9,10]=>[6,2,1,4,3,5,7,8,9,10]
[[1,3,5,6,7,8,9,10],[2,4]]=>[2,4,1,3,5,6,7,8,9,10]=>[4,2,1,3,5,6,7,8,9,10]
[[1,3],[2,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,2,4,1,3]=>[4,5,1,2,6,7,8,9,3]
[[1,4],[2,5],[3,6],[7],[8],[9]]=>[9,8,7,3,6,2,5,1,4]=>[5,6,7,1,2,3,8,9,4]
[[1,2,4],[3,5],[6],[7],[8],[9]]=>[9,8,7,6,3,5,1,2,4]=>[5,1,6,2,3,7,8,9,4]
[[1,5],[2,6],[3,7],[4,8],[9]]=>[9,4,8,3,7,2,6,1,5]=>[6,7,8,9,1,2,3,4,5]
[[1,2,5],[3,6],[4,7],[8],[9]]=>[9,8,4,7,3,6,1,2,5]=>[6,1,7,8,2,3,4,9,5]
[[1,3,5],[2,4,6],[7],[8],[9]]=>[9,8,7,2,4,6,1,3,5]=>[6,7,1,2,3,4,8,9,5]
[[1,2,3,5],[4,6],[7],[8],[9]]=>[9,8,7,4,6,1,2,3,5]=>[6,1,2,7,3,4,8,9,5]
[[1,2,6],[3,7],[4,8],[5,9]]=>[5,9,4,8,3,7,1,2,6]=>[7,1,8,9,5,2,3,4,6]
[[1,3,6],[2,4,7],[5,8],[9]]=>[9,5,8,2,4,7,1,3,6]=>[7,8,1,2,9,3,4,5,6]
[[1,2,3,6],[4,7],[5,8],[9]]=>[9,5,8,4,7,1,2,3,6]=>[7,1,2,8,9,3,4,5,6]
[[1,2,4,6],[3,5,7],[8],[9]]=>[9,8,3,5,7,1,2,4,6]=>[7,1,8,2,3,4,5,9,6]
[[1,2,3,4,6],[5,7],[8],[9]]=>[9,8,5,7,1,2,3,4,6]=>[7,1,2,3,8,4,5,9,6]
[[1,2,4,7],[3,5,8],[6,9]]=>[6,9,3,5,8,1,2,4,7]=>[8,1,9,2,3,6,4,5,7]
[[1,2,3,4,7],[5,8],[6,9]]=>[6,9,5,8,1,2,3,4,7]=>[8,1,2,3,9,6,4,5,7]
[[1,3,5,7],[2,4,6,8],[9]]=>[9,2,4,6,8,1,3,5,7]=>[8,9,1,2,3,4,5,6,7]
[[1,2,3,5,7],[4,6,8],[9]]=>[9,4,6,8,1,2,3,5,7]=>[8,1,2,9,3,4,5,6,7]
[[1,2,3,4,5,7],[6,8],[9]]=>[9,6,8,1,2,3,4,5,7]=>[8,1,2,3,4,9,5,6,7]
[[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>[9,1,3,2,5,4,7,6,8]
[[1,2,3,4,6,8],[5,7,9]]=>[5,7,9,1,2,3,4,6,8]=>[9,1,2,3,5,4,7,6,8]
[[1,2,3,4,5,6,8],[7,9]]=>[7,9,1,2,3,4,5,6,8]=>[9,1,2,3,4,5,7,6,8]
[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,2,4,1,3]=>[4,5,1,2,6,7,8,9,10,3]
[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>[10,9,8,7,3,6,2,5,1,4]=>[5,6,7,1,2,3,8,9,10,4]
[[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,3,5,1,2,4]=>[5,1,6,2,3,7,8,9,10,4]
[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>[10,9,4,8,3,7,2,6,1,5]=>[6,7,8,9,1,2,3,4,10,5]
[[1,2,5],[3,6],[4,7],[8],[9],[10]]=>[10,9,8,4,7,3,6,1,2,5]=>[6,1,7,8,2,3,4,9,10,5]
[[1,3,5],[2,4,6],[7],[8],[9],[10]]=>[10,9,8,7,2,4,6,1,3,5]=>[6,7,1,2,3,4,8,9,10,5]
[[1,2,3,5],[4,6],[7],[8],[9],[10]]=>[10,9,8,7,4,6,1,2,3,5]=>[6,1,2,7,3,4,8,9,10,5]
[[1,2,6],[3,7],[4,8],[5,9],[10]]=>[10,5,9,4,8,3,7,1,2,6]=>[7,1,8,9,10,2,3,4,5,6]
[[1,3,6],[2,4,7],[5,8],[9],[10]]=>[10,9,5,8,2,4,7,1,3,6]=>[7,8,1,2,9,3,4,5,10,6]
[[1,2,3,6],[4,7],[5,8],[9],[10]]=>[10,9,5,8,4,7,1,2,3,6]=>[7,1,2,8,9,3,4,5,10,6]
[[1,2,4,6],[3,5,7],[8],[9],[10]]=>[10,9,8,3,5,7,1,2,4,6]=>[7,1,8,2,3,4,5,9,10,6]
[[1,2,3,4,6],[5,7],[8],[9],[10]]=>[10,9,8,5,7,1,2,3,4,6]=>[7,1,2,3,8,4,5,9,10,6]
[[1,3,7],[2,4,8],[5,9],[6,10]]=>[6,10,5,9,2,4,8,1,3,7]=>[8,9,1,2,10,6,3,4,5,7]
[[1,2,3,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,1,2,3,7]=>[8,1,2,9,10,6,3,4,5,7]
[[1,4,7],[2,5,8],[3,6,9],[10]]=>[10,3,6,9,2,5,8,1,4,7]=>[8,9,10,1,2,3,4,5,6,7]
[[1,2,4,7],[3,5,8],[6,9],[10]]=>[10,6,9,3,5,8,1,2,4,7]=>[8,1,9,2,3,10,4,5,6,7]
[[1,2,3,4,7],[5,8],[6,9],[10]]=>[10,6,9,5,8,1,2,3,4,7]=>[8,1,2,3,9,10,4,5,6,7]
[[1,3,5,7],[2,4,6,8],[9],[10]]=>[10,9,2,4,6,8,1,3,5,7]=>[8,9,1,2,3,4,5,6,10,7]
[[1,2,3,5,7],[4,6,8],[9],[10]]=>[10,9,4,6,8,1,2,3,5,7]=>[8,1,2,9,3,4,5,6,10,7]
[[1,2,3,4,5,7],[6,8],[9],[10]]=>[10,9,6,8,1,2,3,4,5,7]=>[8,1,2,3,4,9,5,6,10,7]
[[1,2,5,8],[3,6,9],[4,7,10]]=>[4,7,10,3,6,9,1,2,5,8]=>[9,1,10,4,2,3,7,5,6,8]
[[1,3,5,8],[2,4,6,9],[7,10]]=>[7,10,2,4,6,9,1,3,5,8]=>[9,10,1,2,3,4,7,5,6,8]
[[1,2,3,5,8],[4,6,9],[7,10]]=>[7,10,4,6,9,1,2,3,5,8]=>[9,1,2,10,3,4,7,5,6,8]
[[1,2,3,4,5,8],[6,9],[7,10]]=>[7,10,6,9,1,2,3,4,5,8]=>[9,1,2,3,4,10,7,5,6,8]
[[1,2,4,6,8],[3,5,7,9],[10]]=>[10,3,5,7,9,1,2,4,6,8]=>[9,1,10,2,3,4,5,6,7,8]
[[1,2,3,4,6,8],[5,7,9],[10]]=>[10,5,7,9,1,2,3,4,6,8]=>[9,1,2,3,10,4,5,6,7,8]
[[1,2,3,4,5,6,8],[7,9],[10]]=>[10,7,9,1,2,3,4,5,6,8]=>[9,1,2,3,4,5,10,6,7,8]
[[1,2,3,5,7,9],[4,6,8,10]]=>[4,6,8,10,1,2,3,5,7,9]=>[10,1,2,4,3,6,5,8,7,9]
[[1,2,3,4,5,7,9],[6,8,10]]=>[6,8,10,1,2,3,4,5,7,9]=>[10,1,2,3,4,6,5,8,7,9]
[[1,2,3,4,5,6,7,9],[8,10]]=>[8,10,1,2,3,4,5,6,7,9]=>[10,1,2,3,4,5,6,8,7,9]
[[1,2],[3,4],[5,6],[7,9],[8,10]]=>[8,10,7,9,5,6,3,4,1,2]=>[4,1,6,3,9,5,10,8,7,2]
[[1,2],[3,4],[5,7],[6,8],[9,10]]=>[9,10,6,8,5,7,3,4,1,2]=>[4,1,7,3,8,10,5,6,9,2]
[[1,2],[3,4],[5,7],[6,9],[8,10]]=>[8,10,6,9,5,7,3,4,1,2]=>[4,1,7,3,9,10,5,8,6,2]
[[1,2],[3,4],[5,8],[6,9],[7,10]]=>[7,10,6,9,5,8,3,4,1,2]=>[4,1,8,3,9,10,7,5,6,2]
[[1,2],[3,5],[4,6],[7,8],[9,10]]=>[9,10,7,8,4,6,3,5,1,2]=>[5,1,6,8,3,4,10,7,9,2]
[[1,2],[3,5],[4,6],[7,9],[8,10]]=>[8,10,7,9,4,6,3,5,1,2]=>[5,1,6,9,3,4,10,8,7,2]
[[1,2],[3,5],[4,7],[6,8],[9,10]]=>[9,10,6,8,4,7,3,5,1,2]=>[5,1,7,8,3,10,4,6,9,2]
[[1,2],[3,5],[4,7],[6,9],[8,10]]=>[8,10,6,9,4,7,3,5,1,2]=>[5,1,7,9,3,10,4,8,6,2]
[[1,2],[3,5],[4,8],[6,9],[7,10]]=>[7,10,6,9,4,8,3,5,1,2]=>[5,1,8,9,3,10,7,4,6,2]
[[1,2],[3,6],[4,7],[5,8],[9,10]]=>[9,10,5,8,4,7,3,6,1,2]=>[6,1,7,8,10,3,4,5,9,2]
[[1,2],[3,6],[4,7],[5,9],[8,10]]=>[8,10,5,9,4,7,3,6,1,2]=>[6,1,7,9,10,3,4,8,5,2]
[[1,2],[3,6],[4,8],[5,9],[7,10]]=>[7,10,5,9,4,8,3,6,1,2]=>[6,1,8,9,10,3,7,4,5,2]
[[1,2],[3,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,3,7,1,2]=>[7,1,8,9,10,6,3,4,5,2]
[[1,3],[2,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,2,4,1,3]=>[4,6,1,2,8,5,10,7,9,3]
[[1,3],[2,4],[5,6],[7,9],[8,10]]=>[8,10,7,9,5,6,2,4,1,3]=>[4,6,1,2,9,5,10,8,7,3]
[[1,3],[2,4],[5,7],[6,8],[9,10]]=>[9,10,6,8,5,7,2,4,1,3]=>[4,7,1,2,8,10,5,6,9,3]
[[1,3],[2,4],[5,7],[6,9],[8,10]]=>[8,10,6,9,5,7,2,4,1,3]=>[4,7,1,2,9,10,5,8,6,3]
[[1,3],[2,4],[5,8],[6,9],[7,10]]=>[7,10,6,9,5,8,2,4,1,3]=>[4,8,1,2,9,10,7,5,6,3]
[[1,3],[2,5],[4,6],[7,8],[9,10]]=>[9,10,7,8,4,6,2,5,1,3]=>[5,6,1,8,2,4,10,7,9,3]
[[1,3],[2,5],[4,6],[7,9],[8,10]]=>[8,10,7,9,4,6,2,5,1,3]=>[5,6,1,9,2,4,10,8,7,3]
[[1,3],[2,5],[4,7],[6,8],[9,10]]=>[9,10,6,8,4,7,2,5,1,3]=>[5,7,1,8,2,10,4,6,9,3]
[[1,3],[2,5],[4,7],[6,9],[8,10]]=>[8,10,6,9,4,7,2,5,1,3]=>[5,7,1,9,2,10,4,8,6,3]
[[1,3],[2,5],[4,8],[6,9],[7,10]]=>[7,10,6,9,4,8,2,5,1,3]=>[5,8,1,9,2,10,7,4,6,3]
[[1,3],[2,6],[4,7],[5,8],[9,10]]=>[9,10,5,8,4,7,2,6,1,3]=>[6,7,1,8,10,2,4,5,9,3]
[[1,3],[2,6],[4,7],[5,9],[8,10]]=>[8,10,5,9,4,7,2,6,1,3]=>[6,7,1,9,10,2,4,8,5,3]
[[1,3],[2,6],[4,8],[5,9],[7,10]]=>[7,10,5,9,4,8,2,6,1,3]=>[6,8,1,9,10,2,7,4,5,3]
[[1,3],[2,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,2,7,1,3]=>[7,8,1,9,10,6,2,4,5,3]
[[1,4],[2,5],[3,6],[7,8],[9,10]]=>[9,10,7,8,3,6,2,5,1,4]=>[5,6,8,1,2,3,10,7,9,4]
[[1,4],[2,5],[3,6],[7,9],[8,10]]=>[8,10,7,9,3,6,2,5,1,4]=>[5,6,9,1,2,3,10,8,7,4]
[[1,4],[2,5],[3,7],[6,8],[9,10]]=>[9,10,6,8,3,7,2,5,1,4]=>[5,7,8,1,2,10,3,6,9,4]
[[1,4],[2,5],[3,7],[6,9],[8,10]]=>[8,10,6,9,3,7,2,5,1,4]=>[5,7,9,1,2,10,3,8,6,4]
[[1,4],[2,5],[3,8],[6,9],[7,10]]=>[7,10,6,9,3,8,2,5,1,4]=>[5,8,9,1,2,10,7,3,6,4]
[[1,4],[2,6],[3,7],[5,8],[9,10]]=>[9,10,5,8,3,7,2,6,1,4]=>[6,7,8,1,10,2,3,5,9,4]
[[1,4],[2,6],[3,7],[5,9],[8,10]]=>[8,10,5,9,3,7,2,6,1,4]=>[6,7,9,1,10,2,3,8,5,4]
[[1,4],[2,6],[3,8],[5,9],[7,10]]=>[7,10,5,9,3,8,2,6,1,4]=>[6,8,9,1,10,2,7,3,5,4]
[[1,4],[2,7],[3,8],[5,9],[6,10]]=>[6,10,5,9,3,8,2,7,1,4]=>[7,8,9,1,10,6,2,3,5,4]
[[1,5],[2,6],[3,7],[4,8],[9,10]]=>[9,10,4,8,3,7,2,6,1,5]=>[6,7,8,10,1,2,3,4,9,5]
[[1,5],[2,6],[3,7],[4,9],[8,10]]=>[8,10,4,9,3,7,2,6,1,5]=>[6,7,9,10,1,2,3,8,4,5]
[[1,5],[2,6],[3,8],[4,9],[7,10]]=>[7,10,4,9,3,8,2,6,1,5]=>[6,8,9,10,1,2,7,3,4,5]
[[1,5],[2,7],[3,8],[4,9],[6,10]]=>[6,10,4,9,3,8,2,7,1,5]=>[7,8,9,10,1,6,2,3,4,5]
[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,11,7,12,10,9,2]
[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,5,6,3,4,1,2]=>[4,1,6,3,9,5,10,12,7,8,11,2]
[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,5,6,3,4,1,2]=>[4,1,6,3,9,5,11,12,7,10,8,2]
[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,5,6,3,4,1,2]=>[4,1,6,3,10,5,11,12,9,7,8,2]
[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,5,7,3,4,1,2]=>[4,1,7,3,8,10,5,6,12,9,11,2]
[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,5,7,3,4,1,2]=>[4,1,7,3,8,11,5,6,12,10,9,2]
[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,5,7,3,4,1,2]=>[4,1,7,3,9,10,5,12,6,8,11,2]
[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,5,7,3,4,1,2]=>[4,1,7,3,9,11,5,12,6,10,8,2]
[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,5,7,3,4,1,2]=>[4,1,7,3,10,11,5,12,9,6,8,2]
[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,5,8,3,4,1,2]=>[4,1,8,3,9,10,12,5,6,7,11,2]
[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,5,8,3,4,1,2]=>[4,1,8,3,9,11,12,5,6,10,7,2]
[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,5,8,3,4,1,2]=>[4,1,8,3,10,11,12,5,9,6,7,2]
[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,5,9,3,4,1,2]=>[4,1,9,3,10,11,12,8,5,6,7,2]
[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,4,6,3,5,1,2]=>[5,1,6,8,3,4,10,7,12,9,11,2]
[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,4,6,3,5,1,2]=>[5,1,6,8,3,4,11,7,12,10,9,2]
[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,4,6,3,5,1,2]=>[5,1,6,9,3,4,10,12,7,8,11,2]
[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,4,6,3,5,1,2]=>[5,1,6,9,3,4,11,12,7,10,8,2]
[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,4,6,3,5,1,2]=>[5,1,6,10,3,4,11,12,9,7,8,2]
