*****************************************************************************
* 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: St000282
-----------------------------------------------------------------------------
Collection: Posets
-----------------------------------------------------------------------------
Description: The size of the preimage of the map 'to poset' from Ordered trees to Posets.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def to_poset(elt, root_to_leaf = False):
if elt in LabelledOrderedTrees():
relabel = False
else:
elt = elt.canonical_labelling()
relabel = True
relations = []
elements = [elt.label()]
roots = [elt]
while len(roots)!=0:
node = roots.pop()
for child in node:
elements.append(child.label())
relations.append((node.label(),child.label()) if root_to_leaf else (child.label(),node.label()))
roots.append(child)
from sage.combinat.posets.posets import Poset
p = Poset([elements, relations])
if relabel:
p = p.canonical_label()
return p
@cached_function
def preimages(level):
result = dict()
for el in OrderedTrees(level):
image = to_poset(el)._hasse_diagram.canonical_label().copy(immutable=True)
result[image] = result.get(image, 0) + 1
return result
def statistic(x):
return preimages(x.cardinality()).get(x._hasse_diagram.canonical_label().copy(immutable=True), 0)
-----------------------------------------------------------------------------
Statistic values:
([],2) => 0
([(0,1)],2) => 1
([],3) => 0
([(1,2)],3) => 0
([(0,1),(0,2)],3) => 0
([(0,2),(2,1)],3) => 1
([(0,2),(1,2)],3) => 1
([],4) => 0
([(2,3)],4) => 0
([(1,2),(1,3)],4) => 0
([(0,1),(0,2),(0,3)],4) => 0
([(0,2),(0,3),(3,1)],4) => 0
([(0,1),(0,2),(1,3),(2,3)],4) => 0
([(1,2),(2,3)],4) => 0
([(0,3),(3,1),(3,2)],4) => 0
([(1,3),(2,3)],4) => 0
([(0,3),(1,3),(3,2)],4) => 1
([(0,3),(1,3),(2,3)],4) => 1
([(0,3),(1,2)],4) => 0
([(0,3),(1,2),(1,3)],4) => 0
([(0,2),(0,3),(1,2),(1,3)],4) => 0
([(0,3),(2,1),(3,2)],4) => 1
([(0,3),(1,2),(2,3)],4) => 2
([],5) => 0
([(3,4)],5) => 0
([(2,3),(2,4)],5) => 0
([(1,2),(1,3),(1,4)],5) => 0
([(0,1),(0,2),(0,3),(0,4)],5) => 0
([(0,2),(0,3),(0,4),(4,1)],5) => 0
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 0
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 0
([(1,3),(1,4),(4,2)],5) => 0
([(0,3),(0,4),(4,1),(4,2)],5) => 0
([(1,2),(1,3),(2,4),(3,4)],5) => 0
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 0
([(0,3),(0,4),(3,2),(4,1)],5) => 0
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => 0
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 0
([(2,3),(3,4)],5) => 0
([(1,4),(4,2),(4,3)],5) => 0
([(0,4),(4,1),(4,2),(4,3)],5) => 0
([(2,4),(3,4)],5) => 0
([(1,4),(2,4),(4,3)],5) => 0
([(0,4),(1,4),(4,2),(4,3)],5) => 0
([(1,4),(2,4),(3,4)],5) => 0
([(0,4),(1,4),(2,4),(4,3)],5) => 1
([(0,4),(1,4),(2,4),(3,4)],5) => 1
([(0,4),(1,4),(2,3)],5) => 0
([(0,4),(1,3),(2,3),(2,4)],5) => 0
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 0
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 0
([(0,4),(1,4),(2,3),(4,2)],5) => 1
([(0,4),(1,3),(2,3),(3,4)],5) => 2
([(0,4),(1,4),(2,3),(2,4)],5) => 0
([(0,4),(1,4),(2,3),(3,4)],5) => 3
([(1,4),(2,3)],5) => 0
([(1,4),(2,3),(2,4)],5) => 0
([(0,4),(1,2),(1,4),(2,3)],5) => 0
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 0
([(1,3),(1,4),(2,3),(2,4)],5) => 0
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 0
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 0
([(0,4),(1,2),(1,4),(4,3)],5) => 0
([(0,4),(1,2),(1,3)],5) => 0
([(0,4),(1,2),(1,3),(1,4)],5) => 0
([(0,2),(0,4),(3,1),(4,3)],5) => 0
([(0,4),(1,2),(1,3),(3,4)],5) => 0
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 0
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 0
([(0,3),(0,4),(1,2),(1,4)],5) => 0
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 0
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 0
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => 0
([(0,3),(1,2),(1,4),(3,4)],5) => 0
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 0
([(1,4),(3,2),(4,3)],5) => 0
([(0,3),(3,4),(4,1),(4,2)],5) => 0
([(1,4),(2,3),(3,4)],5) => 0
([(0,4),(1,2),(2,4),(4,3)],5) => 2
([(0,3),(1,4),(4,2)],5) => 0
([(0,4),(3,2),(4,1),(4,3)],5) => 0
([(0,4),(1,2),(2,3),(2,4)],5) => 0
([(0,4),(2,3),(3,1),(4,2)],5) => 1
([(0,3),(1,2),(2,4),(3,4)],5) => 1
([(0,4),(1,2),(2,3),(3,4)],5) => 2
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 0
([],6) => 0
([(4,5)],6) => 0
([(3,4),(3,5)],6) => 0
([(2,3),(2,4),(2,5)],6) => 0
([(1,2),(1,3),(1,4),(1,5)],6) => 0
([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 0
([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 0
([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 0
([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 0
([(1,3),(1,4),(1,5),(5,2)],6) => 0
([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 0
([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 0
([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6) => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6) => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 0
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 0
([(0,3),(0,4),(0,5),(4,2),(5,1)],6) => 0
([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6) => 0
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(2,3),(2,4),(4,5)],6) => 0
([(1,4),(1,5),(5,2),(5,3)],6) => 0
([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 0
([(2,3),(2,4),(3,5),(4,5)],6) => 0
([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 0
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 0
([(1,4),(1,5),(4,3),(5,2)],6) => 0
([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 0
([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 0
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 0
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => 0
([(0,4),(0,5),(4,3),(5,1),(5,2)],6) => 0
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => 0
([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6) => 0
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => 0
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(3,4),(4,5)],6) => 0
([(2,3),(3,4),(3,5)],6) => 0
([(1,5),(5,2),(5,3),(5,4)],6) => 0
([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 0
([(2,3),(3,5),(5,4)],6) => 0
([(1,4),(4,5),(5,2),(5,3)],6) => 0
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 0
([(3,5),(4,5)],6) => 0
([(2,5),(3,5),(5,4)],6) => 0
([(1,5),(2,5),(5,3),(5,4)],6) => 0
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 0
([(2,5),(3,5),(4,5)],6) => 0
([(1,5),(2,5),(3,5),(5,4)],6) => 0
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 0
([(1,5),(2,5),(3,5),(4,5)],6) => 0
([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 1
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1
([(0,5),(1,5),(2,5),(3,4)],6) => 0
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 1
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 2
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 4
([(1,5),(2,5),(3,4)],6) => 0
([(1,5),(2,4),(3,4),(3,5)],6) => 0
([(0,5),(1,4),(2,4),(2,5),(5,3)],6) => 0
([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => 0
([(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6) => 0
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 0
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 0
([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 0
([(1,5),(2,5),(3,4),(5,3)],6) => 0
([(1,5),(2,4),(3,4),(4,5)],6) => 0
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 2
([(0,5),(1,5),(2,3),(5,4)],6) => 0
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 0
([(0,5),(1,5),(2,4),(5,3),(5,4)],6) => 0
([(1,5),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,5),(2,3),(2,5),(5,4)],6) => 0
([(0,5),(1,5),(2,3),(2,5),(3,4)],6) => 0
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => 0
([(0,5),(1,5),(2,3),(2,4)],6) => 0
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 0
([(0,4),(1,4),(2,3),(2,5),(4,5)],6) => 0
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 0
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 0
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => 0
