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------------------------------------------------------------------------
Map identifier: Mp00284

------------------------------------------------------------------------
Map name: rows

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Domain: Standard tableaux

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Codomain: Set partitions

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Description: The set partition whose blocks are the rows of the tableau.

------------------------------------------------------------------------
References: 

------------------------------------------------------------------------
Code:

def mapping(T):
    return SetPartition(T)

------------------------------------------------------------------------
Map images:

[[1]]                             => {{1}}
[[1,2]]                           => {{1,2}}
[[1],[2]]                         => {{1},{2}}
[[1,2,3]]                         => {{1,2,3}}
[[1,3],[2]]                       => {{1,3},{2}}
[[1,2],[3]]                       => {{1,2},{3}}
[[1],[2],[3]]                     => {{1},{2},{3}}
[[1,2,3,4]]                       => {{1,2,3,4}}
[[1,3,4],[2]]                     => {{1,3,4},{2}}
[[1,2,4],[3]]                     => {{1,2,4},{3}}
[[1,2,3],[4]]                     => {{1,2,3},{4}}
[[1,3],[2,4]]                     => {{1,3},{2,4}}
[[1,2],[3,4]]                     => {{1,2},{3,4}}
[[1,4],[2],[3]]                   => {{1,4},{2},{3}}
[[1,3],[2],[4]]                   => {{1,3},{2},{4}}
[[1,2],[3],[4]]                   => {{1,2},{3},{4}}
[[1],[2],[3],[4]]                 => {{1},{2},{3},{4}}
[[1,2,3,4,5]]                     => {{1,2,3,4,5}}
[[1,3,4,5],[2]]                   => {{1,3,4,5},{2}}
[[1,2,4,5],[3]]                   => {{1,2,4,5},{3}}
[[1,2,3,5],[4]]                   => {{1,2,3,5},{4}}
[[1,2,3,4],[5]]                   => {{1,2,3,4},{5}}
[[1,3,5],[2,4]]                   => {{1,3,5},{2,4}}
[[1,2,5],[3,4]]                   => {{1,2,5},{3,4}}
[[1,3,4],[2,5]]                   => {{1,3,4},{2,5}}
[[1,2,4],[3,5]]                   => {{1,2,4},{3,5}}
[[1,2,3],[4,5]]                   => {{1,2,3},{4,5}}
[[1,4,5],[2],[3]]                 => {{1,4,5},{2},{3}}
[[1,3,5],[2],[4]]                 => {{1,3,5},{2},{4}}
[[1,2,5],[3],[4]]                 => {{1,2,5},{3},{4}}
[[1,3,4],[2],[5]]                 => {{1,3,4},{2},{5}}
[[1,2,4],[3],[5]]                 => {{1,2,4},{3},{5}}
[[1,2,3],[4],[5]]                 => {{1,2,3},{4},{5}}
[[1,4],[2,5],[3]]                 => {{1,4},{2,5},{3}}
[[1,3],[2,5],[4]]                 => {{1,3},{2,5},{4}}
[[1,2],[3,5],[4]]                 => {{1,2},{3,5},{4}}
[[1,3],[2,4],[5]]                 => {{1,3},{2,4},{5}}
[[1,2],[3,4],[5]]                 => {{1,2},{3,4},{5}}
[[1,5],[2],[3],[4]]               => {{1,5},{2},{3},{4}}
[[1,4],[2],[3],[5]]               => {{1,4},{2},{3},{5}}
[[1,3],[2],[4],[5]]               => {{1,3},{2},{4},{5}}
[[1,2],[3],[4],[5]]               => {{1,2},{3},{4},{5}}
[[1],[2],[3],[4],[5]]             => {{1},{2},{3},{4},{5}}
[[1,2,3,4,5,6]]                   => {{1,2,3,4,5,6}}
[[1,3,4,5,6],[2]]                 => {{1,3,4,5,6},{2}}
[[1,2,4,5,6],[3]]                 => {{1,2,4,5,6},{3}}
[[1,2,3,5,6],[4]]                 => {{1,2,3,5,6},{4}}
[[1,2,3,4,6],[5]]                 => {{1,2,3,4,6},{5}}
[[1,2,3,4,5],[6]]                 => {{1,2,3,4,5},{6}}
[[1,3,5,6],[2,4]]                 => {{1,3,5,6},{2,4}}
[[1,2,5,6],[3,4]]                 => {{1,2,5,6},{3,4}}
[[1,3,4,6],[2,5]]                 => {{1,3,4,6},{2,5}}
[[1,2,4,6],[3,5]]                 => {{1,2,4,6},{3,5}}
[[1,2,3,6],[4,5]]                 => {{1,2,3,6},{4,5}}
[[1,3,4,5],[2,6]]                 => {{1,3,4,5},{2,6}}
[[1,2,4,5],[3,6]]                 => {{1,2,4,5},{3,6}}
[[1,2,3,5],[4,6]]                 => {{1,2,3,5},{4,6}}
[[1,2,3,4],[5,6]]                 => {{1,2,3,4},{5,6}}
[[1,4,5,6],[2],[3]]               => {{1,4,5,6},{2},{3}}
[[1,3,5,6],[2],[4]]               => {{1,3,5,6},{2},{4}}
[[1,2,5,6],[3],[4]]               => {{1,2,5,6},{3},{4}}
[[1,3,4,6],[2],[5]]               => {{1,3,4,6},{2},{5}}
[[1,2,4,6],[3],[5]]               => {{1,2,4,6},{3},{5}}
[[1,2,3,6],[4],[5]]               => {{1,2,3,6},{4},{5}}
[[1,3,4,5],[2],[6]]               => {{1,3,4,5},{2},{6}}
[[1,2,4,5],[3],[6]]               => {{1,2,4,5},{3},{6}}
[[1,2,3,5],[4],[6]]               => {{1,2,3,5},{4},{6}}
[[1,2,3,4],[5],[6]]               => {{1,2,3,4},{5},{6}}
[[1,3,5],[2,4,6]]                 => {{1,3,5},{2,4,6}}
[[1,2,5],[3,4,6]]                 => {{1,2,5},{3,4,6}}
[[1,3,4],[2,5,6]]                 => {{1,3,4},{2,5,6}}
[[1,2,4],[3,5,6]]                 => {{1,2,4},{3,5,6}}
[[1,2,3],[4,5,6]]                 => {{1,2,3},{4,5,6}}
[[1,4,6],[2,5],[3]]               => {{1,4,6},{2,5},{3}}
[[1,3,6],[2,5],[4]]               => {{1,3,6},{2,5},{4}}
[[1,2,6],[3,5],[4]]               => {{1,2,6},{3,5},{4}}
[[1,3,6],[2,4],[5]]               => {{1,3,6},{2,4},{5}}
[[1,2,6],[3,4],[5]]               => {{1,2,6},{3,4},{5}}
[[1,4,5],[2,6],[3]]               => {{1,4,5},{2,6},{3}}
[[1,3,5],[2,6],[4]]               => {{1,3,5},{2,6},{4}}
[[1,2,5],[3,6],[4]]               => {{1,2,5},{3,6},{4}}
[[1,3,4],[2,6],[5]]               => {{1,3,4},{2,6},{5}}
[[1,2,4],[3,6],[5]]               => {{1,2,4},{3,6},{5}}
[[1,2,3],[4,6],[5]]               => {{1,2,3},{4,6},{5}}
[[1,3,5],[2,4],[6]]               => {{1,3,5},{2,4},{6}}
[[1,2,5],[3,4],[6]]               => {{1,2,5},{3,4},{6}}
[[1,3,4],[2,5],[6]]               => {{1,3,4},{2,5},{6}}
[[1,2,4],[3,5],[6]]               => {{1,2,4},{3,5},{6}}
[[1,2,3],[4,5],[6]]               => {{1,2,3},{4,5},{6}}
[[1,5,6],[2],[3],[4]]             => {{1,5,6},{2},{3},{4}}
[[1,4,6],[2],[3],[5]]             => {{1,4,6},{2},{3},{5}}
[[1,3,6],[2],[4],[5]]             => {{1,3,6},{2},{4},{5}}
[[1,2,6],[3],[4],[5]]             => {{1,2,6},{3},{4},{5}}
[[1,4,5],[2],[3],[6]]             => {{1,4,5},{2},{3},{6}}
[[1,3,5],[2],[4],[6]]             => {{1,3,5},{2},{4},{6}}
[[1,2,5],[3],[4],[6]]             => {{1,2,5},{3},{4},{6}}
[[1,3,4],[2],[5],[6]]             => {{1,3,4},{2},{5},{6}}
[[1,2,4],[3],[5],[6]]             => {{1,2,4},{3},{5},{6}}
[[1,2,3],[4],[5],[6]]             => {{1,2,3},{4},{5},{6}}
[[1,4],[2,5],[3,6]]               => {{1,4},{2,5},{3,6}}
[[1,3],[2,5],[4,6]]               => {{1,3},{2,5},{4,6}}
[[1,2],[3,5],[4,6]]               => {{1,2},{3,5},{4,6}}
[[1,3],[2,4],[5,6]]               => {{1,3},{2,4},{5,6}}
[[1,2],[3,4],[5,6]]               => {{1,2},{3,4},{5,6}}
[[1,5],[2,6],[3],[4]]             => {{1,5},{2,6},{3},{4}}
[[1,4],[2,6],[3],[5]]             => {{1,4},{2,6},{3},{5}}
[[1,3],[2,6],[4],[5]]             => {{1,3},{2,6},{4},{5}}
[[1,2],[3,6],[4],[5]]             => {{1,2},{3,6},{4},{5}}
[[1,4],[2,5],[3],[6]]             => {{1,4},{2,5},{3},{6}}
[[1,3],[2,5],[4],[6]]             => {{1,3},{2,5},{4},{6}}
[[1,2],[3,5],[4],[6]]             => {{1,2},{3,5},{4},{6}}
[[1,3],[2,4],[5],[6]]             => {{1,3},{2,4},{5},{6}}
[[1,2],[3,4],[5],[6]]             => {{1,2},{3,4},{5},{6}}
[[1,6],[2],[3],[4],[5]]           => {{1,6},{2},{3},{4},{5}}
[[1,5],[2],[3],[4],[6]]           => {{1,5},{2},{3},{4},{6}}
[[1,4],[2],[3],[5],[6]]           => {{1,4},{2},{3},{5},{6}}
[[1,3],[2],[4],[5],[6]]           => {{1,3},{2},{4},{5},{6}}
[[1,2],[3],[4],[5],[6]]           => {{1,2},{3},{4},{5},{6}}
[[1],[2],[3],[4],[5],[6]]         => {{1},{2},{3},{4},{5},{6}}
[[1,2,3,4,5,6,7]]                 => {{1,2,3,4,5,6,7}}
[[1,3,4,5,6,7],[2]]               => {{1,3,4,5,6,7},{2}}
[[1,2,4,5,6,7],[3]]               => {{1,2,4,5,6,7},{3}}
[[1,2,3,5,6,7],[4]]               => {{1,2,3,5,6,7},{4}}
[[1,2,3,4,6,7],[5]]               => {{1,2,3,4,6,7},{5}}
[[1,2,3,4,5,7],[6]]               => {{1,2,3,4,5,7},{6}}
[[1,2,3,4,5,6],[7]]               => {{1,2,3,4,5,6},{7}}
[[1,3,5,6,7],[2,4]]               => {{1,3,5,6,7},{2,4}}
[[1,2,5,6,7],[3,4]]               => {{1,2,5,6,7},{3,4}}
[[1,3,4,6,7],[2,5]]               => {{1,3,4,6,7},{2,5}}
[[1,2,4,6,7],[3,5]]               => {{1,2,4,6,7},{3,5}}
[[1,2,3,6,7],[4,5]]               => {{1,2,3,6,7},{4,5}}
[[1,3,4,5,7],[2,6]]               => {{1,3,4,5,7},{2,6}}
[[1,2,4,5,7],[3,6]]               => {{1,2,4,5,7},{3,6}}
[[1,2,3,5,7],[4,6]]               => {{1,2,3,5,7},{4,6}}
[[1,2,3,4,7],[5,6]]               => {{1,2,3,4,7},{5,6}}
[[1,3,4,5,6],[2,7]]               => {{1,3,4,5,6},{2,7}}
[[1,2,4,5,6],[3,7]]               => {{1,2,4,5,6},{3,7}}
[[1,2,3,5,6],[4,7]]               => {{1,2,3,5,6},{4,7}}
[[1,2,3,4,6],[5,7]]               => {{1,2,3,4,6},{5,7}}
[[1,2,3,4,5],[6,7]]               => {{1,2,3,4,5},{6,7}}
[[1,4,5,6,7],[2],[3]]             => {{1,4,5,6,7},{2},{3}}
[[1,3,5,6,7],[2],[4]]             => {{1,3,5,6,7},{2},{4}}
[[1,2,5,6,7],[3],[4]]             => {{1,2,5,6,7},{3},{4}}
[[1,3,4,6,7],[2],[5]]             => {{1,3,4,6,7},{2},{5}}
[[1,2,4,6,7],[3],[5]]             => {{1,2,4,6,7},{3},{5}}
[[1,2,3,6,7],[4],[5]]             => {{1,2,3,6,7},{4},{5}}
[[1,3,4,5,7],[2],[6]]             => {{1,3,4,5,7},{2},{6}}
[[1,2,4,5,7],[3],[6]]             => {{1,2,4,5,7},{3},{6}}
[[1,2,3,5,7],[4],[6]]             => {{1,2,3,5,7},{4},{6}}
[[1,2,3,4,7],[5],[6]]             => {{1,2,3,4,7},{5},{6}}
[[1,3,4,5,6],[2],[7]]             => {{1,3,4,5,6},{2},{7}}
[[1,2,4,5,6],[3],[7]]             => {{1,2,4,5,6},{3},{7}}
[[1,2,3,5,6],[4],[7]]             => {{1,2,3,5,6},{4},{7}}
