Identifier
Mp00075:
Semistandard tableaux
—reading word permutation⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Images
=>
Cc0019;cc-rep-0
[[1,2]]=>[1,2]=>[1,2]
[[2,2]]=>[1,2]=>[1,2]
[[1],[2]]=>[2,1]=>[2,1]
[[1,3]]=>[1,2]=>[1,2]
[[2,3]]=>[1,2]=>[1,2]
[[3,3]]=>[1,2]=>[1,2]
[[1],[3]]=>[2,1]=>[2,1]
[[2],[3]]=>[2,1]=>[2,1]
[[1,1,2]]=>[1,2,3]=>[1,2,3]
[[1,2,2]]=>[1,2,3]=>[1,2,3]
[[2,2,2]]=>[1,2,3]=>[1,2,3]
[[1,1],[2]]=>[3,1,2]=>[3,1,2]
[[1,2],[2]]=>[2,1,3]=>[2,1,3]
[[1,4]]=>[1,2]=>[1,2]
[[2,4]]=>[1,2]=>[1,2]
[[3,4]]=>[1,2]=>[1,2]
[[4,4]]=>[1,2]=>[1,2]
[[1],[4]]=>[2,1]=>[2,1]
[[2],[4]]=>[2,1]=>[2,1]
[[3],[4]]=>[2,1]=>[2,1]
[[1,1,3]]=>[1,2,3]=>[1,2,3]
[[1,2,3]]=>[1,2,3]=>[1,2,3]
[[1,3,3]]=>[1,2,3]=>[1,2,3]
[[2,2,3]]=>[1,2,3]=>[1,2,3]
[[2,3,3]]=>[1,2,3]=>[1,2,3]
[[3,3,3]]=>[1,2,3]=>[1,2,3]
[[1,1],[3]]=>[3,1,2]=>[3,1,2]
[[1,2],[3]]=>[3,1,2]=>[3,1,2]
[[1,3],[2]]=>[2,1,3]=>[2,1,3]
[[1,3],[3]]=>[2,1,3]=>[2,1,3]
[[2,2],[3]]=>[3,1,2]=>[3,1,2]
[[2,3],[3]]=>[2,1,3]=>[2,1,3]
[[1],[2],[3]]=>[3,2,1]=>[2,3,1]
[[1,1,1,2]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,2,2]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,2,2]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,2,2]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,1],[2]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,2],[2]]=>[3,1,2,4]=>[3,1,2,4]
[[1,2,2],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,1],[2,2]]=>[3,4,1,2]=>[4,1,3,2]
[[1,5]]=>[1,2]=>[1,2]
[[2,5]]=>[1,2]=>[1,2]
[[3,5]]=>[1,2]=>[1,2]
[[4,5]]=>[1,2]=>[1,2]
[[5,5]]=>[1,2]=>[1,2]
[[1],[5]]=>[2,1]=>[2,1]
[[2],[5]]=>[2,1]=>[2,1]
[[3],[5]]=>[2,1]=>[2,1]
[[4],[5]]=>[2,1]=>[2,1]
[[1,1,4]]=>[1,2,3]=>[1,2,3]
[[1,2,4]]=>[1,2,3]=>[1,2,3]
[[1,3,4]]=>[1,2,3]=>[1,2,3]
[[1,4,4]]=>[1,2,3]=>[1,2,3]
[[2,2,4]]=>[1,2,3]=>[1,2,3]
[[2,3,4]]=>[1,2,3]=>[1,2,3]
[[2,4,4]]=>[1,2,3]=>[1,2,3]
[[3,3,4]]=>[1,2,3]=>[1,2,3]
[[3,4,4]]=>[1,2,3]=>[1,2,3]
[[4,4,4]]=>[1,2,3]=>[1,2,3]
[[1,1],[4]]=>[3,1,2]=>[3,1,2]
[[1,2],[4]]=>[3,1,2]=>[3,1,2]
[[1,4],[2]]=>[2,1,3]=>[2,1,3]
[[1,3],[4]]=>[3,1,2]=>[3,1,2]
[[1,4],[3]]=>[2,1,3]=>[2,1,3]
[[1,4],[4]]=>[2,1,3]=>[2,1,3]
[[2,2],[4]]=>[3,1,2]=>[3,1,2]
[[2,3],[4]]=>[3,1,2]=>[3,1,2]
[[2,4],[3]]=>[2,1,3]=>[2,1,3]
[[2,4],[4]]=>[2,1,3]=>[2,1,3]
[[3,3],[4]]=>[3,1,2]=>[3,1,2]
[[3,4],[4]]=>[2,1,3]=>[2,1,3]
[[1],[2],[4]]=>[3,2,1]=>[2,3,1]
[[1],[3],[4]]=>[3,2,1]=>[2,3,1]
[[2],[3],[4]]=>[3,2,1]=>[2,3,1]
[[1,1,1,3]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,2,3]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,3,3]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,2,3]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,3,3]]=>[1,2,3,4]=>[1,2,3,4]
[[1,3,3,3]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,2,3]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,3,3]]=>[1,2,3,4]=>[1,2,3,4]
[[2,3,3,3]]=>[1,2,3,4]=>[1,2,3,4]
[[3,3,3,3]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,1],[3]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,2],[3]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,3],[2]]=>[3,1,2,4]=>[3,1,2,4]
[[1,1,3],[3]]=>[3,1,2,4]=>[3,1,2,4]
[[1,2,2],[3]]=>[4,1,2,3]=>[4,1,2,3]
[[1,2,3],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,3],[3]]=>[3,1,2,4]=>[3,1,2,4]
[[1,3,3],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,3],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,2,2],[3]]=>[4,1,2,3]=>[4,1,2,3]
[[2,2,3],[3]]=>[3,1,2,4]=>[3,1,2,4]
[[2,3,3],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,1],[2,3]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[3,3]]=>[3,4,1,2]=>[4,1,3,2]
[[1,2],[2,3]]=>[2,4,1,3]=>[4,2,1,3]
[[1,2],[3,3]]=>[3,4,1,2]=>[4,1,3,2]
[[2,2],[3,3]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[2],[3]]=>[4,3,1,2]=>[3,1,4,2]
[[1,2],[2],[3]]=>[4,2,1,3]=>[2,4,1,3]
[[1,3],[2],[3]]=>[3,2,1,4]=>[2,3,1,4]
[[1,1,1,1,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,2,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,2,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,2,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,1],[2]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,1,2],[2]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,2,2],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,2,2,2],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,1,1],[2,2]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,2],[2,2]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,6]]=>[1,2]=>[1,2]
[[2,6]]=>[1,2]=>[1,2]
[[3,6]]=>[1,2]=>[1,2]
[[4,6]]=>[1,2]=>[1,2]
[[5,6]]=>[1,2]=>[1,2]
[[6,6]]=>[1,2]=>[1,2]
[[1],[6]]=>[2,1]=>[2,1]
[[2],[6]]=>[2,1]=>[2,1]
[[3],[6]]=>[2,1]=>[2,1]
[[4],[6]]=>[2,1]=>[2,1]
[[5],[6]]=>[2,1]=>[2,1]
[[1,1,5]]=>[1,2,3]=>[1,2,3]
[[1,2,5]]=>[1,2,3]=>[1,2,3]
[[1,3,5]]=>[1,2,3]=>[1,2,3]
[[1,4,5]]=>[1,2,3]=>[1,2,3]
[[1,5,5]]=>[1,2,3]=>[1,2,3]
[[2,2,5]]=>[1,2,3]=>[1,2,3]
[[2,3,5]]=>[1,2,3]=>[1,2,3]
[[2,4,5]]=>[1,2,3]=>[1,2,3]
[[2,5,5]]=>[1,2,3]=>[1,2,3]
[[3,3,5]]=>[1,2,3]=>[1,2,3]
[[3,4,5]]=>[1,2,3]=>[1,2,3]
[[3,5,5]]=>[1,2,3]=>[1,2,3]
[[4,4,5]]=>[1,2,3]=>[1,2,3]
[[4,5,5]]=>[1,2,3]=>[1,2,3]
[[5,5,5]]=>[1,2,3]=>[1,2,3]
[[1,1],[5]]=>[3,1,2]=>[3,1,2]
[[1,2],[5]]=>[3,1,2]=>[3,1,2]
[[1,5],[2]]=>[2,1,3]=>[2,1,3]
[[1,3],[5]]=>[3,1,2]=>[3,1,2]
[[1,5],[3]]=>[2,1,3]=>[2,1,3]
[[1,4],[5]]=>[3,1,2]=>[3,1,2]
[[1,5],[4]]=>[2,1,3]=>[2,1,3]
[[1,5],[5]]=>[2,1,3]=>[2,1,3]
[[2,2],[5]]=>[3,1,2]=>[3,1,2]
[[2,3],[5]]=>[3,1,2]=>[3,1,2]
[[2,5],[3]]=>[2,1,3]=>[2,1,3]
[[2,4],[5]]=>[3,1,2]=>[3,1,2]
[[2,5],[4]]=>[2,1,3]=>[2,1,3]
[[2,5],[5]]=>[2,1,3]=>[2,1,3]
[[3,3],[5]]=>[3,1,2]=>[3,1,2]
[[3,4],[5]]=>[3,1,2]=>[3,1,2]
[[3,5],[4]]=>[2,1,3]=>[2,1,3]
[[3,5],[5]]=>[2,1,3]=>[2,1,3]
[[4,4],[5]]=>[3,1,2]=>[3,1,2]
[[4,5],[5]]=>[2,1,3]=>[2,1,3]
[[1],[2],[5]]=>[3,2,1]=>[2,3,1]
[[1],[3],[5]]=>[3,2,1]=>[2,3,1]
[[1],[4],[5]]=>[3,2,1]=>[2,3,1]
[[2],[3],[5]]=>[3,2,1]=>[2,3,1]
[[2],[4],[5]]=>[3,2,1]=>[2,3,1]
[[3],[4],[5]]=>[3,2,1]=>[2,3,1]
[[1,1,1,4]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,2,4]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,3,4]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,4,4]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,2,4]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,4,4]]=>[1,2,3,4]=>[1,2,3,4]
[[1,3,3,4]]=>[1,2,3,4]=>[1,2,3,4]
[[1,3,4,4]]=>[1,2,3,4]=>[1,2,3,4]
[[1,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,2,4]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,4,4]]=>[1,2,3,4]=>[1,2,3,4]
[[2,3,3,4]]=>[1,2,3,4]=>[1,2,3,4]
[[2,3,4,4]]=>[1,2,3,4]=>[1,2,3,4]
[[2,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]
[[3,3,3,4]]=>[1,2,3,4]=>[1,2,3,4]
[[3,3,4,4]]=>[1,2,3,4]=>[1,2,3,4]
[[3,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]
[[4,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,1],[4]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,2],[4]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,4],[2]]=>[3,1,2,4]=>[3,1,2,4]
[[1,1,3],[4]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,4],[3]]=>[3,1,2,4]=>[3,1,2,4]
[[1,1,4],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[1,2,2],[4]]=>[4,1,2,3]=>[4,1,2,3]
[[1,2,4],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,3],[4]]=>[4,1,2,3]=>[4,1,2,3]
[[1,2,4],[3]]=>[3,1,2,4]=>[3,1,2,4]
[[1,3,4],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,4],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[1,4,4],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,3],[4]]=>[4,1,2,3]=>[4,1,2,3]
[[1,3,4],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,4],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[1,4,4],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,4,4],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[2,2,2],[4]]=>[4,1,2,3]=>[4,1,2,3]
[[2,2,3],[4]]=>[4,1,2,3]=>[4,1,2,3]
[[2,2,4],[3]]=>[3,1,2,4]=>[3,1,2,4]
[[2,2,4],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[2,3,3],[4]]=>[4,1,2,3]=>[4,1,2,3]
[[2,3,4],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,3,4],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[2,4,4],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,4,4],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[3,3,3],[4]]=>[4,1,2,3]=>[4,1,2,3]
[[3,3,4],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[3,4,4],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[1,1],[2,4]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[3,4]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[4,4]]=>[3,4,1,2]=>[4,1,3,2]
[[1,2],[2,4]]=>[2,4,1,3]=>[4,2,1,3]
[[1,2],[3,4]]=>[3,4,1,2]=>[4,1,3,2]
[[1,3],[2,4]]=>[2,4,1,3]=>[4,2,1,3]
[[1,2],[4,4]]=>[3,4,1,2]=>[4,1,3,2]
[[1,3],[3,4]]=>[2,4,1,3]=>[4,2,1,3]
[[1,3],[4,4]]=>[3,4,1,2]=>[4,1,3,2]
[[2,2],[3,4]]=>[3,4,1,2]=>[4,1,3,2]
[[2,2],[4,4]]=>[3,4,1,2]=>[4,1,3,2]
[[2,3],[3,4]]=>[2,4,1,3]=>[4,2,1,3]
[[2,3],[4,4]]=>[3,4,1,2]=>[4,1,3,2]
[[3,3],[4,4]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[2],[4]]=>[4,3,1,2]=>[3,1,4,2]
[[1,1],[3],[4]]=>[4,3,1,2]=>[3,1,4,2]
[[1,2],[2],[4]]=>[4,2,1,3]=>[2,4,1,3]
[[1,2],[3],[4]]=>[4,3,1,2]=>[3,1,4,2]
[[1,3],[2],[4]]=>[4,2,1,3]=>[2,4,1,3]
[[1,4],[2],[3]]=>[3,2,1,4]=>[2,3,1,4]
[[1,4],[2],[4]]=>[3,2,1,4]=>[2,3,1,4]
[[1,3],[3],[4]]=>[4,2,1,3]=>[2,4,1,3]
[[1,4],[3],[4]]=>[3,2,1,4]=>[2,3,1,4]
[[2,2],[3],[4]]=>[4,3,1,2]=>[3,1,4,2]
[[2,3],[3],[4]]=>[4,2,1,3]=>[2,4,1,3]
[[2,4],[3],[4]]=>[3,2,1,4]=>[2,3,1,4]
[[1],[2],[3],[4]]=>[4,3,2,1]=>[2,3,4,1]
[[1,1,1,1,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,2,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,2,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,2,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,2,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,3,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,2,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,2,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,3,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,3,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,1],[3]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,1,2],[3]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,1,3],[2]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,1,3],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,2,2],[3]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,2,3],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,2,3],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,3,3],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,3,3],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,2,2,2],[3]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,2,2,3],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,2,3],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,2,3,3],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,3,3],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,3,3,3],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,3,3,3],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,2,2,2],[3]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,2,2,3],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,2,3,3],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,3,3,3],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,1,1],[2,3]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,1],[3,3]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,2],[2,3]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,1,3],[2,2]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,2],[3,3]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,3],[2,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,3],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,2,2],[2,3]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,2,2],[3,3]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,2,3],[2,3]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,2,3],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,2,2],[3,3]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,2,3],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,1],[2],[3]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,1,2],[2],[3]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,1,3],[2],[3]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,2,2],[2],[3]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,2,3],[2],[3]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,3,3],[2],[3]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,1],[2,2],[3]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,1],[2,3],[3]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,2],[2,3],[3]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,1,1,1,1,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,1,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,2,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,2,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,2,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,1,1],[2]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,1,1,2],[2]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,1,2,2],[2]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,2,2,2],[2]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,2,2,2,2],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,1,1,1],[2,2]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,1,2],[2,2]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,2,2],[2,2]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,1],[2,2,2]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,7]]=>[1,2]=>[1,2]
[[2,7]]=>[1,2]=>[1,2]
[[3,7]]=>[1,2]=>[1,2]
[[4,7]]=>[1,2]=>[1,2]
[[5,7]]=>[1,2]=>[1,2]
[[6,7]]=>[1,2]=>[1,2]
[[7,7]]=>[1,2]=>[1,2]
[[1],[7]]=>[2,1]=>[2,1]
[[2],[7]]=>[2,1]=>[2,1]
[[3],[7]]=>[2,1]=>[2,1]
[[4],[7]]=>[2,1]=>[2,1]
[[5],[7]]=>[2,1]=>[2,1]
[[6],[7]]=>[2,1]=>[2,1]
[[1,1,6]]=>[1,2,3]=>[1,2,3]
[[1,2,6]]=>[1,2,3]=>[1,2,3]
[[1,3,6]]=>[1,2,3]=>[1,2,3]
[[1,4,6]]=>[1,2,3]=>[1,2,3]
[[1,5,6]]=>[1,2,3]=>[1,2,3]
[[1,6,6]]=>[1,2,3]=>[1,2,3]
[[2,2,6]]=>[1,2,3]=>[1,2,3]
[[2,3,6]]=>[1,2,3]=>[1,2,3]
[[2,4,6]]=>[1,2,3]=>[1,2,3]
[[2,5,6]]=>[1,2,3]=>[1,2,3]
[[2,6,6]]=>[1,2,3]=>[1,2,3]
[[3,3,6]]=>[1,2,3]=>[1,2,3]
[[3,4,6]]=>[1,2,3]=>[1,2,3]
[[3,5,6]]=>[1,2,3]=>[1,2,3]
[[3,6,6]]=>[1,2,3]=>[1,2,3]
[[4,4,6]]=>[1,2,3]=>[1,2,3]
[[4,5,6]]=>[1,2,3]=>[1,2,3]
[[4,6,6]]=>[1,2,3]=>[1,2,3]
[[5,5,6]]=>[1,2,3]=>[1,2,3]
[[5,6,6]]=>[1,2,3]=>[1,2,3]
[[6,6,6]]=>[1,2,3]=>[1,2,3]
[[1,1],[6]]=>[3,1,2]=>[3,1,2]
[[1,2],[6]]=>[3,1,2]=>[3,1,2]
[[1,6],[2]]=>[2,1,3]=>[2,1,3]
[[1,3],[6]]=>[3,1,2]=>[3,1,2]
[[1,6],[3]]=>[2,1,3]=>[2,1,3]
[[1,4],[6]]=>[3,1,2]=>[3,1,2]
[[1,6],[4]]=>[2,1,3]=>[2,1,3]
[[1,5],[6]]=>[3,1,2]=>[3,1,2]
[[1,6],[5]]=>[2,1,3]=>[2,1,3]
[[1,6],[6]]=>[2,1,3]=>[2,1,3]
[[2,2],[6]]=>[3,1,2]=>[3,1,2]
[[2,3],[6]]=>[3,1,2]=>[3,1,2]
[[2,6],[3]]=>[2,1,3]=>[2,1,3]
[[2,4],[6]]=>[3,1,2]=>[3,1,2]
[[2,6],[4]]=>[2,1,3]=>[2,1,3]
[[2,5],[6]]=>[3,1,2]=>[3,1,2]
[[2,6],[5]]=>[2,1,3]=>[2,1,3]
[[2,6],[6]]=>[2,1,3]=>[2,1,3]
[[3,3],[6]]=>[3,1,2]=>[3,1,2]
[[3,4],[6]]=>[3,1,2]=>[3,1,2]
[[3,6],[4]]=>[2,1,3]=>[2,1,3]
[[3,5],[6]]=>[3,1,2]=>[3,1,2]
[[3,6],[5]]=>[2,1,3]=>[2,1,3]
[[3,6],[6]]=>[2,1,3]=>[2,1,3]
[[4,4],[6]]=>[3,1,2]=>[3,1,2]
[[4,5],[6]]=>[3,1,2]=>[3,1,2]
[[4,6],[5]]=>[2,1,3]=>[2,1,3]
[[4,6],[6]]=>[2,1,3]=>[2,1,3]
[[5,5],[6]]=>[3,1,2]=>[3,1,2]
[[5,6],[6]]=>[2,1,3]=>[2,1,3]
[[1],[2],[6]]=>[3,2,1]=>[2,3,1]
[[1],[3],[6]]=>[3,2,1]=>[2,3,1]
[[1],[4],[6]]=>[3,2,1]=>[2,3,1]
[[1],[5],[6]]=>[3,2,1]=>[2,3,1]
[[2],[3],[6]]=>[3,2,1]=>[2,3,1]
[[2],[4],[6]]=>[3,2,1]=>[2,3,1]
[[2],[5],[6]]=>[3,2,1]=>[2,3,1]
[[3],[4],[6]]=>[3,2,1]=>[2,3,1]
[[3],[5],[6]]=>[3,2,1]=>[2,3,1]
[[4],[5],[6]]=>[3,2,1]=>[2,3,1]
[[1,1,1,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,2,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,3,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,4,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,2,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,3,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,4,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,3,3,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,3,4,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,3,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,2,5]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,3,5]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,4,5]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[2,3,3,5]]=>[1,2,3,4]=>[1,2,3,4]
[[2,3,4,5]]=>[1,2,3,4]=>[1,2,3,4]
[[2,3,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[2,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]
[[2,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[2,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[3,3,3,5]]=>[1,2,3,4]=>[1,2,3,4]
[[3,3,4,5]]=>[1,2,3,4]=>[1,2,3,4]
[[3,3,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[3,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]
[[3,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[3,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[4,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]
[[4,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[4,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[5,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,1],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,2],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,5],[2]]=>[3,1,2,4]=>[3,1,2,4]
[[1,1,3],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,5],[3]]=>[3,1,2,4]=>[3,1,2,4]
[[1,1,4],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,5],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[1,1,5],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[1,2,2],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[1,2,5],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,3],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[1,2,5],[3]]=>[3,1,2,4]=>[3,1,2,4]
[[1,3,5],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,4],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[1,2,5],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[1,4,5],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,5],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[1,5,5],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,3],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[1,3,5],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,4],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[1,3,5],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[1,4,5],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,5],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[1,5,5],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,4,4],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[1,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[1,4,5],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[1,5,5],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[1,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[2,2,2],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[2,2,3],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[2,2,5],[3]]=>[3,1,2,4]=>[3,1,2,4]
[[2,2,4],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[2,2,5],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[2,2,5],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[2,3,3],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[2,3,5],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,3,4],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[2,3,5],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[2,4,5],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,3,5],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[2,5,5],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,4,4],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[2,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[2,4,5],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[2,5,5],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[2,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[3,3,3],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[3,3,4],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[3,3,5],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[3,3,5],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[3,4,4],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[3,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[3,4,5],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[3,5,5],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[3,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[4,4,4],[5]]=>[4,1,2,3]=>[4,1,2,3]
[[4,4,5],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[4,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[1,1],[2,5]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[3,5]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[4,5]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[5,5]]=>[3,4,1,2]=>[4,1,3,2]
[[1,2],[2,5]]=>[2,4,1,3]=>[4,2,1,3]
[[1,2],[3,5]]=>[3,4,1,2]=>[4,1,3,2]
[[1,3],[2,5]]=>[2,4,1,3]=>[4,2,1,3]
[[1,2],[4,5]]=>[3,4,1,2]=>[4,1,3,2]
[[1,4],[2,5]]=>[2,4,1,3]=>[4,2,1,3]
[[1,2],[5,5]]=>[3,4,1,2]=>[4,1,3,2]
[[1,3],[3,5]]=>[2,4,1,3]=>[4,2,1,3]
[[1,3],[4,5]]=>[3,4,1,2]=>[4,1,3,2]
[[1,4],[3,5]]=>[2,4,1,3]=>[4,2,1,3]
[[1,3],[5,5]]=>[3,4,1,2]=>[4,1,3,2]
[[1,4],[4,5]]=>[2,4,1,3]=>[4,2,1,3]
[[1,4],[5,5]]=>[3,4,1,2]=>[4,1,3,2]
[[2,2],[3,5]]=>[3,4,1,2]=>[4,1,3,2]
[[2,2],[4,5]]=>[3,4,1,2]=>[4,1,3,2]
[[2,2],[5,5]]=>[3,4,1,2]=>[4,1,3,2]
[[2,3],[3,5]]=>[2,4,1,3]=>[4,2,1,3]
[[2,3],[4,5]]=>[3,4,1,2]=>[4,1,3,2]
[[2,4],[3,5]]=>[2,4,1,3]=>[4,2,1,3]
[[2,3],[5,5]]=>[3,4,1,2]=>[4,1,3,2]
[[2,4],[4,5]]=>[2,4,1,3]=>[4,2,1,3]
[[2,4],[5,5]]=>[3,4,1,2]=>[4,1,3,2]
[[3,3],[4,5]]=>[3,4,1,2]=>[4,1,3,2]
[[3,3],[5,5]]=>[3,4,1,2]=>[4,1,3,2]
[[3,4],[4,5]]=>[2,4,1,3]=>[4,2,1,3]
[[3,4],[5,5]]=>[3,4,1,2]=>[4,1,3,2]
[[4,4],[5,5]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[2],[5]]=>[4,3,1,2]=>[3,1,4,2]
[[1,1],[3],[5]]=>[4,3,1,2]=>[3,1,4,2]
[[1,1],[4],[5]]=>[4,3,1,2]=>[3,1,4,2]
[[1,2],[2],[5]]=>[4,2,1,3]=>[2,4,1,3]
[[1,2],[3],[5]]=>[4,3,1,2]=>[3,1,4,2]
[[1,3],[2],[5]]=>[4,2,1,3]=>[2,4,1,3]
[[1,5],[2],[3]]=>[3,2,1,4]=>[2,3,1,4]
[[1,2],[4],[5]]=>[4,3,1,2]=>[3,1,4,2]
[[1,4],[2],[5]]=>[4,2,1,3]=>[2,4,1,3]
[[1,5],[2],[4]]=>[3,2,1,4]=>[2,3,1,4]
[[1,5],[2],[5]]=>[3,2,1,4]=>[2,3,1,4]
[[1,3],[3],[5]]=>[4,2,1,3]=>[2,4,1,3]
[[1,3],[4],[5]]=>[4,3,1,2]=>[3,1,4,2]
[[1,4],[3],[5]]=>[4,2,1,3]=>[2,4,1,3]
[[1,5],[3],[4]]=>[3,2,1,4]=>[2,3,1,4]
[[1,5],[3],[5]]=>[3,2,1,4]=>[2,3,1,4]
[[1,4],[4],[5]]=>[4,2,1,3]=>[2,4,1,3]
[[1,5],[4],[5]]=>[3,2,1,4]=>[2,3,1,4]
[[2,2],[3],[5]]=>[4,3,1,2]=>[3,1,4,2]
[[2,2],[4],[5]]=>[4,3,1,2]=>[3,1,4,2]
[[2,3],[3],[5]]=>[4,2,1,3]=>[2,4,1,3]
[[2,3],[4],[5]]=>[4,3,1,2]=>[3,1,4,2]
[[2,4],[3],[5]]=>[4,2,1,3]=>[2,4,1,3]
[[2,5],[3],[4]]=>[3,2,1,4]=>[2,3,1,4]
[[2,5],[3],[5]]=>[3,2,1,4]=>[2,3,1,4]
[[2,4],[4],[5]]=>[4,2,1,3]=>[2,4,1,3]
[[2,5],[4],[5]]=>[3,2,1,4]=>[2,3,1,4]
[[3,3],[4],[5]]=>[4,3,1,2]=>[3,1,4,2]
[[3,4],[4],[5]]=>[4,2,1,3]=>[2,4,1,3]
[[3,5],[4],[5]]=>[3,2,1,4]=>[2,3,1,4]
[[1],[2],[3],[5]]=>[4,3,2,1]=>[2,3,4,1]
[[1],[2],[4],[5]]=>[4,3,2,1]=>[2,3,4,1]
[[1],[3],[4],[5]]=>[4,3,2,1]=>[2,3,4,1]
[[2],[3],[4],[5]]=>[4,3,2,1]=>[2,3,4,1]
