*****************************************************************************
*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
*                                                                           *
*    This information is distributed in the hope that it will be useful,    *
*    but WITHOUT ANY WARRANTY; without even the implied warranty of         *
*    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.                   *
*****************************************************************************

-----------------------------------------------------------------------------
Statistic identifier: St000070

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

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

An antichain in a poset $P$ is a subset of elements of $P$ which are pairwise incomparable.

An order ideal is a subset $I$ of $P$ such that $a\in I$ and $b \leq_P a$ implies $b \in I$.  Since there is a one-to-one correspondence between antichains and order ideals, this statistic is also the number of order ideals in a poset.

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

-----------------------------------------------------------------------------
Code:
def statistic(P):
    return P.antichains().cardinality()

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

([],1)                                                                                                => 2
([],2)                                                                                                => 4
([(0,1)],2)                                                                                           => 3
([],3)                                                                                                => 8
([(1,2)],3)                                                                                           => 6
([(0,1),(0,2)],3)                                                                                     => 5
([(0,2),(2,1)],3)                                                                                     => 4
([(0,2),(1,2)],3)                                                                                     => 5
([],4)                                                                                                => 16
([(2,3)],4)                                                                                           => 12
([(1,2),(1,3)],4)                                                                                     => 10
([(0,1),(0,2),(0,3)],4)                                                                               => 9
([(0,2),(0,3),(3,1)],4)                                                                               => 7
([(0,1),(0,2),(1,3),(2,3)],4)                                                                         => 6
([(1,2),(2,3)],4)                                                                                     => 8
([(0,3),(3,1),(3,2)],4)                                                                               => 6
([(1,3),(2,3)],4)                                                                                     => 10
([(0,3),(1,3),(3,2)],4)                                                                               => 6
([(0,3),(1,3),(2,3)],4)                                                                               => 9
([(0,3),(1,2)],4)                                                                                     => 9
([(0,3),(1,2),(1,3)],4)                                                                               => 8
([(0,2),(0,3),(1,2),(1,3)],4)                                                                         => 7
([(0,3),(2,1),(3,2)],4)                                                                               => 5
([(0,3),(1,2),(2,3)],4)                                                                               => 7
([],5)                                                                                                => 32
([(3,4)],5)                                                                                           => 24
([(2,3),(2,4)],5)                                                                                     => 20
([(1,2),(1,3),(1,4)],5)                                                                               => 18
([(0,1),(0,2),(0,3),(0,4)],5)                                                                         => 17
([(0,2),(0,3),(0,4),(4,1)],5)                                                                         => 13
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)                                                                   => 11
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)                                                             => 10
([(1,3),(1,4),(4,2)],5)                                                                               => 14
([(0,3),(0,4),(4,1),(4,2)],5)                                                                         => 11
([(1,2),(1,3),(2,4),(3,4)],5)                                                                         => 12
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)                                                                   => 7
([(0,3),(0,4),(3,2),(4,1)],5)                                                                         => 10
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)                                                                   => 9
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)                                                             => 8
([(2,3),(3,4)],5)                                                                                     => 16
([(1,4),(4,2),(4,3)],5)                                                                               => 12
([(0,4),(4,1),(4,2),(4,3)],5)                                                                         => 10
([(2,4),(3,4)],5)                                                                                     => 20
([(1,4),(2,4),(4,3)],5)                                                                               => 12
([(0,4),(1,4),(4,2),(4,3)],5)                                                                         => 8
([(1,4),(2,4),(3,4)],5)                                                                               => 18
([(0,4),(1,4),(2,4),(4,3)],5)                                                                         => 10
([(0,4),(1,4),(2,4),(3,4)],5)                                                                         => 17
([(0,4),(1,4),(2,3)],5)                                                                               => 15
([(0,4),(1,3),(2,3),(2,4)],5)                                                                         => 13
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                                                   => 12
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                                             => 11
([(0,4),(1,4),(2,3),(4,2)],5)                                                                         => 7
([(0,4),(1,3),(2,3),(3,4)],5)                                                                         => 11
([(0,4),(1,4),(2,3),(2,4)],5)                                                                         => 14
([(0,4),(1,4),(2,3),(3,4)],5)                                                                         => 13
([(1,4),(2,3)],5)                                                                                     => 18
([(1,4),(2,3),(2,4)],5)                                                                               => 16
([(0,4),(1,2),(1,4),(2,3)],5)                                                                         => 11
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)                                                                   => 9
([(1,3),(1,4),(2,3),(2,4)],5)                                                                         => 14
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)                                                                   => 9
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)                                                             => 8
([(0,4),(1,2),(1,4),(4,3)],5)                                                                         => 10
([(0,4),(1,2),(1,3)],5)                                                                               => 15
([(0,4),(1,2),(1,3),(1,4)],5)                                                                         => 14
([(0,2),(0,4),(3,1),(4,3)],5)                                                                         => 9
([(0,4),(1,2),(1,3),(3,4)],5)                                                                         => 12
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)                                                                   => 8
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)                                                                   => 11
([(0,3),(0,4),(1,2),(1,4)],5)                                                                         => 13
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                                                   => 12
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)                                                             => 11
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)                                                                   => 10
([(0,3),(1,2),(1,4),(3,4)],5)                                                                         => 11
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)                                                                   => 9
([(1,4),(3,2),(4,3)],5)                                                                               => 10
([(0,3),(3,4),(4,1),(4,2)],5)                                                                         => 7
([(1,4),(2,3),(3,4)],5)                                                                               => 14
([(0,4),(1,2),(2,4),(4,3)],5)                                                                         => 8
([(0,3),(1,4),(4,2)],5)                                                                               => 12
([(0,4),(3,2),(4,1),(4,3)],5)                                                                         => 8
([(0,4),(1,2),(2,3),(2,4)],5)                                                                         => 10
([(0,4),(2,3),(3,1),(4,2)],5)                                                                         => 6
([(0,3),(1,2),(2,4),(3,4)],5)                                                                         => 10
([(0,4),(1,2),(2,3),(3,4)],5)                                                                         => 9
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)                                                                   => 7
([],6)                                                                                                => 64
([(4,5)],6)                                                                                           => 48