[[1,2,3,4,6],[5],[7]]             => {{1,2,3,4,6},{5},{7}}
[[1,2,3,4,5],[6],[7]]             => {{1,2,3,4,5},{6},{7}}
[[1,3,5,7],[2,4,6]]               => {{1,3,5,7},{2,4,6}}
[[1,2,5,7],[3,4,6]]               => {{1,2,5,7},{3,4,6}}
[[1,3,4,7],[2,5,6]]               => {{1,3,4,7},{2,5,6}}
[[1,2,4,7],[3,5,6]]               => {{1,2,4,7},{3,5,6}}
[[1,2,3,7],[4,5,6]]               => {{1,2,3,7},{4,5,6}}
[[1,3,5,6],[2,4,7]]               => {{1,3,5,6},{2,4,7}}
[[1,2,5,6],[3,4,7]]               => {{1,2,5,6},{3,4,7}}
[[1,3,4,6],[2,5,7]]               => {{1,3,4,6},{2,5,7}}
[[1,2,4,6],[3,5,7]]               => {{1,2,4,6},{3,5,7}}
[[1,2,3,6],[4,5,7]]               => {{1,2,3,6},{4,5,7}}
[[1,3,4,5],[2,6,7]]               => {{1,3,4,5},{2,6,7}}
[[1,2,4,5],[3,6,7]]               => {{1,2,4,5},{3,6,7}}
[[1,2,3,5],[4,6,7]]               => {{1,2,3,5},{4,6,7}}
[[1,2,3,4],[5,6,7]]               => {{1,2,3,4},{5,6,7}}
[[1,4,6,7],[2,5],[3]]             => {{1,4,6,7},{2,5},{3}}
[[1,3,6,7],[2,5],[4]]             => {{1,3,6,7},{2,5},{4}}
[[1,2,6,7],[3,5],[4]]             => {{1,2,6,7},{3,5},{4}}
[[1,3,6,7],[2,4],[5]]             => {{1,3,6,7},{2,4},{5}}
[[1,2,6,7],[3,4],[5]]             => {{1,2,6,7},{3,4},{5}}
[[1,4,5,7],[2,6],[3]]             => {{1,4,5,7},{2,6},{3}}
[[1,3,5,7],[2,6],[4]]             => {{1,3,5,7},{2,6},{4}}
[[1,2,5,7],[3,6],[4]]             => {{1,2,5,7},{3,6},{4}}
[[1,3,4,7],[2,6],[5]]             => {{1,3,4,7},{2,6},{5}}
[[1,2,4,7],[3,6],[5]]             => {{1,2,4,7},{3,6},{5}}
[[1,2,3,7],[4,6],[5]]             => {{1,2,3,7},{4,6},{5}}
[[1,3,5,7],[2,4],[6]]             => {{1,3,5,7},{2,4},{6}}
[[1,2,5,7],[3,4],[6]]             => {{1,2,5,7},{3,4},{6}}
[[1,3,4,7],[2,5],[6]]             => {{1,3,4,7},{2,5},{6}}
[[1,2,4,7],[3,5],[6]]             => {{1,2,4,7},{3,5},{6}}
[[1,2,3,7],[4,5],[6]]             => {{1,2,3,7},{4,5},{6}}
[[1,4,5,6],[2,7],[3]]             => {{1,4,5,6},{2,7},{3}}
[[1,3,5,6],[2,7],[4]]             => {{1,3,5,6},{2,7},{4}}
[[1,2,5,6],[3,7],[4]]             => {{1,2,5,6},{3,7},{4}}
[[1,3,4,6],[2,7],[5]]             => {{1,3,4,6},{2,7},{5}}
[[1,2,4,6],[3,7],[5]]             => {{1,2,4,6},{3,7},{5}}
[[1,2,3,6],[4,7],[5]]             => {{1,2,3,6},{4,7},{5}}
[[1,3,4,5],[2,7],[6]]             => {{1,3,4,5},{2,7},{6}}
[[1,2,4,5],[3,7],[6]]             => {{1,2,4,5},{3,7},{6}}
[[1,2,3,5],[4,7],[6]]             => {{1,2,3,5},{4,7},{6}}
[[1,2,3,4],[5,7],[6]]             => {{1,2,3,4},{5,7},{6}}
[[1,3,5,6],[2,4],[7]]             => {{1,3,5,6},{2,4},{7}}
[[1,2,5,6],[3,4],[7]]             => {{1,2,5,6},{3,4},{7}}
[[1,3,4,6],[2,5],[7]]             => {{1,3,4,6},{2,5},{7}}
[[1,2,4,6],[3,5],[7]]             => {{1,2,4,6},{3,5},{7}}
[[1,2,3,6],[4,5],[7]]             => {{1,2,3,6},{4,5},{7}}
[[1,3,4,5],[2,6],[7]]             => {{1,3,4,5},{2,6},{7}}
[[1,2,4,5],[3,6],[7]]             => {{1,2,4,5},{3,6},{7}}
[[1,2,3,5],[4,6],[7]]             => {{1,2,3,5},{4,6},{7}}
[[1,2,3,4],[5,6],[7]]             => {{1,2,3,4},{5,6},{7}}
[[1,5,6,7],[2],[3],[4]]           => {{1,5,6,7},{2},{3},{4}}
[[1,4,6,7],[2],[3],[5]]           => {{1,4,6,7},{2},{3},{5}}
[[1,3,6,7],[2],[4],[5]]           => {{1,3,6,7},{2},{4},{5}}
[[1,2,6,7],[3],[4],[5]]           => {{1,2,6,7},{3},{4},{5}}
[[1,4,5,7],[2],[3],[6]]           => {{1,4,5,7},{2},{3},{6}}
[[1,3,5,7],[2],[4],[6]]           => {{1,3,5,7},{2},{4},{6}}
[[1,2,5,7],[3],[4],[6]]           => {{1,2,5,7},{3},{4},{6}}
[[1,3,4,7],[2],[5],[6]]           => {{1,3,4,7},{2},{5},{6}}
[[1,2,4,7],[3],[5],[6]]           => {{1,2,4,7},{3},{5},{6}}
[[1,2,3,7],[4],[5],[6]]           => {{1,2,3,7},{4},{5},{6}}
[[1,4,5,6],[2],[3],[7]]           => {{1,4,5,6},{2},{3},{7}}
[[1,3,5,6],[2],[4],[7]]           => {{1,3,5,6},{2},{4},{7}}
[[1,2,5,6],[3],[4],[7]]           => {{1,2,5,6},{3},{4},{7}}
[[1,3,4,6],[2],[5],[7]]           => {{1,3,4,6},{2},{5},{7}}
[[1,2,4,6],[3],[5],[7]]           => {{1,2,4,6},{3},{5},{7}}
[[1,2,3,6],[4],[5],[7]]           => {{1,2,3,6},{4},{5},{7}}
[[1,3,4,5],[2],[6],[7]]           => {{1,3,4,5},{2},{6},{7}}
[[1,2,4,5],[3],[6],[7]]           => {{1,2,4,5},{3},{6},{7}}
[[1,2,3,5],[4],[6],[7]]           => {{1,2,3,5},{4},{6},{7}}
[[1,2,3,4],[5],[6],[7]]           => {{1,2,3,4},{5},{6},{7}}
[[1,4,6],[2,5,7],[3]]             => {{1,4,6},{2,5,7},{3}}
[[1,3,6],[2,5,7],[4]]             => {{1,3,6},{2,5,7},{4}}
[[1,2,6],[3,5,7],[4]]             => {{1,2,6},{3,5,7},{4}}
[[1,3,6],[2,4,7],[5]]             => {{1,3,6},{2,4,7},{5}}
[[1,2,6],[3,4,7],[5]]             => {{1,2,6},{3,4,7},{5}}
[[1,4,5],[2,6,7],[3]]             => {{1,4,5},{2,6,7},{3}}
[[1,3,5],[2,6,7],[4]]             => {{1,3,5},{2,6,7},{4}}
[[1,2,5],[3,6,7],[4]]             => {{1,2,5},{3,6,7},{4}}
[[1,3,4],[2,6,7],[5]]             => {{1,3,4},{2,6,7},{5}}
[[1,2,4],[3,6,7],[5]]             => {{1,2,4},{3,6,7},{5}}
[[1,2,3],[4,6,7],[5]]             => {{1,2,3},{4,6,7},{5}}
[[1,3,5],[2,4,7],[6]]             => {{1,3,5},{2,4,7},{6}}
[[1,2,5],[3,4,7],[6]]             => {{1,2,5},{3,4,7},{6}}
[[1,3,4],[2,5,7],[6]]             => {{1,3,4},{2,5,7},{6}}
[[1,2,4],[3,5,7],[6]]             => {{1,2,4},{3,5,7},{6}}
[[1,2,3],[4,5,7],[6]]             => {{1,2,3},{4,5,7},{6}}
[[1,3,5],[2,4,6],[7]]             => {{1,3,5},{2,4,6},{7}}
[[1,2,5],[3,4,6],[7]]             => {{1,2,5},{3,4,6},{7}}
[[1,3,4],[2,5,6],[7]]             => {{1,3,4},{2,5,6},{7}}
[[1,2,4],[3,5,6],[7]]             => {{1,2,4},{3,5,6},{7}}
[[1,2,3],[4,5,6],[7]]             => {{1,2,3},{4,5,6},{7}}
[[1,4,7],[2,5],[3,6]]             => {{1,4,7},{2,5},{3,6}}
[[1,3,7],[2,5],[4,6]]             => {{1,3,7},{2,5},{4,6}}
[[1,2,7],[3,5],[4,6]]             => {{1,2,7},{3,5},{4,6}}
[[1,3,7],[2,4],[5,6]]             => {{1,3,7},{2,4},{5,6}}
[[1,2,7],[3,4],[5,6]]             => {{1,2,7},{3,4},{5,6}}
[[1,4,6],[2,5],[3,7]]             => {{1,4,6},{2,5},{3,7}}
[[1,3,6],[2,5],[4,7]]             => {{1,3,6},{2,5},{4,7}}
[[1,2,6],[3,5],[4,7]]             => {{1,2,6},{3,5},{4,7}}
[[1,3,6],[2,4],[5,7]]             => {{1,3,6},{2,4},{5,7}}
[[1,2,6],[3,4],[5,7]]             => {{1,2,6},{3,4},{5,7}}
[[1,4,5],[2,6],[3,7]]             => {{1,4,5},{2,6},{3,7}}
[[1,3,5],[2,6],[4,7]]             => {{1,3,5},{2,6},{4,7}}
[[1,2,5],[3,6],[4,7]]             => {{1,2,5},{3,6},{4,7}}
[[1,3,4],[2,6],[5,7]]             => {{1,3,4},{2,6},{5,7}}
[[1,2,4],[3,6],[5,7]]             => {{1,2,4},{3,6},{5,7}}
[[1,2,3],[4,6],[5,7]]             => {{1,2,3},{4,6},{5,7}}
[[1,3,5],[2,4],[6,7]]             => {{1,3,5},{2,4},{6,7}}
[[1,2,5],[3,4],[6,7]]             => {{1,2,5},{3,4},{6,7}}
[[1,3,4],[2,5],[6,7]]             => {{1,3,4},{2,5},{6,7}}
[[1,2,4],[3,5],[6,7]]             => {{1,2,4},{3,5},{6,7}}
[[1,2,3],[4,5],[6,7]]             => {{1,2,3},{4,5},{6,7}}
[[1,5,7],[2,6],[3],[4]]           => {{1,5,7},{2,6},{3},{4}}
[[1,4,7],[2,6],[3],[5]]           => {{1,4,7},{2,6},{3},{5}}
[[1,3,7],[2,6],[4],[5]]           => {{1,3,7},{2,6},{4},{5}}
[[1,2,7],[3,6],[4],[5]]           => {{1,2,7},{3,6},{4},{5}}
[[1,4,7],[2,5],[3],[6]]           => {{1,4,7},{2,5},{3},{6}}
[[1,3,7],[2,5],[4],[6]]           => {{1,3,7},{2,5},{4},{6}}
[[1,2,7],[3,5],[4],[6]]           => {{1,2,7},{3,5},{4},{6}}
[[1,3,7],[2,4],[5],[6]]           => {{1,3,7},{2,4},{5},{6}}
[[1,2,7],[3,4],[5],[6]]           => {{1,2,7},{3,4},{5},{6}}
[[1,5,6],[2,7],[3],[4]]           => {{1,5,6},{2,7},{3},{4}}
[[1,4,6],[2,7],[3],[5]]           => {{1,4,6},{2,7},{3},{5}}
[[1,3,6],[2,7],[4],[5]]           => {{1,3,6},{2,7},{4},{5}}
[[1,2,6],[3,7],[4],[5]]           => {{1,2,6},{3,7},{4},{5}}
[[1,4,5],[2,7],[3],[6]]           => {{1,4,5},{2,7},{3},{6}}
[[1,3,5],[2,7],[4],[6]]           => {{1,3,5},{2,7},{4},{6}}
[[1,2,5],[3,7],[4],[6]]           => {{1,2,5},{3,7},{4},{6}}
[[1,3,4],[2,7],[5],[6]]           => {{1,3,4},{2,7},{5},{6}}
[[1,2,4],[3,7],[5],[6]]           => {{1,2,4},{3,7},{5},{6}}
[[1,2,3],[4,7],[5],[6]]           => {{1,2,3},{4,7},{5},{6}}
[[1,4,6],[2,5],[3],[7]]           => {{1,4,6},{2,5},{3},{7}}
[[1,3,6],[2,5],[4],[7]]           => {{1,3,6},{2,5},{4},{7}}
[[1,2,6],[3,5],[4],[7]]           => {{1,2,6},{3,5},{4},{7}}
[[1,3,6],[2,4],[5],[7]]           => {{1,3,6},{2,4},{5},{7}}
[[1,2,6],[3,4],[5],[7]]           => {{1,2,6},{3,4},{5},{7}}
[[1,4,5],[2,6],[3],[7]]           => {{1,4,5},{2,6},{3},{7}}
[[1,3,5],[2,6],[4],[7]]           => {{1,3,5},{2,6},{4},{7}}
[[1,2,5],[3,6],[4],[7]]           => {{1,2,5},{3,6},{4},{7}}
[[1,3,4],[2,6],[5],[7]]           => {{1,3,4},{2,6},{5},{7}}
[[1,2,4],[3,6],[5],[7]]           => {{1,2,4},{3,6},{5},{7}}
[[1,2,3],[4,6],[5],[7]]           => {{1,2,3},{4,6},{5},{7}}
[[1,3,5],[2,4],[6],[7]]           => {{1,3,5},{2,4},{6},{7}}
[[1,2,5],[3,4],[6],[7]]           => {{1,2,5},{3,4},{6},{7}}
[[1,3,4],[2,5],[6],[7]]           => {{1,3,4},{2,5},{6},{7}}
[[1,2,4],[3,5],[6],[7]]           => {{1,2,4},{3,5},{6},{7}}
[[1,2,3],[4,5],[6],[7]]           => {{1,2,3},{4,5},{6},{7}}
[[1,6,7],[2],[3],[4],[5]]         => {{1,6,7},{2},{3},{4},{5}}
[[1,5,7],[2],[3],[4],[6]]         => {{1,5,7},{2},{3},{4},{6}}
[[1,4,7],[2],[3],[5],[6]]         => {{1,4,7},{2},{3},{5},{6}}
[[1,3,7],[2],[4],[5],[6]]         => {{1,3,7},{2},{4},{5},{6}}
[[1,2,7],[3],[4],[5],[6]]         => {{1,2,7},{3},{4},{5},{6}}
[[1,5,6],[2],[3],[4],[7]]         => {{1,5,6},{2},{3},{4},{7}}
[[1,4,6],[2],[3],[5],[7]]         => {{1,4,6},{2},{3},{5},{7}}
[[1,3,6],[2],[4],[5],[7]]         => {{1,3,6},{2},{4},{5},{7}}
[[1,2,6],[3],[4],[5],[7]]         => {{1,2,6},{3},{4},{5},{7}}
