Identifier
Mp00081: Standard tableaux reading word permutationPermutations
Mp00069: Permutations complementPermutations
Mp00237: Permutations descent views to invisible inversion bottomsPermutations
Images
=>
Cc0007;cc-rep-0
[[1]]=>[1]=>[1]=>[1] [[1,2]]=>[1,2]=>[2,1]=>[2,1] [[1],[2]]=>[2,1]=>[1,2]=>[1,2] [[1,2,3]]=>[1,2,3]=>[3,2,1]=>[2,3,1] [[1,3],[2]]=>[2,1,3]=>[2,3,1]=>[3,2,1] [[1,2],[3]]=>[3,1,2]=>[1,3,2]=>[1,3,2] [[1],[2],[3]]=>[3,2,1]=>[1,2,3]=>[1,2,3] [[1,2,3,4]]=>[1,2,3,4]=>[4,3,2,1]=>[2,3,4,1] [[1,3,4],[2]]=>[2,1,3,4]=>[3,4,2,1]=>[2,4,3,1] [[1,2,4],[3]]=>[3,1,2,4]=>[2,4,3,1]=>[3,2,4,1] [[1,2,3],[4]]=>[4,1,2,3]=>[1,4,3,2]=>[1,3,4,2] [[1,3],[2,4]]=>[2,4,1,3]=>[3,1,4,2]=>[3,4,1,2] [[1,2],[3,4]]=>[3,4,1,2]=>[2,1,4,3]=>[2,1,4,3] [[1,4],[2],[3]]=>[3,2,1,4]=>[2,3,4,1]=>[4,2,3,1] [[1,3],[2],[4]]=>[4,2,1,3]=>[1,3,4,2]=>[1,4,3,2] [[1,2],[3],[4]]=>[4,3,1,2]=>[1,2,4,3]=>[1,2,4,3] [[1],[2],[3],[4]]=>[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4] [[1,2,3,4,5]]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1] [[1,3,4,5],[2]]=>[2,1,3,4,5]=>[4,5,3,2,1]=>[2,3,5,4,1] [[1,2,4,5],[3]]=>[3,1,2,4,5]=>[3,5,4,2,1]=>[2,4,3,5,1] [[1,2,3,5],[4]]=>[4,1,2,3,5]=>[2,5,4,3,1]=>[3,2,4,5,1] [[1,2,3,4],[5]]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[1,3,4,5,2] [[1,3,5],[2,4]]=>[2,4,1,3,5]=>[4,2,5,3,1]=>[3,5,4,1,2] [[1,2,5],[3,4]]=>[3,4,1,2,5]=>[3,2,5,4,1]=>[4,3,2,5,1] [[1,3,4],[2,5]]=>[2,5,1,3,4]=>[4,1,5,3,2]=>[4,3,5,1,2] [[1,2,4],[3,5]]=>[3,5,1,2,4]=>[3,1,5,4,2]=>[3,4,1,5,2] [[1,2,3],[4,5]]=>[4,5,1,2,3]=>[2,1,5,4,3]=>[2,1,4,5,3] [[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[2,5,3,4,1] [[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[2,4,5,3,1]=>[3,2,5,4,1] [[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[2,3,5,4,1]=>[4,2,3,5,1] [[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[1,4,5,3,2]=>[1,3,5,4,2] [[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[1,3,5,4,2]=>[1,4,3,5,2] [[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]=>[3,4,1,5,2]=>[4,5,3,1,2] [[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]=>[2,3,1,5,4]=>[3,2,1,5,4] [[1,3],[2,4],[5]]=>[5,2,4,1,3]=>[1,4,2,5,3]=>[1,4,5,2,3] [[1,2],[3,4],[5]]=>[5,3,4,1,2]=>[1,3,2,5,4]=>[1,3,2,5,4] [[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[5,2,3,4,1] [[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>[1,3,4,5,2]=>[1,5,3,4,2] [[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>[1,2,4,5,3]=>[1,2,5,4,3] [[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>[1,2,3,5,4]=>[1,2,3,5,4] [[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5] [[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1] [[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1] [[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1] [[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1] [[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1] [[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2] [[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[5,3,6,4,2,1]=>[2,4,6,5,1,3] [[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1] [[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[5,2,6,4,3,1]=>[3,4,6,5,2,1] [[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[4,2,6,5,3,1]=>[3,5,4,1,6,2] [[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1] [[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>[5,1,6,4,3,2]=>[5,3,4,6,1,2] [[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[4,1,6,5,3,2]=>[4,3,5,1,6,2] [[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[3,1,6,5,4,2]=>[3,4,1,5,6,2] [[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[2,1,6,5,4,3]=>[2,1,4,5,6,3] [[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1] [[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>[2,4,3,6,5,1] [[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>[2,5,3,4,6,1] [[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>[3,2,4,6,5,1] [[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>[3,2,5,4,6,1] [[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>[4,2,3,5,6,1] [[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2] [[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2] [[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2] [[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3] [[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[3,5,4,6,2,1] [[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[4,3,1,6,5,2]=>[3,4,5,2,6,1] [[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[5,2,1,6,4,3]=>[2,5,4,6,1,3] [[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[2,4,5,1,6,3] [[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4] [[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[4,5,2,6,3,1]=>[3,6,5,4,1,2] [[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[4,6,3,5,1,2] [[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1] [[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[2,5,3,6,4,1]=>[4,2,6,5,1,3] [[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[2,4,3,6,5,1]=>[5,2,4,3,6,1] [[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[4,5,1,6,3,2]=>[5,3,6,4,1,2] [[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[3,5,1,6,4,2]=>[5,4,3,6,1,2] [[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[3,4,1,6,5,2]=>[4,5,3,1,6,2] [[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[2,5,1,6,4,3]=>[5,2,4,6,1,3] [[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[2,4,1,6,5,3]=>[4,2,5,1,6,3] [[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[2,3,1,6,5,4]=>[3,2,1,5,6,4] [[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[1,5,3,6,4,2]=>[1,4,6,5,2,3] [[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2] [[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[1,5,2,6,4,3]=>[1,5,4,6,2,3] [[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[1,4,2,6,5,3]=>[1,4,5,2,6,3] [[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4] [[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[2,6,3,4,5,1] [[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>[3,2,6,4,5,1] [[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>[4,2,3,6,5,1] [[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>[5,2,3,4,6,1] [[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2] [[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2] [[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2] [[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3] [[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3] [[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4] [[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[4,5,6,1,2,3] [[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[3,5,1,6,2,4] [[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[3,1,4,2,6,5]=>[3,4,1,2,6,5] [[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[2,1,5,3,6,4]=>[2,1,5,6,3,4] [[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>[5,6,3,4,1,2] [[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[5,2,6,4,1,3] [[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[2,3,5,1,6,4]=>[5,2,3,6,1,4] [[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5] [[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3] [[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4] [[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5] [[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4] [[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1] [[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2] [[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3] [[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4] [[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1] [[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1] [[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[2,3,4,6,5,7,1] [[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1] [[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[2,4,3,5,6,7,1] [[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1] [[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2] [[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>[6,4,7,5,3,2,1]=>[2,3,5,7,6,1,4] [[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>[2,3,6,5,4,7,1] [[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>[6,3,7,5,4,2,1]=>[2,4,5,7,6,3,1] [[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>[5,3,7,6,4,2,1]=>[2,4,6,5,1,7,3] [[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>[4,3,7,6,5,2,1]=>[2,5,4,3,6,7,1] [[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>[6,2,7,5,4,3,1]=>[3,4,5,7,6,1,2] [[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>[5,2,7,6,4,3,1]=>[3,4,6,5,2,7,1] [[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>[4,2,7,6,5,3,1]=>[3,5,4,1,6,7,2] [[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>[3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1] [[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>[6,1,7,5,4,3,2]=>[6,3,4,5,7,1,2] [[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>[5,1,7,6,4,3,2]=>[5,3,4,6,1,7,2] [[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>[4,1,7,6,5,3,2]=>[4,3,5,1,6,7,2] [[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>[3,1,7,6,5,4,2]=>[3,4,1,5,6,7,2] [[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>[2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3] [[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1] [[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[2,3,5,4,7,6,1] [[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>[2,3,6,4,5,7,1] [[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>[2,4,3,5,7,6,1] [[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>[2,4,3,6,5,7,1] [[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>[2,5,3,4,6,7,1] [[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[3,2,4,5,7,6,1] [[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[3,2,4,6,5,7,1] [[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[3,2,5,4,6,7,1] [[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[4,2,3,5,6,7,1] [[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>[1,3,4,5,7,6,2] [[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[1,3,4,6,5,7,2] [[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>[1,3,5,4,6,7,2] [[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>[1,4,3,5,6,7,2] [[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3] [[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[3,5,4,7,6,2,1] [[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>[5,4,2,7,6,3,1]=>[3,6,4,5,1,7,2] [[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>[6,3,2,7,5,4,1]=>[4,3,5,7,6,2,1] [[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>[5,3,2,7,6,4,1]=>[4,3,6,5,1,7,2] [[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>[5,3,4,2,6,7,1] [[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>[6,4,1,7,5,3,2]=>[4,3,6,5,7,2,1] [[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>[5,4,1,7,6,3,2]=>[4,3,5,6,2,7,1] [[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>[6,3,1,7,5,4,2]=>[3,6,4,5,7,2,1] [[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[3,5,4,6,2,7,1] [[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>[4,3,1,7,6,5,2]=>[3,4,5,2,6,7,1] [[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>[6,2,1,7,5,4,3]=>[2,6,4,5,7,1,3] [[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>[5,2,1,7,6,4,3]=>[2,5,4,6,1,7,3] [[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>[4,2,1,7,6,5,3]=>[2,4,5,1,6,7,3] [[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4] [[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[5,6,3,7,4,2,1]=>[2,4,7,6,5,1,3] [[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[2,5,7,4,6,1,3] [[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>[4,5,3,7,6,2,1]=>[2,6,5,4,3,7,1] [[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>[3,6,4,7,5,2,1]=>[2,5,3,7,6,1,4] [[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>[3,5,4,7,6,2,1]=>[2,6,3,5,4,7,1] [[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>[5,6,2,7,4,3,1]=>[3,4,7,6,5,2,1] [[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>[4,6,2,7,5,3,1]=>[3,5,7,4,6,2,1] [[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>[4,5,2,7,6,3,1]=>[3,6,5,4,1,7,2] [[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>[3,6,2,7,5,4,1]=>[4,5,3,7,6,2,1] [[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>[3,5,2,7,6,4,1]=>[4,6,3,5,1,7,2] [[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>[3,4,2,7,6,5,1]=>[5,4,3,2,6,7,1] [[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>[2,6,4,7,5,3,1]=>[3,2,5,7,6,1,4] [[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>[2,5,4,7,6,3,1]=>[3,2,6,5,4,7,1] [[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>[2,6,3,7,5,4,1]=>[4,2,5,7,6,3,1] [[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>[2,5,3,7,6,4,1]=>[4,2,6,5,1,7,3] [[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>[2,4,3,7,6,5,1]=>[5,2,4,3,6,7,1] [[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>[5,6,1,7,4,3,2]=>[6,3,4,7,5,1,2] [[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>[4,6,1,7,5,3,2]=>[6,3,5,4,7,1,2] [[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>[4,5,1,7,6,3,2]=>[5,3,6,4,1,7,2] [[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>[3,6,1,7,5,4,2]=>[6,4,3,5,7,1,2] [[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>[3,5,1,7,6,4,2]=>[5,4,3,6,1,7,2] [[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>[3,4,1,7,6,5,2]=>[4,5,3,1,6,7,2] [[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>[2,6,1,7,5,4,3]=>[6,2,4,5,7,1,3] [[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>[2,5,1,7,6,4,3]=>[5,2,4,6,1,7,3] [[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>[2,4,1,7,6,5,3]=>[4,2,5,1,6,7,3] [[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>[2,3,1,7,6,5,4]=>[3,2,1,5,6,7,4] [[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>[1,6,4,7,5,3,2]=>[1,3,5,7,6,2,4] [[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>[1,5,4,7,6,3,2]=>[1,3,6,5,4,7,2] [[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>[1,6,3,7,5,4,2]=>[1,4,5,7,6,3,2] [[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>[1,5,3,7,6,4,2]=>[1,4,6,5,2,7,3] [[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>[1,4,3,7,6,5,2]=>[1,5,4,3,6,7,2] [[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>[1,6,2,7,5,4,3]=>[1,6,4,5,7,2,3] [[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>[1,5,2,7,6,4,3]=>[1,5,4,6,2,7,3] [[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>[1,4,2,7,6,5,3]=>[1,4,5,2,6,7,3] [[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4] [[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1] [[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>[2,4,3,7,5,6,1] [[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>[2,5,3,4,7,6,1] [[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>[2,6,3,4,5,7,1] [[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[3,2,4,7,5,6,1] [[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[3,2,5,4,7,6,1] [[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[3,2,6,4,5,7,1] [[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[4,2,3,5,7,6,1] [[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>[4,2,3,6,5,7,1] [[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>[5,2,3,4,6,7,1] [[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>[1,3,4,7,5,6,2] [[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>[1,3,5,4,7,6,2] [[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>[1,3,6,4,5,7,2] [[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>[1,4,3,5,7,6,2] [[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2] [[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>[1,5,3,4,6,7,2] [[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3] [[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3] [[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3] [[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]=>[5,6,3,1,7,4,2]=>[3,6,4,7,5,2,1] [[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[4,6,3,1,7,5,2]=>[3,6,5,4,7,2,1] [[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>[4,5,3,1,7,6,2]=>[3,5,6,4,2,7,1] [[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[4,6,3,5,7,2,1] [[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>[3,5,4,1,7,6,2]=>[4,5,3,6,2,7,1] [[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>[5,6,2,1,7,4,3]=>[2,6,4,7,5,1,3] [[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>[4,6,2,1,7,5,3]=>[2,6,5,4,7,1,3] [[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>[4,5,2,1,7,6,3]=>[2,5,6,4,1,7,3] [[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[2,6,3,5,7,1,4] [[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>[3,5,2,1,7,6,4]=>[2,5,3,6,1,7,4] [[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>[3,4,2,1,7,6,5]=>[2,4,3,1,6,7,5] [[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>[2,6,4,1,7,5,3]=>[4,2,6,5,7,3,1] [[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>[2,5,4,1,7,6,3]=>[4,2,5,6,3,7,1] [[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>[2,6,3,1,7,5,4]=>[3,2,6,5,7,1,4] [[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>[2,5,3,1,7,6,4]=>[3,2,5,6,1,7,4] [[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>[2,4,3,1,7,6,5]=>[3,2,4,1,6,7,5] [[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>[1,4,6,5,7,3,2] [[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>[1,5,4,2,7,6,3]=>[1,4,5,6,3,7,2] [[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>[1,6,3,2,7,5,4]=>[1,3,6,5,7,2,4] [[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>[1,5,3,2,7,6,4]=>[1,3,5,6,2,7,4] [[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5] [[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[4,7,5,6,3,1,2] [[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[4,2,6,3,7,5,1]=>[5,4,7,2,6,1,3] [[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>[4,2,5,3,7,6,1]=>[6,4,5,2,3,7,1] [[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>[3,2,6,4,7,5,1]=>[5,3,2,7,6,1,4] [[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[6,3,2,5,4,7,1] [[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[5,1,6,3,7,4,2]=>[5,4,7,6,1,2,3] [[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