([(0,5),(1,5),(2,3),(2,4),(4,5)],6) => 0
([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 0
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 0
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 0
([(1,5),(2,5),(3,4),(4,5)],6) => 0
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 3
([(0,5),(1,5),(2,3),(3,4)],6) => 0
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 2
([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 0
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 0
([(0,5),(1,5),(2,3),(3,4),(3,5)],6) => 0
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 3
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 0
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 0
([(0,5),(1,5),(2,4),(3,4)],6) => 0
([(0,5),(1,5),(2,4),(3,4),(3,5)],6) => 0
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 2
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 0
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 3
([(2,5),(3,4)],6) => 0
([(2,5),(3,4),(3,5)],6) => 0
([(1,5),(2,3),(2,5),(3,4)],6) => 0
([(0,5),(1,4),(1,5),(4,2),(4,3)],6) => 0
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 0
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 0
([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 0
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 0
([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 0
([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 0
([(2,4),(2,5),(3,4),(3,5)],6) => 0
([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 0
([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 0
([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6) => 0
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 0
([(1,5),(2,3),(2,5),(5,4)],6) => 0
([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 0
([(1,5),(2,3),(2,4)],6) => 0
([(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,5),(1,3),(1,4),(1,5),(4,2)],6) => 0
([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 0
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 0
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 0
([(0,5),(1,2),(1,3),(1,5),(5,4)],6) => 0
([(0,5),(1,2),(1,3),(1,4)],6) => 0
([(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 0
([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 0
([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 0
([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 0
([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 0
([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 0
([(0,4),(1,2),(1,3),(1,5),(4,5)],6) => 0
([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 0
([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(1,3),(1,5),(4,2),(5,4)],6) => 0
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 0
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => 0
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => 0
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 0
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => 0
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => 0
([(1,5),(2,3),(2,4),(4,5)],6) => 0
([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 0
([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 0
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 0
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 0
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 0
([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 0
([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 0
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => 0
([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 0
([(0,4),(1,3),(1,5),(5,2)],6) => 0
([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 0
([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 0
([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 0
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 0
([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => 0
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 0
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 0
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 0
([(1,4),(1,5),(2,3),(2,5)],6) => 0
([(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 0
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 0
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 0
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 0
([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 0
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 0
([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 0
([(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 0
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => 0
([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6) => 0
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => 0
([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0
([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 0
([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6) => 0
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6) => 0
([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 0
([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6) => 0
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 0
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 0
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 0
([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6) => 0
([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 0
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 0
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 0
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 0
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6) => 0
([(1,4),(2,3),(2,5),(4,5)],6) => 0
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 0
([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 0
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 0
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 0
([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 0
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 0
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,3),(1,4),(5,2)],6) => 0
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 0
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 0
([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 0
([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 0
([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 0
([(2,5),(3,4),(4,5)],6) => 0
([(1,5),(2,3),(3,5),(5,4)],6) => 0
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 0
([(1,3),(2,4),(4,5)],6) => 0
([(1,5),(4,3),(5,2),(5,4)],6) => 0
([(1,5),(2,3),(3,4),(3,5)],6) => 0
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 0
([(0,4),(1,5),(5,2),(5,3)],6) => 0
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 0
([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 0
([(1,5),(3,4),(4,2),(5,3)],6) => 0
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 0
([(1,4),(2,3),(3,5),(4,5)],6) => 0
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
([(0,5),(1,4),(4,2),(5,3)],6) => 0
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 0
([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 0
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 0
([(1,5),(2,3),(3,4),(4,5)],6) => 0
([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 0
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 0
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 2
([(0,5),(1,4),(2,3)],6) => 0
([(0,5),(1,3),(2,4),(2,5)],6) => 0
([(0,5),(1,4),(2,3),(2,4),(2,5)],6) => 0
([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 0
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 0
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 0
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 0
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 0
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
([(0,5),(1,4),(2,3),(2,4),(4,5)],6) => 0
([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => 0
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6) => 0
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6) => 0
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 0
