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------------------------------------------------------------------------
Map identifier: Mp00307

------------------------------------------------------------------------
Map name: promotion cycle type

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

------------------------------------------------------------------------
Codomain: Integer partitions

------------------------------------------------------------------------
Description: The cycle type of promotion on the linear extensions of a poset. 

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

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

def mapping(P):
    P = P.canonical_label()
    if len(P.connected_components()) > 6:
        raise ValueError("Poset has too many connected components for this map")
    J = P.linear_extensions()
    I = iter(J)
    try:
        for i in range(721):
            _ = next(I)
        raise ValueError("Poset has too many linear extensions for this map")
    except StopIteration:
        pass
    D = DiscreteDynamicalSystem(J, lambda I: I.promotion(), inverse=True, is_finite=True)
    return Partition(sorted([len(o) for o in D.cycles()], reverse=True))

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

([],1)                                                                        => [1]
([],2)                                                                        => [2]
([(0,1)],2)                                                                   => [1]
([],3)                                                                        => [3,3]
([(1,2)],3)                                                                   => [3]
([(0,1),(0,2)],3)                                                             => [2]
([(0,2),(2,1)],3)                                                             => [1]
([(0,2),(1,2)],3)                                                             => [2]
([],4)                                                                        => [4,4,4,4,4,4]
([(2,3)],4)                                                                   => [4,4,4]
([(1,2),(1,3)],4)                                                             => [8]
([(0,1),(0,2),(0,3)],4)                                                       => [3,3]
([(0,2),(0,3),(3,1)],4)                                                       => [3]
([(0,1),(0,2),(1,3),(2,3)],4)                                                 => [2]
([(1,2),(2,3)],4)                                                             => [4]
([(0,3),(3,1),(3,2)],4)                                                       => [2]
([(1,3),(2,3)],4)                                                             => [8]
([(0,3),(1,3),(3,2)],4)                                                       => [2]
([(0,3),(1,3),(2,3)],4)                                                       => [3,3]
([(0,3),(1,2)],4)                                                             => [4,2]
([(0,3),(1,2),(1,3)],4)                                                       => [3,2]
([(0,2),(0,3),(1,2),(1,3)],4)                                                 => [2,2]
([(0,3),(2,1),(3,2)],4)                                                       => [1]
([(0,3),(1,2),(2,3)],4)                                                       => [3]
([],5)                                                                        => [5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5]
([(3,4)],5)                                                                   => [5,5,5,5,5,5,5,5,5,5,5,5]
([(2,3),(2,4)],5)                                                             => [10,10,10,10]
([(1,2),(1,3),(1,4)],5)                                                       => [15,15]
([(0,1),(0,2),(0,3),(0,4)],5)                                                 => [4,4,4,4,4,4]
([(0,2),(0,3),(0,4),(4,1)],5)                                                 => [4,4,4]
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)                                           => [8]
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)                                     => [3,3]
([(1,3),(1,4),(4,2)],5)                                                       => [15]
([(0,3),(0,4),(4,1),(4,2)],5)                                                 => [8]
([(1,2),(1,3),(2,4),(3,4)],5)                                                 => [5,5]
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)                                           => [2]
([(0,3),(0,4),(3,2),(4,1)],5)                                                 => [4,2]
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)                                           => [3,2]
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)                                     => [2,2]
([(2,3),(3,4)],5)                                                             => [5,5,5,5]
([(1,4),(4,2),(4,3)],5)                                                       => [5,5]
([(0,4),(4,1),(4,2),(4,3)],5)                                                 => [3,3]
([(2,4),(3,4)],5)                                                             => [10,10,10,10]
([(1,4),(2,4),(4,3)],5)                                                       => [5,5]
([(0,4),(1,4),(4,2),(4,3)],5)                                                 => [2,2]
([(1,4),(2,4),(3,4)],5)                                                       => [15,15]
([(0,4),(1,4),(2,4),(4,3)],5)                                                 => [3,3]
([(0,4),(1,4),(2,4),(3,4)],5)                                                 => [4,4,4,4,4,4]
([(0,4),(1,4),(2,3)],5)                                                       => [10,10]
([(0,4),(1,3),(2,3),(2,4)],5)                                                 => [12,4]
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                           => [14]
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                     => [6,6]
([(0,4),(1,4),(2,3),(4,2)],5)                                                 => [2]
([(0,4),(1,3),(2,3),(3,4)],5)                                                 => [8]
([(0,4),(1,4),(2,3),(2,4)],5)                                                 => [10,4,4]
([(0,4),(1,4),(2,3),(3,4)],5)                                                 => [4,4,4]
([(1,4),(2,3)],5)                                                             => [5,5,5,5,5,5]
([(1,4),(2,3),(2,4)],5)                                                       => [15,5,5]
([(0,4),(1,2),(1,4),(2,3)],5)                                                 => [5,4]
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)                                           => [3,2]
([(1,3),(1,4),(2,3),(2,4)],5)                                                 => [5,5,5,5]
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)                                           => [6]
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)                                     => [2,2]
([(0,4),(1,2),(1,4),(4,3)],5)                                                 => [7]
([(0,4),(1,2),(1,3)],5)                                                       => [10,10]
([(0,4),(1,2),(1,3),(1,4)],5)                                                 => [10,4,4]
([(0,2),(0,4),(3,1),(4,3)],5)                                                 => [4]
([(0,4),(1,2),(1,3),(3,4)],5)                                                 => [4,4,3]
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)                                           => [3]
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)                                           => [8]
([(0,3),(0,4),(1,2),(1,4)],5)                                                 => [12,4]
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                           => [14]
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                     => [6,6]
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)                                           => [5,3]
([(0,3),(1,2),(1,4),(3,4)],5)                                                 => [5,4]
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)                                           => [6]
([(1,4),(3,2),(4,3)],5)                                                       => [5]
([(0,3),(3,4),(4,1),(4,2)],5)                                                 => [2]
([(1,4),(2,3),(3,4)],5)                                                       => [15]
([(0,4),(1,2),(2,4),(4,3)],5)                                                 => [3]
([(0,3),(1,4),(4,2)],5)                                                       => [5,5]
([(0,4),(3,2),(4,1),(4,3)],5)                                                 => [3]
([(0,4),(1,2),(2,3),(2,4)],5)                                                 => [7]
([(0,4),(2,3),(3,1),(4,2)],5)                                                 => [1]
([(0,3),(1,2),(2,4),(3,4)],5)                                                 => [4,2]
([(0,4),(1,2),(2,3),(3,4)],5)                                                 => [4]
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)                                           => [2]
([],6)                                                                        => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(4,5)],6)                                                                   => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(3,4),(3,5)],6)                                                             => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
([(2,3),(2,4),(2,5)],6)                                                       => [18,18,18,18,18,18,18,18,18,18]
([(1,2),(1,3),(1,4),(1,5)],6)                                                 => [24,24,24,24,24,24]
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)                                           => [5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5]
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)                                           => [5,5,5,5,5,5,5,5,5,5,5,5]
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)                                     => [10,10,10,10]
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)                               => [15,15]
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)                         => [4,4,4,4,4,4]
([(1,3),(1,4),(1,5),(5,2)],6)                                                 => [24,24,24]
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)                                           => [10,10,10,10]
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                           => [48]
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                                     => [18,18]
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)                               => [3,3]
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)                                     => [10,10]
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)                               => [12,4]
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => [14]
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                   => [6,6]
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)                               => [10,4,4]
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)                               => [8]
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)                                     => [5,5]
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)                                           => [5,5,5,5,5,5]
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)                                     => [15,5,5]
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)                               => [5,5,5,5]
([(2,3),(2,4),(4,5)],6)                                                       => [18,18,18,18,18]
([(1,4),(1,5),(5,2),(5,3)],6)                                                 => [48]
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)                                           => [15,15]
([(2,3),(2,4),(3,5),(4,5)],6)                                                 => [6,6,6,6,6,6,6,6,6,6]
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                           => [12]
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)                                     => [2,2]
([(1,4),(1,5),(4,3),(5,2)],6)                                                 => [24,12]
([(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => [18,12]
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => [12,12]
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)                               => [6]
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => [2,2]
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)                                     => [7]
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)                                           => [10,10]
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)                                     => [10,4,4]
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)                                     => [12,4]
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)                               => [14]
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => [6,6]
([(3,4),(4,5)],6)                                                             => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(2,3),(3,4),(3,5)],6)                                                       => [6,6,6,6,6,6,6,6,6,6]
([(1,5),(5,2),(5,3),(5,4)],6)                                                 => [18,18]
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)                                           => [4,4,4,4,4,4]
([(2,3),(3,5),(5,4)],6)                                                       => [6,6,6,6,6]
([(1,4),(4,5),(5,2),(5,3)],6)                                                 => [12]
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)                                           => [3,3]
([(3,5),(4,5)],6)                                                             => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
([(2,5),(3,5),(5,4)],6)                                                       => [6,6,6,6,6,6,6,6,6,6]
([(1,5),(2,5),(5,3),(5,4)],6)                                                 => [12,12]
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)                                           => [6,6]
([(2,5),(3,5),(4,5)],6)                                                       => [18,18,18,18,18,18,18,18,18,18]
([(1,5),(2,5),(3,5),(5,4)],6)                                                 => [18,18]
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)                                           => [6,6]
([(1,5),(2,5),(3,5),(4,5)],6)                                                 => [24,24,24,24,24,24]
