Identifier
Mp00075:
Semistandard tableaux
—reading word permutation⟶
Permutations
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
=>
Cc0019;cc-rep-0Cc0010;cc-rep-3
[[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]=>[[.,.],[.,[.,.]]]
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[[1,3,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
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[[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]=>[.,[.,[.,[.,[.,.]]]]]
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[[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]=>[.,[.,[.,[.,[.,.]]]]]
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[[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]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[[8,8]]=>[1,2]=>[1,2]=>[.,[.,.]]
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[[4],[8]]=>[2,1]=>[2,1]=>[[.,.],.]
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[[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]=>[.,[.,[.,.]]]
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[[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]=>[.,[.,[.,.]]]
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[[3,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,4,6],[6]]=>[3,1,2,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
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[[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]=>[[.,.],[[.,.],.]]
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[[1,5],[2,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
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[[1,3],[3,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
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[[1,4],[3,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
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[[1,5],[3,6]]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
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[[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]=>[[.,[.,[.,.]]],.]
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[[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]=>[.,[.,[.,[.,[.,.]]]]]
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[[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]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[[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]=>[[[.,.],[.,.]],[.,[.,.]]]
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[[3,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[[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]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
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[[1,1,1,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[2,3,4,5,7,6,1]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
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[[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]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
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[[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]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
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[[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]=>[[[.,.],.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[[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]=>[[.,.],[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]
[[1,1,1,1,2,2,2],[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]=>[[.,.],[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]
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.
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
searching the database
Sorry, this map was not found in the database.