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------------------------------------------------------------------------
Map identifier: Mp00198

------------------------------------------------------------------------
Map name: incomparability graph

------------------------------------------------------------------------
Domain: Posets

------------------------------------------------------------------------
Codomain: Graphs

------------------------------------------------------------------------
Description: The incomparability graph of a poset.



------------------------------------------------------------------------
References: [1]   [[wikipedia:Comparability_graph]]

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

def mapping(P):
    return P.incomparability_graph().copy(immutable=True)

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

([],1)                                                                        => ([],1)
([],2)                                                                        => ([(0,1)],2)
([(0,1)],2)                                                                   => ([],2)
([],3)                                                                        => ([(0,1),(0,2),(1,2)],3)
([(1,2)],3)                                                                   => ([(0,2),(1,2)],3)
([(0,1),(0,2)],3)                                                             => ([(1,2)],3)
([(0,2),(2,1)],3)                                                             => ([],3)
([(0,2),(1,2)],3)                                                             => ([(1,2)],3)
([],4)                                                                        => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)
([(2,3)],4)                                                                   => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
([(1,2),(1,3)],4)                                                             => ([(0,3),(1,2),(1,3),(2,3)],4)
([(0,1),(0,2),(0,3)],4)                                                       => ([(1,2),(1,3),(2,3)],4)
([(0,2),(0,3),(3,1)],4)                                                       => ([(1,3),(2,3)],4)
([(0,1),(0,2),(1,3),(2,3)],4)                                                 => ([(2,3)],4)
([(1,2),(2,3)],4)                                                             => ([(0,3),(1,3),(2,3)],4)
([(0,3),(3,1),(3,2)],4)                                                       => ([(2,3)],4)
([(1,3),(2,3)],4)                                                             => ([(0,3),(1,2),(1,3),(2,3)],4)
([(0,3),(1,3),(3,2)],4)                                                       => ([(2,3)],4)
([(0,3),(1,3),(2,3)],4)                                                       => ([(1,2),(1,3),(2,3)],4)
([(0,3),(1,2)],4)                                                             => ([(0,2),(0,3),(1,2),(1,3)],4)
([(0,3),(1,2),(1,3)],4)                                                       => ([(0,3),(1,2),(2,3)],4)
([(0,2),(0,3),(1,2),(1,3)],4)                                                 => ([(0,3),(1,2)],4)
([(0,3),(2,1),(3,2)],4)                                                       => ([],4)
([(0,3),(1,2),(2,3)],4)                                                       => ([(1,3),(2,3)],4)
([],5)                                                                        => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
([(3,4)],5)                                                                   => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
([(2,3),(2,4)],5)                                                             => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
([(1,2),(1,3),(1,4)],5)                                                       => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
([(0,1),(0,2),(0,3),(0,4)],5)                                                 => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
([(0,2),(0,3),(0,4),(4,1)],5)                                                 => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)                                           => ([(1,4),(2,3),(2,4),(3,4)],5)
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)                                     => ([(2,3),(2,4),(3,4)],5)
([(1,3),(1,4),(4,2)],5)                                                       => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
([(0,3),(0,4),(4,1),(4,2)],5)                                                 => ([(1,4),(2,3),(2,4),(3,4)],5)
([(1,2),(1,3),(2,4),(3,4)],5)                                                 => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)                                           => ([(3,4)],5)
([(0,3),(0,4),(3,2),(4,1)],5)                                                 => ([(1,3),(1,4),(2,3),(2,4)],5)
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)                                           => ([(1,4),(2,3),(3,4)],5)
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)                                     => ([(1,4),(2,3)],5)
([(2,3),(3,4)],5)                                                             => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
([(1,4),(4,2),(4,3)],5)                                                       => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
([(0,4),(4,1),(4,2),(4,3)],5)                                                 => ([(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),(3,4)],5)
([(1,4),(2,4),(4,3)],5)                                                       => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
([(0,4),(1,4),(4,2),(4,3)],5)                                                 => ([(1,4),(2,3)],5)
([(1,4),(2,4),(3,4)],5)                                                       => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
([(0,4),(1,4),(2,4),(4,3)],5)                                                 => ([(2,3),(2,4),(3,4)],5)
([(0,4),(1,4),(2,4),(3,4)],5)                                                 => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
([(0,4),(1,4),(2,3)],5)                                                       => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
([(0,4),(1,3),(2,3),(2,4)],5)                                                 => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                           => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                     => ([(0,1),(2,3),(2,4),(3,4)],5)
([(0,4),(1,4),(2,3),(4,2)],5)                                                 => ([(3,4)],5)
([(0,4),(1,3),(2,3),(3,4)],5)                                                 => ([(1,4),(2,3),(2,4),(3,4)],5)
([(0,4),(1,4),(2,3),(2,4)],5)                                                 => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
([(0,4),(1,4),(2,3),(3,4)],5)                                                 => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
([(1,4),(2,3)],5)                                                             => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
([(1,4),(2,3),(2,4)],5)                                                       => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
([(0,4),(1,2),(1,4),(2,3)],5)                                                 => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)                                           => ([(1,4),(2,3),(3,4)],5)
([(1,3),(1,4),(2,3),(2,4)],5)                                                 => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)                                           => ([(0,1),(2,4),(3,4)],5)
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)                                     => ([(1,4),(2,3)],5)
([(0,4),(1,2),(1,4),(4,3)],5)                                                 => ([(0,4),(1,4),(2,3),(3,4)],5)
([(0,4),(1,2),(1,3)],5)                                                       => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
([(0,4),(1,2),(1,3),(1,4)],5)                                                 => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
([(0,2),(0,4),(3,1),(4,3)],5)                                                 => ([(1,4),(2,4),(3,4)],5)
([(0,4),(1,2),(1,3),(3,4)],5)                                                 => ([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)                                           => ([(2,4),(3,4)],5)
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)                                           => ([(1,4),(2,3),(2,4),(3,4)],5)
([(0,3),(0,4),(1,2),(1,4)],5)                                                 => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                           => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                     => ([(0,1),(2,3),(2,4),(3,4)],5)
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)                                           => ([(0,4),(1,3),(2,3),(2,4)],5)
([(0,3),(1,2),(1,4),(3,4)],5)                                                 => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)                                           => ([(0,1),(2,4),(3,4)],5)
([(1,4),(3,2),(4,3)],5)                                                       => ([(0,4),(1,4),(2,4),(3,4)],5)
([(0,3),(3,4),(4,1),(4,2)],5)                                                 => ([(3,4)],5)
([(1,4),(2,3),(3,4)],5)                                                       => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
([(0,4),(1,2),(2,4),(4,3)],5)                                                 => ([(2,4),(3,4)],5)
([(0,3),(1,4),(4,2)],5)                                                       => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
([(0,4),(3,2),(4,1),(4,3)],5)                                                 => ([(2,4),(3,4)],5)
([(0,4),(1,2),(2,3),(2,4)],5)                                                 => ([(0,4),(1,4),(2,3),(3,4)],5)
([(0,4),(2,3),(3,1),(4,2)],5)                                                 => ([],5)
([(0,3),(1,2),(2,4),(3,4)],5)                                                 => ([(1,3),(1,4),(2,3),(2,4)],5)
([(0,4),(1,2),(2,3),(3,4)],5)                                                 => ([(1,4),(2,4),(3,4)],5)
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)                                           => ([(3,4)],5)
([],6)                                                                        => ([(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)
([(4,5)],6)                                                                   => ([(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)
([(3,4),(3,5)],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)
([(2,3),(2,4),(2,5)],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)
([(1,2),(1,3),(1,4),(1,5)],6)                                                 => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)                                           => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)                                           => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)                                     => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)                               => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)                         => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,3),(1,4),(1,5),(5,2)],6)                                                 => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)                                           => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                           => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                                     => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)                               => ([(3,4),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)                                     => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)                               => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                   => ([(1,2),(3,4),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)                               => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)                               => ([(2,5),(3,4),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)                                     => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)                                           => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)                                     => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)                               => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
([(2,3),(2,4),(4,5)],6)                                                       => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,4),(1,5),(5,2),(5,3)],6)                                                 => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)                                           => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(2,3),(2,4),(3,5),(4,5)],6)                                                 => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                           => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)                                     => ([(2,5),(3,4)],6)
([(1,4),(1,5),(4,3),(5,2)],6)                                                 => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)                               => ([(1,2),(3,5),(4,5)],6)
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => ([(2,5),(3,4)],6)
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)                                     => ([(1,5),(2,5),(3,4),(4,5)],6)
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)                                           => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)                                     => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)                                     => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)                               => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => ([(1,2),(3,4),(3,5),(4,5)],6)
([(3,4),(4,5)],6)                                                             => ([(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)
