Identifier
Values
=>
Cc0012;cc-rep
[(1,2)]=>0
[(1,2),(3,4)]=>1
[(1,3),(2,4)]=>0
[(1,4),(2,3)]=>0
[(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)]=>0
[(1,5),(2,4),(3,6)]=>0
[(1,4),(2,5),(3,6)]=>0
[(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)]=>0
[(1,5),(2,6),(3,4)]=>0
[(1,6),(2,5),(3,4)]=>0
[(1,2),(3,4),(5,6),(7,8)]=>6
[(1,3),(2,4),(5,6),(7,8)]=>5
[(1,4),(2,3),(5,6),(7,8)]=>5
[(1,5),(2,3),(4,6),(7,8)]=>4
[(1,6),(2,3),(4,5),(7,8)]=>4
[(1,7),(2,3),(4,5),(6,8)]=>3
[(1,8),(2,3),(4,5),(6,7)]=>3
[(1,8),(2,4),(3,5),(6,7)]=>2
[(1,7),(2,4),(3,5),(6,8)]=>2
[(1,6),(2,4),(3,5),(7,8)]=>3
[(1,5),(2,4),(3,6),(7,8)]=>3
[(1,4),(2,5),(3,6),(7,8)]=>3
[(1,3),(2,5),(4,6),(7,8)]=>4
[(1,2),(3,5),(4,6),(7,8)]=>5
[(1,2),(3,6),(4,5),(7,8)]=>5
[(1,3),(2,6),(4,5),(7,8)]=>4
[(1,4),(2,6),(3,5),(7,8)]=>3
[(1,5),(2,6),(3,4),(7,8)]=>3
[(1,6),(2,5),(3,4),(7,8)]=>3
[(1,7),(2,5),(3,4),(6,8)]=>2
[(1,8),(2,5),(3,4),(6,7)]=>2
[(1,8),(2,6),(3,4),(5,7)]=>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)]=>2
[(1,4),(2,7),(3,5),(6,8)]=>2
[(1,3),(2,7),(4,5),(6,8)]=>3
[(1,2),(3,7),(4,5),(6,8)]=>4
[(1,2),(3,8),(4,5),(6,7)]=>4
[(1,3),(2,8),(4,5),(6,7)]=>3
[(1,4),(2,8),(3,5),(6,7)]=>2
[(1,5),(2,8),(3,4),(6,7)]=>2
[(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)]=>0
[(1,7),(2,8),(3,5),(4,6)]=>0
[(1,6),(2,8),(3,5),(4,7)]=>0
[(1,5),(2,8),(3,6),(4,7)]=>0
[(1,4),(2,8),(3,6),(5,7)]=>1
[(1,3),(2,8),(4,6),(5,7)]=>2
[(1,2),(3,8),(4,6),(5,7)]=>3
[(1,2),(3,7),(4,6),(5,8)]=>3
[(1,3),(2,7),(4,6),(5,8)]=>2
[(1,4),(2,7),(3,6),(5,8)]=>1
[(1,5),(2,7),(3,6),(4,8)]=>0
[(1,6),(2,7),(3,5),(4,8)]=>0
[(1,7),(2,6),(3,5),(4,8)]=>0
[(1,8),(2,6),(3,5),(4,7)]=>0
[(1,8),(2,5),(3,6),(4,7)]=>0
[(1,7),(2,5),(3,6),(4,8)]=>0
[(1,6),(2,5),(3,7),(4,8)]=>0
[(1,5),(2,6),(3,7),(4,8)]=>0
[(1,4),(2,6),(3,7),(5,8)]=>1
[(1,3),(2,6),(4,7),(5,8)]=>2
[(1,2),(3,6),(4,7),(5,8)]=>3
[(1,2),(3,5),(4,7),(6,8)]=>4
[(1,3),(2,5),(4,7),(6,8)]=>3
[(1,4),(2,5),(3,7),(6,8)]=>2
[(1,5),(2,4),(3,7),(6,8)]=>2
[(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)]=>2
[(1,7),(2,3),(4,6),(5,8)]=>2
[(1,6),(2,3),(4,7),(5,8)]=>2
[(1,5),(2,3),(4,7),(6,8)]=>3
[(1,4),(2,3),(5,7),(6,8)]=>4
[(1,3),(2,4),(5,7),(6,8)]=>4
[(1,2),(3,4),(5,7),(6,8)]=>5
[(1,2),(3,4),(5,8),(6,7)]=>5
[(1,3),(2,4),(5,8),(6,7)]=>4
[(1,4),(2,3),(5,8),(6,7)]=>4
[(1,5),(2,3),(4,8),(6,7)]=>3
[(1,6),(2,3),(4,8),(5,7)]=>2
[(1,7),(2,3),(4,8),(5,6)]=>2