[4,1,6,3,7,5,2]=>[4,5,7,1,6,2,3] [[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>[4,1,5,3,7,6,2]=>[4,6,5,1,3,7,2] [[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>[3,5,1,7,6,2,4] [[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>[3,1,5,4,7,6,2]=>[3,6,1,5,4,7,2] [[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>[5,1,6,2,7,4,3]=>[5,6,4,7,1,2,3] [[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>[4,1,6,2,7,5,3]=>[4,6,5,1,7,2,3] [[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>[4,5,6,1,2,7,3] [[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>[3,1,6,2,7,5,4]=>[3,6,1,5,7,2,4] [[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>[3,1,5,2,7,6,4]=>[3,5,1,6,2,7,4] [[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>[3,1,4,2,7,6,5]=>[3,4,1,2,6,7,5] [[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>[2,1,6,4,7,5,3]=>[2,1,5,7,6,3,4] [[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>[2,1,5,4,7,6,3]=>[2,1,6,5,4,7,3] [[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>[2,1,6,3,7,5,4]=>[2,1,6,5,7,3,4] [[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>[2,1,5,3,7,6,4]=>[2,1,5,6,3,7,4] [[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5] [[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>[3,7,6,4,5,1,2] [[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[4,7,3,6,5,1,2] [[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[3,4,6,2,7,5,1]=>[5,7,3,4,6,1,2] [[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>[3,4,5,2,7,6,1]=>[6,5,3,4,2,7,1] [[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>[4,2,7,6,5,1,3] [[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[2,4,6,3,7,5,1]=>[5,2,7,4,6,1,3] [[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>[2,4,5,3,7,6,1]=>[6,2,5,4,3,7,1] [[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>[2,3,6,4,7,5,1]=>[5,2,3,7,6,1,4] [[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>[2,3,5,4,7,6,1]=>[6,2,3,5,4,7,1] [[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[4,5,6,1,7,3,2]=>[6,3,7,4,5,1,2] [[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[3,5,6,1,7,4,2]=>[6,4,3,7,5,1,2] [[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>[3,4,6,1,7,5,2]=>[6,5,3,4,7,1,2] [[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>[5,6,3,4,1,7,2] [[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[2,5,6,1,7,4,3]=>[6,2,4,7,5,1,3] [[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>[2,4,6,1,7,5,3]=>[6,2,5,4,7,1,3] [[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>[2,4,5,1,7,6,3]=>[5,2,6,4,1,7,3] [[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>[2,3,6,1,7,5,4]=>[6,2,3,5,7,1,4] [[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>[2,3,5,1,7,6,4]=>[5,2,3,6,1,7,4] [[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>[2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5] [[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>[1,4,7,6,5,2,3] [[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[1,4,6,3,7,5,2]=>[1,5,7,4,6,2,3] [[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>[1,4,5,3,7,6,2]=>[1,6,5,4,3,7,2] [[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>[1,5,3,7,6,2,4] [[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>[1,3,5,4,7,6,2]=>[1,6,3,5,4,7,2] [[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>[1,5,6,2,7,4,3]=>[1,6,4,7,5,2,3] [[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>[1,4,6,2,7,5,3]=>[1,6,5,4,7,2,3] [[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>[1,4,5,2,7,6,3]=>[1,5,6,4,2,7,3] [[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>[1,3,6,2,7,5,4]=>[1,6,3,5,7,2,4] [[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>[1,5,3,6,2,7,4] [[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5] [[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>[1,2,5,7,6,3,4] [[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>[1,2,5,4,7,6,3]=>[1,2,6,5,4,7,3] [[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>[1,2,6,3,7,5,4]=>[1,2,6,5,7,3,4] [[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>[1,2,5,3,7,6,4]=>[1,2,5,6,3,7,4] [[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5] [[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[2,7,3,4,5,6,1] [[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[3,2,7,4,5,6,1] [[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>[4,2,3,7,5,6,1] [[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>[5,2,3,4,7,6,1] [[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>[6,2,3,4,5,7,1] [[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>[1,3,7,4,5,6,2] [[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>[1,4,3,7,5,6,2] [[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>[1,5,3,4,7,6,2] [[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>[1,6,3,4,5,7,2] [[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3] [[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3] [[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3] [[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4] [[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4] [[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5] [[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[5,6,7,4,1,2,3] [[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[3,5,1,6,2,7,4]=>[5,6,3,7,1,2,4] [[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[3,4,1,6,2,7,5]=>[4,6,3,1,7,2,5] [[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>[3,4,1,5,2,7,6]=>[4,5,3,1,2,7,6] [[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[2,5,1,6,3,7,4]=>[5,2,6,7,1,3,4] [[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[4,2,6,1,7,3,5] [[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>[2,4,1,5,3,7,6]=>[4,2,5,1,3,7,6] [[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>[2,3,1,6,4,7,5]=>[3,2,1,6,7,4,5] [[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6] [[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4] [[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5] [[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6] [[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5] [[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[6,7,3,4,5,1,2] [[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[6,2,7,4,5,1,3] [[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]=>[6,2,3,7,5,1,4] [[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5] [[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6] [[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3] [[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4] [[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5] [[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6] [[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4] [[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5] [[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6] [[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5] [[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1] [[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2] [[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3] [[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4] [[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5] [[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [[1],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7] [[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1] [[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,1] [[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>[6,8,7,5,4,3,2,1]=>[2,3,4,5,7,6,8,1] [[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,1] [[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>[2,3,5,4,6,7,8,1] [[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>[3,8,7,6,5,4,2,1]=>[2,4,3,5,6,7,8,1] [[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>[2,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,1] [[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,2] [[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>[7,5,8,6,4,3,2,1]=>[2,3,4,6,8,7,1,5] [[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>[6,5,8,7,4,3,2,1]=>[2,3,4,7,6,5,8,1] [[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>[7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,4,1] [[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>[6,4,8,7,5,3,2,1]=>[2,3,5,7,6,1,8,4] [[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>[7,3,8,6,5,4,2,1]=>[2,4,5,6,8,7,1,3] [[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>[6,3,8,7,5,4,2,1]=>[2,4,5,7,6,3,8,1] [[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>[5,3,8,7,6,4,2,1]=>[2,4,6,5,1,7,8,3] [[1,2,3,4,7,8],[5,6]]=>[5,6,1,2,3,4,7,8]=>[4,3,8,7,6,5,2,1]=>[2,5,4,3,6,7,8,1] [[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>[7,2,8,6,5,4,3,1]=>[3,4,5,6,8,7,2,1] [[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>[6,2,8,7,5,4,3,1]=>[3,4,5,7,6,1,8,2] [[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>[5,2,8,7,6,4,3,1]=>[3,4,6,5,2,7,8,1] [[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>[4,2,8,7,6,5,3,1]=>[3,5,4,1,6,7,8,2] [[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>[3,2,8,7,6,5,4,1]=>[4,3,2,5,6,7,8,1] [[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>[7,1,8,6,5,4,3,2]=>[7,3,4,5,6,8,1,2] [[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>[6,1,8,7,5,4,3,2]=>[6,3,4,5,7,1,8,2] [[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>[5,1,8,7,6,4,3,2]=>[5,3,4,6,1,7,8,2] [[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>[4,1,8,7,6,5,3,2]=>[4,3,5,1,6,7,8,2] [[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>[3,1,8,7,6,5,4,2]=>[3,4,1,5,6,7,8,2] [[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,3] [[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[2,3,4,5,8,6,7,1] [[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>[5,7,8,6,4,3,2,1]=>[2,3,4,6,5,8,7,1] [[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>[5,6,8,7,4,3,2,1]=>[2,3,4,7,5,6,8,1] [[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>[4,7,8,6,5,3,2,1]=>[2,3,5,4,6,8,7,1] [[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>[4,6,8,7,5,3,2,1]=>[2,3,5,4,7,6,8,1] [[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>[4,5,8,7,6,3,2,1]=>[2,3,6,4,5,7,8,1] [[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>[3,7,8,6,5,4,2,1]=>[2,4,3,5,6,8,7,1] [[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>[3,6,8,7,5,4,2,1]=>[2,4,3,5,7,6,8,1] [[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>[3,5,8,7,6,4,2,1]=>[2,4,3,6,5,7,8,1] [[1,2,3,4,7,8],[5],[6]]=>[6,5,1,2,3,4,7,8]=>[3,4,8,7,6,5,2,1]=>[2,5,3,4,6,7,8,1] [[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>[2,7,8,6,5,4,3,1]=>[3,2,4,5,6,8,7,1] [[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>[2,6,8,7,5,4,3,1]=>[3,2,4,5,7,6,8,1] [[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>[2,5,8,7,6,4,3,1]=>[3,2,4,6,5,7,8,1] [[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>[2,4,8,7,6,5,3,1]=>[3,2,5,4,6,7,8,1] [[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>[2,3,8,7,6,5,4,1]=>[4,2,3,5,6,7,8,1] [[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>[1,7,8,6,5,4,3,2]=>[1,3,4,5,6,8,7,2] [[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>[1,6,8,7,5,4,3,2]=>[1,3,4,5,7,6,8,2] [[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>[1,5,8,7,6,4,3,2]=>[1,3,4,6,5,7,8,2] [[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>[1,4,8,7,6,5,3,2]=>[1,3,5,4,6,7,8,2] [[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>[1,3,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,2] [[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>[1,2,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,3] [[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>[7,5,3,8,6,4,2,1]=>[2,4,6,5,8,7,3,1] [[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>[5,4,3,8,7,6,2,1]=>[2,6,4,5,3,7,8,1] [[1,3,5,6,8],[2,4,7]]=>[2,4,7,1,3,5,6,8]=>[7,5,2,8,6,4,3,1]=>[3,4,6,5,8,7,1,2] [[1,2,5,6,8],[3,4,7]]=>[3,4,7,1,2,5,6,8]=>[6,5,2,8,7,4,3,1]=>[3,4,7,5,6,2,8,1] [[1,3,4,6,8],[2,5,7]]=>[2,5,7,1,3,4,6,8]=>[7,4,2,8,6,5,3,1]=>[3,5,4,6,8,7,1,2] [[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>[6,4,2,8,7,5,3,1]=>[3,5,4,7,6,2,8,1] [[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>[7,3,2,8,6,5,4,1]=>[4,3,5,6,8,7,1,2] [[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>[6,3,2,8,7,5,4,1]=>[4,3,5,7,6,2,8,1] [[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>[5,3,2,8,7,6,4,1]=>[4,3,6,5,1,7,8,2] [[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>[4,3,2,8,7,6,5,1]=>[5,3,4,2,6,7,8,1] [[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>[7,5,1,8,6,4,3,2]=>[5,3,4,7,6,8,2,1] [[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>[6,5,1,8,7,4,3,2]=>[5,3,4,6,7,2,8,1] [[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>[7,4,1,8,6,5,3,2]=>[4,3,7,5,6,8,2,1] [[1,2,4,6,7],[3,5,8]]=>[3,5,8,1,2,4,6,7]=>[6,4,1,8,7,5,3,2]=>[4,3,6,5,7,2,8,1] [[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>[5,4,1,8,7,6,3,2]=>[4,3,5,6,2,7,8,1] [[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>[7,3,1,8,6,5,4,2]=>[3,7,4,5,6,8,2,1] [[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>[6,3,1,8,7,5,4,2]=>[3,6,4,5,7,2,8,1] [[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>[5,3,1,8,7,6,4,2]=>[3,5,4,6,2,7,8,1] [[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>[4,3,1,8,7,6,5,2]=>[3,4,5,2,6,7,8,1] [[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>[7,2,1,8,6,5,4,3]=>[2,7,4,5,6,8,1,3] [[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>[6,2,1,8,7,5,4,3]=>[2,6,4,5,7,1,8,3] [[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>[5,2,1,8,7,6,4,3]=>[2,5,4,6,1,7,8,3] [[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>[4,2,1,8,7,6,5,3]=>[2,4,5,1,6,7,8,3] [[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>[3,2,1,8,7,6,5,4]=>[2,3,1,5,6,7,8,4] [[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>[6,7,4,8,5,3,2,1]=>[2,3,5,8,7,6,1,4] [[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>[5,7,4,8,6,3,2,1]=>[2,3,6,8,5,7,1,4] [[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>[4,7,5,8,6,3,2,1]=>[2,3,6,4,8,7,1,5] [[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>[4,6,5,8,7,3,2,1]=>[2,3,7,4,6,5,8,1] [[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>[6,7,3,8,5,4,2,1]=>[2,4,5,8,7,6,3,1] [[1,3,4,7,8],[2,6],[5]]=>[5,2,6,1,3,4,7,8]=>[4,7,3,8,6,5,2,1]=>[2,5,6,4,8,7,3,1] [[1,2,4,7,8],[3,6],[5]]=>[5,3,6,1,2,4,7,8]=>[4,6,3,8,7,5,2,1]=>[2,5,7,4,6,1,8,3] [[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>[3,6,4,8,7,5,2,1]=>[2,5,3,7,6,1,8,4] [[1,3,5,6,8],[2,7],[4]]=>[4,2,7,1,3,5,6,8]=>[5,7,2,8,6,4,3,1]=>[3,4,6,8,5,7,1,2] [[1,2,5,6,8],[3,7],[4]]=>[4,3,7,1,2,5,6,8]=>[5,6,2,8,7,4,3,1]=>[3,4,7,6,5,2,8,1] [[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>[4,6,2,8,7,5,3,1]=>[3,5,7,4,6,2,8,1] [[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>[3,7,2,8,6,5,4,1]=>[4,5,3,6,8,7,1,2] [[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>[3,6,2,8,7,5,4,1]=>[4,5,3,7,6,2,8,1] [[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>[3,5,2,8,7,6,4,1]=>[4,6,3,5,1,7,8,2] [[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>[3,4,2,8,7,6,5,1]=>[5,4,3,2,6,7,8,1] [[1,3,4,6,8],[2,5],[7]]=>[7,2,5,1,3,4,6,8]=>[2,7,4,8,6,5,3,1]=>[3,2,5,6,8,7,4,1] [[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>[2,6,4,8,7,5,3,1]=>[3,2,5,7,6,1,8,4] [[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>[2,5,4,8,7,6,3,1]=>[3,2,6,5,4,7,8,1] [[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>[2,6,3,8,7,5,4,1]=>[4,2,5,7,6,3,8,1] [[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>[2,4,3,8,7,6,5,1]=>[5,2,4,3,6,7,8,1] [[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>[6,7,1,8,5,4,3,2]=>[7,3,4,5,8,6,1,2] [[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>[4,7,1,8,6,5,3,2]=>[7,3,5,4,6,8,1,2] [[1,2,4,6,7],[3,8],[5]]=>[5,3,8,1,2,4,6,7]=>[4,6,1,8,7,5,3,2]=>[6,3,5,4,7,1,8,2] [[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>[4,5,1,8,7,6,3,2]=>[5,3,6,4,1,7,8,2] [[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>[3,7,1,8,6,5,4,2]=>[7,4,3,5,6,8,1,2] [[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>[3,6,1,8,7,5,4,2]=>[6,4,3,5,7,1,8,2] [[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>[3,4,1,8,7,6,5,2]=>[4,5,3,1,6,7,8,2] [[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>[2,7,1,8,6,5,4,3]=>[7,2,4,5,6,8,1,3] [[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>[2,4,1,8,7,6,5,3]=>[4,2,5,1,6,7,8,3] [[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>[2,3,1,8,7,6,5,4]=>[3,2,1,5,6,7,8,4] [[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>[1,7,5,8,6,4,3,2]=>[1,3,4,6,8,7,2,5] [[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>[1,6,5,8,7,4,3,2]=>[1,3,4,7,6,5,8,2] [[1,3,4,6,7],[2,5],[8]]=>[8,2,5,1,3,4,6,7]=>[1,7,4,8,6,5,3,2]=>[1,3,5,6,8,7,4,2] [[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>[1,6,4,8,7,5,3,2]=>[1,3,5,7,6,2,8,4] [[1,2,3,5,7],[4,6],[8]]=>[8,4,6,1,2,3,5,7]=>[1,5,3,8,7,6,4,2]=>[1,4,6,5,2,7,8,3] [[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>[1,4,3,8,7,6,5,2]=>[1,5,4,3,6,7,8,2] [[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>[1,6,2,8,7,5,4,3]=>[1,6,4,5,7,2,8,3] [[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>[1,5,2,8,7,6,4,3]=>[1,5,4,6,2,7,8,3] [[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>[1,4,2,8,7,6,5,3]=>[1,4,5,2,6,7,8,3] [[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>[1,3,2,8,7,6,5,4]=>[1,3,2,5,6,7,8,4] [[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[2,3,4,8,5,6,7,1] [[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>[4,6,7,8,5,3,2,1]=>[2,3,5,4,8,6,7,1] [[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>[4,5,7,8,6,3,2,1]=>[2,3,6,4,5,8,7,1] [[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>[4,5,6,8,7,3,2,1]=>[2,3,7,4,5,6,8,1] [[1,3,5,7,8],[2],[4],[6]]=>[6,4,2,1,3,5,7,8]=>[3,5,7,8,6,4,2,1]=>[2,4,3,6,5,8,7,1] [[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>[3,5,6,8,7,4,2,1]=>[2,4,3,7,5,6,8,1] [[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>[3,4,5,8,7,6,2,1]=>[2,6,3,4,5,7,8,1] [[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>[2,6,7,8,5,4,3,1]=>[3,2,4,5,8,6,7,1] [[1,3,4,6,8],[2],[5],[7]]=>[7,5,2