************************************************************************
*    www.FindStat.org - The Combinatorial Statistic Finder             *
*                                                                      *
*    Copyright (C) 2013 The FindStatCrew <info@findstat.org>           *
*                                                                      *
*    This information is distributed in the hope that it will be       *
*    useful, but WITHOUT ANY WARRANTY; without even the implied        *
*    warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  *
************************************************************************

------------------------------------------------------------------------
Map identifier: Mp00287

------------------------------------------------------------------------
Map name: to composition

------------------------------------------------------------------------
Domain: Ordered set partitions

------------------------------------------------------------------------
Codomain: Integer compositions

------------------------------------------------------------------------
Description: Return the sizes of the blocks as a composition.

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

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

def mapping(pi):
    return Composition([len(b) for b in pi])

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

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

-----------------------------------------------------------------------------
Created: May 24, 2023 at 17:07 by Martin Rubey

-----------------------------------------------------------------------------
Last Updated: May 24, 2023 at 17:07 by Martin Rubey