Identifier
Mp00075:
Semistandard tableaux
—reading word permutation⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ 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]=>[3,1,2]=>[[.,[.,.]],.]
[[1,2],[2]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,4]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[2,4]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[3,4]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[4,4]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[1],[4]]=>[2,1]=>[2,1]=>[[.,.],.]
[[2],[4]]=>[2,1]=>[2,1]=>[[.,.],.]
[[3],[4]]=>[2,1]=>[2,1]=>[[.,.],.]
[[1,1,3]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,2,3]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,3,3]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,2,3]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,3,3]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,3,3]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,1],[3]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,2],[3]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,3],[2]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,3],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,2],[3]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,3],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1],[2],[3]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[1,1,1,2]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,2,2]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,2,2]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,2,2]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,1],[2]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,2],[2]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,2,2],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,1],[2,2]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,5]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[2,5]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[3,5]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[4,5]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[5,5]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[1],[5]]=>[2,1]=>[2,1]=>[[.,.],.]
[[2],[5]]=>[2,1]=>[2,1]=>[[.,.],.]
[[3],[5]]=>[2,1]=>[2,1]=>[[.,.],.]
[[4],[5]]=>[2,1]=>[2,1]=>[[.,.],.]
[[1,1,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,2,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,3,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,4,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,2,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,3,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,4,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,3,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,4,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,4,4]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,1],[4]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,2],[4]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,4],[2]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,3],[4]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,4],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,4],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,2],[4]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,3],[4]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,4],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,4],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,3],[4]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[3,4],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1],[2],[4]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[1],[3],[4]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[2],[3],[4]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[1,1,1,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,2,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,2,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,2,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,3,3]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,1],[3]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,2],[3]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,3],[2]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,1,3],[3]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,2,2],[3]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,2,3],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,3],[3]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,3,3],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,3],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,2,2],[3]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,2,3],[3]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,3,3],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,1],[2,3]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,1],[3,3]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,2],[2,3]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,2],[3,3]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,2],[3,3]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,1],[2],[3]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,2],[2],[3]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,3],[2],[3]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,1,1,1,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,2]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,1,2],[2]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,2,2],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2,2],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1],[2,2]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,2],[2,2]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,6]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[2,6]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[3,6]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[4,6]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[5,6]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[6,6]]=>[1,2]=>[1,2]=>[.,[.,.]]
[[1],[6]]=>[2,1]=>[2,1]=>[[.,.],.]
[[2],[6]]=>[2,1]=>[2,1]=>[[.,.],.]
[[3],[6]]=>[2,1]=>[2,1]=>[[.,.],.]
[[4],[6]]=>[2,1]=>[2,1]=>[[.,.],.]
[[5],[6]]=>[2,1]=>[2,1]=>[[.,.],.]
[[1,1,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,2,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,3,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,4,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,5,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,2,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,3,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,4,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,5,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,3,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,4,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,5,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,4,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,5,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[5,5,5]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,1],[5]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,2],[5]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,5],[2]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,3],[5]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,5],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,4],[5]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,5],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,5],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,2],[5]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,3],[5]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,5],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,4],[5]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,5],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,5],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,3],[5]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[3,4],[5]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[3,5],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,5],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[4,4],[5]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[4,5],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1],[2],[5]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[1],[3],[5]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[1],[4],[5]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[2],[3],[5]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[2],[4],[5]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[3],[4],[5]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[1,1,1,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,2,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,2,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,2,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,3,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,4,4,4]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,1],[4]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,2],[4]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,4],[2]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,1,3],[4]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,4],[3]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,1,4],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,2,2],[4]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,2,4],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,3],[4]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,2,4],[3]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,3,4],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,4],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,4,4],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,3],[4]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,3,4],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,4],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,4,4],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,4,4],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,2,2],[4]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,2,3],[4]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,2,4],[3]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,2,4],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,3,3],[4]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,3,4],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,3,4],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,4,4],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,4,4],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,3,3],[4]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[3,3,4],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[3,4,4],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,1],[2,4]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,1],[3,4]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,1],[4,4]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,2],[2,4]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,2],[3,4]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,3],[2,4]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,2],[4,4]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,3],[3,4]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,3],[4,4]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,2],[3,4]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,2],[4,4]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,3],[3,4]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[2,3],[4,4]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[3,3],[4,4]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
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[[1,1],[3],[4]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,2],[2],[4]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
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[[1,3],[3],[4]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
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[[2,3],[3],[4]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
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[[1,1,1,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
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[[1,2,2,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
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[[1,3,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
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[[2,2,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,3,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[3,3,3,3,3]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[3]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,1,2],[3]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,1,3],[2]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,1,3],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,2,2],[3]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,2,3],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,2,3],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
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[[1,2,2,2],[3]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
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[[1,2,2,3],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
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[[1,3,3,3],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,3,3,3],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,2,2,2],[3]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[2,2,2,3],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[2,2,3,3],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,3,3],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
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[[1,1,1],[3,3]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,2],[2,3]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,1,3],[2,2]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,2],[3,3]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,3],[2,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,3],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,2,2],[2,3]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,2,2],[3,3]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,2,3],[2,3]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,3],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,2],[3,3]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
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[[1,1,1],[2],[3]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,2],[2],[3]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,1,3],[2],[3]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2],[2],[3]]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[[1,2,3],[2],[3]]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[[1,3,3],[2],[3]]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1],[2,2],[3]]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[[1,1],[2,3],[3]]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[[1,2],[2,3],[3]]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]
[[1,1,1,1,1,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,2,2,2]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,1],[2]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
[[1,1,1,1,2],[2]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,2,2],[2]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2,2,2],[2]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,2,2],[2]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2,2]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,1,2],[2,2]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,2,2],[2,2]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
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[[7,7]]=>[1,2]=>[1,2]=>[.,[.,.]]