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6) => 0
([(0,5),(1,4),(1,5),(2,3),(2,5)],6) => 0
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6) => 0
([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => 0
([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 0
([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 0
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 0
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 0
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => 0
([(0,5),(1,4),(2,3),(2,5),(4,5)],6) => 0
([(0,5),(1,3),(4,2),(5,4)],6) => 0
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => 0
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 0
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 0
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 0
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 0
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
([(0,5),(1,3),(2,4),(4,5)],6) => 0
([(0,5),(1,4),(2,3),(3,4),(3,5)],6) => 0
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 2
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 4
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 2
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 0
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 0
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 3
([],7) => 0
([(5,6)],7) => 0
([(4,5),(4,6)],7) => 0
([(3,4),(3,5),(3,6)],7) => 0
([(2,3),(2,4),(2,5),(2,6)],7) => 0
([(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 0
([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
([(1,3),(1,4),(1,5),(1,6),(6,2)],7) => 0
([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 0
([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 0
([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 0
([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7) => 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7) => 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 0
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7) => 0
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(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) => 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7) => 0
([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7) => 0
([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7) => 0
([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(2,4),(2,5),(2,6),(6,3)],7) => 0
([(1,4),(1,5),(1,6),(6,2),(6,3)],7) => 0
([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 0
([(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 0
([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 0
([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 0
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => 0
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 0
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 0
([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 0
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7) => 0
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7) => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 0
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7) => 0
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7) => 0
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7) => 0
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => 0
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7) => 0
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7) => 0
([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 0
([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7) => 0
([(1,4),(1,5),(1,6),(5,3),(6,2)],7) => 0
([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 0
([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7) => 0
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7) => 0
([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 0
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 0
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 0
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7) => 0
([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7) => 0
([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7) => 0
([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7) => 0
([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 0
([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7) => 0
([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7) => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7) => 0
([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 0
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(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) => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 0
([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7) => 0
([(3,4),(3,5),(5,6)],7) => 0
([(2,5),(2,6),(6,3),(6,4)],7) => 0
([(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 0
([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 0
([(3,4),(3,5),(4,6),(5,6)],7) => 0
([(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 0
([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => 0
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => 0
([(2,5),(2,6),(5,4),(6,3)],7) => 0
([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 0
([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7) => 0
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => 0
([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 0
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => 0
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => 0
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => 0
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 0
([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7) => 0
([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7) => 0
([(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 0
([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7) => 0
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7) => 0
([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7) => 0
([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7) => 0
([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => 0
([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7) => 0
([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7) => 0
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 0
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 0
([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7) => 0
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7) => 0
([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7) => 0
([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7) => 0
([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7) => 0
([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7) => 0
([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7) => 0
([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 0
([(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 0
([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7) => 0
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => 0
([(4,5),(5,6)],7) => 0
([(3,4),(4,5),(4,6)],7) => 0
([(2,6),(6,3),(6,4),(6,5)],7) => 0
([(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 0
([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 0
([(3,4),(4,6),(6,5)],7) => 0
([(2,5),(5,6),(6,3),(6,4)],7) => 0
([(1,5),(5,6),(6,2),(6,3),(6,4)],7) => 0
([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 0
([(4,6),(5,6)],7) => 0
([(3,6),(4,6),(6,5)],7) => 0
([(2,6),(3,6),(6,4),(6,5)],7) => 0
([(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 0
([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7) => 0
([(3,6),(4,6),(5,6)],7) => 0
([(2,6),(3,6),(4,6),(6,5)],7) => 0
([(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 0
([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7) => 0
([(2,6),(3,6),(4,6),(5,6)],7) => 0
([(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 0
([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7) => 0
([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 1
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1
([(0,6),(1,6),(2,6),(3,6),(4,5)],7) => 0
