- FindStat

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Identifier

St000945: Perfect matchings ⟶ ℤ

Values

=>
                            Cc0012;cc-rep
                            
                            
                            

                        [(1,2)]=>1
[(1,2),(3,4)]=>2
[(1,3),(2,4)]=>1
[(1,4),(2,3)]=>2
[(1,2),(3,4),(5,6)]=>2
[(1,3),(2,4),(5,6)]=>6
[(1,4),(2,3),(5,6)]=>3
[(1,5),(2,3),(4,6)]=>6
[(1,6),(2,3),(4,5)]=>2
[(1,6),(2,4),(3,5)]=>6
[(1,5),(2,4),(3,6)]=>3
[(1,4),(2,5),(3,6)]=>1
[(1,3),(2,5),(4,6)]=>3
[(1,2),(3,5),(4,6)]=>6
[(1,2),(3,6),(4,5)]=>3
[(1,3),(2,6),(4,5)]=>6
[(1,4),(2,6),(3,5)]=>3
[(1,5),(2,6),(3,4)]=>6
[(1,6),(2,5),(3,4)]=>3
[(1,2),(3,4),(5,6),(7,8)]=>2
[(1,3),(2,4),(5,6),(7,8)]=>8
[(1,4),(2,3),(5,6),(7,8)]=>8
[(1,5),(2,3),(4,6),(7,8)]=>8
[(1,6),(2,3),(4,5),(7,8)]=>8
[(1,7),(2,3),(4,5),(6,8)]=>8
[(1,8),(2,3),(4,5),(6,7)]=>2
[(1,8),(2,4),(3,5),(6,7)]=>8
[(1,7),(2,4),(3,5),(6,8)]=>4
[(1,6),(2,4),(3,5),(7,8)]=>8
[(1,5),(2,4),(3,6),(7,8)]=>16
[(1,4),(2,5),(3,6),(7,8)]=>8
[(1,3),(2,5),(4,6),(7,8)]=>8
[(1,2),(3,5),(4,6),(7,8)]=>8
[(1,2),(3,6),(4,5),(7,8)]=>8
[(1,3),(2,6),(4,5),(7,8)]=>8
[(1,4),(2,6),(3,5),(7,8)]=>16
[(1,5),(2,6),(3,4),(7,8)]=>4
[(1,6),(2,5),(3,4),(7,8)]=>4
[(1,7),(2,5),(3,4),(6,8)]=>8
[(1,8),(2,5),(3,4),(6,7)]=>8
[(1,8),(2,6),(3,4),(5,7)]=>8
[(1,7),(2,6),(3,4),(5,8)]=>16
[(1,6),(2,7),(3,4),(5,8)]=>8
[(1,5),(2,7),(3,4),(6,8)]=>16
[(1,4),(2,7),(3,5),(6,8)]=>8
[(1,3),(2,7),(4,5),(6,8)]=>8
[(1,2),(3,7),(4,5),(6,8)]=>8
[(1,2),(3,8),(4,5),(6,7)]=>8
[(1,3),(2,8),(4,5),(6,7)]=>8
[(1,4),(2,8),(3,5),(6,7)]=>8
[(1,5),(2,8),(3,4),(6,7)]=>8
[(1,6),(2,8),(3,4),(5,7)]=>8
[(1,7),(2,8),(3,4),(5,6)]=>8
[(1,8),(2,7),(3,4),(5,6)]=>8
[(1,8),(2,7),(3,5),(4,6)]=>8
[(1,7),(2,8),(3,5),(4,6)]=>4
[(1,6),(2,8),(3,5),(4,7)]=>8
[(1,5),(2,8),(3,6),(4,7)]=>8
[(1,4),(2,8),(3,6),(5,7)]=>8
[(1,3),(2,8),(4,6),(5,7)]=>4
[(1,2),(3,8),(4,6),(5,7)]=>8
[(1,2),(3,7),(4,6),(5,8)]=>16
[(1,3),(2,7),(4,6),(5,8)]=>8
[(1,4),(2,7),(3,6),(5,8)]=>2
[(1,5),(2,7),(3,6),(4,8)]=>4
[(1,6),(2,7),(3,5),(4,8)]=>8
[(1,7),(2,6),(3,5),(4,8)]=>4
[(1,8),(2,6),(3,5),(4,7)]=>16
[(1,8),(2,5),(3,6),(4,7)]=>8
[(1,7),(2,5),(3,6),(4,8)]=>8
[(1,6),(2,5),(3,7),(4,8)]=>4
[(1,5),(2,6),(3,7),(4,8)]=>1
[(1,4),(2,6),(3,7),(5,8)]=>4
[(1,3),(2,6),(4,7),(5,8)]=>8
[(1,2),(3,6),(4,7),(5,8)]=>8
[(1,2),(3,5),(4,7),(6,8)]=>8
[(1,3),(2,5),(4,7),(6,8)]=>8
[(1,4),(2,5),(3,7),(6,8)]=>8
[(1,5),(2,4),(3,7),(6,8)]=>4
[(1,6),(2,4),(3,7),(5,8)]=>8
[(1,7),(2,4),(3,6),(5,8)]=>8
[(1,8),(2,4),(3,6),(5,7)]=>8
[(1,8),(2,3),(4,6),(5,7)]=>8
[(1,7),(2,3),(4,6),(5,8)]=>8
[(1,6),(2,3),(4,7),(5,8)]=>8
[(1,5),(2,3),(4,7),(6,8)]=>16
[(1,4),(2,3),(5,7),(6,8)]=>8
[(1,3),(2,4),(5,7),(6,8)]=>4
[(1,2),(3,4),(5,7),(6,8)]=>8
[(1,2),(3,4),(5,8),(6,7)]=>8
[(1,3),(2,4),(5,8),(6,7)]=>8
[(1,4),(2,3),(5,8),(6,7)]=>4
[(1,5),(2,3),(4,8),(6,7)]=>4
[(1,6),(2,3),(4,8),(5,7)]=>16
[(1,7),(2,3),(4,8),(5,6)]=>8
[(1,8),(2,3),(4,7),(5,6)]=>8
[(1,8),(2,4),(3,7),(5,6)]=>8
[(1,7),(2,4),(3,8),(5,6)]=>8
[(1,6),(2,4),(3,8),(5,7)]=>8
[(1,5),(2,4),(3,8),(6,7)]=>16
[(1,4),(2,5),(3,8),(6,7)]=>8
[(1,3),(2,5),(4,8),(6,7)]=>16
[(1,2),(3,5),(4,8),(6,7)]=>8
[(1,2),(3,6),(4,8),(5,7)]=>16
[(1,3),(2,6),(4,8),(5,7)]=>4
[(1,4),(2,6),(3,8),(5,7)]=>8
[(1,5),(2,6),(3,8),(4,7)]=>4
[(1,6),(2,5),(3,8),(4,7)]=>2
[(1,7),(2,5),(3,8),(4,6)]=>8
[(1,8),(2,5),(3,7),(4,6)]=>16
[(1,8),(2,6),(3,7),(4,5)]=>4
[(1,7),(2,6),(3,8),(4,5)]=>16
[(1,6),(2,7),(3,8),(4,5)]=>8
[(1,5),(2,7),(3,8),(4,6)]=>8
[(1,4),(2,7),(3,8),(5,6)]=>8
[(1,3),(2,7),(4,8),(5,6)]=>16
[(1,2),(3,7),(4,8),(5,6)]=>4
[(1,2),(3,8),(4,7),(5,6)]=>4
[(1,3),(2,8),(4,7),(5,6)]=>8
[(1,4),(2,8),(3,7),(5,6)]=>16
[(1,5),(2,8),(3,7),(4,6)]=>4
[(1,6),(2,8),(3,7),(4,5)]=>16
[(1,7),(2,8),(3,6),(4,5)]=>8
[(1,8),(2,7),(3,6),(4,5)]=>4
[(1,2),(3,4),(5,6),(7,8),(9,10)]=>2
[(1,3),(2,4),(5,6),(7,8),(9,10)]=>10
[(1,4),(2,3),(5,6),(7,8),(9,10)]=>10
[(1,5),(2,3),(4,6),(7,8),(9,10)]=>20
[(1,6),(2,3),(4,5),(7,8),(9,10)]=>5
[(1,7),(2,3),(4,5),(6,8),(9,10)]=>20
[(1,8),(2,3),(4,5),(6,7),(9,10)]=>10
[(1,9),(2,3),(4,5),(6,7),(8,10)]=>10
[(1,10),(2,3),(4,5),(6,7),(8,9)]=>2
[(1,10),(2,4),(3,5),(6,7),(8,9)]=>10
[(1,9),(2,4),(3,5),(6,7),(8,10)]=>10
[(1,8),(2,4),(3,5),(6,7),(9,10)]=>20
[(1,7),(2,4),(3,5),(6,8),(9,10)]=>20
[(1,6),(2,4),(3,5),(7,8),(9,10)]=>10
[(1,5),(2,4),(3,6),(7,8),(9,10)]=>20
[(1,4),(2,5),(3,6),(7,8),(9,10)]=>10
[(1,3),(2,5),(4,6),(7,8),(9,10)]=>10
[(1,2),(3,5),(4,6),(7,8),(9,10)]=>10
[(1,2),(3,6),(4,5),(7,8),(9,10)]=>10
[(1,3),(2,6),(4,5),(7,8),(9,10)]=>20
[(1,4),(2,6),(3,5),(7,8),(9,10)]=>20
[(1,5),(2,6),(3,4),(7,8),(9,10)]=>10
[(1,6),(2,5),(3,4),(7,8),(9,10)]=>10
[(1,7),(2,5),(3,4),(6,8),(9,10)]=>20
