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Statistic identifier: St001105

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Collection: Posets

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Description: The number of greedy linear extensions of a poset.

A linear extension of a poset $P$ with elements $\{x_1,\dots,x_n\}$ is greedy, if it can be obtained by the following algorithm:

* Step 1. Choose a minimal element $x_1$.

* Step 2. Suppose $X=\{x_1,\dots,x_i\}$ have been chosen. If there is at least one minimal element of $P\setminus X$ which is greater than $x_i$ then choose $x_{i+1}$ to be any such minimal element; otherwise, choose $x_{i+1}$ to be any minimal element of $P\setminus X$.

This statistic records the number of greedy linear extensions.

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References: [1]   Brualdi, R. A., Jung, H. C., Trotter, Jr., W. T. On the poset of all posets on $n$ elements [[MathSciNet:1275415]]

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Code:
def statistic(P):
    return sum(1 for i in P._hasse_diagram.greedy_linear_extensions_iterator())


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Statistic values:

([],2)                                                                        => 2
([(0,1)],2)                                                                   => 1
([],3)                                                                        => 6
([(1,2)],3)                                                                   => 2
([(0,1),(0,2)],3)                                                             => 2
([(0,2),(2,1)],3)                                                             => 1
([(0,2),(1,2)],3)                                                             => 2
([],4)                                                                        => 24
([(2,3)],4)                                                                   => 6
([(1,2),(1,3)],4)                                                             => 6
([(0,1),(0,2),(0,3)],4)                                                       => 6
([(0,2),(0,3),(3,1)],4)                                                       => 2
([(0,1),(0,2),(1,3),(2,3)],4)                                                 => 2
([(1,2),(2,3)],4)                                                             => 2
([(0,3),(3,1),(3,2)],4)                                                       => 2
([(1,3),(2,3)],4)                                                             => 6
([(0,3),(1,3),(3,2)],4)                                                       => 2
([(0,3),(1,3),(2,3)],4)                                                       => 6
([(0,3),(1,2)],4)                                                             => 2
([(0,3),(1,2),(1,3)],4)                                                       => 3
([(0,2),(0,3),(1,2),(1,3)],4)                                                 => 4
([(0,3),(2,1),(3,2)],4)                                                       => 1
([(0,3),(1,2),(2,3)],4)                                                       => 2
([],5)                                                                        => 120
([(3,4)],5)                                                                   => 24
([(2,3),(2,4)],5)                                                             => 24
([(1,2),(1,3),(1,4)],5)                                                       => 24
([(0,1),(0,2),(0,3),(0,4)],5)                                                 => 24
([(0,2),(0,3),(0,4),(4,1)],5)                                                 => 6
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)                                           => 6
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)                                     => 6
([(1,3),(1,4),(4,2)],5)                                                       => 6
([(0,3),(0,4),(4,1),(4,2)],5)                                                 => 6
([(1,2),(1,3),(2,4),(3,4)],5)                                                 => 6
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)                                           => 2
([(0,3),(0,4),(3,2),(4,1)],5)                                                 => 2
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)                                           => 3
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)                                     => 4
([(2,3),(3,4)],5)                                                             => 6
([(1,4),(4,2),(4,3)],5)                                                       => 6
([(0,4),(4,1),(4,2),(4,3)],5)                                                 => 6
([(2,4),(3,4)],5)                                                             => 24
([(1,4),(2,4),(4,3)],5)                                                       => 6
([(0,4),(1,4),(4,2),(4,3)],5)                                                 => 4
([(1,4),(2,4),(3,4)],5)                                                       => 24
([(0,4),(1,4),(2,4),(4,3)],5)                                                 => 6
([(0,4),(1,4),(2,4),(3,4)],5)                                                 => 24
([(0,4),(1,4),(2,3)],5)                                                       => 6
([(0,4),(1,3),(2,3),(2,4)],5)                                                 => 8
([(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)                                     => 12
([(0,4),(1,4),(2,3),(4,2)],5)                                                 => 2
([(0,4),(1,3),(2,3),(3,4)],5)                                                 => 6
([(0,4),(1,4),(2,3),(2,4)],5)                                                 => 8
([(0,4),(1,4),(2,3),(3,4)],5)                                                 => 6
([(1,4),(2,3)],5)                                                             => 6
([(1,4),(2,3),(2,4)],5)                                                       => 11
([(0,4),(1,2),(1,4),(2,3)],5)                                                 => 3
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)                                           => 3
([(1,3),(1,4),(2,3),(2,4)],5)                                                 => 16
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)                                           => 4
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)                                     => 4
([(0,4),(1,2),(1,4),(4,3)],5)                                                 => 3
([(0,4),(1,2),(1,3)],5)                                                       => 6
([(0,4),(1,2),(1,3),(1,4)],5)                                                 => 10
([(0,2),(0,4),(3,1),(4,3)],5)                                                 => 2
([(0,4),(1,2),(1,3),(3,4)],5)                                                 => 6
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)                                           => 2
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)                                           => 6
([(0,3),(0,4),(1,2),(1,4)],5)                                                 => 4
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                           => 8
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                     => 12
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)                                           => 4
([(0,3),(1,2),(1,4),(3,4)],5)                                                 => 3
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)                                           => 4
([(1,4),(3,2),(4,3)],5)                                                       => 2
([(0,3),(3,4),(4,1),(4,2)],5)                                                 => 2
([(1,4),(2,3),(3,4)],5)                                                       => 6
([(0,4),(1,2),(2,4),(4,3)],5)                                                 => 2
([(0,3),(1,4),(4,2)],5)                                                       => 2
([(0,4),(3,2),(4,1),(4,3)],5)                                                 => 2
([(0,4),(1,2),(2,3),(2,4)],5)                                                 => 3
([(0,4),(2,3),(3,1),(4,2)],5)                                                 => 1
([(0,3),(1,2),(2,4),(3,4)],5)                                                 => 2
([(0,4),(1,2),(2,3),(3,4)],5)                                                 => 2
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)                                           => 2
([],6)                                                                        => 720
([(4,5)],6)                                                                   => 120
([(3,4),(3,5)],6)                                                             => 120
([(2,3),(2,4),(2,5)],6)                                                       => 120
([(1,2),(1,3),(1,4),(1,5)],6)                                                 => 120
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)                                           => 120
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)                                           => 24
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)                                     => 24
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)                               => 24
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)                         => 24
([(1,3),(1,4),(1,5),(5,2)],6)                                                 => 24
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)                                           => 24
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                           => 24
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                                     => 24
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)                               => 6
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)                                     => 6
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)                               => 8
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => 10
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                   => 12
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)                               => 8
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)                               => 6
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)                                     => 6
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)                                           => 6
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)                                     => 11
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 16
([(2,3),(2,4),(4,5)],6)                                                       => 24
([(1,4),(1,5),(5,2),(5,3)],6)                                                 => 24
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)                                           => 24
([(2,3),(2,4),(3,5),(4,5)],6)                                                 => 24
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                           => 6
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)                                     => 4
([(1,4),(1,5),(4,3),(5,2)],6)                                                 => 6
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 11
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => 16
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)                               => 4
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => 4
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)                                     => 3
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)                                           => 6
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)                                     => 10
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)                                     => 4
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)                               => 8
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => 12
([(3,4),(4,5)],6)                                                             => 24
([(2,3),(3,4),(3,5)],6)                                                       => 24
([(1,5),(5,2),(5,3),(5,4)],6)                                                 => 24
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)                                           => 24
([(2,3),(3,5),(5,4)],6)                                                       => 6
([(1,4),(4,5),(5,2),(5,3)],6)                                                 => 6
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)                                           => 6