[[1,1,1,1,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,2,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,2,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,2,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,2,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,2,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,2,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,3,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,3,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,3,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,2,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,2,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,2,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,3,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,3,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,3,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,3,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,3,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,3,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[4,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,1],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,1,2],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,1,4],[2]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,1,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,1,4],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,1,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,2,2],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,2,4],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,2,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,2,4],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,3,4],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,2,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,4,4],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,3,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,3,4],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,3,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,4,4],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,4,4],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,2,2,2],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,2,2,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,2,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,2,2,4],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,2,3,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,2,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,2,4,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,3,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,2,3,4],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,3,3,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,3,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,2,4,4],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,3,4,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,4,4],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,4,4,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,3,3,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,3,3,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,3,3,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,3,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,3,4,4],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,4,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,4,4,4],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,2,2,2],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,2,2,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,2,2,4],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,2,2,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,2,3,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,2,3,4],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,2,3,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,2,4,4],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,2,4,4],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,3,3,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,3,3,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,3,3,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,3,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,3,4,4],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,4,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,4,4,4],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[3,3,3,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[3,3,3,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[3,3,4,4],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[3,4,4,4],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,1,1],[2,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,1],[3,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,1],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,2],[2,4]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,1,4],[2,2]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,2],[3,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,3],[2,4]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,1,4],[2,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,2],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,4],[2,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,3],[3,4]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,1,4],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,3],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,4],[3,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,4],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,2,2],[2,4]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,2,2],[3,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,2,3],[2,4]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,2,4],[2,3]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,2,2],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,2,4],[2,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,2,3],[3,4]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,2,4],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,3,3],[2,4]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,2,3],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,2,4],[3,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,3,4],[2,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,2,4],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,3,3],[3,4]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,3,3],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,3,4],[3,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,3,4],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,2,2],[3,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,2,2],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,2,3],[3,4]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[2,2,4],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,2,3],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,2,4],[3,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,2,4],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,3,3],[3,4]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[2,3,3],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,3,4],[3,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[2,3,4],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[3,3,3],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[3,3,4],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,1],[2],[4]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,1,1],[3],[4]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,1,2],[2],[4]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,1,2],[3],[4]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,1,3],[2],[4]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,1,4],[2],[3]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,1,4],[2],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,1,3],[3],[4]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,1,4],[3],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,2,2],[2],[4]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,2,2],[3],[4]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,2,3],[2],[4]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,2,4],[2],[3]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,2,4],[2],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,2,3],[3],[4]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,3,3],[2],[4]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,3,4],[2],[3]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,2,4],[3],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,3,4],[2],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,4,4],[2],[3]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,4,4],[2],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,3,3],[3],[4]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,3,4],[3],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,4,4],[3],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[2,2,2],[3],[4]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[2,2,3],[3],[4]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[2,2,4],[3],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[2,3,3],[3],[4]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[2,3,4],[3],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[2,4,4],[3],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,1],[2,2],[4]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,1],[2,3],[4]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,1],[2,4],[3]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,1],[2,4],[4]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,1],[3,3],[4]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,1],[3,4],[4]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,2],[2,3],[4]]=>[5,2,4,1,3]=>[4,5,1,2,3]
[[1,2],[2,4],[3]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,2],[2,4],[4]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,2],[3,3],[4]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,3],[2,4],[3]]=>[3,2,5,1,4]=>[5,3,2,1,4]
[[1,2],[3,4],[4]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,3],[2,4],[4]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,3],[3,4],[4]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[2,2],[3,3],[4]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[2,2],[3,4],[4]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[2,3],[3,4],[4]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,1],[2],[3],[4]]=>[5,4,3,1,2]=>[3,1,4,5,2]
[[1,2],[2],[3],[4]]=>[5,4,2,1,3]=>[2,4,1,5,3]
[[1,3],[2],[3],[4]]=>[5,3,2,1,4]=>[2,3,5,1,4]
[[1,4],[2],[3],[4]]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[1,1,1,1,1,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,1,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,1,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,2,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,2,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,2,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,2,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,2,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,2,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,3,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,2,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,2,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,2,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,3,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[3,3,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,1,1],[3]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,1,1,2],[3]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,1,1,3],[2]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,1,1,3],[3]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,1,2,2],[3]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,1,2,3],[2]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,1,2,3],[3]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,1,3,3],[2]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,1,3,3],[3]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,2,2,2],[3]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,2,2,3],[2]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,1,2,2,3],[3]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,2,3,3],[2]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,1,2,3,3],[3]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,3,3,3],[2]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,1,3,3,3],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,2,2,2,2],[3]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,2,2,2,3],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,2,2,2,3],[3]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,2,2,3,3],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,2,2,3,3],[3]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,2,3,3,3],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,2,3,3,3],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,3,3,3,3],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,3,3,3,3],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[2,2,2,2,2],[3]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[2,2,2,2,3],[3]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[2,2,2,3,3],[3]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[2,2,3,3,3],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[2,3,3,3,3],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,1,1,1],[2,3]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,1,1],[3,3]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,1,2],[2,3]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]
[[1,1,1,3],[2,2]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,1,2],[3,3]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,1,3],[2,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,1,3],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,2,2],[2,3]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]
[[1,1,2,3],[2,2]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,2,2],[3,3]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,2,3],[2,3]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]
[[1,1,3,3],[2,2]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,2,3],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,3,3],[2,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,3,3],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,2,2,2],[2,3]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]
[[1,2,2,2],[3,3]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,2,2,3],[2,3]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]
[[1,2,2,3],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,2,3,3],[2,3]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]
[[1,2,3,3],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[2,2,2,2],[3,3]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[2,2,2,3],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[2,2,3,3],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,1,1],[2],[3]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]
[[1,1,1,2],[2],[3]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]
[[1,1,1,3],[2],[3]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]
[[1,1,2,2],[2],[3]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]
[[1,1,2,3],[2],[3]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]
[[1,1,3,3],[2],[3]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]
[[1,2,2,2],[2],[3]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[[1,2,2,3],[2],[3]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[[1,2,3,3],[2],[3]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[[1,3,3,3],[2],[3]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[1,1,1],[2,2,3]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,1],[2,3,3]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,1],[3,3,3]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,2],[2,2,3]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]
[[1,1,2],[2,3,3]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]
[[1,1,2],[3,3,3]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,2,2],[2,3,3]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]
[[1,2,2],[3,3,3]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[2,2,2],[3,3,3]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,1],[2,2],[3]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]
[[1,1,1],[2,3],[3]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]
[[1,1,2],[2,2],[3]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]
[[1,1,2],[2,3],[3]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]
[[1,1,3],[2,2],[3]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]
[[1,1,3],[2,3],[3]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]
[[1,2,2],[2,3],[3]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]
[[1,2,3],[2,3],[3]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]
[[1,1],[2,2],[3,3]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]
[[1,1,1,1,1,1,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,1,1,2,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,1,2,2,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,2,2,2,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,2,2,2,2,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,1,1,1],[2]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[[1,1,1,1,1,2],[2]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[[1,1,1,1,2,2],[2]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[[1,1,1,2,2,2],[2]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]
[[1,1,2,2,2,2],[2]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[[1,2,2,2,2,2],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[[1,1,1,1,1],[2,2]]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]
[[1,1,1,1,2],[2,2]]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]
[[1,1,1,2,2],[2,2]]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]
[[1,1,2,2,2],[2,2]]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]
[[1,1,1,1],[2,2,2]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]
[[1,1,1,2],[2,2,2]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]
[[1,8]]=>[1,2]=>[1,2]
[[2,8]]=>[1,2]=>[1,2]
[[3,8]]=>[1,2]=>[1,2]
[[4,8]]=>[1,2]=>[1,2]
[[5,8]]=>[1,2]=>[1,2]
[[6,8]]=>[1,2]=>[1,2]
[[7,8]]=>[1,2]=>[1,2]
[[8,8]]=>[1,2]=>[1,2]
[[1],[8]]=>[2,1]=>[2,1]
[[2],[8]]=>[2,1]=>[2,1]
[[3],[8]]=>[2,1]=>[2,1]
[[4],[8]]=>[2,1]=>[2,1]
[[5],[8]]=>[2,1]=>[2,1]
[[6],[8]]=>[2,1]=>[2,1]
[[7],[8]]=>[2,1]=>[2,1]
[[1,1,7]]=>[1,2,3]=>[1,2,3]
[[1,2,7]]=>[1,2,3]=>[1,2,3]
[[1,3,7]]=>[1,2,3]=>[1,2,3]
[[1,4,7]]=>[1,2,3]=>[1,2,3]
[[1,5,7]]=>[1,2,3]=>[1,2,3]
[[1,6,7]]=>[1,2,3]=>[1,2,3]
[[1,7,7]]=>[1,2,3]=>[1,2,3]
[[2,2,7]]=>[1,2,3]=>[1,2,3]
[[2,3,7]]=>[1,2,3]=>[1,2,3]
[[2,4,7]]=>[1,2,3]=>[1,2,3]
[[2,5,7]]=>[1,2,3]=>[1,2,3]
[[2,6,7]]=>[1,2,3]=>[1,2,3]
[[2,7,7]]=>[1,2,3]=>[1,2,3]
[[3,3,7]]=>[1,2,3]=>[1,2,3]
[[3,4,7]]=>[1,2,3]=>[1,2,3]
[[3,5,7]]=>[1,2,3]=>[1,2,3]
[[3,6,7]]=>[1,2,3]=>[1,2,3]
[[3,7,7]]=>[1,2,3]=>[1,2,3]
[[4,4,7]]=>[1,2,3]=>[1,2,3]
[[4,5,7]]=>[1,2,3]=>[1,2,3]
[[4,6,7]]=>[1,2,3]=>[1,2,3]
[[4,7,7]]=>[1,2,3]=>[1,2,3]
[[5,5,7]]=>[1,2,3]=>[1,2,3]
[[5,6,7]]=>[1,2,3]=>[1,2,3]
[[5,7,7]]=>[1,2,3]=>[1,2,3]
[[6,6,7]]=>[1,2,3]=>[1,2,3]
[[6,7,7]]=>[1,2,3]=>[1,2,3]
[[7,7,7]]=>[1,2,3]=>[1,2,3]
[[1,1],[7]]=>[3,1,2]=>[3,1,2]
[[1,2],[7]]=>[3,1,2]=>[3,1,2]
[[1,7],[2]]=>[2,1,3]=>[2,1,3]
[[1,3],[7]]=>[3,1,2]=>[3,1,2]
[[1,7],[3]]=>[2,1,3]=>[2,1,3]
[[1,4],[7]]=>[3,1,2]=>[3,1,2]
[[1,7],[4]]=>[2,1,3]=>[2,1,3]
[[1,5],[7]]=>[3,1,2]=>[3,1,2]
[[1,7],[5]]=>[2,1,3]=>[2,1,3]
[[1,6],[7]]=>[3,1,2]=>[3,1,2]
[[1,7],[6]]=>[2,1,3]=>[2,1,3]
[[1,7],[7]]=>[2,1,3]=>[2,1,3]
[[2,2],[7]]=>[3,1,2]=>[3,1,2]
[[2,3],[7]]=>[3,1,2]=>[3,1,2]
[[2,7],[3]]=>[2,1,3]=>[2,1,3]
[[2,4],[7]]=>[3,1,2]=>[3,1,2]
[[2,7],[4]]=>[2,1,3]=>[2,1,3]
[[2,5],[7]]=>[3,1,2]=>[3,1,2]
[[2,7],[5]]=>[2,1,3]=>[2,1,3]
[[2,6],[7]]=>[3,1,2]=>[3,1,2]
[[2,7],[6]]=>[2,1,3]=>[2,1,3]
[[2,7],[7]]=>[2,1,3]=>[2,1,3]
[[3,3],[7]]=>[3,1,2]=>[3,1,2]
[[3,4],[7]]=>[3,1,2]=>[3,1,2]
[[3,7],[4]]=>[2,1,3]=>[2,1,3]
[[3,5],[7]]=>[3,1,2]=>[3,1,2]
[[3,7],[5]]=>[2,1,3]=>[2,1,3]
[[3,6],[7]]=>[3,1,2]=>[3,1,2]
[[3,7],[6]]=>[2,1,3]=>[2,1,3]
[[3,7],[7]]=>[2,1,3]=>[2,1,3]
[[4,4],[7]]=>[3,1,2]=>[3,1,2]
[[4,5],[7]]=>[3,1,2]=>[3,1,2]
[[4,7],[5]]=>[2,1,3]=>[2,1,3]
[[4,6],[7]]=>[3,1,2]=>[3,1,2]
[[4,7],[6]]=>[2,1,3]=>[2,1,3]
[[4,7],[7]]=>[2,1,3]=>[2,1,3]
[[5,5],[7]]=>[3,1,2]=>[3,1,2]
[[5,6],[7]]=>[3,1,2]=>[3,1,2]
[[5,7],[6]]=>[2,1,3]=>[2,1,3]
[[5,7],[7]]=>[2,1,3]=>[2,1,3]
[[6,6],[7]]=>[3,1,2]=>[3,1,2]
[[6,7],[7]]=>[2,1,3]=>[2,1,3]
[[1],[2],[7]]=>[3,2,1]=>[2,3,1]
[[1],[3],[7]]=>[3,2,1]=>[2,3,1]
[[1],[4],[7]]=>[3,2,1]=>[2,3,1]
[[1],[5],[7]]=>[3,2,1]=>[2,3,1]
[[1],[6],[7]]=>[3,2,1]=>[2,3,1]
[[2],[3],[7]]=>[3,2,1]=>[2,3,1]
[[2],[4],[7]]=>[3,2,1]=>[2,3,1]
[[2],[5],[7]]=>[3,2,1]=>[2,3,1]
[[2],[6],[7]]=>[3,2,1]=>[2,3,1]
[[3],[4],[7]]=>[3,2,1]=>[2,3,1]
[[3],[5],[7]]=>[3,2,1]=>[2,3,1]
[[3],[6],[7]]=>[3,2,1]=>[2,3,1]
[[4],[5],[7]]=>[3,2,1]=>[2,3,1]
[[4],[6],[7]]=>[3,2,1]=>[2,3,1]
[[5],[6],[7]]=>[3,2,1]=>[2,3,1]
[[1,1,1,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,2,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,3,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,4,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,2,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,3,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,4,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,2,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,3,3,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,3,4,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,3,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,3,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,2,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,3,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,4,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,2,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,3,3,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,3,4,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,3,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,3,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[2,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[3,3,3,6]]=>[1,2,3,4]=>[1,2,3,4]
[[3,3,4,6]]=>[1,2,3,4]=>[1,2,3,4]
[[3,3,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[3,3,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[3,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]
[[3,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[3,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[3,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[3,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[3,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[4,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]
[[4,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[4,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[4,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[4,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[4,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[5,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]
[[5,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[5,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[6,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]
[[1,1,1],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,2],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,6],[2]]=>[3,1,2,4]=>[3,1,2,4]
[[1,1,3],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,6],[3]]=>[3,1,2,4]=>[3,1,2,4]
[[1,1,4],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,6],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[1,1,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,1,6],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[1,1,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[1,2,2],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,2,6],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,3],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,2,6],[3]]=>[3,1,2,4]=>[3,1,2,4]
[[1,3,6],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,4],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,2,6],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[1,4,6],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,2,6],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[1,5,6],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[1,6,6],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,3],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,3,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,4],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,3,6],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[1,4,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,3,6],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[1,5,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[1,6,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,4,4],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[1,4,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,4,6],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[1,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[1,4,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[1,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[1,5,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[1,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[1,5,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[1,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[1,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]
[[2,2,2],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[2,2,3],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[2,2,6],[3]]=>[3,1,2,4]=>[3,1,2,4]
