Identifier
Mp00075:
Semistandard tableaux
—reading word permutation⟶
Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0019;cc-rep-0Cc0010;cc-rep-2
[[1,2]]=>[1,2]=>[.,[.,.]]
[[2,2]]=>[1,2]=>[.,[.,.]]
[[1],[2]]=>[2,1]=>[[.,.],.]
[[1,3]]=>[1,2]=>[.,[.,.]]
[[2,3]]=>[1,2]=>[.,[.,.]]
[[3,3]]=>[1,2]=>[.,[.,.]]
[[1],[3]]=>[2,1]=>[[.,.],.]
[[2],[3]]=>[2,1]=>[[.,.],.]
[[1,1,2]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,2,2]]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,2,2]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,1],[2]]=>[3,1,2]=>[[.,.],[.,.]]
[[1,2],[2]]=>[2,1,3]=>[[.,.],[.,.]]
[[1,4]]=>[1,2]=>[.,[.,.]]
[[2,4]]=>[1,2]=>[.,[.,.]]
[[3,4]]=>[1,2]=>[.,[.,.]]
[[4,4]]=>[1,2]=>[.,[.,.]]
[[1],[4]]=>[2,1]=>[[.,.],.]
[[2],[4]]=>[2,1]=>[[.,.],.]
[[3],[4]]=>[2,1]=>[[.,.],.]
[[1,1,3]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,2,3]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,3,3]]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,2,3]]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,3,3]]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,3,3]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,1],[3]]=>[3,1,2]=>[[.,.],[.,.]]
[[1,2],[3]]=>[3,1,2]=>[[.,.],[.,.]]
[[1,3],[2]]=>[2,1,3]=>[[.,.],[.,.]]
[[1,3],[3]]=>[2,1,3]=>[[.,.],[.,.]]
[[2,2],[3]]=>[3,1,2]=>[[.,.],[.,.]]
[[2,3],[3]]=>[2,1,3]=>[[.,.],[.,.]]
[[1],[2],[3]]=>[3,2,1]=>[[[.,.],.],.]
[[1,1,1,2]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,2,2]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,2,2]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,2,2]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,1],[2]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1,1,2],[2]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,2,2],[2]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,1],[2,2]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[1,5]]=>[1,2]=>[.,[.,.]]
[[2,5]]=>[1,2]=>[.,[.,.]]
[[3,5]]=>[1,2]=>[.,[.,.]]
[[4,5]]=>[1,2]=>[.,[.,.]]
[[5,5]]=>[1,2]=>[.,[.,.]]
[[1],[5]]=>[2,1]=>[[.,.],.]
[[2],[5]]=>[2,1]=>[[.,.],.]
[[3],[5]]=>[2,1]=>[[.,.],.]
[[4],[5]]=>[2,1]=>[[.,.],.]
[[1,1,4]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,2,4]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,3,4]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,4,4]]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,2,4]]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,3,4]]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,4,4]]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,3,4]]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,4,4]]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,4,4]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,1],[4]]=>[3,1,2]=>[[.,.],[.,.]]
[[1,2],[4]]=>[3,1,2]=>[[.,.],[.,.]]
[[1,4],[2]]=>[2,1,3]=>[[.,.],[.,.]]
[[1,3],[4]]=>[3,1,2]=>[[.,.],[.,.]]
[[1,4],[3]]=>[2,1,3]=>[[.,.],[.,.]]
[[1,4],[4]]=>[2,1,3]=>[[.,.],[.,.]]
[[2,2],[4]]=>[3,1,2]=>[[.,.],[.,.]]
[[2,3],[4]]=>[3,1,2]=>[[.,.],[.,.]]
[[2,4],[3]]=>[2,1,3]=>[[.,.],[.,.]]
[[2,4],[4]]=>[2,1,3]=>[[.,.],[.,.]]
[[3,3],[4]]=>[3,1,2]=>[[.,.],[.,.]]
[[3,4],[4]]=>[2,1,3]=>[[.,.],[.,.]]
[[1],[2],[4]]=>[3,2,1]=>[[[.,.],.],.]
[[1],[3],[4]]=>[3,2,1]=>[[[.,.],.],.]
[[2],[3],[4]]=>[3,2,1]=>[[[.,.],.],.]
