Identifier
Mp00153:
Standard tableaux
—inverse promotion⟶
Standard tableaux
Mp00081: Standard tableaux —reading word permutation⟶ Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
Mp00081: Standard tableaux —reading word permutation⟶ Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
Images
=>
Cc0007;cc-rep-0Cc0007;cc-rep-1
[[1]]=>[[1]]=>[1]=>[1]
[[1,2]]=>[[1,2]]=>[1,2]=>[2]
[[1],[2]]=>[[1],[2]]=>[2,1]=>[1,1]
[[1,2,3]]=>[[1,2,3]]=>[1,2,3]=>[3]
[[1,3],[2]]=>[[1,2],[3]]=>[3,1,2]=>[1,2]
[[1,2],[3]]=>[[1,3],[2]]=>[2,1,3]=>[1,2]
[[1],[2],[3]]=>[[1],[2],[3]]=>[3,2,1]=>[1,1,1]
[[1,2,3,4]]=>[[1,2,3,4]]=>[1,2,3,4]=>[4]
[[1,3,4],[2]]=>[[1,2,3],[4]]=>[4,1,2,3]=>[1,3]
[[1,2,4],[3]]=>[[1,3,4],[2]]=>[2,1,3,4]=>[1,3]
[[1,2,3],[4]]=>[[1,2,4],[3]]=>[3,1,2,4]=>[1,3]
[[1,3],[2,4]]=>[[1,2],[3,4]]=>[3,4,1,2]=>[2,2]
[[1,2],[3,4]]=>[[1,3],[2,4]]=>[2,4,1,3]=>[2,2]
[[1,4],[2],[3]]=>[[1,3],[2],[4]]=>[4,2,1,3]=>[1,1,2]
[[1,3],[2],[4]]=>[[1,2],[3],[4]]=>[4,3,1,2]=>[1,1,2]
[[1,2],[3],[4]]=>[[1,4],[2],[3]]=>[3,2,1,4]=>[1,1,2]
[[1],[2],[3],[4]]=>[[1],[2],[3],[4]]=>[4,3,2,1]=>[1,1,1,1]
[[1,2,3,4,5]]=>[[1,2,3,4,5]]=>[1,2,3,4,5]=>[5]
[[1,3,4,5],[2]]=>[[1,2,3,4],[5]]=>[5,1,2,3,4]=>[1,4]
[[1,2,4,5],[3]]=>[[1,3,4,5],[2]]=>[2,1,3,4,5]=>[1,4]
[[1,2,3,5],[4]]=>[[1,2,4,5],[3]]=>[3,1,2,4,5]=>[1,4]
[[1,2,3,4],[5]]=>[[1,2,3,5],[4]]=>[4,1,2,3,5]=>[1,4]
[[1,3,5],[2,4]]=>[[1,2,4],[3,5]]=>[3,5,1,2,4]=>[2,3]
[[1,2,5],[3,4]]=>[[1,3,4],[2,5]]=>[2,5,1,3,4]=>[2,3]
[[1,3,4],[2,5]]=>[[1,2,3],[4,5]]=>[4,5,1,2,3]=>[2,3]
[[1,2,4],[3,5]]=>[[1,3,5],[2,4]]=>[2,4,1,3,5]=>[2,3]
[[1,2,3],[4,5]]=>[[1,2,5],[3,4]]=>[3,4,1,2,5]=>[2,3]
[[1,4,5],[2],[3]]=>[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[1,1,3]
[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[1,1,3]
[[1,2,5],[3],[4]]=>[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[1,1,3]
[[1,3,4],[2],[5]]=>[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[1,1,3]
[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[1,1,3]
[[1,2,3],[4],[5]]=>[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[1,1,3]
[[1,4],[2,5],[3]]=>[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>[1,2,2]
[[1,3],[2,5],[4]]=>[[1,2],[3,4],[5]]=>[5,3,4,1,2]=>[1,2,2]
[[1,2],[3,5],[4]]=>[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[1,2,2]
[[1,3],[2,4],[5]]=>[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>[1,2,2]
[[1,2],[3,4],[5]]=>[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>[1,2,2]
[[1,5],[2],[3],[4]]=>[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>[1,1,1,2]
[[1,4],[2],[3],[5]]=>[[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>[1,1,1,2]
[[1,3],[2],[4],[5]]=>[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>[1,1,1,2]
[[1,2],[3],[4],[5]]=>[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[1,1,1,2]
[[1],[2],[3],[4],[5]]=>[[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>[1,1,1,1,1]
[[1,2,3,4,5,6]]=>[[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[6]
[[1,3,4,5,6],[2]]=>[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[1,5]
[[1,2,4,5,6],[3]]=>[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>[1,5]
[[1,2,3,5,6],[4]]=>[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[1,5]
[[1,2,3,4,6],[5]]=>[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[1,5]
[[1,2,3,4,5],[6]]=>[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[1,5]
[[1,3,5,6],[2,4]]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[2,4]
[[1,2,5,6],[3,4]]=>[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>[2,4]
[[1,3,4,6],[2,5]]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[2,4]
[[1,2,4,6],[3,5]]=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[2,4]
[[1,2,3,6],[4,5]]=>[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[2,4]
[[1,3,4,5],[2,6]]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[2,4]
[[1,2,4,5],[3,6]]=>[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[2,4]
[[1,2,3,5],[4,6]]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[2,4]
[[1,2,3,4],[5,6]]=>[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>[2,4]
[[1,4,5,6],[2],[3]]=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[1,1,4]
[[1,3,5,6],[2],[4]]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[1,1,4]
[[1,2,5,6],[3],[4]]=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[1,1,4]
[[1,3,4,6],[2],[5]]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[1,1,4]
[[1,2,4,6],[3],[5]]=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[1,1,4]
[[1,2,3,6],[4],[5]]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[1,1,4]
[[1,3,4,5],[2],[6]]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[1,1,4]
[[1,2,4,5],[3],[6]]=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[1,1,4]
[[1,2,3,5],[4],[6]]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[1,1,4]
[[1,2,3,4],[5],[6]]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[1,1,4]
[[1,3,5],[2,4,6]]=>[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>[3,3]
[[1,2,5],[3,4,6]]=>[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[3,3]
[[1,3,4],[2,5,6]]=>[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>[3,3]
[[1,2,4],[3,5,6]]=>[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[3,3]
[[1,2,3],[4,5,6]]=>[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[3,3]
[[1,4,6],[2,5],[3]]=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[1,2,3]
[[1,3,6],[2,5],[4]]=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[1,2,3]
[[1,2,6],[3,5],[4]]=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[1,2,3]
[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[1,2,3]
[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[1,2,3]
[[1,4,5],[2,6],[3]]=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[1,2,3]
[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[1,2,3]
[[1,2,5],[3,6],[4]]=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[1,2,3]
[[1,3,4],[2,6],[5]]=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>[1,2,3]
[[1,2,4],[3,6],[5]]=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[1,2,3]
[[1,2,3],[4,6],[5]]=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[1,2,3]
[[1,3,5],[2,4],[6]]=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[1,2,3]
[[1,2,5],[3,4],[6]]=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[1,2,3]
[[1,3,4],[2,5],[6]]=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[1,2,3]
[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[1,2,3]
[[1,2,3],[4,5],[6]]=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[1,2,3]
[[1,5,6],[2],[3],[4]]=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[1,1,1,3]
[[1,4,6],[2],[3],[5]]=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[1,1,1,3]
[[1,3,6],[2],[4],[5]]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[1,1,1,3]
[[1,2,6],[3],[4],[5]]=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[1,1,1,3]
[[1,4,5],[2],[3],[6]]=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[1,1,1,3]
[[1,3,5],[2],[4],[6]]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[1,1,1,3]
[[1,2,5],[3],[4],[6]]=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[1,1,1,3]
[[1,3,4],[2],[5],[6]]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[1,1,1,3]
[[1,2,4],[3],[5],[6]]=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[1,1,1,3]
[[1,2,3],[4],[5],[6]]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[1,1,1,3]
[[1,4],[2,5],[3,6]]=>[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[2,2,2]
[[1,3],[2,5],[4,6]]=>[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>[2,2,2]
[[1,2],[3,5],[4,6]]=>[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[2,2,2]
[[1,3],[2,4],[5,6]]=>[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[2,2,2]
[[1,2],[3,4],[5,6]]=>[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[2,2,2]
[[1,5],[2,6],[3],[4]]=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[1,1,2,2]
[[1,4],[2,6],[3],[5]]=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[1,1,2,2]
[[1,3],[2,6],[4],[5]]=>[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[1,1,2,2]
[[1,2],[3,6],[4],[5]]=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[1,1,2,2]
[[1,4],[2,5],[3],[6]]=>[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[1,1,2,2]
[[1,3],[2,5],[4],[6]]=>[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>[1,1,2,2]
[[1,2],[3,5],[4],[6]]=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[1,1,2,2]
[[1,3],[2,4],[5],[6]]=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[1,1,2,2]
[[1,2],[3,4],[5],[6]]=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[1,1,2,2]
[[1,6],[2],[3],[4],[5]]=>[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[1,1,1,1,2]
[[1,5],[2],[3],[4],[6]]=>[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[1,1,1,1,2]
[[1,4],[2],[3],[5],[6]]=>[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[1,1,1,1,2]
[[1,3],[2],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[1,1,1,1,2]
[[1,2],[3],[4],[5],[6]]=>[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[1,1,1,1,2]
[[1],[2],[3],[4],[5],[6]]=>[[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>[1,1,1,1,1,1]
[[1,2,3,4,5,6,7]]=>[[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>[7]
[[1,3,4,5,6,7],[2]]=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>[1,6]
[[1,2,4,5,6,7],[3]]=>[[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>[1,6]
[[1,2,3,5,6,7],[4]]=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>[1,6]
[[1,2,3,4,6,7],[5]]=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>[1,6]
[[1,2,3,4,5,7],[6]]=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>[1,6]
[[1,2,3,4,5,6],[7]]=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>[1,6]
[[1,3,5,6,7],[2,4]]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>[2,5]
[[1,2,5,6,7],[3,4]]=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>[2,5]
[[1,3,4,6,7],[2,5]]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>[2,5]
[[1,2,4,6,7],[3,5]]=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>[2,5]
[[1,2,3,6,7],[4,5]]=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>[2,5]
[[1,3,4,5,7],[2,6]]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>[2,5]
[[1,2,4,5,7],[3,6]]=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>[2,5]
[[1,2,3,5,7],[4,6]]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>[2,5]
[[1,2,3,4,7],[5,6]]=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>[2,5]
[[1,3,4,5,6],[2,7]]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>[2,5]
[[1,2,4,5,6],[3,7]]=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>[2,5]
[[1,2,3,5,6],[4,7]]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>[2,5]
[[1,2,3,4,6],[5,7]]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>[2,5]
[[1,2,3,4,5],[6,7]]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>[2,5]
[[1,4,5,6,7],[2],[3]]=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>[1,1,5]
[[1,3,5,6,7],[2],[4]]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>[1,1,5]
[[1,2,5,6,7],[3],[4]]=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>[1,1,5]
[[1,3,4,6,7],[2],[5]]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>[1,1,5]
[[1,2,4,6,7],[3],[5]]=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>[1,1,5]
[[1,2,3,6,7],[4],[5]]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>[1,1,5]
[[1,3,4,5,7],[2],[6]]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>[1,1,5]
[[1,2,4,5,7],[3],[6]]=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>[1,1,5]
[[1,2,3,5,7],[4],[6]]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>[1,1,5]
[[1,2,3,4,7],[5],[6]]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>[1,1,5]
[[1,3,4,5,6],[2],[7]]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>[1,1,5]
[[1,2,4,5,6],[3],[7]]=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>[1,1,5]
[[1,2,3,5,6],[4],[7]]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>[1,1,5]
[[1,2,3,4,6],[5],[7]]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>[1,1,5]
[[1,2,3,4,5],[6],[7]]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>[1,1,5]
[[1,3,5,7],[2,4,6]]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>[3,4]
[[1,2,5,7],[3,4,6]]=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>[3,4]
[[1,3,4,7],[2,5,6]]=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>[3,4]
[[1,2,4,7],[3,5,6]]=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>[3,4]
[[1,2,3,7],[4,5,6]]=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>[3,4]
[[1,3,5,6],[2,4,7]]=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>[3,4]
[[1,2,5,6],[3,4,7]]=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>[3,4]
[[1,3,4,6],[2,5,7]]=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>[3,4]
[[1,2,4,6],[3,5,7]]=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[3,4]
[[1,2,3,6],[4,5,7]]=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>[3,4]
[[1,3,4,5],[2,6,7]]=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>[3,4]
[[1,2,4,5],[3,6,7]]=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>[3,4]
[[1,2,3,5],[4,6,7]]=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>[3,4]
[[1,2,3,4],[5,6,7]]=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>[3,4]
[[1,4,6,7],[2,5],[3]]=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>[1,2,4]
[[1,3,6,7],[2,5],[4]]=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>[1,2,4]
[[1,2,6,7],[3,5],[4]]=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>[1,2,4]
[[1,3,6,7],[2,4],[5]]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>[1,2,4]
[[1,2,6,7],[3,4],[5]]=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>[1,2,4]
[[1,4,5,7],[2,6],[3]]=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>[1,2,4]
[[1,3,5,7],[2,6],[4]]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>[1,2,4]
[[1,2,5,7],[3,6],[4]]=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[1,2,4]
[[1,3,4,7],[2,6],[5]]=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>[1,2,4]
[[1,2,4,7],[3,6],[5]]=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[1,2,4]
[[1,2,3,7],[4,6],[5]]=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>[1,2,4]
[[1,3,5,7],[2,4],[6]]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>[1,2,4]
[[1,2,5,7],[3,4],[6]]=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>[1,2,4]
[[1,3,4,7],[2,5],[6]]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>[1,2,4]
[[1,2,4,7],[3,5],[6]]=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>[1,2,4]
[[1,2,3,7],[4,5],[6]]=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>[1,2,4]
[[1,4,5,6],[2,7],[3]]=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>[1,2,4]
[[1,3,5,6],[2,7],[4]]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>[1,2,4]
[[1,2,5,6],[3,7],[4]]=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>[1,2,4]
[[1,3,4,6],[2,7],[5]]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>[1,2,4]
[[1,2,4,6],[3,7],[5]]=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>[1,2,4]
[[1,2,3,6],[4,7],[5]]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>[1,2,4]
[[1,3,4,5],[2,7],[6]]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>[1,2,4]
[[1,2,4,5],[3,7],[6]]=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>[1,2,4]
[[1,2,3,5],[4,7],[6]]=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>[1,2,4]
[[1,2,3,4],[5,7],[6]]=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>[1,2,4]
[[1,3,5,6],[2,4],[7]]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>[1,2,4]
[[1,2,5,6],[3,4],[7]]=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>[1,2,4]
[[1,3,4,6],[2,5],[7]]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>[1,2,4]
[[1,2,4,6],[3,5],[7]]=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>[1,2,4]
[[1,2,3,6],[4,5],[7]]=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>[1,2,4]
[[1,3,4,5],[2,6],[7]]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>[1,2,4]
[[1,2,4,5],[3,6],[7]]=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>[1,2,4]
[[1,2,3,5],[4,6],[7]]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>[1,2,4]
[[1,2,3,4],[5,6],[7]]=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>[1,2,4]
[[1,5,6,7],[2],[3],[4]]=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>[1,1,1,4]
[[1,4,6,7],[2],[3],[5]]=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>[1,1,1,4]
[[1,3,6,7],[2],[4],[5]]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>[1,1,1,4]
[[1,2,6,7],[3],[4],[5]]=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>[1,1,1,4]
[[1,4,5,7],[2],[3],[6]]=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>[1,1,1,4]
[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>[1,1,1,4]
[[1,2,5,7],[3],[4],[6]]=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>[1,1,1,4]
[[1,3,4,7],[2],[5],[6]]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>[1,1,1,4]
[[1,2,4,7],[3],[5],[6]]=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>[1,1,1,4]
[[1,2,3,7],[4],[5],[6]]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>[1,1,1,4]
[[1,4,5,6],[2],[3],[7]]=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>[1,1,1,4]
[[1,3,5,6],[2],[4],[7]]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>[1,1,1,4]
[[1,2,5,6],[3],[4],[7]]=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>[1,1,1,4]
[[1,3,4,6],[2],[5],[7]]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>[1,1,1,4]
[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>[1,1,1,4]
[[1,2,3,6],[4],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>[1,1,1,4]
[[1,3,4,5],[2],[6],[7]]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>[1,1,1,4]
[[1,2,4,5],[3],[6],[7]]=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>[1,1,1,4]
[[1,2,3,5],[4],[6],[7]]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>[1,1,1,4]
[[1,2,3,4],[5],[6],[7]]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>[1,1,1,4]
[[1,4,6],[2,5,7],[3]]=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>[1,3,3]
[[1,3,6],[2,5,7],[4]]=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>[1,3,3]
[[1,2,6],[3,5,7],[4]]=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>[1,3,3]
[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>[1,3,3]
[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>[1,3,3]
[[1,4,5],[2,6,7],[3]]=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>[1,3,3]
[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>[1,3,3]
[[1,2,5],[3,6,7],[4]]=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[1,3,3]
[[1,3,4],[2,6,7],[5]]=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>[1,3,3]
[[1,2,4],[3,6,7],[5]]=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[1,3,3]
[[1,2,3],[4,6,7],[5]]=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>[1,3,3]
[[1,3,5],[2,4,7],[6]]=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>[1,3,3]
[[1,2,5],[3,4,7],[6]]=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>[1,3,3]
[[1,3,4],[2,5,7],[6]]=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>[1,3,3]
[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>[1,3,3]
[[1,2,3],[4,5,7],[6]]=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>[1,3,3]
[[1,3,5],[2,4,6],[7]]=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>[1,3,3]
[[1,2,5],[3,4,6],[7]]=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>[1,3,3]
[[1,3,4],[2,5,6],[7]]=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>[1,3,3]
