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------------------------------------------------------------------------
Map identifier: Mp00221
------------------------------------------------------------------------
Map name: conjugate
------------------------------------------------------------------------
Domain: Set partitions
------------------------------------------------------------------------
Codomain: Set partitions
------------------------------------------------------------------------
Description: The conjugate of a set partition.
This is an involution exchanging singletons and circular adjacencies due to [1].
------------------------------------------------------------------------
References: [1] Callan, D. On conjugates for set partitions and integer compositions [[arXiv:math/0508052]]
------------------------------------------------------------------------
Code:
def mapping(self):
# for sagemath 9.3 and later:
# return self.conjugate()
def next(a, support):
return support[(support.index(a)+1) % len(support)]
def addback(S, terminals, rsupport):
out = list(S)
for a in terminals*2:
if a not in out and next(a, rsupport) in out:
out.append(a)
return out
def pre_conjugate(sp):
if len(sp) <= 1:
return SetPartition([[a] for S in sp for a in S])
if sp.max_block_size() == 1:
return SetPartition([sp.base_set()])
support = sorted(a for S in sp for a in S)
initials = [a for S in sp for a in S if next(a,support) in S]
singletons = [a for S in sp for a in S if len(S) == 1]
if not initials and not singletons:
return sp
rho = pre_conjugate(
SetPartition([[a for a in S if a not in initials]
for S in sp if len(S)>1 and any(a not in initials for a in S)]))
# add back initials as singletons and singletons as terminals
return SetPartition([addback(S, singletons, support[::-1])
for S in rho]+[[a] for a in initials])
support = sorted(a for S in self for a in S)
return SetPartition([[support[-support.index(a)-1] for a in S]
for S in pre_conjugate(self)])
------------------------------------------------------------------------
Map images:
{{1}} => {{1}}
{{1,2}} => {{1},{2}}
{{1},{2}} => {{1,2}}
{{1,2,3}} => {{1},{2},{3}}
{{1,2},{3}} => {{1,2},{3}}
{{1,3},{2}} => {{1},{2,3}}
{{1},{2,3}} => {{1,3},{2}}
{{1},{2},{3}} => {{1,2,3}}
{{1,2,3,4}} => {{1},{2},{3},{4}}
{{1,2,3},{4}} => {{1,2},{3},{4}}
{{1,2,4},{3}} => {{1},{2,3},{4}}
{{1,2},{3,4}} => {{1,3},{2},{4}}
{{1,2},{3},{4}} => {{1,2,3},{4}}
{{1,3,4},{2}} => {{1},{2},{3,4}}
{{1,3},{2,4}} => {{1,3},{2,4}}
{{1,3},{2},{4}} => {{1,2},{3,4}}
{{1,4},{2,3}} => {{1},{2,4},{3}}
{{1},{2,3,4}} => {{1,4},{2},{3}}
{{1},{2,3},{4}} => {{1,2,4},{3}}
{{1,4},{2},{3}} => {{1},{2,3,4}}
{{1},{2,4},{3}} => {{1,4},{2,3}}
{{1},{2},{3,4}} => {{1,3,4},{2}}
{{1},{2},{3},{4}} => {{1,2,3,4}}
{{1,2,3,4,5}} => {{1},{2},{3},{4},{5}}
{{1,2,3,4},{5}} => {{1,2},{3},{4},{5}}
{{1,2,3,5},{4}} => {{1},{2,3},{4},{5}}
{{1,2,3},{4,5}} => {{1,3},{2},{4},{5}}
{{1,2,3},{4},{5}} => {{1,2,3},{4},{5}}
{{1,2,4,5},{3}} => {{1},{2},{3,4},{5}}
{{1,2,4},{3,5}} => {{1,3},{2,4},{5}}
{{1,2,4},{3},{5}} => {{1,2},{3,4},{5}}
{{1,2,5},{3,4}} => {{1},{2,4},{3},{5}}
{{1,2},{3,4,5}} => {{1,4},{2},{3},{5}}
{{1,2},{3,4},{5}} => {{1,2,4},{3},{5}}
{{1,2,5},{3},{4}} => {{1},{2,3,4},{5}}
{{1,2},{3,5},{4}} => {{1,4},{2,3},{5}}
{{1,2},{3},{4,5}} => {{1,3,4},{2},{5}}
{{1,2},{3},{4},{5}} => {{1,2,3,4},{5}}
{{1,3,4,5},{2}} => {{1},{2},{3},{4,5}}
{{1,3,4},{2,5}} => {{1,4},{2,5},{3}}
{{1,3,4},{2},{5}} => {{1,2},{3},{4,5}}
{{1,3,5},{2,4}} => {{1},{2,4},{3,5}}
{{1,3},{2,4,5}} => {{1,4},{2},{3,5}}
{{1,3},{2,4},{5}} => {{1,2,4},{3,5}}
{{1,3,5},{2},{4}} => {{1},{2,3},{4,5}}
{{1,3},{2,5},{4}} => {{1,4},{2,3,5}}
{{1,3},{2},{4,5}} => {{1,3},{2},{4,5}}
{{1,3},{2},{4},{5}} => {{1,2,3},{4,5}}
{{1,4,5},{2,3}} => {{1},{2},{3,5},{4}}
{{1,4},{2,3,5}} => {{1,3},{2,5},{4}}
{{1,4},{2,3},{5}} => {{1,2},{3,5},{4}}
{{1,5},{2,3,4}} => {{1},{2,5},{3},{4}}
{{1},{2,3,4,5}} => {{1,5},{2},{3},{4}}
{{1},{2,3,4},{5}} => {{1,2,5},{3},{4}}
{{1,5},{2,3},{4}} => {{1},{2,3,5},{4}}
{{1},{2,3,5},{4}} => {{1,5},{2,3},{4}}
{{1},{2,3},{4,5}} => {{1,3,5},{2},{4}}
{{1},{2,3},{4},{5}} => {{1,2,3,5},{4}}
{{1,4,5},{2},{3}} => {{1},{2},{3,4,5}}
{{1,4},{2,5},{3}} => {{1,3,4},{2,5}}
{{1,4},{2},{3,5}} => {{1,3},{2,4,5}}
{{1,4},{2},{3},{5}} => {{1,2},{3,4,5}}
{{1,5},{2,4},{3}} => {{1},{2,5},{3,4}}
{{1},{2,4,5},{3}} => {{1,5},{2},{3,4}}
{{1},{2,4},{3,5}} => {{1,3,5},{2,4}}
{{1},{2,4},{3},{5}} => {{1,2,5},{3,4}}
{{1,5},{2},{3,4}} => {{1},{2,4,5},{3}}
{{1},{2,5},{3,4}} => {{1,5},{2,4},{3}}
{{1},{2},{3,4,5}} => {{1,4,5},{2},{3}}
{{1},{2},{3,4},{5}} => {{1,2,4,5},{3}}
{{1,5},{2},{3},{4}} => {{1},{2,3,4,5}}
{{1},{2,5},{3},{4}} => {{1,5},{2,3,4}}
{{1},{2},{3,5},{4}} => {{1,4,5},{2,3}}
{{1},{2},{3},{4,5}} => {{1,3,4,5},{2}}
{{1},{2},{3},{4},{5}} => {{1,2,3,4,5}}
{{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}}
{{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}}
{{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}}
{{1,2,3,4},{5,6}} => {{1,3},{2},{4},{5},{6}}
{{1,2,3,4},{5},{6}} => {{1,2,3},{4},{5},{6}}
{{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}}
{{1,2,3,5},{4,6}} => {{1,3},{2,4},{5},{6}}
{{1,2,3,5},{4},{6}} => {{1,2},{3,4},{5},{6}}
{{1,2,3,6},{4,5}} => {{1},{2,4},{3},{5},{6}}
{{1,2,3},{4,5,6}} => {{1,4},{2},{3},{5},{6}}
{{1,2,3},{4,5},{6}} => {{1,2,4},{3},{5},{6}}
{{1,2,3,6},{4},{5}} => {{1},{2,3,4},{5},{6}}
{{1,2,3},{4,6},{5}} => {{1,4},{2,3},{5},{6}}
{{1,2,3},{4},{5,6}} => {{1,3,4},{2},{5},{6}}
{{1,2,3},{4},{5},{6}} => {{1,2,3,4},{5},{6}}
{{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}}
{{1,2,4,5},{3,6}} => {{1,4},{2,5},{3},{6}}
{{1,2,4,5},{3},{6}} => {{1,2},{3},{4,5},{6}}
{{1,2,4,6},{3,5}} => {{1},{2,4},{3,5},{6}}
{{1,2,4},{3,5,6}} => {{1,4},{2},{3,5},{6}}
{{1,2,4},{3,5},{6}} => {{1,2,4},{3,5},{6}}
{{1,2,4,6},{3},{5}} => {{1},{2,3},{4,5},{6}}
{{1,2,4},{3,6},{5}} => {{1,4},{2,3,5},{6}}
{{1,2,4},{3},{5,6}} => {{1,3},{2},{4,5},{6}}
{{1,2,4},{3},{5},{6}} => {{1,2,3},{4,5},{6}}
{{1,2,5,6},{3,4}} => {{1},{2},{3,5},{4},{6}}
{{1,2,5},{3,4,6}} => {{1,3},{2,5},{4},{6}}
{{1,2,5},{3,4},{6}} => {{1,2},{3,5},{4},{6}}
{{1,2,6},{3,4,5}} => {{1},{2,5},{3},{4},{6}}
{{1,2},{3,4,5,6}} => {{1,5},{2},{3},{4},{6}}
{{1,2},{3,4,5},{6}} => {{1,2,5},{3},{4},{6}}
{{1,2,6},{3,4},{5}} => {{1},{2,3,5},{4},{6}}
{{1,2},{3,4,6},{5}} => {{1,5},{2,3},{4},{6}}
{{1,2},{3,4},{5,6}} => {{1,3,5},{2},{4},{6}}
{{1,2},{3,4},{5},{6}} => {{1,2,3,5},{4},{6}}
{{1,2,5,6},{3},{4}} => {{1},{2},{3,4,5},{6}}
{{1,2,5},{3,6},{4}} => {{1,3,4},{2,5},{6}}
{{1,2,5},{3},{4,6}} => {{1,3},{2,4,5},{6}}
{{1,2,5},{3},{4},{6}} => {{1,2},{3,4,5},{6}}
{{1,2,6},{3,5},{4}} => {{1},{2,5},{3,4},{6}}
{{1,2},{3,5,6},{4}} => {{1,5},{2},{3,4},{6}}
{{1,2},{3,5},{4,6}} => {{1,3,5},{2,4},{6}}
{{1,2},{3,5},{4},{6}} => {{1,2,5},{3,4},{6}}
{{1,2,6},{3},{4,5}} => {{1},{2,4,5},{3},{6}}
{{1,2},{3,6},{4,5}} => {{1,5},{2,4},{3},{6}}
{{1,2},{3},{4,5,6}} => {{1,4,5},{2},{3},{6}}
{{1,2},{3},{4,5},{6}} => {{1,2,4,5},{3},{6}}
{{1,2,6},{3},{4},{5}} => {{1},{2,3,4,5},{6}}
{{1,2},{3,6},{4},{5}} => {{1,5},{2,3,4},{6}}
{{1,2},{3},{4,6},{5}} => {{1,4,5},{2,3},{6}}
{{1,2},{3},{4},{5,6}} => {{1,3,4,5},{2},{6}}
{{1,2},{3},{4},{5},{6}} => {{1,2,3,4,5},{6}}
{{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}}
{{1,3,4,5},{2,6}} => {{1,5},{2,6},{3},{4}}
{{1,3,4,5},{2},{6}} => {{1,2},{3},{4},{5,6}}
{{1,3,4,6},{2,5}} => {{1},{2,5},{3,6},{4}}
{{1,3,4},{2,5,6}} => {{1,5},{2},{3,6},{4}}
{{1,3,4},{2,5},{6}} => {{1,2,5},{3,6},{4}}
{{1,3,4,6},{2},{5}} => {{1},{2,3},{4},{5,6}}
{{1,3,4},{2,6},{5}} => {{1,5},{2,3,6},{4}}
{{1,3,4},{2},{5,6}} => {{1,3},{2},{4},{5,6}}
{{1,3,4},{2},{5},{6}} => {{1,2,3},{4},{5,6}}
{{1,3,5,6},{2,4}} => {{1},{2},{3,5},{4,6}}
{{1,3,5},{2,4,6}} => {{1,3,5},{2,4,6}}
{{1,3,5},{2,4},{6}} => {{1,2},{3,5},{4,6}}
{{1,3,6},{2,4,5}} => {{1},{2,5},{3},{4,6}}