[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,4,7,3,5,1,2]=>[5,1,7,8,3,10,4,6,12,9,11,2]
[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,4,7,3,5,1,2]=>[5,1,7,8,3,11,4,6,12,10,9,2]
[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,4,7,3,5,1,2]=>[5,1,7,9,3,10,4,12,6,8,11,2]
[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,4,7,3,5,1,2]=>[5,1,7,9,3,11,4,12,6,10,8,2]
[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,4,7,3,5,1,2]=>[5,1,7,10,3,11,4,12,9,6,8,2]
[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,4,8,3,5,1,2]=>[5,1,8,9,3,10,12,4,6,7,11,2]
[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,4,8,3,5,1,2]=>[5,1,8,9,3,11,12,4,6,10,7,2]
[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,4,8,3,5,1,2]=>[5,1,8,10,3,11,12,4,9,6,7,2]
[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,4,9,3,5,1,2]=>[5,1,9,10,3,11,12,8,4,6,7,2]
[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>[11,12,9,10,5,8,4,7,3,6,1,2]=>[6,1,7,8,10,3,4,5,12,9,11,2]
[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>[10,12,9,11,5,8,4,7,3,6,1,2]=>[6,1,7,8,11,3,4,5,12,10,9,2]
[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>[11,12,8,10,5,9,4,7,3,6,1,2]=>[6,1,7,9,10,3,4,12,5,8,11,2]
[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>[10,12,8,11,5,9,4,7,3,6,1,2]=>[6,1,7,9,11,3,4,12,5,10,8,2]
[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>[9,12,8,11,5,10,4,7,3,6,1,2]=>[6,1,7,10,11,3,4,12,9,5,8,2]
[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>[11,12,7,10,5,9,4,8,3,6,1,2]=>[6,1,8,9,10,3,12,4,5,7,11,2]
[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>[10,12,7,11,5,9,4,8,3,6,1,2]=>[6,1,8,9,11,3,12,4,5,10,7,2]
[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>[9,12,7,11,5,10,4,8,3,6,1,2]=>[6,1,8,10,11,3,12,4,9,5,7,2]
[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>[8,12,7,11,5,10,4,9,3,6,1,2]=>[6,1,9,10,11,3,12,8,4,5,7,2]
[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>[11,12,6,10,5,9,4,8,3,7,1,2]=>[7,1,8,9,10,12,3,4,5,6,11,2]
[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>[10,12,6,11,5,9,4,8,3,7,1,2]=>[7,1,8,9,11,12,3,4,5,10,6,2]
[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>[9,12,6,11,5,10,4,8,3,7,1,2]=>[7,1,8,10,11,12,3,4,9,5,6,2]
[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>[8,12,6,11,5,10,4,9,3,7,1,2]=>[7,1,9,10,11,12,3,8,4,5,6,2]
[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>[7,12,6,11,5,10,4,9,3,8,1,2]=>[8,1,9,10,11,12,7,3,4,5,6,2]
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,5,6,2,4,1,3]=>[4,6,1,2,8,5,10,7,12,9,11,3]
[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,5,6,2,4,1,3]=>[4,6,1,2,8,5,11,7,12,10,9,3]
[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,5,6,2,4,1,3]=>[4,6,1,2,9,5,10,12,7,8,11,3]
[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,5,6,2,4,1,3]=>[4,6,1,2,9,5,11,12,7,10,8,3]
[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,5,6,2,4,1,3]=>[4,6,1,2,10,5,11,12,9,7,8,3]
[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,5,7,2,4,1,3]=>[4,7,1,2,8,10,5,6,12,9,11,3]
[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,5,7,2,4,1,3]=>[4,7,1,2,8,11,5,6,12,10,9,3]
[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,5,7,2,4,1,3]=>[4,7,1,2,9,10,5,12,6,8,11,3]
[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,5,7,2,4,1,3]=>[4,7,1,2,9,11,5,12,6,10,8,3]
[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,5,7,2,4,1,3]=>[4,7,1,2,10,11,5,12,9,6,8,3]
[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,5,8,2,4,1,3]=>[4,8,1,2,9,10,12,5,6,7,11,3]
[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,5,8,2,4,1,3]=>[4,8,1,2,9,11,12,5,6,10,7,3]
[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,5,8,2,4,1,3]=>[4,8,1,2,10,11,12,5,9,6,7,3]
[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,5,9,2,4,1,3]=>[4,9,1,2,10,11,12,8,5,6,7,3]
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,4,6,2,5,1,3]=>[5,6,1,8,2,4,10,7,12,9,11,3]
[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,4,6,2,5,1,3]=>[5,6,1,8,2,4,11,7,12,10,9,3]
[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,4,6,2,5,1,3]=>[5,6,1,9,2,4,10,12,7,8,11,3]
[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,4,6,2,5,1,3]=>[5,6,1,9,2,4,11,12,7,10,8,3]
[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,4,6,2,5,1,3]=>[5,6,1,10,2,4,11,12,9,7,8,3]
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,4,7,2,5,1,3]=>[5,7,1,8,2,10,4,6,12,9,11,3]
[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,4,7,2,5,1,3]=>[5,7,1,8,2,11,4,6,12,10,9,3]
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,4,7,2,5,1,3]=>[5,7,1,9,2,10,4,12,6,8,11,3]
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,4,7,2,5,1,3]=>[5,7,1,9,2,11,4,12,6,10,8,3]
[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,4,7,2,5,1,3]=>[5,7,1,10,2,11,4,12,9,6,8,3]
[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,4,8,2,5,1,3]=>[5,8,1,9,2,10,12,4,6,7,11,3]
[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,4,8,2,5,1,3]=>[5,8,1,9,2,11,12,4,6,10,7,3]
[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,4,8,2,5,1,3]=>[5,8,1,10,2,11,12,4,9,6,7,3]
[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,4,9,2,5,1,3]=>[5,9,1,10,2,11,12,8,4,6,7,3]
[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>[11,12,9,10,5,8,4,7,2,6,1,3]=>[6,7,1,8,10,2,4,5,12,9,11,3]
[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>[10,12,9,11,5,8,4,7,2,6,1,3]=>[6,7,1,8,11,2,4,5,12,10,9,3]
[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>[11,12,8,10,5,9,4,7,2,6,1,3]=>[6,7,1,9,10,2,4,12,5,8,11,3]
[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>[10,12,8,11,5,9,4,7,2,6,1,3]=>[6,7,1,9,11,2,4,12,5,10,8,3]
[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>[9,12,8,11,5,10,4,7,2,6,1,3]=>[6,7,1,10,11,2,4,12,9,5,8,3]
[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>[11,12,7,10,5,9,4,8,2,6,1,3]=>[6,8,1,9,10,2,12,4,5,7,11,3]
[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>[10,12,7,11,5,9,4,8,2,6,1,3]=>[6,8,1,9,11,2,12,4,5,10,7,3]
[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>[9,12,7,11,5,10,4,8,2,6,1,3]=>[6,8,1,10,11,2,12,4,9,5,7,3]
[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>[8,12,7,11,5,10,4,9,2,6,1,3]=>[6,9,1,10,11,2,12,8,4,5,7,3]
[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>[11,12,6,10,5,9,4,8,2,7,1,3]=>[7,8,1,9,10,12,2,4,5,6,11,3]
[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>[10,12,6,11,5,9,4,8,2,7,1,3]=>[7,8,1,9,11,12,2,4,5,10,6,3]
[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>[9,12,6,11,5,10,4,8,2,7,1,3]=>[7,8,1,10,11,12,2,4,9,5,6,3]
[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>[8,12,6,11,5,10,4,9,2,7,1,3]=>[7,9,1,10,11,12,2,8,4,5,6,3]
[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>[7,12,6,11,5,10,4,9,2,8,1,3]=>[8,9,1,10,11,12,7,2,4,5,6,3]
[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,3,6,2,5,1,4]=>[5,6,8,1,2,3,10,7,12,9,11,4]
[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,3,6,2,5,1,4]=>[5,6,8,1,2,3,11,7,12,10,9,4]
[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,3,6,2,5,1,4]=>[5,6,9,1,2,3,10,12,7,8,11,4]
[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,3,6,2,5,1,4]=>[5,6,9,1,2,3,11,12,7,10,8,4]
[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,3,6,2,5,1,4]=>[5,6,10,1,2,3,11,12,9,7,8,4]
[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,3,7,2,5,1,4]=>[5,7,8,1,2,10,3,6,12,9,11,4]
[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,3,7,2,5,1,4]=>[5,7,8,1,2,11,3,6,12,10,9,4]
[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,3,7,2,5,1,4]=>[5,7,9,1,2,10,3,12,6,8,11,4]
[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,3,7,2,5,1,4]=>[5,7,9,1,2,11,3,12,6,10,8,4]
[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,3,7,2,5,1,4]=>[5,7,10,1,2,11,3,12,9,6,8,4]
[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,3,8,2,5,1,4]=>[5,8,9,1,2,10,12,3,6,7,11,4]
[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,3,8,2,5,1,4]=>[5,8,9,1,2,11,12,3,6,10,7,4]
[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,3,8,2,5,1,4]=>[5,8,10,1,2,11,12,3,9,6,7,4]
[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,3,9,2,5,1,4]=>[5,9,10,1,2,11,12,8,3,6,7,4]
[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>[11,12,9,10,5,8,3,7,2,6,1,4]=>[6,7,8,1,10,2,3,5,12,9,11,4]
[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>[10,12,9,11,5,8,3,7,2,6,1,4]=>[6,7,8,1,11,2,3,5,12,10,9,4]
[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>[11,12,8,10,5,9,3,7,2,6,1,4]=>[6,7,9,1,10,2,3,12,5,8,11,4]
[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>[10,12,8,11,5,9,3,7,2,6,1,4]=>[6,7,9,1,11,2,3,12,5,10,8,4]
[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>[9,12,8,11,5,10,3,7,2,6,1,4]=>[6,7,10,1,11,2,3,12,9,5,8,4]
[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>[11,12,7,10,5,9,3,8,2,6,1,4]=>[6,8,9,1,10,2,12,3,5,7,11,4]
[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>[10,12,7,11,5,9,3,8,2,6,1,4]=>[6,8,9,1,11,2,12,3,5,10,7,4]