[[1,2,4],[3,5,6],[7]]=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>[1,3,3]
[[1,2,3],[4,5,6],[7]]=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>[1,3,3]
[[1,4,7],[2,5],[3,6]]=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>[2,2,3]
[[1,3,7],[2,5],[4,6]]=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>[2,2,3]
[[1,2,7],[3,5],[4,6]]=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[2,2,3]
[[1,3,7],[2,4],[5,6]]=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>[2,2,3]
[[1,2,7],[3,4],[5,6]]=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[2,2,3]
[[1,4,6],[2,5],[3,7]]=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>[2,2,3]
[[1,3,6],[2,5],[4,7]]=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>[2,2,3]
[[1,2,6],[3,5],[4,7]]=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>[2,2,3]
[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>[2,2,3]
[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>[2,2,3]
[[1,4,5],[2,6],[3,7]]=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>[2,2,3]
[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>[2,2,3]
[[1,2,5],[3,6],[4,7]]=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3]
[[1,3,4],[2,6],[5,7]]=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>[2,2,3]
[[1,2,4],[3,6],[5,7]]=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,2,3]
[[1,2,3],[4,6],[5,7]]=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>[2,2,3]
[[1,3,5],[2,4],[6,7]]=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>[2,2,3]
[[1,2,5],[3,4],[6,7]]=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>[2,2,3]
[[1,3,4],[2,5],[6,7]]=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>[2,2,3]
[[1,2,4],[3,5],[6,7]]=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>[2,2,3]
[[1,2,3],[4,5],[6,7]]=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>[2,2,3]
[[1,5,7],[2,6],[3],[4]]=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,1,2,3]
[[1,4,7],[2,6],[3],[5]]=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[1,1,2,3]
[[1,3,7],[2,6],[4],[5]]=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>[1,1,2,3]
[[1,2,7],[3,6],[4],[5]]=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[1,1,2,3]
[[1,4,7],[2,5],[3],[6]]=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>[1,1,2,3]
[[1,3,7],[2,5],[4],[6]]=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>[1,1,2,3]
[[1,2,7],[3,5],[4],[6]]=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[1,1,2,3]
[[1,3,7],[2,4],[5],[6]]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>[1,1,2,3]
[[1,2,7],[3,4],[5],[6]]=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>[1,1,2,3]
[[1,5,6],[2,7],[3],[4]]=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>[1,1,2,3]
[[1,4,6],[2,7],[3],[5]]=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>[1,1,2,3]
[[1,3,6],[2,7],[4],[5]]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>[1,1,2,3]
[[1,2,6],[3,7],[4],[5]]=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3]
[[1,4,5],[2,7],[3],[6]]=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>[1,1,2,3]
[[1,3,5],[2,7],[4],[6]]=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>[1,1,2,3]
[[1,2,5],[3,7],[4],[6]]=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3]
[[1,3,4],[2,7],[5],[6]]=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>[1,1,2,3]
[[1,2,4],[3,7],[5],[6]]=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[1,1,2,3]
[[1,2,3],[4,7],[5],[6]]=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>[1,1,2,3]
[[1,4,6],[2,5],[3],[7]]=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>[1,1,2,3]
[[1,3,6],[2,5],[4],[7]]=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>[1,1,2,3]
[[1,2,6],[3,5],[4],[7]]=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[1,1,2,3]
[[1,3,6],[2,4],[5],[7]]=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>[1,1,2,3]
[[1,2,6],[3,4],[5],[7]]=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>[1,1,2,3]
[[1,4,5],[2,6],[3],[7]]=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>[1,1,2,3]
[[1,3,5],[2,6],[4],[7]]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>[1,1,2,3]
[[1,2,5],[3,6],[4],[7]]=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[1,1,2,3]
[[1,3,4],[2,6],[5],[7]]=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>[1,1,2,3]
[[1,2,4],[3,6],[5],[7]]=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[1,1,2,3]
[[1,2,3],[4,6],[5],[7]]=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>[1,1,2,3]
[[1,3,5],[2,4],[6],[7]]=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>[1,1,2,3]
[[1,2,5],[3,4],[6],[7]]=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>[1,1,2,3]
[[1,3,4],[2,5],[6],[7]]=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>[1,1,2,3]
[[1,2,4],[3,5],[6],[7]]=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>[1,1,2,3]
[[1,2,3],[4,5],[6],[7]]=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>[1,1,2,3]
[[1,6,7],[2],[3],[4],[5]]=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>[1,1,1,1,3]
[[1,5,7],[2],[3],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>[1,1,1,1,3]
[[1,4,7],[2],[3],[5],[6]]=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>[1,1,1,1,3]
[[1,3,7],[2],[4],[5],[6]]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>[1,1,1,1,3]
[[1,2,7],[3],[4],[5],[6]]=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>[1,1,1,1,3]
[[1,5,6],[2],[3],[4],[7]]=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>[1,1,1,1,3]
[[1,4,6],[2],[3],[5],[7]]=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>[1,1,1,1,3]
[[1,3,6],[2],[4],[5],[7]]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>[1,1,1,1,3]
[[1,2,6],[3],[4],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>[1,1,1,1,3]
[[1,4,5],[2],[3],[6],[7]]=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>[1,1,1,1,3]
[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>[1,1,1,1,3]
[[1,2,5],[3],[4],[6],[7]]=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>[1,1,1,1,3]
[[1,3,4],[2],[5],[6],[7]]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>[1,1,1,1,3]
[[1,2,4],[3],[5],[6],[7]]=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>[1,1,1,1,3]
[[1,2,3],[4],[5],[6],[7]]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>[1,1,1,1,3]
[[1,5],[2,6],[3,7],[4]]=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>[1,2,2,2]
[[1,4],[2,6],[3,7],[5]]=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>[1,2,2,2]
[[1,3],[2,6],[4,7],[5]]=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>[1,2,2,2]
[[1,2],[3,6],[4,7],[5]]=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2]
[[1,4],[2,5],[3,7],[6]]=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>[1,2,2,2]
[[1,3],[2,5],[4,7],[6]]=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>[1,2,2,2]
[[1,2],[3,5],[4,7],[6]]=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2]
[[1,3],[2,4],[5,7],[6]]=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>[1,2,2,2]
[[1,2],[3,4],[5,7],[6]]=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[1,2,2,2]
[[1,4],[2,5],[3,6],[7]]=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>[1,2,2,2]
[[1,3],[2,5],[4,6],[7]]=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>[1,2,2,2]
[[1,2],[3,5],[4,6],[7]]=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[1,2,2,2]
[[1,3],[2,4],[5,6],[7]]=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>[1,2,2,2]
[[1,2],[3,4],[5,6],[7]]=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[1,2,2,2]
[[1,6],[2,7],[3],[4],[5]]=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2]
[[1,5],[2,7],[3],[4],[6]]=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[1,1,1,2,2]
[[1,4],[2,7],[3],[5],[6]]=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>[1,1,1,2,2]
[[1,3],[2,7],[4],[5],[6]]=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>[1,1,1,2,2]
[[1,2],[3,7],[4],[5],[6]]=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2]
[[1,5],[2,6],[3],[4],[7]]=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>[1,1,1,2,2]
[[1,4],[2,6],[3],[5],[7]]=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>[1,1,1,2,2]
[[1,3],[2,6],[4],[5],[7]]=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>[1,1,1,2,2]
[[1,2],[3,6],[4],[5],[7]]=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2]
[[1,4],[2,5],[3],[6],[7]]=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>[1,1,1,2,2]
[[1,3],[2,5],[4],[6],[7]]=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>[1,1,1,2,2]
[[1,2],[3,5],[4],[6],[7]]=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2]
[[1,3],[2,4],[5],[6],[7]]=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>[1,1,1,2,2]
[[1,2],[3,4],[5],[6],[7]]=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[1,1,1,2,2]
[[1,7],[2],[3],[4],[5],[6]]=>[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>[1,1,1,1,1,2]
[[1,6],[2],[3],[4],[5],[7]]=>[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>[1,1,1,1,1,2]
[[1,5],[2],[3],[4],[6],[7]]=>[[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>[1,1,1,1,1,2]
[[1,4],[2],[3],[5],[6],[7]]=>[[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>[1,1,1,1,1,2]
[[1,3],[2],[4],[5],[6],[7]]=>[[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>[1,1,1,1,1,2]
[[1,2],[3],[4],[5],[6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,2]
[[1],[2],[3],[4],[5],[6],[7]]=>[[1],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1]
[[1,2,3,4,5,6,7,8]]=>[[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>[8]
[[1,3,4,5,6,7,8],[2]]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>[1,7]
[[1,2,4,5,6,7,8],[3]]=>[[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>[1,7]
[[1,2,3,5,6,7,8],[4]]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>[1,7]
[[1,2,3,4,6,7,8],[5]]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>[1,7]
[[1,2,3,4,5,7,8],[6]]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>[1,7]
[[1,2,3,4,5,6,8],[7]]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>[1,7]
[[1,2,3,4,5,6,7],[8]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>[1,7]
[[1,3,5,6,7,8],[2,4]]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>[2,6]
[[1,2,5,6,7,8],[3,4]]=>[[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>[2,6]
[[1,3,4,6,7,8],[2,5]]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>[2,6]
[[1,2,4,6,7,8],[3,5]]=>[[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>[2,6]
[[1,2,3,6,7,8],[4,5]]=>[[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>[2,6]
[[1,3,4,5,7,8],[2,6]]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>[2,6]
[[1,2,4,5,7,8],[3,6]]=>[[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>[2,6]
[[1,2,3,5,7,8],[4,6]]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>[2,6]
[[1,2,3,4,7,8],[5,6]]=>[[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>[2,6]
[[1,3,4,5,6,8],[2,7]]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>[2,6]
[[1,2,4,5,6,8],[3,7]]=>[[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>[2,6]
[[1,2,3,5,6,8],[4,7]]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>[2,6]
[[1,2,3,4,6,8],[5,7]]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>[2,6]
[[1,2,3,4,5,8],[6,7]]=>[[1,2,3,4,7,8],[5,6]]=>[5,6,1,2,3,4,7,8]=>[2,6]
[[1,3,4,5,6,7],[2,8]]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>[2,6]
[[1,2,4,5,6,7],[3,8]]=>[[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>[2,6]
[[1,2,3,5,6,7],[4,8]]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>[2,6]
[[1,2,3,4,6,7],[5,8]]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>[2,6]
[[1,2,3,4,5,7],[6,8]]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>[2,6]
[[1,2,3,4,5,6],[7,8]]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>[2,6]
[[1,4,5,6,7,8],[2],[3]]=>[[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>[1,1,6]
[[1,3,5,6,7,8],[2],[4]]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>[1,1,6]
[[1,2,5,6,7,8],[3],[4]]=>[[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>[1,1,6]
[[1,3,4,6,7,8],[2],[5]]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>[1,1,6]
[[1,2,4,6,7,8],[3],[5]]=>[[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>[1,1,6]
[[1,2,3,6,7,8],[4],[5]]=>[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>[1,1,6]
[[1,3,4,5,7,8],[2],[6]]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>[1,1,6]
[[1,2,4,5,7,8],[3],[6]]=>[[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>[1,1,6]
[[1,2,3,5,7,8],[4],[6]]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>[1,1,6]
[[1,2,3,4,7,8],[5],[6]]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>[1,1,6]
[[1,3,4,5,6,8],[2],[7]]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>[1,1,6]
[[1,2,4,5,6,8],[3],[7]]=>[[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>[1,1,6]
[[1,2,3,5,6,8],[4],[7]]=>[[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>[1,1,6]
[[1,2,3,4,6,8],[5],[7]]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>[1,1,6]
[[1,2,3,4,5,8],[6],[7]]=>[[1,2,3,4,7,8],[5],[6]]=>[6,5,1,2,3,4,7,8]=>[1,1,6]
[[1,3,4,5,6,7],[2],[8]]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>[1,1,6]
[[1,2,4,5,6,7],[3],[8]]=>[[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>[1,1,6]
[[1,2,3,5,6,7],[4],[8]]=>[[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>[1,1,6]
[[1,2,3,4,6,7],[5],[8]]=>[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>[1,1,6]
[[1,2,3,4,5,7],[6],[8]]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>[1,1,6]
[[1,2,3,4,5,6],[7],[8]]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>[1,1,6]
[[1,3,5,7,8],[2,4,6]]=>[[1,2,4,6,7],[3,5,8]]=>[3,5,8,1,2,4,6,7]=>[3,5]
[[1,2,5,7,8],[3,4,6]]=>[[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>[3,5]
[[1,3,4,7,8],[2,5,6]]=>[[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>[3,5]
[[1,2,4,7,8],[3,5,6]]=>[[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>[3,5]
[[1,2,3,7,8],[4,5,6]]=>[[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>[3,5]
[[1,3,5,6,8],[2,4,7]]=>[[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>[3,5]
[[1,2,5,6,8],[3,4,7]]=>[[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>[3,5]
[[1,3,4,6,8],[2,5,7]]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>[3,5]
[[1,2,4,6,8],[3,5,7]]=>[[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>[3,5]
[[1,2,3,6,8],[4,5,7]]=>[[1,2,5,7,8],[3,4,6]]=>[3,4,6,1,2,5,7,8]=>[3,5]
[[1,3,4,5,8],[2,6,7]]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>[3,5]
[[1,2,4,5,8],[3,6,7]]=>[[1,3,4,7,8],[2,5,6]]=>[2,5,6,1,3,4,7,8]=>[3,5]
[[1,2,3,5,8],[4,6,7]]=>[[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>[3,5]
[[1,2,3,4,8],[5,6,7]]=>[[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>[3,5]
[[1,3,5,6,7],[2,4,8]]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>[3,5]
[[1,2,5,6,7],[3,4,8]]=>[[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>[3,5]
[[1,3,4,6,7],[2,5,8]]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>[3,5]
[[1,2,4,6,7],[3,5,8]]=>[[1,3,5,6,8],[2,4,7]]=>[2,4,7,1,3,5,6,8]=>[3,5]
[[1,2,3,6,7],[4,5,8]]=>[[1,2,5,6,8],[3,4,7]]=>[3,4,7,1,2,5,6,8]=>[3,5]
[[1,3,4,5,7],[2,6,8]]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>[3,5]
[[1,2,3,5,7],[4,6,8]]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>[3,5]
[[1,2,3,4,7],[5,6,8]]=>[[1,2,3,6,8],[4,5,7]]=>[4,5,7,1,2,3,6,8]=>[3,5]
[[1,3,4,5,6],[2,7,8]]=>[[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>[3,5]
[[1,2,4,5,6],[3,7,8]]=>[[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>[3,5]
[[1,2,3,5,6],[4,7,8]]=>[[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>[3,5]
[[1,2,3,4,6],[5,7,8]]=>[[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>[3,5]
[[1,2,3,4,5],[6,7,8]]=>[[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>[3,5]
[[1,4,6,7,8],[2,5],[3]]=>[[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>[1,2,5]
[[1,3,6,7,8],[2,5],[4]]=>[[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>[1,2,5]
[[1,2,6,7,8],[3,5],[4]]=>[[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>[1,2,5]
[[1,3,6,7,8],[2,4],[5]]=>[[1,2,5,6,7],[3,8],[4]]=>[4,3,8,1,2,5,6,7]=>[1,2,5]
[[1,2,6,7,8],[3,4],[5]]=>[[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>[1,2,5]
[[1,3,5,7,8],[2,6],[4]]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>[1,2,5]
[[1,2,5,7,8],[3,6],[4]]=>[[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>[1,2,5]
[[1,3,4,7,8],[2,6],[5]]=>[[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>[1,2,5]
[[1,2,4,7,8],[3,6],[5]]=>[[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>[1,2,5]
[[1,3,5,7,8],[2,4],[6]]=>[[1,2,4,6,7],[3,8],[5]]=>[5,3,8,1,2,4,6,7]=>[1,2,5]
[[1,2,5,7,8],[3,4],[6]]=>[[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>[1,2,5]
[[1,3,4,7,8],[2,5],[6]]=>[[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>[1,2,5]
[[1,2,4,7,8],[3,5],[6]]=>[[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>[1,2,5]
[[1,2,3,7,8],[4,5],[6]]=>[[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>[1,2,5]
[[1,4,5,6,8],[2,7],[3]]=>[[1,3,4,5,7],[2,6],[8]]=>[8,2,6,1,3,4,5,7]=>[1,2,5]
[[1,3,5,6,8],[2,7],[4]]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>[1,2,5]
[[1,2,5,6,8],[3,7],[4]]=>[[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>[1,2,5]
[[1,3,4,6,8],[2,7],[5]]=>[[1,2,3,5,7],[4,6],[8]]=>[8,4,6,1,2,3,5,7]=>[1,2,5]
[[1,2,4,6,8],[3,7],[5]]=>[[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>[1,2,5]
[[1,3,4,5,8],[2,7],[6]]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>[1,2,5]
[[1,2,4,5,8],[3,7],[6]]=>[[1,3,4,7,8],[2,6],[5]]=>[5,2,6,1,3,4,7,8]=>[1,2,5]
[[1,2,3,5,8],[4,7],[6]]=>[[1,2,4,7,8],[3,6],[5]]=>[5,3,6,1,2,4,7,8]=>[1,2,5]
[[1,3,5,6,8],[2,4],[7]]=>[[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>[1,2,5]
[[1,2,5,6,8],[3,4],[7]]=>[[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>[1,2,5]
[[1,3,4,6,8],[2,5],[7]]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>[1,2,5]
[[1,2,4,6,8],[3,5],[7]]=>[[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>[1,2,5]
[[1,3,4,5,8],[2,6],[7]]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>[1,2,5]
[[1,2,3,5,8],[4,6],[7]]=>[[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>[1,2,5]
[[1,2,3,4,8],[5,6],[7]]=>[[1,2,3,7,8],[4,5],[6]]=>[6,4,5,1,2,3,7,8]=>[1,2,5]
[[1,4,5,6,7],[2,8],[3]]=>[[1,3,4,5,6],[2,7],[8]]=>[8,2,7,1,3,4,5,6]=>[1,2,5]
[[1,3,5,6,7],[2,8],[4]]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>[1,2,5]
[[1,2,5,6,7],[3,8],[4]]=>[[1,4,5,6,8],[2,7],[3]]=>[3,2,7,1,4,5,6,8]=>[1,2,5]
[[1,3,4,6,7],[2,8],[5]]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>[1,2,5]
[[1,2,4,6,7],[3,8],[5]]=>[[1,3,5,6,8],[2,7],[4]]=>[4,2,7,1,3,5,6,8]=>[1,2,5]
[[1,3,4,5,7],[2,8],[6]]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>[1,2,5]
[[1,2,4,5,7],[3,8],[6]]=>[[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>[1,2,5]
[[1,2,3,5,7],[4,8],[6]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>[1,2,5]
[[1,2,3,4,7],[5,8],[6]]=>[[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>[1,2,5]
[[1,3,4,5,6],[2,8],[7]]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>[1,2,5]
[[1,2,4,5,6],[3,8],[7]]=>[[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>[1,2,5]
[[1,2,3,5,6],[4,8],[7]]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>[1,2,5]
[[1,2,3,4,6],[5,8],[7]]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>[1,2,5]
