Identifier
Mp00075:
Semistandard tableaux
—reading word permutation⟶
Permutations
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00086: Permutations —first fundamental transformation⟶ 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]=>[2,3,1]
[[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]=>[2,3,1]
[[1,2],[3]]=>[3,1,2]=>[2,3,1]
[[1,3],[2]]=>[2,1,3]=>[2,1,3]
[[1,3],[3]]=>[2,1,3]=>[2,1,3]
[[2,2],[3]]=>[3,1,2]=>[2,3,1]
[[2,3],[3]]=>[2,1,3]=>[2,1,3]
[[1],[2],[3]]=>[3,2,1]=>[3,1,2]
[[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]=>[2,3,4,1]
[[1,1,2],[2]]=>[3,1,2,4]=>[2,3,1,4]
[[1,2,2],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,1],[2,2]]=>[3,4,1,2]=>[2,4,3,1]
[[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]=>[2,3,1]
[[1,2],[4]]=>[3,1,2]=>[2,3,1]
[[1,4],[2]]=>[2,1,3]=>[2,1,3]
[[1,3],[4]]=>[3,1,2]=>[2,3,1]
[[1,4],[3]]=>[2,1,3]=>[2,1,3]
[[1,4],[4]]=>[2,1,3]=>[2,1,3]
[[2,2],[4]]=>[3,1,2]=>[2,3,1]
[[2,3],[4]]=>[3,1,2]=>[2,3,1]
[[2,4],[3]]=>[2,1,3]=>[2,1,3]
[[2,4],[4]]=>[2,1,3]=>[2,1,3]
[[3,3],[4]]=>[3,1,2]=>[2,3,1]
[[3,4],[4]]=>[2,1,3]=>[2,1,3]
[[1],[2],[4]]=>[3,2,1]=>[3,1,2]
[[1],[3],[4]]=>[3,2,1]=>[3,1,2]
[[2],[3],[4]]=>[3,2,1]=>[3,1,2]
[[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]=>[2,3,4,1]
[[1,1,2],[3]]=>[4,1,2,3]=>[2,3,4,1]
[[1,1,3],[2]]=>[3,1,2,4]=>[2,3,1,4]
[[1,1,3],[3]]=>[3,1,2,4]=>[2,3,1,4]
[[1,2,2],[3]]=>[4,1,2,3]=>[2,3,4,1]
[[1,2,3],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,3],[3]]=>[3,1,2,4]=>[2,3,1,4]
[[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]=>[2,3,4,1]
[[2,2,3],[3]]=>[3,1,2,4]=>[2,3,1,4]
[[2,3,3],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,1],[2,3]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[3,3]]=>[3,4,1,2]=>[2,4,3,1]
[[1,2],[2,3]]=>[2,4,1,3]=>[3,2,4,1]
[[1,2],[3,3]]=>[3,4,1,2]=>[2,4,3,1]
[[2,2],[3,3]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[2],[3]]=>[4,3,1,2]=>[2,4,1,3]
[[1,2],[2],[3]]=>[4,2,1,3]=>[3,1,4,2]
[[1,3],[2],[3]]=>[3,2,1,4]=>[3,1,2,4]
[[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]=>[2,3,4,5,1]
[[1,1,1,2],[2]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,2,2],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,5,4,1]
[[1,1,2],[2,2]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[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]=>[2,3,1]
[[1,2],[5]]=>[3,1,2]=>[2,3,1]
[[1,5],[2]]=>[2,1,3]=>[2,1,3]
[[1,3],[5]]=>[3,1,2]=>[2,3,1]
[[1,5],[3]]=>[2,1,3]=>[2,1,3]
[[1,4],[5]]=>[3,1,2]=>[2,3,1]
[[1,5],[4]]=>[2,1,3]=>[2,1,3]
[[1,5],[5]]=>[2,1,3]=>[2,1,3]
[[2,2],[5]]=>[3,1,2]=>[2,3,1]
[[2,3],[5]]=>[3,1,2]=>[2,3,1]
[[2,5],[3]]=>[2,1,3]=>[2,1,3]
[[2,4],[5]]=>[3,1,2]=>[2,3,1]
[[2,5],[4]]=>[2,1,3]=>[2,1,3]
[[2,5],[5]]=>[2,1,3]=>[2,1,3]
[[3,3],[5]]=>[3,1,2]=>[2,3,1]
[[3,4],[5]]=>[3,1,2]=>[2,3,1]
[[3,5],[4]]=>[2,1,3]=>[2,1,3]
[[3,5],[5]]=>[2,1,3]=>[2,1,3]
[[4,4],[5]]=>[3,1,2]=>[2,3,1]
[[4,5],[5]]=>[2,1,3]=>[2,1,3]
[[1],[2],[5]]=>[3,2,1]=>[3,1,2]
[[1],[3],[5]]=>[3,2,1]=>[3,1,2]
[[1],[4],[5]]=>[3,2,1]=>[3,1,2]
[[2],[3],[5]]=>[3,2,1]=>[3,1,2]
[[2],[4],[5]]=>[3,2,1]=>[3,1,2]
[[3],[4],[5]]=>[3,2,1]=>[3,1,2]
[[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]=>[2,3,4,1]
[[1,1,2],[4]]=>[4,1,2,3]=>[2,3,4,1]
[[1,1,4],[2]]=>[3,1,2,4]=>[2,3,1,4]
[[1,1,3],[4]]=>[4,1,2,3]=>[2,3,4,1]
[[1,1,4],[3]]=>[3,1,2,4]=>[2,3,1,4]
[[1,1,4],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[1,2,2],[4]]=>[4,1,2,3]=>[2,3,4,1]
[[1,2,4],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,3],[4]]=>[4,1,2,3]=>[2,3,4,1]
[[1,2,4],[3]]=>[3,1,2,4]=>[2,3,1,4]
[[1,3,4],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,4],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[1,4,4],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,3],[4]]=>[4,1,2,3]=>[2,3,4,1]
[[1,3,4],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,4],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[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]=>[2,3,4,1]
[[2,2,3],[4]]=>[4,1,2,3]=>[2,3,4,1]
[[2,2,4],[3]]=>[3,1,2,4]=>[2,3,1,4]
[[2,2,4],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[2,3,3],[4]]=>[4,1,2,3]=>[2,3,4,1]
[[2,3,4],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,3,4],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[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]=>[2,3,4,1]
[[3,3,4],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[3,4,4],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[1,1],[2,4]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[3,4]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[4,4]]=>[3,4,1,2]=>[2,4,3,1]
[[1,2],[2,4]]=>[2,4,1,3]=>[3,2,4,1]
[[1,2],[3,4]]=>[3,4,1,2]=>[2,4,3,1]
[[1,3],[2,4]]=>[2,4,1,3]=>[3,2,4,1]
[[1,2],[4,4]]=>[3,4,1,2]=>[2,4,3,1]
[[1,3],[3,4]]=>[2,4,1,3]=>[3,2,4,1]
[[1,3],[4,4]]=>[3,4,1,2]=>[2,4,3,1]
[[2,2],[3,4]]=>[3,4,1,2]=>[2,4,3,1]
[[2,2],[4,4]]=>[3,4,1,2]=>[2,4,3,1]
[[2,3],[3,4]]=>[2,4,1,3]=>[3,2,4,1]
[[2,3],[4,4]]=>[3,4,1,2]=>[2,4,3,1]
[[3,3],[4,4]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[2],[4]]=>[4,3,1,2]=>[2,4,1,3]
[[1,1],[3],[4]]=>[4,3,1,2]=>[2,4,1,3]
[[1,2],[2],[4]]=>[4,2,1,3]=>[3,1,4,2]
[[1,2],[3],[4]]=>[4,3,1,2]=>[2,4,1,3]
[[1,3],[2],[4]]=>[4,2,1,3]=>[3,1,4,2]
[[1,4],[2],[3]]=>[3,2,1,4]=>[3,1,2,4]
[[1,4],[2],[4]]=>[3,2,1,4]=>[3,1,2,4]
[[1,3],[3],[4]]=>[4,2,1,3]=>[3,1,4,2]
[[1,4],[3],[4]]=>[3,2,1,4]=>[3,1,2,4]
[[2,2],[3],[4]]=>[4,3,1,2]=>[2,4,1,3]
[[2,3],[3],[4]]=>[4,2,1,3]=>[3,1,4,2]
[[2,4],[3],[4]]=>[3,2,1,4]=>[3,1,2,4]
[[1],[2],[3],[4]]=>[4,3,2,1]=>[4,1,2,3]
[[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]=>[2,3,4,5,1]
[[1,1,1,2],[3]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,1,3],[2]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,1,3],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,2,2],[3]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,2,3],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,2,3],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,3,3],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,3,3],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,2,2,2],[3]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[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]=>[2,3,4,1,5]
[[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]=>[2,3,1,4,5]
[[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]=>[2,3,4,5,1]
[[2,2,2,3],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[2,2,3,3],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,5,4,1]
[[1,1,1],[3,3]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,2],[2,3]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,1,3],[2,2]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,2],[3,3]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,3],[2,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,3],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,2,2],[2,3]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,2,2],[3,3]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,2,3],[2,3]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,2,3],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,2,2],[3,3]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,2,3],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,1],[2],[3]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,1,2],[2],[3]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,1,3],[2],[3]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,2,2],[2],[3]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,2,3],[2],[3]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,3,3],[2],[3]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,1],[2,2],[3]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,1],[2,3],[3]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,2],[2,3],[3]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[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]=>[2,3,4,5,6,1]
[[1,1,1,1,2],[2]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,1,2,2],[2]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,2,2,2],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[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]=>[2,3,4,6,5,1]
[[1,1,1,2],[2,2]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,2,2],[2,2]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,1],[2,2,2]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[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]=>[2,3,1]
[[1,2],[6]]=>[3,1,2]=>[2,3,1]
[[1,6],[2]]=>[2,1,3]=>[2,1,3]
[[1,3],[6]]=>[3,1,2]=>[2,3,1]
[[1,6],[3]]=>[2,1,3]=>[2,1,3]
[[1,4],[6]]=>[3,1,2]=>[2,3,1]
[[1,6],[4]]=>[2,1,3]=>[2,1,3]
[[1,5],[6]]=>[3,1,2]=>[2,3,1]
[[1,6],[5]]=>[2,1,3]=>[2,1,3]
[[1,6],[6]]=>[2,1,3]=>[2,1,3]
[[2,2],[6]]=>[3,1,2]=>[2,3,1]
[[2,3],[6]]=>[3,1,2]=>[2,3,1]
[[2,6],[3]]=>[2,1,3]=>[2,1,3]
[[2,4],[6]]=>[3,1,2]=>[2,3,1]
[[2,6],[4]]=>[2,1,3]=>[2,1,3]
[[2,5],[6]]=>[3,1,2]=>[2,3,1]
[[2,6],[5]]=>[2,1,3]=>[2,1,3]
[[2,6],[6]]=>[2,1,3]=>[2,1,3]
[[3,3],[6]]=>[3,1,2]=>[2,3,1]
[[3,4],[6]]=>[3,1,2]=>[2,3,1]
[[3,6],[4]]=>[2,1,3]=>[2,1,3]
[[3,5],[6]]=>[3,1,2]=>[2,3,1]
[[3,6],[5]]=>[2,1,3]=>[2,1,3]
[[3,6],[6]]=>[2,1,3]=>[2,1,3]
[[4,4],[6]]=>[3,1,2]=>[2,3,1]
[[4,5],[6]]=>[3,1,2]=>[2,3,1]
[[4,6],[5]]=>[2,1,3]=>[2,1,3]
[[4,6],[6]]=>[2,1,3]=>[2,1,3]
[[5,5],[6]]=>[3,1,2]=>[2,3,1]
[[5,6],[6]]=>[2,1,3]=>[2,1,3]
[[1],[2],[6]]=>[3,2,1]=>[3,1,2]
[[1],[3],[6]]=>[3,2,1]=>[3,1,2]
[[1],[4],[6]]=>[3,2,1]=>[3,1,2]
[[1],[5],[6]]=>[3,2,1]=>[3,1,2]
[[2],[3],[6]]=>[3,2,1]=>[3,1,2]
[[2],[4],[6]]=>[3,2,1]=>[3,1,2]
[[2],[5],[6]]=>[3,2,1]=>[3,1,2]
[[3],[4],[6]]=>[3,2,1]=>[3,1,2]
[[3],[5],[6]]=>[3,2,1]=>[3,1,2]
[[4],[5],[6]]=>[3,2,1]=>[3,1,2]
[[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]=>[2,3,4,1]
[[1,1,2],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[1,1,5],[2]]=>[3,1,2,4]=>[2,3,1,4]
[[1,1,3],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[1,1,5],[3]]=>[3,1,2,4]=>[2,3,1,4]
[[1,1,4],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[1,1,5],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[1,1,5],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[1,2,2],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[1,2,5],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,3],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[1,2,5],[3]]=>[3,1,2,4]=>[2,3,1,4]
[[1,3,5],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,4],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[1,2,5],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[1,4,5],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,5],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[1,5,5],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,3],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[1,3,5],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,4],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[1,3,5],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[1,4,5],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,5],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[1,5,5],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,4,4],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[1,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[1,4,5],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[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]=>[2,3,4,1]
[[2,2,3],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[2,2,5],[3]]=>[3,1,2,4]=>[2,3,1,4]
[[2,2,4],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[2,2,5],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[2,2,5],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[2,3,3],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[2,3,5],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,3,4],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[2,3,5],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[2,4,5],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,3,5],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[2,5,5],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,4,4],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[2,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[2,4,5],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[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]=>[2,3,4,1]
[[3,3,4],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[3,3,5],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[3,3,5],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[3,4,4],[5]]=>[4,1,2,3]=>[2,3,4,1]
[[3,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[3,4,5],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[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]=>[2,3,4,1]
[[4,4,5],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[4,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[1,1],[2,5]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[3,5]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[4,5]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[5,5]]=>[3,4,1,2]=>[2,4,3,1]
[[1,2],[2,5]]=>[2,4,1,3]=>[3,2,4,1]
[[1,2],[3,5]]=>[3,4,1,2]=>[2,4,3,1]
[[1,3],[2,5]]=>[2,4,1,3]=>[3,2,4,1]
[[1,2],[4,5]]=>[3,4,1,2]=>[2,4,3,1]
[[1,4],[2,5]]=>[2,4,1,3]=>[3,2,4,1]
[[1,2],[5,5]]=>[3,4,1,2]=>[2,4,3,1]
[[1,3],[3,5]]=>[2,4,1,3]=>[3,2,4,1]
[[1,3],[4,5]]=>[3,4,1,2]=>[2,4,3,1]
[[1,4],[3,5]]=>[2,4,1,3]=>[3,2,4,1]
[[1,3],[5,5]]=>[3,4,1,2]=>[2,4,3,1]
[[1,4],[4,5]]=>[2,4,1,3]=>[3,2,4,1]
[[1,4],[5,5]]=>[3,4,1,2]=>[2,4,3,1]
[[2,2],[3,5]]=>[3,4,1,2]=>[2,4,3,1]
[[2,2],[4,5]]=>[3,4,1,2]=>[2,4,3,1]
[[2,2],[5,5]]=>[3,4,1,2]=>[2,4,3,1]
[[2,3],[3,5]]=>[2,4,1,3]=>[3,2,4,1]
[[2,3],[4,5]]=>[3,4,1,2]=>[2,4,3,1]
[[2,4],[3,5]]=>[2,4,1,3]=>[3,2,4,1]
[[2,3],[5,5]]=>[3,4,1,2]=>[2,4,3,1]
[[2,4],[4,5]]=>[2,4,1,3]=>[3,2,4,1]
[[2,4],[5,5]]=>[3,4,1,2]=>[2,4,3,1]
[[3,3],[4,5]]=>[3,4,1,2]=>[2,4,3,1]
[[3,3],[5,5]]=>[3,4,1,2]=>[2,4,3,1]
[[3,4],[4,5]]=>[2,4,1,3]=>[3,2,4,1]
[[3,4],[5,5]]=>[3,4,1,2]=>[2,4,3,1]
[[4,4],[5,5]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[2],[5]]=>[4,3,1,2]=>[2,4,1,3]
[[1,1],[3],[5]]=>[4,3,1,2]=>[2,4,1,3]
[[1,1],[4],[5]]=>[4,3,1,2]=>[2,4,1,3]
[[1,2],[2],[5]]=>[4,2,1,3]=>[3,1,4,2]
[[1,2],[3],[5]]=>[4,3,1,2]=>[2,4,1,3]
[[1,3],[2],[5]]=>[4,2,1,3]=>[3,1,4,2]
[[1,5],[2],[3]]=>[3,2,1,4]=>[3,1,2,4]
[[1,2],[4],[5]]=>[4,3,1,2]=>[2,4,1,3]
[[1,4],[2],[5]]=>[4,2,1,3]=>[3,1,4,2]
[[1,5],[2],[4]]=>[3,2,1,4]=>[3,1,2,4]
[[1,5],[2],[5]]=>[3,2,1,4]=>[3,1,2,4]
[[1,3],[3],[5]]=>[4,2,1,3]=>[3,1,4,2]
[[1,3],[4],[5]]=>[4,3,1,2]=>[2,4,1,3]
[[1,4],[3],[5]]=>[4,2,1,3]=>[3,1,4,2]
[[1,5],[3],[4]]=>[3,2,1,4]=>[3,1,2,4]
[[1,5],[3],[5]]=>[3,2,1,4]=>[3,1,2,4]
[[1,4],[4],[5]]=>[4,2,1,3]=>[3,1,4,2]
[[1,5],[4],[5]]=>[3,2,1,4]=>[3,1,2,4]
[[2,2],[3],[5]]=>[4,3,1,2]=>[2,4,1,3]
[[2,2],[4],[5]]=>[4,3,1,2]=>[2,4,1,3]
[[2,3],[3],[5]]=>[4,2,1,3]=>[3,1,4,2]
[[2,3],[4],[5]]=>[4,3,1,2]=>[2,4,1,3]
[[2,4],[3],[5]]=>[4,2,1,3]=>[3,1,4,2]
[[2,5],[3],[4]]=>[3,2,1,4]=>[3,1,2,4]
[[2,5],[3],[5]]=>[3,2,1,4]=>[3,1,2,4]
[[2,4],[4],[5]]=>[4,2,1,3]=>[3,1,4,2]
[[2,5],[4],[5]]=>[3,2,1,4]=>[3,1,2,4]
[[3,3],[4],[5]]=>[4,3,1,2]=>[2,4,1,3]
[[3,4],[4],[5]]=>[4,2,1,3]=>[3,1,4,2]
[[3,5],[4],[5]]=>[3,2,1,4]=>[3,1,2,4]
[[1],[2],[3],[5]]=>[4,3,2,1]=>[4,1,2,3]
[[1],[2],[4],[5]]=>[4,3,2,1]=>[4,1,2,3]
[[1],[3],[4],[5]]=>[4,3,2,1]=>[4,1,2,3]
[[2],[3],[4],[5]]=>[4,3,2,1]=>[4,1,2,3]
[[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]=>[2,3,4,5,1]
[[1,1,1,2],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,1,4],[2]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,1,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,1,4],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,1,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,2,2],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,2,4],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,2,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,2,4],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,3,4],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,2,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,4,4],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,3,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,4,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,2,2,2],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[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]=>[2,3,4,5,1]
[[1,2,2,4],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[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]=>[2,3,4,1,5]
[[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]=>[2,3,4,5,1]
[[1,2,3,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,4,1,5]
[[1,2,4,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,1,4,5]
[[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]=>[2,3,4,5,1]
[[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]=>[2,3,4,1,5]
[[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]=>[2,3,1,4,5]
[[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]=>[2,3,4,5,1]
[[2,2,2,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[2,2,2,4],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[2,2,2,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[2,2,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[2,2,3,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[2,2,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[2,2,4,4],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[2,2,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[2,3,3,3],[4]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[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]=>[2,3,4,1,5]
[[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]=>[2,3,1,4,5]
[[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]=>[2,3,4,5,1]
[[3,3,3,4],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[3,3,4,4],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,5,4,1]
