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-----------------------------------------------------------------------------
Statistic identifier: St000639

-----------------------------------------------------------------------------
Collection: Posets

-----------------------------------------------------------------------------
Description: The number of relations in a poset.

This is the number of intervals $x,y$ with $x\leq y$ in the poset, and therefore the dimension of the posets incidence algebra.

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

-----------------------------------------------------------------------------
Code:
def statistic(P):
    return P.relations_number()

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

([],2)                                                                        => 2
([(0,1)],2)                                                                   => 3
([],3)                                                                        => 3
([(1,2)],3)                                                                   => 4
([(0,1),(0,2)],3)                                                             => 5
([(0,2),(2,1)],3)                                                             => 6
([(0,2),(1,2)],3)                                                             => 5
([],4)                                                                        => 4
([(2,3)],4)                                                                   => 5
([(1,2),(1,3)],4)                                                             => 6
([(0,1),(0,2),(0,3)],4)                                                       => 7
([(0,2),(0,3),(3,1)],4)                                                       => 8
([(0,1),(0,2),(1,3),(2,3)],4)                                                 => 9
([(1,2),(2,3)],4)                                                             => 7
([(0,3),(3,1),(3,2)],4)                                                       => 9
([(1,3),(2,3)],4)                                                             => 6
([(0,3),(1,3),(3,2)],4)                                                       => 9
([(0,3),(1,3),(2,3)],4)                                                       => 7
([(0,3),(1,2)],4)                                                             => 6
([(0,3),(1,2),(1,3)],4)                                                       => 7
([(0,2),(0,3),(1,2),(1,3)],4)                                                 => 8
([(0,3),(2,1),(3,2)],4)                                                       => 10
([(0,3),(1,2),(2,3)],4)                                                       => 8
([],5)                                                                        => 5
([(3,4)],5)                                                                   => 6
([(2,3),(2,4)],5)                                                             => 7
([(1,2),(1,3),(1,4)],5)                                                       => 8
([(0,1),(0,2),(0,3),(0,4)],5)                                                 => 9
([(0,2),(0,3),(0,4),(4,1)],5)                                                 => 10
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)                                           => 11
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)                                     => 12
([(1,3),(1,4),(4,2)],5)                                                       => 9
([(0,3),(0,4),(4,1),(4,2)],5)                                                 => 11
([(1,2),(1,3),(2,4),(3,4)],5)                                                 => 10
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)                                           => 14
([(0,3),(0,4),(3,2),(4,1)],5)                                                 => 11
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)                                           => 12
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)                                     => 13
([(2,3),(3,4)],5)                                                             => 8
([(1,4),(4,2),(4,3)],5)                                                       => 10
([(0,4),(4,1),(4,2),(4,3)],5)                                                 => 12
([(2,4),(3,4)],5)                                                             => 7
([(1,4),(2,4),(4,3)],5)                                                       => 10
([(0,4),(1,4),(4,2),(4,3)],5)                                                 => 13
([(1,4),(2,4),(3,4)],5)                                                       => 8
([(0,4),(1,4),(2,4),(4,3)],5)                                                 => 12
([(0,4),(1,4),(2,4),(3,4)],5)                                                 => 9
([(0,4),(1,4),(2,3)],5)                                                       => 8
([(0,4),(1,3),(2,3),(2,4)],5)                                                 => 9
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                           => 10
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                     => 11
([(0,4),(1,4),(2,3),(4,2)],5)                                                 => 14
([(0,4),(1,3),(2,3),(3,4)],5)                                                 => 11
([(0,4),(1,4),(2,3),(2,4)],5)                                                 => 9
([(0,4),(1,4),(2,3),(3,4)],5)                                                 => 10
([(1,4),(2,3)],5)                                                             => 7
([(1,4),(2,3),(2,4)],5)                                                       => 8
([(0,4),(1,2),(1,4),(2,3)],5)                                                 => 10
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)                                           => 12
([(1,3),(1,4),(2,3),(2,4)],5)                                                 => 9
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)                                           => 12
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)                                     => 13
([(0,4),(1,2),(1,4),(4,3)],5)                                                 => 11
([(0,4),(1,2),(1,3)],5)                                                       => 8
([(0,4),(1,2),(1,3),(1,4)],5)                                                 => 9
([(0,2),(0,4),(3,1),(4,3)],5)                                                 => 12
([(0,4),(1,2),(1,3),(3,4)],5)                                                 => 10
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)                                           => 13
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)                                           => 11
([(0,3),(0,4),(1,2),(1,4)],5)                                                 => 9
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                           => 10
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                     => 11
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)                                           => 11
([(0,3),(1,2),(1,4),(3,4)],5)                                                 => 10
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)                                           => 12
([(1,4),(3,2),(4,3)],5)                                                       => 11
([(0,3),(3,4),(4,1),(4,2)],5)                                                 => 14
([(1,4),(2,3),(3,4)],5)                                                       => 9
([(0,4),(1,2),(2,4),(4,3)],5)                                                 => 13
([(0,3),(1,4),(4,2)],5)                                                       => 9
([(0,4),(3,2),(4,1),(4,3)],5)                                                 => 13
([(0,4),(1,2),(2,3),(2,4)],5)                                                 => 11
([(0,4),(2,3),(3,1),(4,2)],5)                                                 => 15
([(0,3),(1,2),(2,4),(3,4)],5)                                                 => 11
([(0,4),(1,2),(2,3),(3,4)],5)                                                 => 12
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)                                           => 14
([],6)                                                                        => 6
([(4,5)],6)                                                                   => 7
([(3,4),(3,5)],6)                                                             => 8
([(2,3),(2,4),(2,5)],6)                                                       => 9
([(1,2),(1,3),(1,4),(1,5)],6)                                                 => 10
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)                                           => 11
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)                                           => 12
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)                                     => 13
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)                               => 14
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)                         => 15
([(1,3),(1,4),(1,5),(5,2)],6)                                                 => 11
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)                                           => 13
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                           => 12
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                                     => 13
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)                               => 18
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)                                     => 14
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)                               => 15
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => 16
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                   => 17
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)                               => 15
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)                               => 17
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)                                     => 16
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)                                           => 13
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)                                     => 14
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 15
([(2,3),(2,4),(4,5)],6)                                                       => 10
([(1,4),(1,5),(5,2),(5,3)],6)                                                 => 12
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)                                           => 14
([(2,3),(2,4),(3,5),(4,5)],6)                                                 => 11
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                           => 15
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)                                     => 19
([(1,4),(1,5),(4,3),(5,2)],6)                                                 => 12
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 13
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => 14
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)                               => 18
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => 19
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)                                     => 17
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)                                           => 14
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)                                     => 15
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)                                     => 15
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)                               => 16
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => 17
([(3,4),(4,5)],6)                                                             => 9
([(2,3),(3,4),(3,5)],6)                                                       => 11
([(1,5),(5,2),(5,3),(5,4)],6)                                                 => 13
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)                                           => 15
([(2,3),(3,5),(5,4)],6)                                                       => 12
([(1,4),(4,5),(5,2),(5,3)],6)                                                 => 15
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)                                           => 18
([(3,5),(4,5)],6)                                                             => 8
([(2,5),(3,5),(5,4)],6)                                                       => 11
([(1,5),(2,5),(5,3),(5,4)],6)                                                 => 14
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)                                           => 17
([(2,5),(3,5),(4,5)],6)                                                       => 9