([(3,5),(4,5)],6)                                                             => 120
([(2,5),(3,5),(5,4)],6)                                                       => 24
([(1,5),(2,5),(5,3),(5,4)],6)                                                 => 16
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)                                           => 12
([(2,5),(3,5),(4,5)],6)                                                       => 120
([(1,5),(2,5),(3,5),(5,4)],6)                                                 => 24
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)                                           => 12
([(1,5),(2,5),(3,5),(4,5)],6)                                                 => 120
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)                                           => 24
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)                                           => 120
([(0,5),(1,5),(2,5),(3,4)],6)                                                 => 24
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)                                           => 6
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)                                           => 24
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)                                           => 30
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)                                           => 24
([(1,5),(2,5),(3,4)],6)                                                       => 24
([(1,5),(2,4),(3,4),(3,5)],6)                                                 => 36
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)                                           => 8
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)                                     => 8
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                           => 48
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)                                     => 10
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                               => 10
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => 60
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                               => 12
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => 12
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                     => 10
([(1,5),(2,5),(3,4),(5,3)],6)                                                 => 6
([(1,5),(2,4),(3,4),(4,5)],6)                                                 => 24
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)                                           => 6
([(0,5),(1,5),(2,3),(5,4)],6)                                                 => 6
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)                                           => 4
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)                                           => 10
([(1,5),(2,5),(3,4),(3,5)],6)                                                 => 36
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)                                           => 8
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)                                           => 8
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                                     => 8
([(0,5),(1,5),(2,3),(2,4)],6)                                                 => 24
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)                                           => 4
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)                                           => 8
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => 12
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)                                           => 32
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)                                           => 6
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)                                     => 6
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)                                     => 2
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)                                           => 24
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                     => 6
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)                               => 6
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                     => 24
([(1,5),(2,5),(3,4),(4,5)],6)                                                 => 24
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)                                           => 6
([(0,5),(1,5),(2,3),(3,4)],6)                                                 => 6
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)                                           => 2
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)                                           => 6
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)                                           => 6
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                                     => 6
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)                                           => 8
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)                                           => 6
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => 6
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                               => 6
([(0,5),(1,5),(2,4),(3,4)],6)                                                 => 24
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)                                           => 30
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => 36
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                     => 36
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                               => 42
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => 48
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)                                           => 6
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => 4
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)                                           => 24
([(2,5),(3,4)],6)                                                             => 24
([(2,5),(3,4),(3,5)],6)                                                       => 52
([(1,5),(2,3),(2,5),(3,4)],6)                                                 => 11
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)                                           => 10
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)                                     => 4
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)                               => 6
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                           => 11
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)                                     => 3
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)                                           => 3
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)                                     => 5
([(2,4),(2,5),(3,4),(3,5)],6)                                                 => 80
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                           => 16
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)                                     => 12
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => 16
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)                                     => 4
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)                               => 6
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)                         => 8
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)                                           => 16
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)                                     => 4
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)                               => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)                               => 4
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)                                     => 16
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                               => 16
([(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)                               => 12
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 20
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                               => 12
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)                                     => 10
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                               => 12
([(1,5),(2,3),(2,5),(5,4)],6)                                                 => 11
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)                                           => 8
([(1,5),(2,3),(2,4)],6)                                                       => 24
([(1,5),(2,3),(2,4),(2,5)],6)                                                 => 46
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)                                           => 10
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => 10
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                                     => 10
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => 10
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)                                           => 10
([(0,5),(1,2),(1,3),(1,4)],6)                                                 => 24
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                           => 42
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)                                           => 6
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)                                           => 24
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)                                     => 6
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => 24
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)                               => 6
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => 24
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)                                           => 10
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)                                     => 8
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 12
([(1,3),(1,5),(4,2),(5,4)],6)                                                 => 6
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)                                           => 6
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)                                           => 2
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)                                     => 3
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)                               => 3
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)                                     => 3
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)                               => 4
([(1,5),(2,3),(2,4),(4,5)],6)                                                 => 24
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)                                           => 6
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => 6
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)                                     => 2
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                           => 24
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => 6
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)                                           => 6
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                                     => 8
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 10
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)                                     => 6
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)                                     => 6
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                     => 8
([(0,4),(1,3),(1,5),(5,2)],6)                                                 => 6
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)                                           => 6
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)                                           => 11
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)                                           => 6
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)                                     => 2
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)                                           => 6
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)                                     => 6