[(1,8),(2,3),(4,7),(5,6)]=>2
[(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)]=>2
[(1,4),(2,5),(3,8),(6,7)]=>2
[(1,3),(2,5),(4,8),(6,7)]=>3
[(1,2),(3,5),(4,8),(6,7)]=>4
[(1,2),(3,6),(4,8),(5,7)]=>3
[(1,3),(2,6),(4,8),(5,7)]=>2
[(1,4),(2,6),(3,8),(5,7)]=>1
[(1,5),(2,6),(3,8),(4,7)]=>0
[(1,6),(2,5),(3,8),(4,7)]=>0
[(1,7),(2,5),(3,8),(4,6)]=>0
[(1,8),(2,5),(3,7),(4,6)]=>0
[(1,8),(2,6),(3,7),(4,5)]=>0
[(1,7),(2,6),(3,8),(4,5)]=>0
[(1,6),(2,7),(3,8),(4,5)]=>0
[(1,5),(2,7),(3,8),(4,6)]=>0
[(1,4),(2,7),(3,8),(5,6)]=>1
[(1,3),(2,7),(4,8),(5,6)]=>2
[(1,2),(3,7),(4,8),(5,6)]=>3
[(1,2),(3,8),(4,7),(5,6)]=>3
[(1,3),(2,8),(4,7),(5,6)]=>2
[(1,4),(2,8),(3,7),(5,6)]=>1
[(1,5),(2,8),(3,7),(4,6)]=>0
[(1,6),(2,8),(3,7),(4,5)]=>0
[(1,7),(2,8),(3,6),(4,5)]=>0
[(1,8),(2,7),(3,6),(4,5)]=>0
[(1,2),(3,4),(5,6),(7,8),(9,10)]=>10
[(1,3),(2,4),(5,6),(7,8),(9,10)]=>9
[(1,4),(2,3),(5,6),(7,8),(9,10)]=>9
[(1,5),(2,3),(4,6),(7,8),(9,10)]=>8
[(1,6),(2,3),(4,5),(7,8),(9,10)]=>8
[(1,7),(2,3),(4,5),(6,8),(9,10)]=>7
[(1,8),(2,3),(4,5),(6,7),(9,10)]=>7
[(1,9),(2,3),(4,5),(6,7),(8,10)]=>6
[(1,10),(2,3),(4,5),(6,7),(8,9)]=>6
[(1,10),(2,4),(3,5),(6,7),(8,9)]=>5
[(1,9),(2,4),(3,5),(6,7),(8,10)]=>5
[(1,8),(2,4),(3,5),(6,7),(9,10)]=>6
[(1,7),(2,4),(3,5),(6,8),(9,10)]=>6
[(1,6),(2,4),(3,5),(7,8),(9,10)]=>7
[(1,5),(2,4),(3,6),(7,8),(9,10)]=>7
[(1,4),(2,5),(3,6),(7,8),(9,10)]=>7
[(1,3),(2,5),(4,6),(7,8),(9,10)]=>8
[(1,2),(3,5),(4,6),(7,8),(9,10)]=>9
[(1,2),(3,6),(4,5),(7,8),(9,10)]=>9
[(1,3),(2,6),(4,5),(7,8),(9,10)]=>8
[(1,4),(2,6),(3,5),(7,8),(9,10)]=>7
[(1,5),(2,6),(3,4),(7,8),(9,10)]=>7
[(1,6),(2,5),(3,4),(7,8),(9,10)]=>7
[(1,7),(2,5),(3,4),(6,8),(9,10)]=>6
[(1,8),(2,5),(3,4),(6,7),(9,10)]=>6
[(1,9),(2,5),(3,4),(6,7),(8,10)]=>5
[(1,10),(2,5),(3,4),(6,7),(8,9)]=>5
[(1,10),(2,6),(3,4),(5,7),(8,9)]=>4
[(1,9),(2,6),(3,4),(5,7),(8,10)]=>4
[(1,8),(2,6),(3,4),(5,7),(9,10)]=>5
[(1,7),(2,6),(3,4),(5,8),(9,10)]=>5
[(1,6),(2,7),(3,4),(5,8),(9,10)]=>5
[(1,5),(2,7),(3,4),(6,8),(9,10)]=>6
[(1,4),(2,7),(3,5),(6,8),(9,10)]=>6
[(1,3),(2,7),(4,5),(6,8),(9,10)]=>7
[(1,2),(3,7),(4,5),(6,8),(9,10)]=>8
[(1,2),(3,8),(4,5),(6,7),(9,10)]=>8
[(1,3),(2,8),(4,5),(6,7),(9,10)]=>7
[(1,4),(2,8),(3,5),(6,7),(9,10)]=>6
[(1,5),(2,8),(3,4),(6,7),(9,10)]=>6
[(1,6),(2,8),(3,4),(5,7),(9,10)]=>5
[(1,7),(2,8),(3,4),(5,6),(9,10)]=>5
[(1,8),(2,7),(3,4),(5,6),(9,10)]=>5