([(1,5),(2,5),(3,5),(5,4)],6)                                                 => 13
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)                                           => 17
([(1,5),(2,5),(3,5),(4,5)],6)                                                 => 10
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)                                           => 15
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)                                           => 11
([(0,5),(1,5),(2,5),(3,4)],6)                                                 => 10
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)                                           => 18
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)                                           => 14
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)                                           => 11
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)                                           => 12
([(1,5),(2,5),(3,4)],6)                                                       => 9
([(1,5),(2,4),(3,4),(3,5)],6)                                                 => 10
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)                                           => 13
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)                                     => 15
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                           => 11
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)                                     => 14
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                               => 16
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => 12
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                               => 16
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => 17
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                     => 15
([(1,5),(2,5),(3,4),(5,3)],6)                                                 => 15
([(1,5),(2,4),(3,4),(4,5)],6)                                                 => 12
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)                                           => 17
([(0,5),(1,5),(2,3),(5,4)],6)                                                 => 12
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)                                           => 18
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)                                           => 15
([(1,5),(2,5),(3,4),(3,5)],6)                                                 => 10
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)                                           => 14
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)                                           => 12
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                                     => 15
([(0,5),(1,5),(2,3),(2,4)],6)                                                 => 10
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)                                           => 19
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)                                           => 13
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => 16
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)                                           => 11
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)                                           => 14
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)                                     => 16
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)                                     => 17
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)                                           => 12
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                     => 15
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)                               => 17
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                     => 13
([(1,5),(2,5),(3,4),(4,5)],6)                                                 => 11
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)                                           => 16
([(0,5),(1,5),(2,3),(3,4)],6)                                                 => 11
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)                                           => 20
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)                                           => 14
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)                                           => 15
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                                     => 17
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)                                           => 13
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)                                           => 14
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => 16
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                               => 18
([(0,5),(1,5),(2,4),(3,4)],6)                                                 => 10
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)                                           => 11
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => 12
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                     => 12
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                               => 13
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => 14
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)                                           => 16
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => 19
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)                                           => 13
([(2,5),(3,4)],6)                                                             => 8
([(2,5),(3,4),(3,5)],6)                                                       => 9
([(1,5),(2,3),(2,5),(3,4)],6)                                                 => 11
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)                                           => 13
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)                                     => 15
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)                               => 17
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                           => 13
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)                                     => 18
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)                                           => 14
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)                                     => 16
([(2,4),(2,5),(3,4),(3,5)],6)                                                 => 10
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                           => 13
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)                                     => 16
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => 14
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)                                     => 16
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)                               => 17
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)                         => 18
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)                                           => 11
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)                                     => 17
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)                               => 19
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)                               => 18
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)                                     => 14
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                               => 15
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                     => 12
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)                               => 15
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 13
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                               => 14
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)                                     => 13
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                               => 15
([(1,5),(2,3),(2,5),(5,4)],6)                                                 => 12
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)                                           => 15
([(1,5),(2,3),(2,4)],6)                                                       => 9
([(1,5),(2,3),(2,4),(2,5)],6)                                                 => 10
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)                                           => 12
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => 14
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                                     => 13
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => 15
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)                                           => 13
([(0,5),(1,2),(1,3),(1,4)],6)                                                 => 10
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                           => 11
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)                                           => 14
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)                                           => 12
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)                                     => 15
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => 13
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)                               => 16
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => 14
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)                                           => 12
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)                                     => 14
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 16
([(1,3),(1,5),(4,2),(5,4)],6)                                                 => 13
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)                                           => 16
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)                                           => 15
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)                                     => 16
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)                               => 18
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)                                     => 16
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)                               => 17
([(1,5),(2,3),(2,4),(4,5)],6)                                                 => 11
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)                                           => 15
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => 14
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)                                     => 19
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                           => 12
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => 17
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)                                           => 13
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                                     => 14
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 15
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)                                     => 16
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)                                     => 16
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                     => 14
([(0,4),(1,3),(1,5),(5,2)],6)                                                 => 11
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)                                           => 15
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)                                           => 13
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)                                           => 13
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)                                     => 18
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)                                           => 12
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)                                     => 14
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)                                     => 20
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => 16
([(1,4),(1,5),(2,3),(2,5)],6)                                                 => 10
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                           => 11
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                                     => 14
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)                               => 15
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 12
