Identifier
Mp00106: Standard tableaux catabolismStandard tableaux
Mp00081: Standard tableaux reading word permutationPermutations
Mp00067: Permutations Foata bijectionPermutations
Mp00068: Permutations Simion-Schmidt mapPermutations
Images
=>
Cc0007;cc-rep-0Cc0007;cc-rep-1
[[1]]=>[[1]]=>[1]=>[1]=>[1] [[1,2]]=>[[1,2]]=>[1,2]=>[1,2]=>[1,2] [[1],[2]]=>[[1,2]]=>[1,2]=>[1,2]=>[1,2] [[1,2,3]]=>[[1,2,3]]=>[1,2,3]=>[1,2,3]=>[1,3,2] [[1,3],[2]]=>[[1,2],[3]]=>[3,1,2]=>[1,3,2]=>[1,3,2] [[1,2],[3]]=>[[1,2,3]]=>[1,2,3]=>[1,2,3]=>[1,3,2] [[1],[2],[3]]=>[[1,2],[3]]=>[3,1,2]=>[1,3,2]=>[1,3,2] [[1,2,3,4]]=>[[1,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,4,3,2] [[1,3,4],[2]]=>[[1,2,4],[3]]=>[3,1,2,4]=>[1,3,2,4]=>[1,4,3,2] [[1,2,4],[3]]=>[[1,2,3],[4]]=>[4,1,2,3]=>[1,2,4,3]=>[1,4,3,2] [[1,2,3],[4]]=>[[1,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,4,3,2] [[1,3],[2,4]]=>[[1,2,4],[3]]=>[3,1,2,4]=>[1,3,2,4]=>[1,4,3,2] [[1,2],[3,4]]=>[[1,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[1,4,3,2] [[1,4],[2],[3]]=>[[1,2],[3],[4]]=>[4,3,1,2]=>[1,4,3,2]=>[1,4,3,2] [[1,3],[2],[4]]=>[[1,2,4],[3]]=>[3,1,2,4]=>[1,3,2,4]=>[1,4,3,2] [[1,2],[3],[4]]=>[[1,2,3],[4]]=>[4,1,2,3]=>[1,2,4,3]=>[1,4,3,2] [[1],[2],[3],[4]]=>[[1,2],[3],[4]]=>[4,3,1,2]=>[1,4,3,2]=>[1,4,3,2] [[1,2,3,4,5]]=>[[1,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,5,4,3,2] [[1,3,4,5],[2]]=>[[1,2,4,5],[3]]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,5,4,3,2] [[1,2,4,5],[3]]=>[[1,2,3,5],[4]]=>[4,1,2,3,5]=>[1,2,4,3,5]=>[1,5,4,3,2] [[1,2,3,5],[4]]=>[[1,2,3,4],[5]]=>[5,1,2,3,4]=>[1,2,3,5,4]=>[1,5,4,3,2] [[1,2,3,4],[5]]=>[[1,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,5,4,3,2] [[1,3,5],[2,4]]=>[[1,2,4],[3,5]]=>[3,5,1,2,4]=>[1,3,2,5,4]=>[1,5,4,3,2] [[1,2,5],[3,4]]=>[[1,2,3,4],[5]]=>[5,1,2,3,4]=>[1,2,3,5,4]=>[1,5,4,3,2] [[1,3,4],[2,5]]=>[[1,2,4,5],[3]]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,5,4,3,2] [[1,2,4],[3,5]]=>[[1,2,3,5],[4]]=>[4,1,2,3,5]=>[1,2,4,3,5]=>[1,5,4,3,2] [[1,2,3],[4,5]]=>[[1,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,5,4,3,2] [[1,4,5],[2],[3]]=>[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[1,4,3,2,5]=>[1,5,4,3,2] [[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[1,3,5,2,4]=>[1,5,4,3,2] [[1,2,5],[3],[4]]=>[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[1,5,4,3,2] [[1,3,4],[2],[5]]=>[[1,2,4,5],[3]]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,5,4,3,2] [[1,2,4],[3],[5]]=>[[1,2,3,5],[4]]=>[4,1,2,3,5]=>[1,2,4,3,5]=>[1,5,4,3,2] [[1,2,3],[4],[5]]=>[[1,2,3,4],[5]]=>[5,1,2,3,4]=>[1,2,3,5,4]=>[1,5,4,3,2] [[1,4],[2,5],[3]]=>[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[1,4,3,2,5]=>[1,5,4,3,2] [[1,3],[2,5],[4]]=>[[1,2,4,5],[3]]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,5,4,3,2] [[1,2],[3,5],[4]]=>[[1,2,3,5],[4]]=>[4,1,2,3,5]=>[1,2,4,3,5]=>[1,5,4,3,2] [[1,3],[2,4],[5]]=>[[1,2,4],[3,5]]=>[3,5,1,2,4]=>[1,3,2,5,4]=>[1,5,4,3,2] [[1,2],[3,4],[5]]=>[[1,2,3,4],[5]]=>[5,1,2,3,4]=>[1,2,3,5,4]=>[1,5,4,3,2] [[1,5],[2],[3],[4]]=>[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>[1,5,4,3,2]=>[1,5,4,3,2] [[1,4],[2],[3],[5]]=>[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[1,4,3,2,5]=>[1,5,4,3,2] [[1,3],[2],[4],[5]]=>[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[1,3,5,2,4]=>[1,5,4,3,2] [[1,2],[3],[4],[5]]=>[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[1,5,4,3,2] [[1],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>[1,5,4,3,2]=>[1,5,4,3,2] [[1,2,3,4,5,6]]=>[[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2] [[1,3,4,5,6],[2]]=>[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2] [[1,2,4,5,6],[3]]=>[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2] [[1,2,3,5,6],[4]]=>[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2] [[1,2,3,4,6],[5]]=>[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2] [[1,2,3,4,5],[6]]=>[[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2] [[1,3,5,6],[2,4]]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2] [[1,2,5,6],[3,4]]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2] [[1,3,4,6],[2,5]]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2] [[1,2,4,6],[3,5]]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2] [[1,2,3,6],[4,5]]=>[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2] [[1,3,4,5],[2,6]]=>[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2] [[1,2,4,5],[3,6]]=>[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2] [[1,2,3,5],[4,6]]=>[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2] [[1,2,3,4],[5,6]]=>[[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2] [[1,4,5,6],[2],[3]]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2] [[1,3,5,6],[2],[4]]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2] [[1,2,5,6],[3],[4]]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2] [[1,3,4,6],[2],[5]]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2] [[1,2,4,6],[3],[5]]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2] [[1,2,3,6],[4],[5]]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2] [[1,3,4,5],[2],[6]]=>[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2] [[1,2,4,5],[3],[6]]=>[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2] [[1,2,3,5],[4],[6]]=>[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2] [[1,2,3,4],[5],[6]]=>[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2] [[1,3,5],[2,4,6]]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2] [[1,2,5],[3,4,6]]=>[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2] [[1,3,4],[2,5,6]]=>[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2] [[1,2,4],[3,5,6]]=>[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2] [[1,2,3],[4,5,6]]=>[[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2] [[1,4,6],[2,5],[3]]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2] [[1,3,6],[2,5],[4]]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2] [[1,2,6],[3,5],[4]]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2] [[1,3,6],[2,4],[5]]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2] [[1,2,6],[3,4],[5]]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2] [[1,4,5],[2,6],[3]]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2] [[1,3,5],[2,6],[4]]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2] [[1,2,5],[3,6],[4]]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2] [[1,3,4],[2,6],[5]]=>[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2] [[1,2,4],[3,6],[5]]=>[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2] [[1,2,3],[4,6],[5]]=>[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2] [[1,3,5],[2,4],[6]]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2] [[1,2,5],[3,4],[6]]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2] [[1,3,4],[2,5],[6]]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2] [[1,2,4],[3,5],[6]]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2] [[1,2,3],[4,5],[6]]=>[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2] [[1,5,6],[2],[3],[4]]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2] [[1,4,6],[2],[3],[5]]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2] [[1,3,6],[2],[4],[5]]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2] [[1,2,6],[3],[4],[5]]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2] [[1,4,5],[2],[3],[6]]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2] [[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2] [[1,2,5],[3],[4],[6]]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2] [[1,3,4],[2],[5],[6]]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2] [[1,2,4],[3],[5],[6]]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2] [[1,2,3],[4],[5],[6]]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2] [[1,4],[2,5],[3,6]]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2] [[1,3],[2,5],[4,6]]=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2] [[1,2],[3,5],[4,6]]=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2] [[1,3],[2,4],[5,6]]=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2] [[1,2],[3,4],[5,6]]=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2] [[1,5],[2,6],[3],[4]]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2] [[1,4],[2,6],[3],[5]]=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2] [[1,3],[2,6],[4],[5]]=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2] [[1,2],[3,6],[4],[5]]=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2] [[1,4],[2,5],[3],[6]]=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2] [[1,3],[2,5],[4],[6]]=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2] [[1,2],[3,5],[4],[6]]=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2] [[1,3],[2,4],[5],[6]]=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2] [[1,2],[3,4],[5],[6]]=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2] [[1,6],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2] [[1,5],[2],[3],[4],[6]]=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2] [[1,4],[2],[3],[5],[6]]=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2] [[1,3],[2],[4],[5],[6]]=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2] [[1,2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2] [[1],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2] [[1,2,3,4,5,6,7]]=>[[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,7,6,5,4,3,2] [[1,3,4,5,6,7],[2]]=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,7,6,5,4,3,2] [[1,2,4,5,6,7],[3]]=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,7,6,5,4,3,2] [[1,2,3,5,6,7],[4]]=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,3,4,6,7],[5]]=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[1,7,6,5,4,3,2] [[1,2,3,4,5,7],[6]]=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[1,7,6,5,4,3,2] [[1,2,3,4,5,6],[7]]=>[[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,7,6,5,4,3,2] [[1,3,5,6,7],[2,4]]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,5,6,7],[3,4]]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>[1,2,3,5,6,4,7]=>[1,7,6,5,4,3,2] [[1,3,4,6,7],[2,5]]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>[1,3,2,4,6,5,7]=>[1,7,6,5,4,3,2] [[1,2,4,6,7],[3,5]]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>[1,2,4,3,6,5,7]=>[1,7,6,5,4,3,2] [[1,2,3,6,7],[4,5]]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>[1,2,3,4,6,7,5]=>[1,7,6,5,4,3,2] [[1,3,4,5,7],[2,6]]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>[1,3,2,4,5,7,6]=>[1,7,6,5,4,3,2] [[1,2,4,5,7],[3,6]]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>[1,2,4,3,5,7,6]=>[1,7,6,5,4,3,2] [[1,2,3,5,7],[4,6]]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>[1,2,3,5,4,7,6]=>[1,7,6,5,4,3,2] [[1,2,3,4,7],[5,6]]=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[1,7,6,5,4,3,2] [[1,3,4,5,6],[2,7]]=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,7,6,5,4,3,2] [[1,2,4,5,6],[3,7]]=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,7,6,5,4,3,2] [[1,2,3,5,6],[4,7]]=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,3,4,6],[5,7]]=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[1,7,6,5,4,3,2] [[1,2,3,4,5],[6,7]]=>[[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,7,6,5,4,3,2] [[1,4,5,6,7],[2],[3]]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,7,6,5,4,3,2] [[1,3,5,6,7],[2],[4]]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,5,6,7],[3],[4]]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[1,7,6,5,4,3,2] [[1,3,4,6,7],[2],[5]]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>[1,3,2,6,4,5,7]=>[1,7,6,5,4,3,2] [[1,2,4,6,7],[3],[5]]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>[1,2,4,6,3,5,7]=>[1,7,6,5,4,3,2] [[1,2,3,6,7],[4],[5]]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[1,7,6,5,4,3,2] [[1,3,4,5,7],[2],[6]]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>[1,3,2,4,7,5,6]=>[1,7,6,5,4,3,2] [[1,2,4,5,7],[3],[6]]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>[1,2,4,3,7,5,6]=>[1,7,6,5,4,3,2] [[1,2,3,5,7],[4],[6]]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6]=>[1,7,6,5,4,3,2] [[1,2,3,4,7],[5],[6]]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[1,7,6,5,4,3,2] [[1,3,4,5,6],[2],[7]]=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,7,6,5,4,3,2] [[1,2,4,5,6],[3],[7]]=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,7,6,5,4,3,2] [[1,2,3,5,6],[4],[7]]=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,3,4,6],[5],[7]]=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[1,7,6,5,4,3,2] [[1,2,3,4,5],[6],[7]]=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[1,7,6,5,4,3,2] [[1,3,5,7],[2,4,6]]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>[1,3,2,5,4,7,6]=>[1,7,6,5,4,3,2] [[1,2,5,7],[3,4,6]]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>[1,2,3,5,4,7,6]=>[1,7,6,5,4,3,2] [[1,3,4,7],[2,5,6]]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>[1,3,2,4,5,7,6]=>[1,7,6,5,4,3,2] [[1,2,4,7],[3,5,6]]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>[1,2,4,3,5,7,6]=>[1,7,6,5,4,3,2] [[1,2,3,7],[4,5,6]]=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[1,7,6,5,4,3,2] [[1,3,5,6],[2,4,7]]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,5,6],[3,4,7]]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>[1,2,3,5,6,4,7]=>[1,7,6,5,4,3,2] [[1,3,4,6],[2,5,7]]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>[1,3,2,4,6,5,7]=>[1,7,6,5,4,3,2] [[1,2,4,6],[3,5,7]]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>[1,2,4,3,6,5,7]=>[1,7,6,5,4,3,2] [[1,2,3,6],[4,5,7]]=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[1,7,6,5,4,3,2] [[1,3,4,5],[2,6,7]]=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,7,6,5,4,3,2] [[1,2,4,5],[3,6,7]]=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,7,6,5,4,3,2] [[1,2,3,5],[4,6,7]]=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,3,4],[5,6,7]]=>[[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,7,6,5,4,3,2] [[1,4,6,7],[2,5],[3]]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>[1,4,3,2,6,5,7]=>[1,7,6,5,4,3,2] [[1,3,6,7],[2,5],[4]]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>[1,3,2,6,4,7,5]=>[1,7,6,5,4,3,2] [[1,2,6,7],[3,5],[4]]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>[1,2,4,6,3,7,5]=>[1,7,6,5,4,3,2] [[1,3,6,7],[2,4],[5]]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>[1,3,2,6,5,4,7]=>[1,7,6,5,4,3,2] [[1,2,6,7],[3,4],[5]]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4]=>[1,7,6,5,4,3,2] [[1,4,5,7],[2,6],[3]]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>[1,4,3,2,5,7,6]=>[1,7,6,5,4,3,2] [[1,3,5,7],[2,6],[4]]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>[1,3,5,2,4,7,6]=>[1,7,6,5,4,3,2] [[1,2,5,7],[3,6],[4]]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>[1,2,5,4,3,7,6]=>[1,7,6,5,4,3,2] [[1,3,4,7],[2,6],[5]]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>[1,3,2,4,7,5,6]=>[1,7,6,5,4,3,2] [[1,2,4,7],[3,6],[5]]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>[1,2,4,3,7,5,6]=>[1,7,6,5,4,3,2] [[1,2,3,7],[4,6],[5]]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6]=>[1,7,6,5,4,3,2] [[1,3,5,7],[2,4],[6]]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>[1,3,2,5,7,4,6]=>[1,7,6,5,4,3,2] [[1,2,5,7],[3,4],[6]]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4]=>[1,7,6,5,4,3,2] [[1,3,4,7],[2,5],[6]]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>[1,3,2,4,7,6,5]=>[1,7,6,5,4,3,2] [[1,2,4,7],[3,5],[6]]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>[1,2,4,3,7,6,5]=>[1,7,6,5,4,3,2] [[1,2,3,7],[4,5],[6]]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[1,7,6,5,4,3,2] [[1,4,5,6],[2,7],[3]]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,7,6,5,4,3,2] [[1,3,5,6],[2,7],[4]]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,5,6],[3,7],[4]]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[1,7,6,5,4,3,2] [[1,3,4,6],[2,7],[5]]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>[1,3,2,6,4,5,7]=>[1,7,6,5,4,3,2] [[1,2,4,6],[3,7],[5]]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>[1,2,4,6,3,5,7]=>[1,7,6,5,4,3,2] [[1,2,3,6],[4,7],[5]]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[1,7,6,5,4,3,2] [[1,3,4,5],[2,7],[6]]=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,7,6,5,4,3,2] [[1,2,4,5],[3,7],[6]]=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,7,6,5,4,3,2] [[1,2,3,5],[4,7],[6]]=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,3,4],[5,7],[6]]=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[1,7,6,5,4,3,2] [[1,3,5,