,1,3,4,6,8]=>[2,4,7,8,6,5,3,1]=>[3,2,5,4,6,8,7,1] [[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>[2,4,6,8,7,5,3,1]=>[3,2,5,4,7,6,8,1] [[1,2,3,5,8],[4],[6],[7]]=>[7,6,4,1,2,3,5,8]=>[2,3,5,8,7,6,4,1]=>[4,2,3,6,5,7,8,1] [[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>[2,3,4,8,7,6,5,1]=>[5,2,3,4,6,7,8,1] [[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>[1,6,7,8,5,4,3,2]=>[1,3,4,5,8,6,7,2] [[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>[1,4,7,8,6,5,3,2]=>[1,3,5,4,6,8,7,2] [[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>[1,4,6,8,7,5,3,2]=>[1,3,5,4,7,6,8,2] [[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>[1,4,5,8,7,6,3,2]=>[1,3,6,4,5,7,8,2] [[1,3,4,5,7],[2],[6],[8]]=>[8,6,2,1,3,4,5,7]=>[1,3,7,8,6,5,4,2]=>[1,4,3,5,6,8,7,2] [[1,2,4,5,7],[3],[6],[8]]=>[8,6,3,1,2,4,5,7]=>[1,3,6,8,7,5,4,2]=>[1,4,3,5,7,6,8,2] [[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>[1,3,5,8,7,6,4,2]=>[1,4,3,6,5,7,8,2] [[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>[1,3,4,8,7,6,5,2]=>[1,5,3,4,6,7,8,2] [[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>[1,2,7,8,6,5,4,3]=>[1,2,4,5,6,8,7,3] [[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>[1,2,5,8,7,6,4,3]=>[1,2,4,6,5,7,8,3] [[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>[1,2,4,8,7,6,5,3]=>[1,2,5,4,6,7,8,3] [[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4] [[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[3,5,4,7,6,8,1,2] [[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>[6,5,3,1,8,7,4,2]=>[3,5,4,6,7,1,8,2] [[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[3,4,7,5,6,8,1,2] [[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>[6,4,3,1,8,7,5,2]=>[3,4,6,5,7,1,8,2] [[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>[5,4,3,1,8,7,6,2]=>[3,4,5,6,1,7,8,2] [[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>[7,5,2,1,8,6,4,3]=>[2,5,4,7,6,8,3,1] [[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[2,5,4,6,7,3,8,1] [[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>[7,4,2,1,8,6,5,3]=>[2,4,7,5,6,8,3,1] [[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[2,4,6,5,7,3,8,1] [[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>[5,4,2,1,8,7,6,3]=>[2,4,5,6,3,7,8,1] [[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>[7,3,2,1,8,6,5,4]=>[2,3,7,5,6,8,1,4] [[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>[6,3,2,1,8,7,5,4]=>[2,3,6,5,7,1,8,4] [[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]=>[2,3,5,6,1,7,8,4] [[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[2,3,4,1,6,7,8,5] [[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>[6,7,4,2,8,5,3,1]=>[3,5,4,8,7,6,2,1] [[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>[4,7,5,2,8,6,3,1]=>[3,6,5,4,8,7,2,1] [[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>[4,6,5,2,8,7,3,1]=>[3,7,5,4,6,1,8,2] [[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>[5,7,3,2,8,6,4,1]=>[4,3,6,8,5,7,2,1] [[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>[5,3,6,4,8,7,2,1] [[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>[4,6,3,2,8,7,5,1]=>[5,3,7,4,6,1,8,2] [[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>[4,5,3,2,8,7,6,1]=>[6,3,5,4,2,7,8,1] [[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>[3,7,4,2,8,6,5,1]=>[5,4,3,6,8,7,2,1] [[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>[3,6,4,2,8,7,5,1]=>[5,4,3,7,6,1,8,2] [[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>[2,7,5,3,8,6,4,1]=>[4,2,6,5,8,7,3,1] [[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>[2,6,4,3,8,7,5,1]=>[5,2,4,7,6,1,8,3] [[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>[2,5,4,3,8,7,6,1]=>[6,2,4,5,3,7,8,1] [[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>[6,7,4,1,8,5,3,2]=>[4,3,7,5,8,6,2,1] [[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>[5,7,4,1,8,6,3,2]=>[4,3,7,6,5,8,2,1] [[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>[5,6,4,1,8,7,3,2]=>[4,3,6,7,5,2,8,1] [[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>[4,7,5,1,8,6,3,2]=>[5,3,7,4,6,8,2,1] [[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>[6,7,3,1,8,5,4,2]=>[3,7,4,5,8,6,2,1] [[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>[5,7,3,1,8,6,4,2]=>[3,7,4,6,5,8,2,1] [[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>[5,6,3,1,8,7,4,2]=>[3,6,4,7,5,2,8,1] [[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>[4,7,3,1,8,6,5,2]=>[3,7,5,4,6,8,2,1] [[1,2,4,7],[3,6,8],[5]]=>[5,3,6,8,1,2,4,7]=>[4,6,3,1,8,7,5,2]=>[3,6,5,4,7,2,8,1] [[1,2,3,7],[4,6,8],[5]]=>[5,4,6,8,1,2,3,7]=>[4,5,3,1,8,7,6,2]=>[3,5,6,4,2,7,8,1] [[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>[3,7,5,1,8,6,4,2]=>[5,4,3,7,6,8,2,1] [[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>[3,6,5,1,8,7,4,2]=>[5,4,3,6,7,2,8,1] [[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>[3,7,4,1,8,6,5,2]=>[4,7,3,5,6,8,2,1] [[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>[3,6,4,1,8,7,5,2]=>[4,6,3,5,7,2,8,1] [[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>[6,7,2,1,8,5,4,3]=>[2,7,4,5,8,6,1,3] [[1,3,4,6],[2,7,8],[5]]=>[5,2,7,8,1,3,4,6]=>[4,7,2,1,8,6,5,3]=>[2,7,5,4,6,8,1,3] [[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>[4,6,2,1,8,7,5,3]=>[2,6,5,4,7,1,8,3] [[1,2,3,6],[4,7,8],[5]]=>[5,4,7,8,1,2,3,6]=>[4,5,2,1,8,7,6,3]=>[2,5,6,4,1,7,8,3] [[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>[3,5,2,1,8,7,6,4]=>[2,5,3,6,1,7,8,4] [[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>[3,4,2,1,8,7,6,5]=>[2,4,3,1,6,7,8,5] [[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>[2,6,5,1,8,7,4,3]=>[5,2,4,6,7,3,8,1] [[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>[2,6,4,1,8,7,5,3]=>[4,2,6,5,7,3,8,1] [[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>[2,5,4,1,8,7,6,3]=>[4,2,5,6,3,7,8,1] [[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>[2,4,3,1,8,7,6,5]=>[3,2,4,1,6,7,8,5] [[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>[1,7,5,3,8,6,4,2]=>[1,4,6,5,8,7,3,2] [[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>[1,6,4,3,8,7,5,2]=>[1,5,4,7,6,2,8,3] [[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>[1,5,4,3,8,7,6,2]=>[1,6,4,5,3,7,8,2] [[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>[1,7,5,2,8,6,4,3]=>[1,5,4,7,6,8,3,2] [[1,2,5,6],[3,4,7],[8]]=>[8,3,4,7,1,2,5,6]=>[1,6,5,2,8,7,4,3]=>[1,5,4,6,7,3,8,2] [[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>[1,7,4,2,8,6,5,3]=>[1,4,7,5,6,8,3,2] [[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>[1,6,4,2,8,7,5,3]=>[1,4,6,5,7,3,8,2] [[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>[1,7,3,2,8,6,5,4]=>[1,3,7,5,6,8,2,4] [[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>[1,5,3,2,8,7,6,4]=>[1,3,5,6,2,7,8,4] [[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,6,7,8,5] [[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>[6,3,7,4,8,5,2,1]=>[2,5,8,6,7,4,1,3] [[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>[5,3,7,4,8,6,2,1]=>[2,6,5,8,3,7,1,4] [[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>[5,3,6,4,8,7,2,1]=>[2,7,5,6,3,4,8,1] [[1,3,7,8],[2,4],[5,6]]=>[5,6,2,4,1,3,7,8]=>[4,3,7,5,8,6,2,1]=>[2,6,4,3,8,7,1,5] [[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[2,7,4,3,6,5,8,1] [[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>[6,2,7,4,8,5,3,1]=>[3,5,8,6,7,4,2,1] [[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>[5,2,6,4,8,7,3,1]=>[3,7,5,6,1,4,8,2] [[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>[4,2,7,5,8,6,3,1]=>[3,6,4,1,8,7,2,5] [[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>[4,2,6,5,8,7,3,1]=>[3,7,4,1,6,5,8,2] [[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>[6,2,7,3,8,5,4,1]=>[4,5,8,6,7,1,2,3] [[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>[5,2,6,3,8,7,4,1]=>[4,7,5,6,3,1,8,2] [[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>[4,2,6,3,8,7,5,1]=>[5,4,7,2,6,1,8,3] [[1,2,3,8],[4,6],[5,7]]=>[5,7,4,6,1,2,3,8]=>[4,2,5,3,8,7,6,1]=>[6,4,5,2,3,7,8,1] [[1,3,5,8],[2,4],[6,7]]=>[6,7,2,4,1,3,5,8]=>[3,2,7,5,8,6,4,1]=>[4,3,2,6,8,7,1,5] [[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>[3,2,6,5,8,7,4,1]=>[4,3,2,7,6,5,8,1] [[1,2,4,8],[3,5],[6,7]]=>[6,7,3,5,1,2,4,8]=>[3,2,6,4,8,7,5,1]=>[5,3,2,7,6,1,8,4] [[1,4,6,7],[2,5],[3,8]]=>[3,8,2,5,1,4,6,7]=>[6,1,7,4,8,5,3,2]=>[6,3,5,8,7,1,2,4] [[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>[5,1,7,4,8,6,3,2]=>[5,3,6,8,1,7,2,4] [[1,3,6,7],[2,4],[5,8]]=>[5,8,2,4,1,3,6,7]=>[4,1,7,5,8,6,3,2]=>[4,3,6,1,8,7,2,5] [[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>[4,1,6,5,8,7,3,2]=>[4,3,7,1,6,5,8,2] [[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>[6,1,7,3,8,5,4,2]=>[6,4,5,8,7,1,3,2] [[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>[5,1,7,3,8,6,4,2]=>[5,4,6,8,1,7,3,2] [[1,2,4,7],[3,6],[5,8]]=>[5,8,3,6,1,2,4,7]=>[4,1,6,3,8,7,5,2]=>[4,5,7,1,6,2,8,3] [[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>[4,1,5,3,8,7,6,2]=>[4,6,5,1,3,7,8,2] [[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>[3,1,7,5,8,6,4,2]=>[3,4,1,6,8,7,2,5] [[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>[3,1,6,5,8,7,4,2]=>[3,4,1,7,6,5,8,2] [[1,3,4,7],[2,5],[6,8]]=>[6,8,2,5,1,3,4,7]=>[3,1,7,4,8,6,5,2]=>[3,5,1,6,8,7,4,2] [[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>[3,1,6,4,8,7,5,2]=>[3,5,1,7,6,2,8,4] [[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>[3,1,5,4,8,7,6,2]=>[3,6,1,5,4,7,8,2] [[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>[6,1,7,2,8,5,4,3]=>[6,7,4,5,8,1,2,3] [[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>[5,1,7,2,8,6,4,3]=>[5,7,4,6,1,8,2,3] [[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>[5,1,6,2,8,7,4,3]=>[5,6,4,7,1,2,8,3] [[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>[4,1,7,2,8,6,5,3]=>[4,7,5,1,6,8,2,3] [[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>[4,1,6,2,8,7,5,3]=>[4,6,5,1,7,2,8,3] [[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>[4,1,5,2,8,7,6,3]=>[4,5,6,1,2,7,8,3] [[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>[3,1,6,2,8,7,5,4]=>[3,6,1,5,7,2,8,4] [[1,2,3,5],[4,7],[6,8]]=>[6,8,4,7,1,2,3,5]=>[3,1,5,2,8,7,6,4]=>[3,5,1,6,2,7,8,4] [[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>[3,1,4,2,8,7,6,5]=>[3,4,1,2,6,7,8,5] [[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>[2,1,7,5,8,6,4,3]=>[2,1,4,6,8,7,3,5] [[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>[2,1,6,5,8,7,4,3]=>[2,1,4,7,6,5,8,3] [[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>[2,1,6,4,8,7,5,3]=>[2,1,5,7,6,3,8,4] [[1,2,3,6],[4,5],[7,8]]=>[7,8,4,5,1,2,3,6]=>[2,1,5,4,8,7,6,3]=>[2,1,6,5,4,7,8,3] [[1,3,4,5],[2,6],[7,8]]=>[7,8,2,6,1,3,4,5]=>[2,1,7,3,8,6,5,4]=>[2,1,7,5,6,8,3,4] [[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>[2,1,5,3,8,7,6,4]=>[2,1,5,6,3,7,8,4] [[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,6,7,8,5] [[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>[5,6,7,3,8,4,2,1]=>[2,4,8,7,5,6,1,3] [[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>[4,6,7,3,8,5,2,1]=>[2,5,8,4,7,6,1,3] [[1,3,7,8],[2,6],[4],[5]]=>[5,4,2,6,1,3,7,8]=>[4,5,7,3,8,6,2,1]=>[2,6,8,4,5,7,1,3] [[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>[4,5,6,3,8,7,2,1]=>[2,7,6,4,5,3,8,1] [[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>[3,6,7,4,8,5,2,1]=>[2,5,3,8,7,6,1,4] [[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>[3,5,7,4,8,6,2,1]=>[2,6,3,8,5,7,1,4] [[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>[3,4,7,5,8,6,2,1]=>[2,6,3,4,8,7,1,5] [[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>[5,6,7,2,8,4,3,1]=>[3,4,8,7,5,6,2,1] [[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>[4,6,7,2,8,5,3,1]=>[3,5,8,4,7,6,2,1] [[1,3,6,8],[2,7],[4],[5]]=>[5,4,2,7,1,3,6,8]=>[4,5,7,2,8,6,3,1]=>[3,6,8,4,5,7,2,1] [[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>[4,5,6,2,8,7,3,1]=>[3,7,6,4,5,1,8,2] [[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>[3,6,7,2,8,5,4,1]=>[4,5,3,8,7,6,2,1] [[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>[3,5,7,2,8,6,4,1]=>[4,6,3,8,5,7,2,1] [[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>[3,5,6,2,8,7,4,1]=>[4,7,3,6,5,1,8,2] [[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>[3,4,6,2,8,7,5,1]=>[5,7,3,4,6,1,8,2] [[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>[2,6,7,4,8,5,3,1]=>[3,2,5,8,7,6,1,4] [[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>[2,5,7,4,8,6,3,1]=>[3,2,6,8,5,7,1,4] [[1,2,6,8],[3,5],[4],[7]]=>[7,4,3,5,1,2,6,8]=>[2,5,6,4,8,7,3,1]=>[3,2,7,6,5,4,8,1] [[1,3,6,8],[2,4],[5],[7]]=>[7,5,2,4,1,3,6,8]=>[2,4,7,5,8,6,3,1]=>[3,2,6,4,8,7,1,5] [[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>[2,4,6,5,8,7,3,1]=>[3,2,7,4,6,5,8,1] [[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>[2,6,7,3,8,5,4,1]=>[4,2,5,8,7,6,3,1] [[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>[2,5,7,3,8,6,4,1]=>[4,2,6,8,5,7,3,1] [[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>[2,4,7,3,8,6,5,1]=>[5,2,6,4,8,7,3,1] [[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>[2,4,6,3,8,7,5,1]=>[5,2,7,4,6,1,8,3] [[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>[2,4,5,3,8,7,6,1]=>[6,2,5,4,3,7,8,1] [[1,2,5,8],[3,4],[6],[7]]=>[7,6,3,4,1,2,5,8]=>[2,3,6,5,8,7,4,1]=>[4,2,3,7,6,5,8,1] [[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>[2,3,5,4,8,7,6,1]=>[6,2,3,5,4,7,8,1] [[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>[5,6,7,1,8,4,3,2]=>[7,3,4,8,5,6,1,2] [[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>[4,6,7,1,8,5,3,2]=>[7,3,5,4,8,6,1,2] [[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>[4,5,6,1,8,7,3,2]=>[6,3,7,4,5,1,8,2] [[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>[3,6,7,1,8,5,4,2]=>[7,4,3,5,8,6,1,2] [[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>[3,5,7,1,8,6,4,2]=>[7,4,3,6,5,8,1,2] [[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>[3,5,6,1,8,7,4,2]=>[6,4,3,7,5,1,8,2] [[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>[3,4,7,1,8,6,5,2]=>[7,5,3,4,6,8,1,2] [[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>[3,4,6,1,8,7,5,2]=>[6,5,3,4,7,1,8,2] [[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>[3,4,5,1,8,7,6,2]=>[5,6,3,4,1,7,8,2] [[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>[2,5,7,1,8,6,4,3]=>[7,2,4,6,5,8,1,3] [[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>[2,5,6,1,8,7,4,3]=>[6,2,4,7,5,1,8,3] [[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>[2,4,6,1,8,7,5,3]=>[6,2,5,4,7,1,8,3] [[1,2,4,5],[3,8],[6],[7]]=>[7,6,3,8,1,2,4,5]=>[2,3,6,1,8,7,5,4]=>[6,2,3,5,7,1,8,4] [[1,2,3,5],[4,8],[6],[7]]=>[7,6,4,8,1,2,3,5]=>[2,3,5,1,8,7,6,4]=>[5,2,3,6,1,7,8,4] [[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>[2,3,4,1,8,7,6,5]=>[4,2,3,1,6,7,8,5] [[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>[1,6,7,4,8,5,3,2]=>[1,3,5,8,7,6,2,4] [[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>[1,5,7,4,8,6,3,2]=>[1,3,6,8,5,7,2,4] [[1,3,6,7],[2,4],[5],[8]]=>[8,5,2,4,1,3,6,7]=>[1,4,7,5,8,6,3,2]=>[1,3,6,4,8,7,2,5] [[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>[1,4,6,5,8,7,3,2]=>[1,3,7,4,6,5,8,2] [[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>[1,6,7,3,8,5,4,2]=>[1,4,5,8,7,6,3,2] [[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>[1,5,7,3,8,6,4,2]=>[1,4,6,8,5,7,3,2] [[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>[1,4,6,3,8,7,5,2]=>[1,5,7,4,6,2,8,3] [[1,2,3,7],[4,6],[5],[8]]=>[8,5,4,6,1,2,3,7]=>[1,4,5,3,8,7,6,2]=>[1,6,5,4,3,7,8,2] [[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>[1,3,7,5,8,6,4,2]=>[1,4,3,6,8,7,2,5] [[1,2,4,7],[3,5],[6],[8]]=>[8,6,3,5,1,2,4,7]=>[1,3,6,4,8,7,5,2]=>[1,5,3,7,6,2,8,4] [[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>[1,3,5,4,8,7,6,2]=>[1,6,3,5,4,7,8,2] [[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>[1,6,7,2,8,5,4,3]=>[1,7,4,5,8,6,2,3] [[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>[1,5,7,2,8,6,4,3]=>[1,7,4,6,5,8,2,3] [[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>[1,4,6,2,8,7,5,3]=>[1,6,5,4,7,2,8,3] [[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>[1,4,5,2,8,7,6,3]=>[1,5,6,4,2,7,8,3] [[1,3,4,5],[2,7],[6],[8]]=>[8,6,2,7,1,3,4,5]=>[1,3,7,2,8,6,5,4]=>[1,7,3,5,6,8,2,4] [[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>[1,3,6,2,8,7,5,4]=>[1,6,3,5,7,2,8,4] [[1,2,3,5],[4,7],[6],[8]]=>[8,6,4,7,1,2,3,5]=>[1,3,5,2,8,7,6,4]=>[1,5,3,6,2,7,8,4] [[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>[1,3,4,2,8,7,6,5]=>[1,4,3,2,6,7,8,5] [[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>[1,2,7,5,8,6,4,3]=>[1,2,4,6,8,7,3,5] [[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>[1,2,6,5,8,7,4,3]=>[1,2,4,7,6,5,8,3] [[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>[1,2,7,4,8,6,5,3]=>[1,2,5,6,8,7,4,3] [[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>[1,2,6,4,8,7,5,3]=>[1,2,5,7,6,3,8,4] [[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>[1,2,5,4,8,7,6,3]=>[1,2,6,5,4,7,8,3] [[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>[1,2,7,3,8,6,5,4]=>[1,2,7,5,6,8,3,4] [[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>[1,2,6,3,8,7,5,4]=>[1,2,6,5,7,3,8,4] [[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>[1,2,5,3,8,7,6,4]=>[1,2,5,6,3,7,8,4] [[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,6,7,8,5] [[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[2,3,8,4,5,6,7,1] [[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>[3,5,6,7,8,4,2,1]=>[2,4,3,8,5,6,7,1] [[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>[3,4,6,7,8,5,2,1]=>[2,5,3,4,8,6,7,1] [[1,3,7,8],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7,8]=>[3,4,5,7,8,6,2,1]=>[2,6,3,4,5,8,7,1] [[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>[3,4,5,6,8,7,2,1]=>[2,7,3,4,5,6,8,1] [[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>[2,5,6,7,8,4,3,1]=>[3,2,4,8,5,6,7,1] [[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>[2,4,6,7,8,5,3,1]=>[3,2,5,4,8,6,7,1] [[1,3,6,8],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6,8]=>[2,4,5,7,8,6,3,1]=>[3,2,6,4,5,8,7,1] [[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>[2,3,6,7,8,5,4,1]=>[4,2,3,5,8,6,7,1] [[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>[2,3,5,7,8,6,4,1]=>[4,2,3,6,5,8,7,1] [[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>[2,3,5,6,8,7,4,1]=>[4,2,3,7,5,6,8,1] [[1,2,4,8],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