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                               => 15
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)                         => 16
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                   => 17
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)                                     => 13
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)                               => 15
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                         => 16
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)                                           => 13
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                           => 12
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)                                     => 15
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)                                     => 16
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)                               => 17
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)                                           => 12
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)                                     => 14
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)                                     => 14
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)                               => 16
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)                                     => 14
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)                               => 15
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)                                     => 15
([(0,4),(0,5),(1,2),(1,3)],6)                                                 => 10
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)                                           => 11
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                     => 12
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)                                     => 13
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                               => 14
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)                                     => 12
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                               => 13
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                         => 14
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)                               => 14
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)                                     => 13
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)                               => 15
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)                                           => 12
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)                                     => 14
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)                               => 18
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)                                     => 17
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)                                     => 13
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)                                     => 14
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                               => 15
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                         => 16
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)                                     => 14
([(1,4),(2,3),(2,5),(4,5)],6)                                                 => 11
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)                                           => 15
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                           => 13
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)                                     => 17
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                               => 18
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)                                           => 13
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)                                     => 16
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)                                     => 15
([(0,5),(1,3),(1,4),(5,2)],6)                                                 => 11
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)                                           => 17
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)                                           => 17
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)                                           => 13
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)                                     => 15
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)                                     => 16
([(2,5),(3,4),(4,5)],6)                                                       => 10
([(1,5),(2,3),(3,5),(5,4)],6)                                                 => 14
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)                                           => 18
([(1,3),(2,4),(4,5)],6)                                                       => 10
([(1,5),(4,3),(5,2),(5,4)],6)                                                 => 14
([(1,5),(2,3),(3,4),(3,5)],6)                                                 => 12
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)                                           => 16
([(0,4),(1,5),(5,2),(5,3)],6)                                                 => 12
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)                                           => 16
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)                                           => 14
([(1,5),(3,4),(4,2),(5,3)],6)                                                 => 16
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)                                           => 20
([(1,4),(2,3),(3,5),(4,5)],6)                                                 => 12
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)                                           => 17
([(0,5),(1,4),(4,2),(5,3)],6)                                                 => 12
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)                                           => 18
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 14
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)                                     => 16
([(1,5),(2,3),(3,4),(4,5)],6)                                                 => 13
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                           => 15
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)                                     => 20
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)                                           => 18
([(0,5),(1,4),(2,3)],6)                                                       => 9
([(0,5),(1,3),(2,4),(2,5)],6)                                                 => 10
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)                                           => 11
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)                                           => 14
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)                                     => 16
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)                                           => 12
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)                                     => 17
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => 14
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)                                           => 16
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)                                           => 13
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)                                           => 11
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 12
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 13
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)                                     => 12
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)                               => 13
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => 14
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                   => 15
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)                                     => 14
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 12
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                     => 13
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                           => 11
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)                                     => 13
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)                                           => 12
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                     => 14
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)                                           => 14
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)                                     => 17
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)                               => 19
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)                                     => 18
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)                                           => 12
([(0,5),(1,3),(4,2),(5,4)],6)                                                 => 13
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)                                           => 17
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)                                           => 15
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)                                     => 17
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)                                           => 19
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)                                           => 16
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)                                           => 21
([(0,5),(1,3),(2,4),(4,5)],6)                                                 => 11
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)                                           => 13
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)                                           => 19
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)                                           => 15
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)                                           => 17
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)                                     => 20
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => 15
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)                                     => 19
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)                                           => 13
([],7)                                                                        => 7
([(5,6)],7)                                                                   => 8
([(4,5),(4,6)],7)                                                             => 9
([(3,4),(3,5),(3,6)],7)                                                       => 10
([(2,3),(2,4),(2,5),(2,6)],7)                                                 => 11
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                           => 12
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)                                     => 13
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)                                     => 14
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)                               => 15
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)                         => 16
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 17
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)             => 18
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)                                           => 13
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)                                     => 15
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                                     => 14
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                               => 15
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                         => 16
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)                   => 22
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)                         => 17
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)                   => 18
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                   => 21
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)                         => 20