6],[2,4],[7]]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,5,6],[3,4],[7]]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>[1,2,3,5,6,4,7]=>[1,7,6,5,4,3,2] [[1,3,4,6],[2,5],[7]]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>[1,3,2,4,6,5,7]=>[1,7,6,5,4,3,2] [[1,2,4,6],[3,5],[7]]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>[1,2,4,3,6,5,7]=>[1,7,6,5,4,3,2] [[1,2,3,6],[4,5],[7]]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>[1,2,3,4,6,7,5]=>[1,7,6,5,4,3,2] [[1,3,4,5],[2,6],[7]]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>[1,3,2,4,5,7,6]=>[1,7,6,5,4,3,2] [[1,2,4,5],[3,6],[7]]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>[1,2,4,3,5,7,6]=>[1,7,6,5,4,3,2] [[1,2,3,5],[4,6],[7]]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>[1,2,3,5,4,7,6]=>[1,7,6,5,4,3,2] [[1,2,3,4],[5,6],[7]]=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[1,7,6,5,4,3,2] [[1,5,6,7],[2],[3],[4]]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]=>[1,7,6,5,4,3,2] [[1,4,6,7],[2],[3],[5]]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>[1,4,6,3,2,5,7]=>[1,7,6,5,4,3,2] [[1,3,6,7],[2],[4],[5]]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>[1,3,6,5,2,4,7]=>[1,7,6,5,4,3,2] [[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]=>[1,7,6,5,4,3,2] [[1,4,5,7],[2],[3],[6]]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>[1,4,3,7,2,5,6]=>[1,7,6,5,4,3,2] [[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>[1,3,5,7,2,4,6]=>[1,7,6,5,4,3,2] [[1,2,5,7],[3],[4],[6]]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>[1,2,5,7,4,3,6]=>[1,7,6,5,4,3,2] [[1,3,4,7],[2],[5],[6]]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>[1,3,2,7,6,4,5]=>[1,7,6,5,4,3,2] [[1,2,4,7],[3],[5],[6]]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,3,5]=>[1,7,6,5,4,3,2] [[1,2,3,7],[4],[5],[6]]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[1,7,6,5,4,3,2] [[1,4,5,6],[2],[3],[7]]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,7,6,5,4,3,2] [[1,3,5,6],[2],[4],[7]]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,5,6],[3],[4],[7]]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[1,7,6,5,4,3,2] [[1,3,4,6],[2],[5],[7]]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>[1,3,2,6,4,5,7]=>[1,7,6,5,4,3,2] [[1,2,4,6],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>[1,2,4,6,3,5,7]=>[1,7,6,5,4,3,2] [[1,2,3,6],[4],[5],[7]]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[1,7,6,5,4,3,2] [[1,3,4,5],[2],[6],[7]]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>[1,3,2,4,7,5,6]=>[1,7,6,5,4,3,2] [[1,2,4,5],[3],[6],[7]]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>[1,2,4,3,7,5,6]=>[1,7,6,5,4,3,2] [[1,2,3,5],[4],[6],[7]]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6]=>[1,7,6,5,4,3,2] [[1,2,3,4],[5],[6],[7]]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[1,7,6,5,4,3,2] [[1,4,6],[2,5,7],[3]]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>[1,4,3,2,6,5,7]=>[1,7,6,5,4,3,2] [[1,3,6],[2,5,7],[4]]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>[1,3,2,6,4,5,7]=>[1,7,6,5,4,3,2] [[1,2,6],[3,5,7],[4]]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>[1,2,4,6,3,5,7]=>[1,7,6,5,4,3,2] [[1,3,6],[2,4,7],[5]]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>[1,3,2,6,5,4,7]=>[1,7,6,5,4,3,2] [[1,2,6],[3,4,7],[5]]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[1,7,6,5,4,3,2] [[1,4,5],[2,6,7],[3]]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,7,6,5,4,3,2] [[1,3,5],[2,6,7],[4]]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,5],[3,6,7],[4]]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[1,7,6,5,4,3,2] [[1,3,4],[2,6,7],[5]]=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,7,6,5,4,3,2] [[1,2,4],[3,6,7],[5]]=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,7,6,5,4,3,2] [[1,2,3],[4,6,7],[5]]=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,7,6,5,4,3,2] [[1,3,5],[2,4,7],[6]]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,5],[3,4,7],[6]]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>[1,2,3,5,6,4,7]=>[1,7,6,5,4,3,2] [[1,3,4],[2,5,7],[6]]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>[1,3,2,4,6,5,7]=>[1,7,6,5,4,3,2] [[1,2,4],[3,5,7],[6]]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>[1,2,4,3,6,5,7]=>[1,7,6,5,4,3,2] [[1,2,3],[4,5,7],[6]]=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[1,7,6,5,4,3,2] [[1,3,5],[2,4,6],[7]]=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>[1,3,2,5,4,7,6]=>[1,7,6,5,4,3,2] [[1,2,5],[3,4,6],[7]]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>[1,2,3,5,4,7,6]=>[1,7,6,5,4,3,2] [[1,3,4],[2,5,6],[7]]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>[1,3,2,4,5,7,6]=>[1,7,6,5,4,3,2] [[1,2,4],[3,5,6],[7]]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>[1,2,4,3,5,7,6]=>[1,7,6,5,4,3,2] [[1,2,3],[4,5,6],[7]]=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[1,7,6,5,4,3,2] [[1,4,7],[2,5],[3,6]]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>[1,4,3,2,7,6,5]=>[1,7,6,5,4,3,2] [[1,3,7],[2,5],[4,6]]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>[1,3,2,4,7,6,5]=>[1,7,6,5,4,3,2] [[1,2,7],[3,5],[4,6]]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>[1,2,4,3,7,6,5]=>[1,7,6,5,4,3,2] [[1,3,7],[2,4],[5,6]]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>[1,3,2,5,7,4,6]=>[1,7,6,5,4,3,2] [[1,2,7],[3,4],[5,6]]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4]=>[1,7,6,5,4,3,2] [[1,4,6],[2,5],[3,7]]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>[1,4,3,2,6,5,7]=>[1,7,6,5,4,3,2] [[1,3,6],[2,5],[4,7]]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>[1,3,2,6,4,7,5]=>[1,7,6,5,4,3,2] [[1,2,6],[3,5],[4,7]]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>[1,2,4,6,3,7,5]=>[1,7,6,5,4,3,2] [[1,3,6],[2,4],[5,7]]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>[1,3,2,6,5,4,7]=>[1,7,6,5,4,3,2] [[1,2,6],[3,4],[5,7]]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4]=>[1,7,6,5,4,3,2] [[1,4,5],[2,6],[3,7]]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>[1,4,3,2,5,7,6]=>[1,7,6,5,4,3,2] [[1,3,5],[2,6],[4,7]]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>[1,3,5,2,4,7,6]=>[1,7,6,5,4,3,2] [[1,2,5],[3,6],[4,7]]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>[1,2,5,4,3,7,6]=>[1,7,6,5,4,3,2] [[1,3,4],[2,6],[5,7]]=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>[1,3,2,4,5,7,6]=>[1,7,6,5,4,3,2] [[1,2,4],[3,6],[5,7]]=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>[1,2,4,3,5,7,6]=>[1,7,6,5,4,3,2] [[1,2,3],[4,6],[5,7]]=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>[1,2,3,5,4,7,6]=>[1,7,6,5,4,3,2] [[1,3,5],[2,4],[6,7]]=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,5],[3,4],[6,7]]=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>[1,2,3,5,6,4,7]=>[1,7,6,5,4,3,2] [[1,3,4],[2,5],[6,7]]=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>[1,3,2,4,6,5,7]=>[1,7,6,5,4,3,2] [[1,2,4],[3,5],[6,7]]=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>[1,2,4,3,6,5,7]=>[1,7,6,5,4,3,2] [[1,2,3],[4,5],[6,7]]=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>[1,2,3,4,6,7,5]=>[1,7,6,5,4,3,2] [[1,5,7],[2,6],[3],[4]]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>[1,5,4,3,2,7,6]=>[1,7,6,5,4,3,2] [[1,4,7],[2,6],[3],[5]]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>[1,4,3,7,2,5,6]=>[1,7,6,5,4,3,2] [[1,3,7],[2,6],[4],[5]]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>[1,3,5,7,2,4,6]=>[1,7,6,5,4,3,2] [[1,2,7],[3,6],[4],[5]]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>[1,2,5,7,4,3,6]=>[1,7,6,5,4,3,2] [[1,4,7],[2,5],[3],[6]]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>[1,4,3,7,2,6,5]=>[1,7,6,5,4,3,2] [[1,3,7],[2,5],[4],[6]]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>[1,3,2,7,6,4,5]=>[1,7,6,5,4,3,2] [[1,2,7],[3,5],[4],[6]]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,3,5]=>[1,7,6,5,4,3,2] [[1,3,7],[2,4],[5],[6]]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>[1,3,2,7,6,5,4]=>[1,7,6,5,4,3,2] [[1,2,7],[3,4],[5],[6]]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[1,7,6,5,4,3,2] [[1,5,6],[2,7],[3],[4]]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]=>[1,7,6,5,4,3,2] [[1,4,6],[2,7],[3],[5]]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>[1,4,6,3,2,5,7]=>[1,7,6,5,4,3,2] [[1,3,6],[2,7],[4],[5]]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>[1,3,6,5,2,4,7]=>[1,7,6,5,4,3,2] [[1,2,6],[3,7],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]=>[1,7,6,5,4,3,2] [[1,4,5],[2,7],[3],[6]]=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,7,6,5,4,3,2] [[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,7,6,5,4,3,2] [[1,2,5],[3,7],[4],[6]]=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[1,7,6,5,4,3,2] [[1,3,4],[2,7],[5],[6]]=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>[1,3,2,6,4,5,7]=>[1,7,6,5,4,3,2] [[1,2,4],[3,7],[5],[6]]=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>[1,2,4,6,3,5,7]=>[1,7,6,5,4,3,2] [[1,2,3],[4,7],[5],[6]]=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[1,7,6,5,4,3,2] [[1,4,6],[2,5],[3],[7]]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>[1,4,3,2,6,5,7]=>[1,7,6,5,4,3,2] [[1,3,6],[2,5],[4],[7]]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>[1,3,2,6,4,7,5]=>[1,7,6,5,4,3,2] [[1,2,6],[3,5],[4],[7]]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>[1,2,4,6,3,7,5]=>[1,7,6,5,4,3,2] [[1,3,6],[2,4],[5],[7]]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>[1,3,2,6,5,4,7]=>[1,7,6,5,4,3,2] [[1,2,6],[3,4],[5],[7]]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4]=>[1,7,6,5,4,3,2] [[1,4,5],[2,6],[3],[7]]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>[1,4,3,2,5,7,6]=>[1,7,6,5,4,3,2] [[1,3,5],[2,6],[4],[7]]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>[1,3,5,2,4,7,6]=>[1,7,6,5,4,3,2] [[1,2,5],[3,6],[4],[7]]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>[1,2,5,4,3,7,6]=>[1,7,6,5,4,3,2] [[1,3,4],[2,6],[5],[7]]=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>[1,3,2,4,7,5,6]=>[1,7,6,5,4,3,2] [[1,2,4],[3,6],[5],[7]]=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>[1,2,4,3,7,5,6]=>[1,7,6,5,4,3,2] [[1,2,3],[4,6],[5],[7]]=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6]=>[1,7,6,5,4,3,2] [[1,3,5],[2,4],[6],[7]]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>[1,3,2,5,7,4,6]=>[1,7,6,5,4,3,2] [[1,2,5],[3,4],[6],[7]]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4]=>[1,7,6,5,4,3,2] [[1,3,4],[2,5],[6],[7]]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>[1,3,2,4,7,6,5]=>[1,7,6,5,4,3,2] [[1,2,4],[3,5],[6],[7]]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>[1,2,4,3,7,6,5]=>[1,7,6,5,4,3,2] [[1,2,3],[4,5],[6],[7]]=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[1,7,6,5,4,3,2] [[1,6,7],[2],[3],[4],[5]]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7]=>[1,7,6,5,4,3,2] [[1,5,7],[2],[3],[4],[6]]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>[1,5,7,4,3,2,6]=>[1,7,6,5,4,3,2] [[1,4,7],[2],[3],[5],[6]]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>[1,4,7,6,3,2,5]=>[1,7,6,5,4,3,2] [[1,3,7],[2],[4],[5],[6]]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>[1,3,7,6,5,2,4]=>[1,7,6,5,4,3,2] [[1,2,7],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]=>[1,7,6,5,4,3,2] [[1,5,6],[2],[3],[4],[7]]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]=>[1,7,6,5,4,3,2] [[1,4,6],[2],[3],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>[1,4,6,3,2,5,7]=>[1,7,6,5,4,3,2] [[1,3,6],[2],[4],[5],[7]]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>[1,3,6,5,2,4,7]=>[1,7,6,5,4,3,2] [[1,2,6],[3],[4],[5],[7]]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]=>[1,7,6,5,4,3,2] [[1,4,5],[2],[3],[6],[7]]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>[1,4,3,7,2,5,6]=>[1,7,6,5,4,3,2] [[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>[1,3,5,7,2,4,6]=>[1,7,6,5,4,3,2] [[1,2,5],[3],[4],[6],[7]]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>[1,2,5,7,4,3,6]=>[1,7,6,5,4,3,2] [[1,3,4],[2],[5],[6],[7]]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>[1,3,2,7,6,4,5]=>[1,7,6,5,4,3,2] [[1,2,4],[3],[5],[6],[7]]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,3,5]=>[1,7,6,5,4,3,2] [[1,2,3],[4],[5],[6],[7]]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[1,7,6,5,4,3,2] [[1,5],[2,6],[3,7],[4]]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>[1,5,4,3,2,7,6]=>[1,7,6,5,4,3,2] [[1,4],[2,6],[3,7],[5]]=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>[1,4,3,2,5,7,6]=>[1,7,6,5,4,3,2] [[1,3],[2,6],[4,7],[5]]=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>[1,3,5,2,4,7,6]=>[1,7,6,5,4,3,2] [[1,2],[3,6],[4,7],[5]]=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>[1,2,5,4,3,7,6]=>[1,7,6,5,4,3,2] [[1,4],[2,5],[3,7],[6]]=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>[1,4,3,2,6,5,7]=>[1,7,6,5,4,3,2] [[1,3],[2,5],[4,7],[6]]=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>[1,3,2,6,4,7,5]=>[1,7,6,5,4,3,2] [[1,2],[3,5],[4,7],[6]]=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>[1,2,4,6,3,7,5]=>[1,7,6,5,4,3,2] [[1,3],[2,4],[5,7],[6]]=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>[1,3,2,6,5,4,7]=>[1,7,6,5,4,3,2] [[1,2],[3,4],[5,7],[6]]=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4]=>[1,7,6,5,4,3,2] [[1,4],[2,5],[3,6],[7]]=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>[1,4,3,2,7,6,5]=>[1,7,6,5,4,3,2] [[1,3],[2,5],[4,6],[7]]=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>[1,3,2,4,7,6,5]=>[1,7,6,5,4,3,2] [[1,2],[3,5],[4,6],[7]]=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>[1,2,4,3,7,6,5]=>[1,7,6,5,4,3,2] [[1,3],[2,4],[5,6],[7]]=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>[1,3,2,5,7,4,6]=>[1,7,6,5,4,3,2] [[1,2],[3,4],[5,6],[7]]=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4]=>[1,7,6,5,4,3,2] [[1,6],[2,7],[3],[4],[5]]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7]=>[1,7,6,5,4,3,2] [[1,5],[2,7],[3],[4],[6]]=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]=>[1,7,6,5,4,3,2] [[1,4],[2,7],[3],[5],[6]]=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>[1,4,6,3,2,5,7]=>[1,7,6,5,4,3,2] [[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>[1,3,6,5,2,4,7]=>[1,7,6,5,4,3,2] [[1,2],[3,7],[4],[5],[6]]=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]=>[1,7,6,5,4,3,2] [[1,5],[2,6],[3],[4],[7]]=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>[1,5,4,3,2,7,6]=>[1,7,6,5,4,3,2] [[1,4],[2,6],[3],[5],[7]]=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>[1,4,3,7,2,5,6]=>[1,7,6,5,4,3,2] [[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>[1,3,5,7,2,4,6]=>[1,7,6,5,4,3,2] [[1,2],[3,6],[4],[5],[7]]=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>[1,2,5,7,4,3,6]=>[1,7,6,5,4,3,2] [[1,4],[2,5],[3],[6],[7]]=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>[1,4,3,7,2,6,5]=>[1,7,6,5,4,3,2] [[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>[1,3,2,7,6,4,5]=>[1,7,6,5,4,3,2] [[1,2],[3,5],[4],[6],[7]]=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,3,5]=>[1,7,6,5,4,3,2] [[1,3],[2,4],[5],[6],[7]]=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>[1,3,2,7,6,5,4]=>[1,7,6,5,4,3,2] [[1,2],[3,4],[5],[6],[7]]=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[1,7,6,5,4,3,2] [[1,7],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2] [[1,6],[2],[3],[4],[5],[7]]=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7]=>[1,7,6,5,4,3,2] [[1,5],[2],[3],[4],[6],[7]]=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>[1,5,7,4,3,2,6]=>[1,7,6,5,4,3,2] [[1,4],[2],[3],[5],[6],[7]]=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>[1,4,7,6,3,2,5]=>[1,7,6,5,4,3,2] [[1,3],[2],[4],[5],[6],[7]]=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>[1,3,7,6,5,2,4]=>[1,7,6,5,4,3,2] [[1,2],[3],[4],[5],[6],[7]]=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]=>[1,7,6,5,4,3,2] [[1],[2],[3],[4],[5],[6],[7]]=>[[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2] [[1,2,3,4,5,6,7,8]]=>[[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,6,7,8],[2]]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,6,7,8],[3]]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,6,7,8],[4]]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,6,7,8],[5]]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,5,7,8],[6]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,5,6,8],[7]]