************************************************************************
*    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: Mp00243

------------------------------------------------------------------------
Map name: weak duplicate order

------------------------------------------------------------------------
Domain: Graphs

------------------------------------------------------------------------
Codomain: Posets

------------------------------------------------------------------------
Description: The weak duplicate order of the de-duplicate of a graph.

Let $G=(V, E)$ be a graph and let $N=\{ N_v | v\in V\}$ be the set of (distinct) neighbourhoods of $G$.

This map yields the poset obtained by ordering $N$ by reverse inclusion.

------------------------------------------------------------------------
References: [1]   Cook, I., D. Nested colorings of graphs [[MathSciNet:3337180]]

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

def mapping(G):
    G = G.relabel(inplace=False)
    V = set(tuple(sorted(G[v])) for v in G.vertices())
    return Poset([V, lambda a, b: set(b).issubset(a)])


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

([],1)                                                                                                            => ([],1)
([],2)                                                                                                            => ([],1)
([(0,1)],2)                                                                                                       => ([],2)
([],3)                                                                                                            => ([],1)
([(1,2)],3)                                                                                                       => ([(0,2),(1,2)],3)
([(0,2),(1,2)],3)                                                                                                 => ([],2)
([(0,1),(0,2),(1,2)],3)                                                                                           => ([],3)
([],4)                                                                                                            => ([],1)
([(2,3)],4)                                                                                                       => ([(0,2),(1,2)],3)
([(1,3),(2,3)],4)                                                                                                 => ([(0,2),(1,2)],3)
([(0,3),(1,3),(2,3)],4)                                                                                           => ([],2)
([(0,3),(1,2)],4)                                                                                                 => ([],4)
([(0,3),(1,2),(2,3)],4)                                                                                           => ([(0,3),(1,2)],4)
([(1,2),(1,3),(2,3)],4)                                                                                           => ([(0,3),(1,3),(2,3)],4)
([(0,3),(1,2),(1,3),(2,3)],4)                                                                                     => ([(1,3),(2,3)],4)
([(0,2),(0,3),(1,2),(1,3)],4)                                                                                     => ([],2)
([(0,2),(0,3),(1,2),(1,3),(2,3)],4)                                                                               => ([],3)
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)                                                                         => ([],4)
([],5)                                                                                                            => ([],1)
([(3,4)],5)                                                                                                       => ([(0,2),(1,2)],3)
([(2,4),(3,4)],5)                                                                                                 => ([(0,2),(1,2)],3)
([(1,4),(2,4),(3,4)],5)                                                                                           => ([(0,2),(1,2)],3)
([(0,4),(1,4),(2,4),(3,4)],5)                                                                                     => ([],2)
([(1,4),(2,3)],5)                                                                                                 => ([(0,4),(1,4),(2,4),(3,4)],5)
([(1,4),(2,3),(3,4)],5)                                                                                           => ([(0,3),(1,2),(2,4),(3,4)],5)
([(0,1),(2,4),(3,4)],5)                                                                                           => ([],4)
([(2,3),(2,4),(3,4)],5)                                                                                           => ([(0,3),(1,3),(2,3)],4)
([(0,4),(1,4),(2,3),(3,4)],5)                                                                                     => ([(0,3),(1,2)],4)
([(1,4),(2,3),(2,4),(3,4)],5)                                                                                     => ([(0,4),(1,3),(2,3),(3,4)],5)
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)                                                                               => ([(1,3),(2,3)],4)
([(1,3),(1,4),(2,3),(2,4)],5)                                                                                     => ([(0,2),(1,2)],3)
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)                                                                               => ([(0,3),(1,2)],4)
([(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                                                               => ([(0,3),(1,3),(2,3)],4)
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)                                                                               => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                                                         => ([(1,3),(2,3)],4)
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                                                         => ([],2)
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                                                   => ([],3)
([(0,4),(1,3),(2,3),(2,4)],5)                                                                                     => ([(2,3),(2,4)],5)
([(0,1),(2,3),(2,4),(3,4)],5)                                                                                     => ([],5)
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)                                                                               => ([(3,4)],5)
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)                                                                         => ([],5)
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)                                                                               => ([],5)
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)                                                                         => ([(1,4),(2,3)],5)
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)                                                                   => ([(1,4),(2,3)],5)
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)                                                                         => ([(0,4),(1,4),(2,3)],5)
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                                                         => ([(0,4),(1,4),(2,4),(3,4)],5)
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                                                   => ([(1,4),(2,4),(3,4)],5)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                                             => ([(2,4),(3,4)],5)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)                                                                   => ([(1,3),(2,3)],4)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)                                                             => ([],3)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                                       => ([],4)
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                                 => ([],5)
([],6)                                                                                                            => ([],1)
([(4,5)],6)                                                                                                       => ([(0,2),(1,2)],3)
([(3,5),(4,5)],6)                                                                                                 => ([(0,2),(1,2)],3)
([(2,5),(3,5),(4,5)],6)                                                                                           => ([(0,2),(1,2)],3)
([(1,5),(2,5),(3,5),(4,5)],6)                                                                                     => ([(0,2),(1,2)],3)
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)                                                                               => ([],2)
([(2,5),(3,4)],6)                                                                                                 => ([(0,4),(1,4),(2,4),(3,4)],5)
([(2,5),(3,4),(4,5)],6)                                                                                           => ([(0,3),(1,2),(2,4),(3,4)],5)
([(1,2),(3,5),(4,5)],6)                                                                                           => ([(0,4),(1,4),(2,4),(3,4)],5)
([(3,4),(3,5),(4,5)],6)                                                                                           => ([(0,3),(1,3),(2,3)],4)
([(1,5),(2,5),(3,4),(4,5)],6)                                                                                     => ([(0,3),(1,2),(2,4),(3,4)],5)
([(0,1),(2,5),(3,5),(4,5)],6)                                                                                     => ([],4)
([(2,5),(3,4),(3,5),(4,5)],6)                                                                                     => ([(0,4),(1,3),(2,3),(3,4)],5)
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)                                                                               => ([(0,3),(1,2)],4)
([(1,5),(2,5),(3,4),(3,5),(4,5)],6)                                                                               => ([(0,4),(1,3),(2,3),(3,4)],5)
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)                                                                         => ([(1,3),(2,3)],4)
([(2,4),(2,5),(3,4),(3,5)],6)                                                                                     => ([(0,2),(1,2)],3)
([(0,5),(1,5),(2,4),(3,4)],6)                                                                                     => ([],4)
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                                                               => ([(0,3),(1,2),(2,4),(3,4)],5)
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)                                                                               => ([(2,3),(2,4)],5)
([(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                                               => ([(0,3),(1,3),(2,3)],4)
([(1,5),(2,4),(3,4),(3,5),(4,5)],6)                                                                               => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)                                                                               => ([(0,3),(1,2)],4)
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                                                         => ([(0,3),(1,2)],4)
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                                         => ([(0,4),(1,3),(2,3),(3,4)],5)
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)                                                                         => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                                   => ([(1,3),(2,3)],4)
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                                                         => ([(0,2),(1,2)],3)
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                                                         => ([(2,3),(2,4)],5)
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                                                   => ([(0,3),(1,2)],4)
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                                   => ([(0,3),(1,3),(2,3)],4)
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                                   => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                             => ([(1,3),(2,3)],4)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                                             => ([],2)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                       => ([],3)
([(0,5),(1,4),(2,3)],6)                                                                                           => ([],6)
([(1,5),(2,4),(3,4),(3,5)],6)                                                                                     => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,1),(2,5),(3,4),(4,5)],6)                                                                                     => ([(2,5),(3,4)],6)
([(1,2),(3,4),(3,5),(4,5)],6)                                                                                     => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)                                                                               => ([(0,5),(1,5),(2,3),(2,4)],6)
