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Identifier
Values
=>
Cc0012;cc-rep
[(1,2)]=>0 [(1,2),(3,4)]=>0 [(1,3),(2,4)]=>0 [(1,4),(2,3)]=>1 [(1,2),(3,4),(5,6)]=>0 [(1,3),(2,4),(5,6)]=>0 [(1,4),(2,3),(5,6)]=>1 [(1,5),(2,3),(4,6)]=>1 [(1,6),(2,3),(4,5)]=>1 [(1,6),(2,4),(3,5)]=>1 [(1,5),(2,4),(3,6)]=>1 [(1,4),(2,5),(3,6)]=>0 [(1,3),(2,5),(4,6)]=>0 [(1,2),(3,5),(4,6)]=>0 [(1,2),(3,6),(4,5)]=>1 [(1,3),(2,6),(4,5)]=>1 [(1,4),(2,6),(3,5)]=>1 [(1,5),(2,6),(3,4)]=>2 [(1,6),(2,5),(3,4)]=>2 [(1,2),(3,4),(5,6),(7,8)]=>0 [(1,3),(2,4),(5,6),(7,8)]=>0 [(1,4),(2,3),(5,6),(7,8)]=>1 [(1,5),(2,3),(4,6),(7,8)]=>1 [(1,6),(2,3),(4,5),(7,8)]=>1 [(1,7),(2,3),(4,5),(6,8)]=>1 [(1,8),(2,3),(4,5),(6,7)]=>1 [(1,8),(2,4),(3,5),(6,7)]=>1 [(1,7),(2,4),(3,5),(6,8)]=>1 [(1,6),(2,4),(3,5),(7,8)]=>1 [(1,5),(2,4),(3,6),(7,8)]=>1 [(1,4),(2,5),(3,6),(7,8)]=>0 [(1,3),(2,5),(4,6),(7,8)]=>0 [(1,2),(3,5),(4,6),(7,8)]=>0 [(1,2),(3,6),(4,5),(7,8)]=>1 [(1,3),(2,6),(4,5),(7,8)]=>1 [(1,4),(2,6),(3,5),(7,8)]=>1 [(1,5),(2,6),(3,4),(7,8)]=>2 [(1,6),(2,5),(3,4),(7,8)]=>2 [(1,7),(2,5),(3,4),(6,8)]=>2 [(1,8),(2,5),(3,4),(6,7)]=>2 [(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)]=>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)]=>1 [(1,2),(3,7),(4,5),(6,8)]=>1 [(1,2),(3,8),(4,5),(6,7)]=>1 [(1,3),(2,8),(4,5),(6,7)]=>1 [(1,4),(2,8),(3,5),(6,7)]=>1 [(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)]=>2 [(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)]=>1 [(1,4),(2,8),(3,6),(5,7)]=>1 [(1,3),(2,8),(4,6),(5,7)]=>1 [(1,2),(3,8),(4,6),(5,7)]=>1 [(1,2),(3,7),(4,6),(5,8)]=>1 [(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)]=>2 [(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)]=>1 [(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)]=>0 [(1,4),(2,6),(3,7),(5,8)]=>0 [(1,3),(2,6),(4,7),(5,8)]=>0 [(1,2),(3,6),(4,7),(5,8)]=>0 [(1,2),(3,5),(4,7),(6,8)]=>0 [(1,3),(2,5),(4,7),(6,8)]=>0 [(1,4),(2,5),(3,7),(6,8)]=>0 [(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)]=>1 [(1,8),(2,3),(4,6),(5,7)]=>1 [(1,7),(2,3),(4,6),(5,8)]=>1 [(1,6),(2,3),(4,7),(5,8)]=>1 [(1,5),(2,3),(4,7),(6,8)]=>1 [(1,4),(2,3),(5,7),(6,8)]=>1 [(1,3),(2,4),(5,7),(6,8)]=>0 [(1,2),(3,4),(5,7),(6,8)]=>0 [(1,2),(3,4),(5,8),(6,7)]=>1 [(1,3),(2,4),(5,8),(6,7)]=>1 [(1,4),(2,3),(5,8),(6,7)]=>1 [(1,5),(2,3),(4,8),(6,7)]=>1 [(1,6),(2,3),(4,8),(5,7)]=>1 [(1,7),(2,3),(4,8),(5,6)]=>2 [(1,8),(2,3),(4,7),(5,6)]=>2 [(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)]=>1 [(1,5),(2,4),(3,8),(6,7)]=>1 [(1,4),(2,5),(3,8),(6,7)]=>1 [(1,3),(2,5),(4,8),(6,7)]=>1 [(1,2),(3,5),(4,8),(6,7)]=>1 [(1,2),(3,6),(4,8),(5,7)]=>1 [(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)]=>2 [(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)]=>3 [(1,6),(2,7),(3,8),(4,5)]=>3 [(1,5),(2,7),(3,8),(4,6)]=>2 [(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)]=>2 [(1,2),(3,8),(4,7),(5,6)]=>2 [(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)]=>3 [(1,7),(2,8),(3,6),(4,5)]=>3 [(1,8),(2,7),(3,6),(4,5)]=>3 [(1,2),(3,4),(5,6),(7,8),(9,10)]=>0 [(1,3),(2,4),(5,6),(7,8),(9,10)]=>0 [(1,4),(2,3),(5,6),(7,8),(9,10)]=>1 [(1,5),(2,3),(4,6),(7,8),(9,10)]=>1 [(1,6),(2,3),(4,5),(7,8),(9,10)]=>1 [(1,7),(2,3),(4,5),(6,8),(9,10)]=>1 [(1,8),(2,3),(4,5),(6,7),(9,10)]=>1 [(1,9),(2,3),(4,5),(6,7),(8,10)]=>1 [(1,10),(2,3),(4,5),(6,7),(8,9)]=>1 [(1,10),(2,4),(3,5),(6,7),(8,9)]=>1 [(1,9),(2,4),(3,5),(6,7),(8,10)]=>1 [(1,8),(2,4),(3,5),(6,7),(9,10)]=>1 [(1,7),(2,4),(3,5),(6,8),(9,10)]=>1 [(1,6),(2,4),(3,5),(7,8),(9,10)]=>1 [(1,5),(2,4),(3,6),(7,8),(9,10)]=>1 [(1,4),(2,5),(3,6),(7,8),(9,10)]=>0 [(1,3),(2,5),(4,6),(7,8),(9,10)]=>0 [(1,2),(3,5),(4,6),(7,8),(9,10)]=>0 [(1,2),(3,6),(4,5),(7,8),(9,10)]=>1 [(1,3),(2,6),(4,5),(7,8),(9,10)]=>1 [(1,4),(2,6),(3,5),(7,8),(9,10)]=>1 [(1,5),(2,6),(3,4),(7,8),(9,10)]=>2 [(1,6),(2,5),(3,4),(7,8),(9,10)]=>2 [(1,7),(2,5),(3,4),(6,8),(9,10)]=>2 [(1,8),(2,5),(3,4),(6,7),(9,10)]=>2 [(1,9),(2,5),(3,4),(6,7),(8,10)]=>2 [(1,10),(2,5),(3,4),(6,7),(8,9)]=>2 [(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)]=>2 [(1,5),(2,7),(3,4),(6,8),(9,10)]=>2 [(1,4),(2,7),(3,5),(6,8),(9,10)]=>1 [(1,3),(2,7),(4,5),(6,8),(9,10)]=>1 [(1,2),(3,7),(4,5),(6,8),(9,10)]=>1 [(1,2),(3,8),(4,5),(6,7),(9,10)]=>1 [(1,3),(2,8),(4,5),(6,7),(9,10)]=>1 [(1,4),(2,8),(3,5),(6,7),(9,10)]=>1 [(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)]=>2 [(1,9),(2,7),(3,4),(5,6),(8,10)]=>2 [(1,10),(2,7),(3,4),(5,6),(8,9)]=>2 [(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)]=>2 [(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)]=>1 [(1,3),(2,9),(4,5),(6,7),(8,10)]=>1 [(1,2),(3,9),(4,5),(6,7),(8,10)]=>1 [(1,2),(3,10),(4,5),(6,7),(8,9)]=>1 [(1,3),(2,10),(4,5),(6,7),(8,9)]=>1 [(1,4),(2,10),(3,5),(6,7),(8,9)]=>1 [(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)]=>2 [(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)]=>1 [(1,4),(2,10),(3,6),(5,7),(8,9)]=>1 [(1,3),(2,10),(4,6),(5,7),(8,9)]=>1 [(1,2),(3,10),(4,6),(5,7),(8,9)]=>1 [(1,2),(3,9),(4,6),(5,7),(8,10)]=>1 [(1,3),(2,9),(4,6),(5,7),(8,10)]=>1 [(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)]=>2 [(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)]=>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)]=>1 [(1,4),(2,8),(3,6),(5,7),(9,10)]=>1 [(1,3),(2,8),(4,6),(5,7),(9,10)]=>1 [(1,2),(3,8),(4,6),(5,7),(9,10)]=>1 [(1,2),(3,7),(4,6),(5,8),(9,10)]=>1 [(1,3),(2,7),(4,6),(5,8),(9,10)]=>1 [(1,4),(2,7),(3,6),(5,8),(9,10)]=>1 [(1,5),(2,7),(3,6),(4,8),(9,10)]=>1 [(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)]=>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)]=>1 [(1,9),(2,5),(3,6),(4,7),(8,10)]=>1 [(1,8),(2,5),(3,6),(4,7),(9,10)]=>1 [(1,7),(2,5),(3,6),(4,8),(9,10)]=>1 [(1,6),(2,5),(3,7),(4,8),(9,10)]=>1 [(1,5),(2,6),(3,7),(4,8),(9,10)]=>0 [(1,4),(2,6),(3,7),(5,8),(9,10)]=>0 [(1,3),(2,6),(4,7),(5,8),(9,10)]=>0 [(1,2),(3,6),(4,7),(5,8),(9,10)]=>0 [(1,2),(3,5),(4,7),(6,8),(9,10)]=>0 [(1,3),(2,5),(4,7),(6,8),(9,10)]=>0 [(1,4),(2,5),(3,7),(6,8),(9,10)]=>0 [(1,5),(2,4),(3,7),(6,8),(9,10)]=>1 [(1,6),(2,4),(3,7),(5,8),(9,10)]=>1 [(1,7),(2,4),(3,6),(5,8),(9,10)]=>1 [(1,8),(2,4),(3,6),(5,7),(9,10)]=>1 [(1,9),(2,4),(3,6),(5,7),(8,10)]=>1 [(1,10),(2,4),(3,6),(5,7),(8,9)]=>1 [(1,10),(2,3),(4,6),(5,7),(8,9)]=>1 [(1,9),(2,3),(4,6),(5,7),(8,10)]=>1 [(1,8),(2,3),(4,6),(5,7),(9,10)]=>1 [(1,7),(2,3),(4,6),(5,8),(9,10)]=>1 [(1,6),(2,3),(4,7),(5,8),(9,10)]=>1 [(1,5),(2,3),(4,7),(6,8),(9,10)]=>1 [(1,4),(2,3),(5,7),(6,8),(9,10)]=>1 [(1,3),(2,4),(5,7),(6,8),(9,10)]=>0 [(1,2),(3,4),(5,7),(6,8),(9,10)]=>0 [(1,2),(3,4),(5,8),(6,7),(9,10)]=>1 [(1,3),(2,4),(5,8),(6,7),(9,10)]=>1 [(1,4),(2,3),(5,8),(6,7),(9,10)]=>1 [(1,5),(2,3),(4,8),(6,7),(9,10)]=>1 [(1,6),(2,3),(4,8),(5,7),(9,10)]=>1 [(1,7),(2,3),(4,8),(5,6),(9,10)]=>2 [(1,8),(2,3),(4,7),(5,6),(9,10)]=>2 [(1,9),(2,3),(4,7),(5,6),(8,10)]=>2 [(1,10),(2,3),(4,7),(5,6),(8,9)]=>2 [(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)]=>1 [(1,5),(2,4),(3,8),(6,7),(9,10)]=>1 [(1,4),(2,5),(3,8),(6,7),(9,10)]=>1 [(1,3),(2,5),(4,8),(6,7),(9,10)]=>1 [(1,2),(3,5),(4,8),(6,7),(9,10)]=>1 [(1,2),(3,6),(4,8),(5,7),(9,10)]=>1 [(1,3),(2,6),(4,8),(5,7),(9,10)]=>1 [(1,4),(2,6),(3,8),(5,7),(9,10)]=>1 [(1,5),(2,6),(3,8),(4,7),(9,10)]=>1 [(1,6),(2,5),(3,8),(4,7),(9,10)]=>1 [(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)]=>3 [(1,9),(2,6),(3,7),(4,5),(8,10)]=>3 [(1,8),(2,6),(3,7),(4,5),(9,10)]=>3 [(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)]=>2 [(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)]=>2 [(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)]=>3 [(1,7),(2,8),(3,6),(4,5),(9,10)]=>3 [(1,8),(2,7),(3,6),(4,5),(9,10)]=>3 [(1,9),(2,7),(3,6),(4,5),(8,10)]=>3 [(1,10),(2,7),(3,6),(4,5),(8,9)]=>3 [(1,10),(2,8),(3,6),(4,5),(7,9)]=>3 [(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)]=>3 [(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)]=>2 [(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)]=>3 [(1,7),(2,10),(3,6),(4,5),(8,9)]=>3 [(1,8),(2,10),(3,6),(4,5),(7,9)]=>3 [(1,9),(2,10),(3,6),(4,5),(7,8)]=>3 [(1,10),(2,9),(3,6),(4,5),(7,8)]=>3 [(1,10),(2,9),(3,7),(4,5),(6,8)]=>3 [(1,9),(2,10),(3,7),(4,5),(6,8)]=>3 [(1,8),(2,10),(3,7),(4,5),(6,9)]=>3 [(1,7),(2,10),(3,8),(4,5),(6,9)]=>3 [(1,6),(2,10),(3,8),(4,5),(7,9)]=>3 [(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)]=>3 [(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)]=>3 [(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)]=>3 [(1,8),(2,7),(3,9),(4,5),(6,10)]=>3 [(1,7),(2,8),(3,9),(4,5),(6,10)]=>3 [(1,6),(2,8),(3,9),(4,5),(7,10)]=>3 [(1,5),(2,8),(3,9),(4,6),(7,10)]=>2 [(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)]=>2 [(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)]=>2 [(1,5),(2,7),(3,9),(4,6),(8,10)]=>2 [(1,6),(2,7),(3,9),(4,5),(8,10)]=>3 [(1,7),(2,6),(3,9),(4,5),(8,10)]=>3 [(1,8),(2,6),(3,9),(4,5),(7,10)]=>3 [(1,9),(2,6),(3,8),(4,5),(7,10)]=>3 [(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)]=>2 [(1,8),(2,5),(3,9),(4,6),(7,10)]=>2 [(1,7),(2,5),(3,9),(4,6),(8,10)]=>2 [(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)]=>1 [(1,2),(3,5),(4,9),(6,7),(8,10)]=>1 [(1,3),(2,5),(4,9),(6,7),(8,10)]=>1 [(1,4),(2,5),(3,9),(6,7),(8,10)]=>1 [(1,5),(2,4),(3,9),(6,7),(8,10)]=>1 [(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)]=>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)]=>2 [(1,7),(2,3),(4,9),(5,6),(8,10)]=>2 [(1,6),(2,3),(4,9),(5,7),(8,10)]=>1 [(1,5),(2,3),(4,9),(6,7),(8,10)]=>1 [(1,4),(2,3),(5,9),(6,7),(8,10)]=>1 [(1,3),(2,4),(5,9),(6,7),(8,10)]=>1 [(1,2),(3,4),(5,9),(6,7),(8,10)]=>1 [(1,2),(3,4),(5,10),(6,7),(8,9)]=>1 [(1,3),(2,4),(5,10),(6,7),(8,9)]=>1 [(1,4),(2,3),(5,10),(6,7),(8,9)]=>1 [(1,5),(2,3),(4,10),(6,7),(8,9)]=>1 [(1,6),(2,3),(4,10),(5,7),(8,9)]=>1 [(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)]=>2 [(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)]=>1 [(1,5),(2,4),(3,10),(6,7),(8,9)]=>1 [(1,4),(2,5),(3,10),(6,7),(8,9)]=>1 [(1,3),(2,5),(4,10),(6,7),(8,9)]=>1 [(1,2),(3,5),(4,10),(6,7),(8,9)]=>1 [(1,2),(3,6),(4,10),(5,7),(8,9)]=>1 [(1,3),(2,6),(4,10),(5,7),(8,9)]=>1 [(1,4),(2,6),(3,10),(5,7),(8,9)]=>1 [(1,5),(2,6),(3,10),(4,7),(8,9)]=>1 [(1,6),(2,5),(3,10),(4,7),(8,9)]=>1 [(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)]=>3 [(1,9),(2,6),(3,10),(4,5),(7,8)]=>3 [(1,8),(2,6),(3,10),(4,5),(7,9)]=>3 [(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)]=>2 [(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)]=>2 [(1,5),(2,8),(3,10),(4,6),(7,9)]=>2 [(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)]=>3 [(1,9),(2,7),(3,10),(4,5),(6,8)]=>3 [(1,10),(2,7),(3,9),(4,5),(6,8)]=>3 [(1,10),(2,8),(3,9),(4,5),(6,7)]=>3 [(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)]=>3 [(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)]=>2 [(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)]=>2 [(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)]=>3 [(1,7),(2,10),(3,9),(4,5),(6,8)]=>3 [(1,8),(2,10),(3,9),(4,5),(6,7)]=>3 [(1,9),(2,10),(3,8),(4,5),(6,7)]=>3 [(1,10),(2,9),(3,8),(4,5),(6,7)]=>3 [(1,10),(2,9),(3,8),(4,6),(5,7)]=>3 [(1,9),(2,10),(3,8),(4,6),(5,7)]=>3 [(1,8),(2,10),(3,9),(4,6),(5,7)]=>3 [(1,7),(2,10),(3,9),(4,6),(5,8)]=>3 [(1,6),(2,10),(3,9),(4,7),(5,8)]=>2 [(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)]=>2 [(1,5),(2,9),(3,10),(4,7),(6,8)]=>2 [(1,6),(2,9),(3,10),(4,7),(5,8)]=>2 [(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)]=>3 [(1,10),(2,8),(3,9),(4,6),(5,7)]=>3 [(1,10),(2,7),(3,9),(4,6),(5,8)]=>3 [(1,9),(2,7),(3,10),(4,6),(5,8)]=>3 [(1,8),(2,7),(3,10),(4,6),(5,9)]=>3 [(1,7),(2,8),(3,10),(4,6),(5,9)]=>3 [(1,6),(2,8),(3,10),(4,7),(5,9)]=>2 [(1,5),(2,8),(3,10),(4,7),(6,9)]=>2 [(1,4),(2,8),(3,10),(5,7),(6,9)]=>2 [(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)]=>1 [(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)]=>2 [(1,9),(2,6),(3,10),(4,7),(5,8)]=>2 [(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)]=>2 [(1,8),(2,5),(3,10),(4,7),(6,9)]=>2 [(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)]=>1 [(1,2),(3,5),(4,10),(6,8),(7,9)]=>1 [(1,3),(2,5),(4,10),(6,8),(7,9)]=>1 [(1,4),(2,5),(3,10),(6,8),(7,9)]=>1 [(1,5),(2,4),(3,10),(6,8),(7,9)]=>1 [(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)]=>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)]=>1 [(1,6),(2,3),(4,10),(5,8),(7,9)]=>1 [(1,5),(2,3),(4,10),(6,8),(7,9)]=>1 [(1,4),(2,3),(5,10),(6,8),(7,9)]=>1 [(1,3),(2,4),(5,10),(6,8),(7,9)]=>1 [(1,2),(3,4),(5,10),(6,8),(7,9)]=>1 [(1,2),(3,4),(5,9),(6,8),(7,10)]=>1 [(1,3),(2,4),(5,9),(6,8),(7,10)]=>1 [(1,4),(2,3),(5,9),(6,8),(7,10)]=>1 [(1,5),(2,3),(4,9),(6,8),(7,10)]=>1 [(1,6),(2,3),(4,9),(5,8),(7,10)]=>1 [(1,7),(2,3),(4,9),(5,8),(6,10)]=>1 [(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)]=>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)]=>2 [(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)]=>1 [(1,2),(3,6),(4,9),(5,8),(7,10)]=>1 [(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)]=>2 [(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)]=>2 [(1,9),(2,6),(3,8),(4,7),(5,10)]=>2 [(1,8),(2,6),(3,9),(4,7),(5,10)]=>2 [(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)]=>1 [(1,2),(3,8),(4,9),(5,7),(6,10)]=>2 [(1,3),(2,8),(4,9),(5,7),(6,10)]=>2 [(1,4),(2,8),(3,9),(5,7),(6,10)]=>2 [(1,5),(2,8),(3,9),(4,7),(6,10)]=>2 [(1,6),(2,8),(3,9),(4,7),(5,10)]=>2 [(1,7),(2,8),(3,9),(4,6),(5,10)]=>3 [(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)]=>3 [(1,9),(2,8),(3,7),(4,6),(5,10)]=>3 [(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)]=>2 [(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)]=>2 [(1,7),(2,10),(3,8),(4,6),(5,9)]=>3 [(1,8),(2,10),(3,7),(4,6),(5,9)]=>3 [(1,9),(2,10),(3,7),(4,6),(5,8)]=>3 [(1,10),(2,9),(3,7),(4,6),(5,8)]=>3 [(1,10),(2,9),(3,6),(4,7),(5,8)]=>2 [(1,9),(2,10),(3,6),(4,7),(5,8)]=>2 [(1,8),(2,10),(3,6),(4,7),(5,9)]=>2 [(1,7),(2,10),(3,6),(4,8),(5,9)]=>2 [(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)]=>1 [(1,2),(3,10),(4,7),(5,8),(6,9)]=>1 [(1,2),(3,9),(4,7),(5,8),(6,10)]=>1 [(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)]=>2 [(1,8),(2,9),(3,6),(4,7),(5,10)]=>2 [(1,9),(2,8),(3,6),(4,7),(5,10)]=>2 [(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)]=>2 [(1,8),(2,7),(3,6),(4,9),(5,10)]=>2 [(1,7),(2,8),(3,6),(4,9),(5,10)]=>2 [(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)]=>1 [(1,2),(3,7),(4,8),(5,9),(6,10)]=>0 [(1,3),(2,7),(4,8),(5,9),(6,10)]=>0 [(1,4),(2,7),(3,8),(5,9),(6,10)]=>0 [(1,5),(2,7),(3,8),(4,9),(6,10)]=>0 [(1,6),(2,7),(3,8),(4,9),(5,10)]=>0 [(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)]=>1 [(1,10),(2,5),(3,7),(4,8),(6,9)]=>1 [(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)]=>0 [(1,4),(2,6),(3,8),(5,9),(7,10)]=>0 [(1,3),(2,6),(4,8),(5,9),(7,10)]=>0 [(1,2),(3,6),(4,8),(5,9),(7,10)]=>0 [(1,2),(3,5),(4,8),(6,9),(7,10)]=>0 [(1,3),(2,5),(4,8),(6,9),(7,10)]=>0 [(1,4),(2,5),(3,8),(6,9),(7,10)]=>0 [(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)]=>1 [(1,10),(2,3),(4,7),(5,8),(6,9)]=>1 [(1,9),(2,3),(4,7),(5,8),(6,10)]=>1 [(1,8),(2,3),(4,7),(5,9),(6,10)]=>1 [(1,7),(2,3),(4,8),(5,9),(6,10)]=>1 [(1,6),(2,3),(4,8),(5,9),(7,10)]=>1 [(1,5),(2,3),(4,8),(6,9),(7,10)]=>1 [(1,4),(2,3),(5,8),(6,9),(7,10)]=>1 [(1,3),(2,4),(5,8),(6,9),(7,10)]=>0 [(1,2),(3,4),(5,8),(6,9),(7,10)]=>0 [(1,2),(3,4),(5,7),(6,9),(8,10)]=>0 [(1,3),(2,4),(5,7),(6,9),(8,10)]=>0 [(1,4),(2,3),(5,7),(6,9),(8,10)]=>1 [(1,5),(2,3),(4,7),(6,9),(8,10)]=>1 [(1,6),(2,3),(4,7),(5,9),(8,10)]=>1 [(1,7),(2,3),(4,6),(5,9),(8,10)]=>1 [(1,8),(2,3),(4,6),(5,9),(7,10)]=>1 [(1,9),(2,3),(4,6),(5,8),(7,10)]=>1 [(1,10),(2,3),(4,6),(5,8),(7,9)]=>1 [(1,10),(2,4),(3,6),(5,8),(7,9)]=>1 [(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)]=>0 [(1,3),(2,5),(4,7),(6,9),(8,10)]=>0 [(1,2),(3,5),(4,7),(6,9),(8,10)]=>0 [(1,2),(3,6),(4,7),(5,9),(8,10)]=>0 [(1,3),(2,6),(4,7),(5,9),(8,10)]=>0 [(1,4),(2,6),(3,7),(5,9),(8,10)]=>0 [(1,5),(2,6),(3,7),(4,9),(8,10)]=>0 [(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)]=>1 [(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)]=>2 [(1,7),(2,6),(3,5),(4,9),(8,10)]=>2 [(1,6),(2,7),(3,5),(4,9),(8,10)]=>2 [(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)]=>1 [(1,2),(3,8),(4,6),(5,9),(7,10)]=>1 [(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)]=>2 [(1,7),(2,8),(3,5),(4,9),(6,10)]=>2 [(1,8),(2,7),(3,5),(4,9),(6,10)]=>2 [(1,9),(2,7),(3,5),(4,8),(6,10)]=>2 [(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)]=>2 [(1,8),(2,9),(3,5),(4,7),(6,10)]=>2 [(1,7),(2,9),(3,5),(4,8),(6,10)]=>2 [(1,6),(2,9),(3,5),(4,8),(7,10)]=>2 [(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)]=>1 [(1,2),(3,10),(4,6),(5,8),(7,9)]=>1 [(1,3),(2,10),(4,6),(5,8),(7,9)]=>1 [(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)]=>2 [(1,7),(2,10),(3,5),(4,8),(6,9)]=>2 [(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)]=>2 [(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)]=>1 [(1,3),(2,10),(4,5),(6,8),(7,9)]=>1 [(1,2),(3,10),(4,5),(6,8),(7,9)]=>1 [(1,2),(3,9),(4,5),(6,8),(7,10)]=>1 [(1,3),(2,9),(4,5),(6,8),(7,10)]=>1 [(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)]=>2 [(1,10),(2,7),(3,4),(5,8),(6,9)]=>2 [(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)]=>1 [(1,2),(3,8),(4,5),(6,9),(7,10)]=>1 [(1,2),(3,7),(4,5),(6,9),(8,10)]=>1 [(1,3),(2,7),(4,5),(6,9),(8,10)]=>1 [(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)]=>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)]=>2 [(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)]=>1 [(1,3),(2,6),(4,5),(7,9),(8,10)]=>1 [(1,2),(3,6),(4,5),(7,9),(8,10)]=>1 [(1,2),(3,5),(4,6),(7,9),(8,10)]=>0 [(1,3),(2,5),(4,6),(7,9),(8,10)]=>0 [(1,4),(2,5),(3,6),(7,9),(8,10)]=>0 [(1,5),(2,4),(3,6),(7,9),(8,10)]=>1 [(1,6),(2,4),(3,5),(7,9),(8,10)]=>1 [(1,7),(2,4),(3,5),(6,9),(8,10)]=>1 [(1,8),(2,4),(3,5),(6,9),(7,10)]=>1 [(1,9),(2,4),(3,5),(6,8),(7,10)]=>1 [(1,10),(2,4),(3,5),(6,8),(7,9)]=>1 [(1,10),(2,3),(4,5),(6,8),(7,9)]=>1 [(1,9),(2,3),(4,5),(6,8),(7,10)]=>1 [(1,8),(2,3),(4,5),(6,9),(7,10)]=>1 [(1,7),(2,3),(4,5),(6,9),(8,10)]=>1 [(1,6),(2,3),(4,5),(7,9),(8,10)]=>1 [(1,5),(2,3),(4,6),(7,9),(8,10)]=>1 [(1,4),(2,3),(5,6),(7,9),(8,10)]=>1 [(1,3),(2,4),(5,6),(7,9),(8,10)]=>0 [(1,2),(3,4),(5,6),(7,9),(8,10)]=>0 [(1,2),(3,4),(5,6),(7,10),(8,9)]=>1 [(1,3),(2,4),(5,6),(7,10),(8,9)]=>1 [(1,4),(2,3),(5,6),(7,10),(8,9)]=>1 [(1,5),(2,3),(4,6),(7,10),(8,9)]=>1 [(1,6),(2,3),(4,5),(7,10),(8,9)]=>1 [(1,7),(2,3),(4,5),(6,10),(8,9)]=>1 [(1,8),(2,3),(4,5),(6,10),(7,9)]=>1 [(1,9),(2,3),(4,5),(6,10),(7,8)]=>2 [(1,10),(2,3),(4,5),(6,9),(7,8)]=>2 [(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)]=>1 [(1,7),(2,4),(3,5),(6,10),(8,9)]=>1 [(1,6),(2,4),(3,5),(7,10),(8,9)]=>1 [(1,5),(2,4),(3,6),(7,10),(8,9)]=>1 [(1,4),(2,5),(3,6),(7,10),(8,9)]=>1 [(1,3),(2,5),(4,6),(7,10),(8,9)]=>1 [(1,2),(3,5),(4,6),(7,10),(8,9)]=>1 [(1,2),(3,6),(4,5),(7,10),(8,9)]=>1 [(1,3),(2,6),(4,5),(7,10),(8,9)]=>1 [(1,4),(2,6),(3,5),(7,10),(8,9)]=>1 [(1,5),(2,6),(3,4),(7,10),(8,9)]=>2 [(1,6),(2,5),(3,4),(7,10),(8,9)]=>2 [(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)]=>2 [(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)]=>2 [(1,5),(2,7),(3,4),(6,10),(8,9)]=>2 [(1,4),(2,7),(3,5),(6,10),(8,9)]=>1 [(1,3),(2,7),(4,5),(6,10),(8,9)]=>1 [(1,2),(3,7),(4,5),(6,10),(8,9)]=>1 [(1,2),(3,8),(4,5),(6,10),(7,9)]=>1 [(1,3),(2,8),(4,5),(6,10),(7,9)]=>1 [(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)]=>2 [(1,10),(2,8),(3,4),(5,9),(6,7)]=>3 [(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)]=>2 [(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)]=>2 [(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)]=>3 [(1,9),(2,10),(3,4),(5,8),(6,7)]=>3 [(1,10),(2,9),(3,4),(5,8),(6,7)]=>3 [(1,10),(2,9),(3,5),(4,8),(6,7)]=>3 [(1,9),(2,10),(3,5),(4,8),(6,7)]=>3 [(1,8),(2,10),(3,5),(4,9),(6,7)]=>3 [(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)]=>2 [(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)]=>2 [(1,6),(2,9),(3,5),(4,10),(7,8)]=>2 [(1,7),(2,9),(3,5),(4,10),(6,8)]=>2 [(1,8),(2,9),(3,5),(4,10),(6,7)]=>3 [(1,9),(2,8),(3,5),(4,10),(6,7)]=>3 [(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)]=>2 [(1,8),(2,7),(3,5),(4,10),(6,9)]=>2 [(1,7),(2,8),(3,5),(4,10),(6,9)]=>2 [(1,6),(2,8),(3,5),(4,10),(7,9)]=>2 [(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)]=>1 [(1,2),(3,7),(4,6),(5,10),(8,9)]=>1 [(1,3),(2,7),(4,6),(5,10),(8,9)]=>1 [(1,4),(2,7),(3,6),(5,10),(8,9)]=>1 [(1,5),(2,7),(3,6),(4,10),(8,9)]=>1 [(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)]=>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)]=>2 [(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)]=>1 [(1,6),(2,5),(3,7),(4,10),(8,9)]=>1 [(1,5),(2,6),(3,7),(4,10),(8,9)]=>1 [(1,4),(2,6),(3,7),(5,10),(8,9)]=>1 [(1,3),(2,6),(4,7),(5,10),(8,9)]=>1 [(1,2),(3,6),(4,7),(5,10),(8,9)]=>1 [(1,2),(3,5),(4,7),(6,10),(8,9)]=>1 [(1,3),(2,5),(4,7),(6,10),(8,9)]=>1 [(1,4),(2,5),(3,7),(6,10),(8,9)]=>1 [(1,5),(2,4),(3,7),(6,10),(8,9)]=>1 [(1,6),(2,4),(3,7),(5,10),(8,9)]=>1 [(1,7),(2,4),(3,6),(5,10),(8,9)]=>1 [(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)]=>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)]=>1 [(1,7),(2,3),(4,6),(5,10),(8,9)]=>1 [(1,6),(2,3),(4,7),(5,10),(8,9)]=>1 [(1,5),(2,3),(4,7),(6,10),(8,9)]=>1 [(1,4),(2,3),(5,7),(6,10),(8,9)]=>1 [(1,3),(2,4),(5,7),(6,10),(8,9)]=>1 [(1,2),(3,4),(5,7),(6,10),(8,9)]=>1 [(1,2),(3,4),(5,8),(6,10),(7,9)]=>1 [(1,3),(2,4),(5,8),(6,10),(7,9)]=>1 [(1,4),(2,3),(5,8),(6,10),(7,9)]=>1 [(1,5),(2,3),(4,8),(6,10),(7,9)]=>1 [(1,6),(2,3),(4,8),(5,10),(7,9)]=>1 [(1,7),(2,3),(4,8),(5,10),(6,9)]=>1 [(1,8),(2,3),(4,7),(5,10),(6,9)]=>1 [(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)]=>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)]=>1 [(1,2),(3,6),(4,8),(5,10),(7,9)]=>1 [(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)]=>2 [(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)]=>2 [(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)]=>1 [(1,2),(3,8),(4,7),(5,10),(6,9)]=>1 [(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)]=>2 [(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)]=>3 [(1,9),(2,8),(3,6),(4,10),(5,7)]=>3 [(1,8),(2,9),(3,6),(4,10),(5,7)]=>3 [(1,7),(2,9),(3,6),(4,10),(5,8)]=>2 [(1,6),(2,9),(3,7),(4,10),(5,8)]=>2 [(1,5),(2,9),(3,7),(4,10),(6,8)]=>2 [(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)]=>2 [(1,6),(2,10),(3,7),(4,9),(5,8)]=>2 [(1,7),(2,10),(3,6),(4,9),(5,8)]=>2 [(1,8),(2,10),(3,6),(4,9),(5,7)]=>3 [(1,9),(2,10),(3,6),(4,8),(5,7)]=>3 [(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)]=>4 [(1,8),(2,10),(3,7),(4,9),(5,6)]=>4 [(1,7),(2,10),(3,8),(4,9),(5,6)]=>4 [(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)]=>3 [(1,3),(2,10),(4,8),(5,9),(6,7)]=>3 [(1,2),(3,10),(4,8),(5,9),(6,7)]=>3 [(1,2),(3,9),(4,8),(5,10),(6,7)]=>3 [(1,3),(2,9),(4,8),(5,10),(6,7)]=>3 [(1,4),(2,9),(3,8),(5,10),(6,7)]=>3 [(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)]=>4 [(1,8),(2,9),(3,7),(4,10),(5,6)]=>4 [(1,9),(2,8),(3,7),(4,10),(5,6)]=>4 [(1,10),(2,8),(3,7),(4,9),(5,6)]=>4 [(1,10),(2,7),(3,8),(4,9),(5,6)]=>4 [(1,9),(2,7),(3,8),(4,10),(5,6)]=>4 [(1,8),(2,7),(3,9),(4,10),(5,6)]=>4 [(1,7),(2,8),(3,9),(4,10),(5,6)]=>4 [(1,6),(2,8),(3,9),(4,10),(5,7)]=>3 [(1,5),(2,8),(3,9),(4,10),(6,7)]=>3 [(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)]=>2 [(1,3),(2,7),(4,9),(5,10),(6,8)]=>2 [(1,4),(2,7),(3,9),(5,10),(6,8)]=>2 [(1,5),(2,7),(3,9),(4,10),(6,8)]=>2 [(1,6),(2,7),(3,9),(4,10),(5,8)]=>2 [(1,7),(2,6),(3,9),(4,10),(5,8)]=>2 [(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)]=>2 [(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)]=>2 [(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)]=>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)]=>2 [(1,8),(2,4),(3,9),(5,10),(6,7)]=>3 [(1,9),(2,4),(3,8),(5,10),(6,7)]=>3 [(1,10),(2,4),(3,8),(5,9),(6,7)]=>3 [(1,10),(2,3),(4,8),(5,9),(6,7)]=>3 [(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)]=>2 [(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)]=>2 [(1,3),(2,4),(5,10),(6,9),(7,8)]=>2 [(1,4),(2,3),(5,10),(6,9),(7,8)]=>2 [(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)]=>3 [(1,9),(2,3),(4,10),(5,8),(6,7)]=>3 [(1,10),(2,3),(4,9),(5,8),(6,7)]=>3 [(1,10),(2,4),(3,9),(5,8),(6,7)]=>3 [(1,9),(2,4),(3,10),(5,8),(6,7)]=>3 [(1,8),(2,4),(3,10),(5,9),(6,7)]=>3 [(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)]=>2 [(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)]=>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)]=>2 [(1,8),(2,5),(3,10),(4,9),(6,7)]=>3 [(1,9),(2,5),(3,10),(4,8),(6,7)]=>3 [(1,10),(2,5),(3,9),(4,8),(6,7)]=>3 [(1,10),(2,6),(3,9),(4,8),(5,7)]=>3 [(1,9),(2,6),(3,10),(4,8),(5,7)]=>3 [(1,8),(2,6),(3,10),(4,9),(5,7)]=>3 [(1,7),(2,6),(3,10),(4,9),(5,8)]=>2 [(1,6),(2,7),(3,10),(4,9),(5,8)]=>2 [(1,5),(2,7),(3,10),(4,9),(6,8)]=>2 [(1,4),(2,7),(3,10),(5,9),(6,8)]=>2 [(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)]=>3 [(1,3),(2,8),(4,10),(5,9),(6,7)]=>3 [(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)]=>4 [(1,8),(2,7),(3,10),(4,9),(5,6)]=>4 [(1,9),(2,7),(3,10),(4,8),(5,6)]=>4 [(1,10),(2,7),(3,9),(4,8),(5,6)]=>4 [(1,10),(2,8),(3,9),(4,7),(5,6)]=>4 [(1,9),(2,8),(3,10),(4,7),(5,6)]=>4 [(1,8),(2,9),(3,10),(4,7),(5,6)]=>4 [(1,7),(2,9),(3,10),(4,8),(5,6)]=>4 [(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)]=>3 [(1,2),(3,9),(4,10),(5,8),(6,7)]=>3 [(1,2),(3,10),(4,9),(5,8),(6,7)]=>3 [(1,3),(2,10),(4,9),(5,8),(6,7)]=>3 [(1,4),(2,10),(3,9),(5,8),(6,7)]=>3 [(1,5),(2,10),(3,9),(4,8),(6,7)]=>3 [(1,6),(2,10),(3,9),(4,8),(5,7)]=>3 [(1,7),(2,10),(3,9),(4,8),(5,6)]=>4 [(1,8),(2,10),(3,9),(4,7),(5,6)]=>4 [(1,9),(2,10),(3,8),(4,7),(5,6)]=>4 [(1,10),(2,9),(3,8),(4,7),(5,6)]=>4 [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)]=>5 [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>3 [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>3 [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>3 [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>3 [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>3 [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>1 [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>3 [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>3 [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>1 [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>3 [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>1 [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>3 [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>1 [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>3 [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>1 [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>1 [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>1 [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>1 [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>3 [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>1 [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>3 [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>3 [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>1 [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>2 [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>1 [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>2 [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>1 [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>3 [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>1 [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>2 [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>2 [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>1 [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>3 [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>1 [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>3 [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>1 [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>2 [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>2 [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>2 [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)]=>2 [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]=>2 [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>4 [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>2 [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>2 [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>2 [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>2 [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>2 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>0 [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>2 [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>2 [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>1 [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>2 [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>1 [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>2 [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>1 [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>4 [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>2 [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>2 [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>2 [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>2 [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>4 [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>2 [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>4 [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)]=>4 [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>2 [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>2 [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>2 [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>2 [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>2 [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>3 [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>1 [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>2 [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>2 [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>1 [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>3 [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>1 [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>3 [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>1 [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>2 [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>2 [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>2 [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)]=>2 [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>2 [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>4 [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>2 [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>2 [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>2 [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>2 [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>3 [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>1 [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>3 [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>3 [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>1 [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>2 [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>1 [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>2 [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>1 [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>4 [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>2 [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>2 [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>2 [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>2 [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>4 [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>2 [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)]=>4 [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]=>2 [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>2 [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>2 [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>2 [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)]=>2 [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)]=>2 [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>3 [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>1 [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>3 [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>3 [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>1 [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>3 [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>1 [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>3 [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]=>1 [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>3 [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>3 [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>2 [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)]=>3 [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)]=>2 [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)]=>3 [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)]=>2 [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)]=>3 [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)]=>2 [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)]=>3 [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)]=>2 [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]=>0 [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]=>0 [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]=>0 [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]=>0 [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]=>0 [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]=>0 [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]=>0 [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]=>0 [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]=>0 [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]=>0 [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]=>0 [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]=>0 [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]=>0 [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]=>0 [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]=>0 [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]=>0 [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]=>0 [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]=>0 [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]=>0 [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]=>0 [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]=>0 [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]=>0 [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]=>0 [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]=>0 [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]=>0 [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]=>0 [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]=>0 [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]=>0 [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]=>0 [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]=>0 [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]=>0 [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]=>0 [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]=>0 [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]=>0 [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]=>0 [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]=>0 [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)]=>0 [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]=>0 [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]=>0 [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)]=>0 [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)]=>0 [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]=>0 [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]=>0 [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]=>0 [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]=>0 [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]=>0 [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]=>0 [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]=>0 [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]=>0 [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]=>0 [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]=>0 [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]=>0 [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]=>0 [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)]=>0 [(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)]=>0 [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]=>0 [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]=>0 [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]=>0 [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]=>0 [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)]=>0 [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]=>0 [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]=>0 [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]=>0 [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]=>0 [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]=>0 [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]=>0 [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]=>0 [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]=>0 [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]=>0 [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]=>0 [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]=>0 [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]=>0 [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]=>0 [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]=>0 [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]=>0 [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]=>0 [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]=>0 [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]=>0 [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]=>0 [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]=>0 [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]=>0 [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]=>0 [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)]=>0 [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]=>0 [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]=>0 [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]=>0 [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)]=>0 [(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)]=>0 [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]=>0 [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]=>0 [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]=>0 [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]=>0 [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]=>0 [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]=>0 [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]=>0 [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]=>0 [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]=>0 [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]=>0 [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)]=>0 [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]=>0 [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]=>0 [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]=>0 [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]=>0 [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]=>0 [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]=>0 [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]=>0 [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]=>0 [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]=>0 [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]=>0 [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]=>0 [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]=>0 [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)]=>0 [(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)]=>0 [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]=>0 [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]=>0 [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]=>0 [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]=>0 [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]=>0 [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]=>0 [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]=>0 [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)]=>0 [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]=>0 [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]=>0 [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]=>0 [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]=>0 [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)]=>0 [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)]=>0 [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]=>0 [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]=>0 [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)]=>0 [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)]=>0 [(1,2),(3,14),(4,5),(6,13),(7,12),(8,11),(9,10)]=>4 [(1,2),(3,14),(4,13),(5,6),(7,12),(8,9),(10,11)]=>3 [(1,2),(3,14),(4,13),(5,6),(7,12),(8,11),(9,10)]=>4 [(1,2),(3,14),(4,13),(5,8),(6,7),(9,12),(10,11)]=>3 [(1,2),(3,14),(4,13),(5,10),(6,7),(8,9),(11,12)]=>3 [(1,2),(3,14),(4,13),(5,12),(6,7),(8,9),(10,11)]=>3 [(1,2),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10)]=>4 [(1,2),(3,14),(4,11),(5,10),(6,9),(7,8),(12,13)]=>4 [(1,2),(3,14),(4,13),(5,10),(6,9),(7,8),(11,12)]=>4 [(1,2),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11)]=>4 [(1,2),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10)]=>4 [(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9)]=>5 [(1,4),(2,3),(5,14),(6,13),(7,12),(8,11),(9,10)]=>4 [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8),(13,14)]=>4 [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9),(13,14)]=>3 [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8),(13,14)]=>4 [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9),(13,14)]=>3 [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10),(13,14)]=>3 [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9),(13,14)]=>3 [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8),(13,14)]=>4 [(1,10),(2,9),(3,8),(4,7),(5,6),(11,14),(12,13)]=>4 [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14)]=>4 [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10),(13,14)]=>4 [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9),(13,14)]=>4 [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,14)]=>4 [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14)]=>5 [(1,2),(3,16),(4,15),(5,14),(6,7),(8,13),(9,12),(10,11)]=>5 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)]=>4 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,12),(10,11)]=>5 [(1,2),(3,16),(4,15),(5,14),(6,11),(7,10),(8,9),(12,13)]=>5 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)]=>5 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)]=>5 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)]=>6 [(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9),(15,16)]=>5 [(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10),(15,16)]=>4 [(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9),(15,16)]=>5 [(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11),(15,16)]=>5 [(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10),(15,16)]=>5 [(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9),(15,16)]=>5 [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,16)]=>6 [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(17,18)]=>7 [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)]=>7 [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(17,18)]=>6 [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)]=>6 [(1,16),(2,15),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11),(17,18)]=>6 [(1,16),(2,15),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10),(17,18)]=>6 [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)]=>6 [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,9),(10,13),(11,12)]=>6 [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(19,20)]=>8 [(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)]=>8 [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11),(19,20)]=>7 [(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,11),(12,13)]=>7 [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(21,22)]=>9 [(1,2),(3,22),(4,21),(5,20),(6,19),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)]=>9 [(1,2),(3,4),(5,6),(7,9),(8,12),(10,11)]=>1 [(1,2),(3,4),(5,6),(7,10),(8,12),(9,11)]=>1 [(1,2),(3,4),(5,6),(7,11),(8,9),(10,12)]=>1 [(1,2),(3,4),(5,6),(7,11),(8,10),(9,12)]=>1 [(1,2),(3,4),(5,6),(7,11),(8,12),(9,10)]=>2 [(1,2),(3,4),(5,6),(7,12),(8,10),(9,11)]=>1 [(1,2),(3,4),(5,7),(6,8),(9,12),(10,11)]=>1 [(1,2),(3,4),(5,7),(6,9),(8,12),(10,11)]=>1 [(1,2),(3,4),(5,7),(6,10),(8,9),(11,12)]=>1 [(1,2),(3,4),(5,7),(6,10),(8,12),(9,11)]=>1 [(1,2),(3,4),(5,7),(6,11),(8,9),(10,12)]=>1 [(1,2),(3,4),(5,7),(6,11),(8,10),(9,12)]=>1 [(1,2),(3,4),(5,7),(6,11),(8,12),(9,10)]=>2 [(1,2),(3,4),(5,7),(6,12),(8,9),(10,11)]=>1 [(1,2),(3,4),(5,7),(6,12),(8,10),(9,11)]=>1 [(1,2),(3,4),(5,7),(6,12),(8,11),(9,10)]=>2 [(1,2),(3,4),(5,8),(6,7),(9,11),(10,12)]=>1 [(1,2),(3,4),(5,8),(6,9),(7,12),(10,11)]=>1 [(1,2),(3,4),(5,8),(6,10),(7,9),(11,12)]=>1 [(1,2),(3,4),(5,8),(6,10),(7,12),(9,11)]=>1 [(1,2),(3,4),(5,8),(6,11),(7,9),(10,12)]=>1 [(1,2),(3,4),(5,8),(6,11),(7,10),(9,12)]=>1 [(1,2),(3,4),(5,8),(6,11),(7,12),(9,10)]=>2 [(1,2),(3,4),(5,8),(6,12),(7,9),(10,11)]=>1 [(1,2),(3,4),(5,8),(6,12),(7,10),(9,11)]=>1 [(1,2),(3,4),(5,8),(6,12),(7,11),(9,10)]=>2 [(1,2),(3,4),(5,9),(6,7),(8,10),(11,12)]=>1 [(1,2),(3,4),(5,9),(6,7),(8,11),(10,12)]=>1 [(1,2),(3,4),(5,9),(6,7),(8,12),(10,11)]=>1 [(1,2),(3,4),(5,9),(6,8),(7,10),(11,12)]=>1 [(1,2),(3,4),(5,9),(6,8),(7,11),(10,12)]=>1 [(1,2),(3,4),(5,9),(6,8),(7,12),(10,11)]=>1 [(1,2),(3,4),(5,9),(6,10),(7,8),(11,12)]=>2 [(1,2),(3,4),(5,9),(6,10),(7,12),(8,11)]=>1 [(1,2),(3,4),(5,9),(6,11),(7,8),(10,12)]=>2 [(1,2),(3,4),(5,9),(6,11),(7,10),(8,12)]=>1 [(1,2),(3,4),(5,9),(6,11),(7,12),(8,10)]=>2 [(1,2),(3,4),(5,9),(6,12),(7,8),(10,11)]=>2 [(1,2),(3,4),(5,9),(6,12),(7,10),(8,11)]=>1 [(1,2),(3,4),(5,9),(6,12),(7,11),(8,10)]=>2 [(1,2),(3,4),(5,10),(6,7),(8,11),(9,12)]=>1 [(1,2),(3,4),(5,10),(6,7),(8,12),(9,11)]=>1 [(1,2),(3,4),(5,10),(6,8),(7,9),(11,12)]=>1 [(1,2),(3,4),(5,10),(6,8),(7,11),(9,12)]=>1 [(1,2),(3,4),(5,10),(6,8),(7,12),(9,11)]=>1 [(1,2),(3,4),(5,10),(6,9),(7,11),(8,12)]=>1 [(1,2),(3,4),(5,10),(6,9),(7,12),(8,11)]=>1 [(1,2),(3,4),(5,10),(6,11),(7,8),(9,12)]=>2 [(1,2),(3,4),(5,10),(6,11),(7,9),(8,12)]=>2 [(1,2),(3,4),(5,10),(6,11),(7,12),(8,9)]=>3 [(1,2),(3,4),(5,10),(6,12),(7,8),(9,11)]=>2 [(1,2),(3,4),(5,10),(6,12),(7,9),(8,11)]=>2 [(1,2),(3,4),(5,10),(6,12),(7,11),(8,9)]=>3 [(1,2),(3,4),(5,11),(6,7),(8,9),(10,12)]=>1 [(1,2),(3,4),(5,11),(6,7),(8,10),(9,12)]=>1 [(1,2),(3,4),(5,11),(6,7),(8,12),(9,10)]=>2 [(1,2),(3,4),(5,11),(6,8),(7,9),(10,12)]=>1 [(1,2),(3,4),(5,11),(6,8),(7,10),(9,12)]=>1 [(1,2),(3,4),(5,11),(6,8),(7,12),(9,10)]=>2 [(1,2),(3,4),(5,11),(6,9),(7,8),(10,12)]=>2 [(1,2),(3,4),(5,11),(6,9),(7,10),(8,12)]=>1 [(1,2),(3,4),(5,11),(6,9),(7,12),(8,10)]=>2 [(1,2),(3,4),(5,11),(6,10),(7,8),(9,12)]=>2 [(1,2),(3,4),(5,11),(6,10),(7,9),(8,12)]=>2 [(1,2),(3,4),(5,11),(6,10),(7,12),(8,9)]=>3 [(1,2),(3,4),(5,11),(6,12),(7,8),(9,10)]=>2 [(1,2),(3,4),(5,11),(6,12),(7,9),(8,10)]=>2 [(1,2),(3,4),(5,11),(6,12),(7,10),(8,9)]=>3 [(1,2),(3,4),(5,12),(6,7),(8,10),(9,11)]=>1 [(1,2),(3,4),(5,12),(6,8),(7,9),(10,11)]=>1 [(1,2),(3,4),(5,12),(6,8),(7,10),(9,11)]=>1 [(1,2),(3,4),(5,12),(6,8),(7,11),(9,10)]=>2 [(1,2),(3,4),(5,12),(6,9),(7,10),(8,11)]=>1 [(1,2),(3,4),(5,12),(6,9),(7,11),(8,10)]=>2 [(1,2),(3,4),(5,12),(6,10),(7,8),(9,11)]=>2 [(1,2),(3,4),(5,12),(6,10),(7,9),(8,11)]=>2 [(1,2),(3,4),(5,12),(6,10),(7,11),(8,9)]=>3 [(1,2),(3,4),(5,12),(6,11),(7,9),(8,10)]=>2 [(1,2),(3,5),(4,6),(7,8),(9,12),(10,11)]=>1 [(1,2),(3,5),(4,6),(7,9),(8,12),(10,11)]=>1 [(1,2),(3,5),(4,6),(7,10),(8,9),(11,12)]=>1 [(1,2),(3,5),(4,6),(7,10),(8,12),(9,11)]=>1 [(1,2),(3,5),(4,6),(7,11),(8,9),(10,12)]=>1 [(1,2),(3,5),(4,6),(7,11),(8,10),(9,12)]=>1 [(1,2),(3,5),(4,6),(7,11),(8,12),(9,10)]=>2 [(1,2),(3,5),(4,6),(7,12),(8,9),(10,11)]=>1 [(1,2),(3,5),(4,6),(7,12),(8,10),(9,11)]=>1 [(1,2),(3,5),(4,6),(7,12),(8,11),(9,10)]=>2 [(1,2),(3,5),(4,7),(6,8),(9,12),(10,11)]=>1 [(1,2),(3,5),(4,7),(6,9),(8,12),(10,11)]=>1 [(1,2),(3,5),(4,7),(6,10),(8,9),(11,12)]=>1 [(1,2),(3,5),(4,7),(6,10),(8,12),(9,11)]=>1 [(1,2),(3,5),(4,7),(6,11),(8,9),(10,12)]=>1 [(1,2),(3,5),(4,7),(6,11),(8,10),(9,12)]=>1
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Description
The maximal number of arcs nesting a given arc of a perfect matching.
This is also the largest weight of a down step in the histoire d'Hermite corresponding to the perfect matching.
Code
def statistic(m):
    w = 0
    active = []
    for i in range(1,m.size()+1):
        j = m.partner(i)
        if j < i:
            # i is a closer, j its opener
            w = max(w, len([1 for o in active if o < j]))
            active.remove(j)
        else:
            # i is an opener
            active.append(i)
    return w
Created
Nov 13, 2017 at 02:33 by Martin Rubey
Updated
May 14, 2018 at 21:07 by Martin Rubey