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7],[8]]=>[[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,6,7,8],[2,4]]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,6,7,8],[2,5]]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>[1,3,2,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,6,7,8],[3,5]]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,6,7,8],[4,5]]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>[1,2,3,4,6,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,7,8],[2,6]]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>[1,3,2,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,7,8],[3,6]]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>[1,2,4,3,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,7,8],[4,6]]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,7,8],[5,6]]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,6,8],[2,7]]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>[1,3,2,4,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,6,8],[3,7]]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>[1,2,4,3,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,6,8],[4,7]]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>[1,2,3,5,4,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,6,8],[5,7]]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,5,8],[6,7]]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,6,7],[2,8]]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,6,7],[3,8]]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,6,7],[4,8]]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,6,7],[5,8]]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,5,7],[6,8]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,5,6],[7,8]]=>[[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,4,5,6,7,8],[2],[3]]=>[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,6,7,8],[2],[4]]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>[1,3,5,2,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,5,6,7,8],[3],[4]]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,6,7,8],[3],[5]]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>[1,2,4,6,3,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,7,8],[3],[6]]=>[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>[1,2,4,3,7,5,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,7,8],[4],[6]]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>[1,2,3,5,7,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,7,8],[5],[6]]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,6,8],[2],[7]]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>[1,3,2,4,5,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,6,8],[3],[7]]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>[1,2,4,3,5,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,6,8],[4],[7]]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>[1,2,3,5,4,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,6,8],[5],[7]]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>[1,2,3,4,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,5,8],[6],[7]]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,6,7],[2],[8]]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,6,7],[3],[8]]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,6,7],[4],[8]]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,6,7],[5],[8]]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,5,7],[6],[8]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,5,6],[7],[8]]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,5,7,8],[2,4,6]]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>[1,3,2,5,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,5,7,8],[3,4,6]]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>[1,2,3,5,4,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,3,4,7,8],[2,5,6]]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>[1,3,2,4,5,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,4,7,8],[3,5,6]]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>[1,2,4,3,5,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,7,8],[4,5,6]]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,5,6,8],[3,4,7]]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>[1,2,3,5,6,4,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,6,8],[3,5,7]]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>[1,2,4,3,6,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,6,8],[4,5,7]]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,8],[2,6,7]]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>[1,3,2,4,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,8],[3,6,7]]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>[1,2,4,3,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,8],[4,6,7]]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>[1,2,3,5,4,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,8],[5,6,7]]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,5,6,7],[2,4,8]]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,6,7],[2,5,8]]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>[1,3,2,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,6,7],[3,5,8]]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,6,7],[4,5,8]]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>[1,2,3,4,6,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,7],[2,6,8]]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>[1,3,2,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,7],[3,6,8]]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>[1,2,4,3,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,7],[4,6,8]]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,7],[5,6,8]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,6],[2,7,8]]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,6],[3,7,8]]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,6],[4,7,8]]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,6],[5,7,8]]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,5],[6,7,8]]=>[[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,6,7,8],[2,5],[4]]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>[1,3,2,6,4,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6,7,8],[3,5],[4]]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>[1,2,4,6,3,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6,7,8],[3,4],[5]]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>[1,2,3,6,5,7,4,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,7,8],[2,6],[4]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>[1,3,5,2,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,7,8],[3,6],[5]]=>[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>[1,2,4,3,7,5,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,7,8],[4,6],[5]]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>[1,2,3,5,7,4,8,6]=>[1,8,7,6,5,4,3,2] [[1,3,5,7,8],[2,4],[6]]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>[1,3,2,5,7,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,5,7,8],[3,4],[6]]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>[1,2,3,5,7,6,4,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,7,8],[4,5],[6]]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>[1,2,3,4,7,6,8,5]=>[1,8,7,6,5,4,3,2] [[1,2,4,6,8],[3,7],[5]]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>[1,2,4,6,3,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,6,8],[4,7],[5]]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,8],[2,7],[6]]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>[1,3,2,4,5,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,8],[3,7],[6]]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>[1,2,4,3,5,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,8],[4,7],[6]]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>[1,2,3,5,4,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,8],[5,7],[6]]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>[1,2,3,4,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,3,5,6,8],[2,4],[7]]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>[1,3,2,5,4,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,5,6,8],[3,4],[7]]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>[1,2,3,5,6,8,4,7]=>[1,8,7,6,5,4,3,2] [[1,3,4,6,8],[2,5],[7]]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>[1,3,2,4,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,6,8],[3,5],[7]]=>[[1,2,3,5,7],[4,6],[8]]=>[8,4,6,1,2,3,5,7]=>[1,2,4,3,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,6,8],[4,5],[7]]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,7,5]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,8],[2,6],[7]]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>[1,3,2,4,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,8],[3,6],[7]]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>[1,2,4,3,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,8],[4,6],[7]]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>[1,2,3,5,4,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,8],[5,6],[7]]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,4,5,6,7],[2,8],[3]]=>[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,6,7],[2,8],[4]]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>[1,3,5,2,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,5,6,7],[3,8],[4]]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,6,7],[3,8],[5]]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>[1,2,4,6,3,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,7],[3,8],[6]]=>[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>[1,2,4,3,7,5,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,7],[4,8],[6]]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>[1,2,3,5,7,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,7],[5,8],[6]]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,6],[2,8],[7]]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,6],[3,8],[7]]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,6],[4,8],[7]]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,6],[5,8],[7]]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,5],[6,8],[7]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,6,7],[2,4],[8]]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,6,7],[2,5],[8]]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>[1,3,2,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,6,7],[3,5],[8]]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,6,7],[4,5],[8]]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>[1,2,3,4,6,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,7],[2,6],[8]]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>[1,3,2,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,7],[3,6],[8]]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>[1,2,4,3,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,7],[4,6],[8]]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,7],[5,6],[8]]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,6],[2,7],[8]]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>[1,3,2,4,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,6],[3,7],[8]]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>[1,2,4,3,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,6],[4,7],[8]]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>[1,2,3,5,4,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,6],[5,7],[8]]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,5],[6,7],[8]]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,6,7,8],[3],[4],[5]]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>[1,2,6,5,4,3,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,7,8],[2],[4],[6]]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>[1,3,5,7,2,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,7,8],[4],[5],[6]]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>[1,2,3,7,6,5,4,8]=>[1,8,7,6,5,4,3,2] [[1,4,5,6,8],[2],[3],[7]]=>[[1,2,5,6,7],[3],[4],[8]]=>[8,4,3,1,2,5,6,7]=>[1,4,3,2,8,5,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,5,6,8],[3],[4],[7]]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>[1,2,5,4,8,3,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,6,8],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>[1,2,4,6,8,3,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,6,8],[4],[5],[7]]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>[1,2,3,6,8,5,4,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,8],[3],[6],[7]]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>[1,2,4,3,8,7,5,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,8],[4],[6],[7]]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>[1,2,3,5,8,7,4,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,8],[5],[6],[7]]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,4,5,6,7],[2],[3],[8]]=>[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,6,7],[2],[4],[8]]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>[1,3,5,2,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,5,6,7],[3],[4],[8]]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,6,7],[3],[5],[8]]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>[1,2,4,6,3,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,7],[3],[6],[8]]=>[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>[1,2,4,3,7,5,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,7],[4],[6],[8]]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>[1,2,3,5,7,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,7],[5],[6],[8]]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,5,6],[2],[7],[8]]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>[1,3,2,4,5,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,5,6],[3],[7],[8]]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>[1,2,4,3,5,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,5,6],[4],[7],[8]]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>[1,2,3,5,4,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,6],[5],[7],[8]]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>[1,2,3,4,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4,5],[6],[7],[8]]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,3,5,7],[2,4,6,8]]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>[1,3,2,5,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,5,7],[3,4,6,8]]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,7],[2,5,6,8]]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>[1,3,2,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,7],[3,5,6,8]]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>[1,2,4,3,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,7],[4,5,6,8]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,6],[2,4,7,8]]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,6],[2,5,7,8]]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>[1,3,2,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,6],[3,5,7,8]]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,6],[4,5,7,8]]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,5],[2,6,7,8]]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5],[3,6,7,8]]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5],[4,6,7,8]]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4],[5,6,7,8]]=>[[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,6,8],[3,5,7],[4]]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>[1,2,4,6,3,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,6,8],[2,4,7],[5]]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>[1,3,2,6,5,4,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,6,8],[3,4,7],[5]]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,4,8],[2,6,7],[5]]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>[1,3,2,4,5,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,8],[3,6,7],[5]]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>[1,2,4,3,5,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,8],[4,6,7],[5]]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>[1,2,3,5,4,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,3,5,8],[2,4,7],[6]]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>[1,3,2,5,4,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,5,8],[3,4,7],[6]]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>[1,2,3,5,6,8,4,7]=>[1,8,7,6,5,4,3,2] [[1,3,4,8],[2,5,7],[6]]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>[1,3,2,4,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,8],[3,5,7],[6]]=>[[1,2,3,5,7],[4,6],[8]]=>[8,4,6,1