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[[2],[7]]=>[2,1]=>[2,1]=>[[.,.],.]
[[3],[7]]=>[2,1]=>[2,1]=>[[.,.],.]
[[4],[7]]=>[2,1]=>[2,1]=>[[.,.],.]
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[[6],[7]]=>[2,1]=>[2,1]=>[[.,.],.]
[[1,1,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
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[[1,3,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,4,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,5,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,6,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,2,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
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[[2,6,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,3,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,4,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,5,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,6,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,4,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
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[[5,5,6]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
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[[1,3],[6]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,6],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,4],[6]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
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[[1,6],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
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[[2,2],[6]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,3],[6]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,6],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,4],[6]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,6],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,5],[6]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
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[[3,3],[6]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[3,4],[6]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
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[[3,5],[6]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
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[[4,4],[6]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[4,5],[6]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
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[[5,5],[6]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
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[[2],[4],[6]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
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[[3],[4],[6]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
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[[4],[5],[6]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
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[[1,1,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,2,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,2,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,3,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,4,4,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,4,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[5,5,5,5]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,1],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,2],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,5],[2]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,1,3],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,5],[3]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,1,4],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,5],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,1,5],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,2,2],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,2,5],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,3],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,2,5],[3]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,3,5],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,4],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,2,5],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,4,5],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,5],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,5,5],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,3],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,3,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,4],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,3,5],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,4,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,5],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,5,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,4,4],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,4,5],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,5,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,2,2],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,2,3],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,2,5],[3]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,2,4],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,2,5],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,2,5],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,3,3],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,3,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,3,4],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,3,5],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,4,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,3,5],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,5,5],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,4,4],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,4,5],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,5,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,3,3],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[3,3,4],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[3,3,5],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[3,3,5],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[3,4,4],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[3,4,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,4,5],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[3,5,5],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[4,4,4],[5]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[4,4,5],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[4,5,5],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,1],[2,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,1],[3,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,1],[4,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,1],[5,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,2],[2,5]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,2],[3,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,3],[2,5]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,2],[4,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,4],[2,5]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,2],[5,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,3],[3,5]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,3],[4,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,4],[3,5]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,3],[5,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,4],[4,5]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,4],[5,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,2],[3,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,2],[4,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,2],[5,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,3],[3,5]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[2,3],[4,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,4],[3,5]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[2,3],[5,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,4],[4,5]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[2,4],[5,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[3,3],[4,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[3,3],[5,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[3,4],[4,5]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[3,4],[5,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[4,4],[5,5]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,1],[2],[5]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,1],[3],[5]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,1],[4],[5]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,2],[2],[5]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,2],[3],[5]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,3],[2],[5]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,5],[2],[3]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,2],[4],[5]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,4],[2],[5]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,5],[2],[4]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,5],[2],[5]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,3],[3],[5]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,3],[4],[5]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,4],[3],[5]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,5],[3],[4]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,5],[3],[5]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,4],[4],[5]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,5],[4],[5]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[2,2],[3],[5]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[2,2],[4],[5]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[2,3],[3],[5]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[2,3],[4],[5]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[2,4],[3],[5]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[2,5],[3],[4]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[2,5],[3],[5]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[2,4],[4],[5]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[2,5],[4],[5]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[3,3],[4],[5]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[3,4],[4],[5]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[3,5],[4],[5]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1],[2],[3],[5]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[1],[2],[4],[5]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[1],[3],[4],[5]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[2],[3],[4],[5]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[1,1,1,1,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,3,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,3,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,3,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[3,3,3,3,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[3,3,3,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[3,3,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[3,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[4,4,4,4,4]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,1,2],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,1,4],[2]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,1,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,1,4],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,1,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,2,2],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,2,4],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