[[1,4,5],[2],[3],[6],[7]]         => {{1,4,5},{2},{3},{6},{7}}
[[1,3,5],[2],[4],[6],[7]]         => {{1,3,5},{2},{4},{6},{7}}
[[1,2,5],[3],[4],[6],[7]]         => {{1,2,5},{3},{4},{6},{7}}
[[1,3,4],[2],[5],[6],[7]]         => {{1,3,4},{2},{5},{6},{7}}
[[1,2,4],[3],[5],[6],[7]]         => {{1,2,4},{3},{5},{6},{7}}
[[1,2,3],[4],[5],[6],[7]]         => {{1,2,3},{4},{5},{6},{7}}
[[1,5],[2,6],[3,7],[4]]           => {{1,5},{2,6},{3,7},{4}}
[[1,4],[2,6],[3,7],[5]]           => {{1,4},{2,6},{3,7},{5}}
[[1,3],[2,6],[4,7],[5]]           => {{1,3},{2,6},{4,7},{5}}
[[1,2],[3,6],[4,7],[5]]           => {{1,2},{3,6},{4,7},{5}}
[[1,4],[2,5],[3,7],[6]]           => {{1,4},{2,5},{3,7},{6}}
[[1,3],[2,5],[4,7],[6]]           => {{1,3},{2,5},{4,7},{6}}
[[1,2],[3,5],[4,7],[6]]           => {{1,2},{3,5},{4,7},{6}}
[[1,3],[2,4],[5,7],[6]]           => {{1,3},{2,4},{5,7},{6}}
[[1,2],[3,4],[5,7],[6]]           => {{1,2},{3,4},{5,7},{6}}
[[1,4],[2,5],[3,6],[7]]           => {{1,4},{2,5},{3,6},{7}}
[[1,3],[2,5],[4,6],[7]]           => {{1,3},{2,5},{4,6},{7}}
[[1,2],[3,5],[4,6],[7]]           => {{1,2},{3,5},{4,6},{7}}
[[1,3],[2,4],[5,6],[7]]           => {{1,3},{2,4},{5,6},{7}}
[[1,2],[3,4],[5,6],[7]]           => {{1,2},{3,4},{5,6},{7}}
[[1,6],[2,7],[3],[4],[5]]         => {{1,6},{2,7},{3},{4},{5}}
[[1,5],[2,7],[3],[4],[6]]         => {{1,5},{2,7},{3},{4},{6}}
[[1,4],[2,7],[3],[5],[6]]         => {{1,4},{2,7},{3},{5},{6}}
[[1,3],[2,7],[4],[5],[6]]         => {{1,3},{2,7},{4},{5},{6}}
[[1,2],[3,7],[4],[5],[6]]         => {{1,2},{3,7},{4},{5},{6}}
[[1,5],[2,6],[3],[4],[7]]         => {{1,5},{2,6},{3},{4},{7}}
[[1,4],[2,6],[3],[5],[7]]         => {{1,4},{2,6},{3},{5},{7}}
[[1,3],[2,6],[4],[5],[7]]         => {{1,3},{2,6},{4},{5},{7}}
[[1,2],[3,6],[4],[5],[7]]         => {{1,2},{3,6},{4},{5},{7}}
[[1,4],[2,5],[3],[6],[7]]         => {{1,4},{2,5},{3},{6},{7}}
[[1,3],[2,5],[4],[6],[7]]         => {{1,3},{2,5},{4},{6},{7}}
[[1,2],[3,5],[4],[6],[7]]         => {{1,2},{3,5},{4},{6},{7}}
[[1,3],[2,4],[5],[6],[7]]         => {{1,3},{2,4},{5},{6},{7}}
[[1,2],[3,4],[5],[6],[7]]         => {{1,2},{3,4},{5},{6},{7}}
[[1,7],[2],[3],[4],[5],[6]]       => {{1,7},{2},{3},{4},{5},{6}}
[[1,6],[2],[3],[4],[5],[7]]       => {{1,6},{2},{3},{4},{5},{7}}
[[1,5],[2],[3],[4],[6],[7]]       => {{1,5},{2},{3},{4},{6},{7}}
[[1,4],[2],[3],[5],[6],[7]]       => {{1,4},{2},{3},{5},{6},{7}}
[[1,3],[2],[4],[5],[6],[7]]       => {{1,3},{2},{4},{5},{6},{7}}
[[1,2],[3],[4],[5],[6],[7]]       => {{1,2},{3},{4},{5},{6},{7}}
[[1],[2],[3],[4],[5],[6],[7]]     => {{1},{2},{3},{4},{5},{6},{7}}
[[1,2,3,4,5,6,7,8]]               => {{1,2,3,4,5,6,7,8}}
[[1,3,4,5,6,7,8],[2]]             => {{1,3,4,5,6,7,8},{2}}
[[1,2,4,5,6,7,8],[3]]             => {{1,2,4,5,6,7,8},{3}}
[[1,2,3,5,6,7,8],[4]]             => {{1,2,3,5,6,7,8},{4}}
[[1,2,3,4,6,7,8],[5]]             => {{1,2,3,4,6,7,8},{5}}
[[1,2,3,4,5,7,8],[6]]             => {{1,2,3,4,5,7,8},{6}}
[[1,2,3,4,5,6,8],[7]]             => {{1,2,3,4,5,6,8},{7}}
[[1,2,3,4,5,6,7],[8]]             => {{1,2,3,4,5,6,7},{8}}
[[1,3,5,6,7,8],[2,4]]             => {{1,3,5,6,7,8},{2,4}}
[[1,2,5,6,7,8],[3,4]]             => {{1,2,5,6,7,8},{3,4}}
[[1,3,4,6,7,8],[2,5]]             => {{1,3,4,6,7,8},{2,5}}
[[1,2,4,6,7,8],[3,5]]             => {{1,2,4,6,7,8},{3,5}}
[[1,2,3,6,7,8],[4,5]]             => {{1,2,3,6,7,8},{4,5}}
[[1,3,4,5,7,8],[2,6]]             => {{1,3,4,5,7,8},{2,6}}
[[1,2,4,5,7,8],[3,6]]             => {{1,2,4,5,7,8},{3,6}}
[[1,2,3,5,7,8],[4,6]]             => {{1,2,3,5,7,8},{4,6}}
[[1,2,3,4,7,8],[5,6]]             => {{1,2,3,4,7,8},{5,6}}
[[1,3,4,5,6,8],[2,7]]             => {{1,3,4,5,6,8},{2,7}}
[[1,2,4,5,6,8],[3,7]]             => {{1,2,4,5,6,8},{3,7}}
[[1,2,3,5,6,8],[4,7]]             => {{1,2,3,5,6,8},{4,7}}
[[1,2,3,4,6,8],[5,7]]             => {{1,2,3,4,6,8},{5,7}}
[[1,2,3,4,5,8],[6,7]]             => {{1,2,3,4,5,8},{6,7}}
[[1,3,4,5,6,7],[2,8]]             => {{1,3,4,5,6,7},{2,8}}
[[1,2,4,5,6,7],[3,8]]             => {{1,2,4,5,6,7},{3,8}}
[[1,2,3,5,6,7],[4,8]]             => {{1,2,3,5,6,7},{4,8}}
[[1,2,3,4,6,7],[5,8]]             => {{1,2,3,4,6,7},{5,8}}
[[1,2,3,4,5,7],[6,8]]             => {{1,2,3,4,5,7},{6,8}}
[[1,2,3,4,5,6],[7,8]]             => {{1,2,3,4,5,6},{7,8}}
[[1,4,5,6,7,8],[2],[3]]           => {{1,4,5,6,7,8},{2},{3}}
[[1,3,5,6,7,8],[2],[4]]           => {{1,3,5,6,7,8},{2},{4}}
[[1,2,5,6,7,8],[3],[4]]           => {{1,2,5,6,7,8},{3},{4}}
[[1,3,4,6,7,8],[2],[5]]           => {{1,3,4,6,7,8},{2},{5}}
[[1,2,4,6,7,8],[3],[5]]           => {{1,2,4,6,7,8},{3},{5}}
[[1,2,3,6,7,8],[4],[5]]           => {{1,2,3,6,7,8},{4},{5}}
[[1,3,4,5,7,8],[2],[6]]           => {{1,3,4,5,7,8},{2},{6}}
[[1,2,4,5,7,8],[3],[6]]           => {{1,2,4,5,7,8},{3},{6}}
[[1,2,3,5,7,8],[4],[6]]           => {{1,2,3,5,7,8},{4},{6}}
[[1,2,3,4,7,8],[5],[6]]           => {{1,2,3,4,7,8},{5},{6}}
[[1,3,4,5,6,8],[2],[7]]           => {{1,3,4,5,6,8},{2},{7}}
[[1,2,4,5,6,8],[3],[7]]           => {{1,2,4,5,6,8},{3},{7}}
[[1,2,3,5,6,8],[4],[7]]           => {{1,2,3,5,6,8},{4},{7}}
[[1,2,3,4,6,8],[5],[7]]           => {{1,2,3,4,6,8},{5},{7}}
[[1,2,3,4,5,8],[6],[7]]           => {{1,2,3,4,5,8},{6},{7}}
[[1,3,4,5,6,7],[2],[8]]           => {{1,3,4,5,6,7},{2},{8}}
[[1,2,4,5,6,7],[3],[8]]           => {{1,2,4,5,6,7},{3},{8}}
[[1,2,3,5,6,7],[4],[8]]           => {{1,2,3,5,6,7},{4},{8}}
[[1,2,3,4,6,7],[5],[8]]           => {{1,2,3,4,6,7},{5},{8}}
[[1,2,3,4,5,7],[6],[8]]           => {{1,2,3,4,5,7},{6},{8}}
[[1,2,3,4,5,6],[7],[8]]           => {{1,2,3,4,5,6},{7},{8}}
[[1,3,5,7,8],[2,4,6]]             => {{1,3,5,7,8},{2,4,6}}
[[1,2,5,7,8],[3,4,6]]             => {{1,2,5,7,8},{3,4,6}}
[[1,3,4,7,8],[2,5,6]]             => {{1,3,4,7,8},{2,5,6}}
[[1,2,4,7,8],[3,5,6]]             => {{1,2,4,7,8},{3,5,6}}
[[1,2,3,7,8],[4,5,6]]             => {{1,2,3,7,8},{4,5,6}}
[[1,3,5,6,8],[2,4,7]]             => {{1,3,5,6,8},{2,4,7}}
[[1,2,5,6,8],[3,4,7]]             => {{1,2,5,6,8},{3,4,7}}
[[1,3,4,6,8],[2,5,7]]             => {{1,3,4,6,8},{2,5,7}}
[[1,2,4,6,8],[3,5,7]]             => {{1,2,4,6,8},{3,5,7}}
[[1,2,3,6,8],[4,5,7]]             => {{1,2,3,6,8},{4,5,7}}
[[1,3,4,5,8],[2,6,7]]             => {{1,3,4,5,8},{2,6,7}}
[[1,2,4,5,8],[3,6,7]]             => {{1,2,4,5,8},{3,6,7}}
[[1,2,3,5,8],[4,6,7]]             => {{1,2,3,5,8},{4,6,7}}
[[1,2,3,4,8],[5,6,7]]             => {{1,2,3,4,8},{5,6,7}}
[[1,3,5,6,7],[2,4,8]]             => {{1,3,5,6,7},{2,4,8}}
[[1,2,5,6,7],[3,4,8]]             => {{1,2,5,6,7},{3,4,8}}
[[1,3,4,6,7],[2,5,8]]             => {{1,3,4,6,7},{2,5,8}}
[[1,2,4,6,7],[3,5,8]]             => {{1,2,4,6,7},{3,5,8}}
[[1,2,3,6,7],[4,5,8]]             => {{1,2,3,6,7},{4,5,8}}
[[1,3,4,5,7],[2,6,8]]             => {{1,3,4,5,7},{2,6,8}}
[[1,2,4,5,7],[3,6,8]]             => {{1,2,4,5,7},{3,6,8}}
[[1,2,3,5,7],[4,6,8]]             => {{1,2,3,5,7},{4,6,8}}
[[1,2,3,4,7],[5,6,8]]             => {{1,2,3,4,7},{5,6,8}}
[[1,3,4,5,6],[2,7,8]]             => {{1,3,4,5,6},{2,7,8}}
[[1,2,4,5,6],[3,7,8]]             => {{1,2,4,5,6},{3,7,8}}
[[1,2,3,5,6],[4,7,8]]             => {{1,2,3,5,6},{4,7,8}}
[[1,2,3,4,6],[5,7,8]]             => {{1,2,3,4,6},{5,7,8}}
[[1,2,3,4,5],[6,7,8]]             => {{1,2,3,4,5},{6,7,8}}
[[1,4,6,7,8],[2,5],[3]]           => {{1,4,6,7,8},{2,5},{3}}
[[1,3,6,7,8],[2,5],[4]]           => {{1,3,6,7,8},{2,5},{4}}
[[1,2,6,7,8],[3,5],[4]]           => {{1,2,6,7,8},{3,5},{4}}
[[1,3,6,7,8],[2,4],[5]]           => {{1,3,6,7,8},{2,4},{5}}
[[1,2,6,7,8],[3,4],[5]]           => {{1,2,6,7,8},{3,4},{5}}
[[1,4,5,7,8],[2,6],[3]]           => {{1,4,5,7,8},{2,6},{3}}
[[1,3,5,7,8],[2,6],[4]]           => {{1,3,5,7,8},{2,6},{4}}
[[1,2,5,7,8],[3,6],[4]]           => {{1,2,5,7,8},{3,6},{4}}
[[1,3,4,7,8],[2,6],[5]]           => {{1,3,4,7,8},{2,6},{5}}
[[1,2,4,7,8],[3,6],[5]]           => {{1,2,4,7,8},{3,6},{5}}
[[1,2,3,7,8],[4,6],[5]]           => {{1,2,3,7,8},{4,6},{5}}
[[1,3,5,7,8],[2,4],[6]]           => {{1,3,5,7,8},{2,4},{6}}
[[1,2,5,7,8],[3,4],[6]]           => {{1,2,5,7,8},{3,4},{6}}
[[1,3,4,7,8],[2,5],[6]]           => {{1,3,4,7,8},{2,5},{6}}
[[1,2,4,7,8],[3,5],[6]]           => {{1,2,4,7,8},{3,5},{6}}
[[1,2,3,7,8],[4,5],[6]]           => {{1,2,3,7,8},{4,5},{6}}
[[1,4,5,6,8],[2,7],[3]]           => {{1,4,5,6,8},{2,7},{3}}
[[1,3,5,6,8],[2,7],[4]]           => {{1,3,5,6,8},{2,7},{4}}
[[1,2,5,6,8],[3,7],[4]]           => {{1,2,5,6,8},{3,7},{4}}
[[1,3,4,6,8],[2,7],[5]]           => {{1,3,4,6,8},{2,7},{5}}
[[1,2,4,6,8],[3,7],[5]]           => {{1,2,4,6,8},{3,7},{5}}
[[1,2,3,6,8],[4,7],[5]]           => {{1,2,3,6,8},{4,7},{5}}
[[1,3,4,5,8],[2,7],[6]]           => {{1,3,4,5,8},{2,7},{6}}
[[1,2,4,5,8],[3,7],[6]]           => {{1,2,4,5,8},{3,7},{6}}
[[1,2,3,5,8],[4,7],[6]]           => {{1,2,3,5,8},{4,7},{6}}
[[1,2,3,4,8],[5,7],[6]]           => {{1,2,3,4,8},{5,7},{6}}
[[1,3,5,6,8],[2,4],[7]]           => {{1,3,5,6,8},{2,4},{7}}
[[1,2,5,6,8],[3,4],[7]]           => {{1,2,5,6,8},{3,4},{7}}
[[1,3,4,6,8],[2,5],[7]]           => {{1,3,4,6,8},{2,5},{7}}
[[1,2,4,6,8],[3,5],[7]]           => {{1,2,4,6,8},{3,5},{7}}
[[1,2,3,6,8],[4,5],[7]]           => {{1,2,3,6,8},{4,5},{7}}
[[1,3,4,5,8],[2,6],[7]]           => {{1,3,4,5,8},{2,6},{7}}
[[1,2,4,5,8],[3,6],[7]]           => {{1,2,4,5,8},{3,6},{7}}
[[1,2,3,5,8],[4,6],[7]]           => {{1,2,3,5,8},{4,6},{7}}
[[1,2,3,4,8],[5,6],[7]]           => {{1,2,3,4,8},{5,6},{7}}
[[1,4,5,6,7],[2,8],[3]]           => {{1,4,5,6,7},{2,8},{3}}
