Identifier
Mp00081: Standard tableaux reading word permutationPermutations
Mp00067: Permutations Foata bijectionPermutations
Mp00235: Permutations descent views to invisible inversion bottomsPermutations
Images
=>
Cc0007;cc-rep-0
[[1]]=>[1]=>[1]=>[1] [[1,2]]=>[1,2]=>[1,2]=>[1,2] [[1],[2]]=>[2,1]=>[2,1]=>[2,1] [[1,2,3]]=>[1,2,3]=>[1,2,3]=>[1,2,3] [[1,3],[2]]=>[2,1,3]=>[2,1,3]=>[2,1,3] [[1,2],[3]]=>[3,1,2]=>[1,3,2]=>[1,3,2] [[1],[2],[3]]=>[3,2,1]=>[3,2,1]=>[2,3,1] [[1,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4] [[1,3,4],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4] [[1,2,4],[3]]=>[3,1,2,4]=>[1,3,2,4]=>[1,3,2,4] [[1,2,3],[4]]=>[4,1,2,3]=>[1,2,4,3]=>[1,2,4,3] [[1,3],[2,4]]=>[2,4,1,3]=>[2,1,4,3]=>[2,1,4,3] [[1,2],[3,4]]=>[3,4,1,2]=>[1,3,4,2]=>[1,4,3,2] [[1,4],[2],[3]]=>[3,2,1,4]=>[3,2,1,4]=>[2,3,1,4] [[1,3],[2],[4]]=>[4,2,1,3]=>[2,4,1,3]=>[4,2,1,3] [[1,2],[3],[4]]=>[4,3,1,2]=>[1,4,3,2]=>[1,3,4,2] [[1],[2],[3],[4]]=>[4,3,2,1]=>[4,3,2,1]=>[2,3,4,1] [[1,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5] [[1,3,4,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5] [[1,2,4,5],[3]]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5] [[1,2,3,5],[4]]=>[4,1,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5] [[1,2,3,4],[5]]=>[5,1,2,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4] [[1,3,5],[2,4]]=>[2,4,1,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5] [[1,2,5],[3,4]]=>[3,4,1,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5] [[1,3,4],[2,5]]=>[2,5,1,3,4]=>[2,1,3,5,4]=>[2,1,3,5,4] [[1,2,4],[3,5]]=>[3,5,1,2,4]=>[1,3,2,5,4]=>[1,3,2,5,4] [[1,2,3],[4,5]]=>[4,5,1,2,3]=>[1,2,4,5,3]=>[1,2,5,4,3] [[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5] [[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5] [[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5] [[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4] [[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4] [[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[1,2,4,5,3] [[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[3,2,1,5,4]=>[2,3,1,5,4] [[1,3],[2,5],[4]]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[4,2,5,1,3] [[1,2],[3,5],[4]]=>[4,3,5,1,2]=>[1,4,3,5,2]=>[1,5,4,3,2] [[1,3],[2,4],[5]]=>[5,2,4,1,3]=>[2,1,5,4,3]=>[2,1,4,5,3] [[1,2],[3,4],[5]]=>[5,3,4,1,2]=>[1,3,5,4,2]=>[1,4,3,5,2] [[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5] [[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4] [[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3] [[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>[1,5,4,3,2]=>[1,3,4,5,2] [[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1] [[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] [[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6] [[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6] [[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6] [[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4] [[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6] [[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6] [[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6] [[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[2,1,5,3,4,6]=>[2,1,5,3,4,6] [[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6] [[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6] [[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[2,1,3,6,4,5]=>[2,1,3,6,4,5] [[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5] [[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5] [[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4] [[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5] [[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4] [[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4] [[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3] [[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[3,2,1,5,4,6]=>[2,3,1,5,4,6] [[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[4,2,5,1,3,6] [[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6] [[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[2,1,5,4,3,6]=>[2,1,4,5,3,6] [[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6] [[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5] [[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[2,4,1,3,6,5]=>[4,2,1,3,6,5] [[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5] [[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[2,1,5,3,6,4]=>[2,1,5,6,3,4] [[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4] [[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3] [[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[2,1,4,6,3,5]=>[2,1,6,4,3,5] [[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5] [[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4] [[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4] [[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3] [[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6] [[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[3,5,2,1,4,6]=>[2,5,3,1,4,6] [[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[2,5,4,1,3,6]=>[4,2,1,5,3,6] [[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6] [[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[3,2,6,1,4,5]=>[6,3,2,1,4,5] [[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5] [[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5] [[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[2,1,6,5,3,4]=>[2,1,5,3,6,4] [[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4] [[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3] [[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4] [[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[2,4,1,6,5,3]=>[4,2,5,1,6,3] [[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2] [[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[2,1,5,6,4,3]=>[2,1,4,6,5,3] [[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2] [[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[4,3,2,1,6,5]=>[2,3,4,1,6,5] [[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[3,5,2,1,6,4]=>[2,5,3,6,1,4] [[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[2,5,4,1,6,3]=>[4,2,5,6,3,1] [[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2] [[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[3,2,6,1,5,4]=>[6,3,2,5,1,4] [[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[2,4,6,1,5,3]=>[6,2,5,4,1,3] [[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2] [[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[2,1,6,5,4,3]=>[2,1,4,5,6,3] [[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2] [[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6] [[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[4,6,3,2,1,5]=>[2,3,6,4,1,5] [[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[3,6,5,2,1,4]=>[2,5,3,1,6,4] [[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[2,6,5,4,1,3]=>[4,2,1,5,6,3] [[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2] [[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1] [[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7] [[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7] [[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7] [[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7] [[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7] [[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7] [[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7] [[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7] [[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7] [[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7] [[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7] [[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] [[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7] [[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6] [[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5] [[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7] [[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7] [[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7] [[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7] [[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7] [[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7] [[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7] [[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7] [[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7] [[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7] [[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6] [[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6] [[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6] [[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6] [[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5] [[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7] [[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7] [[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7] [[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7] [[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7] [[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6] [[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6] [[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5] [[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5] [[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5] [[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4] [[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7] [[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7] [[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7] [[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7] [[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7] [[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7] [[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>[2,4,1,3,6,5,7]=>[4,2,1,3,6,5,7] [[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7] [[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>[2,1,5,3,6,4,7]=>[2,1,5,6,3,4,7] [[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7] [[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7] [[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>[2,1,4,6,3,5,7]=>[2,1,6,4,3,5,7] [[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7] [[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7] [[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7] [[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7] [[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6] [[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>[2,4,1,3,5,7,6]=>[4,2,1,3,5,7,6] [[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6] [[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>[2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6] [[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6] [[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6] [[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>[2,1,3,6,4,7,5]=>[2,1,3,6,7,4,5] [[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5] [[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5] [[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4] [[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>[2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6] [[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6] [[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>[2,1,3,5,7,4,6]=>[2,1,3,7,5,4,6] [[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6] [[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6] [[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5] [[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5] [[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5] [[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4] [[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7] [[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>[3,5,2,1,4,6,7]=>[2,5,3,1,4,6,7] [[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>[2,5,4,1,3,6,7]=>[4,2,1,5,3,6,7] [[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7] [[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>[3,2,6,1,4,5,7]=>[6,3,2,1,4,5,7] [[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>[2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7] [[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7] [[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>[2,1,6,5,3,4,7]=>[2,1,5,3,6,4,7] [[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7] [[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7] [[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>[3,2,1,7,4,5,6]=>[2,3,1,7,4,5,6] [[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]=>[4,2,7,1,3,5,6] [[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6] [[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>[2,1,5,7,3,4,6]=>[2,1,7,3,5,4,6] [[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6] [[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6] [[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>[2,1,3,7,6,4,5]=>[2,1,3,6,4,7,5] [[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5] [[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5] [[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4] [[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6] [[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[2,4,1,5,3,7,6]=>[4,2,5,1,3,7,6] [[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6] [[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6] [[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>[1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6] [[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>[3,2,1,4,6,7,5]=>[2,3,1,4,7,6,5] [[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>[2,4,1,3,6,7,5]=>[4,2,1,3,7,6,5] [[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5] [[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>[2,1,5,3,6,7,4]=>[2,1,5,7,3,6,4] [[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4] [[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3] [[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>[2,1,4,6,3,7,5]=>[2,1,6,4,7,3,5] [[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5] [[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>[2,1,3,6,5,7,4]=>[2,1,3,7,6,5,4] [[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4] [[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3] [[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5] [[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5] [[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>[2,1,3,5,7,6,4]=>[2,1,3,6,5,7,4] [[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>[1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4] [[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3] [[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7] [[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,4,1,6,5,3,7]=>[4,2,5,1,6,3,7] [[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>[1,4,3,6,5,2,7]=>[1,5,4,3,6,2,7] [[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>[2,1,5,6,4,3,7]=>[2,1,4,6,5,3,7] [[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>[1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7] [[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[3,2,1,5,7,4,6]=>[2,3,1,7,5,4,6] [[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[2,4,1,5,7,3,6]=>[4,2,7,1,5,3,6] [[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>[1,4,3,5,7,2,6]=>[1,7,4,3,5,2,6] [[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>[2,1,5,4,7,3,6]=>[2,1,7,5,4,3,6] [[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>[1,3,5,4,7,2,6]=>[1,7,3,5,4,2,6] [[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5] [[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>[2,4,1,3,7,6,5]=>[4,2,1,3,6,7,5] [[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5] [[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>[2,1,5,3,7,6,4]=>[2,1,5,6,3,7,4] [[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>[1,5,3,6,2,7,4] [[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>[1,2,5,4,7,6,3]=>[1,2,6,5,4,7,3] [[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>[2,1,4,6,7,3,5]=>[2,1,7,4,3,6,5] [[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5] [[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>[2,1,3,6,7,5,4]=>[2,1,3,5,7,6,4] [[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>[1,3,2,6,7,5,4]=>[1,3,2,5,7,6,4] [[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3] [[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[4,3,2,1,6,5,7]=>[2,3,4,1,6,5,7] [[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[3,5,2,1,6,4,7]=>[2,5,3,6,1,4,7] [[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[2,5,4,1,6,3,7]=>[4,2,5,6,3,1,7] [[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>[1,5,4,3,6,2,7]=>[1,6,4,5,3,2,7] [[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[3,2,6,1,5,4,7]=>[6,3,2,5,1,4,7] [[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[2,4,6,1,5,3,7]=>[6,2,5,4,1,3,7] [[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>[1,4,6,3,5,2,7]=>[1,5,6,4,3,2,7] [[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>[2,1,6,5,4,3,7]=>[2,1,4,5,6,3,7] [[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>[1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7] [[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6] [[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[3,5,2,1,4,7,6]=>[2,5,3,1,4,7,6] [[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>[2,5,4,1,3,7,6]=>[4,2,1,5