[(1,8),(2,5),(3,4),(6,7),(9,10)]=>10
[(1,9),(2,5),(3,4),(6,7),(8,10)]=>20
[(1,10),(2,5),(3,4),(6,7),(8,9)]=>10
[(1,9),(2,6),(3,4),(5,7),(8,10)]=>20
[(1,8),(2,6),(3,4),(5,7),(9,10)]=>20
[(1,7),(2,6),(3,4),(5,8),(9,10)]=>10
[(1,6),(2,7),(3,4),(5,8),(9,10)]=>10
[(1,5),(2,7),(3,4),(6,8),(9,10)]=>20
[(1,4),(2,7),(3,5),(6,8),(9,10)]=>20
[(1,3),(2,7),(4,5),(6,8),(9,10)]=>5
[(1,2),(3,7),(4,5),(6,8),(9,10)]=>20
[(1,2),(3,8),(4,5),(6,7),(9,10)]=>5
[(1,3),(2,8),(4,5),(6,7),(9,10)]=>20
[(1,4),(2,8),(3,5),(6,7),(9,10)]=>20
[(1,5),(2,8),(3,4),(6,7),(9,10)]=>10
[(1,6),(2,8),(3,4),(5,7),(9,10)]=>20
[(1,7),(2,8),(3,4),(5,6),(9,10)]=>10
[(1,8),(2,7),(3,4),(5,6),(9,10)]=>10
[(1,9),(2,7),(3,4),(5,6),(8,10)]=>10
[(1,9),(2,8),(3,4),(5,6),(7,10)]=>20
[(1,8),(2,9),(3,4),(5,6),(7,10)]=>10
[(1,7),(2,9),(3,4),(5,6),(8,10)]=>20
[(1,6),(2,9),(3,4),(5,7),(8,10)]=>20
[(1,5),(2,9),(3,4),(6,7),(8,10)]=>20
[(1,4),(2,9),(3,5),(6,7),(8,10)]=>10
[(1,3),(2,9),(4,5),(6,7),(8,10)]=>10
[(1,2),(3,9),(4,5),(6,7),(8,10)]=>20
[(1,2),(3,10),(4,5),(6,7),(8,9)]=>10
[(1,3),(2,10),(4,5),(6,7),(8,9)]=>10
[(1,4),(2,10),(3,5),(6,7),(8,9)]=>10
[(1,5),(2,10),(3,4),(6,7),(8,9)]=>20
[(1,6),(2,10),(3,4),(5,7),(8,9)]=>5
[(1,7),(2,10),(3,4),(5,6),(8,9)]=>20
[(1,8),(2,10),(3,4),(5,6),(7,9)]=>10
[(1,9),(2,10),(3,4),(5,6),(7,8)]=>10
[(1,9),(2,10),(3,5),(4,6),(7,8)]=>10
[(1,8),(2,10),(3,5),(4,6),(7,9)]=>10
[(1,7),(2,10),(3,5),(4,6),(8,9)]=>20
[(1,6),(2,10),(3,5),(4,7),(8,9)]=>20
[(1,5),(2,10),(3,6),(4,7),(8,9)]=>20
[(1,4),(2,10),(3,6),(5,7),(8,9)]=>10
[(1,3),(2,10),(4,6),(5,7),(8,9)]=>10
[(1,2),(3,10),(4,6),(5,7),(8,9)]=>20
[(1,2),(3,9),(4,6),(5,7),(8,10)]=>20
[(1,3),(2,9),(4,6),(5,7),(8,10)]=>10
[(1,4),(2,9),(3,6),(5,7),(8,10)]=>10
[(1,5),(2,9),(3,6),(4,7),(8,10)]=>20
[(1,6),(2,9),(3,5),(4,7),(8,10)]=>10
[(1,7),(2,9),(3,5),(4,6),(8,10)]=>20
[(1,8),(2,9),(3,5),(4,6),(7,10)]=>10
[(1,9),(2,8),(3,5),(4,6),(7,10)]=>20
[(1,9),(2,7),(3,5),(4,6),(8,10)]=>5
[(1,8),(2,7),(3,5),(4,6),(9,10)]=>10
[(1,7),(2,8),(3,5),(4,6),(9,10)]=>10
[(1,6),(2,8),(3,5),(4,7),(9,10)]=>20
[(1,5),(2,8),(3,6),(4,7),(9,10)]=>20
[(1,4),(2,8),(3,6),(5,7),(9,10)]=>20
[(1,3),(2,8),(4,6),(5,7),(9,10)]=>20
[(1,2),(3,8),(4,6),(5,7),(9,10)]=>10
[(1,2),(3,7),(4,6),(5,8),(9,10)]=>20
[(1,3),(2,7),(4,6),(5,8),(9,10)]=>20
[(1,4),(2,7),(3,6),(5,8),(9,10)]=>10
[(1,5),(2,7),(3,6),(4,8),(9,10)]=>10
[(1,6),(2,7),(3,5),(4,8),(9,10)]=>20
[(1,7),(2,6),(3,5),(4,8),(9,10)]=>20
[(1,8),(2,6),(3,5),(4,7),(9,10)]=>20
[(1,9),(2,6),(3,5),(4,7),(8,10)]=>20
[(1,10),(2,5),(3,6),(4,7),(8,9)]=>10
[(1,9),(2,5),(3,6),(4,7),(8,10)]=>10
[(1,8),(2,5),(3,6),(4,7),(9,10)]=>10
[(1,7),(2,5),(3,6),(4,8),(9,10)]=>20
[(1,6),(2,5),(3,7),(4,8),(9,10)]=>20
[(1,5),(2,6),(3,7),(4,8),(9,10)]=>10
[(1,4),(2,6),(3,7),(5,8),(9,10)]=>10
[(1,3),(2,6),(4,7),(5,8),(9,10)]=>20
[(1,2),(3,6),(4,7),(5,8),(9,10)]=>10
[(1,2),(3,5),(4,7),(6,8),(9,10)]=>10
[(1,3),(2,5),(4,7),(6,8),(9,10)]=>10
[(1,4),(2,5),(3,7),(6,8),(9,10)]=>20
[(1,5),(2,4),(3,7),(6,8),(9,10)]=>20
[(1,6),(2,4),(3,7),(5,8),(9,10)]=>20
[(1,7),(2,4),(3,6),(5,8),(9,10)]=>20
[(1,8),(2,4),(3,6),(5,7),(9,10)]=>10
[(1,9),(2,4),(3,6),(5,7),(8,10)]=>10
[(1,10),(2,4),(3,6),(5,7),(8,9)]=>10
[(1,10),(2,3),(4,6),(5,7),(8,9)]=>10
[(1,9),(2,3),(4,6),(5,7),(8,10)]=>10
[(1,8),(2,3),(4,6),(5,7),(9,10)]=>20
[(1,7),(2,3),(4,6),(5,8),(9,10)]=>20
[(1,6),(2,3),(4,7),(5,8),(9,10)]=>10
[(1,5),(2,3),(4,7),(6,8),(9,10)]=>20
[(1,4),(2,3),(5,7),(6,8),(9,10)]=>20
[(1,3),(2,4),(5,7),(6,8),(9,10)]=>10
[(1,2),(3,4),(5,7),(6,8),(9,10)]=>10
[(1,2),(3,4),(5,8),(6,7),(9,10)]=>10
[(1,3),(2,4),(5,8),(6,7),(9,10)]=>20
[(1,4),(2,3),(5,8),(6,7),(9,10)]=>10
[(1,5),(2,3),(4,8),(6,7),(9,10)]=>10
[(1,6),(2,3),(4,8),(5,7),(9,10)]=>10
[(1,7),(2,3),(4,8),(5,6),(9,10)]=>10
[(1,8),(2,3),(4,7),(5,6),(9,10)]=>10
[(1,9),(2,3),(4,7),(5,6),(8,10)]=>20
[(1,10),(2,3),(4,7),(5,6),(8,9)]=>10
[(1,10),(2,4),(3,7),(5,6),(8,9)]=>20
[(1,9),(2,4),(3,7),(5,6),(8,10)]=>20
[(1,8),(2,4),(3,7),(5,6),(9,10)]=>20
[(1,7),(2,4),(3,8),(5,6),(9,10)]=>20
[(1,6),(2,4),(3,8),(5,7),(9,10)]=>10
[(1,5),(2,4),(3,8),(6,7),(9,10)]=>10
[(1,4),(2,5),(3,8),(6,7),(9,10)]=>10
[(1,3),(2,5),(4,8),(6,7),(9,10)]=>20
[(1,2),(3,5),(4,8),(6,7),(9,10)]=>20
[(1,2),(3,6),(4,8),(5,7),(9,10)]=>20
[(1,3),(2,6),(4,8),(5,7),(9,10)]=>20
[(1,4),(2,6),(3,8),(5,7),(9,10)]=>20
[(1,5),(2,6),(3,8),(4,7),(9,10)]=>20
[(1,6),(2,5),(3,8),(4,7),(9,10)]=>10
[(1,7),(2,5),(3,8),(4,6),(9,10)]=>20
[(1,8),(2,5),(3,7),(4,6),(9,10)]=>20
[(1,9),(2,5),(3,7),(4,6),(8,10)]=>20
[(1,9),(2,6),(3,7),(4,5),(8,10)]=>10
[(1,8),(2,6),(3,7),(4,5),(9,10)]=>10
[(1,7),(2,6),(3,8),(4,5),(9,10)]=>10
[(1,6),(2,7),(3,8),(4,5),(9,10)]=>5
[(1,5),(2,7),(3,8),(4,6),(9,10)]=>20