[[1,1,1,3]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,2,3]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,3,3]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,2,3]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,3,3]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,3,3]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,2,3]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,3,3]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,3,3]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,3,3]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,1],[3]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1,1,2],[3]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1,1,3],[2]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,1,3],[3]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,2,2],[3]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1,2,3],[2]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,3],[3]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,3,3],[2]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,3],[3]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,2,2],[3]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[2,2,3],[3]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[2,3,3],[3]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,1],[2,3]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[1,1],[3,3]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[1,2],[2,3]]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,2],[3,3]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[2,2],[3,3]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[1,1],[2],[3]]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[[1,2],[2],[3]]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[[1,3],[2],[3]]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[[1,1,1,1,2]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,2,2]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,2]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,2,2]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,2]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2]]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1,2],[2]]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,2,2],[2]]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,2,2],[2]]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1],[2,2]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,2],[2,2]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,6]]=>[1,2]=>[.,[.,.]]
[[2,6]]=>[1,2]=>[.,[.,.]]
[[3,6]]=>[1,2]=>[.,[.,.]]
[[4,6]]=>[1,2]=>[.,[.,.]]
[[5,6]]=>[1,2]=>[.,[.,.]]
[[6,6]]=>[1,2]=>[.,[.,.]]
[[1],[6]]=>[2,1]=>[[.,.],.]
[[2],[6]]=>[2,1]=>[[.,.],.]
[[3],[6]]=>[2,1]=>[[.,.],.]
[[4],[6]]=>[2,1]=>[[.,.],.]
[[5],[6]]=>[2,1]=>[[.,.],.]
[[1,1,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,2,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,3,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,4,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,5,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,2,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,3,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,4,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[2,5,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,3,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,4,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[3,5,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,4,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[4,5,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[5,5,5]]=>[1,2,3]=>[.,[.,[.,.]]]
[[1,1],[5]]=>[3,1,2]=>[[.,.],[.,.]]
[[1,2],[5]]=>[3,1,2]=>[[.,.],[.,.]]
[[1,5],[2]]=>[2,1,3]=>[[.,.],[.,.]]
[[1,3],[5]]=>[3,1,2]=>[[.,.],[.,.]]
[[1,5],[3]]=>[2,1,3]=>[[.,.],[.,.]]
[[1,4],[5]]=>[3,1,2]=>[[.,.],[.,.]]
[[1,5],[4]]=>[2,1,3]=>[[.,.],[.,.]]
[[1,5],[5]]=>[2,1,3]=>[[.,.],[.,.]]
[[2,2],[5]]=>[3,1,2]=>[[.,.],[.,.]]
[[2,3],[5]]=>[3,1,2]=>[[.,.],[.,.]]
[[2,5],[3]]=>[2,1,3]=>[[.,.],[.,.]]
[[2,4],[5]]=>[3,1,2]=>[[.,.],[.,.]]
[[2,5],[4]]=>[2,1,3]=>[[.,.],[.,.]]
[[2,5],[5]]=>[2,1,3]=>[[.,.],[.,.]]
[[3,3],[5]]=>[3,1,2]=>[[.,.],[.,.]]
[[3,4],[5]]=>[3,1,2]=>[[.,.],[.,.]]
[[3,5],[4]]=>[2,1,3]=>[[.,.],[.,.]]
[[3,5],[5]]=>[2,1,3]=>[[.,.],[.,.]]
[[4,4],[5]]=>[3,1,2]=>[[.,.],[.,.]]
[[4,5],[5]]=>[2,1,3]=>[[.,.],[.,.]]
[[1],[2],[5]]=>[3,2,1]=>[[[.,.],.],.]
[[1],[3],[5]]=>[3,2,1]=>[[[.,.],.],.]
[[1],[4],[5]]=>[3,2,1]=>[[[.,.],.],.]
[[2],[3],[5]]=>[3,2,1]=>[[[.,.],.],.]
[[2],[4],[5]]=>[3,2,1]=>[[[.,.],.],.]
[[3],[4],[5]]=>[3,2,1]=>[[[.,.],.],.]