[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>[9,12,7,11,5,10,3,8,2,6,1,4]=>[6,8,10,1,11,2,12,3,9,5,7,4]
[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>[8,12,7,11,5,10,3,9,2,6,1,4]=>[6,9,10,1,11,2,12,8,3,5,7,4]
[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>[11,12,6,10,5,9,3,8,2,7,1,4]=>[7,8,9,1,10,12,2,3,5,6,11,4]
[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>[10,12,6,11,5,9,3,8,2,7,1,4]=>[7,8,9,1,11,12,2,3,5,10,6,4]
[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>[9,12,6,11,5,10,3,8,2,7,1,4]=>[7,8,10,1,11,12,2,3,9,5,6,4]
[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>[8,12,6,11,5,10,3,9,2,7,1,4]=>[7,9,10,1,11,12,2,8,3,5,6,4]
[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>[7,12,6,11,5,10,3,9,2,8,1,4]=>[8,9,10,1,11,12,7,2,3,5,6,4]
[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>[11,12,9,10,4,8,3,7,2,6,1,5]=>[6,7,8,10,1,2,3,4,12,9,11,5]
[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>[10,12,9,11,4,8,3,7,2,6,1,5]=>[6,7,8,11,1,2,3,4,12,10,9,5]
[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>[11,12,8,10,4,9,3,7,2,6,1,5]=>[6,7,9,10,1,2,3,12,4,8,11,5]
[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>[10,12,8,11,4,9,3,7,2,6,1,5]=>[6,7,9,11,1,2,3,12,4,10,8,5]
[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>[9,12,8,11,4,10,3,7,2,6,1,5]=>[6,7,10,11,1,2,3,12,9,4,8,5]
[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>[11,12,7,10,4,9,3,8,2,6,1,5]=>[6,8,9,10,1,2,12,3,4,7,11,5]
[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>[10,12,7,11,4,9,3,8,2,6,1,5]=>[6,8,9,11,1,2,12,3,4,10,7,5]
[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>[9,12,7,11,4,10,3,8,2,6,1,5]=>[6,8,10,11,1,2,12,3,9,4,7,5]
[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>[8,12,7,11,4,10,3,9,2,6,1,5]=>[6,9,10,11,1,2,12,8,3,4,7,5]
[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>[11,12,6,10,4,9,3,8,2,7,1,5]=>[7,8,9,10,1,12,2,3,4,6,11,5]
[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>[10,12,6,11,4,9,3,8,2,7,1,5]=>[7,8,9,11,1,12,2,3,4,10,6,5]
[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>[9,12,6,11,4,10,3,8,2,7,1,5]=>[7,8,10,11,1,12,2,3,9,4,6,5]
[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>[8,12,6,11,4,10,3,9,2,7,1,5]=>[7,9,10,11,1,12,2,8,3,4,6,5]
[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>[7,12,6,11,4,10,3,9,2,8,1,5]=>[8,9,10,11,1,12,7,2,3,4,6,5]
[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>[11,12,5,10,4,9,3,8,2,7,1,6]=>[7,8,9,10,12,1,2,3,4,5,11,6]
[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>[10,12,5,11,4,9,3,8,2,7,1,6]=>[7,8,9,11,12,1,2,3,4,10,5,6]
[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>[9,12,5,11,4,10,3,8,2,7,1,6]=>[7,8,10,11,12,1,2,3,9,4,5,6]
[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>[8,12,5,11,4,10,3,9,2,7,1,6]=>[7,9,10,11,12,1,2,8,3,4,5,6]
[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>[7,12,5,11,4,10,3,9,2,8,1,6]=>[8,9,10,11,12,1,7,2,3,4,5,6]
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>[6,12,5,11,4,10,3,9,2,8,1,7]=>[8,9,10,11,12,6,1,2,3,4,5,7]
[[1,2,3,4,5,6,7,9],[8]]=>[8,1,2,3,4,5,6,7,9]=>[8,1,2,3,4,5,6,7,9]
[[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>[8,1,2,3,4,5,7,6,9]
[[1,2,3,4,5,6,9],[7],[8]]=>[8,7,1,2,3,4,5,6,9]=>[7,1,2,3,4,5,8,6,9]
[[1,2,3,4,5,9],[6,7,8]]=>[6,7,8,1,2,3,4,5,9]=>[8,1,2,3,4,6,7,5,9]
[[1,2,3,4,5,9],[6,7],[8]]=>[8,6,7,1,2,3,4,5,9]=>[7,1,2,3,4,8,6,5,9]
[[1,2,3,4,5,9],[6],[7],[8]]=>[8,7,6,1,2,3,4,5,9]=>[6,1,2,3,4,7,8,5,9]
[[1,2,3,4,9],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4,9]=>[7,1,2,3,8,5,6,4,9]
[[1,2,3,4,9],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4,9]=>[6,1,2,3,8,5,7,4,9]
[[1,2,3,4,9],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4,9]=>[6,1,2,3,7,5,8,4,9]
[[1,2,3,4,9],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4,9]=>[5,1,2,3,6,7,8,4,9]
[[1,2,3,7],[4,5,6,9],[8]]=>[8,4,5,6,9,1,2,3,7]=>[9,1,2,8,4,5,3,6,7]
[[1,2,3,9],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3,9]=>[6,1,2,8,4,5,7,3,9]
[[1,2,3,9],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3,9]=>[6,1,2,7,4,5,8,3,9]
[[1,2,3,9],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3,9]=>[5,1,2,7,4,8,6,3,9]
[[1,2,3,9],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3,9]=>[5,1,2,6,4,7,8,3,9]
[[1,2,3,9],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3,9]=>[4,1,2,5,6,7,8,3,9]
[[1,2,5],[3,4,8],[6,7,9]]=>[6,7,9,3,4,8,1,2,5]=>[8,1,9,3,2,6,7,4,5]
[[1,2,5],[3,4,9],[6,7],[8]]=>[8,6,7,3,4,9,1,2,5]=>[9,1,7,3,2,8,6,4,5]
[[1,2,5],[3,4,9],[6],[7],[8]]=>[8,7,6,3,4,9,1,2,5]=>[9,1,6,3,2,7,8,4,5]
[[1,2,9],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2,9]=>[4,1,6,3,7,5,8,2,9]
[[1,2,9],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2,9]=>[4,1,5,3,6,7,8,2,9]
[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9]=>[3,1,4,5,6,7,8,2,9]
[[1,3],[2,5],[4,9],[6],[7],[8]]=>[8,7,6,4,9,2,5,1,3]=>[5,9,1,6,2,7,8,4,3]
[[1,3],[2,9],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,9,1,3]=>[9,4,1,5,6,7,8,2,3]
[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1,2,3,4,5,6,7,8,10]=>[9,1,2,3,4,5,6,7,8,10]
[[1,2,3,4,5,6,7,10],[8,9]]=>[8,9,1,2,3,4,5,6,7,10]=>[9,1,2,3,4,5,6,8,7,10]
[[1,2,3,4,5,6,7,10],[8],[9]]=>[9,8,1,2,3,4,5,6,7,10]=>[8,1,2,3,4,5,6,9,7,10]
[[1,2,3,4,5,6,10],[7,8,9]]=>[7,8,9,1,2,3,4,5,6,10]=>[9,1,2,3,4,5,7,8,6,10]
[[1,2,3,4,5,6,10],[7,8],[9]]=>[9,7,8,1,2,3,4,5,6,10]=>[8,1,2,3,4,5,9,7,6,10]
[[1,2,3,4,5,6,10],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6,10]=>[7,1,2,3,4,5,8,9,6,10]
[[1,2,3,4,5,10],[6,7,8,9]]=>[6,7,8,9,1,2,3,4,5,10]=>[9,1,2,3,4,6,7,8,5,10]
[[1,2,3,4,5,10],[6,7,8],[9]]=>[9,6,7,8,1,2,3,4,5,10]=>[8,1,2,3,4,9,6,7,5,10]
[[1,2,3,4,5,10],[6,7],[8,9]]=>[8,9,6,7,1,2,3,4,5,10]=>[7,1,2,3,4,9,6,8,5,10]
[[1,2,3,4,5,10],[6,7],[8],[9]]=>[9,8,6,7,1,2,3,4,5,10]=>[7,1,2,3,4,8,6,9,5,10]
[[1,2,3,4,5,10],[6],[7],[8],[9]]=>[9,8,7,6,1,2,3,4,5,10]=>[6,1,2,3,4,7,8,9,5,10]
[[1,2,3,4,10],[5,6,7,8],[9]]=>[9,5,6,7,8,1,2,3,4,10]=>[8,1,2,3,9,5,6,7,4,10]
[[1,2,3,4,10],[5,6,7],[8,9]]=>[8,9,5,6,7,1,2,3,4,10]=>[7,1,2,3,9,5,6,8,4,10]
[[1,2,3,4,10],[5,6,7],[8],[9]]=>[9,8,5,6,7,1,2,3,4,10]=>[7,1,2,3,8,5,6,9,4,10]
[[1,2,3,4,10],[5,6],[7,8],[9]]=>[9,7,8,5,6,1,2,3,4,10]=>[6,1,2,3,8,5,9,7,4,10]
[[1,2,3,4,10],[5,6],[7],[8],[9]]=>[9,8,7,5,6,1,2,3,4,10]=>[6,1,2,3,7,5,8,9,4,10]
[[1,2,3,4,10],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,1,2,3,4,10]=>[5,1,2,3,6,7,8,9,4,10]
[[1,2,3,7],[4,5,6,10],[8,9]]=>[8,9,4,5,6,10,1,2,3,7]=>[10,1,2,9,4,5,3,8,6,7]
[[1,2,3,7],[4,5,6,10],[8],[9]]=>[9,8,4,5,6,10,1,2,3,7]=>[10,1,2,8,4,5,3,9,6,7]
[[1,2,3,10],[4,5,6],[7,8],[9]]=>[9,7,8,4,5,6,1,2,3,10]=>[6,1,2,8,4,5,9,7,3,10]
[[1,2,3,10],[4,5,6],[7],[8],[9]]=>[9,8,7,4,5,6,1,2,3,10]=>[6,1,2,7,4,5,8,9,3,10]
[[1,2,3,10],[4,5],[6,7],[8,9]]=>[8,9,6,7,4,5,1,2,3,10]=>[5,1,2,7,4,9,6,8,3,10]
[[1,2,3,10],[4,5],[6,7],[8],[9]]=>[9,8,6,7,4,5,1,2,3,10]=>[5,1,2,7,4,8,6,9,3,10]
[[1,2,3,10],[4,5],[6],[7],[8],[9]]=>[9,8,7,6,4,5,1,2,3,10]=>[5,1,2,6,4,7,8,9,3,10]
[[1,2,3,10],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3,10]=>[4,1,2,5,6,7,8,9,3,10]
[[1,2,5],[3,4,8],[6,7,10],[9]]=>[9,6,7,10,3,4,8,1,2,5]=>[8,1,10,3,2,9,6,4,7,5]
[[1,2,5],[3,4,10],[6,7],[8,9]]=>[8,9,6,7,3,4,10,1,2,5]=>[10,1,7,3,2,9,6,8,4,5]
[[1,2,5],[3,4,10],[6,7],[8],[9]]=>[9,8,6,7,3,4,10,1,2,5]=>[10,1,7,3,2,8,6,9,4,5]
[[1,2,5],[3,4,10],[6],[7],[8],[9]]=>[9,8,7,6,3,4,10,1,2,5]=>[10,1,6,3,2,7,8,9,4,5]
[[1,2,10],[3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,3,4,1,2,10]=>[4,1,6,3,8,5,9,7,2,10]
[[1,2,10],[3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,3,4,1,2,10]=>[4,1,6,3,7,5,8,9,2,10]
[[1,2,10],[3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,3,4,1,2,10]=>[4,1,5,3,6,7,8,9,2,10]
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2,10]=>[3,1,4,5,6,7,8,9,2,10]
[[1,3],[2,5],[4,7],[6,10],[8],[9]]=>[9,8,6,10,4,7,2,5,1,3]=>[5,7,1,10,2,8,4,9,6,3]
[[1,3],[2,5],[4,10],[6],[7],[8],[9]]=>[9,8,7,6,4,10,2,5,1,3]=>[5,10,1,6,2,7,8,9,4,3]
[[1,3],[2,10],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,10,1,3]=>[10,4,1,5,6,7,8,9,2,3]
[]=>[]=>[]
[[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]
[[1,3,4,6,7,8,9],[2,5]]=>[2,5,1,3,4,6,7,8,9]=>[5,2,1,3,4,6,7,8,9]
[[1,3,5,6,7,8,9],[2],[4]]=>[4,2,1,3,5,6,7,8,9]=>[2,4,1,3,5,6,7,8,9]
[[1,3,5,6,8,9],[2,4,7]]=>[2,4,7,1,3,5,6,8,9]=>[7,2,1,4,3,5,6,8,9]
[[1,2,4,7,8,9],[3,5],[6]]=>[6,3,5,1,2,4,7,8,9]=>[5,1,6,2,3,4,7,8,9]
[[1,4,6,7,8,9],[2],[3],[5]]=>[5,3,2,1,4,6,7,8,9]=>[2,3,5,1,4,6,7,8,9]
[[1,3,5,7,8],[2,4,6,9]]=>[2,4,6,9,1,3,5,7,8]=>[9,2,1,4,3,6,5,7,8]
[[1,2,5,7,9],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7,9]=>[8,1,4,3,2,6,5,7,9]
[[1,4,6,8,9],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8,9]=>[5,7,3,1,2,4,6,8,9]
[[1,3,5,8,9],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8,9]=>[6,4,1,7,3,2,5,8,9]
[[1,5,7,8,9],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8,9]=>[2,3,4,6,1,5,7,8,9]
[[1,2,5,6],[3,7,8,9],[4]]=>[4,3,7,8,9,1,2,5,6]=>[9,1,4,3,2,5,7,8,6]