[[1,2,3,4,5],[6,8],[7]]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>[1,2,5]
[[1,3,5,6,7],[2,4],[8]]=>[[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>[1,2,5]
[[1,2,5,6,7],[3,4],[8]]=>[[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>[1,2,5]
[[1,3,4,6,7],[2,5],[8]]=>[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>[1,2,5]
[[1,2,3,6,7],[4,5],[8]]=>[[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>[1,2,5]
[[1,3,4,5,7],[2,6],[8]]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>[1,2,5]
[[1,2,4,5,7],[3,6],[8]]=>[[1,3,4,6,8],[2,5],[7]]=>[7,2,5,1,3,4,6,8]=>[1,2,5]
[[1,2,3,5,7],[4,6],[8]]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>[1,2,5]
[[1,2,3,4,7],[5,6],[8]]=>[[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>[1,2,5]
[[1,3,4,5,6],[2,7],[8]]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>[1,2,5]
[[1,2,3,5,6],[4,7],[8]]=>[[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>[1,2,5]
[[1,2,3,4,6],[5,7],[8]]=>[[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>[1,2,5]
[[1,2,3,4,5],[6,7],[8]]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>[1,2,5]
[[1,5,6,7,8],[2],[3],[4]]=>[[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>[1,1,1,5]
[[1,4,6,7,8],[2],[3],[5]]=>[[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>[1,1,1,5]
[[1,3,6,7,8],[2],[4],[5]]=>[[1,2,5,6,7],[3],[4],[8]]=>[8,4,3,1,2,5,6,7]=>[1,1,1,5]
[[1,2,6,7,8],[3],[4],[5]]=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>[1,1,1,5]
[[1,4,5,7,8],[2],[3],[6]]=>[[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>[1,1,1,5]
[[1,3,5,7,8],[2],[4],[6]]=>[[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>[1,1,1,5]
[[1,2,5,7,8],[3],[4],[6]]=>[[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>[1,1,1,5]
[[1,3,4,7,8],[2],[5],[6]]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>[1,1,1,5]
[[1,2,4,7,8],[3],[5],[6]]=>[[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>[1,1,1,5]
[[1,2,3,7,8],[4],[5],[6]]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>[1,1,1,5]
[[1,2,5,6,8],[3],[4],[7]]=>[[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>[1,1,1,5]
[[1,3,4,6,8],[2],[5],[7]]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>[1,1,1,5]
[[1,2,4,6,8],[3],[5],[7]]=>[[1,3,5,7,8],[2],[4],[6]]=>[6,4,2,1,3,5,7,8]=>[1,1,1,5]
[[1,2,3,6,8],[4],[5],[7]]=>[[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>[1,1,1,5]
[[1,3,4,5,8],[2],[6],[7]]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>[1,1,1,5]
[[1,2,4,5,8],[3],[6],[7]]=>[[1,3,4,7,8],[2],[5],[6]]=>[6,5,2,1,3,4,7,8]=>[1,1,1,5]
[[1,2,3,4,8],[5],[6],[7]]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>[1,1,1,5]
[[1,4,5,6,7],[2],[3],[8]]=>[[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>[1,1,1,5]
[[1,2,5,6,7],[3],[4],[8]]=>[[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>[1,1,1,5]
[[1,3,4,6,7],[2],[5],[8]]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>[1,1,1,5]
[[1,2,3,6,7],[4],[5],[8]]=>[[1,2,5,6,8],[3],[4],[7]]=>[7,4,3,1,2,5,6,8]=>[1,1,1,5]
[[1,3,4,5,7],[2],[6],[8]]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>[1,1,1,5]
[[1,2,4,5,7],[3],[6],[8]]=>[[1,3,4,6,8],[2],[5],[7]]=>[7,5,2,1,3,4,6,8]=>[1,1,1,5]
[[1,2,3,5,7],[4],[6],[8]]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>[1,1,1,5]
[[1,2,3,4,7],[5],[6],[8]]=>[[1,2,3,6,8],[4],[5],[7]]=>[7,5,4,1,2,3,6,8]=>[1,1,1,5]
[[1,3,4,5,6],[2],[7],[8]]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>[1,1,1,5]
[[1,2,3,5,6],[4],[7],[8]]=>[[1,2,4,5,8],[3],[6],[7]]=>[7,6,3,1,2,4,5,8]=>[1,1,1,5]
[[1,2,3,4,6],[5],[7],[8]]=>[[1,2,3,5,8],[4],[6],[7]]=>[7,6,4,1,2,3,5,8]=>[1,1,1,5]
[[1,2,3,4,5],[6],[7],[8]]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>[1,1,1,5]
[[1,3,5,7],[2,4,6,8]]=>[[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>[4,4]
[[1,2,5,7],[3,4,6,8]]=>[[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>[4,4]
[[1,3,4,7],[2,5,6,8]]=>[[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>[4,4]
[[1,2,4,7],[3,5,6,8]]=>[[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>[4,4]
[[1,2,3,7],[4,5,6,8]]=>[[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>[4,4]
[[1,3,5,6],[2,4,7,8]]=>[[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>[4,4]
[[1,2,5,6],[3,4,7,8]]=>[[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>[4,4]
[[1,3,4,6],[2,5,7,8]]=>[[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>[4,4]
[[1,2,4,6],[3,5,7,8]]=>[[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>[4,4]
[[1,2,3,6],[4,5,7,8]]=>[[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>[4,4]
[[1,3,4,5],[2,6,7,8]]=>[[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>[4,4]
[[1,2,4,5],[3,6,7,8]]=>[[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>[4,4]
[[1,2,3,5],[4,6,7,8]]=>[[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>[4,4]
[[1,2,3,4],[5,6,7,8]]=>[[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>[4,4]
[[1,4,6,8],[2,5,7],[3]]=>[[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>[1,3,4]
[[1,3,6,8],[2,5,7],[4]]=>[[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>[1,3,4]
[[1,2,6,8],[3,5,7],[4]]=>[[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>[1,3,4]
[[1,3,6,8],[2,4,7],[5]]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>[1,3,4]
[[1,2,6,8],[3,4,7],[5]]=>[[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>[1,3,4]
[[1,4,5,8],[2,6,7],[3]]=>[[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>[1,3,4]
[[1,3,5,8],[2,6,7],[4]]=>[[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>[1,3,4]
[[1,2,5,8],[3,6,7],[4]]=>[[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>[1,3,4]
[[1,3,4,8],[2,6,7],[5]]=>[[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>[1,3,4]
[[1,2,4,8],[3,6,7],[5]]=>[[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>[1,3,4]
[[1,2,3,8],[4,6,7],[5]]=>[[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>[1,3,4]
[[1,3,5,8],[2,4,7],[6]]=>[[1,2,4,7],[3,6,8],[5]]=>[5,3,6,8,1,2,4,7]=>[1,3,4]
[[1,2,5,8],[3,4,7],[6]]=>[[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>[1,3,4]
[[1,3,4,8],[2,5,7],[6]]=>[[1,2,3,7],[4,6,8],[5]]=>[5,4,6,8,1,2,3,7]=>[1,3,4]
[[1,2,4,8],[3,5,7],[6]]=>[[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>[1,3,4]
[[1,2,3,8],[4,5,7],[6]]=>[[1,2,6,7],[3,4,8],[5]]=>[5,3,4,8,1,2,6,7]=>[1,3,4]
[[1,3,5,8],[2,4,6],[7]]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>[1,3,4]
[[1,2,5,8],[3,4,6],[7]]=>[[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>[1,3,4]
[[1,3,4,8],[2,5,6],[7]]=>[[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>[1,3,4]
[[1,2,4,8],[3,5,6],[7]]=>[[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>[1,3,4]
[[1,2,3,8],[4,5,6],[7]]=>[[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>[1,3,4]
[[1,4,6,7],[2,5,8],[3]]=>[[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>[1,3,4]
[[1,2,6,7],[3,5,8],[4]]=>[[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>[1,3,4]
[[1,3,6,7],[2,4,8],[5]]=>[[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>[1,3,4]
[[1,2,6,7],[3,4,8],[5]]=>[[1,3,5,6],[2,7,8],[4]]=>[4,2,7,8,1,3,5,6]=>[1,3,4]
[[1,4,5,7],[2,6,8],[3]]=>[[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>[1,3,4]
[[1,3,5,7],[2,6,8],[4]]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>[1,3,4]
[[1,2,5,7],[3,6,8],[4]]=>[[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>[1,3,4]
[[1,3,4,7],[2,6,8],[5]]=>[[1,2,3,6],[4,5,7],[8]]=>[8,4,5,7,1,2,3,6]=>[1,3,4]
[[1,2,4,7],[3,6,8],[5]]=>[[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>[1,3,4]
[[1,2,3,7],[4,6,8],[5]]=>[[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>[1,3,4]
[[1,3,5,7],[2,4,8],[6]]=>[[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>[1,3,4]
[[1,2,5,7],[3,4,8],[6]]=>[[1,3,4,6],[2,7,8],[5]]=>[5,2,7,8,1,3,4,6]=>[1,3,4]
[[1,3,4,7],[2,5,8],[6]]=>[[1,2,3,6],[4,7,8],[5]]=>[5,4,7,8,1,2,3,6]=>[1,3,4]
[[1,2,4,7],[3,5,8],[6]]=>[[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>[1,3,4]
[[1,2,3,7],[4,5,8],[6]]=>[[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>[1,3,4]
[[1,4,5,6],[2,7,8],[3]]=>[[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>[1,3,4]
[[1,2,5,6],[3,7,8],[4]]=>[[1,4,5,8],[2,6,7],[3]]=>[3,2,6,7,1,4,5,8]=>[1,3,4]
[[1,3,4,6],[2,7,8],[5]]=>[[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>[1,3,4]
[[1,2,4,6],[3,7,8],[5]]=>[[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>[1,3,4]
[[1,2,3,6],[4,7,8],[5]]=>[[1,2,5,8],[3,6,7],[4]]=>[4,3,6,7,1,2,5,8]=>[1,3,4]
[[1,3,4,5],[2,7,8],[6]]=>[[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>[1,3,4]
[[1,2,4,5],[3,7,8],[6]]=>[[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>[1,3,4]
[[1,2,3,5],[4,7,8],[6]]=>[[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>[1,3,4]
[[1,2,3,4],[5,7,8],[6]]=>[[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>[1,3,4]
[[1,3,5,6],[2,4,8],[7]]=>[[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>[1,3,4]
[[1,2,5,6],[3,4,8],[7]]=>[[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>[1,3,4]
[[1,3,4,6],[2,5,8],[7]]=>[[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>[1,3,4]
[[1,2,4,6],[3,5,8],[7]]=>[[1,3,5,8],[2,4,7],[6]]=>[6,2,4,7,1,3,5,8]=>[1,3,4]
[[1,2,3,6],[4,5,8],[7]]=>[[1,2,5,8],[3,4,7],[6]]=>[6,3,4,7,1,2,5,8]=>[1,3,4]
[[1,3,4,5],[2,6,8],[7]]=>[[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>[1,3,4]
[[1,2,4,5],[3,6,8],[7]]=>[[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>[1,3,4]
[[1,2,3,5],[4,6,8],[7]]=>[[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>[1,3,4]
[[1,2,3,4],[5,6,8],[7]]=>[[1,2,3,8],[4,5,7],[6]]=>[6,4,5,7,1,2,3,8]=>[1,3,4]
[[1,3,5,7],[2,4,6],[8]]=>[[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>[1,3,4]
[[1,2,5,7],[3,4,6],[8]]=>[[1,3,4,6],[2,5,8],[7]]=>[7,2,5,8,1,3,4,6]=>[1,3,4]
[[1,3,4,7],[2,5,6],[8]]=>[[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>[1,3,4]
[[1,2,4,7],[3,5,6],[8]]=>[[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>[1,3,4]
[[1,2,3,7],[4,5,6],[8]]=>[[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>[1,3,4]
[[1,3,5,6],[2,4,7],[8]]=>[[1,2,4,5],[3,6,8],[7]]=>[7,3,6,8,1,2,4,5]=>[1,3,4]
[[1,2,5,6],[3,4,7],[8]]=>[[1,3,4,5],[2,6,8],[7]]=>[7,2,6,8,1,3,4,5]=>[1,3,4]
[[1,3,4,6],[2,5,7],[8]]=>[[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>[1,3,4]
[[1,2,4,6],[3,5,7],[8]]=>[[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>[1,3,4]
[[1,2,3,6],[4,5,7],[8]]=>[[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>[1,3,4]
[[1,3,4,5],[2,6,7],[8]]=>[[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>[1,3,4]
[[1,2,4,5],[3,6,7],[8]]=>[[1,3,4,8],[2,5,6],[7]]=>[7,2,5,6,1,3,4,8]=>[1,3,4]
[[1,2,3,5],[4,6,7],[8]]=>[[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>[1,3,4]
[[1,2,3,4],[5,6,7],[8]]=>[[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>[1,3,4]
[[1,4,7,8],[2,5],[3,6]]=>[[1,3,6,7],[2,4],[5,8]]=>[5,8,2,4,1,3,6,7]=>[2,2,4]
[[1,3,7,8],[2,5],[4,6]]=>[[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>[2,2,4]
[[1,2,7,8],[3,5],[4,6]]=>[[1,4,6,7],[2,5],[3,8]]=>[3,8,2,5,1,4,6,7]=>[2,2,4]
[[1,3,7,8],[2,4],[5,6]]=>[[1,2,6,7],[3,5],[4,8]]=>[4,8,3,5,1,2,6,7]=>[2,2,4]
[[1,2,7,8],[3,4],[5,6]]=>[[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>[2,2,4]
[[1,4,6,8],[2,5],[3,7]]=>[[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>[2,2,4]
[[1,3,6,8],[2,5],[4,7]]=>[[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>[2,2,4]
[[1,2,6,8],[3,5],[4,7]]=>[[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>[2,2,4]
[[1,2,6,8],[3,4],[5,7]]=>[[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>[2,2,4]
[[1,3,5,8],[2,6],[4,7]]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>[2,2,4]
[[1,2,5,8],[3,6],[4,7]]=>[[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>[2,2,4]
[[1,3,4,8],[2,6],[5,7]]=>[[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>[2,2,4]
[[1,2,4,8],[3,6],[5,7]]=>[[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>[2,2,4]
[[1,2,3,8],[4,6],[5,7]]=>[[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>[2,2,4]
[[1,3,5,8],[2,4],[6,7]]=>[[1,2,4,7],[3,6],[5,8]]=>[5,8,3,6,1,2,4,7]=>[2,2,4]
[[1,2,5,8],[3,4],[6,7]]=>[[1,3,4,7],[2,6],[5,8]]=>[5,8,2,6,1,3,4,7]=>[2,2,4]
[[1,3,4,8],[2,5],[6,7]]=>[[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>[2,2,4]
[[1,2,4,8],[3,5],[6,7]]=>[[1,3,7,8],[2,4],[5,6]]=>[5,6,2,4,1,3,7,8]=>[2,2,4]
[[1,2,3,8],[4,5],[6,7]]=>[[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>[2,2,4]
[[1,4,6,7],[2,5],[3,8]]=>[[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>[2,2,4]
[[1,3,6,7],[2,5],[4,8]]=>[[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>[2,2,4]
[[1,2,6,7],[3,5],[4,8]]=>[[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>[2,2,4]
[[1,3,6,7],[2,4],[5,8]]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>[2,2,4]
[[1,2,6,7],[3,4],[5,8]]=>[[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>[2,2,4]
[[1,4,5,7],[2,6],[3,8]]=>[[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>[2,2,4]
[[1,3,5,7],[2,6],[4,8]]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>[2,2,4]
[[1,2,5,7],[3,6],[4,8]]=>[[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>[2,2,4]
[[1,3,4,7],[2,6],[5,8]]=>[[1,2,3,6],[4,5],[7,8]]=>[7,8,4,5,1,2,3,6]=>[2,2,4]
[[1,2,4,7],[3,6],[5,8]]=>[[1,3,6,8],[2,5],[4,7]]=>[4,7,2,5,1,3,6,8]=>[2,2,4]
[[1,2,3,7],[4,6],[5,8]]=>[[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>[2,2,4]
[[1,3,5,7],[2,4],[6,8]]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>[2,2,4]
[[1,2,5,7],[3,4],[6,8]]=>[[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>[2,2,4]
[[1,3,4,7],[2,5],[6,8]]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>[2,2,4]
[[1,2,4,7],[3,5],[6,8]]=>[[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>[2,2,4]
[[1,2,3,7],[4,5],[6,8]]=>[[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>[2,2,4]
[[1,4,5,6],[2,7],[3,8]]=>[[1,3,4,5],[2,6],[7,8]]=>[7,8,2,6,1,3,4,5]=>[2,2,4]
[[1,2,5,6],[3,7],[4,8]]=>[[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>[2,2,4]
[[1,3,4,6],[2,7],[5,8]]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>[2,2,4]
[[1,2,4,6],[3,7],[5,8]]=>[[1,3,5,8],[2,6],[4,7]]=>[4,7,2,6,1,3,5,8]=>[2,2,4]
[[1,2,3,6],[4,7],[5,8]]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>[2,2,4]
[[1,3,4,5],[2,7],[6,8]]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>[2,2,4]
[[1,2,4,5],[3,7],[6,8]]=>[[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>[2,2,4]
[[1,2,3,5],[4,7],[6,8]]=>[[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>[2,2,4]
[[1,2,3,4],[5,7],[6,8]]=>[[1,2,3,8],[4,6],[5,7]]=>[5,7,4,6,1,2,3,8]=>[2,2,4]
[[1,3,5,6],[2,4],[7,8]]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>[2,2,4]
[[1,2,5,6],[3,4],[7,8]]=>[[1,3,4,5],[2,7],[6,8]]=>[6,8,2,7,1,3,4,5]=>[2,2,4]
[[1,3,4,6],[2,5],[7,8]]=>[[1,2,3,5],[4,7],[6,8]]=>[6,8,4,7,1,2,3,5]=>[2,2,4]
[[1,2,4,6],[3,5],[7,8]]=>[[1,3,5,8],[2,4],[6,7]]=>[6,7,2,4,1,3,5,8]=>[2,2,4]
[[1,2,3,6],[4,5],[7,8]]=>[[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>[2,2,4]
[[1,3,4,5],[2,6],[7,8]]=>[[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>[2,2,4]
[[1,2,4,5],[3,6],[7,8]]=>[[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>[2,2,4]
[[1,2,3,5],[4,6],[7,8]]=>[[1,2,4,8],[3,5],[6,7]]=>[6,7,3,5,1,2,4,8]=>[2,2,4]
[[1,2,3,4],[5,6],[7,8]]=>[[1,2,3,8],[4,5],[6,7]]=>[6,7,4,5,1,2,3,8]=>[2,2,4]
[[1,5,7,8],[2,6],[3],[4]]=>[[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>[1,1,2,4]
[[1,4,7,8],[2,6],[3],[5]]=>[[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>[1,1,2,4]
[[1,3,7,8],[2,6],[4],[5]]=>[[1,2,6,7],[3,5],[4],[8]]=>[8,4,3,5,1,2,6,7]=>[1,1,2,4]
[[1,2,7,8],[3,6],[4],[5]]=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>[1,1,2,4]
[[1,4,7,8],[2,5],[3],[6]]=>[[1,3,6,7],[2,4],[5],[8]]=>[8,5,2,4,1,3,6,7]=>[1,1,2,4]
[[1,3,7,8],[2,5],[4],[6]]=>[[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>[1,1,2,4]
[[1,2,7,8],[3,5],[4],[6]]=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>[1,1,2,4]
[[1,3,7,8],[2,4],[5],[6]]=>[[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>[1,1,2,4]
[[1,2,7,8],[3,4],[5],[6]]=>[[1,3,6,7],[2,8],[4],[5]]=>[5,4,2,8,1,3,6,7]=>[1,1,2,4]
[[1,5,6,8],[2,7],[3],[4]]=>[[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>[1,1,2,4]
[[1,4,6,8],[2,7],[3],[5]]=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>[1,1,2,4]
[[1,2,6,8],[3,7],[4],[5]]=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>[1,1,2,4]
[[1,3,5,8],[2,7],[4],[6]]=>[[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>[1,1,2,4]
[[1,2,5,8],[3,7],[4],[6]]=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>[1,1,2,4]
[[1,3,4,8],[2,7],[5],[6]]=>[[1,2,3,7],[4,6],[5],[8]]=>[8,5,4,6,1,2,3,7]=>[1,1,2,4]
[[1,2,4,8],[3,7],[5],[6]]=>[[1,3,7,8],[2,6],[4],[5]]=>[5,4,2,6,1,3,7,8]=>[1,1,2,4]
[[1,2,3,8],[4,7],[5],[6]]=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>[1,1,2,4]
[[1,4,6,8],[2,5],[3],[7]]=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>[1,1,2,4]
[[1,3,6,8],[2,5],[4],[7]]=>[[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>[1,1,2,4]
[[1,2,6,8],[3,5],[4],[7]]=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>[1,1,2,4]
[[1,3,6,8],[2,4],[5],[7]]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>[1,1,2,4]
[[1,2,6,8],[3,4],[5],[7]]=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>[1,1,2,4]
[[1,4,5,8],[2,6],[3],[7]]=>[[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>[1,1,2,4]
[[1,3,5,8],[2,6],[4],[7]]=>[[1,2,4,7],[3,5],[6],[8]]=>[8,6,3,5,1,2,4,7]=>[1,1,2,4]
[[1,2,5,8],[3,6],[4],[7]]=>[[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>[1,1,2,4]
[[1,3,4,8],[2,6],[5],[7]]=>[[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>[1,1,2,4]
[[1,2,4,8],[3,6],[5],[7]]=>[[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>[1,1,2,4]
[[1,2,3,8],[4,6],[5],[7]]=>[[1,2,7,8],[3,5],[4],[6]]=>[6,4,3,5,1,2,7,8]=>[1,1,2,4]
[[1,3,5,8],[2,4],[6],[7]]=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>[1,1,2,4]
[[1,2,5,8],[3,4],[6],[7]]=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>[1,1,2,4]
[[1,3,4,8],[2,5],[6],[7]]=>[[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>[1,1,2,4]
[[1,2,4,8],[3,5],[6],[7]]=>[[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>[1,1,2,4]
[[1,2,3,8],[4,5],[6],[7]]=>[[1,2,7,8],[3,4],[5],[6]]=>[6,5,3,4,1,2,7,8]=>[1,1,2,4]
[[1,5,6,7],[2,8],[3],[4]]=>[[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>[1,1,2,4]
[[1,4,6,7],[2,8],[3],[5]]=>[[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>[1,1,2,4]
[[1,3,6,7],[2,8],[4],[5]]=>[[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>[1,1,2,4]
[[1,2,6,7],[3,8],[4],[5]]=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>[1,1,2,4]
[[1,4,5,7],[2,8],[3],[6]]=>[[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>[1,1,2,4]
[[1,3,5,7],[2,8],[4],[6]]=>[[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>[1,1,2,4]
[[1,2,5,7],[3,8],[4],[6]]=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>[1,1,2,4]
[[1,3,4,7],[2,8],[5],[6]]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>[1,1,2,4]
[[1,2,4,7],[3,8],[5],[6]]=>[[1,3,6,8],[2,7],[4],[5]]=>[5,4,2,7,1,3,6,8]=>[1,1,2,4]
[[1,2,3,7],[4,8],[5],[6]]=>[[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>[1,1,2,4]
[[1,4,5,6],[2,8],[3],[7]]=>[[1,3,4,5],[2,7],[6],[8]]=>[8,6,2,7,1,3,4,5]=>[1,1,2,4]
[[1,3,5,6],[2,8],[4],[7]]=>[[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>[1,1,2,4]