([(1,4),(2,3),(2,5),(3,5),(4,5)],6)                                                                               => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,1),(2,5),(3,4),(3,5),(4,5)],6)                                                                               => ([(3,5),(4,5)],6)
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)                                                                         => ([(0,5),(1,5),(2,5),(3,4)],6)
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)                                                                         => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)                                                                   => ([(1,5),(2,5),(3,5),(4,5)],6)
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)                                                                               => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                                                         => ([(0,5),(1,4),(4,2),(5,3)],6)
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)                                                                         => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)                                                                         => ([(3,5),(4,5)],6)
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                                                                         => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)                                                                         => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)                                                                   => ([(0,5),(1,3),(2,4),(4,5)],6)
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                                   => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)                                                                   => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)                                                             => ([(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)                                                                               => ([(2,5),(3,4)],6)
([(0,1),(2,4),(2,5),(3,4),(3,5)],6)                                                                               => ([],4)
([(0,5),(1,5),(2,3),(2,4),(3,4)],6)                                                                               => ([],5)
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)                                                                         => ([(2,3),(2,4)],5)
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)                                                                         => ([(4,5)],6)
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)                                                                         => ([(2,5),(3,4),(3,5)],6)
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                                         => ([],5)
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)                                                                         => ([(3,4)],5)
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)                                                                   => ([(3,4)],5)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)                                                                   => ([(3,4)],5)
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)                                                                   => ([(3,5),(4,5)],6)
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                             => ([],5)
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                                         => ([(0,4),(1,4),(2,4),(3,4)],5)
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                                                                   => ([(0,4),(1,4),(2,3)],5)
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                                   => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                             => ([(1,4),(2,4),(3,4)],5)
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                                                   => ([],5)
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)                                                             => ([(1,4),(2,3)],5)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                             => ([(0,4),(1,4),(2,3)],5)
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                                                             => ([(0,5),(1,3),(2,4),(4,5)],6)
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                             => ([(1,4),(2,3)],5)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)                                                       => ([(1,4),(2,3)],5)
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                                                             => ([(0,5),(1,5),(2,3),(5,4)],6)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                             => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                             => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                       => ([(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                                                       => ([(1,3),(2,3)],4)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => ([(2,4),(3,4)],5)
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                                                   => ([(0,3),(1,2)],4)
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                                                                   => ([(0,4),(1,3),(2,3),(3,4)],5)
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                                                             => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                                                             => ([(0,3),(1,3),(2,3)],4)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                                                       => ([(1,3),(2,3)],4)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)                                                                         => ([],6)
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)                                                                   => ([(0,4),(0,5),(1,2),(1,3)],6)
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)                                                                   => ([(1,4),(1,5),(2,3),(2,5)],6)
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)                                                                   => ([],6)
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                                                                   => ([(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                                                   => ([(3,4),(4,5)],6)
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                             => ([(1,5),(2,3),(2,4)],6)
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                                                             => ([(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                                             => ([(4,5)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                                                       => ([(3,4),(3,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                                             => ([(0,3),(1,2)],4)
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                                             => ([(3,4)],5)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                                       => ([(1,4),(2,3)],5)
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                       => ([(0,4),(1,4),(2,3)],5)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => ([(1,4),(2,3)],5)
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                       => ([(0,4),(1,4),(2,3)],5)
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                       => ([(0,4),(1,4),(2,4),(3,4)],5)
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                       => ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => ([(1,4),(2,4),(3,4)],5)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)                                                       => ([(0,5),(1,3),(2,4),(2,5)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                                                       => ([(0,5),(1,4),(2,3)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => ([(2,4),(3,4)],5)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                                       => ([],2)
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => ([(1,3),(2,3)],4)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                                                 => ([(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                                           => ([],3)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                     => ([],4)
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)                                                                         => ([],6)
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)                                                                   => ([(3,4),(3,5)],6)
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)                                                                   => ([],6)
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                                   => ([],6)
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                                                             => ([(4,5)],6)
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                             => ([(4,5)],6)
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                       => ([],6)
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)                                                             => ([],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)                                                       => ([(4,5)],6)
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                       => ([(3,5),(4,5)],6)
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                       => ([(2,5),(3,4)],6)
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                       => ([(2,5),(3,4)],6)
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => ([(4,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                                 => ([],5)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => ([],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6)                                                             => ([(3,4),(3,5)],6)
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                                                             => ([],6)
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)                                                       => ([(4,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)                                                 => ([],6)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)                                                       => ([],6)
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => ([(2,5),(3,4)],6)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                                                 => ([(0,5),(1,4),(2,3)],6)
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => ([(2,5),(3,4)],6)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                     => ([(2,5),(3,4)],6)
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                                                 => ([(1,5),(2,5),(3,4)],6)
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => ([(0,5),(1,5),(2,4),(3,4)],6)
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => ([(1,5),(2,5),(3,4)],6)
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => ([(0,5),(1,5),(2,5),(3,4)],6)
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => ([(1,5),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                     => ([(2,5),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                               => ([(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                                           => ([(1,4),(2,3)],5)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                                           => ([(1,4),(2,4),(3,4)],5)
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => ([(0,5),(1,5),(2,4),(3,4)],6)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                                     => ([(2,4),(3,4)],5)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => ([],3)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                               => ([],4)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                         => ([],5)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                   => ([],6)
([],7)                                                                                                            => ([],1)
([(5,6)],7)                                                                                                       => ([(0,2),(1,2)],3)
([(4,6),(5,6)],7)                                                                                                 => ([(0,2),(1,2)],3)