[[2,2,4],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[2,2,6],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[2,2,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[2,2,6],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[2,2,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[2,3,3],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[2,3,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,3,4],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[2,3,6],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[2,4,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,3,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[2,3,6],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[2,5,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,3,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[2,6,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,4,4],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[2,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[2,4,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[2,4,6],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[2,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[2,4,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[2,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[2,5,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[2,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[2,5,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[2,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[2,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]
[[3,3,3],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[3,3,4],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[3,3,6],[4]]=>[3,1,2,4]=>[3,1,2,4]
[[3,3,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[3,3,6],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[3,3,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[3,4,4],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[3,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[3,4,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[3,4,6],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[3,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[3,4,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[3,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[3,5,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[3,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[3,5,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[3,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[3,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]
[[4,4,4],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[4,4,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[4,4,6],[5]]=>[3,1,2,4]=>[3,1,2,4]
[[4,4,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[4,5,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[4,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[4,5,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[4,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[4,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]
[[5,5,5],[6]]=>[4,1,2,3]=>[4,1,2,3]
[[5,5,6],[6]]=>[3,1,2,4]=>[3,1,2,4]
[[5,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]
[[1,1],[2,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[3,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[4,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[5,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,2],[2,6]]=>[2,4,1,3]=>[4,2,1,3]
[[1,2],[3,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,3],[2,6]]=>[2,4,1,3]=>[4,2,1,3]
[[1,2],[4,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,4],[2,6]]=>[2,4,1,3]=>[4,2,1,3]
[[1,2],[5,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,5],[2,6]]=>[2,4,1,3]=>[4,2,1,3]
[[1,2],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,3],[3,6]]=>[2,4,1,3]=>[4,2,1,3]
[[1,3],[4,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,4],[3,6]]=>[2,4,1,3]=>[4,2,1,3]
[[1,3],[5,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,5],[3,6]]=>[2,4,1,3]=>[4,2,1,3]
[[1,3],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,4],[4,6]]=>[2,4,1,3]=>[4,2,1,3]
[[1,4],[5,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,5],[4,6]]=>[2,4,1,3]=>[4,2,1,3]
[[1,4],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,5],[5,6]]=>[2,4,1,3]=>[4,2,1,3]
[[1,5],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[2,2],[3,6]]=>[3,4,1,2]=>[4,1,3,2]
[[2,2],[4,6]]=>[3,4,1,2]=>[4,1,3,2]
[[2,2],[5,6]]=>[3,4,1,2]=>[4,1,3,2]
[[2,2],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[2,3],[3,6]]=>[2,4,1,3]=>[4,2,1,3]
[[2,3],[4,6]]=>[3,4,1,2]=>[4,1,3,2]
[[2,4],[3,6]]=>[2,4,1,3]=>[4,2,1,3]
[[2,3],[5,6]]=>[3,4,1,2]=>[4,1,3,2]
[[2,5],[3,6]]=>[2,4,1,3]=>[4,2,1,3]
[[2,3],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[2,4],[4,6]]=>[2,4,1,3]=>[4,2,1,3]
[[2,4],[5,6]]=>[3,4,1,2]=>[4,1,3,2]
[[2,5],[4,6]]=>[2,4,1,3]=>[4,2,1,3]
[[2,4],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[2,5],[5,6]]=>[2,4,1,3]=>[4,2,1,3]
[[2,5],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[3,3],[4,6]]=>[3,4,1,2]=>[4,1,3,2]
[[3,3],[5,6]]=>[3,4,1,2]=>[4,1,3,2]
[[3,3],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[3,4],[4,6]]=>[2,4,1,3]=>[4,2,1,3]
[[3,4],[5,6]]=>[3,4,1,2]=>[4,1,3,2]
[[3,5],[4,6]]=>[2,4,1,3]=>[4,2,1,3]
[[3,4],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[3,5],[5,6]]=>[2,4,1,3]=>[4,2,1,3]
[[3,5],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[4,4],[5,6]]=>[3,4,1,2]=>[4,1,3,2]
[[4,4],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[4,5],[5,6]]=>[2,4,1,3]=>[4,2,1,3]
[[4,5],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[5,5],[6,6]]=>[3,4,1,2]=>[4,1,3,2]
[[1,1],[2],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[1,1],[3],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[1,1],[4],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[1,1],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[1,2],[2],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[1,2],[3],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[1,3],[2],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[1,6],[2],[3]]=>[3,2,1,4]=>[2,3,1,4]
[[1,2],[4],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[1,4],[2],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[1,6],[2],[4]]=>[3,2,1,4]=>[2,3,1,4]
[[1,2],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[1,5],[2],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[1,6],[2],[5]]=>[3,2,1,4]=>[2,3,1,4]
[[1,6],[2],[6]]=>[3,2,1,4]=>[2,3,1,4]
[[1,3],[3],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[1,3],[4],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[1,4],[3],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[1,6],[3],[4]]=>[3,2,1,4]=>[2,3,1,4]
[[1,3],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[1,5],[3],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[1,6],[3],[5]]=>[3,2,1,4]=>[2,3,1,4]
[[1,6],[3],[6]]=>[3,2,1,4]=>[2,3,1,4]
[[1,4],[4],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[1,4],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[1,5],[4],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[1,6],[4],[5]]=>[3,2,1,4]=>[2,3,1,4]
[[1,6],[4],[6]]=>[3,2,1,4]=>[2,3,1,4]
[[1,5],[5],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[1,6],[5],[6]]=>[3,2,1,4]=>[2,3,1,4]
[[2,2],[3],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[2,2],[4],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[2,2],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[2,3],[3],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[2,3],[4],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[2,4],[3],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[2,6],[3],[4]]=>[3,2,1,4]=>[2,3,1,4]
[[2,3],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[2,5],[3],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[2,6],[3],[5]]=>[3,2,1,4]=>[2,3,1,4]
[[2,6],[3],[6]]=>[3,2,1,4]=>[2,3,1,4]
[[2,4],[4],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[2,4],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[2,5],[4],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[2,6],[4],[5]]=>[3,2,1,4]=>[2,3,1,4]
[[2,6],[4],[6]]=>[3,2,1,4]=>[2,3,1,4]
[[2,5],[5],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[2,6],[5],[6]]=>[3,2,1,4]=>[2,3,1,4]
[[3,3],[4],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[3,3],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[3,4],[4],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[3,4],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[3,5],[4],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[3,6],[4],[5]]=>[3,2,1,4]=>[2,3,1,4]
[[3,6],[4],[6]]=>[3,2,1,4]=>[2,3,1,4]
[[3,5],[5],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[3,6],[5],[6]]=>[3,2,1,4]=>[2,3,1,4]
[[4,4],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]
[[4,5],[5],[6]]=>[4,2,1,3]=>[2,4,1,3]
[[4,6],[5],[6]]=>[3,2,1,4]=>[2,3,1,4]
[[1],[2],[3],[6]]=>[4,3,2,1]=>[2,3,4,1]
[[1],[2],[4],[6]]=>[4,3,2,1]=>[2,3,4,1]
[[1],[2],[5],[6]]=>[4,3,2,1]=>[2,3,4,1]
[[1],[3],[4],[6]]=>[4,3,2,1]=>[2,3,4,1]
[[1],[3],[5],[6]]=>[4,3,2,1]=>[2,3,4,1]
[[1],[4],[5],[6]]=>[4,3,2,1]=>[2,3,4,1]
[[2],[3],[4],[6]]=>[4,3,2,1]=>[2,3,4,1]
[[2],[3],[5],[6]]=>[4,3,2,1]=>[2,3,4,1]
[[2],[4],[5],[6]]=>[4,3,2,1]=>[2,3,4,1]
[[3],[4],[5],[6]]=>[4,3,2,1]=>[2,3,4,1]
[[1,1,1,1,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,2,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,2,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,2,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,2,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,2,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,2,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,2,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,2,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,2,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,3,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,3,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,3,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,3,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,3,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,3,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,4,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,4,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,4,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,5,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,2,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,2,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,2,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,2,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,2,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,3,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,3,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,3,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,3,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,3,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,3,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,4,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,4,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,4,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[2,5,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,3,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,3,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,3,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,3,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,3,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,3,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,4,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,4,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,4,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[3,5,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[4,4,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[4,4,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[4,4,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[4,5,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[5,5,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[1,1,1,1],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,1,2],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,1,5],[2]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,1,3],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,1,5],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,1,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,1,5],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,1,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,2,2],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,2,5],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,2,3],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,2,5],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,3,5],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,2,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,2,5],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,4,5],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,2,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,5,5],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,3,3],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,3,5],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,3,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,3,5],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,4,5],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,3,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,5,5],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,4,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,1,4,5],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,4,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,1,5,5],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,1,5,5],[5]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,2,2,2],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,2,2,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,2,3],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,2,2,5],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,2,3,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,2,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,2,2,5],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,2,4,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,2,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,2,5,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,3,3],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,2,3,5],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,3,3,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,3,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,2,3,5],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,2,4,5],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,3,4,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,3,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,2,5,5],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,3,5,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,4,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,2,4,5],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,4,4,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,4,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,2,5,5],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,4,5,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,2,5,5],[5]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,5,5,5],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,3,3,3],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,3,3,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,3,3,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,3,3,5],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,3,4,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,3,3,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,3,5,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,3,4,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,3,4,5],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,4,4,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,3,4,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,3,5,5],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,4,5,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,3,5,5],[5]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,5,5,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,4,4,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[1,4,4,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,4,4,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[1,4,5,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,4,5,5],[5]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[1,5,5,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,5,5,5],[5]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,2,2,2],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,2,2,3],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,2,2,5],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,2,2,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,2,2,5],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,2,2,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,2,3,3],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,2,3,5],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,2,3,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,2,3,5],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,2,4,5],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,2,3,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,2,5,5],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,2,4,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,2,4,5],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,2,4,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,2,5,5],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,2,5,5],[5]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,3,3,3],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,3,3,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,3,3,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,3,3,5],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,3,4,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,3,3,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,3,5,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,3,4,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,3,4,5],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,4,4,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,3,4,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,3,5,5],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,4,5,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,3,5,5],[5]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,5,5,5],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,4,4,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[2,4,4,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,4,4,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[2,4,5,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,4,5,5],[5]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[2,5,5,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[2,5,5,5],[5]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[3,3,3,3],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[3,3,3,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[3,3,3,5],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[3,3,3,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[3,3,4,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[3,3,4,5],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[3,3,4,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[3,3,5,5],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[3,3,5,5],[5]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[3,4,4,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[3,4,4,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[3,4,4,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[3,4,5,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[3,4,5,5],[5]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[3,5,5,5],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[3,5,5,5],[5]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[4,4,4,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[4,4,4,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[4,4,5,5],[5]]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[4,5,5,5],[5]]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[1,1,1],[2,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,1],[3,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,1],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,1],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,2],[2,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,1,5],[2,2]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,2],[3,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,3],[2,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,1,5],[2,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,2],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,4],[2,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,1,5],[2,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,2],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,5],[2,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,3],[3,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,1,5],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,3],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,4],[3,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,1,5],[3,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,3],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,5],[3,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,4],[4,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,1,5],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,1,5],[4,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,2,2],[2,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,2,2],[3,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,2,3],[2,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,2,5],[2,3]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,2,2],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,2,4],[2,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,2,5],[2,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,2,2],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,2,5],[2,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,2,3],[3,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,2,5],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,3,3],[2,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,2,3],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,2,4],[3,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,2,5],[3,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,3,4],[2,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,3,5],[2,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,2,3],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,2,5],[3,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,3,5],[2,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,2,4],[4,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,2,5],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,4,4],[2,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,2,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,2,5],[4,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,4,5],[2,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,2,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,3,3],[3,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,3,3],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,3,4],[3,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,3,5],[3,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,3,3],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,3,5],[3,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,3,4],[4,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[1,3,5],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,4,4],[3,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,3,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,3,5],[4,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,4,5],[3,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,3,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,4,4],[4,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[1,4,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[1,4,5],[4,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[1,4,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,2,2],[3,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,2,2],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,2,2],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,2,3],[3,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[2,2,5],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,2,3],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,2,4],[3,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[2,2,5],[3,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,2,3],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,2,5],[3,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,2,4],[4,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[2,2,5],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,2,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,2,5],[4,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,2,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,3,3],[3,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[2,3,3],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,3,4],[3,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[2,3,5],[3,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[2,3,3],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,3,5],[3,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[2,3,4],[4,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[2,3,5],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,4,4],[3,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[2,3,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,3,5],[4,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,4,5],[3,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[2,3,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[2,4,4],[4,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[2,4,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[2,4,5],[4,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[2,4,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[3,3,3],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[3,3,3],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[3,3,4],[4,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[3,3,5],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[3,3,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[3,3,5],[4,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[3,3,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[3,4,4],[4,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]