,3,7,6] [[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6] [[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[3,2,6,1,4,7,5]=>[6,3,2,1,7,4,5] [[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>[2,4,6,1,3,7,5]=>[6,2,1,4,7,3,5] [[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>[1,4,6,3,2,7,5]=>[1,3,6,4,7,2,5] [[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>[2,1,6,5,3,7,4]=>[2,1,5,6,7,4,3] [[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>[1,3,6,5,2,7,4]=>[1,5,3,6,7,4,2] [[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>[1,2,6,5,4,7,3]=>[1,2,7,5,6,4,3] [[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[3,2,1,7,5,4,6]=>[2,3,1,5,7,4,6] [[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[2,4,1,7,5,3,6]=>[4,2,5,1,7,3,6] [[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>[1,4,3,7,5,2,6]=>[1,5,4,3,7,2,6] [[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>[2,1,5,7,4,3,6]=>[2,1,4,7,5,3,6] [[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>[1,3,5,7,4,2,6]=>[1,4,3,7,5,2,6] [[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>[3,2,1,7,4,6,5]=>[2,3,1,7,6,4,5] [[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>[2,4,1,7,3,6,5]=>[4,2,7,1,6,3,5] [[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>[1,4,3,7,2,6,5]=>[1,7,4,3,6,2,5] [[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>[2,1,5,7,3,6,4]=>[2,1,7,6,5,3,4] [[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4] [[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>[1,2,5,7,4,6,3]=>[1,2,6,7,5,4,3] [[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>[2,1,4,7,6,3,5]=>[2,1,6,4,3,7,5] [[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>[1,3,4,7,6,2,5]=>[1,6,3,4,2,7,5] [[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>[2,1,3,7,6,5,4]=>[2,1,3,5,6,7,4] [[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4] [[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3] [[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7] [[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>[4,6,3,2,1,5,7]=>[2,3,6,4,1,5,7] [[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>[3,6,5,2,1,4,7]=>[2,5,3,1,6,4,7] [[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>[2,6,5,4,1,3,7]=>[4,2,1,5,6,3,7] [[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7] [[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>[4,3,7,2,1,5,6]=>[2,7,4,3,1,5,6] [[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>[3,5,7,2,1,4,6]=>[2,7,3,1,5,4,6] [[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>[2,5,7,4,1,3,6]=>[4,2,1,7,5,3,6] [[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>[1,5,7,4,3,2,6]=>[1,3,4,7,5,2,6] [[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>[3,2,7,6,1,4,5]=>[6,3,2,1,4,7,5] [[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>[2,4,7,6,1,3,5]=>[6,2,1,4,3,7,5] [[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>[1,4,7,6,3,2,5]=>[1,3,6,4,2,7,5] [[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>[2,1,7,6,5,3,4]=>[2,1,5,3,6,7,4] [[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>[1,3,7,6,5,2,4]=>[1,5,3,2,6,7,4] [[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3] [[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5] [[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[3,5,2,1,7,6,4]=>[2,5,3,6,1,7,4] [[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[2,5,4,1,7,6,3]=>[4,2,5,6,3,7,1] [[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>[1,5,4,3,7,6,2]=>[1,6,4,5,3,7,2] [[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[3,2,6,1,7,5,4]=>[6,3,2,5,7,1,4] [[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[2,4,6,1,7,5,3]=>[6,2,5,4,7,1,3] [[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>[1,4,6,3,7,5,2]=>[1,5,7,4,6,2,3] [[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>[2,1,6,5,7,4,3]=>[2,1,4,7,6,5,3] [[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>[1,3,6,5,7,4,2]=>[1,4,3,7,6,5,2] [[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4] [[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>[2,4,1,7,6,5,3]=>[4,2,5,1,6,7,3] [[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>[1,4,3,7,6,5,2]=>[1,5,4,3,6,7,2] [[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>[2,1,5,7,6,4,3]=>[2,1,4,6,5,7,3] [[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>[1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2] [[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6] [[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[4,6,3,2,1,7,5]=>[2,3,6,4,7,1,5] [[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[3,6,5,2,1,7,4]=>[2,5,3,6,7,4,1] [[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[2,6,5,4,1,7,3]=>[4,2,5,6,7,1,3] [[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>[1,6,5,4,3,7,2]=>[1,7,4,5,6,3,2] [[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[4,3,7,2,1,6,5]=>[2,7,4,3,6,1,5] [[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[3,5,7,2,1,6,4]=>[2,7,3,6,5,1,4] [[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>[2,5,7,4,1,6,3]=>[4,2,7,6,5,3,1] [[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>[1,5,7,4,3,6,2]=>[1,6,4,7,5,3,2] [[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>[3,2,7,6,1,5,4]=>[6,3,2,5,1,7,4] [[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>[2,4,7,6,1,5,3]=>[6,2,5,4,1,7,3] [[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>[1,4,7,6,3,5,2]=>[1,5,6,4,3,7,2] [[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>[2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3] [[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>[1,3,7,6,5,4,2]=>[1,4,3,5,6,7,2] [[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7] [[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>[2,3,4,7,5,1,6] [[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>[4,7,6,3,2,1,5]=>[2,3,6,4,1,7,5] [[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>[3,7,6,5,2,1,4]=>[2,5,3,1,6,7,4] [[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>[2,7,6,5,4,1,3]=>[4,2,1,5,6,7,3] [[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2] [[1],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1] [[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8] [[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8] [[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8] [[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8] [[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8] [[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8] [[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8] [[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7] [[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8] [[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8] [[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8] [[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8] [[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8] [[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8] [[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8] [[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8] [[1,2,3,4,7,8],[5,6]]=>[5,6,1,2,3,4,7,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8] [[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8] [[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8] [[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8] [[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8] [[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8] [[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7] [[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7] [[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7] [[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7] [[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7] [[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6] [[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8] [[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>[4,2,1,3,5,6,7,8] [[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[1,3,4,2,5,6,7,8] [[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>[2,1,5,3,4,6,7,8]=>[2,1,5,3,4,6,7,8] [[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8] [[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[1,2,4,5,3,6,7,8] [[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>[2,1,3,6,4,5,7,8]=>[2,1,3,6,4,5,7,8] [[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8] [[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8] [[1,2,3,4,7,8],[5],[6]]=>[6,5,1,2,3,4,7,8]=>[1,2,3,6,5,4,7,8]=>[1,2,3,5,6,4,7,8] [[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>[2,1,3,4,7,5,6,8]=>[2,1,3,4,7,5,6,8] [[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,7,5,6,8] [[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8] [[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8] [[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,8]=>[1,2,3,4,6,7,5,8] [[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>[2,1,3,4,5,8,6,7]=>[2,1,3,4,5,8,6,7] [[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7] [[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7] [[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7] [[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7] [[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6] [[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8] [[1,3,4,7,8],[2,5,6]]=>[2,5,6,1,3,4,7,8]=>[2,1,3,5,6,4,7,8]=>[2,1,3,6,5,4,7,8] [[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8] [[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8] [[1,2,5,6,8],[3,4,7]]=>[3,4,7,1,2,5,6,8]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8] [[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8] [[1,2,3,6,8],[4,5,7]]=>[4,5,7,1,2,3,6,8]=>[1,2,4,5,3,7,6,8]=>[1,2,5,4,3,7,6,8] [[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>[2,1,3,4,6,7,5,8]=>[2,1,3,4,7,6,5,8] [[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8] [[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8] [[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8] [[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7] [[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7] [[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7] [[1,2,4,6,7],[3,5,8]]=>[3,5,8,1,2,4,6,7]=>[1,3,2,5,4,6,8,7]=>[1,3,2,5,4,6,8,7] [[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>[1,2,4,5,3,6,8,7]=>[1,2,5,4,3,6,8,7] [[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7] [[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7] [[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7] [[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7] [[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,7,6] [[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6] [[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6] [[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6] [[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5] [[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>[3,2,1,5,4,6,7,8]=>[2,3,1,5,4,6,7,8] [[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>[2,4,1,5,3,6,7,8]=>[4,2,5,1,3,6,7,8] [[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>[1,4,3,5,2,6,7,8]=>[1,5,4,3,2,6,7,8] [[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>[2,1,5,4,3,6,7,8]=>[2,1,4,5,3,6,7,8] [[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>[1,3,5,4,2,6,7,8]=>[1,4,3,5,2,6,7,8] [[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>[3,2,1,4,6,5,7,8]=>[2,3,1,4,6,5,7,8] [[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>[2,4,1,3,6,5,7,8]=>[4,2,1,3,6,5,7,8] [[1,3,4,7,8],[2,6],[5]]=>[5,2,6,1,3,4,7,8]=>[2,1,5,3,6,4,7,8]=>[2,1,5,6,3,4,7,8] [[1,2,4,7,8],[3,6],[5]]=>[5,3,6,1,2,4,7,8]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8] [[1,2,3,7,8],[4,6],[5]]=>[5,4,6,1,2,3,7,8]=>[1,2,5,4,6,3,7,8]=>[1,2,6,5,4,3,7,8] [[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>[2,1,4,6,3,5,7,8]=>[2,1,6,4,3,5,7,8] [[1,2,5,7,8],[3,4],[6]]=>[6,3,4,1,2,5,7,8]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8] [[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>[1,3,2,6,5,4,7,8]=>[1,3,2,5,6,4,7,8] [[1,2,3,7,8],[4,5],[6]]=>[6,4,5,1,2,3,7,8]=>[1,2,4,6,5,3,7,8]=>[1,2,5,4,6,3,7,8] [[1,4,5,6,8],[2,7],[3]]=>[3,2,7,1,4,5,6,8]=>[3,2,1,4,5,7,6,8]=>[2,3,1,4,5,7,6,8] [[1,3,5,6,8],[2,7],[4]]=>[4,2,7,1,3,5,6,8]=>[2,4,1,3,5,7,6,8]=>[4,2,1,3,5,7,6,8] [[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>[1,3,5,2,4,7,6,8]=>[1,5,3,2,4,7,6,8] [[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>[1,2,5,4,3,7,6,8]=>[1,2,4,5,3,7,6,8] [[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8] [[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8] [[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8] [[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>[1,3,4,2,7,5,6,8]=>[1,4,3,2,7,5,6,8] [[1,3,4,6,8],[2,5],[7]]=>[7,2,5,1,3,4,6,8]=>[2,1,3,5,7,4,6,8]=>[2,1,3,7,5,4,6,8] [[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>[1,3,2,5,7,4,6,8]=>[1,3,2,7,5,4,6,8] [[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>[1,2,4,5,7,3,6,8]=>[1,2,7,4,5,3,6,8] [[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>[1,3,2,4,7,6,5,8]=>[1,3,2,4,6,7,5,8] [[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>[1,2,4,3,7,6,5,8]=>[1,2,4,3,6,7,5,8] [[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>[1,2,3,5,7,6,4,8]=>[1,2,3,6,5,7,4,8] [[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>[3,2,1,4,5,6,8,7]=>[2,3,1,4,5,6,8,7] [[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>[2,4,1,3,5,6,8,7]=>[4,2,1,3,5,6,8,7] [[1,2,5,6,7],[3,8],[4]]=>[4,3,8,1,2,5,6,7]=>[1,4,3,2,5,6,8,7]=>[1,3,4,2,5,6,8,7] [[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>[2,1,5,3,4,6,8,7]=>[2,1,5,3,4,6,8,7] [[1,2,4,6,7],[3,8],[5]]=>[5,3,8,1,2,4,6,7]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7] [[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>[1,2,5,4,3,6,8,7]=>[1,2,4,5,3,6,8,7] [[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>[2,1,3,6,4,5,8,7]=>[2,1,3,6,4,5,8,7] [[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>[1,2,4,6,3,5,8,7]=>[1,2,6,4,3,5,8,7] [[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,8,7]=>[1,2,3,5,6,4,8,7] [[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>[2,1,3,4,7,5,8,6]=>[2,1,3,4,7,8,5,6] [[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6] [[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6] [[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6] [[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5] [[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>[2,1,4,3,5,8,6,7]=>[2,1,4,3,5,8,6,7] [[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7] [[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7] [[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7] [[1,3,4,5,7],[2,6],[8]]=>[8,2,6,1,3,4,5,7]=>[2,1,3,4,6,8,5,7]=>[2,1,3,4,8,6,5,7] [[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>[1,3,2,4,6,8,5,7]=>[1,3,2,4,8,6,5,7] [[1,2,3,5,7],[4,6],[8]]=>[8,4,6,1,2,3,5,7]=>[1,2,4,3,6,8,5,7]=>[1,2,4,3,8,6,5,7] [[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7] [[1,3,4,5,6],[2,7],[8]]=>[8,2,7,1,3,4,5,6]=>[2,1,3,4,5,8,7,6]=>[2,1,3,4,5,7,8,6] [[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>[1,3,2,4,5,8,7,6]=>[1,3,2,4,5,7,8,6] [[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>[1,2,4,3,5,8,7,6]=>[1,2,4,3,5,7,8,6] [[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,7,8,6] [[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5] [[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8] [[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>[3,5,2,1,4,6,7,8]=>[2,5,3,1,4,6,7,8] [[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>[2,5,4,1,3,6,7,8]=>[4,2,1,5,3,6,7,8] [[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[1,3,4,5,2,6,7,8] [[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>[3,2,6,1,4,5,7,8]=>[6,3,2,1,4,5,7,8] [[1,3,5,7,8],[2],[4],[6]]=>[6,4,2,1,3,5,7,8]=>[2,4,6,1,3,5,7,8]=>[6,2,1,4,3,5,7,8] [[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>[1,4,6,3,2,5,7,8]=>[1,3,6,4,2,5,7,8] [[1,3,4,7,8],[2],[5],[6]]=>[6,5,2,1,3,4,7,8]=>[2,1,6,5,3,4,7,8]=>[2,1,5,3,6,4,7,8] [[1,2,4,7,8],[3],[5],[6]]=>[6,5,3,1,2,4,7,8]=>[1,3,6,5,2,4,7,8]=>[1,5,3,2,6,4,7,8] [[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8] [[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>[3,2,1,7,4,5,6,8]=>[2,3,1,7,4,5,6,8] [[1,2,5,6,8],[3],[4],[7]]=>[7,4,3,1,2,5,6,8]=>[1,4,3,7,2,5,6,8]=>[1,7,4,3,2,5,6,8] [[1,3,4,6,8],[2],[5],[7]]=>[7,5,2,1,3,4,6,8]=>[2,1,5,7,3,4,6,8]=>[2,1,7,3,5,4,6,8] [[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8] [[1,2,3,6,8],[4],[5],[7]]=>[7,5,4,1,2,3,6,8]=>[1,2,5,7,4,3,6,8]=>[1,2,4,7,5,3,6,8] [[1,2,4,5,8],[3],[6],[7]]=>[7,6,3,1,2,4,5,8]=>[1,3,2,7,6,4,5,8]=>[1,3,2,6,4,7,5,8] [[1,2,3,5,8],[4],[6],[7]]=>[7,6,4,1,2,3,5,8]=>[1,2,4,7,6,3,5,8]=>[1,2,6,4,3,7,5,8] [[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>[1,2,3,7,6,5,4,8]=>[1,2,3,5,6,7,4,8] [[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>[3,2,1,4,8,5,6,7]=>[2,3,1,4,8,5,6,7] [[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>[2,4,1,3,8,5,6,7]=>[4,2,1,3,8,5,6,7] [[1,2,5,6,7],[3],[4],[8]]=>[8,4,3,1,2,5,6,7]=>[1,4,3,2,8,5,6,7]=>[1,3,4,2,8,5,6,7] [[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>[2,1,5,3,8,4,6,7]=>[2,1,5,8,3,4,6,7] [[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7] [[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>[1,2,5,4,8,3,6,7]=>[1,2,8,5,4,3,6,7] [[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7] [[