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 1
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 2
([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 5
([(1,6),(2,6),(3,6),(4,5)],7) => 0
([(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 0
([(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(6,5)],7) => 0
([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 0
([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 0
([(1,6),(2,6),(3,6),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(3,5)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 4
([(0,6),(1,6),(2,6),(3,4),(4,5)],7) => 0
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 1
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 2
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 2
([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 0
([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 3
([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 0
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 4
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => 0
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 2
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 0
([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 3
([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 3
([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 0
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 0
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 4
([(2,6),(3,6),(4,5)],7) => 0
([(2,6),(3,5),(4,5),(4,6)],7) => 0
([(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 0
([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7) => 0
([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 0
([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7) => 0
([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 0
([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 0
([(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7) => 0
([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 0
([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 0
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 0
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 0
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7) => 0
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 0
([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7) => 0
([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7) => 0
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7) => 0
([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 0
([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7) => 0
([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 0
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7) => 0
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 0
([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 0
([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => 0
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7) => 0
([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7) => 0
([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 0
([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7) => 0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 0
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7) => 0
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 0
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7) => 0
([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 0
([(2,6),(3,6),(4,5),(6,4)],7) => 0
([(2,6),(3,5),(4,5),(5,6)],7) => 0
([(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 0
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => 0
([(1,6),(2,6),(3,4),(6,5)],7) => 0
([(1,6),(2,6),(4,5),(6,3),(6,4)],7) => 0
([(1,6),(2,6),(3,5),(6,4),(6,5)],7) => 0
([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7) => 0
([(0,6),(1,6),(2,3),(6,4),(6,5)],7) => 0
([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7) => 0
([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7) => 0
([(2,6),(3,6),(4,5),(4,6)],7) => 0
([(1,6),(2,6),(3,4),(3,6),(6,5)],7) => 0
([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 0
([(1,6),(2,6),(3,4),(3,6),(4,5)],7) => 0
([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 0
([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 0
([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 0
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 0
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7) => 0
([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7) => 0
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 0
([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7) => 0
([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7) => 0
([(1,6),(2,6),(3,4),(3,5)],7) => 0
([(1,6),(2,6),(3,4),(3,5),(6,3)],7) => 0
([(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 0
([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7) => 0
([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(6,5)],7) => 0
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => 0
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7) => 0
([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 0
([(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 0
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(2,5)],7) => 0
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => 0
([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7) => 0
([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 0
([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7) => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7) => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 0
([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7) => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 0
([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 0
([(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7) => 0
([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => 0
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => 0
([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7) => 0
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7) => 0
([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => 0
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => 0
([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7) => 0
([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7) => 0
([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 0
([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7) => 0
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => 0
([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7) => 0
([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7) => 0
([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7) => 0
([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7) => 0
([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 0
([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7) => 0
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7) => 0
([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7) => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7) => 0
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7) => 0
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7) => 0
([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7) => 0
([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7) => 0
([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7) => 0
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7) => 0
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => 0
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => 0
([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7) => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7) => 0
([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7) => 0
([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7) => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7) => 0
([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7) => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7) => 0
([(2,6),(3,6),(4,5),(5,6)],7) => 0
([(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 0