[[1,3,5,6,7],[2,8],[4]]           => {{1,3,5,6,7},{2,8},{4}}
[[1,2,5,6,7],[3,8],[4]]           => {{1,2,5,6,7},{3,8},{4}}
[[1,3,4,6,7],[2,8],[5]]           => {{1,3,4,6,7},{2,8},{5}}
[[1,2,4,6,7],[3,8],[5]]           => {{1,2,4,6,7},{3,8},{5}}
[[1,2,3,6,7],[4,8],[5]]           => {{1,2,3,6,7},{4,8},{5}}
[[1,3,4,5,7],[2,8],[6]]           => {{1,3,4,5,7},{2,8},{6}}
[[1,2,4,5,7],[3,8],[6]]           => {{1,2,4,5,7},{3,8},{6}}
[[1,2,3,5,7],[4,8],[6]]           => {{1,2,3,5,7},{4,8},{6}}
[[1,2,3,4,7],[5,8],[6]]           => {{1,2,3,4,7},{5,8},{6}}
[[1,3,4,5,6],[2,8],[7]]           => {{1,3,4,5,6},{2,8},{7}}
[[1,2,4,5,6],[3,8],[7]]           => {{1,2,4,5,6},{3,8},{7}}
[[1,2,3,5,6],[4,8],[7]]           => {{1,2,3,5,6},{4,8},{7}}
[[1,2,3,4,6],[5,8],[7]]           => {{1,2,3,4,6},{5,8},{7}}
[[1,2,3,4,5],[6,8],[7]]           => {{1,2,3,4,5},{6,8},{7}}
[[1,3,5,6,7],[2,4],[8]]           => {{1,3,5,6,7},{2,4},{8}}
[[1,2,5,6,7],[3,4],[8]]           => {{1,2,5,6,7},{3,4},{8}}
[[1,3,4,6,7],[2,5],[8]]           => {{1,3,4,6,7},{2,5},{8}}
[[1,2,4,6,7],[3,5],[8]]           => {{1,2,4,6,7},{3,5},{8}}
[[1,2,3,6,7],[4,5],[8]]           => {{1,2,3,6,7},{4,5},{8}}
[[1,3,4,5,7],[2,6],[8]]           => {{1,3,4,5,7},{2,6},{8}}
[[1,2,4,5,7],[3,6],[8]]           => {{1,2,4,5,7},{3,6},{8}}
[[1,2,3,5,7],[4,6],[8]]           => {{1,2,3,5,7},{4,6},{8}}
[[1,2,3,4,7],[5,6],[8]]           => {{1,2,3,4,7},{5,6},{8}}
[[1,3,4,5,6],[2,7],[8]]           => {{1,3,4,5,6},{2,7},{8}}
[[1,2,4,5,6],[3,7],[8]]           => {{1,2,4,5,6},{3,7},{8}}
[[1,2,3,5,6],[4,7],[8]]           => {{1,2,3,5,6},{4,7},{8}}
[[1,2,3,4,6],[5,7],[8]]           => {{1,2,3,4,6},{5,7},{8}}
[[1,2,3,4,5],[6,7],[8]]           => {{1,2,3,4,5},{6,7},{8}}
[[1,5,6,7,8],[2],[3],[4]]         => {{1,5,6,7,8},{2},{3},{4}}
[[1,4,6,7,8],[2],[3],[5]]         => {{1,4,6,7,8},{2},{3},{5}}
[[1,3,6,7,8],[2],[4],[5]]         => {{1,3,6,7,8},{2},{4},{5}}
[[1,2,6,7,8],[3],[4],[5]]         => {{1,2,6,7,8},{3},{4},{5}}
[[1,4,5,7,8],[2],[3],[6]]         => {{1,4,5,7,8},{2},{3},{6}}
[[1,3,5,7,8],[2],[4],[6]]         => {{1,3,5,7,8},{2},{4},{6}}
[[1,2,5,7,8],[3],[4],[6]]         => {{1,2,5,7,8},{3},{4},{6}}
[[1,3,4,7,8],[2],[5],[6]]         => {{1,3,4,7,8},{2},{5},{6}}
[[1,2,4,7,8],[3],[5],[6]]         => {{1,2,4,7,8},{3},{5},{6}}
[[1,2,3,7,8],[4],[5],[6]]         => {{1,2,3,7,8},{4},{5},{6}}
[[1,4,5,6,8],[2],[3],[7]]         => {{1,4,5,6,8},{2},{3},{7}}
[[1,3,5,6,8],[2],[4],[7]]         => {{1,3,5,6,8},{2},{4},{7}}
[[1,2,5,6,8],[3],[4],[7]]         => {{1,2,5,6,8},{3},{4},{7}}
[[1,3,4,6,8],[2],[5],[7]]         => {{1,3,4,6,8},{2},{5},{7}}
[[1,2,4,6,8],[3],[5],[7]]         => {{1,2,4,6,8},{3},{5},{7}}
[[1,2,3,6,8],[4],[5],[7]]         => {{1,2,3,6,8},{4},{5},{7}}
[[1,3,4,5,8],[2],[6],[7]]         => {{1,3,4,5,8},{2},{6},{7}}
[[1,2,4,5,8],[3],[6],[7]]         => {{1,2,4,5,8},{3},{6},{7}}
[[1,2,3,5,8],[4],[6],[7]]         => {{1,2,3,5,8},{4},{6},{7}}
[[1,2,3,4,8],[5],[6],[7]]         => {{1,2,3,4,8},{5},{6},{7}}
[[1,4,5,6,7],[2],[3],[8]]         => {{1,4,5,6,7},{2},{3},{8}}
[[1,3,5,6,7],[2],[4],[8]]         => {{1,3,5,6,7},{2},{4},{8}}
[[1,2,5,6,7],[3],[4],[8]]         => {{1,2,5,6,7},{3},{4},{8}}
[[1,3,4,6,7],[2],[5],[8]]         => {{1,3,4,6,7},{2},{5},{8}}
[[1,2,4,6,7],[3],[5],[8]]         => {{1,2,4,6,7},{3},{5},{8}}
[[1,2,3,6,7],[4],[5],[8]]         => {{1,2,3,6,7},{4},{5},{8}}
[[1,3,4,5,7],[2],[6],[8]]         => {{1,3,4,5,7},{2},{6},{8}}
[[1,2,4,5,7],[3],[6],[8]]         => {{1,2,4,5,7},{3},{6},{8}}
[[1,2,3,5,7],[4],[6],[8]]         => {{1,2,3,5,7},{4},{6},{8}}
[[1,2,3,4,7],[5],[6],[8]]         => {{1,2,3,4,7},{5},{6},{8}}
[[1,3,4,5,6],[2],[7],[8]]         => {{1,3,4,5,6},{2},{7},{8}}
[[1,2,4,5,6],[3],[7],[8]]         => {{1,2,4,5,6},{3},{7},{8}}
[[1,2,3,5,6],[4],[7],[8]]         => {{1,2,3,5,6},{4},{7},{8}}
[[1,2,3,4,6],[5],[7],[8]]         => {{1,2,3,4,6},{5},{7},{8}}
[[1,2,3,4,5],[6],[7],[8]]         => {{1,2,3,4,5},{6},{7},{8}}
[[1,3,5,7],[2,4,6,8]]             => {{1,3,5,7},{2,4,6,8}}
[[1,2,5,7],[3,4,6,8]]             => {{1,2,5,7},{3,4,6,8}}
[[1,3,4,7],[2,5,6,8]]             => {{1,3,4,7},{2,5,6,8}}
[[1,2,4,7],[3,5,6,8]]             => {{1,2,4,7},{3,5,6,8}}
[[1,2,3,7],[4,5,6,8]]             => {{1,2,3,7},{4,5,6,8}}
[[1,3,5,6],[2,4,7,8]]             => {{1,3,5,6},{2,4,7,8}}
[[1,2,5,6],[3,4,7,8]]             => {{1,2,5,6},{3,4,7,8}}
[[1,3,4,6],[2,5,7,8]]             => {{1,3,4,6},{2,5,7,8}}
[[1,2,4,6],[3,5,7,8]]             => {{1,2,4,6},{3,5,7,8}}
[[1,2,3,6],[4,5,7,8]]             => {{1,2,3,6},{4,5,7,8}}
[[1,3,4,5],[2,6,7,8]]             => {{1,3,4,5},{2,6,7,8}}
[[1,2,4,5],[3,6,7,8]]             => {{1,2,4,5},{3,6,7,8}}
[[1,2,3,5],[4,6,7,8]]             => {{1,2,3,5},{4,6,7,8}}
[[1,2,3,4],[5,6,7,8]]             => {{1,2,3,4},{5,6,7,8}}
[[1,4,6,8],[2,5,7],[3]]           => {{1,4,6,8},{2,5,7},{3}}
[[1,3,6,8],[2,5,7],[4]]           => {{1,3,6,8},{2,5,7},{4}}
[[1,2,6,8],[3,5,7],[4]]           => {{1,2,6,8},{3,5,7},{4}}
[[1,3,6,8],[2,4,7],[5]]           => {{1,3,6,8},{2,4,7},{5}}
[[1,2,6,8],[3,4,7],[5]]           => {{1,2,6,8},{3,4,7},{5}}
[[1,4,5,8],[2,6,7],[3]]           => {{1,4,5,8},{2,6,7},{3}}
[[1,3,5,8],[2,6,7],[4]]           => {{1,3,5,8},{2,6,7},{4}}
[[1,2,5,8],[3,6,7],[4]]           => {{1,2,5,8},{3,6,7},{4}}
[[1,3,4,8],[2,6,7],[5]]           => {{1,3,4,8},{2,6,7},{5}}
[[1,2,4,8],[3,6,7],[5]]           => {{1,2,4,8},{3,6,7},{5}}
[[1,2,3,8],[4,6,7],[5]]           => {{1,2,3,8},{4,6,7},{5}}
[[1,3,5,8],[2,4,7],[6]]           => {{1,3,5,8},{2,4,7},{6}}
[[1,2,5,8],[3,4,7],[6]]           => {{1,2,5,8},{3,4,7},{6}}
[[1,3,4,8],[2,5,7],[6]]           => {{1,3,4,8},{2,5,7},{6}}
[[1,2,4,8],[3,5,7],[6]]           => {{1,2,4,8},{3,5,7},{6}}
[[1,2,3,8],[4,5,7],[6]]           => {{1,2,3,8},{4,5,7},{6}}
[[1,3,5,8],[2,4,6],[7]]           => {{1,3,5,8},{2,4,6},{7}}
[[1,2,5,8],[3,4,6],[7]]           => {{1,2,5,8},{3,4,6},{7}}
[[1,3,4,8],[2,5,6],[7]]           => {{1,3,4,8},{2,5,6},{7}}
[[1,2,4,8],[3,5,6],[7]]           => {{1,2,4,8},{3,5,6},{7}}
[[1,2,3,8],[4,5,6],[7]]           => {{1,2,3,8},{4,5,6},{7}}
[[1,4,6,7],[2,5,8],[3]]           => {{1,4,6,7},{2,5,8},{3}}
[[1,3,6,7],[2,5,8],[4]]           => {{1,3,6,7},{2,5,8},{4}}
[[1,2,6,7],[3,5,8],[4]]           => {{1,2,6,7},{3,5,8},{4}}
[[1,3,6,7],[2,4,8],[5]]           => {{1,3,6,7},{2,4,8},{5}}
[[1,2,6,7],[3,4,8],[5]]           => {{1,2,6,7},{3,4,8},{5}}
[[1,4,5,7],[2,6,8],[3]]           => {{1,4,5,7},{2,6,8},{3}}
[[1,3,5,7],[2,6,8],[4]]           => {{1,3,5,7},{2,6,8},{4}}
[[1,2,5,7],[3,6,8],[4]]           => {{1,2,5,7},{3,6,8},{4}}
[[1,3,4,7],[2,6,8],[5]]           => {{1,3,4,7},{2,6,8},{5}}
[[1,2,4,7],[3,6,8],[5]]           => {{1,2,4,7},{3,6,8},{5}}
[[1,2,3,7],[4,6,8],[5]]           => {{1,2,3,7},{4,6,8},{5}}
[[1,3,5,7],[2,4,8],[6]]           => {{1,3,5,7},{2,4,8},{6}}
[[1,2,5,7],[3,4,8],[6]]           => {{1,2,5,7},{3,4,8},{6}}
[[1,3,4,7],[2,5,8],[6]]           => {{1,3,4,7},{2,5,8},{6}}
[[1,2,4,7],[3,5,8],[6]]           => {{1,2,4,7},{3,5,8},{6}}
[[1,2,3,7],[4,5,8],[6]]           => {{1,2,3,7},{4,5,8},{6}}
[[1,4,5,6],[2,7,8],[3]]           => {{1,4,5,6},{2,7,8},{3}}
[[1,3,5,6],[2,7,8],[4]]           => {{1,3,5,6},{2,7,8},{4}}
[[1,2,5,6],[3,7,8],[4]]           => {{1,2,5,6},{3,7,8},{4}}
[[1,3,4,6],[2,7,8],[5]]           => {{1,3,4,6},{2,7,8},{5}}
[[1,2,4,6],[3,7,8],[5]]           => {{1,2,4,6},{3,7,8},{5}}
[[1,2,3,6],[4,7,8],[5]]           => {{1,2,3,6},{4,7,8},{5}}
[[1,3,4,5],[2,7,8],[6]]           => {{1,3,4,5},{2,7,8},{6}}
[[1,2,4,5],[3,7,8],[6]]           => {{1,2,4,5},{3,7,8},{6}}
[[1,2,3,5],[4,7,8],[6]]           => {{1,2,3,5},{4,7,8},{6}}
[[1,2,3,4],[5,7,8],[6]]           => {{1,2,3,4},{5,7,8},{6}}
[[1,3,5,6],[2,4,8],[7]]           => {{1,3,5,6},{2,4,8},{7}}
[[1,2,5,6],[3,4,8],[7]]           => {{1,2,5,6},{3,4,8},{7}}
[[1,3,4,6],[2,5,8],[7]]           => {{1,3,4,6},{2,5,8},{7}}
[[1,2,4,6],[3,5,8],[7]]           => {{1,2,4,6},{3,5,8},{7}}
[[1,2,3,6],[4,5,8],[7]]           => {{1,2,3,6},{4,5,8},{7}}
[[1,3,4,5],[2,6,8],[7]]           => {{1,3,4,5},{2,6,8},{7}}
[[1,2,4,5],[3,6,8],[7]]           => {{1,2,4,5},{3,6,8},{7}}
[[1,2,3,5],[4,6,8],[7]]           => {{1,2,3,5},{4,6,8},{7}}
[[1,2,3,4],[5,6,8],[7]]           => {{1,2,3,4},{5,6,8},{7}}
[[1,3,5,7],[2,4,6],[8]]           => {{1,3,5,7},{2,4,6},{8}}
[[1,2,5,7],[3,4,6],[8]]           => {{1,2,5,7},{3,4,6},{8}}
[[1,3,4,7],[2,5,6],[8]]           => {{1,3,4,7},{2,5,6},{8}}
[[1,2,4,7],[3,5,6],[8]]           => {{1,2,4,7},{3,5,6},{8}}
[[1,2,3,7],[4,5,6],[8]]           => {{1,2,3,7},{4,5,6},{8}}
[[1,3,5,6],[2,4,7],[8]]           => {{1,3,5,6},{2,4,7},{8}}
[[1,2,5,6],[3,4,7],[8]]           => {{1,2,5,6},{3,4,7},{8}}
[[1,3,4,6],[2,5,7],[8]]           => {{1,3,4,6},{2,5,7},{8}}
[[1,2,4,6],[3,5,7],[8]]           => {{1,2,4,6},{3,5,7},{8}}
[[1,2,3,6],[4,5,7],[8]]           => {{1,2,3,6},{4,5,7},{8}}
[[1,3,4,5],[2,6,7],[8]]           => {{1,3,4,5},{2,6,7},{8}}
[[1,2,4,5],[3,6,7],[8]]           => {{1,2,4,5},{3,6,7},{8}}
[[1,2,3,5],[4,6,7],[8]]           => {{1,2,3,5},{4,6,7},{8}}
[[1,2,3,4],[5,6,7],[8]]           => {{1,2,3,4},{5,6,7},{8}}
[[1,4,7,8],[2,5],[3,6]]           => {{1,4,7,8},{2,5},{3,6}}
[[1,3,7,8],[2,5],[4,6]]           => {{1,3,7,8},{2,5},{4,6}}
[[1,2,7,8],[3,5],[4,6]]           => {{1,2,7,8},{3,5},{4,6}}
[[1,3,7,8],[2,4],[5,6]]           => {{1,3,7,8},{2,4},{5,6}}
[[1,2,7,8],[3,4],[5,6]]           => {{1,2,7,8},{3,4},{5,6}}
[[1,4,6,8],[2,5],[3,7]]           => {{1,4,6,8},{2,5},{3,7}}