[(1,4),(2,7),(3,8),(5,6),(9,10)]=>10
[(1,3),(2,7),(4,8),(5,6),(9,10)]=>20
[(1,2),(3,7),(4,8),(5,6),(9,10)]=>10
[(1,2),(3,8),(4,7),(5,6),(9,10)]=>10
[(1,3),(2,8),(4,7),(5,6),(9,10)]=>20
[(1,4),(2,8),(3,7),(5,6),(9,10)]=>10
[(1,5),(2,8),(3,7),(4,6),(9,10)]=>20
[(1,6),(2,8),(3,7),(4,5),(9,10)]=>10
[(1,7),(2,8),(3,6),(4,5),(9,10)]=>10
[(1,8),(2,7),(3,6),(4,5),(9,10)]=>5
[(1,9),(2,7),(3,6),(4,5),(8,10)]=>10
[(1,9),(2,8),(3,6),(4,5),(7,10)]=>20
[(1,8),(2,9),(3,6),(4,5),(7,10)]=>10
[(1,7),(2,9),(3,6),(4,5),(8,10)]=>20
[(1,6),(2,9),(3,7),(4,5),(8,10)]=>20
[(1,5),(2,9),(3,7),(4,6),(8,10)]=>20
[(1,4),(2,9),(3,7),(5,6),(8,10)]=>20
[(1,3),(2,9),(4,7),(5,6),(8,10)]=>10
[(1,2),(3,9),(4,7),(5,6),(8,10)]=>20
[(1,2),(3,10),(4,7),(5,6),(8,9)]=>10
[(1,3),(2,10),(4,7),(5,6),(8,9)]=>20
[(1,4),(2,10),(3,7),(5,6),(8,9)]=>20
[(1,5),(2,10),(3,7),(4,6),(8,9)]=>20
[(1,6),(2,10),(3,7),(4,5),(8,9)]=>20
[(1,7),(2,10),(3,6),(4,5),(8,9)]=>20
[(1,8),(2,10),(3,6),(4,5),(7,9)]=>10
[(1,9),(2,10),(3,6),(4,5),(7,8)]=>20
[(1,9),(2,10),(3,7),(4,5),(6,8)]=>20
[(1,8),(2,10),(3,7),(4,5),(6,9)]=>20
[(1,7),(2,10),(3,8),(4,5),(6,9)]=>20
[(1,6),(2,10),(3,8),(4,5),(7,9)]=>10
[(1,5),(2,10),(3,8),(4,6),(7,9)]=>10
[(1,4),(2,10),(3,8),(5,6),(7,9)]=>20
[(1,3),(2,10),(4,8),(5,6),(7,9)]=>20
[(1,2),(3,10),(4,8),(5,6),(7,9)]=>20
[(1,2),(3,9),(4,8),(5,6),(7,10)]=>10
[(1,3),(2,9),(4,8),(5,6),(7,10)]=>20
[(1,4),(2,9),(3,8),(5,6),(7,10)]=>10
[(1,5),(2,9),(3,8),(4,6),(7,10)]=>20
[(1,6),(2,9),(3,8),(4,5),(7,10)]=>10
[(1,7),(2,9),(3,8),(4,5),(6,10)]=>20
[(1,8),(2,9),(3,7),(4,5),(6,10)]=>20
[(1,9),(2,8),(3,7),(4,5),(6,10)]=>20
[(1,9),(2,7),(3,8),(4,5),(6,10)]=>20
[(1,8),(2,7),(3,9),(4,5),(6,10)]=>10
[(1,7),(2,8),(3,9),(4,5),(6,10)]=>10
[(1,6),(2,8),(3,9),(4,5),(7,10)]=>20
[(1,5),(2,8),(3,9),(4,6),(7,10)]=>20
[(1,4),(2,8),(3,9),(5,6),(7,10)]=>10
[(1,3),(2,8),(4,9),(5,6),(7,10)]=>20
[(1,2),(3,8),(4,9),(5,6),(7,10)]=>10
[(1,2),(3,7),(4,9),(5,6),(8,10)]=>20
[(1,3),(2,7),(4,9),(5,6),(8,10)]=>10
[(1,4),(2,7),(3,9),(5,6),(8,10)]=>20
[(1,5),(2,7),(3,9),(4,6),(8,10)]=>10
[(1,6),(2,7),(3,9),(4,5),(8,10)]=>20
[(1,7),(2,6),(3,9),(4,5),(8,10)]=>20
[(1,8),(2,6),(3,9),(4,5),(7,10)]=>20
[(1,9),(2,6),(3,8),(4,5),(7,10)]=>20
[(1,9),(2,5),(3,8),(4,6),(7,10)]=>10
[(1,8),(2,5),(3,9),(4,6),(7,10)]=>20
[(1,7),(2,5),(3,9),(4,6),(8,10)]=>20
[(1,6),(2,5),(3,9),(4,7),(8,10)]=>20
[(1,5),(2,6),(3,9),(4,7),(8,10)]=>20
[(1,4),(2,6),(3,9),(5,7),(8,10)]=>10
[(1,3),(2,6),(4,9),(5,7),(8,10)]=>10
[(1,2),(3,6),(4,9),(5,7),(8,10)]=>20
[(1,2),(3,5),(4,9),(6,7),(8,10)]=>5
[(1,3),(2,5),(4,9),(6,7),(8,10)]=>20
[(1,4),(2,5),(3,9),(6,7),(8,10)]=>20
[(1,5),(2,4),(3,9),(6,7),(8,10)]=>20
[(1,6),(2,4),(3,9),(5,7),(8,10)]=>10
[(1,7),(2,4),(3,9),(5,6),(8,10)]=>20
[(1,8),(2,4),(3,9),(5,6),(7,10)]=>20
[(1,9),(2,4),(3,8),(5,6),(7,10)]=>20
[(1,10),(2,4),(3,8),(5,6),(7,9)]=>5
[(1,10),(2,3),(4,8),(5,6),(7,9)]=>20
[(1,9),(2,3),(4,8),(5,6),(7,10)]=>20
[(1,8),(2,3),(4,9),(5,6),(7,10)]=>10
[(1,7),(2,3),(4,9),(5,6),(8,10)]=>10
[(1,6),(2,3),(4,9),(5,7),(8,10)]=>10
[(1,5),(2,3),(4,9),(6,7),(8,10)]=>20
[(1,4),(2,3),(5,9),(6,7),(8,10)]=>20
[(1,3),(2,4),(5,9),(6,7),(8,10)]=>20
[(1,2),(3,4),(5,9),(6,7),(8,10)]=>20
[(1,2),(3,4),(5,10),(6,7),(8,9)]=>5
[(1,3),(2,4),(5,10),(6,7),(8,9)]=>10
[(1,4),(2,3),(5,10),(6,7),(8,9)]=>10
[(1,5),(2,3),(4,10),(6,7),(8,9)]=>10
[(1,6),(2,3),(4,10),(5,7),(8,9)]=>20
[(1,7),(2,3),(4,10),(5,6),(8,9)]=>10
[(1,8),(2,3),(4,10),(5,6),(7,9)]=>20
[(1,9),(2,3),(4,10),(5,6),(7,8)]=>20
[(1,10),(2,3),(4,9),(5,6),(7,8)]=>5
[(1,10),(2,4),(3,9),(5,6),(7,8)]=>20
[(1,9),(2,4),(3,10),(5,6),(7,8)]=>10
[(1,8),(2,4),(3,10),(5,6),(7,9)]=>10
[(1,7),(2,4),(3,10),(5,6),(8,9)]=>20
[(1,6),(2,4),(3,10),(5,7),(8,9)]=>20
[(1,5),(2,4),(3,10),(6,7),(8,9)]=>20
[(1,4),(2,5),(3,10),(6,7),(8,9)]=>10
[(1,3),(2,5),(4,10),(6,7),(8,9)]=>20
[(1,2),(3,5),(4,10),(6,7),(8,9)]=>20
[(1,2),(3,6),(4,10),(5,7),(8,9)]=>20
[(1,3),(2,6),(4,10),(5,7),(8,9)]=>20
[(1,4),(2,6),(3,10),(5,7),(8,9)]=>20
[(1,5),(2,6),(3,10),(4,7),(8,9)]=>10
[(1,6),(2,5),(3,10),(4,7),(8,9)]=>10
[(1,7),(2,5),(3,10),(4,6),(8,9)]=>20
[(1,8),(2,5),(3,10),(4,6),(7,9)]=>10
[(1,9),(2,5),(3,10),(4,6),(7,8)]=>10
[(1,9),(2,6),(3,10),(4,5),(7,8)]=>20
[(1,8),(2,6),(3,10),(4,5),(7,9)]=>20
[(1,7),(2,6),(3,10),(4,5),(8,9)]=>10
[(1,6),(2,7),(3,10),(4,5),(8,9)]=>10
[(1,5),(2,7),(3,10),(4,6),(8,9)]=>20
[(1,4),(2,7),(3,10),(5,6),(8,9)]=>10
[(1,3),(2,7),(4,10),(5,6),(8,9)]=>10
[(1,2),(3,7),(4,10),(5,6),(8,9)]=>10
[(1,2),(3,8),(4,10),(5,6),(7,9)]=>20
[(1,3),(2,8),(4,10),(5,6),(7,9)]=>20
[(1,4),(2,8),(3,10),(5,6),(7,9)]=>20
[(1,5),(2,8),(3,10),(4,6),(7,9)]=>10
[(1,6),(2,8),(3,10),(4,5),(7,9)]=>20
[(1,7),(2,8),(3,10),(4,5),(6,9)]=>10
