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Map identifier: Mp00107

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Map name: catabolism

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Domain: Semistandard tableaux

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Codomain: Semistandard tableaux

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Description: Remove the first row of the semistandard tableau and insert it back using column Schensted insertion, starting with the largest number.

The algorithm for column-inserting an entry $k$ into tableau $T$ is as follows: 

If $k$ is larger than all entries in the first column, place $k$ at the bottom of the first column and the procedure is finished. Otherwise, place $k$ in the first column, replacing the smallest entry, $y$, greater or equal to than $k$. Now insert $y$ into the second column using the same procedure: if $y$ is greater than all entries in the second column, place it at the bottom of that column (provided that the result is still a tableau). Otherwise, place $y$ in the second column, replacing, or 'bumping', the smallest entry, $z$, larger than or equal to $y$. Continue the procedure until we have placed a bumped entry at the bottom of a column (or on its own in a new column).

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References: [1]   O'Connell, N., Pei, Y. A q-weighted version of the Robinson-Schensted algorithm [[arXiv:1212.6716]]

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Code:

def mapping(elt):
    return elt.catabolism()

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Map images:

[[1,2]]             => [[1,2]]
[[2,2]]             => [[2,2]]
[[1],[2]]           => [[1,2]]
[[1,3]]             => [[1,3]]
[[2,3]]             => [[2,3]]
[[3,3]]             => [[3,3]]
[[1],[3]]           => [[1,3]]
[[2],[3]]           => [[2,3]]
[[1,4]]             => [[1,4]]
[[2,4]]             => [[2,4]]
[[3,4]]             => [[3,4]]
[[4,4]]             => [[4,4]]
[[1],[4]]           => [[1,4]]
[[2],[4]]           => [[2,4]]
[[3],[4]]           => [[3,4]]
[[1,5]]             => [[1,5]]
[[2,5]]             => [[2,5]]
[[3,5]]             => [[3,5]]
[[4,5]]             => [[4,5]]
[[5,5]]             => [[5,5]]
[[1],[5]]           => [[1,5]]
[[2],[5]]           => [[2,5]]
[[3],[5]]           => [[3,5]]
[[4],[5]]           => [[4,5]]
[[1,6]]             => [[1,6]]
[[2,6]]             => [[2,6]]
[[3,6]]             => [[3,6]]
[[4,6]]             => [[4,6]]
[[5,6]]             => [[5,6]]
[[6,6]]             => [[6,6]]
[[1],[6]]           => [[1,6]]
[[2],[6]]           => [[2,6]]
[[3],[6]]           => [[3,6]]
[[4],[6]]           => [[4,6]]
[[5],[6]]           => [[5,6]]
[[1,7]]             => [[1,7]]
[[2,7]]             => [[2,7]]
[[3,7]]             => [[3,7]]
[[4,7]]             => [[4,7]]
[[5,7]]             => [[5,7]]
[[6,7]]             => [[6,7]]
[[7,7]]             => [[7,7]]
[[1],[7]]           => [[1,7]]
[[2],[7]]           => [[2,7]]
[[3],[7]]           => [[3,7]]
[[4],[7]]           => [[4,7]]
[[5],[7]]           => [[5,7]]
[[6],[7]]           => [[6,7]]
[[1,8]]             => [[1,8]]
[[2,8]]             => [[2,8]]
[[3,8]]             => [[3,8]]
[[4,8]]             => [[4,8]]
[[5,8]]             => [[5,8]]
[[6,8]]             => [[6,8]]
[[7,8]]             => [[7,8]]
[[8,8]]             => [[8,8]]
[[1],[8]]           => [[1,8]]
[[2],[8]]           => [[2,8]]
[[3],[8]]           => [[3,8]]
[[4],[8]]           => [[4,8]]
[[5],[8]]           => [[5,8]]
[[6],[8]]           => [[6,8]]
[[7],[8]]           => [[7,8]]
[[1,1,2]]           => [[1,1,2]]
[[1,2,2]]           => [[1,2,2]]
[[2,2,2]]           => [[2,2,2]]
[[1,1],[2]]         => [[1,1,2]]
[[1,2],[2]]         => [[1,2,2]]
[[1,1,3]]           => [[1,1,3]]
[[1,2,3]]           => [[1,2,3]]
[[1,3,3]]           => [[1,3,3]]
[[2,2,3]]           => [[2,2,3]]
[[2,3,3]]           => [[2,3,3]]
[[3,3,3]]           => [[3,3,3]]
[[1,1],[3]]         => [[1,1,3]]
[[1,2],[3]]         => [[1,2,3]]
[[1,3],[2]]         => [[1,2],[3]]
[[1,3],[3]]         => [[1,3,3]]
[[2,2],[3]]         => [[2,2,3]]
[[2,3],[3]]         => [[2,3,3]]
[[1],[2],[3]]       => [[1,2],[3]]
[[1,1,4]]           => [[1,1,4]]
[[1,2,4]]           => [[1,2,4]]
[[1,3,4]]           => [[1,3,4]]
[[1,4,4]]           => [[1,4,4]]
[[2,2,4]]           => [[2,2,4]]
[[2,3,4]]           => [[2,3,4]]
[[2,4,4]]           => [[2,4,4]]
[[3,3,4]]           => [[3,3,4]]
[[3,4,4]]           => [[3,4,4]]
[[4,4,4]]           => [[4,4,4]]
[[1,1],[4]]         => [[1,1,4]]
[[1,2],[4]]         => [[1,2,4]]
[[1,4],[2]]         => [[1,2],[4]]
[[1,3],[4]]         => [[1,3,4]]
[[1,4],[3]]         => [[1,3],[4]]
[[1,4],[4]]         => [[1,4,4]]
[[2,2],[4]]         => [[2,2,4]]
[[2,3],[4]]         => [[2,3,4]]
[[2,4],[3]]         => [[2,3],[4]]
[[2,4],[4]]         => [[2,4,4]]
[[3,3],[4]]         => [[3,3,4]]
[[3,4],[4]]         => [[3,4,4]]
[[1],[2],[4]]       => [[1,2],[4]]
[[1],[3],[4]]       => [[1,3],[4]]
[[2],[3],[4]]       => [[2,3],[4]]
[[1,1,5]]           => [[1,1,5]]
[[1,2,5]]           => [[1,2,5]]
[[1,3,5]]           => [[1,3,5]]
[[1,4,5]]           => [[1,4,5]]
[[1,5,5]]           => [[1,5,5]]
[[2,2,5]]           => [[2,2,5]]
[[2,3,5]]           => [[2,3,5]]
[[2,4,5]]           => [[2,4,5]]
[[2,5,5]]           => [[2,5,5]]
[[3,3,5]]           => [[3,3,5]]
[[3,4,5]]           => [[3,4,5]]
[[3,5,5]]           => [[3,5,5]]
[[4,4,5]]           => [[4,4,5]]
[[4,5,5]]           => [[4,5,5]]
[[5,5,5]]           => [[5,5,5]]
[[1,1],[5]]         => [[1,1,5]]
[[1,2],[5]]         => [[1,2,5]]
[[1,5],[2]]         => [[1,2],[5]]