{{1,3},{2,4,5,6}} => {{1,5},{2},{3},{4,6}}
{{1,3},{2,4,5},{6}} => {{1,2,5},{3},{4,6}}
{{1,3,6},{2,4},{5}} => {{1},{2,3,5},{4,6}}
{{1,3},{2,4,6},{5}} => {{1,5},{2,3},{4,6}}
{{1,3},{2,4},{5,6}} => {{1,3,5},{2},{4,6}}
{{1,3},{2,4},{5},{6}} => {{1,2,3,5},{4,6}}
{{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}}
{{1,3,5},{2,6},{4}} => {{1,5},{2,6},{3,4}}
{{1,3,5},{2},{4,6}} => {{1,3},{2,4},{5,6}}
{{1,3,5},{2},{4},{6}} => {{1,2},{3,4},{5,6}}
{{1,3,6},{2,5},{4}} => {{1},{2,5},{3,4,6}}
{{1,3},{2,5,6},{4}} => {{1,5},{2},{3,4,6}}
{{1,3},{2,5},{4,6}} => {{1,3},{2,5},{4,6}}
{{1,3},{2,5},{4},{6}} => {{1,2,5},{3,4,6}}
{{1,3,6},{2},{4,5}} => {{1},{2,4},{3},{5,6}}
{{1,3},{2,6},{4,5}} => {{1,5},{2,4,6},{3}}
{{1,3},{2},{4,5,6}} => {{1,4},{2},{3},{5,6}}
{{1,3},{2},{4,5},{6}} => {{1,2,4},{3},{5,6}}
{{1,3,6},{2},{4},{5}} => {{1},{2,3,4},{5,6}}
{{1,3},{2,6},{4},{5}} => {{1,5},{2,3,4,6}}
{{1,3},{2},{4,6},{5}} => {{1,4},{2,3},{5,6}}
{{1,3},{2},{4},{5,6}} => {{1,3,4},{2},{5,6}}
{{1,3},{2},{4},{5},{6}} => {{1,2,3,4},{5,6}}
{{1,4,5,6},{2,3}} => {{1},{2},{3},{4,6},{5}}
{{1,4,5},{2,3,6}} => {{1,4},{2,6},{3},{5}}
{{1,4,5},{2,3},{6}} => {{1,2},{3},{4,6},{5}}
{{1,4,6},{2,3,5}} => {{1},{2,4},{3,6},{5}}
{{1,4},{2,3,5,6}} => {{1,4},{2},{3,6},{5}}
{{1,4},{2,3,5},{6}} => {{1,2,4},{3,6},{5}}
{{1,4,6},{2,3},{5}} => {{1},{2,3},{4,6},{5}}
{{1,4},{2,3,6},{5}} => {{1,4},{2,3,6},{5}}
{{1,4},{2,3},{5,6}} => {{1,3},{2},{4,6},{5}}
{{1,4},{2,3},{5},{6}} => {{1,2,3},{4,6},{5}}
{{1,5,6},{2,3,4}} => {{1},{2},{3,6},{4},{5}}
{{1,5},{2,3,4,6}} => {{1,3},{2,6},{4},{5}}
{{1,5},{2,3,4},{6}} => {{1,2},{3,6},{4},{5}}
{{1,6},{2,3,4,5}} => {{1},{2,6},{3},{4},{5}}
{{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}}
{{1},{2,3,4,5},{6}} => {{1,2,6},{3},{4},{5}}
{{1,6},{2,3,4},{5}} => {{1},{2,3,6},{4},{5}}
{{1},{2,3,4,6},{5}} => {{1,6},{2,3},{4},{5}}
{{1},{2,3,4},{5,6}} => {{1,3,6},{2},{4},{5}}
{{1},{2,3,4},{5},{6}} => {{1,2,3,6},{4},{5}}
{{1,5,6},{2,3},{4}} => {{1},{2},{3,4,6},{5}}
{{1,5},{2,3,6},{4}} => {{1,3,4},{2,6},{5}}
{{1,5},{2,3},{4,6}} => {{1,3},{2,4,6},{5}}
{{1,5},{2,3},{4},{6}} => {{1,2},{3,4,6},{5}}
{{1,6},{2,3,5},{4}} => {{1},{2,6},{3,4},{5}}
{{1},{2,3,5,6},{4}} => {{1,6},{2},{3,4},{5}}
{{1},{2,3,5},{4,6}} => {{1,3,6},{2,4},{5}}
{{1},{2,3,5},{4},{6}} => {{1,2,6},{3,4},{5}}
{{1,6},{2,3},{4,5}} => {{1},{2,4,6},{3},{5}}
{{1},{2,3,6},{4,5}} => {{1,6},{2,4},{3},{5}}
{{1},{2,3},{4,5,6}} => {{1,4,6},{2},{3},{5}}
{{1},{2,3},{4,5},{6}} => {{1,2,4,6},{3},{5}}
{{1,6},{2,3},{4},{5}} => {{1},{2,3,4,6},{5}}
{{1},{2,3,6},{4},{5}} => {{1,6},{2,3,4},{5}}
{{1},{2,3},{4,6},{5}} => {{1,4,6},{2,3},{5}}
{{1},{2,3},{4},{5,6}} => {{1,3,4,6},{2},{5}}
{{1},{2,3},{4},{5},{6}} => {{1,2,3,4,6},{5}}
{{1,4,5,6},{2},{3}} => {{1},{2},{3},{4,5,6}}
{{1,4,5},{2,6},{3}} => {{1,4,5},{2,6},{3}}
{{1,4,5},{2},{3,6}} => {{1,4},{2,5,6},{3}}
{{1,4,5},{2},{3},{6}} => {{1,2},{3},{4,5,6}}
{{1,4,6},{2,5},{3}} => {{1},{2,4,5},{3,6}}
{{1,4},{2,5,6},{3}} => {{1,4,5},{2},{3,6}}
{{1,4},{2,5},{3,6}} => {{1,4},{2,5},{3,6}}
{{1,4},{2,5},{3},{6}} => {{1,2,4,5},{3,6}}
{{1,4,6},{2},{3,5}} => {{1},{2,4},{3,5,6}}
{{1,4},{2,6},{3,5}} => {{1,5},{2,4},{3,6}}
{{1,4},{2},{3,5,6}} => {{1,4},{2},{3,5,6}}
{{1,4},{2},{3,5},{6}} => {{1,2,4},{3,5,6}}
{{1,4,6},{2},{3},{5}} => {{1},{2,3},{4,5,6}}
{{1,4},{2,6},{3},{5}} => {{1,4,5},{2,3,6}}
{{1,4},{2},{3,6},{5}} => {{1,4},{2,3,5,6}}
{{1,4},{2},{3},{5,6}} => {{1,3},{2},{4,5,6}}
{{1,4},{2},{3},{5},{6}} => {{1,2,3},{4,5,6}}
{{1,5,6},{2,4},{3}} => {{1},{2},{3,6},{4,5}}
{{1,5},{2,4,6},{3}} => {{1,3},{2,6},{4,5}}
{{1,5},{2,4},{3,6}} => {{1,4},{2,6},{3,5}}
{{1,5},{2,4},{3},{6}} => {{1,2},{3,6},{4,5}}
{{1,6},{2,4,5},{3}} => {{1},{2,6},{3},{4,5}}
{{1},{2,4,5,6},{3}} => {{1,6},{2},{3},{4,5}}
{{1},{2,4,5},{3,6}} => {{1,4,6},{2,5},{3}}
{{1},{2,4,5},{3},{6}} => {{1,2,6},{3},{4,5}}
{{1,6},{2,4},{3,5}} => {{1},{2,4,6},{3,5}}
{{1},{2,4,6},{3,5}} => {{1,6},{2,4},{3,5}}
{{1},{2,4},{3,5,6}} => {{1,4,6},{2},{3,5}}
{{1},{2,4},{3,5},{6}} => {{1,2,4,6},{3,5}}
{{1,6},{2,4},{3},{5}} => {{1},{2,3,6},{4,5}}
{{1},{2,4,6},{3},{5}} => {{1,6},{2,3},{4,5}}
{{1},{2,4},{3,6},{5}} => {{1,4,6},{2,3,5}}
{{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}}
{{1},{2,4},{3},{5},{6}} => {{1,2,3,6},{4,5}}
{{1,5,6},{2},{3,4}} => {{1},{2},{3,5,6},{4}}
{{1,5},{2,6},{3,4}} => {{1,3,5},{2,6},{4}}
{{1,5},{2},{3,4,6}} => {{1,3},{2,5,6},{4}}
{{1,5},{2},{3,4},{6}} => {{1,2},{3,5,6},{4}}
{{1,6},{2,5},{3,4}} => {{1},{2,6},{3,5},{4}}
{{1},{2,5,6},{3,4}} => {{1,6},{2},{3,5},{4}}
{{1},{2,5},{3,4,6}} => {{1,3,6},{2,5},{4}}
{{1},{2,5},{3,4},{6}} => {{1,2,6},{3,5},{4}}
{{1,6},{2},{3,4,5}} => {{1},{2,5,6},{3},{4}}
{{1},{2,6},{3,4,5}} => {{1,6},{2,5},{3},{4}}
{{1},{2},{3,4,5,6}} => {{1,5,6},{2},{3},{4}}
{{1},{2},{3,4,5},{6}} => {{1,2,5,6},{3},{4}}
{{1,6},{2},{3,4},{5}} => {{1},{2,3,5,6},{4}}
{{1},{2,6},{3,4},{5}} => {{1,6},{2,3,5},{4}}
{{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}}
{{1},{2},{3,4},{5,6}} => {{1,3,5,6},{2},{4}}
{{1},{2},{3,4},{5},{6}} => {{1,2,3,5,6},{4}}
{{1,5,6},{2},{3},{4}} => {{1},{2},{3,4,5,6}}
{{1,5},{2,6},{3},{4}} => {{1,3,4,5},{2,6}}
{{1,5},{2},{3,6},{4}} => {{1,3,4},{2,5,6}}
{{1,5},{2},{3},{4,6}} => {{1,3},{2,4,5,6}}
{{1,5},{2},{3},{4},{6}} => {{1,2},{3,4,5,6}}
{{1,6},{2,5},{3},{4}} => {{1},{2,6},{3,4,5}}
{{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}}
{{1},{2,5},{3,6},{4}} => {{1,3,4,6},{2,5}}
{{1},{2,5},{3},{4,6}} => {{1,3,6},{2,4,5}}
{{1},{2,5},{3},{4},{6}} => {{1,2,6},{3,4,5}}
{{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3,4}}
{{1},{2,6},{3,5},{4}} => {{1,6},{2,5},{3,4}}
{{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}}
{{1},{2},{3,5},{4,6}} => {{1,3,5,6},{2,4}}
{{1},{2},{3,5},{4},{6}} => {{1,2,5,6},{3,4}}
{{1,6},{2},{3},{4,5}} => {{1},{2,4,5,6},{3}}
{{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}}
{{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}}
{{1},{2},{3},{4,5,6}} => {{1,4,5,6},{2},{3}}
{{1},{2},{3},{4,5},{6}} => {{1,2,4,5,6},{3}}
{{1,6},{2},{3},{4},{5}} => {{1},{2,3,4,5,6}}
{{1},{2,6},{3},{4},{5}} => {{1,6},{2,3,4,5}}
{{1},{2},{3,6},{4},{5}} => {{1,5,6},{2,3,4}}
{{1},{2},{3},{4,6},{5}} => {{1,4,5,6},{2,3}}
{{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}}
{{1},{2},{3},{4},{5},{6}} => {{1,2,3,4,5,6}}
{{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}}
{{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}}
{{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}}
{{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}}
{{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}}
{{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}}
{{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}}
{{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}}
{{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}}
{{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}}
{{1,2,3,4},{5,6},{7}} => {{1,2,4},{3},{5},{6},{7}}
{{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}}
{{1,2,3,4},{5,7},{6}} => {{1,4},{2,3},{5},{6},{7}}
{{1,2,3,4},{5},{6,7}} => {{1,3,4},{2},{5},{6},{7}}
{{1,2,3,4},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}}
{{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}}
{{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}}
{{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}}
{{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}}
{{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}}
{{1,2,3,5},{4,6},{7}} => {{1,2,4},{3,5},{6},{7}}
{{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}}
{{1,2,3,5},{4,7},{6}} => {{1,4},{2,3,5},{6},{7}}
{{1,2,3,5},{4},{6,7}} => {{1,3},{2},{4,5},{6},{7}}
{{1,2,3,5},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7}}
{{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}}
{{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}}
{{1,2,3,6},{4,5},{7}} => {{1,2},{3,5},{4},{6},{7}}