[(1,8),(2,7),(3,10),(4,5),(6,9)]=>10
[(1,9),(2,7),(3,10),(4,5),(6,8)]=>20
[(1,9),(2,8),(3,10),(4,5),(6,7)]=>20
[(1,8),(2,9),(3,10),(4,5),(6,7)]=>10
[(1,7),(2,9),(3,10),(4,5),(6,8)]=>20
[(1,6),(2,9),(3,10),(4,5),(7,8)]=>10
[(1,5),(2,9),(3,10),(4,6),(7,8)]=>20
[(1,4),(2,9),(3,10),(5,6),(7,8)]=>10
[(1,3),(2,9),(4,10),(5,6),(7,8)]=>20
[(1,2),(3,9),(4,10),(5,6),(7,8)]=>10
[(1,2),(3,10),(4,9),(5,6),(7,8)]=>10
[(1,3),(2,10),(4,9),(5,6),(7,8)]=>10
[(1,4),(2,10),(3,9),(5,6),(7,8)]=>20
[(1,5),(2,10),(3,9),(4,6),(7,8)]=>20
[(1,6),(2,10),(3,9),(4,5),(7,8)]=>10
[(1,7),(2,10),(3,9),(4,5),(6,8)]=>20
[(1,8),(2,10),(3,9),(4,5),(6,7)]=>20
[(1,9),(2,10),(3,8),(4,5),(6,7)]=>10
[(1,9),(2,10),(3,8),(4,6),(5,7)]=>5
[(1,8),(2,10),(3,9),(4,6),(5,7)]=>20
[(1,7),(2,10),(3,9),(4,6),(5,8)]=>20
[(1,6),(2,10),(3,9),(4,7),(5,8)]=>10
[(1,5),(2,10),(3,9),(4,7),(6,8)]=>20
[(1,4),(2,10),(3,9),(5,7),(6,8)]=>20
[(1,3),(2,10),(4,9),(5,7),(6,8)]=>5
[(1,2),(3,10),(4,9),(5,7),(6,8)]=>10
[(1,2),(3,9),(4,10),(5,7),(6,8)]=>10
[(1,3),(2,9),(4,10),(5,7),(6,8)]=>20
[(1,4),(2,9),(3,10),(5,7),(6,8)]=>10
[(1,5),(2,9),(3,10),(4,7),(6,8)]=>20
[(1,6),(2,9),(3,10),(4,7),(5,8)]=>5
[(1,7),(2,9),(3,10),(4,6),(5,8)]=>20
[(1,8),(2,9),(3,10),(4,6),(5,7)]=>10
[(1,9),(2,8),(3,10),(4,6),(5,7)]=>20
[(1,9),(2,7),(3,10),(4,6),(5,8)]=>10
[(1,8),(2,7),(3,10),(4,6),(5,9)]=>20
[(1,7),(2,8),(3,10),(4,6),(5,9)]=>20
[(1,6),(2,8),(3,10),(4,7),(5,9)]=>10
[(1,5),(2,8),(3,10),(4,7),(6,9)]=>10
[(1,4),(2,8),(3,10),(5,7),(6,9)]=>20
[(1,3),(2,8),(4,10),(5,7),(6,9)]=>20
[(1,2),(3,8),(4,10),(5,7),(6,9)]=>20
[(1,2),(3,7),(4,10),(5,8),(6,9)]=>20
[(1,3),(2,7),(4,10),(5,8),(6,9)]=>10
[(1,4),(2,7),(3,10),(5,8),(6,9)]=>5
[(1,5),(2,7),(3,10),(4,8),(6,9)]=>10
[(1,6),(2,7),(3,10),(4,8),(5,9)]=>10
[(1,7),(2,6),(3,10),(4,8),(5,9)]=>10
[(1,8),(2,6),(3,10),(4,7),(5,9)]=>10
[(1,9),(2,6),(3,10),(4,7),(5,8)]=>20
[(1,9),(2,5),(3,10),(4,7),(6,8)]=>10
[(1,8),(2,5),(3,10),(4,7),(6,9)]=>2
[(1,7),(2,5),(3,10),(4,8),(6,9)]=>10
[(1,6),(2,5),(3,10),(4,8),(7,9)]=>20
[(1,5),(2,6),(3,10),(4,8),(7,9)]=>20
[(1,4),(2,6),(3,10),(5,8),(7,9)]=>20
[(1,3),(2,6),(4,10),(5,8),(7,9)]=>20
[(1,2),(3,6),(4,10),(5,8),(7,9)]=>20
[(1,2),(3,5),(4,10),(6,8),(7,9)]=>20
[(1,3),(2,5),(4,10),(6,8),(7,9)]=>20
[(1,4),(2,5),(3,10),(6,8),(7,9)]=>10
[(1,5),(2,4),(3,10),(6,8),(7,9)]=>20
[(1,6),(2,4),(3,10),(5,8),(7,9)]=>10
[(1,7),(2,4),(3,10),(5,8),(6,9)]=>20
[(1,8),(2,4),(3,10),(5,7),(6,9)]=>10
[(1,9),(2,4),(3,10),(5,7),(6,8)]=>10
[(1,10),(2,4),(3,9),(5,7),(6,8)]=>20
[(1,10),(2,3),(4,9),(5,7),(6,8)]=>10
[(1,9),(2,3),(4,10),(5,7),(6,8)]=>20
[(1,8),(2,3),(4,10),(5,7),(6,9)]=>20
[(1,7),(2,3),(4,10),(5,8),(6,9)]=>20
[(1,6),(2,3),(4,10),(5,8),(7,9)]=>20
[(1,5),(2,3),(4,10),(6,8),(7,9)]=>10
[(1,4),(2,3),(5,10),(6,8),(7,9)]=>10
[(1,3),(2,4),(5,10),(6,8),(7,9)]=>5
[(1,2),(3,4),(5,10),(6,8),(7,9)]=>10
[(1,2),(3,4),(5,9),(6,8),(7,10)]=>20
[(1,3),(2,4),(5,9),(6,8),(7,10)]=>20
[(1,4),(2,3),(5,9),(6,8),(7,10)]=>20
[(1,5),(2,3),(4,9),(6,8),(7,10)]=>20
[(1,6),(2,3),(4,9),(5,8),(7,10)]=>10
[(1,7),(2,3),(4,9),(5,8),(6,10)]=>20
[(1,8),(2,3),(4,9),(5,7),(6,10)]=>20
[(1,9),(2,3),(4,8),(5,7),(6,10)]=>20
[(1,10),(2,3),(4,8),(5,7),(6,9)]=>20
[(1,10),(2,4),(3,8),(5,7),(6,9)]=>20
[(1,9),(2,4),(3,8),(5,7),(6,10)]=>10
[(1,8),(2,4),(3,9),(5,7),(6,10)]=>10
[(1,7),(2,4),(3,9),(5,8),(6,10)]=>20
[(1,6),(2,4),(3,9),(5,8),(7,10)]=>20
[(1,5),(2,4),(3,9),(6,8),(7,10)]=>20
[(1,4),(2,5),(3,9),(6,8),(7,10)]=>20
[(1,3),(2,5),(4,9),(6,8),(7,10)]=>10
[(1,2),(3,5),(4,9),(6,8),(7,10)]=>20
[(1,2),(3,6),(4,9),(5,8),(7,10)]=>10
[(1,3),(2,6),(4,9),(5,8),(7,10)]=>20
[(1,4),(2,6),(3,9),(5,8),(7,10)]=>10
[(1,5),(2,6),(3,9),(4,8),(7,10)]=>10
[(1,6),(2,5),(3,9),(4,8),(7,10)]=>5
[(1,7),(2,5),(3,9),(4,8),(6,10)]=>10
[(1,8),(2,5),(3,9),(4,7),(6,10)]=>10
[(1,9),(2,5),(3,8),(4,7),(6,10)]=>20
[(1,9),(2,6),(3,8),(4,7),(5,10)]=>20
[(1,8),(2,6),(3,9),(4,7),(5,10)]=>10
[(1,7),(2,6),(3,9),(4,8),(5,10)]=>5
[(1,6),(2,7),(3,9),(4,8),(5,10)]=>5
[(1,5),(2,7),(3,9),(4,8),(6,10)]=>5
[(1,4),(2,7),(3,9),(5,8),(6,10)]=>10
[(1,3),(2,7),(4,9),(5,8),(6,10)]=>20
[(1,2),(3,7),(4,9),(5,8),(6,10)]=>10
[(1,2),(3,8),(4,9),(5,7),(6,10)]=>20
[(1,3),(2,8),(4,9),(5,7),(6,10)]=>10
[(1,4),(2,8),(3,9),(5,7),(6,10)]=>20
[(1,5),(2,8),(3,9),(4,7),(6,10)]=>10
[(1,6),(2,8),(3,9),(4,7),(5,10)]=>10
[(1,7),(2,8),(3,9),(4,6),(5,10)]=>10
[(1,8),(2,7),(3,9),(4,6),(5,10)]=>20
[(1,9),(2,7),(3,8),(4,6),(5,10)]=>5
[(1,9),(2,8),(3,7),(4,6),(5,10)]=>5
[(1,8),(2,9),(3,7),(4,6),(5,10)]=>10
[(1,7),(2,9),(3,8),(4,6),(5,10)]=>20
[(1,6),(2,9),(3,8),(4,7),(5,10)]=>5
[(1,5),(2,9),(3,8),(4,7),(6,10)]=>5
[(1,4),(2,9),(3,8),(5,7),(6,10)]=>20
[(1,3),(2,9),(4,8),(5,7),(6,10)]=>20