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)                                           => [4,4,4,4,4,4]
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)                                           => [5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5]
([(0,5),(1,5),(2,5),(3,4)],6)                                                 => [18,18,18,18,9,9]
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)                                           => [3,3]
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)                                           => [15,15]
([(0,5),(1,5),(2,5),(3,4),(3,5)],6)                                           => [18,18,9,9,5,5,5,5,5,5]
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)                                           => [5,5,5,5,5,5,5,5,5,5,5,5]
([(1,5),(2,5),(3,4)],6)                                                       => [12,12,12,12,12,12,12,12,12,12]
([(1,5),(2,4),(3,4),(3,5)],6)                                                 => [72,24]
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)                                           => [14,6,3,3]
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)                                     => [12,4]
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                           => [84]
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)                                     => [18,3,3]
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                               => [14]
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => [36,36]
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                               => [3,3,3,3,3,3]
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                         => [6,6]
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                     => [8,3,3,3,3]
([(1,5),(2,5),(3,4),(5,3)],6)                                                 => [12]
([(1,5),(2,4),(3,4),(4,5)],6)                                                 => [48]
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)                                           => [8]
([(0,5),(1,5),(2,3),(5,4)],6)                                                 => [6,6,6,6,3,3]
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)                                           => [6]
([(0,5),(1,5),(2,4),(5,3),(5,4)],6)                                           => [8,5,5]
([(1,5),(2,5),(3,4),(3,5)],6)                                                 => [24,24,12,12,12,12,12]
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)                                           => [18,3,3]
([(0,5),(1,5),(2,3),(2,5),(3,4)],6)                                           => [12,12,5,5,4]
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                                     => [10,4,4]
([(0,5),(1,5),(2,3),(2,4)],6)                                                 => [12,12,12,12,12,12,4,4]
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)                                           => [2,2]
([(0,4),(1,4),(2,3),(2,5),(4,5)],6)                                           => [10,6,6,3,3]
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => [8,8]
([(0,5),(1,5),(2,3),(2,4),(2,5)],6)                                           => [12,12,12,12,5,5,5,5,4,4]
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)                                           => [5,5,5,4]
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)                                     => [5,5]
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)                                     => [4,2]
([(0,5),(1,5),(2,3),(2,4),(4,5)],6)                                           => [22,5,5,5,5,5,5]
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                     => [15]
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)                               => [8]
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                     => [10,10,10,10]
([(1,5),(2,5),(3,4),(4,5)],6)                                                 => [24,24,24]
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)                                           => [4,4,4]
([(0,5),(1,5),(2,3),(3,4)],6)                                                 => [12,12,12,4]
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)                                           => [2]
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)                                           => [10,10]
([(0,5),(1,4),(3,5),(4,2),(4,3)],6)                                           => [14]
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                                     => [8]
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)                                           => [14,14,4]
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)                                           => [5,5,5,5]
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => [5,5]
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                               => [3,3]
([(0,5),(1,5),(2,4),(3,4)],6)                                                 => [12,12,12,12,12,12,4,4]
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)                                           => [26,26,5,5,4,4]
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => [14,14,14,14,4,4]
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                     => [14,14,8,8,4,4,4,4]
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                               => [15,15,4,4,4,4,4,4]
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                         => [4,4,4,4,4,4,4,4,4,4,4,4]
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)                                           => [5,5]
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                     => [2,2]
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)                                           => [10,10,10,10]
([(2,5),(3,4)],6)                                                             => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(2,5),(3,4),(3,5)],6)                                                       => [18,18,18,18,18,6,6,6,6,6,6,6,6,6,6]
([(1,5),(2,3),(2,5),(3,4)],6)                                                 => [24,6,6,6,6,6]
([(0,5),(1,4),(1,5),(4,2),(4,3)],6)                                           => [10,6,6,3,3]
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)                                     => [8,4,2]
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)                               => [6,2,2]
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                           => [18,12]
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)                                     => [3,2]
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)                                           => [14,2]
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)                                     => [10,2]
([(2,4),(2,5),(3,4),(3,5)],6)                                                 => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                           => [36]
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)                                     => [8,8]
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => [12,12]
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)                                     => [4,4,2,2]
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)                               => [6,2,2]
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)                         => [2,2,2,2]
([(0,4),(0,5),(1,4),(1,5),(2,3)],6)                                           => [6,6,6,6,6,6,6,6,3,3,3,3]
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)                                     => [4,4]
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)                               => [2,2]
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)                               => [6]
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)                                     => [28]
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                               => [5,5,5,5]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                     => [14,14,6,6,3,3,3,3]
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)                               => [8,8,3,3]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => [18,18,3,3,3,3]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                               => [26,4]
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)                                     => [14,14,4]
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                               => [4,4,4,4,4,4]
([(1,5),(2,3),(2,5),(5,4)],6)                                                 => [42]
([(0,5),(1,2),(1,5),(5,3),(5,4)],6)                                           => [8,5,5]
([(1,5),(2,3),(2,4)],6)                                                       => [12,12,12,12,12,12,12,12,12,12]
([(1,5),(2,3),(2,4),(2,5)],6)                                                 => [24,24,12,12,12,12,12]
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)                                           => [18,9,5,5,5]
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => [18,5]
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                                     => [10,6,6,3,3]
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => [10,4,4]
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)                                           => [14,14,4]
([(0,5),(1,2),(1,3),(1,4)],6)                                                 => [18,18,18,18,9,9]
([(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                           => [18,18,9,9,5,5,5,5,5,5]
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)                                           => [5,5,5,5]
([(0,5),(1,2),(1,3),(1,4),(4,5)],6)                                           => [22,5,5,5,5,5,5]
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)                                     => [15]
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                     => [10,10,10,4,4]
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)                               => [4,4,4]
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                               => [15,15]
([(0,4),(1,2),(1,3),(1,5),(4,5)],6)                                           => [12,12,5,5,4]
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)                                     => [18,3,3]
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => [3,3,3,3,3,3]
([(1,3),(1,5),(4,2),(5,4)],6)                                                 => [24]
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)                                           => [5,5]
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)                                           => [5,5]
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)                                     => [5,4]
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)                               => [3,2]
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)                                     => [5,4]
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)                               => [5,3]
([(1,5),(2,3),(2,4),(4,5)],6)                                                 => [24,24,18]
([(0,5),(1,2),(1,3),(3,5),(5,4)],6)                                           => [14]
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                           => [18]
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)                                     => [3]
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                           => [48]
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                     => [8]
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)                                           => [11,5,5,5]
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                                     => [13,5,3]
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                               => [8,5,5]
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)                                     => [4,4,3]
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)                                     => [4,4,3]
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                     => [18,5]
([(0,4),(1,3),(1,5),(5,2)],6)                                                 => [18,18,9]
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)                                           => [15]
([(0,5),(1,3),(1,4),(4,2),(4,5)],6)                                           => [29,4]
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)                                           => [11,5,5,5]
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)                                     => [4]
([(0,4),(1,2),(1,3),(2,5),(3,5)],6)                                           => [6,6,6,6,3,3]
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)                                     => [10,10]
([(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)                                     => [5,5]
([(1,4),(1,5),(2,3),(2,5)],6)                                                 => [72,24]
([(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                           => [84]
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                                     => [15,4,4,4]
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)                               => [8,5,5]
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => [36,36]
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                               => [4,4,4,4,4,4]
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)                         => [8,8]
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                   => [6,6]
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)                                     => [14,14,4]
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)                               => [16,3]
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                         => [14]
([(0,4),(0,5),(1,3),(1,5),(5,2)],6)                                           => [14,8,4,4]
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                           => [18,6,6,6,6,6]
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)                                     => [13,2]
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)                                     => [8,3]
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)                               => [5,3]
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)                                           => [26,5,4]
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)                                     => [13,5,3]