{{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}}
{{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}}
{{1,2,3},{4,5,6},{7}} => {{1,2,5},{3},{4},{6},{7}}
{{1,2,3,7},{4,5},{6}} => {{1},{2,3,5},{4},{6},{7}}
{{1,2,3},{4,5,7},{6}} => {{1,5},{2,3},{4},{6},{7}}
{{1,2,3},{4,5},{6,7}} => {{1,3,5},{2},{4},{6},{7}}
{{1,2,3},{4,5},{6},{7}} => {{1,2,3,5},{4},{6},{7}}
{{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}}
{{1,2,3,6},{4,7},{5}} => {{1,3,4},{2,5},{6},{7}}
{{1,2,3,6},{4},{5,7}} => {{1,3},{2,4,5},{6},{7}}
{{1,2,3,6},{4},{5},{7}} => {{1,2},{3,4,5},{6},{7}}
{{1,2,3,7},{4,6},{5}} => {{1},{2,5},{3,4},{6},{7}}
{{1,2,3},{4,6,7},{5}} => {{1,5},{2},{3,4},{6},{7}}
{{1,2,3},{4,6},{5,7}} => {{1,3,5},{2,4},{6},{7}}
{{1,2,3},{4,6},{5},{7}} => {{1,2,5},{3,4},{6},{7}}
{{1,2,3,7},{4},{5,6}} => {{1},{2,4,5},{3},{6},{7}}
{{1,2,3},{4,7},{5,6}} => {{1,5},{2,4},{3},{6},{7}}
{{1,2,3},{4},{5,6,7}} => {{1,4,5},{2},{3},{6},{7}}
{{1,2,3},{4},{5,6},{7}} => {{1,2,4,5},{3},{6},{7}}
{{1,2,3,7},{4},{5},{6}} => {{1},{2,3,4,5},{6},{7}}
{{1,2,3},{4,7},{5},{6}} => {{1,5},{2,3,4},{6},{7}}
{{1,2,3},{4},{5,7},{6}} => {{1,4,5},{2,3},{6},{7}}
{{1,2,3},{4},{5},{6,7}} => {{1,3,4,5},{2},{6},{7}}
{{1,2,3},{4},{5},{6},{7}} => {{1,2,3,4,5},{6},{7}}
{{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}}
{{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}}
{{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}}
{{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}}
{{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}}
{{1,2,4,5},{3,6},{7}} => {{1,2,5},{3,6},{4},{7}}
{{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}}
{{1,2,4,5},{3,7},{6}} => {{1,5},{2,3,6},{4},{7}}
{{1,2,4,5},{3},{6,7}} => {{1,3},{2},{4},{5,6},{7}}
{{1,2,4,5},{3},{6},{7}} => {{1,2,3},{4},{5,6},{7}}
{{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}}
{{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}}
{{1,2,4,6},{3,5},{7}} => {{1,2},{3,5},{4,6},{7}}
{{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}}
{{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}}
{{1,2,4},{3,5,6},{7}} => {{1,2,5},{3},{4,6},{7}}
{{1,2,4,7},{3,5},{6}} => {{1},{2,3,5},{4,6},{7}}
{{1,2,4},{3,5,7},{6}} => {{1,5},{2,3},{4,6},{7}}
{{1,2,4},{3,5},{6,7}} => {{1,3,5},{2},{4,6},{7}}
{{1,2,4},{3,5},{6},{7}} => {{1,2,3,5},{4,6},{7}}
{{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}}
{{1,2,4,6},{3,7},{5}} => {{1,5},{2,6},{3,4},{7}}
{{1,2,4,6},{3},{5,7}} => {{1,3},{2,4},{5,6},{7}}
{{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}}
{{1,2,4,7},{3,6},{5}} => {{1},{2,5},{3,4,6},{7}}
{{1,2,4},{3,6,7},{5}} => {{1,5},{2},{3,4,6},{7}}
{{1,2,4},{3,6},{5,7}} => {{1,3},{2,5},{4,6},{7}}
{{1,2,4},{3,6},{5},{7}} => {{1,2,5},{3,4,6},{7}}
{{1,2,4,7},{3},{5,6}} => {{1},{2,4},{3},{5,6},{7}}
{{1,2,4},{3,7},{5,6}} => {{1,5},{2,4,6},{3},{7}}
{{1,2,4},{3},{5,6,7}} => {{1,4},{2},{3},{5,6},{7}}
{{1,2,4},{3},{5,6},{7}} => {{1,2,4},{3},{5,6},{7}}
{{1,2,4,7},{3},{5},{6}} => {{1},{2,3,4},{5,6},{7}}
{{1,2,4},{3,7},{5},{6}} => {{1,5},{2,3,4,6},{7}}
{{1,2,4},{3},{5,7},{6}} => {{1,4},{2,3},{5,6},{7}}
{{1,2,4},{3},{5},{6,7}} => {{1,3,4},{2},{5,6},{7}}
{{1,2,4},{3},{5},{6},{7}} => {{1,2,3,4},{5,6},{7}}
{{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}}
{{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}}
{{1,2,5,6},{3,4},{7}} => {{1,2},{3},{4,6},{5},{7}}
{{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}}
{{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}}
{{1,2,5},{3,4,6},{7}} => {{1,2,4},{3,6},{5},{7}}
{{1,2,5,7},{3,4},{6}} => {{1},{2,3},{4,6},{5},{7}}
{{1,2,5},{3,4,7},{6}} => {{1,4},{2,3,6},{5},{7}}
{{1,2,5},{3,4},{6,7}} => {{1,3},{2},{4,6},{5},{7}}
{{1,2,5},{3,4},{6},{7}} => {{1,2,3},{4,6},{5},{7}}
{{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}}
{{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}}
{{1,2,6},{3,4,5},{7}} => {{1,2},{3,6},{4},{5},{7}}
{{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}}
{{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}}
{{1,2},{3,4,5,6},{7}} => {{1,2,6},{3},{4},{5},{7}}
{{1,2,7},{3,4,5},{6}} => {{1},{2,3,6},{4},{5},{7}}
{{1,2},{3,4,5,7},{6}} => {{1,6},{2,3},{4},{5},{7}}
{{1,2},{3,4,5},{6,7}} => {{1,3,6},{2},{4},{5},{7}}
{{1,2},{3,4,5},{6},{7}} => {{1,2,3,6},{4},{5},{7}}
{{1,2,6,7},{3,4},{5}} => {{1},{2},{3,4,6},{5},{7}}
{{1,2,6},{3,4,7},{5}} => {{1,3,4},{2,6},{5},{7}}
{{1,2,6},{3,4},{5,7}} => {{1,3},{2,4,6},{5},{7}}
{{1,2,6},{3,4},{5},{7}} => {{1,2},{3,4,6},{5},{7}}
{{1,2,7},{3,4,6},{5}} => {{1},{2,6},{3,4},{5},{7}}
{{1,2},{3,4,6,7},{5}} => {{1,6},{2},{3,4},{5},{7}}
{{1,2},{3,4,6},{5,7}} => {{1,3,6},{2,4},{5},{7}}
{{1,2},{3,4,6},{5},{7}} => {{1,2,6},{3,4},{5},{7}}
{{1,2,7},{3,4},{5,6}} => {{1},{2,4,6},{3},{5},{7}}
{{1,2},{3,4,7},{5,6}} => {{1,6},{2,4},{3},{5},{7}}
{{1,2},{3,4},{5,6,7}} => {{1,4,6},{2},{3},{5},{7}}
{{1,2},{3,4},{5,6},{7}} => {{1,2,4,6},{3},{5},{7}}
{{1,2,7},{3,4},{5},{6}} => {{1},{2,3,4,6},{5},{7}}
{{1,2},{3,4,7},{5},{6}} => {{1,6},{2,3,4},{5},{7}}
{{1,2},{3,4},{5,7},{6}} => {{1,4,6},{2,3},{5},{7}}
{{1,2},{3,4},{5},{6,7}} => {{1,3,4,6},{2},{5},{7}}
{{1,2},{3,4},{5},{6},{7}} => {{1,2,3,4,6},{5},{7}}
{{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}}
{{1,2,5,6},{3,7},{4}} => {{1,4,5},{2,6},{3},{7}}
{{1,2,5,6},{3},{4,7}} => {{1,4},{2,5,6},{3},{7}}
{{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}}
{{1,2,5,7},{3,6},{4}} => {{1},{2,4,5},{3,6},{7}}
{{1,2,5},{3,6,7},{4}} => {{1,4,5},{2},{3,6},{7}}
{{1,2,5},{3,6},{4,7}} => {{1,4},{2,5},{3,6},{7}}
{{1,2,5},{3,6},{4},{7}} => {{1,2,4,5},{3,6},{7}}
{{1,2,5,7},{3},{4,6}} => {{1},{2,4},{3,5,6},{7}}
{{1,2,5},{3,7},{4,6}} => {{1,5},{2,4},{3,6},{7}}
{{1,2,5},{3},{4,6,7}} => {{1,4},{2},{3,5,6},{7}}
{{1,2,5},{3},{4,6},{7}} => {{1,2,4},{3,5,6},{7}}
{{1,2,5,7},{3},{4},{6}} => {{1},{2,3},{4,5,6},{7}}
{{1,2,5},{3,7},{4},{6}} => {{1,4,5},{2,3,6},{7}}
{{1,2,5},{3},{4,7},{6}} => {{1,4},{2,3,5,6},{7}}
{{1,2,5},{3},{4},{6,7}} => {{1,3},{2},{4,5,6},{7}}
{{1,2,5},{3},{4},{6},{7}} => {{1,2,3},{4,5,6},{7}}
{{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}}
{{1,2,6},{3,5,7},{4}} => {{1,3},{2,6},{4,5},{7}}
{{1,2,6},{3,5},{4,7}} => {{1,4},{2,6},{3,5},{7}}
{{1,2,6},{3,5},{4},{7}} => {{1,2},{3,6},{4,5},{7}}
{{1,2,7},{3,5,6},{4}} => {{1},{2,6},{3},{4,5},{7}}
{{1,2},{3,5,6,7},{4}} => {{1,6},{2},{3},{4,5},{7}}
{{1,2},{3,5,6},{4,7}} => {{1,4,6},{2,5},{3},{7}}
{{1,2},{3,5,6},{4},{7}} => {{1,2,6},{3},{4,5},{7}}
{{1,2,7},{3,5},{4,6}} => {{1},{2,4,6},{3,5},{7}}
{{1,2},{3,5,7},{4,6}} => {{1,6},{2,4},{3,5},{7}}
{{1,2},{3,5},{4,6,7}} => {{1,4,6},{2},{3,5},{7}}
{{1,2},{3,5},{4,6},{7}} => {{1,2,4,6},{3,5},{7}}
{{1,2,7},{3,5},{4},{6}} => {{1},{2,3,6},{4,5},{7}}
{{1,2},{3,5,7},{4},{6}} => {{1,6},{2,3},{4,5},{7}}
{{1,2},{3,5},{4,7},{6}} => {{1,4,6},{2,3,5},{7}}
{{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}}
{{1,2},{3,5},{4},{6},{7}} => {{1,2,3,6},{4,5},{7}}
{{1,2,6,7},{3},{4,5}} => {{1},{2},{3,5,6},{4},{7}}
{{1,2,6},{3,7},{4,5}} => {{1,3,5},{2,6},{4},{7}}
{{1,2,6},{3},{4,5,7}} => {{1,3},{2,5,6},{4},{7}}
{{1,2,6},{3},{4,5},{7}} => {{1,2},{3,5,6},{4},{7}}
{{1,2,7},{3,6},{4,5}} => {{1},{2,6},{3,5},{4},{7}}
{{1,2},{3,6,7},{4,5}} => {{1,6},{2},{3,5},{4},{7}}
{{1,2},{3,6},{4,5,7}} => {{1,3,6},{2,5},{4},{7}}
{{1,2},{3,6},{4,5},{7}} => {{1,2,6},{3,5},{4},{7}}
{{1,2,7},{3},{4,5,6}} => {{1},{2,5,6},{3},{4},{7}}
{{1,2},{3,7},{4,5,6}} => {{1,6},{2,5},{3},{4},{7}}
{{1,2},{3},{4,5,6,7}} => {{1,5,6},{2},{3},{4},{7}}
{{1,2},{3},{4,5,6},{7}} => {{1,2,5,6},{3},{4},{7}}
{{1,2,7},{3},{4,5},{6}} => {{1},{2,3,5,6},{4},{7}}
{{1,2},{3,7},{4,5},{6}} => {{1,6},{2,3,5},{4},{7}}
{{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}}
{{1,2},{3},{4,5},{6,7}} => {{1,3,5,6},{2},{4},{7}}
{{1,2},{3},{4,5},{6},{7}} => {{1,2,3,5,6},{4},{7}}
{{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}}
{{1,2,6},{3,7},{4},{5}} => {{1,3,4,5},{2,6},{7}}