,2,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,2,4],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,3,4],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,2,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,4,4],[2]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,3,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,1,3,4],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,3,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,4,4],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,4,4],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2,2],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,2,2,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,2,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,2,2,4],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,3,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,2,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,4,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,3,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,2,3,4],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,3,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,3,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,4,4],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,4,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,4,4],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,4,4],[2]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,3,3,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[1,3,3,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,3,3,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[1,3,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,3,4,4],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,4,4,4],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,2,2,2],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[2,2,2,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[2,2,2,4],[3]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[2,2,2,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[2,2,3,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[2,2,3,4],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,3,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[2,2,4,4],[3]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,4,4],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,3,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[2,3,3,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,3,3,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[2,3,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,3,4,4],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,4,4,4],[3]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,4,4,4],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,3,3,3],[4]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[3,3,3,4],[4]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[3,3,4,4],[4]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[3,4,4,4],[4]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1],[2,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,1],[3,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,1],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,2],[2,4]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,1,4],[2,2]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,2],[3,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,3],[2,4]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,1,4],[2,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,2],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,4],[2,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,3],[3,4]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,1,4],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,3],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,4],[3,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,4],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,2,2],[2,4]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,2,2],[3,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,2,3],[2,4]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,2,4],[2,3]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,2],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,2,4],[2,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,3],[3,4]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,2,4],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,3],[2,4]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,2,3],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,2,4],[3,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,4],[2,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,4],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,3],[3,4]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,3,3],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,3,4],[3,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,3,4],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,2],[3,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,2,2],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,2,3],[3,4]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[2,2,4],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,3],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,2,4],[3,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,4],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,3,3],[3,4]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[2,3,3],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,3,4],[3,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[2,3,4],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[3,3,3],[4,4]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[3,3,4],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,1],[2],[4]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,1],[3],[4]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,2],[2],[4]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,1,2],[3],[4]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,3],[2],[4]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,1,4],[2],[3]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,4],[2],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,3],[3],[4]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,1,4],[3],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2],[2],[4]]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[[1,2,2],[3],[4]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,3],[2],[4]]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[[1,2,4],[2],[3]]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[[1,2,4],[2],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[[1,2,3],[3],[4]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,3,3],[2],[4]]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[[1,3,4],[2],[3]]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,4],[3],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,4],[2],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[[1,4,4],[2],[3]]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,4,4],[2],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,3,3],[3],[4]]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[[1,3,4],[3],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[[1,4,4],[3],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,2,2],[3],[4]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[2,2,3],[3],[4]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[2,2,4],[3],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,3],[3],[4]]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[[2,3,4],[3],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[[2,4,4],[3],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1],[2,2],[4]]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[[1,1],[2,3],[4]]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[[1,1],[2,4],[3]]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[[1,1],[2,4],[4]]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[[1,1],[3,3],[4]]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[[1,1],[3,4],[4]]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[[1,2],[2,3],[4]]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,2],[2,4],[3]]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]
[[1,2],[2,4],[4]]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]
[[1,2],[3,3],[4]]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[[1,3],[2,4],[3]]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[[1,2],[3,4],[4]]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[[1,3],[2,4],[4]]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]
[[1,3],[3,4],[4]]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]
[[2,2],[3,3],[4]]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[[2,2],[3,4],[4]]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[[2,3],[3,4],[4]]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]
[[1,1],[2],[3],[4]]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[[.,[.,.]],[.,[.,.]]]
[[1,2],[2],[3],[4]]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[[.,.],[[.,.],[.,.]]]
[[1,3],[2],[3],[4]]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[[.,.],[.,[[.,.],.]]]
[[1,4],[2],[3],[4]]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1,1,1,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,1,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,2,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[[1,3,3,3,3,3]]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[[1,2,2,2,2],[3]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
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[[1,2,2,2,3],[3]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
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[[2,2,2,2,2],[3]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
[[2,2,2,2,3],[3]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[2,2,2,3,3],[3]]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,3,3,3],[3]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
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[[1,1,1,1],[2,3]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,1,1],[3,3]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,1,2],[2,3]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1,3],[2,2]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1,2],[3,3]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
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[[1,1,1,3],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,2,2],[2,3]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],.]
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[[1,1,2,2],[3,3]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
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[[1,1,2,3],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
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[[1,1,3,3],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,2,2,2],[2,3]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,2,2,2],[3,3]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
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[[2,2,2,2],[3,3]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
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[[1,2,2],[2,3,3]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[[1,2,2],[3,3,3]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
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[[8,8]]=>[1,2]=>[1,2]=>[.,[.,.]]