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>[1,2,3,6,8,5,4,7]=>[1,2,3,5,8,6,4,7] [[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>[2,1,3,4,8,7,5,6]=>[2,1,3,4,7,5,8,6] [[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>[1,2,4,3,8,7,5,6]=>[1,2,4,3,7,5,8,6] [[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>[1,2,3,5,8,7,4,6]=>[1,2,3,7,5,4,8,6] [[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5] [[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7] [[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>[1,3,4,2,6,5,8,7]=>[1,4,3,2,6,5,8,7] [[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>[2,1,3,5,6,4,8,7]=>[2,1,3,6,5,4,8,7] [[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>[1,3,2,5,6,4,8,7]=>[1,3,2,6,5,4,8,7] [[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>[1,2,4,5,6,3,8,7]=>[1,2,6,4,5,3,8,7] [[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,7,6] [[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6] [[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>[2,1,3,5,4,7,8,6]=>[2,1,3,5,4,8,7,6] [[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6] [[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6] [[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,6,7,5] [[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5] [[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5] [[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4] [[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>[3,2,1,5,4,7,6,8]=>[2,3,1,5,4,7,6,8] [[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>[2,4,1,5,3,7,6,8]=>[4,2,5,1,3,7,6,8] [[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>[1,4,3,5,2,7,6,8]=>[1,5,4,3,2,7,6,8] [[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>[2,1,5,4,3,7,6,8]=>[2,1,4,5,3,7,6,8] [[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>[1,3,5,4,2,7,6,8]=>[1,4,3,5,2,7,6,8] [[1,4,5,8],[2,6,7],[3]]=>[3,2,6,7,1,4,5,8]=>[3,2,1,4,6,7,5,8]=>[2,3,1,4,7,6,5,8] [[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>[2,4,1,3,6,7,5,8]=>[4,2,1,3,7,6,5,8] [[1,2,5,8],[3,6,7],[4]]=>[4,3,6,7,1,2,5,8]=>[1,4,3,2,6,7,5,8]=>[1,3,4,2,7,6,5,8] [[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>[2,1,5,3,6,7,4,8]=>[2,1,5,7,3,6,4,8] [[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8] [[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>[1,2,5,4,6,7,3,8]=>[1,2,7,5,4,6,3,8] [[1,3,5,8],[2,4,7],[6]]=>[6,2,4,7,1,3,5,8]=>[2,1,4,6,3,7,5,8]=>[2,1,6,4,7,3,5,8] [[1,2,5,8],[3,4,7],[6]]=>[6,3,4,7,1,2,5,8]=>[1,3,4,6,2,7,5,8]=>[1,6,3,4,7,2,5,8] [[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>[2,1,3,6,5,7,4,8]=>[2,1,3,7,6,5,4,8] [[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>[1,3,2,6,5,7,4,8]=>[1,3,2,7,6,5,4,8] [[1,2,3,8],[4,5,7],[6]]=>[6,4,5,7,1,2,3,8]=>[1,2,4,6,5,7,3,8]=>[1,2,7,4,6,5,3,8] [[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>[2,1,4,3,7,6,5,8]=>[2,1,4,3,6,7,5,8] [[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>[1,3,4,2,7,6,5,8]=>[1,4,3,2,6,7,5,8] [[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>[1,3,2,5,7,6,4,8]=>[1,3,2,6,5,7,4,8] [[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>[1,2,4,5,7,6,3,8]=>[1,2,6,4,5,7,3,8] [[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>[3,2,1,5,4,6,8,7]=>[2,3,1,5,4,6,8,7] [[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>[2,4,1,5,3,6,8,7]=>[4,2,5,1,3,6,8,7] [[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>[1,4,3,5,2,6,8,7]=>[1,5,4,3,2,6,8,7] [[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>[2,1,5,4,3,6,8,7]=>[2,1,4,5,3,6,8,7] [[1,2,6,7],[3,4,8],[5]]=>[5,3,4,8,1,2,6,7]=>[1,3,5,4,2,6,8,7]=>[1,4,3,5,2,6,8,7] [[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>[3,2,1,4,6,5,8,7]=>[2,3,1,4,6,5,8,7] [[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>[2,4,1,3,6,5,8,7]=>[4,2,1,3,6,5,8,7] [[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>[1,4,3,2,6,5,8,7]=>[1,3,4,2,6,5,8,7] [[1,2,4,7],[3,6,8],[5]]=>[5,3,6,8,1,2,4,7]=>[1,3,5,2,6,4,8,7]=>[1,5,3,6,2,4,8,7] [[1,2,3,7],[4,6,8],[5]]=>[5,4,6,8,1,2,3,7]=>[1,2,5,4,6,3,8,7]=>[1,2,6,5,4,3,8,7] [[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>[2,1,4,6,3,5,8,7]=>[2,1,6,4,3,5,8,7] [[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>[1,3,4,6,2,5,8,7]=>[1,6,3,4,2,5,8,7] [[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>[2,1,3,6,5,4,8,7]=>[2,1,3,5,6,4,8,7] [[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>[1,3,2,6,5,4,8,7]=>[1,3,2,5,6,4,8,7] [[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>[1,2,4,6,5,3,8,7]=>[1,2,5,4,6,3,8,7] [[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>[3,2,1,4,5,7,8,6]=>[2,3,1,4,5,8,7,6] [[1,3,5,6],[2,7,8],[4]]=>[4,2,7,8,1,3,5,6]=>[2,4,1,3,5,7,8,6]=>[4,2,1,3,5,8,7,6] [[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>[1,4,3,2,5,7,8,6]=>[1,3,4,2,5,8,7,6] [[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>[1,3,5,2,4,7,8,6]=>[1,5,3,2,4,8,7,6] [[1,2,3,6],[4,7,8],[5]]=>[5,4,7,8,1,2,3,6]=>[1,2,5,4,3,7,8,6]=>[1,2,4,5,3,8,7,6] [[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>[2,1,3,6,4,7,8,5]=>[2,1,3,6,8,4,7,5] [[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>[1,3,2,6,4,7,8,5]=>[1,3,2,6,8,4,7,5] [[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5] [[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4] [[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>[2,1,4,3,7,5,8,6]=>[2,1,4,3,7,8,5,6] [[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6] [[1,3,4,6],[2,5,8],[7]]=>[7,2,5,8,1,3,4,6]=>[2,1,3,5,7,4,8,6]=>[2,1,3,7,5,8,4,6] [[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>[1,3,2,5,7,4,8,6]=>[1,3,2,7,5,8,4,6] [[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>[1,2,4,5,7,3,8,6]=>[1,2,7,4,5,8,3,6] [[1,3,4,5],[2,6,8],[7]]=>[7,2,6,8,1,3,4,5]=>[2,1,3,4,7,6,8,5]=>[2,1,3,4,8,7,6,5] [[1,2,4,5],[3,6,8],[7]]=>[7,3,6,8,1,2,4,5]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,7,6,5] [[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5] [[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4] [[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>[2,1,4,3,6,8,5,7]=>[2,1,4,3,8,6,5,7] [[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>[1,3,4,2,6,8,5,7]=>[1,4,3,2,8,6,5,7] [[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>[2,1,3,5,6,8,4,7]=>[2,1,3,8,5,6,4,7] [[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>[1,3,2,5,6,8,4,7]=>[1,3,2,8,5,6,4,7] [[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>[1,2,4,5,6,8,3,7]=>[1,2,8,4,5,6,3,7] [[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,7,8,6] [[1,2,5,6],[3,4,7],[8]]=>[8,3,4,7,1,2,5,6]=>[1,3,4,2,5,8,7,6]=>[1,4,3,2,5,7,8,6] [[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>[2,1,3,5,4,8,7,6]=>[2,1,3,5,4,7,8,6] [[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,7,8,6] [[1,2,3,6],[4,5,7],[8]]=>[8,4,5,7,1,2,3,6]=>[1,2,4,5,3,8,7,6]=>[1,2,5,4,3,7,8,6] [[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>[2,1,3,4,6,8,7,5]=>[2,1,3,4,7,6,8,5] [[1,2,4,5],[3,6,7],[8]]=>[8,3,6,7,1,2,4,5]=>[1,3,2,4,6,8,7,5]=>[1,3,2,4,7,6,8,5] [[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>[1,2,4,3,6,8,7,5]=>[1,2,4,3,7,6,8,5] [[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>[1,2,3,5,6,8,7,4]=>[1,2,3,7,5,6,8,4] [[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>[3,2,1,6,5,4,7,8]=>[2,3,1,5,6,4,7,8] [[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>[2,4,1,6,5,3,7,8]=>[4,2,5,1,6,3,7,8] [[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>[1,4,3,6,5,2,7,8]=>[1,5,4,3,6,2,7,8] [[1,3,7,8],[2,4],[5,6]]=>[5,6,2,4,1,3,7,8]=>[2,1,5,6,4,3,7,8]=>[2,1,4,6,5,3,7,8] [[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>[1,3,5,6,4,2,7,8]=>[1,4,3,6,5,2,7,8] [[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>[3,2,1,5,7,4,6,8]=>[2,3,1,7,5,4,6,8] [[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>[1,4,3,5,7,2,6,8]=>[1,7,4,3,5,2,6,8] [[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>[2,1,5,4,7,3,6,8]=>[2,1,7,5,4,3,6,8] [[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>[1,3,5,4,7,2,6,8]=>[1,7,3,5,4,2,6,8] [[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>[3,2,1,4,7,6,5,8]=>[2,3,1,4,6,7,5,8] [[1,3,5,8],[2,6],[4,7]]=>[4,7,2,6,1,3,5,8]=>[2,4,1,3,7,6,5,8]=>[4,2,1,3,6,7,5,8] [[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8] [[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>[2,1,5,3,7,6,4,8]=>[2,1,5,6,3,7,4,8] [[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>[1,3,5,2,7,6,4,8]=>[1,5,3,6,2,7,4,8] [[1,2,3,8],[4,6],[5,7]]=>[5,7,4,6,1,2,3,8]=>[1,2,5,4,7,6,3,8]=>[1,2,6,5,4,7,3,8] [[1,3,5,8],[2,4],[6,7]]=>[6,7,2,4,1,3,5,8]=>[2,1,4,6,7,3,5,8]=>[2,1,7,4,3,6,5,8] [[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>[1,3,4,6,7,2,5,8]=>[1,7,3,4,2,6,5,8] [[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>[2,1,3,6,7,5,4,8]=>[2,1,3,5,7,6,4,8] [[1,2,4,8],[3,5],[6,7]]=>[6,7,3,5,1,2,4,8]=>[1,3,2,6,7,5,4,8]=>[1,3,2,5,7,6,4,8] [[1,2,3,8],[4,5],[6,7]]=>[6,7,4,5,1,2,3,8]=>[1,2,4,6,7,5,3,8]=>[1,2,5,4,7,6,3,8] [[1,4,6,7],[2,5],[3,8]]=>[3,8,2,5,1,4,6,7]=>[3,2,1,5,4,8,6,7]=>[2,3,1,5,4,8,6,7] [[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>[2,4,1,5,3,8,6,7]=>[4,2,5,1,3,8,6,7] [[1,2,6,7],[3,5],[4,8]]=>[4,8,3,5,1,2,6,7]=>[1,4,3,5,2,8,6,7]=>[1,5,4,3,2,8,6,7] [[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>[1,3,5,4,2,8,6,7]=>[1,4,3,5,2,8,6,7] [[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>[3,2,1,4,6,8,5,7]=>[2,3,1,4,8,6,5,7] [[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>[2,4,1,3,6,8,5,7]=>[4,2,1,3,8,6,5,7] [[1,3,4,7],[2,6],[5,8]]=>[5,8,2,6,1,3,4,7]=>[2,1,5,3,6,8,4,7]=>[2,1,5,8,3,6,4,7] [[1,2,4,7],[3,6],[5,8]]=>[5,8,3,6,1,2,4,7]=>[1,3,5,2,6,8,4,7]=>[1,5,3,8,2,6,4,7] [[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>[2,1,4,6,3,8,5,7]=>[2,1,6,4,8,3,5,7] [[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>[1,3,4,6,2,8,5,7]=>[1,6,3,4,8,2,5,7] [[1,3,4,7],[2,5],[6,8]]=>[6,8,2,5,1,3,4,7]=>[2,1,3,6,5,8,4,7]=>[2,1,3,8,6,5,4,7] [[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>[1,3,2,6,5,8,4,7]=>[1,3,2,8,6,5,4,7] [[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>[1,2,4,6,5,8,3,7]=>[1,2,8,4,6,5,3,7] [[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>[3,2,1,4,5,8,7,6]=>[2,3,1,4,5,7,8,6] [[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>[2,4,1,3,5,8,7,6]=>[4,2,1,3,5,7,8,6] [[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>[1,4,3,2,5,8,7,6]=>[1,3,4,2,5,7,8,6] [[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>[2,1,5,3,4,8,7,6]=>[2,1,5,3,4,7,8,6] [[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>[1,3,5,2,4,8,7,6]=>[1,5,3,2,4,7,8,6] [[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>[1,2,5,4,3,8,7,6]=>[1,2,4,5,3,7,8,6] [[1,3,4,5],[2,7],[6,8]]=>[6,8,2,7,1,3,4,5]=>[2,1,3,6,4,8,7,5]=>[2,1,3,6,7,4,8,5] [[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>[1,3,2,6,4,8,7,5]=>[1,3,2,6,7,4,8,5] [[1,2,3,5],[4,7],[6,8]]=>[6,8,4,7,1,2,3,5]=>[1,2,4,6,3,8,7,5]=>[1,2,6,4,7,3,8,5] [[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>[1,2,3,6,5,8,7,4]=>[1,2,3,7,6,5,8,4] [[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,5,7,6] [[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>[1,3,4,2,7,8,5,6]=>[1,4,3,2,8,5,7,6] [[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>[2,1,3,5,7,8,4,6]=>[2,1,3,8,5,4,7,6] [[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>[1,3,2,5,7,8,4,6]=>[1,3,2,8,5,4,7,6] [[1,2,3,6],[4,5],[7,8]]=>[7,8,4,5,1,2,3,6]=>[1,2,4,5,7,8,3,6]=>[1,2,8,4,5,3,7,6] [[1,3,4,5],[2,6],[7,8]]=>[7,8,2,6,1,3,4,5]=>[2,1,3,4,7,8,6,5]=>[2,1,3,4,6,8,7,5] [[1,2,4,5],[3,6],[7,8]]=>[7,8,3,6,1,2,4,5]=>[1,3,2,4,7,8,6,5]=>[1,3,2,4,6,8,7,5] [[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>[1,2,4,3,7,8,6,5]=>[1,2,4,3,6,8,7,5] [[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4] [[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>[4,3,2,1,6,5,7,8]=>[2,3,4,1,6,5,7,8] [[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>[3,5,2,1,6,4,7,8]=>[2,5,3,6,1,4,7,8] [[1,3,7,8],[2,6],[4],[5]]=>[5,4,2,6,1,3,7,8]=>[2,5,4,1,6,3,7,8]=>[4,2,5,6,3,1,7,8] [[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>[1,5,4,3,6,2,7,8]=>[1,6,4,5,3,2,7,8] [[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>[3,2,6,1,5,4,7,8]=>[6,3,2,5,1,4,7,8] [[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>[2,4,6,1,5,3,7,8]=>[6,2,5,4,1,3,7,8] [[1,2,7,8],[3,4],[5],[6]]=>[6,5,3,4,1,2,7,8]=>[1,3,6,5,4,2,7,8]=>[1,4,3,5,6,2,7,8] [[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>[4,3,2,1,5,7,6,8]=>[2,3,4,1,5,7,6,8] [[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>[3,5,2,1,4,7,6,8]=>[2,5,3,1,4,7,6,8] [[1,3,6,8],[2,7],[4],[5]]=>[5,4,2,7,1,3,6,8]=>[2,5,4,1,3,7,6,8]=>[4,2,1,5,3,7,6,8] [[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>[1,5,4,3,2,7,6,8]=>[1,3,4,5,2,7,6,8] [[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>[3,2,6,1,4,7,5,8]=>[6,3,2,1,7,4,5,8] [[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>[2,4,6,1,3,7,5,8]=>[6,2,1,4,7,3,5,8] [[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>[1,4,6,3,2,7,5,8]=>[1,3,6,4,7,2,5,8] [[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>[1,3,6,5,2,7,4,8]=>[1,5,3,6,7,4,2,8] [[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>[3,2,1,7,5,4,6,8]=>[2,3,1,5,7,4,6,8] [[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>[2,4,1,7,5,3,6,8]=>[4,2,5,1,7,3,6,8] [[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>[1,3,5,7,4,2,6,8]=>[1,4,3,7,5,2,6,8] [[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>[3,2,1,7,4,6,5,8]=>[2,3,1,7,6,4,5,8] [[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>[2,4,1,7,3,6,5,8]=>[4,2,7,1,6,3,5,8] [[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>[2,1,5,7,3,6,4,8]=>[2,1,7,6,5,3,4,8] [[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>[1,3,5,7,2,6,4,8]=>[1,7,3,6,5,2,4,8] [[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>[1,2,5,7,4,6,3,8]=>[1,2,6,7,5,4,3,8] [[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>[1,3,2,7,6,5,4,8]=>[1,3,2,5,6,7,4,8] [[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>[1,2,4,7,6,5,3,8]=>[1,2,5,4,6,7,3,8] [[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>[4,3,2,1,5,6,8,7]=>[2,3,4,1,5,6,8,7] [[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>[3,5,2,1,4,6,8,7]=>[2,5,3,1,4,6,8,7] [[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>[1,5,4,3,2,6,8,7]=>[1,3,4,5,2,6,8,7] [[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>[3,2,6,1,4,5,8,7]=>[6,3,2,1,4,5,8,7] [[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>[2,4,6,1,3,5,8,7]=>[6,2,1,4,3,5,8,7] [[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>[1,4,6,3,2,5,8,7]=>[1,3,6,4,2,5,8,7] [[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>[2,1,6,5,3,4,8,7]=>[2,1,5,3,6,4,8,7] [[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>[1,3,6,5,2,4,8,7]=>[1,5,3,2,6,4,8,7] [[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>[1,2,6,5,4,3,8,7]=>[1,2,4,5,6,3,8,7] [[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>[3,2,1,7,4,5,8,6]=>[2,3,1,7,4,8,5,6] [[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>[2,4,1,7,3,5,8,6]=>[4,2,7,1,3,8,5,6] [[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>[1,4,3,7,2,5,8,6]=>[1,7,4,3,2,8,5,6] [[1,3,4,6],[2,8],[5],[7]]=>[7,5,2,8,1,3,4,6]=>[2,1,5,7,3,4,8,6]=>[2,1,7,3,5,8,4,6] [[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>[1,3,5,7,2,4,8,6]=>[1,7,3,2,5,8,4,6] [[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>[1,2,5,7,4,3,8,6]=>[1,2,4,7,5,8,3,6] [[1,2,3,5],[4,8],[6],[7]]=>[7,6,4,8,1,2,3,5]=>[1,2,4,7,6,3,8,5]=>[1,2,6,4,7,8,5,3] [[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,7,5,4] [[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>[3,2,1,5,8,4,6,7]=>[2,3,1,8,5,4,6,7] [[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>[2,4,1,5,8,3,6,7]=>[4,2,8,1,5,3,6,7] [[1,2,6,7],[3,5],[4],[8]]=>[8,4,3,5,1,2,6,7]=>[1,4,3,5,8,2,6,7]=>[1,8,4,3,5,2,6,7] [[1,3,6,7],[2,4],[5],[8]]=>[8,5,2,4,1,3,6,7]=>[2,1,5,4,8,3,6,7]=>[2,1,8,5,4,3,6,7] [[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>[1,3,5,4,8,2,6,7]=>[1,8,3,5,4,2,6,7] [[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>[3,2,1,4,8,6,5,7]=>[2,3,1,4,6,8,5,7] [[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>[2,4,1,3,8,6,5,7]=>[4,2,1,3,6,8,5,7] [[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>[1,3,5,2,8,6,4,7]=>[1,5,3,6,2,8,4,7] [[1,2,3,7],[4,6],[5],[8]]=>[8,5,4,6,1,2,3,7]=>[1,2,5,4,8,6,3,7]=>[1,2,6,5,4,8,3,7] [[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>[2,1,4,6,8,3,5,7]=>[2,1,8,4,3,6,5,7] [[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>[1,3,4,6,8,2,5,7]=>[1,8,3,4,2,6,5,7] [[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>[2,1,3,6,8,5,4,7]=>[2,1,3,5,8,6,4,7] [[1,2,4,7],[3,5],[6],[8]]=>[8,6,3,5,1,2,4,7]=>[1,3,2,6,8,5,4,7]=>[1,3,2,5,8,6,4,7] [[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>[1,2,4,6,8,5,3,7]=>[1,2,5,4,8,6,3,7] [[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>[3,2,1,4,8,5,7,6]=>[2,3,1,4,8,7,5,6] [[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>[2,4,1,3,8,5,7,6]=>[4,2,1,3,8,7,5,6] [[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>[1,4,3,2,8,5,7,6]=>[1,3,4,2,8,7,5,6] [[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>[2,1,5,3,8,4,7,6]=>[2,1,5,8,3,7,4,6] [[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>[1,3,5,2,8,4,7,6]=>[1,5,3,8,2,7,4,6] [[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>[1,2,5,4,8,3,7,6]=>[1,2,8,5,4,7,3,6] [[1,3,4,5],[2,7],[6],[8]]=>[8,6,2,7,1,3,4,5]=>[2,1,3,6,8,4,7,5]=>[2,1,3,8,7,6,4,5] [[