([(3,6),(4,6),(5,6)],7)                                                                                           => ([(0,2),(1,2)],3)
([(2,6),(3,6),(4,6),(5,6)],7)                                                                                     => ([(0,2),(1,2)],3)
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                                                               => ([(0,2),(1,2)],3)
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                                                         => ([],2)
([(3,6),(4,5)],7)                                                                                                 => ([(0,4),(1,4),(2,4),(3,4)],5)
([(3,6),(4,5),(5,6)],7)                                                                                           => ([(0,3),(1,2),(2,4),(3,4)],5)
([(2,3),(4,6),(5,6)],7)                                                                                           => ([(0,4),(1,4),(2,4),(3,4)],5)
([(4,5),(4,6),(5,6)],7)                                                                                           => ([(0,3),(1,3),(2,3)],4)
([(2,6),(3,6),(4,5),(5,6)],7)                                                                                     => ([(0,3),(1,2),(2,4),(3,4)],5)
([(1,2),(3,6),(4,6),(5,6)],7)                                                                                     => ([(0,4),(1,4),(2,4),(3,4)],5)
([(3,6),(4,5),(4,6),(5,6)],7)                                                                                     => ([(0,4),(1,3),(2,3),(3,4)],5)
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                                                               => ([(0,3),(1,2),(2,4),(3,4)],5)
([(0,1),(2,6),(3,6),(4,6),(5,6)],7)                                                                               => ([],4)
([(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                                                               => ([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                                                         => ([(0,3),(1,2)],4)
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                                                         => ([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(1,3),(2,3)],4)
([(3,5),(3,6),(4,5),(4,6)],7)                                                                                     => ([(0,2),(1,2)],3)
([(1,6),(2,6),(3,5),(4,5)],7)                                                                                     => ([(0,4),(1,4),(2,4),(3,4)],5)
([(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                                                               => ([(0,3),(1,2),(2,4),(3,4)],5)
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                                                               => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)                                                                               => ([],4)
([(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                                               => ([(0,3),(1,3),(2,3)],4)
([(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                                               => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                                                               => ([(0,3),(1,2),(2,4),(3,4)],5)
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                                                         => ([(0,3),(1,2),(2,4),(3,4)],5)
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                                                         => ([(2,3),(2,4)],5)
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                                         => ([(0,4),(1,3),(2,3),(3,4)],5)
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                                         => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                                                         => ([(0,3),(1,2)],4)
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                                   => ([(0,3),(1,2)],4)
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(1,3),(2,3)],4)
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                                         => ([(0,2),(1,2)],3)
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                                                         => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)                                                                         => ([(2,3),(2,4)],5)
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                                   => ([(0,3),(1,2),(2,4),(3,4)],5)
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                                                   => ([(2,3),(2,4)],5)
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,3),(1,3),(2,3)],4)
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                             => ([(0,3),(1,2)],4)
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(1,3),(2,3)],4)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                             => ([(0,2),(1,2)],3)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                             => ([(2,3),(2,4)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([(0,3),(1,2)],4)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,3),(1,3),(2,3)],4)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(1,3),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([],2)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([],3)
([(1,6),(2,5),(3,4)],7)                                                                                           => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(2,6),(3,5),(4,5),(4,6)],7)                                                                                     => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(1,2),(3,6),(4,5),(5,6)],7)                                                                                     => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(1,2),(4,6),(5,6)],7)                                                                                     => ([],6)
([(2,3),(4,5),(4,6),(5,6)],7)                                                                                     => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(1,6),(2,5),(3,4),(4,6),(5,6)],7)                                                                               => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,1),(2,6),(3,6),(4,5),(5,6)],7)                                                                               => ([(2,5),(3,4)],6)
([(2,5),(3,4),(3,6),(4,6),(5,6)],7)                                                                               => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(1,2),(3,6),(4,5),(4,6),(5,6)],7)                                                                               => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)                                                                         => ([(0,5),(1,5),(2,3),(2,4)],6)
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                                         => ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                                                         => ([(3,5),(4,5)],6)
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                                         => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,5),(1,5),(2,5),(3,4)],6)
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                                   => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                             => ([(1,5),(2,5),(3,5),(4,5)],6)
([(2,5),(2,6),(3,4),(3,6),(4,5)],7)                                                                               => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                                                         => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7)                                                                         => ([(2,5),(3,4)],6)
([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                                         => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)                                                                         => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                                         => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7)                                                                         => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)                                                                   => ([(0,5),(1,4),(4,2),(5,3)],6)
([(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)                                                                   => ([(2,5),(3,4),(3,5)],6)
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,6),(5,6)],7)                                                                   => ([(3,5),(4,5)],6)
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                             => ([(0,5),(1,3),(2,4),(4,5)],6)
([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(1,4),(2,3),(3,5),(4,5)],6)
([(1,6),(2,5),(3,4),(3,5),(4,6)],7)                                                                               => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,2),(3,5),(3,6),(4,5),(4,6)],7)                                                                               => ([(0,4),(1,4),(2,4),(3,4)],5)
([(0,6),(1,5),(2,4),(3,4),(5,6)],7)                                                                               => ([(2,5),(3,4)],6)
([(1,6),(2,6),(3,4),(3,5),(4,5)],7)                                                                               => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)                                                                         => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7)                                                                         => ([(1,6),(2,5),(3,4),(3,6)],7)
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                                         => ([(2,5),(3,4)],6)
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)                                                                         => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)                                                                         => ([(3,5),(4,5)],6)
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)                                                                         => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                                         => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                                                         => ([(0,5),(1,5),(2,3),(2,4)],6)
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                                         => ([(2,6),(3,5),(4,5),(4,6)],7)
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)                                                                         => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,6),(2,3),(2,4),(3,6),(4,6),(5,6)],7)                                                                   => ([(0,5),(1,5),(2,3),(2,4)],6)
([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)                                                                   => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)                                                                   => ([(2,6),(3,6),(4,5),(4,6)],7)
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                                                   => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,6),(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(3,5),(4,5)],6)
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)                                                                   => ([(0,5),(1,5),(2,5),(3,4)],6)
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)                                                             => ([(0,5),(1,5),(2,5),(3,4)],6)
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                                             => ([(0,5),(1,5),(2,5),(3,4)],6)
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)                                                                         => ([],5)
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                                         => ([(0,4),(1,4),(2,4),(3,4)],5)
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)                                                                   => ([(3,4)],5)
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                             => ([(0,4),(1,4),(2,3)],5)
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(1,4),(2,4),(3,4)],5)
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                                                   => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6)],7)                                                                   => ([(2,6),(3,5),(4,5),(4,6)],7)
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                             => ([(0,5),(1,4),(4,2),(5,3)],6)
([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)                                                             => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)                                                             => ([(2,6),(3,4),(4,5),(4,6)],7)