,2,3,5,7]=>[1,2,4,3,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,8],[4,5,7],[6]]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>[1,2,3,4,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,3,5,8],[2,4,6],[7]]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>[1,3,2,5,4,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,5,8],[3,4,6],[7]]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>[1,2,3,5,4,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,3,4,8],[2,5,6],[7]]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>[1,3,2,4,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,4,8],[3,5,6],[7]]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>[1,2,4,3,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,8],[4,5,6],[7]]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,3,6,7],[2,5,8],[4]]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>[1,3,2,6,4,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6,7],[3,5,8],[4]]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>[1,2,4,6,3,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6,7],[3,4,8],[5]]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>[1,2,3,6,5,7,4,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,7],[2,6,8],[4]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>[1,3,5,2,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,7],[3,6,8],[5]]=>[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>[1,2,4,3,7,5,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,7],[4,6,8],[5]]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>[1,2,3,5,7,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,7],[2,4,8],[6]]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>[1,3,2,5,7,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,5,7],[3,4,8],[6]]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>[1,2,3,5,7,6,4,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,7],[4,5,8],[6]]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,8]=>[1,8,7,6,5,4,3,2] [[1,4,5,6],[2,7,8],[3]]=>[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,6],[2,7,8],[4]]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>[1,3,5,2,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,5,6],[3,7,8],[4]]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,6],[3,7,8],[5]]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>[1,2,4,6,3,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,5],[2,7,8],[6]]=>[[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5],[3,7,8],[6]]=>[[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5],[4,7,8],[6]]=>[[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4],[5,7,8],[6]]=>[[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,6],[2,4,8],[7]]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,6],[2,5,8],[7]]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>[1,3,2,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,6],[3,5,8],[7]]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,6],[4,5,8],[7]]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>[1,2,3,4,6,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,5],[2,6,8],[7]]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>[1,3,2,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5],[3,6,8],[7]]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>[1,2,4,3,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5],[4,6,8],[7]]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4],[5,6,8],[7]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,7],[2,4,6],[8]]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>[1,3,2,5,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,5,7],[3,4,6],[8]]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>[1,2,3,5,4,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,3,4,7],[2,5,6],[8]]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>[1,3,2,4,5,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,4,7],[3,5,6],[8]]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>[1,2,4,3,5,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,7],[4,5,6],[8]]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,5,6],[3,4,7],[8]]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>[1,2,3,5,6,4,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,6],[3,5,7],[8]]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>[1,2,4,3,6,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,6],[4,5,7],[8]]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,4,5],[2,6,7],[8]]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>[1,3,2,4,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,5],[3,6,7],[8]]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>[1,2,4,3,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,5],[4,6,7],[8]]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>[1,2,3,5,4,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4],[5,6,7],[8]]=>[[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,4,7,8],[2,5],[3,6]]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>[1,4,3,2,7,6,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,7,8],[3,5],[4,6]]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>[1,2,4,3,7,8,6,5]=>[1,8,7,6,5,4,3,2] [[1,3,7,8],[2,4],[5,6]]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>[1,3,2,5,7,8,4,6]=>[1,8,7,6,5,4,3,2] [[1,2,7,8],[3,4],[5,6]]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>[1,2,3,5,7,8,6,4]=>[1,8,7,6,5,4,3,2] [[1,3,6,8],[2,5],[4,7]]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>[1,3,2,6,4,8,7,5]=>[1,8,7,6,5,4,3,2] [[1,2,6,8],[3,5],[4,7]]=>[[1,2,3,5],[4,7],[6,8]]=>[6,8,4,7,1,2,3,5]=>[1,2,4,6,3,8,7,5]=>[1,8,7,6,5,4,3,2] [[1,3,6,8],[2,4],[5,7]]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>[1,3,2,6,5,8,4,7]=>[1,8,7,6,5,4,3,2] [[1,2,6,8],[3,4],[5,7]]=>[[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>[1,2,3,6,5,8,7,4]=>[1,8,7,6,5,4,3,2] [[1,4,5,8],[2,6],[3,7]]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>[1,4,3,2,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,3,5,8],[2,6],[4,7]]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>[1,3,5,2,4,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,5,8],[3,6],[4,7]]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>[1,2,5,4,3,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,3,4,8],[2,6],[5,7]]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>[1,3,2,4,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,4,8],[3,6],[5,7]]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>[1,2,4,3,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,8],[4,6],[5,7]]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>[1,2,3,5,4,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,3,5,8],[2,4],[6,7]]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>[1,3,2,5,4,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,5,8],[3,4],[6,7]]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>[1,2,3,5,6,8,4,7]=>[1,8,7,6,5,4,3,2] [[1,3,4,8],[2,5],[6,7]]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>[1,3,2,4,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,8],[3,5],[6,7]]=>[[1,2,3,5,7],[4,6],[8]]=>[8,4,6,1,2,3,5,7]=>[1,2,4,3,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,8],[4,5],[6,7]]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,7,5]=>[1,8,7,6,5,4,3,2] [[1,3,6,7],[2,5],[4,8]]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>[1,3,2,6,4,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6,7],[3,5],[4,8]]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>[1,2,4,6,3,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6,7],[3,4],[5,8]]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>[1,2,3,6,5,7,4,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,7],[2,6],[4,8]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>[1,3,5,2,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,7],[3,6],[5,8]]=>[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>[1,2,4,3,7,5,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,7],[4,6],[5,8]]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>[1,2,3,5,7,4,8,6]=>[1,8,7,6,5,4,3,2] [[1,3,5,7],[2,4],[6,8]]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>[1,3,2,5,7,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,5,7],[3,4],[6,8]]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>[1,2,3,5,7,6,4,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,7],[4,5],[6,8]]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>[1,2,3,4,7,6,8,5]=>[1,8,7,6,5,4,3,2] [[1,2,4,6],[3,7],[5,8]]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>[1,2,4,6,3,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,6],[4,7],[5,8]]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,4,5],[2,7],[6,8]]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>[1,3,2,4,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,5],[3,7],[6,8]]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>[1,2,4,3,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,5],[4,7],[6,8]]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>[1,2,3,5,4,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4],[5,7],[6,8]]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,5,6],[2,4],[7,8]]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,6],[2,5],[7,8]]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>[1,3,2,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,6],[3,5],[7,8]]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,6],[4,5],[7,8]]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>[1,2,3,4,6,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,3,4,5],[2,6],[7,8]]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>[1,3,2,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5],[3,6],[7,8]]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>[1,2,4,3,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5],[4,6],[7,8]]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4],[5,6],[7,8]]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,4,7,8],[2,6],[3],[5]]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>[1,4,3,7,2,5,8,6]=>[1,8,7,6,5,4,3,2] [[1,3,7,8],[2,6],[4],[5]]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>[1,3,5,7,2,4,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,7,8],[3,6],[4],[5]]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>[1,2,5,7,4,3,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,7,8],[3,5],[4],[6]]=>[[1,2,3,5],[4,8],[6],[7]]=>[7,6,4,8,1,2,3,5]=>[1,2,4,7,6,3,8,5]=>[1,8,7,6,5,4,3,2] [[1,2,7,8],[3,4],[5],[6]]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>[1,2,3,7,6,5,8,4]=>[1,8,7,6,5,4,3,2] [[1,4,6,8],[2,7],[3],[5]]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>[1,4,6,3,2,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,4,5,8],[2,7],[3],[6]]=>[[1,2,5,6,7],[3],[4],[8]]=>[8,4,3,1,2,5,6,7]=>[1,4,3,2,8,5,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,5,8],[3,7],[4],[6]]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>[1,2,5,4,8,3,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,8],[3,7],[5],[6]]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>[1,2,4,6,8,3,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,8],[4,7],[5],[6]]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>[1,2,3,6,8,5,4,7]=>[1,8,7,6,5,4,3,2] [[1,2,6,8],[3,5],[4],[7]]=>[[1,2,3,5],[4,7],[6],[8]]=>[8,6,4,7,1,2,3,5]=>[1,2,4,6,8,3,7,5]=>[1,8,7,6,5,4,3,2] [[1,2,6,8],[3,4],[5],[7]]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>[1,2,3,6,8,5,7,4]=>[1,8,7,6,5,4,3,2] [[1,2,5,8],[3,6],[4],[7]]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>[1,2,5,4,8,3,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,4,8],[3,6],[5],[7]]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>[1,2,4,3,8,7,5,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,8],[4,6],[5],[7]]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>[1,2,3,5,8,7,4,6]=>[1,8,7,6,5,4,3,2] [[1,3,5,8],[2,4],[6],[7]]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>[1,3,2,5,8,7,4,6]=>[1,8,7,6,5,4,3,2] [[1,2,5,8],[3,4],[6],[7]]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>[1,2,3,5,8,7,6,4]=>[1,8,7,6,5,4,3,2] [[1,3,4,8],[2,5],[6],[7]]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>[1,3,2,4,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,2,4,8],[3,5],[6],[7]]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>[1,2,4,3,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,2,3,8],[4,5],[6],[7]]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,2,6,7],[3,8],[4],[5]]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>[1,2,6,5,4,3,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,7],[2,8],[4],[6]]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>[1,3,5,7,2,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,7],[4,8],[5],[6]]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>[1,2,3,7,6,5,4,8]=>[1,8,7,6,5,4,3,2] [[1,4,5,6],[2,8],[3],[7]]=>[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,6],[2,8],[4],[7]]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>[1,3,5,2,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,5,6],[3,8],[4],[7]]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,6],[3,8],[5],[7]]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>[1,2,4,6,3,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,5],[3,8],[6],[7]]=>[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>[1,2,4,3,7,5,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,5],[4,8],[6],[7]]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>[1,2,3,5,7,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,4],[5,8],[6],[7]]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,8]=>[1,8,7,6,5,4,3,2] [[1,3,6,7],[2,5],[4],[8]]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>[1,3,2,6,4,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6,7],[3,5],[4],[8]]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>[1,2,4,6,3,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6,7],[3,4],[5],[8]]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>[1,2,3,6,5,7,4,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,7],[2,6],[4],[8]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>[1,3,5,2,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,4,7],[3,6],[5],[8]]=>[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>[1,2,4,3,7,5,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,7],[4,6],[5],[8]]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>[1,2,3,5,7,4,8,6]=>[1,8,7,6,5,4,3,2] [[1,3,5,7],[2,4],[6],[8]]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>[1,3,2,5,7,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,5,7],[3,4],[6],[8]]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>[1,2,3,5,7,6,4,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,7],[4,5],[6],[8]]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>[1,2,3,4,7,6,8,5]=>[1,8,7,6,5,4,3,2] [[1,2,4,6],[3,7],[5],[8]]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>[1,2,4,6,3,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,6],[4,7],[5],[8]]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,4,5],[2,7],[6],[8]]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>[1,3,2,4,5,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,5],[3,7],[6],[8]]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>[1,2,4,3,5,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,5],[4,7],[6],[8]]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>[1,2,3,5,4,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,4],[5,7],[6],[8]]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>[1,2,3,4,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,3,5,6],[2,4],[7],[8]]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>[1,3,2,5,4,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,5,6],[3,4],[7],[8]]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>[1,2,3,5,6,8,4,7]=>[1,8,7,6,5,4,3,2] [[1,3,4,6],[2,5],[7],[8]]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>[1,3,2,4,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,6],[3,5],[7],[8]]=>[[1,2,3,5,7],[4,6],[8]]=>[8,4,6,1,2,3,5,7]=>[1,2,4,3,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,6],[4,5],[7],[8]]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,7,5]=>[1,8,7,6,5,4,3,2] [[1,3,4,5],[2,6],[7],[8]]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>[1,3,2,4,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,4,5],[3,6],[7],[8]]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