[[1,3],[5]]         => [[1,3,5]]
[[1,5],[3]]         => [[1,3],[5]]
[[1,4],[5]]         => [[1,4,5]]
[[1,5],[4]]         => [[1,4],[5]]
[[1,5],[5]]         => [[1,5,5]]
[[2,2],[5]]         => [[2,2,5]]
[[2,3],[5]]         => [[2,3,5]]
[[2,5],[3]]         => [[2,3],[5]]
[[2,4],[5]]         => [[2,4,5]]
[[2,5],[4]]         => [[2,4],[5]]
[[2,5],[5]]         => [[2,5,5]]
[[3,3],[5]]         => [[3,3,5]]
[[3,4],[5]]         => [[3,4,5]]
[[3,5],[4]]         => [[3,4],[5]]
[[3,5],[5]]         => [[3,5,5]]
[[4,4],[5]]         => [[4,4,5]]
[[4,5],[5]]         => [[4,5,5]]
[[1],[2],[5]]       => [[1,2],[5]]
[[1],[3],[5]]       => [[1,3],[5]]
[[1],[4],[5]]       => [[1,4],[5]]
[[2],[3],[5]]       => [[2,3],[5]]
[[2],[4],[5]]       => [[2,4],[5]]
[[3],[4],[5]]       => [[3,4],[5]]
[[1,1,6]]           => [[1,1,6]]
[[1,2,6]]           => [[1,2,6]]
[[1,3,6]]           => [[1,3,6]]
[[1,4,6]]           => [[1,4,6]]
[[1,5,6]]           => [[1,5,6]]
[[1,6,6]]           => [[1,6,6]]
[[2,2,6]]           => [[2,2,6]]
[[2,3,6]]           => [[2,3,6]]
[[2,4,6]]           => [[2,4,6]]
[[2,5,6]]           => [[2,5,6]]
[[2,6,6]]           => [[2,6,6]]
[[3,3,6]]           => [[3,3,6]]
[[3,4,6]]           => [[3,4,6]]
[[3,5,6]]           => [[3,5,6]]
[[3,6,6]]           => [[3,6,6]]
[[4,4,6]]           => [[4,4,6]]
[[4,5,6]]           => [[4,5,6]]
[[4,6,6]]           => [[4,6,6]]
[[5,5,6]]           => [[5,5,6]]
[[5,6,6]]           => [[5,6,6]]
[[6,6,6]]           => [[6,6,6]]
[[1,1],[6]]         => [[1,1,6]]
[[1,2],[6]]         => [[1,2,6]]
[[1,6],[2]]         => [[1,2],[6]]
[[1,3],[6]]         => [[1,3,6]]
[[1,6],[3]]         => [[1,3],[6]]
[[1,4],[6]]         => [[1,4,6]]
[[1,6],[4]]         => [[1,4],[6]]
[[1,5],[6]]         => [[1,5,6]]
[[1,6],[5]]         => [[1,5],[6]]
[[1,6],[6]]         => [[1,6,6]]
[[2,2],[6]]         => [[2,2,6]]
[[2,3],[6]]         => [[2,3,6]]
[[2,6],[3]]         => [[2,3],[6]]
[[2,4],[6]]         => [[2,4,6]]
[[2,6],[4]]         => [[2,4],[6]]
[[2,5],[6]]         => [[2,5,6]]
[[2,6],[5]]         => [[2,5],[6]]
[[2,6],[6]]         => [[2,6,6]]
[[3,3],[6]]         => [[3,3,6]]
[[3,4],[6]]         => [[3,4,6]]
[[3,6],[4]]         => [[3,4],[6]]
[[3,5],[6]]         => [[3,5,6]]
[[3,6],[5]]         => [[3,5],[6]]
[[3,6],[6]]         => [[3,6,6]]
[[4,4],[6]]         => [[4,4,6]]
[[4,5],[6]]         => [[4,5,6]]
[[4,6],[5]]         => [[4,5],[6]]
[[4,6],[6]]         => [[4,6,6]]
[[5,5],[6]]         => [[5,5,6]]
[[5,6],[6]]         => [[5,6,6]]
[[1],[2],[6]]       => [[1,2],[6]]
[[1],[3],[6]]       => [[1,3],[6]]
[[1],[4],[6]]       => [[1,4],[6]]
[[1],[5],[6]]       => [[1,5],[6]]
[[2],[3],[6]]       => [[2,3],[6]]
[[2],[4],[6]]       => [[2,4],[6]]
[[2],[5],[6]]       => [[2,5],[6]]
[[3],[4],[6]]       => [[3,4],[6]]
[[3],[5],[6]]       => [[3,5],[6]]
[[4],[5],[6]]       => [[4,5],[6]]
[[1,1,7]]           => [[1,1,7]]
[[1,2,7]]           => [[1,2,7]]
[[1,3,7]]           => [[1,3,7]]
[[1,4,7]]           => [[1,4,7]]
[[1,5,7]]           => [[1,5,7]]
[[1,6,7]]           => [[1,6,7]]
[[1,7,7]]           => [[1,7,7]]
[[2,2,7]]           => [[2,2,7]]
[[2,3,7]]           => [[2,3,7]]
[[2,4,7]]           => [[2,4,7]]
[[2,5,7]]           => [[2,5,7]]
[[2,6,7]]           => [[2,6,7]]
[[2,7,7]]           => [[2,7,7]]
[[3,3,7]]           => [[3,3,7]]
[[3,4,7]]           => [[3,4,7]]
[[3,5,7]]           => [[3,5,7]]
[[3,6,7]]           => [[3,6,7]]
[[3,7,7]]           => [[3,7,7]]
[[4,4,7]]           => [[4,4,7]]
[[4,5,7]]           => [[4,5,7]]
[[4,6,7]]           => [[4,6,7]]
[[4,7,7]]           => [[4,7,7]]
[[5,5,7]]           => [[5,5,7]]
[[5,6,7]]           => [[5,6,7]]
[[5,7,7]]           => [[5,7,7]]
[[6,6,7]]           => [[6,6,7]]
[[6,7,7]]           => [[6,7,7]]
[[7,7,7]]           => [[7,7,7]]
[[1,1],[7]]         => [[1,1,7]]
[[1,2],[7]]         => [[1,2,7]]
[[1,7],[2]]         => [[1,2],[7]]
[[1,3],[7]]         => [[1,3,7]]
[[1,7],[3]]         => [[1,3],[7]]
[[1,4],[7]]         => [[1,4,7]]
[[1,7],[4]]         => [[1,4],[7]]
[[1,5],[7]]         => [[1,5,7]]
[[1,7],[5]]         => [[1,5],[7]]
[[1,6],[7]]         => [[1,6,7]]
[[1,7],[6]]         => [[1,6],[7]]
[[1,7],[7]]         => [[1,7,7]]
[[2,2],[7]]         => [[2,2,7]]
[[2,3],[7]]         => [[2,3,7]]
[[2,7],[3]]         => [[2,3],[7]]
[[2,4],[7]]         => [[2,4,7]]
[[2,7],[4]]         => [[2,4],[7]]
[[2,5],[7]]         => [[2,5,7]]
[[2,7],[5]]         => [[2,5],[7]]
[[2,6],[7]]         => [[2,6,7]]
[[2,7],[6]]         => [[2,6],[7]]
[[2,7],[7]]         => [[2,7,7]]
[[3,3],[7]]         => [[3,3,7]]
[[3,4],[7]]         => [[3,4,7]]
[[3,7],[4]]         => [[3,4],[7]]
[[3,5],[7]]         => [[3,5,7]]
[[3,7],[5]]         => [[3,5],[7]]
[[3,6],[7]]         => [[3,6,7]]
[[3,7],[6]]         => [[3,6],[7]]
[[3,7],[7]]         => [[3,7,7]]
[[4,4],[7]]         => [[4,4,7]]
[[4,5],[7]]         => [[4,5,7]]
[[4,7],[5]]         => [[4,5],[7]]
[[4,6],[7]]         => [[4,6,7]]
[[4,7],[6]]         => [[4,6],[7]]
[[4,7],[7]]         => [[4,7,7]]
[[5,5],[7]]         => [[5,5,7]]
[[5,6],[7]]         => [[5,6,7]]
[[5,7],[6]]         => [[5,6],[7]]
[[5,7],[7]]         => [[5,7,7]]
[[6,6],[7]]         => [[6,6,7]]
[[6,7],[7]]         => [[6,7,7]]
[[1],[2],[7]]       => [[1,2],[7]]
[[1],[3],[7]]       => [[1,3],[7]]
[[1],[4],[7]]       => [[1,4],[7]]
[[1],[5],[7]]       => [[1,5],[7]]
[[1],[6],[7]]       => [[1,6],[7]]
[[2],[3],[7]]       => [[2,3],[7]]
[[2],[4],[7]]       => [[2,4],[7]]
[[2],[5],[7]]       => [[2,5],[7]]
[[2],[6],[7]]       => [[2,6],[7]]
[[3],[4],[7]]       => [[3,4],[7]]
[[3],[5],[7]]       => [[3,5],[7]]
[[3],[6],[7]]       => [[3,6],[7]]
[[4],[5],[7]]       => [[4,5],[7]]