[(1,2),(3,9),(4,8),(5,7),(6,10)]=>20
[(1,2),(3,10),(4,8),(5,7),(6,9)]=>20
[(1,3),(2,10),(4,8),(5,7),(6,9)]=>20
[(1,4),(2,10),(3,8),(5,7),(6,9)]=>10
[(1,5),(2,10),(3,8),(4,7),(6,9)]=>20
[(1,6),(2,10),(3,8),(4,7),(5,9)]=>20
[(1,7),(2,10),(3,8),(4,6),(5,9)]=>10
[(1,8),(2,10),(3,7),(4,6),(5,9)]=>20
[(1,9),(2,10),(3,7),(4,6),(5,8)]=>20
[(1,9),(2,10),(3,6),(4,7),(5,8)]=>10
[(1,8),(2,10),(3,6),(4,7),(5,9)]=>20
[(1,7),(2,10),(3,6),(4,8),(5,9)]=>20
[(1,6),(2,10),(3,7),(4,8),(5,9)]=>10
[(1,5),(2,10),(3,7),(4,8),(6,9)]=>20
[(1,4),(2,10),(3,7),(5,8),(6,9)]=>20
[(1,3),(2,10),(4,7),(5,8),(6,9)]=>10
[(1,2),(3,10),(4,7),(5,8),(6,9)]=>10
[(1,2),(3,9),(4,7),(5,8),(6,10)]=>20
[(1,3),(2,9),(4,7),(5,8),(6,10)]=>20
[(1,4),(2,9),(3,7),(5,8),(6,10)]=>10
[(1,5),(2,9),(3,7),(4,8),(6,10)]=>10
[(1,6),(2,9),(3,7),(4,8),(5,10)]=>10
[(1,7),(2,9),(3,6),(4,8),(5,10)]=>10
[(1,8),(2,9),(3,6),(4,7),(5,10)]=>5
[(1,9),(2,8),(3,6),(4,7),(5,10)]=>10
[(1,9),(2,7),(3,6),(4,8),(5,10)]=>20
[(1,8),(2,7),(3,6),(4,9),(5,10)]=>5
[(1,7),(2,8),(3,6),(4,9),(5,10)]=>10
[(1,6),(2,8),(3,7),(4,9),(5,10)]=>5
[(1,5),(2,8),(3,7),(4,9),(6,10)]=>5
[(1,4),(2,8),(3,7),(5,9),(6,10)]=>10
[(1,3),(2,8),(4,7),(5,9),(6,10)]=>20
[(1,2),(3,8),(4,7),(5,9),(6,10)]=>20
[(1,2),(3,7),(4,8),(5,9),(6,10)]=>10
[(1,3),(2,7),(4,8),(5,9),(6,10)]=>10
[(1,4),(2,7),(3,8),(5,9),(6,10)]=>10
[(1,5),(2,7),(3,8),(4,9),(6,10)]=>5
[(1,6),(2,7),(3,8),(4,9),(5,10)]=>1
[(1,7),(2,6),(3,8),(4,9),(5,10)]=>5
[(1,8),(2,6),(3,7),(4,9),(5,10)]=>10
[(1,9),(2,6),(3,7),(4,8),(5,10)]=>10
[(1,9),(2,5),(3,7),(4,8),(6,10)]=>20
[(1,8),(2,5),(3,7),(4,9),(6,10)]=>10
[(1,7),(2,5),(3,8),(4,9),(6,10)]=>10
[(1,6),(2,5),(3,8),(4,9),(7,10)]=>5
[(1,5),(2,6),(3,8),(4,9),(7,10)]=>10
[(1,4),(2,6),(3,8),(5,9),(7,10)]=>10
[(1,3),(2,6),(4,8),(5,9),(7,10)]=>20
[(1,2),(3,6),(4,8),(5,9),(7,10)]=>10
[(1,2),(3,5),(4,8),(6,9),(7,10)]=>20
[(1,3),(2,5),(4,8),(6,9),(7,10)]=>20
[(1,4),(2,5),(3,8),(6,9),(7,10)]=>5
[(1,5),(2,4),(3,8),(6,9),(7,10)]=>10
[(1,6),(2,4),(3,8),(5,9),(7,10)]=>20
[(1,7),(2,4),(3,8),(5,9),(6,10)]=>10
[(1,8),(2,4),(3,7),(5,9),(6,10)]=>20
[(1,9),(2,4),(3,7),(5,8),(6,10)]=>10
[(1,10),(2,4),(3,7),(5,8),(6,9)]=>20
[(1,10),(2,3),(4,7),(5,8),(6,9)]=>10
[(1,9),(2,3),(4,7),(5,8),(6,10)]=>20
[(1,8),(2,3),(4,7),(5,9),(6,10)]=>10
[(1,7),(2,3),(4,8),(5,9),(6,10)]=>10
[(1,6),(2,3),(4,8),(5,9),(7,10)]=>20
[(1,5),(2,3),(4,8),(6,9),(7,10)]=>20
[(1,4),(2,3),(5,8),(6,9),(7,10)]=>10
[(1,3),(2,4),(5,8),(6,9),(7,10)]=>10
[(1,2),(3,4),(5,8),(6,9),(7,10)]=>10
[(1,2),(3,4),(5,7),(6,9),(8,10)]=>10
[(1,3),(2,4),(5,7),(6,9),(8,10)]=>10
[(1,4),(2,3),(5,7),(6,9),(8,10)]=>10
[(1,5),(2,3),(4,7),(6,9),(8,10)]=>20
[(1,6),(2,3),(4,7),(5,9),(8,10)]=>20
[(1,7),(2,3),(4,6),(5,9),(8,10)]=>20
[(1,8),(2,3),(4,6),(5,9),(7,10)]=>20
[(1,9),(2,3),(4,6),(5,8),(7,10)]=>10
[(1,10),(2,3),(4,6),(5,8),(7,9)]=>10
[(1,10),(2,4),(3,6),(5,8),(7,9)]=>10
[(1,9),(2,4),(3,6),(5,8),(7,10)]=>10
[(1,8),(2,4),(3,6),(5,9),(7,10)]=>20
[(1,7),(2,4),(3,6),(5,9),(8,10)]=>20
[(1,6),(2,4),(3,7),(5,9),(8,10)]=>10
[(1,5),(2,4),(3,7),(6,9),(8,10)]=>20
[(1,4),(2,5),(3,7),(6,9),(8,10)]=>20
[(1,3),(2,5),(4,7),(6,9),(8,10)]=>10
[(1,2),(3,5),(4,7),(6,9),(8,10)]=>10
[(1,2),(3,6),(4,7),(5,9),(8,10)]=>20
[(1,3),(2,6),(4,7),(5,9),(8,10)]=>10
[(1,4),(2,6),(3,7),(5,9),(8,10)]=>20
[(1,5),(2,6),(3,7),(4,9),(8,10)]=>10
[(1,6),(2,5),(3,7),(4,9),(8,10)]=>20
[(1,7),(2,5),(3,6),(4,9),(8,10)]=>10
[(1,8),(2,5),(3,6),(4,9),(7,10)]=>5
[(1,9),(2,5),(3,6),(4,8),(7,10)]=>20
[(1,10),(2,5),(3,6),(4,8),(7,9)]=>20
[(1,9),(2,6),(3,5),(4,8),(7,10)]=>20
[(1,8),(2,6),(3,5),(4,9),(7,10)]=>10
[(1,7),(2,6),(3,5),(4,9),(8,10)]=>5
[(1,6),(2,7),(3,5),(4,9),(8,10)]=>5
[(1,5),(2,7),(3,6),(4,9),(8,10)]=>20
[(1,4),(2,7),(3,6),(5,9),(8,10)]=>20
[(1,3),(2,7),(4,6),(5,9),(8,10)]=>10
[(1,2),(3,7),(4,6),(5,9),(8,10)]=>20
[(1,2),(3,8),(4,6),(5,9),(7,10)]=>20
[(1,3),(2,8),(4,6),(5,9),(7,10)]=>10
[(1,4),(2,8),(3,6),(5,9),(7,10)]=>10
[(1,5),(2,8),(3,6),(4,9),(7,10)]=>10
[(1,6),(2,8),(3,5),(4,9),(7,10)]=>20
[(1,7),(2,8),(3,5),(4,9),(6,10)]=>10
[(1,8),(2,7),(3,5),(4,9),(6,10)]=>20
[(1,9),(2,7),(3,5),(4,8),(6,10)]=>10
[(1,9),(2,8),(3,5),(4,7),(6,10)]=>20
[(1,8),(2,9),(3,5),(4,7),(6,10)]=>20
[(1,7),(2,9),(3,5),(4,8),(6,10)]=>20
[(1,6),(2,9),(3,5),(4,8),(7,10)]=>20
[(1,5),(2,9),(3,6),(4,8),(7,10)]=>10
[(1,4),(2,9),(3,6),(5,8),(7,10)]=>2
[(1,3),(2,9),(4,6),(5,8),(7,10)]=>10
[(1,2),(3,9),(4,6),(5,8),(7,10)]=>20
[(1,2),(3,10),(4,6),(5,8),(7,9)]=>10
[(1,3),(2,10),(4,6),(5,8),(7,9)]=>10
[(1,4),(2,10),(3,6),(5,8),(7,9)]=>10
[(1,5),(2,10),(3,6),(4,8),(7,9)]=>10
[(1,6),(2,10),(3,5),(4,8),(7,9)]=>10
[(1,7),(2,10),(3,5),(4,8),(6,9)]=>10
[(1,8),(2,10),(3,5),(4,7),(6,9)]=>10