[[1,1,1],[3,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,1],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,2],[2,4]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,1,4],[2,2]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,2],[3,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,3],[2,4]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,1,4],[2,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,2],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,4],[2,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,3],[3,4]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,1,4],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,3],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,4],[3,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,4],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,2,2],[2,4]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,2,2],[3,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,2,3],[2,4]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,2,4],[2,3]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,2,2],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,2,4],[2,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,2,3],[3,4]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,2,4],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,3,3],[2,4]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,2,3],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,2,4],[3,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,3,4],[2,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,2,4],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,3,3],[3,4]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,3,3],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,3,4],[3,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,3,4],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,2,2],[3,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,2,2],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,2,3],[3,4]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[2,2,4],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,2,3],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,2,4],[3,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,2,4],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,3,3],[3,4]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[2,3,3],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,3,4],[3,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[2,3,4],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[3,3,3],[4,4]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[3,3,4],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,1],[2],[4]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,1,1],[3],[4]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,1,2],[2],[4]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,1,2],[3],[4]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,1,3],[2],[4]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,1,4],[2],[3]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,1,4],[2],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,1,3],[3],[4]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,1,4],[3],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,2,2],[2],[4]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,2,2],[3],[4]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,2,3],[2],[4]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,2,4],[2],[3]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,2,4],[2],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,2,3],[3],[4]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,3,3],[2],[4]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,3,4],[2],[3]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,2,4],[3],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,3,4],[2],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,4,4],[2],[3]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,4,4],[2],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,3,3],[3],[4]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,3,4],[3],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,4,4],[3],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[2,2,2],[3],[4]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[2,2,3],[3],[4]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[2,2,4],[3],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[2,3,3],[3],[4]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[2,3,4],[3],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[2,4,4],[3],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,1],[2,2],[4]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,1],[2,3],[4]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,1],[2,4],[3]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,1],[2,4],[4]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,1],[3,3],[4]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,1],[3,4],[4]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,2],[2,3],[4]]=>[5,2,4,1,3]=>[3,4,5,1,2]
[[1,2],[2,4],[3]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,2],[2,4],[4]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,2],[3,3],[4]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,3],[2,4],[3]]=>[3,2,5,1,4]=>[4,3,2,5,1]
[[1,2],[3,4],[4]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,3],[2,4],[4]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,3],[3,4],[4]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[2,2],[3,3],[4]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[2,2],[3,4],[4]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[2,3],[3,4],[4]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,1],[2],[3],[4]]=>[5,4,3,1,2]=>[2,5,1,3,4]
[[1,2],[2],[3],[4]]=>[5,4,2,1,3]=>[3,1,5,2,4]
[[1,3],[2],[3],[4]]=>[5,3,2,1,4]=>[4,1,2,5,3]
[[1,4],[2],[3],[4]]=>[4,3,2,1,5]=>[4,1,2,3,5]
[[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]=>[2,3,4,5,6,1]
[[1,1,1,1,2],[3]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[1,1,1,1,3],[2]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,1,1,3],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,1,2,2],[3]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[1,1,1,2,3],[2]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,1,2,3],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,1,3,3],[2]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,1,3,3],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,2,2,2],[3]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[1,1,2,2,3],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,1,2,2,3],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,2,3,3],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,1,2,3,3],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,3,3,3],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,1,3,3,3],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,2,2,2,2],[3]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[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]=>[2,3,4,5,1,6]
[[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]=>[2,3,4,1,5,6]
[[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]=>[2,3,1,4,5,6]
[[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]=>[2,3,4,5,6,1]
[[2,2,2,2,3],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[2,2,2,3,3],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[2,2,3,3,3],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[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]=>[2,3,4,6,5,1]
[[1,1,1,1],[3,3]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,1,1,2],[2,3]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]
[[1,1,1,3],[2,2]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,1,2],[3,3]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,1,1,3],[2,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,1,3],[3,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,2,2],[2,3]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]
[[1,1,2,3],[2,2]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,2,2],[3,3]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,1,2,3],[2,3]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]
[[1,1,3,3],[2,2]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,2,3],[3,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,3,3],[2,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,3,3],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,2,2,2],[2,3]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]
[[1,2,2,2],[3,3]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,2,2,3],[2,3]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]
[[1,2,2,3],[3,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,2,3,3],[2,3]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]
[[1,2,3,3],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[2,2,2,2],[3,3]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[2,2,2,3],[3,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[2,2,3,3],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,1,1],[2],[3]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]
[[1,1,1,2],[2],[3]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]
[[1,1,1,3],[2],[3]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]
[[1,1,2,2],[2],[3]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]
[[1,1,2,3],[2],[3]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]
[[1,1,3,3],[2],[3]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]
[[1,2,2,2],[2],[3]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]
[[1,2,2,3],[2],[3]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]
[[1,2,3,3],[2],[3]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]
[[1,3,3,3],[2],[3]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]
[[1,1,1],[2,2,3]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,1],[2,3,3]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,1],[3,3,3]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,2],[2,2,3]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]
[[1,1,2],[2,3,3]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]
[[1,1,2],[3,3,3]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,2,2],[2,3,3]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]
[[1,2,2],[3,3,3]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[2,2,2],[3,3,3]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,1],[2,2],[3]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]
[[1,1,1],[2,3],[3]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]
[[1,1,2],[2,2],[3]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]
[[1,1,2],[2,3],[3]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]
[[1,1,3],[2,2],[3]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]
[[1,1,3],[2,3],[3]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]
[[1,2,2],[2,3],[3]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]
[[1,2,3],[2,3],[3]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]
[[1,1],[2,2],[3,3]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]
[[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]=>[2,3,4,5,6,7,1]
[[1,1,1,1,1,2],[2]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]
[[1,1,1,1,2,2],[2]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]
[[1,1,1,2,2,2],[2]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]
[[1,1,2,2,2,2],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]
[[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]=>[2,3,4,5,7,6,1]
[[1,1,1,1,2],[2,2]]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]
[[1,1,1,2,2],[2,2]]=>[4,5,1,2,3,6,7]=>[2,3,5,4,1,6,7]
[[1,1,2,2,2],[2,2]]=>[3,4,1,2,5,6,7]=>[2,4,3,1,5,6,7]
[[1,1,1,1],[2,2,2]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]
[[1,1,1,2],[2,2,2]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]
[[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]=>[2,3,1]
[[1,2],[7]]=>[3,1,2]=>[2,3,1]
[[1,7],[2]]=>[2,1,3]=>[2,1,3]
[[1,3],[7]]=>[3,1,2]=>[2,3,1]
[[1,7],[3]]=>[2,1,3]=>[2,1,3]
[[1,4],[7]]=>[3,1,2]=>[2,3,1]
[[1,7],[4]]=>[2,1,3]=>[2,1,3]
[[1,5],[7]]=>[3,1,2]=>[2,3,1]
[[1,7],[5]]=>[2,1,3]=>[2,1,3]
[[1,6],[7]]=>[3,1,2]=>[2,3,1]
[[1,7],[6]]=>[2,1,3]=>[2,1,3]
[[1,7],[7]]=>[2,1,3]=>[2,1,3]
[[2,2],[7]]=>[3,1,2]=>[2,3,1]
[[2,3],[7]]=>[3,1,2]=>[2,3,1]
[[2,7],[3]]=>[2,1,3]=>[2,1,3]
[[2,4],[7]]=>[3,1,2]=>[2,3,1]
[[2,7],[4]]=>[2,1,3]=>[2,1,3]
[[2,5],[7]]=>[3,1,2]=>[2,3,1]
[[2,7],[5]]=>[2,1,3]=>[2,1,3]
[[2,6],[7]]=>[3,1,2]=>[2,3,1]
[[2,7],[6]]=>[2,1,3]=>[2,1,3]
[[2,7],[7]]=>[2,1,3]=>[2,1,3]
[[3,3],[7]]=>[3,1,2]=>[2,3,1]
[[3,4],[7]]=>[3,1,2]=>[2,3,1]
[[3,7],[4]]=>[2,1,3]=>[2,1,3]
[[3,5],[7]]=>[3,1,2]=>[2,3,1]
[[3,7],[5]]=>[2,1,3]=>[2,1,3]
[[3,6],[7]]=>[3,1,2]=>[2,3,1]
[[3,7],[6]]=>[2,1,3]=>[2,1,3]
[[3,7],[7]]=>[2,1,3]=>[2,1,3]
[[4,4],[7]]=>[3,1,2]=>[2,3,1]
[[4,5],[7]]=>[3,1,2]=>[2,3,1]
[[4,7],[5]]=>[2,1,3]=>[2,1,3]
[[4,6],[7]]=>[3,1,2]=>[2,3,1]
[[4,7],[6]]=>[2,1,3]=>[2,1,3]
[[4,7],[7]]=>[2,1,3]=>[2,1,3]
[[5,5],[7]]=>[3,1,2]=>[2,3,1]
[[5,6],[7]]=>[3,1,2]=>[2,3,1]
[[5,7],[6]]=>[2,1,3]=>[2,1,3]
[[5,7],[7]]=>[2,1,3]=>[2,1,3]
[[6,6],[7]]=>[3,1,2]=>[2,3,1]
[[6,7],[7]]=>[2,1,3]=>[2,1,3]
[[1],[2],[7]]=>[3,2,1]=>[3,1,2]
[[1],[3],[7]]=>[3,2,1]=>[3,1,2]
[[1],[4],[7]]=>[3,2,1]=>[3,1,2]
[[1],[5],[7]]=>[3,2,1]=>[3,1,2]
[[1],[6],[7]]=>[3,2,1]=>[3,1,2]
[[2],[3],[7]]=>[3,2,1]=>[3,1,2]
[[2],[4],[7]]=>[3,2,1]=>[3,1,2]
[[2],[5],[7]]=>[3,2,1]=>[3,1,2]
[[2],[6],[7]]=>[3,2,1]=>[3,1,2]
[[3],[4],[7]]=>[3,2,1]=>[3,1,2]
[[3],[5],[7]]=>[3,2,1]=>[3,1,2]
[[3],[6],[7]]=>[3,2,1]=>[3,1,2]
[[4],[5],[7]]=>[3,2,1]=>[3,1,2]
[[4],[6],[7]]=>[3,2,1]=>[3,1,2]
[[5],[6],[7]]=>[3,2,1]=>[3,1,2]
[[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]=>[2,3,4,1]
[[1,1,2],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,1,6],[2]]=>[3,1,2,4]=>[2,3,1,4]
[[1,1,3],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,1,6],[3]]=>[3,1,2,4]=>[2,3,1,4]
[[1,1,4],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,1,6],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[1,1,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,1,6],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[1,1,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[1,2,2],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,2,6],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,3],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,2,6],[3]]=>[3,1,2,4]=>[2,3,1,4]
[[1,3,6],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,4],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,2,6],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[1,4,6],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,2,6],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[1,5,6],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,2,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[1,6,6],[2]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,3],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,3,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,4],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,3,6],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[1,4,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,3,6],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[1,5,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,3,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[1,6,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[1,4,4],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[1,4,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,4,6],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[1,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[1,4,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[1,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[1,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[1,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[1,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[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]=>[2,3,4,1]
[[2,2,3],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[2,2,6],[3]]=>[3,1,2,4]=>[2,3,1,4]
[[2,2,4],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[2,2,6],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[2,2,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[2,2,6],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[2,2,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[2,3,3],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[2,3,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,3,4],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[2,3,6],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[2,4,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,3,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[2,3,6],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[2,5,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,3,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[2,6,6],[3]]=>[2,1,3,4]=>[2,1,3,4]
[[2,4,4],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[2,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[2,4,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[2,4,6],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[2,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[2,4,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[2,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[2,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[2,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[2,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[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]=>[2,3,4,1]
[[3,3,4],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[3,3,6],[4]]=>[3,1,2,4]=>[2,3,1,4]
[[3,3,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[3,3,6],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[3,3,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[3,4,4],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[3,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[3,4,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[3,4,6],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[3,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[3,4,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[3,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]
[[3,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[3,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[3,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[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]=>[2,3,4,1]
[[4,4,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[4,4,6],[5]]=>[3,1,2,4]=>[2,3,1,4]
[[4,4,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[4,5,5],[6]]=>[4,1,2,3]=>[2,3,4,1]
[[4,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]
[[4,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[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]=>[2,3,4,1]
[[5,5,6],[6]]=>[3,1,2,4]=>[2,3,1,4]
[[5,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]
[[1,1],[2,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[3,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[4,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[5,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,2],[2,6]]=>[2,4,1,3]=>[3,2,4,1]
[[1,2],[3,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,3],[2,6]]=>[2,4,1,3]=>[3,2,4,1]
[[1,2],[4,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,4],[2,6]]=>[2,4,1,3]=>[3,2,4,1]
[[1,2],[5,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,5],[2,6]]=>[2,4,1,3]=>[3,2,4,1]