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)                                     => [8,6,4,3,3]
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)                               => [8,3,2]
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)                                     => [11,11]
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)                               => [12,4]
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)                                     => [6,4,3]
([(0,4),(0,5),(1,2),(1,3)],6)                                                 => [12,12,12,12,12,12,4,4]
([(0,4),(0,5),(1,2),(1,3),(1,5)],6)                                           => [26,26,5,5,4,4]
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                     => [14,14,14,14,4,4]
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)                                     => [28,9]
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                               => [6,6,4,4,3,3]
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)                                     => [14,14,8,8,4,4,4,4]
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                               => [15,15,4,4,4,4,4,4]
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                         => [4,4,4,4,4,4,4,4,4,4,4,4]
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)                               => [26,4]
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)                                     => [29,4]
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)                               => [8,8,3,3]
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)                                           => [21,9,5,5]
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)                                     => [28]
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)                               => [6]
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)                                     => [7]
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)                                     => [10,6,6,3,3]
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)                                     => [11,11]
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)                               => [16,3]
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                         => [8,8]
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)                                     => [6,6,4,2]
([(1,4),(2,3),(2,5),(4,5)],6)                                                 => [24,6,6,6,6,6]
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)                                           => [9,3]
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                           => [36]
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)                                     => [3,3,3]
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                               => [6]
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)                                           => [6,6,5,2]
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)                                     => [5,4]
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)                                     => [13,2]
([(0,5),(1,3),(1,4),(5,2)],6)                                                 => [12,12,12,4]
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)                                           => [5]
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)                                           => [8]
([(0,4),(1,3),(1,5),(4,2),(4,5)],6)                                           => [14,6,3,3]
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)                                     => [8,3,3,3,3]
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)                                     => [8,3]
([(2,5),(3,4),(4,5)],6)                                                       => [18,18,18,18,18]
([(1,5),(2,3),(3,5),(5,4)],6)                                                 => [18]
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)                                           => [6]
([(1,3),(2,4),(4,5)],6)                                                       => [6,6,6,6,6,6,6,6,6,6]
([(1,5),(4,3),(5,2),(5,4)],6)                                                 => [18]
([(1,5),(2,3),(3,4),(3,5)],6)                                                 => [42]
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)                                           => [4,3,3]
([(0,4),(1,5),(5,2),(5,3)],6)                                                 => [6,6,6,6,3,3]
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)                                           => [4,4,4]
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)                                           => [18,3,3]
([(1,5),(3,4),(4,2),(5,3)],6)                                                 => [6]
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)                                           => [2]
([(1,4),(2,3),(3,5),(4,5)],6)                                                 => [24,12]
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)                                           => [4,2]
([(0,5),(1,4),(4,2),(5,3)],6)                                                 => [6,6,6,2]
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)                                           => [4]
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)                                           => [14,2]
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)                                     => [4,4,2,2]
([(1,5),(2,3),(3,4),(4,5)],6)                                                 => [24]
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                           => [12]
([(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)                                           => [4]
([(0,5),(1,4),(2,3)],6)                                                       => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3]
([(0,5),(1,3),(2,4),(2,5)],6)                                                 => [18,18,9,6,6,6,6,3,3]
([(0,5),(1,4),(2,3),(2,4),(2,5)],6)                                           => [26,9,9,6,5,5,3,3]
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)                                           => [6,5,3]
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)                                     => [5,4]
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)                                           => [21,9,5,5]
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)                                     => [7]
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                     => [15,5,5]
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)                                           => [5,4]
([(0,5),(1,4),(2,3),(2,4),(4,5)],6)                                           => [29,4]
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)                                           => [20,20,6,5,4,3,3]
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => [14,14,6,6,3,3,3,3]
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                               => [18,18,3,3,3,3]
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)                                     => [8,8,8,4,4,4,3,3,3,3]
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)                               => [8,8,6,4,3,3,3,3,3,3]
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                         => [8,8,3,3,3,3,3,3,3,3]
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                   => [3,3,3,3,3,3,3,3,3,3,3,3]
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)                                     => [8,6,4,3,3]
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => [20,9,9,9,4,3,3]
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                     => [28,9]
([(0,5),(1,4),(1,5),(2,3),(2,5)],6)                                           => [26,9,9,6,5,5,3,3]
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)                                     => [29,4]
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)                                           => [26,5,4]
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                     => [15,4,4,4]
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)                                           => [6,5,3]
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)                                     => [4,4]
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)                               => [2,2]
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)                                     => [3,2]
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)                                           => [18,9,5,5,5]
([(0,5),(1,3),(4,2),(5,4)],6)                                                 => [6,6,3]
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)                                           => [4,2]
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)                                           => [9,3]
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)                                     => [7]
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)                                           => [3]
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)                                           => [5,4]
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)                                           => [1]
([(0,5),(1,3),(2,4),(4,5)],6)                                                 => [18,18,9]
([(0,5),(1,4),(2,3),(3,4),(3,5)],6)                                           => [14,8,4,4]
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)                                           => [3]
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)                                           => [15]
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)                                           => [5]
([(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)                                           => [5,5]
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)                                     => [3]
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)                                           => [5,5,5,5,5,5]
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)                                     => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)                                     => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)                               => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)                         => [18,18,18,18,18,18,18,18,18,18]
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)                   => [24,24,24,24,24,24]
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)             => [5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5]
([(1,3),(1,4),(1,5),(1,6),(6,2)],7)                                           => [35,35,35,35,35,35,35,35,35,35,35,35]
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)                                     => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                                     => [35,35,35,35,35,35,35,35]
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                               => [35,35,35,35,35,35]
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                         => [14,14,14,14,14,14,14,14,14,14,14,14]
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)                   => [4,4,4,4,4,4]
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)                         => [18,18,18,18,9,9]
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)                   => [18,18,9,9,5,5,5,5,5,5]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                   => [15,15]
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)                         => [18,18]
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)                               => [12,12,12,12,12,12,12,12,12,12]
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)                         => [72,24]
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => [84]
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => [36,36]
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)                         => [24,24,12,12,12,12,12]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)                         => [12,12,12,12,12,12,4,4]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                   => [26,26,5,5,4,4]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => [14,14,14,14,4,4]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)             => [14,14,8,8,4,4,4,4]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)       => [15,15,4,4,4,4,4,4]
([(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) => [4,4,4,4,4,4,4,4,4,4,4,4]
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                   => [10,10,10,10]
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)                         => [48]
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)                               => [6,6,6,6,6,6,6,6,6,6]
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)                                     => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)                               => [18,18,18,18,18,6,6,6,6,6,6,6,6,6,6]
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)                         => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(2,4),(2,5),(2,6),(6,3)],7)                                                 => [28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28]
([(1,4),(1,5),(1,6),(6,2),(6,3)],7)                                           => [35,35,35,35,35,35,35,35]
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)                                     => [18,18,18,18,18,18,18,18,18,18]
([(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                           => [56,56,56,56,56,56]
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                                     => [21,21,21,21,21,21,21,21,21,21,21,21]
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                               => [7,7,7,7,7,7]
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)                         => [6,6]
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                                     => [35,35,35,35]
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                               => [14,14,14,14,14,14,14,14]
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => [49,49]
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => [7,7,7,7,7,7,7,7,7,7,7,7]
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)             => [3,3,3,3,3,3]