[[3,4,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[3,4,5],[4,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[3,4,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[4,4,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[4,4,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[1,1,1],[2],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,1,1],[3],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,1,1],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,1,2],[2],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,1,2],[3],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,1,3],[2],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,1,5],[2],[3]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,1,2],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,1,4],[2],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,1,5],[2],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,1,5],[2],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,1,3],[3],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,1,3],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,1,4],[3],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,1,5],[3],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,1,5],[3],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,1,4],[4],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,1,5],[4],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,2,2],[2],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,2,2],[3],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,2,3],[2],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,2,5],[2],[3]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,2,2],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,2,4],[2],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,2,5],[2],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,2,5],[2],[5]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,2,3],[3],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,3,3],[2],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,3,5],[2],[3]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,2,5],[3],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,3,5],[2],[5]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,5,5],[2],[3]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,2,4],[4],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,4,4],[2],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,4,5],[2],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,2,5],[4],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,4,5],[2],[5]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,5,5],[2],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,5,5],[2],[5]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,3,3],[3],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,3,3],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[1,3,4],[3],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,3,5],[3],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,3,5],[3],[5]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,3,4],[4],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[1,4,4],[3],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,4,5],[3],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,3,5],[4],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[1,4,5],[3],[5]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,5,5],[3],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,5,5],[3],[5]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,4,4],[4],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[1,4,5],[4],[5]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[1,5,5],[4],[5]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[2,2,2],[3],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[2,2,2],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[2,2,3],[3],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[2,2,3],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[2,2,4],[3],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[2,2,5],[3],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[2,2,5],[3],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[2,2,4],[4],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[2,2,5],[4],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[2,3,3],[3],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[2,3,3],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[2,3,4],[3],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[2,3,5],[3],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[2,3,5],[3],[5]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[2,3,4],[4],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[2,4,4],[3],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[2,4,5],[3],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[2,3,5],[4],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[2,4,5],[3],[5]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[2,5,5],[3],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[2,5,5],[3],[5]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[2,4,4],[4],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[2,4,5],[4],[5]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[2,5,5],[4],[5]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[3,3,3],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[3,3,4],[4],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[3,3,5],[4],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[3,4,4],[4],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[3,4,5],[4],[5]]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[3,5,5],[4],[5]]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[1,1],[2,2],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,1],[2,3],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,1],[2,5],[3]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,1],[2,4],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,1],[2,5],[4]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,1],[2,5],[5]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,1],[3,3],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,1],[3,4],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,1],[3,5],[4]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,1],[3,5],[5]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,1],[4,4],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,1],[4,5],[5]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,2],[2,3],[5]]=>[5,2,4,1,3]=>[4,5,1,2,3]
[[1,2],[2,5],[3]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,2],[2,4],[5]]=>[5,2,4,1,3]=>[4,5,1,2,3]
[[1,2],[2,5],[4]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,2],[2,5],[5]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,2],[3,3],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,3],[2,5],[3]]=>[3,2,5,1,4]=>[5,3,2,1,4]
[[1,2],[3,4],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>[4,5,1,2,3]
[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[5,3,2,1,4]
[[1,2],[3,5],[5]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,3],[2,5],[5]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,2],[4,4],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,4],[2,5],[4]]=>[3,2,5,1,4]=>[5,3,2,1,4]
[[1,2],[4,5],[5]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,4],[2,5],[5]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,3],[3,4],[5]]=>[5,2,4,1,3]=>[4,5,1,2,3]
[[1,3],[3,5],[4]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,3],[3,5],[5]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,3],[4,4],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[1,4],[3,5],[4]]=>[3,2,5,1,4]=>[5,3,2,1,4]
[[1,3],[4,5],[5]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[1,4],[3,5],[5]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,4],[4,5],[5]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[2,2],[3,3],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[2,2],[3,4],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[2,2],[3,5],[4]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[2,2],[3,5],[5]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[2,2],[4,4],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[2,2],[4,5],[5]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[2,3],[3,4],[5]]=>[5,2,4,1,3]=>[4,5,1,2,3]
[[2,3],[3,5],[4]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[2,3],[3,5],[5]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[2,3],[4,4],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[2,4],[3,5],[4]]=>[3,2,5,1,4]=>[5,3,2,1,4]
[[2,3],[4,5],[5]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[2,4],[3,5],[5]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[2,4],[4,5],[5]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[3,3],[4,4],[5]]=>[5,3,4,1,2]=>[4,1,5,3,2]
[[3,3],[4,5],[5]]=>[4,3,5,1,2]=>[5,1,4,3,2]
[[3,4],[4,5],[5]]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[1,1],[2],[3],[5]]=>[5,4,3,1,2]=>[3,1,4,5,2]
[[1,1],[2],[4],[5]]=>[5,4,3,1,2]=>[3,1,4,5,2]
[[1,1],[3],[4],[5]]=>[5,4,3,1,2]=>[3,1,4,5,2]
[[1,2],[2],[3],[5]]=>[5,4,2,1,3]=>[2,4,1,5,3]
[[1,2],[2],[4],[5]]=>[5,4,2,1,3]=>[2,4,1,5,3]
[[1,3],[2],[3],[5]]=>[5,3,2,1,4]=>[2,3,5,1,4]
[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>[3,1,4,5,2]
[[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>[2,4,1,5,3]
[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>[2,3,5,1,4]
[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[1,5],[2],[3],[5]]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[1,4],[2],[4],[5]]=>[5,3,2,1,4]=>[2,3,5,1,4]
[[1,5],[2],[4],[5]]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[1,3],[3],[4],[5]]=>[5,4,2,1,3]=>[2,4,1,5,3]
[[1,4],[3],[4],[5]]=>[5,3,2,1,4]=>[2,3,5,1,4]
[[1,5],[3],[4],[5]]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[2,2],[3],[4],[5]]=>[5,4,3,1,2]=>[3,1,4,5,2]
[[2,3],[3],[4],[5]]=>[5,4,2,1,3]=>[2,4,1,5,3]
[[2,4],[3],[4],[5]]=>[5,3,2,1,4]=>[2,3,5,1,4]
[[2,5],[3],[4],[5]]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[1,1,1,1,1,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,1,2,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,1,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,1,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,2,2,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,2,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,2,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,2,2,2,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,2,2,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,2,2,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,2,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,2,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,2,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,3,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,3,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,3,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,2,2,2,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,2,2,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,2,2,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,2,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,2,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,2,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,3,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,3,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,3,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,3,3,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,3,3,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,3,3,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,3,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,4,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,2,2,2,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,2,2,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,2,2,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,2,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,2,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,2,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,3,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,3,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,3,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,2,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,3,3,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,3,3,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,3,3,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,3,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[2,4,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[3,3,3,3,3,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[3,3,3,3,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[3,3,3,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[3,3,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[3,4,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[4,4,4,4,4,4]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,1,1,1,1],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,1,1,2],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,1,1,4],[2]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,1,1,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,1,1,4],[3]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,1,1,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,1,2,2],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,1,2,4],[2]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,1,2,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,1,2,4],[3]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,1,3,4],[2]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,1,2,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,1,4,4],[2]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,1,3,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,1,3,4],[3]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,1,3,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,1,4,4],[3]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,1,4,4],[4]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,2,2,2],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,2,2,4],[2]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,1,2,2,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,2,2,4],[3]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,2,3,4],[2]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,1,2,2,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,2,4,4],[2]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,1,2,3,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,2,3,4],[3]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,3,3,4],[2]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,1,2,3,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,2,4,4],[3]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,3,4,4],[2]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,1,2,4,4],[4]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,4,4,4],[2]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,1,3,3,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,1,3,3,4],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,1,3,3,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,1,3,4,4],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,1,3,4,4],[4]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,1,4,4,4],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,1,4,4,4],[4]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,2,2,2,2],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,2,2,2,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,2,2,2,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,2,2,2,4],[3]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,2,2,3,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,2,2,2,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,2,2,4,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,2,2,3,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,2,2,3,4],[3]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,2,3,3,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,2,2,3,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,2,2,4,4],[3]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,2,3,4,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,2,2,4,4],[4]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,2,4,4,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,2,3,3,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,2,3,3,4],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,3,3,3,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,2,3,3,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,2,3,4,4],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,3,3,4,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,2,3,4,4],[4]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,2,4,4,4],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,3,4,4,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,2,4,4,4],[4]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,4,4,4,4],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,3,3,3,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,3,3,4,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,3,4,4,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,4,4,4,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[2,2,2,2,2],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[2,2,2,2,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[2,2,2,2,4],[3]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[2,2,2,2,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[2,2,2,3,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[2,2,2,3,4],[3]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[2,2,2,3,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[2,2,2,4,4],[3]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[2,2,2,4,4],[4]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[2,2,3,3,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[2,2,3,3,4],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[2,2,3,3,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[2,2,3,4,4],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[2,2,3,4,4],[4]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[2,2,4,4,4],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[2,2,4,4,4],[4]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[2,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[2,3,3,3,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[2,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[2,3,3,4,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[2,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[2,3,4,4,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[2,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[2,4,4,4,4],[3]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[2,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[3,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[3,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[3,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[3,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[3,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,1,1,1],[2,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,1,1],[3,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,1,1],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,1,2],[2,4]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]
[[1,1,1,4],[2,2]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,1,2],[3,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,1,3],[2,4]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]
[[1,1,1,4],[2,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,1,2],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,1,4],[2,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,1,3],[3,4]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]
[[1,1,1,4],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,1,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,1,4],[3,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,1,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,2,2],[2,4]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]
[[1,1,2,4],[2,2]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,2,2],[3,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,2,3],[2,4]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]
[[1,1,2,4],[2,3]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]
[[1,1,3,4],[2,2]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,2,2],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,2,4],[2,4]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]
[[1,1,4,4],[2,2]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,2,3],[3,4]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]
[[1,1,2,4],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,3,3],[2,4]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]
[[1,1,3,4],[2,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,2,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,2,4],[3,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,3,4],[2,4]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]
[[1,1,4,4],[2,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,2,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,4,4],[2,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,3,3],[3,4]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]
[[1,1,3,4],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,3,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,1,3,4],[3,4]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]