[[4],[6],[7]]       => [[4,6],[7]]
[[5],[6],[7]]       => [[5,6],[7]]
[[1,1,1,2]]         => [[1,1,1,2]]
[[1,1,2,2]]         => [[1,1,2,2]]
[[1,2,2,2]]         => [[1,2,2,2]]
[[2,2,2,2]]         => [[2,2,2,2]]
[[1,1,1],[2]]       => [[1,1,1,2]]
[[1,1,2],[2]]       => [[1,1,2,2]]
[[1,2,2],[2]]       => [[1,2,2,2]]
[[1,1],[2,2]]       => [[1,1,2,2]]
[[1,1,1,3]]         => [[1,1,1,3]]
[[1,1,2,3]]         => [[1,1,2,3]]
[[1,1,3,3]]         => [[1,1,3,3]]
[[1,2,2,3]]         => [[1,2,2,3]]
[[1,2,3,3]]         => [[1,2,3,3]]
[[1,3,3,3]]         => [[1,3,3,3]]
[[2,2,2,3]]         => [[2,2,2,3]]
[[2,2,3,3]]         => [[2,2,3,3]]
[[2,3,3,3]]         => [[2,3,3,3]]
[[3,3,3,3]]         => [[3,3,3,3]]
[[1,1,1],[3]]       => [[1,1,1,3]]
[[1,1,2],[3]]       => [[1,1,2,3]]
[[1,1,3],[2]]       => [[1,1,2],[3]]
[[1,1,3],[3]]       => [[1,1,3,3]]
[[1,2,2],[3]]       => [[1,2,2,3]]
[[1,2,3],[2]]       => [[1,2,2],[3]]
[[1,2,3],[3]]       => [[1,2,3,3]]
[[1,3,3],[2]]       => [[1,2,3],[3]]
[[1,3,3],[3]]       => [[1,3,3,3]]
[[2,2,2],[3]]       => [[2,2,2,3]]
[[2,2,3],[3]]       => [[2,2,3,3]]
[[2,3,3],[3]]       => [[2,3,3,3]]
[[1,1],[2,3]]       => [[1,1,2,3]]
[[1,1],[3,3]]       => [[1,1,3,3]]
[[1,2],[2,3]]       => [[1,2,2,3]]
[[1,2],[3,3]]       => [[1,2,3,3]]
[[2,2],[3,3]]       => [[2,2,3,3]]
[[1,1],[2],[3]]     => [[1,1,2],[3]]
[[1,2],[2],[3]]     => [[1,2,2],[3]]
[[1,3],[2],[3]]     => [[1,2,3],[3]]
[[1,1,1,4]]         => [[1,1,1,4]]
[[1,1,2,4]]         => [[1,1,2,4]]
[[1,1,3,4]]         => [[1,1,3,4]]
[[1,1,4,4]]         => [[1,1,4,4]]
[[1,2,2,4]]         => [[1,2,2,4]]
[[1,2,3,4]]         => [[1,2,3,4]]
[[1,2,4,4]]         => [[1,2,4,4]]
[[1,3,3,4]]         => [[1,3,3,4]]
[[1,3,4,4]]         => [[1,3,4,4]]
[[1,4,4,4]]         => [[1,4,4,4]]
[[2,2,2,4]]         => [[2,2,2,4]]
[[2,2,3,4]]         => [[2,2,3,4]]
[[2,2,4,4]]         => [[2,2,4,4]]
[[2,3,3,4]]         => [[2,3,3,4]]
[[2,3,4,4]]         => [[2,3,4,4]]
[[2,4,4,4]]         => [[2,4,4,4]]
[[3,3,3,4]]         => [[3,3,3,4]]
[[3,3,4,4]]         => [[3,3,4,4]]
[[3,4,4,4]]         => [[3,4,4,4]]
[[4,4,4,4]]         => [[4,4,4,4]]
[[1,1,1],[4]]       => [[1,1,1,4]]
[[1,1,2],[4]]       => [[1,1,2,4]]
[[1,1,4],[2]]       => [[1,1,2],[4]]
[[1,1,3],[4]]       => [[1,1,3,4]]
[[1,1,4],[3]]       => [[1,1,3],[4]]
[[1,1,4],[4]]       => [[1,1,4,4]]
[[1,2,2],[4]]       => [[1,2,2,4]]
[[1,2,4],[2]]       => [[1,2,2],[4]]
[[1,2,3],[4]]       => [[1,2,3,4]]
[[1,2,4],[3]]       => [[1,2,3],[4]]
[[1,3,4],[2]]       => [[1,2,4],[3]]
[[1,2,4],[4]]       => [[1,2,4,4]]
[[1,4,4],[2]]       => [[1,2,4],[4]]
[[1,3,3],[4]]       => [[1,3,3,4]]
[[1,3,4],[3]]       => [[1,3,3],[4]]
[[1,3,4],[4]]       => [[1,3,4,4]]
[[1,4,4],[3]]       => [[1,3,4],[4]]
[[1,4,4],[4]]       => [[1,4,4,4]]
[[2,2,2],[4]]       => [[2,2,2,4]]
[[2,2,3],[4]]       => [[2,2,3,4]]
[[2,2,4],[3]]       => [[2,2,3],[4]]
[[2,2,4],[4]]       => [[2,2,4,4]]
[[2,3,3],[4]]       => [[2,3,3,4]]
[[2,3,4],[3]]       => [[2,3,3],[4]]
[[2,3,4],[4]]       => [[2,3,4,4]]
[[2,4,4],[3]]       => [[2,3,4],[4]]
[[2,4,4],[4]]       => [[2,4,4,4]]
[[3,3,3],[4]]       => [[3,3,3,4]]
[[3,3,4],[4]]       => [[3,3,4,4]]
[[3,4,4],[4]]       => [[3,4,4,4]]
[[1,1],[2,4]]       => [[1,1,2,4]]
[[1,1],[3,4]]       => [[1,1,3,4]]
[[1,1],[4,4]]       => [[1,1,4,4]]
[[1,2],[2,4]]       => [[1,2,2,4]]
[[1,2],[3,4]]       => [[1,2,3,4]]
[[1,3],[2,4]]       => [[1,2,4],[3]]
[[1,2],[4,4]]       => [[1,2,4,4]]
[[1,3],[3,4]]       => [[1,3,3,4]]
[[1,3],[4,4]]       => [[1,3,4,4]]
[[2,2],[3,4]]       => [[2,2,3,4]]
[[2,2],[4,4]]       => [[2,2,4,4]]
[[2,3],[3,4]]       => [[2,3,3,4]]
[[2,3],[4,4]]       => [[2,3,4,4]]
[[3,3],[4,4]]       => [[3,3,4,4]]
[[1,1],[2],[4]]     => [[1,1,2],[4]]
[[1,1],[3],[4]]     => [[1,1,3],[4]]
[[1,2],[2],[4]]     => [[1,2,2],[4]]
[[1,2],[3],[4]]     => [[1,2,3],[4]]
[[1,3],[2],[4]]     => [[1,2,4],[3]]
[[1,4],[2],[3]]     => [[1,2],[3],[4]]
[[1,4],[2],[4]]     => [[1,2,4],[4]]
[[1,3],[3],[4]]     => [[1,3,3],[4]]
[[1,4],[3],[4]]     => [[1,3,4],[4]]
[[2,2],[3],[4]]     => [[2,2,3],[4]]
[[2,3],[3],[4]]     => [[2,3,3],[4]]
[[2,4],[3],[4]]     => [[2,3,4],[4]]
[[1],[2],[3],[4]]   => [[1,2],[3],[4]]
[[1,1,1,5]]         => [[1,1,1,5]]
[[1,1,2,5]]         => [[1,1,2,5]]
[[1,1,3,5]]         => [[1,1,3,5]]
[[1,1,4,5]]         => [[1,1,4,5]]
[[1,1,5,5]]         => [[1,1,5,5]]
[[1,2,2,5]]         => [[1,2,2,5]]
[[1,2,3,5]]         => [[1,2,3,5]]
[[1,2,4,5]]         => [[1,2,4,5]]
[[1,2,5,5]]         => [[1,2,5,5]]
[[1,3,3,5]]         => [[1,3,3,5]]
[[1,3,4,5]]         => [[1,3,4,5]]
[[1,3,5,5]]         => [[1,3,5,5]]
[[1,4,4,5]]         => [[1,4,4,5]]
[[1,4,5,5]]         => [[1,4,5,5]]
[[1,5,5,5]]         => [[1,5,5,5]]
[[2,2,2,5]]         => [[2,2,2,5]]
[[2,2,3,5]]         => [[2,2,3,5]]
[[2,2,4,5]]         => [[2,2,4,5]]
[[2,2,5,5]]         => [[2,2,5,5]]
[[2,3,3,5]]         => [[2,3,3,5]]
[[2,3,4,5]]         => [[2,3,4,5]]
[[2,3,5,5]]         => [[2,3,5,5]]
[[2,4,4,5]]         => [[2,4,4,5]]
[[2,4,5,5]]         => [[2,4,5,5]]
[[2,5,5,5]]         => [[2,5,5,5]]
[[3,3,3,5]]         => [[3,3,3,5]]
[[3,3,4,5]]         => [[3,3,4,5]]
[[3,3,5,5]]         => [[3,3,5,5]]
[[3,4,4,5]]         => [[3,4,4,5]]
[[3,4,5,5]]         => [[3,4,5,5]]
[[3,5,5,5]]         => [[3,5,5,5]]
[[4,4,4,5]]         => [[4,4,4,5]]
[[4,4,5,5]]         => [[4,4,5,5]]
[[4,5,5,5]]         => [[4,5,5,5]]
[[5,5,5,5]]         => [[5,5,5,5]]
[[1,1,1],[5]]       => [[1,1,1,5]]
[[1,1,2],[5]]       => [[1,1,2,5]]
[[1,1,5],[2]]       => [[1,1,2],[5]]
[[1,1,3],[5]]       => [[1,1,3,5]]
[[1,1,5],[3]]       => [[1,1,3],[5]]
[[1,1,4],[5]]       => [[1,1,4,5]]
[[1,1,5],[4]]       => [[1,1,4],[5]]