([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7) => 0
([(1,6),(2,6),(3,4),(4,5)],7) => 0
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 0
([(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 0
([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 2
([(0,6),(1,6),(2,3),(3,5),(6,4)],7) => 0
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => 0
([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7) => 0
([(1,6),(2,6),(3,4),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7) => 0
([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7) => 0
([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7) => 0
([(0,3),(1,6),(2,6),(3,4),(3,5)],7) => 0
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => 0
([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7) => 0
([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7) => 0
([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 0
([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7) => 0
([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 0
([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 0
([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => 0
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7) => 0
([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => 0
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 2
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => 0
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => 0
([(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 0
([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 3
([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => 0
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 2
([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7) => 0
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => 0
([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7) => 0
([(1,6),(2,6),(3,5),(4,5)],7) => 0
([(1,6),(2,6),(3,5),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7) => 0
([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7) => 0
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 0
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7) => 0
([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 0
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 0
([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 0
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 0
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 0
([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => 0
([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7) => 0
([(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 0
([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7) => 0
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 2
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => 0
([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 0
([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 3
([(0,6),(1,6),(2,5),(3,5),(6,4)],7) => 0
([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7) => 0
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => 0
([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7) => 0
([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 1
([(0,6),(1,6),(2,5),(3,4)],7) => 0
([(0,6),(1,6),(2,3),(4,5),(6,4)],7) => 0
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => 0
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => 0
([(0,6),(1,5),(2,5),(3,4),(5,6)],7) => 0
([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7) => 0
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 2
([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 4
([(0,6),(1,6),(2,5),(3,4),(3,6)],7) => 0
([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7) => 0
([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7) => 0
([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7) => 0
([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7) => 0
([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => 0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7) => 0
([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 0
([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7) => 0
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7) => 0
([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 0
([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => 0
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => 0
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7) => 0
([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7) => 0
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7) => 0
([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 0
([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 0
([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7) => 0
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => 0
([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7) => 0
([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7) => 0
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7) => 0
([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7) => 0
([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7) => 0
([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7) => 0
([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 0
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(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) => 0
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7) => 0
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7) => 0
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7) => 0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => 0
([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7) => 0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7) => 0
([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 0
([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 0
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => 0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7) => 0
([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7) => 0
([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7) => 0
([(0,6),(1,6),(2,4),(3,5),(5,6)],7) => 0
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 3
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 6
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 6
([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => 0
([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 2
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 2
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => 0
([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7) => 0
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 6
([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7) => 0
([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 4
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => 0
([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 6
([(3,6),(4,5)],7) => 0
([(3,6),(4,5),(4,6)],7) => 0
([(2,6),(3,4),(3,6),(4,5)],7) => 0
([(1,6),(2,3),(2,6),(3,4),(3,5)],7) => 0
([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7) => 0
([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7) => 0
([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7) => 0
([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7) => 0
([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => 0
([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7) => 0
([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7) => 0
([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7) => 0
([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7) => 0
([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7) => 0
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => 0
([(1,6),(2,3),(2,6),(3,5),(6,4)],7) => 0
([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7) => 0
([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7) => 0
([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7) => 0
([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => 0
([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7) => 0
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => 0