([(3,4),(3,5)],6)                                                                                     => 40
([(2,3),(2,4),(2,5)],6)                                                                               => 36
([(1,2),(1,3),(1,4),(1,5)],6)                                                                         => 34
([(0,1),(0,2),(0,3),(0,4),(0,5)],6)                                                                   => 33
([(0,2),(0,3),(0,4),(0,5),(5,1)],6)                                                                   => 25
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)                                                             => 21
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)                                                       => 19
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)                                                 => 18
([(1,3),(1,4),(1,5),(5,2)],6)                                                                         => 26
([(0,3),(0,4),(0,5),(5,1),(5,2)],6)                                                                   => 21
([(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                                                   => 22
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                                                             => 20
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)                                                       => 11
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                           => 12
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)                                                       => 12
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)                                                             => 13
([(0,3),(0,4),(0,5),(4,2),(5,1)],6)                                                                   => 19
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)                                                       => 15
([(2,3),(2,4),(4,5)],6)                                                                               => 28
([(1,4),(1,5),(5,2),(5,3)],6)                                                                         => 22
([(0,4),(0,5),(5,1),(5,2),(5,3)],6)                                                                   => 19
([(2,3),(2,4),(3,5),(4,5)],6)                                                                         => 24
([(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                                                   => 14
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)                                                             => 9
([(1,4),(1,5),(4,3),(5,2)],6)                                                                         => 20
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                                             => 16
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)                                                       => 10
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                                                 => 9
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)                                                             => 11
([(0,4),(0,5),(4,3),(5,1),(5,2)],6)                                                                   => 16
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)                                                             => 14
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                                 => 12
([(3,4),(4,5)],6)                                                                                     => 32
([(2,3),(3,4),(3,5)],6)                                                                               => 24
([(1,5),(5,2),(5,3),(5,4)],6)                                                                         => 20
([(0,5),(5,1),(5,2),(5,3),(5,4)],6)                                                                   => 18
([(2,3),(3,5),(5,4)],6)                                                                               => 20
([(1,4),(4,5),(5,2),(5,3)],6)                                                                         => 14
([(0,4),(4,5),(5,1),(5,2),(5,3)],6)                                                                   => 11
([(3,5),(4,5)],6)                                                                                     => 40
([(2,5),(3,5),(5,4)],6)                                                                               => 24
([(1,5),(2,5),(5,3),(5,4)],6)                                                                         => 16
([(0,5),(1,5),(5,2),(5,3),(5,4)],6)                                                                   => 12
([(2,5),(3,5),(4,5)],6)                                                                               => 36
([(1,5),(2,5),(3,5),(5,4)],6)                                                                         => 20
([(0,5),(1,5),(2,5),(5,3),(5,4)],6)                                                                   => 12
([(1,5),(2,5),(3,5),(4,5)],6)                                                                         => 34
([(0,5),(1,5),(2,5),(3,5),(5,4)],6)                                                                   => 18
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)                                                                   => 33
([(0,5),(1,5),(2,5),(3,4)],6)                                                                         => 27
([(0,5),(1,5),(2,5),(3,4),(5,3)],6)                                                                   => 11
([(0,5),(1,5),(2,5),(3,4),(5,4)],6)                                                                   => 19
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)                                                                   => 25
([(1,5),(2,5),(3,4)],6)                                                                               => 30
([(1,5),(2,4),(3,4),(3,5)],6)                                                                         => 26
([(0,5),(1,4),(2,4),(2,5),(5,3)],6)                                                                   => 16
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)                                                             => 14
([(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                                                   => 24
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)                                                       => 13
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                                             => 22
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                                       => 13
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                                                 => 12
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                                             => 14
([(1,5),(2,5),(3,4),(5,3)],6)                                                                         => 14
([(1,5),(2,4),(3,4),(4,5)],6)                                                                         => 22
([(0,5),(1,4),(2,4),(4,5),(5,3)],6)                                                                   => 12
([(0,5),(1,5),(2,3),(5,4)],6)                                                                         => 18
([(0,5),(1,5),(4,2),(5,3),(5,4)],6)                                                                   => 10
([(0,5),(1,5),(2,3),(2,5),(5,4)],6)                                                                   => 16
([(0,5),(1,5),(4,2),(4,3),(5,4)],6)                                                                   => 9
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                                             => 13
([(0,5),(1,2),(1,4),(3,5),(4,3)],6)                                                                   => 16
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)                                                             => 13
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)                                                             => 11
([(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)                                                       => 12
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                                             => 21
([(1,5),(2,5),(3,4),(4,5)],6)                                                                         => 26
([(0,5),(1,5),(2,3),(3,5),(5,4)],6)                                                                   => 14
([(0,5),(1,5),(2,3),(3,4)],6)                                                                         => 20
([(0,5),(1,5),(3,2),(4,3),(5,4)],6)                                                                   => 8
([(0,4),(1,4),(2,3),(3,5),(4,5)],6)                                                                   => 16
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                                                             => 12
([(0,5),(1,5),(2,3),(3,4),(3,5)],6)                                                                   => 18
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)                                                                   => 17
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                                             => 13
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)                                                       => 11
([(0,5),(1,5),(2,4),(3,4)],6)                                                                         => 25
([(0,5),(1,5),(2,4),(3,4),(3,5)],6)                                                                   => 23
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                                             => 21
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                                       => 20
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                                 => 19
([(0,5),(1,4),(2,4),(3,5),(4,3)],6)                                                                   => 13
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                                             => 9
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)                                                                   => 21
([(2,5),(3,4)],6)                                                                                     => 36
([(2,5),(3,4),(3,5)],6)                                                                               => 32
([(1,5),(2,3),(2,5),(3,4)],6)                                                                         => 22
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)                                                             => 13
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)                                                       => 11
([(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                                                   => 18
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)                                                             => 10
([(0,5),(1,4),(1,5),(4,2),(5,3)],6)                                                                   => 14