[[1,1,5],[5]]       => [[1,1,5,5]]
[[1,2,2],[5]]       => [[1,2,2,5]]
[[1,2,5],[2]]       => [[1,2,2],[5]]
[[1,2,3],[5]]       => [[1,2,3,5]]
[[1,2,5],[3]]       => [[1,2,3],[5]]
[[1,3,5],[2]]       => [[1,2,5],[3]]
[[1,2,4],[5]]       => [[1,2,4,5]]
[[1,2,5],[4]]       => [[1,2,4],[5]]
[[1,4,5],[2]]       => [[1,2,5],[4]]
[[1,2,5],[5]]       => [[1,2,5,5]]
[[1,5,5],[2]]       => [[1,2,5],[5]]
[[1,3,3],[5]]       => [[1,3,3,5]]
[[1,3,5],[3]]       => [[1,3,3],[5]]
[[1,3,4],[5]]       => [[1,3,4,5]]
[[1,3,5],[4]]       => [[1,3,4],[5]]
[[1,4,5],[3]]       => [[1,3,5],[4]]
[[1,3,5],[5]]       => [[1,3,5,5]]
[[1,5,5],[3]]       => [[1,3,5],[5]]
[[1,4,4],[5]]       => [[1,4,4,5]]
[[1,4,5],[4]]       => [[1,4,4],[5]]
[[1,4,5],[5]]       => [[1,4,5,5]]
[[1,5,5],[4]]       => [[1,4,5],[5]]
[[1,5,5],[5]]       => [[1,5,5,5]]
[[2,2,2],[5]]       => [[2,2,2,5]]
[[2,2,3],[5]]       => [[2,2,3,5]]
[[2,2,5],[3]]       => [[2,2,3],[5]]
[[2,2,4],[5]]       => [[2,2,4,5]]
[[2,2,5],[4]]       => [[2,2,4],[5]]
[[2,2,5],[5]]       => [[2,2,5,5]]
[[2,3,3],[5]]       => [[2,3,3,5]]
[[2,3,5],[3]]       => [[2,3,3],[5]]
[[2,3,4],[5]]       => [[2,3,4,5]]
[[2,3,5],[4]]       => [[2,3,4],[5]]
[[2,4,5],[3]]       => [[2,3,5],[4]]
[[2,3,5],[5]]       => [[2,3,5,5]]
[[2,5,5],[3]]       => [[2,3,5],[5]]
[[2,4,4],[5]]       => [[2,4,4,5]]
[[2,4,5],[4]]       => [[2,4,4],[5]]
[[2,4,5],[5]]       => [[2,4,5,5]]
[[2,5,5],[4]]       => [[2,4,5],[5]]
[[2,5,5],[5]]       => [[2,5,5,5]]
[[3,3,3],[5]]       => [[3,3,3,5]]
[[3,3,4],[5]]       => [[3,3,4,5]]
[[3,3,5],[4]]       => [[3,3,4],[5]]
[[3,3,5],[5]]       => [[3,3,5,5]]
[[3,4,4],[5]]       => [[3,4,4,5]]
[[3,4,5],[4]]       => [[3,4,4],[5]]
[[3,4,5],[5]]       => [[3,4,5,5]]
[[3,5,5],[4]]       => [[3,4,5],[5]]
[[3,5,5],[5]]       => [[3,5,5,5]]
[[4,4,4],[5]]       => [[4,4,4,5]]
[[4,4,5],[5]]       => [[4,4,5,5]]
[[4,5,5],[5]]       => [[4,5,5,5]]
[[1,1],[2,5]]       => [[1,1,2,5]]
[[1,1],[3,5]]       => [[1,1,3,5]]
[[1,1],[4,5]]       => [[1,1,4,5]]
[[1,1],[5,5]]       => [[1,1,5,5]]
[[1,2],[2,5]]       => [[1,2,2,5]]
[[1,2],[3,5]]       => [[1,2,3,5]]
[[1,3],[2,5]]       => [[1,2,5],[3]]
[[1,2],[4,5]]       => [[1,2,4,5]]
[[1,4],[2,5]]       => [[1,2,5],[4]]
[[1,2],[5,5]]       => [[1,2,5,5]]
[[1,3],[3,5]]       => [[1,3,3,5]]
[[1,3],[4,5]]       => [[1,3,4,5]]
[[1,4],[3,5]]       => [[1,3,5],[4]]
[[1,3],[5,5]]       => [[1,3,5,5]]
[[1,4],[4,5]]       => [[1,4,4,5]]
[[1,4],[5,5]]       => [[1,4,5,5]]
[[2,2],[3,5]]       => [[2,2,3,5]]
[[2,2],[4,5]]       => [[2,2,4,5]]
[[2,2],[5,5]]       => [[2,2,5,5]]
[[2,3],[3,5]]       => [[2,3,3,5]]
[[2,3],[4,5]]       => [[2,3,4,5]]
[[2,4],[3,5]]       => [[2,3,5],[4]]
[[2,3],[5,5]]       => [[2,3,5,5]]
[[2,4],[4,5]]       => [[2,4,4,5]]
[[2,4],[5,5]]       => [[2,4,5,5]]
[[3,3],[4,5]]       => [[3,3,4,5]]
[[3,3],[5,5]]       => [[3,3,5,5]]
[[3,4],[4,5]]       => [[3,4,4,5]]
[[3,4],[5,5]]       => [[3,4,5,5]]
[[4,4],[5,5]]       => [[4,4,5,5]]
[[1,1],[2],[5]]     => [[1,1,2],[5]]
[[1,1],[3],[5]]     => [[1,1,3],[5]]
[[1,1],[4],[5]]     => [[1,1,4],[5]]
[[1,2],[2],[5]]     => [[1,2,2],[5]]
[[1,2],[3],[5]]     => [[1,2,3],[5]]
[[1,3],[2],[5]]     => [[1,2,5],[3]]
[[1,5],[2],[3]]     => [[1,2],[3],[5]]
[[1,2],[4],[5]]     => [[1,2,4],[5]]
[[1,4],[2],[5]]     => [[1,2,5],[4]]
[[1,5],[2],[4]]     => [[1,2],[4],[5]]
[[1,5],[2],[5]]     => [[1,2,5],[5]]
[[1,3],[3],[5]]     => [[1,3,3],[5]]
[[1,3],[4],[5]]     => [[1,3,4],[5]]
[[1,4],[3],[5]]     => [[1,3,5],[4]]
[[1,5],[3],[4]]     => [[1,3],[4],[5]]
[[1,5],[3],[5]]     => [[1,3,5],[5]]
[[1,4],[4],[5]]     => [[1,4,4],[5]]
[[1,5],[4],[5]]     => [[1,4,5],[5]]
[[2,2],[3],[5]]     => [[2,2,3],[5]]
[[2,2],[4],[5]]     => [[2,2,4],[5]]
[[2,3],[3],[5]]     => [[2,3,3],[5]]
[[2,3],[4],[5]]     => [[2,3,4],[5]]
[[2,4],[3],[5]]     => [[2,3,5],[4]]
[[2,5],[3],[4]]     => [[2,3],[4],[5]]
[[2,5],[3],[5]]     => [[2,3,5],[5]]
[[2,4],[4],[5]]     => [[2,4,4],[5]]
[[2,5],[4],[5]]     => [[2,4,5],[5]]
[[3,3],[4],[5]]     => [[3,3,4],[5]]
[[3,4],[4],[5]]     => [[3,4,4],[5]]
[[3,5],[4],[5]]     => [[3,4,5],[5]]
[[1],[2],[3],[5]]   => [[1,2],[3],[5]]
[[1],[2],[4],[5]]   => [[1,2],[4],[5]]
[[1],[3],[4],[5]]   => [[1,3],[4],[5]]
[[2],[3],[4],[5]]   => [[2,3],[4],[5]]
[[1,1,1,6]]         => [[1,1,1,6]]
[[1,1,2,6]]         => [[1,1,2,6]]
[[1,1,3,6]]         => [[1,1,3,6]]
[[1,1,4,6]]         => [[1,1,4,6]]
[[1,1,5,6]]         => [[1,1,5,6]]
[[1,1,6,6]]         => [[1,1,6,6]]
[[1,2,2,6]]         => [[1,2,2,6]]
[[1,2,3,6]]         => [[1,2,3,6]]
[[1,2,4,6]]         => [[1,2,4,6]]
[[1,2,5,6]]         => [[1,2,5,6]]
[[1,2,6,6]]         => [[1,2,6,6]]
[[1,3,3,6]]         => [[1,3,3,6]]
[[1,3,4,6]]         => [[1,3,4,6]]
[[1,3,5,6]]         => [[1,3,5,6]]
[[1,3,6,6]]         => [[1,3,6,6]]
[[1,4,4,6]]         => [[1,4,4,6]]
[[1,4,5,6]]         => [[1,4,5,6]]
[[1,4,6,6]]         => [[1,4,6,6]]
[[1,5,5,6]]         => [[1,5,5,6]]
[[1,5,6,6]]         => [[1,5,6,6]]
[[1,6,6,6]]         => [[1,6,6,6]]
[[2,2,2,6]]         => [[2,2,2,6]]
[[2,2,3,6]]         => [[2,2,3,6]]
[[2,2,4,6]]         => [[2,2,4,6]]
[[2,2,5,6]]         => [[2,2,5,6]]
[[2,2,6,6]]         => [[2,2,6,6]]
[[2,3,3,6]]         => [[2,3,3,6]]
[[2,3,4,6]]         => [[2,3,4,6]]
[[2,3,5,6]]         => [[2,3,5,6]]
[[2,3,6,6]]         => [[2,3,6,6]]
[[2,4,4,6]]         => [[2,4,4,6]]
[[2,4,5,6]]         => [[2,4,5,6]]
[[2,4,6,6]]         => [[2,4,6,6]]
[[2,5,5,6]]         => [[2,5,5,6]]
[[2,5,6,6]]         => [[2,5,6,6]]
[[2,6,6,6]]         => [[2,6,6,6]]
[[3,3,3,6]]         => [[3,3,3,6]]
[[3,3,4,6]]         => [[3,3,4,6]]
[[3,3,5,6]]         => [[3,3,5,6]]
[[3,3,6,6]]         => [[3,3,6,6]]