{{1,2,6},{3},{4,7},{5}} => {{1,3,4},{2,5,6},{7}}
{{1,2,6},{3},{4},{5,7}} => {{1,3},{2,4,5,6},{7}}
{{1,2,6},{3},{4},{5},{7}} => {{1,2},{3,4,5,6},{7}}
{{1,2,7},{3,6},{4},{5}} => {{1},{2,6},{3,4,5},{7}}
{{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}}
{{1,2},{3,6},{4,7},{5}} => {{1,3,4,6},{2,5},{7}}
{{1,2},{3,6},{4},{5,7}} => {{1,3,6},{2,4,5},{7}}
{{1,2},{3,6},{4},{5},{7}} => {{1,2,6},{3,4,5},{7}}
{{1,2,7},{3},{4,6},{5}} => {{1},{2,5,6},{3,4},{7}}
{{1,2},{3,7},{4,6},{5}} => {{1,6},{2,5},{3,4},{7}}
{{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}}
{{1,2},{3},{4,6},{5,7}} => {{1,3,5,6},{2,4},{7}}
{{1,2},{3},{4,6},{5},{7}} => {{1,2,5,6},{3,4},{7}}
{{1,2,7},{3},{4},{5,6}} => {{1},{2,4,5,6},{3},{7}}
{{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}}
{{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}}
{{1,2},{3},{4},{5,6,7}} => {{1,4,5,6},{2},{3},{7}}
{{1,2},{3},{4},{5,6},{7}} => {{1,2,4,5,6},{3},{7}}
{{1,2,7},{3},{4},{5},{6}} => {{1},{2,3,4,5,6},{7}}
{{1,2},{3,7},{4},{5},{6}} => {{1,6},{2,3,4,5},{7}}
{{1,2},{3},{4,7},{5},{6}} => {{1,5,6},{2,3,4},{7}}
{{1,2},{3},{4},{5,7},{6}} => {{1,4,5,6},{2,3},{7}}
{{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}}
{{1,2},{3},{4},{5},{6},{7}} => {{1,2,3,4,5,6},{7}}
{{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}}
{{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}}
{{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}}
{{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}}
{{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}}
{{1,3,4,5},{2,6},{7}} => {{1,2,6},{3,7},{4},{5}}
{{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}}
{{1,3,4,5},{2,7},{6}} => {{1,6},{2,3,7},{4},{5}}
{{1,3,4,5},{2},{6,7}} => {{1,3},{2},{4},{5},{6,7}}
{{1,3,4,5},{2},{6},{7}} => {{1,2,3},{4},{5},{6,7}}
{{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}}
{{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}}
{{1,3,4,6},{2,5},{7}} => {{1,2},{3,6},{4,7},{5}}
{{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}}
{{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}}
{{1,3,4},{2,5,6},{7}} => {{1,2,6},{3},{4,7},{5}}
{{1,3,4,7},{2,5},{6}} => {{1},{2,3,6},{4,7},{5}}
{{1,3,4},{2,5,7},{6}} => {{1,6},{2,3},{4,7},{5}}
{{1,3,4},{2,5},{6,7}} => {{1,3,6},{2},{4,7},{5}}
{{1,3,4},{2,5},{6},{7}} => {{1,2,3,6},{4,7},{5}}
{{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}}
{{1,3,4,6},{2,7},{5}} => {{1,6},{2,7},{3,4},{5}}
{{1,3,4,6},{2},{5,7}} => {{1,3},{2,4},{5},{6,7}}
{{1,3,4,6},{2},{5},{7}} => {{1,2},{3,4},{5},{6,7}}
{{1,3,4,7},{2,6},{5}} => {{1},{2,6},{3,4,7},{5}}
{{1,3,4},{2,6,7},{5}} => {{1,6},{2},{3,4,7},{5}}
{{1,3,4},{2,6},{5,7}} => {{1,3},{2,6},{4,7},{5}}
{{1,3,4},{2,6},{5},{7}} => {{1,2,6},{3,4,7},{5}}
{{1,3,4,7},{2},{5,6}} => {{1},{2,4},{3},{5},{6,7}}
{{1,3,4},{2,7},{5,6}} => {{1,6},{2,4,7},{3},{5}}
{{1,3,4},{2},{5,6,7}} => {{1,4},{2},{3},{5},{6,7}}
{{1,3,4},{2},{5,6},{7}} => {{1,2,4},{3},{5},{6,7}}
{{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}}
{{1,3,4},{2,7},{5},{6}} => {{1,6},{2,3,4,7},{5}}
{{1,3,4},{2},{5,7},{6}} => {{1,4},{2,3},{5},{6,7}}
{{1,3,4},{2},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}}
{{1,3,4},{2},{5},{6},{7}} => {{1,2,3,4},{5},{6,7}}
{{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}}
{{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}}
{{1,3,5,6},{2,4},{7}} => {{1,2},{3},{4,6},{5,7}}
{{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}}
{{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}}
{{1,3,5},{2,4,6},{7}} => {{1,2,4,6},{3,5,7}}
{{1,3,5,7},{2,4},{6}} => {{1},{2,3},{4,6},{5,7}}
{{1,3,5},{2,4,7},{6}} => {{1,4,6},{2,3,5,7}}
{{1,3,5},{2,4},{6,7}} => {{1,3},{2},{4,6},{5,7}}
{{1,3,5},{2,4},{6},{7}} => {{1,2,3},{4,6},{5,7}}
{{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}}
{{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}}
{{1,3,6},{2,4,5},{7}} => {{1,2},{3,6},{4},{5,7}}
{{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}}
{{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}}
{{1,3},{2,4,5,6},{7}} => {{1,2,6},{3},{4},{5,7}}
{{1,3,7},{2,4,5},{6}} => {{1},{2,3,6},{4},{5,7}}
{{1,3},{2,4,5,7},{6}} => {{1,6},{2,3},{4},{5,7}}
{{1,3},{2,4,5},{6,7}} => {{1,3,6},{2},{4},{5,7}}
{{1,3},{2,4,5},{6},{7}} => {{1,2,3,6},{4},{5,7}}
{{1,3,6,7},{2,4},{5}} => {{1},{2},{3,4,6},{5,7}}
{{1,3,6},{2,4,7},{5}} => {{1,3,4,6},{2,5,7}}
{{1,3,6},{2,4},{5,7}} => {{1,3},{2,5,7},{4,6}}
{{1,3,6},{2,4},{5},{7}} => {{1,2},{3,4,6},{5,7}}
{{1,3,7},{2,4,6},{5}} => {{1},{2,6},{3,4},{5,7}}
{{1,3},{2,4,6,7},{5}} => {{1,6},{2},{3,4},{5,7}}
{{1,3},{2,4,6},{5,7}} => {{1,3},{2,4,6},{5,7}}
{{1,3},{2,4,6},{5},{7}} => {{1,2,6},{3,4},{5,7}}
{{1,3,7},{2,4},{5,6}} => {{1},{2,4,6},{3},{5,7}}
{{1,3},{2,4,7},{5,6}} => {{1,6},{2,4},{3},{5,7}}
{{1,3},{2,4},{5,6,7}} => {{1,4,6},{2},{3},{5,7}}
{{1,3},{2,4},{5,6},{7}} => {{1,2,4,6},{3},{5,7}}
{{1,3,7},{2,4},{5},{6}} => {{1},{2,3,4,6},{5,7}}
{{1,3},{2,4,7},{5},{6}} => {{1,6},{2,3,4},{5,7}}
{{1,3},{2,4},{5,7},{6}} => {{1,4,6},{2,3},{5,7}}
{{1,3},{2,4},{5},{6,7}} => {{1,3,4,6},{2},{5,7}}
{{1,3},{2,4},{5},{6},{7}} => {{1,2,3,4,6},{5,7}}
{{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}}
{{1,3,5,6},{2,7},{4}} => {{1,6},{2,7},{3},{4,5}}
{{1,3,5,6},{2},{4,7}} => {{1,4},{2,5},{3},{6,7}}
{{1,3,5,6},{2},{4},{7}} => {{1,2},{3},{4,5},{6,7}}
{{1,3,5,7},{2,6},{4}} => {{1},{2,6},{3,7},{4,5}}
{{1,3,5},{2,6,7},{4}} => {{1,6},{2},{3,7},{4,5}}
{{1,3,5},{2,6},{4,7}} => {{1,4},{2,6},{3,5,7}}
{{1,3,5},{2,6},{4},{7}} => {{1,2,6},{3,7},{4,5}}
{{1,3,5,7},{2},{4,6}} => {{1},{2,4},{3,5},{6,7}}
{{1,3,5},{2,7},{4,6}} => {{1,6},{2,4},{3,5,7}}
{{1,3,5},{2},{4,6,7}} => {{1,4},{2},{3,5},{6,7}}
{{1,3,5},{2},{4,6},{7}} => {{1,2,4},{3,5},{6,7}}
{{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}}
{{1,3,5},{2,7},{4},{6}} => {{1,6},{2,3,7},{4,5}}
{{1,3,5},{2},{4,7},{6}} => {{1,4},{2,3,5},{6,7}}
{{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}}
{{1,3,5},{2},{4},{6},{7}} => {{1,2,3},{4,5},{6,7}}
{{1,3,6,7},{2,5},{4}} => {{1},{2},{3,6},{4,5,7}}
{{1,3,6},{2,5,7},{4}} => {{1,3,6},{2,4,5,7}}
{{1,3,6},{2,5},{4,7}} => {{1,4},{2,5,7},{3,6}}
{{1,3,6},{2,5},{4},{7}} => {{1,2},{3,6},{4,5,7}}
{{1,3,7},{2,5,6},{4}} => {{1},{2,6},{3},{4,5,7}}
{{1,3},{2,5,6,7},{4}} => {{1,6},{2},{3},{4,5,7}}
{{1,3},{2,5,6},{4,7}} => {{1,4},{2,6},{3},{5,7}}
{{1,3},{2,5,6},{4},{7}} => {{1,2,6},{3},{4,5,7}}
{{1,3,7},{2,5},{4,6}} => {{1},{2,4},{3,6},{5,7}}
{{1,3},{2,5,7},{4,6}} => {{1,3,6},{2,4},{5,7}}
{{1,3},{2,5},{4,6,7}} => {{1,4},{2},{3,6},{5,7}}
{{1,3},{2,5},{4,6},{7}} => {{1,2,4},{3,6},{5,7}}
{{1,3,7},{2,5},{4},{6}} => {{1},{2,3,6},{4,5,7}}
{{1,3},{2,5,7},{4},{6}} => {{1,6},{2,3},{4,5,7}}
{{1,3},{2,5},{4,7},{6}} => {{1,4},{2,3,6},{5,7}}
{{1,3},{2,5},{4},{6,7}} => {{1,3,6},{2},{4,5,7}}
{{1,3},{2,5},{4},{6},{7}} => {{1,2,3,6},{4,5,7}}
{{1,3,6,7},{2},{4,5}} => {{1},{2},{3,5},{4},{6,7}}
{{1,3,6},{2,7},{4,5}} => {{1,6},{2,7},{3,5},{4}}
{{1,3,6},{2},{4,5,7}} => {{1,3},{2,5},{4},{6,7}}
{{1,3,6},{2},{4,5},{7}} => {{1,2},{3,5},{4},{6,7}}
{{1,3,7},{2,6},{4,5}} => {{1},{2,6},{3,5,7},{4}}
{{1,3},{2,6,7},{4,5}} => {{1,6},{2},{3,5,7},{4}}
{{1,3},{2,6},{4,5,7}} => {{1,3},{2,6},{4},{5,7}}
{{1,3},{2,6},{4,5},{7}} => {{1,2,6},{3,5,7},{4}}
{{1,3,7},{2},{4,5,6}} => {{1},{2,5},{3},{4},{6,7}}
{{1,3},{2,7},{4,5,6}} => {{1,6},{2,5,7},{3},{4}}
{{1,3},{2},{4,5,6,7}} => {{1,5},{2},{3},{4},{6,7}}
{{1,3},{2},{4,5,6},{7}} => {{1,2,5},{3},{4},{6,7}}
{{1,3,7},{2},{4,5},{6}} => {{1},{2,3,5},{4},{6,7}}
{{1,3},{2,7},{4,5},{6}} => {{1,6},{2,3,5,7},{4}}
{{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}}
{{1,3},{2},{4,5},{6,7}} => {{1,3,5},{2},{4},{6,7}}
{{1,3},{2},{4,5},{6},{7}} => {{1,2,3,5},{4},{6,7}}
{{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}}
{{1,3,6},{2,7},{4},{5}} => {{1,6},{2,7},{3,4,5}}
{{1,3,6},{2},{4,7},{5}} => {{1,3,4},{2,5},{6,7}}