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>[1,3,2,6,8,4,7,5]=>[1,3,2,8,7,6,4,5] [[1,2,3,5],[4,7],[6],[8]]=>[8,6,4,7,1,2,3,5]=>[1,2,4,6,8,3,7,5]=>[1,2,8,4,7,6,3,5] [[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>[1,2,3,6,8,5,7,4]=>[1,2,3,7,8,6,5,4] [[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>[2,1,4,3,8,7,5,6]=>[2,1,4,3,7,5,8,6] [[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>[2,1,3,5,8,7,4,6]=>[2,1,3,7,5,4,8,6] [[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>[1,3,2,5,8,7,4,6]=>[1,3,2,7,5,4,8,6] [[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>[1,2,4,5,8,7,3,6]=>[1,2,7,4,5,3,8,6] [[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,6,7,8,5] [[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,6,7,8,5] [[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,6,7,8,5] [[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>[1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4] [[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8] [[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>[4,6,3,2,1,5,7,8]=>[2,3,6,4,1,5,7,8] [[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>[3,6,5,2,1,4,7,8]=>[2,5,3,1,6,4,7,8] [[1,3,7,8],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7,8]=>[2,6,5,4,1,3,7,8]=>[4,2,1,5,6,3,7,8] [[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>[1,6,5,4,3,2,7,8]=>[1,3,4,5,6,2,7,8] [[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>[4,3,7,2,1,5,6,8]=>[2,7,4,3,1,5,6,8] [[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>[3,5,7,2,1,4,6,8]=>[2,7,3,1,5,4,6,8] [[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>[3,2,7,6,1,4,5,8]=>[6,3,2,1,4,7,5,8] [[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>[1,4,7,6,3,2,5,8]=>[1,3,6,4,2,7,5,8] [[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>[2,1,7,6,5,3,4,8]=>[2,1,5,3,6,7,4,8] [[1,2,4,8],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4,8]=>[1,3,7,6,5,2,4,8]=>[1,5,3,2,6,7,4,8] [[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>[1,2,7,6,5,4,3,8]=>[1,2,4,5,6,7,3,8] [[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>[4,3,2,8,1,5,6,7]=>[8,3,4,2,1,5,6,7] [[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>[2,5,4,8,1,3,6,7]=>[8,2,1,5,4,3,6,7] [[1,2,6,7],[3],[4],[5],[8]]=>[8,5,4,3,1,2,6,7]=>[1,5,4,8,3,2,6,7]=>[1,3,8,5,4,2,6,7] [[1,4,5,7],[2],[3],[6],[8]]=>[8,6,3,2,1,4,5,7]=>[3,2,6,8,1,4,5,7]=>[8,3,2,1,4,6,5,7] [[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>[2,4,6,8,1,3,5,7]=>[8,2,1,4,3,6,5,7] [[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>[1,4,6,8,3,2,5,7]=>[1,3,8,4,2,6,5,7] [[1,3,4,7],[2],[5],[6],[8]]=>[8,6,5,2,1,3,4,7]=>[2,1,6,8,5,3,4,7]=>[2,1,5,3,8,6,4,7] [[1,2,4,7],[3],[5],[6],[8]]=>[8,6,5,3,1,2,4,7]=>[1,3,6,8,5,2,4,7]=>[1,5,3,2,8,6,4,7] [[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>[1,2,6,8,5,4,3,7]=>[1,2,4,5,8,6,3,7] [[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>[3,2,1,8,7,4,5,6]=>[2,3,1,7,4,5,8,6] [[1,3,5,6],[2],[4],[7],[8]]=>[8,7,4,2,1,3,5,6]=>[2,4,1,8,7,3,5,6]=>[4,2,7,1,3,5,8,6] [[1,2,5,6],[3],[4],[7],[8]]=>[8,7,4,3,1,2,5,6]=>[1,4,3,8,7,2,5,6]=>[1,7,4,3,2,5,8,6] [[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>[2,1,5,8,7,3,4,6]=>[2,1,7,3,5,4,8,6] [[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>[1,3,5,8,7,2,4,6]=>[1,7,3,2,5,4,8,6] [[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>[1,2,5,8,7,4,3,6]=>[1,2,4,7,5,3,8,6] [[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>[2,1,3,8,7,6,4,5]=>[2,1,3,6,4,7,8,5] [[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>[1,3,2,8,7,6,4,5]=>[1,3,2,6,4,7,8,5] [[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>[1,2,4,8,7,6,3,5]=>[1,2,6,4,3,7,8,5] [[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4] [[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>[3,2,1,6,5,4,8,7]=>[2,3,1,5,6,4,8,7] [[1,3,7],[2,4,8],[5,6]]=>[5,6,2,4,8,1,3,7]=>[2,1,5,6,4,3,8,7]=>[2,1,4,6,5,3,8,7] [[1,2,7],[3,4,8],[5,6]]=>[5,6,3,4,8,1,2,7]=>[1,3,5,6,4,2,8,7]=>[1,4,3,6,5,2,8,7] [[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>[2,4,1,5,7,3,8,6]=>[4,2,7,1,5,8,3,6] [[1,2,6],[3,5,8],[4,7]]=>[4,7,3,5,8,1,2,6]=>[1,4,3,5,7,2,8,6]=>[1,7,4,3,5,8,2,6] [[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>[2,1,5,4,7,3,8,6]=>[2,1,7,5,4,8,3,6] [[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>[1,3,5,4,7,2,8,6]=>[1,7,3,5,4,8,2,6] [[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>[3,2,1,4,7,6,8,5]=>[2,3,1,4,8,7,6,5] [[1,3,5],[2,6,8],[4,7]]=>[4,7,2,6,8,1,3,5]=>[2,4,1,3,7,6,8,5]=>[4,2,1,3,8,7,6,5] [[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>[1,4,3,2,7,6,8,5]=>[1,3,4,2,8,7,6,5] [[1,2,4],[3,6,8],[5,7]]=>[5,7,3,6,8,1,2,4]=>[1,3,5,2,7,6,8,4]=>[1,5,3,8,2,7,6,4] [[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>[1,2,5,4,7,6,8,3]=>[1,2,8,5,4,7,6,3] [[1,3,5],[2,4,8],[6,7]]=>[6,7,2,4,8,1,3,5]=>[2,1,4,6,7,3,8,5]=>[2,1,7,4,8,6,3,5] [[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5] [[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>[1,3,2,6,7,5,8,4]=>[1,3,2,8,7,6,5,4] [[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>[1,2,4,6,7,5,8,3]=>[1,2,8,4,7,6,5,3] [[1,4,6],[2,5,7],[3,8]]=>[3,8,2,5,7,1,4,6]=>[3,2,1,5,4,8,7,6]=>[2,3,1,5,4,7,8,6] [[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>[2,4,1,5,3,8,7,6]=>[4,2,5,1,3,7,8,6] [[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>[1,4,3,5,2,8,7,6]=>[1,5,4,3,2,7,8,6] [[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>[2,1,5,4,3,8,7,6]=>[2,1,4,5,3,7,8,6] [[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>[3,2,1,4,6,8,7,5]=>[2,3,1,4,7,6,8,5] [[1,3,5],[2,6,7],[4,8]]=>[4,8,2,6,7,1,3,5]=>[2,4,1,3,6,8,7,5]=>[4,2,1,3,7,6,8,5] [[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>[1,4,3,2,6,8,7,5]=>[1,3,4,2,7,6,8,5] [[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>[2,1,5,3,6,8,7,4]=>[2,1,5,7,3,6,8,4] [[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>[1,3,5,2,6,8,7,4]=>[1,5,3,7,2,6,8,4] [[1,2,3],[4,6,7],[5,8]]=>[5,8,4,6,7,1,2,3]=>[1,2,5,4,6,8,7,3]=>[1,2,7,5,4,6,8,3] [[1,3,5],[2,4,7],[6,8]]=>[6,8,2,4,7,1,3,5]=>[2,1,4,6,3,8,7,5]=>[2,1,6,4,7,3,8,5] [[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>[2,1,3,6,5,8,7,4]=>[2,1,3,7,6,5,8,4] [[1,2,4],[3,5,7],[6,8]]=>[6,8,3,5,7,1,2,4]=>[1,3,2,6,5,8,7,4]=>[1,3,2,7,6,5,8,4] [[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>[1,2,4,6,5,8,7,3]=>[1,2,7,4,6,5,8,3] [[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>[2,1,4,3,7,8,6,5]=>[2,1,4,3,6,8,7,5] [[1,2,5],[3,4,6],[7,8]]=>[7,8,3,4,6,1,2,5]=>[1,3,4,2,7,8,6,5]=>[1,4,3,2,6,8,7,5] [[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>[2,1,3,5,7,8,6,4]=>[2,1,3,6,5,8,7,4] [[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>[1,3,2,5,7,8,6,4]=>[1,3,2,6,5,8,7,4] [[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>[1,2,4,5,7,8,6,3]=>[1,2,6,4,5,8,7,3] [[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>[4,3,2,1,6,5,8,7]=>[2,3,4,1,6,5,8,7] [[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>[2,5,4,1,6,3,8,7]=>[4,2,5,6,3,1,8,7] [[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>[3,2,6,1,5,4,8,7]=>[6,3,2,5,1,4,8,7] [[1,3,7],[2,5,8],[4],[6]]=>[6,4,2,5,8,1,3,7]=>[2,4,6,1,5,3,8,7]=>[6,2,5,4,1,3,8,7] [[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>[1,4,6,3,5,2,8,7]=>[1,5,6,4,3,2,8,7] [[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>[2,1,6,5,4,3,8,7]=>[2,1,4,5,6,3,8,7] [[1,2,7],[3,4,8],[5],[6]]=>[6,5,3,4,8,1,2,7]=>[1,3,6,5,4,2,8,7]=>[1,4,3,5,6,2,8,7] [[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>[4,3,2,1,5,7,8,6]=>[2,3,4,1,5,8,7,6] [[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>[3,5,2,1,4,7,8,6]=>[2,5,3,1,4,8,7,6] [[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>[2,5,4,1,3,7,8,6]=>[4,2,1,5,3,8,7,6] [[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>[1,5,4,3,2,7,8,6]=>[1,3,4,5,2,8,7,6] [[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>[3,2,6,1,4,7,8,5]=>[6,3,2,1,8,4,7,5] [[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>[2,4,6,1,3,7,8,5]=>[6,2,1,4,8,3,7,5] [[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>[1,4,6,3,2,7,8,5]=>[1,3,6,4,8,2,7,5] [[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>[2,1,6,5,3,7,8,4]=>[2,1,5,6,8,4,7,3] [[1,2,4],[3,7,8],[5],[6]]=>[6,5,3,7,8,1,2,4]=>[1,3,6,5,2,7,8,4]=>[1,5,3,6,8,4,7,2] [[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>[1,2,6,5,4,7,8,3]=>[1,2,8,5,6,4,7,3] [[1,4,6],[2,5,8],[3],[7]]=>[7,3,2,5,8,1,4,6]=>[3,2,1,7,5,4,8,6]=>[2,3,1,5,7,8,4,6] [[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>[2,4,1,7,5,3,8,6]=>[4,2,5,1,7,8,3,6] [[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>[1,4,3,7,5,2,8,6]=>[1,5,4,3,7,8,2,6] [[1,3,6],[2,4,8],[5],[7]]=>[7,5,2,4,8,1,3,6]=>[2,1,5,7,4,3,8,6]=>[2,1,4,7,5,8,3,6] [[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>[1,3,5,7,4,2,8,6]=>[1,4,3,7,5,8,2,6] [[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>[3,2,1,7,4,6,8,5]=>[2,3,1,7,8,4,6,5] [[1,3,5],[2,6,8],[4],[7]]=>[7,4,2,6,8,1,3,5]=>[2,4,1,7,3,6,8,5]=>[4,2,7,1,8,3,6,5] [[1,2,5],[3,6,8],[4],[7]]=>[7,4,3,6,8,1,2,5]=>[1,4,3,7,2,6,8,5]=>[1,7,4,3,8,2,6,5] [[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>[2,1,5,7,3,6,8,4]=>[2,1,7,8,5,3,6,4] [[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>[1,3,5,7,2,6,8,4]=>[1,7,3,8,5,2,6,4] [[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>[1,2,5,7,4,6,8,3]=>[1,2,8,7,5,4,6,3] [[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>[2,1,4,7,6,3,8,5]=>[2,1,6,4,7,8,5,3] [[1,2,5],[3,4,8],[6],[7]]=>[7,6,3,4,8,1,2,5]=>[1,3,4,7,6,2,8,5]=>[1,6,3,4,7,8,5,2] [[1,3,4],[2,5,8],[6],[7]]=>[7,6,2,5,8,1,3,4]=>[2,1,3,7,6,5,8,4]=>[2,1,3,8,6,7,5,4] [[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>[1,3,2,7,6,5,8,4]=>[1,3,2,8,6,7,5,4] [[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>[1,2,4,7,6,5,8,3]=>[1,2,8,4,6,7,5,3] [[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>[3,2,1,5,8,4,7,6]=>[2,3,1,8,5,7,4,6] [[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>[2,4,1,5,8,3,7,6]=>[4,2,8,1,5,7,3,6] [[1,2,6],[3,5,7],[4],[8]]=>[8,4,3,5,7,1,2,6]=>[1,4,3,5,8,2,7,6]=>[1,8,4,3,5,7,2,6] [[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>[2,1,5,4,8,3,7,6]=>[2,1,8,5,4,7,3,6] [[1,2,6],[3,4,7],[5],[8]]=>[8,5,3,4,7,1,2,6]=>[1,3,5,4,8,2,7,6]=>[1,8,3,5,4,7,2,6] [[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>[3,2,1,4,8,6,7,5]=>[2,3,1,4,7,8,6,5] [[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>[2,4,1,3,8,6,7,5]=>[4,2,1,3,7,8,6,5] [[1,2,5],[3,6,7],[4],[8]]=>[8,4,3,6,7,1,2,5]=>[1,4,3,2,8,6,7,5]=>[1,3,4,2,7,8,6,5] [[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>[2,1,5,3,8,6,7,4]=>[2,1,5,7,3,8,6,4] [[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>[1,3,5,2,8,6,7,4]=>[1,5,3,7,2,8,6,4] [[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>[1,2,5,4,8,6,7,3]=>[1,2,7,5,4,8,6,3] [[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>[2,1,4,6,8,3,7,5]=>[2,1,8,4,7,6,3,5] [[1,2,5],[3,4,7],[6],[8]]=>[8,6,3,4,7,1,2,5]=>[1,3,4,6,8,2,7,5]=>[1,8,3,4,7,6,2,5] [[1,3,4],[2,5,7],[6],[8]]=>[8,6,2,5,7,1,3,4]=>[2,1,3,6,8,5,7,4]=>[2,1,3,7,8,6,5,4] [[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>[1,2,4,6,8,5,7,3]=>[1,2,7,4,8,6,5,3] [[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,6,7,8,5] [[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>[1,3,4,2,8,7,6,5]=>[1,4,3,2,6,7,8,5] [[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>[2,1,3,5,8,7,6,4]=>[2,1,3,6,5,7,8,4] [[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>[1,3,2,5,8,7,6,4]=>[1,3,2,6,5,7,8,4] [[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>[1,2,4,5,8,7,6,3]=>[1,2,6,4,5,7,8,3] [[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[4,3,2,1,7,6,5,8]=>[2,3,4,1,6,7,5,8] [[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[2,5,4,1,7,6,3,8]=>[4,2,5,6,3,7,1,8] [[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[3,2,6,1,7,5,4,8]=>[6,3,2,5,7,1,4,8] [[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>[2,4,6,1,7,5,3,8]=>[6,2,5,4,7,1,3,8] [[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>[1,4,6,3,7,5,2,8]=>[1,5,7,4,6,2,3,8] [[1,2,8],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2,8]=>[1,3,6,5,7,4,2,8]=>[1,4,3,7,6,5,2,8] [[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[3,2,1,7,6,5,4,8]=>[2,3,1,5,6,7,4,8] [[1,3,8],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3,8]=>[2,4,1,7,6,5,3,8]=>[4,2,5,1,6,7,3,8] [[1,2,8],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2,8]=>[1,4,3,7,6,5,2,8]=>[1,5,4,3,6,7,2,8] [[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>[1,3,5,7,6,4,2,8]=>[1,4,3,6,5,7,2,8] [[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>[4,3,2,1,6,8,5,7]=>[2,3,4,1,8,6,5,7] [[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[3,5,2,1,6,8,4,7]=>[2,5,3,8,1,6,4,7] [[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[2,5,4,1,6,8,3,7]=>[4,2,5,8,3,6,1,7] [[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>[1,5,4,3,6,8,2,7]=>[1,8,4,5,3,6,2,7] [[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[3,2,6,1,5,8,4,7]=>[6,3,2,8,1,5,4,7] [[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>[2,4,6,1,5,8,3,7]=>[6,2,8,4,1,5,3,7] [[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>[1,4,6,3,5,8,2,7]=>[1,8,6,4,3,5,2,7] [[1,3,7],[2,4],[5,8],[6]]=>[6,5,8,2,4,1,3,7]=>[2,1,6,5,4,8,3,7]=>[2,1,8,5,6,4,3,7] [[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>[1,3,6,5,4,8,2,7]=>[1,8,3,5,6,4,2,7] [[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>[4,3,2,1,5,8,7,6]=>[2,3,4,1,5,7,8,6] [[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[2,5,4,1,3,8,7,6]=>[4,2,1,5,3,7,8,6] [[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>[1,5,4,3,2,8,7,6]=>[1,3,4,5,2,7,8,6] [[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[2,4,6,1,3,8,7,5]=>[6,2,1,4,7,3,8,5] [[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>[1,4,6,3,2,8,7,5]=>[1,3,6,4,7,2,8,5] [[1,3,4],[2,7],[5,8],[6]]=>[6,5,8,2,7,1,3,4]=>[2,1,6,5,3,8,7,4]=>[2,1,5,6,7,4,8,3] [[1,2,3],[4,7],[5,8],[6]]=>[6,5,8,4,7,1,2,3]=>[1,2,6,5,4,8,7,3]=>[1,2,7,5,6,4,8,3] [[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>[3,2,1,7,5,8,4,6]=>[2,3,1,8,7,4,5,6] [[1,3,6],[2,5],[4,8],[7]]=>[7,4,8,2,5,1,3,6]=>[2,4,1,7,5,8,3,6]=>[4,2,8,1,7,3,5,6] [[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>[1,4,3,7,5,8,2,6]=>[1,8,4,3,7,2,5,6] [[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>[2,1,5,7,4,8,3,6]=>[2,1,8,7,5,3,4,6] [[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>[1,3,5,7,4,8,2,6]=>[1,8,3,7,5,2,4,6] [[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>[3,2,1,7,4,8,6,5]=>[2,3,1,7,6,8,4,5] [[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>[2,4,1,7,3,8,6,5]=>[4,2,7,1,6,8,3,5] [[1,2,5],[3,6],[4,8],[7]]=>[7,4,8,3,6,1,2,5]=>[1,4,3,7,2,8,6,5]=>[1,7,4,3,6,8,2,5] [[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>[2,1,5,7,3,8,6,4]=>[2,1,7,6,5,8,3,4] [[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>[1,3,5,7,2,8,6,4]=>[1,7,3,6,5,8,2,4] [[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>[1,2,5,7,4,8,6,3]=>[1,2,6,8,5,7,3,4] [[1,3,5],[2,4],[6,8],[7]]=>[7,6,8,2,4,1,3,5]=>[2,1,4,7,6,8,3,5]=>[2,1,8,4,3,7,6,5] [[1,2,5],[3,4],[6,8],[7]]=>[7,6,8,3,4,1,2,5]=>[1,3,4,7,6,8,2,5]=>[1,8,3,4,2,7,6,5] [[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>[2,1,3,7,6,8,5,4]=>[2,1,3,5,8,7,6,4] [[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>[1,3,2,7,6,8,5,4]=>[1,3,2,5,8,7,6,4] [[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>[3,2,1,6,8,5,4,7]=>[2,3,1,5,8,6,4,7] [[1,3,7],[2,5],[4,6],[8]]=>[8,4,6,2,5,1,3,7]=>[2,4,1,6,8,5,3,7]=>[4,2,5,1,8,6,3,7] [[1,2,7],[3,5],[4,6],[8]]=>[8,4,6,3,5,1,2,7]=>[1,4,3,6,8,5,2,7]=>[1,5,4,3,8,6,2,7] [[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>[2,1,5,6,8,4,3,7]=>[2,1,4,8,5,6,3,7] [[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>[1,3,5,6,8,4,2,7]=>[1,4,3,8,5,6,2,7] [[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>[3,2,1,5,8,7,4,6]=>[2,3,1,7,5,4,8,6] [[1,2,6],[3,5],[4,7],[8]]=>[8,4,7,3,5,1,2,6]=>[1,4,3,5,8,7,2,6]=>[1,7,4,3,5,2,8,6] [[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>[2,1,5,4,8,7,3,6]=>[2,1,7,5,4,3,8,6] [[1,2,6],[3,4],[5,7],[8]]=>[8,5,7,3,4,1,2,6]=>[1,3,5,4,8,7,2,6]=>[1,7,3,5,4,2,8,6] [[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>[2,4,1,3,8,7,6,5]=>[4,2,1,3,6,7,8,5] [[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,6,7,8,5] [[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>[2,1,5,3,8,7,6,4]=>[2,1,5,6,3,7,8,4] [[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>[2,1,4,6,8,7,3,5]=>[2,1,7,4,3,6,8,5] [[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>[2,1,3,6,8,7,5,4]=>[2,1,3,5,7,6,8,4] [[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>[1,3,2,6,8,7,5,4]=>[1,3,2,5,7,6,8,4] [[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>[1,2,4,6,8,7,5,3]=>[1,2,5,4,7,6,8,3] [[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>[5,4,3,2,1,7,6,8]=>[2,3,4,5,1,7,6,8] [[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>[4,6,3,2,1,7,5,8]=>[2,3,6,4,7,1,5,8] [[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>[3,6,5,2,1,7,4,8]=>[2,5,3,6,7,4,1,8] [[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>[2,6,5,4,1,7,3,8]=>[4,2,5,6,7,1,3,8] [[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>[1,6,5,4,3,7,2,8]=>[1,7,4,5,6,3,2,8] [[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>[3,5,7,2,1,6,4,8]=>[2,7,3,6,5,1,4,8] [[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>[2,5,7,4,1,6,3,8]=>[4,2,7,6,5,3,1,8] [[1,2,8],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2,8]=>[