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[[5],[8]]=>[2,1]=>[2,1]=>[[.,.],.]
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[[1,3,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,4,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,5,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,6,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,2,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,3,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,4,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,5,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,6,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,3,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,4,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,5,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,6,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,4,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,5,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,6,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[5,5,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[5,6,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[5,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[6,6,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[6,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[7,7,7]]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,1],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,2],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,7],[2]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,3],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,7],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,4],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,7],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,5],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,7],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,6],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[1,7],[6]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1,7],[7]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,2],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,3],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,7],[3]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,4],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,7],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,5],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,7],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,6],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[2,7],[6]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[2,7],[7]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,3],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[3,4],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[3,7],[4]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,5],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[3,7],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,6],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[3,7],[6]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[3,7],[7]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[4,4],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[4,5],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[4,7],[5]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[4,6],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[4,7],[6]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[4,7],[7]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[5,5],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[5,6],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[5,7],[6]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[5,7],[7]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[6,6],[7]]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[[6,7],[7]]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[[1],[2],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[1],[3],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[1],[4],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[1],[5],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[1],[6],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[2],[3],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[2],[4],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[2],[5],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[2],[6],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[3],[4],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[3],[5],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[3],[6],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[4],[5],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[4],[6],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[5],[6],[7]]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]]
[[1,1,1,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,2,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,2,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,2,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,3,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,4,4,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,4,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,4,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[5,5,5,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[5,5,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[5,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[6,6,6,6]]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,1],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,2],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,6],[2]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,1,3],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,6],[3]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,1,4],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,6],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,1,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,1,6],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,1,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,2,2],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,2,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,3],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,2,6],[3]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,3,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,4],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,2,6],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,4,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,2,6],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,5,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,6,6],[2]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,3],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,3,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,4],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,3,6],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,4,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,3,6],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,5,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,6,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,4,4],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,4,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,4,6],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,4,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,5,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[1,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,5,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[1,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,2,2],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,2,3],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,2,6],[3]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,2,4],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,2,6],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,2,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,2,6],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,2,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,3,3],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,3,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,3,4],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,3,6],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,4,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,3,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,3,6],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,5,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,3,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,6,6],[3]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,4,4],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,4,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,4,6],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,4,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,5,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[2,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,5,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[2,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,3,3],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[3,3,4],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[3,3,6],[4]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[3,3,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[3,3,6],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[3,3,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[3,4,4],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[3,4,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,4,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[3,4,6],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[3,5,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,4,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[3,6,6],[4]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,5,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[3,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,5,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[3,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[4,4,4],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[4,4,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[4,4,6],[5]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[4,4,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[4,5,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[4,5,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[4,5,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[4,6,6],[5]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[4,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[5,5,5],[6]]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[[5,5,6],[6]]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[[5,6,6],[6]]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,1],[2,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,1],[3,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,1],[4,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,1],[5,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,1],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,2],[2,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,2],[3,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,3],[2,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,2],[4,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,4],[2,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,2],[5,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,5],[2,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,2],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,3],[3,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,3],[4,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,4],[3,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,3],[5,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,5],[3,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,3],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,4],[4,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,4],[5,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,5],[4,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,4],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,5],[5,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[1,5],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,2],[3,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,2],[4,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,2],[5,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,2],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,3],[3,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[2,3],[4,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,4],[3,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[2,3],[5,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,5],[3,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[2,3],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,4],[4,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[2,4],[5,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,5],[4,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[2,4],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[2,5],[5,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[2,5],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[3,3],[4,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[3,3],[5,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[3,3],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[3,4],[4,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[3,4],[5,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[3,5],[4,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[3,4],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[3,5],[5,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[3,5],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[4,4],[5,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[4,4],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[4,5],[5,6]]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[[4,5],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[5,5],[6,6]]=>[3,4,1,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[[1,1],[2],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,1],[3],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,1],[4],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,1],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,2],[2],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,2],[3],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,3],[2],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,6],[2],[3]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,2],[4],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,4],[2],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,6],[2],[4]