[[1,3,6,8],[2,5],[4,7]]           => {{1,3,6,8},{2,5},{4,7}}
[[1,2,6,8],[3,5],[4,7]]           => {{1,2,6,8},{3,5},{4,7}}
[[1,3,6,8],[2,4],[5,7]]           => {{1,3,6,8},{2,4},{5,7}}
[[1,2,6,8],[3,4],[5,7]]           => {{1,2,6,8},{3,4},{5,7}}
[[1,4,5,8],[2,6],[3,7]]           => {{1,4,5,8},{2,6},{3,7}}
[[1,3,5,8],[2,6],[4,7]]           => {{1,3,5,8},{2,6},{4,7}}
[[1,2,5,8],[3,6],[4,7]]           => {{1,2,5,8},{3,6},{4,7}}
[[1,3,4,8],[2,6],[5,7]]           => {{1,3,4,8},{2,6},{5,7}}
[[1,2,4,8],[3,6],[5,7]]           => {{1,2,4,8},{3,6},{5,7}}
[[1,2,3,8],[4,6],[5,7]]           => {{1,2,3,8},{4,6},{5,7}}
[[1,3,5,8],[2,4],[6,7]]           => {{1,3,5,8},{2,4},{6,7}}
[[1,2,5,8],[3,4],[6,7]]           => {{1,2,5,8},{3,4},{6,7}}
[[1,3,4,8],[2,5],[6,7]]           => {{1,3,4,8},{2,5},{6,7}}
[[1,2,4,8],[3,5],[6,7]]           => {{1,2,4,8},{3,5},{6,7}}
[[1,2,3,8],[4,5],[6,7]]           => {{1,2,3,8},{4,5},{6,7}}
[[1,4,6,7],[2,5],[3,8]]           => {{1,4,6,7},{2,5},{3,8}}
[[1,3,6,7],[2,5],[4,8]]           => {{1,3,6,7},{2,5},{4,8}}
[[1,2,6,7],[3,5],[4,8]]           => {{1,2,6,7},{3,5},{4,8}}
[[1,3,6,7],[2,4],[5,8]]           => {{1,3,6,7},{2,4},{5,8}}
[[1,2,6,7],[3,4],[5,8]]           => {{1,2,6,7},{3,4},{5,8}}
[[1,4,5,7],[2,6],[3,8]]           => {{1,4,5,7},{2,6},{3,8}}
[[1,3,5,7],[2,6],[4,8]]           => {{1,3,5,7},{2,6},{4,8}}
[[1,2,5,7],[3,6],[4,8]]           => {{1,2,5,7},{3,6},{4,8}}
[[1,3,4,7],[2,6],[5,8]]           => {{1,3,4,7},{2,6},{5,8}}
[[1,2,4,7],[3,6],[5,8]]           => {{1,2,4,7},{3,6},{5,8}}
[[1,2,3,7],[4,6],[5,8]]           => {{1,2,3,7},{4,6},{5,8}}
[[1,3,5,7],[2,4],[6,8]]           => {{1,3,5,7},{2,4},{6,8}}
[[1,2,5,7],[3,4],[6,8]]           => {{1,2,5,7},{3,4},{6,8}}
[[1,3,4,7],[2,5],[6,8]]           => {{1,3,4,7},{2,5},{6,8}}
[[1,2,4,7],[3,5],[6,8]]           => {{1,2,4,7},{3,5},{6,8}}
[[1,2,3,7],[4,5],[6,8]]           => {{1,2,3,7},{4,5},{6,8}}
[[1,4,5,6],[2,7],[3,8]]           => {{1,4,5,6},{2,7},{3,8}}
[[1,3,5,6],[2,7],[4,8]]           => {{1,3,5,6},{2,7},{4,8}}
[[1,2,5,6],[3,7],[4,8]]           => {{1,2,5,6},{3,7},{4,8}}
[[1,3,4,6],[2,7],[5,8]]           => {{1,3,4,6},{2,7},{5,8}}
[[1,2,4,6],[3,7],[5,8]]           => {{1,2,4,6},{3,7},{5,8}}
[[1,2,3,6],[4,7],[5,8]]           => {{1,2,3,6},{4,7},{5,8}}
[[1,3,4,5],[2,7],[6,8]]           => {{1,3,4,5},{2,7},{6,8}}
[[1,2,4,5],[3,7],[6,8]]           => {{1,2,4,5},{3,7},{6,8}}
[[1,2,3,5],[4,7],[6,8]]           => {{1,2,3,5},{4,7},{6,8}}
[[1,2,3,4],[5,7],[6,8]]           => {{1,2,3,4},{5,7},{6,8}}
[[1,3,5,6],[2,4],[7,8]]           => {{1,3,5,6},{2,4},{7,8}}
[[1,2,5,6],[3,4],[7,8]]           => {{1,2,5,6},{3,4},{7,8}}
[[1,3,4,6],[2,5],[7,8]]           => {{1,3,4,6},{2,5},{7,8}}
[[1,2,4,6],[3,5],[7,8]]           => {{1,2,4,6},{3,5},{7,8}}
[[1,2,3,6],[4,5],[7,8]]           => {{1,2,3,6},{4,5},{7,8}}
[[1,3,4,5],[2,6],[7,8]]           => {{1,3,4,5},{2,6},{7,8}}
[[1,2,4,5],[3,6],[7,8]]           => {{1,2,4,5},{3,6},{7,8}}
[[1,2,3,5],[4,6],[7,8]]           => {{1,2,3,5},{4,6},{7,8}}
[[1,2,3,4],[5,6],[7,8]]           => {{1,2,3,4},{5,6},{7,8}}
[[1,5,7,8],[2,6],[3],[4]]         => {{1,5,7,8},{2,6},{3},{4}}
[[1,4,7,8],[2,6],[3],[5]]         => {{1,4,7,8},{2,6},{3},{5}}
[[1,3,7,8],[2,6],[4],[5]]         => {{1,3,7,8},{2,6},{4},{5}}
[[1,2,7,8],[3,6],[4],[5]]         => {{1,2,7,8},{3,6},{4},{5}}
[[1,4,7,8],[2,5],[3],[6]]         => {{1,4,7,8},{2,5},{3},{6}}
[[1,3,7,8],[2,5],[4],[6]]         => {{1,3,7,8},{2,5},{4},{6}}
[[1,2,7,8],[3,5],[4],[6]]         => {{1,2,7,8},{3,5},{4},{6}}
[[1,3,7,8],[2,4],[5],[6]]         => {{1,3,7,8},{2,4},{5},{6}}
[[1,2,7,8],[3,4],[5],[6]]         => {{1,2,7,8},{3,4},{5},{6}}
[[1,5,6,8],[2,7],[3],[4]]         => {{1,5,6,8},{2,7},{3},{4}}
[[1,4,6,8],[2,7],[3],[5]]         => {{1,4,6,8},{2,7},{3},{5}}
[[1,3,6,8],[2,7],[4],[5]]         => {{1,3,6,8},{2,7},{4},{5}}
[[1,2,6,8],[3,7],[4],[5]]         => {{1,2,6,8},{3,7},{4},{5}}
[[1,4,5,8],[2,7],[3],[6]]         => {{1,4,5,8},{2,7},{3},{6}}
[[1,3,5,8],[2,7],[4],[6]]         => {{1,3,5,8},{2,7},{4},{6}}
[[1,2,5,8],[3,7],[4],[6]]         => {{1,2,5,8},{3,7},{4},{6}}
[[1,3,4,8],[2,7],[5],[6]]         => {{1,3,4,8},{2,7},{5},{6}}
[[1,2,4,8],[3,7],[5],[6]]         => {{1,2,4,8},{3,7},{5},{6}}
[[1,2,3,8],[4,7],[5],[6]]         => {{1,2,3,8},{4,7},{5},{6}}
[[1,4,6,8],[2,5],[3],[7]]         => {{1,4,6,8},{2,5},{3},{7}}
[[1,3,6,8],[2,5],[4],[7]]         => {{1,3,6,8},{2,5},{4},{7}}
[[1,2,6,8],[3,5],[4],[7]]         => {{1,2,6,8},{3,5},{4},{7}}
[[1,3,6,8],[2,4],[5],[7]]         => {{1,3,6,8},{2,4},{5},{7}}
[[1,2,6,8],[3,4],[5],[7]]         => {{1,2,6,8},{3,4},{5},{7}}
[[1,4,5,8],[2,6],[3],[7]]         => {{1,4,5,8},{2,6},{3},{7}}
[[1,3,5,8],[2,6],[4],[7]]         => {{1,3,5,8},{2,6},{4},{7}}
[[1,2,5,8],[3,6],[4],[7]]         => {{1,2,5,8},{3,6},{4},{7}}
[[1,3,4,8],[2,6],[5],[7]]         => {{1,3,4,8},{2,6},{5},{7}}
[[1,2,4,8],[3,6],[5],[7]]         => {{1,2,4,8},{3,6},{5},{7}}
[[1,2,3,8],[4,6],[5],[7]]         => {{1,2,3,8},{4,6},{5},{7}}
[[1,3,5,8],[2,4],[6],[7]]         => {{1,3,5,8},{2,4},{6},{7}}
[[1,2,5,8],[3,4],[6],[7]]         => {{1,2,5,8},{3,4},{6},{7}}
[[1,3,4,8],[2,5],[6],[7]]         => {{1,3,4,8},{2,5},{6},{7}}
[[1,2,4,8],[3,5],[6],[7]]         => {{1,2,4,8},{3,5},{6},{7}}
[[1,2,3,8],[4,5],[6],[7]]         => {{1,2,3,8},{4,5},{6},{7}}
[[1,5,6,7],[2,8],[3],[4]]         => {{1,5,6,7},{2,8},{3},{4}}
[[1,4,6,7],[2,8],[3],[5]]         => {{1,4,6,7},{2,8},{3},{5}}
[[1,3,6,7],[2,8],[4],[5]]         => {{1,3,6,7},{2,8},{4},{5}}
[[1,2,6,7],[3,8],[4],[5]]         => {{1,2,6,7},{3,8},{4},{5}}
[[1,4,5,7],[2,8],[3],[6]]         => {{1,4,5,7},{2,8},{3},{6}}
[[1,3,5,7],[2,8],[4],[6]]         => {{1,3,5,7},{2,8},{4},{6}}
[[1,2,5,7],[3,8],[4],[6]]         => {{1,2,5,7},{3,8},{4},{6}}
[[1,3,4,7],[2,8],[5],[6]]         => {{1,3,4,7},{2,8},{5},{6}}
[[1,2,4,7],[3,8],[5],[6]]         => {{1,2,4,7},{3,8},{5},{6}}
[[1,2,3,7],[4,8],[5],[6]]         => {{1,2,3,7},{4,8},{5},{6}}
[[1,4,5,6],[2,8],[3],[7]]         => {{1,4,5,6},{2,8},{3},{7}}
[[1,3,5,6],[2,8],[4],[7]]         => {{1,3,5,6},{2,8},{4},{7}}
[[1,2,5,6],[3,8],[4],[7]]         => {{1,2,5,6},{3,8},{4},{7}}
[[1,3,4,6],[2,8],[5],[7]]         => {{1,3,4,6},{2,8},{5},{7}}
[[1,2,4,6],[3,8],[5],[7]]         => {{1,2,4,6},{3,8},{5},{7}}
[[1,2,3,6],[4,8],[5],[7]]         => {{1,2,3,6},{4,8},{5},{7}}
[[1,3,4,5],[2,8],[6],[7]]         => {{1,3,4,5},{2,8},{6},{7}}
[[1,2,4,5],[3,8],[6],[7]]         => {{1,2,4,5},{3,8},{6},{7}}
[[1,2,3,5],[4,8],[6],[7]]         => {{1,2,3,5},{4,8},{6},{7}}
[[1,2,3,4],[5,8],[6],[7]]         => {{1,2,3,4},{5,8},{6},{7}}
[[1,4,6,7],[2,5],[3],[8]]         => {{1,4,6,7},{2,5},{3},{8}}
[[1,3,6,7],[2,5],[4],[8]]         => {{1,3,6,7},{2,5},{4},{8}}
[[1,2,6,7],[3,5],[4],[8]]         => {{1,2,6,7},{3,5},{4},{8}}
[[1,3,6,7],[2,4],[5],[8]]         => {{1,3,6,7},{2,4},{5},{8}}
[[1,2,6,7],[3,4],[5],[8]]         => {{1,2,6,7},{3,4},{5},{8}}
[[1,4,5,7],[2,6],[3],[8]]         => {{1,4,5,7},{2,6},{3},{8}}
[[1,3,5,7],[2,6],[4],[8]]         => {{1,3,5,7},{2,6},{4},{8}}
[[1,2,5,7],[3,6],[4],[8]]         => {{1,2,5,7},{3,6},{4},{8}}
[[1,3,4,7],[2,6],[5],[8]]         => {{1,3,4,7},{2,6},{5},{8}}
[[1,2,4,7],[3,6],[5],[8]]         => {{1,2,4,7},{3,6},{5},{8}}
[[1,2,3,7],[4,6],[5],[8]]         => {{1,2,3,7},{4,6},{5},{8}}
[[1,3,5,7],[2,4],[6],[8]]         => {{1,3,5,7},{2,4},{6},{8}}
[[1,2,5,7],[3,4],[6],[8]]         => {{1,2,5,7},{3,4},{6},{8}}
[[1,3,4,7],[2,5],[6],[8]]         => {{1,3,4,7},{2,5},{6},{8}}
[[1,2,4,7],[3,5],[6],[8]]         => {{1,2,4,7},{3,5},{6},{8}}
[[1,2,3,7],[4,5],[6],[8]]         => {{1,2,3,7},{4,5},{6},{8}}
[[1,4,5,6],[2,7],[3],[8]]         => {{1,4,5,6},{2,7},{3},{8}}
[[1,3,5,6],[2,7],[4],[8]]         => {{1,3,5,6},{2,7},{4},{8}}
[[1,2,5,6],[3,7],[4],[8]]         => {{1,2,5,6},{3,7},{4},{8}}
[[1,3,4,6],[2,7],[5],[8]]         => {{1,3,4,6},{2,7},{5},{8}}
[[1,2,4,6],[3,7],[5],[8]]         => {{1,2,4,6},{3,7},{5},{8}}
[[1,2,3,6],[4,7],[5],[8]]         => {{1,2,3,6},{4,7},{5},{8}}
[[1,3,4,5],[2,7],[6],[8]]         => {{1,3,4,5},{2,7},{6},{8}}
[[1,2,4,5],[3,7],[6],[8]]         => {{1,2,4,5},{3,7},{6},{8}}
[[1,2,3,5],[4,7],[6],[8]]         => {{1,2,3,5},{4,7},{6},{8}}
[[1,2,3,4],[5,7],[6],[8]]         => {{1,2,3,4},{5,7},{6},{8}}
[[1,3,5,6],[2,4],[7],[8]]         => {{1,3,5,6},{2,4},{7},{8}}
[[1,2,5,6],[3,4],[7],[8]]         => {{1,2,5,6},{3,4},{7},{8}}
[[1,3,4,6],[2,5],[7],[8]]         => {{1,3,4,6},{2,5},{7},{8}}
[[1,2,4,6],[3,5],[7],[8]]         => {{1,2,4,6},{3,5},{7},{8}}
[[1,2,3,6],[4,5],[7],[8]]         => {{1,2,3,6},{4,5},{7},{8}}
[[1,3,4,5],[2,6],[7],[8]]         => {{1,3,4,5},{2,6},{7},{8}}
[[1,2,4,5],[3,6],[7],[8]]         => {{1,2,4,5},{3,6},{7},{8}}
[[1,2,3,5],[4,6],[7],[8]]         => {{1,2,3,5},{4,6},{7},{8}}
[[1,2,3,4],[5,6],[7],[8]]         => {{1,2,3,4},{5,6},{7},{8}}
[[1,6,7,8],[2],[3],[4],[5]]       => {{1,6,7,8},{2},{3},{4},{5}}
[[1,5,7,8],[2],[3],[4],[6]]       => {{1,5,7,8},{2},{3},{4},{6}}
[[1,4,7,8],[2],[3],[5],[6]]       => {{1,4,7,8},{2},{3},{5},{6}}
[[1,3,7,8],[2],[4],[5],[6]]       => {{1,3,7,8},{2},{4},{5},{6}}
[[1,2,7,8],[3],[4],[5],[6]]       => {{1,2,7,8},{3},{4},{5},{6}}
[[1,5,6,8],[2],[3],[4],[7]]       => {{1,5,6,8},{2},{3},{4},{7}}
[[1,4,6,8],[2],[3],[5],[7]]       => {{1,4,6,8},{2},{3},{5},{7}}
[[1,3,6,8],[2],[4],[5],[7]]       => {{1,3,6,8},{2},{4},{5},{7}}
[[1,2,6,8],[3],[4],[5],[7]]       => {{1,2,6,8},{3},{4},{5},{7}}
[[1,4,5,8],[2],[3],[6],[7]]       => {{1,4,5,8},{2},{3},{6},{7}}
[[1,3,5,8],[2],[4],[6],[7]]       => {{1,3,5,8},{2},{4},{6},{7}}