{{1,3,6},{2},{4},{5,7}} => {{1,3},{2,4,5},{6,7}}
{{1,3,6},{2},{4},{5},{7}} => {{1,2},{3,4,5},{6,7}}
{{1,3,7},{2,6},{4},{5}} => {{1},{2,6},{3,4,5,7}}
{{1,3},{2,6,7},{4},{5}} => {{1,6},{2},{3,4,5,7}}
{{1,3},{2,6},{4,7},{5}} => {{1,3,4},{2,6},{5,7}}
{{1,3},{2,6},{4},{5,7}} => {{1,3},{2,6},{4,5,7}}
{{1,3},{2,6},{4},{5},{7}} => {{1,2,6},{3,4,5,7}}
{{1,3,7},{2},{4,6},{5}} => {{1},{2,5},{3,4},{6,7}}
{{1,3},{2,7},{4,6},{5}} => {{1,6},{2,5,7},{3,4}}
{{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}}
{{1,3},{2},{4,6},{5,7}} => {{1,3,5},{2,4},{6,7}}
{{1,3},{2},{4,6},{5},{7}} => {{1,2,5},{3,4},{6,7}}
{{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}}
{{1,3},{2,7},{4},{5,6}} => {{1,6},{2,4,5,7},{3}}
{{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}}
{{1,3},{2},{4},{5,6,7}} => {{1,4,5},{2},{3},{6,7}}
{{1,3},{2},{4},{5,6},{7}} => {{1,2,4,5},{3},{6,7}}
{{1,3,7},{2},{4},{5},{6}} => {{1},{2,3,4,5},{6,7}}
{{1,3},{2,7},{4},{5},{6}} => {{1,6},{2,3,4,5,7}}
{{1,3},{2},{4,7},{5},{6}} => {{1,5},{2,3,4},{6,7}}
{{1,3},{2},{4},{5,7},{6}} => {{1,4,5},{2,3},{6,7}}
{{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}}
{{1,3},{2},{4},{5},{6},{7}} => {{1,2,3,4,5},{6,7}}
{{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}}
{{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}}
{{1,4,5,6},{2,3},{7}} => {{1,2},{3},{4},{5,7},{6}}
{{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}}
{{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}}
{{1,4,5},{2,3,6},{7}} => {{1,2,5},{3,7},{4},{6}}
{{1,4,5,7},{2,3},{6}} => {{1},{2,3},{4},{5,7},{6}}
{{1,4,5},{2,3,7},{6}} => {{1,5},{2,3,7},{4},{6}}
{{1,4,5},{2,3},{6,7}} => {{1,3},{2},{4},{5,7},{6}}
{{1,4,5},{2,3},{6},{7}} => {{1,2,3},{4},{5,7},{6}}
{{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}}
{{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}}
{{1,4,6},{2,3,5},{7}} => {{1,2},{3,5},{4,7},{6}}
{{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}}
{{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}}
{{1,4},{2,3,5,6},{7}} => {{1,2,5},{3},{4,7},{6}}
{{1,4,7},{2,3,5},{6}} => {{1},{2,3,5},{4,7},{6}}
{{1,4},{2,3,5,7},{6}} => {{1,5},{2,3},{4,7},{6}}
{{1,4},{2,3,5},{6,7}} => {{1,3,5},{2},{4,7},{6}}
{{1,4},{2,3,5},{6},{7}} => {{1,2,3,5},{4,7},{6}}
{{1,4,6,7},{2,3},{5}} => {{1},{2},{3,4},{5,7},{6}}
{{1,4,6},{2,3,7},{5}} => {{1,5},{2,7},{3,4},{6}}
{{1,4,6},{2,3},{5,7}} => {{1,3},{2,4},{5,7},{6}}
{{1,4,6},{2,3},{5},{7}} => {{1,2},{3,4},{5,7},{6}}
{{1,4,7},{2,3,6},{5}} => {{1},{2,5},{3,4,7},{6}}
{{1,4},{2,3,6,7},{5}} => {{1,5},{2},{3,4,7},{6}}
{{1,4},{2,3,6},{5,7}} => {{1,3},{2,5},{4,7},{6}}
{{1,4},{2,3,6},{5},{7}} => {{1,2,5},{3,4,7},{6}}
{{1,4,7},{2,3},{5,6}} => {{1},{2,4},{3},{5,7},{6}}
{{1,4},{2,3,7},{5,6}} => {{1,5},{2,4,7},{3},{6}}
{{1,4},{2,3},{5,6,7}} => {{1,4},{2},{3},{5,7},{6}}
{{1,4},{2,3},{5,6},{7}} => {{1,2,4},{3},{5,7},{6}}
{{1,4,7},{2,3},{5},{6}} => {{1},{2,3,4},{5,7},{6}}
{{1,4},{2,3,7},{5},{6}} => {{1,5},{2,3,4,7},{6}}
{{1,4},{2,3},{5,7},{6}} => {{1,4},{2,3},{5,7},{6}}
{{1,4},{2,3},{5},{6,7}} => {{1,3,4},{2},{5,7},{6}}
{{1,4},{2,3},{5},{6},{7}} => {{1,2,3,4},{5,7},{6}}
{{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}}
{{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}}
{{1,5,6},{2,3,4},{7}} => {{1,2},{3},{4,7},{5},{6}}
{{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}}
{{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}}
{{1,5},{2,3,4,6},{7}} => {{1,2,4},{3,7},{5},{6}}
{{1,5,7},{2,3,4},{6}} => {{1},{2,3},{4,7},{5},{6}}
{{1,5},{2,3,4,7},{6}} => {{1,4},{2,3,7},{5},{6}}
{{1,5},{2,3,4},{6,7}} => {{1,3},{2},{4,7},{5},{6}}
{{1,5},{2,3,4},{6},{7}} => {{1,2,3},{4,7},{5},{6}}
{{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}}
{{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}}
{{1,6},{2,3,4,5},{7}} => {{1,2},{3,7},{4},{5},{6}}
{{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}}
{{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}}
{{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}}
{{1,7},{2,3,4,5},{6}} => {{1},{2,3,7},{4},{5},{6}}
{{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}}
{{1},{2,3,4,5},{6,7}} => {{1,3,7},{2},{4},{5},{6}}
{{1},{2,3,4,5},{6},{7}} => {{1,2,3,7},{4},{5},{6}}
{{1,6,7},{2,3,4},{5}} => {{1},{2},{3,4,7},{5},{6}}
{{1,6},{2,3,4,7},{5}} => {{1,3,4},{2,7},{5},{6}}
{{1,6},{2,3,4},{5,7}} => {{1,3},{2,4,7},{5},{6}}
{{1,6},{2,3,4},{5},{7}} => {{1,2},{3,4,7},{5},{6}}
{{1,7},{2,3,4,6},{5}} => {{1},{2,7},{3,4},{5},{6}}
{{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}}
{{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4},{5},{6}}
{{1},{2,3,4,6},{5},{7}} => {{1,2,7},{3,4},{5},{6}}
{{1,7},{2,3,4},{5,6}} => {{1},{2,4,7},{3},{5},{6}}
{{1},{2,3,4,7},{5,6}} => {{1,7},{2,4},{3},{5},{6}}
{{1},{2,3,4},{5,6,7}} => {{1,4,7},{2},{3},{5},{6}}
{{1},{2,3,4},{5,6},{7}} => {{1,2,4,7},{3},{5},{6}}
{{1,7},{2,3,4},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
{{1},{2,3,4,7},{5},{6}} => {{1,7},{2,3,4},{5},{6}}
{{1},{2,3,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}}
{{1},{2,3,4},{5},{6,7}} => {{1,3,4,7},{2},{5},{6}}
{{1},{2,3,4},{5},{6},{7}} => {{1,2,3,4,7},{5},{6}}
{{1,5,6,7},{2,3},{4}} => {{1},{2},{3},{4,5,7},{6}}
{{1,5,6},{2,3,7},{4}} => {{1,4,5},{2,7},{3},{6}}
{{1,5,6},{2,3},{4,7}} => {{1,4},{2,5,7},{3},{6}}
{{1,5,6},{2,3},{4},{7}} => {{1,2},{3},{4,5,7},{6}}
{{1,5,7},{2,3,6},{4}} => {{1},{2,4,5},{3,7},{6}}
{{1,5},{2,3,6,7},{4}} => {{1,4,5},{2},{3,7},{6}}
{{1,5},{2,3,6},{4,7}} => {{1,4},{2,5},{3,7},{6}}
{{1,5},{2,3,6},{4},{7}} => {{1,2,4,5},{3,7},{6}}
{{1,5,7},{2,3},{4,6}} => {{1},{2,4},{3,5,7},{6}}
{{1,5},{2,3,7},{4,6}} => {{1,5},{2,4},{3,7},{6}}
{{1,5},{2,3},{4,6,7}} => {{1,4},{2},{3,5,7},{6}}
{{1,5},{2,3},{4,6},{7}} => {{1,2,4},{3,5,7},{6}}
{{1,5,7},{2,3},{4},{6}} => {{1},{2,3},{4,5,7},{6}}
{{1,5},{2,3,7},{4},{6}} => {{1,4,5},{2,3,7},{6}}
{{1,5},{2,3},{4,7},{6}} => {{1,4},{2,3,5,7},{6}}
{{1,5},{2,3},{4},{6,7}} => {{1,3},{2},{4,5,7},{6}}
{{1,5},{2,3},{4},{6},{7}} => {{1,2,3},{4,5,7},{6}}
{{1,6,7},{2,3,5},{4}} => {{1},{2},{3,7},{4,5},{6}}
{{1,6},{2,3,5,7},{4}} => {{1,3},{2,7},{4,5},{6}}
{{1,6},{2,3,5},{4,7}} => {{1,4},{2,7},{3,5},{6}}
{{1,6},{2,3,5},{4},{7}} => {{1,2},{3,7},{4,5},{6}}
{{1,7},{2,3,5,6},{4}} => {{1},{2,7},{3},{4,5},{6}}
{{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}}
{{1},{2,3,5,6},{4,7}} => {{1,4,7},{2,5},{3},{6}}
{{1},{2,3,5,6},{4},{7}} => {{1,2,7},{3},{4,5},{6}}
{{1,7},{2,3,5},{4,6}} => {{1},{2,4,7},{3,5},{6}}
{{1},{2,3,5,7},{4,6}} => {{1,7},{2,4},{3,5},{6}}
{{1},{2,3,5},{4,6,7}} => {{1,4,7},{2},{3,5},{6}}
{{1},{2,3,5},{4,6},{7}} => {{1,2,4,7},{3,5},{6}}
{{1,7},{2,3,5},{4},{6}} => {{1},{2,3,7},{4,5},{6}}
{{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}}
{{1},{2,3,5},{4,7},{6}} => {{1,4,7},{2,3,5},{6}}
{{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}}
{{1},{2,3,5},{4},{6},{7}} => {{1,2,3,7},{4,5},{6}}
{{1,6,7},{2,3},{4,5}} => {{1},{2},{3,5,7},{4},{6}}
{{1,6},{2,3,7},{4,5}} => {{1,3,5},{2,7},{4},{6}}
{{1,6},{2,3},{4,5,7}} => {{1,3},{2,5,7},{4},{6}}
{{1,6},{2,3},{4,5},{7}} => {{1,2},{3,5,7},{4},{6}}
{{1,7},{2,3,6},{4,5}} => {{1},{2,7},{3,5},{4},{6}}
{{1},{2,3,6,7},{4,5}} => {{1,7},{2},{3,5},{4},{6}}
{{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4},{6}}
{{1},{2,3,6},{4,5},{7}} => {{1,2,7},{3,5},{4},{6}}
{{1,7},{2,3},{4,5,6}} => {{1},{2,5,7},{3},{4},{6}}
{{1},{2,3,7},{4,5,6}} => {{1,7},{2,5},{3},{4},{6}}
{{1},{2,3},{4,5,6,7}} => {{1,5,7},{2},{3},{4},{6}}
{{1},{2,3},{4,5,6},{7}} => {{1,2,5,7},{3},{4},{6}}
{{1,7},{2,3},{4,5},{6}} => {{1},{2,3,5,7},{4},{6}}
{{1},{2,3,7},{4,5},{6}} => {{1,7},{2,3,5},{4},{6}}
{{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}}
{{1},{2,3},{4,5},{6,7}} => {{1,3,5,7},{2},{4},{6}}
{{1},{2,3},{4,5},{6},{7}} => {{1,2,3,5,7},{4},{6}}
{{1,6,7},{2,3},{4},{5}} => {{1},{2},{3,4,5,7},{6}}
{{1,6},{2,3,7},{4},{5}} => {{1,3,4,5},{2,7},{6}}