[[1,3,4,7],[2,6,8],[5,9]]=>[5,9,2,6,8,1,3,4,7]=>[8,9,1,3,5,2,4,6,7]
[[1,3,6,8],[2,7,9],[4],[5]]=>[5,4,2,7,9,1,3,6,8]=>[9,4,1,5,2,3,7,6,8]
[[1,2,6,9],[3,4],[5,7],[8]]=>[8,5,7,3,4,1,2,6,9]=>[4,1,7,3,8,2,5,6,9]
[[1,4,6,9],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6,9]=>[7,3,5,1,8,4,2,6,9]
[[1,6,8,9],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8,9]=>[2,3,4,5,7,1,6,8,9]
[[1,2,4],[3,5,7],[6,8],[9]]=>[9,6,8,3,5,7,1,2,4]=>[7,1,8,2,3,9,5,6,4]
[[1,4,7],[2,8,9],[3],[5],[6]]=>[6,5,3,2,8,9,1,4,7]=>[9,3,5,1,6,2,4,8,7]
[[1,5,8],[2,6],[3,7],[4,9]]=>[4,9,3,7,2,6,1,5,8]=>[6,7,9,4,1,2,3,5,8]
[[1,3,7],[2,5],[4,8],[6],[9]]=>[9,6,4,8,2,5,1,3,7]=>[5,8,1,6,2,9,3,4,7]
[[1,5,7],[2,8],[3],[4],[6],[9]]=>[9,6,4,3,2,8,1,5,7]=>[8,3,4,6,1,9,5,2,7]
[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7,9]=>[2,3,4,5,6,8,1,7,9]
[[1,4],[2,6],[3,8],[5],[7],[9]]=>[9,7,5,3,8,2,6,1,4]=>[6,8,5,1,7,2,9,3,4]
[[1,6],[2,8],[3],[4],[5],[7],[9]]=>[9,7,5,4,3,2,8,1,6]=>[8,3,4,5,7,1,9,2,6]
[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,9,1,8]
[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]
[[1,3,4,6,7,8,9,10],[2,5]]=>[2,5,1,3,4,6,7,8,9,10]=>[5,2,1,3,4,6,7,8,9,10]
[[1,3,5,6,7,8,9,10],[2],[4]]=>[4,2,1,3,5,6,7,8,9,10]=>[2,4,1,3,5,6,7,8,9,10]
[[1,3,5,6,8,9,10],[2,4,7]]=>[2,4,7,1,3,5,6,8,9,10]=>[7,2,1,4,3,5,6,8,9,10]
[[1,2,4,7,8,9,10],[3,5],[6]]=>[6,3,5,1,2,4,7,8,9,10]=>[5,1,6,2,3,4,7,8,9,10]
[[1,4,6,7,8,9,10],[2],[3],[5]]=>[5,3,2,1,4,6,7,8,9,10]=>[2,3,5,1,4,6,7,8,9,10]
[[1,3,5,7,8,10],[2,4,6,9]]=>[2,4,6,9,1,3,5,7,8,10]=>[9,2,1,4,3,6,5,7,8,10]
[[1,2,5,7,9,10],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7,9,10]=>[8,1,4,3,2,6,5,7,9,10]
[[1,4,6,8,9,10],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8,9,10]=>[5,7,3,1,2,4,6,8,9,10]
[[1,3,5,8,9,10],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8,9,10]=>[6,4,1,7,3,2,5,8,9,10]
[[1,5,7,8,9,10],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8,9,10]=>[2,3,4,6,1,5,7,8,9,10]
[[1,2,5,6,9],[3,7,8,10],[4]]=>[4,3,7,8,10,1,2,5,6,9]=>[10,1,4,3,2,5,7,8,6,9]
[[1,3,4,7,10],[2,6,8],[5,9]]=>[5,9,2,6,8,1,3,4,7,10]=>[8,9,1,3,5,2,4,6,7,10]
[[1,3,6,8,10],[2,7,9],[4],[5]]=>[5,4,2,7,9,1,3,6,8,10]=>[9,4,1,5,2,3,7,6,8,10]
[[1,2,6,9,10],[3,4],[5,7],[8]]=>[8,5,7,3,4,1,2,6,9,10]=>[4,1,7,3,8,2,5,6,9,10]
[[1,4,6,9,10],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6,9,10]=>[7,3,5,1,8,4,2,6,9,10]
[[1,6,8,9,10],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8,9,10]=>[2,3,4,5,7,1,6,8,9,10]
[[1,3,4,8],[2,6,9,10],[5,7]]=>[5,7,2,6,9,10,1,3,4,8]=>[10,7,1,3,5,2,6,4,9,8]
[[1,3,6,7],[2,8,9,10],[4],[5]]=>[5,4,2,8,9,10,1,3,6,7]=>[10,4,1,5,2,3,6,8,9,7]
[[1,4,7,9],[2,5,8],[3,6,10]]=>[3,6,10,2,5,8,1,4,7,9]=>[8,10,3,1,2,6,4,5,7,9]
[[1,4,7,9],[2,8,10],[3],[5],[6]]=>[6,5,3,2,8,10,1,4,7,9]=>[10,3,5,1,6,2,4,8,7,9]
[[1,5,8,10],[2,6],[3,7],[4,9]]=>[4,9,3,7,2,6,1,5,8,10]=>[6,7,9,4,1,2,3,5,8,10]
[[1,3,7,10],[2,5],[4,8],[6],[9]]=>[9,6,4,8,2,5,1,3,7,10]=>[5,8,1,6,2,9,3,4,7,10]
[[1,5,7,10],[2,8],[3],[4],[6],[9]]=>[9,6,4,3,2,8,1,5,7,10]=>[8,3,4,6,1,9,5,2,7,10]
[[1,7,9,10],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7,9,10]=>[2,3,4,5,6,8,1,7,9,10]
[[1,2,5],[3,7,8],[4,9,10],[6]]=>[6,4,9,10,3,7,8,1,2,5]=>[8,1,10,6,2,4,3,7,9,5]
[[1,4,6],[2,5,9],[3,8],[7,10]]=>[7,10,3,8,2,5,9,1,4,6]=>[9,8,10,1,2,4,7,3,5,6]
[[1,3,5],[2,6,8],[4,9],[7],[10]]=>[10,7,4,9,2,6,8,1,3,5]=>[8,9,1,7,3,2,10,6,4,5]
[[1,5,8],[2,9,10],[3],[4],[6],[7]]=>[7,6,4,3,2,9,10,1,5,8]=>[10,3,4,6,1,7,2,5,9,8]
[[1,2,8],[3,4],[5,6],[7,9],[10]]=>[10,7,9,5,6,3,4,1,2,8]=>[4,1,6,3,9,5,10,2,7,8]
[[1,4,8],[2,6],[3,9],[5],[7],[10]]=>[10,7,5,3,9,2,6,1,4,8]=>[6,9,5,1,7,2,10,4,3,8]
[[1,6,8],[2,9],[3],[4],[5],[7],[10]]=>[10,7,5,4,3,2,9,1,6,8]=>[9,3,4,5,7,1,10,6,2,8]
[[1,8,10],[2],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,1,8,10]=>[2,3,4,5,6,7,9,1,8,10]
[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[10,8,6,9,4,7,2,5,1,3]=>[5,7,1,9,2,8,4,10,6,3]
[[1,5],[2,7],[3,9],[4],[6],[8],[10]]=>[10,8,6,4,3,9,2,7,1,5]=>[7,9,4,6,1,8,2,10,3,5]
[[1,7],[2,9],[3],[4],[5],[6],[8],[10]]=>[10,8,6,5,4,3,2,9,1,7]=>[9,3,4,5,6,8,1,10,2,7]
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[10,8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,10,1,9]
[[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>[9,2,1,3,4,5,6,7,8]
[[1,3,4,5,6,7,8],[2],[9]]=>[9,2,1,3,4,5,6,7,8]=>[2,9,1,3,4,5,6,7,8]
[[1,3,4,5,6,7],[2,8,9]]=>[2,8,9,1,3,4,5,6,7]=>[9,2,1,3,4,5,6,8,7]
[[1,3,4,5,6,7],[2,9],[8]]=>[8,2,9,1,3,4,5,6,7]=>[9,8,1,3,4,5,6,2,7]
[[1,3,4,5,6,7],[2],[8],[9]]=>[9,8,2,1,3,4,5,6,7]=>[2,8,1,3,4,5,6,9,7]
[[1,3,4,5,6],[2,7,8,9]]=>[2,7,8,9,1,3,4,5,6]=>[9,2,1,3,4,5,7,8,6]
[[1,3,4,5,6],[2,8,9],[7]]=>[7,2,8,9,1,3,4,5,6]=>[9,7,1,3,4,5,2,8,6]
[[1,3,4,5,6],[2,8],[7,9]]=>[7,9,2,8,1,3,4,5,6]=>[8,9,1,3,4,5,7,2,6]
[[1,3,4,5,6],[2,8],[7],[9]]=>[9,7,2,8,1,3,4,5,6]=>[8,7,1,3,4,5,9,2,6]
[[1,3,4,5,6],[2],[7],[8],[9]]=>[9,8,7,2,1,3,4,5,6]=>[2,7,1,3,4,5,8,9,6]
[[1,3,4,5],[2,7,8],[6,9]]=>[6,9,2,7,8,1,3,4,5]=>[8,9,1,3,4,6,2,7,5]
[[1,3,4,5],[2,7,8],[6],[9]]=>[9,6,2,7,8,1,3,4,5]=>[8,6,1,3,4,9,2,7,5]
[[1,3,4,5],[2,7],[6,9],[8]]=>[8,6,9,2,7,1,3,4,5]=>[7,9,1,3,4,8,2,6,5]
[[1,3,4,5],[2,7],[6],[8],[9]]=>[9,8,6,2,7,1,3,4,5]=>[7,6,1,3,4,8,2,9,5]
[[1,3,4,5],[2],[6],[7],[8],[9]]=>[9,8,7,6,2,1,3,4,5]=>[2,6,1,3,4,7,8,9,5]
[[1,3,4],[2,6,7],[5,8,9]]=>[5,8,9,2,6,7,1,3,4]=>[7,9,1,3,5,2,6,8,4]
[[1,3,4],[2,6,7],[5,9],[8]]=>[8,5,9,2,6,7,1,3,4]=>[7,9,1,3,8,2,6,5,4]
[[1,3,4],[2,6,7],[5],[8],[9]]=>[9,8,5,2,6,7,1,3,4]=>[7,5,1,3,8,2,6,9,4]
[[1,3,4],[2,6],[5,8],[7,9]]=>[7,9,5,8,2,6,1,3,4]=>[6,8,1,3,9,2,7,5,4]
[[1,3,4],[2,6],[5,8],[7],[9]]=>[9,7,5,8,2,6,1,3,4]=>[6,8,1,3,7,2,9,5,4]
[[1,3,4],[2,6],[5],[7],[8],[9]]=>[9,8,7,5,2,6,1,3,4]=>[6,5,1,3,7,2,8,9,4]
[[1,3,4],[2],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,2,1,3,4]=>[2,5,1,3,6,7,8,9,4]
[[1,3],[2,5],[4,7],[6],[8],[9]]=>[9,8,6,4,7,2,5,1,3]=>[5,7,1,6,2,8,4,9,3]
[[1,3],[2,5],[4],[6],[7],[8],[9]]=>[9,8,7,6,4,2,5,1,3]=>[5,4,1,6,2,7,8,9,3]
[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,9,3]
[[1,3,4,5,6,7,8,9],[2,10]]=>[2,10,1,3,4,5,6,7,8,9]=>[10,2,1,3,4,5,6,7,8,9]
[[1,3,4,5,6,7,8,9],[2],[10]]=>[10,2,1,3,4,5,6,7,8,9]=>[2,10,1,3,4,5,6,7,8,9]
[[1,3,4,5,6,7,8],[2,9,10]]=>[2,9,10,1,3,4,5,6,7,8]=>[10,2,1,3,4,5,6,7,9,8]
[[1,3,4,5,6,7,8],[2,10],[9]]=>[9,2,10,1,3,4,5,6,7,8]=>[10,9,1,3,4,5,6,7,2,8]
[[1,3,4,5,6,7,8],[2],[9],[10]]=>[10,9,2,1,3,4,5,6,7,8]=>[2,9,1,3,4,5,6,7,10,8]
[[1,3,4,5,6,7],[2,8,9,10]]=>[2,8,9,10,1,3,4,5,6,7]=>[10,2,1,3,4,5,6,8,9,7]
[[1,3,4,5,6,7],[2,9,10],[8]]=>[8,2,9,10,1,3,4,5,6,7]=>[10,8,1,3,4,5,6,2,9,7]
[[1,3,4,5,6,7],[2,9],[8,10]]=>[8,10,2,9,1,3,4,5,6,7]=>[9,10,1,3,4,5,6,8,2,7]
[[1,3,4,5,6,7],[2,9],[8],[10]]=>[10,8,2,9,1,3,4,5,6,7]=>[9,8,1,3,4,5,6,10,2,7]
[[1,3,4,5,6,7],[2],[8],[9],[10]]=>[10,9,8,2,1,3,4,5,6,7]=>[2,8,1,3,4,5,6,9,10,7]
[[1,3,4,5,6],[2,8,9,10],[7]]=>[7,2,8,9,10,1,3,4,5,6]=>[10,7,1,3,4,5,2,8,9,6]
[[1,3,4,5,6],[2,8,9],[7,10]]=>[7,10,2,8,9,1,3,4,5,6]=>[9,10,1,3,4,5,7,2,8,6]
[[1,3,4,5,6],[2,8,9],[7],[10]]=>[10,7,2,8,9,1,3,4,5,6]=>[9,7,1,3,4,5,10,2,8,6]
[[1,3,4,5,6],[2,8],[7,10],[9]]=>[9,7,10,2,8,1,3,4,5,6]=>[8,10,1,3,4,5,9,2,7,6]
[[1,3,4,5,6],[2,8],[7],[9],[10]]=>[10,9,7,2,8,1,3,4,5,6]=>[8,7,1,3,4,5,9,2,10,6]
[[1,3,4,5,6],[2],[7],[8],[9],[10]]=>[10,9,8,7,2,1,3,4,5,6]=>[2,7,1,3,4,5,8,9,10,6]
[[1,3,4,5],[2,7,8,9],[6,10]]=>[6,10,2,7,8,9,1,3,4,5]=>[9,10,1,3,4,6,2,7,8,5]
[[1,3,4,5],[2,7,8,9],[6],[10]]=>[10,6,2,7,8,9,1,3,4,5]=>[9,6,1,3,4,10,2,7,8,5]
[[1,3,4,5],[2,7,8],[6,9,10]]=>[6,9,10,2,7,8,1,3,4,5]=>[8,10,1,3,4,6,2,7,9,5]
[[1,3,4,5],[2,7,8],[6,10],[9]]=>[9,6,10,2,7,8,1,3,4,5]=>[8,10,1,3,4,9,2,7,6,5]
[[1,3,4,5],[2,7,8],[6],[9],[10]]=>[10,9,6,2,7,8,1,3,4,5]=>[8,6,1,3,4,9,2,7,10,5]
[[1,3,4,5],[2,7],[6,9],[8,10]]=>[8,10,6,9,2,7,1,3,4,5]=>[7,9,1,3,4,10,2,8,6,5]
[[1,3,4,5],[2,7],[6,9],[8],[10]]=>[10,8,6,9,2,7,1,3,4,5]=>[7,9,1,3,4,8,2,10,6,5]
[[1,3,4,5],[2,7],[6],[8],[9],[10]]=>[10,9,8,6,2,7,1,3,4,5]=>[7,6,1,3,4,8,2,9,10,5]
[[1,3,4,5],[2],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,2,1,3,4,5]=>[2,6,1,3,4,7,8,9,10,5]
[[1,3,4],[2,6,7],[5,9],[8,10]]=>[8,10,5,9,2,6,7,1,3,4]=>[7,9,1,3,10,2,6,8,5,4]
[[1,3,4],[2,6,7],[5,9],[8],[10]]=>[10,8,5,9,2,6,7,1,3,4]=>[7,9,1,3,8,2,6,10,5,4]
[[1,3,4],[2,6,7],[5],[8],[9],[10]]=>[10,9,8,5,2,6,7,1,3,4]=>[7,5,1,3,8,2,6,9,10,4]
[[1,3,4],[2,6],[5,8],[7,10],[9]]=>[9,7,10,5,8,2,6,1,3,4]=>[6,8,1,3,10,2,9,5,7,4]
[[1,3,4],[2,6],[5,8],[7],[9],[10]]=>[10,9,7,5,8,2,6,1,3,4]=>[6,8,1,3,7,2,9,5,10,4]
[[1,3,4],[2,6],[5],[7],[8],[9],[10]]=>[10,9,8,7,5,2,6,1,3,4]=>[6,5,1,3,7,2,8,9,10,4]
[[1,3,4],[2],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,2,1,3,4]=>[2,5,1,3,6,7,8,9,10,4]
[[1,3],[2,5],[4,7],[6],[8],[9],[10]]=>[10,9,8,6,4,7,2,5,1,3]=>[5,7,1,6,2,8,4,9,10,3]
[[1,3],[2,5],[4],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,4,2,5,1,3]=>[5,4,1,6,2,7,8,9,10,3]
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,9,10,3]
[[1,2,4,6,8,10],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10]=>[9,1,3,2,5,4,7,6,8,10]
[[1,2,4,6,8,9,10],[3,5,7]]=>[3,5,7,1,2,4,6,8,9,10]=>[7,1,3,2,5,4,6,8,9,10]