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)                               => 16
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)                         => 17
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 18
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 19
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)                         => 17
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)                         => 17
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                   => 18
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 19
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)             => 19
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)       => 20
([(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) => 21
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                   => 20
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)                         => 19
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)                               => 18
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)                                     => 15
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)                               => 16
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)                         => 17
([(2,4),(2,5),(2,6),(6,3)],7)                                                 => 12
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)                                           => 14
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)                                     => 16
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                           => 13
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                                     => 14
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                               => 19
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)                         => 24
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                                     => 15
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                               => 16
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 17
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 18
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)             => 23
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)       => 24
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)                   => 21
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)             => 23
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                   => 22
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)                         => 20
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                   => 22
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                               => 16
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)                         => 21
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)                               => 17
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)                         => 18
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)                         => 20
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => 23
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)                               => 18
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)                         => 24
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)                               => 19
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)                         => 22
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                                     => 17
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)                               => 21
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)                                           => 14
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                                     => 15
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)                               => 16
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)                         => 18
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)                   => 19
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)             => 20
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)             => 22
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                   => 21
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)             => 22
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                         => 20
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => 21
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)                               => 19
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)                                     => 16
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)                               => 17
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)                               => 17
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => 18
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 19
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)                                     => 16
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)                               => 17
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)                         => 18
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)                         => 18
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 19
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 20
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                   => 19
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)             => 20
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => 21
([(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) => 22
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                   => 19
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                   => 21
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)                         => 18
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)                         => 20
([(3,4),(3,5),(5,6)],7)                                                       => 11
([(2,5),(2,6),(6,3),(6,4)],7)                                                 => 13
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)                                           => 15
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => 17
([(3,4),(3,5),(4,6),(5,6)],7)                                                 => 12
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)                                           => 16
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)                                     => 20
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)                               => 24
([(2,5),(2,6),(5,4),(6,3)],7)                                                 => 13
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)                                           => 14
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => 15
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)                               => 19
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)                         => 23
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 20
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)                   => 26
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)                         => 23
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)                   => 24
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => 25
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)                                     => 18
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)                               => 22
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)                                           => 15
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)                                     => 16
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)                               => 20
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)                                     => 17
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)                               => 18
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)                                     => 16
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)                               => 17
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 18
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)                   => 22
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)             => 23
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)       => 24
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)                         => 21
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)                   => 22
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)                               => 20
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)                                     => 17
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)                               => 18
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)                         => 19
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => 19
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)                   => 20
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)             => 21
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)                                           => 15
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)                                     => 20
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)                               => 25
([(4,5),(5,6)],7)                                                             => 10
([(3,4),(4,5),(4,6)],7)                                                       => 12
([(2,6),(6,3),(6,4),(6,5)],7)                                                 => 14
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                           => 16
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)                                     => 18
([(3,4),(4,6),(6,5)],7)                                                       => 13
([(2,5),(5,6),(6,3),(6,4)],7)                                                 => 16
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)                                           => 19
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => 22
([(4,6),(5,6)],7)                                                             => 9
([(3,6),(4,6),(6,5)],7)                                                       => 12
([(2,6),(3,6),(6,4),(6,5)],7)                                                 => 15
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                           => 18
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                     => 21
([(3,6),(4,6),(5,6)],7)                                                       => 10
([(2,6),(3,6),(4,6),(6,5)],7)                                                 => 14
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                           => 18
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                     => 22
([(2,6),(3,6),(4,6),(5,6)],7)                                                 => 11
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                           => 16
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                     => 21
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                           => 12
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                     => 18
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                     => 13
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)                                           => 12
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                     => 22
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                     => 17
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                     => 13
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                     => 14
([(1,6),(2,6),(3,6),(4,5)],7)                                                 => 11
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                           => 19
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                           => 15
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)                                           => 15
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                     => 23
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                     => 19
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                           => 12