[(1,9),(2,10),(3,5),(4,7),(6,8)]=>10
[(1,9),(2,10),(3,4),(5,7),(6,8)]=>10
[(1,8),(2,10),(3,4),(5,7),(6,9)]=>10
[(1,7),(2,10),(3,4),(5,8),(6,9)]=>20
[(1,6),(2,10),(3,4),(5,8),(7,9)]=>20
[(1,5),(2,10),(3,4),(6,8),(7,9)]=>20
[(1,4),(2,10),(3,5),(6,8),(7,9)]=>10
[(1,3),(2,10),(4,5),(6,8),(7,9)]=>10
[(1,2),(3,10),(4,5),(6,8),(7,9)]=>20
[(1,2),(3,9),(4,5),(6,8),(7,10)]=>20
[(1,3),(2,9),(4,5),(6,8),(7,10)]=>10
[(1,4),(2,9),(3,5),(6,8),(7,10)]=>10
[(1,5),(2,9),(3,4),(6,8),(7,10)]=>20
[(1,6),(2,9),(3,4),(5,8),(7,10)]=>10
[(1,7),(2,9),(3,4),(5,8),(6,10)]=>10
[(1,8),(2,9),(3,4),(5,7),(6,10)]=>20
[(1,9),(2,8),(3,4),(5,7),(6,10)]=>20
[(1,9),(2,7),(3,4),(5,8),(6,10)]=>20
[(1,8),(2,7),(3,4),(5,9),(6,10)]=>20
[(1,7),(2,8),(3,4),(5,9),(6,10)]=>10
[(1,6),(2,8),(3,4),(5,9),(7,10)]=>10
[(1,5),(2,8),(3,4),(6,9),(7,10)]=>20
[(1,4),(2,8),(3,5),(6,9),(7,10)]=>20
[(1,3),(2,8),(4,5),(6,9),(7,10)]=>20
[(1,2),(3,8),(4,5),(6,9),(7,10)]=>10
[(1,2),(3,7),(4,5),(6,9),(8,10)]=>20
[(1,3),(2,7),(4,5),(6,9),(8,10)]=>20
[(1,4),(2,7),(3,5),(6,9),(8,10)]=>10
[(1,5),(2,7),(3,4),(6,9),(8,10)]=>20
[(1,6),(2,7),(3,4),(5,9),(8,10)]=>20
[(1,7),(2,6),(3,4),(5,9),(8,10)]=>20
[(1,8),(2,6),(3,4),(5,9),(7,10)]=>20
[(1,9),(2,6),(3,4),(5,8),(7,10)]=>20
[(1,10),(2,5),(3,4),(6,8),(7,9)]=>20
[(1,9),(2,5),(3,4),(6,8),(7,10)]=>10
[(1,8),(2,5),(3,4),(6,9),(7,10)]=>10
[(1,7),(2,5),(3,4),(6,9),(8,10)]=>20
[(1,6),(2,5),(3,4),(7,9),(8,10)]=>10
[(1,5),(2,6),(3,4),(7,9),(8,10)]=>10
[(1,4),(2,6),(3,5),(7,9),(8,10)]=>20
[(1,3),(2,6),(4,5),(7,9),(8,10)]=>20
[(1,2),(3,6),(4,5),(7,9),(8,10)]=>20
[(1,2),(3,5),(4,6),(7,9),(8,10)]=>10
[(1,3),(2,5),(4,6),(7,9),(8,10)]=>10
[(1,4),(2,5),(3,6),(7,9),(8,10)]=>10
[(1,5),(2,4),(3,6),(7,9),(8,10)]=>20
[(1,6),(2,4),(3,5),(7,9),(8,10)]=>5
[(1,7),(2,4),(3,5),(6,9),(8,10)]=>20
[(1,8),(2,4),(3,5),(6,9),(7,10)]=>10
[(1,9),(2,4),(3,5),(6,8),(7,10)]=>10
[(1,10),(2,4),(3,5),(6,8),(7,9)]=>10
[(1,10),(2,3),(4,5),(6,8),(7,9)]=>10
[(1,9),(2,3),(4,5),(6,8),(7,10)]=>10
[(1,8),(2,3),(4,5),(6,9),(7,10)]=>10
[(1,7),(2,3),(4,5),(6,9),(8,10)]=>20
[(1,6),(2,3),(4,5),(7,9),(8,10)]=>10
[(1,5),(2,3),(4,6),(7,9),(8,10)]=>20
[(1,4),(2,3),(5,6),(7,9),(8,10)]=>20
[(1,3),(2,4),(5,6),(7,9),(8,10)]=>10
[(1,2),(3,4),(5,6),(7,9),(8,10)]=>10
[(1,2),(3,4),(5,6),(7,10),(8,9)]=>10
[(1,3),(2,4),(5,6),(7,10),(8,9)]=>20
[(1,4),(2,3),(5,6),(7,10),(8,9)]=>10
[(1,5),(2,3),(4,6),(7,10),(8,9)]=>20
[(1,6),(2,3),(4,5),(7,10),(8,9)]=>10
[(1,7),(2,3),(4,5),(6,10),(8,9)]=>10
[(1,8),(2,3),(4,5),(6,10),(7,9)]=>20
[(1,9),(2,3),(4,5),(6,10),(7,8)]=>20
[(1,10),(2,3),(4,5),(6,9),(7,8)]=>10
[(1,10),(2,4),(3,5),(6,9),(7,8)]=>20
[(1,9),(2,4),(3,5),(6,10),(7,8)]=>20
[(1,8),(2,4),(3,5),(6,10),(7,9)]=>20
[(1,7),(2,4),(3,5),(6,10),(8,9)]=>10
[(1,6),(2,4),(3,5),(7,10),(8,9)]=>10
[(1,5),(2,4),(3,6),(7,10),(8,9)]=>20
[(1,4),(2,5),(3,6),(7,10),(8,9)]=>10
[(1,3),(2,5),(4,6),(7,10),(8,9)]=>10
[(1,2),(3,5),(4,6),(7,10),(8,9)]=>20
[(1,2),(3,6),(4,5),(7,10),(8,9)]=>10
[(1,3),(2,6),(4,5),(7,10),(8,9)]=>20
[(1,4),(2,6),(3,5),(7,10),(8,9)]=>20
[(1,5),(2,6),(3,4),(7,10),(8,9)]=>10
[(1,6),(2,5),(3,4),(7,10),(8,9)]=>5
[(1,7),(2,5),(3,4),(6,10),(8,9)]=>10
[(1,8),(2,5),(3,4),(6,10),(7,9)]=>20
[(1,9),(2,5),(3,4),(6,10),(7,8)]=>20
[(1,10),(2,5),(3,4),(6,9),(7,8)]=>10
[(1,9),(2,6),(3,4),(5,10),(7,8)]=>20
[(1,8),(2,6),(3,4),(5,10),(7,9)]=>20
[(1,7),(2,6),(3,4),(5,10),(8,9)]=>10
[(1,6),(2,7),(3,4),(5,10),(8,9)]=>5
[(1,5),(2,7),(3,4),(6,10),(8,9)]=>10
[(1,4),(2,7),(3,5),(6,10),(8,9)]=>20
[(1,3),(2,7),(4,5),(6,10),(8,9)]=>20
[(1,2),(3,7),(4,5),(6,10),(8,9)]=>10
[(1,2),(3,8),(4,5),(6,10),(7,9)]=>10
[(1,3),(2,8),(4,5),(6,10),(7,9)]=>20
[(1,4),(2,8),(3,5),(6,10),(7,9)]=>20
[(1,5),(2,8),(3,4),(6,10),(7,9)]=>20
[(1,6),(2,8),(3,4),(5,10),(7,9)]=>20
[(1,7),(2,8),(3,4),(5,10),(6,9)]=>20
[(1,8),(2,7),(3,4),(5,10),(6,9)]=>10
[(1,9),(2,7),(3,4),(5,10),(6,8)]=>10
[(1,9),(2,8),(3,4),(5,10),(6,7)]=>10
[(1,8),(2,9),(3,4),(5,10),(6,7)]=>10
[(1,7),(2,9),(3,4),(5,10),(6,8)]=>20
[(1,6),(2,9),(3,4),(5,10),(7,8)]=>10
[(1,5),(2,9),(3,4),(6,10),(7,8)]=>10
[(1,4),(2,9),(3,5),(6,10),(7,8)]=>20
[(1,3),(2,9),(4,5),(6,10),(7,8)]=>20
[(1,2),(3,9),(4,5),(6,10),(7,8)]=>10
[(1,2),(3,10),(4,5),(6,9),(7,8)]=>10
[(1,3),(2,10),(4,5),(6,9),(7,8)]=>20
[(1,4),(2,10),(3,5),(6,9),(7,8)]=>10
[(1,5),(2,10),(3,4),(6,9),(7,8)]=>20
[(1,6),(2,10),(3,4),(5,9),(7,8)]=>20
[(1,7),(2,10),(3,4),(5,9),(6,8)]=>20
[(1,8),(2,10),(3,4),(5,9),(6,7)]=>20
[(1,9),(2,10),(3,4),(5,8),(6,7)]=>20
[(1,9),(2,10),(3,5),(4,8),(6,7)]=>20
[(1,8),(2,10),(3,5),(4,9),(6,7)]=>20
[(1,7),(2,10),(3,5),(4,9),(6,8)]=>10
[(1,6),(2,10),(3,5),(4,9),(7,8)]=>10
[(1,5),(2,10),(3,6),(4,9),(7,8)]=>20
[(1,4),(2,10),(3,6),(5,9),(7,8)]=>20