4,8]=>[2,3,4,6,8,7,5,1]=>[5,2,3,4,7,6,8,1] [[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>[2,3,4,5,8,7,6,1]=>[6,2,3,4,5,7,8,1] [[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>[1,5,6,7,8,4,3,2]=>[1,3,4,8,5,6,7,2] [[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>[1,4,6,7,8,5,3,2]=>[1,3,5,4,8,6,7,2] [[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>[1,4,5,7,8,6,3,2]=>[1,3,6,4,5,8,7,2] [[1,4,5,7],[2],[3],[6],[8]]=>[8,6,3,2,1,4,5,7]=>[1,3,6,7,8,5,4,2]=>[1,4,3,5,8,6,7,2] [[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>[1,3,5,7,8,6,4,2]=>[1,4,3,6,5,8,7,2] [[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>[1,3,5,6,8,7,4,2]=>[1,4,3,7,5,6,8,2] [[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>[1,3,4,5,8,7,6,2]=>[1,6,3,4,5,7,8,2] [[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>[1,2,6,7,8,5,4,3]=>[1,2,4,5,8,6,7,3] [[1,2,5,6],[3],[4],[7],[8]]=>[8,7,4,3,1,2,5,6]=>[1,2,5,6,8,7,4,3]=>[1,2,4,7,5,6,8,3] [[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>[1,2,4,7,8,6,5,3]=>[1,2,5,4,6,8,7,3] [[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>[1,2,4,6,8,7,5,3]=>[1,2,5,4,7,6,8,3] [[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>[1,2,4,5,8,7,6,3]=>[1,2,6,4,5,7,8,3] [[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>[1,2,3,7,8,6,5,4]=>[1,2,3,5,6,8,7,4] [[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>[1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4] [[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>[1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4] [[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5] [[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>[6,3,7,4,1,8,5,2]=>[4,7,5,8,6,3,2,1] [[1,3,7],[2,5,8],[4,6]]=>[4,6,2,5,8,1,3,7]=>[5,3,7,4,1,8,6,2]=>[4,7,6,5,1,8,2,3] [[1,3,7],[2,4,8],[5,6]]=>[5,6,2,4,8,1,3,7]=>[4,3,7,5,1,8,6,2]=>[5,7,4,3,6,8,2,1] [[1,2,7],[3,4,8],[5,6]]=>[5,6,3,4,8,1,2,7]=>[4,3,6,5,1,8,7,2]=>[5,6,4,3,7,2,8,1] [[1,4,6],[2,5,8],[3,7]]=>[3,7,2,5,8,1,4,6]=>[6,2,7,4,1,8,5,3]=>[4,7,6,5,8,3,2,1] [[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>[5,2,7,4,1,8,6,3]=>[4,7,5,6,3,8,2,1] [[1,2,6],[3,5,8],[4,7]]=>[4,7,3,5,8,1,2,6]=>[5,2,6,4,1,8,7,3]=>[4,6,5,7,3,2,8,1] [[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>[4,2,7,5,1,8,6,3]=>[5,4,7,2,6,8,3,1] [[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>[4,2,6,5,1,8,7,3]=>[5,4,6,2,7,3,8,1] [[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>[6,2,7,3,1,8,5,4]=>[3,7,6,5,8,1,2,4] [[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>[5,2,6,3,1,8,7,4]=>[3,6,5,7,1,2,8,4] [[1,2,4],[3,6,8],[5,7]]=>[5,7,3,6,8,1,2,4]=>[4,2,6,3,1,8,7,5]=>[3,6,4,1,7,2,8,5] [[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>[4,2,5,3,1,8,7,6]=>[3,5,4,1,2,7,8,6] [[1,3,5],[2,4,8],[6,7]]=>[6,7,2,4,8,1,3,5]=>[3,2,7,5,1,8,6,4]=>[5,3,2,7,6,8,4,1] [[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>[3,2,6,4,1,8,7,5]=>[4,3,2,6,7,1,8,5] [[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>[3,2,5,4,1,8,7,6]=>[4,3,2,5,1,7,8,6] [[1,4,6],[2,5,7],[3,8]]=>[3,8,2,5,7,1,4,6]=>[6,1,7,4,2,8,5,3]=>[6,4,7,5,8,1,3,2] [[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>[5,1,7,4,2,8,6,3]=>[5,4,7,6,1,8,3,2] [[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>[5,1,6,4,2,8,7,3]=>[5,4,6,7,1,3,8,2] [[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>[4,1,7,5,2,8,6,3]=>[4,5,7,1,6,8,3,2] [[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>[6,1,7,3,2,8,5,4]=>[6,3,7,5,8,1,2,4] [[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>[5,1,6,3,2,8,7,4]=>[5,3,6,7,1,2,8,4] [[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>[4,1,7,3,2,8,6,5]=>[4,3,7,1,6,8,2,5] [[1,2,3],[4,6,7],[5,8]]=>[5,8,4,6,7,1,2,3]=>[4,1,5,3,2,8,7,6]=>[4,3,5,1,2,7,8,6] [[1,2,5],[3,4,7],[6,8]]=>[6,8,3,4,7,1,2,5]=>[3,1,6,5,2,8,7,4]=>[3,5,1,6,7,4,8,2] [[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>[3,1,7,4,2,8,6,5]=>[3,4,1,7,6,8,2,5] [[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>[2,1,7,5,3,8,6,4]=>[2,1,5,7,6,8,4,3] [[1,2,5],[3,4,6],[7,8]]=>[7,8,3,4,6,1,2,5]=>[2,1,6,5,3,8,7,4]=>[2,1,5,6,7,4,8,3] [[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>[2,1,7,4,3,8,6,5]=>[2,1,4,7,6,8,3,5] [[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>[2,1,6,4,3,8,7,5]=>[2,1,4,6,7,3,8,5] [[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>[5,6,7,3,1,8,4,2]=>[3,7,4,8,5,6,2,1] [[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>[4,6,7,3,1,8,5,2]=>[3,7,5,4,8,6,2,1] [[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>[4,5,7,3,1,8,6,2]=>[3,7,6,4,5,8,2,1] [[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>[4,5,6,3,1,8,7,2]=>[3,6,7,4,5,2,8,1] [[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>[3,6,7,4,1,8,5,2]=>[4,7,3,5,8,6,2,1] [[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>[3,5,6,4,1,8,7,2]=>[4,6,3,7,5,2,8,1] [[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>[3,4,7,5,1,8,6,2]=>[5,7,3,4,6,8,2,1] [[1,2,7],[3,4,8],[5],[6]]=>[6,5,3,4,8,1,2,7]=>[3,4,6,5,1,8,7,2]=>[5,6,3,4,7,2,8,1] [[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>[5,6,7,2,1,8,4,3]=>[2,7,4,8,5,6,1,3] [[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>[4,6,7,2,1,8,5,3]=>[2,7,5,4,8,6,1,3] [[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>[4,5,7,2,1,8,6,3]=>[2,7,6,4,5,8,1,3] [[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>[4,5,6,2,1,8,7,3]=>[2,6,7,4,5,1,8,3] [[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[2,7,3,5,8,6,1,4] [[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>[3,5,7,2,1,8,6,4]=>[2,7,3,6,5,8,1,4] [[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>[3,5,6,2,1,8,7,4]=>[2,6,3,7,5,1,8,4] [[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>[3,4,7,2,1,8,6,5]=>[2,7,3,4,6,8,1,5] [[1,2,4],[3,7,8],[5],[6]]=>[6,5,3,7,8,1,2,4]=>[3,4,6,2,1,8,7,5]=>[2,6,3,4,7,1,8,5] [[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>[3,4,5,2,1,8,7,6]=>[2,5,3,4,1,7,8,6] [[1,4,6],[2,5,8],[3],[7]]=>[7,3,2,5,8,1,4,6]=>[2,6,7,4,1,8,5,3]=>[4,2,7,5,8,6,3,1] [[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>[2,5,7,4,1,8,6,3]=>[4,2,7,6,5,8,3,1] [[1,3,6],[2,4,8],[5],[7]]=>[7,5,2,4,8,1,3,6]=>[2,4,7,5,1,8,6,3]=>[5,2,7,4,6,8,3,1] [[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>[2,4,6,5,1,8,7,3]=>[5,2,6,4,7,3,8,1] [[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>[2,6,7,3,1,8,5,4]=>[3,2,7,5,8,6,1,4] [[1,3,5],[2,6,8],[4],[7]]=>[7,4,2,6,8,1,3,5]=>[2,5,7,3,1,8,6,4]=>[3,2,7,6,5,8,1,4] [[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>[2,4,7,3,1,8,6,5]=>[3,2,7,4,6,8,1,5] [[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>[2,4,6,3,1,8,7,5]=>[3,2,6,4,7,1,8,5] [[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>[2,4,5,3,1,8,7,6]=>[3,2,5,4,1,7,8,6] [[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>[2,3,7,5,1,8,6,4]=>[5,2,3,7,6,8,4,1] [[1,2,5],[3,4,8],[6],[7]]=>[7,6,3,4,8,1,2,5]=>[2,3,6,5,1,8,7,4]=>[5,2,3,6,7,4,8,1] [[1,3,4],[2,5,8],[6],[7]]=>[7,6,2,5,8,1,3,4]=>[2,3,7,4,1,8,6,5]=>[4,2,3,7,6,8,1,5] [[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>[2,3,6,4,1,8,7,5]=>[4,2,3,6,7,1,8,5] [[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>[2,3,5,4,1,8,7,6]=>[4,2,3,5,1,7,8,6] [[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>[1,6,7,4,2,8,5,3]=>[1,4,7,5,8,6,3,2] [[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>[1,5,7,4,2,8,6,3]=>[1,4,7,6,5,8,3,2] [[1,2,6],[3,5,7],[4],[8]]=>[8,4,3,5,7,1,2,6]=>[1,5,6,4,2,8,7,3]=>[1,4,6,7,5,3,8,2] [[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>[1,4,7,5,2,8,6,3]=>[1,5,7,4,6,8,3,2] [[1,2,6],[3,4,7],[5],[8]]=>[8,5,3,4,7,1,2,6]=>[1,4,6,5,2,8,7,3]=>[1,5,6,4,7,3,8,2] [[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>[1,6,7,3,2,8,5,4]=>[1,3,7,5,8,6,2,4] [[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>[1,5,7,3,2,8,6,4]=>[1,3,7,6,5,8,2,4] [[1,2,5],[3,6,7],[4],[8]]=>[8,4,3,6,7,1,2,5]=>[1,5,6,3,2,8,7,4]=>[1,3,6,7,5,2,8,4] [[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>[1,4,7,3,2,8,6,5]=>[1,3,7,4,6,8,2,5] [[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>[1,4,6,3,2,8,7,5]=>[1,3,6,4,7,2,8,5] [[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>[1,4,5,3,2,8,7,6]=>[1,3,5,4,2,7,8,6] [[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>[1,3,7,5,2,8,6,4]=>[1,5,3,7,6,8,4,2] [[1,3,4],[2,5,7],[6],[8]]=>[8,6,2,5,7,1,3,4]=>[1,3,7,4,2,8,6,5]=>[1,4,3,7,6,8,2,5] [[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>[1,3,6,4,2,8,7,5]=>[1,4,3,6,7,2,8,5] [[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>[1,2,7,5,3,8,6,4]=>[1,2,5,7,6,8,4,3] [[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>[1,2,6,5,3,8,7,4]=>[1,2,5,6,7,4,8,3] [[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>[1,2,7,4,3,8,6,5]=>[1,2,4,7,6,8,3,5] [[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>[1,2,5,4,3,8,7,6]=>[1,2,4,5,3,7,8,6] [[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[5,6,2,7,3,8,4,1]=>[4,8,6,7,5,3,1,2] [[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[4,6,2,7,3,8,5,1]=>[5,8,6,4,7,3,1,2] [[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[4,5,2,7,3,8,6,1]=>[6,5,8,4,2,7,1,3] [[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[3,6,2,7,4,8,5,1]=>[5,8,3,6,7,4,1,2] [[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[6,5,3,8,2,7,1,4] [[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>[3,5,2,6,4,8,7,1]=>[7,5,3,6,2,4,8,1] [[1,3,8],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3,8]=>[3,4,2,7,5,8,6,1]=>[6,4,3,2,8,7,1,5] [[1,2,8],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2,8]=>[3,4,2,6,5,8,7,1]=>[7,4,3,2,6,5,8,1] [[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[2,6,3,7,4,8,5,1]=>[5,2,8,6,7,4,1,3] [[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>[2,4,3,6,5,8,7,1]=>[7,2,4,3,6,5,8,1] [[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>[5,6,1,7,3,8,4,2]=>[6,4,8,7,5,1,2,3] [[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[4,6,1,7,3,8,5,2]=>[6,5,8,4,7,1,2,3] [[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[4,5,1,7,3,8,6,2]=>[5,6,8,4,1,7,2,3] [[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>[3,5,1,7,4,8,6,2]=>[5,6,3,8,1,7,2,4] [[1,3,7],[2,4],[5,8],[6]]=>[6,5,8,2,4,1,3,7]=>[3,4,1,7,5,8,6,2]=>[4,6,3,1,8,7,2,5] [[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>[3,4,1,6,5,8,7,2]=>[4,7,3,1,6,5,8,2] [[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>[5,6,1,7,2,8,4,3]=>[6,7,4,8,5,1,2,3] [[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[4,5,1,7,2,8,6,3]=>[5,7,6,4,1,8,2,3] [[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>[4,5,1,6,2,8,7,3]=>[5,6,7,4,1,2,8,3] [[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[3,5,1,7,2,8,6,4]=>[5,7,3,6,1,8,2,4] [[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>[3,5,1,6,2,8,7,4]=>[5,6,3,7,1,2,8,4] [[1,3,4],[2,7],[5,8],[6]]=>[6,5,8,2,7,1,3,4]=>[3,4,1,7,2,8,6,5]=>[4,7,3,1,6,8,2,5] [[1,2,4],[3,7],[5,8],[6]]=>[6,5,8,3,7,1,2,4]=>[3,4,1,6,2,8,7,5]=>[4,6,3,1,7,2,8,5] [[1,2,3],[4,7],[5,8],[6]]=>[6,5,8,4,7,1,2,3]=>[3,4,1,5,2,8,7,6]=>[4,5,3,1,2,7,8,6] [[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>[2,6,1,7,4,8,5,3]=>[6,2,5,8,7,1,3,4] [[1,3,6],[2,5],[4,8],[7]]=>[7,4,8,2,5,1,3,6]=>[2,5,1,7,4,8,6,3]=>[5,2,6,8,1,7,3,4] [[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>[2,4,1,7,5,8,6,3]=>[4,2,6,1,8,7,3,5] [[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>[2,4,1,6,5,8,7,3]=>[4,2,7,1,6,5,8,3] [[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>[2,5,1,7,3,8,6,4]=>[5,2,7,6,1,8,3,4] [[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>[2,4,1,7,3,8,6,5]=>[4,2,7,1,6,8,3,5] [[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>[2,4,1,6,3,8,7,5]=>[4,2,6,1,7,3,8,5] [[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>[2,4,1,5,3,8,7,6]=>[4,2,5,1,3,7,8,6] [[1,3,5],[2,4],[6,8],[7]]=>[7,6,8,2,4,1,3,5]=>[2,3,1,7,5,8,6,4]=>[3,2,1,6,8,7,4,5] [[1,2,5],[3,4],[6,8],[7]]=>[7,6,8,3,4,1,2,5]=>[2,3,1,6,5,8,7,4]=>[3,2,1,7,6,5,8,4] [[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>[2,3,1,7,4,8,6,5]=>[3,2,1,7,6,8,4,5] [[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>[1,6,3,7,4,8,5,2]=>[1,5,8,6,7,4,2,3] [[1,3,7],[2,5],[4,6],[8]]=>[8,4,6,2,5,1,3,7]=>[1,5,3,7,4,8,6,2]=>[1,6,5,8,3,7,2,4] [[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>[1,4,3,6,5,8,7,2]=>[1,7,4,3,6,5,8,2] [[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>[1,6,2,7,4,8,5,3]=>[1,6,5,8,7,2,3,4] [[1,3,6],[2,5],[4,7],[8]]=>[8,4,7,2,5,1,3,6]=>[1,5,2,7,4,8,6,3]=>[1,5,6,8,2,7,3,4] [[1,2,6],[3,5],[4,7],[8]]=>[8,4,7,3,5,1,2,6]=>[1,5,2,6,4,8,7,3]=>[1,5,7,6,2,4,8,3] [[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>[1,4,2,7,5,8,6,3]=>[1,4,6,2,8,7,3,5] [[1,2,6],[3,4],[5,7],[8]]=>[8,5,7,3,4,1,2,6]=>[1,4,2,6,5,8,7,3]=>[1,4,7,2,6,5,8,3] [[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>[1,6,2,7,3,8,5,4]=>[1,6,7,5,8,2,3,4] [[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>[1,5,2,7,3,8,6,4]=>[1,5,7,6,2,8,3,4] [[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>[1,5,2,6,3,8,7,4]=>[1,5,6,7,2,3,8,4] [[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>[1,4,2,7,3,8,6,5]=>[1,4,7,2,6,8,3,5] [[1,2,3],[4,6],[5,7],[8]]=>[8,5,7,4,6,1,2,3]=>[1,4,2,5,3,8,7,6]=>[1,4,5,2,3,7,8,6] [[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>[1,3,2,7,5,8,6,4]=>[1,3,2,6,8,7,4,5] [[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>[1,3,2,6,5,8,7,4]=>[1,3,2,7,6,5,8,4] [[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>[1,3,2,7,4,8,6,5]=>[1,3,2,7,6,8,4,5] [[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>[1,3,2,6,4,8,7,5]=>[1,3,2,6,7,4,8,5] [[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,7,8,6] [[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>[4,5,6,7,2,8,3,1]=>[3,8,7,4,5,6,1,2] [[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[4,8,3,7,5,6,1,2] [[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>[3,4,6,7,2,8,5,1]=>[5,8,3,4,7,6,1,2] [[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>[3,4,5,7,2,8,6,1]=>[6,8,3,4,5,7,1,2] [[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>[2,4,6,7,3,8,5,1]=>[5,2,8,4,7,6,1,3] [[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>[2,4,5,7,3,8,6,1]=>[6,2,8,4,5,7,1,3] [[1,2,8],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2,8]=>[2,4,5,6,3,8,7,1]=>[7,2,6,4,5,3,8,1] [[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>[2,3,6,7,4,8,5,1]=>[5,2,3,8,7,6,1,4] [[1,3,8],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3,8]=>[2,3,5,7,4,8,6,1]=>[6,2,3,8,5,7,1,4] [[1,2,8],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2,8]=>[2,3,5,6,4,8,7,1]=>[7,2,3,6,5,4,8,1] [[1,3,8],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3,8]=>[2,3,4,7,5,8,6,1]=>[6,2,3,4,8,7,1,5] [[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>[2,3,4,6,5,8,7,1]=>[7,2,3,4,6,5,8,1] [[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>[4,5,6,7,1,8,3,2]=>[7,3,8,4,5,6,1,2] [[1,5,7],[2,8],[3],[4],[6]]=>[6,4,3,2,8,1,5,7]=>[3,5,6,7,1,8,4,2]=>[7,4,3,8,5,6,1,2] [[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>[3,4,6,7,1,8,5,2]=>[7,5,3,4,8,6,1,2] [[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>[3,4,5,7,1,8,6,2]=>[7,6,3,4,5,8,1,2] [[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>[3,4,5,6,1,8,7,2]=>[6,7,3,4,5,1,8,2] [[1,5,6],[2,8],[3],[4],[7]]=>[7,4,3,2,8,1,5,6]=>[2,5,6,7,1,8,4,3]=>[7,2,4,8,5,6,1,3] [[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>[2,4,6,7,1,8,5,3]=>[7,2,5,4,8,6,1,3] [[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>[2,4,5,7,1,8,6,3]=>[7,2,6,4,5,8,1,3] [[1,2,6],[3,8],[4],[5],[7]]=>[7,5,4,3,8,1,2,6]=>[2,4,5,6,1,8,7,3]=>[6,2,7,4,5,1,8,3] [[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>[2,3,6,7,1,8,5,4]=>[7,2,3,5,8,6,1,4] [[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>[2,3,4,7,1,8,6,5]=>[7,2,3,4,6,8,1,5] [[1,2,4],[3,8],[5],[6],[7]]=>[7,6,5,3,8,1,2,4]=>[2,3,4,6,1,8,7,5]=>[6,2,3,4,7,1,8,5] [[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>[2,3,4,5,1,8,7,6]=>[5,2,3,4,1,7,8,6] [[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>[1,4,6,7,3,8,5,2]=>[1,5,8,4,7,6,2,3] [[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>[1,4,5,7,3,8,6,2]=>[1,6,8,4,5,7,2,3] [[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>[1,4,5,6,3,8,7,2]=>[1,7,6,4,5,3,8,2] [[1,4,7],[2,5],[3],[6],[8]]=>[8,6,3,2,5,1,4,7]=>[1,3,6,7,4,8,5,2]=>[1,5,3,8,7,6,2,4] [[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>[1,3,5,7,4,8,6,2]=>[1,6,3,8,5,7,2,4] [[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>[1,3,4,7,5,8,6,2]=>[1,6,3,4,8,7,2,5] [[1,5,6],[2,7],[3],[4],[8]]=>[8,4,3,2,7,1,5,6]=>[1,5,6,7,2,8,4,3]=>[1,7,4,8,5,6,2,3] [[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>[1,4,6,7,2,8,5,3]=>[1,7,5,4,8,6,2,3] [[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>[1,3,5,7,2,8,6,4]=>[1,7,3,6,5,8,2,4] [[1,2,4],[3,7],[5],[6],[8]]=>[8,6,5,3,7,1,2,4]=>[1,3,4,6,2,8,7,5]=>[1,6,3,4,7,2,8,5] [[1,2,3],[4,7],[5],[6],[8]]=>[8,6,5,4,7,1,2,3]=>[1,3,4,5,2,8,7,6]=>[1,5,3,4,2,7,8,6] [[1,4,6],[2,5],[3],[7],[8]]=>[8,7,3,2,5,1,4,6]=>[1,2,6,7,4,8,5,3]=>[1,2,5,8,7,6,3,4] [[1,3,6],[2,5],[4],[7],[8]]=>[8,7,4,2,5,1,3,6]=>[1,2,5,7,4,8,6,3]=>[1,2,6,8,5,7,3,4] [[1,3,6],[2,4],[5],[7],[8]]=>[8,7,5,2,4,1,3,6]=>[1,2,4,7,5,8,6,3]=>[1,2,6,4,8,7,3,5] [[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>[1,2,4,6,5,8,7,3]=>[1,2,7,4,6,5,8,3] [[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>[1,2,6,7,3,8,5,4]=>[1,2,7,5,8,6,3,4] [[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>[1,2,5,7,3,8,6,4]=>[1,2,7,6,5,8,3,4] [[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>[1,2,5,6,3,8,7,4]=>[1,2,6,7,5,3,8,4] [[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>[1,2,4,7,3,8,6,5]=>[1,2,7,4,6,8,3,5] [[1,2,4],[3,6],[5],[7],[8]]=>[8,7,5,3,6,1,2,4]=>[1,2,4,6,3,8,7,5]=>[1,2,6,4,7,3,8,5] [[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>[1,2,4,5,3,8,7,6]=>[1,2,5,4,3,7,8,6] [[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>[1,2,3,7,5,8,6,4]=>[1,2,3,6,8,7,4,5] [[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>[1,2,3,6,5,8,7,4]=>[1,2,3,7,6,5,8,4] [[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>[1,2,3,7,4,8,6,5]=>[1,2,3,7,6,8,4,5] [[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>[1,2,3,6,4,8,7,5]=>[1,2,3,6,7,4,8,5] [[