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                                             => ([(3,5),(4,5)],6)
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,4),(0,6),(1,4),(1,5),(2,3),(3,5),(3,6)],7)
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                             => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)
([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)                                                       => ([(0,5),(1,3),(2,4),(4,5)],6)
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,5),(1,3),(2,4),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,5),(1,3),(2,4),(4,5)],6)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5)],7)                                                                   => ([(2,5),(3,4)],6)
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                                   => ([],4)
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)                                                                   => ([(4,5)],6)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6)],7)                                                             => ([(2,3),(2,4)],5)
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                             => ([(4,5)],6)
([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)                                                             => ([(2,5),(3,4),(3,5)],6)
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([],5)
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)                                                             => ([(3,5),(4,5)],6)
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([(3,4)],5)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([(3,4)],5)
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(3,5),(4,5)],6)
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([],5)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)                                                             => ([(3,4),(4,5)],6)
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                             => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)
([(0,6),(1,6),(2,3),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                             => ([(2,4),(2,5),(3,4),(3,5)],6)
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([(0,5),(1,5),(2,3),(5,4)],6)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                       => ([(0,5),(1,3),(2,4),(4,5)],6)
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([(0,3),(1,2)],4)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)                                                       => ([(3,4),(4,5)],6)
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)                                                 => ([(1,4),(2,3)],5)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,4),(1,4),(2,3)],5)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(1,3),(2,4),(4,5)],6)
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(1,4),(2,3)],5)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([(2,6),(3,6),(6,4),(6,5)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(0,5),(1,5),(2,3),(5,4)],6)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(1,3),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(2,4),(3,4)],5)
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                                                   => ([(0,3),(1,2),(2,4),(3,4)],5)
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                                   => ([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                                             => ([(0,3),(1,2)],4)
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                             => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)                                                             => ([(1,4),(1,5),(2,3),(2,5)],6)
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                             => ([(0,3),(1,3),(2,3)],4)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                 => ([(1,3),(2,3)],4)
([(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)                                                                         => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)                                                                   => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,6),(5,6)],7)                                                                   => ([(4,6),(5,6)],7)
([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,6),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)
([(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6),(5,6)],7)                                                                   => ([(1,6),(2,6),(3,5),(4,5)],7)
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                                   => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                                                   => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                                                   => ([(0,3),(1,6),(2,6),(3,4),(3,5)],7)
([(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5),(5,6)],7)                                                             => ([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)
([(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(2,6),(3,4),(3,5),(5,6)],7)
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)
([(0,6),(1,2),(1,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                             => ([(3,6),(4,6),(5,6)],7)
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                             => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                                             => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                                             => ([(0,6),(1,6),(2,6),(3,4),(4,5)],7)
([(0,6),(1,2),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,6),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                 => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7)                                                                         => ([],4)
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7)                                                                   => ([(2,5),(3,4)],6)
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)                                                                   => ([],5)
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(5,6)],7)                                                                   => ([(2,6),(3,6),(4,5)],7)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)                                                                   => ([(2,3),(2,4)],5)
([(0,4),(1,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)                                                                   => ([(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)                                                             => ([(2,3),(2,4)],5)
([(0,4),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(5,6)],7)                                                             => ([(4,5)],6)
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(2,5),(3,4),(3,5)],6)
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                                             => ([(3,4)],5)
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                                             => ([(2,6),(3,5),(4,5),(4,6)],7)
([(0,1),(0,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(3,4)],5)
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                       => ([(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                 => ([],5)
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                                             => ([(0,3),(1,2),(2,4),(3,4)],5)
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                                             => ([(0,5),(1,5),(2,3),(2,4)],6)
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                                             => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                                       => ([(0,5),(1,4),(4,2),(5,3)],6)
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([(2,5),(3,4),(3,5)],6)
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)                                                       => ([(2,6),(3,4),(3,5),(5,6)],7)
([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(0,5),(1,3),(2,4),(4,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(1,4),(2,3),(3,5),(4,5)],6)
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                                             => ([],6)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5)],7)                                                             => ([(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                                                             => ([(3,5),(4,5)],6)
([(0,1),(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)                                                       => ([(0,4),(0,5),(1,2),(1,3)],6)
([(0,5),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)                                                       => ([(3,4),(3,5),(5,6)],7)
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(5,6)],7)                                                       => ([(1,4),(1,5),(2,3),(2,5)],6)
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(5,6)],7)                                                       => ([],6)
([(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)                                                       => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7)
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)                                                       => ([(3,4),(3,5)],6)
([(0,1),(0,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([],6)
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([(2,5),(3,4),(3,5)],6)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(1,5),(2,3),(2,4)],6)
([(0,3),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)                                                 => ([(1,5),(2,3),(2,4)],6)
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(2,6),(3,4),(3,5),(5,6)],7)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                 => ([(2,5),(3,4),(3,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                                 => ([(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(3,4),(3,5)],6)
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                                       => ([(3,4)],5)
([(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,4),(1,4),(2,4),(3,4)],5)
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,4),(1,4),(2,3)],5)
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(1,4),(2,4),(3,4)],5)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7)                                                       => ([(3,4),(3,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(1,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(2,5),(2,6),(3,4),(3,5),(4,6)],7)
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)                                                       => ([(0,5),(1,5),(1,6),(2,3),(3,6),(5,4)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)                                                       => ([(3,6),(4,5),(5,6)],7)
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                       => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                                                       => ([],5)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                                       => ([(3,4),(4,5)],6)
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                                       => ([(0,5),(1,3),(2,4),(4,5)],6)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                       => ([(0,4),(1,4),(2,3)],5)
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)                                                 => ([(1,4),(2,3)],5)
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(1,3),(2,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(0,3),(1,2)],4)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,4),(1,4),(2,3)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,4),(2,3)],5)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(3,4),(4,5)],6)
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(0,5),(1,5),(2,3),(5,4)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(1,3),(2,4),(4,5)],6)
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,5),(2,4),(3,4),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6)],7)                                                 => ([(3,4),(3,5)],6)
([(0,4),(0,6),(1,4),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)                                           => ([(0,5),(1,3),(2,4),(2,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(1,3),(2,4),(2,5)],6)
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(1,4),(2,3)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(1,3),(2,3)],4)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(2,4),(3,4)],5)
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                                                       => ([(0,2),(1,2)],3)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                                                 => ([(0,3),(1,2)],4)