[[1,2],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,3],[3,6]]=>[2,4,1,3]=>[3,2,4,1]
[[1,3],[4,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,4],[3,6]]=>[2,4,1,3]=>[3,2,4,1]
[[1,3],[5,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,5],[3,6]]=>[2,4,1,3]=>[3,2,4,1]
[[1,3],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,4],[4,6]]=>[2,4,1,3]=>[3,2,4,1]
[[1,4],[5,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,5],[4,6]]=>[2,4,1,3]=>[3,2,4,1]
[[1,4],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,5],[5,6]]=>[2,4,1,3]=>[3,2,4,1]
[[1,5],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[2,2],[3,6]]=>[3,4,1,2]=>[2,4,3,1]
[[2,2],[4,6]]=>[3,4,1,2]=>[2,4,3,1]
[[2,2],[5,6]]=>[3,4,1,2]=>[2,4,3,1]
[[2,2],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[2,3],[3,6]]=>[2,4,1,3]=>[3,2,4,1]
[[2,3],[4,6]]=>[3,4,1,2]=>[2,4,3,1]
[[2,4],[3,6]]=>[2,4,1,3]=>[3,2,4,1]
[[2,3],[5,6]]=>[3,4,1,2]=>[2,4,3,1]
[[2,5],[3,6]]=>[2,4,1,3]=>[3,2,4,1]
[[2,3],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[2,4],[4,6]]=>[2,4,1,3]=>[3,2,4,1]
[[2,4],[5,6]]=>[3,4,1,2]=>[2,4,3,1]
[[2,5],[4,6]]=>[2,4,1,3]=>[3,2,4,1]
[[2,4],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[2,5],[5,6]]=>[2,4,1,3]=>[3,2,4,1]
[[2,5],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[3,3],[4,6]]=>[3,4,1,2]=>[2,4,3,1]
[[3,3],[5,6]]=>[3,4,1,2]=>[2,4,3,1]
[[3,3],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[3,4],[4,6]]=>[2,4,1,3]=>[3,2,4,1]
[[3,4],[5,6]]=>[3,4,1,2]=>[2,4,3,1]
[[3,5],[4,6]]=>[2,4,1,3]=>[3,2,4,1]
[[3,4],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[3,5],[5,6]]=>[2,4,1,3]=>[3,2,4,1]
[[3,5],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[4,4],[5,6]]=>[3,4,1,2]=>[2,4,3,1]
[[4,4],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[4,5],[5,6]]=>[2,4,1,3]=>[3,2,4,1]
[[4,5],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[5,5],[6,6]]=>[3,4,1,2]=>[2,4,3,1]
[[1,1],[2],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[1,1],[3],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[1,1],[4],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[1,1],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[1,2],[2],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[1,2],[3],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[1,3],[2],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[1,6],[2],[3]]=>[3,2,1,4]=>[3,1,2,4]
[[1,2],[4],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[1,4],[2],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[1,6],[2],[4]]=>[3,2,1,4]=>[3,1,2,4]
[[1,2],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[1,5],[2],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[1,6],[2],[5]]=>[3,2,1,4]=>[3,1,2,4]
[[1,6],[2],[6]]=>[3,2,1,4]=>[3,1,2,4]
[[1,3],[3],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[1,3],[4],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[1,4],[3],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[1,6],[3],[4]]=>[3,2,1,4]=>[3,1,2,4]
[[1,3],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[1,5],[3],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[1,6],[3],[5]]=>[3,2,1,4]=>[3,1,2,4]
[[1,6],[3],[6]]=>[3,2,1,4]=>[3,1,2,4]
[[1,4],[4],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[1,4],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[1,5],[4],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[1,6],[4],[5]]=>[3,2,1,4]=>[3,1,2,4]
[[1,6],[4],[6]]=>[3,2,1,4]=>[3,1,2,4]
[[1,5],[5],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[1,6],[5],[6]]=>[3,2,1,4]=>[3,1,2,4]
[[2,2],[3],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[2,2],[4],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[2,2],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[2,3],[3],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[2,3],[4],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[2,4],[3],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[2,6],[3],[4]]=>[3,2,1,4]=>[3,1,2,4]
[[2,3],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[2,5],[3],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[2,6],[3],[5]]=>[3,2,1,4]=>[3,1,2,4]
[[2,6],[3],[6]]=>[3,2,1,4]=>[3,1,2,4]
[[2,4],[4],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[2,4],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[2,5],[4],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[2,6],[4],[5]]=>[3,2,1,4]=>[3,1,2,4]
[[2,6],[4],[6]]=>[3,2,1,4]=>[3,1,2,4]
[[2,5],[5],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[2,6],[5],[6]]=>[3,2,1,4]=>[3,1,2,4]
[[3,3],[4],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[3,3],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[3,4],[4],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[3,4],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[3,5],[4],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[3,6],[4],[5]]=>[3,2,1,4]=>[3,1,2,4]
[[3,6],[4],[6]]=>[3,2,1,4]=>[3,1,2,4]
[[3,5],[5],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[3,6],[5],[6]]=>[3,2,1,4]=>[3,1,2,4]
[[4,4],[5],[6]]=>[4,3,1,2]=>[2,4,1,3]
[[4,5],[5],[6]]=>[4,2,1,3]=>[3,1,4,2]
[[4,6],[5],[6]]=>[3,2,1,4]=>[3,1,2,4]
[[1],[2],[3],[6]]=>[4,3,2,1]=>[4,1,2,3]
[[1],[2],[4],[6]]=>[4,3,2,1]=>[4,1,2,3]
[[1],[2],[5],[6]]=>[4,3,2,1]=>[4,1,2,3]
[[1],[3],[4],[6]]=>[4,3,2,1]=>[4,1,2,3]
[[1],[3],[5],[6]]=>[4,3,2,1]=>[4,1,2,3]
[[1],[4],[5],[6]]=>[4,3,2,1]=>[4,1,2,3]
[[2],[3],[4],[6]]=>[4,3,2,1]=>[4,1,2,3]
[[2],[3],[5],[6]]=>[4,3,2,1]=>[4,1,2,3]
[[2],[4],[5],[6]]=>[4,3,2,1]=>[4,1,2,3]
[[3],[4],[5],[6]]=>[4,3,2,1]=>[4,1,2,3]
[[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]=>[2,3,4,5,1]
[[1,1,1,2],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,1,5],[2]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,1,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,1,5],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,1,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,1,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,1,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,2,2],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,2,5],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,2,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,2,5],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,3,5],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,2,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,2,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,4,5],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,2,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,5,5],[2]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,3,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,3,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,3,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,3,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,4,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,3,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,5,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[1,1,4,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,1,5,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,1,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[1,2,2,2],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[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]=>[2,3,4,5,1]
[[1,2,2,5],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[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]=>[2,3,4,5,1]
[[1,2,2,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[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]=>[2,3,4,1,5]
[[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]=>[2,3,4,5,1]
[[1,2,3,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,4,5,1]
[[1,2,3,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[1,2,4,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,4,1,5]
[[1,2,5,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,4,5,1]
[[1,2,4,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,4,1,5]
[[1,2,5,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,1,4,5]
[[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]=>[2,3,4,5,1]
[[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]=>[2,3,4,5,1]
[[1,3,3,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[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]=>[2,3,4,1,5]
[[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]=>[2,3,4,5,1]
[[1,3,4,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,4,1,5]
[[1,3,5,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,1,4,5]
[[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]=>[2,3,4,5,1]
[[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]=>[2,3,4,1,5]
[[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]=>[2,3,1,4,5]
[[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]=>[2,3,4,5,1]
[[2,2,2,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[2,2,2,5],[3]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[2,2,2,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[2,2,2,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[2,2,2,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[2,2,3,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[2,2,3,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[2,2,3,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[2,2,3,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[2,2,4,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[2,2,3,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[2,2,5,5],[3]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[2,2,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[2,2,4,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[2,2,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[2,2,5,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[2,2,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[2,3,3,3],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[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]=>[2,3,4,5,1]
[[2,3,3,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[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]=>[2,3,4,1,5]
[[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]=>[2,3,4,5,1]
[[2,3,4,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,4,1,5]
[[2,3,5,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,1,4,5]
[[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]=>[2,3,4,5,1]
[[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]=>[2,3,4,1,5]
[[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]=>[2,3,1,4,5]
[[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]=>[2,3,4,5,1]
[[3,3,3,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[3,3,3,5],[4]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[3,3,3,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[3,3,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[3,3,4,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[3,3,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[3,3,5,5],[4]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[3,3,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[3,4,4,4],[5]]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[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]=>[2,3,4,1,5]
[[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]=>[2,3,1,4,5]
[[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]=>[2,3,4,5,1]
[[4,4,4,5],[5]]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[4,4,5,5],[5]]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[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]=>[2,3,5,4,1]
[[1,1,1],[3,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,1],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,1],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,2],[2,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,1,5],[2,2]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,2],[3,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,3],[2,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,1,5],[2,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,2],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,4],[2,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,1,5],[2,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,2],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,5],[2,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,3],[3,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,1,5],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,3],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,4],[3,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,1,5],[3,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,3],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,5],[3,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,4],[4,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,1,5],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,1,5],[4,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,2,2],[2,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,2,2],[3,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,2,3],[2,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,2,5],[2,3]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,2,2],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,2,4],[2,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,2,5],[2,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,2,2],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,2,5],[2,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,2,3],[3,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,2,5],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,3,3],[2,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,2,3],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,2,4],[3,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,2,5],[3,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,3,4],[2,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,3,5],[2,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,2,3],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,2,5],[3,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,3,5],[2,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,2,4],[4,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,2,5],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,4,4],[2,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,2,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,2,5],[4,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,4,5],[2,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,2,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,3,3],[3,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,3,3],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,3,4],[3,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,3,5],[3,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,3,3],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,3,5],[3,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,3,4],[4,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[1,3,5],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,4,4],[3,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,3,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,3,5],[4,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,4,5],[3,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,3,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,4,4],[4,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[1,4,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[1,4,5],[4,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[1,4,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,2,2],[3,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,2,2],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,2,2],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,2,3],[3,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[2,2,5],[3,3]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,2,3],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,2,4],[3,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[2,2,5],[3,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,2,3],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,2,5],[3,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,2,4],[4,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[2,2,5],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,2,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,2,5],[4,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,2,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,3,3],[3,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[2,3,3],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,3,4],[3,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[2,3,5],[3,4]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[2,3,3],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,3,5],[3,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[2,3,4],[4,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[2,3,5],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,4,4],[3,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[2,3,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,3,5],[4,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,4,5],[3,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[2,3,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[2,4,4],[4,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[2,4,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[2,4,5],[4,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[2,4,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[3,3,3],[4,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[3,3,3],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[3,3,4],[4,5]]=>[3,5,1,2,4]=>[2,4,3,5,1]
[[3,3,5],[4,4]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[3,3,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[3,3,5],[4,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[3,3,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[3,4,4],[4,5]]=>[2,5,1,3,4]=>[3,2,4,5,1]
[[3,4,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[3,4,5],[4,5]]=>[2,4,1,3,5]=>[3,2,4,1,5]
[[3,4,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[4,4,4],[5,5]]=>[4,5,1,2,3]=>[2,3,5,4,1]
[[4,4,5],[5,5]]=>[3,4,1,2,5]=>[2,4,3,1,5]