([(2,3),(3,4),(3,5)],6)                                                       => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,5),(5,2),(5,3),(5,4)],6)                                                 => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)                                           => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(2,3),(3,5),(5,4)],6)                                                       => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,4),(4,5),(5,2),(5,3)],6)                                                 => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)                                           => ([(3,4),(3,5),(4,5)],6)
([(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)
([(2,5),(3,5),(5,4)],6)                                                       => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,5),(2,5),(5,3),(5,4)],6)                                                 => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)                                           => ([(1,2),(3,4),(3,5),(4,5)],6)
([(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)
([(1,5),(2,5),(3,5),(5,4)],6)                                                 => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)                                           => ([(1,2),(3,4),(3,5),(4,5)],6)
([(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)
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)                                           => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,5),(3,5),(4,5)],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),(3,4)],6)                                                 => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)                                           => ([(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)                                           => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,5),(3,4),(3,5)],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),(4,5)],6)                                           => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,5),(2,5),(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)
([(1,5),(2,4),(3,4),(3,5)],6)                                                 => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)                                           => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)                                     => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                           => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)                                     => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                               => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                               => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => ([(1,2),(3,4),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                     => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
([(1,5),(2,5),(3,4),(5,3)],6)                                                 => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
([(1,5),(2,4),(3,4),(4,5)],6)                                                 => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)                                           => ([(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(5,4)],6)                                                 => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)                                           => ([(1,2),(3,5),(4,5)],6)
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)                                           => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
([(1,5),(2,5),(3,4),(3,5)],6)                                                 => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)                                           => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)                                           => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                                     => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(2,4)],6)                                                 => ([(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),(4,2),(4,3),(5,4)],6)                                           => ([(2,5),(3,4)],6)
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)                                           => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)                                           => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)                                           => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)                                     => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)                                     => ([(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)                                           => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                     => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)                               => ([(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                     => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,5),(2,5),(3,4),(4,5)],6)                                                 => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)                                           => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(3,4)],6)                                                 => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)                                           => ([(4,5)],6)
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)                                           => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)                                           => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                                     => ([(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)                                           => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)                                           => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                               => ([(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,4),(3,4)],6)                                                 => ([(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),(3,5)],6)                                           => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                     => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                               => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)                                           => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => ([(2,5),(3,4)],6)
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)                                           => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(2,5),(3,4)],6)                                                             => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(2,5),(3,4),(3,5)],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)
([(1,5),(2,3),(2,5),(3,4)],6)                                                 => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)                                           => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)                                     => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)                               => ([(0,1),(2,5),(3,4),(4,5)],6)
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                           => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)                                     => ([(2,5),(3,4),(4,5)],6)
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)                                           => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)                                     => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
([(2,4),(2,5),(3,4),(3,5)],6)                                                 => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                           => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)                                     => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)                                     => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)                               => ([(0,1),(2,5),(3,4),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)                         => ([(0,5),(1,4),(2,3)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)                                           => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)                                     => ([(0,1),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)                               => ([(2,5),(3,4)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)                               => ([(1,2),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)                                     => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                               => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                     => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)                               => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                               => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)                                     => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                               => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,5),(2,3),(2,5),(5,4)],6)                                                 => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)                                           => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
([(1,5),(2,3),(2,4)],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)
([(1,5),(2,3),(2,4),(2,5)],6)                                                 => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)                                           => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                                     => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)                                           => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4)],6)                                                 => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                           => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)                                           => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)                                           => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)                                     => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)                               => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)                                           => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)                                     => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6)
([(1,3),(1,5),(4,2),(5,4)],6)                                                 => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)                                           => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)                                           => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)                                     => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)                               => ([(2,5),(3,4),(4,5)],6)
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)                                     => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)                               => ([(1,5),(2,4),(3,4),(3,5)],6)
([(1,5),(2,3),(2,4),(4,5)],6)                                                 => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)                                           => ([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)                                     => ([(3,5),(4,5)],6)
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                           => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => ([(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)                                           => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                                     => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                               => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)                                     => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)                                     => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                     => ([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(1,3),(1,5),(5,2)],6)                                                 => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)                                           => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)                                           => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)                                           => ([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)                                     => ([(2,5),(3,5),(4,5)],6)
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)                                           => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)                                     => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)                                     => ([(4,5)],6)
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
([(1,4),(1,5),(2,3),(2,5)],6)                                                 => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                           => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                                     => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)                               => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                               => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)                         => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                   => ([(1,2),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)                                     => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)                               => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                         => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)                                           => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                           => ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)                                     => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)                                     => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)                               => ([(1,5),(2,4),(3,4),(3,5)],6)