[[1,2,4,6,7,8,10],[3,5,9]]=>[3,5,9,1,2,4,6,7,8,10]=>[9,1,3,2,5,4,6,7,8,10]
[[1,2,4,6,7,9,10],[3,5,8]]=>[3,5,8,1,2,4,6,7,9,10]=>[8,1,3,2,5,4,6,7,9,10]
[[1,2,4,6,7,8,9,10],[3,5]]=>[3,5,1,2,4,6,7,8,9,10]=>[5,1,3,2,4,6,7,8,9,10]
[[1,2,4,5,6,8,10],[3,7,9]]=>[3,7,9,1,2,4,5,6,8,10]=>[9,1,3,2,4,5,7,6,8,10]
[[1,2,4,5,6,9,10],[3,7,8]]=>[3,7,8,1,2,4,5,6,9,10]=>[8,1,3,2,4,5,7,6,9,10]
[[1,2,4,5,7,8,10],[3,6,9]]=>[3,6,9,1,2,4,5,7,8,10]=>[9,1,3,2,4,6,5,7,8,10]
[[1,2,4,5,7,9,10],[3,6,8]]=>[3,6,8,1,2,4,5,7,9,10]=>[8,1,3,2,4,6,5,7,9,10]
[[1,2,4,5,7,8,9,10],[3,6]]=>[3,6,1,2,4,5,7,8,9,10]=>[6,1,3,2,4,5,7,8,9,10]
[[1,2,4,5,6,7,8,10],[3,9]]=>[3,9,1,2,4,5,6,7,8,10]=>[9,1,3,2,4,5,6,7,8,10]
[[1,2,4,5,6,7,9,10],[3,8]]=>[3,8,1,2,4,5,6,7,9,10]=>[8,1,3,2,4,5,6,7,9,10]
[[1,2,4,5,6,8,9,10],[3,7]]=>[3,7,1,2,4,5,6,8,9,10]=>[7,1,3,2,4,5,6,8,9,10]
[[1,2,3,4,6,8,10],[5,7,9]]=>[5,7,9,1,2,3,4,6,8,10]=>[9,1,2,3,5,4,7,6,8,10]
[[1,2,3,4,6,9,10],[5,7,8]]=>[5,7,8,1,2,3,4,6,9,10]=>[8,1,2,3,5,4,7,6,9,10]
[[1,2,3,4,7,8,10],[5,6,9]]=>[5,6,9,1,2,3,4,7,8,10]=>[9,1,2,3,5,6,4,7,8,10]
[[1,2,3,4,7,9,10],[5,6,8]]=>[5,6,8,1,2,3,4,7,9,10]=>[8,1,2,3,5,6,4,7,9,10]
[[1,2,3,4,7,8,9,10],[5,6]]=>[5,6,1,2,3,4,7,8,9,10]=>[6,1,2,3,5,4,7,8,9,10]
[[1,2,3,5,6,8,10],[4,7,9]]=>[4,7,9,1,2,3,5,6,8,10]=>[9,1,2,4,3,5,7,6,8,10]
[[1,2,3,5,6,9,10],[4,7,8]]=>[4,7,8,1,2,3,5,6,9,10]=>[8,1,2,4,3,5,7,6,9,10]
[[1,2,3,5,7,8,10],[4,6,9]]=>[4,6,9,1,2,3,5,7,8,10]=>[9,1,2,4,3,6,5,7,8,10]
[[1,2,3,5,7,9,10],[4,6,8]]=>[4,6,8,1,2,3,5,7,9,10]=>[8,1,2,4,3,6,5,7,9,10]
[[1,2,3,5,7,8,9,10],[4,6]]=>[4,6,1,2,3,5,7,8,9,10]=>[6,1,2,4,3,5,7,8,9,10]
[[1,2,3,5,6,7,8,10],[4,9]]=>[4,9,1,2,3,5,6,7,8,10]=>[9,1,2,4,3,5,6,7,8,10]
[[1,2,3,5,6,7,9,10],[4,8]]=>[4,8,1,2,3,5,6,7,9,10]=>[8,1,2,4,3,5,6,7,9,10]
[[1,2,3,5,6,8,9,10],[4,7]]=>[4,7,1,2,3,5,6,8,9,10]=>[7,1,2,4,3,5,6,8,9,10]
[[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]
[[1,2,3,4,5,6,8,10],[7,9]]=>[7,9,1,2,3,4,5,6,8,10]=>[9,1,2,3,4,5,7,6,8,10]
[[1,2,3,4,5,6,9,10],[7,8]]=>[7,8,1,2,3,4,5,6,9,10]=>[8,1,2,3,4,5,7,6,9,10]
[[1,2,3,4,5,7,8,10],[6,9]]=>[6,9,1,2,3,4,5,7,8,10]=>[9,1,2,3,4,6,5,7,8,10]
[[1,2,3,4,5,7,9,10],[6,8]]=>[6,8,1,2,3,4,5,7,9,10]=>[8,1,2,3,4,6,5,7,9,10]
[[1,2,3,4,5,8,9,10],[6,7]]=>[6,7,1,2,3,4,5,8,9,10]=>[7,1,2,3,4,6,5,8,9,10]
[[1,2,3,4,6,7,8,10],[5,9]]=>[5,9,1,2,3,4,6,7,8,10]=>[9,1,2,3,5,4,6,7,8,10]
[[1,2,3,4,6,7,9,10],[5,8]]=>[5,8,1,2,3,4,6,7,9,10]=>[8,1,2,3,5,4,6,7,9,10]
[[1,2,3,4,6,8,9,10],[5,7]]=>[5,7,1,2,3,4,6,8,9,10]=>[7,1,2,3,5,4,6,8,9,10]
[[1,2,3,4,6,7,8,9,10],[5]]=>[5,1,2,3,4,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]
[[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>[8,1,2,3,4,5,6,7,9,10]
[[1,2,3,4,5,6,8,9,10],[7]]=>[7,1,2,3,4,5,6,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]
[[1,2,3,4,5,7,8,9,10],[6]]=>[6,1,2,3,4,5,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]
[[1,2,4,6,8,10,12],[3,5,7,9,11]]=>[3,5,7,9,11,1,2,4,6,8,10,12]=>[11,1,3,2,5,4,7,6,9,8,10,12]
[[1,2,4,6,8,10,11,12],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10,11,12]=>[9,1,3,2,5,4,7,6,8,10,11,12]
[[1,2,4,6,8,9,10,12],[3,5,7,11]]=>[3,5,7,11,1,2,4,6,8,9,10,12]=>[11,1,3,2,5,4,7,6,8,9,10,12]
[[1,2,4,6,8,9,11,12],[3,5,7,10]]=>[3,5,7,10,1,2,4,6,8,9,11,12]=>[10,1,3,2,5,4,7,6,8,9,11,12]
[[1,2,4,6,8,9,10,11,12],[3,5,7]]=>[3,5,7,1,2,4,6,8,9,10,11,12]=>[7,1,3,2,5,4,6,8,9,10,11,12]
[[1,2,4,6,7,8,10,12],[3,5,9,11]]=>[3,5,9,11,1,2,4,6,7,8,10,12]=>[11,1,3,2,5,4,6,7,9,8,10,12]
[[1,2,4,6,7,8,11,12],[3,5,9,10]]=>[3,5,9,10,1,2,4,6,7,8,11,12]=>[10,1,3,2,5,4,6,7,9,8,11,12]
[[1,2,4,6,7,9,10,12],[3,5,8,11]]=>[3,5,8,11,1,2,4,6,7,9,10,12]=>[11,1,3,2,5,4,6,8,7,9,10,12]
[[1,2,4,6,7,9,11,12],[3,5,8,10]]=>[3,5,8,10,1,2,4,6,7,9,11,12]=>[10,1,3,2,5,4,6,8,7,9,11,12]
[[1,2,4,6,7,9,10,11,12],[3,5,8]]=>[3,5,8,1,2,4,6,7,9,10,11,12]=>[8,1,3,2,5,4,6,7,9,10,11,12]
[[1,2,4,6,7,8,9,10,12],[3,5,11]]=>[3,5,11,1,2,4,6,7,8,9,10,12]=>[11,1,3,2,5,4,6,7,8,9,10,12]
[[1,2,4,6,7,8,9,11,12],[3,5,10]]=>[3,5,10,1,2,4,6,7,8,9,11,12]=>[10,1,3,2,5,4,6,7,8,9,11,12]
[[1,2,4,6,7,8,10,11,12],[3,5,9]]=>[3,5,9,1,2,4,6,7,8,10,11,12]=>[9,1,3,2,5,4,6,7,8,10,11,12]
[[1,2,4,6,7,8,9,10,11,12],[3,5]]=>[3,5,1,2,4,6,7,8,9,10,11,12]=>[5,1,3,2,4,6,7,8,9,10,11,12]
[[1,2,4,5,6,8,10,12],[3,7,9,11]]=>[3,7,9,11,1,2,4,5,6,8,10,12]=>[11,1,3,2,4,5,7,6,9,8,10,12]
[[1,2,4,5,6,8,11,12],[3,7,9,10]]=>[3,7,9,10,1,2,4,5,6,8,11,12]=>[10,1,3,2,4,5,7,6,9,8,11,12]
[[1,2,4,5,6,9,10,12],[3,7,8,11]]=>[3,7,8,11,1,2,4,5,6,9,10,12]=>[11,1,3,2,4,5,7,8,6,9,10,12]
[[1,2,4,5,6,9,11,12],[3,7,8,10]]=>[3,7,8,10,1,2,4,5,6,9,11,12]=>[10,1,3,2,4,5,7,8,6,9,11,12]
[[1,2,4,5,6,9,10,11,12],[3,7,8]]=>[3,7,8,1,2,4,5,6,9,10,11,12]=>[8,1,3,2,4,5,7,6,9,10,11,12]
[[1,2,4,5,7,8,10,12],[3,6,9,11]]=>[3,6,9,11,1,2,4,5,7,8,10,12]=>[11,1,3,2,4,6,5,7,9,8,10,12]
[[1,2,4,5,7,8,11,12],[3,6,9,10]]=>[3,6,9,10,1,2,4,5,7,8,11,12]=>[10,1,3,2,4,6,5,7,9,8,11,12]
[[1,2,4,5,7,9,10,12],[3,6,8,11]]=>[3,6,8,11,1,2,4,5,7,9,10,12]=>[11,1,3,2,4,6,5,8,7,9,10,12]
[[1,2,4,5,7,9,11,12],[3,6,8,10]]=>[3,6,8,10,1,2,4,5,7,9,11,12]=>[10,1,3,2,4,6,5,8,7,9,11,12]
[[1,2,4,5,7,9,10,11,12],[3,6,8]]=>[3,6,8,1,2,4,5,7,9,10,11,12]=>[8,1,3,2,4,6,5,7,9,10,11,12]
[[1,2,4,5,7,8,9,10,12],[3,6,11]]=>[3,6,11,1,2,4,5,7,8,9,10,12]=>[11,1,3,2,4,6,5,7,8,9,10,12]
[[1,2,4,5,7,8,9,11,12],[3,6,10]]=>[3,6,10,1,2,4,5,7,8,9,11,12]=>[10,1,3,2,4,6,5,7,8,9,11,12]
[[1,2,4,5,7,8,10,11,12],[3,6,9]]=>[3,6,9,1,2,4,5,7,8,10,11,12]=>[9,1,3,2,4,6,5,7,8,10,11,12]
[[1,2,4,5,7,8,9,10,11,12],[3,6]]=>[3,6,1,2,4,5,7,8,9,10,11,12]=>[6,1,3,2,4,5,7,8,9,10,11,12]
[[1,2,4,5,6,7,8,10,12],[3,9,11]]=>[3,9,11,1,2,4,5,6,7,8,10,12]=>[11,1,3,2,4,5,6,7,9,8,10,12]
[[1,2,4,5,6,7,8,11,12],[3,9,10]]=>[3,9,10,1,2,4,5,6,7,8,11,12]=>[10,1,3,2,4,5,6,7,9,8,11,12]
[[1,2,4,5,6,7,9,10,12],[3,8,11]]=>[3,8,11,1,2,4,5,6,7,9,10,12]=>[11,1,3,2,4,5,6,8,7,9,10,12]
[[1,2,4,5,6,7,9,11,12],[3,8,10]]=>[3,8,10,1,2,4,5,6,7,9,11,12]=>[10,1,3,2,4,5,6,8,7,9,11,12]
[[1,2,4,5,6,7,10,11,12],[3,8,9]]=>[3,8,9,1,2,4,5,6,7,10,11,12]=>[9,1,3,2,4,5,6,8,7,10,11,12]
[[1,2,4,5,6,8,9,10,12],[3,7,11]]=>[3,7,11,1,2,4,5,6,8,9,10,12]=>[11,1,3,2,4,5,7,6,8,9,10,12]
[[1,2,4,5,6,8,9,11,12],[3,7,10]]=>[3,7,10,1,2,4,5,6,8,9,11,12]=>[10,1,3,2,4,5,7,6,8,9,11,12]
[[1,2,4,5,6,8,10,11,12],[3,7,9]]=>[3,7,9,1,2,4,5,6,8,10,11,12]=>[9,1,3,2,4,5,7,6,8,10,11,12]
[[1,2,4,5,6,8,9,10,11,12],[3,7]]=>[3,7,1,2,4,5,6,8,9,10,11,12]=>[7,1,3,2,4,5,6,8,9,10,11,12]
[[1,2,4,5,6,7,8,9,10,12],[3,11]]=>[3,11,1,2,4,5,6,7,8,9,10,12]=>[11,1,3,2,4,5,6,7,8,9,10,12]
[[1,2,4,5,6,7,8,9,11,12],[3,10]]=>[3,10,1,2,4,5,6,7,8,9,11,12]=>[10,1,3,2,4,5,6,7,8,9,11,12]
[[1,2,4,5,6,7,8,10,11,12],[3,9]]=>[3,9,1,2,4,5,6,7,8,10,11,12]=>[9,1,3,2,4,5,6,7,8,10,11,12]
[[1,2,4,5,6,7,9,10,11,12],[3,8]]=>[3,8,1,2,4,5,6,7,9,10,11,12]=>[8,1,3,2,4,5,6,7,9,10,11,12]
[[1,2,4,5,6,7,8,9,10,11,12],[3]]=>[3,1,2,4,5,6,7,8,9,10,11,12]=>[3,1,2,4,5,6,7,8,9,10,11,12]
[[1,2,3,4,6,8,10,12],[5,7,9,11]]=>[5,7,9,11,1,2,3,4,6,8,10,12]=>[11,1,2,3,5,4,7,6,9,8,10,12]
[[1,2,3,4,6,8,11,12],[5,7,9,10]]=>[5,7,9,10,1,2,3,4,6,8,11,12]=>[10,1,2,3,5,4,7,6,9,8,11,12]
[[1,2,3,4,6,9,10,12],[5,7,8,11]]=>[5,7,8,11,1,2,3,4,6,9,10,12]=>[11,1,2,3,5,4,7,8,6,9,10,12]
[[1,2,3,4,6,9,11,12],[5,7,8,10]]=>[5,7,8,10,1,2,3,4,6,9,11,12]=>[10,1,2,3,5,4,7,8,6,9,11,12]
[[1,2,3,4,6,9,10,11,12],[5,7,8]]=>[5,7,8,1,2,3,4,6,9,10,11,12]=>[8,1,2,3,5,4,7,6,9,10,11,12]
[[1,2,3,4,7,8,10,12],[5,6,9,11]]=>[5,6,9,11,1,2,3,4,7,8,10,12]=>[11,1,2,3,5,6,4,7,9,8,10,12]
[[1,2,3,4,7,8,11,12],[5,6,9,10]]=>[5,6,9,10,1,2,3,4,7,8,11,12]=>[10,1,2,3,5,6,4,7,9,8,11,12]
[[1,2,3,4,7,9,10,12],[5,6,8,11]]=>[5,6,8,11,1,2,3,4,7,9,10,12]=>[11,1,2,3,5,6,4,8,7,9,10,12]
[[1,2,3,4,7,9,11,12],[5,6,8,10]]=>[5,6,8,10,1,2,3,4,7,9,11,12]=>[10,1,2,3,5,6,4,8,7,9,11,12]
[[1,2,3,4,7,9,10,11,12],[5,6,8]]=>[5,6,8,1,2,3,4,7,9,10,11,12]=>[8,1,2,3,5,6,4,7,9,10,11,12]
[[1,2,3,4,7,8,9,10,12],[5,6,11]]=>[5,6,11,1,2,3,4,7,8,9,10,12]=>[11,1,2,3,5,6,4,7,8,9,10,12]
[[1,2,3,4,7,8,9,11,12],[5,6,10]]=>[5,6,10,1,2,3,4,7,8,9,11,12]=>[10,1,2,3,5,6,4,7,8,9,11,12]
[[1,2,3,4,7,8,10,11,12],[5,6,9]]=>[5,6,9,1,2,3,4,7,8,10,11,12]=>[9,1,2,3,5,6,4,7,8,10,11,12]
[[1,2,3,4,7,8,9,10,11,12],[5,6]]=>[5,6,1,2,3,4,7,8,9,10,11,12]=>[6,1,2,3,5,4,7,8,9,10,11,12]
[[1,2,3,5,6,8,10,12],[4,7,9,11]]=>[4,7,9,11,1,2,3,5,6,8,10,12]=>[11,1,2,4,3,5,7,6,9,8,10,12]
[[1,2,3,5,6,8,11,12],[4,7,9,10]]=>[4,7,9,10,1,2,3,5,6,8,11,12]=>[10,1,2,4,3,5,7,6,9,8,11,12]
[[1,2,3,5,6,9,10,12],[4,7,8,11]]=>[4,7,8,11,1,2,3,5,6,9,10,12]=>[11,1,2,4,3,5,7,8,6,9,10,12]
[[1,2,3,5,6,9,11,12],[4,7,8,10]]=>[4,7,8,10,1,2,3,5,6,9,11,12]=>[10,1,2,4,3,5,7,8,6,9,11,12]
[[1,2,3,5,6,9,10,11,12],[4,7,8]]=>[4,7,8,1,2,3,5,6,9,10,11,12]=>[8,1,2,4,3,5,7,6,9,10,11,12]
[[1,2,3,5,7,8,10,12],[4,6,9,11]]=>[4,6,9,11,1,2,3,5,7,8,10,12]=>[11,1,2,4,3,6,5,7,9,8,10,12]
[[1,2,3,5,7,8,11,12],[4,6,9,10]]=>[4,6,9,10,1,2,3,5,7,8,11,12]=>[10,1,2,4,3,6,5,7,9,8,11,12]
[[1,2,3,5,7,9,10,12],[4,6,8,11]]=>[4,6,8,11,1,2,3,5,7,9,10,12]=>[11,1,2,4,3,6,5,8,7,9,10,12]
[[1,2,3,5,7,9,11,12],[4,6,8,10]]=>[4,6,8,10,1,2,3,5,7,9,11,12]=>[10,1,2,4,3,6,5,8,7,9,11,12]
[[1,2,3,5,7,9,10,11,12],[4,6,8]]=>[4,6,8,1,2,3,5,7,9,10,11,12]=>[8,1,2,4,3,6,5,7,9,10,11,12]