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                     => 17
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                     => 14
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => 18
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)                                           => 12
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                     => 24
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)                                     => 16
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                               => 20
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => 13
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 14
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => 15
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                           => 13
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                     => 19
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)                                           => 13
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                     => 25
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)                                     => 21
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)                                     => 17
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                     => 15
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)                                     => 19
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                               => 22
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                         => 25
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                     => 16
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)                                           => 12
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)                                     => 13
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                               => 14
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 15
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 15
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 16
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 17
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)                                     => 20
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 24
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)                                     => 16
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                     => 13
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => 14
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                     => 18
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                               => 21
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => 24
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                     => 15
([(2,6),(3,6),(4,5)],7)                                                       => 10
([(2,6),(3,5),(4,5),(4,6)],7)                                                 => 11
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                           => 14
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)                                     => 17
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                                     => 16
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 22
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)                                     => 17
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 19
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => 21
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => 12
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                                     => 15
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)                               => 18
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)                         => 20
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                   => 22
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => 17
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                               => 19
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                         => 21
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => 13
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 17
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => 21
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 18
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => 21
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)                   => 22
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => 23
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                               => 14
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                         => 22
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                   => 24
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)                         => 18
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)                   => 23
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => 19
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                         => 15
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)                   => 19
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 16
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                   => 17
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                         => 16
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                   => 18
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                     => 16
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                               => 20
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                     => 13
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)                               => 19
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)                         => 23
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)                         => 21
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => 16
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)                         => 22
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => 18
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                               => 21
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)                               => 17
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => 14
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)                         => 18
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 15
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                         => 16
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => 14
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                         => 17
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                         => 16
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 15
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                         => 17
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 15
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)                                           => 12
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)                                     => 13
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)                                     => 18
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => 15
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => 20
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                               => 17
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)                                     => 13
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                               => 14
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => 15
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 16
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => 15
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)                               => 16
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 14
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 15
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)                                     => 14
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 16
([(2,6),(3,6),(4,5),(6,4)],7)                                                 => 16
([(2,6),(3,5),(4,5),(5,6)],7)                                                 => 13
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                           => 18
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)                                     => 23
([(1,6),(2,6),(3,4),(6,5)],7)                                                 => 13
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                           => 19
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                           => 16
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)                                     => 21
([(0,6),(1,6),(2,3),(6,4),(6,5)],7)                                           => 16
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)                                     => 22
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)                                     => 19
([(2,6),(3,6),(4,5),(4,6)],7)                                                 => 11
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                           => 15
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                     => 19
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                           => 13
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                                     => 16
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                     => 17
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 20
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                     => 15
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)                               => 18
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                         => 21
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                     => 16
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)                               => 22
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)                               => 19
([(1,6),(2,6),(3,4),(3,5)],7)                                                 => 11
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                           => 20
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                           => 14
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => 17
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)                               => 22
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)                                     => 19
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)                                           => 14
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)                                     => 23
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)                                     => 17
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                               => 20
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                           => 12
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                     => 16
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                     => 14
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                               => 17
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                               => 15
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => 18
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)                                           => 12
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)                                     => 24
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)                                     => 15
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)                               => 18
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                         => 21
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                     => 13
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)                                     => 16
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)                               => 18
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)                               => 19
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                     => 14