[(1,9),(2,7),(3,4),(5,6),(8,10)]=>4
[(1,10),(2,7),(3,4),(5,6),(8,9)]=>4
[(1,10),(2,8),(3,4),(5,6),(7,9)]=>3
[(1,9),(2,8),(3,4),(5,6),(7,10)]=>3
[(1,8),(2,9),(3,4),(5,6),(7,10)]=>3
[(1,7),(2,9),(3,4),(5,6),(8,10)]=>4
[(1,6),(2,9),(3,4),(5,7),(8,10)]=>4
[(1,5),(2,9),(3,4),(6,7),(8,10)]=>5
[(1,4),(2,9),(3,5),(6,7),(8,10)]=>5
[(1,3),(2,9),(4,5),(6,7),(8,10)]=>6
[(1,2),(3,9),(4,5),(6,7),(8,10)]=>7
[(1,2),(3,10),(4,5),(6,7),(8,9)]=>7
[(1,3),(2,10),(4,5),(6,7),(8,9)]=>6
[(1,4),(2,10),(3,5),(6,7),(8,9)]=>5
[(1,5),(2,10),(3,4),(6,7),(8,9)]=>5
[(1,6),(2,10),(3,4),(5,7),(8,9)]=>4
[(1,7),(2,10),(3,4),(5,6),(8,9)]=>4
[(1,8),(2,10),(3,4),(5,6),(7,9)]=>3
[(1,9),(2,10),(3,4),(5,6),(7,8)]=>3
[(1,10),(2,9),(3,4),(5,6),(7,8)]=>3
[(1,10),(2,9),(3,5),(4,6),(7,8)]=>2
[(1,9),(2,10),(3,5),(4,6),(7,8)]=>2
[(1,8),(2,10),(3,5),(4,6),(7,9)]=>2
[(1,7),(2,10),(3,5),(4,6),(8,9)]=>3
[(1,6),(2,10),(3,5),(4,7),(8,9)]=>3
[(1,5),(2,10),(3,6),(4,7),(8,9)]=>3
[(1,4),(2,10),(3,6),(5,7),(8,9)]=>4
[(1,3),(2,10),(4,6),(5,7),(8,9)]=>5
[(1,2),(3,10),(4,6),(5,7),(8,9)]=>6
[(1,2),(3,9),(4,6),(5,7),(8,10)]=>6
[(1,3),(2,9),(4,6),(5,7),(8,10)]=>5
[(1,4),(2,9),(3,6),(5,7),(8,10)]=>4
[(1,5),(2,9),(3,6),(4,7),(8,10)]=>3
[(1,6),(2,9),(3,5),(4,7),(8,10)]=>3
[(1,7),(2,9),(3,5),(4,6),(8,10)]=>3
[(1,8),(2,9),(3,5),(4,6),(7,10)]=>2
[(1,9),(2,8),(3,5),(4,6),(7,10)]=>2
[(1,10),(2,8),(3,5),(4,6),(7,9)]=>2
[(1,10),(2,7),(3,5),(4,6),(8,9)]=>3
[(1,9),(2,7),(3,5),(4,6),(8,10)]=>3
[(1,8),(2,7),(3,5),(4,6),(9,10)]=>4
[(1,7),(2,8),(3,5),(4,6),(9,10)]=>4
[(1,6),(2,8),(3,5),(4,7),(9,10)]=>4
[(1,5),(2,8),(3,6),(4,7),(9,10)]=>4
[(1,4),(2,8),(3,6),(5,7),(9,10)]=>5
[(1,3),(2,8),(4,6),(5,7),(9,10)]=>6
[(1,2),(3,8),(4,6),(5,7),(9,10)]=>7
[(1,2),(3,7),(4,6),(5,8),(9,10)]=>7
[(1,3),(2,7),(4,6),(5,8),(9,10)]=>6
[(1,4),(2,7),(3,6),(5,8),(9,10)]=>5
[(1,5),(2,7),(3,6),(4,8),(9,10)]=>4
[(1,6),(2,7),(3,5),(4,8),(9,10)]=>4
[(1,7),(2,6),(3,5),(4,8),(9,10)]=>4
[(1,8),(2,6),(3,5),(4,7),(9,10)]=>4
[(1,9),(2,6),(3,5),(4,7),(8,10)]=>3
[(1,10),(2,6),(3,5),(4,7),(8,9)]=>3
[(1,10),(2,5),(3,6),(4,7),(8,9)]=>3
[(1,9),(2,5),(3,6),(4,7),(8,10)]=>3
[(1,8),(2,5),(3,6),(4,7),(9,10)]=>4
[(1,7),(2,5),(3,6),(4,8),(9,10)]=>4
[(1,6),(2,5),(3,7),(4,8),(9,10)]=>4
[(1,5),(2,6),(3,7),(4,8),(9,10)]=>4
[(1,4),(2,6),(3,7),(5,8),(9,10)]=>5
[(1,3),(2,6),(4,7),(5,8),(9,10)]=>6
[(1,2),(3,6),(4,7),(5,8),(9,10)]=>7
[(1,2),(3,5),(4,7),(6,8),(9,10)]=>8