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)                                                             => 12
([(2,4),(2,5),(3,4),(3,5)],6)                                                                         => 28
([(1,4),(1,5),(2,4),(2,5),(5,3)],6)                                                                   => 18
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)                                                             => 13
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                                             => 16
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)                                                             => 12
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)                                                       => 11
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)                                                 => 10
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)                                                             => 11
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)                                                       => 9
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)                                                       => 10
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                                       => 15
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                                       => 16
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)                                                             => 17
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                                       => 15
([(1,5),(2,3),(2,5),(5,4)],6)                                                                         => 20
([(0,5),(1,3),(1,4),(1,5),(4,2)],6)                                                                   => 20
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)                                                             => 16
([(0,5),(1,2),(1,3),(1,5),(5,4)],6)                                                                   => 18
([(0,2),(0,3),(0,5),(4,1),(5,4)],6)                                                                   => 17
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)                                                             => 15
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)                                                       => 14
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                                                       => 19
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                                       => 13
([(1,3),(1,5),(4,2),(5,4)],6)                                                                         => 18
([(0,3),(0,4),(4,5),(5,1),(5,2)],6)                                                                   => 13
([(0,4),(0,5),(3,2),(4,3),(5,1)],6)                                                                   => 13
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)                                                             => 12
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)                                                       => 10
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)                                                             => 12
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)                                                       => 11
([(1,3),(1,4),(2,5),(3,5),(4,2)],6)                                                                   => 16
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)                                                             => 9
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                                                   => 22
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                                             => 12
([(0,5),(1,3),(1,4),(3,5),(4,2)],6)                                                                   => 17
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)                                                             => 16
([(0,3),(0,5),(4,2),(5,1),(5,4)],6)                                                                   => 15
([(0,4),(1,2),(1,3),(3,5),(4,5)],6)                                                                   => 17
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)                                                             => 10
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)                                                             => 8
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)                                                             => 13
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                                                             => 16
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                                             => 22
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)                                                       => 15
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)                                                 => 13
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)                                           => 12
([(1,4),(1,5),(2,3),(2,4),(3,5)],6)                                                                   => 20
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)                                                             => 13
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)                                                             => 12
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)                                                       => 11
([(0,3),(0,5),(1,4),(1,5),(4,2)],6)                                                                   => 18
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)                                                       => 12
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)                                                             => 13
([(0,4),(0,5),(1,2),(1,3)],6)                                                                         => 25
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)                                                       => 16
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)                                                             => 21
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)                                                 => 19
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)                                                       => 16
([(0,4),(0,5),(1,2),(1,3),(3,5)],6)                                                                   => 19
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)                                                       => 10
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)                                                             => 11
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                                 => 13
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)                                                             => 14
([(1,4),(2,3),(2,5),(4,5)],6)                                                                         => 22
([(0,4),(1,3),(1,5),(4,5),(5,2)],6)                                                                   => 13
([(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                                                   => 18
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)                                                             => 11
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)                                                       => 10
([(0,3),(1,4),(1,5),(3,5),(4,2)],6)                                                                   => 15
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)                                                             => 12
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)                                                             => 13
([(0,2),(0,5),(3,4),(4,1),(5,3)],6)                                                                   => 11
([(0,5),(4,2),(4,3),(5,1),(5,4)],6)                                                                   => 12
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)                                                             => 12
([(2,5),(3,4),(4,5)],6)                                                                               => 28
([(1,5),(2,3),(3,5),(5,4)],6)                                                                         => 16
([(0,5),(1,2),(2,5),(5,3),(5,4)],6)                                                                   => 10
([(1,3),(2,4),(4,5)],6)                                                                               => 24
([(1,5),(4,3),(5,2),(5,4)],6)                                                                         => 16
([(0,5),(1,4),(4,2),(4,5),(5,3)],6)                                                                   => 12
([(0,5),(4,3),(5,1),(5,2),(5,4)],6)                                                                   => 14
([(0,5),(1,4),(4,2),(4,3),(4,5)],6)                                                                   => 16
([(1,5),(3,4),(4,2),(5,3)],6)                                                                         => 12
([(0,4),(3,5),(4,3),(5,1),(5,2)],6)                                                                   => 8
([(1,4),(2,3),(3,5),(4,5)],6)                                                                         => 20
([(0,4),(1,3),(3,5),(4,5),(5,2)],6)                                                                   => 11
([(0,5),(1,4),(4,2),(5,3)],6)                                                                         => 16
([(0,5),(3,4),(4,2),(5,1),(5,3)],6)                                                                   => 10
([(0,3),(1,4),(3,5),(4,2),(4,5)],6)                                                                   => 14
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)                                                             => 12
([(1,5),(2,3),(3,4),(4,5)],6)                                                                         => 18
([(1,4),(2,5),(3,5),(4,2),(4,3)],6)                                                                   => 14
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)                                                             => 8
([(0,5),(1,4),(2,5),(4,2),(5,3)],6)                                                                   => 10
([(0,5),(1,4),(2,3)],6)                                                                               => 27
([(0,5),(1,3),(2,4),(2,5)],6)                                                                         => 24
([(0,5),(1,4),(1,5),(3,2),(4,3)],6)                                                                   => 14
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)                                                             => 12
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)                                                                   => 19