[[1,2,3,5,7,8,9,10,12],[4,6,11]]=>[4,6,11,1,2,3,5,7,8,9,10,12]=>[11,1,2,4,3,6,5,7,8,9,10,12]
[[1,2,3,5,7,8,9,11,12],[4,6,10]]=>[4,6,10,1,2,3,5,7,8,9,11,12]=>[10,1,2,4,3,6,5,7,8,9,11,12]
[[1,2,3,5,7,8,10,11,12],[4,6,9]]=>[4,6,9,1,2,3,5,7,8,10,11,12]=>[9,1,2,4,3,6,5,7,8,10,11,12]
[[1,2,3,5,7,8,9,10,11,12],[4,6]]=>[4,6,1,2,3,5,7,8,9,10,11,12]=>[6,1,2,4,3,5,7,8,9,10,11,12]
[[1,2,3,5,6,7,8,10,12],[4,9,11]]=>[4,9,11,1,2,3,5,6,7,8,10,12]=>[11,1,2,4,3,5,6,7,9,8,10,12]
[[1,2,3,5,6,7,8,11,12],[4,9,10]]=>[4,9,10,1,2,3,5,6,7,8,11,12]=>[10,1,2,4,3,5,6,7,9,8,11,12]
[[1,2,3,5,6,7,9,10,12],[4,8,11]]=>[4,8,11,1,2,3,5,6,7,9,10,12]=>[11,1,2,4,3,5,6,8,7,9,10,12]
[[1,2,3,5,6,7,9,11,12],[4,8,10]]=>[4,8,10,1,2,3,5,6,7,9,11,12]=>[10,1,2,4,3,5,6,8,7,9,11,12]
[[1,2,3,5,6,7,10,11,12],[4,8,9]]=>[4,8,9,1,2,3,5,6,7,10,11,12]=>[9,1,2,4,3,5,6,8,7,10,11,12]
[[1,2,3,5,6,8,9,10,12],[4,7,11]]=>[4,7,11,1,2,3,5,6,8,9,10,12]=>[11,1,2,4,3,5,7,6,8,9,10,12]
[[1,2,3,5,6,8,9,11,12],[4,7,10]]=>[4,7,10,1,2,3,5,6,8,9,11,12]=>[10,1,2,4,3,5,7,6,8,9,11,12]
[[1,2,3,5,6,8,10,11,12],[4,7,9]]=>[4,7,9,1,2,3,5,6,8,10,11,12]=>[9,1,2,4,3,5,7,6,8,10,11,12]
[[1,2,3,5,6,8,9,10,11,12],[4,7]]=>[4,7,1,2,3,5,6,8,9,10,11,12]=>[7,1,2,4,3,5,6,8,9,10,11,12]
[[1,2,3,5,6,7,8,9,10,12],[4,11]]=>[4,11,1,2,3,5,6,7,8,9,10,12]=>[11,1,2,4,3,5,6,7,8,9,10,12]
[[1,2,3,5,6,7,8,9,11,12],[4,10]]=>[4,10,1,2,3,5,6,7,8,9,11,12]=>[10,1,2,4,3,5,6,7,8,9,11,12]
[[1,2,3,5,6,7,8,10,11,12],[4,9]]=>[4,9,1,2,3,5,6,7,8,10,11,12]=>[9,1,2,4,3,5,6,7,8,10,11,12]
[[1,2,3,5,6,7,9,10,11,12],[4,8]]=>[4,8,1,2,3,5,6,7,9,10,11,12]=>[8,1,2,4,3,5,6,7,9,10,11,12]
[[1,2,3,5,6,7,8,9,10,11,12],[4]]=>[4,1,2,3,5,6,7,8,9,10,11,12]=>[4,1,2,3,5,6,7,8,9,10,11,12]
[[1,2,3,4,5,6,8,10,12],[7,9,11]]=>[7,9,11,1,2,3,4,5,6,8,10,12]=>[11,1,2,3,4,5,7,6,9,8,10,12]
[[1,2,3,4,5,6,8,11,12],[7,9,10]]=>[7,9,10,1,2,3,4,5,6,8,11,12]=>[10,1,2,3,4,5,7,6,9,8,11,12]
[[1,2,3,4,5,6,9,10,12],[7,8,11]]=>[7,8,11,1,2,3,4,5,6,9,10,12]=>[11,1,2,3,4,5,7,8,6,9,10,12]
[[1,2,3,4,5,6,9,11,12],[7,8,10]]=>[7,8,10,1,2,3,4,5,6,9,11,12]=>[10,1,2,3,4,5,7,8,6,9,11,12]
[[1,2,3,4,5,6,10,11,12],[7,8,9]]=>[7,8,9,1,2,3,4,5,6,10,11,12]=>[9,1,2,3,4,5,7,8,6,10,11,12]
[[1,2,3,4,5,7,8,10,12],[6,9,11]]=>[6,9,11,1,2,3,4,5,7,8,10,12]=>[11,1,2,3,4,6,5,7,9,8,10,12]
[[1,2,3,4,5,7,8,11,12],[6,9,10]]=>[6,9,10,1,2,3,4,5,7,8,11,12]=>[10,1,2,3,4,6,5,7,9,8,11,12]
[[1,2,3,4,5,7,9,10,12],[6,8,11]]=>[6,8,11,1,2,3,4,5,7,9,10,12]=>[11,1,2,3,4,6,5,8,7,9,10,12]
[[1,2,3,4,5,7,9,11,12],[6,8,10]]=>[6,8,10,1,2,3,4,5,7,9,11,12]=>[10,1,2,3,4,6,5,8,7,9,11,12]
[[1,2,3,4,5,7,10,11,12],[6,8,9]]=>[6,8,9,1,2,3,4,5,7,10,11,12]=>[9,1,2,3,4,6,5,8,7,10,11,12]
[[1,2,3,4,5,8,9,10,12],[6,7,11]]=>[6,7,11,1,2,3,4,5,8,9,10,12]=>[11,1,2,3,4,6,7,5,8,9,10,12]
[[1,2,3,4,5,8,9,11,12],[6,7,10]]=>[6,7,10,1,2,3,4,5,8,9,11,12]=>[10,1,2,3,4,6,7,5,8,9,11,12]
[[1,2,3,4,5,8,10,11,12],[6,7,9]]=>[6,7,9,1,2,3,4,5,8,10,11,12]=>[9,1,2,3,4,6,7,5,8,10,11,12]
[[1,2,3,4,5,8,9,10,11,12],[6,7]]=>[6,7,1,2,3,4,5,8,9,10,11,12]=>[7,1,2,3,4,6,5,8,9,10,11,12]
[[1,2,3,4,6,7,8,10,12],[5,9,11]]=>[5,9,11,1,2,3,4,6,7,8,10,12]=>[11,1,2,3,5,4,6,7,9,8,10,12]
[[1,2,3,4,6,7,8,11,12],[5,9,10]]=>[5,9,10,1,2,3,4,6,7,8,11,12]=>[10,1,2,3,5,4,6,7,9,8,11,12]
[[1,2,3,4,6,7,9,10,12],[5,8,11]]=>[5,8,11,1,2,3,4,6,7,9,10,12]=>[11,1,2,3,5,4,6,8,7,9,10,12]
[[1,2,3,4,6,7,9,11,12],[5,8,10]]=>[5,8,10,1,2,3,4,6,7,9,11,12]=>[10,1,2,3,5,4,6,8,7,9,11,12]
[[1,2,3,4,6,7,10,11,12],[5,8,9]]=>[5,8,9,1,2,3,4,6,7,10,11,12]=>[9,1,2,3,5,4,6,8,7,10,11,12]
[[1,2,3,4,6,8,9,10,12],[5,7,11]]=>[5,7,11,1,2,3,4,6,8,9,10,12]=>[11,1,2,3,5,4,7,6,8,9,10,12]
[[1,2,3,4,6,8,9,11,12],[5,7,10]]=>[5,7,10,1,2,3,4,6,8,9,11,12]=>[10,1,2,3,5,4,7,6,8,9,11,12]
[[1,2,3,4,6,8,10,11,12],[5,7,9]]=>[5,7,9,1,2,3,4,6,8,10,11,12]=>[9,1,2,3,5,4,7,6,8,10,11,12]
[[1,2,3,4,6,8,9,10,11,12],[5,7]]=>[5,7,1,2,3,4,6,8,9,10,11,12]=>[7,1,2,3,5,4,6,8,9,10,11,12]
[[1,2,3,4,6,7,8,9,10,12],[5,11]]=>[5,11,1,2,3,4,6,7,8,9,10,12]=>[11,1,2,3,5,4,6,7,8,9,10,12]
[[1,2,3,4,6,7,8,9,11,12],[5,10]]=>[5,10,1,2,3,4,6,7,8,9,11,12]=>[10,1,2,3,5,4,6,7,8,9,11,12]
[[1,2,3,4,6,7,8,10,11,12],[5,9]]=>[5,9,1,2,3,4,6,7,8,10,11,12]=>[9,1,2,3,5,4,6,7,8,10,11,12]
[[1,2,3,4,6,7,9,10,11,12],[5,8]]=>[5,8,1,2,3,4,6,7,9,10,11,12]=>[8,1,2,3,5,4,6,7,9,10,11,12]
[[1,2,3,4,6,7,8,9,10,11,12],[5]]=>[5,1,2,3,4,6,7,8,9,10,11,12]=>[5,1,2,3,4,6,7,8,9,10,11,12]
[[1,2,3,4,5,6,7,8,10,12],[9,11]]=>[9,11,1,2,3,4,5,6,7,8,10,12]=>[11,1,2,3,4,5,6,7,9,8,10,12]
[[1,2,3,4,5,6,7,8,11,12],[9,10]]=>[9,10,1,2,3,4,5,6,7,8,11,12]=>[10,1,2,3,4,5,6,7,9,8,11,12]
[[1,2,3,4,5,6,7,9,10,12],[8,11]]=>[8,11,1,2,3,4,5,6,7,9,10,12]=>[11,1,2,3,4,5,6,8,7,9,10,12]
[[1,2,3,4,5,6,7,9,11,12],[8,10]]=>[8,10,1,2,3,4,5,6,7,9,11,12]=>[10,1,2,3,4,5,6,8,7,9,11,12]
[[1,2,3,4,5,6,7,10,11,12],[8,9]]=>[8,9,1,2,3,4,5,6,7,10,11,12]=>[9,1,2,3,4,5,6,8,7,10,11,12]
[[1,2,3,4,5,6,8,9,10,12],[7,11]]=>[7,11,1,2,3,4,5,6,8,9,10,12]=>[11,1,2,3,4,5,7,6,8,9,10,12]
[[1,2,3,4,5,6,8,9,11,12],[7,10]]=>[7,10,1,2,3,4,5,6,8,9,11,12]=>[10,1,2,3,4,5,7,6,8,9,11,12]
[[1,2,3,4,5,6,8,10,11,12],[7,9]]=>[7,9,1,2,3,4,5,6,8,10,11,12]=>[9,1,2,3,4,5,7,6,8,10,11,12]
[[1,2,3,4,5,6,9,10,11,12],[7,8]]=>[7,8,1,2,3,4,5,6,9,10,11,12]=>[8,1,2,3,4,5,7,6,9,10,11,12]
[[1,2,3,4,5,7,8,9,10,12],[6,11]]=>[6,11,1,2,3,4,5,7,8,9,10,12]=>[11,1,2,3,4,6,5,7,8,9,10,12]
[[1,2,3,4,5,7,8,9,11,12],[6,10]]=>[6,10,1,2,3,4,5,7,8,9,11,12]=>[10,1,2,3,4,6,5,7,8,9,11,12]
[[1,2,3,4,5,7,8,10,11,12],[6,9]]=>[6,9,1,2,3,4,5,7,8,10,11,12]=>[9,1,2,3,4,6,5,7,8,10,11,12]
[[1,2,3,4,5,7,9,10,11,12],[6,8]]=>[6,8,1,2,3,4,5,7,9,10,11,12]=>[8,1,2,3,4,6,5,7,9,10,11,12]
[[1,2,3,4,5,7,8,9,10,11,12],[6]]=>[6,1,2,3,4,5,7,8,9,10,11,12]=>[6,1,2,3,4,5,7,8,9,10,11,12]
[[1,2,3,4,5,6,7,8,9,10,12],[11]]=>[11,1,2,3,4,5,6,7,8,9,10,12]=>[11,1,2,3,4,5,6,7,8,9,10,12]
[[1,2,3,4,5,6,7,8,9,11,12],[10]]=>[10,1,2,3,4,5,6,7,8,9,11,12]=>[10,1,2,3,4,5,6,7,8,9,11,12]
[[1,2,3,4,5,6,7,8,10,11,12],[9]]=>[9,1,2,3,4,5,6,7,8,10,11,12]=>[9,1,2,3,4,5,6,7,8,10,11,12]
[[1,2,3,4,5,6,7,9,10,11,12],[8]]=>[8,1,2,3,4,5,6,7,9,10,11,12]=>[8,1,2,3,4,5,6,7,9,10,11,12]
[[1,2,3,4,5,6,8,9,10,11,12],[7]]=>[7,1,2,3,4,5,6,8,9,10,11,12]=>[7,1,2,3,4,5,6,8,9,10,11,12]
[[1,2,5,6,7,8],[3,4,9]]=>[3,4,9,1,2,5,6,7,8]=>[9,1,3,4,2,5,6,7,8]
[[1,2,5,6,7,8],[3,4],[9]]=>[9,3,4,1,2,5,6,7,8]=>[4,1,9,3,2,5,6,7,8]
[[1,4,5,6,7,8],[2],[3],[9]]=>[9,3,2,1,4,5,6,7,8]=>[2,3,9,1,4,5,6,7,8]
[[1,2,3,7,8],[4,5,6,9]]=>[4,5,6,9,1,2,3,7,8]=>[9,1,2,4,5,6,3,7,8]
[[1,2,3,7,8],[4,5,6],[9]]=>[9,4,5,6,1,2,3,7,8]=>[6,1,2,9,4,5,3,7,8]
[[1,3,6,7,8],[2,5],[4,9]]=>[4,9,2,5,1,3,6,7,8]=>[5,9,1,4,2,3,6,7,8]
[[1,3,6,7,8],[2,5],[4],[9]]=>[9,4,2,5,1,3,6,7,8]=>[5,4,1,9,2,3,6,7,8]
[[1,5,6,7,8],[2],[3],[4],[9]]=>[9,4,3,2,1,5,6,7,8]=>[2,3,4,9,1,5,6,7,8]
[[1,3,4,8],[2,6,7],[5,9]]=>[5,9,2,6,7,1,3,4,8]=>[7,9,1,3,5,2,6,4,8]
[[1,3,4,8],[2,6,7],[5],[9]]=>[9,5,2,6,7,1,3,4,8]=>[7,5,1,3,9,2,6,4,8]
[[1,2,7,8],[3,4],[5,6],[9]]=>[9,5,6,3,4,1,2,7,8]=>[4,1,6,3,9,5,2,7,8]
[[1,4,7,8],[2,6],[3],[5],[9]]=>[9,5,3,2,6,1,4,7,8]=>[6,3,5,1,9,2,4,7,8]
[[1,6,7,8],[2],[3],[4],[5],[9]]=>[9,5,4,3,2,1,6,7,8]=>[2,3,4,5,9,1,6,7,8]
[[1,2,5],[3,4,8],[6,7],[9]]=>[9,6,7,3,4,8,1,2,5]=>[8,1,7,3,2,9,6,4,5]
[[1,4,5],[2,7,8],[3],[6],[9]]=>[9,6,3,2,7,8,1,4,5]=>[8,3,6,1,4,9,2,7,5]
[[1,3,8],[2,5],[4,7],[6,9]]=>[6,9,4,7,2,5,1,3,8]=>[5,7,1,9,2,6,4,3,8]
[[1,3,8],[2,5],[4,7],[6],[9]]=>[9,6,4,7,2,5,1,3,8]=>[5,7,1,6,2,9,4,3,8]
[[1,5,8],[2,7],[3],[4],[6],[9]]=>[9,6,4,3,2,7,1,5,8]=>[7,3,4,6,1,9,2,5,8]
[[1,7,8],[2],[3],[4],[5],[6],[9]]=>[9,6,5,4,3,2,1,7,8]=>[2,3,4,5,6,9,1,7,8]
[[1,2,5,6,7,8,9],[3,4,10]]=>[3,4,10,1,2,5,6,7,8,9]=>[10,1,3,4,2,5,6,7,8,9]
[[1,2,5,6,7,8,9],[3,4],[10]]=>[10,3,4,1,2,5,6,7,8,9]=>[4,1,10,3,2,5,6,7,8,9]
[[1,4,5,6,7,8,9],[2],[3],[10]]=>[10,3,2,1,4,5,6,7,8,9]=>[2,3,10,1,4,5,6,7,8,9]
[[1,2,3,7,8,9],[4,5,6,10]]=>[4,5,6,10,1,2,3,7,8,9]=>[10,1,2,4,5,6,3,7,8,9]
[[1,2,3,7,8,9],[4,5,6],[10]]=>[10,4,5,6,1,2,3,7,8,9]=>[6,1,2,10,4,5,3,7,8,9]
[[1,3,6,7,8,9],[2,5],[4,10]]=>[4,10,2,5,1,3,6,7,8,9]=>[5,10,1,4,2,3,6,7,8,9]
[[1,3,6,7,8,9],[2,5],[4],[10]]=>[10,4,2,5,1,3,6,7,8,9]=>[5,4,1,10,2,3,6,7,8,9]
[[1,5,6,7,8,9],[2],[3],[4],[10]]=>[10,4,3,2,1,5,6,7,8,9]=>[2,3,4,10,1,5,6,7,8,9]
[[1,2,3,4,9],[5,6,7,8],[10]]=>[10,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,10,5,6,7,4,9]
[[1,3,4,8,9],[2,6,7],[5,10]]=>[5,10,2,6,7,1,3,4,8,9]=>[7,10,1,3,5,2,6,4,8,9]
[[1,3,4,8,9],[2,6,7],[5],[10]]=>[10,5,2,6,7,1,3,4,8,9]=>[7,5,1,3,10,2,6,4,8,9]
[[1,2,7,8,9],[3,4],[5,6],[10]]=>[10,5,6,3,4,1,2,7,8,9]=>[4,1,6,3,10,5,2,7,8,9]
[[1,4,7,8,9],[2,6],[3],[5],[10]]=>[10,5,3,2,6,1,4,7,8,9]=>[6,3,5,1,10,2,4,7,8,9]
[[1,6,7,8,9],[2],[3],[4],[5],[10]]=>[10,5,4,3,2,1,6,7,8,9]=>[2,3,4,5,10,1,6,7,8,9]
[[1,2,5,9],[3,4,8],[6,7,10]]=>[6,7,10,3,4,8,1,2,5,9]=>[8,1,10,3,2,6,7,4,5,9]
[[1,2,5,9],[3,4,8],[6,7],[10]]=>[10,6,7,3,4,8,1,2,5,9]=>[8,1,7,3,2,10,6,4,5,9]
[[1,4,5,9],[2,7,8],[3],[6],[10]]=>[10,6,3,2,7,8,1,4,5,9]=>[8,3,6,1,4,10,2,7,5,9]
[[1,3,8,9],[2,5],[4,7],[6,10]]=>[6,10,4,7,2,5,1,3,8,9]=>[5,7,1,10,2,6,4,3,8,9]
[[1,3,8,9],[2,5],[4,7],[6],[10]]=>[10,6,4,7,2,5,1,3,8,9]=>[5,7,1,6,2,10,4,3,8,9]