[(1,3),(2,5),(4,7),(6,8),(9,10)]=>7
[(1,4),(2,5),(3,7),(6,8),(9,10)]=>6
[(1,5),(2,4),(3,7),(6,8),(9,10)]=>6
[(1,6),(2,4),(3,7),(5,8),(9,10)]=>5
[(1,7),(2,4),(3,6),(5,8),(9,10)]=>5
[(1,8),(2,4),(3,6),(5,7),(9,10)]=>5
[(1,9),(2,4),(3,6),(5,7),(8,10)]=>4
[(1,10),(2,4),(3,6),(5,7),(8,9)]=>4
[(1,10),(2,3),(4,6),(5,7),(8,9)]=>5
[(1,9),(2,3),(4,6),(5,7),(8,10)]=>5
[(1,8),(2,3),(4,6),(5,7),(9,10)]=>6
[(1,7),(2,3),(4,6),(5,8),(9,10)]=>6
[(1,6),(2,3),(4,7),(5,8),(9,10)]=>6
[(1,5),(2,3),(4,7),(6,8),(9,10)]=>7
[(1,4),(2,3),(5,7),(6,8),(9,10)]=>8
[(1,3),(2,4),(5,7),(6,8),(9,10)]=>8
[(1,2),(3,4),(5,7),(6,8),(9,10)]=>9
[(1,2),(3,4),(5,8),(6,7),(9,10)]=>9
[(1,3),(2,4),(5,8),(6,7),(9,10)]=>8
[(1,4),(2,3),(5,8),(6,7),(9,10)]=>8
[(1,5),(2,3),(4,8),(6,7),(9,10)]=>7
[(1,6),(2,3),(4,8),(5,7),(9,10)]=>6
[(1,7),(2,3),(4,8),(5,6),(9,10)]=>6
[(1,8),(2,3),(4,7),(5,6),(9,10)]=>6
[(1,9),(2,3),(4,7),(5,6),(8,10)]=>5
[(1,10),(2,3),(4,7),(5,6),(8,9)]=>5
[(1,10),(2,4),(3,7),(5,6),(8,9)]=>4
[(1,9),(2,4),(3,7),(5,6),(8,10)]=>4
[(1,8),(2,4),(3,7),(5,6),(9,10)]=>5
[(1,7),(2,4),(3,8),(5,6),(9,10)]=>5
[(1,6),(2,4),(3,8),(5,7),(9,10)]=>5
[(1,5),(2,4),(3,8),(6,7),(9,10)]=>6
[(1,4),(2,5),(3,8),(6,7),(9,10)]=>6
[(1,3),(2,5),(4,8),(6,7),(9,10)]=>7
[(1,2),(3,5),(4,8),(6,7),(9,10)]=>8
[(1,2),(3,6),(4,8),(5,7),(9,10)]=>7
[(1,3),(2,6),(4,8),(5,7),(9,10)]=>6
[(1,4),(2,6),(3,8),(5,7),(9,10)]=>5
[(1,5),(2,6),(3,8),(4,7),(9,10)]=>4
[(1,6),(2,5),(3,8),(4,7),(9,10)]=>4
[(1,7),(2,5),(3,8),(4,6),(9,10)]=>4
[(1,8),(2,5),(3,7),(4,6),(9,10)]=>4
[(1,9),(2,5),(3,7),(4,6),(8,10)]=>3
[(1,10),(2,5),(3,7),(4,6),(8,9)]=>3
[(1,10),(2,6),(3,7),(4,5),(8,9)]=>3
[(1,9),(2,6),(3,7),(4,5),(8,10)]=>3
[(1,8),(2,6),(3,7),(4,5),(9,10)]=>4
[(1,7),(2,6),(3,8),(4,5),(9,10)]=>4
[(1,6),(2,7),(3,8),(4,5),(9,10)]=>4
[(1,5),(2,7),(3,8),(4,6),(9,10)]=>4
[(1,4),(2,7),(3,8),(5,6),(9,10)]=>5
[(1,3),(2,7),(4,8),(5,6),(9,10)]=>6
[(1,2),(3,7),(4,8),(5,6),(9,10)]=>7
[(1,2),(3,8),(4,7),(5,6),(9,10)]=>7
[(1,3),(2,8),(4,7),(5,6),(9,10)]=>6
[(1,4),(2,8),(3,7),(5,6),(9,10)]=>5
[(1,5),(2,8),(3,7),(4,6),(9,10)]=>4
[(1,6),(2,8),(3,7),(4,5),(9,10)]=>4
[(1,7),(2,8),(3,6),(4,5),(9,10)]=>4
[(1,8),(2,7),(3,6),(4,5),(9,10)]=>4
[(1,9),(2,7),(3,6),(4,5),(8,10)]=>3
[(1,10),(2,7),(3,6),(4,5),(8,9)]=>3
[(1,10),(2,8),(3,6),(4,5),(7,9)]=>2
[(1,9),(2,8),(3,6),(4,5),(7,10)]=>2
[(1,8),(2,9),(3,6),(4,5),(7,10)]=>2
[(1,7),(2,9),(3,6),(4,5),(8,10)]=>3