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                               => 17
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)                         => 19
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)                         => 20
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                               => 15
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                         => 18
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                   => 20
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => 16
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                           => 13
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)                                     => 18
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                     => 14
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)                               => 20
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)                                           => 13
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)                                     => 25
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)                                     => 16
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)                               => 19
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)                               => 20
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)                         => 23
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)                                     => 16
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)                                     => 17
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                               => 19
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                                     => 15
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)                                     => 17
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)                               => 21
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)                               => 18
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)                         => 20
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)                   => 21
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)                         => 19
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                               => 20
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)                         => 21
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)                   => 22
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)                               => 19
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)                         => 23
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)                         => 20
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)                   => 22
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)                               => 18
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)                         => 20
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)                         => 24
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)                                     => 15
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)                               => 19
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)                               => 18
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                         => 20
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                               => 16
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)                               => 17
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                         => 19
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                   => 21
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)                                     => 14
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)                               => 26
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)                               => 17
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)                               => 16
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                         => 17
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)                               => 22
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)                         => 26
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)                               => 18
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)                                     => 16
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)                               => 18
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                         => 20
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)                               => 19
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                         => 21
([(2,6),(3,6),(4,5),(5,6)],7)                                                 => 12
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                           => 17
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)                                     => 22
([(1,6),(2,6),(3,4),(4,5)],7)                                                 => 12
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                           => 21
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                           => 15
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)                                     => 21
([(0,6),(1,6),(2,3),(3,5),(6,4)],7)                                           => 15
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)                                     => 24
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)                                     => 18
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                           => 14
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)                                     => 19
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)                                     => 17
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)                               => 20
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)                                           => 14
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)                                     => 26
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)                                     => 17
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)                               => 20
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)                                     => 18
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                               => 20
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => 16
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 17
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                               => 19
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                         => 21
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => 18
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => 20
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                   => 22
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)                                           => 18
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)                                     => 24
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                                     => 21
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)                               => 27
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                           => 15
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)                                     => 21
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)                                           => 15
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)                                     => 27
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)                                     => 18
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)                                     => 21
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                               => 24
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)                                     => 18
([(1,6),(2,6),(3,5),(4,5)],7)                                                 => 11
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                           => 12
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)                                     => 15
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)                               => 18
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => 13
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                               => 16
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                         => 19
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 18
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                     => 13
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 17
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 19
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => 14
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                         => 18
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                   => 20
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                         => 19
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 15
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                   => 20
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)             => 21
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                     => 16
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                           => 17
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                                     => 20
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)                                     => 23
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)                               => 26
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                           => 14
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                     => 20
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)                                           => 14
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)                                     => 20
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)                               => 23
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)                                     => 17
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)                                     => 17
([(0,6),(1,6),(2,5),(3,4)],7)                                                 => 11
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)                                           => 17
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)                                     => 23
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)                                     => 20
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)                                           => 14
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                                     => 17
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)                                     => 24
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)                                     => 19
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)                                           => 12
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)                                     => 20
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)                                     => 16
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)                                     => 14
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)                               => 21
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 17
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => 13
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                               => 15
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)                                     => 13
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                               => 17
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 14
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 15
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)                                     => 14