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)                                                             => 11
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                                             => 17
([(0,5),(1,3),(1,5),(4,2),(5,4)],6)                                                                   => 12
([(0,4),(1,4),(1,5),(2,3),(2,5)],6)                                                                   => 21
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                           => 15
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)                                                             => 15
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                                             => 20
([(0,4),(1,4),(1,5),(2,3),(3,5)],6)                                                                   => 18
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)                                                             => 16
([(0,4),(1,3),(1,5),(2,5),(4,2)],6)                                                                   => 14
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)                                                             => 11
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)                                                       => 9
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)                                                             => 10
([(0,5),(1,4),(2,3),(2,5),(4,5)],6)                                                                   => 20
([(0,5),(1,3),(4,2),(5,4)],6)                                                                         => 15
([(0,5),(3,2),(4,1),(5,3),(5,4)],6)                                                                   => 11
([(0,5),(1,4),(3,2),(4,3),(4,5)],6)                                                                   => 13
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)                                                             => 11
([(0,4),(3,2),(4,5),(5,1),(5,3)],6)                                                                   => 9
([(0,5),(1,3),(3,4),(4,2),(4,5)],6)                                                                   => 12
([(0,5),(2,4),(3,2),(4,1),(5,3)],6)                                                                   => 7
([(0,5),(1,3),(2,4),(4,5)],6)                                                                         => 21
([(0,5),(1,3),(3,5),(4,2),(5,4)],6)                                                                   => 9
([(0,5),(1,4),(2,3),(3,5),(5,4)],6)                                                                   => 15
([(0,5),(1,4),(2,5),(3,2),(4,3)],6)                                                                   => 11
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)                                                             => 8
([(0,3),(1,4),(2,5),(3,5),(4,2)],6)                                                                   => 13
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)                                                             => 9
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)                                                                   => 19
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)                                                             => 65
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)                                                             => 49
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                     => 34
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)                                                             => 41
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)                                           => 19
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                           => 20
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                           => 22
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)                                                             => 37
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)                                                             => 37
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)                                     => 14
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)                                           => 15
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)                                                 => 13
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)                                                             => 31
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)                                                             => 28
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)                                                             => 35
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)                                                             => 28
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)                                                             => 26
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)                                                             => 18
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)                                                             => 34
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)                                                             => 19
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)                                                             => 34
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)                                                             => 65
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)                                                             => 19
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)                                                             => 35
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)                                                             => 49
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)                                                             => 26
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)                                                             => 12
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)                                                             => 20
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)                                                             => 28
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)                                                             => 34
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)                                                             => 21
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)                                                 => 12
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                                             => 33
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)                                                             => 21
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)                                                             => 37
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)                                                             => 25
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)                                                             => 41
([(1,6),(2,6),(3,4),(3,6),(4,5)],7)                                                                   => 38
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)                                                       => 18
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)                                                 => 20
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)                                           => 22
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)                                                             => 23
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)                                                       => 22
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)                                           => 15
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)                                                 => 14
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)                                           => 16
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)                                                 => 12
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)                                           => 20
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)                                                 => 10
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)                                                 => 17
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)                                                             => 17
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)                                                             => 20
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)                                           => 19
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)                                                             => 12
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)                                                       => 9
([(1,6),(2,6),(3,4),(4,5),(5,6)],7)                                                                   => 34
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)                                                             => 18
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)                                                             => 9
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)                                                             => 21
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)                                                             => 14
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)                                                             => 22
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)                                                             => 26
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)                                                             => 13
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)                                                             => 23
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)                                                             => 18
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)                                                             => 34
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)                                                             => 15
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)                                                             => 27
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)                                                             => 37