[(1,6),(2,9),(3,7),(4,5),(8,10)]=>3
[(1,5),(2,9),(3,7),(4,6),(8,10)]=>3
[(1,4),(2,9),(3,7),(5,6),(8,10)]=>4
[(1,3),(2,9),(4,7),(5,6),(8,10)]=>5
[(1,2),(3,9),(4,7),(5,6),(8,10)]=>6
[(1,2),(3,10),(4,7),(5,6),(8,9)]=>6
[(1,3),(2,10),(4,7),(5,6),(8,9)]=>5
[(1,4),(2,10),(3,7),(5,6),(8,9)]=>4
[(1,5),(2,10),(3,7),(4,6),(8,9)]=>3
[(1,6),(2,10),(3,7),(4,5),(8,9)]=>3
[(1,7),(2,10),(3,6),(4,5),(8,9)]=>3
[(1,8),(2,10),(3,6),(4,5),(7,9)]=>2
[(1,9),(2,10),(3,6),(4,5),(7,8)]=>2
[(1,10),(2,9),(3,6),(4,5),(7,8)]=>2
[(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)]=>2
[(1,5),(2,10),(3,8),(4,6),(7,9)]=>2
[(1,4),(2,10),(3,8),(5,6),(7,9)]=>3
[(1,3),(2,10),(4,8),(5,6),(7,9)]=>4
[(1,2),(3,10),(4,8),(5,6),(7,9)]=>5
[(1,2),(3,9),(4,8),(5,6),(7,10)]=>5
[(1,3),(2,9),(4,8),(5,6),(7,10)]=>4
[(1,4),(2,9),(3,8),(5,6),(7,10)]=>3
[(1,5),(2,9),(3,8),(4,6),(7,10)]=>2
[(1,6),(2,9),(3,8),(4,5),(7,10)]=>2
[(1,7),(2,9),(3,8),(4,5),(6,10)]=>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)]=>2
[(1,5),(2,8),(3,9),(4,6),(7,10)]=>2
[(1,4),(2,8),(3,9),(5,6),(7,10)]=>3
[(1,3),(2,8),(4,9),(5,6),(7,10)]=>4
[(1,2),(3,8),(4,9),(5,6),(7,10)]=>5
[(1,2),(3,7),(4,9),(5,6),(8,10)]=>6
[(1,3),(2,7),(4,9),(5,6),(8,10)]=>5
[(1,4),(2,7),(3,9),(5,6),(8,10)]=>4
[(1,5),(2,7),(3,9),(4,6),(8,10)]=>3
[(1,6),(2,7),(3,9),(4,5),(8,10)]=>3
[(1,7),(2,6),(3,9),(4,5),(8,10)]=>3
[(1,8),(2,6),(3,9),(4,5),(7,10)]=>2
[(1,9),(2,6),(3,8),(4,5),(7,10)]=>2
[(1,10),(2,6),(3,8),(4,5),(7,9)]=>2
[(1,10),(2,5),(3,8),(4,6),(7,9)]=>2
[(1,9),(2,5),(3,8),(4,6),(7,10)]=>2
[(1,8),(2,5),(3,9),(4,6),(7,10)]=>2
[(1,7),(2,5),(3,9),(4,6),(8,10)]=>3
[(1,6),(2,5),(3,9),(4,7),(8,10)]=>3
[(1,5),(2,6),(3,9),(4,7),(8,10)]=>3
[(1,4),(2,6),(3,9),(5,7),(8,10)]=>4
[(1,3),(2,6),(4,9),(5,7),(8,10)]=>5
[(1,2),(3,6),(4,9),(5,7),(8,10)]=>6
[(1,2),(3,5),(4,9),(6,7),(8,10)]=>7
[(1,3),(2,5),(4,9),(6,7),(8,10)]=>6
[(1,4),(2,5),(3,9),(6,7),(8,10)]=>5
[(1,5),(2,4),(3,9),(6,7),(8,10)]=>5
[(1,6),(2,4),(3,9),(5,7),(8,10)]=>4
[(1,7),(2,4),(3,9),(5,6),(8,10)]=>4
[(1,8),(2,4),(3,9),(5,6),(7,10)]=>3
[(1,9),(2,4),(3,8),(5,6),(7,10)]=>3
[(1,10),(2,4),(3,8),(5,6),(7,9)]=>3
[(1,10),(2,3),(4,8),(5,6),(7,9)]=>4
[(1,9),(2,3),(4,8),(5,6),(7,10)]=>4
[(1,8),(2,3),(4,9),(5,6),(7,10)]=>4
[(1,7),(2,3),(4,9),(5,6),(8,10)]=>5
[(1,6),(2,3),(4,9),(5,7),(8,10)]=>5
[(1,5),(2,3),(4,9),(6,7),(8,10)]=>6
[(1,4),(2,3),(5,9),(6,7),(8,10)]=>7