[[1,1,1,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,2,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,3,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,4,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,2,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,3,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,2,4,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,3,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,3,4,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,4,4,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,2,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,3,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,2,4,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,3,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,3,4,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[2,4,4,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,3,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,3,4,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[3,4,4,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[4,4,4,4]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[1,1,1],[4]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1,1,2],[4]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1,1,4],[2]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,1,3],[4]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1,1,4],[3]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,1,4],[4]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,2,2],[4]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1,2,4],[2]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,3],[4]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1,2,4],[3]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,3,4],[2]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,2,4],[4]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,4,4],[2]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,3],[4]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[1,3,4],[3]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,3,4],[4]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[1,4,4],[3]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,4,4],[4]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,2,2],[4]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[2,2,3],[4]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[2,2,4],[3]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[2,2,4],[4]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[2,3,3],[4]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[2,3,4],[3]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,3,4],[4]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[2,4,4],[3]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[2,4,4],[4]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[3,3,3],[4]]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[[3,3,4],[4]]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[[3,4,4],[4]]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[[1,1],[2,4]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[1,1],[3,4]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[1,1],[4,4]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[1,2],[2,4]]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,2],[3,4]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[1,3],[2,4]]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,2],[4,4]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[1,3],[3,4]]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[1,3],[4,4]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[2,2],[3,4]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[2,2],[4,4]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[2,3],[3,4]]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[[2,3],[4,4]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[3,3],[4,4]]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[[1,1],[2],[4]]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[[1,1],[3],[4]]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[[1,2],[2],[4]]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[[1,2],[3],[4]]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[[1,3],[2],[4]]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[[1,4],[2],[3]]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[[1,4],[2],[4]]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[[1,3],[3],[4]]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[[1,4],[3],[4]]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[[2,2],[3],[4]]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[[2,3],[3],[4]]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[[2,4],[3],[4]]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[[1],[2],[3],[4]]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[[1,1,1,1,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,2,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,3,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,2,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,2,3,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,3,3,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,2,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,2,3,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,2,3,3,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,3,3,3,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,2,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,2,3,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,2,3,3,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[2,3,3,3,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[3,3,3,3,3]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[3]]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1,2],[3]]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1,3],[2]]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1,3],[3]]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,2,2],[3]]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,2,3],[2]]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,2,3],[3]]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,3,3],[2]]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,3,3],[3]]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,2,2],[3]]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,2,3],[2]]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,2,3],[3]]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,2,3,3],[2]]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
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[[2,4,4,5],[5]]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,4,5,5],[4]]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,4,5,5],[5]]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,5,5,5],[4]]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[2,5,5,5],[5]]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,3,3,3],[5]]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[[3,3,3,4],[5]]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[[3,3,3,5],[4]]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,3,3,5],[5]]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,3,4,4],[5]]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[[3,3,4,5],[4]]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,3,4,5],[5]]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,3,5,5],[4]]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,3,5,5],[5]]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,4,4,4],[5]]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[[3,4,4,5],[4]]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,4,4,5],[5]]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,4,5,5],[4]]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,4,5,5],[5]]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,5,5,5],[4]]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[3,5,5,5],[5]]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[4,4,4,4],[5]]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[[4,4,4,5],[5]]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[[4,4,5,5],[5]]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[4,5,5,5],[5]]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[[1,1,1],[2,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,1],[3,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,1],[4,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,1],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