[[1,2,5,6],[3,8],[4],[7]]=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>[1,1,2,4]
[[1,3,4,6],[2,8],[5],[7]]=>[[1,2,3,5],[4,7],[6],[8]]=>[8,6,4,7,1,2,3,5]=>[1,1,2,4]
[[1,2,4,6],[3,8],[5],[7]]=>[[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>[1,1,2,4]
[[1,2,3,6],[4,8],[5],[7]]=>[[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>[1,1,2,4]
[[1,3,4,5],[2,8],[6],[7]]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>[1,1,2,4]
[[1,2,4,5],[3,8],[6],[7]]=>[[1,3,4,8],[2,7],[5],[6]]=>[6,5,2,7,1,3,4,8]=>[1,1,2,4]
[[1,2,3,5],[4,8],[6],[7]]=>[[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>[1,1,2,4]
[[1,2,3,4],[5,8],[6],[7]]=>[[1,2,3,8],[4,7],[5],[6]]=>[6,5,4,7,1,2,3,8]=>[1,1,2,4]
[[1,4,6,7],[2,5],[3],[8]]=>[[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>[1,1,2,4]
[[1,3,6,7],[2,5],[4],[8]]=>[[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>[1,1,2,4]
[[1,2,6,7],[3,5],[4],[8]]=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>[1,1,2,4]
[[1,3,6,7],[2,4],[5],[8]]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>[1,1,2,4]
[[1,2,6,7],[3,4],[5],[8]]=>[[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>[1,1,2,4]
[[1,4,5,7],[2,6],[3],[8]]=>[[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>[1,1,2,4]
[[1,3,5,7],[2,6],[4],[8]]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>[1,1,2,4]
[[1,2,5,7],[3,6],[4],[8]]=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>[1,1,2,4]
[[1,3,4,7],[2,6],[5],[8]]=>[[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>[1,1,2,4]
[[1,2,4,7],[3,6],[5],[8]]=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>[1,1,2,4]
[[1,2,3,7],[4,6],[5],[8]]=>[[1,2,6,8],[3,5],[4],[7]]=>[7,4,3,5,1,2,6,8]=>[1,1,2,4]
[[1,3,5,7],[2,4],[6],[8]]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>[1,1,2,4]
[[1,3,4,7],[2,5],[6],[8]]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>[1,1,2,4]
[[1,2,4,7],[3,5],[6],[8]]=>[[1,3,6,8],[2,4],[5],[7]]=>[7,5,2,4,1,3,6,8]=>[1,1,2,4]
[[1,2,3,7],[4,5],[6],[8]]=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>[1,1,2,4]
[[1,4,5,6],[2,7],[3],[8]]=>[[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>[1,1,2,4]
[[1,3,5,6],[2,7],[4],[8]]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>[1,1,2,4]
[[1,2,5,6],[3,7],[4],[8]]=>[[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>[1,1,2,4]
[[1,3,4,6],[2,7],[5],[8]]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>[1,1,2,4]
[[1,2,4,6],[3,7],[5],[8]]=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>[1,1,2,4]
[[1,2,3,6],[4,7],[5],[8]]=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>[1,1,2,4]
[[1,3,4,5],[2,7],[6],[8]]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>[1,1,2,4]
[[1,2,4,5],[3,7],[6],[8]]=>[[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>[1,1,2,4]
[[1,2,3,5],[4,7],[6],[8]]=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>[1,1,2,4]
[[1,2,3,4],[5,7],[6],[8]]=>[[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>[1,1,2,4]
[[1,2,5,6],[3,4],[7],[8]]=>[[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>[1,1,2,4]
[[1,3,4,6],[2,5],[7],[8]]=>[[1,2,3,5],[4,8],[6],[7]]=>[7,6,4,8,1,2,3,5]=>[1,1,2,4]
[[1,2,3,6],[4,5],[7],[8]]=>[[1,2,5,8],[3,4],[6],[7]]=>[7,6,3,4,1,2,5,8]=>[1,1,2,4]
[[1,3,4,5],[2,6],[7],[8]]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>[1,1,2,4]
[[1,2,3,5],[4,6],[7],[8]]=>[[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>[1,1,2,4]
[[1,2,3,4],[5,6],[7],[8]]=>[[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>[1,1,2,4]
[[1,6,7,8],[2],[3],[4],[5]]=>[[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>[1,1,1,1,4]
[[1,5,7,8],[2],[3],[4],[6]]=>[[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>[1,1,1,1,4]
[[1,4,7,8],[2],[3],[5],[6]]=>[[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>[1,1,1,1,4]
[[1,3,7,8],[2],[4],[5],[6]]=>[[1,2,6,7],[3],[4],[5],[8]]=>[8,5,4,3,1,2,6,7]=>[1,1,1,1,4]
[[1,2,7,8],[3],[4],[5],[6]]=>[[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>[1,1,1,1,4]
[[1,5,6,8],[2],[3],[4],[7]]=>[[1,4,5,7],[2],[3],[6],[8]]=>[8,6,3,2,1,4,5,7]=>[1,1,1,1,4]
[[1,4,6,8],[2],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>[1,1,1,1,4]
[[1,3,6,8],[2],[4],[5],[7]]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>[1,1,1,1,4]
[[1,2,6,8],[3],[4],[5],[7]]=>[[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>[1,1,1,1,4]
[[1,4,5,8],[2],[3],[6],[7]]=>[[1,3,4,7],[2],[5],[6],[8]]=>[8,6,5,2,1,3,4,7]=>[1,1,1,1,4]
[[1,3,5,8],[2],[4],[6],[7]]=>[[1,2,4,7],[3],[5],[6],[8]]=>[8,6,5,3,1,2,4,7]=>[1,1,1,1,4]
[[1,2,5,8],[3],[4],[6],[7]]=>[[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>[1,1,1,1,4]
[[1,3,4,8],[2],[5],[6],[7]]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>[1,1,1,1,4]
[[1,2,4,8],[3],[5],[6],[7]]=>[[1,3,7,8],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7,8]=>[1,1,1,1,4]
[[1,2,3,8],[4],[5],[6],[7]]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>[1,1,1,1,4]
[[1,5,6,7],[2],[3],[4],[8]]=>[[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>[1,1,1,1,4]
[[1,4,6,7],[2],[3],[5],[8]]=>[[1,3,5,6],[2],[4],[7],[8]]=>[8,7,4,2,1,3,5,6]=>[1,1,1,1,4]
[[1,3,6,7],[2],[4],[5],[8]]=>[[1,2,5,6],[3],[4],[7],[8]]=>[8,7,4,3,1,2,5,6]=>[1,1,1,1,4]
[[1,2,6,7],[3],[4],[5],[8]]=>[[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>[1,1,1,1,4]
[[1,4,5,7],[2],[3],[6],[8]]=>[[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>[1,1,1,1,4]
[[1,3,5,7],[2],[4],[6],[8]]=>[[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>[1,1,1,1,4]
[[1,2,5,7],[3],[4],[6],[8]]=>[[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>[1,1,1,1,4]
[[1,3,4,7],[2],[5],[6],[8]]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>[1,1,1,1,4]
[[1,4,5,6],[2],[3],[7],[8]]=>[[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>[1,1,1,1,4]
[[1,3,5,6],[2],[4],[7],[8]]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>[1,1,1,1,4]
[[1,2,5,6],[3],[4],[7],[8]]=>[[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>[1,1,1,1,4]
[[1,3,4,6],[2],[5],[7],[8]]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>[1,1,1,1,4]
[[1,2,4,6],[3],[5],[7],[8]]=>[[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>[1,1,1,1,4]
[[1,2,3,6],[4],[5],[7],[8]]=>[[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>[1,1,1,1,4]
[[1,3,4,5],[2],[6],[7],[8]]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>[1,1,1,1,4]
[[1,2,4,5],[3],[6],[7],[8]]=>[[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>[1,1,1,1,4]
[[1,2,3,5],[4],[6],[7],[8]]=>[[1,2,4,8],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4,8]=>[1,1,1,1,4]
[[1,2,3,4],[5],[6],[7],[8]]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>[1,1,1,1,4]
[[1,4,7],[2,5,8],[3,6]]=>[[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>[2,3,3]
[[1,2,7],[3,5,8],[4,6]]=>[[1,4,6],[2,5,7],[3,8]]=>[3,8,2,5,7,1,4,6]=>[2,3,3]
[[1,3,7],[2,4,8],[5,6]]=>[[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>[2,3,3]
[[1,2,7],[3,4,8],[5,6]]=>[[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>[2,3,3]
[[1,4,6],[2,5,8],[3,7]]=>[[1,3,5],[2,4,7],[6,8]]=>[6,8,2,4,7,1,3,5]=>[2,3,3]
[[1,2,6],[3,5,8],[4,7]]=>[[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>[2,3,3]
[[1,3,6],[2,4,8],[5,7]]=>[[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>[2,3,3]
[[1,2,6],[3,4,8],[5,7]]=>[[1,3,5],[2,6,7],[4,8]]=>[4,8,2,6,7,1,3,5]=>[2,3,3]
[[1,4,5],[2,6,8],[3,7]]=>[[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>[2,3,3]
[[1,3,5],[2,6,8],[4,7]]=>[[1,2,4],[3,5,7],[6,8]]=>[6,8,3,5,7,1,2,4]=>[2,3,3]
[[1,2,5],[3,6,8],[4,7]]=>[[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>[2,3,3]
[[1,3,4],[2,6,8],[5,7]]=>[[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>[2,3,3]
[[1,2,4],[3,6,8],[5,7]]=>[[1,3,7],[2,5,8],[4,6]]=>[4,6,2,5,8,1,3,7]=>[2,3,3]
[[1,2,3],[4,6,8],[5,7]]=>[[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>[2,3,3]
[[1,3,5],[2,4,8],[6,7]]=>[[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>[2,3,3]
[[1,2,5],[3,4,8],[6,7]]=>[[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>[2,3,3]
[[1,2,4],[3,5,8],[6,7]]=>[[1,3,7],[2,4,8],[5,6]]=>[5,6,2,4,8,1,3,7]=>[2,3,3]
[[1,2,3],[4,5,8],[6,7]]=>[[1,2,7],[3,4,8],[5,6]]=>[5,6,3,4,8,1,2,7]=>[2,3,3]
[[1,4,6],[2,5,7],[3,8]]=>[[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>[2,3,3]
[[1,3,6],[2,5,7],[4,8]]=>[[1,2,5],[3,4,6],[7,8]]=>[7,8,3,4,6,1,2,5]=>[2,3,3]
[[1,2,6],[3,5,7],[4,8]]=>[[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>[2,3,3]
[[1,3,6],[2,4,7],[5,8]]=>[[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>[2,3,3]
[[1,2,6],[3,4,7],[5,8]]=>[[1,3,5],[2,6,8],[4,7]]=>[4,7,2,6,8,1,3,5]=>[2,3,3]
[[1,4,5],[2,6,7],[3,8]]=>[[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>[2,3,3]
[[1,3,5],[2,6,7],[4,8]]=>[[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>[2,3,3]
[[1,2,5],[3,6,7],[4,8]]=>[[1,4,6],[2,5,8],[3,7]]=>[3,7,2,5,8,1,4,6]=>[2,3,3]
[[1,3,4],[2,6,7],[5,8]]=>[[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>[2,3,3]
[[1,2,4],[3,6,7],[5,8]]=>[[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>[2,3,3]
[[1,2,3],[4,6,7],[5,8]]=>[[1,2,6],[3,5,8],[4,7]]=>[4,7,3,5,8,1,2,6]=>[2,3,3]
[[1,3,5],[2,4,7],[6,8]]=>[[1,2,4],[3,6,8],[5,7]]=>[5,7,3,6,8,1,2,4]=>[2,3,3]
[[1,2,5],[3,4,7],[6,8]]=>[[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>[2,3,3]
[[1,3,4],[2,5,7],[6,8]]=>[[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>[2,3,3]
[[1,2,4],[3,5,7],[6,8]]=>[[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>[2,3,3]
[[1,2,3],[4,5,7],[6,8]]=>[[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>[2,3,3]
[[1,3,5],[2,4,6],[7,8]]=>[[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>[2,3,3]
[[1,3,4],[2,5,6],[7,8]]=>[[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>[2,3,3]
[[1,2,4],[3,5,6],[7,8]]=>[[1,3,5],[2,4,8],[6,7]]=>[6,7,2,4,8,1,3,5]=>[2,3,3]
[[1,2,3],[4,5,6],[7,8]]=>[[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>[2,3,3]
[[1,5,7],[2,6,8],[3],[4]]=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>[1,1,3,3]
[[1,4,7],[2,6,8],[3],[5]]=>[[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>[1,1,3,3]
[[1,3,7],[2,6,8],[4],[5]]=>[[1,2,6],[3,5,7],[4],[8]]=>[8,4,3,5,7,1,2,6]=>[1,1,3,3]
[[1,2,7],[3,6,8],[4],[5]]=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>[1,1,3,3]
[[1,4,7],[2,5,8],[3],[6]]=>[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>[1,1,3,3]
[[1,3,7],[2,5,8],[4],[6]]=>[[1,2,6],[3,4,7],[5],[8]]=>[8,5,3,4,7,1,2,6]=>[1,1,3,3]
[[1,2,7],[3,5,8],[4],[6]]=>[[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>[1,1,3,3]
[[1,3,7],[2,4,8],[5],[6]]=>[[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>[1,1,3,3]
[[1,2,7],[3,4,8],[5],[6]]=>[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>[1,1,3,3]
[[1,5,6],[2,7,8],[3],[4]]=>[[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>[1,1,3,3]
[[1,4,6],[2,7,8],[3],[5]]=>[[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>[1,1,3,3]
[[1,3,6],[2,7,8],[4],[5]]=>[[1,2,5],[3,6,7],[4],[8]]=>[8,4,3,6,7,1,2,5]=>[1,1,3,3]
[[1,2,6],[3,7,8],[4],[5]]=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>[1,1,3,3]
[[1,4,5],[2,7,8],[3],[6]]=>[[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>[1,1,3,3]
[[1,3,5],[2,7,8],[4],[6]]=>[[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>[1,1,3,3]
[[1,2,5],[3,7,8],[4],[6]]=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>[1,1,3,3]
[[1,3,4],[2,7,8],[5],[6]]=>[[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>[1,1,3,3]
[[1,2,4],[3,7,8],[5],[6]]=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>[1,1,3,3]
[[1,2,3],[4,7,8],[5],[6]]=>[[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>[1,1,3,3]
[[1,4,6],[2,5,8],[3],[7]]=>[[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>[1,1,3,3]
[[1,3,6],[2,5,8],[4],[7]]=>[[1,2,5],[3,4,7],[6],[8]]=>[8,6,3,4,7,1,2,5]=>[1,1,3,3]
[[1,2,6],[3,5,8],[4],[7]]=>[[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>[1,1,3,3]
[[1,3,6],[2,4,8],[5],[7]]=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>[1,1,3,3]
[[1,2,6],[3,4,8],[5],[7]]=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>[1,1,3,3]
[[1,4,5],[2,6,8],[3],[7]]=>[[1,3,4],[2,5,7],[6],[8]]=>[8,6,2,5,7,1,3,4]=>[1,1,3,3]
[[1,3,5],[2,6,8],[4],[7]]=>[[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>[1,1,3,3]
[[1,2,5],[3,6,8],[4],[7]]=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>[1,1,3,3]
[[1,3,4],[2,6,8],[5],[7]]=>[[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>[1,1,3,3]
[[1,2,4],[3,6,8],[5],[7]]=>[[1,3,7],[2,5,8],[4],[6]]=>[6,4,2,5,8,1,3,7]=>[1,1,3,3]
[[1,2,3],[4,6,8],[5],[7]]=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>[1,1,3,3]
[[1,3,5],[2,4,8],[6],[7]]=>[[1,2,4],[3,7,8],[5],[6]]=>[6,5,3,7,8,1,2,4]=>[1,1,3,3]
[[1,2,5],[3,4,8],[6],[7]]=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>[1,1,3,3]
[[1,3,4],[2,5,8],[6],[7]]=>[[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>[1,1,3,3]
[[1,2,4],[3,5,8],[6],[7]]=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>[1,1,3,3]
[[1,2,3],[4,5,8],[6],[7]]=>[[1,2,7],[3,4,8],[5],[6]]=>[6,5,3,4,8,1,2,7]=>[1,1,3,3]
[[1,4,6],[2,5,7],[3],[8]]=>[[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>[1,1,3,3]
[[1,3,6],[2,5,7],[4],[8]]=>[[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>[1,1,3,3]
[[1,2,6],[3,5,7],[4],[8]]=>[[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>[1,1,3,3]
[[1,3,6],[2,4,7],[5],[8]]=>[[1,2,5],[3,6,8],[4],[7]]=>[7,4,3,6,8,1,2,5]=>[1,1,3,3]
[[1,2,6],[3,4,7],[5],[8]]=>[[1,3,5],[2,6,8],[4],[7]]=>[7,4,2,6,8,1,3,5]=>[1,1,3,3]
[[1,4,5],[2,6,7],[3],[8]]=>[[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>[1,1,3,3]
[[1,3,5],[2,6,7],[4],[8]]=>[[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>[1,1,3,3]
[[1,2,5],[3,6,7],[4],[8]]=>[[1,4,6],[2,5,8],[3],[7]]=>[7,3,2,5,8,1,4,6]=>[1,1,3,3]
[[1,3,4],[2,6,7],[5],[8]]=>[[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>[1,1,3,3]
[[1,2,4],[3,6,7],[5],[8]]=>[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>[1,1,3,3]
[[1,2,3],[4,6,7],[5],[8]]=>[[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>[1,1,3,3]
[[1,3,5],[2,4,7],[6],[8]]=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>[1,1,3,3]
[[1,2,5],[3,4,7],[6],[8]]=>[[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>[1,1,3,3]
[[1,3,4],[2,5,7],[6],[8]]=>[[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>[1,1,3,3]
[[1,2,4],[3,5,7],[6],[8]]=>[[1,3,6],[2,4,8],[5],[7]]=>[7,5,2,4,8,1,3,6]=>[1,1,3,3]
[[1,2,3],[4,5,7],[6],[8]]=>[[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>[1,1,3,3]
[[1,3,5],[2,4,6],[7],[8]]=>[[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>[1,1,3,3]
[[1,2,5],[3,4,6],[7],[8]]=>[[1,3,4],[2,5,8],[6],[7]]=>[7,6,2,5,8,1,3,4]=>[1,1,3,3]
[[1,3,4],[2,5,6],[7],[8]]=>[[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>[1,1,3,3]
[[1,2,4],[3,5,6],[7],[8]]=>[[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>[1,1,3,3]
[[1,2,3],[4,5,6],[7],[8]]=>[[1,2,5],[3,4,8],[6],[7]]=>[7,6,3,4,8,1,2,5]=>[1,1,3,3]
[[1,5,8],[2,6],[3,7],[4]]=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>[1,2,2,3]
[[1,4,8],[2,6],[3,7],[5]]=>[[1,3,7],[2,5],[4,6],[8]]=>[8,4,6,2,5,1,3,7]=>[1,2,2,3]
[[1,3,8],[2,6],[4,7],[5]]=>[[1,2,7],[3,5],[4,6],[8]]=>[8,4,6,3,5,1,2,7]=>[1,2,2,3]
[[1,2,8],[3,6],[4,7],[5]]=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>[1,2,2,3]
[[1,4,8],[2,5],[3,7],[6]]=>[[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>[1,2,2,3]
[[1,3,8],[2,5],[4,7],[6]]=>[[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>[1,2,2,3]
[[1,2,8],[3,5],[4,7],[6]]=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3]
[[1,3,8],[2,4],[5,7],[6]]=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>[1,2,2,3]
[[1,2,8],[3,4],[5,7],[6]]=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3]
[[1,4,8],[2,5],[3,6],[7]]=>[[1,3,7],[2,4],[5,8],[6]]=>[6,5,8,2,4,1,3,7]=>[1,2,2,3]
[[1,3,8],[2,5],[4,6],[7]]=>[[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>[1,2,2,3]
[[1,2,8],[3,5],[4,6],[7]]=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3]
[[1,3,8],[2,4],[5,6],[7]]=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>[1,2,2,3]
[[1,2,8],[3,4],[5,6],[7]]=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>[1,2,2,3]
[[1,5,7],[2,6],[3,8],[4]]=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>[1,2,2,3]
[[1,3,7],[2,6],[4,8],[5]]=>[[1,2,6],[3,5],[4,7],[8]]=>[8,4,7,3,5,1,2,6]=>[1,2,2,3]
[[1,2,7],[3,6],[4,8],[5]]=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>[1,2,2,3]
[[1,4,7],[2,5],[3,8],[6]]=>[[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>[1,2,2,3]
[[1,2,7],[3,5],[4,8],[6]]=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3]
[[1,3,7],[2,4],[5,8],[6]]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>[1,2,2,3]
[[1,2,7],[3,4],[5,8],[6]]=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[1,2,2,3]
[[1,5,6],[2,7],[3,8],[4]]=>[[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>[1,2,2,3]
[[1,4,6],[2,7],[3,8],[5]]=>[[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>[1,2,2,3]
[[1,3,6],[2,7],[4,8],[5]]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>[1,2,2,3]
[[1,2,6],[3,7],[4,8],[5]]=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3]
[[1,4,5],[2,7],[3,8],[6]]=>[[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>[1,2,2,3]
[[1,2,5],[3,7],[4,8],[6]]=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3]
[[1,2,4],[3,7],[5,8],[6]]=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3]
[[1,2,3],[4,7],[5,8],[6]]=>[[1,2,8],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2,8]=>[1,2,2,3]
[[1,4,6],[2,5],[3,8],[7]]=>[[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>[1,2,2,3]
[[1,3,6],[2,5],[4,8],[7]]=>[[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>[1,2,2,3]
[[1,2,6],[3,5],[4,8],[7]]=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>[1,2,2,3]
[[1,3,6],[2,4],[5,8],[7]]=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>[1,2,2,3]
[[1,2,6],[3,4],[5,8],[7]]=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[1,2,2,3]
[[1,4,5],[2,6],[3,8],[7]]=>[[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>[1,2,2,3]
[[1,3,5],[2,6],[4,8],[7]]=>[[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>[1,2,2,3]
[[1,2,5],[3,6],[4,8],[7]]=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3]
[[1,3,4],[2,6],[5,8],[7]]=>[[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>[1,2,2,3]
[[1,2,4],[3,6],[5,8],[7]]=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>[1,2,2,3]
[[1,2,3],[4,6],[5,8],[7]]=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>[1,2,2,3]
[[1,3,5],[2,4],[6,8],[7]]=>[[1,2,4],[3,7],[5,8],[6]]=>[6,5,8,3,7,1,2,4]=>[1,2,2,3]
[[1,2,5],[3,4],[6,8],[7]]=>[[1,3,4],[2,7],[5,8],[6]]=>[6,5,8,2,7,1,3,4]=>[1,2,2,3]
[[1,3,4],[2,5],[6,8],[7]]=>[[1,2,3],[4,7],[5,8],[6]]=>[6,5,8,4,7,1,2,3]=>[1,2,2,3]
[[1,2,4],[3,5],[6,8],[7]]=>[[1,3,8],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3,8]=>[1,2,2,3]
[[1,4,7],[2,5],[3,6],[8]]=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>[1,2,2,3]
[[1,3,7],[2,5],[4,6],[8]]=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>[1,2,2,3]
[[1,2,7],[3,5],[4,6],[8]]=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>[1,2,2,3]
[[1,3,7],[2,4],[5,6],[8]]=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>[1,2,2,3]
[[1,2,7],[3,4],[5,6],[8]]=>[[1,3,6],[2,5],[4,8],[7]]=>[7,4,8,2,5,1,3,6]=>[1,2,2,3]