[[1,1,1],[2],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,1,1],[3],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,1,1],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,1,2],[2],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,1,2],[3],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,1,3],[2],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,1,5],[2],[3]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,1,2],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,1,4],[2],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,1,5],[2],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,1,5],[2],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,1,3],[3],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,1,3],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,1,4],[3],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,1,5],[3],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,1,5],[3],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,1,4],[4],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,1,5],[4],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,2,2],[2],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,2,2],[3],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,2,3],[2],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,2,5],[2],[3]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,2,2],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,2,4],[2],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,2,5],[2],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,2,5],[2],[5]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,2,3],[3],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,3,3],[2],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,3,5],[2],[3]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,2,5],[3],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,3,5],[2],[5]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,5,5],[2],[3]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,2,4],[4],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,4,4],[2],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,4,5],[2],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,2,5],[4],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,4,5],[2],[5]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,5,5],[2],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,5,5],[2],[5]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,3,3],[3],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,3,3],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[1,3,4],[3],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,3,5],[3],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,3,5],[3],[5]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,3,4],[4],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[1,4,4],[3],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,4,5],[3],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,3,5],[4],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[1,4,5],[3],[5]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,5,5],[3],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,5,5],[3],[5]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,4,4],[4],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[1,4,5],[4],[5]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[1,5,5],[4],[5]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[2,2,2],[3],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[2,2,2],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[2,2,3],[3],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[2,2,3],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[2,2,4],[3],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[2,2,5],[3],[4]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[2,2,5],[3],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[2,2,4],[4],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[2,2,5],[4],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[2,3,3],[3],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[2,3,3],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[2,3,4],[3],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[2,3,5],[3],[4]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[2,3,5],[3],[5]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[2,3,4],[4],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[2,4,4],[3],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[2,4,5],[3],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[2,3,5],[4],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[2,4,5],[3],[5]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[2,5,5],[3],[4]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[2,5,5],[3],[5]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[2,4,4],[4],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[2,4,5],[4],[5]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[2,5,5],[4],[5]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[3,3,3],[4],[5]]=>[5,4,1,2,3]=>[2,3,5,1,4]
[[3,3,4],[4],[5]]=>[5,3,1,2,4]=>[2,4,1,5,3]
[[3,3,5],[4],[5]]=>[4,3,1,2,5]=>[2,4,1,3,5]
[[3,4,4],[4],[5]]=>[5,2,1,3,4]=>[3,1,4,5,2]
[[3,4,5],[4],[5]]=>[4,2,1,3,5]=>[3,1,4,2,5]
[[3,5,5],[4],[5]]=>[3,2,1,4,5]=>[3,1,2,4,5]
[[1,1],[2,2],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,1],[2,3],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,1],[2,5],[3]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,1],[2,4],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,1],[2,5],[4]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,1],[2,5],[5]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,1],[3,3],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,1],[3,4],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,1],[3,5],[4]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,1],[3,5],[5]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,1],[4,4],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,1],[4,5],[5]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,2],[2,3],[5]]=>[5,2,4,1,3]=>[3,4,5,1,2]
[[1,2],[2,5],[3]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,2],[2,4],[5]]=>[5,2,4,1,3]=>[3,4,5,1,2]
[[1,2],[2,5],[4]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,2],[2,5],[5]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,2],[3,3],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,3],[2,5],[3]]=>[3,2,5,1,4]=>[4,3,2,5,1]
[[1,2],[3,4],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>[3,4,5,1,2]
[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[4,3,2,5,1]
[[1,2],[3,5],[5]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,3],[2,5],[5]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,2],[4,4],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,4],[2,5],[4]]=>[3,2,5,1,4]=>[4,3,2,5,1]
[[1,2],[4,5],[5]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,4],[2,5],[5]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,3],[3,4],[5]]=>[5,2,4,1,3]=>[3,4,5,1,2]
[[1,3],[3,5],[4]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,3],[3,5],[5]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,3],[4,4],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[1,4],[3,5],[4]]=>[3,2,5,1,4]=>[4,3,2,5,1]
[[1,3],[4,5],[5]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[1,4],[3,5],[5]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,4],[4,5],[5]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[2,2],[3,3],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[2,2],[3,4],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[2,2],[3,5],[4]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[2,2],[3,5],[5]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[2,2],[4,4],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[2,2],[4,5],[5]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[2,3],[3,4],[5]]=>[5,2,4,1,3]=>[3,4,5,1,2]
[[2,3],[3,5],[4]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[2,3],[3,5],[5]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[2,3],[4,4],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[2,4],[3,5],[4]]=>[3,2,5,1,4]=>[4,3,2,5,1]
[[2,3],[4,5],[5]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[2,4],[3,5],[5]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[2,4],[4,5],[5]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[3,3],[4,4],[5]]=>[5,3,4,1,2]=>[2,5,4,1,3]
[[3,3],[4,5],[5]]=>[4,3,5,1,2]=>[2,5,4,3,1]
[[3,4],[4,5],[5]]=>[4,2,5,1,3]=>[3,4,5,2,1]
[[1,1],[2],[3],[5]]=>[5,4,3,1,2]=>[2,5,1,3,4]
[[1,1],[2],[4],[5]]=>[5,4,3,1,2]=>[2,5,1,3,4]
[[1,1],[3],[4],[5]]=>[5,4,3,1,2]=>[2,5,1,3,4]
[[1,2],[2],[3],[5]]=>[5,4,2,1,3]=>[3,1,5,2,4]
[[1,2],[2],[4],[5]]=>[5,4,2,1,3]=>[3,1,5,2,4]
[[1,3],[2],[3],[5]]=>[5,3,2,1,4]=>[4,1,2,5,3]
[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>[2,5,1,3,4]
[[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>[3,1,5,2,4]
[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>[4,1,2,5,3]
[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[4,1,2,3,5]
[[1,5],[2],[3],[5]]=>[4,3,2,1,5]=>[4,1,2,3,5]
[[1,4],[2],[4],[5]]=>[5,3,2,1,4]=>[4,1,2,5,3]
[[1,5],[2],[4],[5]]=>[4,3,2,1,5]=>[4,1,2,3,5]
[[1,3],[3],[4],[5]]=>[5,4,2,1,3]=>[3,1,5,2,4]
[[1,4],[3],[4],[5]]=>[5,3,2,1,4]=>[4,1,2,5,3]
[[1,5],[3],[4],[5]]=>[4,3,2,1,5]=>[4,1,2,3,5]
[[2,2],[3],[4],[5]]=>[5,4,3,1,2]=>[2,5,1,3,4]
[[2,3],[3],[4],[5]]=>[5,4,2,1,3]=>[3,1,5,2,4]
[[2,4],[3],[4],[5]]=>[5,3,2,1,4]=>[4,1,2,5,3]
[[2,5],[3],[4],[5]]=>[4,3,2,1,5]=>[4,1,2,3,5]
[[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>[5,1,2,3,4]
[[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]=>[2,3,4,5,6,1]
[[1,1,1,1,2],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[1,1,1,1,4],[2]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,1,1,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[1,1,1,1,4],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,1,1,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,1,2,2],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[1,1,1,2,4],[2]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,1,2,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[1,1,1,2,4],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,1,3,4],[2]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,1,2,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,1,4,4],[2]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,1,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[1,1,1,3,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,1,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,1,4,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,1,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,2,2,2],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[1,1,2,2,4],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,1,2,2,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[1,1,2,2,4],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,2,3,4],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,1,2,2,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,2,4,4],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,1,2,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[1,1,2,3,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,3,3,4],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,1,2,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,2,4,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,3,4,4],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,1,2,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,4,4,4],[2]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,1,3,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[1,1,3,3,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,1,3,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,1,3,4,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,1,3,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,1,4,4,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,1,4,4,4],[4]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,2,2,2,2],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[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]=>[2,3,4,5,6,1]
[[1,2,2,2,4],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[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]=>[2,3,4,5,1,6]
[[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]=>[2,3,4,5,6,1]
[[1,2,2,3,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[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]=>[2,3,4,5,1,6]
[[1,2,2,4,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[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]=>[2,3,4,1,5,6]
[[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]=>[2,3,4,5,6,1]
[[1,2,3,3,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[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]=>[2,3,4,5,1,6]
[[1,2,3,4,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[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]=>[2,3,4,1,5,6]
[[1,2,4,4,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[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]=>[2,3,1,4,5,6]
[[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]=>[2,3,4,5,6,1]
[[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]=>[2,3,4,5,1,6]
[[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]=>[2,3,4,1,5,6]
[[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]=>[2,3,1,4,5,6]
[[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]=>[2,3,4,5,6,1]
[[2,2,2,2,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[2,2,2,2,4],[3]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[2,2,2,2,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[2,2,2,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[2,2,2,3,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[2,2,2,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[2,2,2,4,4],[3]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[2,2,2,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[2,2,3,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[2,2,3,3,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[2,2,3,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[2,2,3,4,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[2,2,3,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[2,2,4,4,4],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[2,2,4,4,4],[4]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[2,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[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]=>[2,3,4,5,1,6]
[[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]=>[2,3,4,1,5,6]
[[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]=>[2,3,1,4,5,6]
[[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]=>[2,3,4,5,6,1]
[[3,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[3,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[3,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[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]=>[2,3,4,6,5,1]
[[1,1,1,1],[3,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,1,1,1],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,1,1,2],[2,4]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]
[[1,1,1,4],[2,2]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,1,2],[3,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,1,1,3],[2,4]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]
[[1,1,1,4],[2,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,1,2],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,1,1,4],[2,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,1,3],[3,4]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]
[[1,1,1,4],[3,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,1,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,1,1,4],[3,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,1,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,2,2],[2,4]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]
[[1,1,2,4],[2,2]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,2,2],[3,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,1,2,3],[2,4]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]
[[1,1,2,4],[2,3]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]
[[1,1,3,4],[2,2]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,2,2],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,1,2,4],[2,4]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]
[[1,1,4,4],[2,2]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,2,3],[3,4]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]
[[1,1,2,4],[3,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,3,3],[2,4]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]
[[1,1,3,4],[2,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,2,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,1,2,4],[3,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,3,4],[2,4]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]
[[1,1,4,4],[2,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,2,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,4,4],[2,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,3,3],[3,4]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]
[[1,1,3,4],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,3,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,1,3,4],[3,4]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]
[[1,1,4,4],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,3,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,1,4,4],[3,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,4,4],[4,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,2,2,2],[2,4]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]
[[1,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,2,2,3],[2,4]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]
[[1,2,2,4],[2,3]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]
[[1,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,2,2,4],[2,4]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]
[[1,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]
[[1,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,2,3,3],[2,4]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]
[[1,2,3,4],[2,3]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]
[[1,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,2,3,4],[2,4]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]
[[1,2,4,4],[2,3]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]
[[1,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,2,4,4],[2,4]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]
[[1,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]
[[1,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,3,3,3],[2,4]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]
[[1,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]
[[1,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,3,3,4],[2,4]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]
[[1,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,3,4,4],[2,4]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]