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)       => [6,6]
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)                   => [18,3,3]
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)             => [14]
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                   => [8,3,3,3,3]
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)                         => [14,6,3,3]
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                   => [12,4]
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                               => [35,35,14,14,14,14]
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)                         => [18,3,3]
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)                               => [12,12,12,12,12,12,4,4]
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)                         => [12,12,12,12,5,5,5,5,4,4]
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)                         => [10,6,6,3,3]
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => [8,8]
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)                               => [28,28]
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)                         => [8]
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)                               => [6,6,6,6,3,3]
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)                         => [8,5,5]
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                                     => [35,35]
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)                               => [12,12]
([(1,4),(1,5),(1,6),(5,3),(6,2)],7)                                           => [35,35,35,35,35,35]
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                                     => [35,35,35,35,35]
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)                               => [35,35,35,35]
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)                         => [6,6,6,6,6,6,6,6,3,3,3,3]
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)                   => [14,14,6,6,3,3,3,3]
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)             => [18,18,3,3,3,3]
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)             => [8,8,3,3]
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                   => [28]
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)             => [5,5,5,5]
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)                         => [36]
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => [12,12]
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)                               => [42]
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)                                     => [12,12,12,12,12,12,12,12,12,12]
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)                               => [24,24,12,12,12,12,12]
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)                               => [72,24]
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => [84]
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => [36,36]
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)                                     => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3]
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)                               => [18,18,9,6,6,6,6,3,3]
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)                         => [26,9,9,6,5,5,3,3]
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)                         => [20,20,6,5,4,3,3]
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => [14,14,6,6,3,3,3,3]
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => [18,18,3,3,3,3]
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                   => [8,8,8,4,4,4,3,3,3,3]
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)             => [8,8,6,4,3,3,3,3,3,3]
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => [8,8,3,3,3,3,3,3,3,3]
([(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) => [3,3,3,3,3,3,3,3,3,3,3,3]
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                   => [20,9,9,9,4,3,3]
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                   => [8,6,4,3,3]
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)                         => [26,9,9,6,5,5,3,3]
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)                         => [29,4]
([(3,4),(3,5),(5,6)],7)                                                       => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
([(2,5),(2,6),(6,3),(6,4)],7)                                                 => [56,56,56,56,56,56]
([(1,5),(1,6),(6,2),(6,3),(6,4)],7)                                           => [35,35,35,35,35,35]
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => [24,24,24,24,24,24]
([(3,4),(3,5),(4,6),(5,6)],7)                                                 => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(2,3),(2,4),(3,6),(4,6),(6,5)],7)                                           => [14,14,14,14,14,14]
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)                                     => [7,7,7,7]
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)                               => [6,6]
([(2,5),(2,6),(5,4),(6,3)],7)                                                 => [28,28,28,28,28,28,14,14,14,14,14,14]
([(2,3),(2,4),(3,6),(4,5),(4,6)],7)                                           => [21,21,21,21,21,21,14,14,14,14,14,14]
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => [14,14,14,14,14,14,14,14,14,14,14,14]
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)                               => [7,7,7,7,7,7]
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)                         => [8,8]
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => [7,7,7,7]
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)                   => [2,2]
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)                         => [4,4,2,2]
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)                   => [6,2,2]
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => [2,2,2,2]
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)                                     => [49]
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)                               => [8,5,5]
([(1,5),(1,6),(5,4),(6,2),(6,3)],7)                                           => [35,35,35,35]
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)                                     => [35,35,14,14,14,14]
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)                               => [14,14,4]
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)                                     => [18,18,18,18,9,9]
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)                               => [18,18,9,9,5,5,5,5,5,5]
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)                                     => [14,14,14,14,14,14,14,14]
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)                               => [49,49]
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => [7,7,7,7,7,7,7,7,7,7,7,7]
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)                   => [4,4,4,4,4,4]
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)             => [8,8]
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)       => [6,6]
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)                         => [15,4,4,4]
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)                   => [8,5,5]
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)                               => [14,8,4,4]
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)                                     => [12,12,12,12,12,12,4,4]
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)                               => [26,26,5,5,4,4]
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)                         => [14,14,14,14,4,4]
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)                         => [14,14,8,8,4,4,4,4]
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)                   => [15,15,4,4,4,4,4,4]
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)             => [4,4,4,4,4,4,4,4,4,4,4,4]
([(2,3),(2,4),(3,5),(4,6),(5,6)],7)                                           => [21,21,21,21,21,21]
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)                                     => [7,7,7]
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)                               => [6]
([(3,4),(4,5),(4,6)],7)                                                       => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(2,6),(6,3),(6,4),(6,5)],7)                                                 => [21,21,21,21,21,21,21,21,21,21,21,21]
([(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                           => [14,14,14,14,14,14,14,14,14,14,14,14]
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)                                     => [5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5]
([(3,4),(4,6),(6,5)],7)                                                       => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(2,5),(5,6),(6,3),(6,4)],7)                                                 => [14,14,14,14,14,14]
([(1,5),(5,6),(6,2),(6,3),(6,4)],7)                                           => [7,7,7,7,7,7]
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)                                     => [4,4,4,4,4,4]
([(3,6),(4,6),(6,5)],7)                                                       => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(2,6),(3,6),(6,4),(6,5)],7)                                                 => [14,14,14,14,14,14,14,14,14,14,14,14]
([(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                           => [7,7,7,7,7,7,7,7,7,7,7,7]
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)                                     => [4,4,4,4,4,4,4,4,4,4,4,4]
([(2,6),(3,6),(4,6),(6,5)],7)                                                 => [21,21,21,21,21,21,21,21,21,21,21,21]
([(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                           => [7,7,7,7,7,7,7,7,7,7,7,7]
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)                                     => [3,3,3,3,3,3,3,3,3,3,3,3]
([(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                           => [14,14,14,14,14,14,14,14,14,14,14,14]
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)                                     => [4,4,4,4,4,4,4,4,4,4,4,4]
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                     => [5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5]
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                     => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,6),(2,6),(3,6),(4,5)],7)                                           => [28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28]
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                     => [4,4,4,4,4,4]
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                     => [24,24,24,24,24,24]
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                     => [28,28,28,28,28,28,28,28,28,28,28,28,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                     => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(1,6),(2,6),(3,6),(4,5)],7)                                                 => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
([(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                           => [7,7,7,7,7,7]
([(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                           => [35,35,35,35,35,35]
([(0,6),(1,6),(2,6),(3,4),(6,5)],7)                                           => [21,21,21,21,21,21]
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                     => [3,3,3,3,3,3]
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                     => [11,11,11,11,11,11]
([(1,6),(2,6),(3,6),(4,5),(4,6)],7)                                           => [35,35,35,35,35,35,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                     => [33,33,21,21]
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                     => [21,21,21,21,21,21,21,21,6,6,6,6,6,6]
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => [18,18,9,9,5,5,5,5,5,5]
([(0,6),(1,6),(2,6),(3,4),(3,5)],7)                                           => [42,42,42,42,42,42,42,42,42,42]
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                     => [6,6]
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)                                     => [21,21,21,21,18,18]
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                               => [30,30]
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => [42,42,42,42,42,42,42,42,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => [39,39,39,39,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
([(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                           => [35,35,35,35,35,35,35,35,35,35,35,35]
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                     => [5,5,5,5,5,5,5,5,5,5,5,5]
([(0,6),(1,6),(2,6),(3,4),(4,5)],7)                                           => [21,21,21,21,21,21,21,21,21,21]
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                     => [3,3]
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)                                     => [15,15]
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)                                     => [18,18,18,18,9,9]
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                     => [23,23,23,23,23,23,21,21]
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)                                     => [6,6,6,6,6]
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                               => [12]
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                         => [3,3]
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                     => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,6),(2,6),(3,5),(4,5)],7)                                           => [42,42,42,42,42,42,42,42,42,42]
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)                                     => [88,88,30,30,30,30,10,10,10,10,6,6,6,6]
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                               => [78,78,46,46,38,38]
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => [48,48,48,48,18,18,18,18,18,18]