[[1,4,6],[2,5],[3,7],[8]]=>[[1,3,5],[2,4],[6,8],[7]]=>[7,6,8,2,4,1,3,5]=>[1,2,2,3]
[[1,3,6],[2,5],[4,7],[8]]=>[[1,2,5],[3,4],[6,8],[7]]=>[7,6,8,3,4,1,2,5]=>[1,2,2,3]
[[1,2,6],[3,5],[4,7],[8]]=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>[1,2,2,3]
[[1,3,6],[2,4],[5,7],[8]]=>[[1,2,5],[3,6],[4,8],[7]]=>[7,4,8,3,6,1,2,5]=>[1,2,2,3]
[[1,2,6],[3,4],[5,7],[8]]=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>[1,2,2,3]
[[1,4,5],[2,6],[3,7],[8]]=>[[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>[1,2,2,3]
[[1,3,5],[2,6],[4,7],[8]]=>[[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>[1,2,2,3]
[[1,2,5],[3,6],[4,7],[8]]=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3]
[[1,2,4],[3,6],[5,7],[8]]=>[[1,3,8],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3,8]=>[1,2,2,3]
[[1,2,3],[4,6],[5,7],[8]]=>[[1,2,8],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2,8]=>[1,2,2,3]
[[1,3,5],[2,4],[6,7],[8]]=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>[1,2,2,3]
[[1,2,5],[3,4],[6,7],[8]]=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>[1,2,2,3]
[[1,3,4],[2,5],[6,7],[8]]=>[[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>[1,2,2,3]
[[1,2,4],[3,5],[6,7],[8]]=>[[1,3,8],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3,8]=>[1,2,2,3]
[[1,2,3],[4,5],[6,7],[8]]=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>[1,2,2,3]
[[1,5,8],[2,7],[3],[4],[6]]=>[[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>[1,1,1,2,3]
[[1,4,8],[2,7],[3],[5],[6]]=>[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>[1,1,1,2,3]
[[1,3,8],[2,7],[4],[5],[6]]=>[[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>[1,1,1,2,3]
[[1,2,8],[3,7],[4],[5],[6]]=>[[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>[1,1,1,2,3]
[[1,4,8],[2,6],[3],[5],[7]]=>[[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>[1,1,1,2,3]
[[1,3,8],[2,6],[4],[5],[7]]=>[[1,2,7],[3,5],[4],[6],[8]]=>[8,6,4,3,5,1,2,7]=>[1,1,1,2,3]
[[1,4,8],[2,5],[3],[6],[7]]=>[[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>[1,1,1,2,3]
[[1,3,8],[2,5],[4],[6],[7]]=>[[1,2,7],[3,4],[5],[6],[8]]=>[8,6,5,3,4,1,2,7]=>[1,1,1,2,3]
[[1,2,8],[3,5],[4],[6],[7]]=>[[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>[1,1,1,2,3]
[[1,3,8],[2,4],[5],[6],[7]]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>[1,1,1,2,3]
[[1,2,8],[3,4],[5],[6],[7]]=>[[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>[1,1,1,2,3]
[[1,5,7],[2,8],[3],[4],[6]]=>[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>[1,1,1,2,3]
[[1,2,7],[3,8],[4],[5],[6]]=>[[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>[1,1,1,2,3]
[[1,5,6],[2,8],[3],[4],[7]]=>[[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>[1,1,1,2,3]
[[1,4,6],[2,8],[3],[5],[7]]=>[[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>[1,1,1,2,3]
[[1,3,6],[2,8],[4],[5],[7]]=>[[1,2,5],[3,7],[4],[6],[8]]=>[8,6,4,3,7,1,2,5]=>[1,1,1,2,3]
[[1,2,6],[3,8],[4],[5],[7]]=>[[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>[1,1,1,2,3]
[[1,4,5],[2,8],[3],[6],[7]]=>[[1,3,4],[2,7],[5],[6],[8]]=>[8,6,5,2,7,1,3,4]=>[1,1,1,2,3]
[[1,3,5],[2,8],[4],[6],[7]]=>[[1,2,4],[3,7],[5],[6],[8]]=>[8,6,5,3,7,1,2,4]=>[1,1,1,2,3]
[[1,2,5],[3,8],[4],[6],[7]]=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>[1,1,1,2,3]
[[1,3,4],[2,8],[5],[6],[7]]=>[[1,2,3],[4,7],[5],[6],[8]]=>[8,6,5,4,7,1,2,3]=>[1,1,1,2,3]
[[1,2,4],[3,8],[5],[6],[7]]=>[[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>[1,1,1,2,3]
[[1,2,3],[4,8],[5],[6],[7]]=>[[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>[1,1,1,2,3]
[[1,4,7],[2,6],[3],[5],[8]]=>[[1,3,6],[2,5],[4],[7],[8]]=>[8,7,4,2,5,1,3,6]=>[1,1,1,2,3]
[[1,3,7],[2,6],[4],[5],[8]]=>[[1,2,6],[3,5],[4],[7],[8]]=>[8,7,4,3,5,1,2,6]=>[1,1,1,2,3]
[[1,2,7],[3,6],[4],[5],[8]]=>[[1,5,6],[2,8],[3],[4],[7]]=>[7,4,3,2,8,1,5,6]=>[1,1,1,2,3]
[[1,4,7],[2,5],[3],[6],[8]]=>[[1,3,6],[2,4],[5],[7],[8]]=>[8,7,5,2,4,1,3,6]=>[1,1,1,2,3]
[[1,3,7],[2,5],[4],[6],[8]]=>[[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>[1,1,1,2,3]
[[1,2,7],[3,5],[4],[6],[8]]=>[[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>[1,1,1,2,3]
[[1,3,7],[2,4],[5],[6],[8]]=>[[1,2,6],[3,8],[4],[5],[7]]=>[7,5,4,3,8,1,2,6]=>[1,1,1,2,3]
[[1,2,7],[3,4],[5],[6],[8]]=>[[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>[1,1,1,2,3]
[[1,5,6],[2,7],[3],[4],[8]]=>[[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>[1,1,1,2,3]
[[1,4,6],[2,7],[3],[5],[8]]=>[[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>[1,1,1,2,3]
[[1,3,6],[2,7],[4],[5],[8]]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>[1,1,1,2,3]
[[1,4,5],[2,7],[3],[6],[8]]=>[[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>[1,1,1,2,3]
[[1,3,5],[2,7],[4],[6],[8]]=>[[1,2,4],[3,6],[5],[7],[8]]=>[8,7,5,3,6,1,2,4]=>[1,1,1,2,3]
[[1,2,5],[3,7],[4],[6],[8]]=>[[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>[1,1,1,2,3]
[[1,3,4],[2,7],[5],[6],[8]]=>[[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>[1,1,1,2,3]
[[1,2,4],[3,7],[5],[6],[8]]=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>[1,1,1,2,3]
[[1,2,3],[4,7],[5],[6],[8]]=>[[1,2,8],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2,8]=>[1,1,1,2,3]
[[1,4,6],[2,5],[3],[7],[8]]=>[[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>[1,1,1,2,3]
[[1,3,6],[2,5],[4],[7],[8]]=>[[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>[1,1,1,2,3]
[[1,2,6],[3,5],[4],[7],[8]]=>[[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>[1,1,1,2,3]
[[1,3,6],[2,4],[5],[7],[8]]=>[[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>[1,1,1,2,3]
[[1,4,5],[2,6],[3],[7],[8]]=>[[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>[1,1,1,2,3]
[[1,3,5],[2,6],[4],[7],[8]]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>[1,1,1,2,3]
[[1,2,5],[3,6],[4],[7],[8]]=>[[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>[1,1,1,2,3]
[[1,3,4],[2,6],[5],[7],[8]]=>[[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>[1,1,1,2,3]
[[1,2,4],[3,6],[5],[7],[8]]=>[[1,3,8],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3,8]=>[1,1,1,2,3]
[[1,2,3],[4,6],[5],[7],[8]]=>[[1,2,8],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2,8]=>[1,1,1,2,3]
[[1,3,5],[2,4],[6],[7],[8]]=>[[1,2,4],[3,8],[5],[6],[7]]=>[7,6,5,3,8,1,2,4]=>[1,1,1,2,3]
[[1,2,5],[3,4],[6],[7],[8]]=>[[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>[1,1,1,2,3]
[[1,3,4],[2,5],[6],[7],[8]]=>[[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>[1,1,1,2,3]
[[1,2,4],[3,5],[6],[7],[8]]=>[[1,3,8],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3,8]=>[1,1,1,2,3]
[[1,2,3],[4,5],[6],[7],[8]]=>[[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>[1,1,1,2,3]
[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>[1,1,1,1,1,3]
[[1,6,8],[2],[3],[4],[5],[7]]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>[1,1,1,1,1,3]
[[1,5,8],[2],[3],[4],[6],[7]]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>[1,1,1,1,1,3]
[[1,4,8],[2],[3],[5],[6],[7]]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>[1,1,1,1,1,3]
[[1,3,8],[2],[4],[5],[6],[7]]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>[1,1,1,1,1,3]
[[1,2,8],[3],[4],[5],[6],[7]]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,3]
[[1,6,7],[2],[3],[4],[5],[8]]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>[1,1,1,1,1,3]
[[1,5,7],[2],[3],[4],[6],[8]]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>[1,1,1,1,1,3]
[[1,4,7],[2],[3],[5],[6],[8]]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[8,7,5,4,2,1,3,6]=>[1,1,1,1,1,3]
[[1,3,7],[2],[4],[5],[6],[8]]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>[1,1,1,1,1,3]
[[1,2,7],[3],[4],[5],[6],[8]]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>[1,1,1,1,1,3]
[[1,5,6],[2],[3],[4],[7],[8]]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>[1,1,1,1,1,3]
[[1,4,6],[2],[3],[5],[7],[8]]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>[1,1,1,1,1,3]
[[1,3,6],[2],[4],[5],[7],[8]]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>[1,1,1,1,1,3]
[[1,2,6],[3],[4],[5],[7],[8]]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>[1,1,1,1,1,3]
[[1,4,5],[2],[3],[6],[7],[8]]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>[1,1,1,1,1,3]
[[1,3,5],[2],[4],[6],[7],[8]]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>[1,1,1,1,1,3]
[[1,2,5],[3],[4],[6],[7],[8]]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>[1,1,1,1,1,3]
[[1,3,4],[2],[5],[6],[7],[8]]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>[1,1,1,1,1,3]
[[1,2,4],[3],[5],[6],[7],[8]]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>[1,1,1,1,1,3]
[[1,2,3],[4],[5],[6],[7],[8]]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>[1,1,1,1,1,3]
[[1,5],[2,6],[3,7],[4,8]]=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>[2,2,2,2]
[[1,4],[2,6],[3,7],[5,8]]=>[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>[2,2,2,2]
[[1,3],[2,6],[4,7],[5,8]]=>[[1,2],[3,5],[4,6],[7,8]]=>[7,8,4,6,3,5,1,2]=>[2,2,2,2]
[[1,2],[3,6],[4,7],[5,8]]=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2]
[[1,4],[2,5],[3,7],[6,8]]=>[[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>[2,2,2,2]
[[1,3],[2,5],[4,7],[6,8]]=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>[2,2,2,2]
[[1,2],[3,5],[4,7],[6,8]]=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2]
[[1,3],[2,4],[5,7],[6,8]]=>[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>[2,2,2,2]
[[1,2],[3,4],[5,7],[6,8]]=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2]
[[1,4],[2,5],[3,6],[7,8]]=>[[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>[2,2,2,2]
[[1,3],[2,5],[4,6],[7,8]]=>[[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>[2,2,2,2]
[[1,2],[3,5],[4,6],[7,8]]=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2]
[[1,3],[2,4],[5,6],[7,8]]=>[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>[2,2,2,2]
[[1,2],[3,4],[5,6],[7,8]]=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[2,2,2,2]
[[1,6],[2,7],[3,8],[4],[5]]=>[[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>[1,1,2,2,2]
[[1,5],[2,7],[3,8],[4],[6]]=>[[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>[1,1,2,2,2]
[[1,4],[2,7],[3,8],[5],[6]]=>[[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>[1,1,2,2,2]
[[1,3],[2,7],[4,8],[5],[6]]=>[[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>[1,1,2,2,2]
[[1,2],[3,7],[4,8],[5],[6]]=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6]=>[1,1,2,2,2]
[[1,5],[2,6],[3,8],[4],[7]]=>[[1,4],[2,5],[3,7],[6],[8]]=>[8,6,3,7,2,5,1,4]=>[1,1,2,2,2]
[[1,4],[2,6],[3,8],[5],[7]]=>[[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>[1,1,2,2,2]
[[1,3],[2,6],[4,8],[5],[7]]=>[[1,2],[3,5],[4,7],[6],[8]]=>[8,6,4,7,3,5,1,2]=>[1,1,2,2,2]
[[1,2],[3,6],[4,8],[5],[7]]=>[[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>[1,1,2,2,2]
[[1,4],[2,5],[3,8],[6],[7]]=>[[1,3],[2,4],[5,7],[6],[8]]=>[8,6,5,7,2,4,1,3]=>[1,1,2,2,2]
[[1,3],[2,5],[4,8],[6],[7]]=>[[1,2],[3,4],[5,7],[6],[8]]=>[8,6,5,7,3,4,1,2]=>[1,1,2,2,2]
[[1,2],[3,5],[4,8],[6],[7]]=>[[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>[1,1,2,2,2]
[[1,3],[2,4],[5,8],[6],[7]]=>[[1,2],[3,7],[4,8],[5],[6]]=>[6,5,4,8,3,7,1,2]=>[1,1,2,2,2]
[[1,2],[3,4],[5,8],[6],[7]]=>[[1,3],[2,7],[4,8],[5],[6]]=>[6,5,4,8,2,7,1,3]=>[1,1,2,2,2]
[[1,5],[2,6],[3,7],[4],[8]]=>[[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>[1,1,2,2,2]
[[1,4],[2,6],[3,7],[5],[8]]=>[[1,3],[2,5],[4,6],[7],[8]]=>[8,7,4,6,2,5,1,3]=>[1,1,2,2,2]
[[1,3],[2,6],[4,7],[5],[8]]=>[[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>[1,1,2,2,2]
[[1,2],[3,6],[4,7],[5],[8]]=>[[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>[1,1,2,2,2]
[[1,4],[2,5],[3,7],[6],[8]]=>[[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>[1,1,2,2,2]
[[1,3],[2,5],[4,7],[6],[8]]=>[[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>[1,1,2,2,2]
[[1,2],[3,5],[4,7],[6],[8]]=>[[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>[1,1,2,2,2]
[[1,3],[2,4],[5,7],[6],[8]]=>[[1,2],[3,6],[4,8],[5],[7]]=>[7,5,4,8,3,6,1,2]=>[1,1,2,2,2]
[[1,2],[3,4],[5,7],[6],[8]]=>[[1,3],[2,6],[4,8],[5],[7]]=>[7,5,4,8,2,6,1,3]=>[1,1,2,2,2]
[[1,4],[2,5],[3,6],[7],[8]]=>[[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>[1,1,2,2,2]
[[1,3],[2,5],[4,6],[7],[8]]=>[[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>[1,1,2,2,2]
[[1,2],[3,5],[4,6],[7],[8]]=>[[1,4],[2,5],[3,8],[6],[7]]=>[7,6,3,8,2,5,1,4]=>[1,1,2,2,2]
[[1,3],[2,4],[5,6],[7],[8]]=>[[1,2],[3,5],[4,8],[6],[7]]=>[7,6,4,8,3,5,1,2]=>[1,1,2,2,2]
[[1,2],[3,4],[5,6],[7],[8]]=>[[1,3],[2,5],[4,8],[6],[7]]=>[7,6,4,8,2,5,1,3]=>[1,1,2,2,2]
[[1,7],[2,8],[3],[4],[5],[6]]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>[1,1,1,1,2,2]
[[1,6],[2,8],[3],[4],[5],[7]]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>[1,1,1,1,2,2]
[[1,5],[2,8],[3],[4],[6],[7]]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[8,6,5,3,2,7,1,4]=>[1,1,1,1,2,2]
[[1,4],[2,8],[3],[5],[6],[7]]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>[1,1,1,1,2,2]
[[1,3],[2,8],[4],[5],[6],[7]]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>[1,1,1,1,2,2]
[[1,2],[3,8],[4],[5],[6],[7]]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>[1,1,1,1,2,2]
[[1,6],[2,7],[3],[4],[5],[8]]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>[1,1,1,1,2,2]
[[1,5],[2,7],[3],[4],[6],[8]]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>[1,1,1,1,2,2]
[[1,4],[2,7],[3],[5],[6],[8]]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>[1,1,1,1,2,2]
[[1,3],[2,7],[4],[5],[6],[8]]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[8,7,5,4,3,6,1,2]=>[1,1,1,1,2,2]
[[1,2],[3,7],[4],[5],[6],[8]]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,2,2]
[[1,5],[2,6],[3],[4],[7],[8]]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[8,7,6,3,2,5,1,4]=>[1,1,1,1,2,2]
[[1,4],[2,6],[3],[5],[7],[8]]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[8,7,6,4,2,5,1,3]=>[1,1,1,1,2,2]
[[1,3],[2,6],[4],[5],[7],[8]]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[8,7,6,4,3,5,1,2]=>[1,1,1,1,2,2]
[[1,2],[3,6],[4],[5],[7],[8]]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>[1,1,1,1,2,2]
[[1,4],[2,5],[3],[6],[7],[8]]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>[1,1,1,1,2,2]
[[1,3],[2,5],[4],[6],[7],[8]]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>[1,1,1,1,2,2]
[[1,2],[3,5],[4],[6],[7],[8]]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[7,6,5,3,2,8,1,4]=>[1,1,1,1,2,2]
[[1,3],[2,4],[5],[6],[7],[8]]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>[1,1,1,1,2,2]
[[1,2],[3,4],[5],[6],[7],[8]]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>[1,1,1,1,2,2]
[[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,2]
[[1,7],[2],[3],[4],[5],[6],[8]]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,2]
[[1,6],[2],[3],[4],[5],[7],[8]]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,2]
[[1,5],[2],[3],[4],[6],[7],[8]]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,2]
[[1,4],[2],[3],[5],[6],[7],[8]]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,2]
[[1,3],[2],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,2]
[[1,2],[3],[4],[5],[6],[7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,2]
[[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1]
[[1,3,5,7,9],[2,4,6,8,10]]=>[[1,2,4,6,8],[3,5,7,9,10]]=>[3,5,7,9,10,1,2,4,6,8]=>[5,5]
[[1,3,5,7,8],[2,4,6,9,10]]=>[[1,2,4,6,7],[3,5,8,9,10]]=>[3,5,8,9,10,1,2,4,6,7]=>[5,5]
[[1,3,5,6,9],[2,4,7,8,10]]=>[[1,2,4,5,8],[3,6,7,9,10]]=>[3,6,7,9,10,1,2,4,5,8]=>[5,5]
[[1,3,5,6,8],[2,4,7,9,10]]=>[[1,2,4,5,7],[3,6,8,9,10]]=>[3,6,8,9,10,1,2,4,5,7]=>[5,5]
[[1,3,5,6,7],[2,4,8,9,10]]=>[[1,2,4,5,6],[3,7,8,9,10]]=>[3,7,8,9,10,1,2,4,5,6]=>[5,5]
[[1,3,4,7,9],[2,5,6,8,10]]=>[[1,2,3,6,8],[4,5,7,9,10]]=>[4,5,7,9,10,1,2,3,6,8]=>[5,5]
[[1,3,4,7,8],[2,5,6,9,10]]=>[[1,2,3,6,7],[4,5,8,9,10]]=>[4,5,8,9,10,1,2,3,6,7]=>[5,5]
[[1,3,4,6,9],[2,5,7,8,10]]=>[[1,2,3,5,8],[4,6,7,9,10]]=>[4,6,7,9,10,1,2,3,5,8]=>[5,5]
[[1,3,4,6,8],[2,5,7,9,10]]=>[[1,2,3,5,7],[4,6,8,9,10]]=>[4,6,8,9,10,1,2,3,5,7]=>[5,5]
[[1,3,4,6,7],[2,5,8,9,10]]=>[[1,2,3,5,6],[4,7,8,9,10]]=>[4,7,8,9,10,1,2,3,5,6]=>[5,5]
[[1,3,4,5,9],[2,6,7,8,10]]=>[[1,2,3,4,8],[5,6,7,9,10]]=>[5,6,7,9,10,1,2,3,4,8]=>[5,5]
[[1,3,4,5,8],[2,6,7,9,10]]=>[[1,2,3,4,7],[5,6,8,9,10]]=>[5,6,8,9,10,1,2,3,4,7]=>[5,5]
[[1,3,4,5,7],[2,6,8,9,10]]=>[[1,2,3,4,6],[5,7,8,9,10]]=>[5,7,8,9,10,1,2,3,4,6]=>[5,5]
[[1,3,4,5,6],[2,7,8,9,10]]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>[5,5]
[[1,2,5,7,9],[3,4,6,8,10]]=>[[1,3,4,6,8],[2,5,7,9,10]]=>[2,5,7,9,10,1,3,4,6,8]=>[5,5]
[[1,2,5,7,8],[3,4,6,9,10]]=>[[1,3,4,6,7],[2,5,8,9,10]]=>[2,5,8,9,10,1,3,4,6,7]=>[5,5]
[[1,2,5,6,9],[3,4,7,8,10]]=>[[1,3,4,5,8],[2,6,7,9,10]]=>[2,6,7,9,10,1,3,4,5,8]=>[5,5]
[[1,2,5,6,8],[3,4,7,9,10]]=>[[1,3,4,5,7],[2,6,8,9,10]]=>[2,6,8,9,10,1,3,4,5,7]=>[5,5]
[[1,2,5,6,7],[3,4,8,9,10]]=>[[1,3,4,5,6],[2,7,8,9,10]]=>[2,7,8,9,10,1,3,4,5,6]=>[5,5]
[[1,2,4,7,9],[3,5,6,8,10]]=>[[1,3,5,6,8],[2,4,7,9,10]]=>[2,4,7,9,10,1,3,5,6,8]=>[5,5]
[[1,2,4,7,8],[3,5,6,9,10]]=>[[1,3,5,6,7],[2,4,8,9,10]]=>[2,4,8,9,10,1,3,5,6,7]=>[5,5]
[[1,2,4,6,9],[3,5,7,8,10]]=>[[1,3,5,7,8],[2,4,6,9,10]]=>[2,4,6,9,10,1,3,5,7,8]=>[5,5]
[[1,2,4,6,8],[3,5,7,9,10]]=>[[1,3,5,7,9],[2,4,6,8,10]]=>[2,4,6,8,10,1,3,5,7,9]=>[5,5]
[[1,2,4,6,7],[3,5,8,9,10]]=>[[1,3,5,6,9],[2,4,7,8,10]]=>[2,4,7,8,10,1,3,5,6,9]=>[5,5]
[[1,2,4,5,9],[3,6,7,8,10]]=>[[1,3,4,7,8],[2,5,6,9,10]]=>[2,5,6,9,10,1,3,4,7,8]=>[5,5]
[[1,2,4,5,8],[3,6,7,9,10]]=>[[1,3,4,7,9],[2,5,6,8,10]]=>[2,5,6,8,10,1,3,4,7,9]=>[5,5]
[[1,2,4,5,7],[3,6,8,9,10]]=>[[1,3,4,6,9],[2,5,7,8,10]]=>[2,5,7,8,10,1,3,4,6,9]=>[5,5]
[[1,2,4,5,6],[3,7,8,9,10]]=>[[1,3,4,5,9],[2,6,7,8,10]]=>[2,6,7,8,10,1,3,4,5,9]=>[5,5]
[[1,2,3,7,9],[4,5,6,8,10]]=>[[1,2,5,6,8],[3,4,7,9,10]]=>[3,4,7,9,10,1,2,5,6,8]=>[5,5]
[[1,2,3,7,8],[4,5,6,9,10]]=>[[1,2,5,6,7],[3,4,8,9,10]]=>[3,4,8,9,10,1,2,5,6,7]=>[5,5]
[[1,2,3,6,9],[4,5,7,8,10]]=>[[1,2,5,7,8],[3,4,6,9,10]]=>[3,4,6,9,10,1,2,5,7,8]=>[5,5]
[[1,2,3,6,8],[4,5,7,9,10]]=>[[1,2,5,7,9],[3,4,6,8,10]]=>[3,4,6,8,10,1,2,5,7,9]=>[5,5]
[[1,2,3,6,7],[4,5,8,9,10]]=>[[1,2,5,6,9],[3,4,7,8,10]]=>[3,4,7,8,10,1,2,5,6,9]=>[5,5]
[[1,2,3,5,9],[4,6,7,8,10]]=>[[1,2,4,7,8],[3,5,6,9,10]]=>[3,5,6,9,10,1,2,4,7,8]=>[5,5]
[[1,2,3,5,8],[4,6,7,9,10]]=>[[1,2,4,7,9],[3,5,6,8,10]]=>[3,5,6,8,10,1,2,4,7,9]=>[5,5]
[[1,2,3,5,7],[4,6,8,9,10]]=>[[1,2,4,6,9],[3,5,7,8,10]]=>[3,5,7,8,10,1,2,4,6,9]=>[5,5]
[[1,2,3,5,6],[4,7,8,9,10]]=>[[1,2,4,5,9],[3,6,7,8,10]]=>[3,6,7,8,10,1,2,4,5,9]=>[5,5]
[[1,2,3,4,9],[5,6,7,8,10]]=>[[1,2,3,7,8],[4,5,6,9,10]]=>[4,5,6,9,10,1,2,3,7,8]=>[5,5]
[[1,2,3,4,8],[5,6,7,9,10]]=>[[1,2,3,7,9],[4,5,6,8,10]]=>[4,5,6,8,10,1,2,3,7,9]=>[5,5]
[[1,2,3,4,7],[5,6,8,9,10]]=>[[1,2,3,6,9],[4,5,7,8,10]]=>[4,5,7,8,10,1,2,3,6,9]=>[5,5]
[[1,2,3,4,6],[5,7,8,9,10]]=>[[1,2,3,5,9],[4,6,7,8,10]]=>[4,6,7,8,10,1,2,3,5,9]=>[5,5]
[[1,2,3,4,5],[6,7,8,9,10]]=>[[1,2,3,4,9],[5,6,7,8,10]]=>[5,6,7,8,10,1,2,3,4,9]=>[5,5]
[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[[1,2,4,6,8,10],[3,5,7,9,11,12]]=>[3,5,7,9,11,12,1,2,4,6,8,10]=>[6,6]
[[1,3,5,7,9,10],[2,4,6,8,11,12]]=>[[1,2,4,6,8,9],[3,5,7,10,11,12]]=>[3,5,7,10,11,12,1,2,4,6,8,9]=>[6,6]
[[1,3,5,7,8,11],[2,4,6,9,10,12]]=>[[1,2,4,6,7,10],[3,5,8,9,11,12]]=>[3,5,8,9,11,12,1,2,4,6,7,10]=>[6,6]
[[1,3,5,7,8,10],[2,4,6,9,11,12]]=>[[1,2,4,6,7,9],[3,5,8,10,11,12]]=>[3,5,8,10,11,12,1,2,4,6,7,9]=>[6,6]