[[1,2,5,8],[3],[4],[6],[7]]       => {{1,2,5,8},{3},{4},{6},{7}}
[[1,3,4,8],[2],[5],[6],[7]]       => {{1,3,4,8},{2},{5},{6},{7}}
[[1,2,4,8],[3],[5],[6],[7]]       => {{1,2,4,8},{3},{5},{6},{7}}
[[1,2,3,8],[4],[5],[6],[7]]       => {{1,2,3,8},{4},{5},{6},{7}}
[[1,5,6,7],[2],[3],[4],[8]]       => {{1,5,6,7},{2},{3},{4},{8}}
[[1,4,6,7],[2],[3],[5],[8]]       => {{1,4,6,7},{2},{3},{5},{8}}
[[1,3,6,7],[2],[4],[5],[8]]       => {{1,3,6,7},{2},{4},{5},{8}}
[[1,2,6,7],[3],[4],[5],[8]]       => {{1,2,6,7},{3},{4},{5},{8}}
[[1,4,5,7],[2],[3],[6],[8]]       => {{1,4,5,7},{2},{3},{6},{8}}
[[1,3,5,7],[2],[4],[6],[8]]       => {{1,3,5,7},{2},{4},{6},{8}}
[[1,2,5,7],[3],[4],[6],[8]]       => {{1,2,5,7},{3},{4},{6},{8}}
[[1,3,4,7],[2],[5],[6],[8]]       => {{1,3,4,7},{2},{5},{6},{8}}
[[1,2,4,7],[3],[5],[6],[8]]       => {{1,2,4,7},{3},{5},{6},{8}}
[[1,2,3,7],[4],[5],[6],[8]]       => {{1,2,3,7},{4},{5},{6},{8}}
[[1,4,5,6],[2],[3],[7],[8]]       => {{1,4,5,6},{2},{3},{7},{8}}
[[1,3,5,6],[2],[4],[7],[8]]       => {{1,3,5,6},{2},{4},{7},{8}}
[[1,2,5,6],[3],[4],[7],[8]]       => {{1,2,5,6},{3},{4},{7},{8}}
[[1,3,4,6],[2],[5],[7],[8]]       => {{1,3,4,6},{2},{5},{7},{8}}
[[1,2,4,6],[3],[5],[7],[8]]       => {{1,2,4,6},{3},{5},{7},{8}}
[[1,2,3,6],[4],[5],[7],[8]]       => {{1,2,3,6},{4},{5},{7},{8}}
[[1,3,4,5],[2],[6],[7],[8]]       => {{1,3,4,5},{2},{6},{7},{8}}
[[1,2,4,5],[3],[6],[7],[8]]       => {{1,2,4,5},{3},{6},{7},{8}}
[[1,2,3,5],[4],[6],[7],[8]]       => {{1,2,3,5},{4},{6},{7},{8}}
[[1,2,3,4],[5],[6],[7],[8]]       => {{1,2,3,4},{5},{6},{7},{8}}
[[1,4,7],[2,5,8],[3,6]]           => {{1,4,7},{2,5,8},{3,6}}
[[1,3,7],[2,5,8],[4,6]]           => {{1,3,7},{2,5,8},{4,6}}
[[1,2,7],[3,5,8],[4,6]]           => {{1,2,7},{3,5,8},{4,6}}
[[1,3,7],[2,4,8],[5,6]]           => {{1,3,7},{2,4,8},{5,6}}
[[1,2,7],[3,4,8],[5,6]]           => {{1,2,7},{3,4,8},{5,6}}
[[1,4,6],[2,5,8],[3,7]]           => {{1,4,6},{2,5,8},{3,7}}
[[1,3,6],[2,5,8],[4,7]]           => {{1,3,6},{2,5,8},{4,7}}
[[1,2,6],[3,5,8],[4,7]]           => {{1,2,6},{3,5,8},{4,7}}
[[1,3,6],[2,4,8],[5,7]]           => {{1,3,6},{2,4,8},{5,7}}
[[1,2,6],[3,4,8],[5,7]]           => {{1,2,6},{3,4,8},{5,7}}
[[1,4,5],[2,6,8],[3,7]]           => {{1,4,5},{2,6,8},{3,7}}
[[1,3,5],[2,6,8],[4,7]]           => {{1,3,5},{2,6,8},{4,7}}
[[1,2,5],[3,6,8],[4,7]]           => {{1,2,5},{3,6,8},{4,7}}
[[1,3,4],[2,6,8],[5,7]]           => {{1,3,4},{2,6,8},{5,7}}
[[1,2,4],[3,6,8],[5,7]]           => {{1,2,4},{3,6,8},{5,7}}
[[1,2,3],[4,6,8],[5,7]]           => {{1,2,3},{4,6,8},{5,7}}
[[1,3,5],[2,4,8],[6,7]]           => {{1,3,5},{2,4,8},{6,7}}
[[1,2,5],[3,4,8],[6,7]]           => {{1,2,5},{3,4,8},{6,7}}
[[1,3,4],[2,5,8],[6,7]]           => {{1,3,4},{2,5,8},{6,7}}
[[1,2,4],[3,5,8],[6,7]]           => {{1,2,4},{3,5,8},{6,7}}
[[1,2,3],[4,5,8],[6,7]]           => {{1,2,3},{4,5,8},{6,7}}
[[1,4,6],[2,5,7],[3,8]]           => {{1,4,6},{2,5,7},{3,8}}
[[1,3,6],[2,5,7],[4,8]]           => {{1,3,6},{2,5,7},{4,8}}
[[1,2,6],[3,5,7],[4,8]]           => {{1,2,6},{3,5,7},{4,8}}
[[1,3,6],[2,4,7],[5,8]]           => {{1,3,6},{2,4,7},{5,8}}
[[1,2,6],[3,4,7],[5,8]]           => {{1,2,6},{3,4,7},{5,8}}
[[1,4,5],[2,6,7],[3,8]]           => {{1,4,5},{2,6,7},{3,8}}
[[1,3,5],[2,6,7],[4,8]]           => {{1,3,5},{2,6,7},{4,8}}
[[1,2,5],[3,6,7],[4,8]]           => {{1,2,5},{3,6,7},{4,8}}
[[1,3,4],[2,6,7],[5,8]]           => {{1,3,4},{2,6,7},{5,8}}
[[1,2,4],[3,6,7],[5,8]]           => {{1,2,4},{3,6,7},{5,8}}
[[1,2,3],[4,6,7],[5,8]]           => {{1,2,3},{4,6,7},{5,8}}
[[1,3,5],[2,4,7],[6,8]]           => {{1,3,5},{2,4,7},{6,8}}
[[1,2,5],[3,4,7],[6,8]]           => {{1,2,5},{3,4,7},{6,8}}
[[1,3,4],[2,5,7],[6,8]]           => {{1,3,4},{2,5,7},{6,8}}
[[1,2,4],[3,5,7],[6,8]]           => {{1,2,4},{3,5,7},{6,8}}
[[1,2,3],[4,5,7],[6,8]]           => {{1,2,3},{4,5,7},{6,8}}
[[1,3,5],[2,4,6],[7,8]]           => {{1,3,5},{2,4,6},{7,8}}
[[1,2,5],[3,4,6],[7,8]]           => {{1,2,5},{3,4,6},{7,8}}
[[1,3,4],[2,5,6],[7,8]]           => {{1,3,4},{2,5,6},{7,8}}
[[1,2,4],[3,5,6],[7,8]]           => {{1,2,4},{3,5,6},{7,8}}
[[1,2,3],[4,5,6],[7,8]]           => {{1,2,3},{4,5,6},{7,8}}
[[1,5,7],[2,6,8],[3],[4]]         => {{1,5,7},{2,6,8},{3},{4}}
[[1,4,7],[2,6,8],[3],[5]]         => {{1,4,7},{2,6,8},{3},{5}}
[[1,3,7],[2,6,8],[4],[5]]         => {{1,3,7},{2,6,8},{4},{5}}
[[1,2,7],[3,6,8],[4],[5]]         => {{1,2,7},{3,6,8},{4},{5}}
[[1,4,7],[2,5,8],[3],[6]]         => {{1,4,7},{2,5,8},{3},{6}}
[[1,3,7],[2,5,8],[4],[6]]         => {{1,3,7},{2,5,8},{4},{6}}
[[1,2,7],[3,5,8],[4],[6]]         => {{1,2,7},{3,5,8},{4},{6}}
[[1,3,7],[2,4,8],[5],[6]]         => {{1,3,7},{2,4,8},{5},{6}}
[[1,2,7],[3,4,8],[5],[6]]         => {{1,2,7},{3,4,8},{5},{6}}
[[1,5,6],[2,7,8],[3],[4]]         => {{1,5,6},{2,7,8},{3},{4}}
[[1,4,6],[2,7,8],[3],[5]]         => {{1,4,6},{2,7,8},{3},{5}}
[[1,3,6],[2,7,8],[4],[5]]         => {{1,3,6},{2,7,8},{4},{5}}
[[1,2,6],[3,7,8],[4],[5]]         => {{1,2,6},{3,7,8},{4},{5}}
[[1,4,5],[2,7,8],[3],[6]]         => {{1,4,5},{2,7,8},{3},{6}}
[[1,3,5],[2,7,8],[4],[6]]         => {{1,3,5},{2,7,8},{4},{6}}
[[1,2,5],[3,7,8],[4],[6]]         => {{1,2,5},{3,7,8},{4},{6}}
[[1,3,4],[2,7,8],[5],[6]]         => {{1,3,4},{2,7,8},{5},{6}}
[[1,2,4],[3,7,8],[5],[6]]         => {{1,2,4},{3,7,8},{5},{6}}
[[1,2,3],[4,7,8],[5],[6]]         => {{1,2,3},{4,7,8},{5},{6}}
[[1,4,6],[2,5,8],[3],[7]]         => {{1,4,6},{2,5,8},{3},{7}}
[[1,3,6],[2,5,8],[4],[7]]         => {{1,3,6},{2,5,8},{4},{7}}
[[1,2,6],[3,5,8],[4],[7]]         => {{1,2,6},{3,5,8},{4},{7}}
[[1,3,6],[2,4,8],[5],[7]]         => {{1,3,6},{2,4,8},{5},{7}}
[[1,2,6],[3,4,8],[5],[7]]         => {{1,2,6},{3,4,8},{5},{7}}
[[1,4,5],[2,6,8],[3],[7]]         => {{1,4,5},{2,6,8},{3},{7}}
[[1,3,5],[2,6,8],[4],[7]]         => {{1,3,5},{2,6,8},{4},{7}}
[[1,2,5],[3,6,8],[4],[7]]         => {{1,2,5},{3,6,8},{4},{7}}
[[1,3,4],[2,6,8],[5],[7]]         => {{1,3,4},{2,6,8},{5},{7}}
[[1,2,4],[3,6,8],[5],[7]]         => {{1,2,4},{3,6,8},{5},{7}}
[[1,2,3],[4,6,8],[5],[7]]         => {{1,2,3},{4,6,8},{5},{7}}
[[1,3,5],[2,4,8],[6],[7]]         => {{1,3,5},{2,4,8},{6},{7}}
[[1,2,5],[3,4,8],[6],[7]]         => {{1,2,5},{3,4,8},{6},{7}}
[[1,3,4],[2,5,8],[6],[7]]         => {{1,3,4},{2,5,8},{6},{7}}
[[1,2,4],[3,5,8],[6],[7]]         => {{1,2,4},{3,5,8},{6},{7}}
[[1,2,3],[4,5,8],[6],[7]]         => {{1,2,3},{4,5,8},{6},{7}}
[[1,4,6],[2,5,7],[3],[8]]         => {{1,4,6},{2,5,7},{3},{8}}
[[1,3,6],[2,5,7],[4],[8]]         => {{1,3,6},{2,5,7},{4},{8}}
[[1,2,6],[3,5,7],[4],[8]]         => {{1,2,6},{3,5,7},{4},{8}}
[[1,3,6],[2,4,7],[5],[8]]         => {{1,3,6},{2,4,7},{5},{8}}
[[1,2,6],[3,4,7],[5],[8]]         => {{1,2,6},{3,4,7},{5},{8}}
[[1,4,5],[2,6,7],[3],[8]]         => {{1,4,5},{2,6,7},{3},{8}}
[[1,3,5],[2,6,7],[4],[8]]         => {{1,3,5},{2,6,7},{4},{8}}
[[1,2,5],[3,6,7],[4],[8]]         => {{1,2,5},{3,6,7},{4},{8}}
[[1,3,4],[2,6,7],[5],[8]]         => {{1,3,4},{2,6,7},{5},{8}}
[[1,2,4],[3,6,7],[5],[8]]         => {{1,2,4},{3,6,7},{5},{8}}
[[1,2,3],[4,6,7],[5],[8]]         => {{1,2,3},{4,6,7},{5},{8}}
[[1,3,5],[2,4,7],[6],[8]]         => {{1,3,5},{2,4,7},{6},{8}}
[[1,2,5],[3,4,7],[6],[8]]         => {{1,2,5},{3,4,7},{6},{8}}
[[1,3,4],[2,5,7],[6],[8]]         => {{1,3,4},{2,5,7},{6},{8}}
[[1,2,4],[3,5,7],[6],[8]]         => {{1,2,4},{3,5,7},{6},{8}}
[[1,2,3],[4,5,7],[6],[8]]         => {{1,2,3},{4,5,7},{6},{8}}
[[1,3,5],[2,4,6],[7],[8]]         => {{1,3,5},{2,4,6},{7},{8}}
[[1,2,5],[3,4,6],[7],[8]]         => {{1,2,5},{3,4,6},{7},{8}}
[[1,3,4],[2,5,6],[7],[8]]         => {{1,3,4},{2,5,6},{7},{8}}
[[1,2,4],[3,5,6],[7],[8]]         => {{1,2,4},{3,5,6},{7},{8}}
[[1,2,3],[4,5,6],[7],[8]]         => {{1,2,3},{4,5,6},{7},{8}}
[[1,5,8],[2,6],[3,7],[4]]         => {{1,5,8},{2,6},{3,7},{4}}
[[1,4,8],[2,6],[3,7],[5]]         => {{1,4,8},{2,6},{3,7},{5}}
[[1,3,8],[2,6],[4,7],[5]]         => {{1,3,8},{2,6},{4,7},{5}}
[[1,2,8],[3,6],[4,7],[5]]         => {{1,2,8},{3,6},{4,7},{5}}
[[1,4,8],[2,5],[3,7],[6]]         => {{1,4,8},{2,5},{3,7},{6}}
[[1,3,8],[2,5],[4,7],[6]]         => {{1,3,8},{2,5},{4,7},{6}}
[[1,2,8],[3,5],[4,7],[6]]         => {{1,2,8},{3,5},{4,7},{6}}
[[1,3,8],[2,4],[5,7],[6]]         => {{1,3,8},{2,4},{5,7},{6}}
[[1,2,8],[3,4],[5,7],[6]]         => {{1,2,8},{3,4},{5,7},{6}}
[[1,4,8],[2,5],[3,6],[7]]         => {{1,4,8},{2,5},{3,6},{7}}
[[1,3,8],[2,5],[4,6],[7]]         => {{1,3,8},{2,5},{4,6},{7}}
[[1,2,8],[3,5],[4,6],[7]]         => {{1,2,8},{3,5},{4,6},{7}}
[[1,3,8],[2,4],[5,6],[7]]         => {{1,3,8},{2,4},{5,6},{7}}
[[1,2,8],[3,4],[5,6],[7]]         => {{1,2,8},{3,4},{5,6},{7}}
[[1,5,7],[2,6],[3,8],[4]]         => {{1,5,7},{2,6},{3,8},{4}}
[[1,4,7],[2,6],[3,8],[5]]         => {{1,4,7},{2,6},{3,8},{5}}
[[1,3,7],[2,6],[4,8],[5]]         => {{1,3,7},{2,6},{4,8},{5}}
[[1,2,7],[3,6],[4,8],[5]]         => {{1,2,7},{3,6},{4,8},{5}}
[[1,4,7],[2,5],[3,8],[6]]         => {{1,4,7},{2,5},{3,8},{6}}
[[1,3,7],[2,5],[4,8],[6]]         => {{1,3,7},{2,5},{4,8},{6}}
[[1,2,7],[3,5],[4,8],[6]]         => {{1,2,7},{3,5},{4,8},{6}}
[[1,3,7],[2,4],[5,8],[6]]         => {{1,3,7},{2,4},{5,8},{6}}
[[1,2,7],[3,4],[5,8],[6]]         => {{1,2,7},{3,4},{5,8},{6}}
[[1,5,6],[2,7],[3,8],[4]]         => {{1,5,6},{2,7},{3,8},{4}}
[[1,4,6],[2,7],[3,8],[5]]         => {{1,4,6},{2,7},{3,8},{5}}
[[1,3,6],[2,7],[4,8],[5]]         => {{1,3,6},{2,7},{4,8},{5}}
[[1,2,6],[3,7],[4,8],[5]]         => {{1,2,6},{3,7},{4,8},{5}}