[(1,3),(2,10),(4,6),(5,9),(7,8)]=>20
[(1,2),(3,10),(4,6),(5,9),(7,8)]=>20
[(1,2),(3,9),(4,6),(5,10),(7,8)]=>20
[(1,3),(2,9),(4,6),(5,10),(7,8)]=>20
[(1,4),(2,9),(3,6),(5,10),(7,8)]=>10
[(1,5),(2,9),(3,6),(4,10),(7,8)]=>10
[(1,6),(2,9),(3,5),(4,10),(7,8)]=>20
[(1,7),(2,9),(3,5),(4,10),(6,8)]=>10
[(1,8),(2,9),(3,5),(4,10),(6,7)]=>20
[(1,9),(2,8),(3,5),(4,10),(6,7)]=>20
[(1,9),(2,7),(3,5),(4,10),(6,8)]=>10
[(1,8),(2,7),(3,5),(4,10),(6,9)]=>20
[(1,7),(2,8),(3,5),(4,10),(6,9)]=>20
[(1,6),(2,8),(3,5),(4,10),(7,9)]=>10
[(1,5),(2,8),(3,6),(4,10),(7,9)]=>20
[(1,4),(2,8),(3,6),(5,10),(7,9)]=>20
[(1,3),(2,8),(4,6),(5,10),(7,9)]=>10
[(1,2),(3,8),(4,6),(5,10),(7,9)]=>10
[(1,2),(3,7),(4,6),(5,10),(8,9)]=>10
[(1,3),(2,7),(4,6),(5,10),(8,9)]=>10
[(1,4),(2,7),(3,6),(5,10),(8,9)]=>10
[(1,5),(2,7),(3,6),(4,10),(8,9)]=>20
[(1,6),(2,7),(3,5),(4,10),(8,9)]=>20
[(1,7),(2,6),(3,5),(4,10),(8,9)]=>20
[(1,8),(2,6),(3,5),(4,10),(7,9)]=>20
[(1,9),(2,6),(3,5),(4,10),(7,8)]=>20
[(1,10),(2,5),(3,6),(4,9),(7,8)]=>10
[(1,9),(2,5),(3,6),(4,10),(7,8)]=>20
[(1,8),(2,5),(3,6),(4,10),(7,9)]=>20
[(1,7),(2,5),(3,6),(4,10),(8,9)]=>20
[(1,6),(2,5),(3,7),(4,10),(8,9)]=>10
[(1,5),(2,6),(3,7),(4,10),(8,9)]=>10
[(1,4),(2,6),(3,7),(5,10),(8,9)]=>20
[(1,3),(2,6),(4,7),(5,10),(8,9)]=>20
[(1,2),(3,6),(4,7),(5,10),(8,9)]=>10
[(1,2),(3,5),(4,7),(6,10),(8,9)]=>20
[(1,3),(2,5),(4,7),(6,10),(8,9)]=>20
[(1,4),(2,5),(3,7),(6,10),(8,9)]=>20
[(1,5),(2,4),(3,7),(6,10),(8,9)]=>20
[(1,6),(2,4),(3,7),(5,10),(8,9)]=>20
[(1,7),(2,4),(3,6),(5,10),(8,9)]=>20
[(1,8),(2,4),(3,6),(5,10),(7,9)]=>10
[(1,9),(2,4),(3,6),(5,10),(7,8)]=>20
[(1,10),(2,4),(3,6),(5,9),(7,8)]=>20
[(1,10),(2,3),(4,6),(5,9),(7,8)]=>20
[(1,9),(2,3),(4,6),(5,10),(7,8)]=>5
[(1,8),(2,3),(4,6),(5,10),(7,9)]=>20
[(1,7),(2,3),(4,6),(5,10),(8,9)]=>20
[(1,6),(2,3),(4,7),(5,10),(8,9)]=>10
[(1,5),(2,3),(4,7),(6,10),(8,9)]=>10
[(1,4),(2,3),(5,7),(6,10),(8,9)]=>20
[(1,3),(2,4),(5,7),(6,10),(8,9)]=>20
[(1,2),(3,4),(5,7),(6,10),(8,9)]=>20
[(1,2),(3,4),(5,8),(6,10),(7,9)]=>20
[(1,3),(2,4),(5,8),(6,10),(7,9)]=>20
[(1,4),(2,3),(5,8),(6,10),(7,9)]=>20
[(1,5),(2,3),(4,8),(6,10),(7,9)]=>20
[(1,6),(2,3),(4,8),(5,10),(7,9)]=>20
[(1,7),(2,3),(4,8),(5,10),(6,9)]=>10
[(1,8),(2,3),(4,7),(5,10),(6,9)]=>10
[(1,9),(2,3),(4,7),(5,10),(6,8)]=>20
[(1,10),(2,3),(4,7),(5,9),(6,8)]=>20
[(1,10),(2,4),(3,7),(5,9),(6,8)]=>20
[(1,9),(2,4),(3,7),(5,10),(6,8)]=>10
[(1,8),(2,4),(3,7),(5,10),(6,9)]=>20
[(1,7),(2,4),(3,8),(5,10),(6,9)]=>20
[(1,6),(2,4),(3,8),(5,10),(7,9)]=>5
[(1,5),(2,4),(3,8),(6,10),(7,9)]=>5
[(1,4),(2,5),(3,8),(6,10),(7,9)]=>10
[(1,3),(2,5),(4,8),(6,10),(7,9)]=>20
[(1,2),(3,5),(4,8),(6,10),(7,9)]=>20
[(1,2),(3,6),(4,8),(5,10),(7,9)]=>20
[(1,3),(2,6),(4,8),(5,10),(7,9)]=>10
[(1,4),(2,6),(3,8),(5,10),(7,9)]=>20
[(1,5),(2,6),(3,8),(4,10),(7,9)]=>10
[(1,6),(2,5),(3,8),(4,10),(7,9)]=>20
[(1,7),(2,5),(3,8),(4,10),(6,9)]=>10
[(1,8),(2,5),(3,7),(4,10),(6,9)]=>10
[(1,9),(2,5),(3,7),(4,10),(6,8)]=>10
[(1,9),(2,6),(3,7),(4,10),(5,8)]=>20
[(1,8),(2,6),(3,7),(4,10),(5,9)]=>10
[(1,7),(2,6),(3,8),(4,10),(5,9)]=>5
[(1,6),(2,7),(3,8),(4,10),(5,9)]=>5
[(1,5),(2,7),(3,8),(4,10),(6,9)]=>10
[(1,4),(2,7),(3,8),(5,10),(6,9)]=>5
[(1,3),(2,7),(4,8),(5,10),(6,9)]=>20
[(1,2),(3,7),(4,8),(5,10),(6,9)]=>20
[(1,2),(3,8),(4,7),(5,10),(6,9)]=>10
[(1,3),(2,8),(4,7),(5,10),(6,9)]=>20
[(1,4),(2,8),(3,7),(5,10),(6,9)]=>5
[(1,5),(2,8),(3,7),(4,10),(6,9)]=>10
[(1,6),(2,8),(3,7),(4,10),(5,9)]=>5
[(1,7),(2,8),(3,6),(4,10),(5,9)]=>10
[(1,8),(2,7),(3,6),(4,10),(5,9)]=>5
[(1,9),(2,7),(3,6),(4,10),(5,8)]=>20
[(1,9),(2,8),(3,6),(4,10),(5,7)]=>20
[(1,8),(2,9),(3,6),(4,10),(5,7)]=>20
[(1,7),(2,9),(3,6),(4,10),(5,8)]=>10
[(1,6),(2,9),(3,7),(4,10),(5,8)]=>10
[(1,5),(2,9),(3,7),(4,10),(6,8)]=>20
[(1,4),(2,9),(3,7),(5,10),(6,8)]=>20
[(1,3),(2,9),(4,7),(5,10),(6,8)]=>10
[(1,2),(3,9),(4,7),(5,10),(6,8)]=>20
[(1,2),(3,10),(4,7),(5,9),(6,8)]=>20
[(1,3),(2,10),(4,7),(5,9),(6,8)]=>20
[(1,4),(2,10),(3,7),(5,9),(6,8)]=>20
[(1,5),(2,10),(3,7),(4,9),(6,8)]=>10
[(1,6),(2,10),(3,7),(4,9),(5,8)]=>20
[(1,7),(2,10),(3,6),(4,9),(5,8)]=>20
[(1,8),(2,10),(3,6),(4,9),(5,7)]=>10
[(1,9),(2,10),(3,6),(4,8),(5,7)]=>20
[(1,9),(2,10),(3,7),(4,8),(5,6)]=>10
[(1,8),(2,10),(3,7),(4,9),(5,6)]=>20
[(1,7),(2,10),(3,8),(4,9),(5,6)]=>20
[(1,6),(2,10),(3,8),(4,9),(5,7)]=>5
[(1,5),(2,10),(3,8),(4,9),(6,7)]=>20
[(1,4),(2,10),(3,8),(5,9),(6,7)]=>20
[(1,3),(2,10),(4,8),(5,9),(6,7)]=>10
[(1,2),(3,10),(4,8),(5,9),(6,7)]=>10
[(1,2),(3,9),(4,8),(5,10),(6,7)]=>10
[(1,3),(2,9),(4,8),(5,10),(6,7)]=>20
[(1,4),(2,9),(3,8),(5,10),(6,7)]=>10
[(1,5),(2,9),(3,8),(4,10),(6,7)]=>20
[(1,6),(2,9),(3,8),(4,10),(5,7)]=>20
[(1,7),(2,9),(3,8),(4,10),(5,6)]=>10