[[3,4,4,6]]         => [[3,4,4,6]]
[[3,4,5,6]]         => [[3,4,5,6]]
[[3,4,6,6]]         => [[3,4,6,6]]
[[3,5,5,6]]         => [[3,5,5,6]]
[[3,5,6,6]]         => [[3,5,6,6]]
[[3,6,6,6]]         => [[3,6,6,6]]
[[4,4,4,6]]         => [[4,4,4,6]]
[[4,4,5,6]]         => [[4,4,5,6]]
[[4,4,6,6]]         => [[4,4,6,6]]
[[4,5,5,6]]         => [[4,5,5,6]]
[[4,5,6,6]]         => [[4,5,6,6]]
[[4,6,6,6]]         => [[4,6,6,6]]
[[5,5,5,6]]         => [[5,5,5,6]]
[[5,5,6,6]]         => [[5,5,6,6]]
[[5,6,6,6]]         => [[5,6,6,6]]
[[6,6,6,6]]         => [[6,6,6,6]]
[[1,1,1],[6]]       => [[1,1,1,6]]
[[1,1,2],[6]]       => [[1,1,2,6]]
[[1,1,6],[2]]       => [[1,1,2],[6]]
[[1,1,3],[6]]       => [[1,1,3,6]]
[[1,1,6],[3]]       => [[1,1,3],[6]]
[[1,1,4],[6]]       => [[1,1,4,6]]
[[1,1,6],[4]]       => [[1,1,4],[6]]
[[1,1,5],[6]]       => [[1,1,5,6]]
[[1,1,6],[5]]       => [[1,1,5],[6]]
[[1,1,6],[6]]       => [[1,1,6,6]]
[[1,2,2],[6]]       => [[1,2,2,6]]
[[1,2,6],[2]]       => [[1,2,2],[6]]
[[1,2,3],[6]]       => [[1,2,3,6]]
[[1,2,6],[3]]       => [[1,2,3],[6]]
[[1,3,6],[2]]       => [[1,2,6],[3]]
[[1,2,4],[6]]       => [[1,2,4,6]]
[[1,2,6],[4]]       => [[1,2,4],[6]]
[[1,4,6],[2]]       => [[1,2,6],[4]]
[[1,2,5],[6]]       => [[1,2,5,6]]
[[1,2,6],[5]]       => [[1,2,5],[6]]
[[1,5,6],[2]]       => [[1,2,6],[5]]
[[1,2,6],[6]]       => [[1,2,6,6]]
[[1,6,6],[2]]       => [[1,2,6],[6]]
[[1,3,3],[6]]       => [[1,3,3,6]]
[[1,3,6],[3]]       => [[1,3,3],[6]]
[[1,3,4],[6]]       => [[1,3,4,6]]
[[1,3,6],[4]]       => [[1,3,4],[6]]
[[1,4,6],[3]]       => [[1,3,6],[4]]
[[1,3,5],[6]]       => [[1,3,5,6]]
[[1,3,6],[5]]       => [[1,3,5],[6]]
[[1,5,6],[3]]       => [[1,3,6],[5]]
[[1,3,6],[6]]       => [[1,3,6,6]]
[[1,6,6],[3]]       => [[1,3,6],[6]]
[[1,4,4],[6]]       => [[1,4,4,6]]
[[1,4,6],[4]]       => [[1,4,4],[6]]
[[1,4,5],[6]]       => [[1,4,5,6]]
[[1,4,6],[5]]       => [[1,4,5],[6]]
[[1,5,6],[4]]       => [[1,4,6],[5]]
[[1,4,6],[6]]       => [[1,4,6,6]]
[[1,6,6],[4]]       => [[1,4,6],[6]]
[[1,5,5],[6]]       => [[1,5,5,6]]
[[1,5,6],[5]]       => [[1,5,5],[6]]
[[1,5,6],[6]]       => [[1,5,6,6]]
[[1,6,6],[5]]       => [[1,5,6],[6]]
[[1,6,6],[6]]       => [[1,6,6,6]]
[[2,2,2],[6]]       => [[2,2,2,6]]
[[2,2,3],[6]]       => [[2,2,3,6]]
[[2,2,6],[3]]       => [[2,2,3],[6]]
[[2,2,4],[6]]       => [[2,2,4,6]]
[[2,2,6],[4]]       => [[2,2,4],[6]]
[[2,2,5],[6]]       => [[2,2,5,6]]
[[2,2,6],[5]]       => [[2,2,5],[6]]
[[2,2,6],[6]]       => [[2,2,6,6]]
[[2,3,3],[6]]       => [[2,3,3,6]]
[[2,3,6],[3]]       => [[2,3,3],[6]]
[[2,3,4],[6]]       => [[2,3,4,6]]
[[2,3,6],[4]]       => [[2,3,4],[6]]
[[2,4,6],[3]]       => [[2,3,6],[4]]
[[2,3,5],[6]]       => [[2,3,5,6]]
[[2,3,6],[5]]       => [[2,3,5],[6]]
[[2,5,6],[3]]       => [[2,3,6],[5]]
[[2,3,6],[6]]       => [[2,3,6,6]]
[[2,6,6],[3]]       => [[2,3,6],[6]]
[[2,4,4],[6]]       => [[2,4,4,6]]
[[2,4,6],[4]]       => [[2,4,4],[6]]
[[2,4,5],[6]]       => [[2,4,5,6]]
[[2,4,6],[5]]       => [[2,4,5],[6]]
[[2,5,6],[4]]       => [[2,4,6],[5]]
[[2,4,6],[6]]       => [[2,4,6,6]]
[[2,6,6],[4]]       => [[2,4,6],[6]]
[[2,5,5],[6]]       => [[2,5,5,6]]
[[2,5,6],[5]]       => [[2,5,5],[6]]
[[2,5,6],[6]]       => [[2,5,6,6]]
[[2,6,6],[5]]       => [[2,5,6],[6]]
[[2,6,6],[6]]       => [[2,6,6,6]]
[[3,3,3],[6]]       => [[3,3,3,6]]
[[3,3,4],[6]]       => [[3,3,4,6]]
[[3,3,6],[4]]       => [[3,3,4],[6]]
[[3,3,5],[6]]       => [[3,3,5,6]]
[[3,3,6],[5]]       => [[3,3,5],[6]]
[[3,3,6],[6]]       => [[3,3,6,6]]
[[3,4,4],[6]]       => [[3,4,4,6]]
[[3,4,6],[4]]       => [[3,4,4],[6]]
[[3,4,5],[6]]       => [[3,4,5,6]]
[[3,4,6],[5]]       => [[3,4,5],[6]]
[[3,5,6],[4]]       => [[3,4,6],[5]]
[[3,4,6],[6]]       => [[3,4,6,6]]
[[3,6,6],[4]]       => [[3,4,6],[6]]
[[3,5,5],[6]]       => [[3,5,5,6]]
[[3,5,6],[5]]       => [[3,5,5],[6]]
[[3,5,6],[6]]       => [[3,5,6,6]]
[[3,6,6],[5]]       => [[3,5,6],[6]]
[[3,6,6],[6]]       => [[3,6,6,6]]
[[4,4,4],[6]]       => [[4,4,4,6]]
[[4,4,5],[6]]       => [[4,4,5,6]]
[[4,4,6],[5]]       => [[4,4,5],[6]]
[[4,4,6],[6]]       => [[4,4,6,6]]
[[4,5,5],[6]]       => [[4,5,5,6]]
[[4,5,6],[5]]       => [[4,5,5],[6]]
[[4,5,6],[6]]       => [[4,5,6,6]]
[[4,6,6],[5]]       => [[4,5,6],[6]]
[[4,6,6],[6]]       => [[4,6,6,6]]
[[5,5,5],[6]]       => [[5,5,5,6]]
[[5,5,6],[6]]       => [[5,5,6,6]]
[[5,6,6],[6]]       => [[5,6,6,6]]
[[1,1],[2,6]]       => [[1,1,2,6]]
[[1,1],[3,6]]       => [[1,1,3,6]]
[[1,1],[4,6]]       => [[1,1,4,6]]
[[1,1],[5,6]]       => [[1,1,5,6]]
[[1,1],[6,6]]       => [[1,1,6,6]]
[[1,2],[2,6]]       => [[1,2,2,6]]
[[1,2],[3,6]]       => [[1,2,3,6]]
[[1,3],[2,6]]       => [[1,2,6],[3]]
[[1,2],[4,6]]       => [[1,2,4,6]]
[[1,4],[2,6]]       => [[1,2,6],[4]]
[[1,2],[5,6]]       => [[1,2,5,6]]
[[1,5],[2,6]]       => [[1,2,6],[5]]
[[1,2],[6,6]]       => [[1,2,6,6]]
[[1,3],[3,6]]       => [[1,3,3,6]]
[[1,3],[4,6]]       => [[1,3,4,6]]
[[1,4],[3,6]]       => [[1,3,6],[4]]
[[1,3],[5,6]]       => [[1,3,5,6]]
[[1,5],[3,6]]       => [[1,3,6],[5]]
[[1,3],[6,6]]       => [[1,3,6,6]]
[[1,4],[4,6]]       => [[1,4,4,6]]
[[1,4],[5,6]]       => [[1,4,5,6]]
[[1,5],[4,6]]       => [[1,4,6],[5]]
[[1,4],[6,6]]       => [[1,4,6,6]]
[[1,5],[5,6]]       => [[1,5,5,6]]
[[1,5],[6,6]]       => [[1,5,6,6]]
[[2,2],[3,6]]       => [[2,2,3,6]]
[[2,2],[4,6]]       => [[2,2,4,6]]
[[2,2],[5,6]]       => [[2,2,5,6]]
[[2,2],[6,6]]       => [[2,2,6,6]]
[[2,3],[3,6]]       => [[2,3,3,6]]
[[2,3],[4,6]]       => [[2,3,4,6]]
[[2,4],[3,6]]       => [[2,3,6],[4]]
[[2,3],[5,6]]       => [[2,3,5,6]]
[[2,5],[3,6]]       => [[2,3,6],[5]]
[[2,3],[6,6]]       => [[2,3,6,6]]
[[2,4],[4,6]]       => [[2,4,4,6]]
[[2,4],[5,6]]       => [[2,4,5,6]]