[[1,3,5,7,8,9],[2,4,6,10,11,12]]=>[[1,2,4,6,7,8],[3,5,9,10,11,12]]=>[3,5,9,10,11,12,1,2,4,6,7,8]=>[6,6]
[[1,3,5,6,9,11],[2,4,7,8,10,12]]=>[[1,2,4,5,8,10],[3,6,7,9,11,12]]=>[3,6,7,9,11,12,1,2,4,5,8,10]=>[6,6]
[[1,3,5,6,9,10],[2,4,7,8,11,12]]=>[[1,2,4,5,8,9],[3,6,7,10,11,12]]=>[3,6,7,10,11,12,1,2,4,5,8,9]=>[6,6]
[[1,3,5,6,8,11],[2,4,7,9,10,12]]=>[[1,2,4,5,7,10],[3,6,8,9,11,12]]=>[3,6,8,9,11,12,1,2,4,5,7,10]=>[6,6]
[[1,3,5,6,8,10],[2,4,7,9,11,12]]=>[[1,2,4,5,7,9],[3,6,8,10,11,12]]=>[3,6,8,10,11,12,1,2,4,5,7,9]=>[6,6]
[[1,3,5,6,8,9],[2,4,7,10,11,12]]=>[[1,2,4,5,7,8],[3,6,9,10,11,12]]=>[3,6,9,10,11,12,1,2,4,5,7,8]=>[6,6]
[[1,3,5,6,7,11],[2,4,8,9,10,12]]=>[[1,2,4,5,6,10],[3,7,8,9,11,12]]=>[3,7,8,9,11,12,1,2,4,5,6,10]=>[6,6]
[[1,3,5,6,7,10],[2,4,8,9,11,12]]=>[[1,2,4,5,6,9],[3,7,8,10,11,12]]=>[3,7,8,10,11,12,1,2,4,5,6,9]=>[6,6]
[[1,3,5,6,7,9],[2,4,8,10,11,12]]=>[[1,2,4,5,6,8],[3,7,9,10,11,12]]=>[3,7,9,10,11,12,1,2,4,5,6,8]=>[6,6]
[[1,3,5,6,7,8],[2,4,9,10,11,12]]=>[[1,2,4,5,6,7],[3,8,9,10,11,12]]=>[3,8,9,10,11,12,1,2,4,5,6,7]=>[6,6]
[[1,3,4,7,9,11],[2,5,6,8,10,12]]=>[[1,2,3,6,8,10],[4,5,7,9,11,12]]=>[4,5,7,9,11,12,1,2,3,6,8,10]=>[6,6]
[[1,3,4,7,9,10],[2,5,6,8,11,12]]=>[[1,2,3,6,8,9],[4,5,7,10,11,12]]=>[4,5,7,10,11,12,1,2,3,6,8,9]=>[6,6]
[[1,3,4,7,8,11],[2,5,6,9,10,12]]=>[[1,2,3,6,7,10],[4,5,8,9,11,12]]=>[4,5,8,9,11,12,1,2,3,6,7,10]=>[6,6]
[[1,3,4,7,8,10],[2,5,6,9,11,12]]=>[[1,2,3,6,7,9],[4,5,8,10,11,12]]=>[4,5,8,10,11,12,1,2,3,6,7,9]=>[6,6]
[[1,3,4,7,8,9],[2,5,6,10,11,12]]=>[[1,2,3,6,7,8],[4,5,9,10,11,12]]=>[4,5,9,10,11,12,1,2,3,6,7,8]=>[6,6]
[[1,3,4,6,9,11],[2,5,7,8,10,12]]=>[[1,2,3,5,8,10],[4,6,7,9,11,12]]=>[4,6,7,9,11,12,1,2,3,5,8,10]=>[6,6]
[[1,3,4,6,9,10],[2,5,7,8,11,12]]=>[[1,2,3,5,8,9],[4,6,7,10,11,12]]=>[4,6,7,10,11,12,1,2,3,5,8,9]=>[6,6]
[[1,3,4,6,8,11],[2,5,7,9,10,12]]=>[[1,2,3,5,7,10],[4,6,8,9,11,12]]=>[4,6,8,9,11,12,1,2,3,5,7,10]=>[6,6]
[[1,3,4,6,8,10],[2,5,7,9,11,12]]=>[[1,2,3,5,7,9],[4,6,8,10,11,12]]=>[4,6,8,10,11,12,1,2,3,5,7,9]=>[6,6]
[[1,3,4,6,8,9],[2,5,7,10,11,12]]=>[[1,2,3,5,7,8],[4,6,9,10,11,12]]=>[4,6,9,10,11,12,1,2,3,5,7,8]=>[6,6]
[[1,3,4,6,7,11],[2,5,8,9,10,12]]=>[[1,2,3,5,6,10],[4,7,8,9,11,12]]=>[4,7,8,9,11,12,1,2,3,5,6,10]=>[6,6]
[[1,3,4,6,7,10],[2,5,8,9,11,12]]=>[[1,2,3,5,6,9],[4,7,8,10,11,12]]=>[4,7,8,10,11,12,1,2,3,5,6,9]=>[6,6]
[[1,3,4,6,7,9],[2,5,8,10,11,12]]=>[[1,2,3,5,6,8],[4,7,9,10,11,12]]=>[4,7,9,10,11,12,1,2,3,5,6,8]=>[6,6]
[[1,3,4,6,7,8],[2,5,9,10,11,12]]=>[[1,2,3,5,6,7],[4,8,9,10,11,12]]=>[4,8,9,10,11,12,1,2,3,5,6,7]=>[6,6]
[[1,3,4,5,9,11],[2,6,7,8,10,12]]=>[[1,2,3,4,8,10],[5,6,7,9,11,12]]=>[5,6,7,9,11,12,1,2,3,4,8,10]=>[6,6]
[[1,3,4,5,9,10],[2,6,7,8,11,12]]=>[[1,2,3,4,8,9],[5,6,7,10,11,12]]=>[5,6,7,10,11,12,1,2,3,4,8,9]=>[6,6]
[[1,3,4,5,8,11],[2,6,7,9,10,12]]=>[[1,2,3,4,7,10],[5,6,8,9,11,12]]=>[5,6,8,9,11,12,1,2,3,4,7,10]=>[6,6]
[[1,3,4,5,8,10],[2,6,7,9,11,12]]=>[[1,2,3,4,7,9],[5,6,8,10,11,12]]=>[5,6,8,10,11,12,1,2,3,4,7,9]=>[6,6]
[[1,3,4,5,8,9],[2,6,7,10,11,12]]=>[[1,2,3,4,7,8],[5,6,9,10,11,12]]=>[5,6,9,10,11,12,1,2,3,4,7,8]=>[6,6]
[[1,3,4,5,7,11],[2,6,8,9,10,12]]=>[[1,2,3,4,6,10],[5,7,8,9,11,12]]=>[5,7,8,9,11,12,1,2,3,4,6,10]=>[6,6]
[[1,3,4,5,7,10],[2,6,8,9,11,12]]=>[[1,2,3,4,6,9],[5,7,8,10,11,12]]=>[5,7,8,10,11,12,1,2,3,4,6,9]=>[6,6]
[[1,3,4,5,7,9],[2,6,8,10,11,12]]=>[[1,2,3,4,6,8],[5,7,9,10,11,12]]=>[5,7,9,10,11,12,1,2,3,4,6,8]=>[6,6]
[[1,3,4,5,7,8],[2,6,9,10,11,12]]=>[[1,2,3,4,6,7],[5,8,9,10,11,12]]=>[5,8,9,10,11,12,1,2,3,4,6,7]=>[6,6]
[[1,3,4,5,6,11],[2,7,8,9,10,12]]=>[[1,2,3,4,5,10],[6,7,8,9,11,12]]=>[6,7,8,9,11,12,1,2,3,4,5,10]=>[6,6]
[[1,3,4,5,6,10],[2,7,8,9,11,12]]=>[[1,2,3,4,5,9],[6,7,8,10,11,12]]=>[6,7,8,10,11,12,1,2,3,4,5,9]=>[6,6]
[[1,3,4,5,6,9],[2,7,8,10,11,12]]=>[[1,2,3,4,5,8],[6,7,9,10,11,12]]=>[6,7,9,10,11,12,1,2,3,4,5,8]=>[6,6]
[[1,3,4,5,6,8],[2,7,9,10,11,12]]=>[[1,2,3,4,5,7],[6,8,9,10,11,12]]=>[6,8,9,10,11,12,1,2,3,4,5,7]=>[6,6]
[[1,3,4,5,6,7],[2,8,9,10,11,12]]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[6,6]
[[1,2,5,7,9,11],[3,4,6,8,10,12]]=>[[1,3,4,6,8,10],[2,5,7,9,11,12]]=>[2,5,7,9,11,12,1,3,4,6,8,10]=>[6,6]
[[1,2,5,7,9,10],[3,4,6,8,11,12]]=>[[1,3,4,6,8,9],[2,5,7,10,11,12]]=>[2,5,7,10,11,12,1,3,4,6,8,9]=>[6,6]
[[1,2,5,7,8,11],[3,4,6,9,10,12]]=>[[1,3,4,6,7,10],[2,5,8,9,11,12]]=>[2,5,8,9,11,12,1,3,4,6,7,10]=>[6,6]
[[1,2,5,7,8,10],[3,4,6,9,11,12]]=>[[1,3,4,6,7,9],[2,5,8,10,11,12]]=>[2,5,8,10,11,12,1,3,4,6,7,9]=>[6,6]
[[1,2,5,7,8,9],[3,4,6,10,11,12]]=>[[1,3,4,6,7,8],[2,5,9,10,11,12]]=>[2,5,9,10,11,12,1,3,4,6,7,8]=>[6,6]
[[1,2,5,6,9,11],[3,4,7,8,10,12]]=>[[1,3,4,5,8,10],[2,6,7,9,11,12]]=>[2,6,7,9,11,12,1,3,4,5,8,10]=>[6,6]
[[1,2,5,6,9,10],[3,4,7,8,11,12]]=>[[1,3,4,5,8,9],[2,6,7,10,11,12]]=>[2,6,7,10,11,12,1,3,4,5,8,9]=>[6,6]
[[1,2,5,6,8,11],[3,4,7,9,10,12]]=>[[1,3,4,5,7,10],[2,6,8,9,11,12]]=>[2,6,8,9,11,12,1,3,4,5,7,10]=>[6,6]
[[1,2,5,6,8,10],[3,4,7,9,11,12]]=>[[1,3,4,5,7,9],[2,6,8,10,11,12]]=>[2,6,8,10,11,12,1,3,4,5,7,9]=>[6,6]
[[1,2,5,6,8,9],[3,4,7,10,11,12]]=>[[1,3,4,5,7,8],[2,6,9,10,11,12]]=>[2,6,9,10,11,12,1,3,4,5,7,8]=>[6,6]
[[1,2,5,6,7,11],[3,4,8,9,10,12]]=>[[1,3,4,5,6,10],[2,7,8,9,11,12]]=>[2,7,8,9,11,12,1,3,4,5,6,10]=>[6,6]
[[1,2,5,6,7,10],[3,4,8,9,11,12]]=>[[1,3,4,5,6,9],[2,7,8,10,11,12]]=>[2,7,8,10,11,12,1,3,4,5,6,9]=>[6,6]
[[1,2,5,6,7,9],[3,4,8,10,11,12]]=>[[1,3,4,5,6,8],[2,7,9,10,11,12]]=>[2,7,9,10,11,12,1,3,4,5,6,8]=>[6,6]
[[1,2,5,6,7,8],[3,4,9,10,11,12]]=>[[1,3,4,5,6,7],[2,8,9,10,11,12]]=>[2,8,9,10,11,12,1,3,4,5,6,7]=>[6,6]
[[1,2,4,7,9,11],[3,5,6,8,10,12]]=>[[1,3,5,6,8,10],[2,4,7,9,11,12]]=>[2,4,7,9,11,12,1,3,5,6,8,10]=>[6,6]
[[1,2,4,7,9,10],[3,5,6,8,11,12]]=>[[1,3,5,6,8,9],[2,4,7,10,11,12]]=>[2,4,7,10,11,12,1,3,5,6,8,9]=>[6,6]
[[1,2,4,7,8,11],[3,5,6,9,10,12]]=>[[1,3,5,6,7,10],[2,4,8,9,11,12]]=>[2,4,8,9,11,12,1,3,5,6,7,10]=>[6,6]
[[1,2,4,7,8,10],[3,5,6,9,11,12]]=>[[1,3,5,6,7,9],[2,4,8,10,11,12]]=>[2,4,8,10,11,12,1,3,5,6,7,9]=>[6,6]
[[1,2,4,7,8,9],[3,5,6,10,11,12]]=>[[1,3,5,6,7,8],[2,4,9,10,11,12]]=>[2,4,9,10,11,12,1,3,5,6,7,8]=>[6,6]
[[1,2,4,6,9,11],[3,5,7,8,10,12]]=>[[1,3,5,7,8,10],[2,4,6,9,11,12]]=>[2,4,6,9,11,12,1,3,5,7,8,10]=>[6,6]
[[1,2,4,6,9,10],[3,5,7,8,11,12]]=>[[1,3,5,7,8,9],[2,4,6,10,11,12]]=>[2,4,6,10,11,12,1,3,5,7,8,9]=>[6,6]
[[1,2,4,6,8,11],[3,5,7,9,10,12]]=>[[1,3,5,7,9,10],[2,4,6,8,11,12]]=>[2,4,6,8,11,12,1,3,5,7,9,10]=>[6,6]
[[1,2,4,6,8,10],[3,5,7,9,11,12]]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[6,6]
[[1,2,4,6,8,9],[3,5,7,10,11,12]]=>[[1,3,5,7,8,11],[2,4,6,9,10,12]]=>[2,4,6,9,10,12,1,3,5,7,8,11]=>[6,6]
[[1,2,4,6,7,11],[3,5,8,9,10,12]]=>[[1,3,5,6,9,10],[2,4,7,8,11,12]]=>[2,4,7,8,11,12,1,3,5,6,9,10]=>[6,6]
[[1,2,4,6,7,10],[3,5,8,9,11,12]]=>[[1,3,5,6,9,11],[2,4,7,8,10,12]]=>[2,4,7,8,10,12,1,3,5,6,9,11]=>[6,6]
[[1,2,4,6,7,9],[3,5,8,10,11,12]]=>[[1,3,5,6,8,11],[2,4,7,9,10,12]]=>[2,4,7,9,10,12,1,3,5,6,8,11]=>[6,6]
[[1,2,4,6,7,8],[3,5,9,10,11,12]]=>[[1,3,5,6,7,11],[2,4,8,9,10,12]]=>[2,4,8,9,10,12,1,3,5,6,7,11]=>[6,6]
[[1,2,4,5,9,11],[3,6,7,8,10,12]]=>[[1,3,4,7,8,10],[2,5,6,9,11,12]]=>[2,5,6,9,11,12,1,3,4,7,8,10]=>[6,6]
[[1,2,4,5,9,10],[3,6,7,8,11,12]]=>[[1,3,4,7,8,9],[2,5,6,10,11,12]]=>[2,5,6,10,11,12,1,3,4,7,8,9]=>[6,6]
[[1,2,4,5,8,11],[3,6,7,9,10,12]]=>[[1,3,4,7,9,10],[2,5,6,8,11,12]]=>[2,5,6,8,11,12,1,3,4,7,9,10]=>[6,6]
[[1,2,4,5,8,10],[3,6,7,9,11,12]]=>[[1,3,4,7,9,11],[2,5,6,8,10,12]]=>[2,5,6,8,10,12,1,3,4,7,9,11]=>[6,6]
[[1,2,4,5,8,9],[3,6,7,10,11,12]]=>[[1,3,4,7,8,11],[2,5,6,9,10,12]]=>[2,5,6,9,10,12,1,3,4,7,8,11]=>[6,6]
[[1,2,4,5,7,11],[3,6,8,9,10,12]]=>[[1,3,4,6,9,10],[2,5,7,8,11,12]]=>[2,5,7,8,11,12,1,3,4,6,9,10]=>[6,6]
[[1,2,4,5,7,10],[3,6,8,9,11,12]]=>[[1,3,4,6,9,11],[2,5,7,8,10,12]]=>[2,5,7,8,10,12,1,3,4,6,9,11]=>[6,6]
[[1,2,4,5,7,9],[3,6,8,10,11,12]]=>[[1,3,4,6,8,11],[2,5,7,9,10,12]]=>[2,5,7,9,10,12,1,3,4,6,8,11]=>[6,6]
[[1,2,4,5,7,8],[3,6,9,10,11,12]]=>[[1,3,4,6,7,11],[2,5,8,9,10,12]]=>[2,5,8,9,10,12,1,3,4,6,7,11]=>[6,6]
[[1,2,4,5,6,11],[3,7,8,9,10,12]]=>[[1,3,4,5,9,10],[2,6,7,8,11,12]]=>[2,6,7,8,11,12,1,3,4,5,9,10]=>[6,6]
[[1,2,4,5,6,10],[3,7,8,9,11,12]]=>[[1,3,4,5,9,11],[2,6,7,8,10,12]]=>[2,6,7,8,10,12,1,3,4,5,9,11]=>[6,6]
[[1,2,4,5,6,9],[3,7,8,10,11,12]]=>[[1,3,4,5,8,11],[2,6,7,9,10,12]]=>[2,6,7,9,10,12,1,3,4,5,8,11]=>[6,6]
[[1,2,4,5,6,8],[3,7,9,10,11,12]]=>[[1,3,4,5,7,11],[2,6,8,9,10,12]]=>[2,6,8,9,10,12,1,3,4,5,7,11]=>[6,6]
[[1,2,4,5,6,7],[3,8,9,10,11,12]]=>[[1,3,4,5,6,11],[2,7,8,9,10,12]]=>[2,7,8,9,10,12,1,3,4,5,6,11]=>[6,6]
[[1,2,3,7,9,11],[4,5,6,8,10,12]]=>[[1,2,5,6,8,10],[3,4,7,9,11,12]]=>[3,4,7,9,11,12,1,2,5,6,8,10]=>[6,6]
[[1,2,3,7,9,10],[4,5,6,8,11,12]]=>[[1,2,5,6,8,9],[3,4,7,10,11,12]]=>[3,4,7,10,11,12,1,2,5,6,8,9]=>[6,6]
[[1,2,3,7,8,11],[4,5,6,9,10,12]]=>[[1,2,5,6,7,10],[3,4,8,9,11,12]]=>[3,4,8,9,11,12,1,2,5,6,7,10]=>[6,6]
[[1,2,3,7,8,10],[4,5,6,9,11,12]]=>[[1,2,5,6,7,9],[3,4,8,10,11,12]]=>[3,4,8,10,11,12,1,2,5,6,7,9]=>[6,6]
[[1,2,3,7,8,9],[4,5,6,10,11,12]]=>[[1,2,5,6,7,8],[3,4,9,10,11,12]]=>[3,4,9,10,11,12,1,2,5,6,7,8]=>[6,6]
[[1,2,3,6,9,11],[4,5,7,8,10,12]]=>[[1,2,5,7,8,10],[3,4,6,9,11,12]]=>[3,4,6,9,11,12,1,2,5,7,8,10]=>[6,6]
[[1,2,3,6,9,10],[4,5,7,8,11,12]]=>[[1,2,5,7,8,9],[3,4,6,10,11,12]]=>[3,4,6,10,11,12,1,2,5,7,8,9]=>[6,6]
[[1,2,3,6,8,11],[4,5,7,9,10,12]]=>[[1,2,5,7,9,10],[3,4,6,8,11,12]]=>[3,4,6,8,11,12,1,2,5,7,9,10]=>[6,6]
[[1,2,3,6,8,10],[4,5,7,9,11,12]]=>[[1,2,5,7,9,11],[3,4,6,8,10,12]]=>[3,4,6,8,10,12,1,2,5,7,9,11]=>[6,6]
[[1,2,3,6,8,9],[4,5,7,10,11,12]]=>[[1,2,5,7,8,11],[3,4,6,9,10,12]]=>[3,4,6,9,10,12,1,2,5,7,8,11]=>[6,6]
[[1,2,3,6,7,11],[4,5,8,9,10,12]]=>[[1,2,5,6,9,10],[3,4,7,8,11,12]]=>[3,4,7,8,11,12,1,2,5,6,9,10]=>[6,6]
[[1,2,3,6,7,10],[4,5,8,9,11,12]]=>[[1,2,5,6,9,11],[3,4,7,8,10,12]]=>[3,4,7,8,10,12,1,2,5,6,9,11]=>[6,6]
[[1,2,3,6,7,9],[4,5,8,10,11,12]]=>[[1,2,5,6,8,11],[3,4,7,9,10,12]]=>[3,4,7,9,10,12,1,2,5,6,8,11]=>[6,6]
[[1,2,3,6,7,8],[4,5,9,10,11,12]]=>[[1,2,5,6,7,11],[3,4,8,9,10,12]]=>[3,4,8,9,10,12,1,2,5,6,7,11]=>[6,6]
[[1,2,3,5,9,11],[4,6,7,8,10,12]]=>[[1,2,4,7,8,10],[3,5,6,9,11,12]]=>[3,5,6,9,11,12,1,2,4,7,8,10]=>[6,6]
[[1,2,3,5,9,10],[4,6,7,8,11,12]]=>[[1,2,4,7,8,9],[3,5,6,10,11,12]]=>[3,5,6,10,11,12,1,2,4,7,8,9]=>[6,6]
[[1,2,3,5,8,11],[4,6,7,9,10,12]]=>[[1,2,4,7,9,10],[3,5,6,8,11,12]]=>[3,5,6,8,11,12,1,2,4,7,9,10]=>[6,6]
[[1,2,3,5,8,10],[4,6,7,9,11,12]]=>[[1,2,4,7,9,11],[3,5,6,8,10,12]]=>[3,5,6,8,10,12,1,2,4,7,9,11]=>[6,6]
[[1,2,3,5,8,9],[4,6,7,10,11,12]]=>[[1,2,4,7,8,11],[3,5,6,9,10,12]]=>[3,5,6,9,10,12,1,2,4,7,8,11]=>[6,6]
[[1,2,3,5,7,11],[4,6,8,9,10,12]]=>[[1,2,4,6,9,10],[3,5,7,8,11,12]]=>[3,5,7,8,11,12,1,2,4,6,9,10]=>[6,6]
[[1,2,3,5,7,10],[4,6,8,9,11,12]]=>[[1,2,4,6,9,11],[3,5,7,8,10,12]]=>[3,5,7,8,10,12,1,2,4,6,9,11]=>[6,6]
[[1,2,3,5,7,9],[4,6,8,10,11,12]]=>[[1,2,4,6,8,11],[3,5,7,9,10,12]]=>[3,5,7,9,10,12,1,2,4,6,8,11]=>[6,6]
[[1,2,3,5,7,8],[4,6,9,10,11,12]]=>[[1,2,4,6,7,11],[3,5,8,9,10,12]]=>[3,5,8,9,10,12,1,2,4,6,7,11]=>[6,6]
[[1,2,3,5,6,11],[4,7,8,9,10,12]]=>[[1,2,4,5,9,10],[3,6,7,8,11,12]]=>[3,6,7,8,11,12,1,2,4,5,9,10]=>[6,6]
[[1,2,3,5,6,10],[4,7,8,9,11,12]]=>[[1,2,4,5,9,11],[3,6,7,8,10,12]]=>[3,6,7,8,10,12,1,2,4,5,9,11]=>[6,6]
[[1,2,3,5,6,9],[4,7,8,10,11,12]]=>[[1,2,4,5,8,11],[3,6,7,9,10,12]]=>[3,6,7,9,10,12,1,2,4,5,8,11]=>[6,6]
[[1,2,3,5,6,8],[4,7,9,10,11,12]]=>[[1,2,4,5,7,11],[3,6,8,9,10,12]]=>[3,6,8,9,10,12,1,2,4,5,7,11]=>[6,6]
[[1,2,3,5,6,7],[4,8,9,10,11,12]]=>[[1,2,4,5,6,11],[3,7,8,9,10,12]]=>[3,7,8,9,10,12,1,2,4,5,6,11]=>[6,6]
[[1,2,3,4,9,11],[5,6,7,8,10,12]]=>[[1,2,3,7,8,10],[4,5,6,9,11,12]]=>[4,5,6,9,11,12,1,2,3,7,8,10]=>[6,6]
[[1,2,3,4,9,10],[5,6,7,8,11,12]]=>[[1,2,3,7,8,9],[4,5,6,10,11,12]]=>[4,5,6,10,11,12,1,2,3,7,8,9]=>[6,6]
[[1,2,3,4,8,11],[5,6,7,9,10,12]]=>[[1,2,3,7,9,10],[4,5,6,8,11,12]]=>[4,5,6,8,11,12,1,2,3,7,9,10]=>[6,6]
[[1,2,3,4,8,10],[5,6,7,9,11,12]]=>[[1,2,3,7,9,11],[4,5,6,8,10,12]]=>[4,5,6,8,10,12,1,2,3,7,9,11]=>[6,6]
[[1,2,3,4,8,9],[5,6,7,10,11,12]]=>[[1,2,3,7,8,11],[4,5,6,9,10,12]]=>[4,5,6,9,10,12,1,2,3,7,8,11]=>[6,6]
[[1,2,3,4,7,11],[5,6,8,9,10,12]]=>[[1,2,3,6,9,10],[4,5,7,8,11,12]]=>[4,5,7,8,11,12,1,2,3,6,9,10]=>[6,6]
[[1,2,3,4,7,10],[5,6,8,9,11,12]]=>[[1,2,3,6,9,11],[4,5,7,8,10,12]]=>[4,5,7,8,10,12,1,2,3,6,9,11]=>[6,6]
[[1,2,3,4,7,9],[5,6,8,10,11,12]]=>[[1,2,3,6,8,11],[4,5,7,9,10,12]]=>[4,5,7,9,10,12,1,2,3,6,8,11]=>[6,6]
[[1,2,3,4,7,8],[5,6,9,10,11,12]]=>[[1,2,3,6,7,11],[4,5,8,9,10,12]]=>[4,5,8,9,10,12,1,2,3,6,7,11]=>[6,6]
[[1,2,3,4,6,11],[5,7,8,9,10,12]]=>[[1,2,3,5,9,10],[4,6,7,8,11,12]]=>[4,6,7,8,11,12,1,2,3,5,9,10]=>[6,6]
[[1,2,3,4,6,10],[5,7,8,9,11,12]]=>[[1,2,3,5,9,11],[4,6,7,8,10,12]]=>[4,6,7,8,10,12,1,2,3,5,9,11]=>[6,6]
[[1,2,3,4,6,9],[5,7,8,10,11,12]]=>[[1,2,3,5,8,11],[4,6,7,9,10,12]]=>[4,6,7,9,10,12,1,2,3,5,8,11]=>[6,6]
[[1,2,3,4,6,8],[5,7,9,10,11,12]]=>[[1,2,3,5,7,11],[4,6,8,9,10,12]]=>[4,6,8,9,10,12,1,2,3,5,7,11]=>[6,6]
[[1,2,3,4,6,7],[5,8,9,10,11,12]]=>[[1,2,3,5,6,11],[4,7,8,9,10,12]]=>[4,7,8,9,10,12,1,2,3,5,6,11]=>[6,6]
[[1,2,3,4,5,11],[6,7,8,9,10,12]]=>[[1,2,3,4,9,10],[5,6,7,8,11,12]]=>[5,6,7,8,11,12,1,2,3,4,9,10]=>[6,6]
[[1,2,3,4,5,10],[6,7,8,9,11,12]]=>[[1,2,3,4,9,11],[5,6,7,8,10,12]]=>[5,6,7,8,10,12,1,2,3,4,9,11]=>[6,6]
[[1,2,3,4,5,9],[6,7,8,10,11,12]]=>[[1,2,3,4,8,11],[5,6,7,9,10,12]]=>[5,6,7,9,10,12,1,2,3,4,8,11]=>[6,6]
[[1,2,3,4,5,8],[6,7,9,10,11,12]]=>[[1,2,3,4,7,11],[5,6,8,9,10,12]]=>[5,6,8,9,10,12,1,2,3,4,7,11]=>[6,6]
[[1,2,3,4,5,7],[6,8,9,10,11,12]]=>[[1,2,3,4,6,11],[5,7,8,9,10,12]]=>[5,7,8,9,10,12,1,2,3,4,6,11]=>[6,6]
[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[[1,2,3,4,5,11],[6,7,8,9,10,12]]=>[6,7,8,9,10,12,1,2,3,4,5,11]=>[6,6]
[[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]]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1,2,3,4,5,6,7,9]=>[1,8]
[[1,2,3,4,5,6,7],[8,9]]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>[2,7]
[[1,2,3,4,5,6,7],[8],[9]]=>[[1,2,3,4,5,6,9],[7],[8]]=>[8,7,1,2,3,4,5,6,9]=>[1,1,7]
[[1,2,3,4,5,6],[7,8,9]]=>[[1,2,3,4,5,9],[6,7,8]]=>[6,7,8,1,2,3,4,5,9]=>[3,6]
[[1,2,3,4,5],[6,7,8,9]]=>[[1,2,3,4,9],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9]=>[4,5]
[[1,2,3,4,5],[6,7],[8,9]]=>[[1,2,3,4,9],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4,9]=>[2,2,5]
[[1,2,3,4],[5],[6],[7],[8],[9]]=>[[1,2,3,9],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3,9]=>[1,1,1,1,1,4]
[[1,2,3],[4,5],[6,7],[8,9]]=>[[1,2,9],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9]=>[2,2,2,3]
[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9]=>[1,1,1,1,1,1,3]
[[1,2],[3,4],[5,6],[7,8],[9]]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3]=>[1,2,2,2,2]
[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,2]
[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1]
[[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]=>[10]
[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1,2,3,4,5,6,7,8,10]=>[1,9]
[[1,2,3,4,5,6,7,8],[9,10]]=>[[1,2,3,4,5,6,7,10],[8,9]]=>[8,9,1,2,3,4,5,6,7,10]=>[2,8]
[[1,2,3,4,5,6,7],[8,9,10]]=>[[1,2,3,4,5,6,10],[7,8,9]]=>[7,8,9,1,2,3,4,5,6,10]=>[3,7]
[[1,2,3,4,5,6],[7,8,9,10]]=>[[1,2,3,4,5,10],[6,7,8,9]]=>[6,7,8,9,1,2,3,4,5,10]=>[4,6]
[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[[1,2,3,4,5,10],[6],[7],[8],[9]]=>[9,8,7,6,1,2,3,4,5,10]=>[1,1,1,1,6]
[[1,2,3,4],[5,6,7],[8,9,10]]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>[7,8,9,4,5,6,1,2,3,10]=>[3,3,4]
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2,10]=>[1,1,1,1,1,1,1,3]
[[1,2],[3,4],[5,6],[7,8],[9,10]]=>[[1,3],[2,5],[4,7],[6,9],[8,10]]=>[8,10,6,9,4,7,2,5,1,3]=>[2,2,2,2,2]
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,2]
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1]
[[1,2,3,4],[5,6,7,8],[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]=>[3,4,4]
[[1,2,3],[4,5,6],[7,8,9],[10,11]]=>[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>[9,10,6,7,11,3,4,8,1,2,5]=>[2,3,3,3]
[[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]=>[12]
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,4,7,2,5,1,3]=>[2,2,2,2,2,2]
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,1]
[[1,3,4,5,6,7,8,9],[2]]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[1,8]
[[1,2,5,6,7,8,9],[3,4]]=>[[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>[2,7]
[[1,4,5,6,7,8,9],[2],[3]]=>[[1,3,4,5,6,7,8],[2],[9]]=>[9,2,1,3,4,5,6,7,8]=>[1,1,7]
[[1,2,3,7,8,9],[4,5,6]]=>[[1,2,5,6,7,8],[3,4,9]]=>[3,4,9,1,2,5,6,7,8]=>[3,6]
[[1,3,6,7,8,9],[2,5],[4]]=>[[1,2,5,6,7,8],[3,4],[9]]=>[9,3,4,1,2,5,6,7,8]=>[1,2,6]
[[1,3,4,5],[2,7,8,9],[6]]=>[[1,2,3,4],[5,6,7,8],[9]]=>[9,5,6,7,8,1,2,3,4]=>[1,4,4]
[[1,7,8,9],[2],[3],[4],[5],[6]]=>[[1,6,7,8],[2],[3],[4],[5],[9]]=>[9,5,4,3,2,1,6,7,8]=>[1,1,1,1,1,4]
[[1,2,9],[3,4],[5,6],[7,8]]=>[[1,3,8],[2,5],[4,7],[6,9]]=>[6,9,4,7,2,5,1,3,8]=>[2,2,2,3]
[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[[1,7,8],[2],[3],[4],[5],[6],[9]]=>[9,6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,3]
[[1,3],[2,5],[4,7],[6,9],[8]]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,3,4,1,2]=>[1,2,2,2,2]
[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,2]
[[1,3,4,5,6,7,8,9,10],[2]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[1,9]
[[1,2,5,6,7,8,9,10],[3,4]]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[2,10,1,3,4,5,6,7,8,9]=>[2,8]
[[1,4,5,6,7,8,9,10],[2],[3]]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[10,2,1,3,4,5,6,7,8,9]=>[1,1,8]
[[1,3,6,7,8,9,10],[2,5],[4]]=>[[1,2,5,6,7,8,9],[3,4],[10]]=>[10,3,4,1,2,5,6,7,8,9]=>[1,2,7]
[[1,3,6,10],[2,5,9],[4,8],[7]]=>[[1,2,5,9],[3,4,8],[6,7],[10]]=>[10,6,7,3,4,8,1,2,5,9]=>[1,2,3,4]
[[1,3,4],[2,6,7],[5,9,10],[8]]=>[[1,2,3],[4,5,6],[7,8,9],[10]]=>[10,7,8,9,4,5,6,1,2,3]=>[1,3,3,3]
[[1,3,10],[2,5],[4,7],[6,9],[8]]=>[[1,2,9],[3,4],[5,6],[7,8],[10]]=>[10,7,8,5,6,3,4,1,2,9]=>[1,2,2,2,3]
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[[1,8,9],[2],[3],[4],[5],[6],[7],[10]]=>[10,7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,3]
[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[10,8,6,9,4,7,2,5,1,3]=>[1,1,2,2,2,2]
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[10,8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,2]
[[1,8],[2,9],[3],[4],[5],[6],[7]]=>[[1,7],[2,8],[3],[4],[5],[6],[9]]=>[9,6,5,4,3,2,8,1,7]=>[1,1,1,1,1,2,2]
[[1,6],[2,7],[3,8],[4,9],[5]]=>[[1,5],[2,6],[3,7],[4,8],[9]]=>[9,4,8,3,7,2,6,1,5]=>[1,2,2,2,2]
[[1,4,6,8],[2,5,7,9],[3]]=>[[1,3,5,7],[2,4,6,8],[9]]=>[9,2,4,6,8,1,3,5,7]=>[1,4,4]
[[1,3,5,7,9],[2,4,6,8]]=>[[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>[4,5]
[[1,3,5,6,7,8,9],[2,4]]=>[[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>[2,7]
[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[[1,5],[2,6],[3,7],[4,8],[9,10]]=>[9,10,4,8,3,7,2,6,1,5]=>[2,2,2,2,2]
[[1,5,8],[2,6,9],[3,7,10],[4]]=>[[1,4,7],[2,5,8],[3,6,9],[10]]=>[10,3,6,9,2,5,8,1,4,7]=>[1,3,3,3]
[[1,3,5,6,7,8,9,10],[2,4]]=>[[1,2,4,5,6,7,8,9],[3,10]]=>[3,10,1,2,4,5,6,7,8,9]=>[2,8]
[[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]=>[1,1,1,1,1,2,2]
[[1,2,6],[3,7],[4,8],[5,9]]=>[[1,5,9],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5,9]=>[2,2,2,3]
[[1,2,4,6,8],[3,5,7,9]]=>[[1,3,5,7,9],[2,4,6,8]]=>[2,4,6,8,1,3,5,7,9]=>[4,5]
[[1,2,3,4,5,6,8],[7,9]]=>[[1,2,3,4,5,7,9],[6,8]]=>[6,8,1,2,3,4,5,7,9]=>[2,7]
[[1,2,5,8],[3,6,9],[4,7,10]]=>[[1,4,7,10],[2,5,8],[3,6,9]]=>[3,6,9,2,5,8,1,4,7,10]=>[3,3,4]
[[1,2,3,5,7,9],[4,6,8,10]]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10]=>[4,6]
[[1,2,3,4,5,7,9],[6,8,10]]=>[[1,2,3,4,6,8,10],[5,7,9]]=>[5,7,9,1,2,3,4,6,8,10]=>[3,7]
[[1,2,3,4,5,6,7,9],[8,10]]=>[[1,2,3,4,5,6,8,10],[7,9]]=>[7,9,1,2,3,4,5,6,8,10]=>[2,8]