{{1,6},{2,3},{4,7},{5}} => {{1,3,4},{2,5,7},{6}}
{{1,6},{2,3},{4},{5,7}} => {{1,3},{2,4,5,7},{6}}
{{1,6},{2,3},{4},{5},{7}} => {{1,2},{3,4,5,7},{6}}
{{1,7},{2,3,6},{4},{5}} => {{1},{2,7},{3,4,5},{6}}
{{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}}
{{1},{2,3,6},{4,7},{5}} => {{1,3,4,7},{2,5},{6}}
{{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}}
{{1},{2,3,6},{4},{5},{7}} => {{1,2,7},{3,4,5},{6}}
{{1,7},{2,3},{4,6},{5}} => {{1},{2,5,7},{3,4},{6}}
{{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}}
{{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}}
{{1},{2,3},{4,6},{5,7}} => {{1,3,5,7},{2,4},{6}}
{{1},{2,3},{4,6},{5},{7}} => {{1,2,5,7},{3,4},{6}}
{{1,7},{2,3},{4},{5,6}} => {{1},{2,4,5,7},{3},{6}}
{{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}}
{{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}}
{{1},{2,3},{4},{5,6,7}} => {{1,4,5,7},{2},{3},{6}}
{{1},{2,3},{4},{5,6},{7}} => {{1,2,4,5,7},{3},{6}}
{{1,7},{2,3},{4},{5},{6}} => {{1},{2,3,4,5,7},{6}}
{{1},{2,3,7},{4},{5},{6}} => {{1,7},{2,3,4,5},{6}}
{{1},{2,3},{4,7},{5},{6}} => {{1,5,7},{2,3,4},{6}}
{{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}}
{{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}}
{{1},{2,3},{4},{5},{6},{7}} => {{1,2,3,4,5,7},{6}}
{{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}}
{{1,4,5,6},{2,7},{3}} => {{1,5,6},{2,7},{3},{4}}
{{1,4,5,6},{2},{3,7}} => {{1,5},{2,6,7},{3},{4}}
{{1,4,5,6},{2},{3},{7}} => {{1,2},{3},{4},{5,6,7}}
{{1,4,5,7},{2,6},{3}} => {{1},{2,5,6},{3,7},{4}}
{{1,4,5},{2,6,7},{3}} => {{1,5,6},{2},{3,7},{4}}
{{1,4,5},{2,6},{3,7}} => {{1,5},{2,6},{3,7},{4}}
{{1,4,5},{2,6},{3},{7}} => {{1,2,5,6},{3,7},{4}}
{{1,4,5,7},{2},{3,6}} => {{1},{2,5},{3,6,7},{4}}
{{1,4,5},{2,7},{3,6}} => {{1,6},{2,5},{3,7},{4}}
{{1,4,5},{2},{3,6,7}} => {{1,5},{2},{3,6,7},{4}}
{{1,4,5},{2},{3,6},{7}} => {{1,2,5},{3,6,7},{4}}
{{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}}
{{1,4,5},{2,7},{3},{6}} => {{1,5,6},{2,3,7},{4}}
{{1,4,5},{2},{3,7},{6}} => {{1,5},{2,3,6,7},{4}}
{{1,4,5},{2},{3},{6,7}} => {{1,3},{2},{4},{5,6,7}}
{{1,4,5},{2},{3},{6},{7}} => {{1,2,3},{4},{5,6,7}}
{{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}}
{{1,4,6},{2,5,7},{3}} => {{1,3,5,6},{2,4,7}}
{{1,4,6},{2,5},{3,7}} => {{1,5},{2,4,7},{3,6}}
{{1,4,6},{2,5},{3},{7}} => {{1,2},{3,5,6},{4,7}}
{{1,4,7},{2,5,6},{3}} => {{1},{2,5,6},{3},{4,7}}
{{1,4},{2,5,6,7},{3}} => {{1,5,6},{2},{3},{4,7}}
{{1,4},{2,5,6},{3,7}} => {{1,5},{2,6},{3},{4,7}}
{{1,4},{2,5,6},{3},{7}} => {{1,2,5,6},{3},{4,7}}
{{1,4,7},{2,5},{3,6}} => {{1},{2,5},{3,6},{4,7}}
{{1,4},{2,5,7},{3,6}} => {{1,3,6},{2,5},{4,7}}
{{1,4},{2,5},{3,6,7}} => {{1,5},{2},{3,6},{4,7}}
{{1,4},{2,5},{3,6},{7}} => {{1,2,5},{3,6},{4,7}}
{{1,4,7},{2,5},{3},{6}} => {{1},{2,3,5,6},{4,7}}
{{1,4},{2,5,7},{3},{6}} => {{1,5,6},{2,3},{4,7}}
{{1,4},{2,5},{3,7},{6}} => {{1,5},{2,3,6},{4,7}}
{{1,4},{2,5},{3},{6,7}} => {{1,3,5,6},{2},{4,7}}
{{1,4},{2,5},{3},{6},{7}} => {{1,2,3,5,6},{4,7}}
{{1,4,6,7},{2},{3,5}} => {{1},{2},{3,5},{4,6,7}}
{{1,4,6},{2,7},{3,5}} => {{1,6},{2,4,7},{3,5}}
{{1,4,6},{2},{3,5,7}} => {{1,3,5},{2,4,6,7}}
{{1,4,6},{2},{3,5},{7}} => {{1,2},{3,5},{4,6,7}}
{{1,4,7},{2,6},{3,5}} => {{1},{2,6},{3,5},{4,7}}
{{1,4},{2,6,7},{3,5}} => {{1,6},{2},{3,5},{4,7}}
{{1,4},{2,6},{3,5,7}} => {{1,3,5},{2,6},{4,7}}
{{1,4},{2,6},{3,5},{7}} => {{1,2,6},{3,5},{4,7}}
{{1,4,7},{2},{3,5,6}} => {{1},{2,5},{3},{4,6,7}}
{{1,4},{2,7},{3,5,6}} => {{1,6},{2,5},{3},{4,7}}
{{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3},{4,6,7}}
{{1,4},{2},{3,5,6},{7}} => {{1,2,5},{3},{4,6,7}}
{{1,4,7},{2},{3,5},{6}} => {{1},{2,3,5},{4,6,7}}
{{1,4},{2,7},{3,5},{6}} => {{1,6},{2,3,5},{4,7}}
{{1,4},{2},{3,5,7},{6}} => {{1,5},{2,3},{4,6,7}}
{{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}}
{{1,4},{2},{3,5},{6},{7}} => {{1,2,3,5},{4,6,7}}
{{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}}
{{1,4,6},{2,7},{3},{5}} => {{1,5,6},{2,7},{3,4}}
{{1,4,6},{2},{3,7},{5}} => {{1,5},{2,6,7},{3,4}}
{{1,4,6},{2},{3},{5,7}} => {{1,3},{2,4},{5,6,7}}
{{1,4,6},{2},{3},{5},{7}} => {{1,2},{3,4},{5,6,7}}
{{1,4,7},{2,6},{3},{5}} => {{1},{2,5,6},{3,4,7}}
{{1,4},{2,6,7},{3},{5}} => {{1,5,6},{2},{3,4,7}}
{{1,4},{2,6},{3,7},{5}} => {{1,5},{2,6},{3,4,7}}
{{1,4},{2,6},{3},{5,7}} => {{1,3},{2,5,6},{4,7}}
{{1,4},{2,6},{3},{5},{7}} => {{1,2,5,6},{3,4,7}}
{{1,4,7},{2},{3,6},{5}} => {{1},{2,5},{3,4,6,7}}
{{1,4},{2,7},{3,6},{5}} => {{1,6},{2,5},{3,4,7}}
{{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}}
{{1,4},{2},{3,6},{5,7}} => {{1,3},{2,5},{4,6,7}}
{{1,4},{2},{3,6},{5},{7}} => {{1,2,5},{3,4,6,7}}
{{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}}
{{1,4},{2,7},{3},{5,6}} => {{1,5,6},{2,4,7},{3}}
{{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}}
{{1,4},{2},{3},{5,6,7}} => {{1,4},{2},{3},{5,6,7}}
{{1,4},{2},{3},{5,6},{7}} => {{1,2,4},{3},{5,6,7}}
{{1,4,7},{2},{3},{5},{6}} => {{1},{2,3,4},{5,6,7}}
{{1,4},{2,7},{3},{5},{6}} => {{1,5,6},{2,3,4,7}}
{{1,4},{2},{3,7},{5},{6}} => {{1,5},{2,3,4,6,7}}
{{1,4},{2},{3},{5,7},{6}} => {{1,4},{2,3},{5,6,7}}
{{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}}
{{1,4},{2},{3},{5},{6},{7}} => {{1,2,3,4},{5,6,7}}
{{1,5,6,7},{2,4},{3}} => {{1},{2},{3},{4,7},{5,6}}
{{1,5,6},{2,4,7},{3}} => {{1,4},{2,7},{3},{5,6}}
{{1,5,6},{2,4},{3,7}} => {{1,5},{2,7},{3},{4,6}}
{{1,5,6},{2,4},{3},{7}} => {{1,2},{3},{4,7},{5,6}}
{{1,5,7},{2,4,6},{3}} => {{1},{2,4},{3,7},{5,6}}
{{1,5},{2,4,6,7},{3}} => {{1,4},{2},{3,7},{5,6}}
{{1,5},{2,4,6},{3,7}} => {{1,5},{2,4,6},{3,7}}
{{1,5},{2,4,6},{3},{7}} => {{1,2,4},{3,7},{5,6}}
{{1,5,7},{2,4},{3,6}} => {{1},{2,5},{3,7},{4,6}}
{{1,5},{2,4,7},{3,6}} => {{1,4,6},{2,5},{3,7}}
{{1,5},{2,4},{3,6,7}} => {{1,5},{2},{3,7},{4,6}}
{{1,5},{2,4},{3,6},{7}} => {{1,2,5},{3,7},{4,6}}
{{1,5,7},{2,4},{3},{6}} => {{1},{2,3},{4,7},{5,6}}
{{1,5},{2,4,7},{3},{6}} => {{1,4},{2,3,7},{5,6}}
{{1,5},{2,4},{3,7},{6}} => {{1,5},{2,3,7},{4,6}}
{{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}}
{{1,5},{2,4},{3},{6},{7}} => {{1,2,3},{4,7},{5,6}}
{{1,6,7},{2,4,5},{3}} => {{1},{2},{3,7},{4},{5,6}}
{{1,6},{2,4,5,7},{3}} => {{1,3},{2,7},{4},{5,6}}
{{1,6},{2,4,5},{3,7}} => {{1,5},{2,7},{3,6},{4}}
{{1,6},{2,4,5},{3},{7}} => {{1,2},{3,7},{4},{5,6}}
{{1,7},{2,4,5,6},{3}} => {{1},{2,7},{3},{4},{5,6}}
{{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}}
{{1},{2,4,5,6},{3,7}} => {{1,5,7},{2,6},{3},{4}}
{{1},{2,4,5,6},{3},{7}} => {{1,2,7},{3},{4},{5,6}}
{{1,7},{2,4,5},{3,6}} => {{1},{2,5,7},{3,6},{4}}
{{1},{2,4,5,7},{3,6}} => {{1,7},{2,5},{3,6},{4}}
{{1},{2,4,5},{3,6,7}} => {{1,5,7},{2},{3,6},{4}}
{{1},{2,4,5},{3,6},{7}} => {{1,2,5,7},{3,6},{4}}
{{1,7},{2,4,5},{3},{6}} => {{1},{2,3,7},{4},{5,6}}
{{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}}
{{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}}
{{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}}
{{1},{2,4,5},{3},{6},{7}} => {{1,2,3,7},{4},{5,6}}
{{1,6,7},{2,4},{3,5}} => {{1},{2},{3,5,7},{4,6}}
{{1,6},{2,4,7},{3,5}} => {{1,4,6},{2,7},{3,5}}
{{1,6},{2,4},{3,5,7}} => {{1,3,5},{2,7},{4,6}}
{{1,6},{2,4},{3,5},{7}} => {{1,2},{3,5,7},{4,6}}
{{1,7},{2,4,6},{3,5}} => {{1},{2,7},{3,5},{4,6}}
{{1},{2,4,6,7},{3,5}} => {{1,7},{2},{3,5},{4,6}}
{{1},{2,4,6},{3,5,7}} => {{1,3,5,7},{2,4,6}}
{{1},{2,4,6},{3,5},{7}} => {{1,2,7},{3,5},{4,6}}
{{1,7},{2,4},{3,5,6}} => {{1},{2,5,7},{3},{4,6}}
{{1},{2,4,7},{3,5,6}} => {{1,7},{2,5},{3},{4,6}}
{{1},{2,4},{3,5,6,7}} => {{1,5,7},{2},{3},{4,6}}
{{1},{2,4},{3,5,6},{7}} => {{1,2,5,7},{3},{4,6}}
{{1,7},{2,4},{3,5},{6}} => {{1},{2,3,5,7},{4,6}}
{{1},{2,4,7},{3,5},{6}} => {{1,7},{2,3,5},{4,6}}
{{1},{2,4},{3,5,7},{6}} => {{1,5,7},{2,3},{4,6}}
{{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}}
{{1},{2,4},{3,5},{6},{7}} => {{1,2,3,5,7},{4,6}}
{{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}}