[[2,5],[4,6]]       => [[2,4,6],[5]]
[[2,4],[6,6]]       => [[2,4,6,6]]
[[2,5],[5,6]]       => [[2,5,5,6]]
[[2,5],[6,6]]       => [[2,5,6,6]]
[[3,3],[4,6]]       => [[3,3,4,6]]
[[3,3],[5,6]]       => [[3,3,5,6]]
[[3,3],[6,6]]       => [[3,3,6,6]]
[[3,4],[4,6]]       => [[3,4,4,6]]
[[3,4],[5,6]]       => [[3,4,5,6]]
[[3,5],[4,6]]       => [[3,4,6],[5]]
[[3,4],[6,6]]       => [[3,4,6,6]]
[[3,5],[5,6]]       => [[3,5,5,6]]
[[3,5],[6,6]]       => [[3,5,6,6]]
[[4,4],[5,6]]       => [[4,4,5,6]]
[[4,4],[6,6]]       => [[4,4,6,6]]
[[4,5],[5,6]]       => [[4,5,5,6]]
[[4,5],[6,6]]       => [[4,5,6,6]]
[[5,5],[6,6]]       => [[5,5,6,6]]
[[1,1],[2],[6]]     => [[1,1,2],[6]]
[[1,1],[3],[6]]     => [[1,1,3],[6]]
[[1,1],[4],[6]]     => [[1,1,4],[6]]
[[1,1],[5],[6]]     => [[1,1,5],[6]]
[[1,2],[2],[6]]     => [[1,2,2],[6]]
[[1,2],[3],[6]]     => [[1,2,3],[6]]
[[1,3],[2],[6]]     => [[1,2,6],[3]]
[[1,6],[2],[3]]     => [[1,2],[3],[6]]
[[1,2],[4],[6]]     => [[1,2,4],[6]]
[[1,4],[2],[6]]     => [[1,2,6],[4]]
[[1,6],[2],[4]]     => [[1,2],[4],[6]]
[[1,2],[5],[6]]     => [[1,2,5],[6]]
[[1,5],[2],[6]]     => [[1,2,6],[5]]
[[1,6],[2],[5]]     => [[1,2],[5],[6]]
[[1,6],[2],[6]]     => [[1,2,6],[6]]
[[1,3],[3],[6]]     => [[1,3,3],[6]]
[[1,3],[4],[6]]     => [[1,3,4],[6]]
[[1,4],[3],[6]]     => [[1,3,6],[4]]
[[1,6],[3],[4]]     => [[1,3],[4],[6]]
[[1,3],[5],[6]]     => [[1,3,5],[6]]
[[1,5],[3],[6]]     => [[1,3,6],[5]]
[[1,1,1,1,2]]       => [[1,1,1,1,2]]
[[1,1,1,2,2]]       => [[1,1,1,2,2]]
[[1,1,2,2,2]]       => [[1,1,2,2,2]]
[[1,2,2,2,2]]       => [[1,2,2,2,2]]
[[2,2,2,2,2]]       => [[2,2,2,2,2]]
[[1,1,1,1],[2]]     => [[1,1,1,1,2]]
[[1,1,1,2],[2]]     => [[1,1,1,2,2]]
[[1,1,2,2],[2]]     => [[1,1,2,2,2]]
[[1,2,2,2],[2]]     => [[1,2,2,2,2]]
[[1,1,1],[2,2]]     => [[1,1,1,2,2]]
[[1,1,2],[2,2]]     => [[1,1,2,2,2]]
[[1,1,1,1,3]]       => [[1,1,1,1,3]]
[[1,1,1,2,3]]       => [[1,1,1,2,3]]
[[1,1,1,3,3]]       => [[1,1,1,3,3]]
[[1,1,2,2,3]]       => [[1,1,2,2,3]]
[[1,1,2,3,3]]       => [[1,1,2,3,3]]
[[1,1,3,3,3]]       => [[1,1,3,3,3]]
[[1,2,2,2,3]]       => [[1,2,2,2,3]]
[[1,2,2,3,3]]       => [[1,2,2,3,3]]
[[1,2,3,3,3]]       => [[1,2,3,3,3]]
[[1,3,3,3,3]]       => [[1,3,3,3,3]]
[[2,2,2,2,3]]       => [[2,2,2,2,3]]
[[2,2,2,3,3]]       => [[2,2,2,3,3]]
[[2,2,3,3,3]]       => [[2,2,3,3,3]]
[[2,3,3,3,3]]       => [[2,3,3,3,3]]
[[3,3,3,3,3]]       => [[3,3,3,3,3]]
[[1,1,1,1],[3]]     => [[1,1,1,1,3]]
[[1,1,1,2],[3]]     => [[1,1,1,2,3]]
[[1,1,1,3],[2]]     => [[1,1,1,2],[3]]
[[1,1,1,3],[3]]     => [[1,1,1,3,3]]
[[1,1,2,2],[3]]     => [[1,1,2,2,3]]
[[1,1,2,3],[2]]     => [[1,1,2,2],[3]]
[[1,1,2,3],[3]]     => [[1,1,2,3,3]]
[[1,1,3,3],[2]]     => [[1,1,2,3],[3]]
[[1,1,3,3],[3]]     => [[1,1,3,3,3]]
[[1,2,2,2],[3]]     => [[1,2,2,2,3]]
[[1,2,2,3],[2]]     => [[1,2,2,2],[3]]
[[1,2,2,3],[3]]     => [[1,2,2,3,3]]
[[1,2,3,3],[2]]     => [[1,2,2,3],[3]]
[[1,2,3,3],[3]]     => [[1,2,3,3,3]]
[[1,3,3,3],[2]]     => [[1,2,3,3],[3]]
[[1,3,3,3],[3]]     => [[1,3,3,3,3]]
[[2,2,2,2],[3]]     => [[2,2,2,2,3]]
[[2,2,2,3],[3]]     => [[2,2,2,3,3]]
[[2,2,3,3],[3]]     => [[2,2,3,3,3]]
[[2,3,3,3],[3]]     => [[2,3,3,3,3]]
[[1,1,1],[2,3]]     => [[1,1,1,2,3]]
[[1,1,1],[3,3]]     => [[1,1,1,3,3]]
[[1,1,2],[2,3]]     => [[1,1,2,2,3]]
[[1,1,3],[2,2]]     => [[1,1,2,2],[3]]
[[1,1,2],[3,3]]     => [[1,1,2,3,3]]
[[1,1,3],[2,3]]     => [[1,1,2,3],[3]]
[[1,1,3],[3,3]]     => [[1,1,3,3,3]]
[[1,2,2],[2,3]]     => [[1,2,2,2,3]]
[[1,2,2],[3,3]]     => [[1,2,2,3,3]]
[[1,2,3],[2,3]]     => [[1,2,2,3],[3]]
[[1,2,3],[3,3]]     => [[1,2,3,3,3]]
[[2,2,2],[3,3]]     => [[2,2,2,3,3]]
[[2,2,3],[3,3]]     => [[2,2,3,3,3]]
[[1,1,1],[2],[3]]   => [[1,1,1,2],[3]]
[[1,1,2],[2],[3]]   => [[1,1,2,2],[3]]
[[1,1,3],[2],[3]]   => [[1,1,2,3],[3]]
[[1,2,2],[2],[3]]   => [[1,2,2,2],[3]]
[[1,2,3],[2],[3]]   => [[1,2,2,3],[3]]
[[1,3,3],[2],[3]]   => [[1,2,3,3],[3]]
[[1,1],[2,2],[3]]   => [[1,1,2,2],[3]]
[[1,1],[2,3],[3]]   => [[1,1,2,3],[3]]
[[1,2],[2,3],[3]]   => [[1,2,2,3],[3]]
[[1,1,1,1,4]]       => [[1,1,1,1,4]]
[[1,1,1,2,4]]       => [[1,1,1,2,4]]
[[1,1,1,3,4]]       => [[1,1,1,3,4]]
[[1,1,1,4,4]]       => [[1,1,1,4,4]]
[[1,1,2,2,4]]       => [[1,1,2,2,4]]
[[1,1,2,3,4]]       => [[1,1,2,3,4]]
[[1,1,2,4,4]]       => [[1,1,2,4,4]]
[[1,1,3,3,4]]       => [[1,1,3,3,4]]
[[1,1,3,4,4]]       => [[1,1,3,4,4]]
[[1,1,4,4,4]]       => [[1,1,4,4,4]]
[[1,2,2,2,4]]       => [[1,2,2,2,4]]
[[1,2,2,3,4]]       => [[1,2,2,3,4]]
[[1,2,2,4,4]]       => [[1,2,2,4,4]]
[[1,2,3,3,4]]       => [[1,2,3,3,4]]
[[1,2,3,4,4]]       => [[1,2,3,4,4]]
[[1,2,4,4,4]]       => [[1,2,4,4,4]]
[[1,3,3,3,4]]       => [[1,3,3,3,4]]
[[1,3,3,4,4]]       => [[1,3,3,4,4]]
[[1,3,4,4,4]]       => [[1,3,4,4,4]]
[[1,4,4,4,4]]       => [[1,4,4,4,4]]
[[2,2,2,2,4]]       => [[2,2,2,2,4]]
[[2,2,2,3,4]]       => [[2,2,2,3,4]]
[[2,2,2,4,4]]       => [[2,2,2,4,4]]
[[2,2,3,3,4]]       => [[2,2,3,3,4]]
[[2,2,3,4,4]]       => [[2,2,3,4,4]]
[[2,2,4,4,4]]       => [[2,2,4,4,4]]
[[2,3,3,3,4]]       => [[2,3,3,3,4]]
[[2,3,3,4,4]]       => [[2,3,3,4,4]]
[[2,3,4,4,4]]       => [[2,3,4,4,4]]
[[2,4,4,4,4]]       => [[2,4,4,4,4]]
[[3,3,3,3,4]]       => [[3,3,3,3,4]]
[[3,3,3,4,4]]       => [[3,3,3,4,4]]
[[3,3,4,4,4]]       => [[3,3,4,4,4]]
[[3,4,4,4,4]]       => [[3,4,4,4,4]]
[[4,4,4,4,4]]       => [[4,4,4,4,4]]
[[1,1,1,1],[4]]     => [[1,1,1,1,4]]
[[1,1,1,2],[4]]     => [[1,1,1,2,4]]
[[1,1,1,4],[2]]     => [[1,1,1,2],[4]]
[[1,1,1,3],[4]]     => [[1,1,1,3,4]]
[[1,1,1,4],[3]]     => [[1,1,1,3],[4]]
[[1,1,1,4],[4]]     => [[1,1,1,4,4]]
[[1,1,2,2],[4]]     => [[1,1,2,2,4]]
[[1,1,2,4],[2]]     => [[1,1,2,2],[4]]
[[1,1,2,3],[4]]     => [[1,1,2,3,4]]
[[1,1,2,4],[3]]     => [[1,1,2,3],[4]]