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,7,8,6] [[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[2,8,3,4,5,6,7,1] [[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>[2,4,5,6,7,8,3,1]=>[3,2,8,4,5,6,7,1] [[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>[2,3,5,6,7,8,4,1]=>[4,2,3,8,5,6,7,1] [[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>[2,3,4,6,7,8,5,1]=>[5,2,3,4,8,6,7,1] [[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>[2,3,4,5,7,8,6,1]=>[6,2,3,4,5,8,7,1] [[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>[2,3,4,5,6,8,7,1]=>[7,2,3,4,5,6,8,1] [[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>[1,4,5,6,7,8,3,2]=>[1,3,8,4,5,6,7,2] [[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>[1,3,5,6,7,8,4,2]=>[1,4,3,8,5,6,7,2] [[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>[1,3,4,6,7,8,5,2]=>[1,5,3,4,8,6,7,2] [[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>[1,3,4,5,7,8,6,2]=>[1,6,3,4,5,8,7,2] [[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>[1,3,4,5,6,8,7,2]=>[1,7,3,4,5,6,8,2] [[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>[1,2,5,6,7,8,4,3]=>[1,2,4,8,5,6,7,3] [[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>[1,2,4,6,7,8,5,3]=>[1,2,5,4,8,6,7,3] [[1,3,6],[2],[4],[5],[7],[8]]=>[8,7,5,4,2,1,3,6]=>[1,2,4,5,7,8,6,3]=>[1,2,6,4,5,8,7,3] [[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>[1,2,4,5,6,8,7,3]=>[1,2,7,4,5,6,8,3] [[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>[1,2,3,6,7,8,5,4]=>[1,2,3,5,8,6,7,4] [[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4] [[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>[1,2,3,5,6,8,7,4]=>[1,2,3,7,5,6,8,4] [[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>[1,2,3,4,7,8,6,5]=>[1,2,3,4,6,8,7,5] [[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5] [[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6] [[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[5,6,7,8,1,2,3,4] [[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>[4,6,7,1,8,2,3,5] [[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[4,1,5,2,7,3,8,6]=>[4,5,7,1,2,8,3,6] [[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>[4,1,5,2,6,3,8,7]=>[4,5,6,1,2,3,8,7] [[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[3,1,6,2,7,4,8,5]=>[3,6,1,7,8,2,4,5] [[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[3,5,1,7,2,8,4,6] [[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>[3,1,5,2,6,4,8,7]=>[3,5,1,6,2,4,8,7] [[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>[3,4,1,2,7,8,5,6] [[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>[3,1,4,2,6,5,8,7]=>[3,4,1,2,6,5,8,7] [[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>[2,1,6,3,7,4,8,5]=>[2,1,6,7,8,3,4,5] [[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>[2,1,5,3,7,4,8,6]=>[2,1,5,7,3,8,4,6] [[1,2],[3,5],[4,6],[7,8]]=>[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>[2,1,5,6,3,4,8,7] [[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>[2,1,4,3,7,5,8,6]=>[2,1,4,3,7,8,5,6] [[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7] [[1,6],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6]=>[4,5,6,1,7,2,8,3]=>[6,7,8,4,5,1,2,3] [[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>[3,5,6,1,7,2,8,4]=>[6,7,3,8,5,1,2,4] [[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>[3,4,6,1,7,2,8,5]=>[6,7,3,4,8,1,2,5] [[1,2],[3,7],[4,8],[5],[6]]=>[6,5,4,8,3,7,1,2]=>[3,4,5,1,6,2,8,7]=>[5,6,3,4,1,2,8,7] [[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[6,2,7,4,8,1,3,5] [[1,3],[2,6],[4,8],[5],[7]]=>[7,5,4,8,2,6,1,3]=>[2,4,5,1,7,3,8,6]=>[5,2,7,4,1,8,3,6] [[1,2],[3,6],[4,8],[5],[7]]=>[7,5,4,8,3,6,1,2]=>[2,4,5,1,6,3,8,7]=>[5,2,6,4,1,3,8,7] [[1,3],[2,5],[4,8],[6],[7]]=>[7,6,4,8,2,5,1,3]=>[2,3,5,1,7,4,8,6]=>[5,2,3,7,1,8,4,6] [[1,2],[3,5],[4,8],[6],[7]]=>[7,6,4,8,3,5,1,2]=>[2,3,5,1,6,4,8,7]=>[5,2,3,6,1,4,8,7] [[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>[2,3,4,1,7,5,8,6]=>[4,2,3,1,7,8,5,6] [[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7] [[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>[1,4,6,2,7,3,8,5]=>[1,6,7,4,8,2,3,5] [[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>[1,4,5,2,7,3,8,6]=>[1,5,7,4,2,8,3,6] [[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>[1,4,5,2,6,3,8,7]=>[1,5,6,4,2,3,8,7] [[1,4],[2,5],[3,7],[6],[8]]=>[8,6,3,7,2,5,1,4]=>[1,3,6,2,7,4,8,5]=>[1,6,3,7,8,2,4,5] [[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6] [[1,2],[3,5],[4,7],[6],[8]]=>[8,6,4,7,3,5,1,2]=>[1,3,5,2,6,4,8,7]=>[1,5,3,6,2,4,8,7] [[1,3],[2,4],[5,7],[6],[8]]=>[8,6,5,7,2,4,1,3]=>[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6] [[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5] [[1,3],[2,5],[4,6],[7],[8]]=>[8,7,4,6,2,5,1,3]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6] [[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>[1,2,5,3,6,4,8,7]=>[1,2,5,6,3,4,8,7] [[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6] [[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7] [[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>[3,4,5,6,7,1,8,2]=>[7,8,3,4,5,6,1,2] [[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[7,2,8,4,5,6,1,3] [[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>[2,3,5,6,7,1,8,4]=>[7,2,3,8,5,6,1,4] [[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>[2,3,4,5,7,1,8,6]=>[7,2,3,4,5,8,1,6] [[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>[2,3,4,5,6,1,8,7]=>[6,2,3,4,5,1,8,7] [[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>[1,4,5,6,7,2,8,3]=>[1,7,8,4,5,6,2,3] [[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>[1,3,5,6,7,2,8,4]=>[1,7,3,8,5,6,2,4] [[1,4],[2,7],[3],[5],[6],[8]]=>[8,6,5,3,2,7,1,4]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5] [[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6] [[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4] [[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5] [[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>[1,2,4,5,7,3,8,6]=>[1,2,7,4,5,8,3,6] [[1,4],[2,5],[3],[6],[7],[8]]=>[8,7,6,3,2,5,1,4]=>[1,2,3,6,7,4,8,5]=>[1,2,3,7,8,6,4,5] [[1,3],[2,5],[4],[6],[7],[8]]=>[8,7,6,4,2,5,1,3]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6] [[1,2],[3,5],[4],[6],[7],[8]]=>[8,7,6,4,3,5,1,2]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7] [[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6] [[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7] [[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1] [[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2] [[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3] [[1,5],[2],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,2,1,5]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4] [[1,4],[2],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,2,1,4]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5] [[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6] [[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7] [[1],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8] [[1,3,5,7,9],[2,4,6,8,10]]=>[2,4,6,8,10,1,3,5,7,9]=>[9,7,5,3,1,10,8,6,4,2]=>[3,5,4,7,6,9,8,10,2,1] [[1,3,5,7,8],[2,4,6,9,10]]=>[2,4,6,9,10,1,3,5,7,8]=>[9,7,5,2,1,10,8,6,4,3]=>[2,5,4,7,6,9,8,10,1,3] [[1,3,5,6,9],[2,4,7,8,10]]=>[2,4,7,8,10,1,3,5,6,9]=>[9,7,4,3,1,10,8,6,5,2]=>[3,4,7,5,6,9,8,10,2,1] [[1,3,5,6,8],[2,4,7,9,10]]=>[2,4,7,9,10,1,3,5,6,8]=>[9,7,4,2,1,10,8,6,5,3]=>[2,4,7,5,6,9,8,10,1,3] [[1,3,5,6,7],[2,4,8,9,10]]=>[2,4,8,9,10,1,3,5,6,7]=>[9,7,3,2,1,10,8,6,5,4]=>[2,3,7,5,6,9,8,10,4,1] [[1,3,4,7,9],[2,5,6,8,10]]=>[2,5,6,8,10,1,3,4,7,9]=>[9,6,5,3,1,10,8,7,4,2]=>[3,5,4,6,9,7,8,10,2,1] [[1,3,4,7,8],[2,5,6,9,10]]=>[2,5,6,9,10,1,3,4,7,8]=>[9,6,5,2,1,10,8,7,4,3]=>[2,5,4,6,9,7,8,10,1,3] [[1,3,4,6,9],[2,5,7,8,10]]=>[2,5,7,8,10,1,3,4,6,9]=>[9,6,4,3,1,10,8,7,5,2]=>[3,4,6,5,9,7,8,10,2,1] [[1,3,4,6,8],[2,5,7,9,10]]=>[2,5,7,9,10,1,3,4,6,8]=>[9,6,4,2,1,10,8,7,5,3]=>[2,4,6,5,9,7,8,10,1,3] [[1,3,4,6,7],[2,5,8,9,10]]=>[2,5,8,9,10,1,3,4,6,7]=>[9,6,3,2,1,10,8,7,5,4]=>[2,3,6,5,9,7,8,10,4,1] [[1,3,4,5,9],[2,6,7,8,10]]=>[2,6,7,8,10,1,3,4,5,9]=>[9,5,4,3,1,10,8,7,6,2]=>[3,4,5,9,6,7,8,10,2,1] [[1,3,4,5,8],[2,6,7,9,10]]=>[2,6,7,9,10,1,3,4,5,8]=>[9,5,4,2,1,10,8,7,6,3]=>[2,4,5,9,6,7,8,10,1,3] [[1,3,4,5,7],[2,6,8,9,10]]=>[2,6,8,9,10,1,3,4,5,7]=>[9,5,3,2,1,10,8,7,6,4]=>[2,3,5,9,6,7,8,10,4,1] [[1,3,4,5,6],[2,7,8,9,10]]=>[2,7,8,9,10,1,3,4,5,6]=>[9,4,3,2,1,10,8,7,6,5]=>[2,3,4,9,6,7,8,10,1,5] [[1,2,5,7,9],[3,4,6,8,10]]=>[3,4,6,8,10,1,2,5,7,9]=>[8,7,5,3,1,10,9,6,4,2]=>[3,5,4,7,6,8,9,2,10,1] [[1,2,5,7,8],[3,4,6,9,10]]=>[3,4,6,9,10,1,2,5,7,8]=>[8,7,5,2,1,10,9,6,4,3]=>[2,5,4,7,6,8,9,1,10,3] [[1,2,5,6,9],[3,4,7,8,10]]=>[3,4,7,8,10,1,2,5,6,9]=>[8,7,4,3,1,10,9,6,5,2]=>[3,4,7,5,6,8,9,2,10,1] [[1,2,5,6,8],[3,4,7,9,10]]=>[3,4,7,9,10,1,2,5,6,8]=>[8,7,4,2,1,10,9,6,5,3]=>[2,4,7,5,6,8,9,1,10,3] [[1,2,5,6,7],[3,4,8,9,10]]=>[3,4,8,9,10,1,2,5,6,7]=>[8,7,3,2,1,10,9,6,5,4]=>[2,3,7,5,6,8,9,4,10,1] [[1,2,4,7,9],[3,5,6,8,10]]=>[3,5,6,8,10,1,2,4,7,9]=>[8,6,5,3,1,10,9,7,4,2]=>[3,5,4,6,8,7,9,2,10,1] [[1,2,4,7,8],[3,5,6,9,10]]=>[3,5,6,9,10,1,2,4,7,8]=>[8,6,5,2,1,10,9,7,4,3]=>[2,5,4,6,8,7,9,1,10,3] [[1,2,4,6,9],[3,5,7,8,10]]=>[3,5,7,8,10,1,2,4,6,9]=>[8,6,4,3,1,10,9,7,5,2]=>[3,4,6,5,8,7,9,2,10,1] [[1,2,4,6,8],[3,5,7,9,10]]=>[3,5,7,9,10,1,2,4,6,8]=>[8,6,4,2,1,10,9,7,5,3]=>[2,4,6,5,8,7,9,1,10,3] [[1,2,4,6,7],[3,5,8,9,10]]=>[3,5,8,9,10,1,2,4,6,7]=>[8,6,3,2,1,10,9,7,5,4]=>[2,3,6,5,8,7,9,4,10,1] [[1,2,4,5,9],[3,6,7,8,10]]=>[3,6,7,8,10,1,2,4,5,9]=>[8,5,4,3,1,10,9,7,6,2]=>[3,4,5,8,6,7,9,2,10,1] [[1,2,4,5,8],[3,6,7,9,10]]=>[3,6,7,9,10,1,2,4,5,8]=>[8,5,4,2,1,10,9,7,6,3]=>[2,4,5,8,6,7,9,1,10,3] [[1,2,4,5,7],[3,6,8,9,10]]=>[3,6,8,9,10,1,2,4,5,7]=>[8,5,3,2,1,10,9,7,6,4]=>[2,3,5,8,6,7,9,4,10,1] [[1,2,4,5,6],[3,7,8,9,10]]=>[3,7,8,9,10,1,2,4,5,6]=>[8,4,3,2,1,10,9,7,6,5]=>[2,3,4,8,6,7,9,1,10,5] [[1,2,3,7,9],[4,5,6,8,10]]=>[4,5,6,8,10,1,2,3,7,9]=>[7,6,5,3,1,10,9,8,4,2]=>[3,5,4,6,7,8,2,9,10,1] [[1,2,3,7,8],[4,5,6,9,10]]=>[4,5,6,9,10,1,2,3,7,8]=>[7,6,5,2,1,10,9,8,4,3]=>[2,5,4,6,7,8,1,9,10,3] [[1,2,3,6,9],[4,5,7,8,10]]=>[4,5,7,8,10,1,2,3,6,9]=>[7,6,4,3,1,10,9,8,5,2]=>[3,4,6,5,7,8,2,9,10,1] [[1,2,3,6,8],[4,5,7,9,10]]=>[4,5,7,9,10,1,2,3,6,8]=>[7,6,4,2,1,10,9,8,5,3]=>[2,4,6,5,7,8,1,9,10,3] [[1,2,3,6,7],[4,5,8,9,10]]=>[4,5,8,9,10,1,2,3,6,7]=>[7,6,3,2,1,10,9,8,5,4]=>[2,3,6,5,7,8,4,9,10,1] [[1,2,3,5,9],[4,6,7,8,10]]=>[4,6,7,8,10,1,2,3,5,9]=>[7,5,4,3,1,10,9,8,6,2]=>[3,4,5,7,6,8,2,9,10,1] [[1,2,3,5,8],[4,6,7,9,10]]=>[4,6,7,9,10,1,2,3,5,8]=>[7,5,4,2,1,10,9,8,6,3]=>[2,4,5,7,6,8,1,9,10,3] [[1,2,3,5,7],[4,6,8,9,10]]=>[4,6,8,9,10,1,2,3,5,7]=>[7,5,3,2,1,10,9,8,6,4]=>[2,3,5,7,6,8,4,9,10,1] [[1,2,3,5,6],[4,7,8,9,10]]=>[4,7,8,9,10,1,2,3,5,6]=>[7,4,3,2,1,10,9,8,6,5]=>[2,3,4,7,6,8,1,9,10,5] [[1,2,3,4,9],[5,6,7,8,10]]=>[5,6,7,8,10,1,2,3,4,9]=>[6,5,4,3,1,10,9,8,7,2]=>[3,4,5,6,7,2,8,9,10,1] [[1,2,3,4,8],[5,6,7,9,10]]=>[5,6,7,9,10,1,2,3,4,8]=>[6,5,4,2,1,10,9,8,7,3]=>[2,4,5,6,7,1,8,9,10,3] [[1,2,3,4,7],[5,6,8,9,10]]=>[5,6,8,9,10,1,2,3,4,7]=>[6,5,3,2,1,10,9,8,7,4]=>[2,3,5,6,7,4,8,9,10,1] [[1,2,3,4,6],[5,7,8,9,10]]=>[5,7,8,9,10,1,2,3,4,6]=>[6,4,3,2,1,10,9,8,7,5]=>[2,3,4,6,7,1,8,9,10,5] [[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>[2,3,4,5,1,7,8,9,10,6] [[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[11,9,7,5,3,1,12,10,8,6,4,2]=>[3,5,4,7,6,9,8,11,10,12,1,2] [[1,3,5,7,9,10],[2,4,6,8,11,12]]=>[2,4,6,8,11,12,1,3,5,7,9,10]=>[11,9,7,5,2,1,12,10,8,6,4,3]=>[2,5,4,7,6,9,8,11,10,12,3,1] [[1,3,5,7,8,11],[2,4,6,9,10,12]]=>[2,4,6,9,10,12,1,3,5,7,8,11]=>[11,9,7,4,3,1,12,10,8,6,5,2]=>[3,4,7,5,6,9,8,11,10,12,1,2] [[1,3,5,7,8,10],[2,4,6,9,11,12]]=>[2,4,6,9,11,12,1,3,5,7,8,10]=>[11,9,7,4,2,1,12,10,8,6,5,3]=>[2,4,7,5,6,9,8,11,10,12,3,1] [[1,3,5,7,8,9],[2,4,6,10,11,12]]=>[2,4,6,10,11,12,1,3,5,7,8,9]=>[11,9,7,3,2,1,12,10,8,6,5,4]=>[2,3,7,5,6,9,8,11,10,12,1,4] [[1,3,5,6,9,11],[2,4,7,8,10,12]]=>[2,4,7,8,10,12,1,3,5,6,9,11]=>[11,9,6,5,3,1,12,10,8,7,4,2]=>[3,5,4,6,9,7,8,11,10,12,1,2] [[1,3,5,6,9,10],[2,4,7,8,11,12]]=>[2,4,7,8,11,12,1,3,5,6,9,10]=>[11,9,6,5,2,1,12,10,8,7,4,3]=>[2,5,4,6,9,7,8,11,10,12,3,1] [[1,3,5,6,8,11],[2,4,7,9,10,12]]=>[2,4,7,9,10,12,1,3,5,6,8,11]=>[11,9,6,4,3,1,12,10,8,7,5,2]=>[3,4,6,5,9,7,8,11,10,12,1,2] [[1,3,5,6,8,10],[2,4,7,9,11,12]]=>[2,4,7,9,11,12,1,3,5,6,8,10]=>[11,9,6,4,2,1,12,10,8,7,5,3]=>[2,4,6,5,9,7,8,11,10,12,3,1] [[1,3,5,6,8,9],[2,4,7,10,11,12]]=>[2,4,7,10,11,12,1,3,5,6,8,9]=>[11,9,6,3,2,1,12,10,8,7,5,4]=>[2,3,6,5,9,7,8,11,10,12,1,4] [[1,3,5,6,7,11],[2,4,8,9,10,12]]=>[2,4,8,9,10,12,1,3,5,6,7,11]=>[11,9,5,4,3,1,12,10,8,7,6,2]=>[3,4,5,9,6,7,8,11,10,12,1,2] [[1,3,5,6,7,10],[2,4,8,9,11,12]]=>[2,4,8,9,11,12,1,3,5,6,7,10]=>[11,9,5,4,2,1,12,10,8,7,6,3]=>[2,4,5,9,6,7,8,11,10,12,3,1] [[1,3,5,6,7,9],[2,4,8,10,11,12]]=>[2,4,8,10,11,12,1,3,5,6,7,9]=>[11,9,5,3,2,1,12,10,8,7,6,4]=>[2,3,5,9,6,7,8,11,10,12,1,4] [[1,3,5,6,7,8],[2,4,9,10,11,12]]=>[2,4,9,10,11,12,1,3,5,6,7,8]=>[11,9,4,3,2,1,12,10,8,7,6,5]=>[2,3,4,9,6,7,8,11,10,12,5,1] [[1,3,4,7,9,11],[2,5,6,8,10,12]]=>[2,5,6,8,10,12,1,3,4,7,9,11]=>[11,8,7,5,3,1,12,10,9,6,4,2]=>[3,5,4,7,6,8,11,9,10,12,1,2] [[1,3,4,7,9,10],[2,5,6,8,11,12]]=>[2,5,6,8,11,12,1,3,4,7,9,10]=>[11,8,7,5,2,1,12,10,9,6,4,3]=>[2,5,4,7,6,8,11,9,10,12,3,1] [[1,3,4,7,8,11],[2,5,6,9,10,12]]=>[2,5,6,9,10,12,1,3,4,7,8,11]=>[11,8,7,4,3,1,12,10,9,6,5,2]=>[3,4,7,5,6,8,11,9,10,12,1,2] [[1,3,4,7,8,10],[2,5,6,9,11,12]]=>[2,5,6,9,11,12,1,3,4,7,8,10]=>[11,8,7,4,2,1,12,10,9,6,5,3]=>[2,4,7,5,6,8,11,9,10,12,3,1] [[1,3,4,7,8,9],[2,5,6,10,11,12]]=>[2,5,6,10,11,12,1,3,4,7,8,9]=>[11,8,7,3,2,1,12,10,9,6,5,4]=>[2,3,7,5,6,8,11,9,10,12,1,4] [[1,3,4,6,9,11],[2,5,7,8,10,12]]=>[2,5,7,8,10,12,1,3,4,6,9,11]=>[11,8,6,5,3,1,12,10,9,7,4,2]=>[3,5,4,6,8,7,11,9,10,12,1,2] [[1,3,4,6,9,10],[2,5,7,8,11,12]]=>[2,5,7,8,11,12,1,3,4,6,9,10]=>[11,8,6,5,2,1,12,10,9,7,4,3]=>[2,5,4,6,8,7,11,9,10,12,3,1] [[1,3,4,6,8,11],[2,5,7,9,10,12]]=>[2,5,7,9,10,12,1,3,4,6,8,11]=>[11,8,6,4,3,1,12,10,9,7,5,2]=>[3,4,6,5,8,7,11,9,10,12,1,2] [[1,3,4,6,8,10],[2,5,7,9,11,12]]=>[2,5,7,9,11,12,1,3,4,6,8,10]=>[11,8,6,4,2,1,12,10,9,7,5,3]=>[2,4,6,5,8,7,11,9,10,12,3,1] [[1,3,4,6,8,9],[2,5,7,10,11,12]]=>[2,5,7,10,11,12,1,3,4,6,8,9]=>[11,8,6,3,2,1,12,10,9,7,5,4]=>[2,3,6,5,8,7,11,9,10,12,1,4] [[1,3,4,6,7,11],[2,5,8,9,10,12]]=>[2,5,8,9,10,12,1,3,4,6,7,11]=>[11,8,5,4,3,1,12,10,9,7,6,2]=>[3,4,5,8,6,7,11,9,10,12,1,2] [[1,3,4,6,7,10],[2,5,8,9,11,12]]=>[2,5,8,9,11,12,1,3,4,6,7,10]=>[11,8,5,4,2,1,12,10,9,7,6,3]=>[2,4,5,8,6,7,11,9,10,12,3,1] [[1,3,4,6,7,9],[2,5,8,10,11,12]]=>[2,5,8,10,11,12,1,3,4,6,7,9]=>[11,8,5,3,2,1,12,10,9,7,6,4]=>[2,3,5,8,6,7,11,9,10,12,1,4] [[1,3,4,6,7,8],[2,5,9,10,11,12]]=>[2,5,9,10,11,12,1,3,4,6,7,8]=>[11,8,4,3,2,1,12,10,9,7,6,5]=>[2,3,4,8,6,7,11,9,10,12,5,1] [[1,3,4,5,9,11],[2,6,7,8,10,12]]=>[2,6,7,8,10,12,1,3,4,5,9,11]=>[11,7,6,5,3,1,12,10,9,8,4,2]=>[3,5,4,6,7,11,8,9,10,12,1,2] [[1,3,4,5,9,10],[2,6,7,8,11,12]]=>[2,6,7,8,11,12,1,3,4,5,9,10]=>[11,7,6,5,2,1,12,10,9,8,4,3]=>[2,5,4,6,7,11,8,9,10,12,3,1] [[1,3,4,5,8,11],[2,6,7,9,10,12]]=>[2,6,7,9,10,12,1,3,4,5,8,11]=>[11,7,6,4,3,1,12,10,9,8,5,2]=>[3,4,6,5,7,11,8,9,10,12,1,2] [[1,3,4,5,8,10],[2,6,7,9,11,12]]=>[2,6,7,9,11,12,1,3,4,5,8,10]=>[11,7,6,4,2,1,12,10,9,8,5,3]=>[2,4,6,5,7,11,8,9,10,12,3,1] [[1,3,4,5,8,9],[2,6,7,10,11,12]]=>[2,6,7,10,11,12,1,3,4,5,8,9]=>[11,7,6,3,2,1,12,10,9,8,5,4]=>[2,3,6,5,7,11,8,9,10,12,1,4] [[1,3,4,5,7,11],[2,6,8,9,10,12]]=>[2,6,8,9,10,12,1,3,4,5,7,11]=>[11,7,5,4,3,1,12,10,9,8,6,2]=>[3,4,5,7,6,11,8,9,10,12,1,2] [[1,3,4,5,7,10],[2,6,8,9,11,12]]=>[2,6,8,9,11,12,1,3,4,5,7,10]=>[11,7,5,4,2,1,12,10,9,8,6,3]=>[2,4,5,7,6,11,8,9,10,12,3,1] [[1,3,4,5,7,9],[2,6,8,10,11,12]]=>[2,6,8,10,11,12,1,3,4,5,7,9]=>[11,7,5,3,2,1,12,10,9,8,6,4]=>[2,3,5,7,6,11,8,9,10,12,1,4] [[1,3,4,5,7,8],[2,6,9,10,11,12]]=>[2,6,9,10,11,12,1,3,4,5,7,8]=>[11,7,4,3,2,1,12,10,9,8,6,5]=>[2,3,4,7,6,11,8,9,10,12,5,1] [[1,3,4,5,6,11],[2,7,8,9,10,12]]=>[2,7,8,9,10,12,1,3,4,5,6,11]=>[11,6,5,4,3,1,12,10,9,8,7,2]=>[3,4,5,6,11,7,8,9,10,12,1,2] [[1,3,4,5,6,10],[2,7,8,9,11,12]]=>[2,7,8,9,11,12,1,3,4,5,6,10]=>[11,6,5,4,2,1,12,10,9,8,7,3]=>[2,4,5,6,11,7,8,9,10,12,3,1] [[1,3,4,5,6,9],[2,7,8,10,11,12]]=>[2,7,8,10,11,12,1,3,4,5,6,9]=>[11,6,5,3,2,1,12,10,9,8,7,4]=>[2,3,5,6,11,7,8,9,10,12,1,4] [[1,3,4,5,6,8],[2,7,9,10,11,12]]=>[2,7,9,10,11,12,1,3,4,5,6,8]=>[11,6,4,3,2,1,12,10,9,8,7,5]=>[2,3,4,6,11,7,8,9,10,12,5,1] [[1,3,4,5,6,7],[2,8,9,10,11,12]]=>[2,8,9,10,11,12,1,3,4,5,6,7]=>[11,5,4,3,2,1,12,10,9,8,7,6]=>[2,3,4,5,11,7,8,9,10,12,1,6] [[1,2,5,7,9,11],[3,4,6,8,10,12]]=>[3,4,6,8,10,12,1,2,5,7,9,11]=>[10,9,7,5,3,1,12,11,8,6,4,2]=>[3,5,4,7,6,9,8,10,11,1,12,2] [[1,2,5,7,9,10],[3,4,6,8,11,12]]=>[3,4,6,8,11,12,1,2,5,7,9,10]=>[10,9,7,5,2,1,12,11,8,6,4,3]=>[2,5,4,7,6,9,8,10,11,3,12,1] [[1,2,5,7,8,11],[3,4,6,9,10,12]]=>[3,4,6,9,10,12,1,2,5,7,8,11]=>[10,9,7,4,3,1,12,11,8,6,5,2]=>[3,4,7,5,6,9,8,10,11,1,12,2] [[1,2,5,7,8,10],[3,4,6,9,11,12]]=>[3,4,6,9,11,12,1,2,5,7,8,10]=>[10,9,7,4,2,1,12,11,8,6,5,3]=>[2,4,7,5,6,9,8,10,11,3,12,1] [[1,2,5,7,8,9],[3,4,6,10,11,12]]=>[3,4,6,10,11,12,1,2,5,7,8,9]=>[10,9,7,3,2,1,12,11,8,6,5,4]=>[2,3,7,5,6,9,8,10,11,1,12,4] [[1,2,5,6,9,11],[3,4,7,8,10,12]]=>[3,4,7,8,10,12,1,2,5,6,9,11]=>[10,9,6,5,3,1,12,11,8,7,4,2]=>[3,5,4,6,9,7,8,10,11,1,12,2] [[1,2,5,6,9,10],[3,4,7,8,11,12]]=>[3,4,7,8,11,12,1,2,5,6,9,10]=>[10,9,6,5,2,1,12,11,8,7,4,3]=>[2,5,4,6,9,7,8,10,11,3,12,1] [[1,2,5,6,8,11],[3,4,7,9,10,12]]=>[3,4,7,9,10,12,1,2,5,6,8,11]=>[10,9,6,4,3,1,12,11,8,7,5,2]=>[3,4,6,5,9,7,8,10,11,1,12,2] [[1,2,5,6,8,10],[3,4,7,9,11,12]]=>[3,4,7,9,11,12,1,2,5,6,8,10]=>[10,9,6,4,2,1,12,11,8,7,5,3]=>[2,4,6,5,9,7,8,10,11,3,12,1] [[1,2,5,6,8,9],[3,4,7,10,11,12]]=>[3,4,7,10,11,12,1,2,5,6,8,9]=>[10,9,6,3,2,1,12,11,8,7,5,4]=>[2,3,6,5,9,7,8,10,11,1,12,4] [[1,2,5,6,7,11],[3,4,8,9,10,12]]=>[3,4,8,9,10,12,1,2,5,6,7,11]=>[10,9,5,4,3,1,12,11,8,7,6,2]=>[3,4,5,9,6,7,8,10,11,1,12,2] [[1,2,5,6,7,10],[3,4,8,9,11,12]]=>[3,4,8,9,11,12,1,2,5,6,7,10]=>[10,9,5,4,2,1,12,11,8,7,6,3]=>[2,4,5,9,6,7,8,10,11,3,12,1] [[1,2,5,6,7,9],[3,4,8,10,11,12]]=>[3,4,8,10,11,12,1,2,5,6,7,9]=>[10,9,5,3,2,1,12,11,8,7,6,4]=>[2,3,5,9,6,7,8,10,11,1,12,4] [[1,2,5,6,7,8],[3,4,9,10,11,12]]=>[3,4,9,10,11,12,1,2,5,6,7,8]=>[10,9,4,3,2,1,12,11,8,7,6,5]=>[2,3,4,9,6,7,8,10,11,5,12,1] [[1,2,4,7,9,11],[3,5,6,8,10,12]]=>[3,5,6,8,10,12,1,2,4,7,9,11]=>[10,8,7,5,3,1,12,11,9,6,4,2]=>[3,5,4,7,6,8,10,9,11,1,12,2] [[1,2,4,7,9,10],[3,5,6,8,11,12]]=>[3,5,6,8,11,12,1,2,4