edit this statistic or download as text // json
Identifier
Values
=>
Cc0012;cc-rep
[(1,2)]=>1 [(1,2),(3,4)]=>2 [(1,3),(2,4)]=>1 [(1,4),(2,3)]=>1 [(1,2),(3,4),(5,6)]=>3 [(1,3),(2,4),(5,6)]=>2 [(1,4),(2,3),(5,6)]=>2 [(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)]=>1 [(1,3),(2,5),(4,6)]=>1 [(1,2),(3,5),(4,6)]=>2 [(1,2),(3,6),(4,5)]=>2 [(1,3),(2,6),(4,5)]=>1 [(1,4),(2,6),(3,5)]=>1 [(1,5),(2,6),(3,4)]=>1 [(1,6),(2,5),(3,4)]=>1 [(1,2),(3,4),(5,6),(7,8)]=>4 [(1,3),(2,4),(5,6),(7,8)]=>3 [(1,4),(2,3),(5,6),(7,8)]=>3 [(1,5),(2,3),(4,6),(7,8)]=>2 [(1,6),(2,3),(4,5),(7,8)]=>2 [(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)]=>2 [(1,5),(2,4),(3,6),(7,8)]=>2 [(1,4),(2,5),(3,6),(7,8)]=>2 [(1,3),(2,5),(4,6),(7,8)]=>2 [(1,2),(3,5),(4,6),(7,8)]=>3 [(1,2),(3,6),(4,5),(7,8)]=>3 [(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)]=>2 [(1,7),(2,5),(3,4),(6,8)]=>1 [(1,8),(2,5),(3,4),(6,7)]=>1 [(1,8),(2,6),(3,4),(5,7)]=>1 [(1,7),(2,6),(3,4),(5,8)]=>1 [(1,6),(2,7),(3,4),(5,8)]=>1 [(1,5),(2,7),(3,4),(6,8)]=>1 [(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)]=>2 [(1,2),(3,8),(4,5),(6,7)]=>2 [(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)]=>1 [(1,6),(2,8),(3,4),(5,7)]=>1 [(1,7),(2,8),(3,4),(5,6)]=>1 [(1,8),(2,7),(3,4),(5,6)]=>1 [(1,8),(2,7),(3,5),(4,6)]=>1 [(1,7),(2,8),(3,5),(4,6)]=>1 [(1,6),(2,8),(3,5),(4,7)]=>1 [(1,5),(2,8),(3,6),(4,7)]=>1 [(1,4),(2,8),(3,6),(5,7)]=>1 [(1,3),(2,8),(4,6),(5,7)]=>1 [(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)]=>1 [(1,4),(2,7),(3,6),(5,8)]=>1 [(1,5),(2,7),(3,6),(4,8)]=>1 [(1,6),(2,7),(3,5),(4,8)]=>1 [(1,7),(2,6),(3,5),(4,8)]=>1 [(1,8),(2,6),(3,5),(4,7)]=>1 [(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)]=>1 [(1,4),(2,6),(3,7),(5,8)]=>1 [(1,3),(2,6),(4,7),(5,8)]=>1 [(1,2),(3,6),(4,7),(5,8)]=>2 [(1,2),(3,5),(4,7),(6,8)]=>2 [(1,3),(2,5),(4,7),(6,8)]=>1 [(1,4),(2,5),(3,7),(6,8)]=>1 [(1,5),(2,4),(3,7),(6,8)]=>1 [(1,6),(2,4),(3,7),(5,8)]=>1 [(1,7),(2,4),(3,6),(5,8)]=>1 [(1,8),(2,4),(3,6),(5,7)]=>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)]=>2 [(1,3),(2,4),(5,7),(6,8)]=>2 [(1,2),(3,4),(5,7),(6,8)]=>3 [(1,2),(3,4),(5,8),(6,7)]=>3 [(1,3),(2,4),(5,8),(6,7)]=>2 [(1,4),(2,3),(5,8),(6,7)]=>2 [(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)]=>1 [(1,8),(2,3),(4,7),(5,6)]=>1 [(1,8),(2,4),(3,7),(5,6)]=>1 [(1,7),(2,4),(3,8),(5,6)]=>1 [(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)]=>2 [(1,2),(3,6),(4,8),(5,7)]=>2 [(1,3),(2,6),(4,8),(5,7)]=>1 [(1,4),(2,6),(3,8),(5,7)]=>1 [(1,5),(2,6),(3,8),(4,7)]=>1 [(1,6),(2,5),(3,8),(4,7)]=>1 [(1,7),(2,5),(3,8),(4,6)]=>1 [(1,8),(2,5),(3,7),(4,6)]=>1 [(1,8),(2,6),(3,7),(4,5)]=>1 [(1,7),(2,6),(3,8),(4,5)]=>1 [(1,6),(2,7),(3,8),(4,5)]=>1 [(1,5),(2,7),(3,8),(4,6)]=>1 [(1,4),(2,7),(3,8),(5,6)]=>1 [(1,3),(2,7),(4,8),(5,6)]=>1 [(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)]=>1 [(1,4),(2,8),(3,7),(5,6)]=>1 [(1,5),(2,8),(3,7),(4,6)]=>1 [(1,6),(2,8),(3,7),(4,5)]=>1 [(1,7),(2,8),(3,6),(4,5)]=>1 [(1,8),(2,7),(3,6),(4,5)]=>1 [(1,2),(3,4),(5,6),(7,8),(9,10)]=>5 [(1,3),(2,4),(5,6),(7,8),(9,10)]=>4 [(1,4),(2,3),(5,6),(7,8),(9,10)]=>4 [(1,5),(2,3),(4,6),(7,8),(9,10)]=>3 [(1,6),(2,3),(4,5),(7,8),(9,10)]=>3 [(1,7),(2,3),(4,5),(6,8),(9,10)]=>2 [(1,8),(2,3),(4,5),(6,7),(9,10)]=>2 [(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)]=>2 [(1,7),(2,4),(3,5),(6,8),(9,10)]=>2 [(1,6),(2,4),(3,5),(7,8),(9,10)]=>3 [(1,5),(2,4),(3,6),(7,8),(9,10)]=>3 [(1,4),(2,5),(3,6),(7,8),(9,10)]=>3 [(1,3),(2,5),(4,6),(7,8),(9,10)]=>3 [(1,2),(3,5),(4,6),(7,8),(9,10)]=>4 [(1,2),(3,6),(4,5),(7,8),(9,10)]=>4 [(1,3),(2,6),(4,5),(7,8),(9,10)]=>3 [(1,4),(2,6),(3,5),(7,8),(9,10)]=>3 [(1,5),(2,6),(3,4),(7,8),(9,10)]=>3 [(1,6),(2,5),(3,4),(7,8),(9,10)]=>3 [(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)]=>1 [(1,10),(2,5),(3,4),(6,7),(8,9)]=>1 [(1,10),(2,6),(3,4),(5,7),(8,9)]=>1 [(1,9),(2,6),(3,4),(5,7),(8,10)]=>1 [(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)]=>2 [(1,3),(2,7),(4,5),(6,8),(9,10)]=>2 [(1,2),(3,7),(4,5),(6,8),(9,10)]=>3 [(1,2),(3,8),(4,5),(6,7),(9,10)]=>3 [(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)]=>2 [(1,9),(2,7),(3,4),(5,6),(8,10)]=>1 [(1,10),(2,7),(3,4),(5,6),(8,9)]=>1 [(1,10),(2,8),(3,4),(5,6),(7,9)]=>1 [(1,9),(2,8),(3,4),(5,6),(7,10)]=>1 [(1,8),(2,9),(3,4),(5,6),(7,10)]=>1 [(1,7),(2,9),(3,4),(5,6),(8,10)]=>1 [(1,6),(2,9),(3,4),(5,7),(8,10)]=>1 [(1,5),(2,9),(3,4),(6,7),(8,10)]=>1 [(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)]=>2 [(1,2),(3,10),(4,5),(6,7),(8,9)]=>2 [(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)]=>1 [(1,6),(2,10),(3,4),(5,7),(8,9)]=>1 [(1,7),(2,10),(3,4),(5,6),(8,9)]=>1 [(1,8),(2,10),(3,4),(5,6),(7,9)]=>1 [(1,9),(2,10),(3,4),(5,6),(7,8)]=>1 [(1,10),(2,9),(3,4),(5,6),(7,8)]=>1 [(1,10),(2,9),(3,5),(4,6),(7,8)]=>1 [(1,9),(2,10),(3,5),(4,6),(7,8)]=>1 [(1,8),(2,10),(3,5),(4,6),(7,9)]=>1 [(1,7),(2,10),(3,5),(4,6),(8,9)]=>1 [(1,6),(2,10),(3,5),(4,7),(8,9)]=>1 [(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)]=>2 [(1,2),(3,9),(4,6),(5,7),(8,10)]=>2 [(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)]=>1 [(1,7),(2,9),(3,5),(4,6),(8,10)]=>1 [(1,8),(2,9),(3,5),(4,6),(7,10)]=>1 [(1,9),(2,8),(3,5),(4,6),(7,10)]=>1 [(1,10),(2,8),(3,5),(4,6),(7,9)]=>1 [(1,10),(2,7),(3,5),(4,6),(8,9)]=>1 [(1,9),(2,7),(3,5),(4,6),(8,10)]=>1 [(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)]=>2 [(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)]=>3 [(1,2),(3,7),(4,6),(5,8),(9,10)]=>3 [(1,3),(2,7),(4,6),(5,8),(9,10)]=>2 [(1,4),(2,7),(3,6),(5,8),(9,10)]=>2 [(1,5),(2,7),(3,6),(4,8),(9,10)]=>2 [(1,6),(2,7),(3,5),(4,8),(9,10)]=>2 [(1,7),(2,6),(3,5),(4,8),(9,10)]=>2 [(1,8),(2,6),(3,5),(4,7),(9,10)]=>2 [(1,9),(2,6),(3,5),(4,7),(8,10)]=>1 [(1,10),(2,6),(3,5),(4,7),(8,9)]=>1 [(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)]=>2 [(1,7),(2,5),(3,6),(4,8),(9,10)]=>2 [(1,6),(2,5),(3,7),(4,8),(9,10)]=>2 [(1,5),(2,6),(3,7),(4,8),(9,10)]=>2 [(1,4),(2,6),(3,7),(5,8),(9,10)]=>2 [(1,3),(2,6),(4,7),(5,8),(9,10)]=>2 [(1,2),(3,6),(4,7),(5,8),(9,10)]=>3 [(1,2),(3,5),(4,7),(6,8),(9,10)]=>3 [(1,3),(2,5),(4,7),(6,8),(9,10)]=>2 [(1,4),(2,5),(3,7),(6,8),(9,10)]=>2 [(1,5),(2,4),(3,7),(6,8),(9,10)]=>2 [(1,6),(2,4),(3,7),(5,8),(9,10)]=>2 [(1,7),(2,4),(3,6),(5,8),(9,10)]=>2 [(1,8),(2,4),(3,6),(5,7),(9,10)]=>2 [(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)]=>2 [(1,7),(2,3),(4,6),(5,8),(9,10)]=>2 [(1,6),(2,3),(4,7),(5,8),(9,10)]=>2 [(1,5),(2,3),(4,7),(6,8),(9,10)]=>2 [(1,4),(2,3),(5,7),(6,8),(9,10)]=>3 [(1,3),(2,4),(5,7),(6,8),(9,10)]=>3 [(1,2),(3,4),(5,7),(6,8),(9,10)]=>4 [(1,2),(3,4),(5,8),(6,7),(9,10)]=>4 [(1,3),(2,4),(5,8),(6,7),(9,10)]=>3 [(1,4),(2,3),(5,8),(6,7),(9,10)]=>3 [(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)]=>2 [(1,9),(2,3),(4,7),(5,6),(8,10)]=>1 [(1,10),(2,3),(4,7),(5,6),(8,9)]=>1 [(1,10),(2,4),(3,7),(5,6),(8,9)]=>1 [(1,9),(2,4),(3,7),(5,6),(8,10)]=>1 [(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)]=>2 [(1,3),(2,5),(4,8),(6,7),(9,10)]=>2 [(1,2),(3,5),(4,8),(6,7),(9,10)]=>3 [(1,2),(3,6),(4,8),(5,7),(9,10)]=>3 [(1,3),(2,6),(4,8),(5,7),(9,10)]=>2 [(1,4),(2,6),(3,8),(5,7),(9,10)]=>2 [(1,5),(2,6),(3,8),(4,7),(9,10)]=>2 [(1,6),(2,5),(3,8),(4,7),(9,10)]=>2 [(1,7),(2,5),(3,8),(4,6),(9,10)]=>2 [(1,8),(2,5),(3,7),(4,6),(9,10)]=>2 [(1,9),(2,5),(3,7),(4,6),(8,10)]=>1 [(1,10),(2,5),(3,7),(4,6),(8,9)]=>1 [(1,10),(2,6),(3,7),(4,5),(8,9)]=>1 [(1,9),(2,6),(3,7),(4,5),(8,10)]=>1 [(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)]=>2 [(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)]=>3 [(1,2),(3,8),(4,7),(5,6),(9,10)]=>3 [(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)]=>2 [(1,9),(2,7),(3,6),(4,5),(8,10)]=>1 [(1,10),(2,7),(3,6),(4,5),(8,9)]=>1 [(1,10),(2,8),(3,6),(4,5),(7,9)]=>1 [(1,9),(2,8),(3,6),(4,5),(7,10)]=>1 [(1,8),(2,9),(3,6),(4,5),(7,10)]=>1 [(1,7),(2,9),(3,6),(4,5),(8,10)]=>1 [(1,6),(2,9),(3,7),(4,5),(8,10)]=>1 [(1,5),(2,9),(3,7),(4,6),(8,10)]=>1 [(1,4),(2,9),(3,7),(5,6),(8,10)]=>1 [(1,3),(2,9),(4,7),(5,6),(8,10)]=>1 [(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)]=>1 [(1,4),(2,10),(3,7),(5,6),(8,9)]=>1 [(1,5),(2,10),(3,7),(4,6),(8,9)]=>1 [(1,6),(2,10),(3,7),(4,5),(8,9)]=>1 [(1,7),(2,10),(3,6),(4,5),(8,9)]=>1 [(1,8),(2,10),(3,6),(4,5),(7,9)]=>1 [(1,9),(2,10),(3,6),(4,5),(7,8)]=>1 [(1,10),(2,9),(3,6),(4,5),(7,8)]=>1 [(1,10),(2,9),(3,7),(4,5),(6,8)]=>1 [(1,9),(2,10),(3,7),(4,5),(6,8)]=>1 [(1,8),(2,10),(3,7),(4,5),(6,9)]=>1 [(1,7),(2,10),(3,8),(4,5),(6,9)]=>1 [(1,6),(2,10),(3,8),(4,5),(7,9)]=>1 [(1,5),(2,10),(3,8),(4,6),(7,9)]=>1 [(1,4),(2,10),(3,8),(5,6),(7,9)]=>1 [(1,3),(2,10),(4,8),(5,6),(7,9)]=>1 [(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)]=>1 [(1,4),(2,9),(3,8),(5,6),(7,10)]=>1 [(1,5),(2,9),(3,8),(4,6),(7,10)]=>1 [(1,6),(2,9),(3,8),(4,5),(7,10)]=>1 [(1,7),(2,9),(3,8),(4,5),(6,10)]=>1 [(1,8),(2,9),(3,7),(4,5),(6,10)]=>1 [(1,9),(2,8),(3,7),(4,5),(6,10)]=>1 [(1,10),(2,8),(3,7),(4,5),(6,9)]=>1 [(1,10),(2,7),(3,8),(4,5),(6,9)]=>1 [(1,9),(2,7),(3,8),(4,5),(6,10)]=>1 [(1,8),(2,7),(3,9),(4,5),(6,10)]=>1 [(1,7),(2,8),(3,9),(4,5),(6,10)]=>1 [(1,6),(2,8),(3,9),(4,5),(7,10)]=>1 [(1,5),(2,8),(3,9),(4,6),(7,10)]=>1 [(1,4),(2,8),(3,9),(5,6),(7,10)]=>1 [(1,3),(2,8),(4,9),(5,6),(7,10)]=>1 [(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)]=>1 [(1,4),(2,7),(3,9),(5,6),(8,10)]=>1 [(1,5),(2,7),(3,9),(4,6),(8,10)]=>1 [(1,6),(2,7),(3,9),(4,5),(8,10)]=>1 [(1,7),(2,6),(3,9),(4,5),(8,10)]=>1 [(1,8),(2,6),(3,9),(4,5),(7,10)]=>1 [(1,9),(2,6),(3,8),(4,5),(7,10)]=>1 [(1,10),(2,6),(3,8),(4,5),(7,9)]=>1 [(1,10),(2,5),(3,8),(4,6),(7,9)]=>1 [(1,9),(2,5),(3,8),(4,6),(7,10)]=>1 [(1,8),(2,5),(3,9),(4,6),(7,10)]=>1 [(1,7),(2,5),(3,9),(4,6),(8,10)]=>1 [(1,6),(2,5),(3,9),(4,7),(8,10)]=>1 [(1,5),(2,6),(3,9),(4,7),(8,10)]=>1 [(1,4),(2,6),(3,9),(5,7),(8,10)]=>1 [(1,3),(2,6),(4,9),(5,7),(8,10)]=>1 [(1,2),(3,6),(4,9),(5,7),(8,10)]=>2 [(1,2),(3,5),(4,9),(6,7),(8,10)]=>2 [(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)]=>1 [(1,8),(2,4),(3,9),(5,6),(7,10)]=>1 [(1,9),(2,4),(3,8),(5,6),(7,10)]=>1 [(1,10),(2,4),(3,8),(5,6),(7,9)]=>1 [(1,10),(2,3),(4,8),(5,6),(7,9)]=>1 [(1,9),(2,3),(4,8),(5,6),(7,10)]=>1 [(1,8),(2,3),(4,9),(5,6),(7,10)]=>1 [(1,7),(2,3),(4,9),(5,6),(8,10)]=>1 [(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)]=>2 [(1,3),(2,4),(5,9),(6,7),(8,10)]=>2 [(1,2),(3,4),(5,9),(6,7),(8,10)]=>3 [(1,2),(3,4),(5,10),(6,7),(8,9)]=>3 [(1,3),(2,4),(5,10),(6,7),(8,9)]=>2 [(1,4),(2,3),(5,10),(6,7),(8,9)]=>2 [(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)]=>1 [(1,8),(2,3),(4,10),(5,6),(7,9)]=>1 [(1,9),(2,3),(4,10),(5,6),(7,8)]=>1 [(1,10),(2,3),(4,9),(5,6),(7,8)]=>1 [(1,10),(2,4),(3,9),(5,6),(7,8)]=>1 [(1,9),(2,4),(3,10),(5,6),(7,8)]=>1 [(1,8),(2,4),(3,10),(5,6),(7,9)]=>1 [(1,7),(2,4),(3,10),(5,6),(8,9)]=>1 [(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)]=>2 [(1,2),(3,6),(4,10),(5,7),(8,9)]=>2 [(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)]=>1 [(1,8),(2,5),(3,10),(4,6),(7,9)]=>1 [(1,9),(2,5),(3,10),(4,6),(7,8)]=>1 [(1,10),(2,5),(3,9),(4,6),(7,8)]=>1 [(1,10),(2,6),(3,9),(4,5),(7,8)]=>1 [(1,9),(2,6),(3,10),(4,5),(7,8)]=>1 [(1,8),(2,6),(3,10),(4,5),(7,9)]=>1 [(1,7),(2,6),(3,10),(4,5),(8,9)]=>1 [(1,6),(2,7),(3,10),(4,5),(8,9)]=>1 [(1,5),(2,7),(3,10),(4,6),(8,9)]=>1 [(1,4),(2,7),(3,10),(5,6),(8,9)]=>1 [(1,3),(2,7),(4,10),(5,6),(8,9)]=>1 [(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)]=>1 [(1,4),(2,8),(3,10),(5,6),(7,9)]=>1 [(1,5),(2,8),(3,10),(4,6),(7,9)]=>1 [(1,6),(2,8),(3,10),(4,5),(7,9)]=>1 [(1,7),(2,8),(3,10),(4,5),(6,9)]=>1 [(1,8),(2,7),(3,10),(4,5),(6,9)]=>1 [(1,9),(2,7),(3,10),(4,5),(6,8)]=>1 [(1,10),(2,7),(3,9),(4,5),(6,8)]=>1 [(1,10),(2,8),(3,9),(4,5),(6,7)]=>1 [(1,9),(2,8),(3,10),(4,5),(6,7)]=>1 [(1,8),(2,9),(3,10),(4,5),(6,7)]=>1 [(1,7),(2,9),(3,10),(4,5),(6,8)]=>1 [(1,6),(2,9),(3,10),(4,5),(7,8)]=>1 [(1,5),(2,9),(3,10),(4,6),(7,8)]=>1 [(1,4),(2,9),(3,10),(5,6),(7,8)]=>1 [(1,3),(2,9),(4,10),(5,6),(7,8)]=>1 [(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)]=>1 [(1,4),(2,10),(3,9),(5,6),(7,8)]=>1 [(1,5),(2,10),(3,9),(4,6),(7,8)]=>1 [(1,6),(2,10),(3,9),(4,5),(7,8)]=>1 [(1,7),(2,10),(3,9),(4,5),(6,8)]=>1 [(1,8),(2,10),(3,9),(4,5),(6,7)]=>1 [(1,9),(2,10),(3,8),(4,5),(6,7)]=>1 [(1,10),(2,9),(3,8),(4,5),(6,7)]=>1 [(1,10),(2,9),(3,8),(4,6),(5,7)]=>1 [(1,9),(2,10),(3,8),(4,6),(5,7)]=>1 [(1,8),(2,10),(3,9),(4,6),(5,7)]=>1 [(1,7),(2,10),(3,9),(4,6),(5,8)]=>1 [(1,6),(2,10),(3,9),(4,7),(5,8)]=>1 [(1,5),(2,10),(3,9),(4,7),(6,8)]=>1 [(1,4),(2,10),(3,9),(5,7),(6,8)]=>1 [(1,3),(2,10),(4,9),(5,7),(6,8)]=>1 [(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)]=>1 [(1,4),(2,9),(3,10),(5,7),(6,8)]=>1 [(1,5),(2,9),(3,10),(4,7),(6,8)]=>1 [(1,6),(2,9),(3,10),(4,7),(5,8)]=>1 [(1,7),(2,9),(3,10),(4,6),(5,8)]=>1 [(1,8),(2,9),(3,10),(4,6),(5,7)]=>1 [(1,9),(2,8),(3,10),(4,6),(5,7)]=>1 [(1,10),(2,8),(3,9),(4,6),(5,7)]=>1 [(1,10),(2,7),(3,9),(4,6),(5,8)]=>1 [(1,9),(2,7),(3,10),(4,6),(5,8)]=>1 [(1,8),(2,7),(3,10),(4,6),(5,9)]=>1 [(1,7),(2,8),(3,10),(4,6),(5,9)]=>1 [(1,6),(2,8),(3,10),(4,7),(5,9)]=>1 [(1,5),(2,8),(3,10),(4,7),(6,9)]=>1 [(1,4),(2,8),(3,10),(5,7),(6,9)]=>1 [(1,3),(2,8),(4,10),(5,7),(6,9)]=>1 [(1,2),(3,8),(4,10),(5,7),(6,9)]=>2 [(1,2),(3,7),(4,10),(5,8),(6,9)]=>2 [(1,3),(2,7),(4,10),(5,8),(6,9)]=>1 [(1,4),(2,7),(3,10),(5,8),(6,9)]=>1 [(1,5),(2,7),(3,10),(4,8),(6,9)]=>1 [(1,6),(2,7),(3,10),(4,8),(5,9)]=>1 [(1,7),(2,6),(3,10),(4,8),(5,9)]=>1 [(1,8),(2,6),(3,10),(4,7),(5,9)]=>1 [(1,9),(2,6),(3,10),(4,7),(5,8)]=>1 [(1,10),(2,6),(3,9),(4,7),(5,8)]=>1 [(1,10),(2,5),(3,9),(4,7),(6,8)]=>1 [(1,9),(2,5),(3,10),(4,7),(6,8)]=>1 [(1,8),(2,5),(3,10),(4,7),(6,9)]=>1 [(1,7),(2,5),(3,10),(4,8),(6,9)]=>1 [(1,6),(2,5),(3,10),(4,8),(7,9)]=>1 [(1,5),(2,6),(3,10),(4,8),(7,9)]=>1 [(1,4),(2,6),(3,10),(5,8),(7,9)]=>1 [(1,3),(2,6),(4,10),(5,8),(7,9)]=>1 [(1,2),(3,6),(4,10),(5,8),(7,9)]=>2 [(1,2),(3,5),(4,10),(6,8),(7,9)]=>2 [(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)]=>1 [(1,9),(2,4),(3,10),(5,7),(6,8)]=>1 [(1,10),(2,4),(3,9),(5,7),(6,8)]=>1 [(1,10),(2,3),(4,9),(5,7),(6,8)]=>1 [(1,9),(2,3),(4,10),(5,7),(6,8)]=>1 [(1,8),(2,3),(4,10),(5,7),(6,9)]=>1 [(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)]=>2 [(1,3),(2,4),(5,10),(6,8),(7,9)]=>2 [(1,2),(3,4),(5,10),(6,8),(7,9)]=>3 [(1,2),(3,4),(5,9),(6,8),(7,10)]=>3 [(1,3),(2,4),(5,9),(6,8),(7,10)]=>2 [(1,4),(2,3),(5,9),(6,8),(7,10)]=>2 [(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)]=>1 [(1,9),(2,3),(4,8),(5,7),(6,10)]=>1 [(1,10),(2,3),(4,8),(5,7),(6,9)]=>1 [(1,10),(2,4),(3,8),(5,7),(6,9)]=>1 [(1,9),(2,4),(3,8),(5,7),(6,10)]=>1 [(1,8),(2,4),(3,9),(5,7),(6,10)]=>1 [(1,7),(2,4),(3,9),(5,8),(6,10)]=>1 [(1,6),(2,4),(3,9),(5,8),(7,10)]=>1 [(1,5),(2,4),(3,9),(6,8),(7,10)]=>1 [(1,4),(2,5),(3,9),(6,8),(7,10)]=>1 [(1,3),(2,5),(4,9),(6,8),(7,10)]=>1 [(1,2),(3,5),(4,9),(6,8),(7,10)]=>2 [(1,2),(3,6),(4,9),(5,8),(7,10)]=>2 [(1,3),(2,6),(4,9),(5,8),(7,10)]=>1 [(1,4),(2,6),(3,9),(5,8),(7,10)]=>1 [(1,5),(2,6),(3,9),(4,8),(7,10)]=>1 [(1,6),(2,5),(3,9),(4,8),(7,10)]=>1 [(1,7),(2,5),(3,9),(4,8),(6,10)]=>1 [(1,8),(2,5),(3,9),(4,7),(6,10)]=>1 [(1,9),(2,5),(3,8),(4,7),(6,10)]=>1 [(1,10),(2,5),(3,8),(4,7),(6,9)]=>1 [(1,10),(2,6),(3,8),(4,7),(5,9)]=>1 [(1,9),(2,6),(3,8),(4,7),(5,10)]=>1 [(1,8),(2,6),(3,9),(4,7),(5,10)]=>1 [(1,7),(2,6),(3,9),(4,8),(5,10)]=>1 [(1,6),(2,7),(3,9),(4,8),(5,10)]=>1 [(1,5),(2,7),(3,9),(4,8),(6,10)]=>1 [(1,4),(2,7),(3,9),(5,8),(6,10)]=>1 [(1,3),(2,7),(4,9),(5,8),(6,10)]=>1 [(1,2),(3,7),(4,9),(5,8),(6,10)]=>2 [(1,2),(3,8),(4,9),(5,7),(6,10)]=>2 [(1,3),(2,8),(4,9),(5,7),(6,10)]=>1 [(1,4),(2,8),(3,9),(5,7),(6,10)]=>1 [(1,5),(2,8),(3,9),(4,7),(6,10)]=>1 [(1,6),(2,8),(3,9),(4,7),(5,10)]=>1 [(1,7),(2,8),(3,9),(4,6),(5,10)]=>1 [(1,8),(2,7),(3,9),(4,6),(5,10)]=>1 [(1,9),(2,7),(3,8),(4,6),(5,10)]=>1 [(1,10),(2,7),(3,8),(4,6),(5,9)]=>1 [(1,10),(2,8),(3,7),(4,6),(5,9)]=>1 [(1,9),(2,8),(3,7),(4,6),(5,10)]=>1 [(1,8),(2,9),(3,7),(4,6),(5,10)]=>1 [(1,7),(2,9),(3,8),(4,6),(5,10)]=>1 [(1,6),(2,9),(3,8),(4,7),(5,10)]=>1 [(1,5),(2,9),(3,8),(4,7),(6,10)]=>1 [(1,4),(2,9),(3,8),(5,7),(6,10)]=>1 [(1,3),(2,9),(4,8),(5,7),(6,10)]=>1 [(1,2),(3,9),(4,8),(5,7),(6,10)]=>2 [(1,2),(3,10),(4,8),(5,7),(6,9)]=>2 [(1,3),(2,10),(4,8),(5,7),(6,9)]=>1 [(1,4),(2,10),(3,8),(5,7),(6,9)]=>1 [(1,5),(2,10),(3,8),(4,7),(6,9)]=>1 [(1,6),(2,10),(3,8),(4,7),(5,9)]=>1 [(1,7),(2,10),(3,8),(4,6),(5,9)]=>1 [(1,8),(2,10),(3,7),(4,6),(5,9)]=>1 [(1,9),(2,10),(3,7),(4,6),(5,8)]=>1 [(1,10),(2,9),(3,7),(4,6),(5,8)]=>1 [(1,10),(2,9),(3,6),(4,7),(5,8)]=>1 [(1,9),(2,10),(3,6),(4,7),(5,8)]=>1 [(1,8),(2,10),(3,6),(4,7),(5,9)]=>1 [(1,7),(2,10),(3,6),(4,8),(5,9)]=>1 [(1,6),(2,10),(3,7),(4,8),(5,9)]=>1 [(1,5),(2,10),(3,7),(4,8),(6,9)]=>1 [(1,4),(2,10),(3,7),(5,8),(6,9)]=>1 [(1,3),(2,10),(4,7),(5,8),(6,9)]=>1 [(1,2),(3,10),(4,7),(5,8),(6,9)]=>2 [(1,2),(3,9),(4,7),(5,8),(6,10)]=>2 [(1,3),(2,9),(4,7),(5,8),(6,10)]=>1 [(1,4),(2,9),(3,7),(5,8),(6,10)]=>1 [(1,5),(2,9),(3,7),(4,8),(6,10)]=>1 [(1,6),(2,9),(3,7),(4,8),(5,10)]=>1 [(1,7),(2,9),(3,6),(4,8),(5,10)]=>1 [(1,8),(2,9),(3,6),(4,7),(5,10)]=>1 [(1,9),(2,8),(3,6),(4,7),(5,10)]=>1 [(1,10),(2,8),(3,6),(4,7),(5,9)]=>1 [(1,10),(2,7),(3,6),(4,8),(5,9)]=>1 [(1,9),(2,7),(3,6),(4,8),(5,10)]=>1 [(1,8),(2,7),(3,6),(4,9),(5,10)]=>1 [(1,7),(2,8),(3,6),(4,9),(5,10)]=>1 [(1,6),(2,8),(3,7),(4,9),(5,10)]=>1 [(1,5),(2,8),(3,7),(4,9),(6,10)]=>1 [(1,4),(2,8),(3,7),(5,9),(6,10)]=>1 [(1,3),(2,8),(4,7),(5,9),(6,10)]=>1 [(1,2),(3,8),(4,7),(5,9),(6,10)]=>2 [(1,2),(3,7),(4,8),(5,9),(6,10)]=>2 [(1,3),(2,7),(4,8),(5,9),(6,10)]=>1 [(1,4),(2,7),(3,8),(5,9),(6,10)]=>1 [(1,5),(2,7),(3,8),(4,9),(6,10)]=>1 [(1,6),(2,7),(3,8),(4,9),(5,10)]=>1 [(1,7),(2,6),(3,8),(4,9),(5,10)]=>1 [(1,8),(2,6),(3,7),(4,9),(5,10)]=>1 [(1,9),(2,6),(3,7),(4,8),(5,10)]=>1 [(1,10),(2,6),(3,7),(4,8),(5,9)]=>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)]=>1 [(1,4),(2,6),(3,8),(5,9),(7,10)]=>1 [(1,3),(2,6),(4,8),(5,9),(7,10)]=>1 [(1,2),(3,6),(4,8),(5,9),(7,10)]=>2 [(1,2),(3,5),(4,8),(6,9),(7,10)]=>2 [(1,3),(2,5),(4,8),(6,9),(7,10)]=>1 [(1,4),(2,5),(3,8),(6,9),(7,10)]=>1 [(1,5),(2,4),(3,8),(6,9),(7,10)]=>1 [(1,6),(2,4),(3,8),(5,9),(7,10)]=>1 [(1,7),(2,4),(3,8),(5,9),(6,10)]=>1 [(1,8),(2,4),(3,7),(5,9),(6,10)]=>1 [(1,9),(2,4),(3,7),(5,8),(6,10)]=>1 [(1,10),(2,4),(3,7),(5,8),(6,9)]=>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)]=>2 [(1,3),(2,4),(5,8),(6,9),(7,10)]=>2 [(1,2),(3,4),(5,8),(6,9),(7,10)]=>3 [(1,2),(3,4),(5,7),(6,9),(8,10)]=>3 [(1,3),(2,4),(5,7),(6,9),(8,10)]=>2 [(1,4),(2,3),(5,7),(6,9),(8,10)]=>2 [(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)]=>1 [(1,3),(2,5),(4,7),(6,9),(8,10)]=>1 [(1,2),(3,5),(4,7),(6,9),(8,10)]=>2 [(1,2),(3,6),(4,7),(5,9),(8,10)]=>2 [(1,3),(2,6),(4,7),(5,9),(8,10)]=>1 [(1,4),(2,6),(3,7),(5,9),(8,10)]=>1 [(1,5),(2,6),(3,7),(4,9),(8,10)]=>1 [(1,6),(2,5),(3,7),(4,9),(8,10)]=>1 [(1,7),(2,5),(3,6),(4,9),(8,10)]=>1 [(1,8),(2,5),(3,6),(4,9),(7,10)]=>1 [(1,9),(2,5),(3,6),(4,8),(7,10)]=>1 [(1,10),(2,5),(3,6),(4,8),(7,9)]=>1 [(1,10),(2,6),(3,5),(4,8),(7,9)]=>1 [(1,9),(2,6),(3,5),(4,8),(7,10)]=>1 [(1,8),(2,6),(3,5),(4,9),(7,10)]=>1 [(1,7),(2,6),(3,5),(4,9),(8,10)]=>1 [(1,6),(2,7),(3,5),(4,9),(8,10)]=>1 [(1,5),(2,7),(3,6),(4,9),(8,10)]=>1 [(1,4),(2,7),(3,6),(5,9),(8,10)]=>1 [(1,3),(2,7),(4,6),(5,9),(8,10)]=>1 [(1,2),(3,7),(4,6),(5,9),(8,10)]=>2 [(1,2),(3,8),(4,6),(5,9),(7,10)]=>2 [(1,3),(2,8),(4,6),(5,9),(7,10)]=>1 [(1,4),(2,8),(3,6),(5,9),(7,10)]=>1 [(1,5),(2,8),(3,6),(4,9),(7,10)]=>1 [(1,6),(2,8),(3,5),(4,9),(7,10)]=>1 [(1,7),(2,8),(3,5),(4,9),(6,10)]=>1 [(1,8),(2,7),(3,5),(4,9),(6,10)]=>1 [(1,9),(2,7),(3,5),(4,8),(6,10)]=>1 [(1,10),(2,7),(3,5),(4,8),(6,9)]=>1 [(1,10),(2,8),(3,5),(4,7),(6,9)]=>1 [(1,9),(2,8),(3,5),(4,7),(6,10)]=>1 [(1,8),(2,9),(3,5),(4,7),(6,10)]=>1 [(1,7),(2,9),(3,5),(4,8),(6,10)]=>1 [(1,6),(2,9),(3,5),(4,8),(7,10)]=>1 [(1,5),(2,9),(3,6),(4,8),(7,10)]=>1 [(1,4),(2,9),(3,6),(5,8),(7,10)]=>1 [(1,3),(2,9),(4,6),(5,8),(7,10)]=>1 [(1,2),(3,9),(4,6),(5,8),(7,10)]=>2 [(1,2),(3,10),(4,6),(5,8),(7,9)]=>2 [(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)]=>1 [(1,7),(2,10),(3,5),(4,8),(6,9)]=>1 [(1,8),(2,10),(3,5),(4,7),(6,9)]=>1 [(1,9),(2,10),(3,5),(4,7),(6,8)]=>1 [(1,10),(2,9),(3,5),(4,7),(6,8)]=>1 [(1,10),(2,9),(3,4),(5,7),(6,8)]=>1 [(1,9),(2,10),(3,4),(5,7),(6,8)]=>1 [(1,8),(2,10),(3,4),(5,7),(6,9)]=>1 [(1,7),(2,10),(3,4),(5,8),(6,9)]=>1 [(1,6),(2,10),(3,4),(5,8),(7,9)]=>1 [(1,5),(2,10),(3,4),(6,8),(7,9)]=>1 [(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)]=>2 [(1,2),(3,9),(4,5),(6,8),(7,10)]=>2 [(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)]=>1 [(1,6),(2,9),(3,4),(5,8),(7,10)]=>1 [(1,7),(2,9),(3,4),(5,8),(6,10)]=>1 [(1,8),(2,9),(3,4),(5,7),(6,10)]=>1 [(1,9),(2,8),(3,4),(5,7),(6,10)]=>1 [(1,10),(2,8),(3,4),(5,7),(6,9)]=>1 [(1,10),(2,7),(3,4),(5,8),(6,9)]=>1 [(1,9),(2,7),(3,4),(5,8),(6,10)]=>1 [(1,8),(2,7),(3,4),(5,9),(6,10)]=>1 [(1,7),(2,8),(3,4),(5,9),(6,10)]=>1 [(1,6),(2,8),(3,4),(5,9),(7,10)]=>1 [(1,5),(2,8),(3,4),(6,9),(7,10)]=>1 [(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)]=>2 [(1,2),(3,7),(4,5),(6,9),(8,10)]=>2 [(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)]=>1 [(1,6),(2,7),(3,4),(5,9),(8,10)]=>1 [(1,7),(2,6),(3,4),(5,9),(8,10)]=>1 [(1,8),(2,6),(3,4),(5,9),(7,10)]=>1 [(1,9),(2,6),(3,4),(5,8),(7,10)]=>1 [(1,10),(2,6),(3,4),(5,8),(7,9)]=>1 [(1,10),(2,5),(3,4),(6,8),(7,9)]=>1 [(1,9),(2,5),(3,4),(6,8),(7,10)]=>1 [(1,8),(2,5),(3,4),(6,9),(7,10)]=>1 [(1,7),(2,5),(3,4),(6,9),(8,10)]=>1 [(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)]=>3 [(1,2),(3,5),(4,6),(7,9),(8,10)]=>3 [(1,3),(2,5),(4,6),(7,9),(8,10)]=>2 [(1,4),(2,5),(3,6),(7,9),(8,10)]=>2 [(1,5),(2,4),(3,6),(7,9),(8,10)]=>2 [(1,6),(2,4),(3,5),(7,9),(8,10)]=>2 [(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)]=>2 [(1,5),(2,3),(4,6),(7,9),(8,10)]=>2 [(1,4),(2,3),(5,6),(7,9),(8,10)]=>3 [(1,3),(2,4),(5,6),(7,9),(8,10)]=>3 [(1,2),(3,4),(5,6),(7,9),(8,10)]=>4 [(1,2),(3,4),(5,6),(7,10),(8,9)]=>4 [(1,3),(2,4),(5,6),(7,10),(8,9)]=>3 [(1,4),(2,3),(5,6),(7,10),(8,9)]=>3 [(1,5),(2,3),(4,6),(7,10),(8,9)]=>2 [(1,6),(2,3),(4,5),(7,10),(8,9)]=>2 [(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)]=>1 [(1,10),(2,3),(4,5),(6,9),(7,8)]=>1 [(1,10),(2,4),(3,5),(6,9),(7,8)]=>1 [(1,9),(2,4),(3,5),(6,10),(7,8)]=>1 [(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)]=>2 [(1,5),(2,4),(3,6),(7,10),(8,9)]=>2 [(1,4),(2,5),(3,6),(7,10),(8,9)]=>2 [(1,3),(2,5),(4,6),(7,10),(8,9)]=>2 [(1,2),(3,5),(4,6),(7,10),(8,9)]=>3 [(1,2),(3,6),(4,5),(7,10),(8,9)]=>3 [(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)]=>2 [(1,7),(2,5),(3,4),(6,10),(8,9)]=>1 [(1,8),(2,5),(3,4),(6,10),(7,9)]=>1 [(1,9),(2,5),(3,4),(6,10),(7,8)]=>1 [(1,10),(2,5),(3,4),(6,9),(7,8)]=>1 [(1,10),(2,6),(3,4),(5,9),(7,8)]=>1 [(1,9),(2,6),(3,4),(5,10),(7,8)]=>1 [(1,8),(2,6),(3,4),(5,10),(7,9)]=>1 [(1,7),(2,6),(3,4),(5,10),(8,9)]=>1 [(1,6),(2,7),(3,4),(5,10),(8,9)]=>1 [(1,5),(2,7),(3,4),(6,10),(8,9)]=>1 [(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)]=>2 [(1,2),(3,8),(4,5),(6,10),(7,9)]=>2 [(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)]=>1 [(1,6),(2,8),(3,4),(5,10),(7,9)]=>1 [(1,7),(2,8),(3,4),(5,10),(6,9)]=>1 [(1,8),(2,7),(3,4),(5,10),(6,9)]=>1 [(1,9),(2,7),(3,4),(5,10),(6,8)]=>1 [(1,10),(2,7),(3,4),(5,9),(6,8)]=>1 [(1,10),(2,8),(3,4),(5,9),(6,7)]=>1 [(1,9),(2,8),(3,4),(5,10),(6,7)]=>1 [(1,8),(2,9),(3,4),(5,10),(6,7)]=>1 [(1,7),(2,9),(3,4),(5,10),(6,8)]=>1 [(1,6),(2,9),(3,4),(5,10),(7,8)]=>1 [(1,5),(2,9),(3,4),(6,10),(7,8)]=>1 [(1,4),(2,9),(3,5),(6,10),(7,8)]=>1 [(1,3),(2,9),(4,5),(6,10),(7,8)]=>1 [(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)]=>1 [(1,4),(2,10),(3,5),(6,9),(7,8)]=>1 [(1,5),(2,10),(3,4),(6,9),(7,8)]=>1 [(1,6),(2,10),(3,4),(5,9),(7,8)]=>1 [(1,7),(2,10),(3,4),(5,9),(6,8)]=>1 [(1,8),(2,10),(3,4),(5,9),(6,7)]=>1 [(1,9),(2,10),(3,4),(5,8),(6,7)]=>1 [(1,10),(2,9),(3,4),(5,8),(6,7)]=>1 [(1,10),(2,9),(3,5),(4,8),(6,7)]=>1 [(1,9),(2,10),(3,5),(4,8),(6,7)]=>1 [(1,8),(2,10),(3,5),(4,9),(6,7)]=>1 [(1,7),(2,10),(3,5),(4,9),(6,8)]=>1 [(1,6),(2,10),(3,5),(4,9),(7,8)]=>1 [(1,5),(2,10),(3,6),(4,9),(7,8)]=>1 [(1,4),(2,10),(3,6),(5,9),(7,8)]=>1 [(1,3),(2,10),(4,6),(5,9),(7,8)]=>1 [(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)]=>1 [(1,4),(2,9),(3,6),(5,10),(7,8)]=>1 [(1,5),(2,9),(3,6),(4,10),(7,8)]=>1 [(1,6),(2,9),(3,5),(4,10),(7,8)]=>1 [(1,7),(2,9),(3,5),(4,10),(6,8)]=>1 [(1,8),(2,9),(3,5),(4,10),(6,7)]=>1 [(1,9),(2,8),(3,5),(4,10),(6,7)]=>1 [(1,10),(2,8),(3,5),(4,9),(6,7)]=>1 [(1,10),(2,7),(3,5),(4,9),(6,8)]=>1 [(1,9),(2,7),(3,5),(4,10),(6,8)]=>1 [(1,8),(2,7),(3,5),(4,10),(6,9)]=>1 [(1,7),(2,8),(3,5),(4,10),(6,9)]=>1 [(1,6),(2,8),(3,5),(4,10),(7,9)]=>1 [(1,5),(2,8),(3,6),(4,10),(7,9)]=>1 [(1,4),(2,8),(3,6),(5,10),(7,9)]=>1 [(1,3),(2,8),(4,6),(5,10),(7,9)]=>1 [(1,2),(3,8),(4,6),(5,10),(7,9)]=>2 [(1,2),(3,7),(4,6),(5,10),(8,9)]=>2 [(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)]=>1 [(1,7),(2,6),(3,5),(4,10),(8,9)]=>1 [(1,8),(2,6),(3,5),(4,10),(7,9)]=>1 [(1,9),(2,6),(3,5),(4,10),(7,8)]=>1 [(1,10),(2,6),(3,5),(4,9),(7,8)]=>1 [(1,10),(2,5),(3,6),(4,9),(7,8)]=>1 [(1,9),(2,5),(3,6),(4,10),(7,8)]=>1 [(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)]=>2 [(1,2),(3,5),(4,7),(6,10),(8,9)]=>2 [(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)]=>1 [(1,10),(2,4),(3,6),(5,9),(7,8)]=>1 [(1,10),(2,3),(4,6),(5,9),(7,8)]=>1 [(1,9),(2,3),(4,6),(5,10),(7,8)]=>1 [(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)]=>2 [(1,3),(2,4),(5,7),(6,10),(8,9)]=>2 [(1,2),(3,4),(5,7),(6,10),(8,9)]=>3 [(1,2),(3,4),(5,8),(6,10),(7,9)]=>3 [(1,3),(2,4),(5,8),(6,10),(7,9)]=>2 [(1,4),(2,3),(5,8),(6,10),(7,9)]=>2 [(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)]=>1 [(1,10),(2,3),(4,7),(5,9),(6,8)]=>1 [(1,10),(2,4),(3,7),(5,9),(6,8)]=>1 [(1,9),(2,4),(3,7),(5,10),(6,8)]=>1 [(1,8),(2,4),(3,7),(5,10),(6,9)]=>1 [(1,7),(2,4),(3,8),(5,10),(6,9)]=>1 [(1,6),(2,4),(3,8),(5,10),(7,9)]=>1 [(1,5),(2,4),(3,8),(6,10),(7,9)]=>1 [(1,4),(2,5),(3,8),(6,10),(7,9)]=>1 [(1,3),(2,5),(4,8),(6,10),(7,9)]=>1 [(1,2),(3,5),(4,8),(6,10),(7,9)]=>2 [(1,2),(3,6),(4,8),(5,10),(7,9)]=>2 [(1,3),(2,6),(4,8),(5,10),(7,9)]=>1 [(1,4),(2,6),(3,8),(5,10),(7,9)]=>1 [(1,5),(2,6),(3,8),(4,10),(7,9)]=>1 [(1,6),(2,5),(3,8),(4,10),(7,9)]=>1 [(1,7),(2,5),(3,8),(4,10),(6,9)]=>1 [(1,8),(2,5),(3,7),(4,10),(6,9)]=>1 [(1,9),(2,5),(3,7),(4,10),(6,8)]=>1 [(1,10),(2,5),(3,7),(4,9),(6,8)]=>1 [(1,10),(2,6),(3,7),(4,9),(5,8)]=>1 [(1,9),(2,6),(3,7),(4,10),(5,8)]=>1 [(1,8),(2,6),(3,7),(4,10),(5,9)]=>1 [(1,7),(2,6),(3,8),(4,10),(5,9)]=>1 [(1,6),(2,7),(3,8),(4,10),(5,9)]=>1 [(1,5),(2,7),(3,8),(4,10),(6,9)]=>1 [(1,4),(2,7),(3,8),(5,10),(6,9)]=>1 [(1,3),(2,7),(4,8),(5,10),(6,9)]=>1 [(1,2),(3,7),(4,8),(5,10),(6,9)]=>2 [(1,2),(3,8),(4,7),(5,10),(6,9)]=>2 [(1,3),(2,8),(4,7),(5,10),(6,9)]=>1 [(1,4),(2,8),(3,7),(5,10),(6,9)]=>1 [(1,5),(2,8),(3,7),(4,10),(6,9)]=>1 [(1,6),(2,8),(3,7),(4,10),(5,9)]=>1 [(1,7),(2,8),(3,6),(4,10),(5,9)]=>1 [(1,8),(2,7),(3,6),(4,10),(5,9)]=>1 [(1,9),(2,7),(3,6),(4,10),(5,8)]=>1 [(1,10),(2,7),(3,6),(4,9),(5,8)]=>1 [(1,10),(2,8),(3,6),(4,9),(5,7)]=>1 [(1,9),(2,8),(3,6),(4,10),(5,7)]=>1 [(1,8),(2,9),(3,6),(4,10),(5,7)]=>1 [(1,7),(2,9),(3,6),(4,10),(5,8)]=>1 [(1,6),(2,9),(3,7),(4,10),(5,8)]=>1 [(1,5),(2,9),(3,7),(4,10),(6,8)]=>1 [(1,4),(2,9),(3,7),(5,10),(6,8)]=>1 [(1,3),(2,9),(4,7),(5,10),(6,8)]=>1 [(1,2),(3,9),(4,7),(5,10),(6,8)]=>2 [(1,2),(3,10),(4,7),(5,9),(6,8)]=>2 [(1,3),(2,10),(4,7),(5,9),(6,8)]=>1 [(1,4),(2,10),(3,7),(5,9),(6,8)]=>1 [(1,5),(2,10),(3,7),(4,9),(6,8)]=>1 [(1,6),(2,10),(3,7),(4,9),(5,8)]=>1 [(1,7),(2,10),(3,6),(4,9),(5,8)]=>1 [(1,8),(2,10),(3,6),(4,9),(5,7)]=>1 [(1,9),(2,10),(3,6),(4,8),(5,7)]=>1 [(1,10),(2,9),(3,6),(4,8),(5,7)]=>1 [(1,10),(2,9),(3,7),(4,8),(5,6)]=>1 [(1,9),(2,10),(3,7),(4,8),(5,6)]=>1 [(1,8),(2,10),(3,7),(4,9),(5,6)]=>1 [(1,7),(2,10),(3,8),(4,9),(5,6)]=>1 [(1,6),(2,10),(3,8),(4,9),(5,7)]=>1 [(1,5),(2,10),(3,8),(4,9),(6,7)]=>1 [(1,4),(2,10),(3,8),(5,9),(6,7)]=>1 [(1,3),(2,10),(4,8),(5,9),(6,7)]=>1 [(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)]=>1 [(1,4),(2,9),(3,8),(5,10),(6,7)]=>1 [(1,5),(2,9),(3,8),(4,10),(6,7)]=>1 [(1,6),(2,9),(3,8),(4,10),(5,7)]=>1 [(1,7),(2,9),(3,8),(4,10),(5,6)]=>1 [(1,8),(2,9),(3,7),(4,10),(5,6)]=>1 [(1,9),(2,8),(3,7),(4,10),(5,6)]=>1 [(1,10),(2,8),(3,7),(4,9),(5,6)]=>1 [(1,10),(2,7),(3,8),(4,9),(5,6)]=>1 [(1,9),(2,7),(3,8),(4,10),(5,6)]=>1 [(1,8),(2,7),(3,9),(4,10),(5,6)]=>1 [(1,7),(2,8),(3,9),(4,10),(5,6)]=>1 [(1,6),(2,8),(3,9),(4,10),(5,7)]=>1 [(1,5),(2,8),(3,9),(4,10),(6,7)]=>1 [(1,4),(2,8),(3,9),(5,10),(6,7)]=>1 [(1,3),(2,8),(4,9),(5,10),(6,7)]=>1 [(1,2),(3,8),(4,9),(5,10),(6,7)]=>2 [(1,2),(3,7),(4,9),(5,10),(6,8)]=>2 [(1,3),(2,7),(4,9),(5,10),(6,8)]=>1 [(1,4),(2,7),(3,9),(5,10),(6,8)]=>1 [(1,5),(2,7),(3,9),(4,10),(6,8)]=>1 [(1,6),(2,7),(3,9),(4,10),(5,8)]=>1 [(1,7),(2,6),(3,9),(4,10),(5,8)]=>1 [(1,8),(2,6),(3,9),(4,10),(5,7)]=>1 [(1,9),(2,6),(3,8),(4,10),(5,7)]=>1 [(1,10),(2,6),(3,8),(4,9),(5,7)]=>1 [(1,10),(2,5),(3,8),(4,9),(6,7)]=>1 [(1,9),(2,5),(3,8),(4,10),(6,7)]=>1 [(1,8),(2,5),(3,9),(4,10),(6,7)]=>1 [(1,7),(2,5),(3,9),(4,10),(6,8)]=>1 [(1,6),(2,5),(3,9),(4,10),(7,8)]=>1 [(1,5),(2,6),(3,9),(4,10),(7,8)]=>1 [(1,4),(2,6),(3,9),(5,10),(7,8)]=>1 [(1,3),(2,6),(4,9),(5,10),(7,8)]=>1 [(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)]=>1 [(1,4),(2,5),(3,9),(6,10),(7,8)]=>1 [(1,5),(2,4),(3,9),(6,10),(7,8)]=>1 [(1,6),(2,4),(3,9),(5,10),(7,8)]=>1 [(1,7),(2,4),(3,9),(5,10),(6,8)]=>1 [(1,8),(2,4),(3,9),(5,10),(6,7)]=>1 [(1,9),(2,4),(3,8),(5,10),(6,7)]=>1 [(1,10),(2,4),(3,8),(5,9),(6,7)]=>1 [(1,10),(2,3),(4,8),(5,9),(6,7)]=>1 [(1,9),(2,3),(4,8),(5,10),(6,7)]=>1 [(1,8),(2,3),(4,9),(5,10),(6,7)]=>1 [(1,7),(2,3),(4,9),(5,10),(6,8)]=>1 [(1,6),(2,3),(4,9),(5,10),(7,8)]=>1 [(1,5),(2,3),(4,9),(6,10),(7,8)]=>1 [(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)]=>3 [(1,2),(3,4),(5,10),(6,9),(7,8)]=>3 [(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)]=>1 [(1,6),(2,3),(4,10),(5,9),(7,8)]=>1 [(1,7),(2,3),(4,10),(5,9),(6,8)]=>1 [(1,8),(2,3),(4,10),(5,9),(6,7)]=>1 [(1,9),(2,3),(4,10),(5,8),(6,7)]=>1 [(1,10),(2,3),(4,9),(5,8),(6,7)]=>1 [(1,10),(2,4),(3,9),(5,8),(6,7)]=>1 [(1,9),(2,4),(3,10),(5,8),(6,7)]=>1 [(1,8),(2,4),(3,10),(5,9),(6,7)]=>1 [(1,7),(2,4),(3,10),(5,9),(6,8)]=>1 [(1,6),(2,4),(3,10),(5,9),(7,8)]=>1 [(1,5),(2,4),(3,10),(6,9),(7,8)]=>1 [(1,4),(2,5),(3,10),(6,9),(7,8)]=>1 [(1,3),(2,5),(4,10),(6,9),(7,8)]=>1 [(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)]=>1 [(1,4),(2,6),(3,10),(5,9),(7,8)]=>1 [(1,5),(2,6),(3,10),(4,9),(7,8)]=>1 [(1,6),(2,5),(3,10),(4,9),(7,8)]=>1 [(1,7),(2,5),(3,10),(4,9),(6,8)]=>1 [(1,8),(2,5),(3,10),(4,9),(6,7)]=>1 [(1,9),(2,5),(3,10),(4,8),(6,7)]=>1 [(1,10),(2,5),(3,9),(4,8),(6,7)]=>1 [(1,10),(2,6),(3,9),(4,8),(5,7)]=>1 [(1,9),(2,6),(3,10),(4,8),(5,7)]=>1 [(1,8),(2,6),(3,10),(4,9),(5,7)]=>1 [(1,7),(2,6),(3,10),(4,9),(5,8)]=>1 [(1,6),(2,7),(3,10),(4,9),(5,8)]=>1 [(1,5),(2,7),(3,10),(4,9),(6,8)]=>1 [(1,4),(2,7),(3,10),(5,9),(6,8)]=>1 [(1,3),(2,7),(4,10),(5,9),(6,8)]=>1 [(1,2),(3,7),(4,10),(5,9),(6,8)]=>2 [(1,2),(3,8),(4,10),(5,9),(6,7)]=>2 [(1,3),(2,8),(4,10),(5,9),(6,7)]=>1 [(1,4),(2,8),(3,10),(5,9),(6,7)]=>1 [(1,5),(2,8),(3,10),(4,9),(6,7)]=>1 [(1,6),(2,8),(3,10),(4,9),(5,7)]=>1 [(1,7),(2,8),(3,10),(4,9),(5,6)]=>1 [(1,8),(2,7),(3,10),(4,9),(5,6)]=>1 [(1,9),(2,7),(3,10),(4,8),(5,6)]=>1 [(1,10),(2,7),(3,9),(4,8),(5,6)]=>1 [(1,10),(2,8),(3,9),(4,7),(5,6)]=>1 [(1,9),(2,8),(3,10),(4,7),(5,6)]=>1 [(1,8),(2,9),(3,10),(4,7),(5,6)]=>1 [(1,7),(2,9),(3,10),(4,8),(5,6)]=>1 [(1,6),(2,9),(3,10),(4,8),(5,7)]=>1 [(1,5),(2,9),(3,10),(4,8),(6,7)]=>1 [(1,4),(2,9),(3,10),(5,8),(6,7)]=>1 [(1,3),(2,9),(4,10),(5,8),(6,7)]=>1 [(1,2),(3,9),(4,10),(5,8),(6,7)]=>2 [(1,2),(3,10),(4,9),(5,8),(6,7)]=>2 [(1,3),(2,10),(4,9),(5,8),(6,7)]=>1 [(1,4),(2,10),(3,9),(5,8),(6,7)]=>1 [(1,5),(2,10),(3,9),(4,8),(6,7)]=>1 [(1,6),(2,10),(3,9),(4,8),(5,7)]=>1 [(1,7),(2,10),(3,9),(4,8),(5,6)]=>1 [(1,8),(2,10),(3,9),(4,7),(5,6)]=>1 [(1,9),(2,10),(3,8),(4,7),(5,6)]=>1 [(1,10),(2,9),(3,8),(4,7),(5,6)]=>1 [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)]=>1 [(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)]=>1 [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>2 [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>2 [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>1 [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>5 [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>1 [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>2 [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>4 [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>1 [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>4 [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>2 [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>3 [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>1 [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>3 [(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)]=>2 [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>2 [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>1 [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>4 [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>1 [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>2 [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>3 [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>1 [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>3 [(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)]=>2 [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>1 [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>4 [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>1 [(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)]=>3 [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>1 [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>3 [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>2 [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>2 [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>1 [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>3 [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>3 [(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)]=>1 [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>3 [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>1 [(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)]=>1 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>6 [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>1 [(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)]=>5 [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>1 [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>5 [(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)]=>4 [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>1 [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>3 [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>1 [(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)]=>1 [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>4 [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>1 [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)]=>2 [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>3 [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>1 [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>3 [(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)]=>1 [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>5 [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>1 [(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)]=>4 [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>1 [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>4 [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>2 [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>3 [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>1 [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>3 [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>4 [(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)]=>3 [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>1 [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>3 [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>1 [(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)]=>1 [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>5 [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>1 [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>2 [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>4 [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>1 [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>4 [(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)]=>3 [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>1 [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>4 [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>1 [(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)]=>3 [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>1 [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>3 [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)]=>2 [(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)]=>1 [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>4 [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>3 [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)]=>3 [(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)]=>1 [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>4 [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>1 [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>2 [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>3 [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>1 [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>3 [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>2 [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]=>2 [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>1 [(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)]=>3 [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)]=>2 [(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)]=>1 [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)]=>3 [(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)]=>2 [(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)]=>5 [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]=>5 [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]=>4 [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]=>4 [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]=>5 [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]=>4 [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]=>4 [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]=>3 [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]=>3 [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]=>4 [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]=>3 [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]=>3 [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]=>3 [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]=>5 [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]=>4 [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]=>4 [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]=>3 [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]=>3 [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]=>4 [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]=>3 [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]=>3 [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]=>2 [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]=>2 [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]=>3 [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]=>2 [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]=>2 [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]=>2 [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]=>4 [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]=>3 [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]=>3 [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]=>2 [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]=>2 [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]=>3 [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]=>2 [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]=>2 [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]=>2 [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)]=>3 [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]=>2 [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]=>2 [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)]=>2 [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)]=>2 [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]=>5 [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]=>4 [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]=>4 [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]=>3 [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]=>3 [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]=>4 [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]=>3 [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]=>3 [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]=>2 [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]=>2 [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]=>3 [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]=>2 [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)]=>2 [(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)]=>2 [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]=>4 [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]=>3 [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]=>3 [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]=>2 [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)]=>2 [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]=>3 [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]=>2 [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]=>2 [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]=>1 [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]=>1 [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]=>2 [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]=>1 [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]=>1 [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]=>1 [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]=>3 [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]=>2 [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]=>2 [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]=>1 [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]=>1 [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]=>2 [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]=>1 [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]=>1 [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]=>1 [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]=>2 [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]=>1 [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]=>1 [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]=>1 [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)]=>1 [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]=>4 [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]=>3 [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]=>3 [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)]=>2 [(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)]=>2 [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]=>3 [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]=>2 [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]=>2 [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]=>1 [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]=>1 [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]=>2 [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]=>1 [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]=>1 [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]=>1 [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]=>3 [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)]=>2 [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]=>2 [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]=>1 [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]=>1 [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]=>2 [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]=>1 [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]=>1 [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]=>1 [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]=>2 [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]=>1 [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]=>1 [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]=>1 [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]=>1 [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)]=>3 [(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)]=>2 [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]=>2 [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]=>1 [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]=>1 [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]=>2 [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]=>1 [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]=>1 [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]=>1 [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)]=>2 [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]=>1 [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]=>1 [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]=>1 [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]=>1 [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)]=>2 [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)]=>1 [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]=>1 [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]=>1 [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)]=>1 [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)]=>1 [(1,2),(3,14),(4,5),(6,13),(7,12),(8,11),(9,10)]=>2 [(1,2),(3,14),(4,13),(5,6),(7,12),(8,9),(10,11)]=>2 [(1,2),(3,14),(4,13),(5,6),(7,12),(8,11),(9,10)]=>2 [(1,2),(3,14),(4,13),(5,8),(6,7),(9,12),(10,11)]=>2 [(1,2),(3,14),(4,13),(5,10),(6,7),(8,9),(11,12)]=>2 [(1,2),(3,14),(4,13),(5,12),(6,7),(8,9),(10,11)]=>2 [(1,2),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10)]=>2 [(1,2),(3,14),(4,11),(5,10),(6,9),(7,8),(12,13)]=>2 [(1,2),(3,14),(4,13),(5,10),(6,9),(7,8),(11,12)]=>2 [(1,2),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11)]=>2 [(1,2),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10)]=>2 [(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9)]=>2 [(1,4),(2,3),(5,14),(6,13),(7,12),(8,11),(9,10)]=>2 [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8),(13,14)]=>2 [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9),(13,14)]=>2 [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8),(13,14)]=>2 [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9),(13,14)]=>2 [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10),(13,14)]=>2 [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9),(13,14)]=>2 [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8),(13,14)]=>2 [(1,10),(2,9),(3,8),(4,7),(5,6),(11,14),(12,13)]=>2 [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14)]=>2 [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10),(13,14)]=>2 [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9),(13,14)]=>2 [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,14)]=>2 [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14)]=>2 [(1,2),(3,16),(4,15),(5,14),(6,7),(8,13),(9,12),(10,11)]=>2 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)]=>2 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,12),(10,11)]=>2 [(1,2),(3,16),(4,15),(5,14),(6,11),(7,10),(8,9),(12,13)]=>2 