,2],[2,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[2,2]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,2],[3,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,3],[2,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[2,3]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,2],[4,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,4],[2,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[2,4]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,2],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[2,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,3],[3,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[3,3]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,3],[4,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,4],[3,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[3,4]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,3],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[3,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,4],[4,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[4,4]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,4],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[4,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,5],[5,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2],[2,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2],[3,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,3],[2,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,5],[2,3]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2],[4,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,4],[2,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,5],[2,4]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,2],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,5],[2,5]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,3],[3,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,5],[3,3]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,3],[2,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,3],[4,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,4],[3,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,5],[3,4]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,4],[2,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,5],[2,4]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,3],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,5],[3,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,5],[2,5]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,4],[4,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,5],[4,4]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,4],[2,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,4],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,5],[4,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,5],[2,5]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,2,5],[5,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,3],[3,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,3],[4,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,4],[3,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,5],[3,4]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,3],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,5],[3,5]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,4],[4,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,5],[4,4]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,4],[3,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,4],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,5],[4,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,5],[3,5]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,3,5],[5,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,4],[4,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,4],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,5],[4,5]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,4,5],[5,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,2],[3,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,2],[4,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,2],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,3],[3,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,5],[3,3]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,3],[4,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,4],[3,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,5],[3,4]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,3],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,5],[3,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,4],[4,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,5],[4,4]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,4],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,5],[4,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,2,5],[5,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,3],[3,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,3],[4,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,4],[3,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,5],[3,4]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,3],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,5],[3,5]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,4],[4,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,5],[4,4]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,4,4],[3,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,4],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,5],[4,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,4,5],[3,5]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,3,5],[5,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,4,4],[4,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[2,4,4],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[2,4,5],[4,5]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[2,4,5],[5,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[3,3,3],[4,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[3,3,3],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[3,3,4],[4,5]]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[[3,3,5],[4,4]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[3,3,4],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[3,3,5],[4,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[3,3,5],[5,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[3,4,4],[4,5]]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[[3,4,4],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[3,4,5],[4,5]]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[[3,4,5],[5,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[4,4,4],[5,5]]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[[4,4,5],[5,5]]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[[1,1,1],[2],[5]]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[[1,1,1],[3],[5]]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[[1,1,1],[4],[5]]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[[1,1,2],[2],[5]]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[[1,1,2],[3],[5]]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[[1,1,3],[2],[5]]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[[1,1,5],[2],[3]]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[[1,1,2],[4],[5]]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[[1,1,4],[2],[5]]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[[1,1,5],[2],[4]]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[[1,1,5],[2],[5]]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[[1,1,3],[3],[5]]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[[1,1,3],[4],[5]]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[[1,1,4],[3],[5]]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[[1,1,5],[3],[4]]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[[1,1,5],[3],[5]]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[[1,1,4],[4],[5]]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[[1,1,5],[4],[5]]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[[1,2,2],[2],[5]]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[[1,2,2],[3],[5]]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[[1,2,3],[2],[5]]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[[1,2,5],[2],[3]]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[[1,2,2],[4],[5]]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[[1,2,4],[2],[5]]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[[1,2,5],[2],[4]]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