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,4),(1,3),(2,3),(3,4)],5)
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(0,4),(1,3),(2,3),(3,4)],5)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                 => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,4),(1,3),(2,3),(2,4)],5)
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                           => ([(0,3),(1,3),(2,3)],4)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                           => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(1,3),(2,3)],4)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                                                 => ([(0,4),(0,5),(1,2),(1,3)],6)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)                                                 => ([(3,4),(3,5)],6)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)                                                 => ([(1,4),(1,5),(2,3),(2,5)],6)
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)                                                 => ([(3,4),(3,5),(3,6)],7)
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(2,4),(2,5),(3,4),(3,5)],6)
([(0,6),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(2,6),(3,4),(3,6),(6,5)],7)
([(0,4),(0,5),(1,4),(1,5),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                 => ([(4,5)],6)
([(0,4),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)                                           => ([(1,5),(2,3),(2,4)],6)
([(0,5),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                           => ([(2,5),(3,4),(3,5)],6)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                           => ([(2,6),(3,4),(3,5),(3,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(3,4),(3,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(0,3),(1,2)],4)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)                                           => ([(3,4)],5)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)                                           => ([(3,4),(3,5)],6)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)                                     => ([(1,4),(2,3)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,4),(1,4),(2,3)],5)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                               => ([(1,4),(2,3)],5)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)                                     => ([(0,4),(1,4),(2,3)],5)
([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,4),(1,4),(2,4),(3,4)],5)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(1,4),(2,4),(3,4)],5)
([(0,5),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(0,5),(1,3),(2,4),(2,5)],6)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(2,4),(3,4)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                                     => ([],2)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)                               => ([(1,3),(2,3)],4)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                               => ([(1,3),(2,3)],4)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                         => ([],3)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([],4)
([(0,1),(2,5),(3,4),(4,6),(5,6)],7)                                                                               => ([(4,5),(4,6)],7)
([(0,3),(1,2),(4,5),(4,6),(5,6)],7)                                                                               => ([],7)
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)                                                                         => ([(3,4),(3,5),(3,6)],7)
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)                                                                         => ([(5,6)],7)
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)                                                                   => ([(4,5),(4,6)],7)
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                                   => ([],7)
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)                                                             => ([(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)                                                       => ([],7)
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)                                                                         => ([(3,6),(4,5)],7)
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                                                                         => ([],7)
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)                                                                         => ([(3,6),(4,5)],7)
([(0,6),(1,4),(2,3),(2,6),(3,5),(4,5),(5,6)],7)                                                                   => ([(1,5),(2,4),(2,6),(6,3)],7)
([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)                                                                   => ([(3,6),(4,5)],7)
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                                   => ([(3,6),(4,5)],7)
([(0,5),(1,2),(1,4),(2,3),(3,6),(4,6),(5,6)],7)                                                                   => ([(5,6)],7)
([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)                                                                   => ([(2,6),(3,6),(4,5)],7)
([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)                                                                   => ([(5,6)],7)
([(0,5),(1,4),(2,3),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(1,6),(2,5),(3,4),(3,5),(3,6)],7)
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,6),(5,6)],7)                                                             => ([(2,6),(3,4),(3,5)],7)
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)                                                             => ([(2,4),(3,5),(5,6)],7)
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)                                                             => ([(5,6)],7)
([(0,1),(0,5),(1,4),(2,3),(2,6),(3,6),(4,6),(5,6)],7)                                                             => ([],7)
([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(1,6),(2,5),(3,4),(3,6)],7)
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(3,6),(4,5)],7)
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(2,6),(3,5),(4,5),(4,6)],7)
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                       => ([(3,6),(4,5)],7)
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(1,6),(2,5),(3,4)],7)
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(2,6),(3,6),(4,5)],7)
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(3,6),(4,5)],7)
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)                                                                         => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(2,6),(3,6),(4,5)],7)
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)                                                                   => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)                                                                   => ([(4,6),(5,6)],7)
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                                   => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                             => ([(0,6),(1,6),(2,6),(3,4),(3,5)],7)
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)                                                             => ([(3,6),(4,6),(5,6)],7)
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                             => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6)],7)                                                             => ([],7)
([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                                       => ([(1,6),(2,6),(3,4),(4,5)],7)
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([(4,6),(5,6)],7)
([(0,1),(0,6),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)                                                       => ([(5,6)],7)
([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)
([(0,5),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)
([(0,3),(1,5),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(2,6),(3,4),(3,5)],7)
([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7)
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                       => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,5),(3,5),(4,5),(4,6),(5,6)],7)                                                       => ([(1,5),(1,6),(2,3),(2,4)],7)
([(0,4),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(2,6),(3,6),(4,5)],7)
([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,6),(1,6),(2,6),(3,4),(3,5)],7)
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,6),(1,5),(2,3),(2,4)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(1,6),(2,6),(3,4),(3,5)],7)
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                                                             => ([(1,6),(2,6),(3,5),(4,5)],7)
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)                                                             => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,6),(3,4),(4,5)],7)
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                                       => ([(3,6),(4,6),(5,6)],7)
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([(3,6),(4,6),(5,6)],7)
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)                                                 => ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)                                                             => ([],7)
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([(1,6),(2,6),(3,4),(3,5)],7)
([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)                                                       => ([(5,6)],7)
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([(4,6),(5,6)],7)
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(2,6),(3,6),(4,5),(4,6)],7)
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(4,6),(5,6)],7)
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(3,6),(4,5),(5,6)],7)
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)                                                       => ([],7)
([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(2,6),(3,6),(4,5)],7)
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(2,6),(3,6),(4,5)],7)
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(3,6),(4,5)],7)
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(3,6),(4,6),(5,6)],7)
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(4,6),(5,6)],7)
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(0,5),(1,5),(2,5),(3,4)],6)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(3,6),(4,6),(5,6)],7)
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(4,6),(5,6)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(1,6),(2,6),(3,6),(4,5)],7)
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,6),(2,5),(3,4)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(0,1),(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,6),(2,5),(3,4)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,6),(2,6),(3,6),(4,5)],7)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(4,6)],7)                                                                   => ([],7)
([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7)                                                             => ([(1,5),(2,4),(2,6),(6,3)],7)
([(0,3),(1,4),(1,5),(2,4),(2,6),(3,5),(4,6),(5,6)],7)                                                             => ([(3,6),(4,5)],7)
([(0,1),(0,3),(1,2),(2,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([],7)
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(4,6),(5,6)],7)                                                             => ([(3,6),(4,5)],7)
([(0,6),(1,2),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                             => ([(2,6),(3,6),(4,5)],7)
([(0,6),(1,2),(1,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)                                                             => ([(4,6),(5,6)],7)
([(0,3),(1,2),(1,5),(2,4),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([(1,6),(2,5),(3,4)],7)
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7)                                                             => ([(2,6),(3,4),(3,6),(4,5)],7)
([(0,6),(1,2),(1,6),(2,4),(3,4),(3,5),(4,5),(5,6)],7)                                                             => ([(4,6),(5,6)],7)
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                                       => ([(2,6),(3,4),(3,5)],7)
([(0,5),(1,2),(1,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([(1,6),(2,5),(3,4),(3,6)],7)
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([(3,6),(4,5)],7)
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(5,6)],7)
([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(4,5),(4,6),(5,6)],7)                                                       => ([(0,6),(1,5),(2,3),(2,4)],7)
([(0,5),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                       => ([(2,4),(3,5),(5,6)],7)
([(0,5),(1,3),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([(3,6),(4,5),(4,6)],7)
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([],7)