[[1,1,4,4],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,3,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,1,4,4],[3,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,4,4],[4,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,2,2,2],[2,4]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]
[[1,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,2,2,3],[2,4]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]
[[1,2,2,4],[2,3]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]
[[1,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,2,2,4],[2,4]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]
[[1,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]
[[1,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,2,3,3],[2,4]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]
[[1,2,3,4],[2,3]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]
[[1,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,2,3,4],[2,4]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]
[[1,2,4,4],[2,3]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]
[[1,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,2,4,4],[2,4]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]
[[1,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]
[[1,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,3,3,3],[2,4]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]
[[1,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]
[[1,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,3,3,4],[2,4]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]
[[1,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,3,4,4],[2,4]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]
[[1,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]
[[1,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]
[[1,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]
[[1,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[2,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[2,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[2,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]
[[2,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[2,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[2,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[2,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[2,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]
[[2,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[2,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[2,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]
[[2,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[2,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[2,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[2,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[2,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]
[[2,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[2,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]
[[2,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[2,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]
[[2,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[3,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[3,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[3,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,1,1,1],[2],[4]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]
[[1,1,1,1],[3],[4]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]
[[1,1,1,2],[2],[4]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]
[[1,1,1,2],[3],[4]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]
[[1,1,1,3],[2],[4]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]
[[1,1,1,4],[2],[3]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]
[[1,1,1,4],[2],[4]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]
[[1,1,1,3],[3],[4]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]
[[1,1,1,4],[3],[4]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]
[[1,1,2,2],[2],[4]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]
[[1,1,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]
[[1,1,2,3],[2],[4]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]
[[1,1,2,4],[2],[3]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]
[[1,1,2,4],[2],[4]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]
[[1,1,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]
[[1,1,3,3],[2],[4]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]
[[1,1,3,4],[2],[3]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]
[[1,1,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]
[[1,1,3,4],[2],[4]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]
[[1,1,4,4],[2],[3]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]
[[1,1,4,4],[2],[4]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]
[[1,1,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]
[[1,1,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]
[[1,1,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]
[[1,2,2,2],[2],[4]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[[1,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]
[[1,2,2,3],[2],[4]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[[1,2,2,4],[2],[3]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[[1,2,2,4],[2],[4]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[[1,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]
[[1,2,3,3],[2],[4]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[[1,2,3,4],[2],[3]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[[1,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]
[[1,2,3,4],[2],[4]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[[1,2,4,4],[2],[3]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[[1,2,4,4],[2],[4]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[[1,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]
[[1,3,3,3],[2],[4]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[[1,3,3,4],[2],[3]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[1,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]
[[1,3,3,4],[2],[4]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[[1,3,4,4],[2],[3]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[1,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]
[[1,3,4,4],[2],[4]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[[1,4,4,4],[2],[3]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[1,4,4,4],[2],[4]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[1,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[[1,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[[1,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[[1,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[2,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]
[[2,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]
[[2,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]
[[2,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]
[[2,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]
[[2,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]
[[2,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[[2,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[[2,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[[2,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[1,1,1],[2,2,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,1],[2,3,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,1],[2,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,1],[3,3,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,1],[3,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,1],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,2],[2,2,4]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]
[[1,1,2],[2,3,4]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]
[[1,1,3],[2,2,4]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]
[[1,1,2],[2,4,4]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]
[[1,1,2],[3,3,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,3],[2,3,4]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]
[[1,1,2],[3,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,3],[2,4,4]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]
[[1,1,2],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,3],[3,3,4]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]
[[1,1,3],[3,4,4]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]
[[1,1,3],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,2,2],[2,3,4]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]
[[1,2,2],[2,4,4]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]
[[1,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,2,3],[2,3,4]]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]
[[1,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,2,3],[2,4,4]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]
[[1,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]
[[1,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]
[[1,3,3],[2,4,4]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]
[[1,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]
[[1,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[2,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[2,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[2,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[2,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]
[[2,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]
[[2,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[2,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]
[[2,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[3,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,1,1],[2,2],[4]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]
[[1,1,1],[2,3],[4]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]
[[1,1,1],[2,4],[3]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]
[[1,1,1],[2,4],[4]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]
[[1,1,1],[3,3],[4]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]
[[1,1,1],[3,4],[4]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]
[[1,1,2],[2,2],[4]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]
[[1,1,2],[2,3],[4]]=>[6,3,5,1,2,4]=>[5,1,6,2,3,4]
[[1,1,2],[2,4],[3]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]
[[1,1,3],[2,2],[4]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]
[[1,1,4],[2,2],[3]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]
[[1,1,2],[2,4],[4]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]
[[1,1,4],[2,2],[4]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]
[[1,1,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]
[[1,1,3],[2,3],[4]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]
[[1,1,3],[2,4],[3]]=>[4,3,6,1,2,5]=>[6,1,4,3,2,5]
[[1,1,4],[2,3],[3]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]
[[1,1,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]
[[1,1,3],[2,4],[4]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]
[[1,1,4],[2,3],[4]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]
[[1,1,4],[2,4],[3]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]
[[1,1,4],[2,4],[4]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]
[[1,1,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]
[[1,1,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]
[[1,1,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]
[[1,1,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]
[[1,2,2],[2,3],[4]]=>[6,2,5,1,3,4]=>[5,6,1,3,2,4]
[[1,2,2],[2,4],[3]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]
[[1,2,2],[2,4],[4]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]
[[1,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]
[[1,2,3],[2,3],[4]]=>[6,2,4,1,3,5]=>[4,6,1,2,3,5]
[[1,2,3],[2,4],[3]]=>[4,2,6,1,3,5]=>[6,4,1,2,3,5]
[[1,2,4],[2,3],[3]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]
[[1,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]
[[1,2,3],[2,4],[4]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]
[[1,2,4],[2,3],[4]]=>[5,2,4,1,3,6]=>[4,5,1,2,3,6]
[[1,2,4],[2,4],[3]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]
[[1,2,4],[2,4],[4]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]
[[1,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]
[[1,3,3],[2,4],[3]]=>[3,2,6,1,4,5]=>[6,3,2,1,4,5]
[[1,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]
[[1,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]
[[1,3,3],[2,4],[4]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]
[[1,3,4],[2,4],[3]]=>[3,2,5,1,4,6]=>[5,3,2,1,4,6]
[[1,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]
[[1,3,4],[2,4],[4]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]
[[1,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]
[[1,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]
[[2,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]
[[2,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]
[[2,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]
[[2,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]
[[2,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]
[[2,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]
[[2,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]
[[2,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]
[[1,1,1],[2],[3],[4]]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3]
[[1,1,2],[2],[3],[4]]=>[6,5,3,1,2,4]=>[3,1,5,2,6,4]
[[1,1,3],[2],[3],[4]]=>[6,4,3,1,2,5]=>[3,1,4,6,2,5]
[[1,1,4],[2],[3],[4]]=>[5,4,3,1,2,6]=>[3,1,4,5,2,6]
[[1,2,2],[2],[3],[4]]=>[6,5,2,1,3,4]=>[2,5,1,3,6,4]
[[1,2,3],[2],[3],[4]]=>[6,4,2,1,3,5]=>[2,4,1,6,3,5]
[[1,2,4],[2],[3],[4]]=>[5,4,2,1,3,6]=>[2,4,1,5,3,6]
[[1,3,3],[2],[3],[4]]=>[6,3,2,1,4,5]=>[2,3,6,1,4,5]
[[1,3,4],[2],[3],[4]]=>[5,3,2,1,4,6]=>[2,3,5,1,4,6]
[[1,4,4],[2],[3],[4]]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[[1,1],[2,2],[3,4]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]
[[1,1],[2,2],[4,4]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]
[[1,1],[2,3],[3,4]]=>[4,6,3,5,1,2]=>[5,1,6,4,3,2]
[[1,1],[2,3],[4,4]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]
[[1,1],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]
[[1,2],[2,3],[3,4]]=>[4,6,2,5,1,3]=>[5,6,1,4,2,3]
[[1,2],[2,3],[4,4]]=>[5,6,2,4,1,3]=>[4,6,1,2,5,3]
[[1,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]
[[2,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]
[[1,1],[2,2],[3],[4]]=>[6,5,3,4,1,2]=>[4,1,5,3,6,2]
[[1,1],[2,3],[3],[4]]=>[6,4,3,5,1,2]=>[5,1,4,6,3,2]
[[1,1],[2,4],[3],[4]]=>[5,4,3,6,1,2]=>[6,1,4,5,3,2]
[[1,2],[2,3],[3],[4]]=>[6,4,2,5,1,3]=>[5,4,1,6,2,3]
[[1,2],[2,4],[3],[4]]=>[5,4,2,6,1,3]=>[6,4,1,5,2,3]
[[1,3],[2,4],[3],[4]]=>[5,3,2,6,1,4]=>[6,3,5,1,2,4]
[[1,1,1,1,1,1,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,1,1,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,1,1,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,1,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,1,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,1,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,2,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,2,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,2,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,2,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,2,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,2,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[2,2,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[2,2,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[2,2,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[2,2,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[2,2,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[2,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[3,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[1,1,1,1,1,1],[3]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[[1,1,1,1,1,2],[3]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[[1,1,1,1,1,3],[2]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[[1,1,1,1,1,3],[3]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[[1,1,1,1,2,2],[3]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[[1,1,1,1,2,3],[2]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[[1,1,1,1,2,3],[3]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[[1,1,1,1,3,3],[2]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[[1,1,1,1,3,3],[3]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[[1,1,1,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[[1,1,1,2,2,3],[2]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]
[[1,1,1,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[[1,1,1,2,3,3],[2]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]
[[1,1,1,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[[1,1,1,3,3,3],[2]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]
[[1,1,1,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]
[[1,1,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[[1,1,2,2,2,3],[2]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[[1,1,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[[1,1,2,2,3,3],[2]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[[1,1,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[[1,1,2,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[[1,1,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]
[[1,1,3,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[[1,1,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[[1,2,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[[1,2,2,2,2,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[[1,2,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[[1,2,2,2,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[[1,2,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[[1,2,2,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[[1,2,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]
[[1,2,3,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[[1,2,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[[1,3,3,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[[1,3,3,3,3,3],[3]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[[2,2,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[[2,2,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[[2,2,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[[2,2,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]
[[2,2,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[[2,3,3,3,3,3],[3]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[[1,1,1,1,1],[2,3]]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]
[[1,1,1,1,1],[3,3]]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]
[[1,1,1,1,2],[2,3]]=>[5,7,1,2,3,4,6]=>[7,1,2,3,5,4,6]
[[1,1,1,1,3],[2,2]]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]
[[1,1,1,1,2],[3,3]]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]
[[1,1,1,1,3],[2,3]]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]
[[1,1,1,1,3],[3,3]]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]
[[1,1,1,2,2],[2,3]]=>[4,7,1,2,3,5,6]=>[7,1,2,4,3,5,6]
[[1,1,1,2,3],[2,2]]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]
[[1,1,1,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]
[[1,1,1,2,3],[2,3]]=>[4,6,1,2,3,5,7]=>[6,1,2,4,3,5,7]
[[1,1,1,3,3],[2,2]]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]
[[1,1,1,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]
[[1,1,1,3,3],[2,3]]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]
[[1,1,1,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]
[[1,1,2,2,2],[2,3]]=>[3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6]
[[1,1,2,2,3],[2,2]]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]
[[1,1,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]
[[1,1,2,2,3],[2,3]]=>[3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7]
[[1,1,2,3,3],[2,2]]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]
[[1,1,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]
[[1,1,2,3,3],[2,3]]=>[3,5,1,2,4,6,7]=>[5,1,3,2,4,6,7]
[[1,1,3,3,3],[2,2]]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]
[[1,1,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]
[[1,1,3,3,3],[2,3]]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]
[[1,1,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]
[[1,2,2,2,2],[2,3]]=>[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6]
[[1,2,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]
[[1,2,2,2,3],[2,3]]=>[2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7]
[[1,2,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]
[[1,2,2,3,3],[2,3]]=>[2,5,1,3,4,6,7]=>[5,2,1,3,4,6,7]
[[1,2,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]
[[1,2,3,3,3],[2,3]]=>[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7]
[[1,2,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]
[[2,2,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]
[[2,2,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]
[[2,2,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]
[[2,2,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]
[[1,1,1,1,1],[2],[3]]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5]
[[1,1,1,1,2],[2],[3]]=>[7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6]
[[1,1,1,1,3],[2],[3]]=>[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7]
[[1,1,1,2,2],[2],[3]]=>[7,4,1,2,3,5,6]=>[4,1,2,7,3,5,6]
[[1,1,1,2,3],[2],[3]]=>[6,4,1,2,3,5,7]=>[4,1,2,6,3,5,7]
[[1,1,1,3,3],[2],[3]]=>[5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7]
[[1,1,2,2,2],[2],[3]]=>[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]
[[1,1,2,2,3],[2],[3]]=>[6,3,1,2,4,5,7]=>[3,1,6,2,4,5,7]
[[1,1,2,3,3],[2],[3]]=>[5,3,1,2,4,6,7]=>[3,1,5,2,4,6,7]
[[1,1,3,3,3],[2],[3]]=>[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7]
[[1,2,2,2,2],[2],[3]]=>[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]
[[1,2,2,2,3],[2],[3]]=>[6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7]
[[1,2,2,3,3],[2],[3]]=>[5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7]
[[1,2,3,3,3],[2],[3]]=>[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]
[[1,3,3,3,3],[2],[3]]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]
[[1,1,1,1],[2,2,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]
[[1,1,1,1],[2,3,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]
[[1,1,1,1],[3,3,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]
[[1,1,1,2],[2,2,3]]=>[4,5,7,1,2,3,6]=>[7,1,2,4,5,3,6]
[[1,1,1,3],[2,2,2]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]
[[1,1,1,2],[2,3,3]]=>[4,6,7,1,2,3,5]=>[7,1,2,4,3,6,5]
[[1,1,1,3],[2,2,3]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]
[[1,1,1,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]
[[1,1,1,3],[2,3,3]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]
[[1,1,1,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]
[[1,1,2,2],[2,2,3]]=>[3,4,7,1,2,5,6]=>[7,1,3,4,2,5,6]
[[1,1,2,2],[2,3,3]]=>[3,6,7,1,2,4,5]=>[7,1,3,2,4,6,5]
[[1,1,2,3],[2,2,3]]=>[3,4,6,1,2,5,7]=>[6,1,3,4,2,5,7]
[[1,1,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]
[[1,1,2,3],[2,3,3]]=>[3,5,6,1,2,4,7]=>[6,1,3,2,5,4,7]
[[1,1,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]
[[1,2,2,2],[2,3,3]]=>[2,6,7,1,3,4,5]=>[7,2,1,3,4,6,5]
[[1,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]
[[1,2,2,3],[2,3,3]]=>[2,5,6,1,3,4,7]=>[6,2,1,3,5,4,7]
[[1,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]
[[2,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]
[[2,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]
[[1,1,1,1],[2,2],[3]]=>[7,5,6,1,2,3,4]=>[6,1,2,3,7,5,4]
[[1,1,1,1],[2,3],[3]]=>[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4]
[[1,1,1,2],[2,2],[3]]=>[7,4,5,1,2,3,6]=>[5,1,2,7,4,3,6]
[[1,1,1,2],[2,3],[3]]=>[6,4,7,1,2,3,5]=>[7,1,2,6,3,4,5]
[[1,1,1,3],[2,2],[3]]=>[6,4,5,1,2,3,7]=>[5,1,2,6,4,3,7]
[[1,1,1,3],[2,3],[3]]=>[5,4,6,1,2,3,7]=>[6,1,2,5,4,3,7]
[[1,1,2,2],[2,2],[3]]=>[7,3,4,1,2,5,6]=>[4,1,7,3,2,5,6]
[[1,1,2,2],[2,3],[3]]=>[6,3,7,1,2,4,5]=>[7,1,6,2,4,3,5]
[[1,1,2,3],[2,2],[3]]=>[6,3,4,1,2,5,7]=>[4,1,6,3,2,5,7]
[[1,1,2,3],[2,3],[3]]=>[5,3,6,1,2,4,7]=>[6,1,5,2,3,4,7]
[[1,1,3,3],[2,2],[3]]=>[5,3,4,1,2,6,7]=>[4,1,5,3,2,6,7]
[[1,1,3,3],[2,3],[3]]=>[4,3,5,1,2,6,7]=>[5,1,4,3,2,6,7]
[[1,2,2,2],[2,3],[3]]=>[6,2,7,1,3,4,5]=>[7,6,1,3,4,2,5]