>[1,2,4,3,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,5],[4,6],[7],[8]]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>[1,2,3,5,4,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,4],[5,6],[7],[8]]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>[1,6,5,4,3,2,7,8]=>[1,8,7,6,5,4,3,2] [[1,4,7,8],[2],[3],[5],[6]]=>[[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>[1,4,7,6,3,2,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,7,8],[3],[4],[5],[6]]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>[1,2,7,6,5,4,3,8]=>[1,8,7,6,5,4,3,2] [[1,5,6,8],[2],[3],[4],[7]]=>[[1,2,6,7],[3],[4],[5],[8]]=>[8,5,4,3,1,2,6,7]=>[1,5,4,8,3,2,6,7]=>[1,8,7,6,5,4,3,2] [[1,4,6,8],[2],[3],[5],[7]]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>[1,4,6,8,3,2,5,7]=>[1,8,7,6,5,4,3,2] [[1,3,6,8],[2],[4],[5],[7]]=>[[1,2,4,7],[3],[5],[6],[8]]=>[8,6,5,3,1,2,4,7]=>[1,3,6,8,5,2,4,7]=>[1,8,7,6,5,4,3,2] [[1,2,6,8],[3],[4],[5],[7]]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>[1,2,6,8,5,4,3,7]=>[1,8,7,6,5,4,3,2] [[1,3,5,8],[2],[4],[6],[7]]=>[[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>[1,3,5,8,7,2,4,6]=>[1,8,7,6,5,4,3,2] [[1,2,5,8],[3],[4],[6],[7]]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>[1,2,5,8,7,4,3,6]=>[1,8,7,6,5,4,3,2] [[1,3,4,8],[2],[5],[6],[7]]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>[1,3,2,8,7,6,4,5]=>[1,8,7,6,5,4,3,2] [[1,2,4,8],[3],[5],[6],[7]]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>[1,2,4,8,7,6,3,5]=>[1,8,7,6,5,4,3,2] [[1,2,3,8],[4],[5],[6],[7]]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4]=>[1,8,7,6,5,4,3,2] [[1,2,6,7],[3],[4],[5],[8]]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>[1,2,6,5,4,3,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,5,7],[2],[4],[6],[8]]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>[1,3,5,7,2,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3,7],[4],[5],[6],[8]]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>[1,2,3,7,6,5,4,8]=>[1,8,7,6,5,4,3,2] [[1,4,5,6],[2],[3],[7],[8]]=>[[1,2,5,6,7],[3],[4],[8]]=>[8,4,3,1,2,5,6,7]=>[1,4,3,2,8,5,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,5,6],[3],[4],[7],[8]]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>[1,2,5,4,8,3,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,6],[3],[5],[7],[8]]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>[1,2,4,6,8,3,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,3,6],[4],[5],[7],[8]]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>[1,2,3,6,8,5,4,7]=>[1,8,7,6,5,4,3,2] [[1,2,4,5],[3],[6],[7],[8]]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>[1,2,4,3,8,7,5,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,5],[4],[6],[7],[8]]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>[1,2,3,5,8,7,4,6]=>[1,8,7,6,5,4,3,2] [[1,2,3,4],[5],[6],[7],[8]]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,4,7],[2,5,8],[3,6]]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>[1,4,3,2,7,6,5,8]=>[1,8,7,6,5,4,3,2] [[1,3,7],[2,4,8],[5,6]]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>[1,3,2,5,7,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,7],[3,4,8],[5,6]]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>[1,2,3,5,7,6,4,8]=>[1,8,7,6,5,4,3,2] [[1,3,6],[2,5,8],[4,7]]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>[1,3,2,6,4,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,5,8],[4,7]]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>[1,2,4,6,3,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,4,8],[5,7]]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>[1,2,3,6,5,7,4,8]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,6,8],[4,7]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>[1,3,5,2,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,3,4],[2,6,8],[5,7]]=>[[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>[1,3,2,4,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,6,8],[5,7]]=>[[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>[1,2,4,3,5,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,6,8],[5,7]]=>[[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,4,8],[6,7]]=>[[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,4],[2,5,8],[6,7]]=>[[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>[1,3,2,4,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,5,8],[6,7]]=>[[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,5,8],[6,7]]=>[[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>[1,2,3,4,6,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,5,7],[4,8]]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>[1,2,4,6,3,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,6],[2,4,7],[5,8]]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>[1,3,2,6,5,4,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,4,7],[5,8]]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,4],[2,6,7],[5,8]]=>[[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>[1,3,2,4,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,6,7],[5,8]]=>[[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>[1,2,4,3,5,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,6,7],[5,8]]=>[[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>[1,2,3,5,4,6,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,5],[3,4,7],[6,8]]=>[[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>[1,2,3,5,6,4,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,5,7],[6,8]]=>[[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>[1,2,4,3,6,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,5,7],[6,8]]=>[[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,4,6],[7,8]]=>[[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>[1,3,2,5,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,5],[3,4,6],[7,8]]=>[[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>[1,2,3,5,4,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,3,4],[2,5,6],[7,8]]=>[[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>[1,3,2,4,5,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,5,6],[7,8]]=>[[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>[1,2,4,3,5,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,5,6],[7,8]]=>[[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6]=>[1,8,7,6,5,4,3,2] [[1,3,7],[2,6,8],[4],[5]]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>[1,3,5,7,2,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,7],[3,4,8],[5],[6]]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>[1,2,3,7,6,5,4,8]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,7,8],[4],[5]]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>[1,2,6,5,4,3,7,8]=>[1,8,7,6,5,4,3,2] [[1,4,5],[2,7,8],[3],[6]]=>[[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,7,8],[4],[6]]=>[[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>[1,3,5,2,4,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,5],[3,7,8],[4],[6]]=>[[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,7,8],[5],[6]]=>[[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>[1,2,4,6,3,5,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,6],[2,5,8],[4],[7]]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>[1,3,2,6,4,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,5,8],[4],[7]]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>[1,2,4,6,3,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,4,8],[5],[7]]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>[1,2,3,6,5,7,4,8]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,6,8],[4],[7]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>[1,3,5,2,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,6,8],[5],[7]]=>[[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>[1,2,4,3,7,5,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,6,8],[5],[7]]=>[[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>[1,2,3,5,7,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,4,8],[6],[7]]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>[1,3,2,5,7,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,5],[3,4,8],[6],[7]]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>[1,2,3,5,7,6,4,8]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,5,8],[6],[7]]=>[[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,5,7],[4],[8]]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>[1,2,4,6,3,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,6],[2,4,7],[5],[8]]=>[[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>[1,3,2,6,5,4,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,4,7],[5],[8]]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,4],[2,6,7],[5],[8]]=>[[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>[1,3,2,4,5,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,6,7],[5],[8]]=>[[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>[1,2,4,3,5,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,6,7],[5],[8]]=>[[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>[1,2,3,5,4,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,4,7],[6],[8]]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>[1,3,2,5,4,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,5],[3,4,7],[6],[8]]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>[1,2,3,5,6,8,4,7]=>[1,8,7,6,5,4,3,2] [[1,3,4],[2,5,7],[6],[8]]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>[1,3,2,4,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,5,7],[6],[8]]=>[[1,2,3,5,7],[4,6],[8]]=>[8,4,6,1,2,3,5,7]=>[1,2,4,3,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,5,7],[6],[8]]=>[[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>[1,2,3,4,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,4,6],[7],[8]]=>[[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>[1,3,2,5,4,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,5],[3,4,6],[7],[8]]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>[1,2,3,5,4,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,3,4],[2,5,6],[7],[8]]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>[1,3,2,4,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,5,6],[7],[8]]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>[1,2,4,3,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,5,6],[7],[8]]=>[[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,5,8],[2,6],[3,7],[4]]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>[1,5,4,3,2,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,8],[3,6],[4,7],[5]]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>[1,2,5,4,8,3,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,8],[3,5],[4,7],[6]]=>[[1,2,3,5],[4,7],[6],[8]]=>[8,6,4,7,1,2,3,5]=>[1,2,4,6,8,3,7,5]=>[1,8,7,6,5,4,3,2] [[1,2,8],[3,4],[5,7],[6]]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>[1,2,3,6,8,5,7,4]=>[1,8,7,6,5,4,3,2] [[1,4,8],[2,5],[3,6],[7]]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>[1,4,3,2,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,3,8],[2,5],[4,6],[7]]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>[1,3,2,4,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,2,8],[3,5],[4,6],[7]]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>[1,2,4,3,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,3,8],[2,4],[5,6],[7]]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>[1,3,2,5,8,7,4,6]=>[1,8,7,6,5,4,3,2] [[1,2,8],[3,4],[5,6],[7]]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>[1,2,3,5,8,7,6,4]=>[1,8,7,6,5,4,3,2] [[1,4,7],[2,6],[3,8],[5]]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>[1,4,3,7,2,5,8,6]=>[1,8,7,6,5,4,3,2] [[1,3,7],[2,6],[4,8],[5]]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>[1,3,5,7,2,4,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,7],[3,6],[4,8],[5]]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>[1,2,5,7,4,3,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,7],[3,5],[4,8],[6]]=>[[1,2,3,5],[4,8],[6],[7]]=>[7,6,4,8,1,2,3,5]=>[1,2,4,7,6,3,8,5]=>[1,8,7,6,5,4,3,2] [[1,2,7],[3,4],[5,8],[6]]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>[1,2,3,7,6,5,8,4]=>[1,8,7,6,5,4,3,2] [[1,4,6],[2,7],[3,8],[5]]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>[1,4,6,3,2,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,7],[5,8],[6]]=>[[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>[1,2,4,6,3,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,7],[5,8],[6]]=>[[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,8,7]=>[1,8,7,6,5,4,3,2] [[1,3,6],[2,5],[4,8],[7]]=>[[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>[1,3,2,6,4,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,5],[4,8],[7]]=>[[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>[1,2,4,6,3,7,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,4],[5,8],[7]]=>[[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>[1,2,3,6,5,7,4,8]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,6],[4,8],[7]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>[1,3,5,2,4,7,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,6],[5,8],[7]]=>[[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>[1,2,4,3,7,5,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,6],[5,8],[7]]=>[[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>[1,2,3,5,7,4,8,6]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,4],[6,8],[7]]=>[[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>[1,3,2,5,7,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,5],[3,4],[6,8],[7]]=>[[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>[1,2,3,5,7,6,4,8]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,5],[6,8],[7]]=>[[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>[1,2,3,4,7,6,8,5]=>[1,8,7,6,5,4,3,2] [[1,4,7],[2,5],[3,6],[8]]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>[1,4,3,2,7,6,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,7],[3,5],[4,6],[8]]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>[1,2,4,3,7,8,6,5]=>[1,8,7,6,5,4,3,2] [[1,3,7],[2,4],[5,6],[8]]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>[1,3,2,5,7,8,4,6]=>[1,8,7,6,5,4,3,2] [[1,2,7],[3,4],[5,6],[8]]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>[1,2,3,5,7,8,6,4]=>[1,8,7,6,5,4,3,2] [[1,3,6],[2,5],[4,7],[8]]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>[1,3,2,6,4,8,7,5]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,5],[4,7],[8]]=>[[1,2,3,5],[4,7],[6,8]]=>[6,8,4,7,1,2,3,5]=>[1,2,4,6,3,8,7,5]=>[1,8,7,6,5,4,3,2] [[1,3,6],[2,4],[5,7],[8]]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>[1,3,2,6,5,8,4,7]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,4],[5,7],[8]]=>[[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>[1,2,3,6,5,8,7,4]=>[1,8,7,6,5,4,3,2] [[1,4,5],[2,6],[3,7],[8]]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>[1,4,3,2,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,6],[4,7],[8]]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>[1,3,5,2,4,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,5],[3,6],[4,7],[8]]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>[1,2,5,4,3,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,3,4],[2,6],[5,7],[8]]=>[[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>[1,3,2,4,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,6],[5,7],[8]]=>[[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>[1,2,4,3,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,6],[5,7],[8]]=>[[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>[1,2,3,5,4,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,4],[6,7],[8]]=>[[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>[1,3,2,5,4,8,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,5],[3,4],[6,7],[8]]=>[[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>[1,2,3,5,6,8,4,7]=>[1,8,7,6,5,4,3,2] [[1,3,4],[2,5],[6,7],[8]]=>[[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>[1,3,2,4,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,5],[6,7],[8]]=>[[1,2,3,5,7],[4,6],[8]]=>[8,4,6,1,2,3,5,7]=>[1,2,4,3,6,8,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,5],[6,7],[8]]=>[[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,7,5]=>[1,8,7,6,5,4,3,2] [[1,6,8],[2,7],[3],[4],[5]]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>[1,6,5,4,3,2,8,7]=>[1,8,7,6,5,4,3,2] [[1,5,8],[2,7],[3],[4],[6]]=>[[1,2,6,7],[3],[4],[5],[8]]=>[8,5,4,3,1,2,6,7]=>[1,5,4,8,3,2,6,7]=>[1,8,7,6,5,4,3,2] [[1,4,8],[2,7],[3],[5],[6]]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>[1,4