1,5,7,4,3,6,2,8]=>[1,6,4,7,5,3,2,8] [[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>[3,2,7,6,1,5,4,8]=>[6,3,2,5,1,7,4,8] [[1,3,8],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3,8]=>[2,1,7,6,5,4,3,8]=>[2,1,4,5,6,7,3,8] [[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>[1,3,7,6,5,4,2,8]=>[1,4,3,5,6,7,2,8] [[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>[5,4,3,2,1,6,8,7]=>[2,3,4,5,1,6,8,7] [[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>[3,6,5,2,1,4,8,7]=>[2,5,3,1,6,4,8,7] [[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>[2,6,5,4,1,3,8,7]=>[4,2,1,5,6,3,8,7] [[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>[1,6,5,4,3,2,8,7]=>[1,3,4,5,6,2,8,7] [[1,5,6],[2,8],[3],[4],[7]]=>[7,4,3,2,8,1,5,6]=>[4,3,7,2,1,5,8,6]=>[2,7,4,3,1,8,5,6] [[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>[3,5,7,2,1,4,8,6]=>[2,7,3,1,5,8,4,6] [[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>[2,5,7,4,1,3,8,6]=>[4,2,1,7,5,8,3,6] [[1,2,6],[3,8],[4],[5],[7]]=>[7,5,4,3,8,1,2,6]=>[1,5,7,4,3,2,8,6]=>[1,3,4,7,5,8,2,6] [[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>[3,2,7,6,1,4,8,5]=>[6,3,2,1,7,8,5,4] [[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>[1,4,7,6,3,2,8,5]=>[1,3,6,4,7,8,5,2] [[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>[2,1,7,6,5,3,8,4]=>[2,1,5,6,7,8,3,4] [[1,2,4],[3,8],[5],[6],[7]]=>[7,6,5,3,8,1,2,4]=>[1,3,7,6,5,2,8,4]=>[1,5,3,6,7,8,2,4] [[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>[1,2,7,6,5,4,8,3]=>[1,2,8,5,6,7,4,3] [[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>[3,5,2,8,1,6,4,7]=>[8,5,3,6,2,1,4,7] [[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>[2,5,4,8,1,6,3,7]=>[8,2,6,5,4,1,3,7] [[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>[1,5,4,8,3,6,2,7]=>[1,6,8,5,4,3,2,7] [[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>[2,4,6,8,1,5,3,7]=>[8,2,5,4,1,6,3,7] [[1,2,7],[3,5],[4],[6],[8]]=>[8,6,4,3,5,1,2,7]=>[1,4,6,8,3,5,2,7]=>[1,5,8,4,3,6,2,7] [[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>[2,1,6,8,5,4,3,7]=>[2,1,4,5,8,6,3,7] [[1,2,7],[3,4],[5],[6],[8]]=>[8,6,5,3,4,1,2,7]=>[1,3,6,8,5,4,2,7]=>[1,4,3,5,8,6,2,7] [[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>[3,5,2,8,1,4,7,6]=>[8,5,3,1,2,7,4,6] [[1,3,6],[2,7],[4],[5],[8]]=>[8,5,4,2,7,1,3,6]=>[2,5,4,8,1,3,7,6]=>[8,2,1,5,4,7,3,6] [[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>[3,2,6,8,1,4,7,5]=>[8,3,2,1,7,6,4,5] [[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>[2,4,6,8,1,3,7,5]=>[8,2,1,4,7,6,3,5] [[1,2,5],[3,7],[4],[6],[8]]=>[8,6,4,3,7,1,2,5]=>[1,4,6,8,3,2,7,5]=>[1,3,8,4,7,6,2,5] [[1,3,4],[2,7],[5],[6],[8]]=>[8,6,5,2,7,1,3,4]=>[2,1,6,8,5,3,7,4]=>[2,1,5,8,7,6,4,3] [[1,2,4],[3,7],[5],[6],[8]]=>[8,6,5,3,7,1,2,4]=>[1,3,6,8,5,2,7,4]=>[1,5,3,8,7,6,4,2] [[1,2,3],[4,7],[5],[6],[8]]=>[8,6,5,4,7,1,2,3]=>[1,2,6,8,5,4,7,3]=>[1,2,7,5,8,6,4,3] [[1,3,6],[2,5],[4],[7],[8]]=>[8,7,4,2,5,1,3,6]=>[2,4,1,8,7,5,3,6]=>[4,2,5,1,7,3,8,6] [[1,3,6],[2,4],[5],[7],[8]]=>[8,7,5,2,4,1,3,6]=>[2,1,5,8,7,4,3,6]=>[2,1,4,7,5,3,8,6] [[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>[3,2,1,8,7,4,6,5]=>[2,3,1,7,6,4,8,5] [[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>[2,4,1,8,7,3,6,5]=>[4,2,7,1,6,3,8,5] [[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>[1,4,3,8,7,2,6,5]=>[1,7,4,3,6,2,8,5] [[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>[2,1,5,8,7,3,6,4]=>[2,1,7,6,5,3,8,4] [[1,2,4],[3,6],[5],[7],[8]]=>[8,7,5,3,6,1,2,4]=>[1,3,5,8,7,2,6,4]=>[1,7,3,6,5,2,8,4] [[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>[1,2,5,8,7,4,6,3]=>[1,2,6,7,5,4,8,3] [[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>[2,1,4,8,7,6,3,5]=>[2,1,6,4,3,7,8,5] [[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>[1,3,4,8,7,6,2,5]=>[1,6,3,4,2,7,8,5] [[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>[2,1,3,8,7,6,5,4]=>[2,1,3,5,6,7,8,4] [[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>[1,3,2,8,7,6,5,4]=>[1,3,2,5,6,7,8,4] [[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>[1,2,4,8,7,6,5,3]=>[1,2,5,4,6,7,8,3] [[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[2,3,4,5,6,1,7,8] [[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>[4,7,6,3,2,1,5,8]=>[2,3,6,4,1,7,5,8] [[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>[3,7,6,5,2,1,4,8]=>[2,5,3,1,6,7,4,8] [[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>[2,7,6,5,4,1,3,8]=>[4,2,1,5,6,7,3,8] [[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>[1,7,6,5,4,3,2,8]=>[1,3,4,5,6,7,2,8] [[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>[5,4,8,3,2,1,6,7]=>[2,3,8,5,4,1,6,7] [[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>[4,6,8,3,2,1,5,7]=>[2,3,8,4,1,6,5,7] [[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>[3,6,8,5,2,1,4,7]=>[2,5,3,1,8,6,4,7] [[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>[2,6,8,5,4,1,3,7]=>[4,2,1,5,8,6,3,7] [[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>[1,6,8,5,4,3,2,7]=>[1,3,4,5,8,6,2,7] [[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>[4,3,8,7,2,1,5,6]=>[2,7,4,3,1,5,8,6] [[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>[3,5,8,7,2,1,4,6]=>[2,7,3,1,5,4,8,6] [[1,3,6],[2],[4],[5],[7],[8]]=>[8,7,5,4,2,1,3,6]=>[2,5,8,7,4,1,3,6]=>[4,2,1,7,5,3,8,6] [[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>[1,5,8,7,4,3,2,6]=>[1,3,4,7,5,2,8,6] [[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>[3,2,8,7,6,1,4,5]=>[6,3,2,1,4,7,8,5] [[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>[2,4,8,7,6,1,3,5]=>[6,2,1,4,3,7,8,5] [[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>[1,4,8,7,6,3,2,5]=>[1,3,6,4,2,7,8,5] [[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>[2,1,8,7,6,5,3,4]=>[2,1,5,3,6,7,8,4] [[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>[1,3,8,7,6,5,2,4]=>[1,5,3,2,6,7,8,4] [[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>[1,2,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,3] [[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[4,3,2,1,8,7,6,5]=>[2,3,4,1,6,7,8,5] [[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[3,5,2,1,8,7,6,4]=>[2,5,3,6,1,7,8,4] [[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,5,4,1,8,7,6,3]=>[4,2,5,6,3,7,8,1] [[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>[1,5,4,3,8,7,6,2]=>[1,6,4,5,3,7,8,2] [[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[3,2,6,1,8,7,5,4]=>[6,3,2,5,7,1,8,4] [[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[2,4,6,1,8,7,5,3]=>[6,2,5,4,7,1,8,3] [[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>[1,4,6,3,8,7,5,2]=>[1,5,7,4,6,2,8,3] [[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>[2,1,6,5,8,7,4,3]=>[2,1,4,7,6,5,8,3] [[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>[1,3,6,5,8,7,4,2]=>[1,4,3,7,6,5,8,2] [[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>[3,2,1,7,8,6,5,4]=>[2,3,1,5,6,8,7,4] [[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>[2,4,1,7,8,6,5,3]=>[4,2,5,1,6,8,7,3] [[1,2],[3,5],[4,6],[7,8]]=>[7,8,4,6,3,5,1,2]=>[1,4,3,7,8,6,5,2]=>[1,5,4,3,6,8,7,2] [[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>[2,1,5,7,8,6,4,3]=>[2,1,4,6,5,8,7,3] [[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>[1,3,5,7,8,6,4,2]=>[1,4,3,6,5,8,7,2] [[1,6],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6]=>[5,4,3,2,1,8,7,6]=>[2,3,4,5,1,7,8,6] [[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>[4,6,3,2,1,8,7,5]=>[2,3,6,4,7,1,8,5] [[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>[3,6,5,2,1,8,7,4]=>[2,5,3,6,7,4,8,1] [[1,3],[2,7],[4,8],[5],[6]]=>[6,5,4,8,2,7,1,3]=>[2,6,5,4,1,8,7,3]=>[4,2,5,6,7,1,8,3] [[1,2],[3,7],[4,8],[5],[6]]=>[6,5,4,8,3,7,1,2]=>[1,6,5,4,3,8,7,2]=>[1,7,4,5,6,3,8,2] [[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>[4,3,7,2,1,8,6,5]=>[2,7,4,3,6,8,1,5] [[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>[3,5,7,2,1,8,6,4]=>[2,7,3,6,5,8,1,4] [[1,3],[2,6],[4,8],[5],[7]]=>[7,5,4,8,2,6,1,3]=>[2,5,7,4,1,8,6,3]=>[4,2,7,6,5,8,3,1] [[1,2],[3,6],[4,8],[5],[7]]=>[7,5,4,8,3,6,1,2]=>[1,5,7,4,3,8,6,2]=>[1,6,4,8,5,7,2,3] [[1,4],[2,5],[3,8],[6],[7]]=>[7,6,3,8,2,5,1,4]=>[3,2,7,6,1,8,5,4]=>[6,3,2,5,7,8,4,1] [[1,3],[2,5],[4,8],[6],[7]]=>[7,6,4,8,2,5,1,3]=>[2,4,7,6,1,8,5,3]=>[6,2,5,4,7,8,3,1] [[1,2],[3,5],[4,8],[6],[7]]=>[7,6,4,8,3,5,1,2]=>[1,4,7,6,3,8,5,2]=>[1,5,8,4,6,7,2,3] [[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>[2,1,7,6,5,8,4,3]=>[2,1,4,8,6,7,5,3] [[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>[1,3,7,6,5,8,4,2]=>[1,4,3,8,6,7,5,2] [[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>[4,3,2,8,1,7,6,5]=>[8,3,4,2,6,7,1,5] [[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>[3,5,2,8,1,7,6,4]=>[8,5,3,6,2,7,1,4] [[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>[2,5,4,8,1,7,6,3]=>[8,2,6,5,4,7,1,3] [[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>[1,5,4,8,3,7,6,2]=>[1,6,7,5,4,8,2,3] [[1,4],[2,5],[3,7],[6],[8]]=>[8,6,3,7,2,5,1,4]=>[3,2,6,8,1,7,5,4]=>[8,3,2,5,7,6,1,4] [[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>[2,4,6,8,1,7,5,3]=>[8,2,5,4,7,6,1,3] [[1,2],[3,5],[4,7],[6],[8]]=>[8,6,4,7,3,5,1,2]=>[1,4,6,8,3,7,5,2]=>[1,5,7,4,8,6,2,3] [[1,3],[2,4],[5,7],[6],[8]]=>[8,6,5,7,2,4,1,3]=>[2,1,6,8,5,7,4,3]=>[2,1,4,7,8,6,5,3] [[1,2],[3,4],[5,7],[6],[8]]=>[8,6,5,7,3,4,1,2]=>[1,3,6,8,5,7,4,2]=>[1,4,3,7,8,6,5,2] [[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,5,6,7,8,4] [[1,3],[2,5],[4,6],[7],[8]]=>[8,7,4,6,2,5,1,3]=>[2,4,1,8,7,6,5,3]=>[4,2,5,1,6,7,8,3] [[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>[1,4,3,8,7,6,5,2]=>[1,5,4,3,6,7,8,2] [[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>[2,1,5,8,7,6,4,3]=>[2,1,4,6,5,7,8,3] [[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>[1,3,5,8,7,6,4,2]=>[1,4,3,6,5,7,8,2] [[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>[6,5,4,3,2,1,8,7]=>[2,3,4,5,6,1,8,7] [[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>[5,7,4,3,2,1,8,6]=>[2,3,4,7,5,8,1,6] [[1,4],[2,8],[3],[5],[6],[7]]=>[7,6,5,3,2,8,1,4]=>[3,7,6,5,2,1,8,4]=>[2,5,3,6,7,8,1,4] [[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>[2,7,6,5,4,1,8,3]=>[4,2,5,6,7,8,3,1] [[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>[1,7,6,5,4,3,8,2]=>[1,8,4,5,6,7,3,2] [[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>[5,4,8,3,2,1,7,6]=>[2,3,8,5,4,7,1,6] [[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>[4,6,8,3,2,1,7,5]=>[2,3,8,4,7,6,1,5] [[1,4],[2,7],[3],[5],[6],[8]]=>[8,6,5,3,2,7,1,4]=>[3,6,8,5,2,1,7,4]=>[2,5,3,8,7,6,4,1] [[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>[1,6,8,5,4,3,7,2]=>[1,7,4,5,8,6,3,2] [[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>[4,3,8,7,2,1,6,5]=>[2,7,4,3,6,1,8,5] [[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>[3,5,8,7,2,1,6,4]=>[2,7,3,6,5,1,8,4] [[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>[2,5,8,7,4,1,6,3]=>[4,2,7,6,5,3,8,1] [[1,2],[3,6],[4],[5],[7],[8]]=>[8,7,5,4,3,6,1,2]=>[1,5,8,7,4,3,6,2]=>[1,6,4,7,5,3,8,2] [[1,4],[2,5],[3],[6],[7],[8]]=>[8,7,6,3,2,5,1,4]=>[3,2,8,7,6,1,5,4]=>[6,3,2,5,1,7,8,4] [[1,3],[2,5],[4],[6],[7],[8]]=>[8,7,6,4,2,5,1,3]=>[2,4,8,7,6,1,5,3]=>[6,2,5,4,1,7,8,3] [[1,2],[3,5],[4],[6],[7],[8]]=>[8,7,6,4,3,5,1,2]=>[1,4,8,7,6,3,5,2]=>[1,5,6,4,3,7,8,2] [[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>[2,1,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,3] [[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>[1,3,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,2] [[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8] [[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>[6,8,5,4,3,2,1,7]=>[2,3,4,5,8,6,1,7] [[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>[5,8,7,4,3,2,1,6]=>[2,3,4,7,5,1,8,6] [[1,5],[2],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,2,1,5]=>[4,8,7,6,3,2,1,5]=>[2,3,6,4,1,7,8,5] [[1,4],[2],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,2,1,4]=>[3,8,7,6,5,2,1,4]=>[2,5,3,1,6,7,8,4] [[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>[2,8,7,6,5,4,1,3]=>[4,2,1,5,6,7,8,3] [[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,2] [[1],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1] [[1,3,5,7,9],[2,4,6,8,10]]=>[2,4,6,8,10,1,3,5,7,9]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9] [[1,3,5,7,8],[2,4,6,9,10]]=>[2,4,6,9,10,1,3,5,7,8]=>[2,1,4,3,6,5,7,9,10,8]=>[2,1,4,3,6,5,7,10,9,8] [[1,3,5,6,9],[2,4,7,8,10]]=>[2,4,7,8,10,1,3,5,6,9]=>[2,1,4,3,5,7,8,6,10,9]=>[2,1,4,3,5,8,7,6,10,9] [[1,3,5,6,8],[2,4,7,9,10]]=>[2,4,7,9,10,1,3,5,6,8]=>[2,1,4,3,5,7,6,9,10,8]=>[2,1,4,3,5,7,6,10,9,8] [[1,3,5,6,7],[2,4,8,9,10]]=>[2,4,8,9,10,1,3,5,6,7]=>[2,1,4,3,5,6,8,9,10,7]=>[2,1,4,3,5,6,10,8,9,7] [[1,3,4,7,9],[2,5,6,8,10]]=>[2,5,6,8,10,1,3,4,7,9]=>[2,1,3,5,6,4,8,7,10,9]=>[2,1,3,6,5,4,8,7,10,9] [[1,3,4,7,8],[2,5,6,9,10]]=>[2,5,6,9,10,1,3,4,7,8]=>[2,1,3,5,6,4,7,9,10,8]=>[2,1,3,6,5,4,7,10,9,8] [[1,3,4,6,9],[2,5,7,8,10]]=>[2,5,7,8,10,1,3,4,6,9]=>[2,1,3,5,4,7,8,6,10,9]=>[2,1,3,5,4,8,7,6,10,9] [[1,3,4,6,8],[2,5,7,9,10]]=>[2,5,7,9,10,1,3,4,6,8]=>[2,1,3,5,4,7,6,9,10,8]=>[2,1,3,5,4,7,6,10,9,8] [[1,3,4,6,7],[2,5,8,9,10]]=>[2,5,8,9,10,1,3,4,6,7]=>[2,1,3,5,4,6,8,9,10,7]=>[2,1,3,5,4,6,10,8,9,7] [[1,3,4,5,9],[2,6,7,8,10]]=>[2,6,7,8,10,1,3,4,5,9]=>[2,1,3,4,6,7,8,5,10,9]=>[2,1,3,4,8,6,7,5,10,9] [[1,3,4,5,8],[2,6,7,9,10]]=>[2,6,7,9,10,1,3,4,5,8]=>[2,1,3,4,6,7,5,9,10,8]=>[2,1,3,4,7,6,5,10,9,8] [[1,3,4,5,7],[2,6,8,9,10]]=>[2,6,8,9,10,1,3,4,5,7]=>[2,1,3,4,6,5,8,9,10,7]=>[2,1,3,4,6,5,10,8,9,7] [[1,3,4,5,6],[2,7,8,9,10]]=>[2,7,8,9,10,1,3,4,5,6]=>[2,1,3,4,5,7,8,9,10,6]=>[2,1,3,4,5,10,7,8,9,6] [[1,2,5,7,9],[3,4,6,8,10]]=>[3,4,6,8,10,1,2,5,7,9]=>[1,3,4,2,6,5,8,7,10,9]=>[1,4,3,2,6,5,8,7,10,9] [[1,2,5,7,8],[3,4,6,9,10]]=>[3,4,6,9,10,1,2,5,7,8]=>[1,3,4,2,6,5,7,9,10,8]=>[1,4,3,2,6,5,7,10,9,8] [[1,2,5,6,9],[3,4,7,8,10]]=>[3,4,7,8,10,1,2,5,6,9]=>[1,3,4,2,5,7,8,6,10,9]=>[1,4,3,2,5,8,7,6,10,9] [[1,2,5,6,8],[3,4,7,9,10]]=>[3,4,7,9,10,1,2,5,6,8]=>[1,3,4,2,5,7,6,9,10,8]=>[1,4,3,2,5,7,6,10,9,8] [[1,2,5,6,7],[3,4,8,9,10]]=>[3,4,8,9,10,1,2,5,6,7]=>[1,3,4,2,5,6,8,9,10,7]=>[1,4,3,2,5,6,10,8,9,7] [[1,2,4,7,9],[3,5,6,8,10]]=>[3,5,6,8,10,1,2,4,7,9]=>[1,3,2,5,6,4,8,7,10,9]=>[1,3,2,6,5,4,8,7,10,9] [[1,2,4,7,8],[3,5,6,9,10]]=>[3,5,6,9,10,1,2,4,7,8]=>[1,3,2,5,6,4,7,9,10,8]=>[1,3,2,6,5,4,7,10,9,8] [[1,2,4,6,9],[3,5,7,8,10]]=>[3,5,7,8,10,1,2,4,6,9]=>[1,3,2,5,4,7,8,6,10,9]=>[1,3,2,5,4,8,7,6,10,9] [[1,2,4,6,8],[3,5,7,9,10]]=>[3,5,7,9,10,1,2,4,6,8]=>[1,3,2,5,4,7,6,9,10,8]=>[1,3,2,5,4,7,6,10,9,8] [[1,2,4,6,7],[3,5,8,9,10]]=>[3,5,8,9,10,1,2,4,6,7]=>[1,3,2,5,4,6,8,9,10,7]=>[1,3,2,5,4,6,10,8,9,7] [[1,2,4,5,9],[3,6,7,8,10]]=>[3,6,7,8,10,1,2,4,5,9]=>[1,3,2,4,6,7,8,5,10,9]=>[1,3,2,4,8,6,7,5,10,9] [[1,2,4,5,8],[3,6,7,9,10]]=>[3,6,7,9,10,1,2,4,5,8]=>[1,3,2,4,6,7,5,9,10,8]=>[1,3,2,4,7,6,5,10,9,8] [[1,2,4,5,7],[3,6,8,9,10]]=>[3,6,8,9,10,1,2,4,5,7]=>[1,3,2,4,6,5,8,9,10,7]=>[1,3,2,4,6,5,10,8,9,7] [[1,2,4,5,6],[3,7,8,9,10]]=>[3,7,8,9,10,1,2,4,5,6]=>[1,3,2,4,5,7,8,9,10,6]=>[1,3,2,4,5,10,7,8,9,6] [[1,2,3,7,9],[4,5,6,8,10]]=>[4,5,6,8,10,1,2,3,7,9]=>[1,2,4,5,6,3,8,7,10,9]=>[1,2,6,4,5,3,8,7,10,9] [[1,2,3,7,8],[4,5,6,9,10]]=>[4,5,6,9,10,1,2,3,7,8]=>[1,2,4,5,6,3,7,9,10,8]=>[1,2,6,4,5,3,7,10,9,8] [[1,2,3,6,9],[4,5,7,8,10]]=>[4,5,7,8,10,1,2,3,6,9]=>[1,2,4,5,3,7,8,6,10,9]=>[1,2,5,4,3,8,7,6,10,9] [[1,2,3,6,8],[4,5,7,9,10]]=>[4,5,7,9,10,1,2,3,6,8]=>[1,2,4,5,3,7,6,9,10,8]=>[1,2,5,4,3,7,6,10,9,8] [[1,2,3,6,7],[4,5,8,9,10]]=>[4,5,8,9,10,1,2,3,6,7]=>[1,2,4,5,3,6,8,9,10,7]=>[1,2,5,4,3,6,10,8,9,7] [[1,2,3,5,9],[4,6,7,8,10]]=>[4,6,7,8,10,1,2,3,5,9]=>[1,2,4,3,6,7,8,5,10,9]=>[1,2,4,3,8,6,7,5,10,9] [[1,2,3,5,8],[4,6,7,9,10]]=>[4,6,7,9,10,1,2,3,5,8]=>[1,2,4,3,6,7,5,9,10,8]=>[1,2,4,3,7,6,5,10,9,8] [[1,2,3,5,7],[4,6,8,9,10]]=>[4,6,8,9,10,1,2,3,5,7]=>[1,2,4,3,6,5,8,9,10,7]=>[1,2,4,3,6,5,10,8,9,7] [[1,2,3,5,6],[4,7,8,9,10]]=>[4,7,8,9,10,1,2,3,5,6]=>[1,2,4,3,5,7,8,9,10,6]=>[1,2,4,3,5,10,7,8,9,6] [[1,2,3,4,9],[5,6,7,8,10]]=>[5,6,7,8,10,1,2,3,4,9]=>[1,2,3,5,6,7,8,4,10,9]=>[1,2,3,8,5,6,7,4,10,9] [[1,2,3,4,8],[5,6,7,9,10]]=>[5,6,7,9,10,1,2,3,4,8]=>[1,2,3,5,6,7,4,9,10,8]=>[1,2,3,7,5,6,4,10,9,8] [[1,2,3,4,7],[5,6,8,9,10]]=>[5,6,8,9,10,1,2,3,4,7]=>[1,2,3,5,6,4,8,9,10,7]=>[1,2,3,6,5,4,10,8,9,7] [[1,2,3,4,6],[5,7,8,9,10]]=>[5,7,8,9,10,1,2,3,4,6]=>[1,2,3,5,4,7,8,9,10,6]=>[1,2,3,5,4,10,7,8,9,6] [[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5] [[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11] [[1,3,5,7,9,10],[2,4,6,8,11,12]]=>[2,4,6,8,11,12,1,3,5,7,9,10]=>[2,1,4,3,6,5,8,7,9,11,12,10]=>[2,1,4,3,6,5,8,7,9,12,11,10] [[1,3,5,7,8,11],[2,4,6,9,10,12]]=>[2,4,6,9,10,12,1,3,5,7,8,11]=>[2,1,4,3,6,5,7,9,10,8,12,11]=>[2,1,4,3,6,5,7,10,9,8,12,11] [[1,3,5,7,8,10],[2,4,6,9,11,12]]=>[2,4,6,9,11,12,1,3,5,7,8,10]=>[2,1,4,3,6,5,7,9,8,11,12,10]=>[2,1,4,3,6,5,7,9,8,12,11,10] [[1,3,5,7,8,9],[2,4,6,10,11,12]]=>[2,4,6,10,11,12,1,3,5,7,8,9]=>[2,1,4,3,6,5,7,8,10,11,12,9]=>[2,1,4,3,6,5,7,8,12,10,11,9] [[1,3,5,6,9,11],[2,4,7,8,10,12]]=>[2,4,7,8,10,12,1,3,5,6,9,11]=>[2,1,4,3,5,7,8,6,10,9,12,11]=>[2,1,4,3,5,8,7,6,10,9,12,11] [[1,3,5,6,9,10],[2,4,7,8,11,12]]=>[2,4,7,8,11,12,1,3,5,6,9,10]=>[2,1,4,3,5,7,8,6,9,11,12,10]=>[2,1,4,3,5,8,7,6,9,12,11,10] [[1,3,5,6,8,11],[2,4,7,9,10,12]]=>[2,4,7,9,10,12,1,3,5,6,8,11]=>[2,1,4,3,5,7,6,9,10,8,12,11]=>[2,1,4,3,5,7,6,10,9,8,12,11] [[1,3,5,6,8,10],[2,4,7,9,11,12]]=>[2,4,7,9,11,12,1,3,5,6,8,10]=>[2,1,4,3,5,7,6,9,8,11,12,10]=>[2,1,4,3,5,7,6,9,8,12,11,10] [[1,3,5,6,8,9],[2,4,7,10,11,12]]=>[2,4,7,10,11,12,1,3,5,6,8,9]=>[2,1,4,3,5,7,6,8,10,11,12,9]=>[2,1,4,3,5,7,6,8,12,10,11,9] [[1,3,5,6,7,11],[2,4,8,9,10,12]]=>[2,4,8,9,10,12,1,3,5,6,7,11]=>[2,1,4,3,5,6,8,9,10,7,12,11]=>[2,1,4,3,5,6,10,8,9,7,12,11] [[1,3,5,6,7,10],[2,4,8,9,11,