************************************************************************
*    www.FindStat.org - The Combinatorial Statistic Finder             *
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------------------------------------------------------------------------
Map identifier: Mp00081

------------------------------------------------------------------------
Map name: reading word permutation

------------------------------------------------------------------------
Domain: Standard tableaux

------------------------------------------------------------------------
Codomain: Permutations

------------------------------------------------------------------------
Description: Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottom-most row in English notation.



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

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

def mapping(elt):
    return Permutation(elt.standardization().to_word())


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

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

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Created: Jan 26, 2020 at 12:32 by FindStatCrew

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Last Updated: Jan 26, 2020 at 12:32 by Martin Rubey