[[1,2],[3,4],[5,6],[7,9],[8,10]]=>[[1,3],[2,5],[4,8],[6,9],[7,10]]=>[7,10,6,9,4,8,2,5,1,3]=>[2,2,2,2,2]
[[1,2],[3,4],[5,7],[6,8],[9,10]]=>[[1,3],[2,6],[4,7],[5,9],[8,10]]=>[8,10,5,9,4,7,2,6,1,3]=>[2,2,2,2,2]
[[1,2],[3,4],[5,7],[6,9],[8,10]]=>[[1,3],[2,6],[4,8],[5,9],[7,10]]=>[7,10,5,9,4,8,2,6,1,3]=>[2,2,2,2,2]
[[1,2],[3,4],[5,8],[6,9],[7,10]]=>[[1,3],[2,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,2,7,1,3]=>[2,2,2,2,2]
[[1,2],[3,5],[4,6],[7,8],[9,10]]=>[[1,4],[2,5],[3,7],[6,9],[8,10]]=>[8,10,6,9,3,7,2,5,1,4]=>[2,2,2,2,2]
[[1,2],[3,5],[4,6],[7,9],[8,10]]=>[[1,4],[2,5],[3,8],[6,9],[7,10]]=>[7,10,6,9,3,8,2,5,1,4]=>[2,2,2,2,2]
[[1,2],[3,5],[4,7],[6,8],[9,10]]=>[[1,4],[2,6],[3,7],[5,9],[8,10]]=>[8,10,5,9,3,7,2,6,1,4]=>[2,2,2,2,2]
[[1,2],[3,5],[4,7],[6,9],[8,10]]=>[[1,4],[2,6],[3,8],[5,9],[7,10]]=>[7,10,5,9,3,8,2,6,1,4]=>[2,2,2,2,2]
[[1,2],[3,5],[4,8],[6,9],[7,10]]=>[[1,4],[2,7],[3,8],[5,9],[6,10]]=>[6,10,5,9,3,8,2,7,1,4]=>[2,2,2,2,2]
[[1,2],[3,6],[4,7],[5,8],[9,10]]=>[[1,5],[2,6],[3,7],[4,9],[8,10]]=>[8,10,4,9,3,7,2,6,1,5]=>[2,2,2,2,2]
[[1,2],[3,6],[4,7],[5,9],[8,10]]=>[[1,5],[2,6],[3,8],[4,9],[7,10]]=>[7,10,4,9,3,8,2,6,1,5]=>[2,2,2,2,2]
[[1,2],[3,6],[4,8],[5,9],[7,10]]=>[[1,5],[2,7],[3,8],[4,9],[6,10]]=>[6,10,4,9,3,8,2,7,1,5]=>[2,2,2,2,2]
[[1,2],[3,7],[4,8],[5,9],[6,10]]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,10,4,9,3,8,2,7,1,6]=>[2,2,2,2,2]
[[1,3],[2,4],[5,6],[7,8],[9,10]]=>[[1,2],[3,5],[4,7],[6,9],[8,10]]=>[8,10,6,9,4,7,3,5,1,2]=>[2,2,2,2,2]
[[1,3],[2,4],[5,6],[7,9],[8,10]]=>[[1,2],[3,5],[4,8],[6,9],[7,10]]=>[7,10,6,9,4,8,3,5,1,2]=>[2,2,2,2,2]
[[1,3],[2,4],[5,7],[6,8],[9,10]]=>[[1,2],[3,6],[4,7],[5,9],[8,10]]=>[8,10,5,9,4,7,3,6,1,2]=>[2,2,2,2,2]
[[1,3],[2,4],[5,7],[6,9],[8,10]]=>[[1,2],[3,6],[4,8],[5,9],[7,10]]=>[7,10,5,9,4,8,3,6,1,2]=>[2,2,2,2,2]
[[1,3],[2,4],[5,8],[6,9],[7,10]]=>[[1,2],[3,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,3,7,1,2]=>[2,2,2,2,2]
[[1,3],[2,5],[4,6],[7,8],[9,10]]=>[[1,2],[3,4],[5,7],[6,9],[8,10]]=>[8,10,6,9,5,7,3,4,1,2]=>[2,2,2,2,2]
[[1,3],[2,5],[4,6],[7,9],[8,10]]=>[[1,2],[3,4],[5,8],[6,9],[7,10]]=>[7,10,6,9,5,8,3,4,1,2]=>[2,2,2,2,2]
[[1,3],[2,5],[4,7],[6,8],[9,10]]=>[[1,2],[3,4],[5,6],[7,9],[8,10]]=>[8,10,7,9,5,6,3,4,1,2]=>[2,2,2,2,2]
[[1,3],[2,5],[4,7],[6,9],[8,10]]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,3,4,1,2]=>[2,2,2,2,2]
[[1,3],[2,5],[4,8],[6,9],[7,10]]=>[[1,2],[3,4],[5,7],[6,8],[9,10]]=>[9,10,6,8,5,7,3,4,1,2]=>[2,2,2,2,2]
[[1,3],[2,6],[4,7],[5,8],[9,10]]=>[[1,2],[3,5],[4,6],[7,9],[8,10]]=>[8,10,7,9,4,6,3,5,1,2]=>[2,2,2,2,2]
[[1,3],[2,6],[4,7],[5,9],[8,10]]=>[[1,2],[3,5],[4,6],[7,8],[9,10]]=>[9,10,7,8,4,6,3,5,1,2]=>[2,2,2,2,2]
[[1,3],[2,6],[4,8],[5,9],[7,10]]=>[[1,2],[3,5],[4,7],[6,8],[9,10]]=>[9,10,6,8,4,7,3,5,1,2]=>[2,2,2,2,2]
[[1,3],[2,7],[4,8],[5,9],[6,10]]=>[[1,2],[3,6],[4,7],[5,8],[9,10]]=>[9,10,5,8,4,7,3,6,1,2]=>[2,2,2,2,2]
[[1,4],[2,5],[3,6],[7,8],[9,10]]=>[[1,3],[2,4],[5,7],[6,9],[8,10]]=>[8,10,6,9,5,7,2,4,1,3]=>[2,2,2,2,2]
[[1,4],[2,5],[3,6],[7,9],[8,10]]=>[[1,3],[2,4],[5,8],[6,9],[7,10]]=>[7,10,6,9,5,8,2,4,1,3]=>[2,2,2,2,2]
[[1,4],[2,5],[3,7],[6,8],[9,10]]=>[[1,3],[2,4],[5,6],[7,9],[8,10]]=>[8,10,7,9,5,6,2,4,1,3]=>[2,2,2,2,2]
[[1,4],[2,5],[3,7],[6,9],[8,10]]=>[[1,3],[2,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,2,4,1,3]=>[2,2,2,2,2]
[[1,4],[2,5],[3,8],[6,9],[7,10]]=>[[1,3],[2,4],[5,7],[6,8],[9,10]]=>[9,10,6,8,5,7,2,4,1,3]=>[2,2,2,2,2]
[[1,4],[2,6],[3,7],[5,8],[9,10]]=>[[1,3],[2,5],[4,6],[7,9],[8,10]]=>[8,10,7,9,4,6,2,5,1,3]=>[2,2,2,2,2]
[[1,4],[2,6],[3,7],[5,9],[8,10]]=>[[1,3],[2,5],[4,6],[7,8],[9,10]]=>[9,10,7,8,4,6,2,5,1,3]=>[2,2,2,2,2]
[[1,4],[2,6],[3,8],[5,9],[7,10]]=>[[1,3],[2,5],[4,7],[6,8],[9,10]]=>[9,10,6,8,4,7,2,5,1,3]=>[2,2,2,2,2]
[[1,4],[2,7],[3,8],[5,9],[6,10]]=>[[1,3],[2,6],[4,7],[5,8],[9,10]]=>[9,10,5,8,4,7,2,6,1,3]=>[2,2,2,2,2]
[[1,5],[2,6],[3,7],[4,8],[9,10]]=>[[1,4],[2,5],[3,6],[7,9],[8,10]]=>[8,10,7,9,3,6,2,5,1,4]=>[2,2,2,2,2]
[[1,5],[2,6],[3,7],[4,9],[8,10]]=>[[1,4],[2,5],[3,6],[7,8],[9,10]]=>[9,10,7,8,3,6,2,5,1,4]=>[2,2,2,2,2]
[[1,5],[2,6],[3,8],[4,9],[7,10]]=>[[1,4],[2,5],[3,7],[6,8],[9,10]]=>[9,10,6,8,3,7,2,5,1,4]=>[2,2,2,2,2]
[[1,5],[2,7],[3,8],[4,9],[6,10]]=>[[1,4],[2,6],[3,7],[5,8],[9,10]]=>[9,10,5,8,3,7,2,6,1,4]=>[2,2,2,2,2]
[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,4,7,2,5,1,3]=>[2,2,2,2,2,2]
[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,4,8,2,5,1,3]=>[2,2,2,2,2,2]
[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,4,8,2,5,1,3]=>[2,2,2,2,2,2]
[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,4,9,2,5,1,3]=>[2,2,2,2,2,2]
[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>[10,12,8,11,5,9,4,7,2,6,1,3]=>[2,2,2,2,2,2]
[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>[9,12,8,11,5,10,4,7,2,6,1,3]=>[2,2,2,2,2,2]
[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>[10,12,7,11,5,9,4,8,2,6,1,3]=>[2,2,2,2,2,2]
[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>[9,12,7,11,5,10,4,8,2,6,1,3]=>[2,2,2,2,2,2]
[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>[8,12,7,11,5,10,4,9,2,6,1,3]=>[2,2,2,2,2,2]
[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>[10,12,6,11,5,9,4,8,2,7,1,3]=>[2,2,2,2,2,2]
[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>[9,12,6,11,5,10,4,8,2,7,1,3]=>[2,2,2,2,2,2]
[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>[8,12,6,11,5,10,4,9,2,7,1,3]=>[2,2,2,2,2,2]
[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>[7,12,6,11,5,10,4,9,2,8,1,3]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,3,7,2,5,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,3,7,2,5,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,3,8,2,5,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,3,8,2,5,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,3,9,2,5,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>[10,12,8,11,5,9,3,7,2,6,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>[9,12,8,11,5,10,3,7,2,6,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>[10,12,7,11,5,9,3,8,2,6,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>[9,12,7,11,5,10,3,8,2,6,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>[8,12,7,11,5,10,3,9,2,6,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>[10,12,6,11,5,9,3,8,2,7,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>[9,12,6,11,5,10,3,8,2,7,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>[8,12,6,11,5,10,3,9,2,7,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>[7,12,6,11,5,10,3,9,2,8,1,4]=>[2,2,2,2,2,2]
[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>[10,12,8,11,4,9,3,7,2,6,1,5]=>[2,2,2,2,2,2]
[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>[9,12,8,11,4,10,3,7,2,6,1,5]=>[2,2,2,2,2,2]
[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>[10,12,7,11,4,9,3,8,2,6,1,5]=>[2,2,2,2,2,2]
[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>[9,12,7,11,4,10,3,8,2,6,1,5]=>[2,2,2,2,2,2]
[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>[8,12,7,11,4,10,3,9,2,6,1,5]=>[2,2,2,2,2,2]
[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>[10,12,6,11,4,9,3,8,2,7,1,5]=>[2,2,2,2,2,2]
[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>[9,12,6,11,4,10,3,8,2,7,1,5]=>[2,2,2,2,2,2]
[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>[8,12,6,11,4,10,3,9,2,7,1,5]=>[2,2,2,2,2,2]
[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>[7,12,6,11,4,10,3,9,2,8,1,5]=>[2,2,2,2,2,2]
[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>[10,12,5,11,4,9,3,8,2,7,1,6]=>[2,2,2,2,2,2]
[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>[9,12,5,11,4,10,3,8,2,7,1,6]=>[2,2,2,2,2,2]
[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>[8,12,5,11,4,10,3,9,2,7,1,6]=>[2,2,2,2,2,2]
[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>[7,12,5,11,4,10,3,9,2,8,1,6]=>[2,2,2,2,2,2]
[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>[6,12,5,11,4,10,3,9,2,8,1,7]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,4,7,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,4,7,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,4,8,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,4,8,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,4,9,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>[10,12,8,11,5,9,4,7,3,6,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>[9,12,8,11,5,10,4,7,3,6,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>[10,12,7,11,5,9,4,8,3,6,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>[9,12,7,11,5,10,4,8,3,6,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>[8,12,7,11,5,10,4,9,3,6,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>[10,12,6,11,5,9,4,8,3,7,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>[9,12,6,11,5,10,4,8,3,7,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>[8,12,6,11,5,10,4,9,3,7,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>[7,12,6,11,5,10,4,9,3,8,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,5,7,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,5,7,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,5,8,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,5,8,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,5,9,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,5,6,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,5,6,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,5,6,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,5,6,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,5,7,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,5,7,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,5,7,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,5,8,3,4,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,4,6,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,4,6,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,4,6,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,4,6,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,4,6,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,4,7,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,4,7,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,4,7,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,4,8,3,5,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>[10,12,9,11,5,8,4,7,3,6,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>[11,12,9,10,5,8,4,7,3,6,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>[11,12,8,10,5,9,4,7,3,6,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>[11,12,7,10,5,9,4,8,3,6,1,2]=>[2,2,2,2,2,2]
[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>[11,12,6,10,5,9,4,8,3,7,1,2]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,5,7,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,5,7,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,5,8,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,5,8,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,5,9,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,5,6,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,5,6,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,5,6,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,5,6,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,5,6,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,5,7,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,5,7,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,5,7,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,5,8,2,4,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,4,6,2,5,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,4,6,2,5,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,4,6,2,5,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,4,6,2,5,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,4,6,2,5,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,4,7,2,5,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,4,7,2,5,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,4,7,2,5,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,4,8,2,5,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>[10,12,9,11,5,8,4,7,2,6,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>[11,12,9,10,5,8,4,7,2,6,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>[11,12,8,10,5,9,4,7,2,6,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>[11,12,7,10,5,9,4,8,2,6,1,3]=>[2,2,2,2,2,2]
[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>[11,12,6,10,5,9,4,8,2,7,1,3]=>[2,2,2,2,2,2]
[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,3,6,2,5,1,4]=>[2,2,2,2,2,2]
[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,3,6,2,5,1,4]=>[2,2,2,2,2,2]
[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,3,6,2,5,1,4]=>[2,2,2,2,2,2]
[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,3,6,2,5,1,4]=>[2,2,2,2,2,2]
[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,3,6,2,5,1,4]=>[2,2,2,2,2,2]
[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,3,7,2,5,1,4]=>[2,2,2,2,2,2]
[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,3,7,2,5,1,4]=>[2,2,2,2,2,2]
[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,3,7,2,5,1,4]=>[2,2,2,2,2,2]
[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,3,8,2,5,1,4]=>[2,2,2,2,2,2]
[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>[10,12,9,11,5,8,3,7,2,6,1,4]=>[2,2,2,2,2,2]
[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>[11,12,9,10,5,8,3,7,2,6,1,4]=>[2,2,2,2,2,2]
[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>[11,12,8,10,5,9,3,7,2,6,1,4]=>[2,2,2,2,2,2]
[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>[11,12,7,10,5,9,3,8,2,6,1,4]=>[2,2,2,2,2,2]
[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>[11,12,6,10,5,9,3,8,2,7,1,4]=>[2,2,2,2,2,2]
[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>[10,12,9,11,4,8,3,7,2,6,1,5]=>[2,2,2,2,2,2]
[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>[11,12,9,10,4,8,3,7,2,6,1,5]=>[2,2,2,2,2,2]
[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>[11,12,8,10,4,9,3,7,2,6,1,5]=>[2,2,2,2,2,2]
[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>[11,12,7,10,4,9,3,8,2,6,1,5]=>[2,2,2,2,2,2]
[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>[11,12,6,10,4,9,3,8,2,7,1,5]=>[2,2,2,2,2,2]
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>[11,12,5,10,4,9,3,8,2,7,1,6]=>[2,2,2,2,2,2]
[[1,2,3,9],[4],[5],[6],[7],[8]]=>[[1,2,8,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8,9]=>[1,1,1,1,1,4]
[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,3]
[[1,2,3,4,5,6,7,8,10],[9]]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>[1,9]
[[1,2,3,4,5,6,7,10],[8,9]]=>[[1,2,3,4,5,6,9,10],[7,8]]=>[7,8,1,2,3,4,5,6,9,10]=>[2,8]
[[1,2,3,4,5,10],[6,7,8,9]]=>[[1,2,3,4,9,10],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9,10]=>[4,6]
[[1,2,3,4,5,10],[6,7],[8,9]]=>[[1,2,3,4,9,10],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4,9,10]=>[2,2,6]
[[1,2,3,7],[4,5,6,10],[8,9]]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>[7,8,3,4,9,10,1,2,5,6]=>[2,4,4]
[[1,2,3,10],[4,5],[6,7],[8,9]]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9,10]=>[2,2,2,4]
[[1,2,3,10],[4],[5],[6],[7],[8],[9]]=>[[1,2,9,10],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9,10]=>[1,1,1,1,1,1,4]
[[1,2,5],[3,4,8],[6,7,10],[9]]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>[8,5,9,10,2,6,7,1,3,4]=>[1,3,3,3]
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9,10]=>[1,1,1,1,1,1,1,3]
[]=>[]=>[]=>[]
[[1,2,4,5,6,7,8,9],[3]]=>[[1,3,4,5,6,7,8,9],[2]]=>[2,1,3,4,5,6,7,8,9]=>[1,8]
[[1,2,5,7,9],[3,6,8],[4]]=>[[1,4,6,8,9],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8,9]=>[1,3,5]
[[1,4],[2,6],[3,8],[5],[7],[9]]=>[[1,3],[2,5],[4,7],[6],[8],[9]]=>[9,8,6,4,7,2,5,1,3]=>[1,1,1,2,2,2]
[[1,2,4,5,6,7,8,9,10],[3]]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[2,1,3,4,5,6,7,8,9,10]=>[1,9]
[[1,3,5,6,7,8,9,10],[2],[4]]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>[10,3,1,2,4,5,6,7,8,9]=>[1,1,8]
[[1,2,5,7,9,10],[3,6,8],[4]]=>[[1,4,6,8,9,10],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8,9,10]=>[1,3,6]
[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[[1,2],[3,4],[5,6],[7,8],[9],[10]]=>[10,9,7,8,5,6,3,4,1,2]=>[1,1,2,2,2,2]
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]=>[10,9,7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,2]
[[1,3,4,5,6,7,8],[2,9]]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>[2,7]
[[1,3,4,5,6,7,8],[2],[9]]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>[1,1,7]
[[1,3,4,5,6,7],[2,9],[8]]=>[[1,2,3,4,5,6],[7,8],[9]]=>[9,7,8,1,2,3,4,5,6]=>[1,2,6]
[[1,3,4,5,6,7],[2],[8],[9]]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6]=>[1,1,1,6]
[[1,3,4,5,6],[2,8,9],[7]]=>[[1,2,3,4,5],[6,7,8],[9]]=>[9,6,7,8,1,2,3,4,5]=>[1,3,5]
[[1,3,4,5,6],[2,8],[7],[9]]=>[[1,2,3,4,5],[6,7],[8],[9]]=>[9,8,6,7,1,2,3,4,5]=>[1,1,2,5]
[[1,3,4,5,6],[2],[7],[8],[9]]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[9,8,7,6,1,2,3,4,5]=>[1,1,1,1,5]
[[1,3,4,5],[2,7,8],[6],[9]]=>[[1,2,3,4],[5,6,7],[8],[9]]=>[9,8,5,6,7,1,2,3,4]=>[1,1,3,4]
[[1,3,4,5],[2,7],[6,9],[8]]=>[[1,2,3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,1,2,3,4]=>[1,2,2,4]
[[1,3,4,5],[2,7],[6],[8],[9]]=>[[1,2,3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,1,2,3,4]=>[1,1,1,2,4]
[[1,3,4,5],[2],[6],[7],[8],[9]]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,1,2,3,4]=>[1,1,1,1,1,4]
[[1,3,4],[2,6,7],[5,9],[8]]=>[[1,2,3],[4,5,6],[7,8],[9]]=>[9,7,8,4,5,6,1,2,3]=>[1,2,3,3]
[[1,3,4],[2,6,7],[5],[8],[9]]=>[[1,2,3],[4,5,6],[7],[8],[9]]=>[9,8,7,4,5,6,1,2,3]=>[1,1,1,3,3]
[[1,3,4],[2,6],[5,8],[7],[9]]=>[[1,2,3],[4,5],[6,7],[8],[9]]=>[9,8,6,7,4,5,1,2,3]=>[1,1,2,2,3]
[[1,3,4],[2,6],[5],[7],[8],[9]]=>[[1,2,3],[4,5],[6],[7],[8],[9]]=>[9,8,7,6,4,5,1,2,3]=>[1,1,1,1,2,3]
[[1,3,4],[2],[5],[6],[7],[8],[9]]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3]=>[1,1,1,1,1,1,3]
[[1,3],[2,5],[4,7],[6],[8],[9]]=>[[1,2],[3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,3,4,1,2]=>[1,1,1,2,2,2]
[[1,3],[2,5],[4],[6],[7],[8],[9]]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,3,4,1,2]=>[1,1,1,1,1,2,2]
[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,2]
[[1,3,4,5,6,7,8,9],[2,10]]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>[2,8]
[[1,3,4,5,6,7,8,9],[2],[10]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[1,1,8]
[[1,3,4,5,6,7,8],[2,10],[9]]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[10,8,9,1,2,3,4,5,6,7]=>[1,2,7]
[[1,3,4,5,6,7,8],[2],[9],[10]]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10,9,8,1,2,3,4,5,6,7]=>[1,1,1,7]
[[1,3,4,5,6,7],[2,9,10],[8]]=>[[1,2,3,4,5,6],[7,8,9],[10]]=>[10,7,8,9,1,2,3,4,5,6]=>[1,3,6]
[[1,3,4,5,6,7],[2,9],[8],[10]]=>[[1,2,3,4,5,6],[7,8],[9],[10]]=>[10,9,7,8,1,2,3,4,5,6]=>[1,1,2,6]
[[1,3,4,5,6,7],[2],[8],[9],[10]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,1,2,3,4,5,6]=>[1,1,1,1,6]
[[1,3,4,5,6],[2,8,9,10],[7]]=>[[1,2,3,4,5],[6,7,8,9],[10]]=>[10,6,7,8,9,1,2,3,4,5]=>[1,4,5]
[[1,3,4,5,6],[2,8,9],[7],[10]]=>[[1,2,3,4,5],[6,7,8],[9],[10]]=>[10,9,6,7,8,1,2,3,4,5]=>[1,1,3,5]
[[1,3,4,5,6],[2,8],[7,10],[9]]=>[[1,2,3,4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,1,2,3,4,5]=>[1,2,2,5]
[[1,3,4,5,6],[2,8],[7],[9],[10]]=>[[1,2,3,4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,1,2,3,4,5]=>[1,1,1,2,5]
[[1,3,4,5,6],[2],[7],[8],[9],[10]]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,1,2,3,4,5]=>[1,1,1,1,1,5]