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)                                     => 14
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 16
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)                                           => 12
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)                                     => 13
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 14
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 15
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)                               => 19
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                               => 16
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)                                     => 21
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 15
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                               => 18
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)                                     => 18
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)                               => 24
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)                               => 21
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 15
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)                                     => 13
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)                                     => 14
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)                               => 19
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)                         => 22
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 16
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)                                     => 13
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)                               => 14
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)                         => 15
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 16
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 17
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)                         => 17
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)                         => 15
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                   => 18
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                         => 15
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                   => 16
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 17
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                   => 16
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 17
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => 18
([(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) => 19
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)                         => 17
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)                         => 20
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)                               => 22
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)                         => 25
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)                               => 16
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                         => 19
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                               => 14
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 15
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)                               => 19
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)                         => 22
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                         => 21
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)                         => 23
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)                   => 24
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)             => 25
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                               => 16
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                         => 20
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                   => 23
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => 17
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)                                     => 18
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 21
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)                                     => 15
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)                                           => 13
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)                                     => 23
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)                                     => 18
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)                                     => 15
([(0,6),(1,5),(2,5),(3,4),(4,6)],7)                                           => 13
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)                                     => 22
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)                                     => 19
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)                               => 25
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)                               => 22
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                     => 16
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)                                     => 15
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)                                     => 21
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 25
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)                                     => 17
([(3,6),(4,5)],7)                                                             => 9
([(3,6),(4,5),(4,6)],7)                                                       => 10
([(2,6),(3,4),(3,6),(4,5)],7)                                                 => 12
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                           => 14
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)                                     => 16
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)                               => 18
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)                         => 20
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                   => 22
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)                                     => 16
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                               => 18
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)                               => 21
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)                                     => 17
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)                               => 19
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)                         => 21
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                           => 14
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)                                     => 19
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)                               => 24
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                           => 15
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)                                     => 17
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)                                     => 18
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)                               => 20
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                           => 15
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)                                     => 17
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)                               => 23
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)                                     => 18
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)                               => 22
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)                               => 20
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)                                     => 18
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)                               => 20
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)                         => 22
([(3,5),(3,6),(4,5),(4,6)],7)                                                 => 11
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                           => 14
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                                     => 17
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)                               => 20
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                     => 15
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 20
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                                     => 17
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 18
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => 19
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)                               => 20
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)                         => 21
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)                         => 21
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)                   => 22
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)             => 23
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                           => 12
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                                     => 13
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                               => 16
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => 17
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => 18
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                   => 19
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 14
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)                         => 17
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                   => 18
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => 20
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                   => 19
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => 18
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)                               => 16
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                                     => 18
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)                               => 21
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)                         => 22
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)                   => 24
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)                   => 23
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)                         => 23
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)                         => 22
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => 15
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => 19
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 16
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                         => 22
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                               => 18
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)                         => 19
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)                               => 20
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)                         => 21
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)                                     => 15
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)                               => 21
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)                         => 22
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)                               => 18
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)                               => 16
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)                         => 19
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => 20
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => 13
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)                               => 17
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => 16
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                         => 20
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)                         => 21
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)                   => 22
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)                               => 16