,7,9,10]=>[10,8,7,5,2,1,12,11,9,6,4,3]=>[2,5,4,7,6,8,10,9,11,3,12,1] [[1,2,4,7,8,11],[3,5,6,9,10,12]]=>[3,5,6,9,10,12,1,2,4,7,8,11]=>[10,8,7,4,3,1,12,11,9,6,5,2]=>[3,4,7,5,6,8,10,9,11,1,12,2] [[1,2,4,7,8,10],[3,5,6,9,11,12]]=>[3,5,6,9,11,12,1,2,4,7,8,10]=>[10,8,7,4,2,1,12,11,9,6,5,3]=>[2,4,7,5,6,8,10,9,11,3,12,1] [[1,2,4,7,8,9],[3,5,6,10,11,12]]=>[3,5,6,10,11,12,1,2,4,7,8,9]=>[10,8,7,3,2,1,12,11,9,6,5,4]=>[2,3,7,5,6,8,10,9,11,1,12,4] [[1,2,4,6,9,11],[3,5,7,8,10,12]]=>[3,5,7,8,10,12,1,2,4,6,9,11]=>[10,8,6,5,3,1,12,11,9,7,4,2]=>[3,5,4,6,8,7,10,9,11,1,12,2] [[1,2,4,6,9,10],[3,5,7,8,11,12]]=>[3,5,7,8,11,12,1,2,4,6,9,10]=>[10,8,6,5,2,1,12,11,9,7,4,3]=>[2,5,4,6,8,7,10,9,11,3,12,1] [[1,2,4,6,8,11],[3,5,7,9,10,12]]=>[3,5,7,9,10,12,1,2,4,6,8,11]=>[10,8,6,4,3,1,12,11,9,7,5,2]=>[3,4,6,5,8,7,10,9,11,1,12,2] [[1,2,4,6,8,10],[3,5,7,9,11,12]]=>[3,5,7,9,11,12,1,2,4,6,8,10]=>[10,8,6,4,2,1,12,11,9,7,5,3]=>[2,4,6,5,8,7,10,9,11,3,12,1] [[1,2,4,6,8,9],[3,5,7,10,11,12]]=>[3,5,7,10,11,12,1,2,4,6,8,9]=>[10,8,6,3,2,1,12,11,9,7,5,4]=>[2,3,6,5,8,7,10,9,11,1,12,4] [[1,2,4,6,7,11],[3,5,8,9,10,12]]=>[3,5,8,9,10,12,1,2,4,6,7,11]=>[10,8,5,4,3,1,12,11,9,7,6,2]=>[3,4,5,8,6,7,10,9,11,1,12,2] [[1,2,4,6,7,10],[3,5,8,9,11,12]]=>[3,5,8,9,11,12,1,2,4,6,7,10]=>[10,8,5,4,2,1,12,11,9,7,6,3]=>[2,4,5,8,6,7,10,9,11,3,12,1] [[1,2,4,6,7,9],[3,5,8,10,11,12]]=>[3,5,8,10,11,12,1,2,4,6,7,9]=>[10,8,5,3,2,1,12,11,9,7,6,4]=>[2,3,5,8,6,7,10,9,11,1,12,4] [[1,2,4,6,7,8],[3,5,9,10,11,12]]=>[3,5,9,10,11,12,1,2,4,6,7,8]=>[10,8,4,3,2,1,12,11,9,7,6,5]=>[2,3,4,8,6,7,10,9,11,5,12,1] [[1,2,4,5,9,11],[3,6,7,8,10,12]]=>[3,6,7,8,10,12,1,2,4,5,9,11]=>[10,7,6,5,3,1,12,11,9,8,4,2]=>[3,5,4,6,7,10,8,9,11,1,12,2] [[1,2,4,5,9,10],[3,6,7,8,11,12]]=>[3,6,7,8,11,12,1,2,4,5,9,10]=>[10,7,6,5,2,1,12,11,9,8,4,3]=>[2,5,4,6,7,10,8,9,11,3,12,1] [[1,2,4,5,8,11],[3,6,7,9,10,12]]=>[3,6,7,9,10,12,1,2,4,5,8,11]=>[10,7,6,4,3,1,12,11,9,8,5,2]=>[3,4,6,5,7,10,8,9,11,1,12,2] [[1,2,4,5,8,10],[3,6,7,9,11,12]]=>[3,6,7,9,11,12,1,2,4,5,8,10]=>[10,7,6,4,2,1,12,11,9,8,5,3]=>[2,4,6,5,7,10,8,9,11,3,12,1] [[1,2,4,5,8,9],[3,6,7,10,11,12]]=>[3,6,7,10,11,12,1,2,4,5,8,9]=>[10,7,6,3,2,1,12,11,9,8,5,4]=>[2,3,6,5,7,10,8,9,11,1,12,4] [[1,2,4,5,7,11],[3,6,8,9,10,12]]=>[3,6,8,9,10,12,1,2,4,5,7,11]=>[10,7,5,4,3,1,12,11,9,8,6,2]=>[3,4,5,7,6,10,8,9,11,1,12,2] [[1,2,4,5,7,10],[3,6,8,9,11,12]]=>[3,6,8,9,11,12,1,2,4,5,7,10]=>[10,7,5,4,2,1,12,11,9,8,6,3]=>[2,4,5,7,6,10,8,9,11,3,12,1] [[1,2,4,5,7,9],[3,6,8,10,11,12]]=>[3,6,8,10,11,12,1,2,4,5,7,9]=>[10,7,5,3,2,1,12,11,9,8,6,4]=>[2,3,5,7,6,10,8,9,11,1,12,4] [[1,2,4,5,7,8],[3,6,9,10,11,12]]=>[3,6,9,10,11,12,1,2,4,5,7,8]=>[10,7,4,3,2,1,12,11,9,8,6,5]=>[2,3,4,7,6,10,8,9,11,5,12,1] [[1,2,4,5,6,11],[3,7,8,9,10,12]]=>[3,7,8,9,10,12,1,2,4,5,6,11]=>[10,6,5,4,3,1,12,11,9,8,7,2]=>[3,4,5,6,10,7,8,9,11,1,12,2] [[1,2,4,5,6,10],[3,7,8,9,11,12]]=>[3,7,8,9,11,12,1,2,4,5,6,10]=>[10,6,5,4,2,1,12,11,9,8,7,3]=>[2,4,5,6,10,7,8,9,11,3,12,1] [[1,2,4,5,6,9],[3,7,8,10,11,12]]=>[3,7,8,10,11,12,1,2,4,5,6,9]=>[10,6,5,3,2,1,12,11,9,8,7,4]=>[2,3,5,6,10,7,8,9,11,1,12,4] [[1,2,4,5,6,8],[3,7,9,10,11,12]]=>[3,7,9,10,11,12,1,2,4,5,6,8]=>[10,6,4,3,2,1,12,11,9,8,7,5]=>[2,3,4,6,10,7,8,9,11,5,12,1] [[1,2,4,5,6,7],[3,8,9,10,11,12]]=>[3,8,9,10,11,12,1,2,4,5,6,7]=>[10,5,4,3,2,1,12,11,9,8,7,6]=>[2,3,4,5,10,7,8,9,11,1,12,6] [[1,2,3,7,9,11],[4,5,6,8,10,12]]=>[4,5,6,8,10,12,1,2,3,7,9,11]=>[9,8,7,5,3,1,12,11,10,6,4,2]=>[3,5,4,7,6,8,9,10,1,11,12,2] [[1,2,3,7,9,10],[4,5,6,8,11,12]]=>[4,5,6,8,11,12,1,2,3,7,9,10]=>[9,8,7,5,2,1,12,11,10,6,4,3]=>[2,5,4,7,6,8,9,10,3,11,12,1] [[1,2,3,7,8,11],[4,5,6,9,10,12]]=>[4,5,6,9,10,12,1,2,3,7,8,11]=>[9,8,7,4,3,1,12,11,10,6,5,2]=>[3,4,7,5,6,8,9,10,1,11,12,2] [[1,2,3,7,8,10],[4,5,6,9,11,12]]=>[4,5,6,9,11,12,1,2,3,7,8,10]=>[9,8,7,4,2,1,12,11,10,6,5,3]=>[2,4,7,5,6,8,9,10,3,11,12,1] [[1,2,3,7,8,9],[4,5,6,10,11,12]]=>[4,5,6,10,11,12,1,2,3,7,8,9]=>[9,8,7,3,2,1,12,11,10,6,5,4]=>[2,3,7,5,6,8,9,10,1,11,12,4] [[1,2,3,6,9,11],[4,5,7,8,10,12]]=>[4,5,7,8,10,12,1,2,3,6,9,11]=>[9,8,6,5,3,1,12,11,10,7,4,2]=>[3,5,4,6,8,7,9,10,1,11,12,2] [[1,2,3,6,9,10],[4,5,7,8,11,12]]=>[4,5,7,8,11,12,1,2,3,6,9,10]=>[9,8,6,5,2,1,12,11,10,7,4,3]=>[2,5,4,6,8,7,9,10,3,11,12,1] [[1,2,3,6,8,11],[4,5,7,9,10,12]]=>[4,5,7,9,10,12,1,2,3,6,8,11]=>[9,8,6,4,3,1,12,11,10,7,5,2]=>[3,4,6,5,8,7,9,10,1,11,12,2] [[1,2,3,6,8,10],[4,5,7,9,11,12]]=>[4,5,7,9,11,12,1,2,3,6,8,10]=>[9,8,6,4,2,1,12,11,10,7,5,3]=>[2,4,6,5,8,7,9,10,3,11,12,1] [[1,2,3,6,8,9],[4,5,7,10,11,12]]=>[4,5,7,10,11,12,1,2,3,6,8,9]=>[9,8,6,3,2,1,12,11,10,7,5,4]=>[2,3,6,5,8,7,9,10,1,11,12,4] [[1,2,3,6,7,11],[4,5,8,9,10,12]]=>[4,5,8,9,10,12,1,2,3,6,7,11]=>[9,8,5,4,3,1,12,11,10,7,6,2]=>[3,4,5,8,6,7,9,10,1,11,12,2] [[1,2,3,6,7,10],[4,5,8,9,11,12]]=>[4,5,8,9,11,12,1,2,3,6,7,10]=>[9,8,5,4,2,1,12,11,10,7,6,3]=>[2,4,5,8,6,7,9,10,3,11,12,1] [[1,2,3,6,7,9],[4,5,8,10,11,12]]=>[4,5,8,10,11,12,1,2,3,6,7,9]=>[9,8,5,3,2,1,12,11,10,7,6,4]=>[2,3,5,8,6,7,9,10,1,11,12,4] [[1,2,3,6,7,8],[4,5,9,10,11,12]]=>[4,5,9,10,11,12,1,2,3,6,7,8]=>[9,8,4,3,2,1,12,11,10,7,6,5]=>[2,3,4,8,6,7,9,10,5,11,12,1] [[1,2,3,5,9,11],[4,6,7,8,10,12]]=>[4,6,7,8,10,12,1,2,3,5,9,11]=>[9,7,6,5,3,1,12,11,10,8,4,2]=>[3,5,4,6,7,9,8,10,1,11,12,2] [[1,2,3,5,9,10],[4,6,7,8,11,12]]=>[4,6,7,8,11,12,1,2,3,5,9,10]=>[9,7,6,5,2,1,12,11,10,8,4,3]=>[2,5,4,6,7,9,8,10,3,11,12,1] [[1,2,3,5,8,11],[4,6,7,9,10,12]]=>[4,6,7,9,10,12,1,2,3,5,8,11]=>[9,7,6,4,3,1,12,11,10,8,5,2]=>[3,4,6,5,7,9,8,10,1,11,12,2] [[1,2,3,5,8,10],[4,6,7,9,11,12]]=>[4,6,7,9,11,12,1,2,3,5,8,10]=>[9,7,6,4,2,1,12,11,10,8,5,3]=>[2,4,6,5,7,9,8,10,3,11,12,1] [[1,2,3,5,8,9],[4,6,7,10,11,12]]=>[4,6,7,10,11,12,1,2,3,5,8,9]=>[9,7,6,3,2,1,12,11,10,8,5,4]=>[2,3,6,5,7,9,8,10,1,11,12,4] [[1,2,3,5,7,11],[4,6,8,9,10,12]]=>[4,6,8,9,10,12,1,2,3,5,7,11]=>[9,7,5,4,3,1,12,11,10,8,6,2]=>[3,4,5,7,6,9,8,10,1,11,12,2] [[1,2,3,5,7,10],[4,6,8,9,11,12]]=>[4,6,8,9,11,12,1,2,3,5,7,10]=>[9,7,5,4,2,1,12,11,10,8,6,3]=>[2,4,5,7,6,9,8,10,3,11,12,1] [[1,2,3,5,7,9],[4,6,8,10,11,12]]=>[4,6,8,10,11,12,1,2,3,5,7,9]=>[9,7,5,3,2,1,12,11,10,8,6,4]=>[2,3,5,7,6,9,8,10,1,11,12,4] [[1,2,3,5,7,8],[4,6,9,10,11,12]]=>[4,6,9,10,11,12,1,2,3,5,7,8]=>[9,7,4,3,2,1,12,11,10,8,6,5]=>[2,3,4,7,6,9,8,10,5,11,12,1] [[1,2,3,5,6,11],[4,7,8,9,10,12]]=>[4,7,8,9,10,12,1,2,3,5,6,11]=>[9,6,5,4,3,1,12,11,10,8,7,2]=>[3,4,5,6,9,7,8,10,1,11,12,2] [[1,2,3,5,6,10],[4,7,8,9,11,12]]=>[4,7,8,9,11,12,1,2,3,5,6,10]=>[9,6,5,4,2,1,12,11,10,8,7,3]=>[2,4,5,6,9,7,8,10,3,11,12,1] [[1,2,3,5,6,9],[4,7,8,10,11,12]]=>[4,7,8,10,11,12,1,2,3,5,6,9]=>[9,6,5,3,2,1,12,11,10,8,7,4]=>[2,3,5,6,9,7,8,10,1,11,12,4] [[1,2,3,5,6,8],[4,7,9,10,11,12]]=>[4,7,9,10,11,12,1,2,3,5,6,8]=>[9,6,4,3,2,1,12,11,10,8,7,5]=>[2,3,4,6,9,7,8,10,5,11,12,1] [[1,2,3,5,6,7],[4,8,9,10,11,12]]=>[4,8,9,10,11,12,1,2,3,5,6,7]=>[9,5,4,3,2,1,12,11,10,8,7,6]=>[2,3,4,5,9,7,8,10,1,11,12,6] [[1,2,3,4,9,11],[5,6,7,8,10,12]]=>[5,6,7,8,10,12,1,2,3,4,9,11]=>[8,7,6,5,3,1,12,11,10,9,4,2]=>[3,5,4,6,7,8,9,1,10,11,12,2] [[1,2,3,4,9,10],[5,6,7,8,11,12]]=>[5,6,7,8,11,12,1,2,3,4,9,10]=>[8,7,6,5,2,1,12,11,10,9,4,3]=>[2,5,4,6,7,8,9,3,10,11,12,1] [[1,2,3,4,8,11],[5,6,7,9,10,12]]=>[5,6,7,9,10,12,1,2,3,4,8,11]=>[8,7,6,4,3,1,12,11,10,9,5,2]=>[3,4,6,5,7,8,9,1,10,11,12,2] [[1,2,3,4,8,10],[5,6,7,9,11,12]]=>[5,6,7,9,11,12,1,2,3,4,8,10]=>[8,7,6,4,2,1,12,11,10,9,5,3]=>[2,4,6,5,7,8,9,3,10,11,12,1] [[1,2,3,4,8,9],[5,6,7,10,11,12]]=>[5,6,7,10,11,12,1,2,3,4,8,9]=>[8,7,6,3,2,1,12,11,10,9,5,4]=>[2,3,6,5,7,8,9,1,10,11,12,4] [[1,2,3,4,7,11],[5,6,8,9,10,12]]=>[5,6,8,9,10,12,1,2,3,4,7,11]=>[8,7,5,4,3,1,12,11,10,9,6,2]=>[3,4,5,7,6,8,9,1,10,11,12,2] [[1,2,3,4,7,10],[5,6,8,9,11,12]]=>[5,6,8,9,11,12,1,2,3,4,7,10]=>[8,7,5,4,2,1,12,11,10,9,6,3]=>[2,4,5,7,6,8,9,3,10,11,12,1] [[1,2,3,4,7,9],[5,6,8,10,11,12]]=>[5,6,8,10,11,12,1,2,3,4,7,9]=>[8,7,5,3,2,1,12,11,10,9,6,4]=>[2,3,5,7,6,8,9,1,10,11,12,4] [[1,2,3,4,7,8],[5,6,9,10,11,12]]=>[5,6,9,10,11,12,1,2,3,4,7,8]=>[8,7,4,3,2,1,12,11,10,9,6,5]=>[2,3,4,7,6,8,9,5,10,11,12,1] [[1,2,3,4,6,11],[5,7,8,9,10,12]]=>[5,7,8,9,10,12,1,2,3,4,6,11]=>[8,6,5,4,3,1,12,11,10,9,7,2]=>[3,4,5,6,8,7,9,1,10,11,12,2] [[1,2,3,4,6,10],[5,7,8,9,11,12]]=>[5,7,8,9,11,12,1,2,3,4,6,10]=>[8,6,5,4,2,1,12,11,10,9,7,3]=>[2,4,5,6,8,7,9,3,10,11,12,1] [[1,2,3,4,6,9],[5,7,8,10,11,12]]=>[5,7,8,10,11,12,1,2,3,4,6,9]=>[8,6,5,3,2,1,12,11,10,9,7,4]=>[2,3,5,6,8,7,9,1,10,11,12,4] [[1,2,3,4,6,8],[5,7,9,10,11,12]]=>[5,7,9,10,11,12,1,2,3,4,6,8]=>[8,6,4,3,2,1,12,11,10,9,7,5]=>[2,3,4,6,8,7,9,5,10,11,12,1] [[1,2,3,4,6,7],[5,8,9,10,11,12]]=>[5,8,9,10,11,12,1,2,3,4,6,7]=>[8,5,4,3,2,1,12,11,10,9,7,6]=>[2,3,4,5,8,7,9,1,10,11,12,6] [[1,2,3,4,5,11],[6,7,8,9,10,12]]=>[6,7,8,9,10,12,1,2,3,4,5,11]=>[7,6,5,4,3,1,12,11,10,9,8,2]=>[3,4,5,6,7,8,1,9,10,11,12,2] [[1,2,3,4,5,10],[6,7,8,9,11,12]]=>[6,7,8,9,11,12,1,2,3,4,5,10]=>[7,6,5,4,2,1,12,11,10,9,8,3]=>[2,4,5,6,7,8,3,9,10,11,12,1] [[1,2,3,4,5,9],[6,7,8,10,11,12]]=>[6,7,8,10,11,12,1,2,3,4,5,9]=>[7,6,5,3,2,1,12,11,10,9,8,4]=>[2,3,5,6,7,8,1,9,10,11,12,4] [[1,2,3,4,5,8],[6,7,9,10,11,12]]=>[6,7,9,10,11,12,1,2,3,4,5,8]=>[7,6,4,3,2,1,12,11,10,9,8,5]=>[2,3,4,6,7,8,5,9,10,11,12,1] [[1,2,3,4,5,7],[6,8,9,10,11,12]]=>[6,8,9,10,11,12,1,2,3,4,5,7]=>[7,5,4,3,2,1,12,11,10,9,8,6]=>[2,3,4,5,7,8,1,9,10,11,12,6] [[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[2,3,4,5,6,1,8,9,10,11,12,7] [[1,2,3,4,5,6,7,8,9]]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1] [[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[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]]=>[8,9,1,2,3,4,5,6,7]=>[2,1,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,3] [[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>[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]]=>[7,8,9,1,2,3,4,5,6]=>[3,2,1,9,8,7,6,5,4]=>[2,3,1,5,6,7,8,9,4] [[1,2,3,4,5,6],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6]=>[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]]=>[6,7,8,9,1,2,3,4,5]=>[4,3,2,1,9,8,7,6,5]=>[2,3,4,1,6,7,8,9,5] [[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]]=>[9,8,7,6,5,1,2,3,4]=>[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]]=>[7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7]=>[2,3,1,5,6,4,8,9,7] [[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3]=>[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]]=>[9,7,8,5,6,3,4,1,2]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8] [[1,2],[3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8] [[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8] [[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9] [[1,2,3,4,5,6,7,8,9,10]]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1] [[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[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]]=>[9,10,1,2,3,4,5,6,7,8]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,3] [[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[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]]=>[8,9,10,1,2,3,4,5,6,7]=>[3,2,1,10,9,8,7,6,5,4]=>[2,3,1,5,6,7,8,9,10,4] [[1,2,3,4,5,6,7],[8],[9],[10]]=>[10,9,8,1,2,3,4,5,6,7]=>[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]]=>[7,8,9,10,1,2,3,4,5,6]=>[4,3,2,1,10,9,8,7,6,5]=>[2,3,4,1,6,7,8,9,10,5] [[1,2,3,4,5,6],[7,8],[9,10]]=>[9,10,7,8,1,2,3,4,5,6]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,6,7,8,9,10,5] [[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,10,9,8,7,6,5]=>[1,2,3,4,6,7,8,9,10,5] [[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,10,9,8,7,6]=>[1,2,3,4,5,7,8,9,10,6] [[1,2,3,4],[5,6,7,8],[9,10]]=>[9,10,5,6,7,8,1,2,3,4]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,4,5,6,3,8,9,10,7] [[1,2,3,4],[5,6,7],[8,9],[10]]=>[10,8,9,5,6,7,1,2,3,4]=>[1,3,2,6,5,4,10,9,8,7]=>[1,3,2,5,6,4,8,9,10,7] [[1,2,3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,1,2,3,4]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,8,9,10,7] [[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,10,9,8,7]=>[1,2,3,4,5,6,8,9,10,7] [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,9,10,8] [[1,2],[3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9] [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9] [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10] [[1,2,3,4,5,6,7,8,9,10,11,12]]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,11,12,1] [[1,2,3,4,5,6],[7,8,9,10],[11,12]]=>[11,12,7,8,9,10,1,2,3,4,5,6]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,4,5,6,3,8,9,10,11,12,7] [[1,2,3,4],[5,6,7,8],[9,10],[11,12]]=>[11,12,9,10,5,6,7,8,1,2,3,4]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,6,7,8,5,10,11,12,9] [[1,2,3,4],[5,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,5,6,1,2,3,4]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,10,11,12,9] [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11] [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12] [[1,3,4,5,6,7,8,9],[2]]=>[2,1,3,4,5,6,7,8,9]=>[8,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,8,1] [[1,4,5,6,7,8,9],[2],[3]]=>[3,2,1,4,5,6,7,8,9]=>[7,8,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,7,8,1] [[1,5,6,7,8,9],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9]=>[6,7,8,9,5,4,3,2,1]=>[2,3,4,5,9,6,7,8,1] [[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[2,3,4,9,5,6,7,8,1] [[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9]=>[4,5,6,7,8,9,3,2,1]=>[2,3,9,4,5,6,7,8,1] [[1,2,9],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9]=>[3,2,5,4,7,6,9,8,1]=>[8,3,2,5,4,7,6,9,1] [[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9]=>[3,4,5,6,7,8,9,2,1]=>[2,9,3,4,5,6,7,8,1] [[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1] [[1,3,4,5,6,7,8,9,10],[2]]=>[2,1,3,4,5,6,7,8,9,10]=>[9,10,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,10,9,1] [[1,4,5,6,7,8,9,10],[2],[3]]=>[3,2,1,4,5,6,7,8,9,10]=>[8,9,10,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,10,8,9,1] [[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9,10]=>[7,8,9,10,6,5,4,3,2,1]=>[2,3,4,5,6,10,7,8,9,1] [[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9,10]=>[6,7,8,9,10,5,4,3,2,1]=>[2,3,4,5,10,6,7,8,9,1] [[1,5,8,9,10],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9,10]=>[5,7,8,9,4,10,6,3,2,1]=>[2,3,6,10,5,9,7,8,1,4] [[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9,10]=>[5,6,7,8,9,10,4,3,2,1]=>[2,3,4,10,5,6,7,8,9,1] [[1,4,9,10],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9,10]=>[4,6,8,3,9,5,10,7,2,1]=>[2,7,10,4,8,6,9,5,1,3] [[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9,10]=>[4,5,6,7,8,9,10,3,2,1]=>[2,3,10,4,5,6,7,8,9,1] [[1,3,10],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3,10]=>[3,5,2,7,4,9,6,10,8,1]=>[8,5,3,7,2,10,4,9,1,6] [[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9,10]=>[3,4,5,6,7,8,9,10,2,1]=>[2,10,3,4,5,6,7,8,9,1] [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1] [[1,8],[2,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,9,1,8]=>[3,4,5,6,7,8,1,9,2]=>[8,9,3,4,5,6,7,1,2] [[1,7],[2,8],[3,9],[4],[5],[6]]=>[6,5,4,3,9,2,8,1,7]=>[4,5,6,7,1,8,2,9,3]=>[7,8,9,4,5,6,1,2,3] [[1,7,9],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7,9]=>[4,5,6,7,8,2,9,3,1]=>[3,9,8,4,5,6,7,1,2] [[1,6],[2,7],[3,8],[4,9],[5]]=>[5,4,9,3,8,2,7,1,6]=>[5,6,1,7,2,8,3,9,4]=>[6,7,8,9,5,1,2,3,4] [[1,6,9],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6,9]=>[5,6,7,2,8,3,9,4,1]=>[4,9,7,8,5,6,3,1,2] [[1,6,8],[2,7,9],[3],[4],[5]]=>[5,4,3,2,7,9,1,6,8]=>[5,6,7,8,3,1,9,4,2]=>[3,8,4,9,5,6,7,2,1] [[1,6,8,9],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8,9]=>[5,6,7,8,3,9,4,2,1]=>[2,4,9,8,5,6,7,1,3] [[1,5,9],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5,9]=>[6,2,7,3,8,4,9,5,1]=>[5,9,6,7,8,3,4,1,2] [[1,5,8],[2,6,9],[3,7],[4]]=>[4,3,7,2,6,9,1,5,8]=>[6,7,3,8,4,1,9,5,2]=>[4,8,5,9,7,6,3,2,1] [[1,5,8,9],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8,9]=>[6,7,3,8,4,9,5,2,1]=>[2,5,9,7,8,6,4,1,3] [[1,5,7,9],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7,9]=>[6,7,8,4,2,9,5,3,1]=>[3,5,4,9,8,6,7,2,1] [[1,5,7,8,9],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8,9]=>[6,7,8,4,9,5,3,2,1]=>[2,3,5,9,8,6,7,1,4] [[1,4,7],[2,5,8],[3,6,9]]=>[3,6,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,6,3]=>[4,7,5,8,6,9,2,1,3] [[1,4,7,9],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7,9]=>[7,4,8,5,2,9,6,3,1]=>[3,6,5,9,8,7,2,1,4] [[1,4,7,8,9],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8,9]=>[7,4,8,5,9,6,3,2,1]=>[2,3,6,9,7,8,5,1,4] [[1,4,6,8],[2,5,7,9],[3]]=>[3,2,5,7,9,1,4,6,8]=>[7,8,5,3,1,9,6,4,2]=>[3,5,4,8,6,9,7,1,2] [[1,4,6,8,9],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8,9]=>[7,8,5,3,9,6,4,2,1]=>[2,4,6,5,9,8,7,3,1] [[1,4,6,7,8,9],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9]=>[7,8,5,9,6,4,3,2,1]=>[2,3,4,6,9,8,7,1,5] [[1,3,5,7,9],[2,4,6,8]]=>[2,4,6,8,1,3,5,7,9]=>[8,6,4,2,9,7,5,3,1]=>[3,5,4,7,6,9,8,1,2] [[1,3,5,7,8,9],[2,4,6]]=>[2,4,6,1,3,5,7,8,9]=>[8,6,4,9,7,5,3,2,1]=>[2,3,5,7,6,9,8,4,1] [[1,3,5,6,7,8,9],[2,4]]=>[2,4,1,3,5,6,7,8,9]=>[8,6,9,7,5,4,3,2,1]=>[2,3,4,5,7,9,8,1,6] [[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,10,1,9]=>[3,4,5,6,7,8,9,1,10,2]=>[9,10,3,4,5,6,7,8,1,2] [[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>[7,6,5,4,3,10,2,9,1,8]=>[4,5,6,7,8,1,9,2,10,3]=>[8,9,10,4,5,6,7,1,2,3] [[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,9,1,8,10]=>[4,5,6,7,8,9,2,10,3,1]=>[3,10,9,4,5,6,7,8,1,2] [[1,7],[2,8],[3,9],[4,10],[5],[6]]=>[6,5,4,10,3,9,2,8,1,7]=>[5,6,7,1,8,2,9,3,10,4]=>[7,8,9,10,5,6,1,2,3,4] [[1,7,10],[2,8],[3,9],[4],[5],[6]]=>[6,5,4,3,9,2,8,1,7,10]=>[5,6,7,8,2,9,3,10,4,1]=>[4,10,8,9,5,6,7,3,1,2] [[1,7,9],[2,8,10],[3],[4],[5],[6]]=>[6,5,4,3,2,8,10,1,7,9]=>[5,6,7,8,9,3,1,10,4,2]=>[3,9,4,10,5,6,7,8,2,1] [[1,7,9,10],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7,9,10]=>[5,6,7,8,9,3,10,4,2,1]=>[2,4,10,9,5,6,7,8,1,3] [[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,10,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,10,5]=>[6,7,8,9,10,1,2,3,4,5] [[1,6,10],[2,7],[3,8],[4,9],[5]]=>[5,4,9,3,8,2,7,1,6,10]=>[6,7,2,8,3,9,4,10,5,1]=>[5,10,7,8,9,6,3,4,1,2] [[1,6,9],[2,7,10],[3,8],[4],[5]]=>[5,4,3,8,2,7,10,1,6,9]=>[6,7,8,3,9,4,1,10,5,2]=>[4,9,5,10,8,6,7,3,2,1] [[1,6,9,10],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6,9,10]=>[6,7,8,3,9,4,10,5,2,1]=>[2,5,10,8,9,6,7,4,1,3] [[1,6,8,10],[2,7,9],[3],[4],[5]]=>[5,4,3,2,7,9,1,6,8,10]=>[6,7,8,9,4,2,10,5,3,1]=>[3,5,4,10,9,6,7,8,2,1] [[1,6,8,9,10],