[[1,3,4,5],[2,7,8,9],[6,10]]=>[[1,2,3,4],[5,6,7,8],[9,10]]=>[9,10,5,6,7,8,1,2,3,4]=>[2,4,4]
[[1,3,4,5],[2,7,8,9],[6],[10]]=>[[1,2,3,4],[5,6,7,8],[9],[10]]=>[10,9,5,6,7,8,1,2,3,4]=>[1,1,4,4]
[[1,3,4,5],[2,7,8],[6,10],[9]]=>[[1,2,3,4],[5,6,7],[8,9],[10]]=>[10,8,9,5,6,7,1,2,3,4]=>[1,2,3,4]
[[1,3,4,5],[2,7,8],[6],[9],[10]]=>[[1,2,3,4],[5,6,7],[8],[9],[10]]=>[10,9,8,5,6,7,1,2,3,4]=>[1,1,1,3,4]
[[1,3,4,5],[2,7],[6,9],[8],[10]]=>[[1,2,3,4],[5,6],[7,8],[9],[10]]=>[10,9,7,8,5,6,1,2,3,4]=>[1,1,2,2,4]
[[1,3,4,5],[2,7],[6],[8],[9],[10]]=>[[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[10,9,8,7,5,6,1,2,3,4]=>[1,1,1,1,2,4]
[[1,3,4,5],[2],[6],[7],[8],[9],[10]]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,1,2,3,4]=>[1,1,1,1,1,1,4]
[[1,3,4],[2,6,7],[5,9],[8],[10]]=>[[1,2,3],[4,5,6],[7,8],[9],[10]]=>[10,9,7,8,4,5,6,1,2,3]=>[1,1,2,3,3]
[[1,3,4],[2,6,7],[5],[8],[9],[10]]=>[[1,2,3],[4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,4,5,6,1,2,3]=>[1,1,1,1,3,3]
[[1,3,4],[2,6],[5,8],[7,10],[9]]=>[[1,2,3],[4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,4,5,1,2,3]=>[1,2,2,2,3]
[[1,3,4],[2,6],[5,8],[7],[9],[10]]=>[[1,2,3],[4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,4,5,1,2,3]=>[1,1,1,2,2,3]
[[1,3,4],[2,6],[5],[7],[8],[9],[10]]=>[[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,4,5,1,2,3]=>[1,1,1,1,1,2,3]
[[1,3,4],[2],[5],[6],[7],[8],[9],[10]]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,3]
[[1,3],[2,5],[4,7],[6],[8],[9],[10]]=>[[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>[10,9,8,7,5,6,3,4,1,2]=>[1,1,1,1,2,2,2]
[[1,3],[2,5],[4],[6],[7],[8],[9],[10]]=>[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,3,4,1,2]=>[1,1,1,1,1,1,2,2]
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,2]
[[1,2,4,6,8,10],[3,5,7,9]]=>[[1,3,5,7,9,10],[2,4,6,8]]=>[2,4,6,8,1,3,5,7,9,10]=>[4,6]
[[1,2,4,6,8,9,10],[3,5,7]]=>[[1,3,5,7,8,9,10],[2,4,6]]=>[2,4,6,1,3,5,7,8,9,10]=>[3,7]
[[1,2,4,6,7,8,9,10],[3,5]]=>[[1,3,5,6,7,8,9,10],[2,4]]=>[2,4,1,3,5,6,7,8,9,10]=>[2,8]
[[1,2,3,4,6,8,10],[5,7,9]]=>[[1,2,3,5,7,9,10],[4,6,8]]=>[4,6,8,1,2,3,5,7,9,10]=>[3,7]
[[1,2,3,5,6,8,10],[4,7,9]]=>[[1,2,4,5,7,9,10],[3,6,8]]=>[3,6,8,1,2,4,5,7,9,10]=>[3,7]
[[1,2,3,5,7,8,10],[4,6,9]]=>[[1,2,4,6,7,9,10],[3,5,8]]=>[3,5,8,1,2,4,6,7,9,10]=>[3,7]
[[1,2,3,5,7,9,10],[4,6,8]]=>[[1,2,4,6,8,9,10],[3,5,7]]=>[3,5,7,1,2,4,6,8,9,10]=>[3,7]
[[1,2,3,5,7,8,9,10],[4,6]]=>[[1,2,4,6,7,8,9,10],[3,5]]=>[3,5,1,2,4,6,7,8,9,10]=>[2,8]
[[1,2,3,5,6,7,8,10],[4,9]]=>[[1,2,4,5,6,7,9,10],[3,8]]=>[3,8,1,2,4,5,6,7,9,10]=>[2,8]
[[1,2,3,5,6,7,9,10],[4,8]]=>[[1,2,4,5,6,8,9,10],[3,7]]=>[3,7,1,2,4,5,6,8,9,10]=>[2,8]
[[1,2,3,5,6,8,9,10],[4,7]]=>[[1,2,4,5,7,8,9,10],[3,6]]=>[3,6,1,2,4,5,7,8,9,10]=>[2,8]
[[1,2,3,5,6,7,8,9,10],[4]]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[1,9]
[[1,2,3,4,5,6,8,10],[7,9]]=>[[1,2,3,4,5,7,9,10],[6,8]]=>[6,8,1,2,3,4,5,7,9,10]=>[2,8]
[[1,2,3,4,5,6,9,10],[7,8]]=>[[1,2,3,4,5,8,9,10],[6,7]]=>[6,7,1,2,3,4,5,8,9,10]=>[2,8]
[[1,2,3,4,5,7,8,10],[6,9]]=>[[1,2,3,4,6,7,9,10],[5,8]]=>[5,8,1,2,3,4,6,7,9,10]=>[2,8]
[[1,2,3,4,5,7,9,10],[6,8]]=>[[1,2,3,4,6,8,9,10],[5,7]]=>[5,7,1,2,3,4,6,8,9,10]=>[2,8]
[[1,2,3,4,5,8,9,10],[6,7]]=>[[1,2,3,4,7,8,9,10],[5,6]]=>[5,6,1,2,3,4,7,8,9,10]=>[2,8]
[[1,2,3,4,6,7,8,10],[5,9]]=>[[1,2,3,5,6,7,9,10],[4,8]]=>[4,8,1,2,3,5,6,7,9,10]=>[2,8]
[[1,2,3,4,6,7,9,10],[5,8]]=>[[1,2,3,5,6,8,9,10],[4,7]]=>[4,7,1,2,3,5,6,8,9,10]=>[2,8]
[[1,2,3,4,6,8,9,10],[5,7]]=>[[1,2,3,5,7,8,9,10],[4,6]]=>[4,6,1,2,3,5,7,8,9,10]=>[2,8]
[[1,2,3,4,6,7,8,9,10],[5]]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[1,9]
[[1,2,3,4,5,6,7,9,10],[8]]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,1,2,3,4,5,6,8,9,10]=>[1,9]
[[1,2,3,4,5,6,8,9,10],[7]]=>[[1,2,3,4,5,7,8,9,10],[6]]=>[6,1,2,3,4,5,7,8,9,10]=>[1,9]
[[1,2,3,4,5,7,8,9,10],[6]]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[5,1,2,3,4,6,7,8,9,10]=>[1,9]
[[1,2,3,4,6,8,10,12],[5,7,9,11]]=>[[1,2,3,5,7,9,11,12],[4,6,8,10]]=>[4,6,8,10,1,2,3,5,7,9,11,12]=>[4,8]
[[1,2,3,5,6,8,10,12],[4,7,9,11]]=>[[1,2,4,5,7,9,11,12],[3,6,8,10]]=>[3,6,8,10,1,2,4,5,7,9,11,12]=>[4,8]
[[1,2,3,5,7,8,10,12],[4,6,9,11]]=>[[1,2,4,6,7,9,11,12],[3,5,8,10]]=>[3,5,8,10,1,2,4,6,7,9,11,12]=>[4,8]
[[1,2,3,5,7,9,10,12],[4,6,8,11]]=>[[1,2,4,6,8,9,11,12],[3,5,7,10]]=>[3,5,7,10,1,2,4,6,8,9,11,12]=>[4,8]
[[1,2,3,5,7,9,11,12],[4,6,8,10]]=>[[1,2,4,6,8,10,11,12],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10,11,12]=>[4,8]
[[1,2,3,5,7,9,10,11,12],[4,6,8]]=>[[1,2,4,6,8,9,10,11,12],[3,5,7]]=>[3,5,7,1,2,4,6,8,9,10,11,12]=>[3,9]
[[1,2,3,5,7,8,9,10,12],[4,6,11]]=>[[1,2,4,6,7,8,9,11,12],[3,5,10]]=>[3,5,10,1,2,4,6,7,8,9,11,12]=>[3,9]
[[1,2,3,5,7,8,9,11,12],[4,6,10]]=>[[1,2,4,6,7,8,10,11,12],[3,5,9]]=>[3,5,9,1,2,4,6,7,8,10,11,12]=>[3,9]
[[1,2,3,5,7,8,10,11,12],[4,6,9]]=>[[1,2,4,6,7,9,10,11,12],[3,5,8]]=>[3,5,8,1,2,4,6,7,9,10,11,12]=>[3,9]
[[1,2,3,5,7,8,9,10,11,12],[4,6]]=>[[1,2,4,6,7,8,9,10,11,12],[3,5]]=>[3,5,1,2,4,6,7,8,9,10,11,12]=>[2,10]
[[1,2,3,5,6,7,8,10,12],[4,9,11]]=>[[1,2,4,5,6,7,9,11,12],[3,8,10]]=>[3,8,10,1,2,4,5,6,7,9,11,12]=>[3,9]
[[1,2,3,5,6,7,8,11,12],[4,9,10]]=>[[1,2,4,5,6,7,10,11,12],[3,8,9]]=>[3,8,9,1,2,4,5,6,7,10,11,12]=>[3,9]
[[1,2,3,5,6,7,9,10,12],[4,8,11]]=>[[1,2,4,5,6,8,9,11,12],[3,7,10]]=>[3,7,10,1,2,4,5,6,8,9,11,12]=>[3,9]
[[1,2,3,5,6,7,9,11,12],[4,8,10]]=>[[1,2,4,5,6,8,10,11,12],[3,7,9]]=>[3,7,9,1,2,4,5,6,8,10,11,12]=>[3,9]
[[1,2,3,5,6,7,10,11,12],[4,8,9]]=>[[1,2,4,5,6,9,10,11,12],[3,7,8]]=>[3,7,8,1,2,4,5,6,9,10,11,12]=>[3,9]
[[1,2,3,5,6,8,9,10,12],[4,7,11]]=>[[1,2,4,5,7,8,9,11,12],[3,6,10]]=>[3,6,10,1,2,4,5,7,8,9,11,12]=>[3,9]
[[1,2,3,5,6,8,9,11,12],[4,7,10]]=>[[1,2,4,5,7,8,10,11,12],[3,6,9]]=>[3,6,9,1,2,4,5,7,8,10,11,12]=>[3,9]
[[1,2,3,5,6,8,10,11,12],[4,7,9]]=>[[1,2,4,5,7,9,10,11,12],[3,6,8]]=>[3,6,8,1,2,4,5,7,9,10,11,12]=>[3,9]
[[1,2,3,5,6,8,9,10,11,12],[4,7]]=>[[1,2,4,5,7,8,9,10,11,12],[3,6]]=>[3,6,1,2,4,5,7,8,9,10,11,12]=>[2,10]
[[1,2,3,5,6,7,8,9,10,12],[4,11]]=>[[1,2,4,5,6,7,8,9,11,12],[3,10]]=>[3,10,1,2,4,5,6,7,8,9,11,12]=>[2,10]
[[1,2,3,5,6,7,8,9,11,12],[4,10]]=>[[1,2,4,5,6,7,8,10,11,12],[3,9]]=>[3,9,1,2,4,5,6,7,8,10,11,12]=>[2,10]
[[1,2,3,5,6,7,8,10,11,12],[4,9]]=>[[1,2,4,5,6,7,9,10,11,12],[3,8]]=>[3,8,1,2,4,5,6,7,9,10,11,12]=>[2,10]
[[1,2,3,5,6,7,9,10,11,12],[4,8]]=>[[1,2,4,5,6,8,9,10,11,12],[3,7]]=>[3,7,1,2,4,5,6,8,9,10,11,12]=>[2,10]
[[1,2,3,5,6,7,8,9,10,11,12],[4]]=>[[1,2,4,5,6,7,8,9,10,11,12],[3]]=>[3,1,2,4,5,6,7,8,9,10,11,12]=>[1,11]
[[1,2,3,4,5,6,8,10,12],[7,9,11]]=>[[1,2,3,4,5,7,9,11,12],[6,8,10]]=>[6,8,10,1,2,3,4,5,7,9,11,12]=>[3,9]
[[1,2,3,4,5,6,8,11,12],[7,9,10]]=>[[1,2,3,4,5,7,10,11,12],[6,8,9]]=>[6,8,9,1,2,3,4,5,7,10,11,12]=>[3,9]
[[1,2,3,4,5,6,9,10,12],[7,8,11]]=>[[1,2,3,4,5,8,9,11,12],[6,7,10]]=>[6,7,10,1,2,3,4,5,8,9,11,12]=>[3,9]
[[1,2,3,4,5,6,9,11,12],[7,8,10]]=>[[1,2,3,4,5,8,10,11,12],[6,7,9]]=>[6,7,9,1,2,3,4,5,8,10,11,12]=>[3,9]
[[1,2,3,4,5,7,8,10,12],[6,9,11]]=>[[1,2,3,4,6,7,9,11,12],[5,8,10]]=>[5,8,10,1,2,3,4,6,7,9,11,12]=>[3,9]
[[1,2,3,4,5,7,8,11,12],[6,9,10]]=>[[1,2,3,4,6,7,10,11,12],[5,8,9]]=>[5,8,9,1,2,3,4,6,7,10,11,12]=>[3,9]
[[1,2,3,4,5,7,9,10,12],[6,8,11]]=>[[1,2,3,4,6,8,9,11,12],[5,7,10]]=>[5,7,10,1,2,3,4,6,8,9,11,12]=>[3,9]
[[1,2,3,4,5,7,9,11,12],[6,8,10]]=>[[1,2,3,4,6,8,10,11,12],[5,7,9]]=>[5,7,9,1,2,3,4,6,8,10,11,12]=>[3,9]
[[1,2,3,4,5,7,10,11,12],[6,8,9]]=>[[1,2,3,4,6,9,10,11,12],[5,7,8]]=>[5,7,8,1,2,3,4,6,9,10,11,12]=>[3,9]
[[1,2,3,4,5,8,9,10,12],[6,7,11]]=>[[1,2,3,4,7,8,9,11,12],[5,6,10]]=>[5,6,10,1,2,3,4,7,8,9,11,12]=>[3,9]
[[1,2,3,4,5,8,9,11,12],[6,7,10]]=>[[1,2,3,4,7,8,10,11,12],[5,6,9]]=>[5,6,9,1,2,3,4,7,8,10,11,12]=>[3,9]
[[1,2,3,4,5,8,10,11,12],[6,7,9]]=>[[1,2,3,4,7,9,10,11,12],[5,6,8]]=>[5,6,8,1,2,3,4,7,9,10,11,12]=>[3,9]
[[1,2,3,4,5,8,9,10,11,12],[6,7]]=>[[1,2,3,4,7,8,9,10,11,12],[5,6]]=>[5,6,1,2,3,4,7,8,9,10,11,12]=>[2,10]
[[1,2,3,4,6,7,8,10,12],[5,9,11]]=>[[1,2,3,5,6,7,9,11,12],[4,8,10]]=>[4,8,10,1,2,3,5,6,7,9,11,12]=>[3,9]
[[1,2,3,4,6,7,8,11,12],[5,9,10]]=>[[1,2,3,5,6,7,10,11,12],[4,8,9]]=>[4,8,9,1,2,3,5,6,7,10,11,12]=>[3,9]
[[1,2,3,4,6,7,9,10,12],[5,8,11]]=>[[1,2,3,5,6,8,9,11,12],[4,7,10]]=>[4,7,10,1,2,3,5,6,8,9,11,12]=>[3,9]
[[1,2,3,4,6,7,9,11,12],[5,8,10]]=>[[1,2,3,5,6,8,10,11,12],[4,7,9]]=>[4,7,9,1,2,3,5,6,8,10,11,12]=>[3,9]
[[1,2,3,4,6,7,10,11,12],[5,8,9]]=>[[1,2,3,5,6,9,10,11,12],[4,7,8]]=>[4,7,8,1,2,3,5,6,9,10,11,12]=>[3,9]
[[1,2,3,4,6,8,9,10,12],[5,7,11]]=>[[1,2,3,5,7,8,9,11,12],[4,6,10]]=>[4,6,10,1,2,3,5,7,8,9,11,12]=>[3,9]
[[1,2,3,4,6,8,9,11,12],[5,7,10]]=>[[1,2,3,5,7,8,10,11,12],[4,6,9]]=>[4,6,9,1,2,3,5,7,8,10,11,12]=>[3,9]
[[1,2,3,4,6,8,10,11,12],[5,7,9]]=>[[1,2,3,5,7,9,10,11,12],[4,6,8]]=>[4,6,8,1,2,3,5,7,9,10,11,12]=>[3,9]
[[1,2,3,4,6,8,9,10,11,12],[5,7]]=>[[1,2,3,5,7,8,9,10,11,12],[4,6]]=>[4,6,1,2,3,5,7,8,9,10,11,12]=>[2,10]
[[1,2,3,4,6,7,8,9,10,12],[5,11]]=>[[1,2,3,5,6,7,8,9,11,12],[4,10]]=>[4,10,1,2,3,5,6,7,8,9,11,12]=>[2,10]
[[1,2,3,4,6,7,8,9,11,12],[5,10]]=>[[1,2,3,5,6,7,8,10,11,12],[4,9]]=>[4,9,1,2,3,5,6,7,8,10,11,12]=>[2,10]
[[1,2,3,4,6,7,8,10,11,12],[5,9]]=>[[1,2,3,5,6,7,9,10,11,12],[4,8]]=>[4,8,1,2,3,5,6,7,9,10,11,12]=>[2,10]
[[1,2,3,4,6,7,9,10,11,12],[5,8]]=>[[1,2,3,5,6,8,9,10,11,12],[4,7]]=>[4,7,1,2,3,5,6,8,9,10,11,12]=>[2,10]
[[1,2,3,4,6,7,8,9,10,11,12],[5]]=>[[1,2,3,5,6,7,8,9,10,11,12],[4]]=>[4,1,2,3,5,6,7,8,9,10,11,12]=>[1,11]
[[1,2,3,4,5,6,7,8,10,12],[9,11]]=>[[1,2,3,4,5,6,7,9,11,12],[8,10]]=>[8,10,1,2,3,4,5,6,7,9,11,12]=>[2,10]
[[1,2,3,4,5,6,7,8,11,12],[9,10]]=>[[1,2,3,4,5,6,7,10,11,12],[8,9]]=>[8,9,1,2,3,4,5,6,7,10,11,12]=>[2,10]
[[1,2,3,4,5,6,7,9,10,12],[8,11]]=>[[1,2,3,4,5,6,8,9,11,12],[7,10]]=>[7,10,1,2,3,4,5,6,8,9,11,12]=>[2,10]
[[1,2,3,4,5,6,7,9,11,12],[8,10]]=>[[1,2,3,4,5,6,8,10,11,12],[7,9]]=>[7,9,1,2,3,4,5,6,8,10,11,12]=>[2,10]
[[1,2,3,4,5,6,7,10,11,12],[8,9]]=>[[1,2,3,4,5,6,9,10,11,12],[7,8]]=>[7,8,1,2,3,4,5,6,9,10,11,12]=>[2,10]
[[1,2,3,4,5,6,8,9,10,12],[7,11]]=>[[1,2,3,4,5,7,8,9,11,12],[6,10]]=>[6,10,1,2,3,4,5,7,8,9,11,12]=>[2,10]
[[1,2,3,4,5,6,8,9,11,12],[7,10]]=>[[1,2,3,4,5,7,8,10,11,12],[6,9]]=>[6,9,1,2,3,4,5,7,8,10,11,12]=>[2,10]
[[1,2,3,4,5,6,8,10,11,12],[7,9]]=>[[1,2,3,4,5,7,9,10,11,12],[6,8]]=>[6,8,1,2,3,4,5,7,9,10,11,12]=>[2,10]
[[1,2,3,4,5,6,9,10,11,12],[7,8]]=>[[1,2,3,4,5,8,9,10,11,12],[6,7]]=>[6,7,1,2,3,4,5,8,9,10,11,12]=>[2,10]
[[1,2,3,4,5,7,8,9,10,12],[6,11]]=>[[1,2,3,4,6,7,8,9,11,12],[5,10]]=>[5,10,1,2,3,4,6,7,8,9,11,12]=>[2,10]
[[1,2,3,4,5,7,8,9,11,12],[6,10]]=>[[1,2,3,4,6,7,8,10,11,12],[5,9]]=>[5,9,1,2,3,4,6,7,8,10,11,12]=>[2,10]
[[1,2,3,4,5,7,8,10,11,12],[6,9]]=>[[1,2,3,4,6,7,9,10,11,12],[5,8]]=>[5,8,1,2,3,4,6,7,9,10,11,12]=>[2,10]
[[1,2,3,4,5,7,9,10,11,12],[6,8]]=>[[1,2,3,4,6,8,9,10,11,12],[5,7]]=>[5,7,1,2,3,4,6,8,9,10,11,12]=>[2,10]
[[1,2,3,4,5,7,8,9,10,11,12],[6]]=>[[1,2,3,4,6,7,8,9,10,11,12],[5]]=>[5,1,2,3,4,6,7,8,9,10,11,12]=>[1,11]
[[1,2,3,4,5,6,7,8,9,10,12],[11]]=>[[1,2,3,4,5,6,7,8,9,11,12],[10]]=>[10,1,2,3,4,5,6,7,8,9,11,12]=>[1,11]
[[1,2,3,4,5,6,7,8,9,11,12],[10]]=>[[1,2,3,4,5,6,7,8,10,11,12],[9]]=>[9,1,2,3,4,5,6,7,8,10,11,12]=>[1,11]
[[1,2,3,4,5,6,7,8,10,11,12],[9]]=>[[1,2,3,4,5,6,7,9,10,11,12],[8]]=>[8,1,2,3,4,5,6,7,9,10,11,12]=>[1,11]
[[1,2,3,4,5,6,7,9,10,11,12],[8]]=>[[1,2,3,4,5,6,8,9,10,11,12],[7]]=>[7,1,2,3,4,5,6,8,9,10,11,12]=>[1,11]
[[1,2,3,4,5,6,8,9,10,11,12],[7]]=>[[1,2,3,4,5,7,8,9,10,11,12],[6]]=>[6,1,2,3,4,5,7,8,9,10,11,12]=>[1,11]
[[1,2,5,6,7,8],[3,4,9]]=>[[1,3,4,5,6,7],[2,8,9]]=>[2,8,9,1,3,4,5,6,7]=>[3,6]
[[1,4,5,6,7,8],[2],[3],[9]]=>[[1,3,4,5,6,7],[2],[8],[9]]=>[9,8,2,1,3,4,5,6,7]=>[1,1,1,6]
[[1,2,5,6,7,8,9],[3,4,10]]=>[[1,3,4,5,6,7,8],[2,9,10]]=>[2,9,10,1,3,4,5,6,7,8]=>[3,7]
[[1,2,5,6,7,8,9],[3],[4]]=>[[1,4,5,6,7,8,9],[2],[3]]=>[3,2,1,4,5,6,7,8,9]=>[1,1,7]
[[1,2,6,7,8,9],[3],[4],[5]]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9]=>[1,1,1,6]
[[1,2,3,8,9],[4,5],[6,7]]=>[[1,2,7,8,9],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8,9]=>[2,2,5]
[[1,2,7,8,9],[3],[4],[5],[6]]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9]=>[1,1,1,1,5]
[[1,2,8,9],[3],[4],[5],[6],[7]]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9]=>[1,1,1,1,1,4]
[[1,2,5,6,7,8,9,10],[3],[4]]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[3,2,1,4,5,6,7,8,9,10]=>[1,1,8]
[[1,2,3,4,8,9,10],[5,6,7]]=>[[1,2,3,7,8,9,10],[4,5,6]]=>[4,5,6,1,2,3,7,8,9,10]=>[3,7]
[[1,2,6,7,8,9,10],[3],[4],[5]]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9,10]=>[1,1,1,7]
[[1,2,7,8,9,10],[3],[4],[5],[6]]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9,10]=>[1,1,1,1,6]
[[1,2,8,9,10],[3],[4],[5],[6],[7]]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9,10]=>[1,1,1,1,1,5]
[[1,2,9,10],[3],[4],[5],[6],[7],[8]]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9,10]=>[1,1,1,1,1,1,4]
[[1,2,4],[3,6],[5,8],[7,10],[9]]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3,10]=>[1,2,2,2,3]
[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,2]
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]=>[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,2]
[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]=>[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]]=>[10,9,8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,2]
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]]=>[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]]=>[10,9,8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,2]
[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]]=>[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,2]
[[1,4],[2],[3],[5],[6],[7],[8],[9],[10],[11],[12]]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,1,1,2]
[[1,6],[2],[3],[4],[5],[7],[8],[9],[10],[11],[12]]=>[[1,5],[2],[3],[4],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,1,1,2]
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9],[11],[12]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10],[11],[12]]=>[12,11,10,8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,1,1,2]
[[1,8],[2],[3],[4],[5],[6],[7],[9],[10],[11],[12]]=>[[1,7],[2],[3],[4],[5],[6],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,1,1,2]
[[1,2,4],[3],[5],[6],[7],[8],[9],[10]]=>[[1,3,10],[2],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,1,3,10]=>[1,1,1,1,1,1,1,3]
[[1,2,3,5,6],[4,8],[7,10],[9]]=>[[1,2,4,5,10],[3,7],[6,9],[8]]=>[8,6,9,3,7,1,2,4,5,10]=>[1,2,2,5]
[[1,2,8],[3,9],[4],[5],[6],[7]]=>[[1,7,9],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7,9]=>[1,1,1,1,2,3]
[[1,2,7],[3,8],[4,9],[5],[6]]=>[[1,6,9],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6,9]=>[1,1,2,2,3]
[[1,2,7,9],[3,8],[4],[5],[6]]=>[[1,6,8,9],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8,9]=>[1,1,1,2,4]
[[1,2,6,9],[3,7],[4,8],[5]]=>[[1,5,8,9],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8,9]=>[1,2,2,4]
[[1,2,6,8],[3,7,9],[4],[5]]=>[[1,5,7,9],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7,9]=>[1,1,3,4]
[[1,2,6,8,9],[3,7],[4],[5]]=>[[1,5,7,8,9],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8,9]=>[1,1,2,5]
[[1,2,5,8],[3,6,9],[4,7]]=>[[1,4,7,9],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7,9]=>[2,3,4]
[[1,2,5,8,9],[3,6],[4,7]]=>[[1,4,7,8,9],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8,9]=>[2,2,5]
[[1,2,5,7,8,9],[3,6],[4]]=>[[1,4,6,7,8,9],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9]=>[1,2,6]
[[1,2,4,6,8,9],[3,5,7]]=>[[1,3,5,7,8,9],[2,4,6]]=>[2,4,6,1,3,5,7,8,9]=>[3,6]
[[1,2,4,6,7,8,9],[3,5]]=>[[1,3,5,6,7,8,9],[2,4]]=>[2,4,1,3,5,6,7,8,9]=>[2,7]
[[1,2,9],[3,10],[4],[5],[6],[7],[8]]=>[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,9,1,8,10]=>[1,1,1,1,1,2,3]
[[1,2,8],[3,9],[4,10],[5],[6],[7]]=>[[1,7,10],[2,8],[3,9],[4],[5],[6]]=>[6,5,4,3,9,2,8,1,7,10]=>[1,1,1,2,2,3]
[[1,2,8,10],[3,9],[4],[5],[6],[7]]=>[[1,7,9,10],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7,9,10]=>[1,1,1,1,2,4]
[[1,2,7],[3,8],[4,9],[5,10],[6]]=>[[1,6,10],[2,7],[3,8],[4,9],[5]]=>[5,4,9,3,8,2,7,1,6,10]=>[1,2,2,2,3]
[[1,2,7,10],[3,8],[4,9],[5],[6]]=>[[1,6,9,10],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6,9,10]=>[1,1,2,2,4]
[[1,2,7,9],[3,8,10],[4],[5],[6]]=>[[1,6,8,10],[2,7,9],[3],[4],[5]]=>[5,4,3,2,7,9,1,6,8,10]=>[1,1,1,3,4]
[[1,2,7,9,10],[3,8],[4],[5],[6]]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8,9,10]=>[1,1,1,2,5]
[[1,2,6,10],[3,7],[4,8],[5,9]]=>[[1,5,9,10],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5,9,10]=>[2,2,2,4]
[[1,2,6,9],[3,7,10],[4,8],[5]]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>[4,3,7,2,6,9,1,5,8,10]=>[1,2,3,4]
[[1,2,6,9,10],[3,7],[4,8],[5]]=>[[1,5,8,9,10],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8,9,10]=>[1,2,2,5]
[[1,2,6,8,10],[3,7,9],[4],[5]]=>[[1,5,7,9,10],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7,9,10]=>[1,1,3,5]
[[1,2,6,8,9,10],[3,7],[4],[5]]=>[[1,5,7,8,9,10],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8,9,10]=>[1,1,2,6]
[[1,2,5,8,10],[3,6,9],[4,7]]=>[[1,4,7,9,10],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7,9,10]=>[2,3,5]
[[1,2,5,8,9,10],[3,6],[4,7]]=>[[1,4,7,8,9,10],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8,9,10]=>[2,2,6]
[[1,2,5,7,9],[3,6,8,10],[4]]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>[3,2,5,7,9,1,4,6,8,10]=>[1,4,5]
[[1,2,5,7,8,9,10],[3,6],[4]]=>[[1,4,6,7,8,9,10],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9,10]=>[1,2,7]
[[1,3,5,7,9],[2,6,8,10],[4]]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>[10,3,5,7,9,1,2,4,6,8]=>[1,4,5]
[[1,3,5,6,7,8],[2,4],[9]]=>[[1,2,4,5,6,7],[3,9],[8]]=>[8,3,9,1,2,4,5,6,7]=>[1,2,6]
[[1,2,4,5,6,7,8],[3,9]]=>[[1,3,4,5,6,7,9],[2,8]]=>[2,8,1,3,4,5,6,7,9]=>[2,7]
[[1,6],[2,7],[3,8],[4,9],[5],[10]]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>[10,9,4,8,3,7,2,6,1,5]=>[1,1,2,2,2,2]
[[1,4,8],[2,5,9],[3,6],[7,10]]=>[[1,3,7],[2,4,8],[5,9],[6,10]]=>[6,10,5,9,2,4,8,1,3,7]=>[2,2,3,3]
[[1,4,6,8],[2,5,7,9],[3],[10]]=>[[1,3,5,7],[2,4,6,8],[9],[10]]=>[10,9,2,4,6,8,1,3,5,7]=>[1,1,4,4]
[[1,3,6,9],[2,4,7],[5,8,10]]=>[[1,2,5,8],[3,6,9],[4,7,10]]=>[4,7,10,3,6,9,1,2,5,8]=>[3,3,4]
[[1,2,4,6,8,9],[3,5,7,10]]=>[[1,3,5,7,8,10],[2,4,6,9]]=>[2,4,6,9,1,3,5,7,8,10]=>[4,6]
[[1,2],[3,9],[4],[5],[6],[7],[8]]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,9,1,8]=>[1,1,1,1,1,2,2]
[[1,2],[3,10],[4],[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]=>[1,1,1,1,1,1,2,2]
[[1,2,6],[3,7,10],[4,8],[5,9]]=>[[1,5,9],[2,6,10],[3,7],[4,8]]=>[4,8,3,7,2,6,10,1,5,9]=>[2,2,3,3]
[[1,2,3,4,5,8,9],[6,7]]=>[[1,2,3,4,7,8,9],[5,6]]=>[5,6,1,2,3,4,7,8,9]=>[2,7]
[[1,2,3,4,6,7,9],[5,8,10]]=>[[1,2,3,5,6,8,10],[4,7,9]]=>[4,7,9,1,2,3,5,6,8,10]=>[3,7]
[[1,2,3,4,5,6,8,9],[7,10]]=>[[1,2,3,4,5,7,8,10],[6,9]]=>[6,9,1,2,3,4,5,7,8,10]=>[2,8]
[[1,2,3,4,5,6,8],[7,10],[9]]=>[[1,2,3,4,5,7,10],[6,9],[8]]=>[8,6,9,1,2,3,4,5,7,10]=>[1,2,7]
[[1,3,4,5,8,9],[2,7],[6]]=>[[1,2,3,4,7,8],[5,6],[9]]=>[9,5,6,1,2,3,4,7,8]=>[1,2,6]
Map
inverse promotion
Description
The inverse promotion of a standard Young tableau.
This map replaces the entry $1$ of the tableau with $n+1$, uses the jeu de taquin to move it to the outer rim, and finally decreases all entries by one.
This map replaces the entry $1$ of the tableau with $n+1$, uses the jeu de taquin to move it to the outer rim, and finally decreases all entries by one.
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 composition
Description
The descent composition of a permutation.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
searching the database
Sorry, this map was not found in the database.