[[1,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]
[[1,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]
[[1,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]
[[1,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[2,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[2,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[2,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]
[[2,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[2,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[2,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[2,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[2,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]
[[2,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[2,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[2,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]
[[2,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[2,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[2,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[2,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[2,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]
[[2,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[2,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]
[[2,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[2,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]
[[2,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[3,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[3,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[3,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,1,1,1],[2],[4]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]
[[1,1,1,1],[3],[4]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]
[[1,1,1,2],[2],[4]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]
[[1,1,1,2],[3],[4]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]
[[1,1,1,3],[2],[4]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]
[[1,1,1,4],[2],[3]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]
[[1,1,1,4],[2],[4]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]
[[1,1,1,3],[3],[4]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]
[[1,1,1,4],[3],[4]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]
[[1,1,2,2],[2],[4]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]
[[1,1,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]
[[1,1,2,3],[2],[4]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]
[[1,1,2,4],[2],[3]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]
[[1,1,2,4],[2],[4]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]
[[1,1,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]
[[1,1,3,3],[2],[4]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]
[[1,1,3,4],[2],[3]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]
[[1,1,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]
[[1,1,3,4],[2],[4]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]
[[1,1,4,4],[2],[3]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]
[[1,1,4,4],[2],[4]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]
[[1,1,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]
[[1,1,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]
[[1,1,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]
[[1,2,2,2],[2],[4]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]
[[1,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]
[[1,2,2,3],[2],[4]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]
[[1,2,2,4],[2],[3]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]
[[1,2,2,4],[2],[4]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]
[[1,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]
[[1,2,3,3],[2],[4]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]
[[1,2,3,4],[2],[3]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]
[[1,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]
[[1,2,3,4],[2],[4]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]
[[1,2,4,4],[2],[3]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]
[[1,2,4,4],[2],[4]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]
[[1,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]
[[1,3,3,3],[2],[4]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]
[[1,3,3,4],[2],[3]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]
[[1,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]
[[1,3,3,4],[2],[4]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]
[[1,3,4,4],[2],[3]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]
[[1,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]
[[1,3,4,4],[2],[4]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]
[[1,4,4,4],[2],[3]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]
[[1,4,4,4],[2],[4]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]
[[1,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]
[[1,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]
[[1,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]
[[1,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]
[[2,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]
[[2,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]
[[2,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]
[[2,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]
[[2,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]
[[2,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]
[[2,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]
[[2,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]
[[2,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]
[[2,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]
[[1,1,1],[2,2,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,1],[2,3,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,1],[2,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,1],[3,3,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,1],[3,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,1],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,2],[2,2,4]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]
[[1,1,2],[2,3,4]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]
[[1,1,3],[2,2,4]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]
[[1,1,2],[2,4,4]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]
[[1,1,2],[3,3,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,3],[2,3,4]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]
[[1,1,2],[3,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,3],[2,4,4]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]
[[1,1,2],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,3],[3,3,4]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]
[[1,1,3],[3,4,4]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]
[[1,1,3],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,2,2],[2,3,4]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]
[[1,2,2],[2,4,4]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]
[[1,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,2,3],[2,3,4]]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]
[[1,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,2,3],[2,4,4]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]
[[1,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]
[[1,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]
[[1,3,3],[2,4,4]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]
[[1,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]
[[1,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[2,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[2,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[2,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[2,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]
[[2,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]
[[2,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[2,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]
[[2,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[3,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,1,1],[2,2],[4]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]
[[1,1,1],[2,3],[4]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]
[[1,1,1],[2,4],[3]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]
[[1,1,1],[2,4],[4]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]
[[1,1,1],[3,3],[4]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]
[[1,1,1],[3,4],[4]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]
[[1,1,2],[2,2],[4]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]
[[1,1,2],[2,3],[4]]=>[6,3,5,1,2,4]=>[2,4,5,6,1,3]
[[1,1,2],[2,4],[3]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]
[[1,1,3],[2,2],[4]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]
[[1,1,4],[2,2],[3]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]
[[1,1,2],[2,4],[4]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]
[[1,1,4],[2,2],[4]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]
[[1,1,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]
[[1,1,3],[2,3],[4]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]
[[1,1,3],[2,4],[3]]=>[4,3,6,1,2,5]=>[2,5,4,3,6,1]
[[1,1,4],[2,3],[3]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]
[[1,1,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]
[[1,1,3],[2,4],[4]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]
[[1,1,4],[2,3],[4]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]
[[1,1,4],[2,4],[3]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]
[[1,1,4],[2,4],[4]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]
[[1,1,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]
[[1,1,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]
[[1,1,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]
[[1,1,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]
[[1,2,2],[2,3],[4]]=>[6,2,5,1,3,4]=>[3,5,4,6,1,2]
[[1,2,2],[2,4],[3]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]
[[1,2,2],[2,4],[4]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]
[[1,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]
[[1,2,3],[2,3],[4]]=>[6,2,4,1,3,5]=>[3,4,5,1,6,2]
[[1,2,3],[2,4],[3]]=>[4,2,6,1,3,5]=>[3,4,5,2,6,1]
[[1,2,4],[2,3],[3]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]
[[1,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]
[[1,2,3],[2,4],[4]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]
[[1,2,4],[2,3],[4]]=>[5,2,4,1,3,6]=>[3,4,5,1,2,6]
[[1,2,4],[2,4],[3]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]
[[1,2,4],[2,4],[4]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]
[[1,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]
[[1,3,3],[2,4],[3]]=>[3,2,6,1,4,5]=>[4,3,2,5,6,1]
[[1,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]
[[1,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]
[[1,3,3],[2,4],[4]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]
[[1,3,4],[2,4],[3]]=>[3,2,5,1,4,6]=>[4,3,2,5,1,6]
[[1,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]
[[1,3,4],[2,4],[4]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]
[[1,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]
[[1,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]
[[2,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]
[[2,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]
[[2,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]
[[2,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]
[[2,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]
[[2,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]
[[2,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]
[[2,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]
[[1,1,1],[2],[3],[4]]=>[6,5,4,1,2,3]=>[2,3,6,1,4,5]
[[1,1,2],[2],[3],[4]]=>[6,5,3,1,2,4]=>[2,4,1,6,3,5]
[[1,1,3],[2],[3],[4]]=>[6,4,3,1,2,5]=>[2,5,1,3,6,4]
[[1,1,4],[2],[3],[4]]=>[5,4,3,1,2,6]=>[2,5,1,3,4,6]
[[1,2,2],[2],[3],[4]]=>[6,5,2,1,3,4]=>[3,1,4,6,2,5]
[[1,2,3],[2],[3],[4]]=>[6,4,2,1,3,5]=>[3,1,5,2,6,4]
[[1,2,4],[2],[3],[4]]=>[5,4,2,1,3,6]=>[3,1,5,2,4,6]
[[1,3,3],[2],[3],[4]]=>[6,3,2,1,4,5]=>[4,1,2,5,6,3]
[[1,3,4],[2],[3],[4]]=>[5,3,2,1,4,6]=>[4,1,2,5,3,6]
[[1,4,4],[2],[3],[4]]=>[4,3,2,1,5,6]=>[4,1,2,3,5,6]
[[1,1],[2,2],[3,4]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]
[[1,1],[2,2],[4,4]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]
[[1,1],[2,3],[3,4]]=>[4,6,3,5,1,2]=>[2,6,5,4,1,3]
[[1,1],[2,3],[4,4]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]
[[1,1],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]
[[1,2],[2,3],[3,4]]=>[4,6,2,5,1,3]=>[3,5,6,4,1,2]
[[1,2],[2,3],[4,4]]=>[5,6,2,4,1,3]=>[3,4,6,1,5,2]
[[1,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]
[[2,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]
[[1,1],[2,2],[3],[4]]=>[6,5,3,4,1,2]=>[2,6,4,1,3,5]
[[1,1],[2,3],[3],[4]]=>[6,4,3,5,1,2]=>[2,6,5,3,1,4]
[[1,1],[2,4],[3],[4]]=>[5,4,3,6,1,2]=>[2,6,5,3,4,1]
[[1,2],[2,3],[3],[4]]=>[6,4,2,5,1,3]=>[3,5,6,2,1,4]
[[1,2],[2,4],[3],[4]]=>[5,4,2,6,1,3]=>[3,5,6,2,4,1]
[[1,3],[2,4],[3],[4]]=>[5,3,2,6,1,4]=>[4,5,2,6,3,1]
[[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]=>[2,3,4,5,6,7,1]
[[1,1,1,1,1,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]
[[1,1,1,1,1,3],[2]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]
[[1,1,1,1,1,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]
[[1,1,1,1,2,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]
[[1,1,1,1,2,3],[2]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]
[[1,1,1,1,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]
[[1,1,1,1,3,3],[2]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]
[[1,1,1,1,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]
[[1,1,1,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]
[[1,1,1,2,2,3],[2]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]
[[1,1,1,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]
[[1,1,1,2,3,3],[2]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]
[[1,1,1,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]
[[1,1,1,3,3,3],[2]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]
[[1,1,1,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]
[[1,1,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]
[[1,1,2,2,2,3],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]
[[1,1,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]
[[1,1,2,2,3,3],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]
[[1,1,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]
[[1,1,2,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]
[[1,1,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]
[[1,1,3,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]
[[1,1,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]
[[1,2,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]
[[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]=>[2,3,4,5,6,1,7]
[[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]=>[2,3,4,5,1,6,7]
[[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]=>[2,3,4,1,5,6,7]
[[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]=>[2,3,1,4,5,6,7]
[[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]=>[2,3,4,5,6,7,1]
[[2,2,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]
[[2,2,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]
[[2,2,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]
[[2,2,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]
[[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]=>[2,3,4,5,7,6,1]
[[1,1,1,1,1],[3,3]]=>[6,7,1,2,3,4,5]=>[2,3,4,5,7,6,1]
[[1,1,1,1,2],[2,3]]=>[5,7,1,2,3,4,6]=>[2,3,4,6,5,7,1]
[[1,1,1,1,3],[2,2]]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]
[[1,1,1,1,2],[3,3]]=>[6,7,1,2,3,4,5]=>[2,3,4,5,7,6,1]
[[1,1,1,1,3],[2,3]]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]
[[1,1,1,1,3],[3,3]]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]
[[1,1,1,2,2],[2,3]]=>[4,7,1,2,3,5,6]=>[2,3,5,4,6,7,1]
[[1,1,1,2,3],[2,2]]=>[4,5,1,2,3,6,7]=>[2,3,5,4,1,6,7]
[[1,1,1,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[2,3,4,5,7,6,1]
[[1,1,1,2,3],[2,3]]=>[4,6,1,2,3,5,7]=>[2,3,5,4,6,1,7]
[[1,1,1,3,3],[2,2]]=>[4,5,1,2,3,6,7]=>[2,3,5,4,1,6,7]
[[1,1,1,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]
[[1,1,1,3,3],[2,3]]=>[4,5,1,2,3,6,7]=>[2,3,5,4,1,6,7]
[[1,1,1,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>[2,3,5,4,1,6,7]
[[1,1,2,2,2],[2,3]]=>[3,7,1,2,4,5,6]=>[2,4,3,5,6,7,1]
[[1,1,2,2,3],[2,2]]=>[3,4,1,2,5,6,7]=>[2,4,3,1,5,6,7]
[[1,1,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[2,3,4,5,7,6,1]
[[1,1,2,2,3],[2,3]]=>[3,6,1,2,4,5,7]=>[2,4,3,5,6,1,7]
[[1,1,2,3,3],[2,2]]=>[3,4,1,2,5,6,7]=>[2,4,3,1,5,6,7]
[[1,1,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]
[[1,1,2,3,3],[2,3]]=>[3,5,1,2,4,6,7]=>[2,4,3,5,1,6,7]
[[1,1,3,3,3],[2,2]]=>[3,4,1,2,5,6,7]=>[2,4,3,1,5,6,7]
[[1,1,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>[2,3,5,4,1,6,7]
[[1,1,3,3,3],[2,3]]=>[3,4,1,2,5,6,7]=>[2,4,3,1,5,6,7]
[[1,1,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>[2,4,3,1,5,6,7]
[[1,2,2,2,2],[2,3]]=>[2,7,1,3,4,5,6]=>[3,2,4,5,6,7,1]
[[1,2,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[2,3,4,5,7,6,1]
[[1,2,2,2,3],[2,3]]=>[2,6,1,3,4,5,7]=>[3,2,4,5,6,1,7]
[[1,2,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]
[[1,2,2,3,3],[2,3]]=>[2,5,1,3,4,6,7]=>[3,2,4,5,1,6,7]
[[1,2,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>[2,3,5,4,1,6,7]
[[1,2,3,3,3],[2,3]]=>[2,4,1,3,5,6,7]=>[3,2,4,1,5,6,7]
[[1,2,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>[2,4,3,1,5,6,7]
[[2,2,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[2,3,4,5,7,6,1]
[[2,2,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]
[[2,2,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>[2,3,5,4,1,6,7]
[[2,2,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>[2,4,3,1,5,6,7]
[[1,1,1,1,1],[2],[3]]=>[7,6,1,2,3,4,5]=>[2,3,4,5,7,1,6]
[[1,1,1,1,2],[2],[3]]=>[7,5,1,2,3,4,6]=>[2,3,4,6,1,7,5]
[[1,1,1,1,3],[2],[3]]=>[6,5,1,2,3,4,7]=>[2,3,4,6,1,5,7]
[[1,1,1,2,2],[2],[3]]=>[7,4,1,2,3,5,6]=>[2,3,5,1,6,7,4]
[[1,1,1,2,3],[2],[3]]=>[6,4,1,2,3,5,7]=>[2,3,5,1,6,4,7]
[[1,1,1,3,3],[2],[3]]=>[5,4,1,2,3,6,7]=>[2,3,5,1,4,6,7]
[[1,1,2,2,2],[2],[3]]=>[7,3,1,2,4,5,6]=>[2,4,1,5,6,7,3]
[[1,1,2,2,3],[2],[3]]=>[6,3,1,2,4,5,7]=>[2,4,1,5,6,3,7]
[[1,1,2,3,3],[2],[3]]=>[5,3,1,2,4,6,7]=>[2,4,1,5,3,6,7]
[[1,1,3,3,3],[2],[3]]=>[4,3,1,2,5,6,7]=>[2,4,1,3,5,6,7]
[[1,2,2,2,2],[2],[3]]=>[7,2,1,3,4,5,6]=>[3,1,4,5,6,7,2]
[[1,2,2,2,3],[2],[3]]=>[6,2,1,3,4,5,7]=>[3,1,4,5,6,2,7]
[[1,2,2,3,3],[2],[3]]=>[5,2,1,3,4,6,7]=>[3,1,4,5,2,6,7]
[[1,2,3,3,3],[2],[3]]=>[4,2,1,3,5,6,7]=>[3,1,4,2,5,6,7]