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)                                           => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)                                     => ([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)                                     => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)                               => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)                                     => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)                               => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)                                     => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,2),(1,3)],6)                                                 => ([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)                                           => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                     => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)                                     => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                               => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)                                     => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                               => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                         => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)                               => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)                                     => ([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)                               => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)                                           => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)                                     => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)                               => ([(1,2),(3,5),(4,5)],6)
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)                                     => ([(1,5),(2,5),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)                                     => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)                                     => ([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                               => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                         => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)                                     => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
([(1,4),(2,3),(2,5),(4,5)],6)                                                 => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)                                           => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                           => ([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)                                     => ([(0,5),(1,5),(2,4),(3,4)],6)
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                               => ([(1,2),(3,5),(4,5)],6)
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)                                           => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)                                     => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)                                     => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(5,2)],6)                                                 => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)                                           => ([(1,5),(2,5),(3,5),(4,5)],6)
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)                                           => ([(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)                                           => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)                                     => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)                                     => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
([(2,5),(3,4),(4,5)],6)                                                       => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,5),(2,3),(3,5),(5,4)],6)                                                 => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)                                           => ([(1,2),(3,5),(4,5)],6)
([(1,3),(2,4),(4,5)],6)                                                       => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
([(1,5),(4,3),(5,2),(5,4)],6)                                                 => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,5),(2,3),(3,4),(3,5)],6)                                                 => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)                                           => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
([(0,4),(1,5),(5,2),(5,3)],6)                                                 => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)                                           => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)                                           => ([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
([(1,5),(3,4),(4,2),(5,3)],6)                                                 => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)                                           => ([(4,5)],6)
([(1,4),(2,3),(3,5),(4,5)],6)                                                 => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)                                           => ([(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,4),(4,2),(5,3)],6)                                                 => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)                                           => ([(2,5),(3,5),(4,5)],6)
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)                                     => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6)
([(1,5),(2,3),(3,4),(4,5)],6)                                                 => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                           => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)                                     => ([(4,5)],6)
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)                                           => ([(2,5),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3)],6)                                                       => ([(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)
([(0,5),(1,3),(2,4),(2,5)],6)                                                 => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,4),(2,3),(2,4),(2,5)],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),(1,5),(3,2),(4,3)],6)                                           => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)                                     => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)                                           => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)                                     => ([(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)                                           => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)                                           => ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)                                           => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)                                     => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)                               => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                   => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)                                     => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                     => ([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
([(0,5),(1,4),(1,5),(2,3),(2,5)],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),(1,5),(2,3),(2,5),(3,4)],6)                                     => ([(0,1),(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)                                           => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                     => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)                                           => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)                                     => ([(0,1),(2,5),(3,5),(4,5)],6)
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)                               => ([(2,5),(3,4)],6)
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)                                     => ([(2,5),(3,4),(4,5)],6)
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)                                           => ([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,3),(4,2),(5,4)],6)                                                 => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)                                           => ([(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)                                           => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)                                     => ([(1,5),(2,5),(3,4),(4,5)],6)
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)                                           => ([(3,5),(4,5)],6)
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)                                           => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)                                           => ([],6)
([(0,5),(1,3),(2,4),(4,5)],6)                                                 => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)                                           => ([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)                                           => ([(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)                                           => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)                                           => ([(1,5),(2,5),(3,5),(4,5)],6)
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)                                     => ([(4,5)],6)
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)                                     => ([(3,5),(4,5)],6)
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)                                           => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
([],7)                                                                        => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(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)
([(5,6)],7)                                                                   => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(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)
([(4,5),(4,6)],7)                                                             => ([(0,3),(0,4),(0,5),(0,6),(1,2),(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)
([(3,4),(3,5),(3,6)],7)                                                       => ([(0,4),(0,5),(0,6),(1,2),(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)
([(2,3),(2,4),(2,5),(2,6)],7)                                                 => ([(0,5),(0,6),(1,2),(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)
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                           => ([(0,6),(1,2),(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)
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)                                     => ([(1,2),(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)
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)                                     => ([(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)
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(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)
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],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)
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)                   => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)             => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,3),(1,4),(1,5),(1,6),(6,2)],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)
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],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)
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],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)
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],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)
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],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)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)                   => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)                         => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)                   => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                   => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)                         => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)                               => ([(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)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)                         => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)                         => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)                         => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                   => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)             => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)       => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                   => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)                         => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)                               => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)                                     => ([(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)
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(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)