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)                                                             => 15
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)                                                             => 19
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)                                                             => 31
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)                                                             => 17
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)                                                             => 29
([(1,6),(2,3),(2,6),(3,5),(6,4)],7)                                                                   => 28
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)                                                       => 18
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)                                                             => 24
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)                                                       => 14
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)                                                 => 18
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)                                           => 18
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)                                                 => 20
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)                                                       => 24
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)                                                       => 18
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)                                                 => 20
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)                                           => 18
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)                                                             => 34
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)                                                             => 33
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)                                           => 26
([(1,3),(1,4),(1,6),(5,2),(6,5)],7)                                                                   => 34
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)                                                             => 25
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)                                                 => 15
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)                                                 => 16
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)                                           => 18
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)                                                 => 14
([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)                                                             => 29
([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)                                                             => 25
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)                                                 => 18
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)                                           => 16
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)                                                 => 17
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)                                                 => 12
([(1,5),(2,3),(2,4),(2,6),(5,6)],7)                                                                   => 38
([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)                                                             => 21
([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)                                                             => 21
([(1,5),(1,6),(4,3),(5,4),(6,2)],7)                                                                   => 26
([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)                                                             => 24
([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)                                                 => 14
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)                                                 => 11
([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)                                                             => 19
([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)                                                             => 24
([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)                                                       => 22
([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)                                                             => 21
([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)                                                             => 27
([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)                                                             => 26
([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)                                                             => 24
([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)                                                             => 20
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)                                                       => 11
([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)                                                             => 24
([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)                                                             => 19
([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)                                                             => 16
([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)                                                       => 18
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)                                                 => 13
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)                                                       => 9
([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)                                                             => 22
([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)                                                       => 19
([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)                                     => 14
([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)                                                 => 16
([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)                                                             => 22
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)                                                       => 12
([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7)                                                       => 22
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)                                     => 22
([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)                                           => 18
([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)                                                             => 26
([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)                                                       => 22
([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)                                                             => 24
([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7)                                                 => 14
([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)                                           => 14
([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)                                                             => 25
([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)                                                             => 26
([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7)                                                       => 24
([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)                                                 => 18
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)                                     => 18
([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7)                                                 => 22
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)                                                 => 22
([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7)                                                 => 20
([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7)                                           => 18
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)                                     => 18
([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)                                                 => 18
([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)                                           => 18
([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)                                                             => 27
([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)                                                             => 28
([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)                                                             => 26
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)                                                 => 12
([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)                                                             => 23
([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)                                                             => 29
([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)                                                             => 22
([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)                                                             => 15
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)                                                             => 16
([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)                                                       => 15
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)                                                 => 13
([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)                                                             => 20
([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)                                                       => 18
([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)                                                             => 24
([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)                                                       => 14
([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)                                                             => 22
([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)                                                             => 19
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)                                                 => 11