[[1,4,5],[2,7],[3,8],[6]]         => {{1,4,5},{2,7},{3,8},{6}}
[[1,3,5],[2,7],[4,8],[6]]         => {{1,3,5},{2,7},{4,8},{6}}
[[1,2,5],[3,7],[4,8],[6]]         => {{1,2,5},{3,7},{4,8},{6}}
[[1,3,4],[2,7],[5,8],[6]]         => {{1,3,4},{2,7},{5,8},{6}}
[[1,2,4],[3,7],[5,8],[6]]         => {{1,2,4},{3,7},{5,8},{6}}
[[1,2,3],[4,7],[5,8],[6]]         => {{1,2,3},{4,7},{5,8},{6}}
[[1,4,6],[2,5],[3,8],[7]]         => {{1,4,6},{2,5},{3,8},{7}}
[[1,3,6],[2,5],[4,8],[7]]         => {{1,3,6},{2,5},{4,8},{7}}
[[1,2,6],[3,5],[4,8],[7]]         => {{1,2,6},{3,5},{4,8},{7}}
[[1,3,6],[2,4],[5,8],[7]]         => {{1,3,6},{2,4},{5,8},{7}}
[[1,2,6],[3,4],[5,8],[7]]         => {{1,2,6},{3,4},{5,8},{7}}
[[1,4,5],[2,6],[3,8],[7]]         => {{1,4,5},{2,6},{3,8},{7}}
[[1,3,5],[2,6],[4,8],[7]]         => {{1,3,5},{2,6},{4,8},{7}}
[[1,2,5],[3,6],[4,8],[7]]         => {{1,2,5},{3,6},{4,8},{7}}
[[1,3,4],[2,6],[5,8],[7]]         => {{1,3,4},{2,6},{5,8},{7}}
[[1,2,4],[3,6],[5,8],[7]]         => {{1,2,4},{3,6},{5,8},{7}}
[[1,2,3],[4,6],[5,8],[7]]         => {{1,2,3},{4,6},{5,8},{7}}
[[1,3,5],[2,4],[6,8],[7]]         => {{1,3,5},{2,4},{6,8},{7}}
[[1,2,5],[3,4],[6,8],[7]]         => {{1,2,5},{3,4},{6,8},{7}}
[[1,3,4],[2,5],[6,8],[7]]         => {{1,3,4},{2,5},{6,8},{7}}
[[1,2,4],[3,5],[6,8],[7]]         => {{1,2,4},{3,5},{6,8},{7}}
[[1,2,3],[4,5],[6,8],[7]]         => {{1,2,3},{4,5},{6,8},{7}}
[[1,4,7],[2,5],[3,6],[8]]         => {{1,4,7},{2,5},{3,6},{8}}
[[1,3,7],[2,5],[4,6],[8]]         => {{1,3,7},{2,5},{4,6},{8}}
[[1,2,7],[3,5],[4,6],[8]]         => {{1,2,7},{3,5},{4,6},{8}}
[[1,3,7],[2,4],[5,6],[8]]         => {{1,3,7},{2,4},{5,6},{8}}
[[1,2,7],[3,4],[5,6],[8]]         => {{1,2,7},{3,4},{5,6},{8}}
[[1,4,6],[2,5],[3,7],[8]]         => {{1,4,6},{2,5},{3,7},{8}}
[[1,3,6],[2,5],[4,7],[8]]         => {{1,3,6},{2,5},{4,7},{8}}
[[1,2,6],[3,5],[4,7],[8]]         => {{1,2,6},{3,5},{4,7},{8}}
[[1,3,6],[2,4],[5,7],[8]]         => {{1,3,6},{2,4},{5,7},{8}}
[[1,2,6],[3,4],[5,7],[8]]         => {{1,2,6},{3,4},{5,7},{8}}
[[1,4,5],[2,6],[3,7],[8]]         => {{1,4,5},{2,6},{3,7},{8}}
[[1,3,5],[2,6],[4,7],[8]]         => {{1,3,5},{2,6},{4,7},{8}}
[[1,2,5],[3,6],[4,7],[8]]         => {{1,2,5},{3,6},{4,7},{8}}
[[1,3,4],[2,6],[5,7],[8]]         => {{1,3,4},{2,6},{5,7},{8}}
[[1,2,4],[3,6],[5,7],[8]]         => {{1,2,4},{3,6},{5,7},{8}}
[[1,2,3],[4,6],[5,7],[8]]         => {{1,2,3},{4,6},{5,7},{8}}
[[1,3,5],[2,4],[6,7],[8]]         => {{1,3,5},{2,4},{6,7},{8}}
[[1,2,5],[3,4],[6,7],[8]]         => {{1,2,5},{3,4},{6,7},{8}}
[[1,3,4],[2,5],[6,7],[8]]         => {{1,3,4},{2,5},{6,7},{8}}
[[1,2,4],[3,5],[6,7],[8]]         => {{1,2,4},{3,5},{6,7},{8}}
[[1,2,3],[4,5],[6,7],[8]]         => {{1,2,3},{4,5},{6,7},{8}}
[[1,6,8],[2,7],[3],[4],[5]]       => {{1,6,8},{2,7},{3},{4},{5}}
[[1,5,8],[2,7],[3],[4],[6]]       => {{1,5,8},{2,7},{3},{4},{6}}
[[1,4,8],[2,7],[3],[5],[6]]       => {{1,4,8},{2,7},{3},{5},{6}}
[[1,3,8],[2,7],[4],[5],[6]]       => {{1,3,8},{2,7},{4},{5},{6}}
[[1,2,8],[3,7],[4],[5],[6]]       => {{1,2,8},{3,7},{4},{5},{6}}
[[1,5,8],[2,6],[3],[4],[7]]       => {{1,5,8},{2,6},{3},{4},{7}}
[[1,4,8],[2,6],[3],[5],[7]]       => {{1,4,8},{2,6},{3},{5},{7}}
[[1,3,8],[2,6],[4],[5],[7]]       => {{1,3,8},{2,6},{4},{5},{7}}
[[1,2,8],[3,6],[4],[5],[7]]       => {{1,2,8},{3,6},{4},{5},{7}}
[[1,4,8],[2,5],[3],[6],[7]]       => {{1,4,8},{2,5},{3},{6},{7}}
[[1,3,8],[2,5],[4],[6],[7]]       => {{1,3,8},{2,5},{4},{6},{7}}
[[1,2,8],[3,5],[4],[6],[7]]       => {{1,2,8},{3,5},{4},{6},{7}}
[[1,3,8],[2,4],[5],[6],[7]]       => {{1,3,8},{2,4},{5},{6},{7}}
[[1,2,8],[3,4],[5],[6],[7]]       => {{1,2,8},{3,4},{5},{6},{7}}
[[1,6,7],[2,8],[3],[4],[5]]       => {{1,6,7},{2,8},{3},{4},{5}}
[[1,5,7],[2,8],[3],[4],[6]]       => {{1,5,7},{2,8},{3},{4},{6}}
[[1,4,7],[2,8],[3],[5],[6]]       => {{1,4,7},{2,8},{3},{5},{6}}
[[1,3,7],[2,8],[4],[5],[6]]       => {{1,3,7},{2,8},{4},{5},{6}}
[[1,2,7],[3,8],[4],[5],[6]]       => {{1,2,7},{3,8},{4},{5},{6}}
[[1,5,6],[2,8],[3],[4],[7]]       => {{1,5,6},{2,8},{3},{4},{7}}
[[1,4,6],[2,8],[3],[5],[7]]       => {{1,4,6},{2,8},{3},{5},{7}}
[[1,3,6],[2,8],[4],[5],[7]]       => {{1,3,6},{2,8},{4},{5},{7}}
[[1,2,6],[3,8],[4],[5],[7]]       => {{1,2,6},{3,8},{4},{5},{7}}
[[1,4,5],[2,8],[3],[6],[7]]       => {{1,4,5},{2,8},{3},{6},{7}}
[[1,3,5],[2,8],[4],[6],[7]]       => {{1,3,5},{2,8},{4},{6},{7}}
[[1,2,5],[3,8],[4],[6],[7]]       => {{1,2,5},{3,8},{4},{6},{7}}
[[1,3,4],[2,8],[5],[6],[7]]       => {{1,3,4},{2,8},{5},{6},{7}}
[[1,2,4],[3,8],[5],[6],[7]]       => {{1,2,4},{3,8},{5},{6},{7}}
[[1,2,3],[4,8],[5],[6],[7]]       => {{1,2,3},{4,8},{5},{6},{7}}
[[1,5,7],[2,6],[3],[4],[8]]       => {{1,5,7},{2,6},{3},{4},{8}}
[[1,4,7],[2,6],[3],[5],[8]]       => {{1,4,7},{2,6},{3},{5},{8}}
[[1,3,7],[2,6],[4],[5],[8]]       => {{1,3,7},{2,6},{4},{5},{8}}
[[1,2,7],[3,6],[4],[5],[8]]       => {{1,2,7},{3,6},{4},{5},{8}}
[[1,4,7],[2,5],[3],[6],[8]]       => {{1,4,7},{2,5},{3},{6},{8}}
[[1,3,7],[2,5],[4],[6],[8]]       => {{1,3,7},{2,5},{4},{6},{8}}
[[1,2,7],[3,5],[4],[6],[8]]       => {{1,2,7},{3,5},{4},{6},{8}}
[[1,3,7],[2,4],[5],[6],[8]]       => {{1,3,7},{2,4},{5},{6},{8}}
[[1,2,7],[3,4],[5],[6],[8]]       => {{1,2,7},{3,4},{5},{6},{8}}
[[1,5,6],[2,7],[3],[4],[8]]       => {{1,5,6},{2,7},{3},{4},{8}}
[[1,4,6],[2,7],[3],[5],[8]]       => {{1,4,6},{2,7},{3},{5},{8}}
[[1,3,6],[2,7],[4],[5],[8]]       => {{1,3,6},{2,7},{4},{5},{8}}
[[1,2,6],[3,7],[4],[5],[8]]       => {{1,2,6},{3,7},{4},{5},{8}}
[[1,4,5],[2,7],[3],[6],[8]]       => {{1,4,5},{2,7},{3},{6},{8}}
[[1,3,5],[2,7],[4],[6],[8]]       => {{1,3,5},{2,7},{4},{6},{8}}
[[1,2,5],[3,7],[4],[6],[8]]       => {{1,2,5},{3,7},{4},{6},{8}}
[[1,3,4],[2,7],[5],[6],[8]]       => {{1,3,4},{2,7},{5},{6},{8}}
[[1,2,4],[3,7],[5],[6],[8]]       => {{1,2,4},{3,7},{5},{6},{8}}
[[1,2,3],[4,7],[5],[6],[8]]       => {{1,2,3},{4,7},{5},{6},{8}}
[[1,4,6],[2,5],[3],[7],[8]]       => {{1,4,6},{2,5},{3},{7},{8}}
[[1,3,6],[2,5],[4],[7],[8]]       => {{1,3,6},{2,5},{4},{7},{8}}
[[1,2,6],[3,5],[4],[7],[8]]       => {{1,2,6},{3,5},{4},{7},{8}}
[[1,3,6],[2,4],[5],[7],[8]]       => {{1,3,6},{2,4},{5},{7},{8}}
[[1,2,6],[3,4],[5],[7],[8]]       => {{1,2,6},{3,4},{5},{7},{8}}
[[1,4,5],[2,6],[3],[7],[8]]       => {{1,4,5},{2,6},{3},{7},{8}}
[[1,3,5],[2,6],[4],[7],[8]]       => {{1,3,5},{2,6},{4},{7},{8}}
[[1,2,5],[3,6],[4],[7],[8]]       => {{1,2,5},{3,6},{4},{7},{8}}
[[1,3,4],[2,6],[5],[7],[8]]       => {{1,3,4},{2,6},{5},{7},{8}}
[[1,2,4],[3,6],[5],[7],[8]]       => {{1,2,4},{3,6},{5},{7},{8}}
[[1,2,3],[4,6],[5],[7],[8]]       => {{1,2,3},{4,6},{5},{7},{8}}
[[1,3,5],[2,4],[6],[7],[8]]       => {{1,3,5},{2,4},{6},{7},{8}}
[[1,2,5],[3,4],[6],[7],[8]]       => {{1,2,5},{3,4},{6},{7},{8}}
[[1,3,4],[2,5],[6],[7],[8]]       => {{1,3,4},{2,5},{6},{7},{8}}
[[1,2,4],[3,5],[6],[7],[8]]       => {{1,2,4},{3,5},{6},{7},{8}}
[[1,2,3],[4,5],[6],[7],[8]]       => {{1,2,3},{4,5},{6},{7},{8}}
[[1,7,8],[2],[3],[4],[5],[6]]     => {{1,7,8},{2},{3},{4},{5},{6}}
[[1,6,8],[2],[3],[4],[5],[7]]     => {{1,6,8},{2},{3},{4},{5},{7}}
[[1,5,8],[2],[3],[4],[6],[7]]     => {{1,5,8},{2},{3},{4},{6},{7}}
[[1,4,8],[2],[3],[5],[6],[7]]     => {{1,4,8},{2},{3},{5},{6},{7}}
[[1,3,8],[2],[4],[5],[6],[7]]     => {{1,3,8},{2},{4},{5},{6},{7}}
[[1,2,8],[3],[4],[5],[6],[7]]     => {{1,2,8},{3},{4},{5},{6},{7}}
[[1,6,7],[2],[3],[4],[5],[8]]     => {{1,6,7},{2},{3},{4},{5},{8}}
[[1,5,7],[2],[3],[4],[6],[8]]     => {{1,5,7},{2},{3},{4},{6},{8}}
[[1,4,7],[2],[3],[5],[6],[8]]     => {{1,4,7},{2},{3},{5},{6},{8}}
[[1,3,7],[2],[4],[5],[6],[8]]     => {{1,3,7},{2},{4},{5},{6},{8}}
[[1,2,7],[3],[4],[5],[6],[8]]     => {{1,2,7},{3},{4},{5},{6},{8}}
[[1,5,6],[2],[3],[4],[7],[8]]     => {{1,5,6},{2},{3},{4},{7},{8}}
[[1,4,6],[2],[3],[5],[7],[8]]     => {{1,4,6},{2},{3},{5},{7},{8}}
[[1,3,6],[2],[4],[5],[7],[8]]     => {{1,3,6},{2},{4},{5},{7},{8}}
[[1,2,6],[3],[4],[5],[7],[8]]     => {{1,2,6},{3},{4},{5},{7},{8}}
[[1,4,5],[2],[3],[6],[7],[8]]     => {{1,4,5},{2},{3},{6},{7},{8}}
[[1,3,5],[2],[4],[6],[7],[8]]     => {{1,3,5},{2},{4},{6},{7},{8}}
[[1,2,5],[3],[4],[6],[7],[8]]     => {{1,2,5},{3},{4},{6},{7},{8}}
[[1,3,4],[2],[5],[6],[7],[8]]     => {{1,3,4},{2},{5},{6},{7},{8}}
[[1,2,4],[3],[5],[6],[7],[8]]     => {{1,2,4},{3},{5},{6},{7},{8}}
[[1,2,3],[4],[5],[6],[7],[8]]     => {{1,2,3},{4},{5},{6},{7},{8}}
[[1,5],[2,6],[3,7],[4,8]]         => {{1,5},{2,6},{3,7},{4,8}}
[[1,4],[2,6],[3,7],[5,8]]         => {{1,4},{2,6},{3,7},{5,8}}
[[1,3],[2,6],[4,7],[5,8]]         => {{1,3},{2,6},{4,7},{5,8}}
[[1,2],[3,6],[4,7],[5,8]]         => {{1,2},{3,6},{4,7},{5,8}}
[[1,4],[2,5],[3,7],[6,8]]         => {{1,4},{2,5},{3,7},{6,8}}
[[1,3],[2,5],[4,7],[6,8]]         => {{1,3},{2,5},{4,7},{6,8}}
[[1,2],[3,5],[4,7],[6,8]]         => {{1,2},{3,5},{4,7},{6,8}}
[[1,3],[2,4],[5,7],[6,8]]         => {{1,3},{2,4},{5,7},{6,8}}
[[1,2],[3,4],[5,7],[6,8]]         => {{1,2},{3,4},{5,7},{6,8}}
[[1,4],[2,5],[3,6],[7,8]]         => {{1,4},{2,5},{3,6},{7,8}}
[[1,3],[2,5],[4,6],[7,8]]         => {{1,3},{2,5},{4,6},{7,8}}
[[1,2],[3,5],[4,6],[7,8]]         => {{1,2},{3,5},{4,6},{7,8}}
[[1,3],[2,4],[5,6],[7,8]]         => {{1,3},{2,4},{5,6},{7,8}}
[[1,2],[3,4],[5,6],[7,8]]         => {{1,2},{3,4},{5,6},{7,8}}
[[1,6],[2,7],[3,8],[4],[5]]       => {{1,6},{2,7},{3,8},{4},{5}}
[[1,5],[2,7],[3,8],[4],[6]]       => {{1,5},{2,7},{3,8},{4},{6}}
[[1,4],[2,7],[3,8],[5],[6]]       => {{1,4},{2,7},{3,8},{5},{6}}
[[1,3],[2,7],[4,8],[5],[6]]       => {{1,3},{2,7},{4,8},{5},{6}}
