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*    www.FindStat.org - The Combinatorial Statistic Finder             *
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*    Copyright (C) 2013 The FindStatCrew <info@findstat.org>           *
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************************************************************************

------------------------------------------------------------------------
Map identifier: Mp00080

------------------------------------------------------------------------
Map name: to permutation

------------------------------------------------------------------------
Domain: Set partitions

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

------------------------------------------------------------------------
Description: Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.

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

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

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

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

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

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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