([(2,4),(3,5),(5,6)],7)                                                                               => 48
([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7)                                                       => 14
([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7)                                                             => 20
([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)                                                             => 26
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)                                                 => 12
([(2,6),(4,5),(5,3),(6,4)],7)                                                                         => 24
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)                                                             => 12
([(1,4),(2,3),(3,6),(4,6),(6,5)],7)                                                                   => 22
([(1,6),(4,5),(5,3),(6,2),(6,4)],7)                                                                   => 20
([(1,3),(2,4),(3,6),(4,5),(4,6)],7)                                                                   => 28
([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)                                                             => 18
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)                                                             => 14
([(1,3),(2,4),(3,5),(4,6),(5,6)],7)                                                                   => 26
([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)                                                             => 18
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)                                                       => 10
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)                                                             => 14
([(1,6),(2,3),(3,5),(5,6),(6,4)],7)                                                                   => 20
([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7)                                                 => 14
([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)                                                       => 24
([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7)                                                             => 17
([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)                                                             => 25
([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)                                                             => 18
([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)                                                             => 29
([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)                                                             => 30
([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7)                                                       => 14
([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)                                                 => 22
([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)                                                             => 31
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)                                                 => 18
([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)                                           => 18
([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)                                                             => 25
([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7)                                                             => 21
([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)                                                       => 18
([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)                                                             => 22
([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)                                                             => 17
([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)                                                             => 27
([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)                                                             => 14
([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)                                                             => 23
([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)                                                       => 20
([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)                                                             => 26
([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)                                                       => 18
([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)                                                 => 18
([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)                                                             => 26
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7)                                                       => 22
([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7)                                                       => 20
([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7)                                                 => 18
([(0,4),(1,3),(1,6),(5,2),(6,5)],7)                                                                   => 27
([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)                                                             => 21
([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)                                                             => 17
([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)                                                             => 17
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)                                                 => 13
([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)                                                             => 22
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)                                                       => 12
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)                                                 => 16
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)                                                 => 14
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)                                                       => 10
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)                                                 => 14
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)                                                 => 13
([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)                                                             => 22
([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)                                                       => 20
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)                                                             => 29
([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)                                                       => 20
([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)                                                 => 18
([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)                                                             => 23
([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7)                                                 => 14
([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)                                                             => 31
([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)                                                 => 22
([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)                                                       => 14
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)                                                             => 34
([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7)                                                 => 14
([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)                                                 => 22
([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)                                                             => 29
([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)                                                 => 18
([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7)                                                             => 17
([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)                                                             => 17
([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)                                                       => 14
([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)                                                             => 25
([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)                                                             => 19
([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)                                                             => 26
([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)                                                       => 24
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)                                                             => 13
([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)                                                             => 17
([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7)                                                             => 21
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)                                                             => 13
([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)                                                             => 20
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)                                                       => 14
([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)                                                             => 23
([(1,6),(2,4),(5,3),(6,5)],7)                                                                         => 30
([(1,6),(4,3),(5,2),(6,4),(6,5)],7)                                                                   => 22
([(1,5),(4,3),(5,6),(6,2),(6,4)],7)                                                                   => 18
([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)                                                             => 14
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)                                                             => 15
([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)                                                             => 18
([(1,6),(3,5),(4,3),(5,2),(6,4)],7)                                                                   => 14
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)                                                             => 9
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)                                                             => 11
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)                                                             => 12