([(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([(2,6),(3,5),(4,5),(4,6)],7)
([(0,1),(0,6),(1,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(1,6),(2,5),(3,4)],7)
([(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(3,6),(4,5)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                                 => ([(2,6),(3,6),(4,5)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                           => ([(3,6),(4,5)],7)
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                                                             => ([(2,6),(3,6),(4,5)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5)],7)                                                             => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                             => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,6),(3,4),(3,5)],7)
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([(3,6),(4,6),(5,6)],7)
([(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                       => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                 => ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                 => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                           => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(5,6)],7)                                                 => ([(1,6),(2,5),(5,3),(6,4)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)                                                 => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)                                                 => ([(2,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,5),(2,3),(2,4),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(2,6),(3,4),(3,5)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5)],7)                                                 => ([(3,6),(4,5)],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)                                           => ([(0,5),(1,4),(2,6),(6,3)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
([(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,6),(2,5),(5,3),(6,4)],7)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                                                       => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7)                                                 => ([(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
([(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                                                       => ([(3,6),(4,5)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7)                                                       => ([],7)
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)                                                 => ([(1,6),(2,6),(3,4),(3,5)],7)
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6)],7)                                                 => ([(5,6)],7)
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(2,6),(3,6),(4,5)],7)
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(2,6),(3,6),(4,5)],7)
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                           => ([(3,6),(4,5)],7)
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(5,6)],7)                                                 => ([(3,6),(4,5),(5,6)],7)
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(0,6),(1,6),(2,3),(3,5),(6,4)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)
([(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,5),(2,5),(3,4),(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(3,4),(3,6),(4,6),(5,6)],7)                                                 => ([(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7)
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(1,6),(2,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)
([(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,6),(1,6),(2,5),(3,4)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(1,6),(2,4),(3,5),(5,6)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,5),(1,4),(2,6),(6,3)],7)
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)
([(0,5),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(1,6),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                               => ([(1,4),(2,3),(3,5),(4,5)],6)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(2,5),(3,4),(4,6),(5,6)],7)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                                                             => ([(2,3),(2,4)],5)
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)                                                             => ([(4,5)],6)
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                             => ([(3,5),(4,5)],6)
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                                       => ([(3,4)],5)
([(0,2),(1,4),(1,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([(2,5),(3,4),(3,5)],6)
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)                                                       => ([(3,6),(4,5)],7)
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([],5)
([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(3,5),(4,5)],6)
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                                 => ([(3,4)],5)
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                           => ([],5)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                                                       => ([(2,3),(2,4)],5)
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([(3,5),(4,5)],6)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7)                                                       => ([(2,6),(3,6),(4,5)],7)
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                                       => ([(4,5)],6)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                                                       => ([],6)
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                                                 => ([(3,4),(4,5)],6)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)                                                 => ([(3,4),(4,5)],6)
([(0,3),(0,5),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)                                                 => ([(5,6)],7)
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([],6)
([(0,4),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(2,4),(2,5),(3,4),(3,5)],6)
([(0,1),(0,6),(1,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(2,6),(3,4),(3,5)],7)
([(0,1),(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(1,4),(1,5),(2,3),(2,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)                                           => ([(4,5)],6)
([(0,2),(0,3),(1,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(2,5),(3,4),(3,5)],6)
([(0,4),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(2,5),(3,4),(3,5)],6)
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(1,6),(2,6),(3,4),(3,5)],7)
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(1,5),(2,3),(2,4)],6)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(3,4),(3,5)],6)
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                                       => ([(3,6),(4,5)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                                                       => ([(4,6),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                                                       => ([],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6)],7)                                                       => ([(4,6),(5,6)],7)
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)                                                 => ([(2,6),(3,4),(3,5)],7)
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(4,6),(5,6)],7)                                                 => ([(5,6)],7)
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(5,6)],7)                                                 => ([],7)
([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(5,6)],7)
([(0,1),(0,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(3,6),(4,5)],7)
([(0,1),(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(3,6),(4,5)],7)
([(0,3),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(3,6),(4,5)],7)
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                           => ([(4,6),(5,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                           => ([(5,6)],7)
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(5,6)],7)                                                 => ([(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)                                                 => ([(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                                 => ([],7)
([(0,5),(0,6),(1,2),(1,5),(2,3),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(5,6)],7)
([(0,4),(1,3),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7)
([(0,4),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)                                                 => ([(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(4,5),(4,6)],7)
([(0,1),(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7)
([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(2,5),(2,6),(3,4),(3,6)],7)
([(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(2,5),(3,4),(3,6),(5,6)],7)
([(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(1,6),(2,5),(2,6),(3,4),(3,6)],7)
([(0,1),(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(1,5),(1,6),(2,3),(2,4)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)                                           => ([(3,6),(4,5)],7)
([(0,3),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                           => ([(1,6),(2,5),(3,4),(3,6)],7)
([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(2,6),(3,5),(4,5),(4,6)],7)
([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(2,6),(3,4),(3,5)],7)
([(0,1),(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(1,6),(2,5),(3,4),(3,6)],7)
([(0,4),(0,6),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(3,6),(4,5),(4,6)],7)
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                                 => ([],6)
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(3,4),(3,5)],6)
([(0,1),(0,5),(1,5),(2,3),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(5,6)],7)
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(3,6),(4,5),(4,6)],7)
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([],6)
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(4,5)],6)
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(4,5)],6)
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(4,5)],6)
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(4,6),(5,6)],7)
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6)],7)                                                 => ([],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)                                                 => ([],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)                                                 => ([(3,6),(4,5),(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(1,5),(2,3),(2,4)],6)
([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)                                                 => ([(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                 => ([(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)                                           => ([(4,5)],6)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)                                           => ([(2,5),(3,4)],6)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(2,5),(3,4)],6)
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(3,6),(4,5),(5,6)],7)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(4,5)],6)
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(3,4)],5)
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(4,5)],6)
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(3,5),(4,5)],6)
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(4,5)],6)
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)                                     => ([(4,5)],6)
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(2,5),(3,4)],6)
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(2,6),(3,6),(4,5)],7)
([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(2,5),(3,4)],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(4,5)],6)
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)                                           => ([(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)                                     => ([(3,6),(4,5)],7)
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)                                     => ([(2,6),(3,6),(4,5)],7)
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(3,6),(4,6),(5,6)],7)
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(3,6),(4,5)],7)
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(4,6),(5,6)],7)
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                               => ([],5)
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([],6)
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)                                                                   => ([],5)