,6,8,3,2,5,7]=>[1,8,7,6,5,4,3,2] [[1,3,8],[2,7],[4],[5],[6]]=>[[1,2,4,7],[3],[5],[6],[8]]=>[8,6,5,3,1,2,4,7]=>[1,3,6,8,5,2,4,7]=>[1,8,7,6,5,4,3,2] [[1,2,8],[3,7],[4],[5],[6]]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>[1,2,6,8,5,4,3,7]=>[1,8,7,6,5,4,3,2] [[1,3,8],[2,6],[4],[5],[7]]=>[[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>[1,3,5,8,7,2,4,6]=>[1,8,7,6,5,4,3,2] [[1,2,8],[3,6],[4],[5],[7]]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>[1,2,5,8,7,4,3,6]=>[1,8,7,6,5,4,3,2] [[1,4,8],[2,5],[3],[6],[7]]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>[1,4,3,8,7,2,6,5]=>[1,8,7,6,5,4,3,2] [[1,3,8],[2,5],[4],[6],[7]]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>[1,3,2,8,7,6,4,5]=>[1,8,7,6,5,4,3,2] [[1,2,8],[3,5],[4],[6],[7]]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>[1,2,4,8,7,6,3,5]=>[1,8,7,6,5,4,3,2] [[1,3,8],[2,4],[5],[6],[7]]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>[1,3,2,8,7,6,5,4]=>[1,8,7,6,5,4,3,2] [[1,2,8],[3,4],[5],[6],[7]]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4]=>[1,8,7,6,5,4,3,2] [[1,6,7],[2,8],[3],[4],[5]]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>[1,6,5,4,3,2,7,8]=>[1,8,7,6,5,4,3,2] [[1,4,7],[2,8],[3],[5],[6]]=>[[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>[1,4,7,6,3,2,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,7],[3,8],[4],[5],[6]]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>[1,2,7,6,5,4,3,8]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,8],[4],[5],[7]]=>[[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>[1,2,6,5,4,3,7,8]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,8],[4],[6],[7]]=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>[1,3,5,7,2,4,6,8]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,8],[5],[6],[7]]=>[[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>[1,2,3,7,6,5,4,8]=>[1,8,7,6,5,4,3,2] [[1,4,7],[2,6],[3],[5],[8]]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>[1,4,3,7,2,5,8,6]=>[1,8,7,6,5,4,3,2] [[1,3,7],[2,6],[4],[5],[8]]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>[1,3,5,7,2,4,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,7],[3,6],[4],[5],[8]]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>[1,2,5,7,4,3,8,6]=>[1,8,7,6,5,4,3,2] [[1,2,7],[3,5],[4],[6],[8]]=>[[1,2,3,5],[4,8],[6],[7]]=>[7,6,4,8,1,2,3,5]=>[1,2,4,7,6,3,8,5]=>[1,8,7,6,5,4,3,2] [[1,2,7],[3,4],[5],[6],[8]]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>[1,2,3,7,6,5,8,4]=>[1,8,7,6,5,4,3,2] [[1,4,6],[2,7],[3],[5],[8]]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>[1,4,6,3,2,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,4,5],[2,7],[3],[6],[8]]=>[[1,2,5,6,7],[3],[4],[8]]=>[8,4,3,1,2,5,6,7]=>[1,4,3,2,8,5,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,5],[3,7],[4],[6],[8]]=>[[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>[1,2,5,4,8,3,6,7]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,7],[5],[6],[8]]=>[[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>[1,2,4,6,8,3,5,7]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,7],[5],[6],[8]]=>[[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>[1,2,3,6,8,5,4,7]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,5],[4],[7],[8]]=>[[1,2,3,5],[4,7],[6],[8]]=>[8,6,4,7,1,2,3,5]=>[1,2,4,6,8,3,7,5]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3,4],[5],[7],[8]]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>[1,2,3,6,8,5,7,4]=>[1,8,7,6,5,4,3,2] [[1,2,5],[3,6],[4],[7],[8]]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>[1,2,5,4,8,3,7,6]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,6],[5],[7],[8]]=>[[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>[1,2,4,3,8,7,5,6]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,6],[5],[7],[8]]=>[[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>[1,2,3,5,8,7,4,6]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2,4],[6],[7],[8]]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>[1,3,2,5,8,7,4,6]=>[1,8,7,6,5,4,3,2] [[1,2,5],[3,4],[6],[7],[8]]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>[1,2,3,5,8,7,6,4]=>[1,8,7,6,5,4,3,2] [[1,3,4],[2,5],[6],[7],[8]]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>[1,3,2,4,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3,5],[6],[7],[8]]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>[1,2,4,3,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4,5],[6],[7],[8]]=>[[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>[1,7,6,5,4,3,2,8]=>[1,8,7,6,5,4,3,2] [[1,6,8],[2],[3],[4],[5],[7]]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>[1,6,8,5,4,3,2,7]=>[1,8,7,6,5,4,3,2] [[1,5,8],[2],[3],[4],[6],[7]]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>[1,5,8,7,4,3,2,6]=>[1,8,7,6,5,4,3,2] [[1,3,8],[2],[4],[5],[6],[7]]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>[1,3,8,7,6,5,2,4]=>[1,8,7,6,5,4,3,2] [[1,2,8],[3],[4],[5],[6],[7]]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>[1,2,8,7,6,5,4,3]=>[1,8,7,6,5,4,3,2] [[1,6,7],[2],[3],[4],[5],[8]]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>[1,6,5,4,3,2,7,8]=>[1,8,7,6,5,4,3,2] [[1,4,7],[2],[3],[5],[6],[8]]=>[[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>[1,4,7,6,3,2,5,8]=>[1,8,7,6,5,4,3,2] [[1,2,7],[3],[4],[5],[6],[8]]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>[1,2,7,6,5,4,3,8]=>[1,8,7,6,5,4,3,2] [[1,5,6],[2],[3],[4],[7],[8]]=>[[1,2,6,7],[3],[4],[5],[8]]=>[8,5,4,3,1,2,6,7]=>[1,5,4,8,3,2,6,7]=>[1,8,7,6,5,4,3,2] [[1,4,6],[2],[3],[5],[7],[8]]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>[1,4,6,8,3,2,5,7]=>[1,8,7,6,5,4,3,2] [[1,3,6],[2],[4],[5],[7],[8]]=>[[1,2,4,7],[3],[5],[6],[8]]=>[8,6,5,3,1,2,4,7]=>[1,3,6,8,5,2,4,7]=>[1,8,7,6,5,4,3,2] [[1,2,6],[3],[4],[5],[7],[8]]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>[1,2,6,8,5,4,3,7]=>[1,8,7,6,5,4,3,2] [[1,3,5],[2],[4],[6],[7],[8]]=>[[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>[1,3,5,8,7,2,4,6]=>[1,8,7,6,5,4,3,2] [[1,2,5],[3],[4],[6],[7],[8]]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>[1,2,5,8,7,4,3,6]=>[1,8,7,6,5,4,3,2] [[1,3,4],[2],[5],[6],[7],[8]]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>[1,3,2,8,7,6,4,5]=>[1,8,7,6,5,4,3,2] [[1,2,4],[3],[5],[6],[7],[8]]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>[1,2,4,8,7,6,3,5]=>[1,8,7,6,5,4,3,2] [[1,2,3],[4],[5],[6],[7],[8]]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4]=>[1,8,7,6,5,4,3,2] [[1,5],[2,6],[3,7],[4,8]]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>[1,5,4,3,2,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,4],[2,6],[3,7],[5,8]]=>[[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>[1,4,3,2,5,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,3],[2,6],[4,7],[5,8]]=>[[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>[1,3,5,2,4,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2],[3,6],[4,7],[5,8]]=>[[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>[1,2,5,4,3,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,3],[2,5],[4,7],[6,8]]=>[[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>[1,3,2,6,4,8,7,5]=>[1,8,7,6,5,4,3,2] [[1,2],[3,5],[4,7],[6,8]]=>[[1,2,3,5],[4,7],[6,8]]=>[6,8,4,7,1,2,3,5]=>[1,2,4,6,3,8,7,5]=>[1,8,7,6,5,4,3,2] [[1,3],[2,4],[5,7],[6,8]]=>[[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>[1,3,2,6,5,8,4,7]=>[1,8,7,6,5,4,3,2] [[1,2],[3,4],[5,7],[6,8]]=>[[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>[1,2,3,6,5,8,7,4]=>[1,8,7,6,5,4,3,2] [[1,4],[2,5],[3,6],[7,8]]=>[[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>[1,4,3,2,7,6,5,8]=>[1,8,7,6,5,4,3,2] [[1,2],[3,5],[4,6],[7,8]]=>[[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>[1,2,4,3,7,8,6,5]=>[1,8,7,6,5,4,3,2] [[1,3],[2,4],[5,6],[7,8]]=>[[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>[1,3,2,5,7,8,4,6]=>[1,8,7,6,5,4,3,2] [[1,2],[3,4],[5,6],[7,8]]=>[[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>[1,2,3,5,7,8,6,4]=>[1,8,7,6,5,4,3,2] [[1,6],[2,7],[3,8],[4],[5]]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>[1,6,5,4,3,2,8,7]=>[1,8,7,6,5,4,3,2] [[1,4],[2,7],[3,8],[5],[6]]=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>[1,4,6,3,2,5,8,7]=>[1,8,7,6,5,4,3,2] [[1,4],[2,6],[3,8],[5],[7]]=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>[1,4,3,7,2,5,8,6]=>[1,8,7,6,5,4,3,2] [[1,3],[2,6],[4,8],[5],[7]]=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>[1,3,5,7,2,4,8,6]=>[1,8,7,6,5,4,3,2] [[1,2],[3,6],[4,8],[5],[7]]=>[[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>[1,2,5,7,4,3,8,6]=>[1,8,7,6,5,4,3,2] [[1,2],[3,5],[4,8],[6],[7]]=>[[1,2,3,5],[4,8],[6],[7]]=>[7,6,4,8,1,2,3,5]=>[1,2,4,7,6,3,8,5]=>[1,8,7,6,5,4,3,2] [[1,2],[3,4],[5,8],[6],[7]]=>[[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>[1,2,3,7,6,5,8,4]=>[1,8,7,6,5,4,3,2] [[1,5],[2,6],[3,7],[4],[8]]=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>[1,5,4,3,2,8,7,6]=>[1,8,7,6,5,4,3,2] [[1,2],[3,6],[4,7],[5],[8]]=>[[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>[1,2,5,4,8,3,7,6]=>[1,8,7,6,5,4,3,2] [[1,2],[3,5],[4,7],[6],[8]]=>[[1,2,3,5],[4,7],[6],[8]]=>[8,6,4,7,1,2,3,5]=>[1,2,4,6,8,3,7,5]=>[1,8,7,6,5,4,3,2] [[1,2],[3,4],[5,7],[6],[8]]=>[[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>[1,2,3,6,8,5,7,4]=>[1,8,7,6,5,4,3,2] [[1,4],[2,5],[3,6],[7],[8]]=>[[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>[1,4,3,2,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,3],[2,5],[4,6],[7],[8]]=>[[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>[1,3,2,4,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,2],[3,5],[4,6],[7],[8]]=>[[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>[1,2,4,3,8,7,6,5]=>[1,8,7,6,5,4,3,2] [[1,3],[2,4],[5,6],[7],[8]]=>[[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>[1,3,2,5,8,7,4,6]=>[1,8,7,6,5,4,3,2] [[1,2],[3,4],[5,6],[7],[8]]=>[[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>[1,2,3,5,8,7,6,4]=>[1,8,7,6,5,4,3,2] [[1,7],[2,8],[3],[4],[5],[6]]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>[1,7,6,5,4,3,2,8]=>[1,8,7,6,5,4,3,2] [[1,6],[2,8],[3],[4],[5],[7]]=>[[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>[1,6,5,4,3,2,7,8]=>[1,8,7,6,5,4,3,2] [[1,4],[2,8],[3],[5],[6],[7]]=>[[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>[1,4,7,6,3,2,5,8]=>[1,8,7,6,5,4,3,2] [[1,2],[3,8],[4],[5],[6],[7]]=>[[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>[1,2,7,6,5,4,3,8]=>[1,8,7,6,5,4,3,2] [[1,6],[2,7],[3],[4],[5],[8]]=>[[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>[1,6,5,4,3,2,8,7]=>[1,8,7,6,5,4,3,2] [[1,5],[2,7],[3],[4],[6],[8]]=>[[1,2,6,7],[3],[4],[5],[8]]=>[8,5,4,3,1,2,6,7]=>[1,5,4,8,3,2,6,7]=>[1,8,7,6,5,4,3,2] [[1,4],[2,7],[3],[5],[6],[8]]=>[[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>[1,4,6,8,3,2,5,7]=>[1,8,7,6,5,4,3,2] [[1,3],[2,7],[4],[5],[6],[8]]=>[[1,2,4,7],[3],[5],[6],[8]]=>[8,6,5,3,1,2,4,7]=>[1,3,6,8,5,2,4,7]=>[1,8,7,6,5,4,3,2] [[1,2],[3,7],[4],[5],[6],[8]]=>[[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>[1,2,6,8,5,4,3,7]=>[1,8,7,6,5,4,3,2] [[1,3],[2,6],[4],[5],[7],[8]]=>[[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>[1,3,5,8,7,2,4,6]=>[1,8,7,6,5,4,3,2] [[1,2],[3,6],[4],[5],[7],[8]]=>[[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>[1,2,5,8,7,4,3,6]=>[1,8,7,6,5,4,3,2] [[1,4],[2,5],[3],[6],[7],[8]]=>[[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>[1,4,3,8,7,2,6,5]=>[1,8,7,6,5,4,3,2] [[1,3],[2,5],[4],[6],[7],[8]]=>[[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>[1,3,2,8,7,6,4,5]=>[1,8,7,6,5,4,3,2] [[1,2],[3,5],[4],[6],[7],[8]]=>[[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>[1,2,4,8,7,6,3,5]=>[1,8,7,6,5,4,3,2] [[1,3],[2,4],[5],[6],[7],[8]]=>[[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>[1,3,2,8,7,6,5,4]=>[1,8,7,6,5,4,3,2] [[1,2],[3,4],[5],[6],[7],[8]]=>[[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4]=>[1,8,7,6,5,4,3,2] [[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2] [[1,7],[2],[3],[4],[5],[6],[8]]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>[1,7,6,5,4,3,2,8]=>[1,8,7,6,5,4,3,2] [[1,6],[2],[3],[4],[5],[7],[8]]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>[1,6,8,5,4,3,2,7]=>[1,8,7,6,5,4,3,2] [[1,5],[2],[3],[4],[6],[7],[8]]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>[1,5,8,7,4,3,2,6]=>[1,8,7,6,5,4,3,2] [[1,3],[2],[4],[5],[6],[7],[8]]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>[1,3,8,7,6,5,2,4]=>[1,8,7,6,5,4,3,2] [[1,2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>[1,2,8,7,6,5,4,3]=>[1,8,7,6,5,4,3,2] [[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2] [[1,3,5,7,9],[2,4,6,8,10]]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,4,5,6],[2,7,8,9,10]]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,5,7,9],[3,4,6,8,10]]=>[[1,2,3,4,6,8,10],[5,7,9]]=>[5,7,9,1,2,3,4,6,8,10]=>[1,2,3,5,4,7,6,9,8,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,4,5,6],[3,7,8,9,10]]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,7,8],[4,5,6,9,10]]=>[[1,2,3,4,5,6,9,10],[7,8]]=>[7,8,1,2,3,4,5,6,9,10]=>[1,2,3,4,5,7,8,6,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,5,6],[4,7,8,9,10]]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[5,1,2,3,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,9],[5,6,7,8,10]]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,8],[5,6,7,9,10]]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,7],[5,6,8,9,10]]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,1,2,3,4,5,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,6],[5,7,8,9,10]]=>[[1,2,3,4,5,7,8,9,10],[6]]=>[6,1,2,3,4,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5],[6,7,8,9,10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[[1,2,3,4,5,6,7,8,9,10,11,12]]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,12,11,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,8,9]]=>[[1,2,3,4,5,6,7,8,9]]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,8],[9]]=>[[1,2,3,4,5,6,7,8,9]]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7],[8,9]]=>[[1,2,3,4,5,6,7,8,9]]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7],[8],[9]]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6],[7,8,9]]=>[[1,2,3,4,5,6,7,8,9]]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6],[7,8],[9]]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6],[7],[8],[9]]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5],[6,7,8,9]]=>[[1,2,3,4,5,6,7,8,9]]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5],[6,7,8],[9]]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5],[6,7],[8,9]]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5],[6,7],[8],[9]]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5],[6],[7],[8],[9]]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6,7,8],[9]]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6,7],[8,9]]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6,7],[8],[9]]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6],[7,8],[9]]=>[[1,2,3,4,5,6],[7,8],[9]]=>[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,9,8,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6],[7],[8],[9]]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4],[5],[6],[7],[8],[9]]=>[[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]=>[1,9,8,7,6,5,4,3,2] [[1,2,3],[4,5,6],[7,8,9]]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3],[4,5,6],[7,8],[9]]=>[[1,2,3,4,5,6],[7,8],[9]]=>[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,9,8,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3],[4,5,6],[7],[8],[9]]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3],[4,5],[6,7],[8,9]]=>[[1,2,3,4,5],[6,7],[8,9]]=>[8,9,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,9,7,5]=>[1,9,8,7,6,5,4,3,2] [[1,2,3],[4,5],[6,7],[8],[9]]=>[[1,2,3,4,5],[6,7],[8],[9]]=>[9,8,6,7,1,2,3,4,5]=>[1,2,3,4,6,9,8,7,5]=>[1,9,8,7,6,5,4,3,2] [[1,2,3],[4,5],[6],[7],[8],[9]]=>[[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]=>[1,9,8,7,6,5,4,3,2] [[1,2,3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,1,2,3,4]=>[1,2,3,9,8,7,6,5,4]=>[1,9,8,7,6,5,4,3,2] [[1,2],[3,4],[5,6],[7,8],[9]]=>[[1,2,3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,1,2,3,4]=>[1,2,3,5,7,9,8,6,4]=>[1,9,8,7,6,5,4,3,2] [[1,2],[3,4],[5,6],[7],[8],[9]]=>[[1,2,3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,1,2,3,4]=>[1,2,3,5,9,8,7,6,4]=>[1,9,8,7,6,5,4,3,2] [[1,2],[3,4],[5],[6],[7],[8],[9]]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,1,2,3,4