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* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
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-----------------------------------------------------------------------------
Statistic identifier: St000281
-----------------------------------------------------------------------------
Collection: Posets
-----------------------------------------------------------------------------
Description: The size of the preimage of the map 'to poset' from Binary trees to Posets.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def to_poset(elt, with_leaves=False, root_to_leaf=False):
if (not with_leaves) and (not elt):
# this case needs extra care :(
from sage.combinat.posets.posets import Poset
return Poset({})
return elt.as_ordered_tree(with_leaves).to_poset(root_to_leaf)
@cached_function
def preimages(level):
result = dict()
for el in BinaryTrees(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) => 2
([],3) => 0
([(1,2)],3) => 0
([(0,1),(0,2)],3) => 0
([(0,2),(2,1)],3) => 4
([(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) => 2
([(0,3),(1,3),(2,3)],4) => 0
([(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) => 8
([(0,3),(1,2),(2,3)],4) => 4
([],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) => 0
([(0,4),(1,4),(2,4),(3,4)],5) => 0
([(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) => 4
([(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) => 0
([(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) => 8
([(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) => 16
([(0,3),(1,2),(2,4),(3,4)],5) => 4
([(0,4),(1,2),(2,3),(3,4)],5) => 8
([(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) => 0
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
([(0,5),(1,5),(2,5),(3,4)],6) => 0
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 0
([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 0
([(0,5),(1,5),(2,5),(3,4),(3,5)],6) => 0
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 0
([(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) => 4
([(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) => 0
([(0,5),(1,5),(2,3),(3,4)],6) => 0
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 8
([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 4
([(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) => 0
([(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) => 4
([(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) => 0
([(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) => 8
([(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) => 16
([(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) => 32
([(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) => 16
([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 8
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 16
([(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) => 16
([(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) => 0
([],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) => 0
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
([(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) => 0
([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 0
([(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) => 0
([(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) => 0
([(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) => 0
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 0
([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7) => 0
([(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) => 0
([(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) => 0
([(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) => 0
([(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) => 0
([(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) => 0
([(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) => 0
([(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) => 8
([(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) => 32
([(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) => 0
([(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) => 16
([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 8
([(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) => 8
([(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) => 0
([(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) => 8
([(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) => 0
([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 0
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => 0
([(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) => 8
([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 8
([(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) => 0
([(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) => 16
([(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) => 0
([(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 22:27 by Martin Rubey
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Last Updated: Feb 24, 2021 at 11:05 by Martin Rubey