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)                         => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(2,4),(2,5),(2,6),(6,3)],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)
([(1,4),(1,5),(1,6),(6,2),(6,3)],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)
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],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)
([(2,3),(2,4),(2,5),(4,6),(5,6)],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)
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],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),(5,6)],7)
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                               => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)                         => ([(2,3),(4,5),(4,6),(5,6)],7)
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                                     => ([(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)
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],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)
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)             => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)       => ([(2,3),(4,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)                   => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)             => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                   => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)                         => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                   => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(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)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)                         => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)                               => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)                         => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)                         => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)                               => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)                         => ([(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)                               => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)                         => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                                     => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)                               => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)                                           => ([(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)
([(1,3),(1,4),(1,5),(4,6),(5,2),(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)
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],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)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)                         => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)                   => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)             => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)             => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                   => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)             => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                         => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)                               => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)                                     => ([(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)
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)                               => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(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)
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)                                     => ([(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),(0,4),(0,5),(3,6),(4,2),(5,1),(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)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)                         => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)                         => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => ([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                   => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,5)],7)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)             => ([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7)
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                   => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                   => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)                         => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)                         => ([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(3,4),(3,5),(5,6)],7)                                                       => ([(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)
([(2,5),(2,6),(6,3),(6,4)],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),(4,5),(4,6),(5,6)],7)
([(1,5),(1,6),(6,2),(6,3),(6,4)],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)
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(3,4),(3,5),(4,6),(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),(4,5),(4,6),(5,6)],7)
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)                                           => ([(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)
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)                                     => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)                               => ([(2,3),(4,5),(4,6),(5,6)],7)
([(2,5),(2,6),(5,4),(6,3)],7)                                                 => ([(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)
([(2,3),(2,4),(3,6),(4,5),(4,6)],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),(5,6)],7)
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],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),(5,6)],7)
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)                               => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)                         => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)                   => ([(3,6),(4,5)],7)
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)                         => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)                   => ([(1,2),(3,6),(4,5),(5,6)],7)
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => ([(1,6),(2,5),(3,4)],7)
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)                                     => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)                               => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)                                           => ([(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)
([(1,4),(1,5),(4,6),(5,2),(5,3),(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)
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)                               => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)                                     => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)                               => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,4),(1,5),(4,3),(4,6),(5,2),(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)
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)                               => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)                   => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)             => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)       => ([(2,3),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)                         => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7)
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)                   => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)                               => ([(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)                                     => ([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)                               => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)                         => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)                   => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)             => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)                                           => ([(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)
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)                                     => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)                               => ([(2,3),(4,6),(5,6)],7)
([(4,5),(5,6)],7)                                                             => ([(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)
([(3,4),(4,5),(4,6)],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),(4,5),(4,6),(5,6)],7)
([(2,6),(6,3),(6,4),(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),(5,6)],7)
([(1,6),(6,2),(6,3),(6,4),(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)
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)                                     => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(3,4),(4,6),(6,5)],7)                                                       => ([(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)
([(2,5),(5,6),(6,3),(6,4)],7)                                                 => ([(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)
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)                                           => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(4,6),(5,6)],7)                                                             => ([(0,3),(0,4),(0,5),(0,6),(1,2),(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)
([(3,6),(4,6),(6,5)],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),(4,5),(4,6),(5,6)],7)
([(2,6),(3,6),(6,4),(6,5)],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),(5,6)],7)
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                           => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                     => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(3,6),(4,6),(5,6)],7)                                                       => ([(0,4),(0,5),(0,6),(1,2),(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)
([(2,6),(3,6),(4,6),(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),(5,6)],7)
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                           => ([(0,6),(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),(6,3),(6,4),(6,5)],7)                                     => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7)
([(2,6),(3,6),(4,6),(5,6)],7)                                                 => ([(0,5),(0,6),(1,2),(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)
([(1,6),(2,6),(3,6),(4,6),(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)
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                     => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                           => ([(0,6),(1,2),(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)
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                     => ([(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),(4,6),(5,6)],7)                                     => ([(1,2),(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)
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)                                           => ([(0,5),(0,6),(1,2),(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)
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                     => ([(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)                                     => ([(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),(4,6)],7)                                     => ([(0,6),(1,2),(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),(3,6),(4,5),(5,6)],7)                                     => ([(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)
([(1,6),(2,6),(3,6),(4,5)],7)                                                 => ([(0,4),(0,5),(0,6),(1,2),(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)
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                           => ([(0,6),(1,6),(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)                                           => ([(0,6),(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)
([(0,6),(1,6),(2,6),(3,4),(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)
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                     => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                     => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                           => ([(0,5),(0,6),(1,2),(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)
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                     => ([(0,6),(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),(3,6),(4,5)],7)                                     => ([(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)
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],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),(3,5)],7)                                           => ([(0,1),(0,5),(0,6),(1,2),(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),(2,6),(3,4),(3,5),(6,3)],7)                                     => ([(2,3),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],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)],7)
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                               => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => ([(0,5),(0,6),(1,2),(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),(2,6),(3,4),(3,5),(5,6)],7)                                     => ([(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),(3,4),(3,5),(4,6),(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)
([(1,6),(2,6),(3,6),(4,5),(5,6)],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)
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                     => ([(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),(3,4),(4,5)],7)                                           => ([(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)