[[1,2,5],[2],[5]]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[[1,2,3],[3],[5]]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[[1,3,3],[2],[5]]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[[1,3,5],[2],[3]]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[[1,2,5],[3],[5]]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[[1,3,5],[2],[5]]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[[1,5,5],[2],[3]]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[[1,2,4],[4],[5]]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[[1,4,4],[2],[5]]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[[1,4,5],[2],[4]]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[[1,2,5],[4],[5]]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[[1,4,5],[2],[5]]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[[1,5,5],[2],[4]]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[[1,5,5],[2],[5]]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[[1,3,3],[3],[5]]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[[1,3,3],[4],[5]]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[[1,3,4],[3],[5]]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[[1,3,5],[3],[4]]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[[1,3,5],[3],[5]]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[[1,3,4],[4],[5]]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[[1,4,4],[3],[5]]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[[1,4,5],[3],[4]]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[[1,3,5],[4],[5]]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[[1,4,5],[3],[5]]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[[1,5,5],[3],[4]]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[[1,5,5],[3],[5]]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[[1,4,4],[4],[5]]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[[1,4,5],[4],[5]]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[[1,5,5],[4],[5]]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[[2,2,2],[3],[5]]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[[2,2,2],[4],[5]]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[[2,2,3],[3],[5]]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[[2,2,3],[4],[5]]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[[2,2,4],[3],[5]]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[[2,2,5],[3],[4]]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[[2,2,5],[3],[5]]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[[2,2,4],[4],[5]]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[[2,2,5],[4],[5]]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
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[[1,2,2,2,4],[3]]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,3,4],[2]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,2,4],[4]]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,4,4],[2]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,3,3],[4]]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,3,4],[3]]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,3,4],[2]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,3,4],[4]]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,4,4],[3]]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,4,4],[2]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,2,4,4],[4]]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,4,4,4],[2]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,3,3],[4]]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,3,4],[3]]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,3,3,4],[2]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,3,4],[4]]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,4,4],[3]]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,3,4,4],[2]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,4,4],[4]]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,4,4,4],[3]]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,4,4,4],[2]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,4,4,4],[4]]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,4,4,4,4],[2]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,3,3,4],[3]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,3,4,4],[3]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,4,4,4],[3]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,4,4,4,4],[3]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,2,2,2],[4]]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,2,2,3],[4]]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,2,2,4],[3]]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,2,2,4],[4]]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,2,3,3],[4]]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,2,3,4],[3]]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,2,3,4],[4]]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,2,4,4],[3]]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,2,4,4],[4]]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,3,3,3],[4]]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,3,3,4],[3]]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,3,3,4],[4]]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,3,4,4],[3]]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,3,4,4],[4]]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,4,4,4],[3]]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,2,4,4,4],[4]]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,3,3,3,4],[3]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,3,3,4,4],[3]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,3,4,4,4],[3]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,4,4,4,4],[3]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[2,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[3,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[3,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[3,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[3,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[3,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,1],[3,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,1],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,2],[2,4]]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,4],[2,2]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,2],[3,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,3],[2,4]]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,4],[2,3]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,2],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,4],[2,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,3],[3,4]]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,4],[3,3]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,3],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,4],[3,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,4],[4,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,2],[2,4]]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,4],[2,2]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,2],[3,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,3],[2,4]]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,4],[2,3]]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,4],[2,2]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,2],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,4],[2,4]]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,4,4],[2,2]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,3],[3,4]]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,4],[3,3]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,3],[2,4]]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,4],[2,3]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,3],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,4],[3,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,4],[2,4]]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,4,4],[2,3]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,2,4],[4,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,4,4],[2,4]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,3],[3,4]]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,4],[3,3]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,3],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,4],[3,4]]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,4,4],[3,3]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,3,4],[4,