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => [48,48,20,20,20,20,20,20,18,18,18,18]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => [44,44,44,44,44,44]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => [10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10]
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)                                     => [18,18]
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => [6,6]
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)                                     => [18,18,18,18,18,18,18,18,18,18]
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                     => [44,44,44,44,44,44,42,42,6,6,6,6,6,6]
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => [46,46,46,46,46,46,42,42]
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                     => [6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                               => [12,12]
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => [6,6]
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                     => [12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12]
([(2,6),(3,5),(4,5),(4,6)],7)                                                 => [84,84,84,84,84,84,28,28,28,28,28,28]
([(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                           => [49,49,7,7,7,7,7,7,7,7,7,7,7,7]
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)                                     => [18,18,14,14,6,6]
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                                     => [14,14,14,14,14,14,14,14]
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => [12,4]
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)                                     => [16,16,10,10]
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => [9,9,9,9,3,3]
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => [12,12,4,4]
([(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => [98,98,98,98,98,98]
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                                     => [21,21,21,21,21,21,7,7,7,7,7,7]
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)                               => [22,22,14,14]
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)                         => [16,16,3,3]
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                   => [14,14]
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                               => [49,49]
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                               => [17,17,5,5]
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                         => [11,11,3,3,3,3]
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => [42,42,42,42,42,42,42,42,42,42,42,42]
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => [24,24]
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => [7,7,7,7,7,7,7,7,7,7,7,7]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => [12,12,6,6]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)                   => [6,6,3,3,3,3,3,3]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)             => [6,6,6,6]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                               => [42,42,42,42,42,42]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                         => [12,12]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                   => [6,6]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)                         => [51,51]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)                   => [3,3,3,3,3,3]
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                   => [36,36]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                         => [42,42,18,18,18,18,18,18,18,18]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)                   => [27,27,15,15]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => [66,66,42,42]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                   => [48,48,9,9,5,5,5,5,5,5]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                         => [48,48,18,18,9,9]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                   => [10,10,10,10,10,10,10,10,10,10,10,10]
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                     => [28,28,7,7,7,7,7,7,7,7,7,7,7,7]
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                               => [26,26]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                     => [98,98,98]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)                               => [22,14]
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)                         => [14]
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)                         => [18,3,3]
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => [46,46,10,10,10,10]
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)                         => [8,3,3,3,3]
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => [84]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                               => [26]
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)                               => [114]
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => [58,58,48,48,46]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)                         => [29,29,16,16]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => [170,38,38]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                         => [53,53,42,5,5,5,5]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                               => [98,78,46,46]
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                         => [64,14,14,10,10]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                         => [68,39,39,5,5]
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => [46,39,39,19,19]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                         => [44,44,44]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                               => [46,46,46,42]
([(0,6),(1,5),(2,5),(2,6),(3,4)],7)                                           => [84,84,84,28,28,28]
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)                                     => [28,28,28,24,24,24,24,24,24,24,12,12,6,6]
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)                                     => [18,14,6]
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => [92,42,10]
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => [14,6,3,3]
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                               => [72,24]
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)                                     => [158,74,54,6,6]
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                               => [64,64,64,44]
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => [214]
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => [182,10,10]
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                         => [60,44,34,34,26,26]
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)                               => [90,14,14]
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => [156,64,28,28]
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => [94,42,17,17,5,5]
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)                                     => [44,44,44,42,6,6,6]
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => [48,20,20,20,18,18]
([(2,6),(3,6),(4,5),(6,4)],7)                                                 => [14,14,14,14,14,14]
([(2,6),(3,5),(4,5),(5,6)],7)                                                 => [56,56,56,56,56,56]
([(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                           => [28,28]
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)                                     => [8,8]
([(1,6),(2,6),(3,4),(6,5)],7)                                                 => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(1,6),(2,6),(4,5),(6,3),(6,4)],7)                                           => [7,7,7,7,7,7]
([(1,6),(2,6),(3,5),(6,4),(6,5)],7)                                           => [35,35,28,28]
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)                                     => [13,13]
([(0,6),(1,6),(2,3),(6,4),(6,5)],7)                                           => [14,14,14,14,14,14]
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)                                     => [4,4,4,4,4,4]
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)                                     => [10,10,10,10,10,10]
([(1,6),(2,6),(3,4),(3,6),(6,5)],7)                                           => [21,21,21,21,21,21,7,7,7,7,7,7]
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                     => [10,10,10,10,10,10]
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                           => [35,35,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                                     => [35,35,14,14,14,14]
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                     => [17,17,7,7,7,7]
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => [14,14,4,4,3,3]
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                     => [14,14,14,14,14,14,14,14,12,12]
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)                               => [16,16,7,7,5,5]
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)                         => [10,10,4,4,4,4]
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                     => [14,14,14,14,6,6]
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)                               => [10,4,4]
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)                               => [12,12,5,5,4]
([(1,6),(2,6),(3,4),(3,5)],7)                                                 => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
([(1,6),(2,6),(3,4),(3,5),(6,3)],7)                                           => [7,7,7,7]
([(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                           => [35,35,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                                     => [28,28,28,28]
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)                               => [24]
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)                                     => [22,14]
([(0,6),(1,6),(2,3),(2,4),(6,5)],7)                                           => [14,14,14,14,14,14,14,14,14,14]
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)                                     => [8,8]
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)                                     => [18,18,14,14,6,6]
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                               => [26,26]
([(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                           => [35,35,35,35,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                     => [17,17,17,17,14,14,14,14]
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                     => [42,42,42,42,6,6,6,6,6,6]
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                               => [26,22,22,12,12]
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                               => [14,14,14,14,14,14,14,14,12,12]
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => [12,12,12,12,5,5,5,5,4,4]
([(0,6),(1,6),(2,3),(2,4),(2,5)],7)                                           => [42,42,42,42,42,42,42,42,42,42]
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)                                     => [6,6]
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)                                     => [14,14,14,14,14,14,14,14,12,12]
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)                               => [22,22,14,14]
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                         => [24,24]
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                     => [42,42,42,42,42,42,42,42,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)                                     => [38,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)                               => [6,6,6,6,6,6,6,6,6,6]
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)                               => [24,12]
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                     => [26,26,26,26,26,26,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,5]
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                               => [18,18,18,18,5,5,5]
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)                         => [48]
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)                         => [5,5,5,5,5,5]
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                               => [38,38,12,12,12,12,12,12,12,12,12,12,12,12]
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                         => [24,24,24]
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                   => [10,10,10,10]
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                         => [18,18,18,18,18,18,18,18,18,18]
([(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                           => [77,77,35,35,35,35,35,35]
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)                                     => [28,28,4,4]
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                                     => [35,35,35,35,35,35,35,35]
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)                               => [10,10,10,10]
([(0,6),(1,6),(2,3),(2,4),(4,5)],7)                                           => [42,42,42,42,42]
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)                                     => [6]
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)                                     => [12,7,7,7,7,7,7,7,7]
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)                               => [16,16,10,3,3]
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)                               => [10,6,6,3,3]
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)                         => [8,8]
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)                                     => [26,26,12,12,12,12]
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)                                     => [71,5,5]
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                               => [48]
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                                     => [94,30,30,10,10]
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)                                     => [19,6,6,6,6,6,6]