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)                                     => 2
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => 6
([(1,4),(1,5),(2,3),(2,5)],6)                                                 => 16
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                           => 38
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                                     => 8
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)                               => 8
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 60
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                               => 12
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)                         => 12
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                   => 12
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)                                     => 8
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)                               => 8
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                         => 8
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)                                           => 4
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                           => 16
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)                                     => 4
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)                                     => 4
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)                               => 4
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)                                           => 4
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)                                     => 4
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)                                     => 8
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)                               => 5
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)                                     => 4
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)                               => 4
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)                                     => 4
([(0,4),(0,5),(1,2),(1,3)],6)                                                 => 24
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)                                           => 18
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                     => 36
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)                                     => 15
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                               => 12
([(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)                               => 30
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                         => 48
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)                               => 12
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)                                     => 8
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)                               => 12
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)                                           => 11
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)                                     => 16
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)                               => 4
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)                                     => 3
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)                                     => 8
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)                                     => 8
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                               => 10
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                         => 12
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)                                     => 4
([(1,4),(2,3),(2,5),(4,5)],6)                                                 => 11
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)                                           => 3
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                           => 16
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)                                     => 4
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                               => 4
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)                                           => 3
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)                                     => 3
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)                                     => 4
([(0,5),(1,3),(1,4),(5,2)],6)                                                 => 6
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)                                           => 2
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)                                           => 6
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)                                           => 4
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)                                     => 8
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)                                     => 4
([(2,5),(3,4),(4,5)],6)                                                       => 24
([(1,5),(2,3),(3,5),(5,4)],6)                                                 => 6
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)                                           => 4
([(1,3),(2,4),(4,5)],6)                                                       => 6
([(1,5),(4,3),(5,2),(5,4)],6)                                                 => 6
([(1,5),(2,3),(3,4),(3,5)],6)                                                 => 11
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)                                           => 3
([(0,4),(1,5),(5,2),(5,3)],6)                                                 => 6
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)                                           => 6
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)                                           => 10
([(1,5),(3,4),(4,2),(5,3)],6)                                                 => 2
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)                                           => 2
([(1,4),(2,3),(3,5),(4,5)],6)                                                 => 6
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)                                           => 2
([(0,5),(1,4),(4,2),(5,3)],6)                                                 => 2
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)                                           => 2
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => 3
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)                                     => 4
([(1,5),(2,3),(3,4),(4,5)],6)                                                 => 6
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                           => 6
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)                                     => 2
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)                                           => 2
([(0,5),(1,4),(2,3)],6)                                                       => 6
([(0,5),(1,3),(2,4),(2,5)],6)                                                 => 11
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)                                           => 22
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)                                           => 3
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)                                     => 3
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)                                           => 11
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)                                     => 3
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => 11
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)                                           => 3
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)                                           => 11
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)                                           => 13
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 24
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => 32
([(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)                               => 20
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => 28
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                   => 36
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)                                     => 10
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 21
([(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)                                           => 10
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)                                     => 10
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)                                           => 8
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                     => 10
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)                                           => 3
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)                                     => 4
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)                               => 4
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)                                     => 3
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)                                           => 8
([(0,5),(1,3),(4,2),(5,4)],6)                                                 => 2
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)                                           => 2
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)                                           => 3
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)                                     => 3
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)                                           => 2
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)                                           => 3
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)                                           => 1
([(0,5),(1,3),(2,4),(4,5)],6)                                                 => 6
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)                                           => 8
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)                                           => 2
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)                                           => 6
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)                                           => 2
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)                                     => 2
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => 2
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)                                     => 2
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)                                           => 6
([],7)                                                                        => 5040
([(5,6)],7)                                                                   => 720
([(4,5),(4,6)],7)                                                             => 720
([(3,4),(3,5),(3,6)],7)                                                       => 720
([(2,3),(2,4),(2,5),(2,6)],7)                                                 => 720
([(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                           => 720
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)                                     => 720
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)                                     => 120
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)                               => 120
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)                         => 120
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 120
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)             => 120
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)                                           => 120
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)                                     => 120
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                                     => 120
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                               => 120
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                         => 120