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,4,4],[3,4]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,4,4],[4,4]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,2],[2,4]]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,3],[2,4]]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,4],[2,3]]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,4],[2,4]]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,3,3],[2,4]]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,3,4],[2,3]]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,3,4],[2,4]]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,4,4],[2,3]]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,4,4],[2,4]]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,3,3],[2,4]]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,3,4],[2,4]]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,4,4],[2,4]]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[2,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[3,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[3,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[3,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,1,1,1],[2],[4]]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,1,1],[3],[4]]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,1,2],[2],[4]]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,1,2],[3],[4]]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,1,3],[2],[4]]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,1,4],[2],[3]]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,1,4],[2],[4]]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,1,3],[3],[4]]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,1,4],[3],[4]]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,2,2],[2],[4]]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,2,3],[2],[4]]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,2,4],[2],[3]]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,2,4],[2],[4]]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,3,3],[2],[4]]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,3,4],[2],[3]]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,3,4],[2],[4]]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,4,4],[2],[3]]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,4,4],[2],[4]]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
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[[1,1,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
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[[1,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
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[[1,2,2,4],[2],[3]]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,2,2,4],[2],[4]]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,2,3,3],[2],[4]]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
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[[1,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
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[[1,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,3,4,4],[2],[4]]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,4,4,4],[2],[3]]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,4,4,4],[2],[4]]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[2,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[[2,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[2,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[2,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[2,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[2,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[2,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[2,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[2,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[2,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,1,1],[2,2,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[2,3,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[2,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[3,3,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[3,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[4,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2],[2,2,4]]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2],[2,3,4]]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3],[2,2,4]]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2],[2,4,4]]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2],[3,3,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3],[2,3,4]]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2],[3,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3],[2,4,4]]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,2],[4,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3],[3,3,4]]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3],[3,4,4]]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,3],[4,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,2],[2,3,4]]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,2],[2,4,4]]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3],[2,3,4]]=>[2,4,6,1,3,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3],[2,4,4]]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,3,3],[2,4,4]]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[2,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[2,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[2,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[3,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,1,1],[2,2],[4]]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,1],[2,3],[4]]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,1],[2,4],[3]]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,1],[2,4],[4]]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,1],[3,3],[4]]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,1],[3,4],[4]]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,2],[2,2],[4]]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,2],[2,3],[4]]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,2],[2,4],[3]]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,3],[2,2],[4]]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,4],[2,2],[3]]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,2],[2,4],[4]]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,4],[2,2],[4]]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,3],[2,3],[4]]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,3],[2,4],[3]]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,4],[2,3],[3]]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,3],[2,4],[4]]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,4],[2,3],[4]]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,4],[2,4],[3]]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,4],[2,4],[4]]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,2],[2,3],[4]]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,2],[2,4],[3]]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,2],[2,4],[4]]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,3],[2,3],[4]]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,3],[2,4],[3]]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,4],[2,3],[3]]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,3],[2,4],[4]]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,4],[2,3],[4]]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,4],[2,4],[3]]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,4],[2,4],[4]]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3,3],[2,4],[3]]=>[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3,3],[2,4],[4]]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3,4],[2,4],[3]]=>[3,2,5,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3,4],[2,4],[4]]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[2,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[2,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[2,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[2,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[2,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[2,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[2,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[2,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,1,1],[2],[3],[4]]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,1,2],[2],[3],[4]]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,1,3],[2],[3],[4]]=>[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