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Identifier
Values
=>
Cc0012;cc-rep
[(1,2)]=>1 [(1,2),(3,4)]=>1 [(1,3),(2,4)]=>2 [(1,4),(2,3)]=>1 [(1,2),(3,4),(5,6)]=>1 [(1,3),(2,4),(5,6)]=>2 [(1,4),(2,3),(5,6)]=>1 [(1,5),(2,3),(4,6)]=>2 [(1,6),(2,3),(4,5)]=>1 [(1,6),(2,4),(3,5)]=>2 [(1,5),(2,4),(3,6)]=>2 [(1,4),(2,5),(3,6)]=>3 [(1,3),(2,5),(4,6)]=>2 [(1,2),(3,5),(4,6)]=>2 [(1,2),(3,6),(4,5)]=>1 [(1,3),(2,6),(4,5)]=>2 [(1,4),(2,6),(3,5)]=>2 [(1,5),(2,6),(3,4)]=>2 [(1,6),(2,5),(3,4)]=>1 [(1,2),(3,4),(5,6),(7,8)]=>1 [(1,3),(2,4),(5,6),(7,8)]=>2 [(1,4),(2,3),(5,6),(7,8)]=>1 [(1,5),(2,3),(4,6),(7,8)]=>2 [(1,6),(2,3),(4,5),(7,8)]=>1 [(1,7),(2,3),(4,5),(6,8)]=>2 [(1,8),(2,3),(4,5),(6,7)]=>1 [(1,8),(2,4),(3,5),(6,7)]=>2 [(1,7),(2,4),(3,5),(6,8)]=>2 [(1,6),(2,4),(3,5),(7,8)]=>2 [(1,5),(2,4),(3,6),(7,8)]=>2 [(1,4),(2,5),(3,6),(7,8)]=>3 [(1,3),(2,5),(4,6),(7,8)]=>2 [(1,2),(3,5),(4,6),(7,8)]=>2 [(1,2),(3,6),(4,5),(7,8)]=>1 [(1,3),(2,6),(4,5),(7,8)]=>2 [(1,4),(2,6),(3,5),(7,8)]=>2 [(1,5),(2,6),(3,4),(7,8)]=>2 [(1,6),(2,5),(3,4),(7,8)]=>1 [(1,7),(2,5),(3,4),(6,8)]=>2 [(1,8),(2,5),(3,4),(6,7)]=>1 [(1,8),(2,6),(3,4),(5,7)]=>2 [(1,7),(2,6),(3,4),(5,8)]=>2 [(1,6),(2,7),(3,4),(5,8)]=>3 [(1,5),(2,7),(3,4),(6,8)]=>2 [(1,4),(2,7),(3,5),(6,8)]=>2 [(1,3),(2,7),(4,5),(6,8)]=>2 [(1,2),(3,7),(4,5),(6,8)]=>2 [(1,2),(3,8),(4,5),(6,7)]=>1 [(1,3),(2,8),(4,5),(6,7)]=>2 [(1,4),(2,8),(3,5),(6,7)]=>2 [(1,5),(2,8),(3,4),(6,7)]=>2 [(1,6),(2,8),(3,4),(5,7)]=>2 [(1,7),(2,8),(3,4),(5,6)]=>2 [(1,8),(2,7),(3,4),(5,6)]=>1 [(1,8),(2,7),(3,5),(4,6)]=>2 [(1,7),(2,8),(3,5),(4,6)]=>2 [(1,6),(2,8),(3,5),(4,7)]=>2 [(1,5),(2,8),(3,6),(4,7)]=>3 [(1,4),(2,8),(3,6),(5,7)]=>2 [(1,3),(2,8),(4,6),(5,7)]=>2 [(1,2),(3,8),(4,6),(5,7)]=>2 [(1,2),(3,7),(4,6),(5,8)]=>2 [(1,3),(2,7),(4,6),(5,8)]=>2 [(1,4),(2,7),(3,6),(5,8)]=>2 [(1,5),(2,7),(3,6),(4,8)]=>3 [(1,6),(2,7),(3,5),(4,8)]=>3 [(1,7),(2,6),(3,5),(4,8)]=>2 [(1,8),(2,6),(3,5),(4,7)]=>2 [(1,8),(2,5),(3,6),(4,7)]=>3 [(1,7),(2,5),(3,6),(4,8)]=>3 [(1,6),(2,5),(3,7),(4,8)]=>3 [(1,5),(2,6),(3,7),(4,8)]=>4 [(1,4),(2,6),(3,7),(5,8)]=>3 [(1,3),(2,6),(4,7),(5,8)]=>3 [(1,2),(3,6),(4,7),(5,8)]=>3 [(1,2),(3,5),(4,7),(6,8)]=>2 [(1,3),(2,5),(4,7),(6,8)]=>2 [(1,4),(2,5),(3,7),(6,8)]=>3 [(1,5),(2,4),(3,7),(6,8)]=>2 [(1,6),(2,4),(3,7),(5,8)]=>3 [(1,7),(2,4),(3,6),(5,8)]=>2 [(1,8),(2,4),(3,6),(5,7)]=>2 [(1,8),(2,3),(4,6),(5,7)]=>2 [(1,7),(2,3),(4,6),(5,8)]=>2 [(1,6),(2,3),(4,7),(5,8)]=>3 [(1,5),(2,3),(4,7),(6,8)]=>2 [(1,4),(2,3),(5,7),(6,8)]=>2 [(1,3),(2,4),(5,7),(6,8)]=>2 [(1,2),(3,4),(5,7),(6,8)]=>2 [(1,2),(3,4),(5,8),(6,7)]=>1 [(1,3),(2,4),(5,8),(6,7)]=>2 [(1,4),(2,3),(5,8),(6,7)]=>1 [(1,5),(2,3),(4,8),(6,7)]=>2 [(1,6),(2,3),(4,8),(5,7)]=>2 [(1,7),(2,3),(4,8),(5,6)]=>2 [(1,8),(2,3),(4,7),(5,6)]=>1 [(1,8),(2,4),(3,7),(5,6)]=>2 [(1,7),(2,4),(3,8),(5,6)]=>2 [(1,6),(2,4),(3,8),(5,7)]=>2 [(1,5),(2,4),(3,8),(6,7)]=>2 [(1,4),(2,5),(3,8),(6,7)]=>3 [(1,3),(2,5),(4,8),(6,7)]=>2 [(1,2),(3,5),(4,8),(6,7)]=>2 [(1,2),(3,6),(4,8),(5,7)]=>2 [(1,3),(2,6),(4,8),(5,7)]=>2 [(1,4),(2,6),(3,8),(5,7)]=>3 [(1,5),(2,6),(3,8),(4,7)]=>3 [(1,6),(2,5),(3,8),(4,7)]=>2 [(1,7),(2,5),(3,8),(4,6)]=>2 [(1,8),(2,5),(3,7),(4,6)]=>2 [(1,8),(2,6),(3,7),(4,5)]=>2 [(1,7),(2,6),(3,8),(4,5)]=>2 [(1,6),(2,7),(3,8),(4,5)]=>3 [(1,5),(2,7),(3,8),(4,6)]=>3 [(1,4),(2,7),(3,8),(5,6)]=>3 [(1,3),(2,7),(4,8),(5,6)]=>2 [(1,2),(3,7),(4,8),(5,6)]=>2 [(1,2),(3,8),(4,7),(5,6)]=>1 [(1,3),(2,8),(4,7),(5,6)]=>2 [(1,4),(2,8),(3,7),(5,6)]=>2 [(1,5),(2,8),(3,7),(4,6)]=>2 [(1,6),(2,8),(3,7),(4,5)]=>2 [(1,7),(2,8),(3,6),(4,5)]=>2 [(1,8),(2,7),(3,6),(4,5)]=>1 [(1,2),(3,4),(5,6),(7,8),(9,10)]=>1 [(1,3),(2,4),(5,6),(7,8),(9,10)]=>2 [(1,4),(2,3),(5,6),(7,8),(9,10)]=>1 [(1,5),(2,3),(4,6),(7,8),(9,10)]=>2 [(1,6),(2,3),(4,5),(7,8),(9,10)]=>1 [(1,7),(2,3),(4,5),(6,8),(9,10)]=>2 [(1,8),(2,3),(4,5),(6,7),(9,10)]=>1 [(1,9),(2,3),(4,5),(6,7),(8,10)]=>2 [(1,10),(2,3),(4,5),(6,7),(8,9)]=>1 [(1,10),(2,4),(3,5),(6,7),(8,9)]=>2 [(1,9),(2,4),(3,5),(6,7),(8,10)]=>2 [(1,8),(2,4),(3,5),(6,7),(9,10)]=>2 [(1,7),(2,4),(3,5),(6,8),(9,10)]=>2 [(1,6),(2,4),(3,5),(7,8),(9,10)]=>2 [(1,5),(2,4),(3,6),(7,8),(9,10)]=>2 [(1,4),(2,5),(3,6),(7,8),(9,10)]=>3 [(1,3),(2,5),(4,6),(7,8),(9,10)]=>2 [(1,2),(3,5),(4,6),(7,8),(9,10)]=>2 [(1,2),(3,6),(4,5),(7,8),(9,10)]=>1 [(1,3),(2,6),(4,5),(7,8),(9,10)]=>2 [(1,4),(2,6),(3,5),(7,8),(9,10)]=>2 [(1,5),(2,6),(3,4),(7,8),(9,10)]=>2 [(1,6),(2,5),(3,4),(7,8),(9,10)]=>1 [(1,7),(2,5),(3,4),(6,8),(9,10)]=>2 [(1,8),(2,5),(3,4),(6,7),(9,10)]=>1 [(1,9),(2,5),(3,4),(6,7),(8,10)]=>2 [(1,10),(2,5),(3,4),(6,7),(8,9)]=>1 [(1,10),(2,6),(3,4),(5,7),(8,9)]=>2 [(1,9),(2,6),(3,4),(5,7),(8,10)]=>2 [(1,8),(2,6),(3,4),(5,7),(9,10)]=>2 [(1,7),(2,6),(3,4),(5,8),(9,10)]=>2 [(1,6),(2,7),(3,4),(5,8),(9,10)]=>3 [(1,5),(2,7),(3,4),(6,8),(9,10)]=>2 [(1,4),(2,7),(3,5),(6,8),(9,10)]=>2 [(1,3),(2,7),(4,5),(6,8),(9,10)]=>2 [(1,2),(3,7),(4,5),(6,8),(9,10)]=>2 [(1,2),(3,8),(4,5),(6,7),(9,10)]=>1 [(1,3),(2,8),(4,5),(6,7),(9,10)]=>2 [(1,4),(2,8),(3,5),(6,7),(9,10)]=>2 [(1,5),(2,8),(3,4),(6,7),(9,10)]=>2 [(1,6),(2,8),(3,4),(5,7),(9,10)]=>2 [(1,7),(2,8),(3,4),(5,6),(9,10)]=>2 [(1,8),(2,7),(3,4),(5,6),(9,10)]=>1 [(1,9),(2,7),(3,4),(5,6),(8,10)]=>2 [(1,10),(2,7),(3,4),(5,6),(8,9)]=>1 [(1,10),(2,8),(3,4),(5,6),(7,9)]=>2 [(1,9),(2,8),(3,4),(5,6),(7,10)]=>2 [(1,8),(2,9),(3,4),(5,6),(7,10)]=>3 [(1,7),(2,9),(3,4),(5,6),(8,10)]=>2 [(1,6),(2,9),(3,4),(5,7),(8,10)]=>2 [(1,5),(2,9),(3,4),(6,7),(8,10)]=>2 [(1,4),(2,9),(3,5),(6,7),(8,10)]=>2 [(1,3),(2,9),(4,5),(6,7),(8,10)]=>2 [(1,2),(3,9),(4,5),(6,7),(8,10)]=>2 [(1,2),(3,10),(4,5),(6,7),(8,9)]=>1 [(1,3),(2,10),(4,5),(6,7),(8,9)]=>2 [(1,4),(2,10),(3,5),(6,7),(8,9)]=>2 [(1,5),(2,10),(3,4),(6,7),(8,9)]=>2 [(1,6),(2,10),(3,4),(5,7),(8,9)]=>2 [(1,7),(2,10),(3,4),(5,6),(8,9)]=>2 [(1,8),(2,10),(3,4),(5,6),(7,9)]=>2 [(1,9),(2,10),(3,4),(5,6),(7,8)]=>2 [(1,10),(2,9),(3,4),(5,6),(7,8)]=>1 [(1,10),(2,9),(3,5),(4,6),(7,8)]=>2 [(1,9),(2,10),(3,5),(4,6),(7,8)]=>2 [(1,8),(2,10),(3,5),(4,6),(7,9)]=>2 [(1,7),(2,10),(3,5),(4,6),(8,9)]=>2 [(1,6),(2,10),(3,5),(4,7),(8,9)]=>2 [(1,5),(2,10),(3,6),(4,7),(8,9)]=>3 [(1,4),(2,10),(3,6),(5,7),(8,9)]=>2 [(1,3),(2,10),(4,6),(5,7),(8,9)]=>2 [(1,2),(3,10),(4,6),(5,7),(8,9)]=>2 [(1,2),(3,9),(4,6),(5,7),(8,10)]=>2 [(1,3),(2,9),(4,6),(5,7),(8,10)]=>2 [(1,4),(2,9),(3,6),(5,7),(8,10)]=>2 [(1,5),(2,9),(3,6),(4,7),(8,10)]=>3 [(1,6),(2,9),(3,5),(4,7),(8,10)]=>2 [(1,7),(2,9),(3,5),(4,6),(8,10)]=>2 [(1,8),(2,9),(3,5),(4,6),(7,10)]=>3 [(1,9),(2,8),(3,5),(4,6),(7,10)]=>2 [(1,10),(2,8),(3,5),(4,6),(7,9)]=>2 [(1,10),(2,7),(3,5),(4,6),(8,9)]=>2 [(1,9),(2,7),(3,5),(4,6),(8,10)]=>2 [(1,8),(2,7),(3,5),(4,6),(9,10)]=>2 [(1,7),(2,8),(3,5),(4,6),(9,10)]=>2 [(1,6),(2,8),(3,5),(4,7),(9,10)]=>2 [(1,5),(2,8),(3,6),(4,7),(9,10)]=>3 [(1,4),(2,8),(3,6),(5,7),(9,10)]=>2 [(1,3),(2,8),(4,6),(5,7),(9,10)]=>2 [(1,2),(3,8),(4,6),(5,7),(9,10)]=>2 [(1,2),(3,7),(4,6),(5,8),(9,10)]=>2 [(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)]=>3 [(1,6),(2,7),(3,5),(4,8),(9,10)]=>3 [(1,7),(2,6),(3,5),(4,8),(9,10)]=>2 [(1,8),(2,6),(3,5),(4,7),(9,10)]=>2 [(1,9),(2,6),(3,5),(4,7),(8,10)]=>2 [(1,10),(2,6),(3,5),(4,7),(8,9)]=>2 [(1,10),(2,5),(3,6),(4,7),(8,9)]=>3 [(1,9),(2,5),(3,6),(4,7),(8,10)]=>3 [(1,8),(2,5),(3,6),(4,7),(9,10)]=>3 [(1,7),(2,5),(3,6),(4,8),(9,10)]=>3 [(1,6),(2,5),(3,7),(4,8),(9,10)]=>3 [(1,5),(2,6),(3,7),(4,8),(9,10)]=>4 [(1,4),(2,6),(3,7),(5,8),(9,10)]=>3 [(1,3),(2,6),(4,7),(5,8),(9,10)]=>3 [(1,2),(3,6),(4,7),(5,8),(9,10)]=>3 [(1,2),(3,5),(4,7),(6,8),(9,10)]=>2 [(1,3),(2,5),(4,7),(6,8),(9,10)]=>2 [(1,4),(2,5),(3,7),(6,8),(9,10)]=>3 [(1,5),(2,4),(3,7),(6,8),(9,10)]=>2 [(1,6),(2,4),(3,7),(5,8),(9,10)]=>3 [(1,7),(2,4),(3,6),(5,8),(9,10)]=>2 [(1,8),(2,4),(3,6),(5,7),(9,10)]=>2 [(1,9),(2,4),(3,6),(5,7),(8,10)]=>2 [(1,10),(2,4),(3,6),(5,7),(8,9)]=>2 [(1,10),(2,3),(4,6),(5,7),(8,9)]=>2 [(1,9),(2,3),(4,6),(5,7),(8,10)]=>2 [(1,8),(2,3),(4,6),(5,7),(9,10)]=>2 [(1,7),(2,3),(4,6),(5,8),(9,10)]=>2 [(1,6),(2,3),(4,7),(5,8),(9,10)]=>3 [(1,5),(2,3),(4,7),(6,8),(9,10)]=>2 [(1,4),(2,3),(5,7),(6,8),(9,10)]=>2 [(1,3),(2,4),(5,7),(6,8),(9,10)]=>2 [(1,2),(3,4),(5,7),(6,8),(9,10)]=>2 [(1,2),(3,4),(5,8),(6,7),(9,10)]=>1 [(1,3),(2,4),(5,8),(6,7),(9,10)]=>2 [(1,4),(2,3),(5,8),(6,7),(9,10)]=>1 [(1,5),(2,3),(4,8),(6,7),(9,10)]=>2 [(1,6),(2,3),(4,8),(5,7),(9,10)]=>2 [(1,7),(2,3),(4,8),(5,6),(9,10)]=>2 [(1,8),(2,3),(4,7),(5,6),(9,10)]=>1 [(1,9),(2,3),(4,7),(5,6),(8,10)]=>2 [(1,10),(2,3),(4,7),(5,6),(8,9)]=>1 [(1,10),(2,4),(3,7),(5,6),(8,9)]=>2 [(1,9),(2,4),(3,7),(5,6),(8,10)]=>2 [(1,8),(2,4),(3,7),(5,6),(9,10)]=>2 [(1,7),(2,4),(3,8),(5,6),(9,10)]=>2 [(1,6),(2,4),(3,8),(5,7),(9,10)]=>2 [(1,5),(2,4),(3,8),(6,7),(9,10)]=>2 [(1,4),(2,5),(3,8),(6,7),(9,10)]=>3 [(1,3),(2,5),(4,8),(6,7),(9,10)]=>2 [(1,2),(3,5),(4,8),(6,7),(9,10)]=>2 [(1,2),(3,6),(4,8),(5,7),(9,10)]=>2 [(1,3),(2,6),(4,8),(5,7),(9,10)]=>2 [(1,4),(2,6),(3,8),(5,7),(9,10)]=>3 [(1,5),(2,6),(3,8),(4,7),(9,10)]=>3 [(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)]=>2 [(1,9),(2,5),(3,7),(4,6),(8,10)]=>2 [(1,10),(2,5),(3,7),(4,6),(8,9)]=>2 [(1,10),(2,6),(3,7),(4,5),(8,9)]=>2 [(1,9),(2,6),(3,7),(4,5),(8,10)]=>2 [(1,8),(2,6),(3,7),(4,5),(9,10)]=>2 [(1,7),(2,6),(3,8),(4,5),(9,10)]=>2 [(1,6),(2,7),(3,8),(4,5),(9,10)]=>3 [(1,5),(2,7),(3,8),(4,6),(9,10)]=>3 [(1,4),(2,7),(3,8),(5,6),(9,10)]=>3 [(1,3),(2,7),(4,8),(5,6),(9,10)]=>2 [(1,2),(3,7),(4,8),(5,6),(9,10)]=>2 [(1,2),(3,8),(4,7),(5,6),(9,10)]=>1 [(1,3),(2,8),(4,7),(5,6),(9,10)]=>2 [(1,4),(2,8),(3,7),(5,6),(9,10)]=>2 [(1,5),(2,8),(3,7),(4,6),(9,10)]=>2 [(1,6),(2,8),(3,7),(4,5),(9,10)]=>2 [(1,7),(2,8),(3,6),(4,5),(9,10)]=>2 [(1,8),(2,7),(3,6),(4,5),(9,10)]=>1 [(1,9),(2,7),(3,6),(4,5),(8,10)]=>2 [(1,10),(2,7),(3,6),(4,5),(8,9)]=>1 [(1,10),(2,8),(3,6),(4,5),(7,9)]=>2 [(1,9),(2,8),(3,6),(4,5),(7,10)]=>2 [(1,8),(2,9),(3,6),(4,5),(7,10)]=>3 [(1,7),(2,9),(3,6),(4,5),(8,10)]=>2 [(1,6),(2,9),(3,7),(4,5),(8,10)]=>2 [(1,5),(2,9),(3,7),(4,6),(8,10)]=>2 [(1,4),(2,9),(3,7),(5,6),(8,10)]=>2 [(1,3),(2,9),(4,7),(5,6),(8,10)]=>2 [(1,2),(3,9),(4,7),(5,6),(8,10)]=>2 [(1,2),(3,10),(4,7),(5,6),(8,9)]=>1 [(1,3),(2,10),(4,7),(5,6),(8,9)]=>2 [(1,4),(2,10),(3,7),(5,6),(8,9)]=>2 [(1,5),(2,10),(3,7),(4,6),(8,9)]=>2 [(1,6),(2,10),(3,7),(4,5),(8,9)]=>2 [(1,7),(2,10),(3,6),(4,5),(8,9)]=>2 [(1,8),(2,10),(3,6),(4,5),(7,9)]=>2 [(1,9),(2,10),(3,6),(4,5),(7,8)]=>2 [(1,10),(2,9),(3,6),(4,5),(7,8)]=>1 [(1,10),(2,9),(3,7),(4,5),(6,8)]=>2 [(1,9),(2,10),(3,7),(4,5),(6,8)]=>2 [(1,8),(2,10),(3,7),(4,5),(6,9)]=>2 [(1,7),(2,10),(3,8),(4,5),(6,9)]=>3 [(1,6),(2,10),(3,8),(4,5),(7,9)]=>2 [(1,5),(2,10),(3,8),(4,6),(7,9)]=>2 [(1,4),(2,10),(3,8),(5,6),(7,9)]=>2 [(1,3),(2,10),(4,8),(5,6),(7,9)]=>2 [(1,2),(3,10),(4,8),(5,6),(7,9)]=>2 [(1,2),(3,9),(4,8),(5,6),(7,10)]=>2 [(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)]=>2 [(1,6),(2,9),(3,8),(4,5),(7,10)]=>2 [(1,7),(2,9),(3,8),(4,5),(6,10)]=>3 [(1,8),(2,9),(3,7),(4,5),(6,10)]=>3 [(1,9),(2,8),(3,7),(4,5),(6,10)]=>2 [(1,10),(2,8),(3,7),(4,5),(6,9)]=>2 [(1,10),(2,7),(3,8),(4,5),(6,9)]=>3 [(1,9),(2,7),(3,8),(4,5),(6,10)]=>3 [(1,8),(2,7),(3,9),(4,5),(6,10)]=>3 [(1,7),(2,8),(3,9),(4,5),(6,10)]=>4 [(1,6),(2,8),(3,9),(4,5),(7,10)]=>3 [(1,5),(2,8),(3,9),(4,6),(7,10)]=>3 [(1,4),(2,8),(3,9),(5,6),(7,10)]=>3 [(1,3),(2,8),(4,9),(5,6),(7,10)]=>3 [(1,2),(3,8),(4,9),(5,6),(7,10)]=>3 [(1,2),(3,7),(4,9),(5,6),(8,10)]=>2 [(1,3),(2,7),(4,9),(5,6),(8,10)]=>2 [(1,4),(2,7),(3,9),(5,6),(8,10)]=>3 [(1,5),(2,7),(3,9),(4,6),(8,10)]=>3 [(1,6),(2,7),(3,9),(4,5),(8,10)]=>3 [(1,7),(2,6),(3,9),(4,5),(8,10)]=>2 [(1,8),(2,6),(3,9),(4,5),(7,10)]=>3 [(1,9),(2,6),(3,8),(4,5),(7,10)]=>2 [(1,10),(2,6),(3,8),(4,5),(7,9)]=>2 [(1,10),(2,5),(3,8),(4,6),(7,9)]=>2 [(1,9),(2,5),(3,8),(4,6),(7,10)]=>2 [(1,8),(2,5),(3,9),(4,6),(7,10)]=>3 [(1,7),(2,5),(3,9),(4,6),(8,10)]=>2 [(1,6),(2,5),(3,9),(4,7),(8,10)]=>2 [(1,5),(2,6),(3,9),(4,7),(8,10)]=>3 [(1,4),(2,6),(3,9),(5,7),(8,10)]=>3 [(1,3),(2,6),(4,9),(5,7),(8,10)]=>2 [(1,2),(3,6),(4,9),(5,7),(8,10)]=>2 [(1,2),(3,5),(4,9),(6,7),(8,10)]=>2 [(1,3),(2,5),(4,9),(6,7),(8,10)]=>2 [(1,4),(2,5),(3,9),(6,7),(8,10)]=>3 [(1,5),(2,4),(3,9),(6,7),(8,10)]=>2 [(1,6),(2,4),(3,9),(5,7),(8,10)]=>2 [(1,7),(2,4),(3,9),(5,6),(8,10)]=>2 [(1,8),(2,4),(3,9),(5,6),(7,10)]=>3 [(1,9),(2,4),(3,8),(5,6),(7,10)]=>2 [(1,10),(2,4),(3,8),(5,6),(7,9)]=>2 [(1,10),(2,3),(4,8),(5,6),(7,9)]=>2 [(1,9),(2,3),(4,8),(5,6),(7,10)]=>2 [(1,8),(2,3),(4,9),(5,6),(7,10)]=>3 [(1,7),(2,3),(4,9),(5,6),(8,10)]=>2 [(1,6),(2,3),(4,9),(5,7),(8,10)]=>2 [(1,5),(2,3),(4,9),(6,7),(8,10)]=>2 [(1,4),(2,3),(5,9),(6,7),(8,10)]=>2 [(1,3),(2,4),(5,9),(6,7),(8,10)]=>2 [(1,2),(3,4),(5,9),(6,7),(8,10)]=>2 [(1,2),(3,4),(5,10),(6,7),(8,9)]=>1 [(1,3),(2,4),(5,10),(6,7),(8,9)]=>2 [(1,4),(2,3),(5,10),(6,7),(8,9)]=>1 [(1,5),(2,3),(4,10),(6,7),(8,9)]=>2 [(1,6),(2,3),(4,10),(5,7),(8,9)]=>2 [(1,7),(2,3),(4,10),(5,6),(8,9)]=>2 [(1,8),(2,3),(4,10),(5,6),(7,9)]=>2 [(1,9),(2,3),(4,10),(5,6),(7,8)]=>2 [(1,10),(2,3),(4,9),(5,6),(7,8)]=>1 [(1,10),(2,4),(3,9),(5,6),(7,8)]=>2 [(1,9),(2,4),(3,10),(5,6),(7,8)]=>2 [(1,8),(2,4),(3,10),(5,6),(7,9)]=>2 [(1,7),(2,4),(3,10),(5,6),(8,9)]=>2 [(1,6),(2,4),(3,10),(5,7),(8,9)]=>2 [(1,5),(2,4),(3,10),(6,7),(8,9)]=>2 [(1,4),(2,5),(3,10),(6,7),(8,9)]=>3 [(1,3),(2,5),(4,10),(6,7),(8,9)]=>2 [(1,2),(3,5),(4,10),(6,7),(8,9)]=>2 [(1,2),(3,6),(4,10),(5,7),(8,9)]=>2 [(1,3),(2,6),(4,10),(5,7),(8,9)]=>2 [(1,4),(2,6),(3,10),(5,7),(8,9)]=>3 [(1,5),(2,6),(3,10),(4,7),(8,9)]=>3 [(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)]=>2 [(1,9),(2,5),(3,10),(4,6),(7,8)]=>2 [(1,10),(2,5),(3,9),(4,6),(7,8)]=>2 [(1,10),(2,6),(3,9),(4,5),(7,8)]=>2 [(1,9),(2,6),(3,10),(4,5),(7,8)]=>2 [(1,8),(2,6),(3,10),(4,5),(7,9)]=>2 [(1,7),(2,6),(3,10),(4,5),(8,9)]=>2 [(1,6),(2,7),(3,10),(4,5),(8,9)]=>3 [(1,5),(2,7),(3,10),(4,6),(8,9)]=>3 [(1,4),(2,7),(3,10),(5,6),(8,9)]=>3 [(1,3),(2,7),(4,10),(5,6),(8,9)]=>2 [(1,2),(3,7),(4,10),(5,6),(8,9)]=>2 [(1,2),(3,8),(4,10),(5,6),(7,9)]=>2 [(1,3),(2,8),(4,10),(5,6),(7,9)]=>2 [(1,4),(2,8),(3,10),(5,6),(7,9)]=>3 [(1,5),(2,8),(3,10),(4,6),(7,9)]=>3 [(1,6),(2,8),(3,10),(4,5),(7,9)]=>3 [(1,7),(2,8),(3,10),(4,5),(6,9)]=>3 [(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)]=>2 [(1,10),(2,8),(3,9),(4,5),(6,7)]=>2 [(1,9),(2,8),(3,10),(4,5),(6,7)]=>2 [(1,8),(2,9),(3,10),(4,5),(6,7)]=>3 [(1,7),(2,9),(3,10),(4,5),(6,8)]=>3 [(1,6),(2,9),(3,10),(4,5),(7,8)]=>3 [(1,5),(2,9),(3,10),(4,6),(7,8)]=>3 [(1,4),(2,9),(3,10),(5,6),(7,8)]=>3 [(1,3),(2,9),(4,10),(5,6),(7,8)]=>2 [(1,2),(3,9),(4,10),(5,6),(7,8)]=>2 [(1,2),(3,10),(4,9),(5,6),(7,8)]=>1 [(1,3),(2,10),(4,9),(5,6),(7,8)]=>2 [(1,4),(2,10),(3,9),(5,6),(7,8)]=>2 [(1,5),(2,10),(3,9),(4,6),(7,8)]=>2 [(1,6),(2,10),(3,9),(4,5),(7,8)]=>2 [(1,7),(2,10),(3,9),(4,5),(6,8)]=>2 [(1,8),(2,10),(3,9),(4,5),(6,7)]=>2 [(1,9),(2,10),(3,8),(4,5),(6,7)]=>2 [(1,10),(2,9),(3,8),(4,5),(6,7)]=>1 [(1,10),(2,9),(3,8),(4,6),(5,7)]=>2 [(1,9),(2,10),(3,8),(4,6),(5,7)]=>2 [(1,8),(2,10),(3,9),(4,6),(5,7)]=>2 [(1,7),(2,10),(3,9),(4,6),(5,8)]=>2 [(1,6),(2,10),(3,9),(4,7),(5,8)]=>3 [(1,5),(2,10),(3,9),(4,7),(6,8)]=>2 [(1,4),(2,10),(3,9),(5,7),(6,8)]=>2 [(1,3),(2,10),(4,9),(5,7),(6,8)]=>2 [(1,2),(3,10),(4,9),(5,7),(6,8)]=>2 [(1,2),(3,9),(4,10),(5,7),(6,8)]=>2 [(1,3),(2,9),(4,10),(5,7),(6,8)]=>2 [(1,4),(2,9),(3,10),(5,7),(6,8)]=>3 [(1,5),(2,9),(3,10),(4,7),(6,8)]=>3 [(1,6),(2,9),(3,10),(4,7),(5,8)]=>3 [(1,7),(2,9),(3,10),(4,6),(5,8)]=>3 [(1,8),(2,9),(3,10),(4,6),(5,7)]=>3 [(1,9),(2,8),(3,10),(4,6),(5,7)]=>2 [(1,10),(2,8),(3,9),(4,6),(5,7)]=>2 [(1,10),(2,7),(3,9),(4,6),(5,8)]=>2 [(1,9),(2,7),(3,10),(4,6),(5,8)]=>2 [(1,8),(2,7),(3,10),(4,6),(5,9)]=>2 [(1,7),(2,8),(3,10),(4,6),(5,9)]=>3 [(1,6),(2,8),(3,10),(4,7),(5,9)]=>3 [(1,5),(2,8),(3,10),(4,7),(6,9)]=>3 [(1,4),(2,8),(3,10),(5,7),(6,9)]=>3 [(1,3),(2,8),(4,10),(5,7),(6,9)]=>2 [(1,2),(3,8),(4,10),(5,7),(6,9)]=>2 [(1,2),(3,7),(4,10),(5,8),(6,9)]=>3 [(1,3),(2,7),(4,10),(5,8),(6,9)]=>3 [(1,4),(2,7),(3,10),(5,8),(6,9)]=>3 [(1,5),(2,7),(3,10),(4,8),(6,9)]=>3 [(1,6),(2,7),(3,10),(4,8),(5,9)]=>4 [(1,7),(2,6),(3,10),(4,8),(5,9)]=>3 [(1,8),(2,6),(3,10),(4,7),(5,9)]=>3 [(1,9),(2,6),(3,10),(4,7),(5,8)]=>3 [(1,10),(2,6),(3,9),(4,7),(5,8)]=>3 [(1,10),(2,5),(3,9),(4,7),(6,8)]=>2 [(1,9),(2,5),(3,10),(4,7),(6,8)]=>2 [(1,8),(2,5),(3,10),(4,7),(6,9)]=>2 [(1,7),(2,5),(3,10),(4,8),(6,9)]=>3 [(1,6),(2,5),(3,10),(4,8),(7,9)]=>2 [(1,5),(2,6),(3,10),(4,8),(7,9)]=>3 [(1,4),(2,6),(3,10),(5,8),(7,9)]=>3 [(1,3),(2,6),(4,10),(5,8),(7,9)]=>2 [(1,2),(3,6),(4,10),(5,8),(7,9)]=>2 [(1,2),(3,5),(4,10),(6,8),(7,9)]=>2 [(1,3),(2,5),(4,10),(6,8),(7,9)]=>2 [(1,4),(2,5),(3,10),(6,8),(7,9)]=>3 [(1,5),(2,4),(3,10),(6,8),(7,9)]=>2 [(1,6),(2,4),(3,10),(5,8),(7,9)]=>2 [(1,7),(2,4),(3,10),(5,8),(6,9)]=>3 [(1,8),(2,4),(3,10),(5,7),(6,9)]=>2 [(1,9),(2,4),(3,10),(5,7),(6,8)]=>2 [(1,10),(2,4),(3,9),(5,7),(6,8)]=>2 [(1,10),(2,3),(4,9),(5,7),(6,8)]=>2 [(1,9),(2,3),(4,10),(5,7),(6,8)]=>2 [(1,8),(2,3),(4,10),(5,7),(6,9)]=>2 [(1,7),(2,3),(4,10),(5,8),(6,9)]=>3 [(1,6),(2,3),(4,10),(5,8),(7,9)]=>2 [(1,5),(2,3),(4,10),(6,8),(7,9)]=>2 [(1,4),(2,3),(5,10),(6,8),(7,9)]=>2 [(1,3),(2,4),(5,10),(6,8),(7,9)]=>2 [(1,2),(3,4),(5,10),(6,8),(7,9)]=>2 [(1,2),(3,4),(5,9),(6,8),(7,10)]=>2 [(1,3),(2,4),(5,9),(6,8),(7,10)]=>2 [(1,4),(2,3),(5,9),(6,8),(7,10)]=>2 [(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)]=>3 [(1,8),(2,3),(4,9),(5,7),(6,10)]=>3 [(1,9),(2,3),(4,8),(5,7),(6,10)]=>2 [(1,10),(2,3),(4,8),(5,7),(6,9)]=>2 [(1,10),(2,4),(3,8),(5,7),(6,9)]=>2 [(1,9),(2,4),(3,8),(5,7),(6,10)]=>2 [(1,8),(2,4),(3,9),(5,7),(6,10)]=>3 [(1,7),(2,4),(3,9),(5,8),(6,10)]=>3 [(1,6),(2,4),(3,9),(5,8),(7,10)]=>2 [(1,5),(2,4),(3,9),(6,8),(7,10)]=>2 [(1,4),(2,5),(3,9),(6,8),(7,10)]=>3 [(1,3),(2,5),(4,9),(6,8),(7,10)]=>2 [(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)]=>2 [(1,4),(2,6),(3,9),(5,8),(7,10)]=>3 [(1,5),(2,6),(3,9),(4,8),(7,10)]=>3 [(1,6),(2,5),(3,9),(4,8),(7,10)]=>2 [(1,7),(2,5),(3,9),(4,8),(6,10)]=>3 [(1,8),(2,5),(3,9),(4,7),(6,10)]=>3 [(1,9),(2,5),(3,8),(4,7),(6,10)]=>2 [(1,10),(2,5),(3,8),(4,7),(6,9)]=>2 [(1,10),(2,6),(3,8),(4,7),(5,9)]=>3 [(1,9),(2,6),(3,8),(4,7),(5,10)]=>3 [(1,8),(2,6),(3,9),(4,7),(5,10)]=>3 [(1,7),(2,6),(3,9),(4,8),(5,10)]=>3 [(1,6),(2,7),(3,9),(4,8),(5,10)]=>4 [(1,5),(2,7),(3,9),(4,8),(6,10)]=>3 [(1,4),(2,7),(3,9),(5,8),(6,10)]=>3 [(1,3),(2,7),(4,9),(5,8),(6,10)]=>3 [(1,2),(3,7),(4,9),(5,8),(6,10)]=>3 [(1,2),(3,8),(4,9),(5,7),(6,10)]=>3 [(1,3),(2,8),(4,9),(5,7),(6,10)]=>3 [(1,4),(2,8),(3,9),(5,7),(6,10)]=>3 [(1,5),(2,8),(3,9),(4,7),(6,10)]=>3 [(1,6),(2,8),(3,9),(4,7),(5,10)]=>4 [(1,7),(2,8),(3,9),(4,6),(5,10)]=>4 [(1,8),(2,7),(3,9),(4,6),(5,10)]=>3 [(1,9),(2,7),(3,8),(4,6),(5,10)]=>3 [(1,10),(2,7),(3,8),(4,6),(5,9)]=>3 [(1,10),(2,8),(3,7),(4,6),(5,9)]=>2 [(1,9),(2,8),(3,7),(4,6),(5,10)]=>2 [(1,8),(2,9),(3,7),(4,6),(5,10)]=>3 [(1,7),(2,9),(3,8),(4,6),(5,10)]=>3 [(1,6),(2,9),(3,8),(4,7),(5,10)]=>3 [(1,5),(2,9),(3,8),(4,7),(6,10)]=>2 [(1,4),(2,9),(3,8),(5,7),(6,10)]=>2 [(1,3),(2,9),(4,8),(5,7),(6,10)]=>2 [(1,2),(3,9),(4,8),(5,7),(6,10)]=>2 [(1,2),(3,10),(4,8),(5,7),(6,9)]=>2 [(1,3),(2,10),(4,8),(5,7),(6,9)]=>2 [(1,4),(2,10),(3,8),(5,7),(6,9)]=>2 [(1,5),(2,10),(3,8),(4,7),(6,9)]=>2 [(1,6),(2,10),(3,8),(4,7),(5,9)]=>3 [(1,7),(2,10),(3,8),(4,6),(5,9)]=>3 [(1,8),(2,10),(3,7),(4,6),(5,9)]=>2 [(1,9),(2,10),(3,7),(4,6),(5,8)]=>2 [(1,10),(2,9),(3,7),(4,6),(5,8)]=>2 [(1,10),(2,9),(3,6),(4,7),(5,8)]=>3 [(1,9),(2,10),(3,6),(4,7),(5,8)]=>3 [(1,8),(2,10),(3,6),(4,7),(5,9)]=>3 [(1,7),(2,10),(3,6),(4,8),(5,9)]=>3 [(1,6),(2,10),(3,7),(4,8),(5,9)]=>4 [(1,5),(2,10),(3,7),(4,8),(6,9)]=>3 [(1,4),(2,10),(3,7),(5,8),(6,9)]=>3 [(1,3),(2,10),(4,7),(5,8),(6,9)]=>3 [(1,2),(3,10),(4,7),(5,8),(6,9)]=>3 [(1,2),(3,9),(4,7),(5,8),(6,10)]=>3 [(1,3),(2,9),(4,7),(5,8),(6,10)]=>3 [(1,4),(2,9),(3,7),(5,8),(6,10)]=>3 [(1,5),(2,9),(3,7),(4,8),(6,10)]=>3 [(1,6),(2,9),(3,7),(4,8),(5,10)]=>4 [(1,7),(2,9),(3,6),(4,8),(5,10)]=>3 [(1,8),(2,9),(3,6),(4,7),(5,10)]=>3 [(1,9),(2,8),(3,6),(4,7),(5,10)]=>3 [(1,10),(2,8),(3,6),(4,7),(5,9)]=>3 [(1,10),(2,7),(3,6),(4,8),(5,9)]=>3 [(1,9),(2,7),(3,6),(4,8),(5,10)]=>3 [(1,8),(2,7),(3,6),(4,9),(5,10)]=>3 [(1,7),(2,8),(3,6),(4,9),(5,10)]=>4 [(1,6),(2,8),(3,7),(4,9),(5,10)]=>4 [(1,5),(2,8),(3,7),(4,9),(6,10)]=>3 [(1,4),(2,8),(3,7),(5,9),(6,10)]=>3 [(1,3),(2,8),(4,7),(5,9),(6,10)]=>3 [(1,2),(3,8),(4,7),(5,9),(6,10)]=>3 [(1,2),(3,7),(4,8),(5,9),(6,10)]=>4 [(1,3),(2,7),(4,8),(5,9),(6,10)]=>4 [(1,4),(2,7),(3,8),(5,9),(6,10)]=>4 [(1,5),(2,7),(3,8),(4,9),(6,10)]=>4 [(1,6),(2,7),(3,8),(4,9),(5,10)]=>5 [(1,7),(2,6),(3,8),(4,9),(5,10)]=>4 [(1,8),(2,6),(3,7),(4,9),(5,10)]=>4 [(1,9),(2,6),(3,7),(4,8),(5,10)]=>4 [(1,10),(2,6),(3,7),(4,8),(5,9)]=>4 [(1,10),(2,5),(3,7),(4,8),(6,9)]=>3 [(1,9),(2,5),(3,7),(4,8),(6,10)]=>3 [(1,8),(2,5),(3,7),(4,9),(6,10)]=>3 [(1,7),(2,5),(3,8),(4,9),(6,10)]=>4 [(1,6),(2,5),(3,8),(4,9),(7,10)]=>3 [(1,5),(2,6),(3,8),(4,9),(7,10)]=>4 [(1,4),(2,6),(3,8),(5,9),(7,10)]=>3 [(1,3),(2,6),(4,8),(5,9),(7,10)]=>3 [(1,2),(3,6),(4,8),(5,9),(7,10)]=>3 [(1,2),(3,5),(4,8),(6,9),(7,10)]=>3 [(1,3),(2,5),(4,8),(6,9),(7,10)]=>3 [(1,4),(2,5),(3,8),(6,9),(7,10)]=>3 [(1,5),(2,4),(3,8),(6,9),(7,10)]=>3 [(1,6),(2,4),(3,8),(5,9),(7,10)]=>3 [(1,7),(2,4),(3,8),(5,9),(6,10)]=>4 [(1,8),(2,4),(3,7),(5,9),(6,10)]=>3 [(1,9),(2,4),(3,7),(5,8),(6,10)]=>3 [(1,10),(2,4),(3,7),(5,8),(6,9)]=>3 [(1,10),(2,3),(4,7),(5,8),(6,9)]=>3 [(1,9),(2,3),(4,7),(5,8),(6,10)]=>3 [(1,8),(2,3),(4,7),(5,9),(6,10)]=>3 [(1,7),(2,3),(4,8),(5,9),(6,10)]=>4 [(1,6),(2,3),(4,8),(5,9),(7,10)]=>3 [(1,5),(2,3),(4,8),(6,9),(7,10)]=>3 [(1,4),(2,3),(5,8),(6,9),(7,10)]=>3 [(1,3),(2,4),(5,8),(6,9),(7,10)]=>3 [(1,2),(3,4),(5,8),(6,9),(7,10)]=>3 [(1,2),(3,4),(5,7),(6,9),(8,10)]=>2 [(1,3),(2,4),(5,7),(6,9),(8,10)]=>2 [(1,4),(2,3),(5,7),(6,9),(8,10)]=>2 [(1,5),(2,3),(4,7),(6,9),(8,10)]=>2 [(1,6),(2,3),(4,7),(5,9),(8,10)]=>3 [(1,7),(2,3),(4,6),(5,9),(8,10)]=>2 [(1,8),(2,3),(4,6),(5,9),(7,10)]=>3 [(1,9),(2,3),(4,6),(5,8),(7,10)]=>2 [(1,10),(2,3),(4,6),(5,8),(7,9)]=>2 [(1,10),(2,4),(3,6),(5,8),(7,9)]=>2 [(1,9),(2,4),(3,6),(5,8),(7,10)]=>2 [(1,8),(2,4),(3,6),(5,9),(7,10)]=>3 [(1,7),(2,4),(3,6),(5,9),(8,10)]=>2 [(1,6),(2,4),(3,7),(5,9),(8,10)]=>3 [(1,5),(2,4),(3,7),(6,9),(8,10)]=>2 [(1,4),(2,5),(3,7),(6,9),(8,10)]=>3 [(1,3),(2,5),(4,7),(6,9),(8,10)]=>2 [(1,2),(3,5),(4,7),(6,9),(8,10)]=>2 [(1,2),(3,6),(4,7),(5,9),(8,10)]=>3 [(1,3),(2,6),(4,7),(5,9),(8,10)]=>3 [(1,4),(2,6),(3,7),(5,9),(8,10)]=>3 [(1,5),(2,6),(3,7),(4,9),(8,10)]=>4 [(1,6),(2,5),(3,7),(4,9),(8,10)]=>3 [(1,7),(2,5),(3,6),(4,9),(8,10)]=>3 [(1,8),(2,5),(3,6),(4,9),(7,10)]=>3 [(1,9),(2,5),(3,6),(4,8),(7,10)]=>3 [(1,10),(2,5),(3,6),(4,8),(7,9)]=>3 [(1,10),(2,6),(3,5),(4,8),(7,9)]=>2 [(1,9),(2,6),(3,5),(4,8),(7,10)]=>2 [(1,8),(2,6),(3,5),(4,9),(7,10)]=>3 [(1,7),(2,6),(3,5),(4,9),(8,10)]=>2 [(1,6),(2,7),(3,5),(4,9),(8,10)]=>3 [(1,5),(2,7),(3,6),(4,9),(8,10)]=>3 [(1,4),(2,7),(3,6),(5,9),(8,10)]=>2 [(1,3),(2,7),(4,6),(5,9),(8,10)]=>2 [(1,2),(3,7),(4,6),(5,9),(8,10)]=>2 [(1,2),(3,8),(4,6),(5,9),(7,10)]=>3 [(1,3),(2,8),(4,6),(5,9),(7,10)]=>3 [(1,4),(2,8),(3,6),(5,9),(7,10)]=>3 [(1,5),(2,8),(3,6),(4,9),(7,10)]=>3 [(1,6),(2,8),(3,5),(4,9),(7,10)]=>3 [(1,7),(2,8),(3,5),(4,9),(6,10)]=>4 [(1,8),(2,7),(3,5),(4,9),(6,10)]=>3 [(1,9),(2,7),(3,5),(4,8),(6,10)]=>3 [(1,10),(2,7),(3,5),(4,8),(6,9)]=>3 [(1,10),(2,8),(3,5),(4,7),(6,9)]=>2 [(1,9),(2,8),(3,5),(4,7),(6,10)]=>2 [(1,8),(2,9),(3,5),(4,7),(6,10)]=>3 [(1,7),(2,9),(3,5),(4,8),(6,10)]=>3 [(1,6),(2,9),(3,5),(4,8),(7,10)]=>2 [(1,5),(2,9),(3,6),(4,8),(7,10)]=>3 [(1,4),(2,9),(3,6),(5,8),(7,10)]=>2 [(1,3),(2,9),(4,6),(5,8),(7,10)]=>2 [(1,2),(3,9),(4,6),(5,8),(7,10)]=>2 [(1,2),(3,10),(4,6),(5,8),(7,9)]=>2 [(1,3),(2,10),(4,6),(5,8),(7,9)]=>2 [(1,4),(2,10),(3,6),(5,8),(7,9)]=>2 [(1,5),(2,10),(3,6),(4,8),(7,9)]=>3 [(1,6),(2,10),(3,5),(4,8),(7,9)]=>2 [(1,7),(2,10),(3,5),(4,8),(6,9)]=>3 [(1,8),(2,10),(3,5),(4,7),(6,9)]=>2 [(1,9),(2,10),(3,5),(4,7),(6,8)]=>2 [(1,10),(2,9),(3,5),(4,7),(6,8)]=>2 [(1,10),(2,9),(3,4),(5,7),(6,8)]=>2 [(1,9),(2,10),(3,4),(5,7),(6,8)]=>2 [(1,8),(2,10),(3,4),(5,7),(6,9)]=>2 [(1,7),(2,10),(3,4),(5,8),(6,9)]=>3 [(1,6),(2,10),(3,4),(5,8),(7,9)]=>2 [(1,5),(2,10),(3,4),(6,8),(7,9)]=>2 [(1,4),(2,10),(3,5),(6,8),(7,9)]=>2 [(1,3),(2,10),(4,5),(6,8),(7,9)]=>2 [(1,2),(3,10),(4,5),(6,8),(7,9)]=>2 [(1,2),(3,9),(4,5),(6,8),(7,10)]=>2 [(1,3),(2,9),(4,5),(6,8),(7,10)]=>2 [(1,4),(2,9),(3,5),(6,8),(7,10)]=>2 [(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)]=>3 [(1,8),(2,9),(3,4),(5,7),(6,10)]=>3 [(1,9),(2,8),(3,4),(5,7),(6,10)]=>2 [(1,10),(2,8),(3,4),(5,7),(6,9)]=>2 [(1,10),(2,7),(3,4),(5,8),(6,9)]=>3 [(1,9),(2,7),(3,4),(5,8),(6,10)]=>3 [(1,8),(2,7),(3,4),(5,9),(6,10)]=>3 [(1,7),(2,8),(3,4),(5,9),(6,10)]=>4 [(1,6),(2,8),(3,4),(5,9),(7,10)]=>3 [(1,5),(2,8),(3,4),(6,9),(7,10)]=>3 [(1,4),(2,8),(3,5),(6,9),(7,10)]=>3 [(1,3),(2,8),(4,5),(6,9),(7,10)]=>3 [(1,2),(3,8),(4,5),(6,9),(7,10)]=>3 [(1,2),(3,7),(4,5),(6,9),(8,10)]=>2 [(1,3),(2,7),(4,5),(6,9),(8,10)]=>2 [(1,4),(2,7),(3,5),(6,9),(8,10)]=>2 [(1,5),(2,7),(3,4),(6,9),(8,10)]=>2 [(1,6),(2,7),(3,4),(5,9),(8,10)]=>3 [(1,7),(2,6),(3,4),(5,9),(8,10)]=>2 [(1,8),(2,6),(3,4),(5,9),(7,10)]=>3 [(1,9),(2,6),(3,4),(5,8),(7,10)]=>2 [(1,10),(2,6),(3,4),(5,8),(7,9)]=>2 [(1,10),(2,5),(3,4),(6,8),(7,9)]=>2 [(1,9),(2,5),(3,4),(6,8),(7,10)]=>2 [(1,8),(2,5),(3,4),(6,9),(7,10)]=>3 [(1,7),(2,5),(3,4),(6,9),(8,10)]=>2 [(1,6),(2,5),(3,4),(7,9),(8,10)]=>2 [(1,5),(2,6),(3,4),(7,9),(8,10)]=>2 [(1,4),(2,6),(3,5),(7,9),(8,10)]=>2 [(1,3),(2,6),(4,5),(7,9),(8,10)]=>2 [(1,2),(3,6),(4,5),(7,9),(8,10)]=>2 [(1,2),(3,5),(4,6),(7,9),(8,10)]=>2 [(1,3),(2,5),(4,6),(7,9),(8,10)]=>2 [(1,4),(2,5),(3,6),(7,9),(8,10)]=>3 [(1,5),(2,4),(3,6),(7,9),(8,10)]=>2 [(1,6),(2,4),(3,5),(7,9),(8,10)]=>2 [(1,7),(2,4),(3,5),(6,9),(8,10)]=>2 [(1,8),(2,4),(3,5),(6,9),(7,10)]=>3 [(1,9),(2,4),(3,5),(6,8),(7,10)]=>2 [(1,10),(2,4),(3,5),(6,8),(7,9)]=>2 [(1,10),(2,3),(4,5),(6,8),(7,9)]=>2 [(1,9),(2,3),(4,5),(6,8),(7,10)]=>2 [(1,8),(2,3),(4,5),(6,9),(7,10)]=>3 [(1,7),(2,3),(4,5),(6,9),(8,10)]=>2 [(1,6),(2,3),(4,5),(7,9),(8,10)]=>2 [(1,5),(2,3),(4,6),(7,9),(8,10)]=>2 [(1,4),(2,3),(5,6),(7,9),(8,10)]=>2 [(1,3),(2,4),(5,6),(7,9),(8,10)]=>2 [(1,2),(3,4),(5,6),(7,9),(8,10)]=>2 [(1,2),(3,4),(5,6),(7,10),(8,9)]=>1 [(1,3),(2,4),(5,6),(7,10),(8,9)]=>2 [(1,4),(2,3),(5,6),(7,10),(8,9)]=>1 [(1,5),(2,3),(4,6),(7,10),(8,9)]=>2 [(1,6),(2,3),(4,5),(7,10),(8,9)]=>1 [(1,7),(2,3),(4,5),(6,10),(8,9)]=>2 [(1,8),(2,3),(4,5),(6,10),(7,9)]=>2 [(1,9),(2,3),(4,5),(6,10),(7,8)]=>2 [(1,10),(2,3),(4,5),(6,9),(7,8)]=>1 [(1,10),(2,4),(3,5),(6,9),(7,8)]=>2 [(1,9),(2,4),(3,5),(6,10),(7,8)]=>2 [(1,8),(2,4),(3,5),(6,10),(7,9)]=>2 [(1,7),(2,4),(3,5),(6,10),(8,9)]=>2 [(1,6),(2,4),(3,5),(7,10),(8,9)]=>2 [(1,5),(2,4),(3,6),(7,10),(8,9)]=>2 [(1,4),(2,5),(3,6),(7,10),(8,9)]=>3 [(1,3),(2,5),(4,6),(7,10),(8,9)]=>2 [(1,2),(3,5),(4,6),(7,10),(8,9)]=>2 [(1,2),(3,6),(4,5),(7,10),(8,9)]=>1 [(1,3),(2,6),(4,5),(7,10),(8,9)]=>2 [(1,4),(2,6),(3,5),(7,10),(8,9)]=>2 [(1,5),(2,6),(3,4),(7,10),(8,9)]=>2 [(1,6),(2,5),(3,4),(7,10),(8,9)]=>1 [(1,7),(2,5),(3,4),(6,10),(8,9)]=>2 [(1,8),(2,5),(3,4),(6,10),(7,9)]=>2 [(1,9),(2,5),(3,4),(6,10),(7,8)]=>2 [(1,10),(2,5),(3,4),(6,9),(7,8)]=>1 [(1,10),(2,6),(3,4),(5,9),(7,8)]=>2 [(1,9),(2,6),(3,4),(5,10),(7,8)]=>2 [(1,8),(2,6),(3,4),(5,10),(7,9)]=>2 [(1,7),(2,6),(3,4),(5,10),(8,9)]=>2 [(1,6),(2,7),(3,4),(5,10),(8,9)]=>3 [(1,5),(2,7),(3,4),(6,10),(8,9)]=>2 [(1,4),(2,7),(3,5),(6,10),(8,9)]=>2 [(1,3),(2,7),(4,5),(6,10),(8,9)]=>2 [(1,2),(3,7),(4,5),(6,10),(8,9)]=>2 [(1,2),(3,8),(4,5),(6,10),(7,9)]=>2 [(1,3),(2,8),(4,5),(6,10),(7,9)]=>2 [(1,4),(2,8),(3,5),(6,10),(7,9)]=>2 [(1,5),(2,8),(3,4),(6,10),(7,9)]=>2 [(1,6),(2,8),(3,4),(5,10),(7,9)]=>3 [(1,7),(2,8),(3,4),(5,10),(6,9)]=>3 [(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)]=>2 [(1,10),(2,8),(3,4),(5,9),(6,7)]=>2 [(1,9),(2,8),(3,4),(5,10),(6,7)]=>2 [(1,8),(2,9),(3,4),(5,10),(6,7)]=>3 [(1,7),(2,9),(3,4),(5,10),(6,8)]=>3 [(1,6),(2,9),(3,4),(5,10),(7,8)]=>3 [(1,5),(2,9),(3,4),(6,10),(7,8)]=>2 [(1,4),(2,9),(3,5),(6,10),(7,8)]=>2 [(1,3),(2,9),(4,5),(6,10),(7,8)]=>2 [(1,2),(3,9),(4,5),(6,10),(7,8)]=>2 [(1,2),(3,10),(4,5),(6,9),(7,8)]=>1 [(1,3),(2,10),(4,5),(6,9),(7,8)]=>2 [(1,4),(2,10),(3,5),(6,9),(7,8)]=>2 [(1,5),(2,10),(3,4),(6,9),(7,8)]=>2 [(1,6),(2,10),(3,4),(5,9),(7,8)]=>2 [(1,7),(2,10),(3,4),(5,9),(6,8)]=>2 [(1,8),(2,10),(3,4),(5,9),(6,7)]=>2 [(1,9),(2,10),(3,4),(5,8),(6,7)]=>2 [(1,10),(2,9),(3,4),(5,8),(6,7)]=>1 [(1,10),(2,9),(3,5),(4,8),(6,7)]=>2 [(1,9),(2,10),(3,5),(4,8),(6,7)]=>2 [(1,8),(2,10),(3,5),(4,9),(6,7)]=>2 [(1,7),(2,10),(3,5),(4,9),(6,8)]=>2 [(1,6),(2,10),(3,5),(4,9),(7,8)]=>2 [(1,5),(2,10),(3,6),(4,9),(7,8)]=>3 [(1,4),(2,10),(3,6),(5,9),(7,8)]=>2 [(1,3),(2,10),(4,6),(5,9),(7,8)]=>2 [(1,2),(3,10),(4,6),(5,9),(7,8)]=>2 [(1,2),(3,9),(4,6),(5,10),(7,8)]=>2 [(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)]=>3 [(1,6),(2,9),(3,5),(4,10),(7,8)]=>3 [(1,7),(2,9),(3,5),(4,10),(6,8)]=>3 [(1,8),(2,9),(3,5),(4,10),(6,7)]=>3 [(1,9),(2,8),(3,5),(4,10),(6,7)]=>2 [(1,10),(2,8),(3,5),(4,9),(6,7)]=>2 [(1,10),(2,7),(3,5),(4,9),(6,8)]=>2 [(1,9),(2,7),(3,5),(4,10),(6,8)]=>2 [(1,8),(2,7),(3,5),(4,10),(6,9)]=>2 [(1,7),(2,8),(3,5),(4,10),(6,9)]=>3 [(1,6),(2,8),(3,5),(4,10),(7,9)]=>3 [(1,5),(2,8),(3,6),(4,10),(7,9)]=>3 [(1,4),(2,8),(3,6),(5,10),(7,9)]=>2 [(1,3),(2,8),(4,6),(5,10),(7,9)]=>2 [(1,2),(3,8),(4,6),(5,10),(7,9)]=>2 [(1,2),(3,7),(4,6),(5,10),(8,9)]=>2 [(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)]=>3 [(1,6),(2,7),(3,5),(4,10),(8,9)]=>3 [(1,7),(2,6),(3,5),(4,10),(8,9)]=>2 [(1,8),(2,6),(3,5),(4,10),(7,9)]=>2 [(1,9),(2,6),(3,5),(4,10),(7,8)]=>2 [(1,10),(2,6),(3,5),(4,9),(7,8)]=>2 [(1,10),(2,5),(3,6),(4,9),(7,8)]=>3 [(1,9),(2,5),(3,6),(4,10),(7,8)]=>3 [(1,8),(2,5),(3,6),(4,10),(7,9)]=>3 [(1,7),(2,5),(3,6),(4,10),(8,9)]=>3 [(1,6),(2,5),(3,7),(4,10),(8,9)]=>3 [(1,5),(2,6),(3,7),(4,10),(8,9)]=>4 [(1,4),(2,6),(3,7),(5,10),(8,9)]=>3 [(1,3),(2,6),(4,7),(5,10),(8,9)]=>3 [(1,2),(3,6),(4,7),(5,10),(8,9)]=>3 [(1,2),(3,5),(4,7),(6,10),(8,9)]=>2 [(1,3),(2,5),(4,7),(6,10),(8,9)]=>2 [(1,4),(2,5),(3,7),(6,10),(8,9)]=>3 [(1,5),(2,4),(3,7),(6,10),(8,9)]=>2 [(1,6),(2,4),(3,7),(5,10),(8,9)]=>3 [(1,7),(2,4),(3,6),(5,10),(8,9)]=>2 [(1,8),(2,4),(3,6),(5,10),(7,9)]=>2 [(1,9),(2,4),(3,6),(5,10),(7,8)]=>2 [(1,10),(2,4),(3,6),(5,9),(7,8)]=>2 [(1,10),(2,3),(4,6),(5,9),(7,8)]=>2 [(1,9),(2,3),(4,6),(5,10),(7,8)]=>2 [(1,8),(2,3),(4,6),(5,10),(7,9)]=>2 [(1,7),(2,3),(4,6),(5,10),(8,9)]=>2 [(1,6),(2,3),(4,7),(5,10),(8,9)]=>3 [(1,5),(2,3),(4,7),(6,10),(8,9)]=>2 [(1,4),(2,3),(5,7),(6,10),(8,9)]=>2 [(1,3),(2,4),(5,7),(6,10),(8,9)]=>2 [(1,2),(3,4),(5,7),(6,10),(8,9)]=>2 [(1,2),(3,4),(5,8),(6,10),(7,9)]=>2 [(1,3),(2,4),(5,8),(6,10),(7,9)]=>2 [(1,4),(2,3),(5,8),(6,10),(7,9)]=>2 [(1,5),(2,3),(4,8),(6,10),(7,9)]=>2 [(1,6),(2,3),(4,8),(5,10),(7,9)]=>3 [(1,7),(2,3),(4,8),(5,10),(6,9)]=>3 [(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)]=>2 [(1,10),(2,4),(3,7),(5,9),(6,8)]=>2 [(1,9),(2,4),(3,7),(5,10),(6,8)]=>2 [(1,8),(2,4),(3,7),(5,10),(6,9)]=>2 [(1,7),(2,4),(3,8),(5,10),(6,9)]=>3 [(1,6),(2,4),(3,8),(5,10),(7,9)]=>3 [(1,5),(2,4),(3,8),(6,10),(7,9)]=>2 [(1,4),(2,5),(3,8),(6,10),(7,9)]=>3 [(1,3),(2,5),(4,8),(6,10),(7,9)]=>2 [(1,2),(3,5),(4,8),(6,10),(7,9)]=>2 [(1,2),(3,6),(4,8),(5,10),(7,9)]=>3 [(1,3),(2,6),(4,8),(5,10),(7,9)]=>3 [(1,4),(2,6),(3,8),(5,10),(7,9)]=>3 [(1,5),(2,6),(3,8),(4,10),(7,9)]=>4 [(1,6),(2,5),(3,8),(4,10),(7,9)]=>3 [(1,7),(2,5),(3,8),(4,10),(6,9)]=>3 [(1,8),(2,5),(3,7),(4,10),(6,9)]=>3 [(1,9),(2,5),(3,7),(4,10),(6,8)]=>3 [(1,10),(2,5),(3,7),(4,9),(6,8)]=>3 [(1,10),(2,6),(3,7),(4,9),(5,8)]=>3 [(1,9),(2,6),(3,7),(4,10),(5,8)]=>3 [(1,8),(2,6),(3,7),(4,10),(5,9)]=>3 [(1,7),(2,6),(3,8),(4,10),(5,9)]=>3 [(1,6),(2,7),(3,8),(4,10),(5,9)]=>4 [(1,5),(2,7),(3,8),(4,10),(6,9)]=>4 [(1,4),(2,7),(3,8),(5,10),(6,9)]=>3 [(1,3),(2,7),(4,8),(5,10),(6,9)]=>3 [(1,2),(3,7),(4,8),(5,10),(6,9)]=>3 [(1,2),(3,8),(4,7),(5,10),(6,9)]=>2 [(1,3),(2,8),(4,7),(5,10),(6,9)]=>2 [(1,4),(2,8),(3,7),(5,10),(6,9)]=>2 [(1,5),(2,8),(3,7),(4,10),(6,9)]=>3 [(1,6),(2,8),(3,7),(4,10),(5,9)]=>3 [(1,7),(2,8),(3,6),(4,10),(5,9)]=>3 [(1,8),(2,7),(3,6),(4,10),(5,9)]=>2 [(1,9),(2,7),(3,6),(4,10),(5,8)]=>2 [(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)]=>2 [(1,8),(2,9),(3,6),(4,10),(5,7)]=>3 [(1,7),(2,9),(3,6),(4,10),(5,8)]=>3 [(1,6),(2,9),(3,7),(4,10),(5,8)]=>3 [(1,5),(2,9),(3,7),(4,10),(6,8)]=>3 [(1,4),(2,9),(3,7),(5,10),(6,8)]=>2 [(1,3),(2,9),(4,7),(5,10),(6,8)]=>2 [(1,2),(3,9),(4,7),(5,10),(6,8)]=>2 [(1,2),(3,10),(4,7),(5,9),(6,8)]=>2 [(1,3),(2,10),(4,7),(5,9),(6,8)]=>2 [(1,4),(2,10),(3,7),(5,9),(6,8)]=>2 [(1,5),(2,10),(3,7),(4,9),(6,8)]=>3 [(1,6),(2,10),(3,7),(4,9),(5,8)]=>3 [(1,7),(2,10),(3,6),(4,9),(5,8)]=>2 [(1,8),(2,10),(3,6),(4,9),(5,7)]=>2 [(1,9),(2,10),(3,6),(4,8),(5,7)]=>2 [(1,10),(2,9),(3,6),(4,8),(5,7)]=>2 [(1,10),(2,9),(3,7),(4,8),(5,6)]=>2 [(1,9),(2,10),(3,7),(4,8),(5,6)]=>2 [(1,8),(2,10),(3,7),(4,9),(5,6)]=>2 [(1,7),(2,10),(3,8),(4,9),(5,6)]=>3 [(1,6),(2,10),(3,8),(4,9),(5,7)]=>3 [(1,5),(2,10),(3,8),(4,9),(6,7)]=>3 [(1,4),(2,10),(3,8),(5,9),(6,7)]=>2 [(1,3),(2,10),(4,8),(5,9),(6,7)]=>2 [(1,2),(3,10),(4,8),(5,9),(6,7)]=>2 [(1,2),(3,9),(4,8),(5,10),(6,7)]=>2 [(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)]=>3 [(1,6),(2,9),(3,8),(4,10),(5,7)]=>3 [(1,7),(2,9),(3,8),(4,10),(5,6)]=>3 [(1,8),(2,9),(3,7),(4,10),(5,6)]=>3 [(1,9),(2,8),(3,7),(4,10),(5,6)]=>2 [(1,10),(2,8),(3,7),(4,9),(5,6)]=>2 [(1,10),(2,7),(3,8),(4,9),(5,6)]=>3 [(1,9),(2,7),(3,8),(4,10),(5,6)]=>3 [(1,8),(2,7),(3,9),(4,10),(5,6)]=>3 [(1,7),(2,8),(3,9),(4,10),(5,6)]=>4 [(1,6),(2,8),(3,9),(4,10),(5,7)]=>4 [(1,5),(2,8),(3,9),(4,10),(6,7)]=>4 [(1,4),(2,8),(3,9),(5,10),(6,7)]=>3 [(1,3),(2,8),(4,9),(5,10),(6,7)]=>3 [(1,2),(3,8),(4,9),(5,10),(6,7)]=>3 [(1,2),(3,7),(4,9),(5,10),(6,8)]=>3 [(1,3),(2,7),(4,9),(5,10),(6,8)]=>3 [(1,4),(2,7),(3,9),(5,10),(6,8)]=>3 [(1,5),(2,7),(3,9),(4,10),(6,8)]=>4 [(1,6),(2,7),(3,9),(4,10),(5,8)]=>4 [(1,7),(2,6),(3,9),(4,10),(5,8)]=>3 [(1,8),(2,6),(3,9),(4,10),(5,7)]=>3 [(1,9),(2,6),(3,8),(4,10),(5,7)]=>3 [(1,10),(2,6),(3,8),(4,9),(5,7)]=>3 [(1,10),(2,5),(3,8),(4,9),(6,7)]=>3 [(1,9),(2,5),(3,8),(4,10),(6,7)]=>3 [(1,8),(2,5),(3,9),(4,10),(6,7)]=>3 [(1,7),(2,5),(3,9),(4,10),(6,8)]=>3 [(1,6),(2,5),(3,9),(4,10),(7,8)]=>3 [(1,5),(2,6),(3,9),(4,10),(7,8)]=>4 [(1,4),(2,6),(3,9),(5,10),(7,8)]=>3 [(1,3),(2,6),(4,9),(5,10),(7,8)]=>3 [(1,2),(3,6),(4,9),(5,10),(7,8)]=>3 [(1,2),(3,5),(4,9),(6,10),(7,8)]=>2 [(1,3),(2,5),(4,9),(6,10),(7,8)]=>2 [(1,4),(2,5),(3,9),(6,10),(7,8)]=>3 [(1,5),(2,4),(3,9),(6,10),(7,8)]=>2 [(1,6),(2,4),(3,9),(5,10),(7,8)]=>3 [(1,7),(2,4),(3,9),(5,10),(6,8)]=>3 [(1,8),(2,4),(3,9),(5,10),(6,7)]=>3 [(1,9),(2,4),(3,8),(5,10),(6,7)]=>2 [(1,10),(2,4),(3,8),(5,9),(6,7)]=>2 [(1,10),(2,3),(4,8),(5,9),(6,7)]=>2 [(1,9),(2,3),(4,8),(5,10),(6,7)]=>2 [(1,8),(2,3),(4,9),(5,10),(6,7)]=>3 [(1,7),(2,3),(4,9),(5,10),(6,8)]=>3 [(1,6),(2,3),(4,9),(5,10),(7,8)]=>3 [(1,5),(2,3),(4,9),(6,10),(7,8)]=>2 [(1,4),(2,3),(5,9),(6,10),(7,8)]=>2 [(1,3),(2,4),(5,9),(6,10),(7,8)]=>2 [(1,2),(3,4),(5,9),(6,10),(7,8)]=>2 [(1,2),(3,4),(5,10),(6,9),(7,8)]=>1 [(1,3),(2,4),(5,10),(6,9),(7,8)]=>2 [(1,4),(2,3),(5,10),(6,9),(7,8)]=>1 [(1,5),(2,3),(4,10),(6,9),(7,8)]=>2 [(1,6),(2,3),(4,10),(5,9),(7,8)]=>2 [(1,7),(2,3),(4,10),(5,9),(6,8)]=>2 [(1,8),(2,3),(4,10),(5,9),(6,7)]=>2 [(1,9),(2,3),(4,10),(5,8),(6,7)]=>2 [(1,10),(2,3),(4,9),(5,8),(6,7)]=>1 [(1,10),(2,4),(3,9),(5,8),(6,7)]=>2 [(1,9),(2,4),(3,10),(5,8),(6,7)]=>2 [(1,8),(2,4),(3,10),(5,9),(6,7)]=>2 [(1,7),(2,4),(3,10),(5,9),(6,8)]=>2 [(1,6),(2,4),(3,10),(5,9),(7,8)]=>2 [(1,5),(2,4),(3,10),(6,9),(7,8)]=>2 [(1,4),(2,5),(3,10),(6,9),(7,8)]=>3 [(1,3),(2,5),(4,10),(6,9),(7,8)]=>2 [(1,2),(3,5),(4,10),(6,9),(7,8)]=>2 [(1,2),(3,6),(4,10),(5,9),(7,8)]=>2 [(1,3),(2,6),(4,10),(5,9),(7,8)]=>2 [(1,4),(2,6),(3,10),(5,9),(7,8)]=>3 [(1,5),(2,6),(3,10),(4,9),(7,8)]=>3 [(1,6),(2,5),(3,10),(4,9),(7,8)]=>2 [(1,7),(2,5),(3,10),(4,9),(6,8)]=>2 [(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)]=>2 [(1,10),(2,6),(3,9),(4,8),(5,7)]=>2 [(1,9),(2,6),(3,10),(4,8),(5,7)]=>2 [(1,8),(2,6),(3,10),(4,9),(5,7)]=>2 [(1,7),(2,6),(3,10),(4,9),(5,8)]=>2 [(1,6),(2,7),(3,10),(4,9),(5,8)]=>3 [(1,5),(2,7),(3,10),(4,9),(6,8)]=>3 [(1,4),(2,7),(3,10),(5,9),(6,8)]=>3 [(1,3),(2,7),(4,10),(5,9),(6,8)]=>2 [(1,2),(3,7),(4,10),(5,9),(6,8)]=>2 [(1,2),(3,8),(4,10),(5,9),(6,7)]=>2 [(1,3),(2,8),(4,10),(5,9),(6,7)]=>2 [(1,4),(2,8),(3,10),(5,9),(6,7)]=>3 [(1,5),(2,8),(3,10),(4,9),(6,7)]=>3 [(1,6),(2,8),(3,10),(4,9),(5,7)]=>3 [(1,7),(2,8),(3,10),(4,9),(5,6)]=>3 [(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)]=>2 [(1,10),(2,8),(3,9),(4,7),(5,6)]=>2 [(1,9),(2,8),(3,10),(4,7),(5,6)]=>2 [(1,8),(2,9),(3,10),(4,7),(5,6)]=>3 [(1,7),(2,9),(3,10),(4,8),(5,6)]=>3 [(1,6),(2,9),(3,10),(4,8),(5,7)]=>3 [(1,5),(2,9),(3,10),(4,8),(6,7)]=>3 [(1,4),(2,9),(3,10),(5,8),(6,7)]=>3 [(1,3),(2,9),(4,10),(5,8),(6,7)]=>2 [(1,2),(3,9),(4,10),(5,8),(6,7)]=>2 [(1,2),(3,10),(4,9),(5,8),(6,7)]=>1 [(1,3),(2,10),(4,9),(5,8),(6,7)]=>2 [(1,4),(2,10),(3,9),(5,8),(6,7)]=>2 [(1,5),(2,10),(3,9),(4,8),(6,7)]=>2 [(1,6),(2,10),(3,9),(4,8),(5,7)]=>2 [(1,7),(2,10),(3,9),(4,8),(5,6)]=>2 [(1,8),(2,10),(3,9),(4,7),(5,6)]=>2 [(1,9),(2,10),(3,8),(4,7),(5,6)]=>2 [(1,10),(2,9),(3,8),(4,7),(5,6)]=>1
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Description
The crossing number of a perfect matching.
This is the maximal number of chords in the standard representation of a perfect matching that mutually cross.
References
[1] Chen, W. Y. C., Deng, E. Y. P., Du, R. R. X., Stanley, R. P., Yan, C. H. Crossings and nestings of matchings and partitions MathSciNet:2272140 arXiv:math/0501230
Code
def statistic(m):
    return max(len(la) for la in to_oscillating(m))

def to_oscillating(m):
    RuleRSK = GrowthDiagram.rules.RSK()
    m = PerfectMatching(m)
    n = m.size()
    filling = {(i-1, n-j): 1 for i, j in m.arcs()}
    shape = list(range(n-1,0,-1))
    return RuleRSK(filling, shape=shape).out_labels()
Created
Sep 10, 2020 at 21:12 by Martin Rubey
Updated
Sep 10, 2020 at 21:12 by Martin Rubey