[(1,3),(2,4),(5,9),(6,7),(8,10)]=>7
[(1,2),(3,4),(5,9),(6,7),(8,10)]=>8
[(1,2),(3,4),(5,10),(6,7),(8,9)]=>8
[(1,3),(2,4),(5,10),(6,7),(8,9)]=>7
[(1,4),(2,3),(5,10),(6,7),(8,9)]=>7
[(1,5),(2,3),(4,10),(6,7),(8,9)]=>6
[(1,6),(2,3),(4,10),(5,7),(8,9)]=>5
[(1,7),(2,3),(4,10),(5,6),(8,9)]=>5
[(1,8),(2,3),(4,10),(5,6),(7,9)]=>4
[(1,9),(2,3),(4,10),(5,6),(7,8)]=>4
[(1,10),(2,3),(4,9),(5,6),(7,8)]=>4
[(1,10),(2,4),(3,9),(5,6),(7,8)]=>3
[(1,9),(2,4),(3,10),(5,6),(7,8)]=>3
[(1,8),(2,4),(3,10),(5,6),(7,9)]=>3
[(1,7),(2,4),(3,10),(5,6),(8,9)]=>4
[(1,6),(2,4),(3,10),(5,7),(8,9)]=>4
[(1,5),(2,4),(3,10),(6,7),(8,9)]=>5
[(1,4),(2,5),(3,10),(6,7),(8,9)]=>5
[(1,3),(2,5),(4,10),(6,7),(8,9)]=>6
[(1,2),(3,5),(4,10),(6,7),(8,9)]=>7
[(1,2),(3,6),(4,10),(5,7),(8,9)]=>6
[(1,3),(2,6),(4,10),(5,7),(8,9)]=>5
[(1,4),(2,6),(3,10),(5,7),(8,9)]=>4
[(1,5),(2,6),(3,10),(4,7),(8,9)]=>3
[(1,6),(2,5),(3,10),(4,7),(8,9)]=>3
[(1,7),(2,5),(3,10),(4,6),(8,9)]=>3
[(1,8),(2,5),(3,10),(4,6),(7,9)]=>2
[(1,9),(2,5),(3,10),(4,6),(7,8)]=>2
[(1,10),(2,5),(3,9),(4,6),(7,8)]=>2
[(1,10),(2,6),(3,9),(4,5),(7,8)]=>2
[(1,9),(2,6),(3,10),(4,5),(7,8)]=>2
[(1,8),(2,6),(3,10),(4,5),(7,9)]=>2
[(1,7),(2,6),(3,10),(4,5),(8,9)]=>3
[(1,6),(2,7),(3,10),(4,5),(8,9)]=>3
[(1,5),(2,7),(3,10),(4,6),(8,9)]=>3
[(1,4),(2,7),(3,10),(5,6),(8,9)]=>4
[(1,3),(2,7),(4,10),(5,6),(8,9)]=>5
[(1,2),(3,7),(4,10),(5,6),(8,9)]=>6
[(1,2),(3,8),(4,10),(5,6),(7,9)]=>5
[(1,3),(2,8),(4,10),(5,6),(7,9)]=>4
[(1,4),(2,8),(3,10),(5,6),(7,9)]=>3
[(1,5),(2,8),(3,10),(4,6),(7,9)]=>2
[(1,6),(2,8),(3,10),(4,5),(7,9)]=>2
[(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)]=>2
[(1,5),(2,9),(3,10),(4,6),(7,8)]=>2
[(1,4),(2,9),(3,10),(5,6),(7,8)]=>3
[(1,3),(2,9),(4,10),(5,6),(7,8)]=>4
[(1,2),(3,9),(4,10),(5,6),(7,8)]=>5
[(1,2),(3,10),(4,9),(5,6),(7,8)]=>5
[(1,3),(2,10),(4,9),(5,6),(7,8)]=>4
[(1,4),(2,10),(3,9),(5,6),(7,8)]=>3
[(1,5),(2,10),(3,9),(4,6),(7,8)]=>2
[(1,6),(2,10),(3,9),(4,5),(7,8)]=>2
[(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)]=>0
[(1,9),(2,10),(3,8),(4,6),(5,7)]=>0
[(1,8),(2,10),(3,9),(4,6),(5,7)]=>0
[(1,7),(2,10),(3,9),(4,6),(5,8)]=>0
[(1,6),(2,10),(3,9),(4,7),(5,8)]=>0
[(1,5),(2,10),(3,9),(4,7),(6,8)]=>1
[(1,4),(2,10),(3,9),(5,7),(6,8)]=>2
[(1,3),(2,10),(4,9),(5,7),(6,8)]=>3
[(1,2),(3,10),(4,9),(5,7),(6,8)]=>4
[(1,2),(3,9),(4,10),(5,7),(6,8)]=>4
[(1,3),(2,9),(4,10),(5,7),(6,8)]=>3