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)                   => 24
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)                         => 24
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)                   => 30
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                   => 24
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)                         => 24
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)                               => 24
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)                         => 36
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 48
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 60
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)                         => 36
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)                         => 24
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                   => 30
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 36
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)             => 36
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)       => 42
([(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) => 48
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                   => 24
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)                         => 24
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)                               => 24
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)                                     => 24
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)                               => 52
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)                         => 80
([(2,4),(2,5),(2,6),(6,3)],7)                                                 => 120
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)                                           => 120
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)                                     => 120
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                           => 120
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                                     => 120
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                               => 24
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)                         => 12
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                                     => 24
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                               => 36
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 48
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 60
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)             => 12
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)       => 12
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)                   => 10
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)             => 10
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                   => 10
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)                         => 8
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                   => 8
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                               => 36
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)                         => 8
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)                               => 24
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)                         => 32
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)                         => 8
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => 12
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)                               => 24
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)                         => 6
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)                               => 6
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)                         => 10
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                                     => 24
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)                               => 16
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)                                           => 24
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                                     => 52
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)                               => 80
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)                         => 16
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)                   => 12
([(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)             => 12
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                   => 16
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)             => 16
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                         => 16
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => 16
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)                               => 11
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)                                     => 24
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)                               => 46
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)                               => 16
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => 38
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 60
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)                                     => 6
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)                               => 11
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)                         => 22
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)                         => 13
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 24
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 32
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                   => 12
([(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)       => 28
([(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) => 36
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                   => 21
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                   => 10
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)                         => 10
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)                         => 11
([(3,4),(3,5),(5,6)],7)                                                       => 120
([(2,5),(2,6),(6,3),(6,4)],7)                                                 => 120
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)                                           => 120
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => 120
([(3,4),(3,5),(4,6),(5,6)],7)                                                 => 120
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)                                           => 24
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)                                     => 16
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)                               => 12
([(2,5),(2,6),(5,4),(6,3)],7)                                                 => 24
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)                                           => 52
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => 80
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)                               => 16
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)                         => 12
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 16
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)                   => 4
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)                         => 4
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)                   => 6
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => 8
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)                                     => 11
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)                               => 8
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)                                           => 24
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)                                     => 46
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)                               => 10
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)                                     => 24
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)                               => 42
([(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)                               => 38
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 60
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)                   => 12
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)             => 12
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)       => 12
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)                         => 8
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)                   => 8
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)                               => 4
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)                                     => 24
([(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)                         => 36
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => 12
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)                   => 30
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)             => 48
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)                                           => 24
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)                                     => 6
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)                               => 4
([(4,5),(5,6)],7)                                                             => 120
([(3,4),(4,5),(4,6)],7)                                                       => 120
([(2,6),(6,3),(6,4),(6,5)],7)                                                 => 120
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                           => 120
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)                                     => 120
([(3,4),(4,6),(6,5)],7)                                                       => 24
([(2,5),(5,6),(6,3),(6,4)],7)                                                 => 24
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)                                           => 24
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => 24
([(4,6),(5,6)],7)                                                             => 720
([(3,6),(4,6),(6,5)],7)                                                       => 120
([(2,6),(3,6),(6,4),(6,5)],7)                                                 => 80
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                           => 60
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                     => 48
([(3,6),(4,6),(5,6)],7)                                                       => 720
([(2,6),(3,6),(4,6),(6,5)],7)                                                 => 120
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                           => 60
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                     => 36
([(2,6),(3,6),(4,6),(5,6)],7)                                                 => 720
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                           => 120
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                     => 48
([(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                           => 720
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                     => 120
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                     => 720
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)                                           => 120
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                     => 24
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                     => 120
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                     => 144
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                     => 120
([(1,6),(2,6),(3,6),(4,5)],7)                                                 => 120
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                           => 24
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                           => 120
