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-----------------------------------------------------------------------------
Statistic identifier: St000908

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Collection: Posets

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Description: The length of the shortest maximal antichain in a poset.

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

-----------------------------------------------------------------------------
Code:
def statistic(P):
    return min(len(a) for a in P.maximal_antichains())


-----------------------------------------------------------------------------
Statistic values:

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

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Created: Jul 21, 2017 at 15:29 by Martin Rubey

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Last Updated: Feb 15, 2024 at 13:43 by Martin Rubey