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,2],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,5],[2],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,6],[2],[5]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,6],[2],[6]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,3],[3],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,3],[4],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,4],[3],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,6],[3],[4]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,3],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,5],[3],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,6],[3],[5]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,6],[3],[6]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,4],[4],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,4],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[1,5],[4],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,6],[4],[5]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,6],[4],[6]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1,5],[5],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[1,6],[5],[6]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[2,2],[3],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[2,2],[4],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[2,2],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[2,3],[3],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[2,3],[4],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[2,4],[3],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[2,6],[3],[4]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[2,3],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[2,5],[3],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[2,6],[3],[5]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[2,6],[3],[6]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[2,4],[4],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[2,4],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[2,5],[4],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[2,6],[4],[5]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[2,6],[4],[6]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[2,5],[5],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[2,6],[5],[6]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[3,3],[4],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[3,3],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[3,4],[4],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[3,4],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[3,5],[4],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[3,6],[4],[5]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[3,6],[4],[6]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[3,5],[5],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[3,6],[5],[6]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[4,4],[5],[6]]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[[4,5],[5],[6]]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[[4,6],[5],[6]]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[[1],[2],[3],[6]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[1],[2],[4],[6]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[1],[2],[5],[6]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[1],[3],[4],[6]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[1],[3],[5],[6]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[1],[4],[5],[6]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[2],[3],[4],[6]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[2],[3],[5],[6]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[2],[4],[5],[6]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[3],[4],[5],[6]]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[[1,1,1,1,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,4,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,4,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,4,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,5,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,3,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,4,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,4,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,5,5,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,3,3,3,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,3,3,4,5]]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
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[[3,5,5,5],[5]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[4,4,4,4],[5]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[[4,4,4,5],[5]]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[[4,4,5,5],[5]]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[[4,5,5,5],[5]]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1],[2,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,1],[3,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,1],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,1],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,2],[2,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,1,5],[2,2]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,2],[3,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,3],[2,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,1,5],[2,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,2],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,4],[2,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,1,5],[2,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,2],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,5],[2,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,3],[3,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,1,5],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,3],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,4],[3,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,1,5],[3,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,3],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,5],[3,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,4],[4,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,1,5],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,1,5],[4,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,2,2],[2,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,2,2],[3,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,2,3],[2,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,2,5],[2,3]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,2],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,2,4],[2,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,2,5],[2,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,2],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,2,5],[2,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,3],[3,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,2,5],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,3],[2,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,2,3],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,2,4],[3,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,2,5],[3,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,4],[2,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,3,5],[2,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,3],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,2,5],[3,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,5],[2,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,4],[4,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,2,5],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,4,4],[2,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,2,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,2,5],[4,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,4,5],[2,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,2,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,3,3],[3,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,3,3],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,3,4],[3,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,3,5],[3,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,3,3],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,3,5],[3,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,3,4],[4,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[1,3,5],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,4,4],[3,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,3,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,3,5],[4,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,4,5],[3,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,3,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,4,4],[4,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[1,4,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[1,4,5],[4,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[1,4,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,2],[3,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,2,2],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,2,2],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,2,3],[3,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[2,2,5],[3,3]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,3],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,2,4],[3,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[2,2,5],[3,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,3],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,2,5],[3,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,4],[4,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[2,2,5],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,2,5],[4,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,2,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,3,3],[3,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[2,3,3],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,3,4],[3,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[2,3,5],[3,4]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[2,3,3],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,3,5],[3,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[2,3,4],[4,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[2,3,5],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,4,4],[3,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[2,3,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,3,5],[4,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,4,5],[3,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[2,3,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[2,4,4],[4,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[2,4,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[2,4,5],[4,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[2,4,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[3,3,3],[4,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[3,3,3],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[3,3,4],[4,5]]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[[3,3,5],[4,4]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[3,3,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[3,3,5],[4,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[3,3,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[3,4,4],[4,5]]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[[3,4,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[3,4,5],[4,5]]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[[3,4,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[4,4,4],[5,5]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[[4,4,5],[5,5]]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[[1,1,1],[2],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,1],[3],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,1],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,2],[2],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,1,2],[3],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,3],[2],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,1,5],[2],[3]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,2],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,4],[2],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,1,5],[2],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[2],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,3],[3],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,1,3],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,1,4],[3],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,1,5],[3],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[3],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,4],[4],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,1,5],[4],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2],[2],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[[1,2,2],[3],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,3],[2],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[[1,2,5],[2],[3]]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[[1,2,2],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,4],[2],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[[1,2,5],[2],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[[1,2,5],[2],[5]]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[[1,2,3],[3],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,3,3],[2],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[[1,3,5],[2],[3]]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,5],[3],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,5],[2],[5]]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[[1,5,5],[2],[3]]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,4],[4],[5]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[[1,4,4],[2],[5]]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[[1,4,5],[2],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,5],[4],[5]]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,5],[2],[5]]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[[1,5,5],[2],[4]]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,5,5],[2],[5]]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]
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[[1,2,2,2,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
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[[2,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
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[[3,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
[[3,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
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[[3,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[3,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
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[[1,1,1,2],[2,4]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],.]