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)                                           => 24
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                     => 12
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                     => 42
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                           => 162
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                     => 30
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                     => 30
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => 30
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)                                           => 120
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                     => 12
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)                                     => 30
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                               => 48
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => 144
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 120
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => 120
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                           => 120
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                     => 24
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)                                           => 24
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                     => 6
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)                                     => 24
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)                                     => 24
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                     => 30
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)                                     => 6
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                               => 6
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                         => 6
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                     => 24
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)                                           => 120
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)                                     => 144
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                               => 168
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 192
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 192
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 216
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 240
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)                                     => 24
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 12
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)                                     => 120
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                     => 144
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => 168
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                     => 24
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                               => 16
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => 12
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                     => 120
([(2,6),(3,6),(4,5)],7)                                                       => 120
([(2,6),(3,5),(4,5),(4,6)],7)                                                 => 200
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                           => 36
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)                                     => 24
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                                     => 36
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 8
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)                                     => 8
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 12
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => 16
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => 280
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                                     => 48
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)                               => 32
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)                         => 14
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                   => 20
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => 48
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                               => 10
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                         => 16
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => 360
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 60
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => 36
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 60
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)                   => 18
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => 24
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                               => 60
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                   => 12
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)                         => 60
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)                   => 12
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => 60
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                         => 48
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)                   => 48
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 72
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                   => 48
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                         => 42
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                   => 48
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                     => 48
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                               => 28
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                     => 48
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)                               => 10
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)                         => 10
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)                         => 10
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => 48
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)                         => 10
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => 48
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                               => 10
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)                               => 48
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => 48
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)                         => 42
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 72
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                         => 48
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => 42
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                         => 42
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                         => 42
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 36
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                         => 42
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => 36
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)                                           => 36
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)                                     => 72
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)                                     => 8
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => 36
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => 8
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                               => 36
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)                                     => 42
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                               => 48
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => 78
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 102
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => 72
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)                               => 36
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 72
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 42
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)                                     => 30
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 36
([(2,6),(3,6),(4,5),(6,4)],7)                                                 => 24
([(2,6),(3,5),(4,5),(5,6)],7)                                                 => 120
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                           => 24
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)                                     => 12
([(1,6),(2,6),(3,4),(6,5)],7)                                                 => 24
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                           => 16
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                           => 48
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)                                     => 10
([(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)                                     => 12
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)                                     => 32
([(2,6),(3,6),(4,5),(4,6)],7)                                                 => 200
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                           => 36
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                     => 20
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                           => 36
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                                     => 36
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                     => 8
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 14
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                     => 32
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)                               => 10
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                         => 16
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                     => 8
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)                               => 8
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)                               => 8
([(1,6),(2,6),(3,4),(3,5)],7)                                                 => 120
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                           => 16
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                           => 36
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => 60
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)                               => 12
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)                                     => 8
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)                                           => 24
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)                                     => 12
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)                                     => 12
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                               => 28
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                           => 172
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                     => 32
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                     => 32
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                               => 32
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                               => 32
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => 32
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)                                           => 120
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)                                     => 12
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)                                     => 32
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)                               => 20
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                         => 36
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                     => 156
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)                                     => 24