([(1,6),(2,3),(3,6),(4,5),(6,4)],7)                                                                   => 18
([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)                                                             => 18
([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)                                                             => 20
([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)                                                             => 20
([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)                                                             => 22
([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7)                                                       => 18
([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)                                                             => 14
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7)                                                             => 12
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)                                                             => 10
([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)                                                             => 14
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)                                                             => 14
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)                                                             => 8
([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)                                                       => 22
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)                                                             => 10
([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)                                                             => 16
([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)                                                             => 22
([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)                                                             => 25
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)                                                 => 15
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)                                                             => 16
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)                                                       => 10
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)                                                       => 12
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)                                                             => 28
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)                                                             => 12
([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)                                                             => 21
([(0,6),(1,3),(2,4),(4,5),(5,6)],7)                                                                   => 27
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)                                                 => 13
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)                                                       => 9
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)                                                             => 11
([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)                                                             => 19
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)                                                             => 13
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)                                                       => 9
([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)                                                             => 17
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)                                                       => 11
([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)                                                       => 9
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)                                     => 16
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)                                           => 11
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)                               => 42
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)                               => 36
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)                                     => 24
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)                                           => 11
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)                                     => 27
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)                                           => 11
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)                                     => 15
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)                                           => 12
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)                                     => 14
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)                                           => 12
([(0,4),(0,5),(1,7),(2,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,3)],8)                                     => 16
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)                                                 => 18
([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)                                                 => 10
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)                         => 20
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)                                           => 12
([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)             => 21
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)             => 21
([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)                         => 13
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)                         => 22
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 22
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)                         => 31
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)                         => 67
([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)                         => 22
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 31
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)                         => 31
([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)                                                 => 76
([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)                         => 67
([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)                                                 => 76
([(4,6),(4,7),(5,6),(5,7)],8)                                                                         => 112
([],8)                                                                                                => 256
([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)                                     => 15
([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8)                                                 => 19
([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)                                     => 17
([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8)                                     => 15
([(0,7),(1,6),(4,2),(5,3),(6,4),(7,5)],8)                                                             => 25
([(0,5),(0,7),(1,4),(1,6),(2,7),(3,6),(4,2),(5,3)],8)                                                 => 23
([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,2),(7,3)],8)                                                 => 21
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8)                                                 => 19
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8)                                     => 17
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8)                                     => 19
([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7)],8)                                                 => 21
([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8)                                                 => 17
([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)                                     => 15
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)                                     => 24
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)                                     => 33
([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)                                                 => 40
([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)                                                             => 48
([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)                                                 => 41
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)                                     => 39
([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8)                                                 => 28
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)             => 24
([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)                         => 28
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)                                     => 69
([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)                                                             => 84
([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)                                                 => 73
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8)                                                 => 43
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)                                     => 41
([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)                                     => 30
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)                         => 26
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)             => 24
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8)                                     => 33
([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8)                                                 => 37
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)                                     => 48
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8)                                                 => 52
([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)                                                             => 63
([(4,7),(5,6)],8)                                                                                     => 144
([(0,7),(1,6),(2,5),(3,4)],8)                                                                         => 81
([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)                                                             => 64
([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8)                                                             => 49