[[1,2,2,3],[2,3],[3]]=>[5,2,6,1,3,4,7]=>[6,5,1,3,2,4,7]
[[1,2,3,3],[2,3],[3]]=>[4,2,5,1,3,6,7]=>[5,4,1,2,3,6,7]
[[1,1,1],[2,2,2],[3]]=>[7,4,5,6,1,2,3]=>[6,1,2,7,4,5,3]
[[1,1,1],[2,2,3],[3]]=>[6,4,5,7,1,2,3]=>[7,1,2,6,4,5,3]
[[1,1,1],[2,3,3],[3]]=>[5,4,6,7,1,2,3]=>[7,1,2,5,4,6,3]
[[1,1,2],[2,2,3],[3]]=>[6,3,4,7,1,2,5]=>[7,1,6,3,2,4,5]
[[1,1,2],[2,3,3],[3]]=>[5,3,6,7,1,2,4]=>[7,1,5,2,3,6,4]
[[1,2,2],[2,3,3],[3]]=>[5,2,6,7,1,3,4]=>[7,5,1,3,2,6,4]
[[1,1,1],[2,2],[3,3]]=>[6,7,4,5,1,2,3]=>[5,1,2,7,4,6,3]
[[1,1,2],[2,2],[3,3]]=>[6,7,3,4,1,2,5]=>[4,1,7,3,2,6,5]
[[1,1,3],[2,2],[3,3]]=>[5,6,3,4,1,2,7]=>[4,1,6,3,5,2,7]
[[1,1,1,1,1,1,1,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[1,1,1,1,1,1,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[1,1,1,1,1,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[1,1,1,1,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[1,1,1,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[1,1,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[1,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[2,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[1,1,1,1,1,1,1],[2]]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]
[[1,1,1,1,1,1,2],[2]]=>[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6,8]
[[1,1,1,1,1,2,2],[2]]=>[6,1,2,3,4,5,7,8]=>[6,1,2,3,4,5,7,8]
[[1,1,1,1,2,2,2],[2]]=>[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8]
[[1,1,1,2,2,2,2],[2]]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]
[[1,1,2,2,2,2,2],[2]]=>[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]
[[1,2,2,2,2,2,2],[2]]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]
[[1,1,1,1,1,1],[2,2]]=>[7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,7,6]
[[1,1,1,1,1,2],[2,2]]=>[6,7,1,2,3,4,5,8]=>[7,1,2,3,4,6,5,8]
[[1,1,1,1,2,2],[2,2]]=>[5,6,1,2,3,4,7,8]=>[6,1,2,3,5,4,7,8]
[[1,1,1,2,2,2],[2,2]]=>[4,5,1,2,3,6,7,8]=>[5,1,2,4,3,6,7,8]
[[1,1,2,2,2,2],[2,2]]=>[3,4,1,2,5,6,7,8]=>[4,1,3,2,5,6,7,8]
[[1,1,1,1,1],[2,2,2]]=>[6,7,8,1,2,3,4,5]=>[8,1,2,3,4,6,7,5]
[[1,1,1,1,2],[2,2,2]]=>[5,6,7,1,2,3,4,8]=>[7,1,2,3,5,6,4,8]
[[1,1,1,2,2],[2,2,2]]=>[4,5,6,1,2,3,7,8]=>[6,1,2,4,5,3,7,8]
[[1,1,1,1],[2,2,2,2]]=>[5,6,7,8,1,2,3,4]=>[8,1,2,3,5,6,7,4]
[[1]]=>[1]=>[1]
[[1,1,1,1],[2,2,2],[3,3],[4]]=>[10,8,9,5,6,7,1,2,3,4]=>[7,1,2,3,9,5,6,10,8,4]
[[1,1,1,2],[2,2,2],[3,3],[4]]=>[10,8,9,4,5,6,1,2,3,7]=>[6,1,2,9,4,5,3,10,8,7]
[[1,1,1,1],[2,2,3],[3,3],[4]]=>[10,7,8,5,6,9,1,2,3,4]=>[9,1,2,3,8,5,10,7,6,4]
[[1,1,1,2],[2,2,3],[3,3],[4]]=>[10,7,8,4,5,9,1,2,3,6]=>[9,1,2,8,4,3,10,7,5,6]
[[1,1,1,3],[2,2,3],[3,3],[4]]=>[10,6,7,4,5,8,1,2,3,9]=>[8,1,2,7,4,10,6,5,3,9]
[[1,1,2,2],[2,2,3],[3,3],[4]]=>[10,7,8,3,4,9,1,2,5,6]=>[9,1,8,3,2,5,10,7,4,6]
[[1,1,2,3],[2,2,3],[3,3],[4]]=>[10,6,7,3,4,8,1,2,5,9]=>[8,1,7,3,2,10,6,4,5,9]
[[1,1,1,1],[2,2,2],[3,4],[4]]=>[9,8,10,5,6,7,1,2,3,4]=>[7,1,2,3,10,5,6,9,8,4]
[[1,1,1,2],[2,2,2],[3,4],[4]]=>[9,8,10,4,5,6,1,2,3,7]=>[6,1,2,10,4,5,3,9,8,7]
[[1,1,1,1],[2,2,3],[3,4],[4]]=>[9,7,10,5,6,8,1,2,3,4]=>[8,1,2,3,10,5,9,6,7,4]
[[1,1,1,2],[2,2,3],[3,4],[4]]=>[9,7,10,4,5,8,1,2,3,6]=>[8,1,2,10,4,3,9,5,7,6]
[[1,1,1,3],[2,2,3],[3,4],[4]]=>[9,6,10,4,5,7,1,2,3,8]=>[7,1,2,10,4,9,5,3,6,8]
[[1,1,2,2],[2,2,3],[3,4],[4]]=>[9,7,10,3,4,8,1,2,5,6]=>[8,1,10,3,2,5,9,4,7,6]
[[1,1,2,3],[2,2,3],[3,4],[4]]=>[9,6,10,3,4,7,1,2,5,8]=>[7,1,10,3,2,9,4,5,6,8]
[[1,1,1,1],[2,2,4],[3,4],[4]]=>[8,7,9,5,6,10,1,2,3,4]=>[10,1,2,3,9,5,8,7,6,4]
[[1,1,1,2],[2,2,4],[3,4],[4]]=>[8,7,9,4,5,10,1,2,3,6]=>[10,1,2,9,4,3,8,7,5,6]
[[1,1,1,3],[2,2,4],[3,4],[4]]=>[8,6,9,4,5,10,1,2,3,7]=>[10,1,2,9,4,8,3,6,5,7]
[[1,1,1,4],[2,2,4],[3,4],[4]]=>[7,6,8,4,5,9,1,2,3,10]=>[9,1,2,8,4,7,6,5,3,10]
[[1,1,2,2],[2,2,4],[3,4],[4]]=>[8,7,9,3,4,10,1,2,5,6]=>[10,1,9,3,2,5,8,7,4,6]
[[1,1,2,3],[2,2,4],[3,4],[4]]=>[8,6,9,3,4,10,1,2,5,7]=>[10,1,9,3,2,8,5,6,4,7]
[[1,1,2,4],[2,2,4],[3,4],[4]]=>[7,6,8,3,4,9,1,2,5,10]=>[9,1,8,3,2,7,6,4,5,10]
[[1,1,1,1],[2,3,3],[3,4],[4]]=>[9,6,10,5,7,8,1,2,3,4]=>[8,1,2,3,10,9,5,7,6,4]
[[1,1,1,2],[2,3,3],[3,4],[4]]=>[9,6,10,4,7,8,1,2,3,5]=>[8,1,2,10,3,9,4,7,6,5]
[[1,1,1,3],[2,3,3],[3,4],[4]]=>[9,5,10,4,6,7,1,2,3,8]=>[7,1,2,10,9,4,6,3,5,8]
[[1,1,2,2],[2,3,3],[3,4],[4]]=>[9,6,10,3,7,8,1,2,4,5]=>[8,1,10,2,4,9,3,7,6,5]
[[1,1,2,3],[2,3,3],[3,4],[4]]=>[9,5,10,3,6,7,1,2,4,8]=>[7,1,10,2,9,3,6,4,5,8]
[[1,1,1,1],[2,3,4],[3,4],[4]]=>[8,6,9,5,7,10,1,2,3,4]=>[10,1,2,3,9,8,5,6,7,4]
[[1,1,1,2],[2,3,4],[3,4],[4]]=>[8,6,9,4,7,10,1,2,3,5]=>[10,1,2,9,3,8,4,6,7,5]
[[1,1,1,3],[2,3,4],[3,4],[4]]=>[8,5,9,4,6,10,1,2,3,7]=>[10,1,2,9,8,4,3,5,6,7]
[[1,1,1,4],[2,3,4],[3,4],[4]]=>[7,5,8,4,6,9,1,2,3,10]=>[9,1,2,8,7,4,5,6,3,10]
[[1,1,2,2],[2,3,4],[3,4],[4]]=>[8,6,9,3,7,10,1,2,4,5]=>[10,1,9,2,4,8,3,6,7,5]
[[1,1,2,3],[2,3,4],[3,4],[4]]=>[8,5,9,3,6,10,1,2,4,7]=>[10,1,9,2,8,3,4,5,6,7]
[[1,1,2,4],[2,3,4],[3,4],[4]]=>[7,5,8,3,6,9,1,2,4,10]=>[9,1,8,2,7,3,5,6,4,10]
[[1,1,3,3],[2,3,4],[3,4],[4]]=>[8,4,9,3,5,10,1,2,6,7]=>[10,1,9,8,3,2,6,4,5,7]
[[1,1,3,4],[2,3,4],[3,4],[4]]=>[7,4,8,3,5,9,1,2,6,10]=>[9,1,8,7,3,2,4,5,6,10]
[[1,2,2,2],[2,3,3],[3,4],[4]]=>[9,6,10,2,7,8,1,3,4,5]=>[8,10,1,3,4,9,2,7,6,5]
[[1,2,2,3],[2,3,3],[3,4],[4]]=>[9,5,10,2,6,7,1,3,4,8]=>[7,10,1,3,9,2,6,4,5,8]
[[1,2,2,2],[2,3,4],[3,4],[4]]=>[8,6,9,2,7,10,1,3,4,5]=>[10,9,1,3,4,8,2,6,7,5]
[[1,2,2,3],[2,3,4],[3,4],[4]]=>[8,5,9,2,6,10,1,3,4,7]=>[10,9,1,3,8,2,4,5,6,7]
[[1,2,2,4],[2,3,4],[3,4],[4]]=>[7,5,8,2,6,9,1,3,4,10]=>[9,8,1,3,7,2,5,6,4,10]
[[1,2,3,3],[2,3,4],[3,4],[4]]=>[8,4,9,2,5,10,1,3,6,7]=>[10,9,1,8,2,3,6,4,5,7]
[[1,2,3,4],[2,3,4],[3,4],[4]]=>[7,4,8,2,5,9,1,3,6,10]=>[9,8,1,7,2,3,4,5,6,10]
[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,4],[5]]=>[15,13,14,10,11,12,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,12,6,7,8,14,10,11,15,13,5]
[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,4],[5]]=>[15,13,14,10,11,12,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,12,5,6,7,4,14,10,11,15,13,9]
[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,4],[5]]=>[15,13,14,9,10,11,6,7,8,12,1,2,3,4,5]=>[12,1,2,3,4,11,6,7,14,9,10,8,15,13,5]
[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,4],[5]]=>[15,13,14,9,10,11,5,6,7,12,1,2,3,4,8]=>[12,1,2,3,11,5,6,4,14,9,10,7,15,13,8]
[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,4],[5]]=>[15,13,14,8,9,10,5,6,7,11,1,2,3,4,12]=>[11,1,2,3,10,5,6,14,8,9,7,4,15,13,12]
[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,4],[5]]=>[15,13,14,9,10,11,4,5,6,12,1,2,3,7,8]=>[12,1,2,11,4,5,3,7,14,9,10,6,15,13,8]
[[1,1,1,2,3],[2,2,2,3],[3,3,3],[4,4],[5]]=>[15,13,14,8,9,10,4,5,6,11,1,2,3,7,12]=>[11,1,2,10,4,5,3,14,8,9,6,7,15,13,12]
[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,4],[5]]=>[15,12,13,10,11,14,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,14,6,7,8,13,10,15,12,11,5]
[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,4],[5]]=>[15,12,13,10,11,14,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,14,5,6,7,4,13,10,15,12,11,9]
[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,4],[5]]=>[15,12,13,9,10,14,6,7,8,11,1,2,3,4,5]=>[11,1,2,3,4,14,6,7,13,9,8,15,12,10,5]
[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,4],[5]]=>[15,12,13,9,10,14,5,6,7,11,1,2,3,4,8]=>[11,1,2,3,14,5,6,4,13,9,7,15,12,10,8]
[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,4],[5]]=>[15,12,13,8,9,14,5,6,7,10,1,2,3,4,11]=>[10,1,2,3,14,5,6,13,8,7,4,15,12,9,11]
[[1,1,1,2,3],[2,2,2,3],[3,3,4],[4,4],[5]]=>[15,12,13,8,9,14,4,5,6,10,1,2,3,7,11]=>[10,1,2,14,4,5,3,13,8,6,7,15,12,9,11]
[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,4],[5]]=>[15,11,12,9,10,13,6,7,8,14,1,2,3,4,5]=>[14,1,2,3,4,13,6,7,12,9,15,11,10,8,5]
[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,4],[5]]=>[15,11,12,9,10,13,5,6,7,14,1,2,3,4,8]=>[14,1,2,3,13,5,6,4,12,9,15,11,10,7,8]
[[1,1,1,1,3],[2,2,2,4],[3,3,4],[4,4],[5]]=>[15,11,12,8,9,13,5,6,7,14,1,2,3,4,10]=>[14,1,2,3,13,5,6,12,8,4,15,11,9,7,10]
[[1,1,1,1,4],[2,2,2,4],[3,3,4],[4,4],[5]]=>[15,10,11,8,9,12,5,6,7,13,1,2,3,4,14]=>[13,1,2,3,12,5,6,11,8,15,10,9,7,4,14]
[[1,1,1,2,2],[2,2,2,4],[3,3,4],[4,4],[5]]=>[15,11,12,9,10,13,4,5,6,14,1,2,3,7,8]=>[14,1,2,13,4,5,3,7,12,9,15,11,10,6,8]
[[1,1,1,2,4],[2,2,2,4],[3,3,4],[4,4],[5]]=>[15,10,11,8,9,12,4,5,6,13,1,2,3,7,14]=>[13,1,2,12,4,5,3,11,8,15,10,9,6,7,14]
[[1,1,1,1,1],[2,2,3,3],[3,3,4],[4,4],[5]]=>[15,12,13,8,9,14,6,7,10,11,1,2,3,4,5]=>[11,1,2,3,4,14,6,13,8,7,10,15,12,9,5]
[[1,1,1,1,3],[2,2,3,3],[3,3,4],[4,4],[5]]=>[15,12,13,7,8,14,5,6,9,10,1,2,3,4,11]=>[10,1,2,3,14,5,13,7,6,9,4,15,12,8,11]
[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,4],[5]]=>[15,11,12,8,9,13,6,7,10,14,1,2,3,4,5]=>[14,1,2,3,4,13,6,12,8,7,15,11,9,10,5]
[[1,1,1,1,2],[2,2,3,4],[3,3,4],[4,4],[5]]=>[15,11,12,8,9,13,5,6,10,14,1,2,3,4,7]=>[14,1,2,3,13,5,4,12,8,6,15,11,9,10,7]
[[1,1,1,1,4],[2,2,3,4],[3,3,4],[4,4],[5]]=>[15,10,11,7,8,12,5,6,9,13,1,2,3,4,14]=>[13,1,2,3,12,5,11,7,6,15,10,8,9,4,14]
[[1,1,1,2,3],[2,2,3,4],[3,3,4],[4,4],[5]]=>[15,11,12,7,8,13,4,5,9,14,1,2,3,6,10]=>[14,1,2,13,4,3,12,7,5,6,15,11,8,9,10]
[[1,1,1,3,3],[2,2,3,4],[3,3,4],[4,4],[5]]=>[15,11,12,6,7,13,4,5,8,14,1,2,3,9,10]=>[14,1,2,13,4,12,6,5,3,9,15,11,7,8,10]
[[1,1,1,3,4],[2,2,3,4],[3,3,4],[4,4],[5]]=>[15,10,11,6,7,12,4,5,8,13,1,2,3,9,14]=>[13,1,2,12,4,11,6,5,3,15,10,7,8,9,14]
[[1,1,2,2,2],[2,2,3,3],[3,3,4],[4,4],[5]]=>[15,12,13,8,9,14,3,4,10,11,1,2,5,6,7]=>[11,1,14,3,2,5,6,13,8,4,10,15,12,9,7]
[[1,1,2,2,3],[2,2,3,3],[3,3,4],[4,4],[5]]=>[15,12,13,7,8,14,3,4,9,10,1,2,5,6,11]=>[10,1,14,3,2,5,13,7,4,9,6,15,12,8,11]
[[1,1,2,2,2],[2,2,3,4],[3,3,4],[4,4],[5]]=>[15,11,12,8,9,13,3,4,10,14,1,2,5,6,7]=>[14,1,13,3,2,5,6,12,8,4,15,11,9,10,7]
[[1,1,2,2,4],[2,2,3,4],[3,3,4],[4,4],[5]]=>[15,10,11,7,8,12,3,4,9,13,1,2,5,6,14]=>[13,1,12,3,2,5,11,7,4,15,10,8,9,6,14]
[[1,1,2,3,3],[2,2,3,4],[3,3,4],[4,4],[5]]=>[15,11,12,6,7,13,3,4,8,14,1,2,5,9,10]=>[14,1,13,3,2,12,6,4,5,9,15,11,7,8,10]
[[1,1,2,3,4],[2,2,3,4],[3,3,4],[4,4],[5]]=>[15,10,11,6,7,12,3,4,8,13,1,2,5,9,14]=>[13,1,12,3,2,11,6,4,5,15,10,7,8,9,14]
[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,5],[5]]=>[14,13,15,10,11,12,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,12,6,7,8,15,10,11,14,13,5]
[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,5],[5]]=>[14,13,15,10,11,12,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,12,5,6,7,4,15,10,11,14,13,9]
[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,5],[5]]=>[14,13,15,9,10,11,6,7,8,12,1,2,3,4,5]=>[12,1,2,3,4,11,6,7,15,9,10,8,14,13,5]
[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,5],[5]]=>[14,13,15,9,10,11,5,6,7,12,1,2,3,4,8]=>[12,1,2,3,11,5,6,4,15,9,10,7,14,13,8]
[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,5],[5]]=>[14,13,15,8,9,10,5,6,7,11,1,2,3,4,12]=>[11,1,2,3,10,5,6,15,8,9,7,4,14,13,12]
[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,5],[5]]=>[14,13,15,9,10,11,4,5,6,12,1,2,3,7,8]=>[12,1,2,11,4,5,3,7,15,9,10,6,14,13,8]
[[1,1,1,2,3],[2,2,2,3],[3,3,3],[4,5],[5]]=>[14,13,15,8,9,10,4,5,6,11,1,2,3,7,12]=>[11,1,2,10,4,5,3,15,8,9,6,7,14,13,12]
[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,5],[5]]=>[14,12,15,10,11,13,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,13,6,7,8,15,10,14,11,12,5]
[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,5],[5]]=>[14,12,15,10,11,13,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,13,5,6,7,4,15,10,14,11,12,9]
[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,5],[5]]=>[14,12,15,9,10,13,6,7,8,11,1,2,3,4,5]=>[11,1,2,3,4,13,6,7,15,9,8,14,10,12,5]
[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,5],[5]]=>[14,12,15,9,10,13,5,6,7,11,1,2,3,4,8]=>[11,1,2,3,13,5,6,4,15,9,7,14,10,12,8]
[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,5],[5]]=>[14,12,15,8,9,13,5,6,7,10,1,2,3,4,11]=>[10,1,2,3,13,5,6,15,8,7,4,14,9,12,11]
[[1,1,1,2,3],[2,2,2,3],[3,3,4],[4,5],[5]]=>[14,12,15,8,9,13,4,5,6,10,1,2,3,7,11]=>[10,1,2,13,4,5,3,15,8,6,7,14,9,12,11]
[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,5],[5]]=>[14,11,15,9,10,12,6,7,8,13,1,2,3,4,5]=>[13,1,2,3,4,12,6,7,15,9,14,10,8,11,5]
[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,5],[5]]=>[14,11,15,9,10,12,5,6,7,13,1,2,3,4,8]=>[13,1,2,3,12,5,6,4,15,9,14,10,7,11,8]
[[1,1,1,1,3],[2,2,2,4],[3,3,4],[4,5],[5]]=>[14,11,15,8,9,12,5,6,7,13,1,2,3,4,10]=>[13,1,2,3,12,5,6,15,8,4,14,9,7,11,10]
[[1,1,1,1,4],[2,2,2,4],[3,3,4],[4,5],[5]]=>[14,10,15,8,9,11,5,6,7,12,1,2,3,4,13]=>[12,1,2,3,11,5,6,15,8,14,9,7,4,10,13]
[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,5],[5]]=>[14,11,15,8,9,12,6,7,10,13,1,2,3,4,5]=>[13,1,2,3,4,12,6,15,8,7,14,9,10,11,5]
[[1,1,1,1,2],[2,2,3,4],[3,3,4],[4,5],[5]]=>[14,11,15,8,9,12,5,6,10,13,1,2,3,4,7]=>[13,1,2,3,12,5,4,15,8,6,14,9,10,11,7]
[[1,1,1,2,3],[2,2,3,4],[3,3,4],[4,5],[5]]=>[14,11,15,7,8,12,4,5,9,13,1,2,3,6,10]=>[13,1,2,12,4,3,15,7,5,6,14,8,9,11,10]
[[1,1,2,3,4],[2,2,3,4],[3,3,4],[4,5],[5]]=>[14,10,15,6,7,11,3,4,8,12,1,2,5,9,13]=>[12,1,11,3,2,15,6,4,5,14,7,8,9,10,13]
[[1,1,1,1,1],[2,2,2,2],[3,3,5],[4,5],[5]]=>[13,12,14,10,11,15,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,15,6,7,8,14,10,13,12,11,5]
[[1,1,1,1,2],[2,2,2,2],[3,3,5],[4,5],[5]]=>[13,12,14,10,11,15,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,15,5,6,7,4,14,10,13,12,11,9]
[[1,1,1,1,1],[2,2,2,3],[3,3,5],[4,5],[5]]=>[13,12,14,9,10,15,6,7,8,11,1,2,3,4,5]=>[11,1,2,3,4,15,6,7,14,9,8,13,12,10,5]
[[1,1,1,1,2],[2,2,2,3],[3,3,5],[4,5],[5]]=>[13,12,14,9,10,15,5,6,7,11,1,2,3,4,8]=>[11,1,2,3,15,5,6,4,14,9,7,13,12,10,8]
[[1,1,1,1,3],[2,2,2,3],[3,3,5],[4,5],[5]]=>[13,12,14,8,9,15,5,6,7,10,1,2,3,4,11]=>[10,1,2,3,15,5,6,14,8,7,4,13,12,9,11]
[[1,1,1,1,1],[2,2,2,4],[3,3,5],[4,5],[5]]=>[13,11,14,9,10,15,6,7,8,12,1,2,3,4,5]=>[12,1,2,3,4,15,6,7,14,9,13,8,11,10,5]
[[1,1,1,1,2],[2,2,2,4],[3,3,5],[4,5],[5]]=>[13,11,14,9,10,15,5,6,7,12,1,2,3,4,8]=>[12,1,2,3,15,5,6,4,14,9,13,7,11,10,8]
[[1,1,1,1,3],[2,2,2,4],[3,3,5],[4,5],[5]]=>[13,11,14,8,9,15,5,6,7,12,1,2,3,4,10]=>[12,1,2,3,15,5,6,14,8,4,13,7,11,9,10]
[[1,1,1,1,4],[2,2,2,4],[3,3,5],[4,5],[5]]=>[13,10,14,8,9,15,5,6,7,11,1,2,3,4,12]=>[11,1,2,3,15,5,6,14,8,13,7,4,10,9,12]
[[1,1,1,1,1],[2,2,2,5],[3,3,5],[4,5],[5]]=>[12,11,13,9,10,14,6,7,8,15,1,2,3,4,5]=>[15,1,2,3,4,14,6,7,13,9,12,11,10,8,5]
[[1,1,1,1,2],[2,2,2,5],[3,3,5],[4,5],[5]]=>[12,11,13,9,10,14,5,6,7,15,1,2,3,4,8]=>[15,1,2,3,14,5,6,4,13,9,12,11,10,7,8]
[[1,1,1,1,3],[2,2,2,5],[3,3,5],[4,5],[5]]=>[12,11,13,8,9,14,5,6,7,15,1,2,3,4,10]=>[15,1,2,3,14,5,6,13,8,4,12,11,9,7,10]
[[1,1,1,1,4],[2,2,2,5],[3,3,5],[4,5],[5]]=>[12,10,13,8,9,14,5,6,7,15,1,2,3,4,11]=>[15,1,2,3,14,5,6,13,8,12,4,10,9,7,11]
[[1,1,1,1,5],[2,2,2,5],[3,3,5],[4,5],[5]]=>[11,10,12,8,9,13,5,6,7,14,1,2,3,4,15]=>[14,1,2,3,13,5,6,12,8,11,10,9,7,4,15]
[[1,1,1,2,2],[2,2,2,5],[3,3,5],[4,5],[5]]=>[12,11,13,9,10,14,4,5,6,15,1,2,3,7,8]=>[15,1,2,14,4,5,3,7,13,9,12,11,10,6,8]
[[1,1,1,2,5],[2,2,2,5],[3,3,5],[4,5],[5]]=>[11,10,12,8,9,13,4,5,6,14,1,2,3,7,15]=>[14,1,2,13,4,5,3,12,8,11,10,9,6,7,15]
[[1,1,1,1,1],[2,2,3,3],[3,3,5],[4,5],[5]]=>[13,12,14,8,9,15,6,7,10,11,1,2,3,4,5]=>[11,1,2,3,4,15,6,14,8,7,10,13,12,9,5]
[[1,1,1,1,3],[2,2,3,3],[3,3,5],[4,5],[5]]=>[13,12,14,7,8,15,5,6,9,10,1,2,3,4,11]=>[10,1,2,3,15,5,14,7,6,9,4,13,12,8,11]
[[1,1,1,1,1],[2,2,3,5],[3,3,5],[4,5],[5]]=>[12,11,13,8,9,14,6,7,10,15,1,2,3,4,5]=>[15,1,2,3,4,14,6,13,8,7,12,11,9,10,5]
[[1,1,1,1,5],[2,2,3,5],[3,3,5],[4,5],[5]]=>[11,10,12,7,8,13,5,6,9,14,1,2,3,4,15]=>[14,1,2,3,13,5,12,7,6,11,10,8,9,4,15]
[[1,1,1,3,3],[2,2,3,5],[3,3,5],[4,5],[5]]=>[12,11,13,6,7,14,4,5,8,15,1,2,3,9,10]=>[15,1,2,14,4,13,6,5,3,9,12,11,7,8,10]
[[1,1,1,3,5],[2,2,3,5],[3,3,5],[4,5],[5]]=>[11,10,12,6,7,13,4,5,8,14,1,2,3,9,15]=>[14,1,2,13,4,12,6,5,3,11,10,7,8,9,15]
[[1,1,2,2,2],[2,2,3,3],[3,3,5],[4,5],[5]]=>[13,12,14,8,9,15,3,4,10,11,1,2,5,6,7]=>[11,1,15,3,2,5,6,14,8,4,10,13,12,9,7]
[[1,1,2,2,3],[2,2,3,3],[3,3,5],[4,5],[5]]=>[13,12,14,7,8,15,3,4,9,10,1,2,5,6,11]=>[10,1,15,3,2,5,14,7,4,9,6,13,12,8,11]
[[1,1,2,2,2],[2,2,3,5],[3,3,5],[4,5],[5]]=>[12,11,13,8,9,14,3,4,10,15,1,2,5,6,7]=>[15,1,14,3,2,5,6,13,8,4,12,11,9,10,7]
[[1,1,2,2,5],[2,2,3,5],[3,3,5],[4,5],[5]]=>[11,10,12,7,8,13,3,4,9,14,1,2,5,6,15]=>[14,1,13,3,2,5,12,7,4,11,10,8,9,6,15]
[[1,1,2,3,3],[2,2,3,5],[3,3,5],[4,5],[5]]=>[12,11,13,6,7,14,3,4,8,15,1,2,5,9,10]=>[15,1,14,3,2,13,6,4,5,9,12,11,7,8,10]
[[1,1,2,3,5],[2,2,3,5],[3,3,5],[4,5],[5]]=>[11,10,12,6,7,13,3,4,8,14,1,2,5,9,15]=>[14,1,13,3,2,12,6,4,5,11,10,7,8,9,15]
[[1,1,1,1,1],[2,2,2,2],[3,4,4],[4,5],[5]]=>[14,11,15,10,12,13,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,13,6,7,8,15,14,10,12,11,5]
[[1,1,1,1,2],[2,2,2,2],[3,4,4],[4,5],[5]]=>[14,11,15,10,12,13,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,13,5,6,7,4,15,14,10,12,11,9]
[[1,1,1,1,1],[2,2,2,4],[3,4,4],[4,5],[5]]=>[14,10,15,9,11,12,6,7,8,13,1,2,3,4,5]=>[13,1,2,3,4,12,6,7,15,14,9,11,8,10,5]
[[1,1,1,1,4],[2,2,2,4],[3,4,4],[4,5],[5]]=>[14,9,15,8,10,11,5,6,7,12,1,2,3,4,13]=>[12,1,2,3,11,5,6,15,14,8,10,7,4,9,13]
[[1,1,1,2,2],[2,2,2,4],[3,4,4],[4,5],[5]]=>[14,10,15,9,11,12,4,5,6,13,1,2,3,7,8]=>[13,1,2,12,4,5,3,7,15,14,9,11,6,10,8]
[[1,1,1,2,4],[2,2,2,4],[3,4,4],[4,5],[5]]=>[14,9,15,8,10,11,4,5,6,12,1,2,3,7,13]=>[12,1,2,11,4,5,3,15,14,8,10,6,7,9,13]
[[1,1,1,1,1],[2,2,2,2],[3,4,5],[4,5],[5]]=>[13,11,14,10,12,15,6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,15,6,7,8,14,13,10,11,12,5]
[[1,1,1,1,2],[2,2,2,2],[3,4,5],[4,5],[5]]=>[13,11,14,10,12,15,5,6,7,8,1,2,3,4,9]=>[8,1,2,3,15,5,6,7,4,14,13,10,11,12,9]
[[1,1,1,1,1],[2,2,2,3],[3,4,5],[4,5],[5]]=>[13,11,14,9,12,15,6,7,8,10,1,2,3,4,5]=>[10,1,2,3,4,15,6,7,14,8,13,9,11,12,5]
[[1,1,1,1,2],[2,2,2,3],[3,4,5],[4,5],[5]]=>[13,11,14,9,12,15,5,6,7,10,1,2,3,4,8]=>[10,1,2,3,15,5,6,4,14,7,13,9,11,12,8]
[[1,1,1,2,3],[2,2,2,3],[3,4,5],[4,5],[5]]=>[13,11,14,8,12,15,4,5,6,9,1,2,3,7,10]=>[9,1,2,15,4,5,3,14,6,7,13,8,11,12,10]
[[1,1,1,1,1],[2,2,2,5],[3,4,5],[4,5],[5]]=>[12,10,13,9,11,14,6,7,8,15,1,2,3,4,5]=>[15,1,2,3,4,14,6,7,13,12,9,10,11,8,5]
[[1,1,1,1,5],[2,2,2,5],[3,4,5],[4,5],[5]]=>[11,9,12,8,10,13,5,6,7,14,1,2,3,4,15]=>[14,1,2,3,13,5,6,12,11,8,9,10,7,4,15]
[[1,1,1,2,2],[2,2,2,5],[3,4,5],[4,5],[5]]=>[12,10,13,9,11,14,4,5,6,15,1,2,3,7,8]=>[15,1,2,14,4,5,3,7,13,12,9,10,11,6,8]
[[1,1,1,2,5],[2,2,2,5],[3,4,5],[4,5],[5]]=>[11,9,12,8,10,13,4,5,6,14,1,2,3,7,15]=>[14,1,2,13,4,5,3,12,11,8,9,10,6,7,15]
[[1,1,1,1,1],[2,2,3,4],[3,4,5],[4,5],[5]]=>[13,10,14,8,11,15,6,7,9,12,1,2,3,4,5]=>[12,1,2,3,4,15,6,14,7,13,8,9,10,11,5]
[[1,1,1,1,2],[2,2,3,4],[3,4,5],[4,5],[5]]=>[13,10,14,8,11,15,5,6,9,12,1,2,3,4,7]=>[12,1,2,3,15,5,4,14,6,13,8,9,10,11,7]
[[1,1,1,2,3],[2,2,3,4],[3,4,5],[4,5],[5]]=>[13,10,14,7,11,15,4,5,8,12,1,2,3,6,9]=>[12,1,2,15,4,3,14,5,6,13,7,8,10,11,9]
[[1,1,2,3,4],[2,2,3,4],[3,4,5],[4,5],[5]]=>[13,9,14,6,10,15,3,4,7,11,1,2,5,8,12]=>[11,1,15,3,2,14,4,5,13,6,7,8,9,10,12]
[[1,1,1,1,1],[2,2,4,4],[3,4,5],[4,5],[5]]=>[13,9,14,8,10,15,6,7,11,12,1,2,3,4,5]=>[12,1,2,3,4,15,6,14,13,8,7,11,9,10,5]
[[1,1,1,1,4],[2,2,4,4],[3,4,5],[4,5],[5]]=>[13,8,14,7,9,15,5,6,10,11,1,2,3,4,12]=>[11,1,2,3,15,5,14,13,7,6,10,4,8,9,12]
[[1,1,1,1,1],[2,2,4,5],[3,4,5],[4,5],[5]]=>[12,9,13,8,10,14,6,7,11,15,1,2,3,4,5]=>[15,1,2,3,4,14,6,13,12,8,7,9,10,11,5]
[[1,1,1,1,5],[2,2,4,5],[3,4,5],[4,5],[5]]=>[11,8,12,7,9,13,5,6,10,14,1,2,3,4,15]=>[14,1,2,3,13,5,12,11,7,6,8,9,10,4,15]
[[1,1,1,4,4],[2,2,4,5],[3,4,5],[4,5],[5]]=>[12,7,13,6,8,14,4,5,9,15,1,2,3,10,11]=>[15,1,2,14,4,13,12,6,5,3,10,7,8,9,11]
[[1,1,1,4,5],[2,2,4,5],[3,4,5],[4,5],[5]]=>[11,7,12,6,8,13,4,5,9,14,1,2,3,10,15]=>[14,1,2,13,4,12,11,6,5,3,7,8,9,10,15]
[[1,1,2,2,2],[2,2,4,4],[3,4,5],[4,5],[5]]=>[13,9,14,8,10,15,3,4,11,12,1,2,5,6,7]=>[12,1,15,3,2,5,6,14,13,8,4,11,9,10,7]
[[1,1,2,2,4],[2,2,4,4],[3,4,5],[4,5],[5]]=>[13,8,14,7,9,15,3,4,10,11,1,2,5,6,12]=>[11,1,15,3,2,5,14,13,7,4,10,6,8,9,12]
[[1,1,2,2,2],[2,2,4,5],[3,4,5],[4,5],[5]]=>[12,9,13,8,10,14,3,4,11,15,1,2,5,6,7]=>[15,1,14,3,2,5,6,13,12,8,4,9,10,11,7]
[[1,1,2,2,5],[2,2,4,5],[3,4,5],[4,5],[5]]=>[11,8,12,7,9,13,3,4,10,14,1,2,5,6,15]=>[14,1,13,3,2,5,12,11,7,4,8,9,10,6,15]
[[1,1,2,4,4],[2,2,4,5],[3,4,5],[4,5],[5]]=>[12,7,13,6,8,14,3,4,9,15,1,2,5,10,11]=>[15,1,14,3,2,13,12,6,4,5,10,7,8,9,11]
[[1,1,2,4,5],[2,2,4,5],[3,4,5],[4,5],[5]]=>[11,7,12,6,8,13,3,4,9,14,1,2,5,10,15]=>[14,1,13,3,2,12,11,6,4,5,7,8,9,10,15]
[[1,1,1,1,1],[2,3,3,3],[3,4,4],[4,5],[5]]=>[14,11,15,7,12,13,6,8,9,10,1,2,3,4,5]=>[10,1,2,3,4,13,15,6,8,9,14,7,12,11,5]
[[1,1,1,1,3],[2,3,3,3],[3,4,4],[4,5],[5]]=>[14,11,15,6,12,13,5,7,8,9,1,2,3,4,10]=>[9,1,2,3,13,15,5,7,8,4,14,6,12,11,10]
[[1,1,1,1,1],[2,3,3,4],[3,4,4],[4,5],[5]]=>[14,10,15,7,11,12,6,8,9,13,1,2,3,4,5]=>[13,1,2,3,4,12,15,6,8,14,7,11,9,10,5]
[[1,1,1,1,4],[2,3,3,4],[3,4,4],[4,5],[5]]=>[14,9,15,6,10,11,5,7,8,12,1,2,3,4,13]=>[12,1,2,3,11,15,5,7,14,6,10,8,4,9,13]
[[1,1,1,3,3],[2,3,3,4],[3,4,4],[4,5],[5]]=>[14,10,15,5,11,12,4,6,7,13,1,2,3,8,9]=>[13,1,2,12,15,4,6,3,8,14,5,11,7,10,9]
[[1,1,1,3,4],[2,3,3,4],[3,4,4],[4,5],[5]]=>[14,9,15,5,10,11,4,6,7,12,1,2,3,8,13]=>[12,1,2,11,15,4,6,3,14,5,10,7,8,9,13]
[[1,1,1,1,1],[2,3,3,3],[3,4,5],[4,5],[5]]=>[13,11,14,7,12,15,6,8,9,10,1,2,3,4,5]=>[10,1,2,3,4,15,14,6,8,9,13,7,11,12,5]
[[1,1,1,1,3],[2,3,3,3],[3,4,5],[4,5],[5]]=>[13,11,14,6,12,15,5,7,8,9,1,2,3,4,10]=>[9,1,2,3,15,14,5,7,8,4,13,6,11,12,10]
[[1,1,1,1,1],[2,3,3,5],[3,4,5],[4,5],[5]]=>[12,10,13,7,11,14,6,8,9,15,1,2,3,4,5]=>[15,1,2,3,4,14,13,6,8,12,7,10,11,9,5]
[[1,1,1,1,5],[2,3,3,5],[3,4,5],[4,5],[5]]=>[11,9,12,6,10,13,5,7,8,14,1,2,3,4,15]=>[14,1,2,3,13,12,5,7,11,6,9,10,8,4,15]
[[1,1,1,3,3],[2,3,3,5],[3,4,5],[4,5],[5]]=>[12,10,13,5,11,14,4,6,7,15,1,2,3,8,9]=>[15,1,2,14,13,4,6,3,8,12,5,10,11,7,9]
[[1,1,1,3,5],[2,3,3,5],[3,4,5],[4,5],[5]]=>[11,9,12,5,10,13,4,6,7,14,1,2,3,8,15]=>[14,1,2,13,12,4,6,3,11,5,9,10,7,8,15]
[[1,1,1,1,1],[2,3,4,4],[3,4,5],[4,5],[5]]=>[13,9,14,7,10,15,6,8,11,12,1,2,3,4,5]=>[12,1,2,3,4,15,14,6,13,7,8,11,9,10,5]
[[1,1,1,1,4],[2,3,4,4],[3,4,5],[4,5],[5]]=>[13,8,14,6,9,15,5,7,10,11,1,2,3,4,12]=>[11,1,2,3,15,14,5,13,6,7,10,4,8,9,12]
[[1,1,1,1,1],[2,3,4,5],[3,4,5],[4,5],[5]]=>[12,9,13,7,10,14,6,8,11,15,1,2,3,4,5]=>[15,1,2,3,4,14,13,6,12,7,8,9,10,11,5]
[[1,1,1,1,2],[2,3,4,5],[3,4,5],[4,5],[5]]=>[12,9,13,7,10,14,5,8,11,15,1,2,3,4,6]=>[15,1,2,3,14,4,13,5,12,7,8,9,10,11,6]
[[1,1,1,1,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>[11,8,12,6,9,13,5,7,10,14,1,2,3,4,15]=>[14,1,2,3,13,12,5,11,6,7,8,9,10,4,15]
[[1,1,1,2,3],[2,3,4,5],[3,4,5],[4,5],[5]]=>[12,9,13,6,10,14,4,7,11,15,1,2,3,5,8]=>[15,1,2,14,3,13,4,5,12,6,7,9,10,11,8]
[[1,1,1,4,4],[2,3,4,5],[3,4,5],[4,5],[5]]=>[12,7,13,5,8,14,4,6,9,15,1,2,3,10,11]=>[15,1,2,14,13,4,12,5,6,3,10,7,8,9,11]
[[1,1,1,4,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>[11,7,12,5,8,13,4,6,9,14,1,2,3,10,15]=>[14,1,2,13,12,4,11,5,6,3,7,8,9,10,15]
[[1,1,2,3,4],[2,3,4,5],[3,4,5],[4,5],[5]]=>[12,8,13,5,9,14,3,6,10,15,1,2,4,7,11]=>[15,1,14,2,13,3,4,12,5,6,7,8,9,10,11]
[[1,1,3,3,3],[2,3,4,4],[3,4,5],[4,5],[5]]=>[13,9,14,4,10,15,3,5,11,12,1,2,6,7,8]=>[12,1,15,14,3,2,6,7,13,4,5,11,9,10,8]
[[1,1,3,3,4],[2,3,4,4],[3,4,5],[4,5],[5]]=>[13,8,14,4,9,15,3,5,10,11,1,2,6,7,12]=>[11,1,15,14,3,2,6,13,4,5,10,7,8,9,12]
[[1,1,3,3,3],[2,3,4,5],[3,4,5],[4,5],[5]]=>[12,9,13,4,10,14,3,5,11,15,1,2,6,7,8]=>[15,1,14,13,3,2,6,7,12,4,5,9,10,11,8]
[[1,1,3,3,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>[11,8,12,4,9,13,3,5,10,14,1,2,6,7,15]=>[14,1,13,12,3,2,6,11,4,5,8,9,10,7,15]
[[1,1,3,4,4],[2,3,4,5],[3,4,5],[4,5],[5]]=>[12,7,13,4,8,14,3,5,9,15,1,2,6,10,11]=>[15,1,14,13,3,2,12,4,5,6,10,7,8,9,11]
[[1,1,3,4,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>[11,7,12,4,8,13,3,5,9,14,1,2,6,10,15]=>[14,1,13,12,3,2,11,4,5,6,7,8,9,10,15]
[[1,2,2,2,2],[2,3,3,3],[3,4,4],[4,5],[5]]=>[14,11,15,7,12,13,2,8,9,10,1,3,4,5,6]=>[10,13,1,3,4,5,15,2,8,9,14,7,12,11,6]
[[1,2,2,2,3],[2,3,3,3],[3,4,4],[4,5],[5]]=>[14,11,15,6,12,13,2,7,8,9,1,3,4,5,10]=>[9,13,1,3,4,15,2,7,8,5,14,6,12,11,10]
[[1,2,2,2,2],[2,3,3,4],[3,4,4],[4,5],[5]]=>[14,10,15,7,11,12,2,8,9,13,1,3,4,5,6]=>[13,12,1,3,4,5,15,2,8,14,7,11,9,10,6]
[[1,2,2,2,4],[2,3,3,4],[3,4,4],[4,5],[5]]=>[14,9,15,6,10,11,2,7,8,12,1,3,4,5,13]=>[12,11,1,3,4,15,2,7,14,6,10,8,5,9,13]
[[1,2,2,3,3],[2,3,3,4],[3,4,4],[4,5],[5]]=>[14,10,15,5,11,12,2,6,7,13,1,3,4,8,9]=>[13,12,1,3,15,2,6,4,8,14,5,11,7,10,9]
[[1,2,2,3,4],[2,3,3,4],[3,4,4],[4,5],[5]]=>[14,9,15,5,10,11,2,6,7,12,1,3,4,8,13]=>[12,11,1,3,15,2,6,4,14,5,10,7,8,9,13]
[[1,2,2,2,2],[2,3,3,3],[3,4,5],[4,5],[5]]=>[13,11,14,7,12,15,2,8,9,10,1,3,4,5,6]=>[10,15,1,3,4,5,14,2,8,9,13,7,11,12,6]
[[1,2,2,2,3],[2,3,3,3],[3,4,5],[4,5],[5]]=>[13,11,14,6,12,15,2,7,8,9,1,3,4,5,10]=>[9,15,1,3,4,14,2,7,8,5,13,6,11,12,10]
[[1,2,2,2,2],[2,3,3,5],[3,4,5],[4,5],[5]]=>[12,10,13,7,11,14,2,8,9,15,1,3,4,5,6]=>[15,14,1,3,4,5,13,2,8,12,7,10,11,9,6]