[(1,4),(2,9),(3,10),(5,7),(6,8)]=>2
[(1,5),(2,9),(3,10),(4,7),(6,8)]=>1
[(1,6),(2,9),(3,10),(4,7),(5,8)]=>0
[(1,7),(2,9),(3,10),(4,6),(5,8)]=>0
[(1,8),(2,9),(3,10),(4,6),(5,7)]=>0
[(1,9),(2,8),(3,10),(4,6),(5,7)]=>0
[(1,10),(2,8),(3,9),(4,6),(5,7)]=>0
[(1,10),(2,7),(3,9),(4,6),(5,8)]=>0
[(1,9),(2,7),(3,10),(4,6),(5,8)]=>0
[(1,8),(2,7),(3,10),(4,6),(5,9)]=>0
[(1,7),(2,8),(3,10),(4,6),(5,9)]=>0
[(1,6),(2,8),(3,10),(4,7),(5,9)]=>0
[(1,5),(2,8),(3,10),(4,7),(6,9)]=>1
[(1,4),(2,8),(3,10),(5,7),(6,9)]=>2
[(1,3),(2,8),(4,10),(5,7),(6,9)]=>3
[(1,2),(3,8),(4,10),(5,7),(6,9)]=>4
[(1,2),(3,7),(4,10),(5,8),(6,9)]=>4
[(1,3),(2,7),(4,10),(5,8),(6,9)]=>3
[(1,4),(2,7),(3,10),(5,8),(6,9)]=>2
[(1,5),(2,7),(3,10),(4,8),(6,9)]=>1
[(1,6),(2,7),(3,10),(4,8),(5,9)]=>0
[(1,7),(2,6),(3,10),(4,8),(5,9)]=>0
[(1,8),(2,6),(3,10),(4,7),(5,9)]=>0
[(1,9),(2,6),(3,10),(4,7),(5,8)]=>0
[(1,10),(2,6),(3,9),(4,7),(5,8)]=>0
[(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)]=>2
[(1,5),(2,6),(3,10),(4,8),(7,9)]=>2
[(1,4),(2,6),(3,10),(5,8),(7,9)]=>3
[(1,3),(2,6),(4,10),(5,8),(7,9)]=>4
[(1,2),(3,6),(4,10),(5,8),(7,9)]=>5
[(1,2),(3,5),(4,10),(6,8),(7,9)]=>6
[(1,3),(2,5),(4,10),(6,8),(7,9)]=>5
[(1,4),(2,5),(3,10),(6,8),(7,9)]=>4
[(1,5),(2,4),(3,10),(6,8),(7,9)]=>4
[(1,6),(2,4),(3,10),(5,8),(7,9)]=>3
[(1,7),(2,4),(3,10),(5,8),(6,9)]=>2
[(1,8),(2,4),(3,10),(5,7),(6,9)]=>2
[(1,9),(2,4),(3,10),(5,7),(6,8)]=>2
[(1,10),(2,4),(3,9),(5,7),(6,8)]=>2
[(1,10),(2,3),(4,9),(5,7),(6,8)]=>3
[(1,9),(2,3),(4,10),(5,7),(6,8)]=>3
[(1,8),(2,3),(4,10),(5,7),(6,9)]=>3
[(1,7),(2,3),(4,10),(5,8),(6,9)]=>3
[(1,6),(2,3),(4,10),(5,8),(7,9)]=>4
[(1,5),(2,3),(4,10),(6,8),(7,9)]=>5
[(1,4),(2,3),(5,10),(6,8),(7,9)]=>6
[(1,3),(2,4),(5,10),(6,8),(7,9)]=>6
[(1,2),(3,4),(5,10),(6,8),(7,9)]=>7
[(1,2),(3,4),(5,9),(6,8),(7,10)]=>7
[(1,3),(2,4),(5,9),(6,8),(7,10)]=>6
[(1,4),(2,3),(5,9),(6,8),(7,10)]=>6
[(1,5),(2,3),(4,9),(6,8),(7,10)]=>5
[(1,6),(2,3),(4,9),(5,8),(7,10)]=>4
[(1,7),(2,3),(4,9),(5,8),(6,10)]=>3
[(1,8),(2,3),(4,9),(5,7),(6,10)]=>3
[(1,9),(2,3),(4,8),(5,7),(6,10)]=>3
[(1,10),(2,3),(4,8),(5,7),(6,9)]=>3
[(1,10),(2,4),(3,8),(5,7),(6,9)]=>2
[(1,9),(2,4),(3,8),(5,7),(6,10)]=>2
[(1,8),(2,4),(3,9),(5,7),(6,10)]=>2
[(1,7),(2,4),(3,9),(5,8),(6,10)]=>2
[(1,6),(2,4),(3,9),(5,8),(7,10)]=>3
[(1,5),(2,4),(3,9),(6,8),(7,10)]=>4
[(1,4),(2,5),(3,9),(6,8),(7,10)]=>4
[(1,3),(2,5),(4,9),(6,8),(7,10)]=>5