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                     => ([(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)                                     => ([(2,6),(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)                                     => ([(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),(4,5),(4,6)],7)                                     => ([(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)
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)                                     => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                               => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                         => ([(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                     => ([(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)
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)                                           => ([(0,1),(0,5),(0,6),(1,2),(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)                                     => ([(0,1),(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),(3,6),(4,5),(4,6)],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)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(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),(5,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(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)
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)                                     => ([(1,6),(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),(6,3),(6,4)],7)                               => ([(2,3),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],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),(2,6),(3,5),(4,5),(4,6)],7)                                     => ([(0,2),(0,6),(1,3),(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),(2,6),(3,5),(3,6),(4,5),(4,6)],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)
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                     => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                               => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => ([(2,3),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,6),(3,5),(4,5),(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)
([(2,6),(3,6),(4,5)],7)                                                       => ([(0,3),(0,4),(0,5),(0,6),(1,2),(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)
([(2,6),(3,5),(4,5),(4,6)],7)                                                 => ([(0,1),(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)
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                           => ([(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)
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)                                     => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,5),(2,4),(3,4),(3,5),(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)
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)                                     => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7)
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
([(2,6),(3,5),(3,6),(4,5),(4,6)],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),(5,6)],7)
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                                     => ([(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)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)                               => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)                         => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                   => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                               => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                         => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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),(5,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => ([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)                   => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],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)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                         => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                   => ([(2,3),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)                         => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)                   => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => ([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)                   => ([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                   => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],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)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(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)
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],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)
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                               => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],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)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)                               => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)                         => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)                         => ([(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(1,6),(2,4),(2,6),(3,4),(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)
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)                         => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(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),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                               => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)                               => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],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)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)                         => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],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)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(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)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],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)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(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)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],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)
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => ([(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)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                         => ([(0,1),(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),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => ([(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)
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)                                           => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)                                     => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)                                     => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],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)
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,4),(3,4),(3,5),(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),(1,5),(2,5),(2,6),(3,4),(3,6)],7)                                     => ([(0,3),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                               => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],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)
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],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)
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],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)
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],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)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],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)
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],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)
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)                                     => ([(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)
([(0,6),(1,5),(2,5),(2,6),(3,4),(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),(5,6)],7)
([(2,6),(3,6),(4,5),(6,4)],7)                                                 => ([(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)
([(2,6),(3,5),(4,5),(5,6)],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)
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                           => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)                                     => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,6),(3,4),(6,5)],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),(4,6),(5,6)],7)
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                           => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,6),(3,5),(6,4),(6,5)],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)
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)                                     => ([(0,6),(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(6,4),(6,5)],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)
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)                                     => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)                                     => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(2,6),(3,6),(4,5),(4,6)],7)                                                 => ([(0,4),(0,5),(0,6),(1,2),(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)
([(1,6),(2,6),(3,4),(3,6),(6,5)],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)
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                     => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                           => ([(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)
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],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)
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                     => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],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),(2,3),(2,6),(3,4),(3,5),(6,5)],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),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                         => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                     => ([(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)
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)                               => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)                               => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,6),(3,4),(3,5)],7)                                                 => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(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),(3,4),(3,5),(6,3)],7)                                           => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(1,5),(2,5),(3,4),(3,6),(5,6)],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),(5,6)],7)
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)                               => ([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)                                     => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(2,4),(6,5)],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)
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)                                     => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)                                     => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                               => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                           => ([(0,4),(0,5),(0,6),(1,2),(1,3),(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),(2,3),(2,4),(2,6),(6,5)],7)                                     => ([(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)
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                     => ([(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)
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                               => ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],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)
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => ([(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),(2,3),(2,4),(2,5)],7)                                           => ([(0,1),(0,5),(0,6),(1,2),(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),(5,2),(5,3),(5,4),(6,5)],7)                                     => ([(2,3),(4,5),(4,6),(5,6)],7)
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],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)
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)                               => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                         => ([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                     => ([(0,5),(0,6),(1,2),(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),(1,2),(1,3),(1,5),(4,6),(5,4)],7)                                     => ([(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)
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)                               => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)                               => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],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),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                               => ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)                         => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)                         => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(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),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                         => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                   => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],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)
