************************************************************************
*    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: Mp00240

------------------------------------------------------------------------
Map name: weak exceedance partition

------------------------------------------------------------------------
Domain: Permutations

------------------------------------------------------------------------
Codomain: Set partitions

------------------------------------------------------------------------
Description: The set partition induced by the weak exceedances of a permutation.

This is the coarsest set partition that contains all arcs $(i, \pi(i))$ with $i\leq\pi(i)$.

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

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

def mapping(pi):
    n = len(pi)
    arcs = [(i, pi(i)) for i in range(1, n+1) if i <= pi(i)]
    return SetPartitions().from_arcs(arcs, n)

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

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

-----------------------------------------------------------------------------
Created: Sep 24, 2021 at 23:19 by Martin Rubey

-----------------------------------------------------------------------------
Last Updated: Sep 24, 2021 at 23:19 by Martin Rubey