{{1,6},{2,4,7},{3},{5}} => {{1,3,4},{2,7},{5,6}}
{{1,6},{2,4},{3,7},{5}} => {{1,5},{2,7},{3,4,6}}
{{1,6},{2,4},{3},{5,7}} => {{1,3},{2,4,7},{5,6}}
{{1,6},{2,4},{3},{5},{7}} => {{1,2},{3,4,7},{5,6}}
{{1,7},{2,4,6},{3},{5}} => {{1},{2,7},{3,4},{5,6}}
{{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}}
{{1},{2,4,6},{3,7},{5}} => {{1,5,7},{2,6},{3,4}}
{{1},{2,4,6},{3},{5,7}} => {{1,3,7},{2,4},{5,6}}
{{1},{2,4,6},{3},{5},{7}} => {{1,2,7},{3,4},{5,6}}
{{1,7},{2,4},{3,6},{5}} => {{1},{2,5,7},{3,4,6}}
{{1},{2,4,7},{3,6},{5}} => {{1,7},{2,5},{3,4,6}}
{{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}}
{{1},{2,4},{3,6},{5,7}} => {{1,3,7},{2,5},{4,6}}
{{1},{2,4},{3,6},{5},{7}} => {{1,2,5,7},{3,4,6}}
{{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}}
{{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}}
{{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}}
{{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}}
{{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}}
{{1,7},{2,4},{3},{5},{6}} => {{1},{2,3,4,7},{5,6}}
{{1},{2,4,7},{3},{5},{6}} => {{1,7},{2,3,4},{5,6}}
{{1},{2,4},{3,7},{5},{6}} => {{1,5,7},{2,3,4,6}}
{{1},{2,4},{3},{5,7},{6}} => {{1,4,7},{2,3},{5,6}}
{{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}}
{{1},{2,4},{3},{5},{6},{7}} => {{1,2,3,4,7},{5,6}}
{{1,5,6,7},{2},{3,4}} => {{1},{2},{3},{4,6,7},{5}}
{{1,5,6},{2,7},{3,4}} => {{1,4,6},{2,7},{3},{5}}
{{1,5,6},{2},{3,4,7}} => {{1,4},{2,6,7},{3},{5}}
{{1,5,6},{2},{3,4},{7}} => {{1,2},{3},{4,6,7},{5}}
{{1,5,7},{2,6},{3,4}} => {{1},{2,4,6},{3,7},{5}}
{{1,5},{2,6,7},{3,4}} => {{1,4,6},{2},{3,7},{5}}
{{1,5},{2,6},{3,4,7}} => {{1,4},{2,6},{3,7},{5}}
{{1,5},{2,6},{3,4},{7}} => {{1,2,4,6},{3,7},{5}}
{{1,5,7},{2},{3,4,6}} => {{1},{2,4},{3,6,7},{5}}
{{1,5},{2,7},{3,4,6}} => {{1,6},{2,4},{3,7},{5}}
{{1,5},{2},{3,4,6,7}} => {{1,4},{2},{3,6,7},{5}}
{{1,5},{2},{3,4,6},{7}} => {{1,2,4},{3,6,7},{5}}
{{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}}
{{1,5},{2,7},{3,4},{6}} => {{1,4,6},{2,3,7},{5}}
{{1,5},{2},{3,4,7},{6}} => {{1,4},{2,3,6,7},{5}}
{{1,5},{2},{3,4},{6,7}} => {{1,3},{2},{4,6,7},{5}}
{{1,5},{2},{3,4},{6},{7}} => {{1,2,3},{4,6,7},{5}}
{{1,6,7},{2,5},{3,4}} => {{1},{2},{3,7},{4,6},{5}}
{{1,6},{2,5,7},{3,4}} => {{1,3},{2,7},{4,6},{5}}
{{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,6},{5}}
{{1,6},{2,5},{3,4},{7}} => {{1,2},{3,7},{4,6},{5}}
{{1,7},{2,5,6},{3,4}} => {{1},{2,7},{3},{4,6},{5}}
{{1},{2,5,6,7},{3,4}} => {{1,7},{2},{3},{4,6},{5}}
{{1},{2,5,6},{3,4,7}} => {{1,4,7},{2,6},{3},{5}}
{{1},{2,5,6},{3,4},{7}} => {{1,2,7},{3},{4,6},{5}}
{{1,7},{2,5},{3,4,6}} => {{1},{2,4,7},{3,6},{5}}
{{1},{2,5,7},{3,4,6}} => {{1,7},{2,4},{3,6},{5}}
{{1},{2,5},{3,4,6,7}} => {{1,4,7},{2},{3,6},{5}}
{{1},{2,5},{3,4,6},{7}} => {{1,2,4,7},{3,6},{5}}
{{1,7},{2,5},{3,4},{6}} => {{1},{2,3,7},{4,6},{5}}
{{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}}
{{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}}
{{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}}
{{1},{2,5},{3,4},{6},{7}} => {{1,2,3,7},{4,6},{5}}
{{1,6,7},{2},{3,4,5}} => {{1},{2},{3,6,7},{4},{5}}
{{1,6},{2,7},{3,4,5}} => {{1,3,6},{2,7},{4},{5}}
{{1,6},{2},{3,4,5,7}} => {{1,3},{2,6,7},{4},{5}}
{{1,6},{2},{3,4,5},{7}} => {{1,2},{3,6,7},{4},{5}}
{{1,7},{2,6},{3,4,5}} => {{1},{2,7},{3,6},{4},{5}}
{{1},{2,6,7},{3,4,5}} => {{1,7},{2},{3,6},{4},{5}}
{{1},{2,6},{3,4,5,7}} => {{1,3,7},{2,6},{4},{5}}
{{1},{2,6},{3,4,5},{7}} => {{1,2,7},{3,6},{4},{5}}
{{1,7},{2},{3,4,5,6}} => {{1},{2,6,7},{3},{4},{5}}
{{1},{2,7},{3,4,5,6}} => {{1,7},{2,6},{3},{4},{5}}
{{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}}
{{1},{2},{3,4,5,6},{7}} => {{1,2,6,7},{3},{4},{5}}
{{1,7},{2},{3,4,5},{6}} => {{1},{2,3,6,7},{4},{5}}
{{1},{2,7},{3,4,5},{6}} => {{1,7},{2,3,6},{4},{5}}
{{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}}
{{1},{2},{3,4,5},{6,7}} => {{1,3,6,7},{2},{4},{5}}
{{1},{2},{3,4,5},{6},{7}} => {{1,2,3,6,7},{4},{5}}
{{1,6,7},{2},{3,4},{5}} => {{1},{2},{3,4,6,7},{5}}
{{1,6},{2,7},{3,4},{5}} => {{1,3,4,6},{2,7},{5}}
{{1,6},{2},{3,4,7},{5}} => {{1,3,4},{2,6,7},{5}}
{{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}}
{{1,6},{2},{3,4},{5},{7}} => {{1,2},{3,4,6,7},{5}}
{{1,7},{2,6},{3,4},{5}} => {{1},{2,7},{3,4,6},{5}}
{{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}}
{{1},{2,6},{3,4,7},{5}} => {{1,3,4,7},{2,6},{5}}
{{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}}
{{1},{2,6},{3,4},{5},{7}} => {{1,2,7},{3,4,6},{5}}
{{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}}
{{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}}
{{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}}
{{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}}
{{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}}
{{1,7},{2},{3,4},{5,6}} => {{1},{2,4,6,7},{3},{5}}
{{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}}
{{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}}
{{1},{2},{3,4},{5,6,7}} => {{1,4,6,7},{2},{3},{5}}
{{1},{2},{3,4},{5,6},{7}} => {{1,2,4,6,7},{3},{5}}
{{1,7},{2},{3,4},{5},{6}} => {{1},{2,3,4,6,7},{5}}
{{1},{2,7},{3,4},{5},{6}} => {{1,7},{2,3,4,6},{5}}
{{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}}
{{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}}
{{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}}
{{1},{2},{3,4},{5},{6},{7}} => {{1,2,3,4,6,7},{5}}
{{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}}
{{1,5,6},{2,7},{3},{4}} => {{1,4,5,6},{2,7},{3}}
{{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}}
{{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}}
{{1,5,6},{2},{3},{4},{7}} => {{1,2},{3},{4,5,6,7}}
{{1,5,7},{2,6},{3},{4}} => {{1},{2,4,5,6},{3,7}}
{{1,5},{2,6,7},{3},{4}} => {{1,4,5,6},{2},{3,7}}
{{1,5},{2,6},{3,7},{4}} => {{1,4,5},{2,6},{3,7}}
{{1,5},{2,6},{3},{4,7}} => {{1,4},{2,5,6},{3,7}}
{{1,5},{2,6},{3},{4},{7}} => {{1,2,4,5,6},{3,7}}
{{1,5,7},{2},{3,6},{4}} => {{1},{2,4,5},{3,6,7}}
{{1,5},{2,7},{3,6},{4}} => {{1,6},{2,4,5},{3,7}}
{{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}}
{{1,5},{2},{3,6},{4,7}} => {{1,4},{2,5},{3,6,7}}
{{1,5},{2},{3,6},{4},{7}} => {{1,2,4,5},{3,6,7}}
{{1,5,7},{2},{3},{4,6}} => {{1},{2,4},{3,5,6,7}}
{{1,5},{2,7},{3},{4,6}} => {{1,5,6},{2,4},{3,7}}
{{1,5},{2},{3,7},{4,6}} => {{1,5},{2,4},{3,6,7}}
{{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}}
{{1,5},{2},{3},{4,6},{7}} => {{1,2,4},{3,5,6,7}}
{{1,5,7},{2},{3},{4},{6}} => {{1},{2,3},{4,5,6,7}}
{{1,5},{2,7},{3},{4},{6}} => {{1,4,5,6},{2,3,7}}
{{1,5},{2},{3,7},{4},{6}} => {{1,4,5},{2,3,6,7}}
{{1,5},{2},{3},{4,7},{6}} => {{1,4},{2,3,5,6,7}}
{{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}}
{{1,5},{2},{3},{4},{6},{7}} => {{1,2,3},{4,5,6,7}}
{{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}}
{{1,6},{2,5,7},{3},{4}} => {{1,3},{2,7},{4,5,6}}
{{1,6},{2,5},{3,7},{4}} => {{1,4,5},{2,7},{3,6}}
{{1,6},{2,5},{3},{4,7}} => {{1,4},{2,7},{3,5,6}}
{{1,6},{2,5},{3},{4},{7}} => {{1,2},{3,7},{4,5,6}}
{{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}}
{{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}}
{{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}}
{{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}}
{{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}}
{{1,7},{2,5},{3,6},{4}} => {{1},{2,4,5,7},{3,6}}
{{1},{2,5,7},{3,6},{4}} => {{1,7},{2,4,5},{3,6}}
{{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}}
{{1},{2,5},{3,6},{4,7}} => {{1,4,7},{2,5},{3,6}}
{{1},{2,5},{3,6},{4},{7}} => {{1,2,4,5,7},{3,6}}
{{1,7},{2,5},{3},{4,6}} => {{1},{2,4,7},{3,5,6}}
{{1},{2,5,7},{3},{4,6}} => {{1,7},{2,4},{3,5,6}}
{{1},{2,5},{3,7},{4,6}} => {{1,5,7},{2,4},{3,6}}
{{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}}
{{1},{2,5},{3},{4,6},{7}} => {{1,2,4,7},{3,5,6}}
{{1,7},{2,5},{3},{4},{6}} => {{1},{2,3,7},{4,5,6}}