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)                               => [5,5,5,4]
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)                               => [33,6,6,6]
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)                         => [10,6,6,3,3]
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)                   => [6,6,4,4,3,3]
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)                         => [27,6,6,6]
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                               => [11,5,5,5]
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)                         => [11,11]
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)                   => [12,4]
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)                               => [6,6,6,6,3,3]
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)                         => [5,5]
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)                         => [10,6,6,3,3]
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)                   => [10,4,4]
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)                               => [27,6,6,6,4]
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)                         => [18,12]
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)                         => [7]
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)                                     => [26,26,26,6,6,6,6,6,6,6,6,6,5,5]
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)                               => [22,5,5,5,5,5,5]
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)                               => [63]
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                         => [10,10,10,4,4]
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                               => [34,34,17,17,6,6,6,5,5]
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)                               => [18,18,18,18,18]
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                         => [48]
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                   => [15,15]
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)                                     => [14,14,14,14,14,14,14,14,14,14]
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)                               => [2,2]
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)                               => [12,12,12,12,12,12,4,4]
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)                               => [22,22,14,14,11,11,6,6,6]
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                         => [16,16,16,16,6,6,6,6,6,6]
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)                               => [12]
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)                         => [2,2]
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)                               => [6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)                                     => [38,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)                               => [10,6,6,6,6,6,6,6,6]
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)                         => [18,18]
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)                               => [24,12]
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                         => [10,10]
([(2,6),(3,6),(4,5),(5,6)],7)                                                 => [28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28]
([(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                           => [14,14,14,14,14,14]
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)                                     => [4,4,4,4,4,4]
([(1,6),(2,6),(3,4),(4,5)],7)                                                 => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
([(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                           => [7,7]
([(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                           => [35,35,35,35]
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)                                     => [10,10]
([(0,6),(1,6),(2,3),(3,5),(6,4)],7)                                           => [7,7,7,7,7,7,7,7,7,7]
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)                                     => [4,4]
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)                                     => [16,16,6,6,3,3]
([(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                           => [49,49,49,49,14,14]
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)                                     => [17,17,5,5]
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)                                     => [17,17,14,14]
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)                               => [14,14,4]
([(0,3),(1,6),(2,6),(3,4),(3,5)],7)                                           => [14,14,14,14,14,14,14,14,14,14]
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)                                     => [2,2]
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)                                     => [23,23,7,7]
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)                               => [10,10,10,10]
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)                                     => [28,28,4,4]
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                               => [10,10,10,10]
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)                                     => [17,17,17,17,14,14,14,14]
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)                                     => [29,29,11,11]
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                               => [23,23]
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                         => [15,15]
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)                               => [6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)                         => [18,18]
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                   => [4,4,4,4,4,4]
([(1,3),(2,6),(3,5),(4,6),(5,4)],7)                                           => [35]
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)                                     => [5]
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)                                     => [7,7]
([(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)                                           => [35,35,35,35]
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)                                     => [5,5,5,5]
([(0,3),(1,6),(2,6),(3,5),(5,4)],7)                                           => [14,14,14,14,14]
([(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)                                     => [12,12,12,4]
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)                                     => [17]
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                               => [8]
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)                                     => [16,16,6,6,6]
([(1,6),(2,6),(3,5),(4,5)],7)                                                 => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
([(1,6),(2,6),(3,5),(4,5),(4,6)],7)                                           => [91,91,91,91,35,35,14,14,14,14]
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)                                     => [23,23,14,14,14,14,14,14]
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)                               => [26,26,5,5,4,4]
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                     => [49,49,49,49,49,49,49,49,14,14,14,14]
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                               => [34,34,14,14,14,14]
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                         => [14,14,14,14,4,4]
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => [34,34,10,10]
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                                     => [49,49,49,49,28,28,28,28,14,14,14,14,14,14,14,14]
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                               => [27,27,21,21]
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                         => [14,14,8,8,4,4,4,4]
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                               => [35,35,35,35,35,35,14,14,14,14,14,14,14,14,14,14,14,14]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)                         => [30,30,15,15]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)                   => [15,15,4,4,4,4,4,4]
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                         => [39,39]
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                         => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)                   => [12,12,12,12,12,12]
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)             => [4,4,4,4,4,4,4,4,4,4,4,4]
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)                                     => [24,24,17,17,12,12]
([(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                           => [35,35]
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)                                     => [7,7,7,7]
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)                                     => [5,5]
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)                               => [2,2]
([(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                           => [35,35,35,35,35,35,35,35]
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                     => [10,10,10,10]
([(0,6),(1,6),(2,5),(3,5),(6,4)],7)                                           => [14,14,14,14,14,14,14,14,14,14]
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)                                     => [17,17]
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)                               => [8,8]
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)                                     => [16,16,16,16,6,6,6,6,6,6]
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)                                     => [12,12,12,12,12,12,4,4]
([(0,6),(1,6),(2,5),(3,4)],7)                                                 => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
([(0,6),(1,6),(2,3),(4,5),(6,4)],7)                                           => [14,14,14]
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)                                     => [4,4,2,2]
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)                                     => [10,10,5,5]
([(0,6),(1,5),(2,5),(3,4),(5,6)],7)                                           => [56,56,56]
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                                     => [20,20,16,16,6,6,6,6]
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)                                     => [8]
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)                                     => [48]
([(0,6),(1,6),(2,5),(3,4),(3,6)],7)                                           => [28,28,28,28,28,28,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)                                     => [10,10,10]
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)                                     => [128,5,5]
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)                                     => [45,45,42,42,6,6,6,6]
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)                               => [18,3,3]
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => [24,24,12,12,12,12,12]
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => [44,44,28,28,28,28,14,14,14,14,14,14,14,14,6,6,6,6,6,6]
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)                               => [60,30,30,17,17,10,10]
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)                                     => [134,30,30,14,14,14,14,14,14,10,10,6,6]
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                               => [33,33,12,12,5,5]
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => [162,30,30,14,14,14,14,10,10]
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => [40,40,29,29,28,17,17,5,5]
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)                                     => [28,28,28,28,28,28,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)                                     => [88,30,30,10,10,6,6]
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => [48,48,18,18,18]
([(0,5),(1,5),(2,6),(3,4),(3,6)],7)                                           => [42,42,42,42,42,14,14,14,14,14,14,14,14,14,14]
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)                                     => [44,44,30,30,30,30,24,24,10,6]
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => [174,66,10]
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => [38,38,34,34,22,22,10,10,10,10]
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)                               => [22,14]
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)                               => [80,56]
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)                                     => [22]
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => [44,44,14,14,12]
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                               => [88]
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)                                     => [14,14,6,6]
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)                               => [6,2,2]
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)                               => [18,5,5]
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)                                     => [56,56,12,12,12,12]
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)                                     => [68,68,42,42,14,14,14,14,14,14,6,6,6,6]
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)                                     => [50,49,49,28,6,6,6,6,6,6,5,5]
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)                               => [42]
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)                         => [8,5,5]
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => [18,18,18,18,18,6,6,6,6,6,6,6,6,6,6]
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)                                     => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)                               => [46,34,34,30,30,30,30]
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)                         => [34,34,24,24,24,24,12,12,12,12]