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)]=>2 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)]=>2 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)]=>2 [(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9),(15,16)]=>2 [(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10),(15,16)]=>2 [(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9),(15,16)]=>2 [(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11),(15,16)]=>2 [(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10),(15,16)]=>2 [(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9),(15,16)]=>2 [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,16)]=>2 [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(17,18)]=>2 [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)]=>2 [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(17,18)]=>2 [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)]=>2 [(1,16),(2,15),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11),(17,18)]=>2 [(1,16),(2,15),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10),(17,18)]=>2 [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)]=>2 [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,9),(10,13),(11,12)]=>2 [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(19,20)]=>2 [(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)]=>2 [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11),(19,20)]=>2 [(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,11),(12,13)]=>2 [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(21,22)]=>2 [(1,2),(3,22),(4,21),(5,20),(6,19),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)]=>2 [(1,2),(3,4),(5,6),(7,9),(8,12),(10,11)]=>4 [(1,2),(3,4),(5,6),(7,10),(8,12),(9,11)]=>4 [(1,2),(3,4),(5,6),(7,11),(8,9),(10,12)]=>4 [(1,2),(3,4),(5,6),(7,11),(8,10),(9,12)]=>4 [(1,2),(3,4),(5,6),(7,11),(8,12),(9,10)]=>4 [(1,2),(3,4),(5,6),(7,12),(8,10),(9,11)]=>4 [(1,2),(3,4),(5,7),(6,8),(9,12),(10,11)]=>4 [(1,2),(3,4),(5,7),(6,9),(8,12),(10,11)]=>3 [(1,2),(3,4),(5,7),(6,10),(8,9),(11,12)]=>4 [(1,2),(3,4),(5,7),(6,10),(8,12),(9,11)]=>3 [(1,2),(3,4),(5,7),(6,11),(8,9),(10,12)]=>3 [(1,2),(3,4),(5,7),(6,11),(8,10),(9,12)]=>3 [(1,2),(3,4),(5,7),(6,11),(8,12),(9,10)]=>3 [(1,2),(3,4),(5,7),(6,12),(8,9),(10,11)]=>3 [(1,2),(3,4),(5,7),(6,12),(8,10),(9,11)]=>3 [(1,2),(3,4),(5,7),(6,12),(8,11),(9,10)]=>3 [(1,2),(3,4),(5,8),(6,7),(9,11),(10,12)]=>4 [(1,2),(3,4),(5,8),(6,9),(7,12),(10,11)]=>3 [(1,2),(3,4),(5,8),(6,10),(7,12),(9,11)]=>3 [(1,2),(3,4),(5,8),(6,10),(7,9),(11,12)]=>4 [(1,2),(3,4),(5,8),(6,11),(7,12),(9,10)]=>3 [(1,2),(3,4),(5,8),(6,11),(7,10),(9,12)]=>3 [(1,2),(3,4),(5,8),(6,11),(7,9),(10,12)]=>3 [(1,2),(3,4),(5,8),(6,12),(7,11),(9,10)]=>3 [(1,2),(3,4),(5,8),(6,12),(7,10),(9,11)]=>3 [(1,2),(3,4),(5,8),(6,12),(7,9),(10,11)]=>3 [(1,2),(3,4),(5,9),(6,7),(8,10),(11,12)]=>4 [(1,2),(3,4),(5,9),(6,7),(8,11),(10,12)]=>3 [(1,2),(3,4),(5,9),(6,7),(8,12),(10,11)]=>3 [(1,2),(3,4),(5,9),(6,8),(7,12),(10,11)]=>3 [(1,2),(3,4),(5,9),(6,8),(7,11),(10,12)]=>3 [(1,2),(3,4),(5,9),(6,8),(7,10),(11,12)]=>4 [(1,2),(3,4),(5,9),(6,10),(7,12),(8,11)]=>3 [(1,2),(3,4),(5,9),(6,10),(7,8),(11,12)]=>4 [(1,2),(3,4),(5,9),(6,11),(7,12),(8,10)]=>3 [(1,2),(3,4),(5,9),(6,11),(7,10),(8,12)]=>3 [(1,2),(3,4),(5,9),(6,11),(7,8),(10,12)]=>3 [(1,2),(3,4),(5,9),(6,12),(7,11),(8,10)]=>3 [(1,2),(3,4),(5,9),(6,12),(7,10),(8,11)]=>3 [(1,2),(3,4),(5,9),(6,12),(7,8),(10,11)]=>3 [(1,2),(3,4),(5,10),(6,7),(8,11),(9,12)]=>3 [(1,2),(3,4),(5,10),(6,7),(8,12),(9,11)]=>3 [(1,2),(3,4),(5,10),(6,8),(7,12),(9,11)]=>3 [(1,2),(3,4),(5,10),(6,8),(7,11),(9,12)]=>3 [(1,2),(3,4),(5,10),(6,8),(7,9),(11,12)]=>4 [(1,2),(3,4),(5,10),(6,9),(7,12),(8,11)]=>3 [(1,2),(3,4),(5,10),(6,9),(7,11),(8,12)]=>3 [(1,2),(3,4),(5,10),(6,11),(7,12),(8,9)]=>3 [(1,2),(3,4),(5,10),(6,11),(7,9),(8,12)]=>3 [(1,2),(3,4),(5,10),(6,11),(7,8),(9,12)]=>3 [(1,2),(3,4),(5,10),(6,12),(7,11),(8,9)]=>3 [(1,2),(3,4),(5,10),(6,12),(7,9),(8,11)]=>3 [(1,2),(3,4),(5,10),(6,12),(7,8),(9,11)]=>3 [(1,2),(3,4),(5,11),(6,7),(8,9),(10,12)]=>3 [(1,2),(3,4),(5,11),(6,7),(8,10),(9,12)]=>3 [(1,2),(3,4),(5,11),(6,7),(8,12),(9,10)]=>3 [(1,2),(3,4),(5,11),(6,8),(7,12),(9,10)]=>3 [(1,2),(3,4),(5,11),(6,8),(7,10),(9,12)]=>3 [(1,2),(3,4),(5,11),(6,8),(7,9),(10,12)]=>3 [(1,2),(3,4),(5,11),(6,9),(7,12),(8,10)]=>3 [(1,2),(3,4),(5,11),(6,9),(7,10),(8,12)]=>3 [(1,2),(3,4),(5,11),(6,9),(7,8),(10,12)]=>3 [(1,2),(3,4),(5,11),(6,10),(7,12),(8,9)]=>3 [(1,2),(3,4),(5,11),(6,10),(7,9),(8,12)]=>3 [(1,2),(3,4),(5,11),(6,10),(7,8),(9,12)]=>3 [(1,2),(3,4),(5,11),(6,12),(7,10),(8,9)]=>3 [(1,2),(3,4),(5,11),(6,12),(7,9),(8,10)]=>3 [(1,2),(3,4),(5,11),(6,12),(7,8),(9,10)]=>3 [(1,2),(3,4),(5,12),(6,7),(8,10),(9,11)]=>3 [(1,2),(3,4),(5,12),(6,8),(7,11),(9,10)]=>3 [(1,2),(3,4),(5,12),(6,8),(7,10),(9,11)]=>3 [(1,2),(3,4),(5,12),(6,8),(7,9),(10,11)]=>3 [(1,2),(3,4),(5,12),(6,9),(7,11),(8,10)]=>3 [(1,2),(3,4),(5,12),(6,9),(7,10),(8,11)]=>3 [(1,2),(3,4),(5,12),(6,10),(7,11),(8,9)]=>3 [(1,2),(3,4),(5,12),(6,10),(7,9),(8,11)]=>3 [(1,2),(3,4),(5,12),(6,10),(7,8),(9,11)]=>3 [(1,2),(3,4),(5,12),(6,11),(7,9),(8,10)]=>3 [(1,2),(3,5),(4,6),(7,8),(9,12),(10,11)]=>4 [(1,2),(3,5),(4,6),(7,9),(8,12),(10,11)]=>3 [(1,2),(3,5),(4,6),(7,10),(8,9),(11,12)]=>4 [(1,2),(3,5),(4,6),(7,10),(8,12),(9,11)]=>3 [(1,2),(3,5),(4,6),(7,11),(8,9),(10,12)]=>3 [(1,2),(3,5),(4,6),(7,11),(8,10),(9,12)]=>3 [(1,2),(3,5),(4,6),(7,11),(8,12),(9,10)]=>3 [(1,2),(3,5),(4,6),(7,12),(8,9),(10,11)]=>3 [(1,2),(3,5),(4,6),(7,12),(8,10),(9,11)]=>3 [(1,2),(3,5),(4,6),(7,12),(8,11),(9,10)]=>3 [(1,2),(3,5),(4,7),(6,8),(9,12),(10,11)]=>3 [(1,2),(3,5),(4,7),(6,9),(8,12),(10,11)]=>2 [(1,2),(3,5),(4,7),(6,10),(8,9),(11,12)]=>3 [(1,2),(3,5),(4,7),(6,10),(8,12),(9,11)]=>2 [(1,2),(3,5),(4,7),(6,11),(8,9),(10,12)]=>2 [(1,2),(3,5),(4,7),(6,11),(8,10),(9,12)]=>2
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The decomposition number of a perfect matching.
This is the number of integers $i$ such that all elements in $\{1,\dots,i\}$ are matched among themselves.
Visually, it is the number of components of the arc diagram of the matching, where a component is a matching of a set of consecutive numbers $\{a,a+1,\dots,b\}$ such that there is no arc matching a number smaller than $a$ with a number larger than $b$.
E.g., $\{(1,6),(2,4),(3,5)\}$ is a hairpin under a single edge - crossing nested by a single arc. Thus, this matching has one component. However, $\{(1,2),(3,6),(4,5)\}$ is a single edge to the left of a ladder (a pair of nested edges), so it has two components.
Code
def statistic(pi):
    blocks = sorted(sorted(b) for b in pi)
    k = 0
    u = []
    for b in blocks:
        u.extend(b)
        if sorted(u)[-1] == len(u):
            k += 1
    return k
Created
Jun 07, 2017 at 20:55 by Michael Breunig
Updated
May 14, 2018 at 21:03 by Martin Rubey