[[1,2,2,2,5],[2,3,3,5],[3,4,5],[4,5],[5]]=>[11,9,12,6,10,13,2,7,8,14,1,3,4,5,15]=>[14,13,1,3,4,12,2,7,11,6,9,10,8,5,15]
[[1,2,2,3,3],[2,3,3,5],[3,4,5],[4,5],[5]]=>[12,10,13,5,11,14,2,6,7,15,1,3,4,8,9]=>[15,14,1,3,13,2,6,4,8,12,5,10,11,7,9]
[[1,2,2,3,5],[2,3,3,5],[3,4,5],[4,5],[5]]=>[11,9,12,5,10,13,2,6,7,14,1,3,4,8,15]=>[14,13,1,3,12,2,6,4,11,5,9,10,7,8,15]
[[1,2,2,2,2],[2,3,4,4],[3,4,5],[4,5],[5]]=>[13,9,14,7,10,15,2,8,11,12,1,3,4,5,6]=>[12,15,1,3,4,5,14,2,13,7,8,11,9,10,6]
[[1,2,2,2,4],[2,3,4,4],[3,4,5],[4,5],[5]]=>[13,8,14,6,9,15,2,7,10,11,1,3,4,5,12]=>[11,15,1,3,4,14,2,13,6,7,10,5,8,9,12]
[[1,2,2,2,2],[2,3,4,5],[3,4,5],[4,5],[5]]=>[12,9,13,7,10,14,2,8,11,15,1,3,4,5,6]=>[15,14,1,3,4,5,13,2,12,7,8,9,10,11,6]
[[1,2,2,2,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>[11,8,12,6,9,13,2,7,10,14,1,3,4,5,15]=>[14,13,1,3,4,12,2,11,6,7,8,9,10,5,15]
[[1,2,2,4,4],[2,3,4,5],[3,4,5],[4,5],[5]]=>[12,7,13,5,8,14,2,6,9,15,1,3,4,10,11]=>[15,14,1,3,13,2,12,5,6,4,10,7,8,9,11]
[[1,2,2,4,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>[11,7,12,5,8,13,2,6,9,14,1,3,4,10,15]=>[14,13,1,3,12,2,11,5,6,4,7,8,9,10,15]
[[1,2,3,3,3],[2,3,4,4],[3,4,5],[4,5],[5]]=>[13,9,14,4,10,15,2,5,11,12,1,3,6,7,8]=>[12,15,1,14,2,3,6,7,13,4,5,11,9,10,8]
[[1,2,3,3,4],[2,3,4,4],[3,4,5],[4,5],[5]]=>[13,8,14,4,9,15,2,5,10,11,1,3,6,7,12]=>[11,15,1,14,2,3,6,13,4,5,10,7,8,9,12]
[[1,2,3,3,3],[2,3,4,5],[3,4,5],[4,5],[5]]=>[12,9,13,4,10,14,2,5,11,15,1,3,6,7,8]=>[15,14,1,13,2,3,6,7,12,4,5,9,10,11,8]
[[1,2,3,3,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>[11,8,12,4,9,13,2,5,10,14,1,3,6,7,15]=>[14,13,1,12,2,3,6,11,4,5,8,9,10,7,15]
[[1,2,3,4,4],[2,3,4,5],[3,4,5],[4,5],[5]]=>[12,7,13,4,8,14,2,5,9,15,1,3,6,10,11]=>[15,14,1,13,2,3,12,4,5,6,10,7,8,9,11]
[[1,2,3,4,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>[11,7,12,4,8,13,2,5,9,14,1,3,6,10,15]=>[14,13,1,12,2,3,11,4,5,6,7,8,9,10,15]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]]=>[21,19,20,16,17,18,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,15,7,8,9,10,18,12,13,14,20,16,17,21,19,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]]=>[21,19,20,16,17,18,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,15,6,7,8,9,5,18,12,13,14,20,16,17,21,19,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]=>[21,19,20,16,17,18,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,14,7,8,9,18,11,12,13,10,20,16,17,21,19,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]=>[21,19,20,16,17,18,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[15,1,2,3,4,14,6,7,8,5,18,11,12,13,9,20,16,17,21,19,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]=>[21,19,20,16,17,18,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[14,1,2,3,4,13,6,7,8,18,10,11,12,9,5,20,16,17,21,19,15]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]=>[21,19,20,16,17,18,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[14,1,2,3,13,5,6,7,4,18,10,11,12,8,9,20,16,17,21,19,15]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,15,16,17,12,13,14,18,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,18,7,8,9,10,17,12,13,20,15,16,14,21,19,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,15,16,17,12,13,14,18,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,18,6,7,8,9,5,17,12,13,20,15,16,14,21,19,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,15,16,17,11,12,13,18,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,18,7,8,9,17,11,12,10,20,15,16,13,21,19,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,15,16,17,11,12,13,18,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,18,6,7,8,5,17,11,12,9,20,15,16,13,21,19,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,15,16,17,10,11,12,18,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,18,6,7,8,17,10,11,9,5,20,15,16,12,21,19,14]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,15,16,17,10,11,12,18,5,6,7,8,13,1,2,3,4,9,14]=>[13,1,2,3,18,5,6,7,4,17,10,11,8,9,20,15,16,12,21,19,14]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,14,15,16,11,12,13,17,7,8,9,10,18,1,2,3,4,5,6]=>[18,1,2,3,4,5,17,7,8,9,16,11,12,20,14,15,13,10,21,19,6]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,14,15,16,11,12,13,17,6,7,8,9,18,1,2,3,4,5,10]=>[18,1,2,3,4,17,6,7,8,5,16,11,12,20,14,15,13,9,21,19,10]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,14,15,16,10,11,12,17,6,7,8,9,18,1,2,3,4,5,13]=>[18,1,2,3,4,17,6,7,8,16,10,11,5,20,14,15,12,9,21,19,13]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,13,14,15,10,11,12,16,6,7,8,9,17,1,2,3,4,5,18]=>[17,1,2,3,4,16,6,7,8,15,10,11,20,13,14,12,9,5,21,19,18]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,14,15,16,10,11,12,17,7,8,9,13,18,1,2,3,4,5,6]=>[18,1,2,3,4,5,17,7,8,16,10,11,9,20,14,15,12,13,21,19,6]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,14,15,16,10,11,12,17,6,7,8,13,18,1,2,3,4,5,9]=>[18,1,2,3,4,17,6,7,5,16,10,11,8,20,14,15,12,13,21,19,9]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,14,15,16,9,10,11,17,5,6,7,12,18,1,2,3,4,8,13]=>[18,1,2,3,17,5,6,4,16,9,10,7,8,20,14,15,11,12,21,19,13]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>[21,19,20,13,14,15,8,9,10,16,4,5,6,11,17,1,2,3,7,12,18]=>[17,1,2,16,4,5,3,15,8,9,6,7,20,13,14,10,11,12,21,19,18]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]]=>[21,18,19,16,17,20,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,15,7,8,9,10,20,12,13,14,19,16,21,18,17,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]]=>[21,18,19,16,17,20,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,15,6,7,8,9,5,20,12,13,14,19,16,21,18,17,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]=>[21,18,19,16,17,20,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,14,7,8,9,20,11,12,13,10,19,16,21,18,17,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]=>[21,18,19,16,17,20,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[15,1,2,3,4,14,6,7,8,5,20,11,12,13,9,19,16,21,18,17,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]=>[21,18,19,16,17,20,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[14,1,2,3,4,13,6,7,8,20,10,11,12,9,5,19,16,21,18,17,15]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]=>[21,18,19,16,17,20,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[14,1,2,3,13,5,6,7,4,20,10,11,12,8,9,19,16,21,18,17,15]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,15,16,20,12,13,14,17,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,17,7,8,9,10,20,12,13,19,15,14,21,18,16,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,15,16,20,12,13,14,17,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,17,6,7,8,9,5,20,12,13,19,15,14,21,18,16,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,15,16,20,11,12,13,17,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,17,7,8,9,20,11,12,10,19,15,13,21,18,16,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,15,16,20,11,12,13,17,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,17,6,7,8,5,20,11,12,9,19,15,13,21,18,16,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,15,16,20,10,11,12,17,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,17,6,7,8,20,10,11,9,5,19,15,12,21,18,16,14]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,15,16,20,10,11,12,17,5,6,7,8,13,1,2,3,4,9,14]=>[13,1,2,3,17,5,6,7,4,20,10,11,8,9,19,15,12,21,18,16,14]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,14,15,20,11,12,13,16,7,8,9,10,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,16,7,8,9,20,11,12,19,14,13,10,21,18,15,6]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,14,15,20,11,12,13,16,6,7,8,9,17,1,2,3,4,5,10]=>[17,1,2,3,4,16,6,7,8,5,20,11,12,19,14,13,9,21,18,15,10]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,14,15,20,10,11,12,16,6,7,8,9,17,1,2,3,4,5,13]=>[17,1,2,3,4,16,6,7,8,20,10,11,5,19,14,12,9,21,18,15,13]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,13,14,20,10,11,12,15,6,7,8,9,16,1,2,3,4,5,17]=>[16,1,2,3,4,15,6,7,8,20,10,11,19,13,12,9,5,21,18,14,17]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,14,15,20,10,11,12,16,7,8,9,13,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,16,7,8,20,10,11,9,19,14,12,13,21,18,15,6]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,14,15,20,10,11,12,16,6,7,8,13,17,1,2,3,4,5,9]=>[17,1,2,3,4,16,6,7,5,20,10,11,8,19,14,12,13,21,18,15,9]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,14,15,20,9,10,11,16,5,6,7,12,17,1,2,3,4,8,13]=>[17,1,2,3,16,5,6,4,20,9,10,7,8,19,14,11,12,21,18,15,13]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>[21,18,19,13,14,20,8,9,10,15,4,5,6,11,16,1,2,3,7,12,17]=>[16,1,2,15,4,5,3,20,8,9,6,7,19,13,10,11,12,21,18,14,17]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,17,18,15,16,19,12,13,14,20,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,20,7,8,9,10,19,12,13,18,15,21,17,16,14,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,17,18,15,16,19,12,13,14,20,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,20,6,7,8,9,5,19,12,13,18,15,21,17,16,14,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,17,18,15,16,19,11,12,13,20,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,20,7,8,9,19,11,12,10,18,15,21,17,16,13,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,17,18,15,16,19,11,12,13,20,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,20,6,7,8,5,19,11,12,9,18,15,21,17,16,13,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,17,18,15,16,19,10,11,12,20,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,20,6,7,8,19,10,11,9,5,18,15,21,17,16,12,14]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,17,18,14,15,19,11,12,13,20,7,8,9,10,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,20,7,8,9,19,11,12,18,14,10,21,17,15,13,6]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,17,18,14,15,19,11,12,13,20,6,7,8,9,16,1,2,3,4,5,10]=>[16,1,2,3,4,20,6,7,8,5,19,11,12,18,14,9,21,17,15,13,10]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,17,18,14,15,19,10,11,12,20,6,7,8,9,16,1,2,3,4,5,13]=>[16,1,2,3,4,20,6,7,8,19,10,11,5,18,14,9,21,17,15,12,13]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,17,18,13,14,19,10,11,12,20,6,7,8,9,15,1,2,3,4,5,16]=>[15,1,2,3,4,20,6,7,8,19,10,11,18,13,9,5,21,17,14,12,16]
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,16,17,14,15,18,11,12,13,19,7,8,9,10,20,1,2,3,4,5,6]=>[20,1,2,3,4,5,19,7,8,9,18,11,12,17,14,21,16,15,13,10,6]
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,16,17,14,15,18,11,12,13,19,6,7,8,9,20,1,2,3,4,5,10]=>[20,1,2,3,4,19,6,7,8,5,18,11,12,17,14,21,16,15,13,9,10]
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,16,17,14,15,18,10,11,12,19,6,7,8,9,20,1,2,3,4,5,13]=>[20,1,2,3,4,19,6,7,8,18,10,11,5,17,14,21,16,15,12,9,13]
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,16,17,13,14,18,10,11,12,19,6,7,8,9,20,1,2,3,4,5,15]=>[20,1,2,3,4,19,6,7,8,18,10,11,17,13,5,21,16,14,12,9,15]
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>[21,15,16,13,14,17,10,11,12,18,6,7,8,9,19,1,2,3,4,5,20]=>[19,1,2,3,4,18,6,7,8,17,10,11,16,13,21,15,14,12,9,5,20]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,17,18,14,15,19,12,13,16,20,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,20,7,8,9,10,19,12,18,14,13,21,17,15,16,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,17,18,14,15,19,12,13,16,20,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,20,6,7,8,9,5,19,12,18,14,13,21,17,15,16,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,17,18,14,15,19,11,12,16,20,7,8,9,10,13,1,2,3,4,5,6]=>[13,1,2,3,4,5,20,7,8,9,19,11,10,18,14,12,21,17,15,16,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,17,18,14,15,19,11,12,16,20,6,7,8,9,13,1,2,3,4,5,10]=>[13,1,2,3,4,20,6,7,8,5,19,11,9,18,14,12,21,17,15,16,10]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,17,18,14,15,19,10,11,16,20,5,6,7,8,12,1,2,3,4,9,13]=>[12,1,2,3,20,5,6,7,4,19,10,8,9,18,14,11,21,17,15,16,13]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,17,18,13,14,19,10,11,15,20,7,8,9,12,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,20,7,8,19,10,9,18,13,11,12,21,17,14,15,6]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,17,18,13,14,19,10,11,15,20,6,7,8,12,16,1,2,3,4,5,9]=>[16,1,2,3,4,20,6,7,5,19,10,8,18,13,11,12,21,17,14,15,9]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,17,18,13,14,19,9,10,15,20,5,6,7,11,16,1,2,3,4,8,12]=>[16,1,2,3,20,5,6,4,19,9,7,8,18,13,10,11,21,17,14,15,12]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,17,18,12,13,19,8,9,14,20,4,5,6,10,15,1,2,3,7,11,16]=>[15,1,2,20,4,5,3,19,8,6,7,18,12,9,10,11,21,17,13,14,16]
[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,16,17,12,13,18,9,10,14,19,7,8,11,15,20,1,2,3,4,5,6]=>[20,1,2,3,4,5,19,7,18,9,8,17,12,10,11,21,16,13,14,15,6]
[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,16,17,12,13,18,9,10,14,19,6,7,11,15,20,1,2,3,4,5,8]=>[20,1,2,3,4,19,6,5,18,9,7,17,12,10,11,21,16,13,14,15,8]
[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,16,17,12,13,18,8,9,14,19,5,6,10,15,20,1,2,3,4,7,11]=>[20,1,2,3,19,5,4,18,8,6,7,17,12,9,10,21,16,13,14,15,11]
[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,16,17,11,12,18,7,8,13,19,4,5,9,14,20,1,2,3,6,10,15]=>[20,1,2,19,4,3,18,7,5,6,17,11,8,9,10,21,16,12,13,14,15]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]=>[21,15,16,10,11,17,6,7,12,18,3,4,8,13,19,1,2,5,9,14,20]=>[19,1,18,3,2,17,6,4,5,16,10,7,8,9,21,15,11,12,13,14,20]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]]=>[20,19,21,16,17,18,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,15,7,8,9,10,18,12,13,14,21,16,17,20,19,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]]=>[20,19,21,16,17,18,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,15,6,7,8,9,5,18,12,13,14,21,16,17,20,19,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]=>[20,19,21,16,17,18,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,14,7,8,9,18,11,12,13,10,21,16,17,20,19,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]=>[20,19,21,16,17,18,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[15,1,2,3,4,14,6,7,8,5,18,11,12,13,9,21,16,17,20,19,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]=>[20,19,21,16,17,18,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[14,1,2,3,4,13,6,7,8,18,10,11,12,9,5,21,16,17,20,19,15]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]=>[20,19,21,16,17,18,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[14,1,2,3,13,5,6,7,4,18,10,11,12,8,9,21,16,17,20,19,15]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,15,16,17,12,13,14,18,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,18,7,8,9,10,17,12,13,21,15,16,14,20,19,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,15,16,17,12,13,14,18,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,18,6,7,8,9,5,17,12,13,21,15,16,14,20,19,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,15,16,17,11,12,13,18,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,18,7,8,9,17,11,12,10,21,15,16,13,20,19,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,15,16,17,11,12,13,18,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,18,6,7,8,5,17,11,12,9,21,15,16,13,20,19,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,15,16,17,10,11,12,18,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,18,6,7,8,17,10,11,9,5,21,15,16,12,20,19,14]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,15,16,17,10,11,12,18,5,6,7,8,13,1,2,3,4,9,14]=>[13,1,2,3,18,5,6,7,4,17,10,11,8,9,21,15,16,12,20,19,14]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,14,15,16,11,12,13,17,7,8,9,10,18,1,2,3,4,5,6]=>[18,1,2,3,4,5,17,7,8,9,16,11,12,21,14,15,13,10,20,19,6]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,14,15,16,11,12,13,17,6,7,8,9,18,1,2,3,4,5,10]=>[18,1,2,3,4,17,6,7,8,5,16,11,12,21,14,15,13,9,20,19,10]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,14,15,16,10,11,12,17,6,7,8,9,18,1,2,3,4,5,13]=>[18,1,2,3,4,17,6,7,8,16,10,11,5,21,14,15,12,9,20,19,13]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,13,14,15,10,11,12,16,6,7,8,9,17,1,2,3,4,5,18]=>[17,1,2,3,4,16,6,7,8,15,10,11,21,13,14,12,9,5,20,19,18]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,14,15,16,10,11,12,17,7,8,9,13,18,1,2,3,4,5,6]=>[18,1,2,3,4,5,17,7,8,16,10,11,9,21,14,15,12,13,20,19,6]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,14,15,16,10,11,12,17,6,7,8,13,18,1,2,3,4,5,9]=>[18,1,2,3,4,17,6,7,5,16,10,11,8,21,14,15,12,13,20,19,9]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,14,15,16,9,10,11,17,5,6,7,12,18,1,2,3,4,8,13]=>[18,1,2,3,17,5,6,4,16,9,10,7,8,21,14,15,11,12,20,19,13]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>[20,19,21,13,14,15,8,9,10,16,4,5,6,11,17,1,2,3,7,12,18]=>[17,1,2,16,4,5,3,15,8,9,6,7,21,13,14,10,11,12,20,19,18]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]]=>[20,18,21,16,17,19,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,15,7,8,9,10,19,12,13,14,21,16,20,17,18,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]]=>[20,18,21,16,17,19,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,15,6,7,8,9,5,19,12,13,14,21,16,20,17,18,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]=>[20,18,21,16,17,19,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,14,7,8,9,19,11,12,13,10,21,16,20,17,18,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]=>[20,18,21,16,17,19,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[15,1,2,3,4,14,6,7,8,5,19,11,12,13,9,21,16,20,17,18,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]=>[20,18,21,16,17,19,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[14,1,2,3,4,13,6,7,8,19,10,11,12,9,5,21,16,20,17,18,15]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]=>[20,18,21,16,17,19,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[14,1,2,3,13,5,6,7,4,19,10,11,12,8,9,21,16,20,17,18,15]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,15,16,19,12,13,14,17,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,17,7,8,9,10,19,12,13,21,15,14,20,16,18,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,15,16,19,12,13,14,17,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,17,6,7,8,9,5,19,12,13,21,15,14,20,16,18,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,15,16,19,11,12,13,17,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,17,7,8,9,19,11,12,10,21,15,13,20,16,18,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,15,16,19,11,12,13,17,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,17,6,7,8,5,19,11,12,9,21,15,13,20,16,18,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,15,16,19,10,11,12,17,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,17,6,7,8,19,10,11,9,5,21,15,12,20,16,18,14]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,15,16,19,10,11,12,17,5,6,7,8,13,1,2,3,4,9,14]=>[13,1,2,3,17,5,6,7,4,19,10,11,8,9,21,15,12,20,16,18,14]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,14,15,19,11,12,13,16,7,8,9,10,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,16,7,8,9,19,11,12,21,14,13,10,20,15,18,6]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,14,15,19,11,12,13,16,6,7,8,9,17,1,2,3,4,5,10]=>[17,1,2,3,4,16,6,7,8,5,19,11,12,21,14,13,9,20,15,18,10]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,14,15,19,10,11,12,16,6,7,8,9,17,1,2,3,4,5,13]=>[17,1,2,3,4,16,6,7,8,19,10,11,5,21,14,12,9,20,15,18,13]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,13,14,19,10,11,12,15,6,7,8,9,16,1,2,3,4,5,17]=>[16,1,2,3,4,15,6,7,8,19,10,11,21,13,12,9,5,20,14,18,17]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,14,15,19,10,11,12,16,7,8,9,13,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,16,7,8,19,10,11,9,21,14,12,13,20,15,18,6]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,14,15,19,10,11,12,16,6,7,8,13,17,1,2,3,4,5,9]=>[17,1,2,3,4,16,6,7,5,19,10,11,8,21,14,12,13,20,15,18,9]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,14,15,19,9,10,11,16,5,6,7,12,17,1,2,3,4,8,13]=>[17,1,2,3,16,5,6,4,19,9,10,7,8,21,14,11,12,20,15,18,13]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>[20,18,21,13,14,19,8,9,10,15,4,5,6,11,16,1,2,3,7,12,17]=>[16,1,2,15,4,5,3,19,8,9,6,7,21,13,10,11,12,20,14,18,17]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,17,21,15,16,18,12,13,14,19,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,19,7,8,9,10,18,12,13,21,15,20,16,14,17,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,17,21,15,16,18,12,13,14,19,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,19,6,7,8,9,5,18,12,13,21,15,20,16,14,17,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,17,21,15,16,18,11,12,13,19,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,19,7,8,9,18,11,12,10,21,15,20,16,13,17,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,17,21,15,16,18,11,12,13,19,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,19,6,7,8,5,18,11,12,9,21,15,20,16,13,17,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,17,21,15,16,18,10,11,12,19,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,19,6,7,8,18,10,11,9,5,21,15,20,16,12,17,14]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,17,21,14,15,18,11,12,13,19,7,8,9,10,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,19,7,8,9,18,11,12,21,14,10,20,15,13,17,6]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,17,21,14,15,18,11,12,13,19,6,7,8,9,16,1,2,3,4,5,10]=>[16,1,2,3,4,19,6,7,8,5,18,11,12,21,14,9,20,15,13,17,10]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,17,21,14,15,18,10,11,12,19,6,7,8,9,16,1,2,3,4,5,13]=>[16,1,2,3,4,19,6,7,8,18,10,11,5,21,14,9,20,15,12,17,13]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,17,21,13,14,18,10,11,12,19,6,7,8,9,15,1,2,3,4,5,16]=>[15,1,2,3,4,19,6,7,8,18,10,11,21,13,9,5,20,14,12,17,16]
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,16,21,14,15,17,11,12,13,18,7,8,9,10,19,1,2,3,4,5,6]=>[19,1,2,3,4,5,18,7,8,9,17,11,12,21,14,20,15,13,10,16,6]
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,16,21,14,15,17,11,12,13,18,6,7,8,9,19,1,2,3,4,5,10]=>[19,1,2,3,4,18,6,7,8,5,17,11,12,21,14,20,15,13,9,16,10]
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,16,21,14,15,17,10,11,12,18,6,7,8,9,19,1,2,3,4,5,13]=>[19,1,2,3,4,18,6,7,8,17,10,11,5,21,14,20,15,12,9,16,13]
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,16,21,13,14,17,10,11,12,18,6,7,8,9,19,1,2,3,4,5,15]=>[19,1,2,3,4,18,6,7,8,17,10,11,21,13,5,20,14,12,9,16,15]
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>[20,15,21,13,14,16,10,11,12,17,6,7,8,9,18,1,2,3,4,5,19]=>[18,1,2,3,4,17,6,7,8,16,10,11,21,13,20,14,12,9,5,15,19]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,17,21,14,15,18,12,13,16,19,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,19,7,8,9,10,18,12,21,14,13,20,15,16,17,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,17,21,14,15,18,12,13,16,19,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,19,6,7,8,9,5,18,12,21,14,13,20,15,16,17,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,17,21,14,15,18,11,12,16,19,7,8,9,10,13,1,2,3,4,5,6]=>[13,1,2,3,4,5,19,7,8,9,18,11,10,21,14,12,20,15,16,17,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,17,21,14,15,18,11,12,16,19,6,7,8,9,13,1,2,3,4,5,10]=>[13,1,2,3,4,19,6,7,8,5,18,11,9,21,14,12,20,15,16,17,10]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,17,21,14,15,18,10,11,16,19,5,6,7,8,12,1,2,3,4,9,13]=>[12,1,2,3,19,5,6,7,4,18,10,8,9,21,14,11,20,15,16,17,13]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,17,21,13,14,18,10,11,15,19,7,8,9,12,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,19,7,8,18,10,9,21,13,11,12,20,14,15,17,6]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,17,21,13,14,18,10,11,15,19,6,7,8,12,16,1,2,3,4,5,9]=>[16,1,2,3,4,19,6,7,5,18,10,8,21,13,11,12,20,14,15,17,9]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,17,21,13,14,18,9,10,15,19,5,6,7,11,16,1,2,3,4,8,12]=>[16,1,2,3,19,5,6,4,18,9,7,8,21,13,10,11,20,14,15,17,12]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,17,21,12,13,18,8,9,14,19,4,5,6,10,15,1,2,3,7,11,16]=>[15,1,2,19,4,5,3,18,8,6,7,21,12,9,10,11,20,13,14,17,16]
[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,16,21,12,13,17,9,10,14,18,7,8,11,15,19,1,2,3,4,5,6]=>[19,1,2,3,4,5,18,7,17,9,8,21,12,10,11,20,13,14,15,16,6]
[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,16,21,12,13,17,9,10,14,18,6,7,11,15,19,1,2,3,4,5,8]=>[19,1,2,3,4,18,6,5,17,9,7,21,12,10,11,20,13,14,15,16,8]
[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,16,21,12,13,17,8,9,14,18,5,6,10,15,19,1,2,3,4,7,11]=>[19,1,2,3,18,5,4,17,8,6,7,21,12,9,10,20,13,14,15,16,11]