[[1,3,3,3,3],[2],[3]]=>[3,2,1,4,5,6,7]=>[3,1,2,4,5,6,7]
[[1,1,1,1],[2,2,3]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]
[[1,1,1,1],[2,3,3]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]
[[1,1,1,1],[3,3,3]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]
[[1,1,1,2],[2,2,3]]=>[4,5,7,1,2,3,6]=>[2,3,6,4,5,7,1]
[[1,1,1,3],[2,2,2]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]
[[1,1,1,2],[2,3,3]]=>[4,6,7,1,2,3,5]=>[2,3,5,4,7,6,1]
[[1,1,1,3],[2,2,3]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]
[[1,1,1,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]
[[1,1,1,3],[2,3,3]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]
[[1,1,1,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]
[[1,1,2,2],[2,2,3]]=>[3,4,7,1,2,5,6]=>[2,5,3,4,6,7,1]
[[1,1,2,2],[2,3,3]]=>[3,6,7,1,2,4,5]=>[2,4,3,5,7,6,1]
[[1,1,2,3],[2,2,3]]=>[3,4,6,1,2,5,7]=>[2,5,3,4,6,1,7]
[[1,1,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]
[[1,1,2,3],[2,3,3]]=>[3,5,6,1,2,4,7]=>[2,4,3,6,5,1,7]
[[1,1,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]
[[1,2,2,2],[2,3,3]]=>[2,6,7,1,3,4,5]=>[3,2,4,5,7,6,1]
[[1,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]
[[1,2,2,3],[2,3,3]]=>[2,5,6,1,3,4,7]=>[3,2,4,6,5,1,7]
[[1,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]
[[2,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]
[[2,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]
[[1,1,1,1],[2,2],[3]]=>[7,5,6,1,2,3,4]=>[2,3,4,7,6,1,5]
[[1,1,1,1],[2,3],[3]]=>[6,5,7,1,2,3,4]=>[2,3,4,7,6,5,1]
[[1,1,1,2],[2,2],[3]]=>[7,4,5,1,2,3,6]=>[2,3,6,5,1,7,4]
[[1,1,1,2],[2,3],[3]]=>[6,4,7,1,2,3,5]=>[2,3,5,6,7,4,1]
[[1,1,1,3],[2,2],[3]]=>[6,4,5,1,2,3,7]=>[2,3,6,5,1,4,7]
[[1,1,1,3],[2,3],[3]]=>[5,4,6,1,2,3,7]=>[2,3,6,5,4,1,7]
[[1,1,2,2],[2,2],[3]]=>[7,3,4,1,2,5,6]=>[2,5,4,1,6,7,3]
[[1,1,2,2],[2,3],[3]]=>[6,3,7,1,2,4,5]=>[2,4,6,5,7,3,1]
[[1,1,2,3],[2,2],[3]]=>[6,3,4,1,2,5,7]=>[2,5,4,1,6,3,7]
[[1,1,2,3],[2,3],[3]]=>[5,3,6,1,2,4,7]=>[2,4,5,6,3,1,7]
[[1,1,3,3],[2,2],[3]]=>[5,3,4,1,2,6,7]=>[2,5,4,1,3,6,7]
[[1,1,3,3],[2,3],[3]]=>[4,3,5,1,2,6,7]=>[2,5,4,3,1,6,7]
[[1,2,2,2],[2,3],[3]]=>[6,2,7,1,3,4,5]=>[3,6,4,5,7,2,1]
[[1,2,2,3],[2,3],[3]]=>[5,2,6,1,3,4,7]=>[3,5,4,6,2,1,7]
[[1,2,3,3],[2,3],[3]]=>[4,2,5,1,3,6,7]=>[3,4,5,2,1,6,7]
[[1,1,1],[2,2,2],[3]]=>[7,4,5,6,1,2,3]=>[2,3,7,5,6,1,4]
[[1,1,1],[2,2,3],[3]]=>[6,4,5,7,1,2,3]=>[2,3,7,5,6,4,1]
[[1,1,1],[2,3,3],[3]]=>[5,4,6,7,1,2,3]=>[2,3,7,5,4,6,1]
[[1,1,2],[2,2,3],[3]]=>[6,3,4,7,1,2,5]=>[2,5,4,6,7,3,1]
[[1,1,2],[2,3,3],[3]]=>[5,3,6,7,1,2,4]=>[2,4,5,7,3,6,1]
[[1,2,2],[2,3,3],[3]]=>[5,2,6,7,1,3,4]=>[3,5,4,7,2,6,1]
[[1,1,1],[2,2],[3,3]]=>[6,7,4,5,1,2,3]=>[2,3,7,5,1,6,4]
[[1,1,2],[2,2],[3,3]]=>[6,7,3,4,1,2,5]=>[2,5,4,1,7,6,3]
[[1,1,3],[2,2],[3,3]]=>[5,6,3,4,1,2,7]=>[2,6,4,1,5,3,7]
[[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]=>[2,3,4,5,6,7,8,1]
[[1,1,1,1,1,1,2],[2]]=>[7,1,2,3,4,5,6,8]=>[2,3,4,5,6,7,1,8]
[[1,1,1,1,1,2,2],[2]]=>[6,1,2,3,4,5,7,8]=>[2,3,4,5,6,1,7,8]
[[1,1,1,1,2,2,2],[2]]=>[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]
[[1,1,1,2,2,2,2],[2]]=>[4,1,2,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[[1,1,2,2,2,2,2],[2]]=>[3,1,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]
[[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]=>[2,3,4,5,6,8,7,1]
[[1,1,1,1,1,2],[2,2]]=>[6,7,1,2,3,4,5,8]=>[2,3,4,5,7,6,1,8]
[[1,1,1,1,2,2],[2,2]]=>[5,6,1,2,3,4,7,8]=>[2,3,4,6,5,1,7,8]
[[1,1,1,2,2,2],[2,2]]=>[4,5,1,2,3,6,7,8]=>[2,3,5,4,1,6,7,8]
[[1,1,2,2,2,2],[2,2]]=>[3,4,1,2,5,6,7,8]=>[2,4,3,1,5,6,7,8]
[[1,1,1,1,1],[2,2,2]]=>[6,7,8,1,2,3,4,5]=>[2,3,4,5,8,6,7,1]
[[1,1,1,1,2],[2,2,2]]=>[5,6,7,1,2,3,4,8]=>[2,3,4,7,5,6,1,8]
[[1,1,1,2,2],[2,2,2]]=>[4,5,6,1,2,3,7,8]=>[2,3,6,4,5,1,7,8]
[[1,1,1,1],[2,2,2,2]]=>[5,6,7,8,1,2,3,4]=>[2,3,4,8,5,6,7,1]
[[1]]=>[1]=>[1]
[[1,1,1,1],[2,2,2],[3,3],[4]]=>[10,8,9,5,6,7,1,2,3,4]=>[2,3,4,10,6,7,1,9,5,8]
[[1,1,1,2],[2,2,2],[3,3],[4]]=>[10,8,9,4,5,6,1,2,3,7]=>[2,3,7,5,6,1,10,9,4,8]
[[1,1,1,1],[2,2,3],[3,3],[4]]=>[10,7,8,5,6,9,1,2,3,4]=>[2,3,4,10,6,9,8,5,1,7]
[[1,1,1,2],[2,2,3],[3,3],[4]]=>[10,7,8,4,5,9,1,2,3,6]=>[2,3,6,5,9,10,8,4,1,7]
[[1,1,1,3],[2,2,3],[3,3],[4]]=>[10,6,7,4,5,8,1,2,3,9]=>[2,3,9,5,8,7,4,1,10,6]
[[1,1,2,2],[2,2,3],[3,3],[4]]=>[10,7,8,3,4,9,1,2,5,6]=>[2,5,4,9,6,10,8,3,1,7]
[[1,1,2,3],[2,2,3],[3,3],[4]]=>[10,6,7,3,4,8,1,2,5,9]=>[2,5,4,8,9,7,3,1,10,6]
[[1,1,1,1],[2,2,2],[3,4],[4]]=>[9,8,10,5,6,7,1,2,3,4]=>[2,3,4,10,6,7,1,9,8,5]
[[1,1,1,2],[2,2,2],[3,4],[4]]=>[9,8,10,4,5,6,1,2,3,7]=>[2,3,7,5,6,1,10,9,8,4]
[[1,1,1,1],[2,2,3],[3,4],[4]]=>[9,7,10,5,6,8,1,2,3,4]=>[2,3,4,10,6,8,9,1,7,5]
[[1,1,1,2],[2,2,3],[3,4],[4]]=>[9,7,10,4,5,8,1,2,3,6]=>[2,3,6,5,8,10,9,1,7,4]
[[1,1,1,3],[2,2,3],[3,4],[4]]=>[9,6,10,4,5,7,1,2,3,8]=>[2,3,8,5,7,9,1,10,6,4]
[[1,1,2,2],[2,2,3],[3,4],[4]]=>[9,7,10,3,4,8,1,2,5,6]=>[2,5,4,8,6,10,9,1,7,3]
[[1,1,2,3],[2,2,3],[3,4],[4]]=>[9,6,10,3,4,7,1,2,5,8]=>[2,5,4,7,8,9,1,10,6,3]
[[1,1,1,1],[2,2,4],[3,4],[4]]=>[8,7,9,5,6,10,1,2,3,4]=>[2,3,4,10,6,9,8,7,5,1]
[[1,1,1,2],[2,2,4],[3,4],[4]]=>[8,7,9,4,5,10,1,2,3,6]=>[2,3,6,5,9,10,8,7,4,1]
[[1,1,1,3],[2,2,4],[3,4],[4]]=>[8,6,9,4,5,10,1,2,3,7]=>[2,3,7,5,9,8,10,6,4,1]
[[1,1,1,4],[2,2,4],[3,4],[4]]=>[7,6,8,4,5,9,1,2,3,10]=>[2,3,9,5,8,7,6,4,1,10]
[[1,1,2,2],[2,2,4],[3,4],[4]]=>[8,7,9,3,4,10,1,2,5,6]=>[2,5,4,9,6,10,8,7,3,1]
[[1,1,2,3],[2,2,4],[3,4],[4]]=>[8,6,9,3,4,10,1,2,5,7]=>[2,5,4,9,7,8,10,6,3,1]
[[1,1,2,4],[2,2,4],[3,4],[4]]=>[7,6,8,3,4,9,1,2,5,10]=>[2,5,4,8,9,7,6,3,1,10]
[[1,1,1,1],[2,3,3],[3,4],[4]]=>[9,6,10,5,7,8,1,2,3,4]=>[2,3,4,10,7,9,8,1,6,5]
[[1,1,1,2],[2,3,3],[3,4],[4]]=>[9,6,10,4,7,8,1,2,3,5]=>[2,3,5,7,10,9,8,1,6,4]
[[1,1,1,3],[2,3,3],[3,4],[4]]=>[9,5,10,4,6,7,1,2,3,8]=>[2,3,8,6,9,7,1,10,5,4]
[[1,1,2,2],[2,3,3],[3,4],[4]]=>[9,6,10,3,7,8,1,2,4,5]=>[2,4,7,5,10,9,8,1,6,3]
[[1,1,2,3],[2,3,3],[3,4],[4]]=>[9,5,10,3,6,7,1,2,4,8]=>[2,4,6,8,9,7,1,10,5,3]
[[1,1,1,1],[2,3,4],[3,4],[4]]=>[8,6,9,5,7,10,1,2,3,4]=>[2,3,4,10,7,8,9,6,5,1]
[[1,1,1,2],[2,3,4],[3,4],[4]]=>[8,6,9,4,7,10,1,2,3,5]=>[2,3,5,7,10,8,9,6,4,1]
[[1,1,1,3],[2,3,4],[3,4],[4]]=>[8,5,9,4,6,10,1,2,3,7]=>[2,3,7,6,8,9,10,5,4,1]
[[1,1,1,4],[2,3,4],[3,4],[4]]=>[7,5,8,4,6,9,1,2,3,10]=>[2,3,9,6,7,8,5,4,1,10]
[[1,1,2,2],[2,3,4],[3,4],[4]]=>[8,6,9,3,7,10,1,2,4,5]=>[2,4,7,5,10,8,9,6,3,1]
[[1,1,2,3],[2,3,4],[3,4],[4]]=>[8,5,9,3,6,10,1,2,4,7]=>[2,4,6,7,8,9,10,5,3,1]
[[1,1,2,4],[2,3,4],[3,4],[4]]=>[7,5,8,3,6,9,1,2,4,10]=>[2,4,6,9,7,8,5,3,1,10]
[[1,1,3,3],[2,3,4],[3,4],[4]]=>[8,4,9,3,5,10,1,2,6,7]=>[2,6,5,8,9,7,10,4,3,1]
[[1,1,3,4],[2,3,4],[3,4],[4]]=>[7,4,8,3,5,9,1,2,6,10]=>[2,6,5,7,8,9,4,3,1,10]
[[1,2,2,2],[2,3,3],[3,4],[4]]=>[9,6,10,2,7,8,1,3,4,5]=>[3,7,4,5,10,9,8,1,6,2]
[[1,2,2,3],[2,3,3],[3,4],[4]]=>[9,5,10,2,6,7,1,3,4,8]=>[3,6,4,8,9,7,1,10,5,2]
[[1,2,2,2],[2,3,4],[3,4],[4]]=>[8,6,9,2,7,10,1,3,4,5]=>[3,7,4,5,10,8,9,6,2,1]
[[1,2,2,3],[2,3,4],[3,4],[4]]=>[8,5,9,2,6,10,1,3,4,7]=>[3,6,4,7,8,9,10,5,2,1]
[[1,2,2,4],[2,3,4],[3,4],[4]]=>[7,5,8,2,6,9,1,3,4,10]=>[3,6,4,9,7,8,5,2,1,10]
[[1,2,3,3],[2,3,4],[3,4],[4]]=>[8,4,9,2,5,10,1,3,6,7]=>[3,5,6,8,9,7,10,4,2,1]
[[1,2,3,4],[2,3,4],[3,4],[4]]=>[7,4,8,2,5,9,1,3,6,10]=>[3,5,6,7,8,9,4,2,1,10]
[[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]=>[2,3,4,5,15,7,8,9,1,11,12,6,14,10,13]
[[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]=>[2,3,4,9,6,7,8,1,15,11,12,5,14,10,13]
[[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]=>[2,3,4,5,15,7,8,12,10,11,6,1,14,9,13]
[[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]=>[2,3,4,8,6,7,12,15,10,11,5,1,14,9,13]
[[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]=>[2,3,4,12,6,7,11,9,10,5,1,15,14,8,13]
[[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]=>[2,3,7,5,6,12,8,15,10,11,4,1,14,9,13]
[[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]=>[2,3,7,5,6,11,12,9,10,4,1,15,14,8,13]
[[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]=>[2,3,4,5,15,7,8,9,1,11,14,13,10,6,12]
[[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]=>[2,3,4,9,6,7,8,1,15,11,14,13,10,5,12]
[[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]=>[2,3,4,5,15,7,8,11,10,14,1,13,9,6,12]
[[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]=>[2,3,4,8,6,7,11,15,10,14,1,13,9,5,12]
[[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]=>[2,3,4,11,6,7,10,9,14,1,15,13,8,5,12]
[[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]=>[2,3,7,5,6,10,11,9,14,1,15,13,8,4,12]
[[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]=>[2,3,4,5,15,7,8,14,10,13,12,9,6,1,11]
[[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]=>[2,3,4,8,6,7,14,15,10,13,12,9,5,1,11]
[[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]=>[2,3,4,10,6,7,14,9,13,15,12,8,5,1,11]
[[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]=>[2,3,4,14,6,7,13,9,12,11,8,5,1,15,10]
[[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]=>[2,3,7,5,6,14,8,15,10,13,12,9,4,1,11]
[[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]=>[2,3,7,5,6,13,14,9,12,11,8,4,1,15,10]
[[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]=>[2,3,4,5,15,7,10,9,14,11,1,13,8,6,12]
[[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]=>[2,3,4,11,6,9,8,14,10,1,15,13,7,5,12]
[[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]=>[2,3,4,5,15,7,10,9,13,14,12,8,6,1,11]
[[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]=>[2,3,4,7,6,10,15,9,13,14,12,8,5,1,11]
[[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]=>[2,3,4,14,6,9,8,12,13,11,7,5,1,15,10]
[[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]=>[2,3,6,5,9,10,8,13,14,15,12,7,4,1,11]
[[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]=>[2,3,9,5,8,7,13,14,10,15,12,6,4,1,11]
[[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]=>[2,3,9,5,8,7,12,13,14,11,6,4,1,15,10]
[[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]=>[2,5,4,10,6,7,15,9,14,11,1,13,8,3,12]
[[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]=>[2,5,4,9,6,11,8,14,10,1,15,13,7,3,12]
[[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]=>[2,5,4,10,6,7,15,9,13,14,12,8,3,1,11]
[[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]=>[2,5,4,9,6,14,8,12,13,11,7,3,1,15,10]
[[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]=>[2,5,4,8,9,7,13,14,10,15,12,6,3,1,11]
[[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]=>[2,5,4,8,9,7,12,13,14,11,6,3,1,15,10]
[[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]=>[2,3,4,5,15,7,8,9,1,11,12,6,14,13,10]
[[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]=>[2,3,4,9,6,7,8,1,15,11,12,5,14,13,10]
[[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]=>[2,3,4,5,15,7,8,12,10,11,6,1,14,13,9]
[[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]=>[2,3,4,8,6,7,12,15,10,11,5,1,14,13,9]
[[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]=>[2,3,4,12,6,7,11,9,10,5,1,15,14,13,8]
[[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]=>[2,3,7,5,6,12,8,15,10,11,4,1,14,13,9]
[[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]=>[2,3,7,5,6,11,12,9,10,4,1,15,14,13,8]
[[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]=>[2,3,4,5,15,7,8,9,1,11,13,14,6,12,10]
[[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]=>[2,3,4,9,6,7,8,1,15,11,13,14,5,12,10]
[[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]=>[2,3,4,5,15,7,8,11,10,13,1,14,6,12,9]
[[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]=>[2,3,4,8,6,7,11,15,10,13,1,14,5,12,9]
[[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]=>[2,3,4,11,6,7,10,9,13,1,15,14,5,12,8]
[[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]=>[2,3,7,5,6,10,11,9,13,1,15,14,4,12,8]
[[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]=>[2,3,4,5,15,7,8,13,10,12,14,6,1,11,9]
[[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]=>[2,3,4,8,6,7,13,15,10,12,14,5,1,11,9]
[[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]=>[2,3,4,10,6,7,13,9,12,15,14,5,1,11,8]
[[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]=>[2,3,4,13,6,7,12,9,11,14,5,1,15,10,8]
[[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]=>[2,3,4,5,15,7,10,9,12,13,14,6,1,11,8]
[[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]=>[2,3,4,7,6,10,15,9,12,13,14,5,1,11,8]
[[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]=>[2,3,6,5,9,10,8,12,13,15,14,4,1,11,7]
[[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]=>[2,5,4,8,9,7,11,12,13,14,3,1,15,10,6]
[[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]=>[2,3,4,5,15,7,8,9,1,11,14,13,12,10,6]
[[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]=>[2,3,4,9,6,7,8,1,15,11,14,13,12,10,5]
[[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]=>[2,3,4,5,15,7,8,11,10,14,1,13,12,9,6]
[[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]=>[2,3,4,8,6,7,11,15,10,14,1,13,12,9,5]
[[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]=>[2,3,4,11,6,7,10,9,14,1,15,13,12,8,5]
[[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]=>[2,3,4,5,15,7,8,12,10,14,13,1,11,9,6]
[[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]=>[2,3,4,8,6,7,12,15,10,14,13,1,11,9,5]
[[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]=>[2,3,4,10,6,7,12,9,14,15,13,1,11,8,5]
[[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]=>[2,3,4,12,6,7,11,9,14,13,1,15,10,8,5]
[[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]=>[2,3,4,5,15,7,8,14,10,13,12,11,9,6,1]
[[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]=>[2,3,4,8,6,7,14,15,10,13,12,11,9,5,1]
[[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]=>[2,3,4,10,6,7,14,9,13,15,12,11,8,5,1]
[[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]=>[2,3,4,11,6,7,14,9,13,12,15,10,8,5,1]
[[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]=>[2,3,4,14,6,7,13,9,12,11,10,8,5,1,15]
[[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]=>[2,3,7,5,6,14,8,15,10,13,12,11,9,4,1]
[[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]=>[2,3,7,5,6,13,14,9,12,11,10,8,4,1,15]
[[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]=>[2,3,4,5,15,7,10,9,14,11,1,13,12,8,6]
[[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]=>[2,3,4,11,6,9,8,14,10,1,15,13,12,7,5]
[[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]=>[2,3,4,5,15,7,10,9,13,14,12,11,8,6,1]
[[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]=>[2,3,4,14,6,9,8,12,13,11,10,7,5,1,15]
[[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]=>[2,3,9,5,8,7,13,14,10,15,12,11,6,4,1]
[[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]=>[2,3,9,5,8,7,12,13,14,11,10,6,4,1,15]
[[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]=>[2,5,4,10,6,7,15,9,14,11,1,13,12,8,3]
[[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]=>[2,5,4,9,6,11,8,14,10,1,15,13,12,7,3]
[[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]=>[2,5,4,10,6,7,15,9,13,14,12,11,8,3,1]
[[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]=>[2,5,4,9,6,14,8,12,13,11,10,7,3,1,15]
[[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]=>[2,5,4,8,9,7,13,14,10,15,12,11,6,3,1]
[[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]=>[2,5,4,8,9,7,12,13,14,11,10,6,3,1,15]
[[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]=>[2,3,4,5,15,7,8,9,1,12,14,13,6,11,10]
[[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]=>[2,3,4,9,6,7,8,1,15,12,14,13,5,11,10]
[[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]=>[2,3,4,5,15,7,8,13,11,14,12,6,1,10,9]
[[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]=>[2,3,4,13,6,7,12,10,14,11,5,1,15,9,8]
[[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]=>[2,3,7,5,6,13,8,15,11,14,12,4,1,10,9]
[[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]=>[2,3,7,5,6,12,13,10,14,11,4,1,15,9,8]
[[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]=>[2,3,4,5,15,7,8,9,1,12,13,14,11,10,6]
[[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]=>[2,3,4,9,6,7,8,1,15,12,13,14,11,10,5]
[[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]=>[2,3,4,5,15,7,8,10,12,1,13,14,11,9,6]
[[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]=>[2,3,4,8,6,7,10,15,12,1,13,14,11,9,5]
[[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]=>[2,3,7,5,6,9,10,12,1,15,13,14,11,8,4]
[[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]=>[2,3,4,5,15,7,8,14,11,12,13,10,9,6,1]
[[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]=>[2,3,4,14,6,7,13,10,11,12,9,8,5,1,15]
[[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]=>[2,3,7,5,6,14,8,15,11,12,13,10,9,4,1]
[[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]=>[2,3,7,5,6,13,14,10,11,12,9,8,4,1,15]
[[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]=>[2,3,4,5,15,7,9,11,12,13,14,1,10,8,6]
[[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]=>[2,3,4,7,6,9,15,11,12,13,14,1,10,8,5]
[[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]=>[2,3,6,5,8,9,11,12,15,13,14,1,10,7,4]
[[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]=>[2,5,4,7,8,10,11,12,13,14,1,15,9,6,3]
[[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]=>[2,3,4,5,15,7,11,10,13,14,12,1,9,8,6]
[[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]=>[2,3,4,12,6,10,9,13,14,11,1,15,8,7,5]
[[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]=>[2,3,4,5,15,7,11,10,12,13,14,9,8,6,1]
[[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]=>[2,3,4,14,6,10,9,11,12,13,8,7,5,1,15]
[[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]=>[2,3,10,5,9,8,12,13,14,11,15,7,6,4,1]
[[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]=>[2,3,10,5,9,8,11,12,13,14,7,6,4,1,15]
[[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]=>[2,5,4,11,6,7,15,10,13,14,12,1,9,8,3]
[[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]=>[2,5,4,10,6,12,9,13,14,11,1,15,8,7,3]
[[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]=>[2,5,4,11,6,7,15,10,12,13,14,9,8,3,1]
[[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]=>[2,5,4,10,6,14,9,11,12,13,8,7,3,1,15]
[[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]=>[2,5,4,9,10,8,12,13,14,11,15,7,6,3,1]
[[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]=>[2,5,4,9,10,8,11,12,13,14,7,6,3,1,15]
[[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]=>[2,3,4,5,15,8,12,9,10,1,14,13,6,11,7]
[[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]=>[2,3,4,10,7,12,8,9,1,15,14,13,5,11,6]
[[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]=>[2,3,4,5,15,8,11,9,13,14,12,6,1,10,7]
[[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]=>[2,3,4,13,7,10,8,12,14,11,5,1,15,9,6]
[[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]=>[2,3,8,6,11,7,13,9,15,14,12,4,1,10,5]
[[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]=>[2,3,8,6,10,7,12,13,14,11,4,1,15,9,5]
[[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]=>[2,3,4,5,15,8,12,9,10,1,13,14,11,7,6]
[[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]=>[2,3,4,10,7,12,8,9,1,15,13,14,11,6,5]