([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7) => 0
([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7) => 0
([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7) => 0
([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7) => 0
([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7) => 0
([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7) => 0
([(3,5),(3,6),(4,5),(4,6)],7) => 0
([(2,5),(2,6),(3,5),(3,6),(6,4)],7) => 0
([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7) => 0
([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 0
([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 0
([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7) => 0
([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7) => 0
([(1,5),(1,6),(2,5),(2,6),(3,4)],7) => 0
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7) => 0
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 0
([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 0
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => 0
([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 0
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7) => 0
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7) => 0
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 0
([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7) => 0
([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 0
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7) => 0
([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7) => 0
([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7) => 0
([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7) => 0
([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => 0
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7) => 0
([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 0
([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7) => 0
([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7) => 0
([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7) => 0
([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7) => 0
([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7) => 0
([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7) => 0
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7) => 0
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7) => 0
([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7) => 0
([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7) => 0
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7) => 0
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7) => 0
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 0
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => 0
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7) => 0
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7) => 0
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7) => 0
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => 0
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 0
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7) => 0
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7) => 0
([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 0
([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7) => 0
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7) => 0
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => 0
([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7) => 0
([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7) => 0
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => 0
([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7) => 0
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7) => 0
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7) => 0
([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7) => 0
([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7) => 0
([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7) => 0
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7) => 0
([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => 0
([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 0
([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 0
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7) => 0
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7) => 0
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => 0
([(2,6),(3,4),(3,6),(6,5)],7) => 0
([(1,6),(2,3),(2,6),(6,4),(6,5)],7) => 0
([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7) => 0
([(2,6),(3,4),(3,5)],7) => 0
([(2,6),(3,4),(3,5),(3,6)],7) => 0
([(1,6),(2,3),(2,4),(2,6),(4,5)],7) => 0
([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7) => 0
([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7) => 0
([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7) => 0
([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 0
([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7) => 0
([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7) => 0
([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7) => 0
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7) => 0
([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 0
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7) => 0
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7) => 0
([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7) => 0
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7) => 0
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7) => 0
([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7) => 0
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7) => 0
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7) => 0
([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7) => 0
([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => 0
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7) => 0
([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 0
([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => 0
([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7) => 0
([(1,6),(2,3),(2,4),(2,6),(6,5)],7) => 0
([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7) => 0
([(1,6),(2,3),(2,4),(2,5)],7) => 0
([(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 0
([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7) => 0
([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 0
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7) => 0
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(1,5)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7) => 0
([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7) => 0
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7) => 0
([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7) => 0
([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7) => 0
([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7) => 0
([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7) => 0
([(1,3),(1,4),(1,6),(5,2),(6,5)],7) => 0
([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 0
([(1,6),(2,3),(2,4),(2,5),(5,6)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7) => 0
([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7) => 0
([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7) => 0
([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7) => 0
([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7) => 0
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => 0
([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7) => 0
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7) => 0
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7) => 0
([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7) => 0
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7) => 0
([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7) => 0
([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7) => 0
([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7) => 0
([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7) => 0
-----------------------------------------------------------------------------
Created: Sep 11, 2015 at 22:37 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: Feb 24, 2021 at 11:08 by Martin Rubey