12]]=>[2,4,8,9,11,12,1,3,5,6,7,10]=>[2,1,4,3,5,6,8,9,7,11,12,10]=>[2,1,4,3,5,6,9,8,7,12,11,10] [[1,3,5,6,7,9],[2,4,8,10,11,12]]=>[2,4,8,10,11,12,1,3,5,6,7,9]=>[2,1,4,3,5,6,8,7,10,11,12,9]=>[2,1,4,3,5,6,8,7,12,10,11,9] [[1,3,5,6,7,8],[2,4,9,10,11,12]]=>[2,4,9,10,11,12,1,3,5,6,7,8]=>[2,1,4,3,5,6,7,9,10,11,12,8]=>[2,1,4,3,5,6,7,12,9,10,11,8] [[1,3,4,7,9,11],[2,5,6,8,10,12]]=>[2,5,6,8,10,12,1,3,4,7,9,11]=>[2,1,3,5,6,4,8,7,10,9,12,11]=>[2,1,3,6,5,4,8,7,10,9,12,11] [[1,3,4,7,9,10],[2,5,6,8,11,12]]=>[2,5,6,8,11,12,1,3,4,7,9,10]=>[2,1,3,5,6,4,8,7,9,11,12,10]=>[2,1,3,6,5,4,8,7,9,12,11,10] [[1,3,4,7,8,11],[2,5,6,9,10,12]]=>[2,5,6,9,10,12,1,3,4,7,8,11]=>[2,1,3,5,6,4,7,9,10,8,12,11]=>[2,1,3,6,5,4,7,10,9,8,12,11] [[1,3,4,7,8,10],[2,5,6,9,11,12]]=>[2,5,6,9,11,12,1,3,4,7,8,10]=>[2,1,3,5,6,4,7,9,8,11,12,10]=>[2,1,3,6,5,4,7,9,8,12,11,10] [[1,3,4,7,8,9],[2,5,6,10,11,12]]=>[2,5,6,10,11,12,1,3,4,7,8,9]=>[2,1,3,5,6,4,7,8,10,11,12,9]=>[2,1,3,6,5,4,7,8,12,10,11,9] [[1,3,4,6,9,11],[2,5,7,8,10,12]]=>[2,5,7,8,10,12,1,3,4,6,9,11]=>[2,1,3,5,4,7,8,6,10,9,12,11]=>[2,1,3,5,4,8,7,6,10,9,12,11] [[1,3,4,6,9,10],[2,5,7,8,11,12]]=>[2,5,7,8,11,12,1,3,4,6,9,10]=>[2,1,3,5,4,7,8,6,9,11,12,10]=>[2,1,3,5,4,8,7,6,9,12,11,10] [[1,3,4,6,8,11],[2,5,7,9,10,12]]=>[2,5,7,9,10,12,1,3,4,6,8,11]=>[2,1,3,5,4,7,6,9,10,8,12,11]=>[2,1,3,5,4,7,6,10,9,8,12,11] [[1,3,4,6,8,10],[2,5,7,9,11,12]]=>[2,5,7,9,11,12,1,3,4,6,8,10]=>[2,1,3,5,4,7,6,9,8,11,12,10]=>[2,1,3,5,4,7,6,9,8,12,11,10] [[1,3,4,6,8,9],[2,5,7,10,11,12]]=>[2,5,7,10,11,12,1,3,4,6,8,9]=>[2,1,3,5,4,7,6,8,10,11,12,9]=>[2,1,3,5,4,7,6,8,12,10,11,9] [[1,3,4,6,7,11],[2,5,8,9,10,12]]=>[2,5,8,9,10,12,1,3,4,6,7,11]=>[2,1,3,5,4,6,8,9,10,7,12,11]=>[2,1,3,5,4,6,10,8,9,7,12,11] [[1,3,4,6,7,10],[2,5,8,9,11,12]]=>[2,5,8,9,11,12,1,3,4,6,7,10]=>[2,1,3,5,4,6,8,9,7,11,12,10]=>[2,1,3,5,4,6,9,8,7,12,11,10] [[1,3,4,6,7,9],[2,5,8,10,11,12]]=>[2,5,8,10,11,12,1,3,4,6,7,9]=>[2,1,3,5,4,6,8,7,10,11,12,9]=>[2,1,3,5,4,6,8,7,12,10,11,9] [[1,3,4,6,7,8],[2,5,9,10,11,12]]=>[2,5,9,10,11,12,1,3,4,6,7,8]=>[2,1,3,5,4,6,7,9,10,11,12,8]=>[2,1,3,5,4,6,7,12,9,10,11,8] [[1,3,4,5,9,11],[2,6,7,8,10,12]]=>[2,6,7,8,10,12,1,3,4,5,9,11]=>[2,1,3,4,6,7,8,5,10,9,12,11]=>[2,1,3,4,8,6,7,5,10,9,12,11] [[1,3,4,5,9,10],[2,6,7,8,11,12]]=>[2,6,7,8,11,12,1,3,4,5,9,10]=>[2,1,3,4,6,7,8,5,9,11,12,10]=>[2,1,3,4,8,6,7,5,9,12,11,10] [[1,3,4,5,8,11],[2,6,7,9,10,12]]=>[2,6,7,9,10,12,1,3,4,5,8,11]=>[2,1,3,4,6,7,5,9,10,8,12,11]=>[2,1,3,4,7,6,5,10,9,8,12,11] [[1,3,4,5,8,10],[2,6,7,9,11,12]]=>[2,6,7,9,11,12,1,3,4,5,8,10]=>[2,1,3,4,6,7,5,9,8,11,12,10]=>[2,1,3,4,7,6,5,9,8,12,11,10] [[1,3,4,5,8,9],[2,6,7,10,11,12]]=>[2,6,7,10,11,12,1,3,4,5,8,9]=>[2,1,3,4,6,7,5,8,10,11,12,9]=>[2,1,3,4,7,6,5,8,12,10,11,9] [[1,3,4,5,7,11],[2,6,8,9,10,12]]=>[2,6,8,9,10,12,1,3,4,5,7,11]=>[2,1,3,4,6,5,8,9,10,7,12,11]=>[2,1,3,4,6,5,10,8,9,7,12,11] [[1,3,4,5,7,10],[2,6,8,9,11,12]]=>[2,6,8,9,11,12,1,3,4,5,7,10]=>[2,1,3,4,6,5,8,9,7,11,12,10]=>[2,1,3,4,6,5,9,8,7,12,11,10] [[1,3,4,5,7,9],[2,6,8,10,11,12]]=>[2,6,8,10,11,12,1,3,4,5,7,9]=>[2,1,3,4,6,5,8,7,10,11,12,9]=>[2,1,3,4,6,5,8,7,12,10,11,9] [[1,3,4,5,7,8],[2,6,9,10,11,12]]=>[2,6,9,10,11,12,1,3,4,5,7,8]=>[2,1,3,4,6,5,7,9,10,11,12,8]=>[2,1,3,4,6,5,7,12,9,10,11,8] [[1,3,4,5,6,11],[2,7,8,9,10,12]]=>[2,7,8,9,10,12,1,3,4,5,6,11]=>[2,1,3,4,5,7,8,9,10,6,12,11]=>[2,1,3,4,5,10,7,8,9,6,12,11] [[1,3,4,5,6,10],[2,7,8,9,11,12]]=>[2,7,8,9,11,12,1,3,4,5,6,10]=>[2,1,3,4,5,7,8,9,6,11,12,10]=>[2,1,3,4,5,9,7,8,6,12,11,10] [[1,3,4,5,6,9],[2,7,8,10,11,12]]=>[2,7,8,10,11,12,1,3,4,5,6,9]=>[2,1,3,4,5,7,8,6,10,11,12,9]=>[2,1,3,4,5,8,7,6,12,10,11,9] [[1,3,4,5,6,8],[2,7,9,10,11,12]]=>[2,7,9,10,11,12,1,3,4,5,6,8]=>[2,1,3,4,5,7,6,9,10,11,12,8]=>[2,1,3,4,5,7,6,12,9,10,11,8] [[1,3,4,5,6,7],[2,8,9,10,11,12]]=>[2,8,9,10,11,12,1,3,4,5,6,7]=>[2,1,3,4,5,6,8,9,10,11,12,7]=>[2,1,3,4,5,6,12,8,9,10,11,7] [[1,2,5,7,9,11],[3,4,6,8,10,12]]=>[3,4,6,8,10,12,1,2,5,7,9,11]=>[1,3,4,2,6,5,8,7,10,9,12,11]=>[1,4,3,2,6,5,8,7,10,9,12,11] [[1,2,5,7,9,10],[3,4,6,8,11,12]]=>[3,4,6,8,11,12,1,2,5,7,9,10]=>[1,3,4,2,6,5,8,7,9,11,12,10]=>[1,4,3,2,6,5,8,7,9,12,11,10] [[1,2,5,7,8,11],[3,4,6,9,10,12]]=>[3,4,6,9,10,12,1,2,5,7,8,11]=>[1,3,4,2,6,5,7,9,10,8,12,11]=>[1,4,3,2,6,5,7,10,9,8,12,11] [[1,2,5,7,8,10],[3,4,6,9,11,12]]=>[3,4,6,9,11,12,1,2,5,7,8,10]=>[1,3,4,2,6,5,7,9,8,11,12,10]=>[1,4,3,2,6,5,7,9,8,12,11,10] [[1,2,5,7,8,9],[3,4,6,10,11,12]]=>[3,4,6,10,11,12,1,2,5,7,8,9]=>[1,3,4,2,6,5,7,8,10,11,12,9]=>[1,4,3,2,6,5,7,8,12,10,11,9] [[1,2,5,6,9,11],[3,4,7,8,10,12]]=>[3,4,7,8,10,12,1,2,5,6,9,11]=>[1,3,4,2,5,7,8,6,10,9,12,11]=>[1,4,3,2,5,8,7,6,10,9,12,11] [[1,2,5,6,9,10],[3,4,7,8,11,12]]=>[3,4,7,8,11,12,1,2,5,6,9,10]=>[1,3,4,2,5,7,8,6,9,11,12,10]=>[1,4,3,2,5,8,7,6,9,12,11,10] [[1,2,5,6,8,11],[3,4,7,9,10,12]]=>[3,4,7,9,10,12,1,2,5,6,8,11]=>[1,3,4,2,5,7,6,9,10,8,12,11]=>[1,4,3,2,5,7,6,10,9,8,12,11] [[1,2,5,6,8,10],[3,4,7,9,11,12]]=>[3,4,7,9,11,12,1,2,5,6,8,10]=>[1,3,4,2,5,7,6,9,8,11,12,10]=>[1,4,3,2,5,7,6,9,8,12,11,10] [[1,2,5,6,8,9],[3,4,7,10,11,12]]=>[3,4,7,10,11,12,1,2,5,6,8,9]=>[1,3,4,2,5,7,6,8,10,11,12,9]=>[1,4,3,2,5,7,6,8,12,10,11,9] [[1,2,5,6,7,11],[3,4,8,9,10,12]]=>[3,4,8,9,10,12,1,2,5,6,7,11]=>[1,3,4,2,5,6,8,9,10,7,12,11]=>[1,4,3,2,5,6,10,8,9,7,12,11] [[1,2,5,6,7,10],[3,4,8,9,11,12]]=>[3,4,8,9,11,12,1,2,5,6,7,10]=>[1,3,4,2,5,6,8,9,7,11,12,10]=>[1,4,3,2,5,6,9,8,7,12,11,10] [[1,2,5,6,7,9],[3,4,8,10,11,12]]=>[3,4,8,10,11,12,1,2,5,6,7,9]=>[1,3,4,2,5,6,8,7,10,11,12,9]=>[1,4,3,2,5,6,8,7,12,10,11,9] [[1,2,5,6,7,8],[3,4,9,10,11,12]]=>[3,4,9,10,11,12,1,2,5,6,7,8]=>[1,3,4,2,5,6,7,9,10,11,12,8]=>[1,4,3,2,5,6,7,12,9,10,11,8] [[1,2,4,7,9,11],[3,5,6,8,10,12]]=>[3,5,6,8,10,12,1,2,4,7,9,11]=>[1,3,2,5,6,4,8,7,10,9,12,11]=>[1,3,2,6,5,4,8,7,10,9,12,11] [[1,2,4,7,9,10],[3,5,6,8,11,12]]=>[3,5,6,8,11,12,1,2,4,7,9,10]=>[1,3,2,5,6,4,8,7,9,11,12,10]=>[1,3,2,6,5,4,8,7,9,12,11,10] [[1,2,4,7,8,11],[3,5,6,9,10,12]]=>[3,5,6,9,10,12,1,2,4,7,8,11]=>[1,3,2,5,6,4,7,9,10,8,12,11]=>[1,3,2,6,5,4,7,10,9,8,12,11] [[1,2,4,7,8,10],[3,5,6,9,11,12]]=>[3,5,6,9,11,12,1,2,4,7,8,10]=>[1,3,2,5,6,4,7,9,8,11,12,10]=>[1,3,2,6,5,4,7,9,8,12,11,10] [[1,2,4,7,8,9],[3,5,6,10,11,12]]=>[3,5,6,10,11,12,1,2,4,7,8,9]=>[1,3,2,5,6,4,7,8,10,11,12,9]=>[1,3,2,6,5,4,7,8,12,10,11,9] [[1,2,4,6,9,11],[3,5,7,8,10,12]]=>[3,5,7,8,10,12,1,2,4,6,9,11]=>[1,3,2,5,4,7,8,6,10,9,12,11]=>[1,3,2,5,4,8,7,6,10,9,12,11] [[1,2,4,6,9,10],[3,5,7,8,11,12]]=>[3,5,7,8,11,12,1,2,4,6,9,10]=>[1,3,2,5,4,7,8,6,9,11,12,10]=>[1,3,2,5,4,8,7,6,9,12,11,10] [[1,2,4,6,8,11],[3,5,7,9,10,12]]=>[3,5,7,9,10,12,1,2,4,6,8,11]=>[1,3,2,5,4,7,6,9,10,8,12,11]=>[1,3,2,5,4,7,6,10,9,8,12,11] [[1,2,4,6,8,10],[3,5,7,9,11,12]]=>[3,5,7,9,11,12,1,2,4,6,8,10]=>[1,3,2,5,4,7,6,9,8,11,12,10]=>[1,3,2,5,4,7,6,9,8,12,11,10] [[1,2,4,6,8,9],[3,5,7,10,11,12]]=>[3,5,7,10,11,12,1,2,4,6,8,9]=>[1,3,2,5,4,7,6,8,10,11,12,9]=>[1,3,2,5,4,7,6,8,12,10,11,9] [[1,2,4,6,7,11],[3,5,8,9,10,12]]=>[3,5,8,9,10,12,1,2,4,6,7,11]=>[1,3,2,5,4,6,8,9,10,7,12,11]=>[1,3,2,5,4,6,10,8,9,7,12,11] [[1,2,4,6,7,10],[3,5,8,9,11,12]]=>[3,5,8,9,11,12,1,2,4,6,7,10]=>[1,3,2,5,4,6,8,9,7,11,12,10]=>[1,3,2,5,4,6,9,8,7,12,11,10] [[1,2,4,6,7,9],[3,5,8,10,11,12]]=>[3,5,8,10,11,12,1,2,4,6,7,9]=>[1,3,2,5,4,6,8,7,10,11,12,9]=>[1,3,2,5,4,6,8,7,12,10,11,9] [[1,2,4,6,7,8],[3,5,9,10,11,12]]=>[3,5,9,10,11,12,1,2,4,6,7,8]=>[1,3,2,5,4,6,7,9,10,11,12,8]=>[1,3,2,5,4,6,7,12,9,10,11,8] [[1,2,4,5,9,11],[3,6,7,8,10,12]]=>[3,6,7,8,10,12,1,2,4,5,9,11]=>[1,3,2,4,6,7,8,5,10,9,12,11]=>[1,3,2,4,8,6,7,5,10,9,12,11] [[1,2,4,5,9,10],[3,6,7,8,11,12]]=>[3,6,7,8,11,12,1,2,4,5,9,10]=>[1,3,2,4,6,7,8,5,9,11,12,10]=>[1,3,2,4,8,6,7,5,9,12,11,10] [[1,2,4,5,8,11],[3,6,7,9,10,12]]=>[3,6,7,9,10,12,1,2,4,5,8,11]=>[1,3,2,4,6,7,5,9,10,8,12,11]=>[1,3,2,4,7,6,5,10,9,8,12,11] [[1,2,4,5,8,10],[3,6,7,9,11,12]]=>[3,6,7,9,11,12,1,2,4,5,8,10]=>[1,3,2,4,6,7,5,9,8,11,12,10]=>[1,3,2,4,7,6,5,9,8,12,11,10] [[1,2,4,5,8,9],[3,6,7,10,11,12]]=>[3,6,7,10,11,12,1,2,4,5,8,9]=>[1,3,2,4,6,7,5,8,10,11,12,9]=>[1,3,2,4,7,6,5,8,12,10,11,9] [[1,2,4,5,7,11],[3,6,8,9,10,12]]=>[3,6,8,9,10,12,1,2,4,5,7,11]=>[1,3,2,4,6,5,8,9,10,7,12,11]=>[1,3,2,4,6,5,10,8,9,7,12,11] [[1,2,4,5,7,10],[3,6,8,9,11,12]]=>[3,6,8,9,11,12,1,2,4,5,7,10]=>[1,3,2,4,6,5,8,9,7,11,12,10]=>[1,3,2,4,6,5,9,8,7,12,11,10] [[1,2,4,5,7,9],[3,6,8,10,11,12]]=>[3,6,8,10,11,12,1,2,4,5,7,9]=>[1,3,2,4,6,5,8,7,10,11,12,9]=>[1,3,2,4,6,5,8,7,12,10,11,9] [[1,2,4,5,7,8],[3,6,9,10,11,12]]=>[3,6,9,10,11,12,1,2,4,5,7,8]=>[1,3,2,4,6,5,7,9,10,11,12,8]=>[1,3,2,4,6,5,7,12,9,10,11,8] [[1,2,4,5,6,11],[3,7,8,9,10,12]]=>[3,7,8,9,10,12,1,2,4,5,6,11]=>[1,3,2,4,5,7,8,9,10,6,12,11]=>[1,3,2,4,5,10,7,8,9,6,12,11] [[1,2,4,5,6,10],[3,7,8,9,11,12]]=>[3,7,8,9,11,12,1,2,4,5,6,10]=>[1,3,2,4,5,7,8,9,6,11,12,10]=>[1,3,2,4,5,9,7,8,6,12,11,10] [[1,2,4,5,6,9],[3,7,8,10,11,12]]=>[3,7,8,10,11,12,1,2,4,5,6,9]=>[1,3,2,4,5,7,8,6,10,11,12,9]=>[1,3,2,4,5,8,7,6,12,10,11,9] [[1,2,4,5,6,8],[3,7,9,10,11,12]]=>[3,7,9,10,11,12,1,2,4,5,6,8]=>[1,3,2,4,5,7,6,9,10,11,12,8]=>[1,3,2,4,5,7,6,12,9,10,11,8] [[1,2,4,5,6,7],[3,8,9,10,11,12]]=>[3,8,9,10,11,12,1,2,4,5,6,7]=>[1,3,2,4,5,6,8,9,10,11,12,7]=>[1,3,2,4,5,6,12,8,9,10,11,7] [[1,2,3,7,9,11],[4,5,6,8,10,12]]=>[4,5,6,8,10,12,1,2,3,7,9,11]=>[1,2,4,5,6,3,8,7,10,9,12,11]=>[1,2,6,4,5,3,8,7,10,9,12,11] [[1,2,3,7,9,10],[4,5,6,8,11,12]]=>[4,5,6,8,11,12,1,2,3,7,9,10]=>[1,2,4,5,6,3,8,7,9,11,12,10]=>[1,2,6,4,5,3,8,7,9,12,11,10] [[1,2,3,7,8,11],[4,5,6,9,10,12]]=>[4,5,6,9,10,12,1,2,3,7,8,11]=>[1,2,4,5,6,3,7,9,10,8,12,11]=>[1,2,6,4,5,3,7,10,9,8,12,11] [[1,2,3,7,8,10],[4,5,6,9,11,12]]=>[4,5,6,9,11,12,1,2,3,7,8,10]=>[1,2,4,5,6,3,7,9,8,11,12,10]=>[1,2,6,4,5,3,7,9,8,12,11,10] [[1,2,3,7,8,9],[4,5,6,10,11,12]]=>[4,5,6,10,11,12,1,2,3,7,8,9]=>[1,2,4,5,6,3,7,8,10,11,12,9]=>[1,2,6,4,5,3,7,8,12,10,11,9] [[1,2,3,6,9,11],[4,5,7,8,10,12]]=>[4,5,7,8,10,12,1,2,3,6,9,11]=>[1,2,4,5,3,7,8,6,10,9,12,11]=>[1,2,5,4,3,8,7,6,10,9,12,11] [[1,2,3,6,9,10],[4,5,7,8,11,12]]=>[4,5,7,8,11,12,1,2,3,6,9,10]=>[1,2,4,5,3,7,8,6,9,11,12,10]=>[1,2,5,4,3,8,7,6,9,12,11,10] [[1,2,3,6,8,11],[4,5,7,9,10,12]]=>[4,5,7,9,10,12,1,2,3,6,8,11]=>[1,2,4,5,3,7,6,9,10,8,12,11]=>[1,2,5,4,3,7,6,10,9,8,12,11] [[1,2,3,6,8,10],[4,5,7,9,11,12]]=>[4,5,7,9,11,12,1,2,3,6,8,10]=>[1,2,4,5,3,7,6,9,8,11,12,10]=>[1,2,5,4,3,7,6,9,8,12,11,10] [[1,2,3,6,8,9],[4,5,7,10,11,12]]=>[4,5,7,10,11,12,1,2,3,6,8,9]=>[1,2,4,5,3,7,6,8,10,11,12,9]=>[1,2,5,4,3,7,6,8,12,10,11,9] [[1,2,3,6,7,11],[4,5,8,9,10,12]]=>[4,5,8,9,10,12,1,2,3,6,7,11]=>[1,2,4,5,3,6,8,9,10,7,12,11]=>[1,2,5,4,3,6,10,8,9,7,12,11] [[1,2,3,6,7,10],[4,5,8,9,11,12]]=>[4,5,8,9,11,12,1,2,3,6,7,10]=>[1,2,4,5,3,6,8,9,7,11,12,10]=>[1,2,5,4,3,6,9,8,7,12,11,10] [[1,2,3,6,7,9],[4,5,8,10,11,12]]=>[4,5,8,10,11,12,1,2,3,6,7,9]=>[1,2,4,5,3,6,8,7,10,11,12,9]=>[1,2,5,4,3,6,8,7,12,10,11,9] [[1,2,3,6,7,8],[4,5,9,10,11,12]]=>[4,5,9,10,11,12,1,2,3,6,7,8]=>[1,2,4,5,3,6,7,9,10,11,12,8]=>[1,2,5,4,3,6,7,12,9,10,11,8] [[1,2,3,5,9,11],[4,6,7,8,10,12]]=>[4,6,7,8,10,12,1,2,3,5,9,11]=>[1,2,4,3,6,7,8,5,10,9,12,11]=>[1,2,4,3,8,6,7,5,10,9,12,11] [[1,2,3,5,9,10],[4,6,7,8,11,12]]=>[4,6,7,8,11,12,1,2,3,5,9,10]=>[1,2,4,3,6,7,8,5,9,11,12,10]=>[1,2,4,3,8,6,7,5,9,12,11,10] [[1,2,3,5,8,11],[4,6,7,9,10,12]]=>[4,6,7,9,10,12,1,2,3,5,8,11]=>[1,2,4,3,6,7,5,9,10,8,12,11]=>[1,2,4,3,7,6,5,10,9,8,12,11] [[1,2,3,5,8,10],[4,6,7,9,11,12]]=>[4,6,7,9,11,12,1,2,3,5,8,10]=>[1,2,4,3,6,7,5,9,8,11,12,10]=>[1,2,4,3,7,6,5,9,8,12,11,10] [[1,2,3,5,8,9],[4,6,7,10,11,12]]=>[4,6,7,10,11,12,1,2,3,5,8,9]=>[1,2,4,3,6,7,5,8,10,11,12,9]=>[1,2,4,3,7,6,5,8,12,10,11,9] [[1,2,3,5,7,11],[4,6,8,9,10,12]]=>[4,6,8,9,10,12,1,2,3,5,7,11]=>[1,2,4,3,6,5,8,9,10,7,12,11]=>[1,2,4,3,6,5,10,8,9,7,12,11] [[1,2,3,5,7,10],[4,6,8,9,11,12]]=>[4,6,8,9,11,12,1,2,3,5,7,10]=>[1,2,4,3,6,5,8,9,7,11,12,10]=>[1,2,4,3,6,5,9,8,7,12,11,10] [[1,2,3,5,7,9],[4,6,8,10,11,12]]=>[4,6,8,10,11,12,1,2,3,5,7,9]=>[1,2,4,3,6,5,8,7,10,11,12,9]=>[1,2,4,3,6,5,8,7,12,10,11,9] [[1,2,3,5,7,8],[4,6,9,10,11,12]]=>[4,6,9,10,11,12,1,2,3,5,7,8]=>[1,2,4,3,6,5,7,9,10,11,12,8]=>[1,2,4,3,6,5,7,12,9,10,11,8] [[1,2,3,5,6,11],[4,7,8,9,10,12]]=>[4,7,8,9,10,12,1,2,3,5,6,11]=>[1,2,4,3,5,7,8,9,10,6,12,11]=>[1,2,4,3,5,10,7,8,9,6,12,11] [[1,2,3,5,6,10],[4,7,8,9,11,12]]=>[4,7,8,9,11,12,1,2,3,5,6,10]=>[1,2,4,3,5,7,8,9,6,11,12,10]=>[1,2,4,3,5,9,7,8,6,12,11,10] [[1,2,3,5,6,9],[4,7,8,10,11,12]]=>[4,7,8,10,11,12,1,2,3,5,6,9]=>[1,2,4,3,5,7,8,6,10,11,12,9]=>[1,2,4,3,5,8,7,6,12,10,11,9] [[1,2,3,5,6,8],[4,7,9,10,11,12]]=>[4,7,9,10,11,12,1,2,3,5,6,8]=>[1,2,4,3,5,7,6,9,10,11,12,8]=>[1,2,4,3,5,7,6,12,9,10,11,8] [[1,2,3,5,6,7],[4,8,9,10,11,12]]=>[4,8,9,10,11,12,1,2,3,5,6,7]=>[1,2,4,3,5,6,8,9,10,11,12,7]=>[1,2,4,3,5,6,12,8,9,10,11,7] [[1,2,3,4,9,11],[5,6,7,8,10,12]]=>[5,6,7,8,10,12,1,2,3,4,9,11]=>[1,2,3,5,6,7,8,4,10,9,12,11]=>[1,2,3,8,5,6,7,4,10,9,12,11] [[1,2,3,4,9,10],[5,6,7,8,11,12]]=>[5,6,7,8,11,12,1,2,3,4,9,10]=>[1,2,3,5,6,7,8,4,9,11,12,10]=>[1,2,3,8,5,6,7,4,9,12,11,10] [[1,2,3,4,8,11],[5,6,7,9,10,12]]=>[5,6,7,9,10,12,1,2,3,4,8,11]=>[1,2,3,5,6,7,4,9,10,8,12,11]=>[1,2,3,7,5,6,4,10,9,8,12,11] [[1,2,3,4,8,10],[5,6,7,9,11,12]]=>[5,6,7,9,11,12,1,2,3,4,8,10]=>[1,2,3,5,6,7,4,9,8,11,12,10]=>[1,2,3,7,5,6,4,9,8,12,11,10] [[1,2,3,4,8,9],[5,6,7,10,11,12]]=>[5,6,7,10,11,12,1,2,3,4,8,9]=>[1,2,3,5,6,7,4,8,10,11,12,9]=>[1,2,3,7,5,6,4,8,12,10,11,9] [[1,2,3,4,7,11],[5,6,8,9,10,12]]=>[5,6,8,9,10,12,1,2,3,4,7,11]=>[1,2,3,5,6,4,8,9,10,7,12,11]=>[1,2,3,6,5,4,10,8,9,7,12,11] [[1,2,3,4,7,10],[5,6,8,9,11,12]]=>[5,6,8,9,11,12,1,2,3,4,7,10]=>[1,2,3,5,6,4,8,9,7,11,12,10]=>[1,2,3,6,5,4,9,8,7,12,11,10] [[1,2,3,4,7,9],[5,6,8,10,11,12]]=>[5,6,8,10,11,12,1,2,3,4,7,9]=>[1,2,3,5,6,4,8,7,10,11,12,9]=>[1,2,3,6,5,4,8,7,12,10,11,9] [[1,2,3,4,7,8],[5,6,9,10,11,12]]=>[5,6,9,10,11,12,1,2,3,4,7,8]=>[1,2,3,5,6,4,7,9,10,11,12,8]=>[1,2,3,6,5,4,7,12,9,10,11,8] [[1,2,3,4,6,11],[5,7,8,9,10,12]]=>[5,7,8,9,10,12,1,2,3,4,6,11]=>[1,2,3,5,4,7,8,9,10,6,12,11]=>[1,2,3,5,4,10,7,8,9,6,12,11] [[1,2,3,4,6,10],[5,7,8,9,11,12]]=>[5,7,8,9,11,12,1,2,3,4,6,10]=>[1,2,3,5,4,7,8,9,6,11,12,10]=>[1,2,3,5,4,9,7,8,6,12,11,10] [[1,2,3,4,6,9],[5,7,8,10,11,12]]=>[5,7,8,10,11,12,1,2,3,4,6,9]=>[1,2,3,5,4,7,8,6,10,11,12,9]=>[1,2,3,5,4,8,7,6,12,10,11,9] [[1,2,3,4,6,8],[5,7,9,10,11,12]]=>[5,7,9,10,11,12,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,9,10,11,12,8]=>[1,2,3,5,4,7,6,12,9,10,11,8] [[1,2,3,4,6,7],[5,8,9,10,11,12]]=>[5,8,9,10,11,12,1,2,3,4,6,7]=>[1,2,3,5,4,6,8,9,10,11,12,7]=>[1,2,3,5,4,6,12,8,9,10,11,7] [[1,2,3,4,5,11],[6,7,8,9,10,12]]=>[6,7,8,9,10,12,1,2,3,4,5,11]=>[1,2,3,4,6,7,8,9,10,5,12,11]=>[1,2,3,4,10,6,7,8,9,5,12,11] [[1,2,3,4,5,10],[6,7,8,9,11,12]]=>[6,7,8,9,11,12,1,2,3,4,5,10]=>[1,2,3,4,6,7,8,9,5,11,12,10]=>[1,2,3,4,9,6,7,8,5,12,11,10] [[1,2,3,4,5,9],[6,7,8,10,11,12]]=>[6,7,8,10,11,12,1,2,3,4,5,9]=>[1,2,3,4,6,7,8,5,10,11,12,9]=>[1,2,3,4,8,6,7,5,12,10,11,9] [[1,2,3,4,5,8],[6,7,9,10,11,12]]=>[6,7,9,10,11,12,1,2,3,4,5,8]=>[1,2,3,4,6,7,5,9,10,11,12,8]=>[1,2,3,4,7,6,5,12,9,10,11,8] [[1,2,3,4,5,7],[6,8,9,10,11,12]]=>[6,8,9,10,11,12,1,2,3,4,5,7]=>[1,2,3,4,6,5,8,9,10,11,12,7]=>[1,2,3,4,6,5,12,8,9,10,11,7] [[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,10,11,12,6]=>[1,2,3,4,5,12,7,8,9,10,11,6] [[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]]=>[2,4,6,8,10,12,14,1,3,5,7,9,11,13]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13] [[1,3,5,7,9,11,13,15],[2,4,6,8,10,12,14,16]]=>[2,4,6,8,10,12,14,16,1,3,5,7,9,11,13,15]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15] [[1,2,3,4,5,6,7,8,9]]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9] [[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8] [[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7] [[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,8,9,7] [[1,2,3,4,5,6],[7,8,9]]=>[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6] [[1,2,3,4,5,6],[7,8],[9]]=>[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,9,8,6]=>[1,2,3,4,5,8,7,9,6] [[1,2,3,4,5,6],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,7,8,9,6] [[1,2,3,4,5],[6,7,8,9]]=>[6,7,8,9,1,2,3,4,5]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5] [[1,2,3,4,5],[6,7,8],[9]]=>[9,6,7,8,1,2,3,4,5]=>[1,2,3,4,6,7,9,8,5]=>[1,2,3,4,8,6,7,9,5] [[1,2,3,4,5],[6,7],[8,9]]=>[8,9,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,9,7,5]=>[1,2,3,4,7,6,9,8,5] [[1,2,3,4,5],[6,7],[8],[9]]=>[9,8,6,7,1,2,3,4,5]=>[1,2,3,4,6,9,8,7,5]=>[1,2,3,4,7,6,8,9,5] [[1,2,3,4,5],[6],[7],[8],[9]]=>[9,8,7,6,1,2,3,4,5]=>[1,2,3,4,9,8,7,6,5]=>[1,2,3,4,6,7,8,9,5] [[1,2,3,4],[5,6,7,8],[9]]=>[9,5,6,7,8,1,2,3,4]=>[1,2,3,5,6,7,9,8,4]=>[1,2,3,8,5,6,7,9,4] [[1,2,3,4],[5,6,7],[8,9]]=>[8,9,5,6,7,1,2,3,4]=>[1,2,3,5,6,8,9,7,4]=>[1,2,3,7,5,6,9,8,4] [[1,2,3,4],[5,6,7],[8],[9]]=>[9,8,5,6,7,1,2,3,4]=>[1,2,3,5,6,9,8,7,4]=>[1,2,3,7,5,6,8,9,4] [[1,2,3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,1,2,3,4]=>[1,2,3,5,7,9,8,6,4]=>[1,2,3,6,5,8,7,9,4] [[1,2,3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,1,2,3,4]=>[1,2,3,5,9,8,7,6,4]=>[1,2,3,6,5,7,8,9,4] [[1,2,3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,1,2,3,4]=>[1,2,3,9,8,7,6,5,4]=>[1,2,3,5,6,7,8,9,4] [[1,2,3],[4,5,6],[7,8,9]]=>[7,8,9,4,5,6,1,2,3]=>[1,2,4,5,7,8,9,6,3]=>[1,2,6,4,5,9,7,8,3] [[1,2,3],[4,5,6],[7,8],[9]]=>[9,7,8,4,5,6,1,2,3]=>[1,2,4,5,7,9,8,6,3]=>[1,2,6,4,5,8,7,9,3] [[1,2,3],[4,5,6],[7],[8],[9]]=>[9,8,7,4,5,6,1,2,3]=>[1,2,4,5,9,8,7,6,3]=>[1,2,6,4,5,7,8,9,3] [[1,2,3],[4,5],[6,7],[8,9]]=>[8,9,6,7,4,5,1,2,3]=>[1,2,4,6,8,9,7,5,3]=>[1,2,5,4,7,6,9,8,3] [[1,2,3],[4,5],[6,7],[8],[9]]=>[9,8,6,7,4,5,1,2,3]=>[1,2,4,6,9,8,7,5,3]=>[1,2,5,4,7,6,8,9,3] [[1,2,3],[4,5],[6],[7],[8],[9]]=>[9,8,7,6,4,5,1,2,3]=>[1,2,4,9,8,7,6,5,3]=>[1,2,5,4,6,7,8,9,3] [[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3]=>[1,2,9,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,9,3] [[1,2],[3