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                   => [54,54,42,42]
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => [30,30,30,30,30,30]
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)                         => [41,41,14,14]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)                         => [20,20,20,20,16,16,16,16,16,16,16,16]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                   => [18,18,14,14,10,10,10,10]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)                         => [40,40,20,20,20,20,20,20]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)                   => [54,54,40,40]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => [34,34,34,34,10,10,10,10]
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                   => [90,90]
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)             => [26,26,24,24,18,18,16,16]
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)       => [78,78]
([(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) => [12,12,12,12,12,12,12,12,12,12,12,12]
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)                         => [104,10,10]
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)                         => [14,10,10]
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)                               => [10,10]
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)                         => [2,2,2,2]
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)                               => [46,46,14,14]
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)                         => [10,10,10,10,10,10,10,10]
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                               => [46,46,14,14,14,14,14,14,14,14,14,14,14,14]
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                         => [34,34,34,34,14,14,14,14,14,14,14,14]
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)                               => [46]
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)                         => [10,10]
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)                         => [12,12]
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)                         => [4,4,2,2]
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)                   => [6,2,2]
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)             => [2,2,2,2]
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                               => [58,58,22,22]
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                         => [36]
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)                   => [8,8]
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                         => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)                                     => [28,6,6,6,6]
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)                               => [22]
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)                                     => [59,59,38,17,17]
([(0,6),(1,6),(2,4),(3,5),(5,6)],7)                                           => [28,28,28,28,28,28,28,28,28]
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)                                     => [4,4,4]
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)                                     => [24,24,24]
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)                                     => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,5),(2,5),(3,4),(4,6)],7)                                           => [42,42,42,42,42]
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)                                     => [12]
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)                                     => [6,6,6,6,3,3]
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)                               => [6]
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)                               => [8,5,5]
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                     => [12,12,12,12,12,12,12,12,12,12]
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)                                     => [78,38,23,23]
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)                                     => [18]
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)                               => [6]
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)                                     => [18,18,18,18,18]
([(2,6),(3,4),(3,6),(4,5)],7)                                                 => [28,28,28,28,28,28,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(1,6),(2,3),(2,6),(3,4),(3,5)],7)                                           => [35,35,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)                                     => [21,21,21,21,18,18]
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)                               => [16,16,7,7,5,5]
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)                         => [16,16,3,3]
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)                   => [6,6,3,3,3,3,3,3]
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)                                     => [28,28,14,14,7,7]
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                               => [7,7,7,7,7,7,7,7,7,7]
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)                               => [16,3]
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)                                     => [23,23,7,7]
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)                               => [9,9,9,9,3,3]
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)                         => [11,11,3,3,3,3]
([(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                           => [21,21,21,21,21,21,14,14,14,14,14,14]
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)                                     => [7,7,7,7,7]
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)                               => [6,2,2]
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                           => [49,49,7,7]
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)                                     => [35,35,7,7]
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)                                     => [16,16,6,6,3,3]
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)                               => [14,14,4,4,3,3]
([(1,6),(2,3),(2,6),(3,5),(5,4)],7)                                           => [35,7,7,7,7,7,7,7,7,7]
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)                                     => [35,14,14]
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)                               => [5,4]
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)                                     => [23,7]
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)                               => [11,3,3]
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)                               => [9,9,7]
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)                                     => [14,14,6,6]
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)                               => [20,3]
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)                         => [10,4,4]
([(2,5),(2,6),(3,5),(3,6),(6,4)],7)                                           => [42,42,42,42,42,42]
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                                     => [28,28,28,28]
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)                               => [30,30]
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                                     => [14,14,14,14,14,14,14,14,14,14,14,14]
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                               => [7,7,7,7]
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                                     => [14,14,14,14,7,7,7,7]
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                               => [7,7,7,7,7,7,7,7,7,7]
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)                         => [7,7,7,7,7,7,7,7]
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)                               => [10,10,10,10]
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)                         => [10,10,4,4,4,4]
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)                         => [12,12,4,4]
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)                   => [14,14]
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)             => [6,6,6,6]
([(1,5),(1,6),(2,5),(2,6),(3,4)],7)                                           => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)                                     => [49,49,49,49,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                               => [42,18,18,18,18]
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => [18,18,14,14,6,6]
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)                         => [44,24]
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                   => [14,14,6,6,3,3,3,3]
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => [21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7]
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)                         => [66,42]
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)                   => [22,22,14,14]
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => [18,18,3,3,3,3]
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)                   => [46,8,8]
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => [17,17,17,17,5,5,5,5]
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)                               => [20,20,16,16,16,16]
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)                                     => [14,14,14,14]
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)                               => [10,10]
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)                         => [10,4,4]
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)                   => [6,6]
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)                   => [10,6]
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)                         => [14]
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)                         => [10,4,4]
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)                                     => [98,98]
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)                               => [7,7,7,7,7,7]
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)                               => [35,35,35,35]
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)                         => [5,5,5,5]
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                               => [56,8]
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)                         => [56]
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)                               => [8,8,5,5,5,5]
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)                         => [28]
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)                                     => [42,42,42]
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)                               => [30]
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)                         => [6,4,4,4,4]
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)                               => [62,5,5,5,5]
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)                               => [14,14,14,14,14,14]
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)                         => [32,10,10]
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)                   => [22,22]
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)                                     => [49,49,49,49,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)                               => [54,42]
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)                               => [28,28,28,28,7,7,7,7,7,7]
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)                         => [17,17,8]
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)                         => [14,8,8]
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)                   => [8,8,3,3]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)                               => [34,24,24,12,12]
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)                         => [28,28,10]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)                         => [18,18,14,14]
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)                   => [30,3,3]
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)                               => [21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,7,7,7,7]
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)                         => [30,30,30]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)                   => [10,10,10,10,10,10]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)                         => [34,34,7,7,7,7,7,7,7,7]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)                   => [22,22,22]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)             => [18,18,3,3,3,3]
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)                               => [91,91,14,14]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)                         => [26,7,7,7,7]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)                   => [26,4]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)                         => [34,4,4]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)                               => [46,7,7,7,7,7,7,7,7,7,7,7,7]
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)                         => [38,22,10]
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)                         => [50,22]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)                   => [14,14,6,6,3,3,3,3]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)                         => [30,30,20,20]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)                   => [18,8,8,7,7]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)                         => [22,22,14]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)                                     => [14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14]