[[1,5,8,9],[2,7],[3],[4],[6],[10]]=>[10,6,4,3,2,7,1,5,8,9]=>[7,3,4,6,1,10,2,5,8,9]
[[1,7,8,9],[2],[3],[4],[5],[6],[10]]=>[10,6,5,4,3,2,1,7,8,9]=>[2,3,4,5,6,10,1,7,8,9]
[[1,3,6],[2,5,9],[4,8],[7,10]]=>[7,10,4,8,2,5,9,1,3,6]=>[9,8,1,10,2,3,7,4,5,6]
[[1,3,6],[2,5,9],[4,8],[7],[10]]=>[10,7,4,8,2,5,9,1,3,6]=>[9,8,1,7,2,3,10,4,5,6]
[[1,5,6],[2,8,9],[3],[4],[7],[10]]=>[10,7,4,3,2,8,9,1,5,6]=>[9,3,4,7,1,5,10,2,8,6]
[[1,2,9],[3,4],[5,6],[7,8],[10]]=>[10,7,8,5,6,3,4,1,2,9]=>[4,1,6,3,8,5,10,7,2,9]
[[1,4,9],[2,6],[3,8],[5],[7],[10]]=>[10,7,5,3,8,2,6,1,4,9]=>[6,8,5,1,7,2,10,3,4,9]
[[1,6,9],[2,8],[3],[4],[5],[7],[10]]=>[10,7,5,4,3,2,8,1,6,9]=>[8,3,4,5,7,1,10,2,6,9]
[[1,8,9],[2],[3],[4],[5],[6],[7],[10]]=>[10,7,6,5,4,3,2,1,8,9]=>[2,3,4,5,6,7,10,1,8,9]
[[1,2,3,6,7,8,9],[4,5]]=>[4,5,1,2,3,6,7,8,9]=>[5,1,2,4,3,6,7,8,9]
[[1,2,5,6,7,8,9],[3],[4]]=>[4,3,1,2,5,6,7,8,9]=>[3,1,4,2,5,6,7,8,9]
[[1,2,3,4,8,9],[5,6,7]]=>[5,6,7,1,2,3,4,8,9]=>[7,1,2,3,5,6,4,8,9]
[[1,2,4,7,8,9],[3,6],[5]]=>[5,3,6,1,2,4,7,8,9]=>[6,1,5,2,3,4,7,8,9]
[[1,2,6,7,8,9],[3],[4],[5]]=>[5,4,3,1,2,6,7,8,9]=>[3,1,4,5,2,6,7,8,9]
[[1,2,4,5,9],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5,9]=>[8,1,6,2,4,3,7,5,9]
[[1,2,3,8,9],[4,5],[6,7]]=>[6,7,4,5,1,2,3,8,9]=>[5,1,2,7,4,6,3,8,9]
[[1,2,5,8,9],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8,9]=>[7,1,4,6,2,3,5,8,9]
[[1,2,7,8,9],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8,9]=>[3,1,4,5,6,2,7,8,9]
[[1,2,5,6],[3,4,8,9],[7]]=>[7,3,4,8,9,1,2,5,6]=>[9,1,7,3,2,5,4,8,6]
[[1,2,3,6],[4,5,9],[7,8]]=>[7,8,4,5,9,1,2,3,6]=>[9,1,2,8,4,3,7,5,6]
[[1,2,5,6],[3,8,9],[4],[7]]=>[7,4,3,8,9,1,2,5,6]=>[9,1,4,7,2,5,3,8,6]
[[1,2,4,9],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4,9]=>[6,1,8,2,7,3,5,4,9]
[[1,2,6,9],[3,8],[4],[5],[7]]=>[7,5,4,3,8,1,2,6,9]=>[8,1,4,5,7,2,3,6,9]
[[1,2,8,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8,9]=>[3,1,4,5,6,7,2,8,9]
[[1,2,4],[3,6,7],[5,9],[8]]=>[8,5,9,3,6,7,1,2,4]=>[7,1,9,2,8,3,6,5,4]
[[1,2,7],[3,6,9],[4],[5],[8]]=>[8,5,4,3,6,9,1,2,7]=>[9,1,4,5,8,3,2,6,7]
[[1,2,5],[3,7],[4,9],[6],[8]]=>[8,6,4,9,3,7,1,2,5]=>[7,1,9,6,2,8,3,4,5]
[[1,2,7],[3,9],[4],[5],[6],[8]]=>[8,6,5,4,3,9,1,2,7]=>[9,1,4,5,6,8,2,3,7]
[[1,2],[3,6],[4,8],[5],[7],[9]]=>[9,7,5,4,8,3,6,1,2]=>[6,1,8,5,7,3,9,4,2]
[[1,2],[3,8],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,8,1,2]=>[8,1,4,5,6,7,9,3,2]
[[1,2,3,6,7,8,9,10],[4,5]]=>[4,5,1,2,3,6,7,8,9,10]=>[5,1,2,4,3,6,7,8,9,10]
[[1,2,5,6,7,8,9,10],[3],[4]]=>[4,3,1,2,5,6,7,8,9,10]=>[3,1,4,2,5,6,7,8,9,10]
[[1,2,3,4,8,9,10],[5,6,7]]=>[5,6,7,1,2,3,4,8,9,10]=>[7,1,2,3,5,6,4,8,9,10]
[[1,2,4,7,8,9,10],[3,6],[5]]=>[5,3,6,1,2,4,7,8,9,10]=>[6,1,5,2,3,4,7,8,9,10]
[[1,2,6,7,8,9,10],[3],[4],[5]]=>[5,4,3,1,2,6,7,8,9,10]=>[3,1,4,5,2,6,7,8,9,10]
[[1,2,4,5,9,10],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5,9,10]=>[8,1,6,2,4,3,7,5,9,10]
[[1,2,3,8,9,10],[4,5],[6,7]]=>[6,7,4,5,1,2,3,8,9,10]=>[5,1,2,7,4,6,3,8,9,10]
[[1,2,5,8,9,10],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8,9,10]=>[7,1,4,6,2,3,5,8,9,10]
[[1,2,7,8,9,10],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8,9,10]=>[3,1,4,5,6,2,7,8,9,10]
[[1,2,4,5,6],[3,8,9,10],[7]]=>[7,3,8,9,10,1,2,4,5,6]=>[10,1,7,2,4,5,3,8,9,6]
[[1,2,3,6,10],[4,5,9],[7,8]]=>[7,8,4,5,9,1,2,3,6,10]=>[9,1,2,8,4,3,7,5,6,10]
[[1,2,5,6,10],[3,8,9],[4],[7]]=>[7,4,3,8,9,1,2,5,6,10]=>[9,1,4,7,2,5,3,8,6,10]
[[1,2,4,9,10],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4,9,10]=>[6,1,8,2,7,3,5,4,9,10]
[[1,2,6,9,10],[3,8],[4],[5],[7]]=>[7,5,4,3,8,1,2,6,9,10]=>[8,1,4,5,7,2,3,6,9,10]
[[1,2,8,9,10],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8,9,10]=>[3,1,4,5,6,7,2,8,9,10]
[[1,2,6,7],[3,5,9,10],[4],[8]]=>[8,4,3,5,9,10,1,2,6,7]=>[10,1,4,8,3,2,6,5,9,7]
[[1,2,4,7],[3,6,10],[5,9],[8]]=>[8,5,9,3,6,10,1,2,4,7]=>[10,1,9,2,8,3,4,5,6,7]
[[1,2,6,7],[3,9,10],[4],[5],[8]]=>[8,5,4,3,9,10,1,2,6,7]=>[10,1,4,5,8,2,6,3,9,7]
[[1,2,5,10],[3,7],[4,9],[6],[8]]=>[8,6,4,9,3,7,1,2,5,10]=>[7,1,9,6,2,8,3,4,5,10]
[[1,2,7,10],[3,9],[4],[5],[6],[8]]=>[8,6,5,4,3,9,1,2,7,10]=>[9,1,4,5,6,8,2,3,7,10]
[[1,2,9,10],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9,10]=>[3,1,4,5,6,7,8,2,9,10]
[[1,2,3],[4,5,8],[6,7],[9,10]]=>[9,10,6,7,4,5,8,1,2,3]=>[8,1,2,7,4,10,6,5,9,3]
[[1,2,5],[3,7,8],[4,10],[6],[9]]=>[9,6,4,10,3,7,8,1,2,5]=>[8,1,10,6,2,9,3,7,4,5]
[[1,2,8],[3,7,10],[4],[5],[6],[9]]=>[9,6,5,4,3,7,10,1,2,8]=>[10,1,4,5,6,9,3,2,7,8]
[[1,2,4],[3,6],[5,8],[7,10],[9]]=>[9,7,10,5,8,3,6,1,2,4]=>[6,1,8,2,10,3,9,5,7,4]
[[1,2,6],[3,8],[4,10],[5],[7],[9]]=>[9,7,5,4,10,3,8,1,2,6]=>[8,1,10,5,7,2,9,3,4,6]
[[1,2,8],[3,10],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,10,1,2,8]=>[10,1,4,5,6,7,9,2,3,8]
[[1,2],[3,5],[4,7],[6,9],[8],[10]]=>[10,8,6,9,4,7,3,5,1,2]=>[5,1,7,9,3,8,4,10,6,2]
[[1,2],[3,7],[4,9],[5],[6],[8],[10]]=>[10,8,6,5,4,9,3,7,1,2]=>[7,1,9,5,6,8,3,10,4,2]
[[1,2],[3,9],[4],[5],[6],[7],[8],[10]]=>[10,8,7,6,5,4,3,9,1,2]=>[9,1,4,5,6,7,8,10,3,2]
[[1,2,3,4,7,8,9],[5,6]]=>[5,6,1,2,3,4,7,8,9]=>[6,1,2,3,5,4,7,8,9]
[[1,2,4,5,8,9],[3,7],[6]]=>[6,3,7,1,2,4,5,8,9]=>[7,1,6,2,4,3,5,8,9]
[[1,2,4,5,6,7],[3,9],[8]]=>[8,3,9,1,2,4,5,6,7]=>[9,1,8,2,4,5,6,3,7]
[[1,2,5,6,9],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6,9]=>[8,1,4,7,2,5,3,6,9]
[[1,2,3,4,7,8],[5,6],[9]]=>[9,5,6,1,2,3,4,7,8]=>[6,1,2,3,9,5,4,7,8]
[[1,2,5,6,7,8],[3],[4],[9]]=>[9,4,3,1,2,5,6,7,8]=>[3,1,4,9,2,5,6,7,8]
[[1,2,4,5],[3,7],[6,9],[8]]=>[8,6,9,3,7,1,2,4,5]=>[7,1,9,2,4,8,3,6,5]
[[1,2,6,7],[3,9],[4],[5],[8]]=>[8,5,4,3,9,1,2,6,7]=>[9,1,4,5,8,2,6,3,7]
[[1,2,5,6],[3,8],[4],[7],[9]]=>[9,7,4,3,8,1,2,5,6]=>[8,1,4,7,2,5,9,3,6]
[[1,2,7,8],[3],[4],[5],[6],[9]]=>[9,6,5,4,3,1,2,7,8]=>[3,1,4,5,6,9,2,7,8]
[[1,2,4,5,8,9,10],[3,7],[6]]=>[6,3,7,1,2,4,5,8,9,10]=>[7,1,6,2,4,3,5,8,9,10]
[[1,2,4,5,6,7],[3,9,10],[8]]=>[8,3,9,10,1,2,4,5,6,7]=>[10,1,8,2,4,5,6,3,9,7]
[[1,2,3,4,9,10],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4,9,10]=>[6,1,2,3,8,5,7,4,9,10]
[[1,2,5,6,9,10],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6,9,10]=>[8,1,4,7,2,5,3,6,9,10]
[[1,2,4,5,6,7,8,9],[3],[10]]=>[10,3,1,2,4,5,6,7,8,9]=>[3,1,10,2,4,5,6,7,8,9]
[[1,2,3,4,7,8],[5,6],[9,10]]=>[9,10,5,6,1,2,3,4,7,8]=>[6,1,2,3,10,5,4,7,9,8]
[[1,2,5,6,7,8],[3,10],[4],[9]]=>[9,4,3,10,1,2,5,6,7,8]=>[10,1,4,9,2,5,6,7,3,8]
[[1,2,4,5,10],[3,7],[6,9],[8]]=>[8,6,9,3,7,1,2,4,5,10]=>[7,1,9,2,4,8,3,6,5,10]
[[1,2,6,7,10],[3,9],[4],[5],[8]]=>[8,5,4,3,9,1,2,6,7,10]=>[9,1,4,5,8,2,6,3,7,10]
[[1,2,4,5,8,9],[3,7],[6],[10]]=>[10,6,3,7,1,2,4,5,8,9]=>[7,1,6,2,4,10,3,5,8,9]
[[1,2,6,7,8,9],[3],[4],[5],[10]]=>[10,5,4,3,1,2,6,7,8,9]=>[3,1,4,5,10,2,6,7,8,9]
[[1,2,5,6],[3,8],[4,10],[7],[9]]=>[9,7,4,10,3,8,1,2,5,6]=>[8,1,10,7,2,5,9,3,4,6]
[[1,2,7,8],[3,10],[4],[5],[6],[9]]=>[9,6,5,4,3,10,1,2,7,8]=>[10,1,4,5,6,9,2,7,3,8]
[[1,2,4,5],[3,7],[6,9],[8],[10]]=>[10,8,6,9,3,7,1,2,4,5]=>[7,1,9,2,4,8,3,10,6,5]
[[1,2,6,7],[3,9],[4],[5],[8],[10]]=>[10,8,5,4,3,9,1,2,6,7]=>[9,1,4,5,8,2,6,10,3,7]
[[1,2,8,9],[3],[4],[5],[6],[7],[10]]=>[10,7,6,5,4,3,1,2,8,9]=>[3,1,4,5,6,7,10,2,8,9]
[[1,3,5,7,9,11,13,15,17],[2,4,6,8,10,12,14,16,18]]=>[2,4,6,8,10,12,14,16,18,1,3,5,7,9,11,13,15,17]=>[18,2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,17]
[[1,3,5,7,9,11,13,15,16],[2,4,6,8,10,12,14,17,18]]=>[2,4,6,8,10,12,14,17,18,1,3,5,7,9,11,13,15,16]=>[18,2,1,4,3,6,5,8,7,10,9,12,11,14,13,15,17,16]
[[1,3,5,7,9,11,13,14,16],[2,4,6,8,10,12,15,17,18]]=>[2,4,6,8,10,12,15,17,18,1,3,5,7,9,11,13,14,16]=>[18,2,1,4,3,6,5,8,7,10,9,12,11,13,15,14,17,16]
[[1,3,5,7,9,11,12,14,16],[2,4,6,8,10,13,15,17,18]]=>[2,4,6,8,10,13,15,17,18,1,3,5,7,9,11,12,14,16]=>[18,2,1,4,3,6,5,8,7,10,9,11,13,12,15,14,17,16]
[[1,3,5,7,9,10,12,14,16],[2,4,6,8,11,13,15,17,18]]=>[2,4,6,8,11,13,15,17,18,1,3,5,7,9,10,12,14,16]=>[18,2,1,4,3,6,5,8,7,9,11,10,13,12,15,14,17,16]
[[1,3,5,7,8,10,12,14,16],[2,4,6,9,11,13,15,17,18]]=>[2,4,6,9,11,13,15,17,18,1,3,5,7,8,10,12,14,16]=>[18,2,1,4,3,6,5,7,9,8,11,10,13,12,15,14,17,16]
[[1,3,5,6,8,10,12,14,16],[2,4,7,9,11,13,15,17,18]]=>[2,4,7,9,11,13,15,17,18,1,3,5,6,8,10,12,14,16]=>[18,2,1,4,3,5,7,6,9,8,11,10,13,12,15,14,17,16]
[[1,3,4,6,8,10,12,14,16],[2,5,7,9,11,13,15,17,18]]=>[2,5,7,9,11,13,15,17,18,1,3,4,6,8,10,12,14,16]=>[18,2,1,3,5,4,7,6,9,8,11,10,13,12,15,14,17,16]
[[1,2,4,6,8,10,12,14,16],[3,5,7,9,11,13,15,17,18]]=>[3,5,7,9,11,13,15,17,18,1,2,4,6,8,10,12,14,16]=>[18,1,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16]
[[1,3,5,7,9,11,13,15,17,19],[2,4,6,8,10,12,14,16,18,20]]=>[2,4,6,8,10,12,14,16,18,20,1,3,5,7,9,11,13,15,17,19]=>[20,2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,19]
[[1,3,5,7,9,11,13,15,17,18],[2,4,6,8,10,12,14,16,19,20]]=>[2,4,6,8,10,12,14,16,19,20,1,3,5,7,9,11,13,15,17,18]=>[20,2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,17,19,18]
[[1,3,5,7,9,11,13,14,15],[2,4,6,8,10,12,16,17,18]]=>[2,4,6,8,10,12,16,17,18,1,3,5,7,9,11,13,14,15]=>[18,2,1,4,3,6,5,8,7,10,9,12,11,13,14,16,17,15]
[[1,3,5,7,9,11,13,15,16,18],[2,4,6,8,10,12,14,17,19,20]]=>[2,4,6,8,10,12,14,17,19,20,1,3,5,7,9,11,13,15,16,18]=>[20,2,1,4,3,6,5,8,7,10,9,12,11,14,13,15,17,16,19,18]