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[[1,1,1,2],[3,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,1,3],[2,4]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1,4],[2,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1,2],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,1,4],[2,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1,3],[3,4]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1,4],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,1,4],[3,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,2,2],[2,4]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,2,4],[2,2]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2,2],[3,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,2,3],[2,4]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,2,4],[2,3]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,1,3,4],[2,2]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2,2],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,2,4],[2,4]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,1,4,4],[2,2]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2,3],[3,4]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,2,4],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,3,3],[2,4]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,3,4],[2,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,2,4],[3,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,3,4],[2,4]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,1,4,4],[2,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,4,4],[2,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,3,3],[3,4]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,3,4],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,3,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,1,3,4],[3,4]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,1,4,4],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,3,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,4,4],[3,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,4,4],[4,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,2,2,2],[2,4]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,2,2,3],[2,4]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,2,2,4],[2,3]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,2,2,4],[2,4]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,2,3,3],[2,4]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,2,3,4],[2,3]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,2,3,4],[2,4]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,2,4,4],[2,3]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,2,4,4],[2,4]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,3,3,3],[2,4]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,3,3,4],[2,4]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,3,4,4],[2,4]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]
[[1,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[1,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[1,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[2,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[2,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[2,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],.]
[[2,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[2,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[2,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[2,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[2,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[[2,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[2,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[2,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[[2,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[2,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[2,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[2,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[2,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]
[[2,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[2,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[[2,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[2,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[2,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[3,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[[3,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[[3,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,1,1],[2],[4]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,1],[3],[4]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,2],[2],[4]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,1,1,2],[3],[4]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,1,3],[2],[4]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,1,1,4],[2],[3]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,4],[2],[4]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1,3],[3],[4]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,1,1,4],[3],[4]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2,2],[2],[4]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[[1,1,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,2,3],[2],[4]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[[1,1,2,4],[2],[3]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,1,2,4],[2],[4]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,1,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,1,3,3],[2],[4]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[[1,1,3,4],[2],[3]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3,4],[2],[4]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,1,4,4],[2],[3]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,4,4],[2],[4]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[[1,1,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,1,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,2],[2],[4]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]
[[1,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,2,2,3],[2],[4]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]
[[1,2,2,4],[2],[3]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,2,2,4],[2],[4]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,2,3,3],[2],[4]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]
[[1,2,3,4],[2],[3]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3,4],[2],[4]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,2,4,4],[2],[3]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,2,4,4],[2],[4]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[[1,3,3,3],[2],[4]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]
[[1,3,3,4],[2],[3]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,3,3,4],[2],[4]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,3,4,4],[2],[3]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,4,4],[2],[4]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,4,4,4],[2],[3]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,4,4,4],[2],[4]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]
[[1,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[2,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[[2,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[[2,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[[2,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]
[[2,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[[2,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[2,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,1,1],[2,2,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1],[2,3,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1],[2,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1],[3,3,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1],[3,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,2],[2,2,4]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,2],[2,3,4]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],.]
[[1,1,3],[2,2,4]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,2],[2,4,4]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],.]
[[1,1,2],[3,3,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,3],[2,3,4]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,2],[3,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,3],[2,4,4]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],.]
[[1,1,2],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,3],[3,3,4]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,1,3],[3,4,4]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],.]
[[1,1,3],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,2,2],[2,3,4]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[[1,2,2],[2,4,4]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[[1,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,2,3],[2,3,4]]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],.]
[[1,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,2,3],[2,4,4]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[[1,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[[1,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],.]
[[1,3,3],[2,4,4]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[[1,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[[1,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[2,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[2,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[2,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[2,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[[2,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],.]
[[2,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[2,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[[2,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[3,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[[1,1,1],[2,2],[4]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1],[2,3],[4]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1],[2,4],[3]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],.]
[[1,1,1],[2,4],[4]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],.]
[[1,1,1],[3,3],[4]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,1],[3,4],[4]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],.]
[[1,1,2],[2,2],[4]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1,2],[2,3],[4]]=>[6,3,5,1,2,4]=>[5,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[[1,1,2],[2,4],[3]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],.]
[[1,1,3],[2,2],[4]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1,4],[2,2],[3]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2],[2,4],[4]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],.]
[[1,1,4],[2,2],[4]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,1,3],[2,3],[4]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1,3],[2,4],[3]]=>[4,3,6,1,2,5]=>[6,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],.]
[[1,1,4],[2,3],[3]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,1,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],.]
[[1,1,3],[2,4],[4]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],.]
[[1,1,4],[2,3],[4]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,4],[2,4],[3]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,1,4],[2,4],[4]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,1,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],.]
