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Identifier
Values
=>
Cc0012;cc-rep
[(1,2)]=>1 [(1,2),(3,4)]=>2 [(1,3),(2,4)]=>1 [(1,4),(2,3)]=>2 [(1,2),(3,4),(5,6)]=>3 [(1,3),(2,4),(5,6)]=>2 [(1,4),(2,3),(5,6)]=>3 [(1,5),(2,3),(4,6)]=>2 [(1,6),(2,3),(4,5)]=>3 [(1,6),(2,4),(3,5)]=>2 [(1,5),(2,4),(3,6)]=>1 [(1,4),(2,5),(3,6)]=>1 [(1,3),(2,5),(4,6)]=>1 [(1,2),(3,5),(4,6)]=>2 [(1,2),(3,6),(4,5)]=>3 [(1,3),(2,6),(4,5)]=>2 [(1,4),(2,6),(3,5)]=>1 [(1,5),(2,6),(3,4)]=>2 [(1,6),(2,5),(3,4)]=>3 [(1,2),(3,4),(5,6),(7,8)]=>4 [(1,3),(2,4),(5,6),(7,8)]=>3 [(1,4),(2,3),(5,6),(7,8)]=>4 [(1,5),(2,3),(4,6),(7,8)]=>3 [(1,6),(2,3),(4,5),(7,8)]=>4 [(1,7),(2,3),(4,5),(6,8)]=>3 [(1,8),(2,3),(4,5),(6,7)]=>4 [(1,8),(2,4),(3,5),(6,7)]=>3 [(1,7),(2,4),(3,5),(6,8)]=>2 [(1,6),(2,4),(3,5),(7,8)]=>3 [(1,5),(2,4),(3,6),(7,8)]=>2 [(1,4),(2,5),(3,6),(7,8)]=>2 [(1,3),(2,5),(4,6),(7,8)]=>2 [(1,2),(3,5),(4,6),(7,8)]=>3 [(1,2),(3,6),(4,5),(7,8)]=>4 [(1,3),(2,6),(4,5),(7,8)]=>3 [(1,4),(2,6),(3,5),(7,8)]=>2 [(1,5),(2,6),(3,4),(7,8)]=>3 [(1,6),(2,5),(3,4),(7,8)]=>4 [(1,7),(2,5),(3,4),(6,8)]=>3 [(1,8),(2,5),(3,4),(6,7)]=>4 [(1,8),(2,6),(3,4),(5,7)]=>3 [(1,7),(2,6),(3,4),(5,8)]=>2 [(1,6),(2,7),(3,4),(5,8)]=>2 [(1,5),(2,7),(3,4),(6,8)]=>2 [(1,4),(2,7),(3,5),(6,8)]=>1 [(1,3),(2,7),(4,5),(6,8)]=>2 [(1,2),(3,7),(4,5),(6,8)]=>3 [(1,2),(3,8),(4,5),(6,7)]=>4 [(1,3),(2,8),(4,5),(6,7)]=>3 [(1,4),(2,8),(3,5),(6,7)]=>2 [(1,5),(2,8),(3,4),(6,7)]=>3 [(1,6),(2,8),(3,4),(5,7)]=>2 [(1,7),(2,8),(3,4),(5,6)]=>3 [(1,8),(2,7),(3,4),(5,6)]=>4 [(1,8),(2,7),(3,5),(4,6)]=>3 [(1,7),(2,8),(3,5),(4,6)]=>2 [(1,6),(2,8),(3,5),(4,7)]=>1 [(1,5),(2,8),(3,6),(4,7)]=>1 [(1,4),(2,8),(3,6),(5,7)]=>1 [(1,3),(2,8),(4,6),(5,7)]=>2 [(1,2),(3,8),(4,6),(5,7)]=>3 [(1,2),(3,7),(4,6),(5,8)]=>2 [(1,3),(2,7),(4,6),(5,8)]=>1 [(1,4),(2,7),(3,6),(5,8)]=>1 [(1,5),(2,7),(3,6),(4,8)]=>1 [(1,6),(2,7),(3,5),(4,8)]=>1 [(1,7),(2,6),(3,5),(4,8)]=>1 [(1,8),(2,6),(3,5),(4,7)]=>2 [(1,8),(2,5),(3,6),(4,7)]=>2 [(1,7),(2,5),(3,6),(4,8)]=>1 [(1,6),(2,5),(3,7),(4,8)]=>1 [(1,5),(2,6),(3,7),(4,8)]=>1 [(1,4),(2,6),(3,7),(5,8)]=>1 [(1,3),(2,6),(4,7),(5,8)]=>1 [(1,2),(3,6),(4,7),(5,8)]=>2 [(1,2),(3,5),(4,7),(6,8)]=>2 [(1,3),(2,5),(4,7),(6,8)]=>1 [(1,4),(2,5),(3,7),(6,8)]=>1 [(1,5),(2,4),(3,7),(6,8)]=>1 [(1,6),(2,4),(3,7),(5,8)]=>1 [(1,7),(2,4),(3,6),(5,8)]=>1 [(1,8),(2,4),(3,6),(5,7)]=>2 [(1,8),(2,3),(4,6),(5,7)]=>3 [(1,7),(2,3),(4,6),(5,8)]=>2 [(1,6),(2,3),(4,7),(5,8)]=>2 [(1,5),(2,3),(4,7),(6,8)]=>2 [(1,4),(2,3),(5,7),(6,8)]=>3 [(1,3),(2,4),(5,7),(6,8)]=>2 [(1,2),(3,4),(5,7),(6,8)]=>3 [(1,2),(3,4),(5,8),(6,7)]=>4 [(1,3),(2,4),(5,8),(6,7)]=>3 [(1,4),(2,3),(5,8),(6,7)]=>4 [(1,5),(2,3),(4,8),(6,7)]=>3 [(1,6),(2,3),(4,8),(5,7)]=>2 [(1,7),(2,3),(4,8),(5,6)]=>3 [(1,8),(2,3),(4,7),(5,6)]=>4 [(1,8),(2,4),(3,7),(5,6)]=>3 [(1,7),(2,4),(3,8),(5,6)]=>2 [(1,6),(2,4),(3,8),(5,7)]=>1 [(1,5),(2,4),(3,8),(6,7)]=>2 [(1,4),(2,5),(3,8),(6,7)]=>2 [(1,3),(2,5),(4,8),(6,7)]=>2 [(1,2),(3,5),(4,8),(6,7)]=>3 [(1,2),(3,6),(4,8),(5,7)]=>2 [(1,3),(2,6),(4,8),(5,7)]=>1 [(1,4),(2,6),(3,8),(5,7)]=>1 [(1,5),(2,6),(3,8),(4,7)]=>1 [(1,6),(2,5),(3,8),(4,7)]=>1 [(1,7),(2,5),(3,8),(4,6)]=>1 [(1,8),(2,5),(3,7),(4,6)]=>2 [(1,8),(2,6),(3,7),(4,5)]=>3 [(1,7),(2,6),(3,8),(4,5)]=>2 [(1,6),(2,7),(3,8),(4,5)]=>2 [(1,5),(2,7),(3,8),(4,6)]=>1 [(1,4),(2,7),(3,8),(5,6)]=>2 [(1,3),(2,7),(4,8),(5,6)]=>2 [(1,2),(3,7),(4,8),(5,6)]=>3 [(1,2),(3,8),(4,7),(5,6)]=>4 [(1,3),(2,8),(4,7),(5,6)]=>3 [(1,4),(2,8),(3,7),(5,6)]=>2 [(1,5),(2,8),(3,7),(4,6)]=>1 [(1,6),(2,8),(3,7),(4,5)]=>2 [(1,7),(2,8),(3,6),(4,5)]=>3 [(1,8),(2,7),(3,6),(4,5)]=>4 [(1,2),(3,4),(5,6),(7,8),(9,10)]=>5 [(1,3),(2,4),(5,6),(7,8),(9,10)]=>4 [(1,4),(2,3),(5,6),(7,8),(9,10)]=>5 [(1,5),(2,3),(4,6),(7,8),(9,10)]=>4 [(1,6),(2,3),(4,5),(7,8),(9,10)]=>5 [(1,7),(2,3),(4,5),(6,8),(9,10)]=>4 [(1,8),(2,3),(4,5),(6,7),(9,10)]=>5 [(1,9),(2,3),(4,5),(6,7),(8,10)]=>4 [(1,10),(2,3),(4,5),(6,7),(8,9)]=>5 [(1,10),(2,4),(3,5),(6,7),(8,9)]=>4 [(1,9),(2,4),(3,5),(6,7),(8,10)]=>3 [(1,8),(2,4),(3,5),(6,7),(9,10)]=>4 [(1,7),(2,4),(3,5),(6,8),(9,10)]=>3 [(1,6),(2,4),(3,5),(7,8),(9,10)]=>4 [(1,5),(2,4),(3,6),(7,8),(9,10)]=>3 [(1,4),(2,5),(3,6),(7,8),(9,10)]=>3 [(1,3),(2,5),(4,6),(7,8),(9,10)]=>3 [(1,2),(3,5),(4,6),(7,8),(9,10)]=>4 [(1,2),(3,6),(4,5),(7,8),(9,10)]=>5 [(1,3),(2,6),(4,5),(7,8),(9,10)]=>4 [(1,4),(2,6),(3,5),(7,8),(9,10)]=>3 [(1,5),(2,6),(3,4),(7,8),(9,10)]=>4 [(1,6),(2,5),(3,4),(7,8),(9,10)]=>5 [(1,7),(2,5),(3,4),(6,8),(9,10)]=>4 [(1,8),(2,5),(3,4),(6,7),(9,10)]=>5 [(1,9),(2,5),(3,4),(6,7),(8,10)]=>4 [(1,10),(2,5),(3,4),(6,7),(8,9)]=>5 [(1,10),(2,6),(3,4),(5,7),(8,9)]=>4 [(1,9),(2,6),(3,4),(5,7),(8,10)]=>3 [(1,8),(2,6),(3,4),(5,7),(9,10)]=>4 [(1,7),(2,6),(3,4),(5,8),(9,10)]=>3 [(1,6),(2,7),(3,4),(5,8),(9,10)]=>3 [(1,5),(2,7),(3,4),(6,8),(9,10)]=>3 [(1,4),(2,7),(3,5),(6,8),(9,10)]=>2 [(1,3),(2,7),(4,5),(6,8),(9,10)]=>3 [(1,2),(3,7),(4,5),(6,8),(9,10)]=>4 [(1,2),(3,8),(4,5),(6,7),(9,10)]=>5 [(1,3),(2,8),(4,5),(6,7),(9,10)]=>4 [(1,4),(2,8),(3,5),(6,7),(9,10)]=>3 [(1,5),(2,8),(3,4),(6,7),(9,10)]=>4 [(1,6),(2,8),(3,4),(5,7),(9,10)]=>3 [(1,7),(2,8),(3,4),(5,6),(9,10)]=>4 [(1,8),(2,7),(3,4),(5,6),(9,10)]=>5 [(1,9),(2,7),(3,4),(5,6),(8,10)]=>4 [(1,10),(2,7),(3,4),(5,6),(8,9)]=>5 [(1,10),(2,8),(3,4),(5,6),(7,9)]=>4 [(1,9),(2,8),(3,4),(5,6),(7,10)]=>3 [(1,8),(2,9),(3,4),(5,6),(7,10)]=>3 [(1,7),(2,9),(3,4),(5,6),(8,10)]=>3 [(1,6),(2,9),(3,4),(5,7),(8,10)]=>2 [(1,5),(2,9),(3,4),(6,7),(8,10)]=>3 [(1,4),(2,9),(3,5),(6,7),(8,10)]=>2 [(1,3),(2,9),(4,5),(6,7),(8,10)]=>3 [(1,2),(3,9),(4,5),(6,7),(8,10)]=>4 [(1,2),(3,10),(4,5),(6,7),(8,9)]=>5 [(1,3),(2,10),(4,5),(6,7),(8,9)]=>4 [(1,4),(2,10),(3,5),(6,7),(8,9)]=>3 [(1,5),(2,10),(3,4),(6,7),(8,9)]=>4 [(1,6),(2,10),(3,4),(5,7),(8,9)]=>3 [(1,7),(2,10),(3,4),(5,6),(8,9)]=>4 [(1,8),(2,10),(3,4),(5,6),(7,9)]=>3 [(1,9),(2,10),(3,4),(5,6),(7,8)]=>4 [(1,10),(2,9),(3,4),(5,6),(7,8)]=>5 [(1,10),(2,9),(3,5),(4,6),(7,8)]=>4 [(1,9),(2,10),(3,5),(4,6),(7,8)]=>3 [(1,8),(2,10),(3,5),(4,6),(7,9)]=>2 [(1,7),(2,10),(3,5),(4,6),(8,9)]=>3 [(1,6),(2,10),(3,5),(4,7),(8,9)]=>2 [(1,5),(2,10),(3,6),(4,7),(8,9)]=>2 [(1,4),(2,10),(3,6),(5,7),(8,9)]=>2 [(1,3),(2,10),(4,6),(5,7),(8,9)]=>3 [(1,2),(3,10),(4,6),(5,7),(8,9)]=>4 [(1,2),(3,9),(4,6),(5,7),(8,10)]=>3 [(1,3),(2,9),(4,6),(5,7),(8,10)]=>2 [(1,4),(2,9),(3,6),(5,7),(8,10)]=>1 [(1,5),(2,9),(3,6),(4,7),(8,10)]=>1 [(1,6),(2,9),(3,5),(4,7),(8,10)]=>1 [(1,7),(2,9),(3,5),(4,6),(8,10)]=>2 [(1,8),(2,9),(3,5),(4,6),(7,10)]=>2 [(1,9),(2,8),(3,5),(4,6),(7,10)]=>2 [(1,10),(2,8),(3,5),(4,6),(7,9)]=>3 [(1,10),(2,7),(3,5),(4,6),(8,9)]=>4 [(1,9),(2,7),(3,5),(4,6),(8,10)]=>3 [(1,8),(2,7),(3,5),(4,6),(9,10)]=>4 [(1,7),(2,8),(3,5),(4,6),(9,10)]=>3 [(1,6),(2,8),(3,5),(4,7),(9,10)]=>2 [(1,5),(2,8),(3,6),(4,7),(9,10)]=>2 [(1,4),(2,8),(3,6),(5,7),(9,10)]=>2 [(1,3),(2,8),(4,6),(5,7),(9,10)]=>3 [(1,2),(3,8),(4,6),(5,7),(9,10)]=>4 [(1,2),(3,7),(4,6),(5,8),(9,10)]=>3 [(1,3),(2,7),(4,6),(5,8),(9,10)]=>2 [(1,4),(2,7),(3,6),(5,8),(9,10)]=>2 [(1,5),(2,7),(3,6),(4,8),(9,10)]=>2 [(1,6),(2,7),(3,5),(4,8),(9,10)]=>2 [(1,7),(2,6),(3,5),(4,8),(9,10)]=>2 [(1,8),(2,6),(3,5),(4,7),(9,10)]=>3 [(1,9),(2,6),(3,5),(4,7),(8,10)]=>2 [(1,10),(2,6),(3,5),(4,7),(8,9)]=>3 [(1,10),(2,5),(3,6),(4,7),(8,9)]=>3 [(1,9),(2,5),(3,6),(4,7),(8,10)]=>2 [(1,8),(2,5),(3,6),(4,7),(9,10)]=>3 [(1,7),(2,5),(3,6),(4,8),(9,10)]=>2 [(1,6),(2,5),(3,7),(4,8),(9,10)]=>2 [(1,5),(2,6),(3,7),(4,8),(9,10)]=>2 [(1,4),(2,6),(3,7),(5,8),(9,10)]=>2 [(1,3),(2,6),(4,7),(5,8),(9,10)]=>2 [(1,2),(3,6),(4,7),(5,8),(9,10)]=>3 [(1,2),(3,5),(4,7),(6,8),(9,10)]=>3 [(1,3),(2,5),(4,7),(6,8),(9,10)]=>2 [(1,4),(2,5),(3,7),(6,8),(9,10)]=>2 [(1,5),(2,4),(3,7),(6,8),(9,10)]=>2 [(1,6),(2,4),(3,7),(5,8),(9,10)]=>2 [(1,7),(2,4),(3,6),(5,8),(9,10)]=>2 [(1,8),(2,4),(3,6),(5,7),(9,10)]=>3 [(1,9),(2,4),(3,6),(5,7),(8,10)]=>2 [(1,10),(2,4),(3,6),(5,7),(8,9)]=>3 [(1,10),(2,3),(4,6),(5,7),(8,9)]=>4 [(1,9),(2,3),(4,6),(5,7),(8,10)]=>3 [(1,8),(2,3),(4,6),(5,7),(9,10)]=>4 [(1,7),(2,3),(4,6),(5,8),(9,10)]=>3 [(1,6),(2,3),(4,7),(5,8),(9,10)]=>3 [(1,5),(2,3),(4,7),(6,8),(9,10)]=>3 [(1,4),(2,3),(5,7),(6,8),(9,10)]=>4 [(1,3),(2,4),(5,7),(6,8),(9,10)]=>3 [(1,2),(3,4),(5,7),(6,8),(9,10)]=>4 [(1,2),(3,4),(5,8),(6,7),(9,10)]=>5 [(1,3),(2,4),(5,8),(6,7),(9,10)]=>4 [(1,4),(2,3),(5,8),(6,7),(9,10)]=>5 [(1,5),(2,3),(4,8),(6,7),(9,10)]=>4 [(1,6),(2,3),(4,8),(5,7),(9,10)]=>3 [(1,7),(2,3),(4,8),(5,6),(9,10)]=>4 [(1,8),(2,3),(4,7),(5,6),(9,10)]=>5 [(1,9),(2,3),(4,7),(5,6),(8,10)]=>4 [(1,10),(2,3),(4,7),(5,6),(8,9)]=>5 [(1,10),(2,4),(3,7),(5,6),(8,9)]=>4 [(1,9),(2,4),(3,7),(5,6),(8,10)]=>3 [(1,8),(2,4),(3,7),(5,6),(9,10)]=>4 [(1,7),(2,4),(3,8),(5,6),(9,10)]=>3 [(1,6),(2,4),(3,8),(5,7),(9,10)]=>2 [(1,5),(2,4),(3,8),(6,7),(9,10)]=>3 [(1,4),(2,5),(3,8),(6,7),(9,10)]=>3 [(1,3),(2,5),(4,8),(6,7),(9,10)]=>3 [(1,2),(3,5),(4,8),(6,7),(9,10)]=>4 [(1,2),(3,6),(4,8),(5,7),(9,10)]=>3 [(1,3),(2,6),(4,8),(5,7),(9,10)]=>2 [(1,4),(2,6),(3,8),(5,7),(9,10)]=>2 [(1,5),(2,6),(3,8),(4,7),(9,10)]=>2 [(1,6),(2,5),(3,8),(4,7),(9,10)]=>2 [(1,7),(2,5),(3,8),(4,6),(9,10)]=>2 [(1,8),(2,5),(3,7),(4,6),(9,10)]=>3 [(1,9),(2,5),(3,7),(4,6),(8,10)]=>2 [(1,10),(2,5),(3,7),(4,6),(8,9)]=>3 [(1,10),(2,6),(3,7),(4,5),(8,9)]=>4 [(1,9),(2,6),(3,7),(4,5),(8,10)]=>3 [(1,8),(2,6),(3,7),(4,5),(9,10)]=>4 [(1,7),(2,6),(3,8),(4,5),(9,10)]=>3 [(1,6),(2,7),(3,8),(4,5),(9,10)]=>3 [(1,5),(2,7),(3,8),(4,6),(9,10)]=>2 [(1,4),(2,7),(3,8),(5,6),(9,10)]=>3 [(1,3),(2,7),(4,8),(5,6),(9,10)]=>3 [(1,2),(3,7),(4,8),(5,6),(9,10)]=>4 [(1,2),(3,8),(4,7),(5,6),(9,10)]=>5 [(1,3),(2,8),(4,7),(5,6),(9,10)]=>4 [(1,4),(2,8),(3,7),(5,6),(9,10)]=>3 [(1,5),(2,8),(3,7),(4,6),(9,10)]=>2 [(1,6),(2,8),(3,7),(4,5),(9,10)]=>3 [(1,7),(2,8),(3,6),(4,5),(9,10)]=>4 [(1,8),(2,7),(3,6),(4,5),(9,10)]=>5 [(1,9),(2,7),(3,6),(4,5),(8,10)]=>4 [(1,10),(2,7),(3,6),(4,5),(8,9)]=>5 [(1,10),(2,8),(3,6),(4,5),(7,9)]=>4 [(1,9),(2,8),(3,6),(4,5),(7,10)]=>3 [(1,8),(2,9),(3,6),(4,5),(7,10)]=>3 [(1,7),(2,9),(3,6),(4,5),(8,10)]=>3 [(1,6),(2,9),(3,7),(4,5),(8,10)]=>2 [(1,5),(2,9),(3,7),(4,6),(8,10)]=>1 [(1,4),(2,9),(3,7),(5,6),(8,10)]=>2 [(1,3),(2,9),(4,7),(5,6),(8,10)]=>3 [(1,2),(3,9),(4,7),(5,6),(8,10)]=>4 [(1,2),(3,10),(4,7),(5,6),(8,9)]=>5 [(1,3),(2,10),(4,7),(5,6),(8,9)]=>4 [(1,4),(2,10),(3,7),(5,6),(8,9)]=>3 [(1,5),(2,10),(3,7),(4,6),(8,9)]=>2 [(1,6),(2,10),(3,7),(4,5),(8,9)]=>3 [(1,7),(2,10),(3,6),(4,5),(8,9)]=>4 [(1,8),(2,10),(3,6),(4,5),(7,9)]=>3 [(1,9),(2,10),(3,6),(4,5),(7,8)]=>4 [(1,10),(2,9),(3,6),(4,5),(7,8)]=>5 [(1,10),(2,9),(3,7),(4,5),(6,8)]=>4 [(1,9),(2,10),(3,7),(4,5),(6,8)]=>3 [(1,8),(2,10),(3,7),(4,5),(6,9)]=>2 [(1,7),(2,10),(3,8),(4,5),(6,9)]=>2 [(1,6),(2,10),(3,8),(4,5),(7,9)]=>2 [(1,5),(2,10),(3,8),(4,6),(7,9)]=>1 [(1,4),(2,10),(3,8),(5,6),(7,9)]=>2 [(1,3),(2,10),(4,8),(5,6),(7,9)]=>3 [(1,2),(3,10),(4,8),(5,6),(7,9)]=>4 [(1,2),(3,9),(4,8),(5,6),(7,10)]=>3 [(1,3),(2,9),(4,8),(5,6),(7,10)]=>2 [(1,4),(2,9),(3,8),(5,6),(7,10)]=>2 [(1,5),(2,9),(3,8),(4,6),(7,10)]=>1 [(1,6),(2,9),(3,8),(4,5),(7,10)]=>2 [(1,7),(2,9),(3,8),(4,5),(6,10)]=>2 [(1,8),(2,9),(3,7),(4,5),(6,10)]=>2 [(1,9),(2,8),(3,7),(4,5),(6,10)]=>2 [(1,10),(2,8),(3,7),(4,5),(6,9)]=>3 [(1,10),(2,7),(3,8),(4,5),(6,9)]=>3 [(1,9),(2,7),(3,8),(4,5),(6,10)]=>2 [(1,8),(2,7),(3,9),(4,5),(6,10)]=>2 [(1,7),(2,8),(3,9),(4,5),(6,10)]=>2 [(1,6),(2,8),(3,9),(4,5),(7,10)]=>2 [(1,5),(2,8),(3,9),(4,6),(7,10)]=>1 [(1,4),(2,8),(3,9),(5,6),(7,10)]=>2 [(1,3),(2,8),(4,9),(5,6),(7,10)]=>2 [(1,2),(3,8),(4,9),(5,6),(7,10)]=>3 [(1,2),(3,7),(4,9),(5,6),(8,10)]=>3 [(1,3),(2,7),(4,9),(5,6),(8,10)]=>2 [(1,4),(2,7),(3,9),(5,6),(8,10)]=>2 [(1,5),(2,7),(3,9),(4,6),(8,10)]=>1 [(1,6),(2,7),(3,9),(4,5),(8,10)]=>2 [(1,7),(2,6),(3,9),(4,5),(8,10)]=>2 [(1,8),(2,6),(3,9),(4,5),(7,10)]=>2 [(1,9),(2,6),(3,8),(4,5),(7,10)]=>2 [(1,10),(2,6),(3,8),(4,5),(7,9)]=>3 [(1,10),(2,5),(3,8),(4,6),(7,9)]=>2 [(1,9),(2,5),(3,8),(4,6),(7,10)]=>1 [(1,8),(2,5),(3,9),(4,6),(7,10)]=>1 [(1,7),(2,5),(3,9),(4,6),(8,10)]=>1 [(1,6),(2,5),(3,9),(4,7),(8,10)]=>1 [(1,5),(2,6),(3,9),(4,7),(8,10)]=>1 [(1,4),(2,6),(3,9),(5,7),(8,10)]=>1 [(1,3),(2,6),(4,9),(5,7),(8,10)]=>1 [(1,2),(3,6),(4,9),(5,7),(8,10)]=>2 [(1,2),(3,5),(4,9),(6,7),(8,10)]=>3 [(1,3),(2,5),(4,9),(6,7),(8,10)]=>2 [(1,4),(2,5),(3,9),(6,7),(8,10)]=>2 [(1,5),(2,4),(3,9),(6,7),(8,10)]=>2 [(1,6),(2,4),(3,9),(5,7),(8,10)]=>1 [(1,7),(2,4),(3,9),(5,6),(8,10)]=>2 [(1,8),(2,4),(3,9),(5,6),(7,10)]=>2 [(1,9),(2,4),(3,8),(5,6),(7,10)]=>2 [(1,10),(2,4),(3,8),(5,6),(7,9)]=>3 [(1,10),(2,3),(4,8),(5,6),(7,9)]=>4 [(1,9),(2,3),(4,8),(5,6),(7,10)]=>3 [(1,8),(2,3),(4,9),(5,6),(7,10)]=>3 [(1,7),(2,3),(4,9),(5,6),(8,10)]=>3 [(1,6),(2,3),(4,9),(5,7),(8,10)]=>2 [(1,5),(2,3),(4,9),(6,7),(8,10)]=>3 [(1,4),(2,3),(5,9),(6,7),(8,10)]=>4 [(1,3),(2,4),(5,9),(6,7),(8,10)]=>3 [(1,2),(3,4),(5,9),(6,7),(8,10)]=>4 [(1,2),(3,4),(5,10),(6,7),(8,9)]=>5 [(1,3),(2,4),(5,10),(6,7),(8,9)]=>4 [(1,4),(2,3),(5,10),(6,7),(8,9)]=>5 [(1,5),(2,3),(4,10),(6,7),(8,9)]=>4 [(1,6),(2,3),(4,10),(5,7),(8,9)]=>3 [(1,7),(2,3),(4,10),(5,6),(8,9)]=>4 [(1,8),(2,3),(4,10),(5,6),(7,9)]=>3 [(1,9),(2,3),(4,10),(5,6),(7,8)]=>4 [(1,10),(2,3),(4,9),(5,6),(7,8)]=>5 [(1,10),(2,4),(3,9),(5,6),(7,8)]=>4 [(1,9),(2,4),(3,10),(5,6),(7,8)]=>3 [(1,8),(2,4),(3,10),(5,6),(7,9)]=>2 [(1,7),(2,4),(3,10),(5,6),(8,9)]=>3 [(1,6),(2,4),(3,10),(5,7),(8,9)]=>2 [(1,5),(2,4),(3,10),(6,7),(8,9)]=>3 [(1,4),(2,5),(3,10),(6,7),(8,9)]=>3 [(1,3),(2,5),(4,10),(6,7),(8,9)]=>3 [(1,2),(3,5),(4,10),(6,7),(8,9)]=>4 [(1,2),(3,6),(4,10),(5,7),(8,9)]=>3 [(1,3),(2,6),(4,10),(5,7),(8,9)]=>2 [(1,4),(2,6),(3,10),(5,7),(8,9)]=>2 [(1,5),(2,6),(3,10),(4,7),(8,9)]=>2 [(1,6),(2,5),(3,10),(4,7),(8,9)]=>2 [(1,7),(2,5),(3,10),(4,6),(8,9)]=>2 [(1,8),(2,5),(3,10),(4,6),(7,9)]=>1 [(1,9),(2,5),(3,10),(4,6),(7,8)]=>2 [(1,10),(2,5),(3,9),(4,6),(7,8)]=>3 [(1,10),(2,6),(3,9),(4,5),(7,8)]=>4 [(1,9),(2,6),(3,10),(4,5),(7,8)]=>3 [(1,8),(2,6),(3,10),(4,5),(7,9)]=>2 [(1,7),(2,6),(3,10),(4,5),(8,9)]=>3 [(1,6),(2,7),(3,10),(4,5),(8,9)]=>3 [(1,5),(2,7),(3,10),(4,6),(8,9)]=>2 [(1,4),(2,7),(3,10),(5,6),(8,9)]=>3 [(1,3),(2,7),(4,10),(5,6),(8,9)]=>3 [(1,2),(3,7),(4,10),(5,6),(8,9)]=>4 [(1,2),(3,8),(4,10),(5,6),(7,9)]=>3 [(1,3),(2,8),(4,10),(5,6),(7,9)]=>2 [(1,4),(2,8),(3,10),(5,6),(7,9)]=>2 [(1,5),(2,8),(3,10),(4,6),(7,9)]=>1 [(1,6),(2,8),(3,10),(4,5),(7,9)]=>2 [(1,7),(2,8),(3,10),(4,5),(6,9)]=>2 [(1,8),(2,7),(3,10),(4,5),(6,9)]=>2 [(1,9),(2,7),(3,10),(4,5),(6,8)]=>2 [(1,10),(2,7),(3,9),(4,5),(6,8)]=>3 [(1,10),(2,8),(3,9),(4,5),(6,7)]=>4 [(1,9),(2,8),(3,10),(4,5),(6,7)]=>3 [(1,8),(2,9),(3,10),(4,5),(6,7)]=>3 [(1,7),(2,9),(3,10),(4,5),(6,8)]=>2 [(1,6),(2,9),(3,10),(4,5),(7,8)]=>3 [(1,5),(2,9),(3,10),(4,6),(7,8)]=>2 [(1,4),(2,9),(3,10),(5,6),(7,8)]=>3 [(1,3),(2,9),(4,10),(5,6),(7,8)]=>3 [(1,2),(3,9),(4,10),(5,6),(7,8)]=>4 [(1,2),(3,10),(4,9),(5,6),(7,8)]=>5 [(1,3),(2,10),(4,9),(5,6),(7,8)]=>4 [(1,4),(2,10),(3,9),(5,6),(7,8)]=>3 [(1,5),(2,10),(3,9),(4,6),(7,8)]=>2 [(1,6),(2,10),(3,9),(4,5),(7,8)]=>3 [(1,7),(2,10),(3,9),(4,5),(6,8)]=>2 [(1,8),(2,10),(3,9),(4,5),(6,7)]=>3 [(1,9),(2,10),(3,8),(4,5),(6,7)]=>4 [(1,10),(2,9),(3,8),(4,5),(6,7)]=>5 [(1,10),(2,9),(3,8),(4,6),(5,7)]=>4 [(1,9),(2,10),(3,8),(4,6),(5,7)]=>3 [(1,8),(2,10),(3,9),(4,6),(5,7)]=>2 [(1,7),(2,10),(3,9),(4,6),(5,8)]=>1 [(1,6),(2,10),(3,9),(4,7),(5,8)]=>1 [(1,5),(2,10),(3,9),(4,7),(6,8)]=>1 [(1,4),(2,10),(3,9),(5,7),(6,8)]=>2 [(1,3),(2,10),(4,9),(5,7),(6,8)]=>3 [(1,2),(3,10),(4,9),(5,7),(6,8)]=>4 [(1,2),(3,9),(4,10),(5,7),(6,8)]=>3 [(1,3),(2,9),(4,10),(5,7),(6,8)]=>2 [(1,4),(2,9),(3,10),(5,7),(6,8)]=>2 [(1,5),(2,9),(3,10),(4,7),(6,8)]=>1 [(1,6),(2,9),(3,10),(4,7),(5,8)]=>1 [(1,7),(2,9),(3,10),(4,6),(5,8)]=>1 [(1,8),(2,9),(3,10),(4,6),(5,7)]=>2 [(1,9),(2,8),(3,10),(4,6),(5,7)]=>2 [(1,10),(2,8),(3,9),(4,6),(5,7)]=>3 [(1,10),(2,7),(3,9),(4,6),(5,8)]=>2 [(1,9),(2,7),(3,10),(4,6),(5,8)]=>1 [(1,8),(2,7),(3,10),(4,6),(5,9)]=>1 [(1,7),(2,8),(3,10),(4,6),(5,9)]=>1 [(1,6),(2,8),(3,10),(4,7),(5,9)]=>1 [(1,5),(2,8),(3,10),(4,7),(6,9)]=>1 [(1,4),(2,8),(3,10),(5,7),(6,9)]=>1 [(1,3),(2,8),(4,10),(5,7),(6,9)]=>1 [(1,2),(3,8),(4,10),(5,7),(6,9)]=>2 [(1,2),(3,7),(4,10),(5,8),(6,9)]=>2 [(1,3),(2,7),(4,10),(5,8),(6,9)]=>1 [(1,4),(2,7),(3,10),(5,8),(6,9)]=>1 [(1,5),(2,7),(3,10),(4,8),(6,9)]=>1 [(1,6),(2,7),(3,10),(4,8),(5,9)]=>1 [(1,7),(2,6),(3,10),(4,8),(5,9)]=>1 [(1,8),(2,6),(3,10),(4,7),(5,9)]=>1 [(1,9),(2,6),(3,10),(4,7),(5,8)]=>1 [(1,10),(2,6),(3,9),(4,7),(5,8)]=>2 [(1,10),(2,5),(3,9),(4,7),(6,8)]=>2 [(1,9),(2,5),(3,10),(4,7),(6,8)]=>1 [(1,8),(2,5),(3,10),(4,7),(6,9)]=>1 [(1,7),(2,5),(3,10),(4,8),(6,9)]=>1 [(1,6),(2,5),(3,10),(4,8),(7,9)]=>1 [(1,5),(2,6),(3,10),(4,8),(7,9)]=>1 [(1,4),(2,6),(3,10),(5,8),(7,9)]=>1 [(1,3),(2,6),(4,10),(5,8),(7,9)]=>1 [(1,2),(3,6),(4,10),(5,8),(7,9)]=>2 [(1,2),(3,5),(4,10),(6,8),(7,9)]=>3 [(1,3),(2,5),(4,10),(6,8),(7,9)]=>2 [(1,4),(2,5),(3,10),(6,8),(7,9)]=>2 [(1,5),(2,4),(3,10),(6,8),(7,9)]=>2 [(1,6),(2,4),(3,10),(5,8),(7,9)]=>1 [(1,7),(2,4),(3,10),(5,8),(6,9)]=>1 [(1,8),(2,4),(3,10),(5,7),(6,9)]=>1 [(1,9),(2,4),(3,10),(5,7),(6,8)]=>2 [(1,10),(2,4),(3,9),(5,7),(6,8)]=>3 [(1,10),(2,3),(4,9),(5,7),(6,8)]=>4 [(1,9),(2,3),(4,10),(5,7),(6,8)]=>3 [(1,8),(2,3),(4,10),(5,7),(6,9)]=>2 [(1,7),(2,3),(4,10),(5,8),(6,9)]=>2 [(1,6),(2,3),(4,10),(5,8),(7,9)]=>2 [(1,5),(2,3),(4,10),(6,8),(7,9)]=>3 [(1,4),(2,3),(5,10),(6,8),(7,9)]=>4 [(1,3),(2,4),(5,10),(6,8),(7,9)]=>3 [(1,2),(3,4),(5,10),(6,8),(7,9)]=>4 [(1,2),(3,4),(5,9),(6,8),(7,10)]=>3 [(1,3),(2,4),(5,9),(6,8),(7,10)]=>2 [(1,4),(2,3),(5,9),(6,8),(7,10)]=>3 [(1,5),(2,3),(4,9),(6,8),(7,10)]=>2 [(1,6),(2,3),(4,9),(5,8),(7,10)]=>2 [(1,7),(2,3),(4,9),(5,8),(6,10)]=>2 [(1,8),(2,3),(4,9),(5,7),(6,10)]=>2 [(1,9),(2,3),(4,8),(5,7),(6,10)]=>2 [(1,10),(2,3),(4,8),(5,7),(6,9)]=>3 [(1,10),(2,4),(3,8),(5,7),(6,9)]=>2 [(1,9),(2,4),(3,8),(5,7),(6,10)]=>1 [(1,8),(2,4),(3,9),(5,7),(6,10)]=>1 [(1,7),(2,4),(3,9),(5,8),(6,10)]=>1 [(1,6),(2,4),(3,9),(5,8),(7,10)]=>1 [(1,5),(2,4),(3,9),(6,8),(7,10)]=>1 [(1,4),(2,5),(3,9),(6,8),(7,10)]=>1 [(1,3),(2,5),(4,9),(6,8),(7,10)]=>1 [(1,2),(3,5),(4,9),(6,8),(7,10)]=>2 [(1,2),(3,6),(4,9),(5,8),(7,10)]=>2 [(1,3),(2,6),(4,9),(5,8),(7,10)]=>1 [(1,4),(2,6),(3,9),(5,8),(7,10)]=>1 [(1,5),(2,6),(3,9),(4,8),(7,10)]=>1 [(1,6),(2,5),(3,9),(4,8),(7,10)]=>1 [(1,7),(2,5),(3,9),(4,8),(6,10)]=>1 [(1,8),(2,5),(3,9),(4,7),(6,10)]=>1 [(1,9),(2,5),(3,8),(4,7),(6,10)]=>1 [(1,10),(2,5),(3,8),(4,7),(6,9)]=>2 [(1,10),(2,6),(3,8),(4,7),(5,9)]=>2 [(1,9),(2,6),(3,8),(4,7),(5,10)]=>1 [(1,8),(2,6),(3,9),(4,7),(5,10)]=>1 [(1,7),(2,6),(3,9),(4,8),(5,10)]=>1 [(1,6),(2,7),(3,9),(4,8),(5,10)]=>1 [(1,5),(2,7),(3,9),(4,8),(6,10)]=>1 [(1,4),(2,7),(3,9),(5,8),(6,10)]=>1 [(1,3),(2,7),(4,9),(5,8),(6,10)]=>1 [(1,2),(3,7),(4,9),(5,8),(6,10)]=>2 [(1,2),(3,8),(4,9),(5,7),(6,10)]=>2 [(1,3),(2,8),(4,9),(5,7),(6,10)]=>1 [(1,4),(2,8),(3,9),(5,7),(6,10)]=>1 [(1,5),(2,8),(3,9),(4,7),(6,10)]=>1 [(1,6),(2,8),(3,9),(4,7),(5,10)]=>1 [(1,7),(2,8),(3,9),(4,6),(5,10)]=>1 [(1,8),(2,7),(3,9),(4,6),(5,10)]=>1 [(1,9),(2,7),(3,8),(4,6),(5,10)]=>1 [(1,10),(2,7),(3,8),(4,6),(5,9)]=>2 [(1,10),(2,8),(3,7),(4,6),(5,9)]=>2 [(1,9),(2,8),(3,7),(4,6),(5,10)]=>1 [(1,8),(2,9),(3,7),(4,6),(5,10)]=>1 [(1,7),(2,9),(3,8),(4,6),(5,10)]=>1 [(1,6),(2,9),(3,8),(4,7),(5,10)]=>1 [(1,5),(2,9),(3,8),(4,7),(6,10)]=>1 [(1,4),(2,9),(3,8),(5,7),(6,10)]=>1 [(1,3),(2,9),(4,8),(5,7),(6,10)]=>1 [(1,2),(3,9),(4,8),(5,7),(6,10)]=>2 [(1,2),(3,10),(4,8),(5,7),(6,9)]=>3 [(1,3),(2,10),(4,8),(5,7),(6,9)]=>2 [(1,4),(2,10),(3,8),(5,7),(6,9)]=>1 [(1,5),(2,10),(3,8),(4,7),(6,9)]=>1 [(1,6),(2,10),(3,8),(4,7),(5,9)]=>1 [(1,7),(2,10),(3,8),(4,6),(5,9)]=>1 [(1,8),(2,10),(3,7),(4,6),(5,9)]=>1 [(1,9),(2,10),(3,7),(4,6),(5,8)]=>2 [(1,10),(2,9),(3,7),(4,6),(5,8)]=>3 [(1,10),(2,9),(3,6),(4,7),(5,8)]=>3 [(1,9),(2,10),(3,6),(4,7),(5,8)]=>2 [(1,8),(2,10),(3,6),(4,7),(5,9)]=>1 [(1,7),(2,10),(3,6),(4,8),(5,9)]=>1 [(1,6),(2,10),(3,7),(4,8),(5,9)]=>1 [(1,5),(2,10),(3,7),(4,8),(6,9)]=>1 [(1,4),(2,10),(3,7),(5,8),(6,9)]=>1 [(1,3),(2,10),(4,7),(5,8),(6,9)]=>2 [(1,2),(3,10),(4,7),(5,8),(6,9)]=>3 [(1,2),(3,9),(4,7),(5,8),(6,10)]=>2 [(1,3),(2,9),(4,7),(5,8),(6,10)]=>1 [(1,4),(2,9),(3,7),(5,8),(6,10)]=>1 [(1,5),(2,9),(3,7),(4,8),(6,10)]=>1 [(1,6),(2,9),(3,7),(4,8),(5,10)]=>1 [(1,7),(2,9),(3,6),(4,8),(5,10)]=>1 [(1,8),(2,9),(3,6),(4,7),(5,10)]=>1 [(1,9),(2,8),(3,6),(4,7),(5,10)]=>1 [(1,10),(2,8),(3,6),(4,7),(5,9)]=>2 [(1,10),(2,7),(3,6),(4,8),(5,9)]=>2 [(1,9),(2,7),(3,6),(4,8),(5,10)]=>1 [(1,8),(2,7),(3,6),(4,9),(5,10)]=>1 [(1,7),(2,8),(3,6),(4,9),(5,10)]=>1 [(1,6),(2,8),(3,7),(4,9),(5,10)]=>1 [(1,5),(2,8),(3,7),(4,9),(6,10)]=>1 [(1,4),(2,8),(3,7),(5,9),(6,10)]=>1 [(1,3),(2,8),(4,7),(5,9),(6,10)]=>1 [(1,2),(3,8),(4,7),(5,9),(6,10)]=>2 [(1,2),(3,7),(4,8),(5,9),(6,10)]=>2 [(1,3),(2,7),(4,8),(5,9),(6,10)]=>1 [(1,4),(2,7),(3,8),(5,9),(6,10)]=>1 [(1,5),(2,7),(3,8),(4,9),(6,10)]=>1 [(1,6),(2,7),(3,8),(4,9),(5,10)]=>1 [(1,7),(2,6),(3,8),(4,9),(5,10)]=>1 [(1,8),(2,6),(3,7),(4,9),(5,10)]=>1 [(1,9),(2,6),(3,7),(4,8),(5,10)]=>1 [(1,10),(2,6),(3,7),(4,8),(5,9)]=>2 [(1,10),(2,5),(3,7),(4,8),(6,9)]=>2 [(1,9),(2,5),(3,7),(4,8),(6,10)]=>1 [(1,8),(2,5),(3,7),(4,9),(6,10)]=>1 [(1,7),(2,5),(3,8),(4,9),(6,10)]=>1 [(1,6),(2,5),(3,8),(4,9),(7,10)]=>1 [(1,5),(2,6),(3,8),(4,9),(7,10)]=>1 [(1,4),(2,6),(3,8),(5,9),(7,10)]=>1 [(1,3),(2,6),(4,8),(5,9),(7,10)]=>1 [(1,2),(3,6),(4,8),(5,9),(7,10)]=>2 [(1,2),(3,5),(4,8),(6,9),(7,10)]=>2 [(1,3),(2,5),(4,8),(6,9),(7,10)]=>1 [(1,4),(2,5),(3,8),(6,9),(7,10)]=>1 [(1,5),(2,4),(3,8),(6,9),(7,10)]=>1 [(1,6),(2,4),(3,8),(5,9),(7,10)]=>1 [(1,7),(2,4),(3,8),(5,9),(6,10)]=>1 [(1,8),(2,4),(3,7),(5,9),(6,10)]=>1 [(1,9),(2,4),(3,7),(5,8),(6,10)]=>1 [(1,10),(2,4),(3,7),(5,8),(6,9)]=>2 [(1,10),(2,3),(4,7),(5,8),(6,9)]=>3 [(1,9),(2,3),(4,7),(5,8),(6,10)]=>2 [(1,8),(2,3),(4,7),(5,9),(6,10)]=>2 [(1,7),(2,3),(4,8),(5,9),(6,10)]=>2 [(1,6),(2,3),(4,8),(5,9),(7,10)]=>2 [(1,5),(2,3),(4,8),(6,9),(7,10)]=>2 [(1,4),(2,3),(5,8),(6,9),(7,10)]=>3 [(1,3),(2,4),(5,8),(6,9),(7,10)]=>2 [(1,2),(3,4),(5,8),(6,9),(7,10)]=>3 [(1,2),(3,4),(5,7),(6,9),(8,10)]=>3 [(1,3),(2,4),(5,7),(6,9),(8,10)]=>2 [(1,4),(2,3),(5,7),(6,9),(8,10)]=>3 [(1,5),(2,3),(4,7),(6,9),(8,10)]=>2 [(1,6),(2,3),(4,7),(5,9),(8,10)]=>2 [(1,7),(2,3),(4,6),(5,9),(8,10)]=>2 [(1,8),(2,3),(4,6),(5,9),(7,10)]=>2 [(1,9),(2,3),(4,6),(5,8),(7,10)]=>2 [(1,10),(2,3),(4,6),(5,8),(7,9)]=>3 [(1,10),(2,4),(3,6),(5,8),(7,9)]=>2 [(1,9),(2,4),(3,6),(5,8),(7,10)]=>1 [(1,8),(2,4),(3,6),(5,9),(7,10)]=>1 [(1,7),(2,4),(3,6),(5,9),(8,10)]=>1 [(1,6),(2,4),(3,7),(5,9),(8,10)]=>1 [(1,5),(2,4),(3,7),(6,9),(8,10)]=>1 [(1,4),(2,5),(3,7),(6,9),(8,10)]=>1 [(1,3),(2,5),(4,7),(6,9),(8,10)]=>1 [(1,2),(3,5),(4,7),(6,9),(8,10)]=>2 [(1,2),(3,6),(4,7),(5,9),(8,10)]=>2 [(1,3),(2,6),(4,7),(5,9),(8,10)]=>1 [(1,4),(2,6),(3,7),(5,9),(8,10)]=>1 [(1,5),(2,6),(3,7),(4,9),(8,10)]=>1 [(1,6),(2,5),(3,7),(4,9),(8,10)]=>1 [(1,7),(2,5),(3,6),(4,9),(8,10)]=>1 [(1,8),(2,5),(3,6),(4,9),(7,10)]=>1 [(1,9),(2,5),(3,6),(4,8),(7,10)]=>1 [(1,10),(2,5),(3,6),(4,8),(7,9)]=>2 [(1,10),(2,6),(3,5),(4,8),(7,9)]=>2 [(1,9),(2,6),(3,5),(4,8),(7,10)]=>1 [(1,8),(2,6),(3,5),(4,9),(7,10)]=>1 [(1,7),(2,6),(3,5),(4,9),(8,10)]=>1 [(1,6),(2,7),(3,5),(4,9),(8,10)]=>1 [(1,5),(2,7),(3,6),(4,9),(8,10)]=>1 [(1,4),(2,7),(3,6),(5,9),(8,10)]=>1 [(1,3),(2,7),(4,6),(5,9),(8,10)]=>1 [(1,2),(3,7),(4,6),(5,9),(8,10)]=>2 [(1,2),(3,8),(4,6),(5,9),(7,10)]=>2 [(1,3),(2,8),(4,6),(5,9),(7,10)]=>1 [(1,4),(2,8),(3,6),(5,9),(7,10)]=>1 [(1,5),(2,8),(3,6),(4,9),(7,10)]=>1 [(1,6),(2,8),(3,5),(4,9),(7,10)]=>1 [(1,7),(2,8),(3,5),(4,9),(6,10)]=>1 [(1,8),(2,7),(3,5),(4,9),(6,10)]=>1 [(1,9),(2,7),(3,5),(4,8),(6,10)]=>1 [(1,10),(2,7),(3,5),(4,8),(6,9)]=>2 [(1,10),(2,8),(3,5),(4,7),(6,9)]=>2 [(1,9),(2,8),(3,5),(4,7),(6,10)]=>1 [(1,8),(2,9),(3,5),(4,7),(6,10)]=>1 [(1,7),(2,9),(3,5),(4,8),(6,10)]=>1 [(1,6),(2,9),(3,5),(4,8),(7,10)]=>1 [(1,5),(2,9),(3,6),(4,8),(7,10)]=>1 [(1,4),(2,9),(3,6),(5,8),(7,10)]=>1 [(1,3),(2,9),(4,6),(5,8),(7,10)]=>1 [(1,2),(3,9),(4,6),(5,8),(7,10)]=>2 [(1,2),(3,10),(4,6),(5,8),(7,9)]=>3 [(1,3),(2,10),(4,6),(5,8),(7,9)]=>2 [(1,4),(2,10),(3,6),(5,8),(7,9)]=>1 [(1,5),(2,10),(3,6),(4,8),(7,9)]=>1 [(1,6),(2,10),(3,5),(4,8),(7,9)]=>1 [(1,7),(2,10),(3,5),(4,8),(6,9)]=>1 [(1,8),(2,10),(3,5),(4,7),(6,9)]=>1 [(1,9),(2,10),(3,5),(4,7),(6,8)]=>2 [(1,10),(2,9),(3,5),(4,7),(6,8)]=>3 [(1,10),(2,9),(3,4),(5,7),(6,8)]=>4 [(1,9),(2,10),(3,4),(5,7),(6,8)]=>3 [(1,8),(2,10),(3,4),(5,7),(6,9)]=>2 [(1,7),(2,10),(3,4),(5,8),(6,9)]=>2 [(1,6),(2,10),(3,4),(5,8),(7,9)]=>2 [(1,5),(2,10),(3,4),(6,8),(7,9)]=>3 [(1,4),(2,10),(3,5),(6,8),(7,9)]=>2 [(1,3),(2,10),(4,5),(6,8),(7,9)]=>3 [(1,2),(3,10),(4,5),(6,8),(7,9)]=>4 [(1,2),(3,9),(4,5),(6,8),(7,10)]=>3 [(1,3),(2,9),(4,5),(6,8),(7,10)]=>2 [(1,4),(2,9),(3,5),(6,8),(7,10)]=>1 [(1,5),(2,9),(3,4),(6,8),(7,10)]=>2 [(1,6),(2,9),(3,4),(5,8),(7,10)]=>2 [(1,7),(2,9),(3,4),(5,8),(6,10)]=>2 [(1,8),(2,9),(3,4),(5,7),(6,10)]=>2 [(1,9),(2,8),(3,4),(5,7),(6,10)]=>2 [(1,10),(2,8),(3,4),(5,7),(6,9)]=>3 [(1,10),(2,7),(3,4),(5,8),(6,9)]=>3 [(1,9),(2,7),(3,4),(5,8),(6,10)]=>2 [(1,8),(2,7),(3,4),(5,9),(6,10)]=>2 [(1,7),(2,8),(3,4),(5,9),(6,10)]=>2 [(1,6),(2,8),(3,4),(5,9),(7,10)]=>2 [(1,5),(2,8),(3,4),(6,9),(7,10)]=>2 [(1,4),(2,8),(3,5),(6,9),(7,10)]=>1 [(1,3),(2,8),(4,5),(6,9),(7,10)]=>2 [(1,2),(3,8),(4,5),(6,9),(7,10)]=>3 [(1,2),(3,7),(4,5),(6,9),(8,10)]=>3 [(1,3),(2,7),(4,5),(6,9),(8,10)]=>2 [(1,4),(2,7),(3,5),(6,9),(8,10)]=>1 [(1,5),(2,7),(3,4),(6,9),(8,10)]=>2 [(1,6),(2,7),(3,4),(5,9),(8,10)]=>2 [(1,7),(2,6),(3,4),(5,9),(8,10)]=>2 [(1,8),(2,6),(3,4),(5,9),(7,10)]=>2 [(1,9),(2,6),(3,4),(5,8),(7,10)]=>2 [(1,10),(2,6),(3,4),(5,8),(7,9)]=>3 [(1,10),(2,5),(3,4),(6,8),(7,9)]=>4 [(1,9),(2,5),(3,4),(6,8),(7,10)]=>3 [(1,8),(2,5),(3,4),(6,9),(7,10)]=>3 [(1,7),(2,5),(3,4),(6,9),(8,10)]=>3 [(1,6),(2,5),(3,4),(7,9),(8,10)]=>4 [(1,5),(2,6),(3,4),(7,9),(8,10)]=>3 [(1,4),(2,6),(3,5),(7,9),(8,10)]=>2 [(1,3),(2,6),(4,5),(7,9),(8,10)]=>3 [(1,2),(3,6),(4,5),(7,9),(8,10)]=>4 [(1,2),(3,5),(4,6),(7,9),(8,10)]=>3 [(1,3),(2,5),(4,6),(7,9),(8,10)]=>2 [(1,4),(2,5),(3,6),(7,9),(8,10)]=>2 [(1,5),(2,4),(3,6),(7,9),(8,10)]=>2 [(1,6),(2,4),(3,5),(7,9),(8,10)]=>3 [(1,7),(2,4),(3,5),(6,9),(8,10)]=>2 [(1,8),(2,4),(3,5),(6,9),(7,10)]=>2 [(1,9),(2,4),(3,5),(6,8),(7,10)]=>2 [(1,10),(2,4),(3,5),(6,8),(7,9)]=>3 [(1,10),(2,3),(4,5),(6,8),(7,9)]=>4 [(1,9),(2,3),(4,5),(6,8),(7,10)]=>3 [(1,8),(2,3),(4,5),(6,9),(7,10)]=>3 [(1,7),(2,3),(4,5),(6,9),(8,10)]=>3 [(1,6),(2,3),(4,5),(7,9),(8,10)]=>4 [(1,5),(2,3),(4,6),(7,9),(8,10)]=>3 [(1,4),(2,3),(5,6),(7,9),(8,10)]=>4 [(1,3),(2,4),(5,6),(7,9),(8,10)]=>3 [(1,2),(3,4),(5,6),(7,9),(8,10)]=>4 [(1,2),(3,4),(5,6),(7,10),(8,9)]=>5 [(1,3),(2,4),(5,6),(7,10),(8,9)]=>4 [(1,4),(2,3),(5,6),(7,10),(8,9)]=>5 [(1,5),(2,3),(4,6),(7,10),(8,9)]=>4 [(1,6),(2,3),(4,5),(7,10),(8,9)]=>5 [(1,7),(2,3),(4,5),(6,10),(8,9)]=>4 [(1,8),(2,3),(4,5),(6,10),(7,9)]=>3 [(1,9),(2,3),(4,5),(6,10),(7,8)]=>4 [(1,10),(2,3),(4,5),(6,9),(7,8)]=>5 [(1,10),(2,4),(3,5),(6,9),(7,8)]=>4 [(1,9),(2,4),(3,5),(6,10),(7,8)]=>3 [(1,8),(2,4),(3,5),(6,10),(7,9)]=>2 [(1,7),(2,4),(3,5),(6,10),(8,9)]=>3 [(1,6),(2,4),(3,5),(7,10),(8,9)]=>4 [(1,5),(2,4),(3,6),(7,10),(8,9)]=>3 [(1,4),(2,5),(3,6),(7,10),(8,9)]=>3 [(1,3),(2,5),(4,6),(7,10),(8,9)]=>3 [(1,2),(3,5),(4,6),(7,10),(8,9)]=>4 [(1,2),(3,6),(4,5),(7,10),(8,9)]=>5 [(1,3),(2,6),(4,5),(7,10),(8,9)]=>4 [(1,4),(2,6),(3,5),(7,10),(8,9)]=>3 [(1,5),(2,6),(3,4),(7,10),(8,9)]=>4 [(1,6),(2,5),(3,4),(7,10),(8,9)]=>5 [(1,7),(2,5),(3,4),(6,10),(8,9)]=>4 [(1,8),(2,5),(3,4),(6,10),(7,9)]=>3 [(1,9),(2,5),(3,4),(6,10),(7,8)]=>4 [(1,10),(2,5),(3,4),(6,9),(7,8)]=>5 [(1,10),(2,6),(3,4),(5,9),(7,8)]=>4 [(1,9),(2,6),(3,4),(5,10),(7,8)]=>3 [(1,8),(2,6),(3,4),(5,10),(7,9)]=>2 [(1,7),(2,6),(3,4),(5,10),(8,9)]=>3 [(1,6),(2,7),(3,4),(5,10),(8,9)]=>3 [(1,5),(2,7),(3,4),(6,10),(8,9)]=>3 [(1,4),(2,7),(3,5),(6,10),(8,9)]=>2 [(1,3),(2,7),(4,5),(6,10),(8,9)]=>3 [(1,2),(3,7),(4,5),(6,10),(8,9)]=>4 [(1,2),(3,8),(4,5),(6,10),(7,9)]=>3 [(1,3),(2,8),(4,5),(6,10),(7,9)]=>2 [(1,4),(2,8),(3,5),(6,10),(7,9)]=>1 [(1,5),(2,8),(3,4),(6,10),(7,9)]=>2 [(1,6),(2,8),(3,4),(5,10),(7,9)]=>2 [(1,7),(2,8),(3,4),(5,10),(6,9)]=>2 [(1,8),(2,7),(3,4),(5,10),(6,9)]=>2 [(1,9),(2,7),(3,4),(5,10),(6,8)]=>2 [(1,10),(2,7),(3,4),(5,9),(6,8)]=>3 [(1,10),(2,8),(3,4),(5,9),(6,7)]=>4 [(1,9),(2,8),(3,4),(5,10),(6,7)]=>3 [(1,8),(2,9),(3,4),(5,10),(6,7)]=>3 [(1,7),(2,9),(3,4),(5,10),(6,8)]=>2 [(1,6),(2,9),(3,4),(5,10),(7,8)]=>3 [(1,5),(2,9),(3,4),(6,10),(7,8)]=>3 [(1,4),(2,9),(3,5),(6,10),(7,8)]=>2 [(1,3),(2,9),(4,5),(6,10),(7,8)]=>3 [(1,2),(3,9),(4,5),(6,10),(7,8)]=>4 [(1,2),(3,10),(4,5),(6,9),(7,8)]=>5 [(1,3),(2,10),(4,5),(6,9),(7,8)]=>4 [(1,4),(2,10),(3,5),(6,9),(7,8)]=>3 [(1,5),(2,10),(3,4),(6,9),(7,8)]=>4 [(1,6),(2,10),(3,4),(5,9),(7,8)]=>3 [(1,7),(2,10),(3,4),(5,9),(6,8)]=>2 [(1,8),(2,10),(3,4),(5,9),(6,7)]=>3 [(1,9),(2,10),(3,4),(5,8),(6,7)]=>4 [(1,10),(2,9),(3,4),(5,8),(6,7)]=>5 [(1,10),(2,9),(3,5),(4,8),(6,7)]=>4 [(1,9),(2,10),(3,5),(4,8),(6,7)]=>3 [(1,8),(2,10),(3,5),(4,9),(6,7)]=>2 [(1,7),(2,10),(3,5),(4,9),(6,8)]=>1 [(1,6),(2,10),(3,5),(4,9),(7,8)]=>2 [(1,5),(2,10),(3,6),(4,9),(7,8)]=>2 [(1,4),(2,10),(3,6),(5,9),(7,8)]=>2 [(1,3),(2,10),(4,6),(5,9),(7,8)]=>3 [(1,2),(3,10),(4,6),(5,9),(7,8)]=>4 [(1,2),(3,9),(4,6),(5,10),(7,8)]=>3 [(1,3),(2,9),(4,6),(5,10),(7,8)]=>2 [(1,4),(2,9),(3,6),(5,10),(7,8)]=>2 [(1,5),(2,9),(3,6),(4,10),(7,8)]=>2 [(1,6),(2,9),(3,5),(4,10),(7,8)]=>2 [(1,7),(2,9),(3,5),(4,10),(6,8)]=>1 [(1,8),(2,9),(3,5),(4,10),(6,7)]=>2 [(1,9),(2,8),(3,5),(4,10),(6,7)]=>2 [(1,10),(2,8),(3,5),(4,9),(6,7)]=>3 [(1,10),(2,7),(3,5),(4,9),(6,8)]=>2 [(1,9),(2,7),(3,5),(4,10),(6,8)]=>1 [(1,8),(2,7),(3,5),(4,10),(6,9)]=>1 [(1,7),(2,8),(3,5),(4,10),(6,9)]=>1 [(1,6),(2,8),(3,5),(4,10),(7,9)]=>1 [(1,5),(2,8),(3,6),(4,10),(7,9)]=>1 [(1,4),(2,8),(3,6),(5,10),(7,9)]=>1 [(1,3),(2,8),(4,6),(5,10),(7,9)]=>1 [(1,2),(3,8),(4,6),(5,10),(7,9)]=>2 [(1,2),(3,7),(4,6),(5,10),(8,9)]=>3 [(1,3),(2,7),(4,6),(5,10),(8,9)]=>2 [(1,4),(2,7),(3,6),(5,10),(8,9)]=>2 [(1,5),(2,7),(3,6),(4,10),(8,9)]=>2 [(1,6),(2,7),(3,5),(4,10),(8,9)]=>2 [(1,7),(2,6),(3,5),(4,10),(8,9)]=>2 [(1,8),(2,6),(3,5),(4,10),(7,9)]=>1 [(1,9),(2,6),(3,5),(4,10),(7,8)]=>2 [(1,10),(2,6),(3,5),(4,9),(7,8)]=>3 [(1,10),(2,5),(3,6),(4,9),(7,8)]=>3 [(1,9),(2,5),(3,6),(4,10),(7,8)]=>2 [(1,8),(2,5),(3,6),(4,10),(7,9)]=>1 [(1,7),(2,5),(3,6),(4,10),(8,9)]=>2 [(1,6),(2,5),(3,7),(4,10),(8,9)]=>2 [(1,5),(2,6),(3,7),(4,10),(8,9)]=>2 [(1,4),(2,6),(3,7),(5,10),(8,9)]=>2 [(1,3),(2,6),(4,7),(5,10),(8,9)]=>2 [(1,2),(3,6),(4,7),(5,10),(8,9)]=>3 [(1,2),(3,5),(4,7),(6,10),(8,9)]=>3 [(1,3),(2,5),(4,7),(6,10),(8,9)]=>2 [(1,4),(2,5),(3,7),(6,10),(8,9)]=>2 [(1,5),(2,4),(3,7),(6,10),(8,9)]=>2 [(1,6),(2,4),(3,7),(5,10),(8,9)]=>2 [(1,7),(2,4),(3,6),(5,10),(8,9)]=>2 [(1,8),(2,4),(3,6),(5,10),(7,9)]=>1 [(1,9),(2,4),(3,6),(5,10),(7,8)]=>2 [(1,10),(2,4),(3,6),(5,9),(7,8)]=>3 [(1,10),(2,3),(4,6),(5,9),(7,8)]=>4 [(1,9),(2,3),(4,6),(5,10),(7,8)]=>3 [(1,8),(2,3),(4,6),(5,10),(7,9)]=>2 [(1,7),(2,3),(4,6),(5,10),(8,9)]=>3 [(1,6),(2,3),(4,7),(5,10),(8,9)]=>3 [(1,5),(2,3),(4,7),(6,10),(8,9)]=>3 [(1,4),(2,3),(5,7),(6,10),(8,9)]=>4 [(1,3),(2,4),(5,7),(6,10),(8,9)]=>3 [(1,2),(3,4),(5,7),(6,10),(8,9)]=>4 [(1,2),(3,4),(5,8),(6,10),(7,9)]=>3 [(1,3),(2,4),(5,8),(6,10),(7,9)]=>2 [(1,4),(2,3),(5,8),(6,10),(7,9)]=>3 [(1,5),(2,3),(4,8),(6,10),(7,9)]=>2 [(1,6),(2,3),(4,8),(5,10),(7,9)]=>2 [(1,7),(2,3),(4,8),(5,10),(6,9)]=>2 [(1,8),(2,3),(4,7),(5,10),(6,9)]=>2 [(1,9),(2,3),(4,7),(5,10),(6,8)]=>2 [(1,10),(2,3),(4,7),(5,9),(6,8)]=>3 [(1,10),(2,4),(3,7),(5,9),(6,8)]=>2 [(1,9),(2,4),(3,7),(5,10),(6,8)]=>1 [(1,8),(2,4),(3,7),(5,10),(6,9)]=>1 [(1,7),(2,4),(3,8),(5,10),(6,9)]=>1 [(1,6),(2,4),(3,8),(5,10),(7,9)]=>1 [(1,5),(2,4),(3,8),(6,10),(7,9)]=>1 [(1,4),(2,5),(3,8),(6,10),(7,9)]=>1 [(1,3),(2,5),(4,8),(6,10),(7,9)]=>1 [(1,2),(3,5),(4,8),(6,10),(7,9)]=>2 [(1,2),(3,6),(4,8),(5,10),(7,9)]=>2 [(1,3),(2,6),(4,8),(5,10),(7,9)]=>1 [(1,4),(2,6),(3,8),(5,10),(7,9)]=>1 [(1,5),(2,6),(3,8),(4,10),(7,9)]=>1 [(1,6),(2,5),(3,8),(4,10),(7,9)]=>1 [(1,7),(2,5),(3,8),(4,10),(6,9)]=>1 [(1,8),(2,5),(3,7),(4,10),(6,9)]=>1 [(1,9),(2,5),(3,7),(4,10),(6,8)]=>1 [(1,10),(2,5),(3,7),(4,9),(6,8)]=>2 [(1,10),(2,6),(3,7),(4,9),(5,8)]=>2 [(1,9),(2,6),(3,7),(4,10),(5,8)]=>1 [(1,8),(2,6),(3,7),(4,10),(5,9)]=>1 [(1,7),(2,6),(3,8),(4,10),(5,9)]=>1 [(1,6),(2,7),(3,8),(4,10),(5,9)]=>1 [(1,5),(2,7),(3,8),(4,10),(6,9)]=>1 [(1,4),(2,7),(3,8),(5,10),(6,9)]=>1 [(1,3),(2,7),(4,8),(5,10),(6,9)]=>1 [(1,2),(3,7),(4,8),(5,10),(6,9)]=>2 [(1,2),(3,8),(4,7),(5,10),(6,9)]=>2 [(1,3),(2,8),(4,7),(5,10),(6,9)]=>1 [(1,4),(2,8),(3,7),(5,10),(6,9)]=>1 [(1,5),(2,8),(3,7),(4,10),(6,9)]=>1 [(1,6),(2,8),(3,7),(4,10),(5,9)]=>1 [(1,7),(2,8),(3,6),(4,10),(5,9)]=>1 [(1,8),(2,7),(3,6),(4,10),(5,9)]=>1 [(1,9),(2,7),(3,6),(4,10),(5,8)]=>1 [(1,10),(2,7),(3,6),(4,9),(5,8)]=>2 [(1,10),(2,8),(3,6),(4,9),(5,7)]=>2 [(1,9),(2,8),(3,6),(4,10),(5,7)]=>1 [(1,8),(2,9),(3,6),(4,10),(5,7)]=>1 [(1,7),(2,9),(3,6),(4,10),(5,8)]=>1 [(1,6),(2,9),(3,7),(4,10),(5,8)]=>1 [(1,5),(2,9),(3,7),(4,10),(6,8)]=>1 [(1,4),(2,9),(3,7),(5,10),(6,8)]=>1 [(1,3),(2,9),(4,7),(5,10),(6,8)]=>1 [(1,2),(3,9),(4,7),(5,10),(6,8)]=>2 [(1,2),(3,10),(4,7),(5,9),(6,8)]=>3 [(1,3),(2,10),(4,7),(5,9),(6,8)]=>2 [(1,4),(2,10),(3,7),(5,9),(6,8)]=>1 [(1,5),(2,10),(3,7),(4,9),(6,8)]=>1 [(1,6),(2,10),(3,7),(4,9),(5,8)]=>1 [(1,7),(2,10),(3,6),(4,9),(5,8)]=>1 [(1,8),(2,10),(3,6),(4,9),(5,7)]=>1 [(1,9),(2,10),(3,6),(4,8),(5,7)]=>2 [(1,10),(2,9),(3,6),(4,8),(5,7)]=>3 [(1,10),(2,9),(3,7),(4,8),(5,6)]=>4 [(1,9),(2,10),(3,7),(4,8),(5,6)]=>3 [(1,8),(2,10),(3,7),(4,9),(5,6)]=>2 [(1,7),(2,10),(3,8),(4,9),(5,6)]=>2 [(1,6),(2,10),(3,8),(4,9),(5,7)]=>1 [(1,5),(2,10),(3,8),(4,9),(6,7)]=>2 [(1,4),(2,10),(3,8),(5,9),(6,7)]=>2 [(1,3),(2,10),(4,8),(5,9),(6,7)]=>3 [(1,2),(3,10),(4,8),(5,9),(6,7)]=>4 [(1,2),(3,9),(4,8),(5,10),(6,7)]=>3 [(1,3),(2,9),(4,8),(5,10),(6,7)]=>2 [(1,4),(2,9),(3,8),(5,10),(6,7)]=>2 [(1,5),(2,9),(3,8),(4,10),(6,7)]=>2 [(1,6),(2,9),(3,8),(4,10),(5,7)]=>1 [(1,7),(2,9),(3,8),(4,10),(5,6)]=>2 [(1,8),(2,9),(3,7),(4,10),(5,6)]=>2 [(1,9),(2,8),(3,7),(4,10),(5,6)]=>2 [(1,10),(2,8),(3,7),(4,9),(5,6)]=>3 [(1,10),(2,7),(3,8),(4,9),(5,6)]=>3 [(1,9),(2,7),(3,8),(4,10),(5,6)]=>2 [(1,8),(2,7),(3,9),(4,10),(5,6)]=>2 [(1,7),(2,8),(3,9),(4,10),(5,6)]=>2 [(1,6),(2,8),(3,9),(4,10),(5,7)]=>1 [(1,5),(2,8),(3,9),(4,10),(6,7)]=>2 [(1,4),(2,8),(3,9),(5,10),(6,7)]=>2 [(1,3),(2,8),(4,9),(5,10),(6,7)]=>2 [(1,2),(3,8),(4,9),(5,10),(6,7)]=>3 [(1,2),(3,7),(4,9),(5,10),(6,8)]=>2 [(1,3),(2,7),(4,9),(5,10),(6,8)]=>1 [(1,4),(2,7),(3,9),(5,10),(6,8)]=>1 [(1,5),(2,7),(3,9),(4,10),(6,8)]=>1 [(1,6),(2,7),(3,9),(4,10),(5,8)]=>1 [(1,7),(2,6),(3,9),(4,10),(5,8)]=>1 [(1,8),(2,6),(3,9),(4,10),(5,7)]=>1 [(1,9),(2,6),(3,8),(4,10),(5,7)]=>1 [(1,10),(2,6),(3,8),(4,9),(5,7)]=>2 [(1,10),(2,5),(3,8),(4,9),(6,7)]=>3 [(1,9),(2,5),(3,8),(4,10),(6,7)]=>2 [(1,8),(2,5),(3,9),(4,10),(6,7)]=>2 [(1,7),(2,5),(3,9),(4,10),(6,8)]=>1 [(1,6),(2,5),(3,9),(4,10),(7,8)]=>2 [(1,5),(2,6),(3,9),(4,10),(7,8)]=>2 [(1,4),(2,6),(3,9),(5,10),(7,8)]=>2 [(1,3),(2,6),(4,9),(5,10),(7,8)]=>2 [(1,2),(3,6),(4,9),(5,10),(7,8)]=>3 [(1,2),(3,5),(4,9),(6,10),(7,8)]=>3 [(1,3),(2,5),(4,9),(6,10),(7,8)]=>2 [(1,4),(2,5),(3,9),(6,10),(7,8)]=>2 [(1,5),(2,4),(3,9),(6,10),(7,8)]=>2 [(1,6),(2,4),(3,9),(5,10),(7,8)]=>2 [(1,7),(2,4),(3,9),(5,10),(6,8)]=>1 [(1,8),(2,4),(3,9),(5,10),(6,7)]=>2 [(1,9),(2,4),(3,8),(5,10),(6,7)]=>2 [(1,10),(2,4),(3,8),(5,9),(6,7)]=>3 [(1,10),(2,3),(4,8),(5,9),(6,7)]=>4 [(1,9),(2,3),(4,8),(5,10),(6,7)]=>3 [(1,8),(2,3),(4,9),(5,10),(6,7)]=>3 [(1,7),(2,3),(4,9),(5,10),(6,8)]=>2 [(1,6),(2,3),(4,9),(5,10),(7,8)]=>3 [(1,5),(2,3),(4,9),(6,10),(7,8)]=>3 [(1,4),(2,3),(5,9),(6,10),(7,8)]=>4 [(1,3),(2,4),(5,9),(6,10),(7,8)]=>3 [(1,2),(3,4),(5,9),(6,10),(7,8)]=>4 [(1,2),(3,4),(5,10),(6,9),(7,8)]=>5 [(1,3),(2,4),(5,10),(6,9),(7,8)]=>4 [(1,4),(2,3),(5,10),(6,9),(7,8)]=>5 [(1,5),(2,3),(4,10),(6,9),(7,8)]=>4 [(1,6),(2,3),(4,10),(5,9),(7,8)]=>3 [(1,7),(2,3),(4,10),(5,9),(6,8)]=>2 [(1,8),(2,3),(4,10),(5,9),(6,7)]=>3 [(1,9),(2,3),(4,10),(5,8),(6,7)]=>4 [(1,10),(2,3),(4,9),(5,8),(6,7)]=>5 [(1,10),(2,4),(3,9),(5,8),(6,7)]=>4 [(1,9),(2,4),(3,10),(5,8),(6,7)]=>3 [(1,8),(2,4),(3,10),(5,9),(6,7)]=>2 [(1,7),(2,4),(3,10),(5,9),(6,8)]=>1 [(1,6),(2,4),(3,10),(5,9),(7,8)]=>2 [(1,5),(2,4),(3,10),(6,9),(7,8)]=>3 [(1,4),(2,5),(3,10),(6,9),(7,8)]=>3 [(1,3),(2,5),(4,10),(6,9),(7,8)]=>3 [(1,2),(3,5),(4,10),(6,9),(7,8)]=>4 [(1,2),(3,6),(4,10),(5,9),(7,8)]=>3 [(1,3),(2,6),(4,10),(5,9),(7,8)]=>2 [(1,4),(2,6),(3,10),(5,9),(7,8)]=>2 [(1,5),(2,6),(3,10),(4,9),(7,8)]=>2 [(1,6),(2,5),(3,10),(4,9),(7,8)]=>2 [(1,7),(2,5),(3,10),(4,9),(6,8)]=>1 [(1,8),(2,5),(3,10),(4,9),(6,7)]=>2 [(1,9),(2,5),(3,10),(4,8),(6,7)]=>2 [(1,10),(2,5),(3,9),(4,8),(6,7)]=>3 [(1,10),(2,6),(3,9),(4,8),(5,7)]=>2 [(1,9),(2,6),(3,10),(4,8),(5,7)]=>1 [(1,8),(2,6),(3,10),(4,9),(5,7)]=>1 [(1,7),(2,6),(3,10),(4,9),(5,8)]=>1 [(1,6),(2,7),(3,10),(4,9),(5,8)]=>1 [(1,5),(2,7),(3,10),(4,9),(6,8)]=>1 [(1,4),(2,7),(3,10),(5,9),(6,8)]=>1 [(1,3),(2,7),(4,10),(5,9),(6,8)]=>1 [(1,2),(3,7),(4,10),(5,9),(6,8)]=>2 [(1,2),(3,8),(4,10),(5,9),(6,7)]=>3 [(1,3),(2,8),(4,10),(5,9),(6,7)]=>2 [(1,4),(2,8),(3,10),(5,9),(6,7)]=>2 [(1,5),(2,8),(3,10),(4,9),(6,7)]=>2 [(1,6),(2,8),(3,10),(4,9),(5,7)]=>1 [(1,7),(2,8),(3,10),(4,9),(5,6)]=>2 [(1,8),(2,7),(3,10),(4,9),(5,6)]=>2 [(1,9),(2,7),(3,10),(4,8),(5,6)]=>2 [(1,10),(2,7),(3,9),(4,8),(5,6)]=>3 [(1,10),(2,8),(3,9),(4,7),(5,6)]=>4 [(1,9),(2,8),(3,10),(4,7),(5,6)]=>3 [(1,8),(2,9),(3,10),(4,7),(5,6)]=>3 [(1,7),(2,9),(3,10),(4,8),(5,6)]=>2 [(1,6),(2,9),(3,10),(4,8),(5,7)]=>1 [(1,5),(2,9),(3,10),(4,8),(6,7)]=>2 [(1,4),(2,9),(3,10),(5,8),(6,7)]=>3 [(1,3),(2,9),(4,10),(5,8),(6,7)]=>3 [(1,2),(3,9),(4,10),(5,8),(6,7)]=>4 [(1,2),(3,10),(4,9),(5,8),(6,7)]=>5 [(1,3),(2,10),(4,9),(5,8),(6,7)]=>4 [(1,4),(2,10),(3,9),(5,8),(6,7)]=>3 [(1,5),(2,10),(3,9),(4,8),(6,7)]=>2 [(1,6),(2,10),(3,9),(4,8),(5,7)]=>1 [(1,7),(2,10),(3,9),(4,8),(5,6)]=>2 [(1,8),(2,10),(3,9),(4,7),(5,6)]=>3 [(1,9),(2,10),(3,8),(4,7),(5,6)]=>4 [(1,10),(2,9),(3,8),(4,7),(5,6)]=>5 [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>6 [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>6 [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>6 [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>6 [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>6 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>6 [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>6 [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>6 [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>6 [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>6 [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>6 [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>6 [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>6 [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>6 [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]=>5 [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]=>5 [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]=>4 [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]=>4 [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]=>5 [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]=>4 [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]=>4 [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]=>3 [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]=>3 [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]=>4 [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]=>3 [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]=>3 [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]=>3 [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]=>5 [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]=>4 [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]=>4 [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]=>3 [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]=>3 [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]=>4 [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]=>3 [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]=>3 [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]=>2 [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]=>2 [(1,2),(3,4),(5,6),(7,9),(8,12),(10,11)]=>5 [(1,2),(3,4),(5,6),(7,10),(8,12),(9,11)]=>4 [(1,2),(3,4),(5,6),(7,11),(8,9),(10,12)]=>5 [(1,2),(3,4),(5,6),(7,11),(8,10),(9,12)]=>4 [(1,2),(3,4),(5,6),(7,11),(8,12),(9,10)]=>5 [(1,2),(3,4),(5,6),(7,12),(8,10),(9,11)]=>5 [(1,2),(3,4),(5,7),(6,8),(9,12),(10,11)]=>5 [(1,2),(3,4),(5,7),(6,9),(8,12),(10,11)]=>4 [(1,2),(3,4),(5,7),(6,10),(8,9),(11,12)]=>5 [(1,2),(3,4),(5,7),(6,10),(8,12),(9,11)]=>3 [(1,2),(3,4),(5,7),(6,11),(8,9),(10,12)]=>4 [(1,2),(3,4),(5,7),(6,11),(8,10),(9,12)]=>3 [(1,2),(3,4),(5,7),(6,11),(8,12),(9,10)]=>4 [(1,2),(3,4),(5,7),(6,12),(8,9),(10,11)]=>5 [(1,2),(3,4),(5,7),(6,12),(8,10),(9,11)]=>4 [(1,2),(3,4),(5,7),(6,12),(8,11),(9,10)]=>5 [(1,2),(3,4),(5,8),(6,7),(9,11),(10,12)]=>5 [(1,2),(3,4),(5,8),(6,9),(7,12),(10,11)]=>4 [(1,2),(3,4),(5,8),(6,10),(7,12),(9,11)]=>3 [(1,2),(3,4),(5,8),(6,10),(7,9),(11,12)]=>4 [(1,2),(3,4),(5,8),(6,11),(7,12),(9,10)]=>4 [(1,2),(3,4),(5,8),(6,11),(7,10),(9,12)]=>3 [(1,2),(3,4),(5,8),(6,11),(7,9),(10,12)]=>3 [(1,2),(3,4),(5,8),(6,12),(7,11),(9,10)]=>4 [(1,2),(3,4),(5,8),(6,12),(7,10),(9,11)]=>3 [(1,2),(3,4),(5,8),(6,12),(7,9),(10,11)]=>4 [(1,2),(3,4),(5,9),(6,7),(8,10),(11,12)]=>5 [(1,2),(3,4),(5,9),(6,7),(8,11),(10,12)]=>4 [(1,2),(3,4),(5,9),(6,7),(8,12),(10,11)]=>5 [(1,2),(3,4),(5,9),(6,8),(7,12),(10,11)]=>4 [(1,2),(3,4),(5,9),(6,8),(7,11),(10,12)]=>3 [(1,2),(3,4),(5,9),(6,8),(7,10),(11,12)]=>4 [(1,2),(3,4),(5,9),(6,10),(7,12),(8,11)]=>3 [(1,2),(3,4),(5,9),(6,10),(7,8),(11,12)]=>5 [(1,2),(3,4),(5,9),(6,11),(7,12),(8,10)]=>3 [(1,2),(3,4),(5,9),(6,11),(7,10),(8,12)]=>3 [(1,2),(3,4),(5,9),(6,11),(7,8),(10,12)]=>4 [(1,2),(3,4),(5,9),(6,12),(7,11),(8,10)]=>3 [(1,2),(3,4),(5,9),(6,12),(7,10),(8,11)]=>3 [(1,2),(3,4),(5,9),(6,12),(7,8),(10,11)]=>5 [(1,2),(3,4),(5,10),(6,7),(8,11),(9,12)]=>4 [(1,2),(3,4),(5,10),(6,7),(8,12),(9,11)]=>4 [(1,2),(3,4),(5,10),(6,8),(7,12),(9,11)]=>3 [(1,2),(3,4),(5,10),(6,8),(7,11),(9,12)]=>3 [(1,2),(3,4),(5,10),(6,8),(7,9),(11,12)]=>5 [(1,2),(3,4),(5,10),(6,9),(7,12),(8,11)]=>3 [(1,2),(3,4),(5,10),(6,9),(7,11),(8,12)]=>3 [(1,2),(3,4),(5,10),(6,11),(7,12),(8,9)]=>4 [(1,2),(3,4),(5,10),(6,11),(7,9),(8,12)]=>3 [(1,2),(3,4),(5,10),(6,11),(7,8),(9,12)]=>4 [(1,2),(3,4),(5,10),(6,12),(7,11),(8,9)]=>4 [(1,2),(3,4),(5,10),(6,12),(7,9),(8,11)]=>3 [(1,2),(3,4),(5,10),(6,12),(7,8),(9,11)]=>4 [(1,2),(3,4),(5,11),(6,7),(8,9),(10,12)]=>5 [(1,2),(3,4),(5,11),(6,7),(8,10),(9,12)]=>4 [(1,2),(3,4),(5,11),(6,7),(8,12),(9,10)]=>5 [(1,2),(3,4),(5,11),(6,8),(7,12),(9,10)]=>4 [(1,2),(3,4),(5,11),(6,8),(7,10),(9,12)]=>3 [(1,2),(3,4),(5,11),(6,8),(7,9),(10,12)]=>4 [(1,2),(3,4),(5,11),(6,9),(7,12),(8,10)]=>3 [(1,2),(3,4),(5,11),(6,9),(7,10),(8,12)]=>3 [(1,2),(3,4),(5,11),(6,9),(7,8),(10,12)]=>5 [(1,2),(3,4),(5,11),(6,10),(7,12),(8,9)]=>4 [(1,2),(3,4),(5,11),(6,10),(7,9),(8,12)]=>3 [(1,2),(3,4),(5,11),(6,10),(7,8),(9,12)]=>4 [(1,2),(3,4),(5,11),(6,12),(7,10),(8,9)]=>5 [(1,2),(3,4),(5,11),(6,12),(7,9),(8,10)]=>4 [(1,2),(3,4),(5,11),(6,12),(7,8),(9,10)]=>5 [(1,2),(3,4),(5,12),(6,7),(8,10),(9,11)]=>5 [(1,2),(3,4),(5,12),(6,8),(7,11),(9,10)]=>5 [(1,2),(3,4),(5,12),(6,8),(7,10),(9,11)]=>4 [(1,2),(3,4),(5,12),(6,8),(7,9),(10,11)]=>5 [(1,2),(3,4),(5,12),(6,9),(7,11),(8,10)]=>4 [(1,2),(3,4),(5,12),(6,9),(7,10),(8,11)]=>4 [(1,2),(3,4),(5,12),(6,10),(7,11),(8,9)]=>5 [(1,2),(3,4),(5,12),(6,10),(7,9),(8,11)]=>4 [(1,2),(3,4),(5,12),(6,10),(7,8),(9,11)]=>5 [(1,2),(3,4),(5,12),(6,11),(7,9),(8,10)]=>5 [(1,2),(3,5),(4,6),(7,8),(9,12),(10,11)]=>5 [(1,2),(3,5),(4,6),(7,9),(8,12),(10,11)]=>4 [(1,2),(3,5),(4,6),(7,10),(8,9),(11,12)]=>5 [(1,2),(3,5),(4,6),(7,10),(8,12),(9,11)]=>3 [(1,2),(3,5),(4,6),(7,11),(8,9),(10,12)]=>4 [(1,2),(3,5),(4,6),(7,11),(8,10),(9,12)]=>3 [(1,2),(3,5),(4,6),(7,11),(8,12),(9,10)]=>4 [(1,2),(3,5),(4,6),(7,12),(8,9),(10,11)]=>5 [(1,2),(3,5),(4,6),(7,12),(8,10),(9,11)]=>4 [(1,2),(3,5),(4,6),(7,12),(8,11),(9,10)]=>5 [(1,2),(3,5),(4,7),(6,8),(9,12),(10,11)]=>4 [(1,2),(3,5),(4,7),(6,9),(8,12),(10,11)]=>3 [(1,2),(3,5),(4,7),(6,10),(8,9),(11,12)]=>4 [(1,2),(3,5),(4,7),(6,10),(8,12),(9,11)]=>2 [(1,2),(3,5),(4,7),(6,11),(8,9),(10,12)]=>3 [(1,2),(3,5),(4,7),(6,11),(8,10),(9,12)]=>2
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Description
The number of topologically connected components of a perfect matching.
For example, the perfect matching $\{\{1,4\},\{2,3\}\}$ has the two connected components $\{1,4\}$ and $\{2,3\}$.
The number of perfect matchings with only one block is oeis:A000699.
References
[1] Gil, J. B., McNamara, P. R. W., Tirrell, J. O., Weiner, M. D. From Dyck paths to standard Young tableaux arXiv:1708.00513
Code
def statistic(M):
    """The number of topologically connected components of the arc
    diagram of a perfect matching."""

    C = dict()
    for a, b in M:
        if a > b:
            a,b = b,a
        C[a] = frozenset([a,b])
        C[b] = C[a]

    for (i,j), (k,l) in M.crossings():
        if C[i] != C[k]:
            C[i] = C[i].union(C[k])
            for a in C[i]:
                C[a] = C[i]

    return len(set(c for c in C.values()))
Created
Aug 03, 2017 at 09:34 by Martin Rubey
Updated
Aug 03, 2017 at 15:08 by Martin Rubey