,1,4],[2],[3],[4]]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,2,2],[2],[3],[4]]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,2,3],[2],[3],[4]]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,2,4],[2],[3],[4]]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,3,3],[2],[3],[4]]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,3,4],[2],[3],[4]]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,4,4],[2],[3],[4]]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,1],[2,2],[3,4]]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,1],[2,2],[4,4]]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,1],[2,3],[3,4]]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,1],[2,3],[4,4]]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,1],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,2],[2,3],[3,4]]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,2],[2,3],[4,4]]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[[2,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,1],[2,2],[3],[4]]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,1],[2,3],[3],[4]]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,1],[2,4],[3],[4]]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,2],[2,3],[3],[4]]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,2],[2,4],[3],[4]]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,3],[2,4],[3],[4]]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,1,1,1,1,1,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,2,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,3,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,2,2,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,2,3,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,3,3,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,2,2,3,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[[1,1,1,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[2,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[[1,1,1,1,1,1,1],[2]]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,1,2],[2]]=>[7,1,2,3,4,5,6,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,2,2],[2]]=>[6,1,2,3,4,5,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,2,2,2],[2]]=>[5,1,2,3,4,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,2,2,2,2],[2]]=>[4,1,2,3,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,2,2,2,2],[2]]=>[3,1,2,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,2,2,2,2,2,2],[2]]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,1,1],[2,2]]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,1,2],[2,2]]=>[6,7,1,2,3,4,5,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,2,2,2],[2,2]]=>[4,5,1,2,3,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,1,2,2,2,2],[2,2]]=>[3,4,1,2,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[[1,1,1,1,1],[2,2,2]]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,1,1,1,2],[2,2,2]]=>[5,6,7,1,2,3,4,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,1,1,2,2],[2,2,2]]=>[4,5,6,1,2,3,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[[1,1,1,1],[2,2,2,2]]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[[1]]=>[1]=>[.,.]
[[1,1,1,1],[2,2,2],[3,3],[4]]=>[10,8,9,5,6,7,1,2,3,4]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2],[2,2,2],[3,3],[4]]=>[10,8,9,4,5,6,1,2,3,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,1],[2,2,3],[3,3],[4]]=>[10,7,8,5,6,9,1,2,3,4]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2],[2,2,3],[3,3],[4]]=>[10,7,8,4,5,9,1,2,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,3],[2,2,3],[3,3],[4]]=>[10,6,7,4,5,8,1,2,3,9]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,2],[2,2,3],[3,3],[4]]=>[10,7,8,3,4,9,1,2,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,3],[2,2,3],[3,3],[4]]=>[10,6,7,3,4,8,1,2,5,9]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,1],[2,2,2],[3,4],[4]]=>[9,8,10,5,6,7,1,2,3,4]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2],[2,2,2],[3,4],[4]]=>[9,8,10,4,5,6,1,2,3,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,1],[2,2,3],[3,4],[4]]=>[9,7,10,5,6,8,1,2,3,4]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2],[2,2,3],[3,4],[4]]=>[9,7,10,4,5,8,1,2,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,3],[2,2,3],[3,4],[4]]=>[9,6,10,4,5,7,1,2,3,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,2],[2,2,3],[3,4],[4]]=>[9,7,10,3,4,8,1,2,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,3],[2,2,3],[3,4],[4]]=>[9,6,10,3,4,7,1,2,5,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,1],[2,2,4],[3,4],[4]]=>[8,7,9,5,6,10,1,2,3,4]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2],[2,2,4],[3,4],[4]]=>[8,7,9,4,5,10,1,2,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,3],[2,2,4],[3,4],[4]]=>[8,6,9,4,5,10,1,2,3,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,4],[2,2,4],[3,4],[4]]=>[7,6,8,4,5,9,1,2,3,10]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,2],[2,2,4],[3,4],[4]]=>[8,7,9,3,4,10,1,2,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,3],[2,2,4],[3,4],[4]]=>[8,6,9,3,4,10,1,2,5,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,4],[2,2,4],[3,4],[4]]=>[7,6,8,3,4,9,1,2,5,10]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,1],[2,3,3],[3,4],[4]]=>[9,6,10,5,7,8,1,2,3,4]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2],[2,3,3],[3,4],[4]]=>[9,6,10,4,7,8,1,2,3,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,3],[2,3,3],[3,4],[4]]=>[9,5,10,4,6,7,1,2,3,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,2],[2,3,3],[3,4],[4]]=>[9,6,10,3,7,8,1,2,4,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,3],[2,3,3],[3,4],[4]]=>[9,5,10,3,6,7,1,2,4,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,1],[2,3,4],[3,4],[4]]=>[8,6,9,5,7,10,1,2,3,4]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,2],[2,3,4],[3,4],[4]]=>[8,6,9,4,7,10,1,2,3,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,3],[2,3,4],[3,4],[4]]=>[8,5,9,4,6,10,1,2,3,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,1,4],[2,3,4],[3,4],[4]]=>[7,5,8,4,6,9,1,2,3,10]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,2],[2,3,4],[3,4],[4]]=>[8,6,9,3,7,10,1,2,4,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,3],[2,3,4],[3,4],[4]]=>[8,5,9,3,6,10,1,2,4,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,2,4],[2,3,4],[3,4],[4]]=>[7,5,8,3,6,9,1,2,4,10]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,3,3],[2,3,4],[3,4],[4]]=>[8,4,9,3,5,10,1,2,6,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,1,3,4],[2,3,4],[3,4],[4]]=>[7,4,8,3,5,9,1,2,6,10]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,2,2],[2,3,3],[3,4],[4]]=>[9,6,10,2,7,8,1,3,4,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,2,3],[2,3,3],[3,4],[4]]=>[9,5,10,2,6,7,1,3,4,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,2,2],[2,3,4],[3,4],[4]]=>[8,6,9,2,7,10,1,3,4,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,2,3],[2,3,4],[3,4],[4]]=>[8,5,9,2,6,10,1,3,4,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,2,4],[2,3,4],[3,4],[4]]=>[7,5,8,2,6,9,1,3,4,10]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,3,3],[2,3,4],[3,4],[4]]=>[8,4,9,2,5,10,1,3,6,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[1,2,3,4],[2,3,4],[3,4],[4]]=>[7,4,8,2,5,9,1,3,6,10]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[[2]]=>[1]=>[.,.]
[[1,1]]=>[1,2]=>[.,[.,.]]
[[3]]=>[1]=>[.,.]
[[1,1,1]]=>[1,2,3]=>[.,[.,[.,.]]]
[[4]]=>[1]=>[.,.]
[[1,1,1,1]]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[[5]]=>[1]=>[.,.]
[[1,1,1,1,1]]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[[6]]=>[1]=>[.,.]
[[1,1,1,1,1,1]]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]
[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]
[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]
[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[[1,1,1,1,2,2,2],[3,3],[4]]=>[10,8,9,1,2,3,4,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,2,2,2,2],[3,3],[4]]=>[10,8,9,1,2,3,4,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,1,2,2,3],[3,3],[4]]=>[10,7,8,1,2,3,4,5,6,9]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,1,2,2,2,3],[3,3],[4]]=>[10,7,8,1,2,3,4,5,6,9]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[[1,1,2,2,2,2,3],[3,3],[4]]=>[10,7,8,1,2,3,4,5,6,9]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
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
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
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