([(1,6),(2,6),(3,4),(3,5),(5,6)],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)
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)                                     => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],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)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)                               => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(4,5)],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)
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)                                     => ([(2,3),(4,6),(5,6)],7)
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)                                     => ([(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)
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)                               => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)                               => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)                         => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)                                     => ([(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)
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)                                     => ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                               => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                                     => ([(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),(1,4),(1,5),(3,6),(4,2),(5,3)],7)                                     => ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)                               => ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)                               => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)                         => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)                   => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)                         => ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                               => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)                         => ([(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)                   => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)                               => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)                         => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)                         => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)                   => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)                               => ([(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)                         => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)                         => ([(2,6),(3,6),(4,5),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)                                     => ([(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)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)                               => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)                               => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                         => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],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),(2,3),(2,4),(3,5),(4,6),(5,6)],7)                               => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                         => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                   => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],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)
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)                               => ([(3,6),(4,5)],7)
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(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)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],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),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                         => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)                               => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)                         => ([(3,6),(4,5)],7)
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)                               => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)                                     => ([(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)
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)                               => ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                         => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)                               => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                         => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(2,6),(3,6),(4,5),(5,6)],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)
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                           => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)                                     => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,6),(3,4),(4,5)],7)                                                 => ([(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)
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                           => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                           => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)                                     => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,3),(3,5),(6,4)],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)],7)
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)                                     => ([(1,2),(3,6),(4,6),(5,6)],7)
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)                                     => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                           => ([(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)
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)                                     => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)                                     => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)                               => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(1,6),(2,6),(3,4),(3,5)],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)
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)                                     => ([(3,6),(4,5)],7)
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)                                     => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)                               => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)                                     => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                               => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => ([(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)
([(0,3),(1,6),(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),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                               => ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                         => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                   => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)                                           => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)                                     => ([(2,6),(3,6),(4,6),(5,6)],7)
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                                     => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)                               => ([(5,6)],7)
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                           => ([(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)
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)                                     => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)                                           => ([(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)
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)                                     => ([(5,6)],7)
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)                                     => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)                                     => ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                               => ([(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)                                     => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,6),(3,5),(4,5)],7)                                                 => ([(0,1),(0,4),(0,5),(0,6),(1,2),(1,3),(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)                                           => ([(0,2),(0,5),(0,6),(1,3),(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)
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)                                     => ([(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)
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)                               => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],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)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                               => ([(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)
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                         => ([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],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),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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),(5,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                         => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                   => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                         => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                   => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)             => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],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)],7)
([(1,6),(2,5),(3,5),(4,6),(5,4)],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),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                                     => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)                                     => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)                               => ([(3,6),(4,5)],7)
([(1,6),(2,6),(3,5),(4,5),(5,6)],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)
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                     => ([(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),(6,4)],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)
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)                                     => ([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)                               => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)                                     => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,5),(2,4),(3,4),(4,6),(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)
([(0,6),(1,6),(2,5),(3,4)],7)                                                 => ([(0,3),(0,4),(0,5),(0,6),(1,2),(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)
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)                                           => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)                                     => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)                                     => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(3,4),(5,6)],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)],7)
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],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),(1,5),(2,5),(3,4),(5,6),(6,3)],7)                                     => ([(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)                                     => ([(1,6),(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),(3,6)],7)                                           => ([(0,4),(0,5),(0,6),(1,2),(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)
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)                                     => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)                                     => ([(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),(1,6),(2,5),(3,4),(3,6),(4,5)],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)
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)                               => ([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],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),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => ([(0,5),(0,6),(1,2),(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),(2,6),(3,4),(3,6),(4,5)],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)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)                                     => ([(0,2),(0,3),(0,6),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                               => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],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)
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],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)
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)                                     => ([(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)
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)                                     => ([(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)
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => ([(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)
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)                                           => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(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)                                     => ([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],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)