[[1,2],[3,7],[4,8],[5],[6]]       => {{1,2},{3,7},{4,8},{5},{6}}
[[1,5],[2,6],[3,8],[4],[7]]       => {{1,5},{2,6},{3,8},{4},{7}}
[[1,4],[2,6],[3,8],[5],[7]]       => {{1,4},{2,6},{3,8},{5},{7}}
[[1,3],[2,6],[4,8],[5],[7]]       => {{1,3},{2,6},{4,8},{5},{7}}
[[1,2],[3,6],[4,8],[5],[7]]       => {{1,2},{3,6},{4,8},{5},{7}}
[[1,4],[2,5],[3,8],[6],[7]]       => {{1,4},{2,5},{3,8},{6},{7}}
[[1,3],[2,5],[4,8],[6],[7]]       => {{1,3},{2,5},{4,8},{6},{7}}
[[1,2],[3,5],[4,8],[6],[7]]       => {{1,2},{3,5},{4,8},{6},{7}}
[[1,3],[2,4],[5,8],[6],[7]]       => {{1,3},{2,4},{5,8},{6},{7}}
[[1,2],[3,4],[5,8],[6],[7]]       => {{1,2},{3,4},{5,8},{6},{7}}
[[1,5],[2,6],[3,7],[4],[8]]       => {{1,5},{2,6},{3,7},{4},{8}}
[[1,4],[2,6],[3,7],[5],[8]]       => {{1,4},{2,6},{3,7},{5},{8}}
[[1,3],[2,6],[4,7],[5],[8]]       => {{1,3},{2,6},{4,7},{5},{8}}
[[1,2],[3,6],[4,7],[5],[8]]       => {{1,2},{3,6},{4,7},{5},{8}}
[[1,4],[2,5],[3,7],[6],[8]]       => {{1,4},{2,5},{3,7},{6},{8}}
[[1,3],[2,5],[4,7],[6],[8]]       => {{1,3},{2,5},{4,7},{6},{8}}
[[1,2],[3,5],[4,7],[6],[8]]       => {{1,2},{3,5},{4,7},{6},{8}}
[[1,3],[2,4],[5,7],[6],[8]]       => {{1,3},{2,4},{5,7},{6},{8}}
[[1,2],[3,4],[5,7],[6],[8]]       => {{1,2},{3,4},{5,7},{6},{8}}
[[1,4],[2,5],[3,6],[7],[8]]       => {{1,4},{2,5},{3,6},{7},{8}}
[[1,3],[2,5],[4,6],[7],[8]]       => {{1,3},{2,5},{4,6},{7},{8}}
[[1,2],[3,5],[4,6],[7],[8]]       => {{1,2},{3,5},{4,6},{7},{8}}
[[1,3],[2,4],[5,6],[7],[8]]       => {{1,3},{2,4},{5,6},{7},{8}}
[[1,2],[3,4],[5,6],[7],[8]]       => {{1,2},{3,4},{5,6},{7},{8}}
[[1,7],[2,8],[3],[4],[5],[6]]     => {{1,7},{2,8},{3},{4},{5},{6}}
[[1,6],[2,8],[3],[4],[5],[7]]     => {{1,6},{2,8},{3},{4},{5},{7}}
[[1,5],[2,8],[3],[4],[6],[7]]     => {{1,5},{2,8},{3},{4},{6},{7}}
[[1,4],[2,8],[3],[5],[6],[7]]     => {{1,4},{2,8},{3},{5},{6},{7}}
[[1,3],[2,8],[4],[5],[6],[7]]     => {{1,3},{2,8},{4},{5},{6},{7}}
[[1,2],[3,8],[4],[5],[6],[7]]     => {{1,2},{3,8},{4},{5},{6},{7}}
[[1,6],[2,7],[3],[4],[5],[8]]     => {{1,6},{2,7},{3},{4},{5},{8}}
[[1,5],[2,7],[3],[4],[6],[8]]     => {{1,5},{2,7},{3},{4},{6},{8}}
[[1,4],[2,7],[3],[5],[6],[8]]     => {{1,4},{2,7},{3},{5},{6},{8}}
[[1,3],[2,7],[4],[5],[6],[8]]     => {{1,3},{2,7},{4},{5},{6},{8}}
[[1,2],[3,7],[4],[5],[6],[8]]     => {{1,2},{3,7},{4},{5},{6},{8}}
[[1,5],[2,6],[3],[4],[7],[8]]     => {{1,5},{2,6},{3},{4},{7},{8}}
[[1,4],[2,6],[3],[5],[7],[8]]     => {{1,4},{2,6},{3},{5},{7},{8}}
[[1,3],[2,6],[4],[5],[7],[8]]     => {{1,3},{2,6},{4},{5},{7},{8}}
[[1,2],[3,6],[4],[5],[7],[8]]     => {{1,2},{3,6},{4},{5},{7},{8}}
[[1,4],[2,5],[3],[6],[7],[8]]     => {{1,4},{2,5},{3},{6},{7},{8}}
[[1,3],[2,5],[4],[6],[7],[8]]     => {{1,3},{2,5},{4},{6},{7},{8}}
[[1,2],[3,5],[4],[6],[7],[8]]     => {{1,2},{3,5},{4},{6},{7},{8}}
[[1,3],[2,4],[5],[6],[7],[8]]     => {{1,3},{2,4},{5},{6},{7},{8}}
[[1,2],[3,4],[5],[6],[7],[8]]     => {{1,2},{3,4},{5},{6},{7},{8}}
[[1,8],[2],[3],[4],[5],[6],[7]]   => {{1,8},{2},{3},{4},{5},{6},{7}}
[[1,7],[2],[3],[4],[5],[6],[8]]   => {{1,7},{2},{3},{4},{5},{6},{8}}
[[1,6],[2],[3],[4],[5],[7],[8]]   => {{1,6},{2},{3},{4},{5},{7},{8}}
[[1,5],[2],[3],[4],[6],[7],[8]]   => {{1,5},{2},{3},{4},{6},{7},{8}}
[[1,4],[2],[3],[5],[6],[7],[8]]   => {{1,4},{2},{3},{5},{6},{7},{8}}
[[1,3],[2],[4],[5],[6],[7],[8]]   => {{1,3},{2},{4},{5},{6},{7},{8}}
[[1,2],[3],[4],[5],[6],[7],[8]]   => {{1,2},{3},{4},{5},{6},{7},{8}}
[[1],[2],[3],[4],[5],[6],[7],[8]] => {{1},{2},{3},{4},{5},{6},{7},{8}}
[[1,3,5,7,9],[2,4,6,8,10]]        => {{1,3,5,7,9},{2,4,6,8,10}}
[[1,3,5,7,8],[2,4,6,9,10]]        => {{1,3,5,7,8},{2,4,6,9,10}}
[[1,3,5,6,9],[2,4,7,8,10]]        => {{1,3,5,6,9},{2,4,7,8,10}}
[[1,3,5,6,8],[2,4,7,9,10]]        => {{1,3,5,6,8},{2,4,7,9,10}}
[[1,3,5,6,7],[2,4,8,9,10]]        => {{1,3,5,6,7},{2,4,8,9,10}}
[[1,3,4,7,9],[2,5,6,8,10]]        => {{1,3,4,7,9},{2,5,6,8,10}}
[[1,3,4,7,8],[2,5,6,9,10]]        => {{1,3,4,7,8},{2,5,6,9,10}}
[[1,3,4,6,9],[2,5,7,8,10]]        => {{1,3,4,6,9},{2,5,7,8,10}}
[[1,3,4,6,8],[2,5,7,9,10]]        => {{1,3,4,6,8},{2,5,7,9,10}}
[[1,3,4,6,7],[2,5,8,9,10]]        => {{1,3,4,6,7},{2,5,8,9,10}}
[[1,3,4,5,9],[2,6,7,8,10]]        => {{1,3,4,5,9},{2,6,7,8,10}}
[[1,3,4,5,8],[2,6,7,9,10]]        => {{1,3,4,5,8},{2,6,7,9,10}}
[[1,3,4,5,7],[2,6,8,9,10]]        => {{1,3,4,5,7},{2,6,8,9,10}}
[[1,3,4,5,6],[2,7,8,9,10]]        => {{1,3,4,5,6},{2,7,8,9,10}}
[[1,2,5,7,9],[3,4,6,8,10]]        => {{1,2,5,7,9},{3,4,6,8,10}}
[[1,2,5,7,8],[3,4,6,9,10]]        => {{1,2,5,7,8},{3,4,6,9,10}}
[[1,2,5,6,9],[3,4,7,8,10]]        => {{1,2,5,6,9},{3,4,7,8,10}}
[[1,2,5,6,8],[3,4,7,9,10]]        => {{1,2,5,6,8},{3,4,7,9,10}}
[[1,2,5,6,7],[3,4,8,9,10]]        => {{1,2,5,6,7},{3,4,8,9,10}}
[[1,2,4,7,9],[3,5,6,8,10]]        => {{1,2,4,7,9},{3,5,6,8,10}}
[[1,2,4,7,8],[3,5,6,9,10]]        => {{1,2,4,7,8},{3,5,6,9,10}}
[[1,2,4,6,9],[3,5,7,8,10]]        => {{1,2,4,6,9},{3,5,7,8,10}}
[[1,2,4,6,8],[3,5,7,9,10]]        => {{1,2,4,6,8},{3,5,7,9,10}}
[[1,2,4,6,7],[3,5,8,9,10]]        => {{1,2,4,6,7},{3,5,8,9,10}}
[[1,2,4,5,9],[3,6,7,8,10]]        => {{1,2,4,5,9},{3,6,7,8,10}}
[[1,2,4,5,8],[3,6,7,9,10]]        => {{1,2,4,5,8},{3,6,7,9,10}}
[[1,2,4,5,7],[3,6,8,9,10]]        => {{1,2,4,5,7},{3,6,8,9,10}}
[[1,2,4,5,6],[3,7,8,9,10]]        => {{1,2,4,5,6},{3,7,8,9,10}}
[[1,2,3,7,9],[4,5,6,8,10]]        => {{1,2,3,7,9},{4,5,6,8,10}}
[[1,2,3,7,8],[4,5,6,9,10]]        => {{1,2,3,7,8},{4,5,6,9,10}}
[[1,2,3,6,9],[4,5,7,8,10]]        => {{1,2,3,6,9},{4,5,7,8,10}}
[[1,2,3,6,8],[4,5,7,9,10]]        => {{1,2,3,6,8},{4,5,7,9,10}}
[[1,2,3,6,7],[4,5,8,9,10]]        => {{1,2,3,6,7},{4,5,8,9,10}}
[[1,2,3,5,9],[4,6,7,8,10]]        => {{1,2,3,5,9},{4,6,7,8,10}}
[[1,2,3,5,8],[4,6,7,9,10]]        => {{1,2,3,5,8},{4,6,7,9,10}}
[[1,2,3,5,7],[4,6,8,9,10]]        => {{1,2,3,5,7},{4,6,8,9,10}}
[[1,2,3,5,6],[4,7,8,9,10]]        => {{1,2,3,5,6},{4,7,8,9,10}}
[[1,2,3,4,9],[5,6,7,8,10]]        => {{1,2,3,4,9},{5,6,7,8,10}}
[[1,2,3,4,8],[5,6,7,9,10]]        => {{1,2,3,4,8},{5,6,7,9,10}}
[[1,2,3,4,7],[5,6,8,9,10]]        => {{1,2,3,4,7},{5,6,8,9,10}}
[[1,2,3,4,6],[5,7,8,9,10]]        => {{1,2,3,4,6},{5,7,8,9,10}}
[[1,2,3,4,5],[6,7,8,9,10]]        => {{1,2,3,4,5},{6,7,8,9,10}}
[[1,3,5,7,9,11],[2,4,6,8,10,12]]  => {{1,3,5,7,9,11},{2,4,6,8,10,12}}
[[1,3,5,7,9,10],[2,4,6,8,11,12]]  => {{1,3,5,7,9,10},{2,4,6,8,11,12}}
[[1,3,5,7,8,11],[2,4,6,9,10,12]]  => {{1,3,5,7,8,11},{2,4,6,9,10,12}}
[[1,3,5,7,8,10],[2,4,6,9,11,12]]  => {{1,3,5,7,8,10},{2,4,6,9,11,12}}
[[1,3,5,7,8,9],[2,4,6,10,11,12]]  => {{1,3,5,7,8,9},{2,4,6,10,11,12}}
[[1,3,5,6,9,11],[2,4,7,8,10,12]]  => {{1,3,5,6,9,11},{2,4,7,8,10,12}}
[[1,3,5,6,9,10],[2,4,7,8,11,12]]  => {{1,3,5,6,9,10},{2,4,7,8,11,12}}
[[1,3,5,6,8,11],[2,4,7,9,10,12]]  => {{1,3,5,6,8,11},{2,4,7,9,10,12}}
[[1,3,5,6,8,10],[2,4,7,9,11,12]]  => {{1,3,5,6,8,10},{2,4,7,9,11,12}}
[[1,3,5,6,8,9],[2,4,7,10,11,12]]  => {{1,3,5,6,8,9},{2,4,7,10,11,12}}
[[1,3,5,6,7,11],[2,4,8,9,10,12]]  => {{1,3,5,6,7,11},{2,4,8,9,10,12}}
[[1,3,5,6,7,10],[2,4,8,9,11,12]]  => {{1,3,5,6,7,10},{2,4,8,9,11,12}}
[[1,3,5,6,7,9],[2,4,8,10,11,12]]  => {{1,3,5,6,7,9},{2,4,8,10,11,12}}
[[1,3,5,6,7,8],[2,4,9,10,11,12]]  => {{1,3,5,6,7,8},{2,4,9,10,11,12}}
[[1,3,4,7,9,11],[2,5,6,8,10,12]]  => {{1,3,4,7,9,11},{2,5,6,8,10,12}}
[[1,3,4,7,9,10],[2,5,6,8,11,12]]  => {{1,3,4,7,9,10},{2,5,6,8,11,12}}
[[1,3,4,7,8,11],[2,5,6,9,10,12]]  => {{1,3,4,7,8,11},{2,5,6,9,10,12}}
[[1,3,4,7,8,10],[2,5,6,9,11,12]]  => {{1,3,4,7,8,10},{2,5,6,9,11,12}}
[[1,3,4,7,8,9],[2,5,6,10,11,12]]  => {{1,3,4,7,8,9},{2,5,6,10,11,12}}
[[1,3,4,6,9,11],[2,5,7,8,10,12]]  => {{1,3,4,6,9,11},{2,5,7,8,10,12}}
[[1,3,4,6,9,10],[2,5,7,8,11,12]]  => {{1,3,4,6,9,10},{2,5,7,8,11,12}}
[[1,3,4,6,8,11],[2,5,7,9,10,12]]  => {{1,3,4,6,8,11},{2,5,7,9,10,12}}
[[1,3,4,6,8,10],[2,5,7,9,11,12]]  => {{1,3,4,6,8,10},{2,5,7,9,11,12}}
[[1,3,4,6,8,9],[2,5,7,10,11,12]]  => {{1,3,4,6,8,9},{2,5,7,10,11,12}}
[[1,3,4,6,7,11],[2,5,8,9,10,12]]  => {{1,3,4,6,7,11},{2,5,8,9,10,12}}
[[1,3,4,6,7,10],[2,5,8,9,11,12]]  => {{1,3,4,6,7,10},{2,5,8,9,11,12}}
[[1,3,4,6,7,9],[2,5,8,10,11,12]]  => {{1,3,4,6,7,9},{2,5,8,10,11,12}}
[[1,3,4,6,7,8],[2,5,9,10,11,12]]  => {{1,3,4,6,7,8},{2,5,9,10,11,12}}
[[1,3,4,5,9,11],[2,6,7,8,10,12]]  => {{1,3,4,5,9,11},{2,6,7,8,10,12}}
[[1,3,4,5,9,10],[2,6,7,8,11,12]]  => {{1,3,4,5,9,10},{2,6,7,8,11,12}}
[[1,3,4,5,8,11],[2,6,7,9,10,12]]  => {{1,3,4,5,8,11},{2,6,7,9,10,12}}
[[1,3,4,5,8,10],[2,6,7,9,11,12]]  => {{1,3,4,5,8,10},{2,6,7,9,11,12}}
[[1,3,4,5,8,9],[2,6,7,10,11,12]]  => {{1,3,4,5,8,9},{2,6,7,10,11,12}}
[[1,3,4,5,7,11],[2,6,8,9,10,12]]  => {{1,3,4,5,7,11},{2,6,8,9,10,12}}
[[1,3,4,5,7,10],[2,6,8,9,11,12]]  => {{1,3,4,5,7,10},{2,6,8,9,11,12}}
[[1,3,4,5,7,9],[2,6,8,10,11,12]]  => {{1,3,4,5,7,9},{2,6,8,10,11,12}}
[[1,3,4,5,7,8],[2,6,9,10,11,12]]  => {{1,3,4,5,7,8},{2,6,9,10,11,12}}
[[1,3,4,5,6,11],[2,7,8,9,10,12]]  => {{1,3,4,5,6,11},{2,7,8,9,10,12}}
[[1,3,4,5,6,10],[2,7,8,9,11,12]]  => {{1,3,4,5,6,10},{2,7,8,9,11,12}}
[[1,3,4,5,6,9],[2,7,8,10,11,12]]  => {{1,3,4,5,6,9},{2,7,8,10,11,12}}
[[1,3,4,5,6,8],[2,7,9,10,11,12]]  => {{1,3,4,5,6,8},{2,7,9,10,11,12}}
[[1,3,4,5,6,7],[2,8,9,10,11,12]]  => {{1,3,4,5,6,7},{2,8,9,10,11,12}}
[[1,2,5,7,9,11],[3,4,6,8,10,12]]  => {{1,2,5,7,9,11},{3,4,6,8,10,12}}

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Created: May 19, 2023 at 11:04 by Martin Rubey

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Last Updated: May 19, 2023 at 11:04 by Martin Rubey