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,3,4,1,2]=>[1,3,5,7,9,8,6,4,2]=>[1,4,3,6,5,8,7,9,2] [[1,2],[3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,3,4,1,2]=>[1,3,5,9,8,7,6,4,2]=>[1,4,3,6,5,7,8,9,2] [[1,2],[3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,3,4,1,2]=>[1,3,9,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,9,2] [[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2]=>[1,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,2] [[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1] [[1,2,3,4,5,6,7,8,9,10]]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10] [[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9] [[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8] [[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,9,10,8] [[1,2,3,4,5,6,7],[8,9,10]]=>[8,9,10,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7] [[1,2,3,4,5,6,7],[8,9],[10]]=>[10,8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,10,9,7]=>[1,2,3,4,5,6,9,8,10,7] [[1,2,3,4,5,6,7],[8],[9],[10]]=>[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,10,9,8,7]=>[1,2,3,4,5,6,8,9,10,7] [[1,2,3,4,5,6],[7,8,9,10]]=>[7,8,9,10,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6] [[1,2,3,4,5,6],[7,8,9],[10]]=>[10,7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,10,9,6]=>[1,2,3,4,5,9,7,8,10,6] [[1,2,3,4,5,6],[7,8],[9,10]]=>[9,10,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,9,10,8,6]=>[1,2,3,4,5,8,7,10,9,6] [[1,2,3,4,5,6],[7,8],[9],[10]]=>[10,9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,10,9,8,6]=>[1,2,3,4,5,8,7,9,10,6] [[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,10,9,8,7,6]=>[1,2,3,4,5,7,8,9,10,6] [[1,2,3,4,5],[6,7,8,9],[10]]=>[10,6,7,8,9,1,2,3,4,5]=>[1,2,3,4,6,7,8,10,9,5]=>[1,2,3,4,9,6,7,8,10,5] [[1,2,3,4,5],[6,7,8],[9,10]]=>[9,10,6,7,8,1,2,3,4,5]=>[1,2,3,4,6,7,9,10,8,5]=>[1,2,3,4,8,6,7,10,9,5] [[1,2,3,4,5],[6,7,8],[9],[10]]=>[10,9,6,7,8,1,2,3,4,5]=>[1,2,3,4,6,7,10,9,8,5]=>[1,2,3,4,8,6,7,9,10,5] [[1,2,3,4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,10,9,7,5]=>[1,2,3,4,7,6,9,8,10,5] [[1,2,3,4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,1,2,3,4,5]=>[1,2,3,4,6,10,9,8,7,5]=>[1,2,3,4,7,6,8,9,10,5] [[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,10,9,8,7,6,5]=>[1,2,3,4,6,7,8,9,10,5] [[1,2,3,4],[5,6,7,8],[9,10]]=>[9,10,5,6,7,8,1,2,3,4]=>[1,2,3,5,6,7,9,10,8,4]=>[1,2,3,8,5,6,7,10,9,4] [[1,2,3,4],[5,6,7,8],[9],[10]]=>[10,9,5,6,7,8,1,2,3,4]=>[1,2,3,5,6,7,10,9,8,4]=>[1,2,3,8,5,6,7,9,10,4] [[1,2,3,4],[5,6,7],[8,9,10]]=>[8,9,10,5,6,7,1,2,3,4]=>[1,2,3,5,6,8,9,10,7,4]=>[1,2,3,7,5,6,10,8,9,4] [[1,2,3,4],[5,6,7],[8,9],[10]]=>[10,8,9,5,6,7,1,2,3,4]=>[1,2,3,5,6,8,10,9,7,4]=>[1,2,3,7,5,6,9,8,10,4] [[1,2,3,4],[5,6,7],[8],[9],[10]]=>[10,9,8,5,6,7,1,2,3,4]=>[1,2,3,5,6,10,9,8,7,4]=>[1,2,3,7,5,6,8,9,10,4] [[1,2,3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,1,2,3,4]=>[1,2,3,5,7,9,10,8,6,4]=>[1,2,3,6,5,8,7,10,9,4] [[1,2,3,4],[5,6],[7,8],[9],[10]]=>[10,9,7,8,5,6,1,2,3,4]=>[1,2,3,5,7,10,9,8,6,4]=>[1,2,3,6,5,8,7,9,10,4] [[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[10,9,8,7,5,6,1,2,3,4]=>[1,2,3,5,10,9,8,7,6,4]=>[1,2,3,6,5,7,8,9,10,4] [[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,10,9,8,7,6,5,4]=>[1,2,3,5,6,7,8,9,10,4] [[1,2,3],[4,5,6],[7,8,9],[10]]=>[10,7,8,9,4,5,6,1,2,3]=>[1,2,4,5,7,8,10,9,6,3]=>[1,2,6,4,5,9,7,8,10,3] [[1,2,3],[4,5,6],[7,8],[9,10]]=>[9,10,7,8,4,5,6,1,2,3]=>[1,2,4,5,7,9,10,8,6,3]=>[1,2,6,4,5,8,7,10,9,3] [[1,2,3],[4,5,6],[7,8],[9],[10]]=>[10,9,7,8,4,5,6,1,2,3]=>[1,2,4,5,7,10,9,8,6,3]=>[1,2,6,4,5,8,7,9,10,3] [[1,2,3],[4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,4,5,6,1,2,3]=>[1,2,4,5,10,9,8,7,6,3]=>[1,2,6,4,5,7,8,9,10,3] [[1,2,3],[4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,4,5,1,2,3]=>[1,2,4,6,8,10,9,7,5,3]=>[1,2,5,4,7,6,9,8,10,3] [[1,2,3],[4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,4,5,1,2,3]=>[1,2,4,6,10,9,8,7,5,3]=>[1,2,5,4,7,6,8,9,10,3] [[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,4,5,1,2,3]=>[1,2,4,10,9,8,7,6,5,3]=>[1,2,5,4,6,7,8,9,10,3] [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,1,2,3]=>[1,2,10,9,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,9,10,3] [[1,2],[3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,3,4,1,2]=>[1,3,5,7,9,10,8,6,4,2]=>[1,4,3,6,5,8,7,10,9,2] [[1,2],[3,4],[5,6],[7,8],[9],[10]]=>[10,9,7,8,5,6,3,4,1,2]=>[1,3,5,7,10,9,8,6,4,2]=>[1,4,3,6,5,8,7,9,10,2] [[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>[10,9,8,7,5,6,3,4,1,2]=>[1,3,5,10,9,8,7,6,4,2]=>[1,4,3,6,5,7,8,9,10,2] [[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,3,4,1,2]=>[1,3,10,9,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,9,10,2] [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,1,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,10,2] [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1] [[1,2,3,4,5,6,7,8,9,10,11,12]]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12] [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[1,3,5,7,9,11,12,10,8,6,4,2]=>[1,4,3,6,5,8,7,10,9,12,11,2] [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,11,12,1] [[1,3,4,5,6,7,8,9],[2]]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9] [[1,2,5,6,7,8,9],[3,4]]=>[3,4,1,2,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9] [[1,4,5,6,7,8,9],[2],[3]]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9] [[1,2,3,7,8,9],[4,5,6]]=>[4,5,6,1,2,3,7,8,9]=>[1,2,4,5,6,3,7,8,9]=>[1,2,6,4,5,3,7,8,9] [[1,3,6,7,8,9],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9]=>[2,4,1,5,3,6,7,8,9]=>[4,2,5,1,3,6,7,8,9] [[1,5,6,7,8,9],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9] [[1,2,3,4,9],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9]=>[1,2,3,5,6,7,8,4,9]=>[1,2,3,8,5,6,7,4,9] [[1,3,4,8,9],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9]=>[2,1,5,3,6,7,4,8,9]=>[2,1,5,7,3,6,4,8,9] [[1,2,7,8,9],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8,9]=>[1,3,5,6,4,2,7,8,9]=>[1,4,3,6,5,2,7,8,9] [[1,4,7,8,9],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8,9]=>[3,5,2,1,6,4,7,8,9]=>[2,5,3,6,1,4,7,8,9] [[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9] [[1,3,4,5],[2,7,8,9],[6]]=>[6,2,7,8,9,1,3,4,5]=>[2,1,3,6,4,7,8,9,5]=>[2,1,3,6,9,4,7,8,5] [[1,2,5,9],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5,9]=>[1,3,4,6,7,2,8,5,9]=>[1,7,3,4,8,6,2,5,9] [[1,4,5,9],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5,9]=>[3,2,6,1,4,7,8,5,9]=>[6,3,2,1,8,4,7,5,9] [[1,3,8,9],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8,9]=>[2,4,6,1,7,5,3,8,9]=>[6,2,5,4,7,1,3,8,9] [[1,5,8,9],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9]=>[4,6,3,2,1,7,5,8,9]=>[2,3,6,4,7,1,5,8,9] [[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[2,3,4,5,6,1,7,8,9] [[1,3,6],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6]=>[2,4,1,7,5,8,3,9,6]=>[4,2,8,1,7,9,5,3,6] [[1,5,6],[2,8,9],[3],[4],[7]]=>[7,4,3,2,8,9,1,5,6]=>[4,3,7,2,1,5,8,9,6]=>[2,7,4,3,1,9,5,8,6] [[1,2,9],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9]=>[1,3,5,7,8,6,4,2,9]=>[1,4,3,6,5,8,7,2,9] [[1,4,9],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9]=>[3,5,7,2,1,8,6,4,9]=>[2,7,3,6,5,8,1,4,9] [[1,6,9],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6,9]=>[5,7,4,3,2,1,8,6,9]=>[2,3,4,7,5,8,1,6,9] [[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[2,3,4,5,6,7,1,8,9] [[1,3],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3]=>[2,4,6,8,1,9,7,5,3]=>[8,2,5,4,7,6,9,1,3] [[1,5],[2,7],[3,9],[4],[6],[8]]=>[8,6,4,3,9,2,7,1,5]=>[4,6,8,3,2,1,9,7,5]=>[2,3,8,4,7,6,9,1,5] [[1,7],[2,9],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,9,1,7]=>[6,8,5,4,3,2,1,9,7]=>[2,3,4,5,8,6,9,1,7] [[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,1,9] [[1,3,4,5,6,7,8,9,10],[2]]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10] [[1,2,5,6,7,8,9,10],[3,4]]=>[3,4,1,2,5,6,7,8,9,10]=>[1,3,4,2,5,6,7,8,9,10]=>[1,4,3,2,5,6,7,8,9,10] [[1,4,5,6,7,8,9,10],[2],[3]]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10] [[1,2,3,7,8,9,10],[4,5,6]]=>[4,5,6,1,2,3,7,8,9,10]=>[1,2,4,5,6,3,7,8,9,10]=>[1,2,6,4,5,3,7,8,9,10] [[1,3,6,7,8,9,10],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9,10]=>[2,4,1,5,3,6,7,8,9,10]=>[4,2,5,1,3,6,7,8,9,10] [[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10] [[1,2,3,4,9,10],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9,10]=>[1,2,3,5,6,7,8,4,9,10]=>[1,2,3,8,5,6,7,4,9,10] [[1,3,4,8,9,10],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9,10]=>[2,1,5,3,6,7,4,8,9,10]=>[2,1,5,7,3,6,4,8,9,10] [[1,2,7,8,9,10],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8,9,10]=>[1,3,5,6,4,2,7,8,9,10]=>[1,4,3,6,5,2,7,8,9,10] [[1,4,7,8,9,10],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8,9,10]=>[3,5,2,1,6,4,7,8,9,10]=>[2,5,3,6,1,4,7,8,9,10] [[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10] [[1,3,4,5,10],[2,7,8,9],[6]]=>[6,2,7,8,9,1,3,4,5,10]=>[2,1,3,6,4,7,8,9,5,10]=>[2,1,3,6,9,4,7,8,5,10] [[1,2,5,9,10],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5,9,10]=>[1,3,4,6,7,2,8,5,9,10]=>[1,7,3,4,8,6,2,5,9,10] [[1,4,5,9,10],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5,9,10]=>[3,2,6,1,4,7,8,5,9,10]=>[6,3,2,1,8,4,7,5,9,10] [[1,3,8,9,10],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8,9,10]=>[2,4,6,1,7,5,3,8,9,10]=>[6,2,5,4,7,1,3,8,9,10] [[1,5,8,9,10],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9,10]=>[4,6,3,2,1,7,5,8,9,10]=>[2,3,6,4,7,1,5,8,9,10] [[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10] [[1,2,5,6],[3,4,9,10],[7,8]]=>[7,8,3,4,9,10,1,2,5,6]=>[1,3,4,2,7,8,5,9,10,6]=>[1,4,3,2,8,10,7,5,9,6] [[1,4,5,6],[2,8,9,10],[3],[7]]=>[7,3,2,8,9,10,1,4,5,6]=>[3,2,1,7,4,5,8,9,10,6]=>[2,3,1,7,4,10,5,8,9,6] [[1,2,3,10],[4,5,6],[7,8,9]]=>[7,8,9,4,5,6,1,2,3,10]=>[1,2,4,5,7,8,9,6,3,10]=>[1,2,6,4,5,9,7,8,3,10] [[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>[2,4,1,7,5,8,3,9,6,10]=>[4,2,8,1,7,9,5,3,6,10] [[1,5,6,10],[2,8,9],[3],[4],[7]]=>[7,4,3,2,8,9,1,5,6,10]=>[4,3,7,2,1,5,8,9,6,10]=>[2,7,4,3,1,9,5,8,6,10] [[1,2,9,10],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9,10]=>[1,3,5,7,8,6,4,2,9,10]=>[1,4,3,6,5,8,7,2,9,10] [[1,4,9,10],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9,10]=>[3,5,7,2,1,8,6,4,9,10]=>[2,7,3,6,5,8,1,4,9,10] [[1,6,9,10],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6,9,10]=>[5,7,4,3,2,1,8,6,9,10]=>[2,3,4,7,5,8,1,6,9,10] [[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[2,3,4,5,6,7,1,8,9,10] [[1,3,4],[2,6,7],[5,9,10],[8]]=>[8,5,9,10,2,6,7,1,3,4]=>[2,1,5,3,8,6,9,10,7,4]=>[2,1,5,7,3,10,8,4,9,6] [[1,2,7],[3,4,10],[5,6],[8,9]]=>[8,9,5,6,3,4,10,1,2,7]=>[1,3,5,6,8,9,4,2,10,7]=>[1,4,3,9,5,6,10,8,2,7] [[1,4,7],[2,6,10],[3,9],[5],[8]]=>[8,5,3,9,2,6,10,1,4,7]=>[3,5,2,8,1,6,9,4,10,7]=>[8,5,3,9,2,1,10,6,4,7] [[1,6,7],[2,9,10],[3],[4],[5],[8]]=>[8,5,4,3,2,9,10,1,6,7]=>[5,4,8,3,2,1,6,9,10,7]=>[2,3,8,5,4,1,10,6,9,7] [[1,3,10],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3,10]=>[2,4,6,8,1,9,7,5,3,10]=>[8,2,5,4,7,6,9,1,3,10] [[1,5,10],[2,7],[3,9],[4],[6],[8]]=>[8,6,4,3,9,2,7,1,5,10]=>[4,6,8,3,2,1,9,7,5,10]=>[2,3,8,4,7,6,9,1,5,10] [[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,9,1,7,10]=>[6,8,5,4,3,2,1,9,7,10]=>[2,3,4,5,8,6,9,1,7,10] [[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[2,3,4,5,6,7,8,1,9,10] [[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[9,7,5,10,3,8,2,6,1,4]=>[3,5,7,9,2,1,10,8,6,4]=>[2,9,3,6,5,8,7,10,1,4] [[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>[9,7,5,4,3,10,2,8,1,6]=>[5,7,9,4,3,2,1,10,8,6]=>[2,3,4,9,5,8,7,10,1,6] [[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,10,1,8]=>[7,9,6,5,4,3,2,1,10,8]=>[2,3,4,5,6,9,7,10,1,8] [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,1,10] [[1,8],[2,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,9,1,8]=>[7,6,5,4,3,2,1,9,8]=>[2,3,4,5,6,7,1,9,8] [[1,7],[2,8],[3,9],[4],[5],[6]]=>[6,5,4,3,9,2,8,1,7]=>[6,5,4,3,2,1,9,8,7]=>[2,3,4,5,6,1,8,9,7] [[1,7,9],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7,9]=>[6,5,4,3,2,1,8,7,9]=>[2,3,4,5,6,1,8,7,9] [[1,6],[2,7],[3,8],[4,9],[5]]=>[5,4,9,3,8,2,7,1,6]=>[5,4,3,2,1,9,8,7,6]=>[2,3,4,5,1,7,8,9,6] [[1,6,9],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6,9]=>[5,4,3,2,1,8,7,6,9]=>[2,3,4,5,1,7,8,6,9] [[1,6,8],[2,7,9],[3],[4],[5]]=>[5,4,3,2,7,9,1,6,8]=>[5,4,3,2,1,7,6,9,8]=>[2,3,4,5,1,7,6,9,8] [[1,6,8,9],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8,9]=>[5,4,3,2,1,7,6,8,9]=>[2,3,4,5,1,7,6,8,9] [[1,5,9],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5,9]=>[4,3,2,1,8,7,6,5,9]=>[2,3,4,1,6,7,8,5,9] [[1,5,8],[2,6,9],[3,7],[4]]=>[4,3,7,2,6,9,1,5,8]=>[4,3,2,1,7,6,5,9,8]=>[2,3,4,1,6,7,5,9,8] [[1,5,8,9],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8,9]=>[4,3,2,1,7,6,5,8,9]=>[2,3,4,1,6,7,5,8,9] [[1,5,7,9],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7,9]=>[4,3,2,1,6,5,8,7,9]=>[2,3,4,1,6,5,8,7,9] [[1,5,7,8,9],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8,9]=>[4,3,2,1,6,5,7,8,9]=>[2,3,4,1,6,5,7,8,9] [[1,4,7],[2,5,8],[3,6,9]]=>[3,6,9,2,5,8,1,4,7]=>[3,2,1,6,5,4,9,8,7]=>[2,3,1,5,6,4,8,9,7] [[1,4,7,9],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7,9]=>[3,2,1,6,5,4,8,7,9]=>[2,3,1,5,6,4,8,7,9] [[1,4,7,8,9],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8,9]=>[3,2,1,6,5,4,7,8,9]=>[2,3,1,5,6,4,7,8,9] [[1,4,6,8],[2,5,7,9],[3]]=>[3,2,5,7,9,1,4,6,8]=>[3,2,1,5,4,7,6,9,8]=>[2,3,1,5,4,7,6,9,8] [[1,4,6,8,9],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8,9]=>[3,2,1,5,4,7,6,8,9]=>[2,3,1,5,4,7,6,8,9] [[1,4,6,7,8,9],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9]=>[3,2,1,5,4,6,7,8,9]=>[2,3,1,5,4,6,7,8,9] [[1,3,5,7,9],[2,4,6,8]]=>[2,4,6,8,1,3,5,7,9]=>[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9] [[1,3,5,7,8,9],[2,4,6]]=>[2,4,6,1,3,5,7,8,9]=>[2,1,4,3,6,5,7,8,9]=>[2,1,4,3,6,5,7,8,9] [[1,3,5,6,7,8,9],[2,4]]=>[2,4,1,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9] [[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,10,1,9]=>[8,7,6,5,4,3,2,1,10,9]=>[2,3,4,5,6,7,8,1,10,9] [[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>[7,6,5,4,3,10,2,9,1,8]=>[7,6,5,4,3,2,1,10,9,8]=>[2,3,4,5,6,7,1,9,10,8] [[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,9,1,8,10]=>[7,6,5,4,3,2,1,9,8,10]=>[2,3,4,5,6,7,1,9,8,10] [[1,7],[2,8],[3,9],[4,10],[5],[6]]=>[6,5,4,10,3,9,2,8,1,7]=>[6,5,4,3,2,1,10,9,8,7]=>[2,3,4,5,6,1,8,9,10,7] [[1,7,10],[2,8],[3,9],[4],[5],[6]]=>[6,5,4,3,9,2,8,1,7,10]=>[6,5,4,3,2,1,9,8,7,10]=>[2,3,4,5,6,1,8,9,7,10] [[1,7,9],[2,8,10],[3],[4],[5],[6]]=>[6,5,4,3,2,8,10,1,7,9]=>[6,5,4,3,2,1,8,7,10,9]=>[2,3,4,5,6,1,8,7,10,9] [[1,7,9,10],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7,9,10]=>[6,5,4,3,2,1,8,7,9,10]=>[2,3,4,5,6,1,8,7,9,10] [[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,10,4,9,3,8,2,7,1,6]=>[5,4,3,2,1,10,9,8,7,6]=>[2,3,4,5,1,7,8,9,10,6] [[1,6,10],[2,7],[3,8],[4,9],[5]]=>[5,4,9,3,8,2,7,1,6,10]=>[5,4,3,2,1,9,8,7,6,10]=>[2,3,4,5,1,7,8,9,6,10] [[1,6,9],[2,7,10],[3,8],[4],[5]]=>[5,4,3,8,2,7,10,1,6,9]=>[5,4,3,2,1,8,7,6,10,9]=>[2,3,4,5,1,7,8,6,10,9] [[1,6,9,10],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6,9,10]=>[5,4,3,2,1,8,7,6,9,10]=>[2,3,4,5,1,7,8,6,9,10] [[1,6,8,10],[2,7,9],[3],[4],[5]]=>[5,4,3,2,7,9,1,6,8,10]=>[5,4,3,2,1,7,6,9,8,10]=>[2,3,4,5,1,7,6,9,8,10] [[1,6,8,9,10],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8,9,10]=>[5,4,3,2,1,7,6,8,9,10]=>[2,3,4,5,1,7,6,8,9,10] [[1,5,9],[2,6,10],[3,7],[4,8]]=>[4,8,3,7,2,6,10,1,5,9]=>[4,3,2,1,8,7,6,5,10,9]=>[2,3,4,1,6,7,8,5,10,9] [[1,5,9,10],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5,9,10]=>[4,3,2,1,8,7,6,5,9,10]=>[2,3,4,1,6,7,8,5,9,10] [[1,5,8],[2,6,9],[3,7,10],[4]]=>[4,3,7,10,2,6,9,1,5,8]=>[4,3,2,1,7,6,5,10,9,8]=>[2,3,4,1,6,7,5,9,10,8] [[1,5,8,10],[2,6,9],[3,7],[4]]=>[4,3,7,2,6,9,1,5,8,10]=>[4,3,2,1,7,6,5,9,8,10]=>[2,3,4,1,6,7,5,9,8,10] [[1,5,8,9,10],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8,9,10]=>[4,3,2,1,7,6,5,8,9,10]=>[2,3,4,1,6,7,5,8,9,10] [[1,5,7,9],[2,6,8,10],[3],[4]]=>[4,3,2,6,8,10,1,5,7,9]=>[4,3,2,1,6,5,8,7,10,9]=>[2,3,4,1,6,5,8,7,10,9] [[1,5,7,9,10],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7,9,10]=>[4,3,2,1,6,5,8,7,9,10]=>[2,3,4,1,6,5,8,7,9,10] [[1,5,7,8,9,10],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8,9,10]=>[4,3,2,1,6,5,7,8,9,10]=>[2,3,4,1,6,5,7,8,9,10] [[1,4,7,10],[2,5,8],[3,6,9]]=>[3,6,9,2,5,8,1,4,7,10]=>[3,2,1,6,5,4,9,8,7,10]=>[2,3,1,5,6,4,8,9,7,10] [[1,4,7,9],[2,5,8,10],[3,6]]=>[3,6,2,5,8,10,1,4,7,9]=>[3,2,1,6,5,4,8,7,10,9]=>[2,3,1,5,6,4,8,7,10,9] [[1,4,7,9,10],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7,9,10]=>[3,2,1,6,5,4,8,7,9,10]=>[2,3,1,5,6,4,8,7,9,10] [[1,4,7,8,9,10],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8,9,10]=>[3,2,1,6,5,4,7,8,9,10]=>[2,3,1,5,6,4,7,8,9,10] [[1,4,6,8,10],[2,5,7,9],[3]]=>[3,2,5,7,9,1,4,6,8,10]=>[3,2,1,5,4,7,6,9,8,10]=>[2,3,1,5,4,7,6,9,8,10] [[1,4,6,8,9,10],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8,9,10]=>[3,2,1,5,4,7,6,8,9,10]=>[2,3,1,5,4,7,6,8,9,10] [[1,4,6,7,8,9,10],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9,10]=>[3,2,1,5,4,6,7,8,9,10]=>[2,3,1,5,4,6,7,8,9,10] [[1,3,5,7,9,10],[2,4,6,8]]=>[2,4,6,8,1,3,5,7,9,10]=>[2,1,4,3,6,5,8,7,9,10]=>[2,1,4,3,6,5,8,7,9,10] [[1,3,5,7,8,9,10],[2,4,6]]=>[2,4,6,1,3,5,7,8,9,10]=>[2,1,4,3,6,5,7,8,9,10]=>[2,1,4,3,6,5,7,8,9,10] [[1,3,5,6,7,8,9,10],[2,4]]=>[2,4,1,3,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10] [[1,3],[2,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,2,4,1,3]=>[2,1,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,3] [[1,4],[2,5],[3,6],[7],[8],