[[1,1,3,4],[2]]     => [[1,1,2,4],[3]]
[[1,1,2,4],[4]]     => [[1,1,2,4,4]]
[[1,1,4,4],[2]]     => [[1,1,2,4],[4]]
[[1,1,3,3],[4]]     => [[1,1,3,3,4]]
[[1,1,3,4],[3]]     => [[1,1,3,3],[4]]
[[1,1,3,4],[4]]     => [[1,1,3,4,4]]
[[1,1,4,4],[3]]     => [[1,1,3,4],[4]]
[[1,1,4,4],[4]]     => [[1,1,4,4,4]]
[[1,2,2,2],[4]]     => [[1,2,2,2,4]]
[[1,2,2,4],[2]]     => [[1,2,2,2],[4]]
[[1,2,2,3],[4]]     => [[1,2,2,3,4]]
[[1,2,2,4],[3]]     => [[1,2,2,3],[4]]
[[1,2,3,4],[2]]     => [[1,2,2,4],[3]]
[[1,2,2,4],[4]]     => [[1,2,2,4,4]]
[[1,2,4,4],[2]]     => [[1,2,2,4],[4]]
[[1,2,3,3],[4]]     => [[1,2,3,3,4]]
[[1,2,3,4],[3]]     => [[1,2,3,3],[4]]
[[1,3,3,4],[2]]     => [[1,2,3,4],[3]]
[[1,2,3,4],[4]]     => [[1,2,3,4,4]]
[[1,2,4,4],[3]]     => [[1,2,3,4],[4]]
[[1,3,4,4],[2]]     => [[1,2,4,4],[3]]
[[1,2,4,4],[4]]     => [[1,2,4,4,4]]
[[1,4,4,4],[2]]     => [[1,2,4,4],[4]]
[[1,3,3,3],[4]]     => [[1,3,3,3,4]]
[[1,3,3,4],[3]]     => [[1,3,3,3],[4]]
[[1,3,3,4],[4]]     => [[1,3,3,4,4]]
[[1,3,4,4],[3]]     => [[1,3,3,4],[4]]
[[1,3,4,4],[4]]     => [[1,3,4,4,4]]
[[1,4,4,4],[3]]     => [[1,3,4,4],[4]]
[[1,4,4,4],[4]]     => [[1,4,4,4,4]]
[[2,2,2,2],[4]]     => [[2,2,2,2,4]]
[[2,2,2,3],[4]]     => [[2,2,2,3,4]]
[[2,2,2,4],[3]]     => [[2,2,2,3],[4]]
[[2,2,2,4],[4]]     => [[2,2,2,4,4]]
[[2,2,3,3],[4]]     => [[2,2,3,3,4]]
[[2,2,3,4],[3]]     => [[2,2,3,3],[4]]
[[2,2,3,4],[4]]     => [[2,2,3,4,4]]
[[2,2,4,4],[3]]     => [[2,2,3,4],[4]]
[[2,2,4,4],[4]]     => [[2,2,4,4,4]]
[[2,3,3,3],[4]]     => [[2,3,3,3,4]]
[[2,3,3,4],[3]]     => [[2,3,3,3],[4]]
[[2,3,3,4],[4]]     => [[2,3,3,4,4]]
[[2,3,4,4],[3]]     => [[2,3,3,4],[4]]
[[2,3,4,4],[4]]     => [[2,3,4,4,4]]
[[2,4,4,4],[3]]     => [[2,3,4,4],[4]]
[[2,4,4,4],[4]]     => [[2,4,4,4,4]]
[[3,3,3,3],[4]]     => [[3,3,3,3,4]]
[[3,3,3,4],[4]]     => [[3,3,3,4,4]]
[[3,3,4,4],[4]]     => [[3,3,4,4,4]]
[[3,4,4,4],[4]]     => [[3,4,4,4,4]]
[[1,1,1],[2,4]]     => [[1,1,1,2,4]]
[[1,1,1],[3,4]]     => [[1,1,1,3,4]]
[[1,1,1],[4,4]]     => [[1,1,1,4,4]]
[[1,1,2],[2,4]]     => [[1,1,2,2,4]]
[[1,1,4],[2,2]]     => [[1,1,2,2],[4]]
[[1,1,2],[3,4]]     => [[1,1,2,3,4]]
[[1,1,3],[2,4]]     => [[1,1,2,4],[3]]
[[1,1,4],[2,3]]     => [[1,1,2,3],[4]]
[[1,1,2],[4,4]]     => [[1,1,2,4,4]]
[[1,1,4],[2,4]]     => [[1,1,2,4],[4]]
[[1,1,3],[3,4]]     => [[1,1,3,3,4]]
[[1,1,4],[3,3]]     => [[1,1,3,3],[4]]
[[1,1,3],[4,4]]     => [[1,1,3,4,4]]
[[1,1,4],[3,4]]     => [[1,1,3,4],[4]]
[[1,1,4],[4,4]]     => [[1,1,4,4,4]]
[[1,2,2],[2,4]]     => [[1,2,2,2,4]]
[[1,2,2],[3,4]]     => [[1,2,2,3,4]]
[[1,2,3],[2,4]]     => [[1,2,2,4],[3]]
[[1,2,4],[2,3]]     => [[1,2,2,3],[4]]
[[1,2,2],[4,4]]     => [[1,2,2,4,4]]
[[1,2,4],[2,4]]     => [[1,2,2,4],[4]]
[[1,2,3],[3,4]]     => [[1,2,3,3,4]]
[[1,2,4],[3,3]]     => [[1,2,3,3],[4]]
[[1,3,3],[2,4]]     => [[1,2,3,4],[3]]
[[1,2,3],[4,4]]     => [[1,2,3,4,4]]
[[1,2,4],[3,4]]     => [[1,2,3,4],[4]]
[[1,3,4],[2,4]]     => [[1,2,4,4],[3]]
[[1,2,4],[4,4]]     => [[1,2,4,4,4]]
[[1,3,3],[3,4]]     => [[1,3,3,3,4]]
[[1,3,3],[4,4]]     => [[1,3,3,4,4]]
[[1,3,4],[3,4]]     => [[1,3,3,4],[4]]
[[1,3,4],[4,4]]     => [[1,3,4,4,4]]
[[2,2,2],[3,4]]     => [[2,2,2,3,4]]
[[2,2,2],[4,4]]     => [[2,2,2,4,4]]
[[2,2,3],[3,4]]     => [[2,2,3,3,4]]
[[2,2,4],[3,3]]     => [[2,2,3,3],[4]]
[[2,2,3],[4,4]]     => [[2,2,3,4,4]]
[[2,2,4],[3,4]]     => [[2,2,3,4],[4]]
[[2,2,4],[4,4]]     => [[2,2,4,4,4]]
[[2,3,3],[3,4]]     => [[2,3,3,3,4]]
[[2,3,3],[4,4]]     => [[2,3,3,4,4]]
[[2,3,4],[3,4]]     => [[2,3,3,4],[4]]
[[2,3,4],[4,4]]     => [[2,3,4,4,4]]
[[3,3,3],[4,4]]     => [[3,3,3,4,4]]
[[3,3,4],[4,4]]     => [[3,3,4,4,4]]
[[1,1,1],[2],[4]]   => [[1,1,1,2],[4]]
[[1,1,1],[3],[4]]   => [[1,1,1,3],[4]]
[[1,1,2],[2],[4]]   => [[1,1,2,2],[4]]
[[1,1,2],[3],[4]]   => [[1,1,2,3],[4]]
[[1,1,3],[2],[4]]   => [[1,1,2,4],[3]]
[[1,1,4],[2],[3]]   => [[1,1,2],[3],[4]]
[[1,1,4],[2],[4]]   => [[1,1,2,4],[4]]
[[1,1,3],[3],[4]]   => [[1,1,3,3],[4]]
[[1,1,4],[3],[4]]   => [[1,1,3,4],[4]]
[[1,2,2],[2],[4]]   => [[1,2,2,2],[4]]
[[1,2,2],[3],[4]]   => [[1,2,2,3],[4]]
[[1,2,3],[2],[4]]   => [[1,2,2,4],[3]]
[[1,2,4],[2],[3]]   => [[1,2,2],[3],[4]]
[[1,2,4],[2],[4]]   => [[1,2,2,4],[4]]
[[1,2,3],[3],[4]]   => [[1,2,3,3],[4]]
[[1,3,3],[2],[4]]   => [[1,2,3,4],[3]]
[[1,3,4],[2],[3]]   => [[1,2,3],[3],[4]]
[[1,2,4],[3],[4]]   => [[1,2,3,4],[4]]
[[1,3,4],[2],[4]]   => [[1,2,4,4],[3]]
[[1,4,4],[2],[3]]   => [[1,2,4],[3],[4]]
[[1,4,4],[2],[4]]   => [[1,2,4,4],[4]]
[[1,3,3],[3],[4]]   => [[1,3,3,3],[4]]
[[1,3,4],[3],[4]]   => [[1,3,3,4],[4]]
[[1,4,4],[3],[4]]   => [[1,3,4,4],[4]]
[[2,2,2],[3],[4]]   => [[2,2,2,3],[4]]
[[2,2,3],[3],[4]]   => [[2,2,3,3],[4]]
[[2,2,4],[3],[4]]   => [[2,2,3,4],[4]]
[[2,3,3],[3],[4]]   => [[2,3,3,3],[4]]
[[2,3,4],[3],[4]]   => [[2,3,3,4],[4]]
[[2,4,4],[3],[4]]   => [[2,3,4,4],[4]]
[[1,1],[2,2],[4]]   => [[1,1,2,2],[4]]
[[1,1],[2,3],[4]]   => [[1,1,2,3],[4]]
[[1,1],[2,4],[3]]   => [[1,1,2,4],[3]]
[[1,1],[2,4],[4]]   => [[1,1,2,4],[4]]
[[1,1],[3,3],[4]]   => [[1,1,3,3],[4]]
[[1,1],[3,4],[4]]   => [[1,1,3,4],[4]]
[[1,2],[2,3],[4]]   => [[1,2,2,3],[4]]
[[1,2],[2,4],[3]]   => [[1,2,2,4],[3]]
[[1,2],[2,4],[4]]   => [[1,2,2,4],[4]]
[[1,2],[3,3],[4]]   => [[1,2,3,3],[4]]
[[1,3],[2,4],[3]]   => [[1,2,3,4],[3]]
[[1,2],[3,4],[4]]   => [[1,2,3,4],[4]]
[[1,3],[2,4],[4]]   => [[1,2,4,4],[3]]
[[1,3],[3,4],[4]]   => [[1,3,3,4],[4]]
[[2,2],[3,3],[4]]   => [[2,2,3,3],[4]]
[[2,2],[3,4],[4]]   => [[2,2,3,4],[4]]
[[2,3],[3,4],[4]]   => [[2,3,3,4],[4]]
[[1,1],[2],[3],[4]] => [[1,1,2],[3],[4]]
[[1,2],[2],[3],[4]] => [[1,2,2],[3],[4]]
[[1,3],[2],[3],[4]] => [[1,2,3],[3],[4]]
[[1,4],[2],[3],[4]] => [[1,2,4],[3],[4]]
[[1,1,1,1,1,2]]     => [[1,1,1,1,1,2]]