[[1,3,5,7,9,11,12,13,16],[2,4,6,8,10,14,15,17,18]]=>[2,4,6,8,10,14,15,17,18,1,3,5,7,9,11,12,13,16]=>[18,2,1,4,3,6,5,8,7,10,9,11,12,14,15,13,17,16]
[[1,3,5,7,9,11,13,14,16,18],[2,4,6,8,10,12,15,17,19,20]]=>[2,4,6,8,10,12,15,17,19,20,1,3,5,7,9,11,13,14,16,18]=>[20,2,1,4,3,6,5,8,7,10,9,12,11,13,15,14,17,16,19,18]
[[1,3,5,7,9,10,11,14,16],[2,4,6,8,12,13,15,17,18]]=>[2,4,6,8,12,13,15,17,18,1,3,5,7,9,10,11,14,16]=>[18,2,1,4,3,6,5,8,7,9,10,12,13,11,15,14,17,16]
[[1,3,5,7,9,11,12,14,16,18],[2,4,6,8,10,13,15,17,19,20]]=>[2,4,6,8,10,13,15,17,19,20,1,3,5,7,9,11,12,14,16,18]=>[20,2,1,4,3,6,5,8,7,10,9,11,13,12,15,14,17,16,19,18]
[[1,3,5,7,8,9,12,14,16],[2,4,6,10,11,13,15,17,18]]=>[2,4,6,10,11,13,15,17,18,1,3,5,7,8,9,12,14,16]=>[18,2,1,4,3,6,5,7,8,10,11,9,13,12,15,14,17,16]
[[1,3,5,7,9,10,12,14,16,18],[2,4,6,8,11,13,15,17,19,20]]=>[2,4,6,8,11,13,15,17,19,20,1,3,5,7,9,10,12,14,16,18]=>[20,2,1,4,3,6,5,8,7,9,11,10,13,12,15,14,17,16,19,18]
[[1,3,5,6,7,10,12,14,16],[2,4,8,9,11,13,15,17,18]]=>[2,4,8,9,11,13,15,17,18,1,3,5,6,7,10,12,14,16]=>[18,2,1,4,3,5,6,8,9,7,11,10,13,12,15,14,17,16]
[[1,3,5,7,8,10,12,14,16,18],[2,4,6,9,11,13,15,17,19,20]]=>[2,4,6,9,11,13,15,17,19,20,1,3,5,7,8,10,12,14,16,18]=>[20,2,1,4,3,6,5,7,9,8,11,10,13,12,15,14,17,16,19,18]
[[1,3,4,5,8,10,12,14,16],[2,6,7,9,11,13,15,17,18]]=>[2,6,7,9,11,13,15,17,18,1,3,4,5,8,10,12,14,16]=>[18,2,1,3,4,6,7,5,9,8,11,10,13,12,15,14,17,16]
[[1,3,5,6,8,10,12,14,16,18],[2,4,7,9,11,13,15,17,19,20]]=>[2,4,7,9,11,13,15,17,19,20,1,3,5,6,8,10,12,14,16,18]=>[20,2,1,4,3,5,7,6,9,8,11,10,13,12,15,14,17,16,19,18]
[[1,2,3,6,8,10,12,14,16],[4,5,7,9,11,13,15,17,18]]=>[4,5,7,9,11,13,15,17,18,1,2,3,6,8,10,12,14,16]=>[18,1,2,4,5,3,7,6,9,8,11,10,13,12,15,14,17,16]
[[1,3,4,6,8,10,12,14,16,18],[2,5,7,9,11,13,15,17,19,20]]=>[2,5,7,9,11,13,15,17,19,20,1,3,4,6,8,10,12,14,16,18]=>[20,2,1,3,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18]
[[1,2,4,6,8,10,12,14,16,18],[3,5,7,9,11,13,15,17,19,20]]=>[3,5,7,9,11,13,15,17,19,20,1,2,4,6,8,10,12,14,16,18]=>[20,1,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18]
[[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16,18]]=>[9,10,11,12,13,14,15,16,18,1,2,3,4,5,6,7,8,17]=>[18,1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,8,17]
[[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]]=>[2,11,12,13,14,15,16,17,18,1,3,4,5,6,7,8,9,10]=>[18,2,1,3,4,5,6,7,8,9,11,12,13,14,15,16,17,10]
[[1,2,3,4,5,6,7,8,9,19],[10,11,12,13,14,15,16,17,18,20]]=>[10,11,12,13,14,15,16,17,18,20,1,2,3,4,5,6,7,8,9,19]=>[20,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,9,19]
[[1,2,3,4,5,6,7,9,17],[8,10,11,12,13,14,15,16,18]]=>[8,10,11,12,13,14,15,16,18,1,2,3,4,5,6,7,9,17]=>[18,1,2,3,4,5,6,8,7,10,11,12,13,14,15,16,9,17]
[[1,3,4,5,6,7,8,9,11],[2,10,12,13,14,15,16,17,18]]=>[2,10,12,13,14,15,16,17,18,1,3,4,5,6,7,8,9,11]=>[18,2,1,3,4,5,6,7,8,10,9,12,13,14,15,16,17,11]
[[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]]=>[2,12,13,14,15,16,17,18,19,20,1,3,4,5,6,7,8,9,10,11]=>[20,2,1,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,11]
[[1,2,3,4,5,6,7,8,9,10,21],[11,12,13,14,15,16,17,18,19,20,22]]=>[11,12,13,14,15,16,17,18,19,20,22,1,2,3,4,5,6,7,8,9,10,21]=>[22,1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,10,21]
[[1,2,3,4,5,6,7,8,10,19],[9,11,12,13,14,15,16,17,18,20]]=>[9,11,12,13,14,15,16,17,18,20,1,2,3,4,5,6,7,8,10,19]=>[20,1,2,3,4,5,6,7,9,8,11,12,13,14,15,16,17,18,10,19]
[[1,2,3,4,5,6,7,10,17],[8,9,11,12,13,14,15,16,18]]=>[8,9,11,12,13,14,15,16,18,1,2,3,4,5,6,7,10,17]=>[18,1,2,3,4,5,6,8,9,7,11,12,13,14,15,16,10,17]
[[1,2,3,4,5,6,8,9,17],[7,10,11,12,13,14,15,16,18]]=>[7,10,11,12,13,14,15,16,18,1,2,3,4,5,6,8,9,17]=>[18,1,2,3,4,5,7,6,8,10,11,12,13,14,15,16,9,17]
[[1,3,4,5,6,7,8,9,12],[2,10,11,13,14,15,16,17,18]]=>[2,10,11,13,14,15,16,17,18,1,3,4,5,6,7,8,9,12]=>[18,2,1,3,4,5,6,7,8,10,11,9,13,14,15,16,17,12]
[[1,3,4,5,6,7,8,10,11],[2,9,12,13,14,15,16,17,18]]=>[2,9,12,13,14,15,16,17,18,1,3,4,5,6,7,8,10,11]=>[18,2,1,3,4,5,6,7,9,8,10,12,13,14,15,16,17,11]
[[1,3,4,5,6,7,8,9,10,12],[2,11,13,14,15,16,17,18,19,20]]=>[2,11,13,14,15,16,17,18,19,20,1,3,4,5,6,7,8,9,10,12]=>[20,2,1,3,4,5,6,7,8,9,11,10,13,14,15,16,17,18,19,12]
[[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]]=>[2,13,14,15,16,17,18,19,20,21,22,1,3,4,5,6,7,8,9,10,11,12]=>[22,2,1,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,12]
[[1,7,11],[2,8,12],[3,9],[4,10],[5],[6]]=>[6,5,4,10,3,9,2,8,12,1,7,11]=>[12,9,10,5,6,4,1,2,3,8,7,11]
[[1,5,9,11],[2,6,10,12],[3,7],[4,8]]=>[4,8,3,7,2,6,10,12,1,5,9,11]=>[12,7,8,4,1,2,3,6,5,10,9,11]
[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,9,10,4]
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,8,9,10,5]
[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]=>[10,9,7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,9,1,10,8]
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]]=>[10,9,8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,9,10,7]
[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]]=>[10,9,8,7,5,4,3,2,1,6]=>[2,3,4,5,7,1,8,9,10,6]
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,9,10,11,12,3]
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,8,9,10,11,12,5]
[[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]]=>[12,10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,12,1,11]
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10],[11],[12]]=>[12,11,10,8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,10,1,11,12,9]
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,9,10,11,12,7]
[[1,2],[3,5],[4],[6],[7],[8],[9]]=>[9,8,7,6,4,3,5,1,2]=>[5,1,4,6,3,7,8,9,2]
[[1,2,4],[3],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,3,1,2,4]=>[3,1,5,2,6,7,8,9,4]
[[1,2,3,5],[4],[6],[7],[8],[9]]=>[9,8,7,6,4,1,2,3,5]=>[4,1,2,6,3,7,8,9,5]
[[1,2],[3,4],[5,6],[7,9],[8]]=>[8,7,9,5,6,3,4,1,2]=>[4,1,6,3,9,5,8,7,2]
[[1,2,3,4,6],[5],[7],[8],[9]]=>[9,8,7,5,1,2,3,4,6]=>[5,1,2,3,7,4,8,9,6]
[[1,2,3,4,5,7],[6],[8],[9]]=>[9,8,6,1,2,3,4,5,7]=>[6,1,2,3,4,8,5,9,7]
[[1,2,3,4,5,6,8],[7],[9]]=>[9,7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,9,6,8]
[[1,2,3,4,5,7,9],[6,8]]=>[6,8,1,2,3,4,5,7,9]=>[8,1,2,3,4,6,5,7,9]
[[1,2,3,4,5,7,10],[6,9],[8]]=>[8,6,9,1,2,3,4,5,7,10]=>[9,1,2,3,4,8,5,6,7,10]
[[1,3,10],[2],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,1,3,10]=>[2,4,1,5,6,7,8,9,3,10]
[[1,5,8],[2,7],[3,9],[4],[6]]=>[6,4,3,9,2,7,1,5,8]=>[7,9,4,6,1,3,2,5,8]
[[1,3,5,7,9],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7,9]=>[8,4,1,2,3,6,5,7,9]
[[1,6,9],[2,8],[3,10],[4],[5],[7]]=>[7,5,4,3,10,2,8,1,6,9]=>[8,10,4,5,7,1,3,2,6,9]
[[1,3,5,7,9],[2,6,8,10],[4]]=>[4,2,6,8,10,1,3,5,7,9]=>[10,4,1,2,3,6,5,8,7,9]
[[1,3,7],[2,4,8],[5,9],[6,10],[11],[12]]=>[12,11,6,10,5,9,2,4,8,1,3,7]=>[8,9,1,2,10,11,3,4,5,6,12,7]
[[1,7],[2,8],[3],[4],[5],[6],[9]]=>[9,6,5,4,3,2,8,1,7]=>[8,3,4,5,6,9,1,2,7]
[[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>[9,1,3,2,4,5,6,7,8]
[[1,2,4,5,6,7,8,9],[3,10]]=>[3,10,1,2,4,5,6,7,8,9]=>[10,1,3,2,4,5,6,7,8,9]
[[1,2],[3,9],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,9,1,2]=>[9,1,4,5,6,7,8,3,2]
[[1,2,3,4,5,6],[7,9],[8]]=>[8,7,9,1,2,3,4,5,6]=>[9,1,2,3,4,5,8,7,6]
[[1,2,3,4,5,7],[6,8,9]]=>[6,8,9,1,2,3,4,5,7]=>[9,1,2,3,4,6,5,8,7]
[[1,2,3,4,5,6,7],[8,10],[9]]=>[9,8,10,1,2,3,4,5,6,7]=>[10,1,2,3,4,5,6,9,8,7]
[[1,2,3,4,5,6,8],[7,9,10]]=>[7,9,10,1,2,3,4,5,6,8]=>[10,1,2,3,4,5,7,6,9,8]
[[1,3,5,9],[2,4,6,10],[7,11],[8,12]]=>[8,12,7,11,2,4,6,10,1,3,5,9]=>[10,11,1,2,3,4,12,8,5,6,7,9]
[[1,3,4,5,6,7,9],[2,8]]=>[2,8,1,3,4,5,6,7,9]=>[8,2,1,3,4,5,6,7,9]
[[1,3,4,5,6,7,8,10],[2,9]]=>[2,9,1,3,4,5,6,7,8,10]=>[9,2,1,3,4,5,6,7,8,10]
[[1,2,3,4,5,8],[6,9],[7]]=>[7,6,9,1,2,3,4,5,8]=>[9,1,2,3,4,7,6,5,8]
[[1,2,3,4,5,6,8,9],[7,10]]=>[7,10,1,2,3,4,5,6,8,9]=>[10,1,2,3,4,5,7,6,8,9]
[[1,2,3,4,6],[5,7,8,9]]=>[5,7,8,9,1,2,3,4,6]=>[9,1,2,3,5,4,7,8,6]
[[1,2,3,4,5,6,8],[7,10],[9]]=>[9,7,10,1,2,3,4,5,6,8]=>[10,1,2,3,4,5,9,6,7,8]
[[1,2,3,4,5,7,8],[6,9]]=>[6,9,1,2,3,4,5,7,8]=>[9,1,2,3,4,6,5,7,8]
[[1,5,7,9,11],[2,6,8,10,12],[3],[4]]=>[4,3,2,6,8,10,12,1,5,7,9,11]=>[12,3,4,2,1,6,5,8,7,10,9,11]
[[1,2,4,5,6,7],[3,8,9]]=>[3,8,9,1,2,4,5,6,7]=>[9,1,3,2,4,5,6,8,7]
[[1,2,4,5,6,7,8],[3,9,10]]=>[3,9,10,1,2,4,5,6,7,8]=>[10,1,3,2,4,5,6,7,9,8]
[[1,3,4,5,6,7,8,10],[2],[9]]=>[9,2,1,3,4,5,6,7,8,10]=>[2,9,1,3,4,5,6,7,8,10]
[[1,3,6,7],[2,5,10],[4,9],[8]]=>[8,4,9,2,5,10,1,3,6,7]=>[10,9,1,8,2,3,6,4,5,7]
[[1,3,6,7],[2,5,9,10],[4],[8]]=>[8,4,2,5,9,10,1,3,6,7]=>[10,4,1,8,2,3,6,5,9,7]
[[1,3,4,5,6,7],[2,9,10,11,12],[8]]=>[8,2,9,10,11,12,1,3,4,5,6,7]=>[12,8,1,3,4,5,6,2,9,10,11,7]
[[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>[9,3,2,1,4,5,6,7,8]
[[1,2,5,6,7],[3,4,8],[9]]=>[9,3,4,8,1,2,5,6,7]=>[8,1,9,3,2,5,6,4,7]
[[1,7,8],[2,9],[3],[4],[5],[6]]=>[6,5,4,3,2,9,1,7,8]=>[9,3,4,5,6,2,1,7,8]
[[1,8,9],[2,10],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,10,1,8,9]=>[10,3,4,5,6,7,2,1,8,9]
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottom-most row in English notation.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
searching the database
Sorry, this map was not found in the database.