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8,9,10]=>[6,7,8,9,4,10,5,3,2,1]=>[2,3,5,10,9,6,7,8,1,4] [[1,5,9],[2,6,10],[3,7],[4,8]]=>[4,8,3,7,2,6,10,1,5,9]=>[7,3,8,4,9,5,1,10,6,2]=>[5,9,6,10,7,8,1,3,2,4] [[1,5,9,10],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5,9,10]=>[7,3,8,4,9,5,10,6,2,1]=>[2,6,10,7,8,9,4,5,1,3] [[1,5,8],[2,6,9],[3,7,10],[4]]=>[4,3,7,10,2,6,9,1,5,8]=>[7,8,4,1,9,5,2,10,6,3]=>[4,8,5,9,6,10,7,2,1,3] [[1,5,8,10],[2,6,9],[3,7],[4]]=>[4,3,7,2,6,9,1,5,8,10]=>[7,8,4,9,5,2,10,6,3,1]=>[3,6,5,10,9,8,7,2,1,4] [[1,5,8,9,10],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8,9,10]=>[7,8,4,9,5,10,6,3,2,1]=>[2,3,6,10,8,9,7,5,1,4] [[1,5,7,9],[2,6,8,10],[3],[4]]=>[4,3,2,6,8,10,1,5,7,9]=>[7,8,9,5,3,1,10,6,4,2]=>[3,5,4,9,6,10,7,8,1,2] [[1,5,7,9,10],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7,9,10]=>[7,8,9,5,3,10,6,4,2,1]=>[2,4,6,5,10,9,7,8,3,1] [[1,5,7,8,9,10],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8,9,10]=>[7,8,9,5,10,6,4,3,2,1]=>[2,3,4,6,10,9,7,8,1,5] [[1,4,7,10],[2,5,8],[3,6,9]]=>[3,6,9,2,5,8,1,4,7,10]=>[8,5,2,9,6,3,10,7,4,1]=>[4,7,5,10,6,8,9,3,2,1] [[1,4,7,9],[2,5,8,10],[3,6]]=>[3,6,2,5,8,10,1,4,7,9]=>[8,5,9,6,3,1,10,7,4,2]=>[3,6,4,9,7,10,8,5,1,2] [[1,4,7,9,10],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7,9,10]=>[8,5,9,6,3,10,7,4,2,1]=>[2,4,7,6,10,9,8,3,1,5] [[1,4,7,8,9,10],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8,9,10]=>[8,5,9,6,10,7,4,3,2,1]=>[2,3,4,7,10,8,9,6,1,5] [[1,4,6,8,10],[2,5,7,9],[3]]=>[3,2,5,7,9,1,4,6,8,10]=>[8,9,6,4,2,10,7,5,3,1]=>[3,5,4,7,6,10,9,8,1,2] [[1,4,6,8,9,10],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8,9,10]=>[8,9,6,4,10,7,5,3,2,1]=>[2,3,5,7,6,10,9,8,4,1] [[1,4,6,7,8,9,10],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9,10]=>[8,9,6,10,7,5,4,3,2,1]=>[2,3,4,5,7,10,9,8,1,6] [[1,3,5,7,9,10],[2,4,6,8]]=>[2,4,6,8,1,3,5,7,9,10]=>[9,7,5,3,10,8,6,4,2,1]=>[2,4,6,5,8,7,10,9,1,3] [[1,3,5,7,8,9,10],[2,4,6]]=>[2,4,6,1,3,5,7,8,9,10]=>[9,7,5,10,8,6,4,3,2,1]=>[2,3,4,6,8,7,10,9,5,1] [[1,3,5,6,7,8,9,10],[2,4]]=>[2,4,1,3,5,6,7,8,9,10]=>[9,7,10,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,10,9,1,7] [[1,3],[2,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,2,4,1,3]=>[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,9,6,7] [[1,4],[2,5],[3,6],[7],[8],[9]]=>[9,8,7,3,6,2,5,1,4]=>[1,2,3,7,4,8,5,9,6]=>[1,2,3,7,8,9,4,5,6] [[1,2,4],[3,5],[6],[7],[8],[9]]=>[9,8,7,6,3,5,1,2,4]=>[1,2,3,4,7,5,9,8,6]=>[1,2,3,4,7,8,5,9,6] [[1,5],[2,6],[3,7],[4,8],[9]]=>[9,4,8,3,7,2,6,1,5]=>[1,6,2,7,3,8,4,9,5]=>[1,6,7,8,9,2,3,4,5] [[1,2,5],[3,6],[4,7],[8],[9]]=>[9,8,4,7,3,6,1,2,5]=>[1,2,6,3,7,4,9,8,5]=>[1,2,6,7,8,3,4,9,5] [[1,3,5],[2,4,6],[7],[8],[9]]=>[9,8,7,2,4,6,1,3,5]=>[1,2,3,8,6,4,9,7,5]=>[1,2,3,6,8,7,9,5,4] [[1,2,3,5],[4,6],[7],[8],[9]]=>[9,8,7,4,6,1,2,3,5]=>[1,2,3,6,4,9,8,7,5]=>[1,2,3,6,7,4,8,9,5] [[1,2,6],[3,7],[4,8],[5,9]]=>[5,9,4,8,3,7,1,2,6]=>[5,1,6,2,7,3,9,8,4]=>[5,6,7,8,1,2,3,9,4] [[1,3,6],[2,4,7],[5,8],[9]]=>[9,5,8,2,4,7,1,3,6]=>[1,5,2,8,6,3,9,7,4]=>[1,5,6,8,2,7,9,4,3] [[1,2,3,6],[4,7],[5,8],[9]]=>[9,5,8,4,7,1,2,3,6]=>[1,5,2,6,3,9,8,7,4]=>[1,5,6,7,2,3,8,9,4] [[1,2,4,6],[3,5,7],[8],[9]]=>[9,8,3,5,7,1,2,4,6]=>[1,2,7,5,3,9,8,6,4]=>[1,2,5,7,6,8,4,9,3] [[1,2,3,4,6],[5,7],[8],[9]]=>[9,8,5,7,1,2,3,4,6]=>[1,2,5,3,9,8,7,6,4]=>[1,2,5,6,3,7,8,9,4] [[1,2,4,7],[3,5,8],[6,9]]=>[6,9,3,5,8,1,2,4,7]=>[4,1,7,5,2,9,8,6,3]=>[4,5,7,1,6,8,3,9,2] [[1,2,3,4,7],[5,8],[6,9]]=>[6,9,5,8,1,2,3,4,7]=>[4,1,5,2,9,8,7,6,3]=>[4,5,6,1,2,7,8,9,3] [[1,3,5,7],[2,4,6,8],[9]]=>[9,2,4,6,8,1,3,5,7]=>[1,8,6,4,2,9,7,5,3]=>[1,4,6,5,8,7,9,2,3] [[1,2,3,5,7],[4,6,8],[9]]=>[9,4,6,8,1,2,3,5,7]=>[1,6,4,2,9,8,7,5,3]=>[1,4,6,5,7,3,8,9,2] [[1,2,3,4,5,7],[6,8],[9]]=>[9,6,8,1,2,3,4,5,7]=>[1,4,2,9,8,7,6,5,3]=>[1,4,5,2,6,7,8,9,3] [[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>[7,5,3,1,9,8,6,4,2]=>[3,5,4,7,6,8,1,9,2] [[1,2,3,4,6,8],[5,7,9]]=>[5,7,9,1,2,3,4,6,8]=>[5,3,1,9,8,7,6,4,2]=>[3,5,4,6,2,7,8,9,1] [[1,2,3,4,5,6,8],[7,9]]=>[7,9,1,2,3,4,5,6,8]=>[3,1,9,8,7,6,5,4,2]=>[3,4,1,5,6,7,8,9,2] [[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,2,4,1,3]=>[1,2,3,4,5,6,9,7,10,8]=>[1,2,3,4,5,6,9,10,7,8] [[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>[10,9,8,7,3,6,2,5,1,4]=>[1,2,3,4,8,5,9,6,10,7]=>[1,2,3,4,8,9,10,5,6,7] [[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,3,5,1,2,4]=>[1,2,3,4,5,8,6,10,9,7]=>[1,2,3,4,5,8,9,6,10,7] [[1,5],[2,6],[3,7],[4,8],[9],[10]]=>[10,9,4,8,3,7,2,6,1,5]=>[1,2,7,3,8,4,9,5,10,6]=>[1,2,7,8,9,10,3,4,5,6] [[1,2,5],[3,6],[4,7],[8],[9],[10]]=>[10,9,8,4,7,3,6,1,2,5]=>[1,2,3,7,4,8,5,10,9,6]=>[1,2,3,7,8,9,4,5,10,6] [[1,3,5],[2,4,6],[7],[8],[9],[10]]=>[10,9,8,7,2,4,6,1,3,5]=>[1,2,3,4,9,7,5,10,8,6]=>[1,2,3,4,7,9,8,10,6,5] [[1,2,3,5],[4,6],[7],[8],[9],[10]]=>[10,9,8,7,4,6,1,2,3,5]=>[1,2,3,4,7,5,10,9,8,6]=>[1,2,3,4,7,8,5,9,10,6] [[1,2,6],[3,7],[4,8],[5,9],[10]]=>[10,5,9,4,8,3,7,1,2,6]=>[1,6,2,7,3,8,4,10,9,5]=>[1,6,7,8,9,2,3,4,10,5] [[1,3,6],[2,4,7],[5,8],[9],[10]]=>[10,9,5,8,2,4,7,1,3,6]=>[1,2,6,3,9,7,4,10,8,5]=>[1,2,6,7,9,3,8,10,5,4] [[1,2,3,6],[4,7],[5,8],[9],[10]]=>[10,9,5,8,4,7,1,2,3,6]=>[1,2,6,3,7,4,10,9,8,5]=>[1,2,6,7,8,3,4,9,10,5] [[1,2,4,6],[3,5,7],[8],[9],[10]]=>[10,9,8,3,5,7,1,2,4,6]=>[1,2,3,8,6,4,10,9,7,5]=>[1,2,3,6,8,7,9,5,10,4] [[1,2,3,4,6],[5,7],[8],[9],[10]]=>[10,9,8,5,7,1,2,3,4,6]=>[1,2,3,6,4,10,9,8,7,5]=>[1,2,3,6,7,4,8,9,10,5] [[1,3,7],[2,4,8],[5,9],[6,10]]=>[6,10,5,9,2,4,8,1,3,7]=>[5,1,6,2,9,7,3,10,8,4]=>[5,6,7,9,1,2,8,10,4,3] [[1,2,3,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,1,2,3,7]=>[5,1,6,2,7,3,10,9,8,4]=>[5,6,7,8,1,2,3,9,10,4] [[1,4,7],[2,5,8],[3,6,9],[10]]=>[10,3,6,9,2,5,8,1,4,7]=>[1,8,5,2,9,6,3,10,7,4]=>[1,5,8,6,9,7,10,3,2,4] [[1,2,4,7],[3,5,8],[6,9],[10]]=>[10,6,9,3,5,8,1,2,4,7]=>[1,5,2,8,6,3,10,9,7,4]=>[1,5,6,8,2,7,9,4,10,3] [[1,2,3,4,7],[5,8],[6,9],[10]]=>[10,6,9,5,8,1,2,3,4,7]=>[1,5,2,6,3,10,9,8,7,4]=>[1,5,6,7,2,3,8,9,10,4] [[1,3,5,7],[2,4,6,8],[9],[10]]=>[10,9,2,4,6,8,1,3,5,7]=>[1,2,9,7,5,3,10,8,6,4]=>[1,2,5,7,6,9,8,10,3,4] [[1,2,3,5,7],[4,6,8],[9],[10]]=>[10,9,4,6,8,1,2,3,5,7]=>[1,2,7,5,3,10,9,8,6,4]=>[1,2,5,7,6,8,4,9,10,3] [[1,2,3,4,5,7],[6,8],[9],[10]]=>[10,9,6,8,1,2,3,4,5,7]=>[1,2,5,3,10,9,8,7,6,4]=>[1,2,5,6,3,7,8,9,10,4] [[1,2,5,8],[3,6,9],[4,7,10]]=>[4,7,10,3,6,9,1,2,5,8]=>[7,4,1,8,5,2,10,9,6,3]=>[4,7,5,8,6,9,2,1,10,3] [[1,3,5,8],[2,4,6,9],[7,10]]=>[7,10,2,4,6,9,1,3,5,8]=>[4,1,9,7,5,2,10,8,6,3]=>[4,5,7,1,6,9,8,10,2,3] [[1,2,3,5,8],[4,6,9],[7,10]]=>[7,10,4,6,9,1,2,3,5,8]=>[4,1,7,5,2,10,9,8,6,3]=>[4,5,7,1,6,8,3,9,10,2] [[1,2,3,4,5,8],[6,9],[7,10]]=>[7,10,6,9,1,2,3,4,5,8]=>[4,1,5,2,10,9,8,7,6,3]=>[4,5,6,1,2,7,8,9,10,3] [[1,2,4,6,8],[3,5,7,9],[10]]=>[10,3,5,7,9,1,2,4,6,8]=>[1,8,6,4,2,10,9,7,5,3]=>[1,4,6,5,8,7,9,2,10,3] [[1,2,3,4,6,8],[5,7,9],[10]]=>[10,5,7,9,1,2,3,4,6,8]=>[1,6,4,2,10,9,8,7,5,3]=>[1,4,6,5,7,3,8,9,10,2] [[1,2,3,4,5,6,8],[7,9],[10]]=>[10,7,9,1,2,3,4,5,6,8]=>[1,4,2,10,9,8,7,6,5,3]=>[1,4,5,2,6,7,8,9,10,3] [[1,2,3,5,7,9],[4,6,8,10]]=>[4,6,8,10,1,2,3,5,7,9]=>[7,5,3,1,10,9,8,6,4,2]=>[3,5,4,7,6,8,1,9,10,2] [[1,2,3,4,5,7,9],[6,8,10]]=>[6,8,10,1,2,3,4,5,7,9]=>[5,3,1,10,9,8,7,6,4,2]=>[3,5,4,6,2,7,8,9,10,1] [[1,2,3,4,5,6,7,9],[8,10]]=>[8,10,1,2,3,4,5,6,7,9]=>[3,1,10,9,8,7,6,5,4,2]=>[3,4,1,5,6,7,8,9,10,2] [[1,2],[3,4],[5,6],[7,9],[8,10]]=>[8,10,7,9,5,6,3,4,1,2]=>[3,1,4,2,6,5,8,7,10,9]=>[3,4,1,2,6,5,8,7,10,9] [[1,2],[3,4],[5,7],[6,8],[9,10]]=>[9,10,6,8,5,7,3,4,1,2]=>[2,1,5,3,6,4,8,7,10,9]=>[2,1,5,6,3,4,8,7,10,9] [[1,2],[3,4],[5,7],[6,9],[8,10]]=>[8,10,6,9,5,7,3,4,1,2]=>[3,1,5,2,6,4,8,7,10,9]=>[3,5,1,6,2,4,8,7,10,9] [[1,2],[3,4],[5,8],[6,9],[7,10]]=>[7,10,6,9,5,8,3,4,1,2]=>[4,1,5,2,6,3,8,7,10,9]=>[4,5,6,1,2,3,8,7,10,9] [[1,2],[3,5],[4,6],[7,8],[9,10]]=>[9,10,7,8,4,6,3,5,1,2]=>[2,1,4,3,7,5,8,6,10,9]=>[2,1,4,3,7,8,5,6,10,9] [[1,2],[3,5],[4,6],[7,9],[8,10]]=>[8,10,7,9,4,6,3,5,1,2]=>[3,1,4,2,7,5,8,6,10,9]=>[3,4,1,2,7,8,5,6,10,9] [[1,2],[3,5],[4,7],[6,8],[9,10]]=>[9,10,6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6,10,9]=>[2,1,5,7,3,8,4,6,10,9] [[1,2],[3,5],[4,7],[6,9],[8,10]]=>[8,10,6,9,4,7,3,5,1,2]=>[3,1,5,2,7,4,8,6,10,9]=>[3,5,1,7,2,8,4,6,10,9] [[1,2],[3,5],[4,8],[6,9],[7,10]]=>[7,10,6,9,4,8,3,5,1,2]=>[4,1,5,2,7,3,8,6,10,9]=>[4,5,7,1,2,8,3,6,10,9] [[1,2],[3,6],[4,7],[5,8],[9,10]]=>[9,10,5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5,10,9]=>[2,1,6,7,8,3,4,5,10,9] [[1,2],[3,6],[4,7],[5,9],[8,10]]=>[8,10,5,9,4,7,3,6,1,2]=>[3,1,6,2,7,4,8,5,10,9]=>[3,6,1,7,8,2,4,5,10,9] [[1,2],[3,6],[4,8],[5,9],[7,10]]=>[7,10,5,9,4,8,3,6,1,2]=>[4,1,6,2,7,3,8,5,10,9]=>[4,6,7,1,8,2,3,5,10,9] [[1,2],[3,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,3,7,1,2]=>[5,1,6,2,7,3,8,4,10,9]=>[5,6,7,8,1,2,3,4,10,9] [[1,3],[2,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,2,4,1,3]=>[2,1,4,3,6,5,9,7,10,8]=>[2,1,4,3,6,5,9,10,7,8] [[1,3],[2,4],[5,6],[7,9],[8,10]]=>[8,10,7,9,5,6,2,4,1,3]=>[3,1,4,2,6,5,9,7,10,8]=>[3,4,1,2,6,5,9,10,7,8] [[1,3],[2,4],[5,7],[6,8],[9,10]]=>[9,10,6,8,5,7,2,4,1,3]=>[2,1,5,3,6,4,9,7,10,8]=>[2,1,5,6,3,4,9,10,7,8] [[1,3],[2,4],[5,7],[6,9],[8,10]]=>[8,10,6,9,5,7,2,4,1,3]=>[3,1,5,2,6,4,9,7,10,8]=>[3,5,1,6,2,4,9,10,7,8] [[1,3],[2,4],[5,8],[6,9],[7,10]]=>[7,10,6,9,5,8,2,4,1,3]=>[4,1,5,2,6,3,9,7,10,8]=>[4,5,6,1,2,3,9,10,7,8] [[1,3],[2,5],[4,6],[7,8],[9,10]]=>[9,10,7,8,4,6,2,5,1,3]=>[2,1,4,3,7,5,9,6,10,8]=>[2,1,4,3,7,9,5,10,6,8] [[1,3],[2,5],[4,6],[7,9],[8,10]]=>[8,10,7,9,4,6,2,5,1,3]=>[3,1,4,2,7,5,9,6,10,8]=>[3,4,1,2,7,9,5,10,6,8] [[1,3],[2,5],[4,7],[6,8],[9,10]]=>[9,10,6,8,4,7,2,5,1,3]=>[2,1,5,3,7,4,9,6,10,8]=>[2,1,5,7,3,9,4,10,6,8] [[1,3],[2,5],[4,7],[6,9],[8,10]]=>[8,10,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,10,8]=>[3,5,1,7,2,9,4,10,6,8] [[1,3],[2,5],[4,8],[6,9],[7,10]]=>[7,10,6,9,4,8,2,5,1,3]=>[4,1,5,2,7,3,9,6,10,8]=>[4,5,7,1,2,9,3,10,6,8] [[1,3],[2,6],[4,7],[5,8],[9,10]]=>[9,10,5,8,4,7,2,6,1,3]=>[2,1,6,3,7,4,9,5,10,8]=>[2,1,6,7,9,3,4,10,5,8] [[1,3],[2,6],[4,7],[5,9],[8,10]]=>[8,10,5,9,4,7,2,6,1,3]=>[3,1,6,2,7,4,9,5,10,8]=>[3,6,1,7,9,2,4,10,5,8] [[1,3],[2,6],[4,8],[5,9],[7,10]]=>[7,10,5,9,4,8,2,6,1,3]=>[4,1,6,2,7,3,9,5,10,8]=>[4,6,7,1,9,2,3,10,5,8] [[1,3],[2,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,2,7,1,3]=>[5,1,6,2,7,3,9,4,10,8]=>[5,6,7,9,1,2,3,10,4,8] [[1,4],[2,5],[3,6],[7,8],[9,10]]=>[9,10,7,8,3,6,2,5,1,4]=>[2,1,4,3,8,5,9,6,10,7]=>[2,1,4,3,8,9,10,5,6,7] [[1,4],[2,5],[3,6],[7,9],[8,10]]=>[8,10,7,9,3,6,2,5,1,4]=>[3,1,4,2,8,5,9,6,10,7]=>[3,4,1,2,8,9,10,5,6,7] [[1,4],[2,5],[3,7],[6,8],[9,10]]=>[9,10,6,8,3,7,2,5,1,4]=>[2,1,5,3,8,4,9,6,10,7]=>[2,1,5,8,3,9,10,4,6,7] [[1,4],[2,5],[3,7],[6,9],[8,10]]=>[8,10,6,9,3,7,2,5,1,4]=>[3,1,5,2,8,4,9,6,10,7]=>[3,5,1,8,2,9,10,4,6,7] [[1,4],[2,5],[3,8],[6,9],[7,10]]=>[7,10,6,9,3,8,2,5,1,4]=>[4,1,5,2,8,3,9,6,10,7]=>[4,5,8,1,2,9,10,3,6,7] [[1,4],[2,6],[3,7],[5,8],[9,10]]=>[9,10,5,8,3,7,2,6,1,4]=>[2,1,6,3,8,4,9,5,10,7]=>[2,1,6,8,9,3,10,4,5,7] [[1,4],[2,6],[3,7],[5,9],[8,10]]=>[8,10,5,9,3,7,2,6,1,4]=>[3,1,6,2,8,4,9,5,10,7]=>[3,6,1,8,9,2,10,4,5,7] [[1,4],[2,6],[3,8],[5,9],[7,10]]=>[7,10,5,9,3,8,2,6,1,4]=>[4,1,6,2,8,3,9,5,10,7]=>[4,6,8,1,9,2,10,3,5,7] [[1,4],[2,7],[3,8],[5,9],[6,10]]=>[6,10,5,9,3,8,2,7,1,4]=>[5,1,6,2,8,3,9,4,10,7]=>[5,6,8,9,1,2,10,3,4,7] [[1,5],[2,6],[3,7],[4,8],[9,10]]=>[9,10,4,8,3,7,2,6,1,5]=>[2,1,7,3,8,4,9,5,10,6]=>[2,1,7,8,9,10,3,4,5,6] [[1,5],[2,6],[3,7],[4,9],[8,10]]=>[8,10,4,9,3,7,2,6,1,5]=>[3,1,7,2,8,4,9,5,10,6]=>[3,7,1,8,9,10,2,4,5,6] [[1,5],[2,6],[3,8],[4,9],[7,10]]=>[7,10,4,9,3,8,2,6,1,5]=>[4,1,7,2,8,3,9,5,10,6]=>[4,7,8,1,9,10,2,3,5,6] [[1,5],[2,7],[3,8],[4,9],[6,10]]=>[6,10,4,9,3,8,2,7,1,5]=>[5,1,7,2,8,3,9,4,10,6]=>[5,7,8,9,1,10,2,3,4,6] [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,5,6,3,4,1,2]=>[3,1,4,2,6,5,8,7,10,9,12,11]=>[3,4,1,2,6,5,8,7,10,9,12,11] [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,5,6,3,4,1,2]=>[2,1,5,3,6,4,8,7,10,9,12,11]=>[2,1,5,6,3,4,8,7,10,9,12,11] [[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,5,6,3,4,1,2]=>[3,1,5,2,6,4,8,7,10,9,12,11]=>[3,5,1,6,2,4,8,7,10,9,12,11] [[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,5,6,3,4,1,2]=>[4,1,5,2,6,3,8,7,10,9,12,11]=>[4,5,6,1,2,3,8,7,10,9,12,11] [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6,10,9,12,11]=>[2,1,4,3,7,8,5,6,10,9,12,11] [[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,5,7,3,4,1,2]=>[3,1,4,2,7,5,8,6,10,9,12,11]=>[3,4,1,2,7,8,5,6,10,9,12,11] [[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,5,7,3,4,1,2]=>[2,1,5,3,7,4,8,6,10,9,12,11]=>[2,1,5,7,3,8,4,6,10,9,12,11] [[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,5,7,3,4,1,2]=>[3,1,5,2,7,4,8,6,10,9,12,11]=>[3,5,1,7,2,8,4,6,10,9,12,11] [[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,5,7,3,4,1,2]=>[4,1,5,2,7,3,8,6,10,9,12,11]=>[4,5,7,1,2,8,3,6,10,9,12,11] [[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,5,8,3,4,1,2]=>[2,1,6,3,7,4,8,5,10,9,12,11]=>[2,1,6,7,8,3,4,5,10,9,12,11] [[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,5,8,3,4,1,2]=>[3,1,6,2,7,4,8,5,10,9,12,11]=>[3,6,1,7,8,2,4,5,10,9,12,11] [[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,5,8,3,4,1,2]=>[4,1,6,2,7,3,8,5,10,9,12,11]=>[4,6,7,1,8,2,3,5,10,9,12,11] [[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,5,9,3,4,1,2]=>[5,1,6,2,7,3,8,4,10,9,12,11]=>[5,6,7,8,1,2,3,4,10,9,12,11] [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,4,6,3,5,1,2]=>[2,1,4,3,6,5,9,7,10,8,12,11]=>[2,1,4,3,6,5,9,10,7,8,12,11] [[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,4,6,3,5,1,2]=>[3,1,4,2,6,5,9,7,10,8,12,11]=>[3,4,1,2,6,5,9,10,7,8,12,11] [[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,4,6,3,5,1,2]=>[2,1,5,3,6,4,9,7,10,8,12,11]=>[2,1,5,6,3,4,9,10,7,8,12,11] [[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,4,6,3,5,1,2]=>[3,1,5,2,6,4,9,7,10,8,12,11]=>[3,5,1,6,2,4,9,10,7,8,12,11] [[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,4,6,3,5,1,2]=>[4,1,5,2,6,3,9,7,10,8,12,11]=>[4,5,6,1,2,3,9,10,7,8,12,11] [[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,4,7,3,5,1,2]=>[2,1,4,3,7,5,9,6,10,8,12,11]=>[2,1,4,3,7,9,5,10,6,8,12,11] [[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,4,7,3,5,1,2]=>[3,1,4,2,7,5,9,6,10,8,12,11]=>[3,4,1,2,7,9,5,10,6,8,12,11] [[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,4,7,3,5,1,2]=>[2,1,5,3,7,4,9,6,10,8,12,11]=>[2,1,5,7,3,9,4,10,6,8,12,11] [[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,4,7,3,5,1,2]=>[3,1,5,2,7,4,9,6,10,8,12,11]=>[3,5,1,7,2,9,4,10,6,8,12,11] [[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,4,7,3,5,1,2]=>[4,1,5,2,7,3,9,6,10,8,12,11]=>[4,5,7,1,2,9,3,10,6,8,12,11] [[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,4,8,3,5,1,2]=>[2,1,6,3,7,4,9,5,10,8,12,11]=>[2,1,6,7,9,3,4,10,5,8,12,11] [[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,4,8,3,5,1,2]=>[3,1,6,2,7,4,9,5,10,8,12,11]=>[3,6,1,7,9,2,4,10,5,8,12,11] [[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,4,8,3,5,1,2]=>[4,1,6,2,7,3,9,5,10,8,12,11]=>[4,6,7,1,9,2,3,10,5,8,12,11] [[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,4,9,3,5,1,2]=>[5,1,6,2,7,3,9,4,10,8,12,11]=>[5,6,7,9,1,2,3,10,4,8,12,11] [[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>[11,12,9,10,5,8,4,7,3,6,1,2]=>[2,1,4,3,8,5,9,6,10,7,12,11]=>[2,1,4,3,8,9,10,5,6,7,12,11] [[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>[10,12,9,11,5,8,4,7,3,6,1,2]=>[3,1,4,2,8,5,9,6,10,7,12,11]=>[3,4,1,2,8,9,10,5,6,7,12,11] [[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>[11,12,8,10,5,9,4,7,3,6,1,2]=>[2,1,5,3,8,4,9,6,10,7,12,11]=>[2,1,5,8,3,9,10,4,6,7,12,11] [[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>[10,12,8,11,5,9,4,7,3,6,1,2]=>[3,1,5,2,8,4,9,6,10,7,12,11]=>[3,5,1,8,2,9,10,4,6,7,12,11] [[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>[9,12,8,11,5,10,4,7,3,6,1,2]=>[4,1,5,2,8,3,9,6,10,7,12,11]=>[4,5,8,1,2,9,10,3,6,7,12,11] [[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>[11,12,7,10,5,9,4,8,3,6,1,2]=>[2,1,6,3,8,4,9,5,10,7,12,11]=>[2,1,6,8,9,3,10,4,5,7,12,11] [[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>[10,12,7,11,5,9,4,8,3,6,1,2]=>[3,1,6,2,8,4,9,5,10,7,12,11]=>[3,6,1,8,9,2,10,4,5,7,12,11] [[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>[9,12,7,11,5,10,4,8,3,6,1,2]=>[4,1,6,2,8,3,9,5,10,7,12,11]=>[4,6,8,1,9,2,10,3,5,7,12,11] [[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>[8,12,7,11,5,10,4,9,3,6,1,2]=>[5,1,6,2,8,3,9,4,10,7,12,11]=>[5,6,8,9,1,2,10,3,4,7,12,11] [[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>[11,12,6,10,5,9,4,8,3,7,1,2]=>[2,1,7,3,8,4,9,5,10,6,12,11]=>[2,1,7,8,9,10,3,4,5,6,12,11] [[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>[10,12,6,11,5,9,4,8,3,7,1,2]=>[3,1,7,2,8,4,9,5,10,6,12,11]=>[3,7,1,8,9,10,2,4,5,6,12,11] [[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>[9,12,6,11,5,10,4,8,3,7,1,2]=>[4,1,7,2,8,3,9,5,10,6,12,11]=>[4,7,8,1,9,10,2,3,5,6,12,11] [[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>[8,12,6,11,5,10,4,9,3,7,1,2]=>[5,1,7,2,8,3,9,4,10,6,12,11]=>[5,7,8,9,1,10,2,3,4,6,12,11] [[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>[7,12,6,11,5,10,4,9,3,8,1,2]=>[6,1,7,2,8,3,9,4,10,5,12,11]=>[6,7,8,9,10,1,2,3,4,5,12,11] [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,5,6,2,4,1,3]=>[2,1,4,3,6,5,8,7,11,9,12,10]=>[2,1,4,3,6,5,8,7,11,12,9,10] [[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7,11,9,12,10]=>[3,4,1,2,6,5,8,7,11,12,9,10] [[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,5,6,2,4,1,3]=>[2,1,5,3,6,4,8,7,11,9,12,10]=>[2,1,5,6,3,4,8,7,11,12,9,10] [[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,5,6,2,4,1,3]=>[3,1,5,2,6,4,8,7,11,9,12,10]=>[3,5,1,6,2,4,8,7,11,12,9,10] [[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,5,6,2,4,1,3]=>[4,1,5,2,6,3,8,7,11,9,12,10]=>[4,5,6,1,2,3,8,7,11,12,9,10] [[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,5,7,2,4,1,3]=>[2,1,4,3,7,5,8,6,11,9,12,10]=>[2,1,4,3,7,8,5,6,11,12,9,10] [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6,11,9,12,10]=>[3,4,1,2,7,8,5,6,11,12,9,10] [[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,5,7,2,4,1,3]=>[2,1,5,3,7,4,8,6,11,9,12,10]=>[2,1,5,7,3,8,4,6,11,12,9,10] [[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,5,7,2,4,1,3]=>[3,1,5,2,7,4,8,6,11,9,12,10]=>[3,5,1,7,2,8,4,6,11,12,9,10] [[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,5,7,2,4,1,3]=>[4,1,5,2,7,3,8,6,11,9,12,10]=>[4,5,7,1,2,8,3,6,11,12,9,10] [[