[[1,1,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,2,2],[2,3],[4]]=>[6,2,5,1,3,4]=>[5,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[[1,2,2],[2,4],[3]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]
[[1,2,2],[2,4],[4]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]
[[1,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[[1,2,3],[2,3],[4]]=>[6,2,4,1,3,5]=>[4,6,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,2,3],[2,4],[3]]=>[4,2,6,1,3,5]=>[6,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],.]
[[1,2,4],[2,3],[3]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],.]
[[1,2,3],[2,4],[4]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]
[[1,2,4],[2,3],[4]]=>[5,2,4,1,3,6]=>[4,5,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,4],[2,4],[3]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,2,4],[2,4],[4]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,3,3],[2,4],[3]]=>[3,2,6,1,4,5]=>[6,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],.]
[[1,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],.]
[[1,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,3,3],[2,4],[4]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]
[[1,3,4],[2,4],[3]]=>[3,2,5,1,4,6]=>[5,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,3,4],[2,4],[4]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]
[[1,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[2,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[[2,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],.]
[[2,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]
[[2,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],.]
[[2,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[[2,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[.,.]]
[[2,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]
[[2,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>[5,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,1,1],[2],[3],[4]]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2],[2],[3],[4]]=>[6,5,3,1,2,4]=>[3,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[[1,1,3],[2],[3],[4]]=>[6,4,3,1,2,5]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[[1,1,4],[2],[3],[4]]=>[5,4,3,1,2,6]=>[3,1,4,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2],[2],[3],[4]]=>[6,5,2,1,3,4]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[[1,2,3],[2],[3],[4]]=>[6,4,2,1,3,5]=>[2,4,1,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]]
[[1,2,4],[2],[3],[4]]=>[5,4,2,1,3,6]=>[2,4,1,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[[1,3,3],[2],[3],[4]]=>[6,3,2,1,4,5]=>[2,3,6,1,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]
[[1,3,4],[2],[3],[4]]=>[5,3,2,1,4,6]=>[2,3,5,1,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[[1,4,4],[2],[3],[4]]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,1],[2,2],[3,4]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1],[2,2],[4,4]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1],[2,3],[3,4]]=>[4,6,3,5,1,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,1],[2,3],[4,4]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,2],[2,3],[3,4]]=>[4,6,2,5,1,3]=>[5,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[[1,2],[2,3],[4,4]]=>[5,6,2,4,1,3]=>[4,6,1,2,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[[1,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[[2,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[[1,1],[2,2],[3],[4]]=>[6,5,3,4,1,2]=>[4,1,5,3,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]
[[1,1],[2,3],[3],[4]]=>[6,4,3,5,1,2]=>[5,1,4,6,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[[1,1],[2,4],[3],[4]]=>[5,4,3,6,1,2]=>[6,1,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],.]
[[1,2],[2,3],[3],[4]]=>[6,4,2,5,1,3]=>[5,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[[1,2],[2,4],[3],[4]]=>[5,4,2,6,1,3]=>[6,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]
[[1,3],[2,4],[3],[4]]=>[5,3,2,6,1,4]=>[6,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],.]
[[1,1,1,1,1,1,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[[1,1,1,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,2,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[2,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[3,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[[1,1,1,1,1,2],[3]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
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[[1,1,1,1,1,3],[3]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,1,2,2],[3]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,1,1,1,2,3],[2]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,1,2,3],[3]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,1,3,3],[2]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,1,3,3],[3]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,1,1,2,2,3],[2]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,1,2,3,3],[2]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,1,3,3,3],[2]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,1,2,2,2,3],[2]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,1,2,2,3,3],[2]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,1,2,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,3,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,1,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,2,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[1,2,2,2,2,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[1,2,2,2,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[1,2,2,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,3,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,3,3,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,3,3,3,3,3],[3]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[2,2,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[[2,2,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[[2,2,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[[2,2,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[[2,2,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[2,3,3,3,3,3],[3]]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,1],[2,3]]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
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[[1,1,1,1,2],[2,3]]=>[5,7,1,2,3,4,6]=>[7,1,2,3,5,4,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