]=>[1,2,3,9,8,7,6,5,4]=>[1,9,8,7,6,5,4,3,2] [[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3]=>[1,2,9,8,7,6,5,4,3]=>[1,9,8,7,6,5,4,3,2] [[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,8,9,10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,8,9],[10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,8],[9,10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,8],[9],[10]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7],[8,9,10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7],[8,9],[10]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7],[8],[9],[10]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6],[7,8,9,10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6],[7,8,9],[10]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6],[7,8],[9,10]]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6],[7,8],[9],[10]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6],[7],[8],[9],[10]]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5],[6,7,8,9],[10]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5],[6,7,8],[9,10]]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5],[6,7,8],[9],[10]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5],[6,7],[8,9],[10]]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[10,8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,10,9,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5],[6,7],[8],[9],[10]]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6,7,8],[9,10]]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6,7,8],[9],[10]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6,7],[8,9,10]]=>[[1,2,3,4,5,6,7],[8,9,10]]=>[8,9,10,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,10,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6,7],[8,9],[10]]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[10,8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,10,9,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6,7],[8],[9],[10]]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6],[7,8],[9,10]]=>[[1,2,3,4,5,6],[7,8],[9,10]]=>[9,10,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,9,10,8,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6],[7,8],[9],[10]]=>[[1,2,3,4,5,6],[7,8],[9],[10]]=>[10,9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,10,9,8,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,10,9,8,7,6,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3],[4,5,6],[7,8,9],[10]]=>[[1,2,3,4,5,6],[7,8,9],[10]]=>[10,7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,10,9,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3],[4,5,6],[7,8],[9,10]]=>[[1,2,3,4,5,6],[7,8],[9,10]]=>[9,10,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,9,10,8,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3],[4,5,6],[7,8],[9],[10]]=>[[1,2,3,4,5,6],[7,8],[9],[10]]=>[10,9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,10,9,8,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3],[4,5,6],[7],[8],[9],[10]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3],[4,5],[6,7],[8,9],[10]]=>[[1,2,3,4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,10,9,7,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3],[4,5],[6,7],[8],[9],[10]]=>[[1,2,3,4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,1,2,3,4,5]=>[1,2,3,4,6,10,9,8,7,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,10,9,8,7,6,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,10,9,8,7,6,5,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,2],[3,4],[5,6],[7,8],[9,10]]=>[[1,2,3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,1,2,3,4]=>[1,2,3,5,7,9,10,8,6,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,2],[3,4],[5,6],[7,8],[9],[10]]=>[[1,2,3,4],[5,6],[7,8],[9],[10]]=>[10,9,7,8,5,6,1,2,3,4]=>[1,2,3,5,7,10,9,8,6,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>[[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[10,9,8,7,5,6,1,2,3,4]=>[1,2,3,5,10,9,8,7,6,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,10,9,8,7,6,5,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,1,2,3]=>[1,2,10,9,8,7,6,5,4,3]=>[1,10,9,8,7,6,5,4,3,2] [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,1,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,8,9,10,11,12]]=>[[1,2,3,4,5,6,7,8,9,10,11,12]]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,12,11,10,9,8,7,6,5,4,3,2] [[1,3,4,5,6,7,8,9],[2]]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,4,5,6,7,8,9],[2],[3]]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,3,1,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,7,8,9],[4,5,6]]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,9],[5,6,7,8]]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,3,4,5],[2,7,8,9],[6]]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,9],[3,4],[5,6],[7,8]]=>[[1,2,3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,1,2,3,4]=>[1,2,3,5,7,9,8,6,4]=>[1,9,8,7,6,5,4,3,2] [[1,8,9],[2],[3],[4],[5],[6],[7]]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9]=>[1,8,7,6,5,4,3,2,9]=>[1,9,8,7,6,5,4,3,2] [[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2] [[1,3,4,5,6,7,8,9,10],[2]]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,7,8,9,10],[4,5,6]]=>[[1,2,3,4,5,6,10],[7,8,9]]=>[7,8,9,1,2,3,4,5,6,10]=>[1,2,3,4,5,7,8,9,6,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,9,10],[5,6,7,8]]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,10],[4,5,6],[7,8,9]]=>[[1,2,3,4,5,6],[7,8,9],[10]]=>[10,7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,10,9,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,9,10],[3,4],[5,6],[7,8]]=>[[1,2,3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,1,2,3,4]=>[1,2,3,5,7,9,10,8,6,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2,10]=>[1,9,8,7,6,5,4,3,2,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,1,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2] [[1,8],[2,9],[3],[4],[5],[6],[7]]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9]=>[1,8,7,6,5,4,3,2,9]=>[1,9,8,7,6,5,4,3,2] [[1,5,9],[2,6],[3,7],[4,8]]=>[[1,2,6],[3,7],[4,8],[5,9]]=>[5,9,4,8,3,7,1,2,6]=>[1,5,4,3,2,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,3,5,7,9],[2,4,6,8]]=>[[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>[1,3,2,5,4,7,6,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2,10]=>[1,9,8,7,6,5,4,3,2,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,4,7,10],[2,5,8],[3,6,9]]=>[[1,2,5,8],[3,6,9],[4,7,10]]=>[4,7,10,3,6,9,1,2,5,8]=>[1,4,3,2,7,6,5,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,5,7,9,10],[2,4,6,8]]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,3],[2,4],[5],[6],[7],[8],[9]]=>[[1,2,4],[3,5],[6],[7],[8],[9]]=>[9,8,7,6,3,5,1,2,4]=>[1,3,2,9,8,7,6,5,4]=>[1,9,8,7,6,5,4,3,2] [[1,4],[2,5],[3,6],[7],[8],[9]]=>[[1,2,5],[3,6],[4,7],[8],[9]]=>[9,8,4,7,3,6,1,2,5]=>[1,4,3,2,9,8,7,6,5]=>[1,9,8,7,6,5,4,3,2] [[1,2,4],[3,5],[6],[7],[8],[9]]=>[[1,2,3,5],[4,6],[7],[8],[9]]=>[9,8,7,4,6,1,2,3,5]=>[1,2,4,3,9,8,7,6,5]=>[1,9,8,7,6,5,4,3,2] [[1,5],[2,6],[3,7],[4,8],[9]]=>[[1,2,6],[3,7],[4,8],[5,9]]=>[5,9,4,8,3,7,1,2,6]=>[1,5,4,3,2,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,5],[3,6],[4,7],[8],[9]]=>[[1,2,3,6],[4,7],[5,8],[9]]=>[9,5,8,4,7,1,2,3,6]=>[1,2,5,4,3,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,3,5],[2,4,6],[7],[8],[9]]=>[[1,2,4,6],[3,5,7],[8],[9]]=>[9,8,3,5,7,1,2,4,6]=>[1,3,2,5,4,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,5],[4,6],[7],[8],[9]]=>[[1,2,3,4,6],[5,7],[8],[9]]=>[9,8,5,7,1,2,3,4,6]=>[1,2,3,5,4,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,3,6],[2,4,7],[5,8],[9]]=>[[1,2,4,7],[3,5,8],[6,9]]=>[6,9,3,5,8,1,2,4,7]=>[1,3,2,6,5,4,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,6],[4,7],[5,8],[9]]=>[[1,2,3,4,7],[5,8],[6,9]]=>[6,9,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,4,6],[3,5,7],[8],[9]]=>[[1,2,3,5,7],[4,6,8],[9]]=>[9,4,6,8,1,2,3,5,7]=>[1,2,4,3,6,5,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,6],[5,7],[8],[9]]=>[[1,2,3,4,5,7],[6,8],[9]]=>[9,6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,3,5,7],[2,4,6,8],[9]]=>[[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>[1,3,2,5,4,7,6,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,5,7],[4,6,8],[9]]=>[[1,2,3,4,6,8],[5,7,9]]=>[5,7,9,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,7],[6,8],[9]]=>[[1,2,3,4,5,6,8],[7,9]]=>[7,9,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,6,8],[5,7,9]]=>[[1,2,3,4,5,7,9],[6,8]]=>[6,8,1,2,3,4,5,7,9]=>[1,2,3,4,6,5,8,7,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,8],[7,9]]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,8,7,9]=>[1,9,8,7,6,5,4,3,2] [[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>[[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,3,5,1,2,4]=>[1,3,2,10,9,8,7,6,5,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>[[1,2,5],[3,6],[4,7],[8],[9],[10]]=>[10,9,8,4,7,3,6,1,2,5]=>[1,4,3,2,10,9,8,7,6,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>[[1,2,3,5],[4,6],[7],[8],[9],[10]]=>[10,9,8,7,4,6,1,2,3,5]=>[1,2,4,3,10,9,8,7,6,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,5],[2,6],[3,7],[4,8],[9],[10]]=>[[1,2,6],[3,7],[4,8],[5,9],[10]]=>[10,5,9,4,8,3,7,1,2,6]=>[1,5,4,3,2,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,5],[3,6],[4,7],[8],[9],[10]]=>[[1,2,3,6],[4,7],[5,8],[9],[10]]=>[10,9,5,8,4,7,1,2,3,6]=>[1,2,5,4,3,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,5],[2,4,6],[7],[8],[9],[10]]=>[[1,2,4,6],[3,5,7],[8],[9],[10]]=>[10,9,8,3,5,7,1,2,4,6]=>[1,3,2,5,4,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,5],[4,6],[7],[8],[9],[10]]=>[[1,2,3,4,6],[5,7],[8],[9],[10]]=>[10,9,8,5,7,1,2,3,4,6]=>[1,2,3,5,4,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,6],[3,7],[4,8],[5,9],[10]]=>[[1,2,3,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,1,2,3,7]=>[1,2,6,5,4,3,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,6],[2,4,7],[5,8],[9],[10]]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[10,6,9,3,5,8,1,2,4,7]=>[1,3,2,6,5,4,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,6],[4,7],[5,8],[9],[10]]=>[[1,2,3,4,7],[5,8],[6,9],[10]]=>[10,6,9,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,4,6],[3,5,7],[8],[9],[10]]=>[[1,2,3,5,7],[4,6,8],[9],[10]]=>[10,9,4,6,8,1,2,3,5,7]=>[1,2,4,3,6,5,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,6],[5,7],[8],[9],[10]]=>[[1,2,3,4,5,7],[6,8],[9],[10]]=>[10,9,6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,4,7],[2,5,8],[3,6,9],[10]]=>[[1,2,5,8],[3,6,9],[4,7,10]]=>[4,7,10,3,6,9,1,2,5,8]=>[1,4,3,2,7,6,5,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,4,7],[3,5,8],[6,9],[10]]=>[[1,2,3,5,8],[4,6,9],[7,10]]=>[7,10,4,6,9,1,2,3,5,8]=>[1,2,4,3,7,6,5,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,7],[5,8],[6,9],[10]]=>[[1,2,3,4,5,8],[6,9],[7,10]]=>[7,10,6,9,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,5,7],[2,4,6,8],[9],[10]]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>[10,3,5,7,9,1,2,4,6,8]=>[1,3,2,5,4,7,6,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,5,7],[4,6,8],[9],[10]]=>[[1,2,3,4,6,8],[5,7,9],[10]]=>[10,5,7,9,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,7],[6,8],[9],[10]]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>[10,7,9,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,4,6,8],[3,5,7,9],[10]]=>[[1,2,3,5,7,9],[4,6,8,10]]=>[4,6,8,10,1,2,3,5,7,9]=>[1,2,4,3,6,5,8,7,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,6,8],[5,7,9],[10]]=>[[1,2,3,4,5,7,9],[6,8,10]]=>[6,8,10,1,2,3,4,5,7,9]=>[1,2,3,4,6,5,8,7,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,8],[7,9],[10]]=>[[1,2,3,4,5,6,7,9],[8,10]]=>[8,10,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,8,7,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,5,7,9],[4,6,8,10]]=>[[1,2,3,4,6,8,10],[5,7,9]]=>[5,7,9,1,2,3,4,6,8,10]=>[1,2,3,5,4,7,6,9,8,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,9],[8,10]]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2],[3,7],[4,8],[5,9],[6,10]]=>[[1,2,3,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,1,2,3,7]=>[1,2,6,5,4,3,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,9],[8]]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,9],[7,8]]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,9],[7],[8]]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,9],[6,7,8]]=>[[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,9],[6,7],[8]]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,9],[6],[7],[8]]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,9],[5,6,7],[8]]=>[[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,9],[5,6],[7,8]]=>[[1,2,3,4,5,6],[7,8],[9]]=>[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,9,8,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,9],[5,6],[7],[8]]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,9],[5],[6],[7],[8]]=>[[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]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,7],[4,5,6,9],[8]]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>[1,2,3,4,5,7,8,6,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,9],[4,5,6],[7,8]]=>[[1,2,3,4,5,6],[7,8],[9]]=>[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,9,8,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,9],[4,5,6],[7],[8]]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,9],[4,5],[6,7],[8]]=>[[1,2,3,4,5],[6,7],[8],[9]]=>[9,8,6,7,1,2,3,4,5]=>[1,2,3,4,6,9,8,7,5]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,9],[4,5],[6],[7],[8]]=>[[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]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,9],[4],[5],[6],[7],[8]]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,1,2,3,4]=>[1,2,3,9,8,7,6,5,4]=>[1,9,8,7,6,5,4,3,2] [[1,2,9],[3,4],[5,6],[7],[8]]=>[[1,2,3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,1,2,3,4]=>[1,2,3,5,9,8,7,6,4]=>[1,9,8,7,6,5,4,3,2] [[1,2,9],[3,4],[5],[6],[7],[8]]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,1,2,3,4]=>[1,2,3,9,8,7,6,5,4]=>[1,9,8,7,6,5,4,3,2] [[1,2,9],[3],[4],[5],[6],[7],[8]]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3]=>[1,2,9,8,7,6,5,4,3]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,8,10],[9]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,10],[8,9]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,10],[8],[9]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,10],[7,8,9]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,10],[7,8],[9]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,10],[7],[8],[9]]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,10],[6,7,8,9]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,10],[6,7,8],[9]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,10],[6,7],[8,9]]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[10,8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,10,9,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,10],[6,7],[8],[9]]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,10],[6],[7],[8],[9]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,10],[5,6,7,8],[9]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,10],[5,6,7],[8,9]]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[10,8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,10,9,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,10],[5,6,7],[8],[9]]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,10],[5,6],[7,8],[9]]=>[[1,2,3,4,5,6],[7,8],[9],[10]]=>[10,9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,10,9,8,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,10],[5,6],[7],[8],[9]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,10],[5],[6],[7],[8],[9]]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,10,9,8,7,6,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,7],[4,5,6,10],[8,9]]=>[[1,2,3,4,5,6,10],[7,8,9]]=>[7,8,9,1,2,3,4,5,6,10]=>[1,2,3,4,5,7,8,9,6,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,10],[4,5,6],[7,8],[9]]=>[[1,2,3,4,5,6],[7,8],[9],[10]]=>[10,9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,10,9,8,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,10],[4,5,6],[7],[8],[9]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,10],[4,5],[6,7],[8,9]]=>[[1,2,3,4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,10,9,7,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,10],[4,5],[6,7],[8],[9]]=>[[1,2,3,4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,1,2,3,4,5]=>[1,2,3,4,6,10,9,8,7,