[9]]=>[9,8,7,3,6,2,5,1,4]=>[3,2,1,9,8,7,6,5,4]=>[2,3,1,5,6,7,8,9,4] [[1,2,4],[3,5],[6],[7],[8],[9]]=>[9,8,7,6,3,5,1,2,4]=>[1,3,2,9,8,7,6,5,4]=>[1,3,2,5,6,7,8,9,4] [[1,5],[2,6],[3,7],[4,8],[9]]=>[9,4,8,3,7,2,6,1,5]=>[4,3,2,1,9,8,7,6,5]=>[2,3,4,1,6,7,8,9,5] [[1,2,5],[3,6],[4,7],[8],[9]]=>[9,8,4,7,3,6,1,2,5]=>[1,4,3,2,9,8,7,6,5]=>[1,3,4,2,6,7,8,9,5] [[1,3,5],[2,4,6],[7],[8],[9]]=>[9,8,7,2,4,6,1,3,5]=>[2,1,4,3,9,8,7,6,5]=>[2,1,4,3,6,7,8,9,5] [[1,2,3,5],[4,6],[7],[8],[9]]=>[9,8,7,4,6,1,2,3,5]=>[1,2,4,3,9,8,7,6,5]=>[1,2,4,3,6,7,8,9,5] [[1,2,6],[3,7],[4,8],[5,9]]=>[5,9,4,8,3,7,1,2,6]=>[1,5,4,3,2,9,8,7,6]=>[1,3,4,5,2,7,8,9,6] [[1,3,6],[2,4,7],[5,8],[9]]=>[9,5,8,2,4,7,1,3,6]=>[2,1,5,4,3,9,8,7,6]=>[2,1,4,5,3,7,8,9,6] [[1,2,3,6],[4,7],[5,8],[9]]=>[9,5,8,4,7,1,2,3,6]=>[1,2,5,4,3,9,8,7,6]=>[1,2,4,5,3,7,8,9,6] [[1,2,4,6],[3,5,7],[8],[9]]=>[9,8,3,5,7,1,2,4,6]=>[1,3,2,5,4,9,8,7,6]=>[1,3,2,5,4,7,8,9,6] [[1,2,3,4,6],[5,7],[8],[9]]=>[9,8,5,7,1,2,3,4,6]=>[1,2,3,5,4,9,8,7,6]=>[1,2,3,5,4,7,8,9,6] [[1,2,4,7],[3,5,8],[6,9]]=>[6,9,3,5,8,1,2,4,7]=>[1,3,2,6,5,4,9,8,7]=>[1,3,2,5,6,4,8,9,7] [[1,2,3,4,7],[5,8],[6,9]]=>[6,9,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,9,8,7]=>[1,2,3,5,6,4,8,9,7] [[1,3,5,7],[2,4,6,8],[9]]=>[9,2,4,6,8,1,3,5,7]=>[2,1,4,3,6,5,9,8,7]=>[2,1,4,3,6,5,8,9,7] [[1,2,3,5,7],[4,6,8],[9]]=>[9,4,6,8,1,2,3,5,7]=>[1,2,4,3,6,5,9,8,7]=>[1,2,4,3,6,5,8,9,7] [[1,2,3,4,5,7],[6,8],[9]]=>[9,6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,9,8,7]=>[1,2,3,4,6,5,8,9,7] [[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8] [[1,2,3,4,6,8],[5,7,9]]=>[5,7,9,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,9,8]=>[1,2,3,5,4,7,6,9,8] [[1,2,3,4,5,6,8],[7,9]]=>[7,9,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8] [[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,2,4,1,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,3] [[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>[10,9,8,7,3,6,2,5,1,4]=>[3,2,1,10,9,8,7,6,5,4]=>[2,3,1,5,6,7,8,9,10,4] [[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,3,5,1,2,4]=>[1,3,2,10,9,8,7,6,5,4]=>[1,3,2,5,6,7,8,9,10,4] [[1,5],[2,6],[3,7],[4,8],[9],[10]]=>[10,9,4,8,3,7,2,6,1,5]=>[4,3,2,1,10,9,8,7,6,5]=>[2,3,4,1,6,7,8,9,10,5] [[1,2,5],[3,6],[4,7],[8],[9],[10]]=>[10,9,8,4,7,3,6,1,2,5]=>[1,4,3,2,10,9,8,7,6,5]=>[1,3,4,2,6,7,8,9,10,5] [[1,3,5],[2,4,6],[7],[8],[9],[10]]=>[10,9,8,7,2,4,6,1,3,5]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,6,7,8,9,10,5] [[1,2,3,5],[4,6],[7],[8],[9],[10]]=>[10,9,8,7,4,6,1,2,3,5]=>[1,2,4,3,10,9,8,7,6,5]=>[1,2,4,3,6,7,8,9,10,5] [[1,2,6],[3,7],[4,8],[5,9],[10]]=>[10,5,9,4,8,3,7,1,2,6]=>[1,5,4,3,2,10,9,8,7,6]=>[1,3,4,5,2,7,8,9,10,6] [[1,3,6],[2,4,7],[5,8],[9],[10]]=>[10,9,5,8,2,4,7,1,3,6]=>[2,1,5,4,3,10,9,8,7,6]=>[2,1,4,5,3,7,8,9,10,6] [[1,2,3,6],[4,7],[5,8],[9],[10]]=>[10,9,5,8,4,7,1,2,3,6]=>[1,2,5,4,3,10,9,8,7,6]=>[1,2,4,5,3,7,8,9,10,6] [[1,2,4,6],[3,5,7],[8],[9],[10]]=>[10,9,8,3,5,7,1,2,4,6]=>[1,3,2,5,4,10,9,8,7,6]=>[1,3,2,5,4,7,8,9,10,6] [[1,2,3,4,6],[5,7],[8],[9],[10]]=>[10,9,8,5,7,1,2,3,4,6]=>[1,2,3,5,4,10,9,8,7,6]=>[1,2,3,5,4,7,8,9,10,6] [[1,3,7],[2,4,8],[5,9],[6,10]]=>[6,10,5,9,2,4,8,1,3,7]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,4,5,6,3,8,9,10,7] [[1,2,3,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,1,2,3,7]=>[1,2,6,5,4,3,10,9,8,7]=>[1,2,4,5,6,3,8,9,10,7] [[1,4,7],[2,5,8],[3,6,9],[10]]=>[10,3,6,9,2,5,8,1,4,7]=>[3,2,1,6,5,4,10,9,8,7]=>[2,3,1,5,6,4,8,9,10,7] [[1,2,4,7],[3,5,8],[6,9],[10]]=>[10,6,9,3,5,8,1,2,4,7]=>[1,3,2,6,5,4,10,9,8,7]=>[1,3,2,5,6,4,8,9,10,7] [[1,2,3,4,7],[5,8],[6,9],[10]]=>[10,6,9,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,10,9,8,7]=>[1,2,3,5,6,4,8,9,10,7] [[1,3,5,7],[2,4,6,8],[9],[10]]=>[10,9,2,4,6,8,1,3,5,7]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,8,9,10,7] [[1,2,3,5,7],[4,6,8],[9],[10]]=>[10,9,4,6,8,1,2,3,5,7]=>[1,2,4,3,6,5,10,9,8,7]=>[1,2,4,3,6,5,8,9,10,7] [[1,2,3,4,5,7],[6,8],[9],[10]]=>[10,9,6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,10,9,8,7]=>[1,2,3,4,6,5,8,9,10,7] [[1,2,5,8],[3,6,9],[4,7,10]]=>[4,7,10,3,6,9,1,2,5,8]=>[1,4,3,2,7,6,5,10,9,8]=>[1,3,4,2,6,7,5,9,10,8] [[1,3,5,8],[2,4,6,9],[7,10]]=>[7,10,2,4,6,9,1,3,5,8]=>[2,1,4,3,7,6,5,10,9,8]=>[2,1,4,3,6,7,5,9,10,8] [[1,2,3,5,8],[4,6,9],[7,10]]=>[7,10,4,6,9,1,2,3,5,8]=>[1,2,4,3,7,6,5,10,9,8]=>[1,2,4,3,6,7,5,9,10,8] [[1,2,3,4,5,8],[6,9],[7,10]]=>[7,10,6,9,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,10,9,8]=>[1,2,3,4,6,7,5,9,10,8] [[1,2,4,6,8],[3,5,7,9],[10]]=>[10,3,5,7,9,1,2,4,6,8]=>[1,3,2,5,4,7,6,10,9,8]=>[1,3,2,5,4,7,6,9,10,8] [[1,2,3,4,6,8],[5,7,9],[10]]=>[10,5,7,9,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,10,9,8]=>[1,2,3,5,4,7,6,9,10,8] [[1,2,3,4,5,6,8],[7,9],[10]]=>[10,7,9,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,10,9,8]=>[1,2,3,4,5,7,6,9,10,8] [[1,2,3,5,7,9],[4,6,8,10]]=>[4,6,8,10,1,2,3,5,7,9]=>[1,2,4,3,6,5,8,7,10,9]=>[1,2,4,3,6,5,8,7,10,9] [[1,2,3,4,5,7,9],[6,8,10]]=>[6,8,10,1,2,3,4,5,7,9]=>[1,2,3,4,6,5,8,7,10,9]=>[1,2,3,4,6,5,8,7,10,9] [[1,2,3,4,5,6,7,9],[8,10]]=>[8,10,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9] [[1,2],[3,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,3,7,1,2]=>[1,6,5,4,3,10,9,8,7,2]=>[1,7,4,5,6,3,8,9,10,2] [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>[6,12,5,11,4,10,3,9,2,8,1,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[2,3,4,5,6,1,8,9,10,11,12,7] [[1,2,3,4,5,6,7,9],[8]]=>[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9] [[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>[1,2,3,4,5,7,8,6,9]=>[1,2,3,4,5,8,7,6,9] [[1,2,3,4,5,9],[6,7,8]]=>[6,7,8,1,2,3,4,5,9]=>[1,2,3,4,6,7,8,5,9]=>[1,2,3,4,8,6,7,5,9] [[1,2,3,9],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3,9]=>[1,2,4,6,8,7,5,3,9]=>[1,2,5,4,7,6,8,3,9] [[1,2,3,9],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3,9]=>[1,2,8,7,6,5,4,3,9]=>[1,2,4,5,6,7,8,3,9] [[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9]=>[1,8,7,6,5,4,3,2,9]=>[1,3,4,5,6,7,8,2,9] [[1,2,3,4,5,6,7,8,10],[9]]=>[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10] [[1,2,3,4,5,6,7,10],[8,9]]=>[8,9,1,2,3,4,5,6,7,10]=>[1,2,3,4,5,6,8,9,7,10]=>[1,2,3,4,5,6,9,8,7,10] [[1,2,3,4,5,6,10],[7,8,9]]=>[7,8,9,1,2,3,4,5,6,10]=>[1,2,3,4,5,7,8,9,6,10]=>[1,2,3,4,5,9,7,8,6,10] [[1,2,3,10],[4,5],[6,7],[8,9]]=>[8,9,6,7,4,5,1,2,3,10]=>[1,2,4,6,8,9,7,5,3,10]=>[1,2,5,4,7,6,9,8,3,10] [[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2,10]=>[1,9,8,7,6,5,4,3,2,10]=>[1,3,4,5,6,7,8,9,2,10] []=>[]=>[]=>[] [[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9] [[1,3,5,6,7,8,9],[2],[4]]=>[4,2,1,3,5,6,7,8,9]=>[2,4,1,3,5,6,7,8,9]=>[4,2,1,3,5,6,7,8,9] [[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,1,8]=>[7,9,6,5,4,3,2,1,8]=>[2,3,4,5,6,9,7,1,8] [[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10] [[1,3,5,6,7,8,9,10],[2],[4]]=>[4,2,1,3,5,6,7,8,9,10]=>[2,4,1,3,5,6,7,8,9,10]=>[4,2,1,3,5,6,7,8,9,10] [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[10,8,7,6,5,4,3,2,1,9]=>[8,10,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,10,8,1,9] [[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8] [[1,3,4,5,6,7,8],[2],[9]]=>[9,2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,9,7,8]=>[2,1,3,4,5,6,9,7,8] [[1,3,4,5,6,7],[2,8,9]]=>[2,8,9,1,3,4,5,6,7]=>[2,1,3,4,5,6,8,9,7]=>[2,1,3,4,5,6,9,8,7] [[1,3,4,5,6,7],[2],[8],[9]]=>[9,8,2,1,3,4,5,6,7]=>[2,1,3,4,5,9,8,6,7]=>[2,1,3,4,5,8,6,9,7] [[1,3,4],[2],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,2,1,3,4]=>[2,1,9,8,7,6,5,3,4]=>[2,1,5,3,6,7,8,9,4] [[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,1,3]=>[2,9,8,7,6,5,4,1,3]=>[4,2,1,5,6,7,8,9,3] [[1,3,4,5,6,7,8,9],[2,10]]=>[2,10,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9] [[1,3,4,5,6,7,8,9],[2],[10]]=>[10,2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,10,8,9]=>[2,1,3,4,5,6,7,10,8,9] [[1,3,4,5,6,7,8],[2,9,10]]=>[2,9,10,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,9,10,8]=>[2,1,3,4,5,6,7,10,9,8] [[1,3,4,5],[2,7,8],[6,10],[9]]=>[9,6,10,2,7,8,1,3,4,5]=>[2,1,3,6,4,9,7,10,8,5]=>[2,1,3,6,8,4,10,9,5,7] [[1,3,4],[2],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,2,1,3,4]=>[2,1,10,9,8,7,6,5,3,4]=>[2,1,5,3,6,7,8,9,10,4] [[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,2,1,3]=>[2,10,9,8,7,6,5,4,1,3]=>[4,2,1,5,6,7,8,9,10,3] [[1,2,4,6,8,10],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10] [[1,2,4,6,8,9,10],[3,5,7]]=>[3,5,7,1,2,4,6,8,9,10]=>[1,3,2,5,4,7,6,8,9,10]=>[1,3,2,5,4,7,6,8,9,10] [[1,2,4,6,7,8,10],[3,5,9]]=>[3,5,9,1,2,4,6,7,8,10]=>[1,3,2,5,4,6,7,9,8,10]=>[1,3,2,5,4,6,7,9,8,10] [[1,2,4,6,7,8,9,10],[3,5]]=>[3,5,1,2,4,6,7,8,9,10]=>[1,3,2,5,4,6,7,8,9,10]=>[1,3,2,5,4,6,7,8,9,10] [[1,2,4,5,6,8,10],[3,7,9]]=>[3,7,9,1,2,4,5,6,8,10]=>[1,3,2,4,5,7,6,9,8,10]=>[1,3,2,4,5,7,6,9,8,10] [[1,2,4,5,6,7,8,10],[3,9]]=>[3,9,1,2,4,5,6,7,8,10]=>[1,3,2,4,5,6,7,9,8,10]=>[1,3,2,4,5,6,7,9,8,10] [[1,2,4,5,6,8,9,10],[3,7]]=>[3,7,1,2,4,5,6,8,9,10]=>[1,3,2,4,5,7,6,8,9,10]=>[1,3,2,4,5,7,6,8,9,10] [[1,2,3,4,6,8,10],[5,7,9]]=>[5,7,9,1,2,3,4,6,8,10]=>[1,2,3,5,4,7,6,9,8,10]=>[1,2,3,5,4,7,6,9,8,10] [[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10] [[1,2,3,4,5,6,8,10],[7,9]]=>[7,9,1,2,3,4,5,6,8,10]=>[1,2,3,4,5,7,6,9,8,10]=>[1,2,3,4,5,7,6,9,8,10] [[1,2,3,4,5,6,9,10],[7,8]]=>[7,8,1,2,3,4,5,6,9,10]=>[1,2,3,4,5,7,8,6,9,10]=>[1,2,3,4,5,8,7,6,9,10] [[1,2,3,4,6,7,8,10],[5,9]]=>[5,9,1,2,3,4,6,7,8,10]=>[1,2,3,5,4,6,7,9,8,10]=>[1,2,3,5,4,6,7,9,8,10] [[1,2,3,4,6,8,9,10],[5,7]]=>[5,7,1,2,3,4,6,8,9,10]=>[1,2,3,5,4,7,6,8,9,10]=>[1,2,3,5,4,7,6,8,9,10] [[1,2,3,4,6,7,8,9,10],[5]]=>[5,1,2,3,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10] [[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,8,7,9,10] [[1,2,3,4,5,6,8,9,10],[7]]=>[7,1,2,3,4,5,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10] [[1,2,3,4,5,7,8,9,10],[6]]=>[6,1,2,3,4,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10] [[1,2,4,6,8,10,12],[3,5,7,9,11]]=>[3,5,7,9,11,1,2,4,6,8,10,12]=>[1,3,2,5,4,7,6,9,8,11,10,12]=>[1,3,2,5,4,7,6,9,8,11,10,12] [[1,2,4,6,8,10,11,12],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10,11,12]=>[1,3,2,5,4,7,6,9,8,10,11,12]=>[1,3,2,5,4,7,6,9,8,10,11,12] [[1,2,4,6,8,9,10,12],[3,5,7,11]]=>[3,5,7,11,1,2,4,6,8,9,10,12]=>[1,3,2,5,4,7,6,8,9,11,10,12]=>[1,3,2,5,4,7,6,8,9,11,10,12] [[1,2,4,6,8,9,10,11,12],[3,5,7]]=>[3,5,7,1,2,4,6,8,9,10,11,12]=>[1,3,2,5,4,7,6,8,9,10,11,12]=>[1,3,2,5,4,7,6,8,9,10,11,12] [[1,2,4,6,7,8,10,12],[3,5,9,11]]=>[3,5,9,11,1,2,4,6,7,8,10,12]=>[1,3,2,5,4,6,7,9,8,11,10,12]=>[1,3,2,5,4,6,7,9,8,11,10,12] [[1,2,4,6,7,8,9,10,12],[3,5,11]]=>[3,5,11,1,2,4,6,7,8,9,10,12]=>[1,3,2,5,4,6,7,8,9,11,10,12]=>[1,3,2,5,4,6,7,8,9,11,10,12] [[1,2,4,6,7,8,10,11,12],[3,5,9]]=>[3,5,9,1,2,4,6,7,8,10,11,12]=>[1,3,2,5,4,6,7,9,8,10,11,12]=>[1,3,2,5,4,6,7,9,8,10,11,12] [[1,2,4,6,7,8,9,10,11,12],[3,5]]=>[3,5,1,2,4,6,7,8,9,10,11,12]=>[1,3,2,5,4,6,7,8,9,10,11,12]=>[1,3,2,5,4,6,7,8,9,10,11,12] [[1,2,4,5,6,8,10,12],[3,7,9,11]]=>[3,7,9,11,1,2,4,5,6,8,10,12]=>[1,3,2,4,5,7,6,9,8,11,10,12]=>[1,3,2,4,5,7,6,9,8,11,10,12] [[1,2,4,5,6,7,8,10,12],[3,9,11]]=>[3,9,11,1,2,4,5,6,7,8,10,12]=>[1,3,2,4,5,6,7,9,8,11,10,12]=>[1,3,2,4,5,6,7,9,8,11,10,12] [[1,2,4,5,6,8,9,10,12],[3,7,11]]=>[3,7,11,1,2,4,5,6,8,9,10,12]=>[1,3,2,4,5,7,6,8,9,11,10,12]=>[1,3,2,4,5,7,6,8,9,11,10,12] [[1,2,4,5,6,8,10,11,12],[3,7,9]]=>[3,7,9,1,2,4,5,6,8,10,11,12]=>[1,3,2,4,5,7,6,9,8,10,11,12]=>[1,3,2,4,5,7,6,9,8,10,11,12] [[1,2,4,5,6,8,9,10,11,12],[3,7]]=>[3,7,1,2,4,5,6,8,9,10,11,12]=>[1,3,2,4,5,7,6,8,9,10,11,12]=>[1,3,2,4,5,7,6,8,9,10,11,12] [[1,2,4,5,6,7,8,9,10,12],[3,11]]=>[3,11,1,2,4,5,6,7,8,9,10,12]=>[1,3,2,4,5,6,7,8,9,11,10,12]=>[1,3,2,4,5,6,7,8,9,11,10,12] [[1,2,4,5,6,7,8,10,11,12],[3,9]]=>[3,9,1,2,4,5,6,7,8,10,11,12]=>[1,3,2,4,5,6,7,9,8,10,11,12]=>[1,3,2,4,5,6,7,9,8,10,11,12] [[1,2,4,5,6,7,8,9,10,11,12],[3]]=>[3,1,2,4,5,6,7,8,9,10,11,12]=>[1,3,2,4,5,6,7,8,9,10,11,12]=>[1,3,2,4,5,6,7,8,9,10,11,12] [[1,2,3,4,6,8,10,12],[5,7,9,11]]=>[5,7,9,11,1,2,3,4,6,8,10,12]=>[1,2,3,5,4,7,6,9,8,11,10,12]=>[1,2,3,5,4,7,6,9,8,11,10,12] [[1,2,3,4,5,6,8,10,12],[7,9,11]]=>[7,9,11,1,2,3,4,5,6,8,10,12]=>[1,2,3,4,5,7,6,9,8,11,10,12]=>[1,2,3,4,5,7,6,9,8,11,10,12] [[1,2,3,4,6,7,8,10,12],[5,9,11]]=>[5,9,11,1,2,3,4,6,7,8,10,12]=>[1,2,3,5,4,6,7,9,8,11,10,12]=>[1,2,3,5,4,6,7,9,8,11,10,12] [[1,2,3,4,6,8,9,10,12],[5,7,11]]=>[5,7,11,1,2,3,4,6,8,9,10,12]=>[1,2,3,5,4,7,6,8,9,11,10,12]=>[1,2,3,5,4,7,6,8,9,11,10,12] [[1,2,3,4,6,8,10,11,12],[5,7,9]]=>[5,7,9,1,2,3,4,6,8,10,11,12]=>[1,2,3,5,4,7,6,9,8,10,11,12]=>[1,2,3,5,4,7,6,9,8,10,11,12] [[1,2,3,4,6,8,9,10,11,12],[5,7]]=>[5,7,1,2,3,4,6,8,9,10,11,12]=>[1,2,3,5,4,7,6,8,9,10,11,12]=>[1,2,3,5,4,7,6,8,9,10,11,12] [[1,2,3,4,6,7,8,9,10,12],[5,11]]=>[5,11,1,2,3,4,6,7,8,9,10,12]=>[1,2,3,5,4,6,7,8,9,11,10,12]=>[1,2,3,5,4,6,7,8,9,11,10,12] [[1,2,3,4,6,7,8,10,11,12],[5,9]]=>[5,9,1,2,3,4,6,7,8,10,11,12]=>[1,2,3,5,4,6,7,9,8,10,11,12]=>[1,2,3,5,4,6,7,9,8,10,11,12] [[1,2,3,4,6,7,8,9,10,11,12],[5]]=>[5,1,2,3,4,6,7,8,9,10,11,12]=>[1,2,3,5,4,6,7,8,9,10,11,12]=>[1,2,3,5,4,6,7,8,9,10,11,12] [[1,2,3,4,5,6,7,8,10,12],[9,11]]=>[9,11,1,2,3,4,5,6,7,8,10,12]=>[1,2,3,4,5,6,7,9,8,11,10,12]=>[1,2,3,4,5,6,7,9,8,11,10,12] [[1,2,3,4,5,6,8,9,10,12],[7,11]]=>[7,11,1,2,3,4,5,6,8,9,10,12]=>[1,2,3,4,5,7,6,8,9,11,10,12]=>[1,2,3,4,5,7,6,8,9,11,10,12] [[1,2,3,4,5,6,8,10,11,12],[7,9]]=>[7,9,1,2,3,4,5,6,8,10,11,12]=>[1,2,3,4,5,7,6,9,8,10,11,12]=>[1,2,3,4,5,7,6,9,8,10,11,12] [[1,2,3,4,5,6,7,8,9,10,12],[11]]=>[11,1,2,3,4,5,6,7,8,9,10,12]=>[1,2,3,4,5,6,7,8,9,11,10,12]=>[1,2,3,4,5,6,7,8,9,11,10,12] [[1,2,3,4,5,6,7,8,10,11,12],[9]]=>[9,1,2,3,4,5,6,7,8,10,11,12]=>[1,2,3,4,5,6,7,9,8,10,11,12]=>[1,2,3,4,5,6,7,9,8,10,11,12] [[1,2,3,4,5,6,8,9,10,11,12],[7]]=>[7,1,2,3,4,5,6,8,9,10,11,12]=>[1,2,3,4,5,7,6,8,9,10,11,12]=>[1,2,3,4,5,7,6,8,9,10,11,12] [[1,3,6,7,8],[2,5],[4,9]]=>[4,9,2,5,1,3,6,7,8]=>[2,4,1,5,3,6,9,7,8]=>[4,2,5,1,3,6,9,7,8] [[1,2,5,9],[3,4,8],[6,7],[10]]=>[10,6,7,3,4,8,1,2,5,9]=>[1,3,4,6,7,2,10,8,5,9]=>[1,7,3,4,8,6,2,10,5,9] [[1,2,3,6,7,8,9],[4,5]]=>[4,5,1,2,3,6,7,8,9]=>[1,2,4,5,3,6,7,8,9]=>[1,2,5,4,3,6,7,8,9] [[1,2,5,6,7,8,9],[3],[4]]=>[4,3,1,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9] [[1,2,4,7,8,9],[3,6],[5]]=>[5,3,6,1,2,4,7,8,9]=>[1,3,5,2,6,4,7,8,9]=>[1,5,3,6,2,4,7,8,9] [[1,2,3,8,9],[4,5],[6,7]]=>[6,7,4,5,1,2,3,8,9]=>[1,2,4,6,7,5,3,8,9]=>[1,2,5,4,7,6,3,8,9] [[1,2,8,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8,9]=>[1,7,6,5,4,3,2,8,9]=>[1,3,4,5,6,7,2,8,9] [[1,2,3,6,7,8,9,10],[4,5]]=>[4,5,1,2,3,6,7,8,9,10]=>[1,2,4,5,3,6,7,8,9,10]=>[1,2,5,4,3,6,7,8,9,10] [[1,2,3,8,9,10],[4,5],[6,7]]=>[6,7,4,5,1,2,3,8,9,10]=>[1,2,4,6,7,5,3,8,9,10]=>[1,2,5,4,7,6,3,8,9,10] [[1,2,4,7],[3,6,10],[5,9],[8]]=>[8,5,9,3,6,10,1,2,4,7]=>[1,3,5,2,8,6,9,4,10,7]=>[1,5,3,9,2,8,10,6,4,7] [[1,2,4,5,6,7,8,9],[3],[10]]=>[10,3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,10,8,9]=>[1,3,2,4,5,6,7,10,8,9] [[1,3,5,7,9,11,13,15,17],[2,4,6,8,10,12,14,16,18]]=>[2,4,6,8,10,12,14,16,18,1,3,5,7,9,11,13,15,17]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17] [[1,3,5,7,9,11,13,15,17,19],[2,4,6,8,10,12,14,16,18,20]]=>[2,4,6,8,10,12,14,16,18,20,1,3,5,7,9,11,13,15,17,19]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19]=>[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19] [[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,3,2,1,4]=>[3,10,9,8,7,6,5,2,1,4]=>[2,5,3,1,6,7,8,9,10,4] [[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]=>[10,9,7,6,5,4,3,2,1,8]=>[7,10,9,6,5,4,3,2,1,8]=>[2,3,4,5,6,9,7,1,10,8] [[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,5,4,2,1,3]=>[2,12,11,10,9,8,7,6,5,4,1,3]=>[4,2,1,5,6,7,8,9,10,11,12,3] [[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]]=>[12,10,9,8,7,6,5,4,3,2,1,11]=>[10,12,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,12,10,1,11] [[1,2,3,4,5,6,8],[7],[9]]=>[9,7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,9,6,8]=>[1,2,3,4,5,9,7,6,8] [[1,2,3,4,5,7,9],[6,8]]=>[6,8,1,2,3,4,5,7,9]=>[1,2,3,4,6,5,8,7,9]=>[1,2,3,4,6,5,8,7,9] [[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8] [[1,2,4,5,6,7,8,9],[3,10]]=>[3,10,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,10,9]=>[1,3,2,4,5,6,7,8,10,9] [[1,2,3,4,5,6],[7,9],[8]]=>[8,7,9,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,9,8,7,6] [[1,3,4,5,6,7,9],[2,8]]=>[2,8,1,3,4,5,6,7,9]=>[2,1,3,4,5,6,8,7,9]=>[2,1,3,4,5,6,8,7,9] [[1,2,4,5,6,7],[3,8,9]]=>[3,8,9,1,2,4,5,6,7]=>[1,3,2,4,5,6,8,9,7]=>[1,3,2,4,5,6,9,8,7] [[1,3,6,7],[2,5,10],[4,9],[8]]=>[8,4,9,2,5,10,1,3,6,7]=>[2,4,1,5,8,3,9,6,10,7]=>[4,2,8,1,5,9,10,3,6,7] [[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,9,8]=>[2,3,1,4,5,6,7,9,8]
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
Foata bijection
Description
Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
  • If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
  • If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
In either case, place a vertical line at the start of the word as well. Now, within each block between vertical lines, cyclically shift the entries one place to the right.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
  • $1$
  • $|1|4 \to 14$
  • $|14|2 \to 412$
  • $|4|1|2|5 \to 4125$
  • $|4|125|3 \to 45123.$
In total, this gives $\phi([1,4,2,5,3]) = [4,5,1,2,3]$.
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
  • the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
  • the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
  • the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
  • the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
  • the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.