([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8)                                                 => 45
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8)                                                 => 41
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)                                     => 39
([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8)                         => 28
([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8)                                     => 30
([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8)                                     => 34
([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8)                                                 => 36
([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8)                                                             => 49
([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)                                                             => 81
([(2,7),(3,7),(4,6),(5,6)],8)                                                                         => 100
([(2,5),(3,4),(4,6),(5,7)],8)                                                                         => 64
([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8)                                                             => 36
([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8)                                     => 30
([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8)                                                 => 32
([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8)                                                 => 45
([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)                                                             => 56
([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)                                                             => 48
([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8)                                                 => 37
([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8)                                                 => 28
([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8)                                     => 26
([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)                                     => 24
([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)                                     => 24
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)             => 33
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)                         => 37
([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)                                     => 48
([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)                                                             => 84
([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)                                                 => 52
([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)                                     => 41
([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8)                         => 37
([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8)                                                 => 28
([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8)                                     => 26
([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)                                     => 24
([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8)                                                 => 28
([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8)                                     => 30
([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8)                                                 => 32
([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8)                                                             => 36
([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8)                                                 => 49
([(2,6),(2,7),(3,4),(3,5)],8)                                                                         => 100
([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8)                                                 => 43
([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8)                                     => 41
([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8)                                     => 69
([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8)                                                 => 73
([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8)                                                             => 81
([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)                                                       => 15
([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8)                                                 => 18
([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)                                                       => 19
([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8)                                           => 18
([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8)                                                 => 24
([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)                                                       => 21
([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8)                                           => 23
([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8)                                           => 22
([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8)                                                 => 26
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8)                                     => 19
([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)                                                 => 47
([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9)                                                 => 53
([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9)                                                 => 56
([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)                                                 => 10
([(0,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,5),(7,6),(8,4),(8,6)],9)                                     => 20
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)                   => 21
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)                         => 30
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)                         => 27
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)                         => 30
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)                               => 14
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)                               => 14
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)                               => 16
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)                               => 15
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)                         => 20
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)                               => 16
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)                               => 15
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)                   => 21
([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9)                   => 19
([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)                   => 19
([(0,6),(3,8),(4,5),(4,8),(5,1),(5,7),(6,3),(6,4),(8,2),(8,7)],9)                                     => 20
([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)                                                 => 17
([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5),(7,8)],9)                                           => 21
([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)                                                 => 22
([(0,2),(0,6),(2,7),(3,5),(4,3),(4,8),(5,1),(6,4),(6,7),(7,8)],9)                                     => 22
([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(6,8),(7,1),(7,8)],9)                                           => 29
([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)                                                 => 25
([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9)                               => 20
([(0,5),(0,6),(3,4),(3,8),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9)                                     => 30
([(0,5),(0,6),(2,8),(3,4),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9)                                     => 28
([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8)],9)                                           => 33
([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)                                                 => 26
([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9)                               => 25
([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9)                               => 28
([(0,5),(0,6),(3,1),(4,2),(4,8),(5,3),(5,7),(6,4),(6,7),(7,8)],9)                                     => 32
([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11)                                 => 95
([(0,9),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,10),(8,9),(10,8)],11)                                 => 107
([(0,8),(1,9),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,10),(10,9)],11)                                 => 113
([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,9),(9,10)],11)                                  => 116
([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,9),(8,9),(9,10)],11)                                  => 131
([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,8),(7,9),(8,10),(9,10)],11)                                  => 122
([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13)               => 191
([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)               => 215
([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,10),(10,12),(11,9),(12,11)],13)               => 227
([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(11,9),(12,10)],13)                => 233
([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(11,12),(12,10)],13)                => 263
([(0,7),(1,7),(2,8),(3,8),(4,11),(5,10),(6,9),(7,10),(8,11),(10,12),(11,12),(12,9)],13)               => 245
([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)                => 236
([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(10,12),(11,10)],13)                => 266
([(0,10),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(7,12),(8,11),(9,10),(10,12),(12,11)],13)                => 281
([(0,7),(1,7),(2,8),(3,8),(4,9),(5,10),(6,11),(7,10),(8,11),(9,12),(10,12),(11,9)],13)                => 254
([(0,10),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,11),(9,10),(10,12),(11,12)],13)                => 287

-----------------------------------------------------------------------------
Created: Jun 11, 2013 at 12:41 by Christian Stump

-----------------------------------------------------------------------------
Last Updated: Apr 08, 2021 at 15:18 by Martin Rubey