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)                               => 24
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)                               => 6
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                     => 120
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                               => 24
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)                         => 24
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)                         => 6
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                               => 120
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                         => 24
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                   => 24
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => 120
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                           => 120
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)                                     => 24
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                     => 120
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)                               => 24
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)                                           => 24
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)                                     => 4
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)                                     => 8
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)                               => 12
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)                               => 8
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)                         => 12
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)                                     => 24
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)                                     => 24
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                               => 24
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                                     => 36
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)                                     => 6
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)                               => 6
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)                               => 8
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)                         => 8
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)                   => 12
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)                         => 13
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                               => 6
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)                         => 4
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)                   => 4
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)                               => 6
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)                         => 6
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)                         => 10
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)                   => 10
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)                               => 11
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)                         => 11
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)                         => 3
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)                                     => 24
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)                               => 24
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)                               => 24
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                         => 24
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                               => 30
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)                               => 24
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                         => 24
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                   => 24
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)                                     => 24
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)                               => 4
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)                               => 24
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)                               => 30
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                         => 36
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)                               => 6
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)                         => 4
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)                               => 24
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)                                     => 24
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)                               => 24
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                         => 24
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)                               => 6
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                         => 6
([(2,6),(3,6),(4,5),(5,6)],7)                                                 => 120
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                           => 24
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)                                     => 12
([(1,6),(2,6),(3,4),(4,5)],7)                                                 => 24
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                           => 6
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                           => 24
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)                                     => 6
([(0,6),(1,6),(2,3),(3,5),(6,4)],7)                                           => 6
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)                                     => 4
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)                                     => 10
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                           => 36
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)                                     => 8
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)                                     => 8
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)                               => 8
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)                                           => 24
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)                                     => 4
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)                                     => 8
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)                               => 12
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)                                     => 24
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                               => 24
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => 32
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => 24
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                               => 24
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                         => 24
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => 24
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => 24
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                   => 24
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)                                           => 6
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)                                     => 2
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                                     => 6
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)                               => 2
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                           => 24
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)                                     => 6
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)                                           => 6
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)                                     => 2
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)                                     => 6
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)                                     => 6
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                               => 6
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)                                     => 8
([(1,6),(2,6),(3,5),(4,5)],7)                                                 => 120
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                           => 162
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)                                     => 30
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)                               => 30
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => 204
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                               => 36
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                         => 36
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 36
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                     => 204
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => 36
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => 36
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => 246
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                         => 42
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                   => 42
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                         => 42
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => 288
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                   => 48
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)             => 48
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                     => 30
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                           => 24
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                                     => 16
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)                                     => 6
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)                               => 4
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                           => 120
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                     => 24
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)                                           => 24
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)                                     => 16
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)                               => 12
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)                                     => 36
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)                                     => 24
([(0,6),(1,6),(2,5),(3,4)],7)                                                 => 24
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)                                           => 6
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)                                     => 4
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)                                     => 10
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)                                           => 24
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                                     => 36
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)                                     => 6
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)                                     => 24
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)                                           => 36
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)                                     => 8
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)                                     => 36
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)                                     => 36
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)                               => 8
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 36
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => 36
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                               => 36