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,5,8,2,4,1,3]=>[2,1,6,3,7,4,8,5,11,9,12,10]=>[2,1,6,7,8,3,4,5,11,12,9,10] [[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,5,8,2,4,1,3]=>[3,1,6,2,7,4,8,5,11,9,12,10]=>[3,6,1,7,8,2,4,5,11,12,9,10] [[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,5,8,2,4,1,3]=>[4,1,6,2,7,3,8,5,11,9,12,10]=>[4,6,7,1,8,2,3,5,11,12,9,10] [[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,5,9,2,4,1,3]=>[5,1,6,2,7,3,8,4,11,9,12,10]=>[5,6,7,8,1,2,3,4,11,12,9,10] [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,4,6,2,5,1,3]=>[2,1,4,3,6,5,9,7,11,8,12,10]=>[2,1,4,3,6,5,9,11,7,12,8,10] [[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,4,6,2,5,1,3]=>[3,1,4,2,6,5,9,7,11,8,12,10]=>[3,4,1,2,6,5,9,11,7,12,8,10] [[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,4,6,2,5,1,3]=>[2,1,5,3,6,4,9,7,11,8,12,10]=>[2,1,5,6,3,4,9,11,7,12,8,10] [[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,4,6,2,5,1,3]=>[3,1,5,2,6,4,9,7,11,8,12,10]=>[3,5,1,6,2,4,9,11,7,12,8,10] [[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,4,6,2,5,1,3]=>[4,1,5,2,6,3,9,7,11,8,12,10]=>[4,5,6,1,2,3,9,11,7,12,8,10] [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,4,7,2,5,1,3]=>[2,1,4,3,7,5,9,6,11,8,12,10]=>[2,1,4,3,7,9,5,11,6,12,8,10] [[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,4,7,2,5,1,3]=>[3,1,4,2,7,5,9,6,11,8,12,10]=>[3,4,1,2,7,9,5,11,6,12,8,10] [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,4,7,2,5,1,3]=>[2,1,5,3,7,4,9,6,11,8,12,10]=>[2,1,5,7,3,9,4,11,6,12,8,10] [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,11,8,12,10]=>[3,5,1,7,2,9,4,11,6,12,8,10] [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,4,7,2,5,1,3]=>[4,1,5,2,7,3,9,6,11,8,12,10]=>[4,5,7,1,2,9,3,11,6,12,8,10] [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,4,8,2,5,1,3]=>[2,1,6,3,7,4,9,5,11,8,12,10]=>[2,1,6,7,9,3,4,11,5,12,8,10] [[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,4,8,2,5,1,3]=>[3,1,6,2,7,4,9,5,11,8,12,10]=>[3,6,1,7,9,2,4,11,5,12,8,10] [[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,4,8,2,5,1,3]=>[4,1,6,2,7,3,9,5,11,8,12,10]=>[4,6,7,1,9,2,3,11,5,12,8,10] [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,4,9,2,5,1,3]=>[5,1,6,2,7,3,9,4,11,8,12,10]=>[5,6,7,9,1,2,3,11,4,12,8,10] [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>[11,12,9,10,5,8,4,7,2,6,1,3]=>[2,1,4,3,8,5,9,6,11,7,12,10]=>[2,1,4,3,8,9,11,5,6,12,7,10] [[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>[10,12,9,11,5,8,4,7,2,6,1,3]=>[3,1,4,2,8,5,9,6,11,7,12,10]=>[3,4,1,2,8,9,11,5,6,12,7,10] [[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>[11,12,8,10,5,9,4,7,2,6,1,3]=>[2,1,5,3,8,4,9,6,11,7,12,10]=>[2,1,5,8,3,9,11,4,6,12,7,10] [[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>[10,12,8,11,5,9,4,7,2,6,1,3]=>[3,1,5,2,8,4,9,6,11,7,12,10]=>[3,5,1,8,2,9,11,4,6,12,7,10] [[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>[9,12,8,11,5,10,4,7,2,6,1,3]=>[4,1,5,2,8,3,9,6,11,7,12,10]=>[4,5,8,1,2,9,11,3,6,12,7,10] [[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>[11,12,7,10,5,9,4,8,2,6,1,3]=>[2,1,6,3,8,4,9,5,11,7,12,10]=>[2,1,6,8,9,3,11,4,5,12,7,10] [[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>[10,12,7,11,5,9,4,8,2,6,1,3]=>[3,1,6,2,8,4,9,5,11,7,12,10]=>[3,6,1,8,9,2,11,4,5,12,7,10] [[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>[9,12,7,11,5,10,4,8,2,6,1,3]=>[4,1,6,2,8,3,9,5,11,7,12,10]=>[4,6,8,1,9,2,11,3,5,12,7,10] [[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>[8,12,7,11,5,10,4,9,2,6,1,3]=>[5,1,6,2,8,3,9,4,11,7,12,10]=>[5,6,8,9,1,2,11,3,4,12,7,10] [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>[11,12,6,10,5,9,4,8,2,7,1,3]=>[2,1,7,3,8,4,9,5,11,6,12,10]=>[2,1,7,8,9,11,3,4,5,12,6,10] [[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>[10,12,6,11,5,9,4,8,2,7,1,3]=>[3,1,7,2,8,4,9,5,11,6,12,10]=>[3,7,1,8,9,11,2,4,5,12,6,10] [[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>[9,12,6,11,5,10,4,8,2,7,1,3]=>[4,1,7,2,8,3,9,5,11,6,12,10]=>[4,7,8,1,9,11,2,3,5,12,6,10] [[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>[8,12,6,11,5,10,4,9,2,7,1,3]=>[5,1,7,2,8,3,9,4,11,6,12,10]=>[5,7,8,9,1,11,2,3,4,12,6,10] [[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>[7,12,6,11,5,10,4,9,2,8,1,3]=>[6,1,7,2,8,3,9,4,11,5,12,10]=>[6,7,8,9,11,1,2,3,4,12,5,10] [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,3,6,2,5,1,4]=>[2,1,4,3,6,5,10,7,11,8,12,9]=>[2,1,4,3,6,5,10,11,12,7,8,9] [[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,3,6,2,5,1,4]=>[3,1,4,2,6,5,10,7,11,8,12,9]=>[3,4,1,2,6,5,10,11,12,7,8,9] [[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,3,6,2,5,1,4]=>[2,1,5,3,6,4,10,7,11,8,12,9]=>[2,1,5,6,3,4,10,11,12,7,8,9] [[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,3,6,2,5,1,4]=>[3,1,5,2,6,4,10,7,11,8,12,9]=>[3,5,1,6,2,4,10,11,12,7,8,9] [[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,3,6,2,5,1,4]=>[4,1,5,2,6,3,10,7,11,8,12,9]=>[4,5,6,1,2,3,10,11,12,7,8,9] [[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,3,7,2,5,1,4]=>[2,1,4,3,7,5,10,6,11,8,12,9]=>[2,1,4,3,7,10,5,11,12,6,8,9] [[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,3,7,2,5,1,4]=>[3,1,4,2,7,5,10,6,11,8,12,9]=>[3,4,1,2,7,10,5,11,12,6,8,9] [[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,3,7,2,5,1,4]=>[2,1,5,3,7,4,10,6,11,8,12,9]=>[2,1,5,7,3,10,4,11,12,6,8,9] [[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,3,7,2,5,1,4]=>[3,1,5,2,7,4,10,6,11,8,12,9]=>[3,5,1,7,2,10,4,11,12,6,8,9] [[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,3,7,2,5,1,4]=>[4,1,5,2,7,3,10,6,11,8,12,9]=>[4,5,7,1,2,10,3,11,12,6,8,9] [[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,3,8,2,5,1,4]=>[2,1,6,3,7,4,10,5,11,8,12,9]=>[2,1,6,7,10,3,4,11,12,5,8,9] [[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,3,8,2,5,1,4]=>[3,1,6,2,7,4,10,5,11,8,12,9]=>[3,6,1,7,10,2,4,11,12,5,8,9] [[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,3,8,2,5,1,4]=>[4,1,6,2,7,3,10,5,11,8,12,9]=>[4,6,7,1,10,2,3,11,12,5,8,9] [[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,3,9,2,5,1,4]=>[5,1,6,2,7,3,10,4,11,8,12,9]=>[5,6,7,10,1,2,3,11,12,4,8,9] [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>[11,12,9,10,5,8,3,7,2,6,1,4]=>[2,1,4,3,8,5,10,6,11,7,12,9]=>[2,1,4,3,8,10,11,5,12,6,7,9] [[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>[10,12,9,11,5,8,3,7,2,6,1,4]=>[3,1,4,2,8,5,10,6,11,7,12,9]=>[3,4,1,2,8,10,11,5,12,6,7,9] [[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>[11,12,8,10,5,9,3,7,2,6,1,4]=>[2,1,5,3,8,4,10,6,11,7,12,9]=>[2,1,5,8,3,10,11,4,12,6,7,9] [[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>[10,12,8,11,5,9,3,7,2,6,1,4]=>[3,1,5,2,8,4,10,6,11,7,12,9]=>[3,5,1,8,2,10,11,4,12,6,7,9] [[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>[9,12,8,11,5,10,3,7,2,6,1,4]=>[4,1,5,2,8,3,10,6,11,7,12,9]=>[4,5,8,1,2,10,11,3,12,6,7,9] [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>[11,12,7,10,5,9,3,8,2,6,1,4]=>[2,1,6,3,8,4,10,5,11,7,12,9]=>[2,1,6,8,10,3,11,4,12,5,7,9] [[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>[10,12,7,11,5,9,3,8,2,6,1,4]=>[3,1,6,2,8,4,10,5,11,7,12,9]=>[3,6,1,8,10,2,11,4,12,5,7,9] [[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>[9,12,7,11,5,10,3,8,2,6,1,4]=>[4,1,6,2,8,3,10,5,11,7,12,9]=>[4,6,8,1,10,2,11,3,12,5,7,9] [[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>[8,12,7,11,5,10,3,9,2,6,1,4]=>[5,1,6,2,8,3,10,4,11,7,12,9]=>[5,6,8,10,1,2,11,3,12,4,7,9] [[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>[11,12,6,10,5,9,3,8,2,7,1,4]=>[2,1,7,3,8,4,10,5,11,6,12,9]=>[2,1,7,8,10,11,3,4,12,5,6,9] [[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>[10,12,6,11,5,9,3,8,2,7,1,4]=>[3,1,7,2,8,4,10,5,11,6,12,9]=>[3,7,1,8,10,11,2,4,12,5,6,9] [[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>[9,12,6,11,5,10,3,8,2,7,1,4]=>[4,1,7,2,8,3,10,5,11,6,12,9]=>[4,7,8,1,10,11,2,3,12,5,6,9] [[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>[8,12,6,11,5,10,3,9,2,7,1,4]=>[5,1,7,2,8,3,10,4,11,6,12,9]=>[5,7,8,10,1,11,2,3,12,4,6,9] [[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>[7,12,6,11,5,10,3,9,2,8,1,4]=>[6,1,7,2,8,3,10,4,11,5,12,9]=>[6,7,8,10,11,1,2,3,12,4,5,9] [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>[11,12,9,10,4,8,3,7,2,6,1,5]=>[2,1,4,3,9,5,10,6,11,7,12,8]=>[2,1,4,3,9,10,11,12,5,6,7,8] [[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>[10,12,9,11,4,8,3,7,2,6,1,5]=>[3,1,4,2,9,5,10,6,11,7,12,8]=>[3,4,1,2,9,10,11,12,5,6,7,8] [[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>[11,12,8,10,4,9,3,7,2,6,1,5]=>[2,1,5,3,9,4,10,6,11,7,12,8]=>[2,1,5,9,3,10,11,12,4,6,7,8] [[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>[10,12,8,11,4,9,3,7,2,6,1,5]=>[3,1,5,2,9,4,10,6,11,7,12,8]=>[3,5,1,9,2,10,11,12,4,6,7,8] [[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>[9,12,8,11,4,10,3,7,2,6,1,5]=>[4,1,5,2,9,3,10,6,11,7,12,8]=>[4,5,9,1,2,10,11,12,3,6,7,8] [[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>[11,12,7,10,4,9,3,8,2,6,1,5]=>[2,1,6,3,9,4,10,5,11,7,12,8]=>[2,1,6,9,10,3,11,12,4,5,7,8] [[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>[10,12,7,11,4,9,3,8,2,6,1,5]=>[3,1,6,2,9,4,10,5,11,7,12,8]=>[3,6,1,9,10,2,11,12,4,5,7,8] [[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>[9,12,7,11,4,10,3,8,2,6,1,5]=>[4,1,6,2,9,3,10,5,11,7,12,8]=>[4,6,9,1,10,2,11,12,3,5,7,8] [[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>[8,12,7,11,4,10,3,9,2,6,1,5]=>[5,1,6,2,9,3,10,4,11,7,12,8]=>[5,6,9,10,1,2,11,12,3,4,7,8] [[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>[11,12,6,10,4,9,3,8,2,7,1,5]=>[2,1,7,3,9,4,10,5,11,6,12,8]=>[2,1,7,9,10,11,3,12,4,5,6,8] [[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>[10,12,6,11,4,9,3,8,2,7,1,5]=>[3,1,7,2,9,4,10,5,11,6,12,8]=>[3,7,1,9,10,11,2,12,4,5,6,8] [[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>[9,12,6,11,4,10,3,8,2,7,1,5]=>[4,1,7,2,9,3,10,5,11,6,12,8]=>[4,7,9,1,10,11,2,12,3,5,6,8] [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>[8,12,6,11,4,10,3,9,2,7,1,5]=>[5,1,7,2,9,3,10,4,11,6,12,8]=>[5,7,9,10,1,11,2,12,3,4,6,8] [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>[7,12,6,11,4,10,3,9,2,8,1,5]=>[6,1,7,2,9,3,10,4,11,5,12,8]=>[6,7,9,10,11,1,2,12,3,4,5,8] [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>[11,12,5,10,4,9,3,8,2,7,1,6]=>[2,1,8,3,9,4,10,5,11,6,12,7]=>[2,1,8,9,10,11,12,3,4,5,6,7] [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>[10,12,5,11,4,9,3,8,2,7,1,6]=>[3,1,8,2,9,4,10,5,11,6,12,7]=>[3,8,1,9,10,11,12,2,4,5,6,7] [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>[9,12,5,11,4,10,3,8,2,7,1,6]=>[4,1,8,2,9,3,10,5,11,6,12,7]=>[4,8,9,1,10,11,12,2,3,5,6,7] [[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>[8,12,5,11,4,10,3,9,2,7,1,6]=>[5,1,8,2,9,3,10,4,11,6,12,7]=>[5,8,9,10,1,11,12,2,3,4,6,7] [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>[7,12,5,11,4,10,3,9,2,8,1,6]=>[6,1,8,2,9,3,10,4,11,5,12,7]=>[6,8,9,10,11,1,12,2,3,4,5,7] [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>[6,12,5,11,4,10,3,9,2,8,1,7]=>[7,1,8,2,9,3,10,4,11,5,12,6]=>[7,8,9,10,11,12,1,2,3,4,5,6] [[1,2,3,4,5,6,7,9],[8]]=>[8,1,2,3,4,5,6,7,9]=>[2,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,1] [[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>[3,2,9,8,7,6,5,4,1]=>[4,3,2,5,6,7,8,9,1] [[1,2,3,4,5,6,9],[7],[8]]=>[8,7,1,2,3,4,5,6,9]=>[2,3,9,8,7,6,5,4,1]=>[4,2,3,5,6,7,8,9,1] [[1,2,3,9],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3,9]=>[2,3,4,5,6,9,8,7,1]=>[7,2,3,4,5,6,8,9,1] [[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9]=>[2,3,4,5,6,7,9,8,1]=>[8,2,3,4,5,6,7,9,1] [[1,3],[2,9],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,9,1,3]=>[2,3,4,5,6,8,1,9,7]=>[8,2,3,4,5,6,9,1,7] [[1,2,3,4,5,6,7,8,10],[9]]=>[9,1,2,3,4,5,6,7,8,10]=>[2,10,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,10,1] [[1,2,3,4,5,6,7,10],[8,9]]=>[8,9,1,2,3,4,5,6,7,10]=>[3,2,10,9,8,7,6,5,4,1]=>[4,3,2,5,6,7,8,9,10,1] [[1,2,3,10],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3,10]=>[2,3,4,5,6,7,10,9,8,1]=>[8,2,3,4,5,6,7,9,10,1] [[1,2,10],[3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,3,4,1,2,10]=>[2,4,3,6,5,8,7,10,9,1]=>[9,2,4,3,6,5,8,7,10,1] [[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2,10]=>[2,3,4,5,6,7,8,10,9,1]=>[9,2,3,4,5,6,7,8,10,1] [[1,3],[2,10],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,10,1,3]=>[2,3,4,5,6,7,9,1,10,8]=>[9,2,3,4,5,6,7,10,1,8] []=>[]=>[]=>[] [[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>[7,9,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,9,1] [[1,6,8,9],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8,9]=>[3,5,6,7,8,9,4,2,1]=>[2,4,3,9,5,6,7,8,1] [[1,7,9],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7,9]=>[2,4,5,6,7,8,9,3,1]=>[3,2,9,4,5,6,7,8,1] [[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,1,8]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2] [[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[8,10,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,8,10,1] [[1,2,8],[3,4],[5,6],[7,9],[10]]=>[10,7,9,5,6,3,4,1,2,8]=>[1,4,2,6,5,8,7,10,9,3]=>[1,4,9,2,6,5,8,7,10,3] [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[10,8,7,6,5,4,3,2,1,9]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2] [[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>[8,1,9,7,6,5,4,3,2]=>[8,3,4,5,6,7,9,1,2] [[1,3,4,5,6,7,8],[2],[9]]=>[9,2,1,3,4,5,6,7,8]=>[1,8,9,7,6,5,4,3,2]=>[1,3,4,5,6,7,9,8,2] [[1,3,4],[2],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,2,1,3,4]=>[1,2,3,4,5,8,9,7,6]=>[1,2,3,4,5,7,9,8,6] [[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,1,3]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7] [[1,3,4,5,6,7,8,9],[2,10]]=>[2,10,1,3,4,5,6,7,8,9]=>[9,1,10,8,7,6,5,4,3,2]=>[9,3,4,5,6,7,8,10,1,2] [[1,3,4,5,6,7,8],[2,9,10]]=>[2,9,10,1,3,4,5,6,7,8]=>[9,2,1,10,8,7,6,5,4,3]=>[2,9,4,5,6,7,8,10,1,3] [[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,2,1,3]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8] [[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[7,10,9,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,9,10,1] [[1,2,3,4,6,7,8,9,10],[5]]=>[5,1,2,3,4,6,7,8,9,10]=>[6,10,9,8,7,5,4,3,2,1]=>[2,3,4,5,7,6,8,9,10,1] [[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>[3,10,9,8,7,6,5,4,2,1]=>[2,4,3,5,6,7,8,9,10,1] [[1,2,3,4,5,6,8,9,10],[7]]=>[7,1,2,3,4,5,6,8,9,10]=>[4,10,9,8,7,6,5,3,2,1]=>[2,3,5,4,6,7,8,9,10,1] [[1,2,3,4,5,7,8,9,10],[6]]=>[6,1,2,3,4,5,7,8,9,10]=>[5,10,9,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,9,10,1] [[1,2,5,6,7,8],[3,4],[9]]=>[9,3,4,1,2,5,6,7,8]=>[1,7,6,9,8,5,4,3,2]=>[1,3,4,5,8,7,6,9,2] [[1,3,8],[2,5],[4,7],[6,9]]=>[6,9,4,7,2,5,1,3,8]=>[4,1,6,3,8,5,9,7,2]=>[4,7,6,1,9,3,8,2,5] [[1,7,8],[2],[3],[4],[5],[6],[9]]=>[9,6,5,4,3,2,1,7,8]=>[1,4,5,6,7,8,9,3,2]=>[1,3,9,4,5,6,7,8,2] [[1,2,3,4,9],[5,6,7,8],[10]]=>[10,5,6,7,8,1,2,3,4,9]=>[1,6,5,4,3,10,9,8,7,2]=>[1,7,4,5,6,3,8,9,10,2] [[1,2,9],[3,4],[5,6],[7,8],[10]]=>[10,7,8,5,6,3,4,1,2,9]=>[1,4,3,6,5,8,7,10,9,2]=>[1,9,4,3,6,5,8,7,10,2] [[1,2,4,5,6,7,8,9],[3],[10]]=>[10,3,1,2,4,5,6,7,8,9]=>[1,8,10,9,7,6,5,4,3,2]=>[1,3,4,5,6,7,9,8,10,2] [[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,3,2,1,4]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7] [[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,4,3,2,1,5]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6] [[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]=>[10,9,7,6,5,4,3,2,1,8]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3] [[1,7],[2],[3],[4],[5],[6],[8],[9],[10]]=>[10,9,8,6,5,4,3,2,1,7]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,5,6,7,8,9,4] [[1,6],[2],[3],[4],[5],[7],[8],[9],[10]]=>[10,9,8,7,5,4,3,2,1,6]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5] [[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]]=>[12,10,9,8,7,6,5,4,3,2,1,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[1,12,3,4,5,6,7,8,9,10,11,2] [[1,2,3,4,5,6,8],[7],[9]]=>[9,7,1,2,3,4,5,6,8]=>[1,3,9,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,9,2] [[1,2,3,4,5,7,9],[6,8]]=>[6,8,1,2,3,4,5,7,9]=>[4,2,9,8,7,6,5,3,1]=>[3,5,4,1,6,7,8,9,2] [[1,2,8],[3,9],[4],[5],[6],[7]]=>[7,6,5,4,3,9,1,2,8]=>[3,4,5,6,7,1,9,8,2]=>[7,8,3,4,5,6,1,9,2] [[1,3,10],[2],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,1,3,10]=>[2,3,4,5,6,7,9,10,8,1]=>[8,2,3,4,5,6,7,10,9,1] [[1,3,4,9],[2,10],[5],[6],[7],[8]]=>[8,7,6,5,2,10,1,3,4,9]=>[3,4,5,6,9,1,10,8,7,2]=>[9,7,3,4,5,6,8,10,1,2] [[1,7],[2,8],[3],[4],[5],[6],[9]]=>[9,6,5,4,3,2,8,1,7]=>[1,4,5,6,7,8,2,9,3]=>[1,8,9,4,5,6,7,2,3] [[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>[7,1,9,8,6,5,4,3,2]=>[7,3,4,5,6,8,1,9,2] [[1,2,4,5,6,7,8,9],[3,10]]=>[3,10,1,2,4,5,6,7,8,9]=>[8,1,10,9,7,6,5,4,3,2]=>[8,3,4,5,6,7,9,1,10,2] [[1,2],[3,9],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,9,1,2]=>[2,3,4,5,6,7,1,9,8]=>[7,2,3,4,5,6,1,9,8] [[1,2],[3,8],[4,9],[5],[6],[7]]=>[7,6,5,4,9,3,8,1,2]=>[3,4,5,6,1,7,2,9,8]=>[6,7,3,4,5,1,2,9,8] [[1,2],[3,10],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,10,1,2]=>[2,3,4,5,6,7,8,1,10,9]=>[8,2,3,4,5,6,7,1,10,9] [[1,2],[3,9],[4,10],[5],[6],[7],[8]]=>[8,7,6,5,4,10,3,9,1,2]=>[3,4,5,6,7,1,8,2,10,9]=>[7,8,3,4,5,6,1,2,10,9] [[1,2,3],[4,9],[5],[6],[7],[8]]=>[8,7,6,5,4,9,1,2,3]=>[2,3,4,5,6,1,9,8,7]=>[6,2,3,4,5,1,8,9,7] [[1,2,3,4],[5,9],[6],[7],[8]]=>[8,7,6,5,9,1,2,3,4]=>[2,3,4,5,1,9,8,7,6]=>[5,2,3,4,1,7,8,9,6] [[1,4,9],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4,9]=>[4,2,7,3,8,5,9,6,1]=>[6,4,9,2,7,8,5,1,3] [[1,2,3,4,5,6],[7,9],[8]]=>[8,7,9,1,2,3,4,5,6]=>[2,3,1,9,8,7,6,5,4]=>[3,2,1,5,6,7,8,9,4] [[1,3,4,5,6,7,9],[2,8]]=>[2,8,1,3,4,5,6,7,9]=>[8,2,9,7,6,5,4,3,1]=>[3,4,5,6,7,9,8,1,2] [[1,2,3,4,5,6,8,9],[7,10]]=>[7,10,1,2,3,4,5,6,8,9]=>[4,1,10,9,8,7,6,5,3,2]=>[4,3,5,1,6,7,8,9,10,2] [[1,2,3,4,5,7,8],[6,9]]=>[6,9,1,2,3,4,5,7,8]=>[4,1,9,8,7,6,5,3,2]=>[4,3,5,1,6,7,8,9,2]
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
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
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.
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
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 maximima 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 deficiency positions of $\chi(\pi)$, and
  • the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.