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)                         => 18
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)                         => 19
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                   => 21
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 14
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => 18
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)                   => 19
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)                         => 16
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)                   => 19
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => 20
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 15
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)                         => 19
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)                   => 21
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)                         => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)                               => 15
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)                         => 18
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)                         => 18
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)                   => 19
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)                         => 17
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)                   => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)                         => 18
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)                                     => 13
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)                               => 22
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)                         => 25
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)                         => 23
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)                   => 24
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)                               => 16
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => 19
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)                         => 17
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => 19
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => 20
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => 21
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)                               => 14
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)                         => 17
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)                   => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                         => 15
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)                         => 16
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                   => 17
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)                               => 19
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)                         => 21
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)                         => 23
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)                               => 15
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)                         => 18
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                         => 17
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)                   => 21
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)             => 23
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)                         => 20
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)                   => 22
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)                         => 16
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)                         => 17
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => 18
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => 19
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                                     => 14
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)                               => 19
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)                               => 17
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)                         => 20
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 16
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)                         => 21
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)                   => 22
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)                                     => 14
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)                               => 23
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)                         => 26
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)                         => 25
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)                         => 24
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)                               => 17
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)                         => 18
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)                               => 20
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                         => 22
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)                               => 16
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)                         => 19
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)                         => 18
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)                         => 19
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)                               => 17
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                         => 21
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                   => 23
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)                         => 20
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                   => 22
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)             => 24
([(2,6),(3,4),(3,6),(6,5)],7)                                                 => 13
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                           => 16
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)                                     => 19
([(2,6),(3,4),(3,5)],7)                                                       => 10
([(2,6),(3,4),(3,5),(3,6)],7)                                                 => 11
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                           => 13
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)                                     => 15
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)                               => 17
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)                         => 19
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => 15
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)                               => 20
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)                                     => 16
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)                               => 18
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                                     => 14
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => 16
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)                         => 22
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)                               => 17
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)                         => 19
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)                               => 18
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)                         => 20
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)                                     => 15
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)                               => 16
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)                         => 18
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 20
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)                         => 18
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)                         => 17
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)                   => 19
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 21
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)                               => 17
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)                         => 19
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                           => 14
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)                                     => 17
([(1,6),(2,3),(2,4),(2,5)],7)                                                 => 11
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                           => 12
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)                                     => 14
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)                               => 16
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)                               => 15
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => 17
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)                         => 16
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 18
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)                                     => 15
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)                                           => 12
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                     => 13
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)                                     => 16
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)                                     => 14
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)                               => 17
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                               => 15
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)                         => 18
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => 16
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)                   => 19
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 17
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)                                     => 14
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)                               => 16
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)                         => 18
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                   => 20
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)                                           => 15
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)                                     => 18
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                           => 13
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)                                     => 17
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                                     => 16
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)                               => 21
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => 14
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                               => 19
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                               => 17
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)                         => 23
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => 15
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                         => 21
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                               => 16
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)                         => 20
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                         => 19
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                         => 17
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)                                     => 15
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)                               => 18
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)                               => 18
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                               => 16
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)                               => 18

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Created: Nov 02, 2016 at 22:09 by Martin Rubey

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Last Updated: Nov 02, 2016 at 22:09 by Martin Rubey