([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)                                                             => ([(3,6),(4,5)],7)
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([],6)
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7)                                                             => ([(4,6),(5,6)],7)
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                             => ([],6)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)                                                             => ([(3,4),(3,5)],6)
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                                       => ([(3,4),(3,5)],6)
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([(5,6)],7)
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                                       => ([],6)
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                       => ([(3,6),(4,5),(4,6)],7)
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                       => ([(4,5)],6)
([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(4,5)],6)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(4,5)],6)
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                 => ([(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                           => ([],6)
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(1,5),(2,5),(3,4)],6)
([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(1,5),(2,5),(3,4)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,5),(1,5),(2,4),(3,4)],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                     => ([(0,5),(1,4),(2,3)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,6),(1,5),(2,5),(3,4),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(1,5),(2,5),(3,4)],6)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(0,6),(1,6),(2,6),(3,4),(6,5)],7)
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                               => ([(1,4),(2,4),(3,4)],5)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(2,5),(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7)                                           => ([(1,4),(2,3)],5)
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(1,5),(2,3),(5,4)],6)
([(0,4),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)                                           => ([(3,4),(3,5)],6)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                           => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                           => ([(3,4)],5)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(0,4),(1,4),(2,3)],5)
([(0,5),(0,6),(1,3),(1,4),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(0,5),(1,3),(2,4),(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,5),(1,3),(2,4),(2,5)],6)
([(0,5),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,4),(1,4),(2,3)],5)
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(0,5),(1,3),(2,4),(4,5)],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                     => ([(1,4),(2,3)],5)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(1,4),(2,3)],5)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                                                 => ([],5)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)                                           => ([(3,4),(3,5)],6)
([(0,3),(0,4),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(4,5),(4,6),(5,6)],7)                                           => ([],6)
([(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)                                           => ([(3,6),(4,5),(4,6)],7)
([(0,1),(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([],6)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6)],7)                                           => ([(4,5)],6)
([(0,1),(0,3),(0,4),(1,2),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(4,5)],6)
([(0,3),(0,5),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                     => ([(4,5)],6)
([(0,4),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(4,6),(5,6)],7)
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                               => ([],6)
([(0,1),(0,4),(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)                                     => ([],6)
([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                               => ([(2,5),(3,4)],6)
([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(1,5),(2,5),(3,4)],6)
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => ([(2,5),(3,4)],6)
([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(2,5),(3,4)],6)
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                               => ([(0,5),(1,4),(2,3)],6)
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,5),(1,5),(2,5),(3,4)],6)
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                               => ([(1,5),(2,5),(3,4)],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(1,5),(2,5),(3,4)],6)
([(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,5),(1,4),(2,6),(6,3)],7)
([(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)                               => ([(1,6),(2,4),(3,5),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(1,6),(2,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,6),(1,6),(2,5),(3,4)],7)
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(2,5),(3,4)],6)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(2,5),(3,4)],6)
([(0,4),(0,5),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)                                           => ([(1,6),(2,4),(2,5),(6,3)],7)
([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(4,5),(5,6)],7)
([(0,3),(0,6),(1,3),(1,5),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)                                           => ([(4,5),(4,6)],7)
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(5,6)],7)                                           => ([(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)                                           => ([(4,5),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                           => ([(2,5),(3,4),(3,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,4),(4,5),(4,6),(5,6)],7)                                           => ([(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                           => ([(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(2,5),(2,6),(3,4),(3,6)],7)
([(0,4),(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(5,6)],7)
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(3,6),(4,6),(6,5)],7)
([(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(5,6)],7)                                           => ([(3,6),(4,5),(5,6)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(4,5),(5,6)],7)
([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)                                     => ([(2,4),(3,5),(5,6)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(2,4),(3,5),(5,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(2,4),(3,5),(5,6)],7)
([(0,5),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(3,6),(4,5),(5,6)],7)
([(0,4),(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(3,6),(4,5)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                               => ([(4,5),(5,6)],7)
([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                           => ([(3,5),(4,5)],6)
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(0,5),(1,3),(2,4),(4,5)],6)
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                               => ([(1,5),(2,4),(3,4),(4,5)],6)
([(0,6),(1,2),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(2,5),(3,4),(3,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                           => ([],7)
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                           => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(2,6),(3,4),(3,5)],7)
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                               => ([(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)                               => ([(1,6),(2,6),(3,4),(6,5)],7)
([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,6),(1,6),(2,5),(3,5),(6,4)],7)
([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)                               => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                         => ([(1,6),(2,6),(3,4),(6,5)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)                               => ([(0,6),(1,5),(2,5),(3,4),(5,6)],7)
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(2,6),(3,5),(4,5),(5,6)],7)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)                         => ([(0,5),(1,5),(2,4),(3,4)],6)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                         => ([(1,4),(2,3)],5)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                         => ([(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                   => ([(2,4),(3,4)],5)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)             => ([(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => ([(0,5),(1,3),(2,4),(2,5)],6)
([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,5),(1,4),(2,3)],6)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(0,3),(1,3),(2,3)],4)
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                               => ([(0,4),(1,4),(2,3)],5)
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,4),(1,4),(2,4),(3,4)],5)
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(1,4),(2,4),(3,4)],5)
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => ([(1,3),(2,3)],4)
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(2,4),(3,4)],5)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                                                       => ([(3,4),(3,5),(3,6)],7)
([(0,2),(0,6),(1,2),(1,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                                       => ([],7)
([(0,4),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5)],7)                                                       => ([(5,6)],7)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)                                                 => ([(4,5),(4,6)],7)
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                                 => ([],7)
([(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                 => ([(4,5),(4,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                           => ([(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                     => ([],7)
([(0,4),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(5,6)],7)                                           => ([(1,6),(2,4),(2,5),(6,3)],7)
([(0,3),(0,4),(1,2),(1,3),(1,5),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(4,5),(4,6)],7)
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                           => ([],7)
([(0,3),(0,6),(1,2),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(1,5),(1,6),(2,3),(2,4)],7)
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                           => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)
([(0,2),(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(2,6),(3,4),(3,5)],7)
([(0,3),(0,5),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(1,5),(1,6),(2,3),(2,4)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(5,6)],7)                                           => ([],7)
([(0,3),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(2,5),(2,6),(3,4),(3,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(2,6),(3,4),(3,5)],7)
([(0,4),(0,6),(1,2),(1,5),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7)
([(0,3),(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                     => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7)
([(0,5),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,6),(2,5),(2,6),(3,4),(3,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(2,5),(2,6),(3,4),(3,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,5),(4,5),(4,6)],7)                                                 => ([(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5)],7)                                                 => ([],7)
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,6),(3,6),(4,6),(5,6)],7)                                           => ([],7)
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7)                                           => ([],7)
([(0,4),(0,6),(1,2),(1,3),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                           => ([],7)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(5,6)],7)                                           => ([(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                           => ([(4,5),(4,6)],7)
([(0,1),(0,4),(0,6),(1,2),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(5,6)],7)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(5,6)],7)
([(0,3),(0,5),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(5,6)],7)
([(0,1),(0,2),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([],7)
([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                               => ([(2,6),(3,4),(3,5)],7)
([(0,2),(0,4),(1,3),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(1,6),(2,6),(3,4),(3,5)],7)
([(0,3),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,6),(1,5),(2,3),(2,4)],7)
([(0,2),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(1,6),(2,5),(3,4),(3,6)],7)