[(1,8),(2,9),(3,7),(4,10),(5,6)]=>20
[(1,9),(2,8),(3,7),(4,10),(5,6)]=>20
[(1,9),(2,7),(3,8),(4,10),(5,6)]=>20
[(1,8),(2,7),(3,9),(4,10),(5,6)]=>20
[(1,7),(2,8),(3,9),(4,10),(5,6)]=>10
[(1,6),(2,8),(3,9),(4,10),(5,7)]=>10
[(1,5),(2,8),(3,9),(4,10),(6,7)]=>10
[(1,4),(2,8),(3,9),(5,10),(6,7)]=>20
[(1,3),(2,8),(4,9),(5,10),(6,7)]=>20
[(1,2),(3,8),(4,9),(5,10),(6,7)]=>5
[(1,2),(3,7),(4,9),(5,10),(6,8)]=>20
[(1,3),(2,7),(4,9),(5,10),(6,8)]=>5
[(1,4),(2,7),(3,9),(5,10),(6,8)]=>20
[(1,5),(2,7),(3,9),(4,10),(6,8)]=>10
[(1,6),(2,7),(3,9),(4,10),(5,8)]=>10
[(1,7),(2,6),(3,9),(4,10),(5,8)]=>10
[(1,8),(2,6),(3,9),(4,10),(5,7)]=>20
[(1,9),(2,6),(3,8),(4,10),(5,7)]=>10
[(1,9),(2,5),(3,8),(4,10),(6,7)]=>20
[(1,8),(2,5),(3,9),(4,10),(6,7)]=>10
[(1,7),(2,5),(3,9),(4,10),(6,8)]=>20
[(1,6),(2,5),(3,9),(4,10),(7,8)]=>20
[(1,5),(2,6),(3,9),(4,10),(7,8)]=>10
[(1,4),(2,6),(3,9),(5,10),(7,8)]=>10
[(1,3),(2,6),(4,9),(5,10),(7,8)]=>20
[(1,2),(3,6),(4,9),(5,10),(7,8)]=>10
[(1,2),(3,5),(4,9),(6,10),(7,8)]=>20
[(1,3),(2,5),(4,9),(6,10),(7,8)]=>20
[(1,4),(2,5),(3,9),(6,10),(7,8)]=>20
[(1,5),(2,4),(3,9),(6,10),(7,8)]=>20
[(1,6),(2,4),(3,9),(5,10),(7,8)]=>20
[(1,7),(2,4),(3,9),(5,10),(6,8)]=>10
[(1,8),(2,4),(3,9),(5,10),(6,7)]=>20
[(1,9),(2,4),(3,8),(5,10),(6,7)]=>10
[(1,10),(2,4),(3,8),(5,9),(6,7)]=>20
[(1,10),(2,3),(4,8),(5,9),(6,7)]=>10
[(1,9),(2,3),(4,8),(5,10),(6,7)]=>20
[(1,8),(2,3),(4,9),(5,10),(6,7)]=>10
[(1,7),(2,3),(4,9),(5,10),(6,8)]=>20
[(1,6),(2,3),(4,9),(5,10),(7,8)]=>5
[(1,5),(2,3),(4,9),(6,10),(7,8)]=>10
[(1,4),(2,3),(5,9),(6,10),(7,8)]=>10
[(1,3),(2,4),(5,9),(6,10),(7,8)]=>10
[(1,2),(3,4),(5,9),(6,10),(7,8)]=>10
[(1,2),(3,4),(5,10),(6,9),(7,8)]=>10
[(1,3),(2,4),(5,10),(6,9),(7,8)]=>10
[(1,4),(2,3),(5,10),(6,9),(7,8)]=>5
[(1,5),(2,3),(4,10),(6,9),(7,8)]=>10
[(1,6),(2,3),(4,10),(5,9),(7,8)]=>10
[(1,7),(2,3),(4,10),(5,9),(6,8)]=>20
[(1,8),(2,3),(4,10),(5,9),(6,7)]=>10
[(1,9),(2,3),(4,10),(5,8),(6,7)]=>20
[(1,10),(2,3),(4,9),(5,8),(6,7)]=>10
[(1,10),(2,4),(3,9),(5,8),(6,7)]=>20
[(1,9),(2,4),(3,10),(5,8),(6,7)]=>10
[(1,8),(2,4),(3,10),(5,9),(6,7)]=>20
[(1,7),(2,4),(3,10),(5,9),(6,8)]=>20
[(1,6),(2,4),(3,10),(5,9),(7,8)]=>20
[(1,5),(2,4),(3,10),(6,9),(7,8)]=>20
[(1,4),(2,5),(3,10),(6,9),(7,8)]=>10
[(1,3),(2,5),(4,10),(6,9),(7,8)]=>20
[(1,2),(3,5),(4,10),(6,9),(7,8)]=>20
[(1,2),(3,6),(4,10),(5,9),(7,8)]=>10
[(1,3),(2,6),(4,10),(5,9),(7,8)]=>20
[(1,4),(2,6),(3,10),(5,9),(7,8)]=>20
[(1,5),(2,6),(3,10),(4,9),(7,8)]=>20
[(1,6),(2,5),(3,10),(4,9),(7,8)]=>10
[(1,7),(2,5),(3,10),(4,9),(6,8)]=>20
[(1,8),(2,5),(3,10),(4,9),(6,7)]=>10
[(1,9),(2,5),(3,10),(4,8),(6,7)]=>20
[(1,9),(2,6),(3,10),(4,8),(5,7)]=>20
[(1,8),(2,6),(3,10),(4,9),(5,7)]=>20
[(1,7),(2,6),(3,10),(4,9),(5,8)]=>5
[(1,6),(2,7),(3,10),(4,9),(5,8)]=>5
[(1,5),(2,7),(3,10),(4,9),(6,8)]=>20
[(1,4),(2,7),(3,10),(5,9),(6,8)]=>10
[(1,3),(2,7),(4,10),(5,9),(6,8)]=>5
[(1,2),(3,7),(4,10),(5,9),(6,8)]=>20
[(1,2),(3,8),(4,10),(5,9),(6,7)]=>10
[(1,3),(2,8),(4,10),(5,9),(6,7)]=>20
[(1,4),(2,8),(3,10),(5,9),(6,7)]=>20
[(1,5),(2,8),(3,10),(4,9),(6,7)]=>10
[(1,6),(2,8),(3,10),(4,9),(5,7)]=>20
[(1,7),(2,8),(3,10),(4,9),(5,6)]=>20
[(1,8),(2,7),(3,10),(4,9),(5,6)]=>10
[(1,9),(2,7),(3,10),(4,8),(5,6)]=>20
[(1,9),(2,8),(3,10),(4,7),(5,6)]=>20
[(1,8),(2,9),(3,10),(4,7),(5,6)]=>10
[(1,7),(2,9),(3,10),(4,8),(5,6)]=>20
[(1,6),(2,9),(3,10),(4,8),(5,7)]=>10
[(1,5),(2,9),(3,10),(4,8),(6,7)]=>20
[(1,4),(2,9),(3,10),(5,8),(6,7)]=>10
[(1,3),(2,9),(4,10),(5,8),(6,7)]=>20
[(1,2),(3,9),(4,10),(5,8),(6,7)]=>10
[(1,2),(3,10),(4,9),(5,8),(6,7)]=>5
[(1,3),(2,10),(4,9),(5,8),(6,7)]=>10
[(1,4),(2,10),(3,9),(5,8),(6,7)]=>20
[(1,5),(2,10),(3,9),(4,8),(6,7)]=>20
[(1,6),(2,10),(3,9),(4,8),(5,7)]=>5
[(1,7),(2,10),(3,9),(4,8),(5,6)]=>20
[(1,8),(2,10),(3,9),(4,7),(5,6)]=>20
[(1,9),(2,10),(3,8),(4,7),(5,6)]=>10
                    

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Description

The number of matchings in the dihedral orbit of a perfect matching.
The dihedral orbit is induced by the dihedral symmetry of the underlying circular arrangement of points. In other words, this is the number of matchings that can be obtained by rotating or reflecting the given perfect matching.

Code

def statistic(m):
    n = m.size()
    l = set()
    m = tuple(sorted(tuple(sorted(p)) for p in m))
    l.add(m)
    l.add(tuple(sorted((n+1-j, n+1-i) for (i,j) in m)))
    for i in range(n):
        m = tuple(sorted(tuple(sorted(((i % n) + 1, (j % n) + 1))) for (i,j) in m))
        l.add(m)
        l.add(tuple(sorted((n+1-j, n+1-i) for (i,j) in m)))
    return len(l)

Created

Aug 22, 2017 at 14:41 by Christian Stump

Updated

Aug 22, 2017 at 21:17 by Martin Rubey