[[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]=>[2,3,4,5,15,8,11,9,14,12,13,10,7,6,1]
[[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]=>[2,3,4,14,7,10,8,13,11,12,9,6,5,1,15]
[[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]=>[2,3,8,6,11,7,14,9,15,12,13,10,5,4,1]
[[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]=>[2,3,8,6,10,7,13,14,11,12,9,5,4,1,15]
[[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]=>[2,3,4,5,15,8,10,11,13,14,12,1,9,7,6]
[[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]=>[2,3,4,12,7,9,10,13,14,11,1,15,8,6,5]
[[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]=>[2,3,4,5,15,8,10,11,12,13,14,9,7,6,1]
[[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]=>[2,3,4,6,8,15,10,11,12,13,14,9,7,5,1]
[[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]=>[2,3,4,14,7,9,10,11,12,13,8,6,5,1,15]
[[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]=>[2,3,5,7,8,10,11,15,12,13,14,9,6,4,1]
[[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]=>[2,3,10,6,8,9,12,13,14,11,15,7,5,4,1]
[[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]=>[2,3,10,6,8,9,11,12,13,14,7,5,4,1,15]
[[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]=>[2,4,6,7,9,10,11,12,13,14,15,8,5,3,1]
[[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]=>[2,6,5,10,11,7,8,15,13,14,12,1,9,4,3]
[[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]=>[2,6,5,9,10,7,12,13,14,11,1,15,8,4,3]
[[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]=>[2,6,5,10,11,7,8,15,12,13,14,9,4,3,1]
[[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]=>[2,6,5,9,10,7,14,11,12,13,8,4,3,1,15]
[[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]=>[2,6,5,8,9,10,12,13,14,11,15,7,4,3,1]
[[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]=>[2,6,5,8,9,10,11,12,13,14,7,4,3,1,15]
[[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]=>[3,8,4,5,6,15,12,9,10,1,14,13,2,11,7]
[[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]=>[3,7,4,5,10,12,8,9,1,15,14,13,2,11,6]
[[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]=>[3,8,4,5,6,15,11,9,13,14,12,2,1,10,7]
[[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]=>[3,7,4,5,13,10,8,12,14,11,2,1,15,9,6]
[[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]=>[3,6,4,8,11,7,13,9,15,14,12,2,1,10,5]
[[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]=>[3,6,4,8,10,7,12,13,14,11,2,1,15,9,5]
[[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]=>[3,8,4,5,6,15,12,9,10,1,13,14,11,7,2]
[[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]=>[3,7,4,5,10,12,8,9,1,15,13,14,11,6,2]
[[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]=>[3,8,4,5,6,15,11,9,14,12,13,10,7,2,1]
[[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]=>[3,7,4,5,14,10,8,13,11,12,9,6,2,1,15]
[[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]=>[3,6,4,8,11,7,14,9,15,12,13,10,5,2,1]
[[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]=>[3,6,4,8,10,7,13,14,11,12,9,5,2,1,15]
[[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]=>[3,8,4,5,6,15,10,11,13,14,12,1,9,7,2]
[[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]=>[3,7,4,5,12,9,10,13,14,11,1,15,8,6,2]
[[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]=>[3,8,4,5,6,15,10,11,12,13,14,9,7,2,1]
[[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]=>[3,7,4,5,14,9,10,11,12,13,8,6,2,1,15]
[[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]=>[3,6,4,10,8,9,12,13,14,11,15,7,5,2,1]
[[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]=>[3,6,4,10,8,9,11,12,13,14,7,5,2,1,15]
[[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]=>[3,5,6,10,11,7,8,15,13,14,12,1,9,4,2]
[[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]=>[3,5,6,9,10,7,12,13,14,11,1,15,8,4,2]
[[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]=>[3,5,6,10,11,7,8,15,12,13,14,9,4,2,1]
[[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]=>[3,5,6,9,10,7,14,11,12,13,8,4,2,1,15]
[[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]=>[3,5,6,8,9,10,12,13,14,11,15,7,4,2,1]
[[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]=>[3,5,6,8,9,10,11,12,13,14,7,4,2,1,15]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,15,7,17,18,12,20,16,19]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,15,6,17,18,12,20,16,19]
[[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]=>[2,3,4,5,6,21,8,9,10,15,12,13,14,7,1,17,18,11,20,16,19]
[[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]=>[2,3,4,5,10,7,8,9,15,21,12,13,14,6,1,17,18,11,20,16,19]
[[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]=>[2,3,4,5,15,7,8,9,14,11,12,13,6,1,21,17,18,10,20,16,19]
[[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]=>[2,3,4,9,6,7,8,14,15,11,12,13,5,1,21,17,18,10,20,16,19]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,18,16,17,12,7,20,15,19]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,18,16,17,12,6,20,15,19]
[[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]=>[2,3,4,5,6,21,8,9,10,14,12,13,18,1,16,17,11,7,20,15,19]
[[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]=>[2,3,4,5,10,7,8,9,14,21,12,13,18,1,16,17,11,6,20,15,19]
[[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]=>[2,3,4,5,14,7,8,9,13,11,12,18,1,21,16,17,10,6,20,15,19]
[[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]=>[2,3,4,9,6,7,8,13,14,11,12,18,1,21,16,17,10,5,20,15,19]
[[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]=>[2,3,4,5,6,21,8,9,10,18,12,13,17,15,16,11,7,1,20,14,19]
[[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]=>[2,3,4,5,10,7,8,9,18,21,12,13,17,15,16,11,6,1,20,14,19]
[[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]=>[2,3,4,5,13,7,8,9,18,11,12,17,21,15,16,10,6,1,20,14,19]
[[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]=>[2,3,4,5,18,7,8,9,17,11,12,16,14,15,10,6,1,21,20,13,19]
[[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]=>[2,3,4,5,6,21,8,9,13,11,12,17,18,15,16,10,7,1,20,14,19]
[[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]=>[2,3,4,5,9,7,8,13,21,11,12,17,18,15,16,10,6,1,20,14,19]
[[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]=>[2,3,4,8,6,7,12,13,10,11,17,18,21,15,16,9,5,1,20,14,19]
[[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]=>[2,3,7,5,6,11,12,9,10,16,17,18,14,15,8,4,1,21,20,13,19]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,15,7,17,20,19,16,12,18]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,15,6,17,20,19,16,12,18]
[[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]=>[2,3,4,5,6,21,8,9,10,15,12,13,14,7,1,17,20,19,16,11,18]
[[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]=>[2,3,4,5,10,7,8,9,15,21,12,13,14,6,1,17,20,19,16,11,18]
[[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]=>[2,3,4,5,15,7,8,9,14,11,12,13,6,1,21,17,20,19,16,10,18]
[[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]=>[2,3,4,9,6,7,8,14,15,11,12,13,5,1,21,17,20,19,16,10,18]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,17,16,20,7,19,15,12,18]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,17,16,20,6,19,15,12,18]
[[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]=>[2,3,4,5,6,21,8,9,10,14,12,13,17,1,16,20,7,19,15,11,18]
[[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]=>[2,3,4,5,10,7,8,9,14,21,12,13,17,1,16,20,6,19,15,11,18]
[[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]=>[2,3,4,5,14,7,8,9,13,11,12,17,1,21,16,20,6,19,15,10,18]
[[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]=>[2,3,4,9,6,7,8,13,14,11,12,17,1,21,16,20,5,19,15,10,18]
[[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]=>[2,3,4,5,6,21,8,9,10,17,12,13,16,15,20,7,1,19,14,11,18]
[[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]=>[2,3,4,5,10,7,8,9,17,21,12,13,16,15,20,6,1,19,14,11,18]
[[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]=>[2,3,4,5,13,7,8,9,17,11,12,16,21,15,20,6,1,19,14,10,18]
[[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]=>[2,3,4,5,17,7,8,9,16,11,12,15,14,20,6,1,21,19,13,10,18]
[[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]=>[2,3,4,5,6,21,8,9,13,11,12,16,17,15,20,7,1,19,14,10,18]
[[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]=>[2,3,4,5,9,7,8,13,21,11,12,16,17,15,20,6,1,19,14,10,18]
[[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]=>[2,3,4,8,6,7,12,13,10,11,16,17,21,15,20,5,1,19,14,9,18]
[[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]=>[2,3,7,5,6,11,12,9,10,15,16,17,14,20,4,1,21,19,13,8,18]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,20,16,19,18,15,12,7,17]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,20,16,19,18,15,12,6,17]
[[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]=>[2,3,4,5,6,21,8,9,10,14,12,13,20,1,16,19,18,15,11,7,17]
[[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]=>[2,3,4,5,10,7,8,9,14,21,12,13,20,1,16,19,18,15,11,6,17]
[[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]=>[2,3,4,5,14,7,8,9,13,11,12,20,1,21,16,19,18,15,10,6,17]
[[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]=>[2,3,4,5,6,21,8,9,10,16,12,13,20,15,19,1,18,14,11,7,17]
[[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]=>[2,3,4,5,10,7,8,9,16,21,12,13,20,15,19,1,18,14,11,6,17]
[[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]=>[2,3,4,5,13,7,8,9,16,11,12,20,21,15,19,1,18,14,10,6,17]
[[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]=>[2,3,4,5,16,7,8,9,15,11,12,20,14,19,1,21,18,13,10,6,17]
[[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]=>[2,3,4,5,6,21,8,9,10,20,12,13,19,15,18,17,14,11,7,1,16]
[[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]=>[2,3,4,5,10,7,8,9,20,21,12,13,19,15,18,17,14,11,6,1,16]
[[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]=>[2,3,4,5,13,7,8,9,20,11,12,19,21,15,18,17,14,10,6,1,16]
[[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]=>[2,3,4,5,15,7,8,9,20,11,12,19,14,18,21,17,13,10,6,1,16]
[[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]=>[2,3,4,5,20,7,8,9,19,11,12,18,14,17,16,13,10,6,1,21,15]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,16,15,19,20,18,14,12,7,17]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,16,15,19,20,18,14,12,6,17]
[[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]=>[2,3,4,5,6,21,8,9,10,13,12,16,1,15,19,20,18,14,11,7,17]
[[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]=>[2,3,4,5,10,7,8,9,13,21,12,16,1,15,19,20,18,14,11,6,17]
[[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]=>[2,3,4,9,6,7,8,12,13,11,16,1,21,15,19,20,18,14,10,5,17]
[[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]=>[2,3,4,5,6,21,8,9,12,11,15,16,14,19,20,1,18,13,10,7,17]
[[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]=>[2,3,4,5,9,7,8,12,21,11,15,16,14,19,20,1,18,13,10,6,17]
[[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]=>[2,3,4,8,6,7,11,12,10,15,16,21,14,19,20,1,18,13,9,5,17]
[[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]=>[2,3,7,5,6,10,11,9,14,15,16,13,19,20,1,21,18,12,8,4,17]
[[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]=>[2,3,4,5,6,21,8,11,10,14,15,13,18,19,20,17,12,9,7,1,16]
[[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]=>[2,3,4,5,8,7,11,21,10,14,15,13,18,19,20,17,12,9,6,1,16]
[[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]=>[2,3,4,7,6,10,11,9,14,15,21,13,18,19,20,17,12,8,5,1,16]
[[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]=>[2,3,6,5,9,10,8,13,14,15,12,18,19,20,21,17,11,7,4,1,16]
[[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]=>[2,5,4,8,9,7,12,13,14,11,17,18,19,20,16,10,6,3,1,21,15]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,15,7,17,18,12,20,19,16]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,15,6,17,18,12,20,19,16]
[[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]=>[2,3,4,5,6,21,8,9,10,15,12,13,14,7,1,17,18,11,20,19,16]
[[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]=>[2,3,4,5,10,7,8,9,15,21,12,13,14,6,1,17,18,11,20,19,16]
[[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]=>[2,3,4,5,15,7,8,9,14,11,12,13,6,1,21,17,18,10,20,19,16]
[[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]=>[2,3,4,9,6,7,8,14,15,11,12,13,5,1,21,17,18,10,20,19,16]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,18,16,17,12,7,20,19,15]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,18,16,17,12,6,20,19,15]
[[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]=>[2,3,4,5,6,21,8,9,10,14,12,13,18,1,16,17,11,7,20,19,15]
[[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]=>[2,3,4,5,10,7,8,9,14,21,12,13,18,1,16,17,11,6,20,19,15]
[[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]=>[2,3,4,5,14,7,8,9,13,11,12,18,1,21,16,17,10,6,20,19,15]
[[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]=>[2,3,4,9,6,7,8,13,14,11,12,18,1,21,16,17,10,5,20,19,15]
[[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]=>[2,3,4,5,6,21,8,9,10,18,12,13,17,15,16,11,7,1,20,19,14]
[[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]=>[2,3,4,5,10,7,8,9,18,21,12,13,17,15,16,11,6,1,20,19,14]
[[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]=>[2,3,4,5,13,7,8,9,18,11,12,17,21,15,16,10,6,1,20,19,14]
[[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]=>[2,3,4,5,18,7,8,9,17,11,12,16,14,15,10,6,1,21,20,19,13]
[[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]=>[2,3,4,5,6,21,8,9,13,11,12,17,18,15,16,10,7,1,20,19,14]
[[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]=>[2,3,4,5,9,7,8,13,21,11,12,17,18,15,16,10,6,1,20,19,14]
[[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]=>[2,3,4,8,6,7,12,13,10,11,17,18,21,15,16,9,5,1,20,19,14]
[[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]=>[2,3,7,5,6,11,12,9,10,16,17,18,14,15,8,4,1,21,20,19,13]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,15,7,17,19,20,12,18,16]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,15,6,17,19,20,12,18,16]
[[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]=>[2,3,4,5,6,21,8,9,10,15,12,13,14,7,1,17,19,20,11,18,16]
[[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]=>[2,3,4,5,10,7,8,9,15,21,12,13,14,6,1,17,19,20,11,18,16]
[[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]=>[2,3,4,5,15,7,8,9,14,11,12,13,6,1,21,17,19,20,10,18,16]
[[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]=>[2,3,4,9,6,7,8,14,15,11,12,13,5,1,21,17,19,20,10,18,16]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,17,16,19,7,20,12,18,15]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,17,16,19,6,20,12,18,15]
[[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]=>[2,3,4,5,6,21,8,9,10,14,12,13,17,1,16,19,7,20,11,18,15]
[[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]=>[2,3,4,5,10,7,8,9,14,21,12,13,17,1,16,19,6,20,11,18,15]
[[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]=>[2,3,4,5,14,7,8,9,13,11,12,17,1,21,16,19,6,20,10,18,15]
[[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]=>[2,3,4,9,6,7,8,13,14,11,12,17,1,21,16,19,5,20,10,18,15]
[[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]=>[2,3,4,5,6,21,8,9,10,17,12,13,16,15,19,7,1,20,11,18,14]
[[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]=>[2,3,4,5,10,7,8,9,17,21,12,13,16,15,19,6,1,20,11,18,14]
[[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]=>[2,3,4,5,13,7,8,9,17,11,12,16,21,15,19,6,1,20,10,18,14]
[[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]=>[2,3,4,5,17,7,8,9,16,11,12,15,14,19,6,1,21,20,10,18,13]
[[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]=>[2,3,4,5,6,21,8,9,13,11,12,16,17,15,19,7,1,20,10,18,14]
[[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]=>[2,3,4,5,9,7,8,13,21,11,12,16,17,15,19,6,1,20,10,18,14]
[[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]=>[2,3,4,8,6,7,12,13,10,11,16,17,21,15,19,5,1,20,9,18,14]
[[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]=>[2,3,7,5,6,11,12,9,10,15,16,17,14,19,4,1,21,20,8,18,13]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,19,16,18,20,12,7,17,15]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,19,16,18,20,12,6,17,15]
[[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]=>[2,3,4,5,6,21,8,9,10,14,12,13,19,1,16,18,20,11,7,17,15]
[[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]=>[2,3,4,5,10,7,8,9,14,21,12,13,19,1,16,18,20,11,6,17,15]
[[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]=>[2,3,4,5,14,7,8,9,13,11,12,19,1,21,16,18,20,10,6,17,15]
[[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]=>[2,3,4,5,6,21,8,9,10,16,12,13,19,15,18,1,20,11,7,17,14]
[[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]=>[2,3,4,5,10,7,8,9,16,21,12,13,19,15,18,1,20,11,6,17,14]
[[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]=>[2,3,4,5,13,7,8,9,16,11,12,19,21,15,18,1,20,10,6,17,14]
[[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]=>[2,3,4,5,16,7,8,9,15,11,12,19,14,18,1,21,20,10,6,17,13]
[[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]=>[2,3,4,5,6,21,8,9,10,19,12,13,18,15,17,20,11,7,1,16,14]
[[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]=>[2,3,4,5,10,7,8,9,19,21,12,13,18,15,17,20,11,6,1,16,14]
[[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]=>[2,3,4,5,13,7,8,9,19,11,12,18,21,15,17,20,10,6,1,16,14]
[[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]=>[2,3,4,5,15,7,8,9,19,11,12,18,14,17,21,20,10,6,1,16,13]
[[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]=>[2,3,4,5,19,7,8,9,18,11,12,17,14,16,20,10,6,1,21,15,13]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,16,15,18,19,20,12,7,17,14]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,16,15,18,19,20,12,6,17,14]
[[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]=>[2,3,4,5,6,21,8,9,10,13,12,16,1,15,18,19,20,11,7,17,14]
[[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]=>[2,3,4,5,10,7,8,9,13,21,12,16,1,15,18,19,20,11,6,17,14]
[[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]=>[2,3,4,9,6,7,8,12,13,11,16,1,21,15,18,19,20,10,5,17,14]
[[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]=>[2,3,4,5,6,21,8,9,12,11,15,16,14,18,19,1,20,10,7,17,13]
[[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]=>[2,3,4,5,9,7,8,12,21,11,15,16,14,18,19,1,20,10,6,17,13]
[[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]=>[2,3,4,8,6,7,11,12,10,15,16,21,14,18,19,1,20,9,5,17,13]
[[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]=>[2,3,7,5,6,10,11,9,14,15,16,13,18,19,1,21,20,8,4,17,12]
[[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]=>[2,3,4,5,6,21,8,11,10,14,15,13,17,18,19,20,9,7,1,16,12]
[[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]=>[2,3,4,5,8,7,11,21,10,14,15,13,17,18,19,20,9,6,1,16,12]
[[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]=>[2,3,4,7,6,10,11,9,14,15,21,13,17,18,19,20,8,5,1,16,12]