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],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)
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)                               => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
([(0,6),(1,5),(2,4),(2,6),(3,4),(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)
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)                                     => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],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)
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                               => ([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)                                     => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)                               => ([(1,2),(3,6),(4,5),(5,6)],7)
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)                               => ([(0,5),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],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),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)                                     => ([(0,3),(0,4),(0,6),(1,2),(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),(2,5),(3,4),(3,5),(4,6)],7)                                     => ([(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),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)                               => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)                         => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(3,5),(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)
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],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)
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],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)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],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)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => ([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)                         => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                   => ([(0,1),(1,4),(2,3),(2,5),(2,6),(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)                         => ([(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)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],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)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(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) => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)                         => ([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)                         => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)                               => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)                         => ([(1,6),(2,5),(3,4)],7)
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                         => ([(0,1),(2,5),(2,6),(3,4),(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)                               => ([(0,2),(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)
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],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)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)                               => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)                         => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                         => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)                         => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)                   => ([(1,2),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)             => ([(1,6),(2,5),(3,4)],7)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],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)
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                         => ([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                   => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],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),(1,5),(2,3),(2,5),(4,6),(5,4)],7)                                     => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)                               => ([(0,6),(1,6),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(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),(1,3),(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)
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)                                     => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)                                     => ([(1,6),(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),(3,4),(4,6),(5,6)],7)                                     => ([(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)
([(0,6),(1,5),(2,5),(3,4),(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)
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)                                     => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)                                     => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)                               => ([(2,3),(4,6),(5,6)],7)
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)                               => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                     => ([(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)
([(0,6),(1,6),(2,5),(3,4),(4,5),(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)
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)                                     => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => ([(2,3),(4,6),(5,6)],7)
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)                                     => ([(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),(4,5)],7)                                                             => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(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)
([(3,6),(4,5),(4,6)],7)                                                       => ([(0,3),(0,4),(0,5),(0,6),(1,2),(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),(3,4),(3,6),(4,5)],7)                                                 => ([(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)
([(1,6),(2,3),(2,6),(3,4),(3,5)],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)
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],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)],7)
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)                               => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)                         => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                   => ([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7)
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],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)
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                               => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)                               => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)                                     => ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)                               => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)                         => ([(0,6),(1,4),(2,3),(2,5),(3,5),(4,6),(5,6)],7)
([(2,5),(3,4),(3,5),(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),(5,6)],7)
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)                                     => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)                               => ([(1,2),(3,6),(4,5),(5,6)],7)
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                           => ([(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)
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)                                     => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)                                     => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)                               => ([(0,6),(1,2),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                           => ([(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)
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)                                     => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)                               => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)                                     => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)                               => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)                               => ([(0,6),(1,5),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)                                     => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)                               => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)                         => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(3,5),(3,6),(4,5),(4,6)],7)                                                 => ([(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),(4,5),(4,6),(5,6)],7)
([(2,5),(2,6),(3,5),(3,6),(6,4)],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),(5,6)],7)
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                                     => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)                               => ([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(2,4),(2,5),(3,4),(3,5),(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),(5,6)],7)
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                                     => ([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)                               => ([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)                         => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)                         => ([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)                   => ([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)             => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                           => ([(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)
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],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)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                               => ([(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)
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(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)
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],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)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)                         => ([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                   => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(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),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                   => ([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],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)
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                                     => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)                               => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)                         => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)                   => ([(0,3),(1,2),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)                   => ([(0,1),(2,5),(3,4),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)                         => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)                         => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],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)
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => ([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,4),(2,5),(3,4),(3,5),(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)
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                         => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                               => ([(0,1),(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)                         => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)                               => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)                         => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],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)
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)                               => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)                         => ([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)                               => ([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(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)
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)                         => ([(0,1),(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => ([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)                               => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