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)                                     => 58
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                               => 36
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 82
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => 58
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)                                     => 30
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)                                     => 30
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 36
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)                                           => 52
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)                                     => 48
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 78
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 108
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)                               => 10
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                               => 42
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)                                     => 10
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 30
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                               => 42
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)                                     => 8
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)                               => 6
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)                               => 12
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => 30
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)                                     => 82
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)                                     => 52
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)                               => 11
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)                         => 8
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 52
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)                                     => 80
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)                               => 54
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)                         => 84
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => 108
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 132
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)                         => 42
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)                         => 48
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                   => 48
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                         => 48
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                   => 72
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 96
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                   => 72
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => 96
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => 120
([(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) => 144
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)                         => 54
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)                         => 12
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)                               => 12
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)                         => 8
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)                               => 36
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                         => 48
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                               => 104
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => 128
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)                               => 16
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)                         => 12
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                         => 16
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)                         => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)                   => 6
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)             => 8
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                               => 80
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                         => 16
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                   => 12
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => 80
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)                                     => 11
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 8
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)                                     => 52
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)                                           => 24
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)                                     => 6
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)                                     => 24
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)                                     => 24
([(0,6),(1,5),(2,5),(3,4),(4,6)],7)                                           => 24
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)                                     => 6
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)                                     => 6
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)                               => 4
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)                               => 10
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                     => 24
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)                                     => 30
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)                                     => 6
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => 4
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)                                     => 24
([(3,6),(4,5)],7)                                                             => 120
([(3,6),(4,5),(4,6)],7)                                                       => 300
([(2,6),(3,4),(3,6),(4,5)],7)                                                 => 52
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                           => 46
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)                                     => 42
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)                               => 14
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)                         => 10
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                   => 18
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)                                     => 17
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                               => 28
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)                               => 4
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)                                     => 10
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)                               => 6
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)                         => 14
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                           => 52
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)                                     => 11
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)                               => 6
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                           => 11
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)                                     => 22
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)                                     => 8
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)                               => 16
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                           => 11
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)                                     => 11
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)                               => 3
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)                                     => 3
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)                               => 5
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)                               => 5
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)                                     => 10
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)                               => 4
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)                         => 6
([(3,5),(3,6),(4,5),(4,6)],7)                                                 => 480
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                           => 80
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                                     => 60
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)                               => 48
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                     => 80
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => 16
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                                     => 16
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => 28
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => 40
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)                               => 12
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)                         => 20
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)                         => 8
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)                   => 16
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)             => 24
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                           => 80
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                                     => 132
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                               => 24
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => 24
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => 24
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                   => 24
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 184
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)                         => 32
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                   => 32
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => 32
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                   => 32
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => 32
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)                               => 24
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                                     => 16
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)                               => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)                         => 6
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)                   => 8
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)                   => 8
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)                         => 6
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)                         => 6
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => 80
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => 16
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => 80
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                         => 16
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                               => 16
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)                         => 22
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)                               => 16
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)                         => 16
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)                                     => 16
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)                               => 12
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)                         => 12
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)                               => 34
([(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)                         => 22
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => 28
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => 60