[[1,1,1,1,2,2]]     => [[1,1,1,1,2,2]]
[[1,1,1,2,2,2]]     => [[1,1,1,2,2,2]]
[[1,1,2,2,2,2]]     => [[1,1,2,2,2,2]]
[[1,2,2,2,2,2]]     => [[1,2,2,2,2,2]]
[[2,2,2,2,2,2]]     => [[2,2,2,2,2,2]]
[[1,1,1,1,1],[2]]   => [[1,1,1,1,1,2]]
[[1,1,1,1,2],[2]]   => [[1,1,1,1,2,2]]
[[1,1,1,2,2],[2]]   => [[1,1,1,2,2,2]]
[[1,1,2,2,2],[2]]   => [[1,1,2,2,2,2]]
[[1,2,2,2,2],[2]]   => [[1,2,2,2,2,2]]
[[1,1,1,1],[2,2]]   => [[1,1,1,1,2,2]]
[[1,1,1,2],[2,2]]   => [[1,1,1,2,2,2]]
[[1,1,2,2],[2,2]]   => [[1,1,2,2,2,2]]
[[1,1,1],[2,2,2]]   => [[1,1,1,2,2,2]]
[[1,1,1,1,1,3]]     => [[1,1,1,1,1,3]]
[[1,1,1,1,2,3]]     => [[1,1,1,1,2,3]]
[[1,1,1,1,3,3]]     => [[1,1,1,1,3,3]]
[[1,1,1,2,2,3]]     => [[1,1,1,2,2,3]]
[[1,1,1,2,3,3]]     => [[1,1,1,2,3,3]]
[[1,1,1,3,3,3]]     => [[1,1,1,3,3,3]]
[[1,1,2,2,2,3]]     => [[1,1,2,2,2,3]]
[[1,1,2,2,3,3]]     => [[1,1,2,2,3,3]]
[[1,1,2,3,3,3]]     => [[1,1,2,3,3,3]]
[[1,1,3,3,3,3]]     => [[1,1,3,3,3,3]]
[[1,2,2,2,2,3]]     => [[1,2,2,2,2,3]]
[[1,2,2,2,3,3]]     => [[1,2,2,2,3,3]]
[[1,2,2,3,3,3]]     => [[1,2,2,3,3,3]]
[[1,2,3,3,3,3]]     => [[1,2,3,3,3,3]]
[[1,3,3,3,3,3]]     => [[1,3,3,3,3,3]]
[[2,2,2,2,2,3]]     => [[2,2,2,2,2,3]]
[[2,2,2,2,3,3]]     => [[2,2,2,2,3,3]]
[[2,2,2,3,3,3]]     => [[2,2,2,3,3,3]]
[[2,2,3,3,3,3]]     => [[2,2,3,3,3,3]]
[[2,3,3,3,3,3]]     => [[2,3,3,3,3,3]]
[[3,3,3,3,3,3]]     => [[3,3,3,3,3,3]]
[[1,1,1,1,1],[3]]   => [[1,1,1,1,1,3]]
[[1,1,1,1,2],[3]]   => [[1,1,1,1,2,3]]
[[1,1,1,1,3],[2]]   => [[1,1,1,1,2],[3]]
[[1,1,1,1,3],[3]]   => [[1,1,1,1,3,3]]
[[1,1,1,2,2],[3]]   => [[1,1,1,2,2,3]]
[[1,1,1,2,3],[2]]   => [[1,1,1,2,2],[3]]
[[1,1,1,2,3],[3]]   => [[1,1,1,2,3,3]]
[[1,1,1,3,3],[2]]   => [[1,1,1,2,3],[3]]
[[1,1,1,3,3],[3]]   => [[1,1,1,3,3,3]]
[[1,1,2,2,2],[3]]   => [[1,1,2,2,2,3]]
[[1,1,2,2,3],[2]]   => [[1,1,2,2,2],[3]]
[[1,1,2,2,3],[3]]   => [[1,1,2,2,3,3]]
[[1,1,2,3,3],[2]]   => [[1,1,2,2,3],[3]]
[[1,1,2,3,3],[3]]   => [[1,1,2,3,3,3]]
[[1,1,3,3,3],[2]]   => [[1,1,2,3,3],[3]]
[[1,1,3,3,3],[3]]   => [[1,1,3,3,3,3]]
[[1,2,2,2,2],[3]]   => [[1,2,2,2,2,3]]
[[1,2,2,2,3],[2]]   => [[1,2,2,2,2],[3]]
[[1,2,2,2,3],[3]]   => [[1,2,2,2,3,3]]
[[1,2,2,3,3],[2]]   => [[1,2,2,2,3],[3]]
[[1,2,2,3,3],[3]]   => [[1,2,2,3,3,3]]
[[1,2,3,3,3],[2]]   => [[1,2,2,3,3],[3]]
[[1,2,3,3,3],[3]]   => [[1,2,3,3,3,3]]
[[1,3,3,3,3],[2]]   => [[1,2,3,3,3],[3]]
[[1,3,3,3,3],[3]]   => [[1,3,3,3,3,3]]
[[2,2,2,2,2],[3]]   => [[2,2,2,2,2,3]]
[[2,2,2,2,3],[3]]   => [[2,2,2,2,3,3]]
[[2,2,2,3,3],[3]]   => [[2,2,2,3,3,3]]
[[2,2,3,3,3],[3]]   => [[2,2,3,3,3,3]]
[[2,3,3,3,3],[3]]   => [[2,3,3,3,3,3]]
[[1,1,1,1],[2,3]]   => [[1,1,1,1,2,3]]
[[1,1,1,1],[3,3]]   => [[1,1,1,1,3,3]]
[[1,1,1,2],[2,3]]   => [[1,1,1,2,2,3]]
[[1,1,1,3],[2,2]]   => [[1,1,1,2,2],[3]]
[[1,1,1,2],[3,3]]   => [[1,1,1,2,3,3]]
[[1,1,1,3],[2,3]]   => [[1,1,1,2,3],[3]]
[[1,1,1,3],[3,3]]   => [[1,1,1,3,3,3]]
[[1,1,2,2],[2,3]]   => [[1,1,2,2,2,3]]
[[1,1,2,3],[2,2]]   => [[1,1,2,2,2],[3]]
[[1,1,2,2],[3,3]]   => [[1,1,2,2,3,3]]
[[1,1,2,3],[2,3]]   => [[1,1,2,2,3],[3]]
[[1,1,3,3],[2,2]]   => [[1,1,2,2],[3,3]]
[[1,1,2,3],[3,3]]   => [[1,1,2,3,3,3]]
[[1,1,3,3],[2,3]]   => [[1,1,2,3,3],[3]]
[[1,1,3,3],[3,3]]   => [[1,1,3,3,3,3]]
[[1,2,2,2],[2,3]]   => [[1,2,2,2,2,3]]
[[1,2,2,2],[3,3]]   => [[1,2,2,2,3,3]]
[[1,2,2,3],[2,3]]   => [[1,2,2,2,3],[3]]
[[1,2,2,3],[3,3]]   => [[1,2,2,3,3,3]]
[[1,2,3,3],[2,3]]   => [[1,2,2,3,3],[3]]
[[1,2,3,3],[3,3]]   => [[1,2,3,3,3,3]]
[[2,2,2,2],[3,3]]   => [[2,2,2,2,3,3]]
[[2,2,2,3],[3,3]]   => [[2,2,2,3,3,3]]
[[2,2,3,3],[3,3]]   => [[2,2,3,3,3,3]]
[[1,1,1,1],[2],[3]] => [[1,1,1,1,2],[3]]
[[1,1,1,2],[2],[3]] => [[1,1,1,2,2],[3]]
[[1,1,1,3],[2],[3]] => [[1,1,1,2,3],[3]]
[[1,1,2,2],[2],[3]] => [[1,1,2,2,2],[3]]
[[1,1,2,3],[2],[3]] => [[1,1,2,2,3],[3]]
[[1,1,3,3],[2],[3]] => [[1,1,2,3,3],[3]]
[[1,2,2,2],[2],[3]] => [[1,2,2,2,2],[3]]
[[1,2,2,3],[2],[3]] => [[1,2,2,2,3],[3]]
[[1,2,3,3],[2],[3]] => [[1,2,2,3,3],[3]]
[[1,3,3,3],[2],[3]] => [[1,2,3,3,3],[3]]
[[1,1,1],[2,2,3]]   => [[1,1,1,2,2,3]]
[[1,1,1],[2,3,3]]   => [[1,1,1,2,3,3]]
[[1,1,1],[3,3,3]]   => [[1,1,1,3,3,3]]
[[1,1,2],[2,2,3]]   => [[1,1,2,2,2,3]]
[[1,1,2],[2,3,3]]   => [[1,1,2,2,3,3]]
[[1,1,2],[3,3,3]]   => [[1,1,2,3,3,3]]
[[1,2,2],[2,3,3]]   => [[1,2,2,2,3,3]]
[[1,2,2],[3,3,3]]   => [[1,2,2,3,3,3]]
[[2,2,2],[3,3,3]]   => [[2,2,2,3,3,3]]
[[1,1,1],[2,2],[3]] => [[1,1,1,2,2],[3]]
[[1,1,1],[2,3],[3]] => [[1,1,1,2,3],[3]]
[[1,1,2],[2,2],[3]] => [[1,1,2,2,2],[3]]
[[1,1,2],[2,3],[3]] => [[1,1,2,2,3],[3]]
[[1,1,3],[2,2],[3]] => [[1,1,2,2],[3,3]]
[[1,1,3],[2,3],[3]] => [[1,1,2,3,3],[3]]
[[1,2,2],[2,3],[3]] => [[1,2,2,2,3],[3]]
[[1,2,3],[2,3],[3]] => [[1,2,2,3,3],[3]]
[[1,1],[2,2],[3,3]] => [[1,1,2,2],[3,3]]
[[1,1,1,1,1,1,2]]   => [[1,1,1,1,1,1,2]]
[[1,1,1,1,1,2,2]]   => [[1,1,1,1,1,2,2]]
[[1,1,1,1,2,2,2]]   => [[1,1,1,1,2,2,2]]
[[1,1,1,2,2,2,2]]   => [[1,1,1,2,2,2,2]]
[[1,1,2,2,2,2,2]]   => [[1,1,2,2,2,2,2]]
[[1,2,2,2,2,2,2]]   => [[1,2,2,2,2,2,2]]
[[2,2,2,2,2,2,2]]   => [[2,2,2,2,2,2,2]]
[[1,1,1,1,1,1],[2]] => [[1,1,1,1,1,1,2]]
[[1,1,1,1,1,2],[2]] => [[1,1,1,1,1,2,2]]
[[1,1,1,1,2,2],[2]] => [[1,1,1,1,2,2,2]]
[[1,1,1,2,2,2],[2]] => [[1,1,1,2,2,2,2]]
[[1,1,2,2,2,2],[2]] => [[1,1,2,2,2,2,2]]
[[1,2,2,2,2,2],[2]] => [[1,2,2,2,2,2,2]]
[[1,1,1,1,1],[2,2]] => [[1,1,1,1,1,2,2]]
[[1,1,1,1,2],[2,2]] => [[1,1,1,1,2,2,2]]
[[1,1,1,2,2],[2,2]] => [[1,1,1,2,2,2,2]]
[[1,1,2,2,2],[2,2]] => [[1,1,2,2,2,2,2]]
[[1,1,1,1],[2,2,2]] => [[1,1,1,1,2,2,2]]
[[1,1,1,2],[2,2,2]] => [[1,1,1,2,2,2,2]]

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Created: Jan 29, 2020 at 13:26 by FindStatCrew

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Last Updated: Jan 29, 2020 at 13:26 by Martin Rubey