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)                               => [10,10]
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)                         => [2,2,2,2]
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)                         => [14]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)                   => [6,6]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)                               => [74,42]
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)                         => [8,8,8,8,5,5,5,5,5,5,5,5]
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)                         => [14,14,14,14,6,6,6,6]
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)                         => [10,10,10,10,8,8]
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => [48]
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => [10,10,10,10]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)                               => [46,46,14,14,14,14,14,14,14,14,14,14,14,14]
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)                         => [54,24,24]
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)                   => [14,14,8,8,8,8]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                         => [34,34,34,34,14,14,14,14,14,14,14,14]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)                         => [62,62,34]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                   => [44,44,14,14]
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)                               => [46]
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)                         => [12,12]
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)                         => [4,4,2,2]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)                               => [46,46,38,34]
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)                         => [16,16,7,7,7,7]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)                         => [56,56,8,8]
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)                   => [30]
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)             => [8,8]
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)                         => [19,5,5,5]
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)                   => [8,5,5]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)                         => [46,46,14,14]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)                         => [14,14,14,14,10,10,5,5,5,5,4,4]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)                   => [14,14,14,10,10,5,5,5,5,5,5]
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)             => [10,10,10,10,10,10,10,10]
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)                                     => [49,49,49,49,14,14]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)                               => [34,10]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)                               => [34,7,7,7,7]
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)                         => [14,14,4]
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)                               => [14,14,14,14,14,14,14,14,14,14,14,14]
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)                         => [12,12,12]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)                   => [4,4,4,4,4,4]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)                                     => [7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)                               => [10]
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)                         => [2,2]
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)                         => [6]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)                         => [4,4]
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)                               => [58,22]
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)                         => [6,6,6,6,6,6,6,6,3,3,3,3]
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)                               => [8,8,5,5,5,5]
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                         => [5,5,5,5]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)                               => [20,20,16,16,16,16]
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)                         => [18,10,10,7,7]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)                         => [17,17,17,17,5,5,5,5]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)                         => [14,9,9,5,5,5,5]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)                               => [46,14]
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                         => [24]
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)                   => [14]
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)                         => [10,10,10,10]
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)                   => [10,10]
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)             => [6,6]
([(2,6),(3,4),(3,6),(6,5)],7)                                                 => [49,49,49,49,49,49]
([(1,6),(2,3),(2,6),(6,4),(6,5)],7)                                           => [35,35,28,28]
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)                                     => [11,11,11,11,11,11]
([(1,6),(2,3),(2,4),(2,6),(4,5)],7)                                           => [35,35,35,21,21,21,21,21,21,21,21,21]
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)                                     => [56,56,12,12,12,12]
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)                               => [44,35]
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)                         => [56]
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => [35,21,21,21,21,21,21]
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)                               => [28]
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)                                     => [23,23,23,21]
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)                               => [43,12,12]
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)                                     => [35,35,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7]
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => [35,35,14,14,14,14]
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)                         => [10,4,4]
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)                               => [23,23,7,7]
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)                         => [9,9,9,9,7,7]
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)                               => [14,14,6,6]
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)                         => [10,6,6,3,3]
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)                                     => [28,28,14,14,6,6,6,6,6,6]
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)                               => [21,21,18,14,14,6,6]
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)                         => [21,15,7,5,3]
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => [21,7,5,4,4]
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)                         => [21,21,5,5,5,3]
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)                         => [14,14,14,14,6,6,6,6]
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)                   => [20,20,3,3]
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => [10,10,4,4,4,4]
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)                               => [34,17,6,5,3]
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)                         => [8,8,8,5,5,4,4,4]
([(1,6),(2,3),(2,4),(2,6),(6,5)],7)                                           => [49,49,49,49,14,14]
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)                                     => [16,16,16,16,6,6,6,6,6,6]
([(1,6),(2,3),(2,4),(2,5)],7)                                                 => [21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
([(1,6),(2,3),(2,4),(2,5),(2,6)],7)                                           => [35,35,35,35,35,35,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21]
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)                                     => [28,28,28,28,28,28,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)                               => [34,34,17,17,6,6,6,5,5]
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)                               => [56,56,12,12,12,12]
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => [33,33,12,12,12]
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)                         => [21,21,21,21,18,18]
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => [18,18,9,9,5,5,5,5,5,5]
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)                                     => [23,23,23,23,23,23,21,21]
([(0,6),(1,2),(1,3),(1,4),(1,5)],7)                                           => [28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28]
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)                                     => [28,28,28,28,28,28,28,28,28,28,28,28,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)                                     => [6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)                                     => [39,39,39,39,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)                               => [18,18,18,18,18]
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)                               => [38,38,12,12,12,12,12,12,12,12,12,12,12,12]
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)                         => [24,24,24]
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)                         => [18,18,18,18,18,18,18,18,5,5,5,5,5,5]
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)                   => [5,5,5,5,5,5,5,5,5,5,5,5]
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)                   => [24,24,24,24,24,24]
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)                                     => [21,21,21,21,21,21,21,21,6,6,6,6,6,6]
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)                               => [34,34,14,14,14,14]
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)                         => [30,30,15,15]
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)                   => [12,12,12,12,12,12]
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)                                           => [35,35,35,35]
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)                                     => [6,6,6,6,6,6,6,6,6,6]
([(1,6),(2,3),(2,4),(2,5),(5,6)],7)                                           => [77,77,35,35,35,35,35,35]
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)                                     => [29,29,11,11]
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)                                     => [35,35,35]
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)                               => [18]
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)                                     => [35,35,35,35,35,35,14,14,14,14]
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)                               => [23,23]
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)                               => [14,14,14,14,14,14]
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)                         => [4,4,4]
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)                               => [35,35,35,35,35,35]
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)                         => [15,15]
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)                               => [19,19,12,12,12,12,12,12]
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)                         => [10,10,10,4,4]
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                         => [22,5,5,5,5,5,5]
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                         => [33,33,12,12,12]
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)                                     => [39,39,6,6,6,6,6,6,6,6,6,6,6,6]
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)                               => [63]
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)                               => [24,24,18]
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)                               => [99,6,6,6,6,5,5]
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)                               => [18,18,9]
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)                         => [15]
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,2),(5,1),(5,6)],7)                         => [18,9,5,5,5]
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,5)],7)                   => [28,9]
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,6)],7)                         => [21,9,5,5]
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)                   => [15,5,5]
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5)],7)                               => [26,26,12,12,12,12]
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(4,6)],7)                         => [32,16,16,12,12]
([(0,6),(1,2),(1,3),(1,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)                   => [32,32,10]
([(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)             => [11,11,11,11,11,11]
([(0,5),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(5,6)],7)                         => [22,5,5,5,5,5,5]
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)                         => [54,32]
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                   => [58,10,10]
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)                         => [5,5]
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)                         => [48]
([(0,5),(1,3),(1,4),(1,6),(6,2)],7)                                           => [28,28,28,28,28,28,28,28,28]
([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)                                     => [18,18,18,18,18]
([(0,6),(1,3),(1,4),(1,5),(5,2),(5,6)],7)                                     => [59,59,38,17,17]

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Created: Jul 13, 2023 at 16:49 by Martin Rubey

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Last Updated: Aug 15, 2023 at 15:09 by Tilman Möller