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)                               => 12
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => 60
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                         => 12
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)                         => 12
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)                   => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)                               => 12
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)                         => 28
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                   => 16
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => 112
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)                   => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)                         => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)                   => 20
([(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)                               => 60
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)                   => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)                               => 12
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)                         => 12
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)                         => 12
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)                   => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)                         => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)                   => 14
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)                                     => 80
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)                               => 12
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)                         => 8
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)                         => 6
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)                   => 8
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)                               => 26
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => 44
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)                         => 20
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => 20
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => 26
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => 32
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)                               => 68
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)                         => 20
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)                   => 36
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                         => 104
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)                         => 56
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                   => 44
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)                               => 16
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)                         => 16
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)                         => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)                               => 48
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                         => 60
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)                   => 12
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)             => 12
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)                         => 10
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)                   => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)                         => 36
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)                         => 36
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => 42
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => 48
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                                     => 48
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)                               => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)                               => 10
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)                         => 10
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => 60
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)                   => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)                                     => 16
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)                               => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)                         => 4
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)                         => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)                         => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)                               => 16
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)                         => 16
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)                               => 16
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                         => 16
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)                               => 12
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)                         => 20
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)                         => 12
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)                               => 10
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                         => 10
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                   => 10
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)                         => 12
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                   => 12
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)             => 12
([(2,6),(3,4),(3,6),(6,5)],7)                                                 => 52
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                           => 38
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)                                     => 30
([(2,6),(3,4),(3,5)],7)                                                       => 120
([(2,6),(3,4),(3,5),(3,6)],7)                                                 => 260
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                           => 46
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)                                     => 42
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)                               => 16
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)                         => 26
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => 46
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)                               => 10
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)                                     => 10
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)                               => 20
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                                     => 46
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => 46
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)                         => 10
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)                               => 10
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)                         => 14
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)                               => 10
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)                         => 10
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)                                     => 10
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)                               => 19
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)                         => 13
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => 17
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)                         => 13
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)                         => 28
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)                   => 16
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => 20
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)                               => 10
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)                         => 14
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                           => 46
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)                                     => 36
([(1,6),(2,3),(2,4),(2,5)],7)                                                 => 120
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                           => 234
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)                                     => 42
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)                               => 42
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)                               => 42
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => 42
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)                         => 42
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 42
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)                                     => 42
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)                                           => 120
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                     => 216
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)                                     => 24
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)                                     => 120
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)                               => 24
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                               => 120
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)                         => 24
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => 120
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)                   => 24
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => 120
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)                                     => 42
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)                               => 36
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)                         => 30
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                   => 48
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)                                           => 24
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)                                     => 24
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                           => 120
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)                                     => 24
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                                     => 24
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)                               => 6
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => 120
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                               => 24
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                               => 24
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)                         => 6
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => 120
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                         => 24
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                               => 24
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)                         => 24
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                         => 24
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                         => 30
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)                                     => 24
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)                               => 24
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)                               => 24
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                               => 36
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)                               => 6

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Created: Feb 15, 2018 at 21:19 by Martin Rubey

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Last Updated: Feb 15, 2018 at 21:19 by Martin Rubey