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[[1,1,1,1,3],[2,3]]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[[1,1,1,1,3],[3,3]]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[[1,1,1,2,2],[2,3]]=>[4,7,1,2,3,5,6]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[[1,1,1,2,3],[2,2]]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[[1,1,1,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[[1,1,1,2,3],[2,3]]=>[4,6,1,2,3,5,7]=>[6,1,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
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[[1,1,1,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
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[[1,1,2,2,2],[2,3]]=>[3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[[1,1,2,2,3],[2,2]]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
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[[1,1,2,2,3],[2,3]]=>[3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
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[[1,1,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
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[[2,2,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
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[[1,1,1,2,2],[2],[3]]=>[7,4,1,2,3,5,6]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
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[[1,1,3,3,3],[2],[3]]=>[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[[1,2,2,2,2],[2],[3]]=>[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
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[[1,2,2,3,3],[2],[3]]=>[5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[[1,2,3,3,3],[2],[3]]=>[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[[1,3,3,3,3],[2],[3]]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1],[2,2,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[[1,1,1,1],[2,3,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[[1,1,1,1],[3,3,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[[1,1,1,2],[2,2,3]]=>[4,5,7,1,2,3,6]=>[7,1,2,4,5,3,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[[1,1,1,3],[2,2,2]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,1,1,2],[2,3,3]]=>[4,6,7,1,2,3,5]=>[7,1,2,4,3,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[[1,1,1,3],[2,2,3]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,1,1,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[[1,1,1,3],[2,3,3]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,1,1,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,1,2,2],[2,2,3]]=>[3,4,7,1,2,5,6]=>[7,1,3,4,2,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[[1,1,2,2],[2,3,3]]=>[3,6,7,1,2,4,5]=>[7,1,3,2,4,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[[1,1,2,3],[2,2,3]]=>[3,4,6,1,2,5,7]=>[6,1,3,4,2,5,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[[1,1,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[[1,1,2,3],[2,3,3]]=>[3,5,6,1,2,4,7]=>[6,1,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[[1,1,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,2,2,2],[2,3,3]]=>[2,6,7,1,3,4,5]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[[1,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[[1,2,2,3],[2,3,3]]=>[2,5,6,1,3,4,7]=>[6,2,1,3,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[[1,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[2,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[[2,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,1,1,1],[2,2],[3]]=>[7,5,6,1,2,3,4]=>[6,1,2,3,7,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[[1,1,1,1],[2,3],[3]]=>[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[[1,1,1,2],[2,2],[3]]=>[7,4,5,1,2,3,6]=>[5,1,2,7,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[[1,1,1,2],[2,3],[3]]=>[6,4,7,1,2,3,5]=>[7,1,2,6,3,4,5]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[[1,1,1,3],[2,2],[3]]=>[6,4,5,1,2,3,7]=>[5,1,2,6,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[[1,1,1,3],[2,3],[3]]=>[5,4,6,1,2,3,7]=>[6,1,2,5,4,3,7]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[[1,1,2,2],[2,2],[3]]=>[7,3,4,1,2,5,6]=>[4,1,7,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[[1,1,2,2],[2,3],[3]]=>[6,3,7,1,2,4,5]=>[7,1,6,2,4,3,5]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[[1,1,2,3],[2,2],[3]]=>[6,3,4,1,2,5,7]=>[4,1,6,3,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[[1,1,2,3],[2,3],[3]]=>[5,3,6,1,2,4,7]=>[6,1,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[[1,1,3,3],[2,2],[3]]=>[5,3,4,1,2,6,7]=>[4,1,5,3,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[[1,1,3,3],[2,3],[3]]=>[4,3,5,1,2,6,7]=>[5,1,4,3,2,6,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[[1,2,2,2],[2,3],[3]]=>[6,2,7,1,3,4,5]=>[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[[1,2,2,3],[2,3],[3]]=>[5,2,6,1,3,4,7]=>[6,5,1,3,2,4,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[[1,2,3,3],[2,3],[3]]=>[4,2,5,1,3,6,7]=>[5,4,1,2,3,6,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[[1,1,1],[2,2,2],[3]]=>[7,4,5,6,1,2,3]=>[6,1,2,7,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[[1,1,1],[2,2,3],[3]]=>[6,4,5,7,1,2,3]=>[7,1,2,6,4,5,3]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[[1,1,1],[2,3,3],[3]]=>[5,4,6,7,1,2,3]=>[7,1,2,5,4,6,3]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[[1,1,2],[2,2,3],[3]]=>[6,3,4,7,1,2,5]=>[7,1,6,3,2,4,5]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[[1,1,2],[2,3,3],[3]]=>[5,3,6,7,1,2,4]=>[7,1,5,2,3,6,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[[1,2,2],[2,3,3],[3]]=>[5,2,6,7,1,3,4]=>[7,5,1,3,2,6,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[[1,1,1],[2,2],[3,3]]=>[6,7,4,5,1,2,3]=>[5,1,2,7,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[[1,1,2],[2,2],[3,3]]=>[6,7,3,4,1,2,5]=>[4,1,7,3,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[[1,1,3],[2,2],[3,3]]=>[5,6,3,4,1,2,7]=>[4,1,6,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[[1,1,1,1,1,1,1,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,1,1,1,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,1,1,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,1,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[2,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1]]=>[1]=>[1]=>[.,.]
[[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]=>[.,.]
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottommost row (in English notation).
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.
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.