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(1,6),(2,5),(3,4),(3,6)],7)
([(0,1),(0,2),(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(3,6),(4,5)],7)
([(0,1),(0,5),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(2,6),(3,4),(3,5)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => ([(2,6),(3,4),(3,5)],7)
([(0,4),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(2,6),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(2,6),(3,5),(4,5),(4,6)],7)
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                     => ([],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(4,5)],6)
([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => ([(5,6)],7)
([(0,4),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(3,6),(4,5)],7)
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(5,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => ([(3,4),(3,5)],6)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(4,5),(4,6)],7)
([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(1,4),(2,3)],5)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(0,5),(1,5),(2,3),(5,4)],6)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(0,5),(1,3),(2,4),(2,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                               => ([(0,4),(1,4),(2,3)],5)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                         => ([(1,4),(2,3)],5)
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(1,5),(2,3),(2,4)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(4,5)],6)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                     => ([(2,5),(3,4),(3,5)],6)
([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(4,5)],6)
([(0,2),(0,6),(1,2),(1,4),(1,5),(2,3),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)                                     => ([(3,6),(4,6),(6,5)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)                                     => ([(4,5)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(2,5),(3,4)],6)
([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                               => ([(2,5),(3,4)],6)
([(0,5),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(3,5),(4,5)],6)
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                               => ([(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(4,5)],6)
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => ([(4,5)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)                         => ([(2,5),(3,4)],6)
([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(1,5),(2,5),(3,4)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                   => ([(2,5),(3,4)],6)
([(0,3),(0,4),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(0,5),(1,4),(2,3)],6)
([(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(0,5),(1,5),(2,5),(3,4)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(1,5),(2,5),(3,4)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)             => ([(2,5),(3,4)],6)
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)                         => ([(1,5),(2,5),(3,4)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(0,5),(1,5),(2,4),(3,4)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(0,5),(1,4),(2,3)],6)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(1,5),(2,5),(3,4)],6)
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(0,5),(1,5),(2,5),(3,4)],6)
([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(1,5),(2,5),(3,5),(4,5)],6)
([(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                         => ([(0,6),(1,6),(2,5),(3,4),(3,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                         => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(1,6),(2,6),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)             => ([(2,5),(3,5),(4,5)],6)
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(1,5),(1,6),(2,3),(2,4)],7)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                     => ([],7)
([(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(2,5),(2,6),(3,4),(3,6)],7)
([(0,1),(0,2),(0,5),(1,4),(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([],7)
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)                                     => ([(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)                                     => ([(4,5),(5,6)],7)
([(0,1),(0,2),(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(2,6),(3,4),(3,5)],7)
([(0,1),(0,4),(0,6),(1,3),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(2,6),(3,4),(3,5)],7)
([(0,4),(0,5),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                               => ([(3,6),(4,5),(4,6)],7)
([(0,3),(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(5,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                         => ([(4,5),(4,6)],7)
([(0,3),(0,4),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)                         => ([(1,6),(2,5),(3,4),(3,6)],7)
([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                         => ([(0,6),(1,5),(2,3),(2,4)],7)
([(0,4),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(1,6),(2,5),(3,4),(3,6)],7)
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(1,6),(2,5),(3,4)],7)
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(0,6),(1,6),(2,5),(3,4)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(1,6),(2,5),(3,4)],7)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)             => ([(2,6),(3,5),(4,5),(4,6)],7)
([(0,3),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)                   => ([(0,5),(1,5),(2,4),(3,4)],6)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                   => ([(1,4),(2,3)],5)
([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                   => ([(1,4),(2,4),(3,4)],5)
([(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                   => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)             => ([(2,4),(3,4)],5)
([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)       => ([(3,5),(4,5)],6)
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => ([(1,3),(2,3)],4)
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => ([(1,4),(2,3)],5)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)                         => ([(1,3),(2,3)],4)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)                   => ([],3)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => ([],5)
([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(1,4),(2,3)],5)
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(1,4),(2,4),(3,4)],5)
([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)             => ([(2,4),(3,4)],5)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => ([],3)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)       => ([],4)
([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => ([],5)
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7)                                                       => ([(5,6)],7)
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                                       => ([],7)
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                                 => ([(4,5),(4,6)],7)
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                                 => ([],7)
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([],7)
([(0,1),(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                           => ([],7)
([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(2,5),(2,6),(3,4),(3,6)],7)
([(0,3),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(5,6)],7)
([(0,4),(0,5),(1,2),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(3,6),(4,5),(4,6)],7)
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(3,6),(4,5),(4,6)],7)
([(0,3),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(2,6),(3,4),(3,5)],7)
([(0,1),(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(2,6),(3,4),(3,5)],7)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(4,5),(4,6)],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7)                                                 => ([],7)
([(0,4),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)                                           => ([(4,5),(4,6)],7)
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)                                           => ([],7)
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([],7)
([(0,3),(0,6),(1,2),(1,5),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(4,5),(4,6)],7)
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                                           => ([],7)
([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(5,6)],7)
([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(5,6)],7)
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                               => ([],7)
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([(4,5),(4,6)],7)
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                           => ([],7)
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(5,6)],7)
([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(5,6)],7)
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([],7)
([(0,1),(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                               => ([(5,6)],7)
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(4,6),(5,6)],7)
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(3,6),(4,5)],7)
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                               => ([(3,6),(4,5)],7)
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(5,6)],7)
([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                               => ([(5,6)],7)
([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(4,6),(5,6)],7)
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(3,6),(4,5)],7)
([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(5,6)],7)
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                         => ([],6)
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([],7)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7)                                     => ([(4,5),(4,6)],7)
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)                                     => ([(4,5),(4,6)],7)
([(0,1),(0,2),(0,6),(1,2),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([],7)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)                                     => ([(4,5),(4,6)],7)
([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(5,6)],7)
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)                         => ([],7)
([(0,1),(0,3),(0,4),(1,2),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([(4,5),(4,6)],7)
([(0,1),(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([],7)
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                                     => ([],7)
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(4,5),(4,6)],7)
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([],7)
([(0,1),(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)                                     => ([],7)
([(0,1),(0,2),(0,6),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(5,6)],7)
([(0,1),(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                               => ([(5,6)],7)
([(0,1),(0,4),(0,6),(1,3),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                               => ([(5,6)],7)
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)                         => ([],7)
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)                               => ([],7)
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => ([],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)                         => ([(5,6)],7)
([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(5,6)],7)
([(0,4),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)                         => ([(3,6),(4,5)],7)
([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(3,6),(4,6),(5,6)],7)
([(0,3),(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(2,6),(3,6),(4,5)],7)
([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(2,6),(3,6),(4,5)],7)
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(4,6),(5,6)],7)
([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(3,6),(4,5)],7)
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(3,6),(4,5)],7)
([(0,1),(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(5,6)],7)                         => ([(3,6),(4,5)],7)
([(0,1),(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                         => ([(1,6),(2,5),(3,4)],7)
([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(3,6),(4,5)],7)
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)             => ([(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)                   => ([(4,6),(5,6)],7)
([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)                   => ([(4,5)],6)
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)             => ([],6)

-----------------------------------------------------------------------------
Created: Dec 27, 2021 at 19:49 by Martin Rubey

-----------------------------------------------------------------------------
Last Updated: Dec 27, 2021 at 19:49 by Martin Rubey