[[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]=>[2,3,6,5,9,10,8,13,14,15,12,17,18,19,21,20,7,4,1,16,11]
[[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]=>[2,5,4,8,9,7,12,13,14,11,16,17,18,19,20,6,3,1,21,15,10]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,15,7,17,20,19,18,16,12]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,15,6,17,20,19,18,16,12]
[[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]=>[2,3,4,5,6,21,8,9,10,15,12,13,14,7,1,17,20,19,18,16,11]
[[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]=>[2,3,4,5,10,7,8,9,15,21,12,13,14,6,1,17,20,19,18,16,11]
[[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]=>[2,3,4,5,15,7,8,9,14,11,12,13,6,1,21,17,20,19,18,16,10]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,17,16,20,7,19,18,15,12]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,17,16,20,6,19,18,15,12]
[[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]=>[2,3,4,5,6,21,8,9,10,14,12,13,17,1,16,20,7,19,18,15,11]
[[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]=>[2,3,4,5,10,7,8,9,14,21,12,13,17,1,16,20,6,19,18,15,11]
[[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]=>[2,3,4,5,14,7,8,9,13,11,12,17,1,21,16,20,6,19,18,15,10]
[[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]=>[2,3,4,5,6,21,8,9,10,17,12,13,16,15,20,7,1,19,18,14,11]
[[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]=>[2,3,4,5,10,7,8,9,17,21,12,13,16,15,20,6,1,19,18,14,11]
[[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]=>[2,3,4,5,13,7,8,9,17,11,12,16,21,15,20,6,1,19,18,14,10]
[[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]=>[2,3,4,5,17,7,8,9,16,11,12,15,14,20,6,1,21,19,18,13,10]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,18,16,20,19,7,17,15,12]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,18,16,20,19,6,17,15,12]
[[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]=>[2,3,4,5,6,21,8,9,10,14,12,13,18,1,16,20,19,7,17,15,11]
[[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]=>[2,3,4,5,10,7,8,9,14,21,12,13,18,1,16,20,19,6,17,15,11]
[[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]=>[2,3,4,5,14,7,8,9,13,11,12,18,1,21,16,20,19,6,17,15,10]
[[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]=>[2,3,4,5,6,21,8,9,10,16,12,13,18,15,20,1,19,7,17,14,11]
[[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]=>[2,3,4,5,10,7,8,9,16,21,12,13,18,15,20,1,19,6,17,14,11]
[[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]=>[2,3,4,5,13,7,8,9,16,11,12,18,21,15,20,1,19,6,17,14,10]
[[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]=>[2,3,4,5,16,7,8,9,15,11,12,18,14,20,1,21,19,6,17,13,10]
[[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]=>[2,3,4,5,6,21,8,9,10,18,12,13,17,15,20,19,7,1,16,14,11]
[[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]=>[2,3,4,5,10,7,8,9,18,21,12,13,17,15,20,19,6,1,16,14,11]
[[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]=>[2,3,4,5,13,7,8,9,18,11,12,17,21,15,20,19,6,1,16,14,10]
[[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]=>[2,3,4,5,15,7,8,9,18,11,12,17,14,20,21,19,6,1,16,13,10]
[[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]=>[2,3,4,5,18,7,8,9,17,11,12,16,14,20,19,6,1,21,15,13,10]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,20,16,19,18,17,15,12,7]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,20,16,19,18,17,15,12,6]
[[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]=>[2,3,4,5,6,21,8,9,10,14,12,13,20,1,16,19,18,17,15,11,7]
[[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]=>[2,3,4,5,10,7,8,9,14,21,12,13,20,1,16,19,18,17,15,11,6]
[[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]=>[2,3,4,5,14,7,8,9,13,11,12,20,1,21,16,19,18,17,15,10,6]
[[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]=>[2,3,4,5,6,21,8,9,10,16,12,13,20,15,19,1,18,17,14,11,7]
[[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]=>[2,3,4,5,10,7,8,9,16,21,12,13,20,15,19,1,18,17,14,11,6]
[[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]=>[2,3,4,5,13,7,8,9,16,11,12,20,21,15,19,1,18,17,14,10,6]
[[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]=>[2,3,4,5,16,7,8,9,15,11,12,20,14,19,1,21,18,17,13,10,6]
[[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]=>[2,3,4,5,6,21,8,9,10,17,12,13,20,15,19,18,1,16,14,11,7]
[[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]=>[2,3,4,5,10,7,8,9,17,21,12,13,20,15,19,18,1,16,14,11,6]
[[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]=>[2,3,4,5,13,7,8,9,17,11,12,20,21,15,19,18,1,16,14,10,6]
[[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]=>[2,3,4,5,15,7,8,9,17,11,12,20,14,19,21,18,1,16,13,10,6]
[[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]=>[2,3,4,5,17,7,8,9,16,11,12,20,14,19,18,1,21,15,13,10,6]
[[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]=>[2,3,4,5,6,21,8,9,10,20,12,13,19,15,18,17,16,14,11,7,1]
[[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]=>[2,3,4,5,10,7,8,9,20,21,12,13,19,15,18,17,16,14,11,6,1]
[[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]=>[2,3,4,5,13,7,8,9,20,11,12,19,21,15,18,17,16,14,10,6,1]
[[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]=>[2,3,4,5,15,7,8,9,20,11,12,19,14,18,21,17,16,13,10,6,1]
[[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]=>[2,3,4,5,16,7,8,9,20,11,12,19,14,18,17,21,15,13,10,6,1]
[[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]=>[2,3,4,5,20,7,8,9,19,11,12,18,14,17,16,15,13,10,6,1,21]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,15,7,18,19,20,17,16,12]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,15,6,18,19,20,17,16,12]
[[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]=>[2,3,4,5,6,21,8,9,10,15,12,13,14,7,1,18,19,20,17,16,11]
[[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]=>[2,3,4,5,10,7,8,9,15,21,12,13,14,6,1,18,19,20,17,16,11]
[[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]=>[2,3,4,9,6,7,8,14,15,11,12,13,5,1,21,18,19,20,17,16,10]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,14,16,18,7,19,20,17,15,12]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,14,16,18,6,19,20,17,15,12]
[[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]=>[2,3,4,5,6,21,8,9,10,14,12,13,16,1,18,7,19,20,17,15,11]
[[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]=>[2,3,4,5,10,7,8,9,14,21,12,13,16,1,18,6,19,20,17,15,11]
[[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]=>[2,3,4,9,6,7,8,13,14,11,12,16,1,21,18,5,19,20,17,15,10]
[[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]=>[2,3,4,5,6,21,8,9,13,11,12,15,16,18,7,1,19,20,17,14,10]
[[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]=>[2,3,4,5,9,7,8,13,21,11,12,15,16,18,6,1,19,20,17,14,10]
[[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]=>[2,3,4,8,6,7,12,13,10,11,15,16,21,18,5,1,19,20,17,14,9]
[[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]=>[2,3,7,5,6,11,12,9,10,14,15,16,18,4,1,21,19,20,17,13,8]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,13,15,17,18,19,20,7,16,14,12]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,13,15,17,18,19,20,6,16,14,12]
[[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]=>[2,3,4,5,6,21,8,9,10,13,12,15,1,17,18,19,20,7,16,14,11]
[[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]=>[2,3,4,5,10,7,8,9,13,21,12,15,1,17,18,19,20,6,16,14,11]
[[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]=>[2,3,4,9,6,7,8,12,13,11,15,1,21,17,18,19,20,5,16,14,10]
[[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]=>[2,3,4,5,6,21,8,9,12,11,14,15,17,18,1,19,20,7,16,13,10]
[[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]=>[2,3,4,5,9,7,8,12,21,11,14,15,17,18,1,19,20,6,16,13,10]
[[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]=>[2,3,4,8,6,7,11,12,10,14,15,21,17,18,1,19,20,5,16,13,9]
[[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]=>[2,3,7,5,6,10,11,9,13,14,15,17,18,1,21,19,20,4,16,12,8]
[[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]=>[2,3,4,5,6,21,8,11,10,13,14,16,17,18,19,20,7,1,15,12,9]
[[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]=>[2,3,4,5,8,7,11,21,10,13,14,16,17,18,19,20,6,1,15,12,9]
[[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]=>[2,3,4,7,6,10,11,9,13,14,21,16,17,18,19,20,5,1,15,12,8]
[[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]=>[2,3,6,5,9,10,8,12,13,14,16,17,18,21,19,20,4,1,15,11,7]
[[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]=>[2,5,4,8,9,7,11,12,13,15,16,17,18,19,20,3,1,21,14,10,6]
[[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]=>[2,3,4,5,6,21,8,9,10,11,1,14,16,17,18,19,20,15,13,12,7]
[[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]=>[2,3,4,5,11,7,8,9,10,1,21,14,16,17,18,19,20,15,13,12,6]
[[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]=>[2,3,4,5,6,21,8,9,10,12,14,1,16,17,18,19,20,15,13,11,7]
[[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]=>[2,3,4,5,10,7,8,9,12,21,14,1,16,17,18,19,20,15,13,11,6]
[[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]=>[2,3,4,9,6,7,8,11,12,14,1,21,16,17,18,19,20,15,13,10,5]
[[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]=>[2,3,4,5,6,21,8,9,11,13,14,16,17,1,18,19,20,15,12,10,7]
[[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]=>[2,3,4,5,9,7,8,11,21,13,14,16,17,1,18,19,20,15,12,10,6]
[[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]=>[2,3,4,8,6,7,10,11,13,14,21,16,17,1,18,19,20,15,12,9,5]
[[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]=>[2,3,7,5,6,9,10,12,13,14,16,17,1,21,18,19,20,15,11,8,4]
[[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]=>[2,3,4,5,6,21,8,10,12,13,15,16,17,18,19,20,1,14,11,9,7]
[[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]=>[2,3,4,5,8,7,10,21,12,13,15,16,17,18,19,20,1,14,11,9,6]
[[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]=>[2,3,4,7,6,9,10,12,13,21,15,16,17,18,19,20,1,14,11,8,5]
[[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]=>[2,3,6,5,8,9,11,12,13,15,16,17,21,18,19,20,1,14,10,7,4]
[[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]=>[2,5,4,7,8,10,11,12,14,15,16,17,18,19,20,1,21,13,9,6,3]
[[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]=>[2,3,4,5,6,21,9,11,12,14,15,16,17,18,19,20,13,10,8,7,1]
[[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]=>[2,3,4,5,7,9,21,11,12,14,15,16,17,18,19,20,13,10,8,6,1]
[[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]=>[2,3,4,6,8,9,11,12,21,14,15,16,17,18,19,20,13,10,7,5,1]
[[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]=>[2,3,5,7,8,10,11,12,14,15,16,21,17,18,19,20,13,9,6,4,1]
[[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]=>[2,4,6,7,9,10,11,13,14,15,16,17,18,19,20,21,12,8,5,3,1]
[[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]=>[3,5,6,8,9,10,12,13,14,15,16,17,18,19,20,11,7,4,2,1,21]
[[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]=>[2,3,4,5,6,1]
[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]
[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]
[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]
[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]
[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]
[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[2,3,6,1,4,5]
[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]
[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]
[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[2,4,5,6,1,3]
[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]
[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]
[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[2,4,1,6,3,5]
[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]
[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]
[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]
[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[2,5,4,3,6,1]
[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[2,5,1,3,6,4]
[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]
[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[2,4,5,6,3,1]
[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[2,5,1,3,4,6]
[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[2,6,1,3,4,5]
[[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]=>[3,2,4,5,6,1]
[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]
[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[3,5,4,6,1,2]
[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]
[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]
[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[3,4,5,1,6,2]
[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]
[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[3,4,5,1,2,6]
[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[3,4,6,1,2,5]
[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]
[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]
[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[3,1,4,6,2,5]
[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]
[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[3,4,5,2,6,1]
[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[3,1,5,2,6,4]
[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[3,5,4,6,2,1]
[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[3,1,5,2,4,6]
[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[3,1,6,2,4,5]
[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]
[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]
[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]
[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]
[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]
[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>[2,6,4,1,3,5]
[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]
[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[4,3,2,5,6,1]
[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[4,3,2,5,1,6]
[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[4,5,3,6,1,2]
[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[4,5,2,6,1,3]
[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[4,1,2,5,6,3]
[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[4,1,2,5,3,6]
[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[4,1,2,6,3,5]
[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]
[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]
[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[2,6,5,3,1,4]
[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[3,4,5,2,1,6]
[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[3,5,6,4,1,2]
[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[3,5,6,2,1,4]
[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[2,6,5,4,1,3]
[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[4,1,2,3,5,6]
[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[5,4,2,3,6,1]
[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[5,1,2,3,6,4]
[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[2,6,5,3,4,1]
[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[3,4,6,1,5,2]
[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[3,5,6,2,4,1]
[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]
[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[4,5,2,6,3,1]
[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[5,1,2,3,4,6]
[[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>[6,1,2,3,4,5]
[[1,1,1,1,2,2,2],[3,3],[4]]=>[10,8,9,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,9,1,8]
[[1,1,1,2,2,2,2],[3,3],[4]]=>[10,8,9,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,9,1,8]
[[1,1,1,1,2,2,3],[3,3],[4]]=>[10,7,8,1,2,3,4,5,6,9]=>[2,3,4,5,6,9,8,1,10,7]
[[1,1,1,2,2,2,3],[3,3],[4]]=>[10,7,8,1,2,3,4,5,6,9]=>[2,3,4,5,6,9,8,1,10,7]
[[1,1,1,2,2,3,3],[3,3],[4]]=>[10,6,7,1,2,3,4,5,8,9]=>[2,3,4,5,8,7,1,9,10,6]
[[1,1,2,2,2,2,3],[3,3],[4]]=>[10,7,8,1,2,3,4,5,6,9]=>[2,3,4,5,6,9,8,1,10,7]
[[1,1,2,2,2,3,3],[3,3],[4]]=>[10,6,7,1,2,3,4,5,8,9]=>[2,3,4,5,8,7,1,9,10,6]
[[1,1,1,1,2,2,2],[3,4],[4]]=>[9,8,10,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,9,8,1]
[[1,1,1,2,2,2,2],[3,4],[4]]=>[9,8,10,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,9,8,1]
[[1,1,1,1,2,2,3],[3,4],[4]]=>[9,7,10,1,2,3,4,5,6,8]=>[2,3,4,5,6,8,9,10,7,1]
[[1,1,1,2,2,2,3],[3,4],[4]]=>[9,7,10,1,2,3,4,5,6,8]=>[2,3,4,5,6,8,9,10,7,1]
[[1,1,1,2,2,3],[3,3,4],[4]]=>[9,6,7,10,1,2,3,4,5,8]=>[2,3,4,5,8,7,9,10,6,1]
[[1,1,2,2,2,2,3],[3,4],[4]]=>[9,7,10,1,2,3,4,5,6,8]=>[2,3,4,5,6,8,9,10,7,1]
[[1,1,2,2,2,3],[3,3,4],[4]]=>[9,6,7,10,1,2,3,4,5,8]=>[2,3,4,5,8,7,9,10,6,1]
[[1,1,1,1,2,2,4],[3,4],[4]]=>[8,7,9,1,2,3,4,5,6,10]=>[2,3,4,5,6,9,8,7,1,10]
[[1,1,1,2,2,2,4],[3,4],[4]]=>[8,7,9,1,2,3,4,5,6,10]=>[2,3,4,5,6,9,8,7,1,10]
[[1,1,1,2,2,4,4],[3,3],[4]]=>[8,6,7,1,2,3,4,5,9,10]=>[2,3,4,5,8,7,1,6,9,10]
[[1,1,1,2,2,4,4],[3,4],[4]]=>[7,6,8,1,2,3,4,5,9,10]=>[2,3,4,5,8,7,6,1,9,10]
[[1,1,2,2,2,2,4],[3,4],[4]]=>[8,7,9,1,2,3,4,5,6,10]=>[2,3,4,5,6,9,8,7,1,10]
[[1,1,2,2,2,4,4],[3,3],[4]]=>[8,6,7,1,2,3,4,5,9,10]=>[2,3,4,5,8,7,1,6,9,10]
[[1,1,2,2,2,4,4],[3,4],[4]]=>[7,6,8,1,2,3,4,5,9,10]=>[2,3,4,5,8,7,6,1,9,10]
[[1,1,1,1,2,3,3],[3,4],[4]]=>[9,6,10,1,2,3,4,5,7,8]=>[2,3,4,5,7,9,8,10,6,1]
[[1,1,1,2,2,3,3],[3,4],[4]]=>[9,6,10,1,2,3,4,5,7,8]=>[2,3,4,5,7,9,8,10,6,1]
[[1,1,1,2,3,3,3],[3,4],[4]]=>[9,5,10,1,2,3,4,6,7,8]=>[2,3,4,6,9,7,8,10,5,1]
[[1,1,2,2,2,3,3],[3,4],[4]]=>[9,6,10,1,2,3,4,5,7,8]=>[2,3,4,5,7,9,8,10,6,1]
[[1,1,2,2,3,3,3],[3,4],[4]]=>[9,5,10,1,2,3,4,6,7,8]=>[2,3,4,6,9,7,8,10,5,1]
[[1,1,1,1,2,3,4],[3,4],[4]]=>[8,6,9,1,2,3,4,5,7,10]=>[2,3,4,5,7,8,9,6,1,10]
[[1,1,1,2,2,3,4],[3,4],[4]]=>[8,6,9,1,2,3,4,5,7,10]=>[2,3,4,5,7,8,9,6,1,10]
[[1,1,1,2,3,3,4],[3,4],[4]]=>[8,5,9,1,2,3,4,6,7,10]=>[2,3,4,6,8,7,9,5,1,10]
[[1,1,1,2,3,4,4],[3,4],[4]]=>[7,5,8,1,2,3,4,6,9,10]=>[2,3,4,6,7,8,5,1,9,10]
[[1,1,2,2,2,3,4],[3,4],[4]]=>[8,6,9,1,2,3,4,5,7,10]=>[2,3,4,5,7,8,9,6,1,10]
[[1,1,2,2,3,3,4],[3,4],[4]]=>[8,5,9,1,2,3,4,6,7,10]=>[2,3,4,6,8,7,9,5,1,10]
[[1,1,2,2,3,4,4],[3,4],[4]]=>[7,5,8,1,2,3,4,6,9,10]=>[2,3,4,6,7,8,5,1,9,10]
[[1,1,2,3,3,3,4],[3,4],[4]]=>[8,4,9,1,2,3,5,6,7,10]=>[2,3,5,8,6,7,9,4,1,10]
[[1,1,2,3,3,4,4],[3,4],[4]]=>[7,4,8,1,2,3,5,6,9,10]=>[2,3,5,7,6,8,4,1,9,10]
[[1,2,2,2,2,3,3],[3,4],[4]]=>[9,6,10,1,2,3,4,5,7,8]=>[2,3,4,5,7,9,8,10,6,1]
[[1,2,2,2,3,3,3],[3,4],[4]]=>[9,5,10,1,2,3,4,6,7,8]=>[2,3,4,6,9,7,8,10,5,1]
[[1,2,2,2,2,3,4],[3,4],[4]]=>[8,6,9,1,2,3,4,5,7,10]=>[2,3,4,5,7,8,9,6,1,10]
[[1,2,2,2,3,3,4],[3,4],[4]]=>[8,5,9,1,2,3,4,6,7,10]=>[2,3,4,6,8,7,9,5,1,10]
[[1,2,2,2,3,4,4],[3,4],[4]]=>[7,5,8,1,2,3,4,6,9,10]=>[2,3,4,6,7,8,5,1,9,10]
[[1,2,2,3,3,3,4],[3,4],[4]]=>[8,4,9,1,2,3,5,6,7,10]=>[2,3,5,8,6,7,9,4,1,10]
[[1,2,2,3,3,4,4],[3,4],[4]]=>[7,4,8,1,2,3,5,6,9,10]=>[2,3,5,7,6,8,4,1,9,10]
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
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
searching the database
Sorry, this map was not found in the database.