[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,16,21,11,12,17,7,8,13,18,4,5,9,14,19,1,2,3,6,10,15]=>[19,1,2,18,4,3,17,7,5,6,21,11,8,9,10,20,12,13,14,16,15]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>[20,15,21,10,11,16,6,7,12,17,3,4,8,13,18,1,2,5,9,14,19]=>[18,1,17,3,2,16,6,4,5,21,10,7,8,9,20,11,12,13,14,15,19]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]]=>[19,18,20,16,17,21,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,15,7,8,9,10,21,12,13,14,20,16,19,18,17,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]]=>[19,18,20,16,17,21,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,15,6,7,8,9,5,21,12,13,14,20,16,19,18,17,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]=>[19,18,20,16,17,21,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,14,7,8,9,21,11,12,13,10,20,16,19,18,17,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]=>[19,18,20,16,17,21,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[15,1,2,3,4,14,6,7,8,5,21,11,12,13,9,20,16,19,18,17,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]=>[19,18,20,16,17,21,10,11,12,13,6,7,8,9,14,1,2,3,4,5,15]=>[14,1,2,3,4,13,6,7,8,21,10,11,12,9,5,20,16,19,18,17,15]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,6],[5,6],[6]]=>[19,18,20,15,16,21,12,13,14,17,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,17,7,8,9,10,21,12,13,20,15,14,19,18,16,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,6],[5,6],[6]]=>[19,18,20,15,16,21,12,13,14,17,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,17,6,7,8,9,5,21,12,13,20,15,14,19,18,16,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]=>[19,18,20,15,16,21,11,12,13,17,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,17,7,8,9,21,11,12,10,20,15,13,19,18,16,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]=>[19,18,20,15,16,21,11,12,13,17,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,17,6,7,8,5,21,11,12,9,20,15,13,19,18,16,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]=>[19,18,20,15,16,21,10,11,12,17,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,17,6,7,8,21,10,11,9,5,20,15,12,19,18,16,14]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]=>[19,18,20,14,15,21,11,12,13,16,7,8,9,10,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,16,7,8,9,21,11,12,20,14,13,10,19,18,15,6]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]=>[19,18,20,14,15,21,11,12,13,16,6,7,8,9,17,1,2,3,4,5,10]=>[17,1,2,3,4,16,6,7,8,5,21,11,12,20,14,13,9,19,18,15,10]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]=>[19,18,20,14,15,21,10,11,12,16,6,7,8,9,17,1,2,3,4,5,13]=>[17,1,2,3,4,16,6,7,8,21,10,11,5,20,14,12,9,19,18,15,13]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]=>[19,18,20,13,14,21,10,11,12,15,6,7,8,9,16,1,2,3,4,5,17]=>[16,1,2,3,4,15,6,7,8,21,10,11,20,13,12,9,5,19,18,14,17]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,17,20,15,16,21,12,13,14,18,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,18,7,8,9,10,21,12,13,20,15,19,14,17,16,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,17,20,15,16,21,12,13,14,18,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,18,6,7,8,9,5,21,12,13,20,15,19,14,17,16,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,17,20,15,16,21,11,12,13,18,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,18,7,8,9,21,11,12,10,20,15,19,13,17,16,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,17,20,15,16,21,11,12,13,18,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,18,6,7,8,5,21,11,12,9,20,15,19,13,17,16,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,17,20,15,16,21,10,11,12,18,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,18,6,7,8,21,10,11,9,5,20,15,19,12,17,16,14]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,17,20,14,15,21,11,12,13,18,7,8,9,10,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,18,7,8,9,21,11,12,20,14,10,19,13,17,15,6]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,17,20,14,15,21,11,12,13,18,6,7,8,9,16,1,2,3,4,5,10]=>[16,1,2,3,4,18,6,7,8,5,21,11,12,20,14,9,19,13,17,15,10]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,17,20,14,15,21,10,11,12,18,6,7,8,9,16,1,2,3,4,5,13]=>[16,1,2,3,4,18,6,7,8,21,10,11,5,20,14,9,19,12,17,15,13]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,17,20,13,14,21,10,11,12,18,6,7,8,9,15,1,2,3,4,5,16]=>[15,1,2,3,4,18,6,7,8,21,10,11,20,13,9,5,19,12,17,14,16]
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,16,20,14,15,21,11,12,13,17,7,8,9,10,18,1,2,3,4,5,6]=>[18,1,2,3,4,5,17,7,8,9,21,11,12,20,14,19,13,10,16,15,6]
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,16,20,14,15,21,11,12,13,17,6,7,8,9,18,1,2,3,4,5,10]=>[18,1,2,3,4,17,6,7,8,5,21,11,12,20,14,19,13,9,16,15,10]
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,16,20,14,15,21,10,11,12,17,6,7,8,9,18,1,2,3,4,5,13]=>[18,1,2,3,4,17,6,7,8,21,10,11,5,20,14,19,12,9,16,15,13]
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,16,20,13,14,21,10,11,12,17,6,7,8,9,18,1,2,3,4,5,15]=>[18,1,2,3,4,17,6,7,8,21,10,11,20,13,5,19,12,9,16,14,15]
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>[19,15,20,13,14,21,10,11,12,16,6,7,8,9,17,1,2,3,4,5,18]=>[17,1,2,3,4,16,6,7,8,21,10,11,20,13,19,12,9,5,15,14,18]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,17,19,15,16,20,12,13,14,21,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,21,7,8,9,10,20,12,13,19,15,18,17,16,14,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,17,19,15,16,20,12,13,14,21,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,21,6,7,8,9,5,20,12,13,19,15,18,17,16,14,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,17,19,15,16,20,11,12,13,21,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,21,7,8,9,20,11,12,10,19,15,18,17,16,13,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,17,19,15,16,20,11,12,13,21,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,21,6,7,8,5,20,11,12,9,19,15,18,17,16,13,10]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,17,19,15,16,20,10,11,12,21,6,7,8,9,13,1,2,3,4,5,14]=>[13,1,2,3,4,21,6,7,8,20,10,11,9,5,19,15,18,17,16,12,14]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,17,19,14,15,20,11,12,13,21,7,8,9,10,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,21,7,8,9,20,11,12,19,14,10,18,17,15,13,6]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,17,19,14,15,20,11,12,13,21,6,7,8,9,16,1,2,3,4,5,10]=>[16,1,2,3,4,21,6,7,8,5,20,11,12,19,14,9,18,17,15,13,10]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,17,19,14,15,20,10,11,12,21,6,7,8,9,16,1,2,3,4,5,13]=>[16,1,2,3,4,21,6,7,8,20,10,11,5,19,14,9,18,17,15,12,13]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,17,19,13,14,20,10,11,12,21,6,7,8,9,15,1,2,3,4,5,16]=>[15,1,2,3,4,21,6,7,8,20,10,11,19,13,9,5,18,17,14,12,16]
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,16,19,14,15,20,11,12,13,21,7,8,9,10,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,21,7,8,9,20,11,12,19,14,18,10,16,15,13,6]
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,16,19,14,15,20,11,12,13,21,6,7,8,9,17,1,2,3,4,5,10]=>[17,1,2,3,4,21,6,7,8,5,20,11,12,19,14,18,9,16,15,13,10]
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,16,19,14,15,20,10,11,12,21,6,7,8,9,17,1,2,3,4,5,13]=>[17,1,2,3,4,21,6,7,8,20,10,11,5,19,14,18,9,16,15,12,13]
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,16,19,13,14,20,10,11,12,21,6,7,8,9,17,1,2,3,4,5,15]=>[17,1,2,3,4,21,6,7,8,20,10,11,19,13,5,18,9,16,14,12,15]
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>[18,15,19,13,14,20,10,11,12,21,6,7,8,9,16,1,2,3,4,5,17]=>[16,1,2,3,4,21,6,7,8,20,10,11,19,13,18,9,5,15,14,12,17]
[[1,1,1,1,1,1],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>[17,16,18,14,15,19,11,12,13,20,7,8,9,10,21,1,2,3,4,5,6]=>[21,1,2,3,4,5,20,7,8,9,19,11,12,18,14,17,16,15,13,10,6]
[[1,1,1,1,1,2],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>[17,16,18,14,15,19,11,12,13,20,6,7,8,9,21,1,2,3,4,5,10]=>[21,1,2,3,4,20,6,7,8,5,19,11,12,18,14,17,16,15,13,9,10]
[[1,1,1,1,1,3],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>[17,16,18,14,15,19,10,11,12,20,6,7,8,9,21,1,2,3,4,5,13]=>[21,1,2,3,4,20,6,7,8,19,10,11,5,18,14,17,16,15,12,9,13]
[[1,1,1,1,1,4],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>[17,16,18,13,14,19,10,11,12,20,6,7,8,9,21,1,2,3,4,5,15]=>[21,1,2,3,4,20,6,7,8,19,10,11,18,13,5,17,16,14,12,9,15]
[[1,1,1,1,1,5],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>[17,15,18,13,14,19,10,11,12,20,6,7,8,9,21,1,2,3,4,5,16]=>[21,1,2,3,4,20,6,7,8,19,10,11,18,13,17,5,15,14,12,9,16]
[[1,1,1,1,1,6],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>[16,15,17,13,14,18,10,11,12,19,6,7,8,9,20,1,2,3,4,5,21]=>[20,1,2,3,4,19,6,7,8,18,10,11,17,13,16,15,14,12,9,5,21]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,5,6],[5,6],[6]]=>[19,17,20,16,18,21,12,13,14,15,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,15,7,8,9,10,21,12,13,14,20,19,16,17,18,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,5,6],[5,6],[6]]=>[19,17,20,16,18,21,12,13,14,15,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,15,6,7,8,9,5,21,12,13,14,20,19,16,17,18,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]=>[19,17,20,16,18,21,11,12,13,14,7,8,9,10,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,14,7,8,9,21,11,12,13,10,20,19,16,17,18,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]=>[19,17,20,16,18,21,11,12,13,14,6,7,8,9,15,1,2,3,4,5,10]=>[15,1,2,3,4,14,6,7,8,5,21,11,12,13,9,20,19,16,17,18,10]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]=>[19,17,20,16,18,21,10,11,12,13,5,6,7,8,14,1,2,3,4,9,15]=>[14,1,2,3,13,5,6,7,4,21,10,11,12,8,9,20,19,16,17,18,15]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,5,6],[5,6],[6]]=>[19,17,20,15,18,21,12,13,14,16,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,16,7,8,9,10,21,12,13,20,14,19,15,17,18,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,5,6],[5,6],[6]]=>[19,17,20,15,18,21,12,13,14,16,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,16,6,7,8,9,5,21,12,13,20,14,19,15,17,18,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]=>[19,17,20,15,18,21,11,12,13,16,7,8,9,10,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,16,7,8,9,21,11,12,10,20,13,19,15,17,18,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]=>[19,17,20,15,18,21,11,12,13,16,6,7,8,9,14,1,2,3,4,5,10]=>[14,1,2,3,4,16,6,7,8,5,21,11,12,9,20,13,19,15,17,18,10]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]=>[19,17,20,15,18,21,10,11,12,16,5,6,7,8,13,1,2,3,4,9,14]=>[13,1,2,3,16,5,6,7,4,21,10,11,8,9,20,12,19,15,17,18,14]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]=>[19,17,20,14,18,21,10,11,12,15,7,8,9,13,16,1,2,3,4,5,6]=>[16,1,2,3,4,5,15,7,8,21,10,11,9,20,12,13,19,14,17,18,6]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]=>[19,17,20,14,18,21,10,11,12,15,6,7,8,13,16,1,2,3,4,5,9]=>[16,1,2,3,4,15,6,7,5,21,10,11,8,20,12,13,19,14,17,18,9]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]=>[19,17,20,14,18,21,9,10,11,15,5,6,7,12,16,1,2,3,4,8,13]=>[16,1,2,3,15,5,6,4,21,9,10,7,8,20,11,12,19,14,17,18,13]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]=>[19,17,20,13,18,21,8,9,10,14,4,5,6,11,15,1,2,3,7,12,16]=>[15,1,2,14,4,5,3,21,8,9,6,7,20,10,11,12,19,13,17,18,16]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,16,20,14,17,21,12,13,15,18,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,18,7,8,9,10,21,12,20,13,19,14,15,16,17,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,16,20,14,17,21,12,13,15,18,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,18,6,7,8,9,5,21,12,20,13,19,14,15,16,17,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,16,20,14,17,21,11,12,15,18,7,8,9,10,13,1,2,3,4,5,6]=>[13,1,2,3,4,5,18,7,8,9,21,11,10,20,12,19,14,15,16,17,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,16,20,14,17,21,11,12,15,18,6,7,8,9,13,1,2,3,4,5,10]=>[13,1,2,3,4,18,6,7,8,5,21,11,9,20,12,19,14,15,16,17,10]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,16,20,14,17,21,10,11,15,18,5,6,7,8,12,1,2,3,4,9,13]=>[12,1,2,3,18,5,6,7,4,21,10,8,9,20,11,19,14,15,16,17,13]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,16,20,13,17,21,10,11,14,18,7,8,9,12,15,1,2,3,4,5,6]=>[15,1,2,3,4,5,18,7,8,21,10,9,20,11,12,19,13,14,16,17,6]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,16,20,13,17,21,10,11,14,18,6,7,8,12,15,1,2,3,4,5,9]=>[15,1,2,3,4,18,6,7,5,21,10,8,20,11,12,19,13,14,16,17,9]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,16,20,13,17,21,9,10,14,18,5,6,7,11,15,1,2,3,4,8,12]=>[15,1,2,3,18,5,6,4,21,9,7,8,20,10,11,19,13,14,16,17,12]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,16,20,12,17,21,8,9,13,18,4,5,6,10,14,1,2,3,7,11,15]=>[14,1,2,18,4,5,3,21,8,6,7,20,9,10,11,19,12,13,16,17,15]
[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,15,20,12,16,21,9,10,13,17,7,8,11,14,18,1,2,3,4,5,6]=>[18,1,2,3,4,5,17,7,21,9,8,20,10,11,19,12,13,14,15,16,6]
[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,15,20,12,16,21,9,10,13,17,6,7,11,14,18,1,2,3,4,5,8]=>[18,1,2,3,4,17,6,5,21,9,7,20,10,11,19,12,13,14,15,16,8]
[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,15,20,12,16,21,8,9,13,17,5,6,10,14,18,1,2,3,4,7,11]=>[18,1,2,3,17,5,4,21,8,6,7,20,9,10,19,12,13,14,15,16,11]
[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,15,20,11,16,21,7,8,12,17,4,5,9,13,18,1,2,3,6,10,14]=>[18,1,2,17,4,3,21,7,5,6,20,8,9,10,19,11,12,13,15,16,14]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]=>[19,14,20,10,15,21,6,7,11,16,3,4,8,12,17,1,2,5,9,13,18]=>[17,1,16,3,2,21,6,4,5,20,7,8,9,19,10,11,12,13,14,15,18]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,15,19,13,16,20,12,14,17,21,7,8,9,10,11,1,2,3,4,5,6]=>[11,1,2,3,4,5,21,7,8,9,10,20,19,12,18,13,14,15,16,17,6]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,15,19,13,16,20,12,14,17,21,6,7,8,9,10,1,2,3,4,5,11]=>[10,1,2,3,4,21,6,7,8,9,5,20,19,12,18,13,14,15,16,17,11]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,15,19,13,16,20,11,14,17,21,7,8,9,10,12,1,2,3,4,5,6]=>[12,1,2,3,4,5,21,7,8,9,20,10,19,11,18,13,14,15,16,17,6]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,15,19,13,16,20,11,14,17,21,6,7,8,9,12,1,2,3,4,5,10]=>[12,1,2,3,4,21,6,7,8,5,20,9,19,11,18,13,14,15,16,17,10]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,15,19,13,16,20,10,14,17,21,5,6,7,8,11,1,2,3,4,9,12]=>[11,1,2,3,21,5,6,7,4,20,8,9,19,10,18,13,14,15,16,17,12]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,15,19,12,16,20,10,13,17,21,7,8,9,11,14,1,2,3,4,5,6]=>[14,1,2,3,4,5,21,7,8,20,9,19,10,11,18,12,13,15,16,17,6]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,15,19,12,16,20,10,13,17,21,6,7,8,11,14,1,2,3,4,5,9]=>[14,1,2,3,4,21,6,7,5,20,8,19,10,11,18,12,13,15,16,17,9]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,15,19,12,16,20,9,13,17,21,5,6,7,10,14,1,2,3,4,8,11]=>[14,1,2,3,21,5,6,4,20,7,8,19,9,10,18,12,13,15,16,17,11]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,15,19,11,16,20,8,12,17,21,4,5,6,9,13,1,2,3,7,10,14]=>[13,1,2,21,4,5,3,20,6,7,19,8,9,10,18,11,12,15,16,17,14]
[[1,1,1,1,1,1],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,14,19,11,15,20,9,12,16,21,7,8,10,13,17,1,2,3,4,5,6]=>[17,1,2,3,4,5,21,7,20,8,19,9,10,18,11,12,13,14,15,16,6]
[[1,1,1,1,1,2],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,14,19,11,15,20,9,12,16,21,6,7,10,13,17,1,2,3,4,5,8]=>[17,1,2,3,4,21,6,5,20,7,19,9,10,18,11,12,13,14,15,16,8]
[[1,1,1,1,2,3],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,14,19,11,15,20,8,12,16,21,5,6,9,13,17,1,2,3,4,7,10]=>[17,1,2,3,21,5,4,20,6,7,19,8,9,18,11,12,13,14,15,16,10]
[[1,1,1,2,3,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,14,19,10,15,20,7,11,16,21,4,5,8,12,17,1,2,3,6,9,13]=>[17,1,2,21,4,3,20,5,6,19,7,8,9,18,10,11,12,14,15,16,13]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]=>[18,13,19,9,14,20,6,10,15,21,3,4,7,11,16,1,2,5,8,12,17]=>[16,1,21,3,2,20,4,5,19,6,7,8,18,9,10,11,12,13,14,15,17]
[[1,1,1,1,1,1],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]=>[17,13,18,10,14,19,8,11,15,20,7,9,12,16,21,1,2,3,4,5,6]=>[21,1,2,3,4,5,20,19,7,18,8,9,17,10,11,12,13,14,15,16,6]
[[1,1,1,1,1,2],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]=>[17,13,18,10,14,19,8,11,15,20,6,9,12,16,21,1,2,3,4,5,7]=>[21,1,2,3,4,20,5,19,6,18,8,9,17,10,11,12,13,14,15,16,7]
[[1,1,1,1,2,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]=>[17,13,18,10,14,19,7,11,15,20,5,8,12,16,21,1,2,3,4,6,9]=>[21,1,2,3,20,4,19,5,6,18,7,8,17,10,11,12,13,14,15,16,9]
[[1,1,1,2,3,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]=>[17,13,18,9,14,19,6,10,15,20,4,7,11,16,21,1,2,3,5,8,12]=>[21,1,2,20,3,19,4,5,18,6,7,8,17,9,10,11,13,14,15,16,12]
[[1,1,2,3,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]=>[17,12,18,8,13,19,5,9,14,20,3,6,10,15,21,1,2,4,7,11,16]=>[21,1,20,2,19,3,4,18,5,6,7,17,8,9,10,11,12,13,14,15,16]
[[1,2,3,4,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]=>[16,11,17,7,12,18,4,8,13,19,2,5,9,14,20,1,3,6,10,15,21]=>[20,19,1,18,2,3,17,4,5,6,16,7,8,9,10,11,12,13,14,15,21]
[[2]]=>[1]=>[1]
[[1,1]]=>[1,2]=>[1,2]
[[3]]=>[1]=>[1]
[[1,1,1]]=>[1,2,3]=>[1,2,3]
[[4]]=>[1]=>[1]
[[1,1,1,1]]=>[1,2,3,4]=>[1,2,3,4]
[[5]]=>[1]=>[1]
[[1,1,1,1,1]]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[6]]=>[1]=>[1]
[[1,1,1,1,1,1]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]
[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]
[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]
[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]
[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3]
[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]
[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]
[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[5,1,6,2,3,4]
[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]
[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]
[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[3,1,5,2,6,4]
[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]
[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]
[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[6,1,4,3,2,5]
[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[3,1,4,6,2,5]
[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]
[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]
[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[3,1,4,5,2,6]
[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2]
[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]
[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]
[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[5,6,1,3,2,4]
[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]
[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]
[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[4,6,1,2,3,5]
[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]
[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[4,5,1,2,3,6]
[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[4,5,1,2,6,3]
[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[2,5,1,3,6,4]
[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[6,4,1,2,3,5]
[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[2,4,1,6,3,5]
[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]
[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[2,4,1,5,3,6]
[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[2,4,1,5,6,3]
[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]
[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]
[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]
[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]
[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>[4,1,5,3,6,2]
[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[6,3,2,1,4,5]
[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[5,3,2,1,4,6]
[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[5,6,3,1,2,4]
[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[5,3,6,1,2,4]
[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[2,3,6,1,4,5]
[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[2,3,5,1,4,6]
[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[2,3,5,1,6,4]
[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]
[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[5,1,4,6,3,2]
[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]
[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[5,6,1,4,2,3]
[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[5,4,1,6,2,3]
[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[5,1,6,4,3,2]
[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[6,3,4,2,1,5]
[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[2,3,4,6,1,5]
[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[6,1,4,5,3,2]
[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[4,6,1,2,5,3]
[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[6,4,1,5,2,3]
[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]
[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[6,3,5,1,2,4]
[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[1,1,1,1,2,2,2],[3,3],[4]]=>[10,8,9,1,2,3,4,5,6,7]=>[9,1,2,3,4,5,6,10,8,7]
[[1,1,1,2,2,2,2],[3,3],[4]]=>[10,8,9,1,2,3,4,5,6,7]=>[9,1,2,3,4,5,6,10,8,7]
[[1,1,1,1,2,2,3],[3,3],[4]]=>[10,7,8,1,2,3,4,5,6,9]=>[8,1,2,3,4,5,10,7,6,9]
[[1,1,1,2,2,2,3],[3,3],[4]]=>[10,7,8,1,2,3,4,5,6,9]=>[8,1,2,3,4,5,10,7,6,9]
[[1,1,1,2,2,3,3],[3,3],[4]]=>[10,6,7,1,2,3,4,5,8,9]=>[7,1,2,3,4,10,6,5,8,9]
[[1,1,2,2,2,2,3],[3,3],[4]]=>[10,7,8,1,2,3,4,5,6,9]=>[8,1,2,3,4,5,10,7,6,9]
[[1,1,2,2,2,3,3],[3,3],[4]]=>[10,6,7,1,2,3,4,5,8,9]=>[7,1,2,3,4,10,6,5,8,9]
[[1,1,1,1,2,2,2],[3,4],[4]]=>[9,8,10,1,2,3,4,5,6,7]=>[10,1,2,3,4,5,6,9,8,7]
[[1,1,1,2,2,2,2],[3,4],[4]]=>[9,8,10,1,2,3,4,5,6,7]=>[10,1,2,3,4,5,6,9,8,7]
[[1,1,1,1,2,2,3],[3,4],[4]]=>[9,7,10,1,2,3,4,5,6,8]=>[10,1,2,3,4,5,9,6,7,8]
[[1,1,1,2,2,2,3],[3,4],[4]]=>[9,7,10,1,2,3,4,5,6,8]=>[10,1,2,3,4,5,9,6,7,8]
[[1,1,1,2,2,3],[3,3,4],[4]]=>[9,6,7,10,1,2,3,4,5,8]=>[10,1,2,3,4,9,6,5,7,8]
[[1,1,2,2,2,2,3],[3,4],[4]]=>[9,7,10,1,2,3,4,5,6,8]=>[10,1,2,3,4,5,9,6,7,8]
[[1,1,2,2,2,3],[3,3,4],[4]]=>[9,6,7,10,1,2,3,4,5,8]=>[10,1,2,3,4,9,6,5,7,8]
[[1,1,1,1,2,2,4],[3,4],[4]]=>[8,7,9,1,2,3,4,5,6,10]=>[9,1,2,3,4,5,8,7,6,10]
[[1,1,1,2,2,2,4],[3,4],[4]]=>[8,7,9,1,2,3,4,5,6,10]=>[9,1,2,3,4,5,8,7,6,10]
[[1,1,1,2,2,4,4],[3,3],[4]]=>[8,6,7,1,2,3,4,5,9,10]=>[7,1,2,3,4,8,6,5,9,10]
[[1,1,1,2,2,4,4],[3,4],[4]]=>[7,6,8,1,2,3,4,5,9,10]=>[8,1,2,3,4,7,6,5,9,10]
[[1,1,2,2,2,2,4],[3,4],[4]]=>[8,7,9,1,2,3,4,5,6,10]=>[9,1,2,3,4,5,8,7,6,10]
[[1,1,2,2,2,4,4],[3,3],[4]]=>[8,6,7,1,2,3,4,5,9,10]=>[7,1,2,3,4,8,6,5,9,10]
[[1,1,2,2,2,4,4],[3,4],[4]]=>[7,6,8,1,2,3,4,5,9,10]=>[8,1,2,3,4,7,6,5,9,10]
[[1,1,1,1,2,3,3],[3,4],[4]]=>[9,6,10,1,2,3,4,5,7,8]=>[10,1,2,3,4,9,5,7,6,8]
[[1,1,1,2,2,3,3],[3,4],[4]]=>[9,6,10,1,2,3,4,5,7,8]=>[10,1,2,3,4,9,5,7,6,8]
[[1,1,1,2,3,3,3],[3,4],[4]]=>[9,5,10,1,2,3,4,6,7,8]=>[10,1,2,3,9,4,6,7,5,8]
[[1,1,2,2,2,3,3],[3,4],[4]]=>[9,6,10,1,2,3,4,5,7,8]=>[10,1,2,3,4,9,5,7,6,8]
[[1,1,2,2,3,3,3],[3,4],[4]]=>[9,5,10,1,2,3,4,6,7,8]=>[10,1,2,3,9,4,6,7,5,8]
[[1,1,1,1,2,3,4],[3,4],[4]]=>[8,6,9,1,2,3,4,5,7,10]=>[9,1,2,3,4,8,5,6,7,10]
[[1,1,1,2,2,3,4],[3,4],[4]]=>[8,6,9,1,2,3,4,5,7,10]=>[9,1,2,3,4,8,5,6,7,10]
[[1,1,1,2,3,3,4],[3,4],[4]]=>[8,5,9,1,2,3,4,6,7,10]=>[9,1,2,3,8,4,6,5,7,10]
[[1,1,1,2,3,4,4],[3,4],[4]]=>[7,5,8,1,2,3,4,6,9,10]=>[8,1,2,3,7,4,5,6,9,10]
[[1,1,2,2,2,3,4],[3,4],[4]]=>[8,6,9,1,2,3,4,5,7,10]=>[9,1,2,3,4,8,5,6,7,10]
[[1,1,2,2,3,3,4],[3,4],[4]]=>[8,5,9,1,2,3,4,6,7,10]=>[9,1,2,3,8,4,6,5,7,10]
[[1,1,2,2,3,4,4],[3,4],[4]]=>[7,5,8,1,2,3,4,6,9,10]=>[8,1,2,3,7,4,5,6,9,10]
[[1,1,2,3,3,3,4],[3,4],[4]]=>[8,4,9,1,2,3,5,6,7,10]=>[9,1,2,8,3,5,6,4,7,10]
[[1,1,2,3,3,4,4],[3,4],[4]]=>[7,4,8,1,2,3,5,6,9,10]=>[8,1,2,7,3,5,4,6,9,10]
[[1,2,2,2,2,3,3],[3,4],[4]]=>[9,6,10,1,2,3,4,5,7,8]=>[10,1,2,3,4,9,5,7,6,8]
[[1,2,2,2,3,3,3],[3,4],[4]]=>[9,5,10,1,2,3,4,6,7,8]=>[10,1,2,3,9,4,6,7,5,8]
[[1,2,2,2,2,3,4],[3,4],[4]]=>[8,6,9,1,2,3,4,5,7,10]=>[9,1,2,3,4,8,5,6,7,10]
[[1,2,2,2,3,3,4],[3,4],[4]]=>[8,5,9,1,2,3,4,6,7,10]=>[9,1,2,3,8,4,6,5,7,10]
[[1,2,2,2,3,4,4],[3,4],[4]]=>[7,5,8,1,2,3,4,6,9,10]=>[8,1,2,3,7,4,5,6,9,10]
[[1,2,2,3,3,3,4],[3,4],[4]]=>[8,4,9,1,2,3,5,6,7,10]=>[9,1,2,8,3,5,6,4,7,10]
[[1,2,2,3,3,4,4],[3,4],[4]]=>[7,4,8,1,2,3,5,6,9,10]=>[8,1,2,7,3,5,4,6,9,10]
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottommost row (in English notation).
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
searching the database
Sorry, this map was not found in the database.