{{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}}
{{1},{2,5},{3,7},{4},{6}} => {{1,4,5,7},{2,3,6}}
{{1},{2,5},{3},{4,7},{6}} => {{1,4,7},{2,3,5,6}}
{{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}}
{{1},{2,5},{3},{4},{6},{7}} => {{1,2,3,7},{4,5,6}}
{{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}}
{{1,6},{2,7},{3,5},{4}} => {{1,3,6},{2,7},{4,5}}
{{1,6},{2},{3,5,7},{4}} => {{1,3},{2,6,7},{4,5}}
{{1,6},{2},{3,5},{4,7}} => {{1,4},{2,6,7},{3,5}}
{{1,6},{2},{3,5},{4},{7}} => {{1,2},{3,6,7},{4,5}}
{{1,7},{2,6},{3,5},{4}} => {{1},{2,7},{3,6},{4,5}}
{{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}}
{{1},{2,6},{3,5,7},{4}} => {{1,3,7},{2,6},{4,5}}
{{1},{2,6},{3,5},{4,7}} => {{1,4,7},{2,6},{3,5}}
{{1},{2,6},{3,5},{4},{7}} => {{1,2,7},{3,6},{4,5}}
{{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}}
{{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}}
{{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}}
{{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}}
{{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}}
{{1,7},{2},{3,5},{4,6}} => {{1},{2,4,6,7},{3,5}}
{{1},{2,7},{3,5},{4,6}} => {{1,7},{2,4,6},{3,5}}
{{1},{2},{3,5,7},{4,6}} => {{1,6,7},{2,4},{3,5}}
{{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}}
{{1},{2},{3,5},{4,6},{7}} => {{1,2,4,6,7},{3,5}}
{{1,7},{2},{3,5},{4},{6}} => {{1},{2,3,6,7},{4,5}}
{{1},{2,7},{3,5},{4},{6}} => {{1,7},{2,3,6},{4,5}}
{{1},{2},{3,5,7},{4},{6}} => {{1,6,7},{2,3},{4,5}}
{{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}}
{{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}}
{{1},{2},{3,5},{4},{6},{7}} => {{1,2,3,6,7},{4,5}}
{{1,6,7},{2},{3},{4,5}} => {{1},{2},{3,5,6,7},{4}}
{{1,6},{2,7},{3},{4,5}} => {{1,3,5,6},{2,7},{4}}
{{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}}
{{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}}
{{1,6},{2},{3},{4,5},{7}} => {{1,2},{3,5,6,7},{4}}
{{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}}
{{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}}
{{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}}
{{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}}
{{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}}
{{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}}
{{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}}
{{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}}
{{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}}
{{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}}
{{1,7},{2},{3},{4,5,6}} => {{1},{2,5,6,7},{3},{4}}
{{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}}
{{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}}
{{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}}
{{1},{2},{3},{4,5,6},{7}} => {{1,2,5,6,7},{3},{4}}
{{1,7},{2},{3},{4,5},{6}} => {{1},{2,3,5,6,7},{4}}
{{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}}
{{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}}
{{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}}
{{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}}
{{1},{2},{3},{4,5},{6},{7}} => {{1,2,3,5,6,7},{4}}
{{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}}
{{1,6},{2,7},{3},{4},{5}} => {{1,3,4,5,6},{2,7}}
{{1,6},{2},{3,7},{4},{5}} => {{1,3,4,5},{2,6,7}}
{{1,6},{2},{3},{4,7},{5}} => {{1,3,4},{2,5,6,7}}
{{1,6},{2},{3},{4},{5,7}} => {{1,3},{2,4,5,6,7}}
{{1,6},{2},{3},{4},{5},{7}} => {{1,2},{3,4,5,6,7}}
{{1,7},{2,6},{3},{4},{5}} => {{1},{2,7},{3,4,5,6}}
{{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}}
{{1},{2,6},{3,7},{4},{5}} => {{1,3,4,5,7},{2,6}}
{{1},{2,6},{3},{4,7},{5}} => {{1,3,4,7},{2,5,6}}
{{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}}
{{1},{2,6},{3},{4},{5},{7}} => {{1,2,7},{3,4,5,6}}
{{1,7},{2},{3,6},{4},{5}} => {{1},{2,6,7},{3,4,5}}
{{1},{2,7},{3,6},{4},{5}} => {{1,7},{2,6},{3,4,5}}
{{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}}
{{1},{2},{3,6},{4,7},{5}} => {{1,3,4,6,7},{2,5}}
{{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}}
{{1},{2},{3,6},{4},{5},{7}} => {{1,2,6,7},{3,4,5}}
{{1,7},{2},{3},{4,6},{5}} => {{1},{2,5,6,7},{3,4}}
{{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}}
{{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}}
{{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}}
{{1},{2},{3},{4,6},{5,7}} => {{1,3,5,6,7},{2,4}}
{{1},{2},{3},{4,6},{5},{7}} => {{1,2,5,6,7},{3,4}}
{{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}}
{{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}}
{{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}}
{{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}}
{{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}}
{{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}}
{{1,7},{2},{3},{4},{5},{6}} => {{1},{2,3,4,5,6,7}}
{{1},{2,7},{3},{4},{5},{6}} => {{1,7},{2,3,4,5,6}}
{{1},{2},{3,7},{4},{5},{6}} => {{1,6,7},{2,3,4,5}}
{{1},{2},{3},{4,7},{5},{6}} => {{1,5,6,7},{2,3,4}}
{{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}}
{{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}}
{{1},{2},{3},{4},{5},{6},{7}} => {{1,2,3,4,5,6,7}}
{{1,2},{3,4},{5,6},{7,8}} => {{1,3,5,7},{2},{4},{6},{8}}
{{1,3},{2,4},{5,6},{7,8}} => {{1,3,5,7},{2},{4},{6,8}}
{{1,4},{2,3},{5,6},{7,8}} => {{1,3,5},{2},{4},{6,8},{7}}
{{1,5},{2,3},{4,6},{7,8}} => {{1,3,5},{2},{4,6,8},{7}}
{{1,6},{2,3},{4,5},{7,8}} => {{1,3},{2},{4,6,8},{5},{7}}
{{1,7},{2,3},{4,5},{6,8}} => {{1,3},{2,4,6,8},{5},{7}}
{{1,8},{2,3},{4,5},{6,7}} => {{1},{2,4,6,8},{3},{5},{7}}
{{1,8},{2,4},{3,5},{6,7}} => {{1},{2,4,6,8},{3},{5,7}}
{{1,7},{2,4},{3,5},{6,8}} => {{1,3},{2,8},{4,6},{5,7}}
{{1,6},{2,4},{3,5},{7,8}} => {{1,3},{2},{4,6,8},{5,7}}
{{1,5},{2,4},{3,6},{7,8}} => {{1,3,6},{2},{4,8},{5,7}}
{{1,4},{2,5},{3,6},{7,8}} => {{1,3,6},{2},{4,7},{5,8}}
{{1,3},{2,5},{4,6},{7,8}} => {{1,3,5},{2},{4,7},{6,8}}
{{1,2},{3,5},{4,6},{7,8}} => {{1,3,5,7},{2},{4,6},{8}}
{{1,2},{3,6},{4,5},{7,8}} => {{1,3,7},{2},{4,6},{5},{8}}
{{1,3},{2,6},{4,5},{7,8}} => {{1,3,7},{2},{4,6,8},{5}}
{{1,4},{2,6},{3,5},{7,8}} => {{1,3,7},{2},{4,6},{5,8}}
{{1,5},{2,6},{3,4},{7,8}} => {{1,3,5,7},{2},{4,8},{6}}
{{1,6},{2,5},{3,4},{7,8}} => {{1,3},{2},{4,8},{5,7},{6}}
{{1,7},{2,5},{3,4},{6,8}} => {{1,3},{2,4,8},{5,7},{6}}
{{1,8},{2,5},{3,4},{6,7}} => {{1},{2,4,8},{3},{5,7},{6}}
{{1,8},{2,6},{3,4},{5,7}} => {{1},{2,4,8},{3,5,7},{6}}
{{1,7},{2,6},{3,4},{5,8}} => {{1,4},{2,8},{3,5,7},{6}}
{{1,6},{2,7},{3,4},{5,8}} => {{1,4},{2,5,7},{3,8},{6}}
{{1,5},{2,7},{3,4},{6,8}} => {{1,3},{2,5,7},{4,8},{6}}
{{1,4},{2,7},{3,5},{6,8}} => {{1,3},{2,7},{4,6},{5,8}}
{{1,3},{2,7},{4,5},{6,8}} => {{1,3},{2,7},{4,6,8},{5}}
{{1,2},{3,7},{4,5},{6,8}} => {{1,3,7},{2,4,6},{5},{8}}
{{1,2},{3,8},{4,5},{6,7}} => {{1,7},{2,4,6},{3},{5},{8}}
{{1,3},{2,8},{4,5},{6,7}} => {{1,7},{2,4,6,8},{3},{5}}
{{1,4},{2,8},{3,5},{6,7}} => {{1,7},{2,4,6},{3},{5,8}}
{{1,5},{2,8},{3,4},{6,7}} => {{1,5,7},{2,4,8},{3},{6}}
{{1,6},{2,8},{3,4},{5,7}} => {{1,5,7},{2,4},{3,8},{6}}
{{1,7},{2,8},{3,4},{5,6}} => {{1,3,5,7},{2,8},{4},{6}}
{{1,8},{2,7},{3,4},{5,6}} => {{1},{2,8},{3,5,7},{4},{6}}
{{1,8},{2,7},{3,5},{4,6}} => {{1},{2,8},{3,5,7},{4,6}}
{{1,7},{2,8},{3,5},{4,6}} => {{1,7},{2,8},{3,5},{4,6}}
{{1,6},{2,8},{3,5},{4,7}} => {{1,7},{2,5},{3,8},{4,6}}
{{1,5},{2,8},{3,6},{4,7}} => {{1,7},{2,5},{3,6},{4,8}}
{{1,4},{2,8},{3,6},{5,7}} => {{1,7},{2,4},{3,6},{5,8}}
{{1,3},{2,8},{4,6},{5,7}} => {{1,7},{2,4},{3,5},{6,8}}
{{1,2},{3,8},{4,6},{5,7}} => {{1,7},{2,4,6},{3,5},{8}}
{{1,2},{3,7},{4,6},{5,8}} => {{1,4,7},{2,6},{3,5},{8}}
{{1,3},{2,7},{4,6},{5,8}} => {{1,4},{2,7},{3,5},{6,8}}
{{1,4},{2,7},{3,6},{5,8}} => {{1,4},{2,7},{3,6},{5,8}}
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Created: Mar 01, 2021 at 07:58 by Martin Rubey
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Last Updated: Oct 14, 2024 at 23:35 by Nadia Lafreniere