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,10],[4,5],[6],[7],[8],[9]]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,10,9,8,7,6,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,10],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,10,9,8,7,6,5,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,10],[3,4],[5,6],[7,8],[9]]=>[[1,2,3,4],[5,6],[7,8],[9],[10]]=>[10,9,7,8,5,6,1,2,3,4]=>[1,2,3,5,7,10,9,8,6,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,10],[3,4],[5,6],[7],[8],[9]]=>[[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[10,9,8,7,5,6,1,2,3,4]=>[1,2,3,5,10,9,8,7,6,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,10],[3,4],[5],[6],[7],[8],[9]]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,10,9,8,7,6,5,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,1,2,3]=>[1,2,10,9,8,7,6,5,4,3]=>[1,10,9,8,7,6,5,4,3,2] []=>[]=>[]=>[]=>[] [[1,2,4],[3,5,7],[6,8],[9]]=>[[1,2,3,5,7],[4,6,8],[9]]=>[9,4,6,8,1,2,3,5,7]=>[1,2,4,3,6,5,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9]=>[1,8,7,6,5,4,3,2,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,4,5,6,7,8,9,10],[3]]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2,10]=>[1,9,8,7,6,5,4,3,2,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,4,5,6,7,8],[2,9]]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,3,4,5,6,7,8],[2],[9]]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,3,4,5,6,7],[2,8,9]]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,3,4,5,6,7],[2,9],[8]]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,3,4,5,6],[2,7,8,9]]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,3,4,5,6],[2,8,9],[7]]=>[[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,3,4,5,6],[2,8],[7,9]]=>[[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,3,4,5],[2,7,8],[6,9]]=>[[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,3,4],[2,6,7],[5,8,9]]=>[[1,2,4,5,6,7],[3,8,9]]=>[3,8,9,1,2,4,5,6,7]=>[1,3,2,4,5,6,8,9,7]=>[1,9,8,7,6,5,4,3,2] [[1,3,4,5,6,7,8,9],[2,10]]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,4,5,6,7,8,9],[2],[10]]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,4,5,6,7,8],[2,9,10]]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,4,5,6,7,8],[2,10],[9]]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,4,5,6,7],[2,8,9,10]]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,4,5,6,7],[2,9,10],[8]]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,4,5,6],[2,8,9,10],[7]]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,4,6,8,10],[3,5,7,9]]=>[[1,2,3,5,7,9],[4,6,8,10]]=>[4,6,8,10,1,2,3,5,7,9]=>[1,2,4,3,6,5,8,7,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,6,8,10],[5,7,9]]=>[[1,2,3,4,5,7,9],[6,8,10]]=>[6,8,10,1,2,3,4,5,7,9]=>[1,2,3,4,6,5,8,7,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,7,8,9,10],[5,6]]=>[[1,2,3,4,5,6,9,10],[7,8]]=>[7,8,1,2,3,4,5,6,9,10]=>[1,2,3,4,5,7,8,6,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,5,7,9,10],[4,6,8]]=>[[1,2,3,4,6,8,10],[5,7,9]]=>[5,7,9,1,2,3,4,6,8,10]=>[1,2,3,5,4,7,6,9,8,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,5,6,7,8,9,10],[4]]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[5,1,2,3,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,8,10],[7,9]]=>[[1,2,3,4,5,6,7,9],[8,10]]=>[8,10,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,8,7,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,9,10],[7,8]]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,8,9,10],[6,7]]=>[[1,2,3,4,5,6,7,10],[8,9]]=>[8,9,1,2,3,4,5,6,7,10]=>[1,2,3,4,5,6,8,9,7,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,6,7,8,9,10],[5]]=>[[1,2,3,4,5,7,8,9,10],[6]]=>[6,1,2,3,4,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,9,10],[8]]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,8,9,10],[7]]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,7,8,9,10],[6]]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,1,2,3,4,5,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,4,5,6,7,8],[2],[3],[9]]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,3,1,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,7,8],[4,5,6,9]]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>[1,2,3,4,5,7,8,6,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,7,8],[4,5,6],[9]]=>[[1,2,3,4,5,6],[7,8,9]]=>[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,7,8,9],[4,5,6,10]]=>[[1,2,3,4,5,6,10],[7,8,9]]=>[7,8,9,1,2,3,4,5,6,10]=>[1,2,3,4,5,7,8,9,6,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,7,8,9],[4,5,6],[10]]=>[[1,2,3,4,5,6,10],[7,8,9]]=>[7,8,9,1,2,3,4,5,6,10]=>[1,2,3,4,5,7,8,9,6,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,9],[5,6,7,8],[10]]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,9],[3,4],[5,6],[7,8],[10]]=>[[1,2,3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,1,2,3,4]=>[1,2,3,5,7,9,10,8,6,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,8,9],[5,6,7]]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,8,9],[4,5],[6,7]]=>[[1,2,3,4,5],[6,7],[8,9]]=>[8,9,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,9,7,5]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,8,9,10],[5,6,7]]=>[[1,2,3,4,5,6,7],[8,9,10]]=>[8,9,10,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,10,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,4,5,6],[3,8,9,10],[7]]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,7,8,9],[5,6]]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>[1,2,3,4,5,7,8,6,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,7,8],[5,6],[9]]=>[[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>[1,2,3,4,5,7,8,6,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,4,5,6,7],[3,9,10],[8]]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,9,10],[5,6],[7,8]]=>[[1,2,3,4,5,6],[7,8],[9,10]]=>[9,10,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,9,10,8,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,4,5,6,7,8,9],[3],[10]]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,7,8],[5,6],[9,10]]=>[[1,2,3,4,5,6,9,10],[7,8]]=>[7,8,1,2,3,4,5,6,9,10]=>[1,2,3,4,5,7,8,6,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,7],[6],[8],[9]]=>[[1,2,3,4,5,6,8],[7],[9]]=>[9,7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,9,6,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,6,7,9],[8]]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,8,7,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,8],[7],[9]]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,8,7,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,5,7,9],[4,6,8]]=>[[1,2,3,4,6,8],[5,7,9]]=>[5,7,9,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,7,9],[6,8]]=>[[1,2,3,4,5,6,8],[7,9]]=>[7,9,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7,9],[8],[10]]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,6,10],[3,7],[4,8],[5,9]]=>[[1,2,3,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,1,2,3,7]=>[1,2,6,5,4,3,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4],[5,8],[6,9],[7,10]]=>[[1,2,3,4,5,8],[6,9],[7,10]]=>[7,10,6,9,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,5,7,9],[2,4,6,8],[10]]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,4,5,6,7,8,9],[3,10]]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6],[7,9],[8]]=>[[1,2,3,4,5,6,7,9],[8]]=>[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,8,7,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,7],[6,9,10],[8]]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,1,2,3,4,5,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,7],[8,10],[9]]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,8],[7,9,10]]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,9],[2,4],[5],[6],[7],[8]]=>[[1,2,4],[3,5],[6],[7],[8],[9]]=>[9,8,7,6,3,5,1,2,4]=>[1,3,2,9,8,7,6,5,4]=>[1,9,8,7,6,5,4,3,2] [[1,4,9],[2,5],[3,6],[7],[8]]=>[[1,2,5],[3,6],[4,7],[8],[9]]=>[9,8,4,7,3,6,1,2,5]=>[1,4,3,2,9,8,7,6,5]=>[1,9,8,7,6,5,4,3,2] [[1,2,4,9],[3,5],[6],[7],[8]]=>[[1,2,3,5],[4,6],[7],[8],[9]]=>[9,8,7,4,6,1,2,3,5]=>[1,2,4,3,9,8,7,6,5]=>[1,9,8,7,6,5,4,3,2] [[1,2,5,9],[3,6],[4,7],[8]]=>[[1,2,3,6],[4,7],[5,8],[9]]=>[9,5,8,4,7,1,2,3,6]=>[1,2,5,4,3,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,3,5,9],[2,4,6],[7],[8]]=>[[1,2,4,6],[3,5,7],[8],[9]]=>[9,8,3,5,7,1,2,4,6]=>[1,3,2,5,4,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,5,9],[4,6],[7],[8]]=>[[1,2,3,4,6],[5,7],[8],[9]]=>[9,8,5,7,1,2,3,4,6]=>[1,2,3,5,4,9,8,7,6]=>[1,9,8,7,6,5,4,3,2] [[1,3,6,9],[2,4,7],[5,8]]=>[[1,2,4,7],[3,5,8],[6,9]]=>[6,9,3,5,8,1,2,4,7]=>[1,3,2,6,5,4,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,6,9],[4,7],[5,8]]=>[[1,2,3,4,7],[5,8],[6,9]]=>[6,9,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,4,6,9],[3,5,7],[8]]=>[[1,2,3,5,7],[4,6,8],[9]]=>[9,4,6,8,1,2,3,5,7]=>[1,2,4,3,6,5,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,6,9],[5,7],[8]]=>[[1,2,3,4,5,7],[6,8],[9]]=>[9,6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,9,8,7]=>[1,9,8,7,6,5,4,3,2] [[1,3,10],[2,4],[5],[6],[7],[8],[9]]=>[[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,3,5,1,2,4]=>[1,3,2,10,9,8,7,6,5,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,4,10],[2,5],[3,6],[7],[8],[9]]=>[[1,2,5],[3,6],[4,7],[8],[9],[10]]=>[10,9,8,4,7,3,6,1,2,5]=>[1,4,3,2,10,9,8,7,6,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,4,10],[3,5],[6],[7],[8],[9]]=>[[1,2,3,5],[4,6],[7],[8],[9],[10]]=>[10,9,8,7,4,6,1,2,3,5]=>[1,2,4,3,10,9,8,7,6,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,5,10],[2,6],[3,7],[4,8],[9]]=>[[1,2,6],[3,7],[4,8],[5,9],[10]]=>[10,5,9,4,8,3,7,1,2,6]=>[1,5,4,3,2,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,5,10],[3,6],[4,7],[8],[9]]=>[[1,2,3,6],[4,7],[5,8],[9],[10]]=>[10,9,5,8,4,7,1,2,3,6]=>[1,2,5,4,3,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,5,10],[2,4,6],[7],[8],[9]]=>[[1,2,4,6],[3,5,7],[8],[9],[10]]=>[10,9,8,3,5,7,1,2,4,6]=>[1,3,2,5,4,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,5,10],[4,6],[7],[8],[9]]=>[[1,2,3,4,6],[5,7],[8],[9],[10]]=>[10,9,8,5,7,1,2,3,4,6]=>[1,2,3,5,4,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,6,10],[2,4,7],[5,8],[9]]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[10,6,9,3,5,8,1,2,4,7]=>[1,3,2,6,5,4,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,6,10],[4,7],[5,8],[9]]=>[[1,2,3,4,7],[5,8],[6,9],[10]]=>[10,6,9,5,8,1,2,3,4,7]=>[1,2,3,6,5,4,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,4,6,10],[3,5,7],[8],[9]]=>[[1,2,3,5,7],[4,6,8],[9],[10]]=>[10,9,4,6,8,1,2,3,5,7]=>[1,2,4,3,6,5,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,6,10],[5,7],[8],[9]]=>[[1,2,3,4,5,7],[6,8],[9],[10]]=>[10,9,6,8,1,2,3,4,5,7]=>[1,2,3,4,6,5,10,9,8,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,4,7,10],[3,5,8],[6,9]]=>[[1,2,3,5,8],[4,6,9],[7,10]]=>[7,10,4,6,9,1,2,3,5,8]=>[1,2,4,3,7,6,5,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,7,10],[5,8],[6,9]]=>[[1,2,3,4,5,8],[6,9],[7,10]]=>[7,10,6,9,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,5,7,10],[2,4,6,8],[9]]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>[10,3,5,7,9,1,2,4,6,8]=>[1,3,2,5,4,7,6,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,5,7,10],[4,6,8],[9]]=>[[1,2,3,4,6,8],[5,7,9],[10]]=>[10,5,7,9,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,7,10],[6,8],[9]]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>[10,7,9,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,10,9,8]=>[1,10,9,8,7,6,5,4,3,2] [[1,3,4,5,6,7,9],[2,8]]=>[[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,8,9],[6,7]]=>[[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,7]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,8,9],[7,10]]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,7,9],[5,6],[8]]=>[[1,2,3,4,5,6],[7,8],[9]]=>[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,9,8,6]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,7,10],[5,6],[8],[9]]=>[[1,2,3,4,5,6],[7,8],[9],[10]]=>[10,9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,10,9,8,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,6],[5,7,9],[8]]=>[[1,2,3,4,5,7,9],[6,8]]=>[6,8,1,2,3,4,5,7,9]=>[1,2,3,4,6,5,8,7,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,5],[4,6,8],[7,9]]=>[[1,2,3,4,6,8],[5,7,9]]=>[5,7,9,1,2,3,4,6,8]=>[1,2,3,5,4,7,6,9,8]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,6,8],[7,10],[9]]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,5,7],[6,8,9,10]]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[7,1,2,3,4,5,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,4,6],[5,7,9],[8,10]]=>[[1,2,3,4,5,7,9],[6,8,10]]=>[6,8,10,1,2,3,4,5,7,9]=>[1,2,3,4,6,5,8,7,10,9]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,5],[4,6,8],[7,9,10]]=>[[1,2,3,4,6,8,10],[5,7,9]]=>[5,7,9,1,2,3,4,6,8,10]=>[1,2,3,5,4,7,6,9,8,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,6],[4,5,7,9],[8]]=>[[1,2,3,4,5,7,9],[6,8]]=>[6,8,1,2,3,4,5,7,9]=>[1,2,3,4,6,5,8,7,9]=>[1,9,8,7,6,5,4,3,2] [[1,4,5,6],[2,8,9],[3],[7]]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,3,1,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,4,5,6,7,8],[3,9,10]]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,6,9],[4,5],[7],[8]]=>[[1,2,3,4,5],[6,7],[8],[9]]=>[9,8,6,7,1,2,3,4,5]=>[1,2,3,4,6,9,8,7,5]=>[1,9,8,7,6,5,4,3,2] [[1,2,7,9],[3,4],[5,6],[8]]=>[[1,2,3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,1,2,3,4]=>[1,2,3,5,7,9,8,6,4]=>[1,9,8,7,6,5,4,3,2] [[1,2,5,9],[3,4],[6],[7],[8]]=>[[1,2,3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,1,2,3,4]=>[1,2,3,5,9,8,7,6,4]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,4,5,8,10],[6,7],[9]]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[10,8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,10,9,7]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,7,8,10],[4,5,6],[9]]=>[[1,2,3,4,5,6],[7,8,9],[10]]=>[10,7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,10,9,6]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,8,10],[4,5],[6,7],[9]]=>[[1,2,3,4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,10,9,7,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,3,6,10],[4,5],[7],[8],[9]]=>[[1,2,3,4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,1,2,3,4,5]=>[1,2,3,4,6,10,9,8,7,5]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,7,10],[3,4],[5,6],[8],[9]]=>[[1,2,3,4],[5,6],[7,8],[9],[10]]=>[10,9,7,8,5,6,1,2,3,4]=>[1,2,3,5,7,10,9,8,6,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,2,5,10],[3,4],[6],[7],[8],[9]]=>[[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[10,9,8,7,5,6,1,2,3,4]=>[1,2,3,5,10,9,8,7,6,4]=>[1,10,9,8,7,6,5,4,3,2] [[1,4,5,6,7,8],[2,9],[3]]=>[[1,2,5,6,7,8,9],[3],[4]]=>[4,3,1,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2] [[1,2,3,5,6,7],[4,8,9,10]]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[5,1,2,3,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2]
Map
catabolism
Description
Remove the first row of the standard tableau and insert it back using column Schensted insertion, starting with the largest number.
The algorithm for column-inserting an entry $k$ into tableau $T$ is as follows:
If $k$ is larger than all entries in the first column, place $k$ at the bottom of the first column and the procedure is finished. Otherwise, place $k$ in the first column, replacing the smallest entry, $y$, greater than $k$. Now insert $y$ into the second column using the same procedure: if $y$ is greater than all entries in the second column, place it at the bottom of that column (provided that the result is still a tableau). Otherwise, place $y$ in the second column, replacing, or 'bumping', the smallest entry, $z$, larger than $y$. Continue the procedure until we have placed a bumped entry at the bottom of a column (or on its own in a new column).
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottom-most row in English notation.
Map
Foata bijection
Description
Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
  • If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
  • If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
In either case, place a vertical line at the start of the word as well. Now, within each block between vertical lines, cyclically shift the entries one place to the right.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
  • $1$
  • $|1|4 \to 14$
  • $|14|2 \to 412$
  • $|4|1|2|5 \to 4125$
  • $|4|125|3 \to 45123.$
In total, this gives $\phi([1,4,2,5,3]) = [4,5,1,2,3]$.
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a $123$-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].