([(1,5),(1,6),(2,4),(2,6),(3,4),(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),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                         => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)                         => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)                   => ([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)                               => ([(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)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)                         => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)                         => ([(0,1),(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                   => ([(0,5),(1,4),(1,5),(2,3),(2,6),(3,6),(4,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)                   => ([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)                         => ([(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)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)                   => ([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => ([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)                         => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)                   => ([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)                         => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)                               => ([(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)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)                         => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)                         => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(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)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)                         => ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)                   => ([(0,3),(1,3),(1,4),(2,5),(2,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)                         => ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],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)
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)                               => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)                         => ([(1,6),(2,5),(3,4)],7)
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)                         => ([(0,1),(2,6),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)                   => ([(0,3),(1,2),(4,6),(5,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(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)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(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)],7)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,4),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => ([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => ([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],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)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)                         => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)                   => ([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                   => ([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)                               => ([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)                         => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)                         => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)                               => ([(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)
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)                         => ([(0,1),(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                         => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)                   => ([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)             => ([(1,2),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)                         => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)                   => ([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(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)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)                         => ([(0,3),(0,4),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => ([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(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)
([(1,5),(1,6),(2,5),(2,6),(3,4),(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)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)                               => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)                               => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)                         => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],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)
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)                         => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)                   => ([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)                                     => ([(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)
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)                               => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)                         => ([(3,6),(4,5)],7)
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)                         => ([(2,3),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)                         => ([(1,2),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)                               => ([(0,6),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)                         => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)                               => ([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7)
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                         => ([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],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)
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)                         => ([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)                         => ([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)                         => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)                               => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                         => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7)
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                   => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)                         => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                   => ([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)             => ([(2,3),(4,5),(4,6),(5,6)],7)
([(2,6),(3,4),(3,6),(6,5)],7)                                                 => ([(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)
([(1,6),(2,3),(2,6),(6,4),(6,5)],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)
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)                                     => ([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(2,6),(3,4),(3,5)],7)                                                       => ([(0,3),(0,4),(0,5),(0,6),(1,2),(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)
([(2,6),(3,4),(3,5),(3,6)],7)                                                 => ([(0,4),(0,5),(0,6),(1,2),(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)
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                           => ([(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)
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],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),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],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),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)                         => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],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)
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)                               => ([(0,6),(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)                                     => ([(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)
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)                               => ([(0,4),(1,5),(1,6),(2,3),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,5),(2,3),(2,4),(2,5),(3,6),(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),(5,6)],7)
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(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)
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)                         => ([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)                               => ([(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),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)                         => ([(0,4),(1,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)                               => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)                         => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)                                     => ([(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)
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],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)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)                         => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => ([(0,4),(1,3),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)                         => ([(0,6),(1,5),(2,3),(2,4),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)                         => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)                   => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => ([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)                               => ([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)                         => ([(0,4),(1,2),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                           => ([(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)
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)                                     => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,3),(2,4),(2,5)],7)                                                 => ([(0,4),(0,5),(0,6),(1,2),(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)
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                           => ([(0,5),(0,6),(1,2),(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)
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)                                     => ([(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)
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],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),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],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)
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(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),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(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)],7)
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(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),(1,2),(1,3),(1,4),(1,6),(6,5)],7)                                     => ([(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)
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)                                           => ([(0,5),(0,6),(1,2),(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)
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                     => ([(0,6),(1,2),(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)
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)                                     => ([(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)
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)                                     => ([(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)                               => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)                         => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(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)
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)                   => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => ([(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),(1,2),(1,3),(1,4),(1,6),(5,6)],7)                                     => ([(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)
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)                               => ([(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)
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)                         => ([(0,1),(0,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                   => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)                                           => ([(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)
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)                                     => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,3),(2,4),(2,5),(5,6)],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)
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)                                     => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                                     => ([(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)
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)                               => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,3),(2,4),(2,5),(4,6),(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)
([(0,6),(1,2),(1,3),(1,4),(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)
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                               => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)                         => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],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)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                         => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                               => ([(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)
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)                         => ([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                         => ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(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)
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)                                     => ([(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)
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)                               => ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)                               => ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],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)

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Created: Oct 02, 2020 at 15:37 by Martin Rubey

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Last Updated: May 17, 2021 at 10:54 by Martin Rubey