[(1,2),(3,5),(4,9),(6,8),(7,10)]=>6
[(1,2),(3,6),(4,9),(5,8),(7,10)]=>5
[(1,3),(2,6),(4,9),(5,8),(7,10)]=>4
[(1,4),(2,6),(3,9),(5,8),(7,10)]=>3
[(1,5),(2,6),(3,9),(4,8),(7,10)]=>2
[(1,6),(2,5),(3,9),(4,8),(7,10)]=>2
[(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)]=>0
[(1,9),(2,6),(3,8),(4,7),(5,10)]=>0
[(1,8),(2,6),(3,9),(4,7),(5,10)]=>0
[(1,7),(2,6),(3,9),(4,8),(5,10)]=>0
[(1,6),(2,7),(3,9),(4,8),(5,10)]=>0
[(1,5),(2,7),(3,9),(4,8),(6,10)]=>1
[(1,4),(2,7),(3,9),(5,8),(6,10)]=>2
[(1,3),(2,7),(4,9),(5,8),(6,10)]=>3
[(1,2),(3,7),(4,9),(5,8),(6,10)]=>4
[(1,2),(3,8),(4,9),(5,7),(6,10)]=>4
[(1,3),(2,8),(4,9),(5,7),(6,10)]=>3
[(1,4),(2,8),(3,9),(5,7),(6,10)]=>2
[(1,5),(2,8),(3,9),(4,7),(6,10)]=>1
[(1,6),(2,8),(3,9),(4,7),(5,10)]=>0
[(1,7),(2,8),(3,9),(4,6),(5,10)]=>0
[(1,8),(2,7),(3,9),(4,6),(5,10)]=>0
[(1,9),(2,7),(3,8),(4,6),(5,10)]=>0
[(1,10),(2,7),(3,8),(4,6),(5,9)]=>0
[(1,10),(2,8),(3,7),(4,6),(5,9)]=>0
[(1,9),(2,8),(3,7),(4,6),(5,10)]=>0
[(1,8),(2,9),(3,7),(4,6),(5,10)]=>0
[(1,7),(2,9),(3,8),(4,6),(5,10)]=>0
[(1,6),(2,9),(3,8),(4,7),(5,10)]=>0
[(1,5),(2,9),(3,8),(4,7),(6,10)]=>1
[(1,4),(2,9),(3,8),(5,7),(6,10)]=>2
[(1,3),(2,9),(4,8),(5,7),(6,10)]=>3
[(1,2),(3,9),(4,8),(5,7),(6,10)]=>4
[(1,2),(3,10),(4,8),(5,7),(6,9)]=>4
[(1,3),(2,10),(4,8),(5,7),(6,9)]=>3
[(1,4),(2,10),(3,8),(5,7),(6,9)]=>2
[(1,5),(2,10),(3,8),(4,7),(6,9)]=>1
[(1,6),(2,10),(3,8),(4,7),(5,9)]=>0
[(1,7),(2,10),(3,8),(4,6),(5,9)]=>0
[(1,8),(2,10),(3,7),(4,6),(5,9)]=>0
[(1,9),(2,10),(3,7),(4,6),(5,8)]=>0
[(1,10),(2,9),(3,7),(4,6),(5,8)]=>0
[(1,10),(2,9),(3,6),(4,7),(5,8)]=>0
[(1,9),(2,10),(3,6),(4,7),(5,8)]=>0
[(1,8),(2,10),(3,6),(4,7),(5,9)]=>0
[(1,7),(2,10),(3,6),(4,8),(5,9)]=>0
[(1,6),(2,10),(3,7),(4,8),(5,9)]=>0
[(1,5),(2,10),(3,7),(4,8),(6,9)]=>1
[(1,4),(2,10),(3,7),(5,8),(6,9)]=>2
[(1,3),(2,10),(4,7),(5,8),(6,9)]=>3
[(1,2),(3,10),(4,7),(5,8),(6,9)]=>4
[(1,2),(3,9),(4,7),(5,8),(6,10)]=>4
[(1,3),(2,9),(4,7),(5,8),(6,10)]=>3
[(1,4),(2,9),(3,7),(5,8),(6,10)]=>2
[(1,5),(2,9),(3,7),(4,8),(6,10)]=>1
[(1,6),(2,9),(3,7),(4,8),(5,10)]=>0
[(1,7),(2,9),(3,6),(4,8),(5,10)]=>0
[(1,8),(2,9),(3,6),(4,7),(5,10)]=>0
[(1,9),(2,8),(3,6),(4,7),(5,10)]=>0
[(1,10),(2,8),(3,6),(4,7),(5,9)]=>0
[(1,10),(2,7),(3,6),(4,8),(5,9)]=>0
[(1,9),(2,7),(3,6),(4,8),(5,10)]=>0
[(1,8),(2,7),(3,6),(4,9),(5,10)]=>0
[(1,7),(2,8),(3,6),(4,9),(5,10)]=>0
[(1,6),(2,8),(3,7),(4,9),(5,10)]=>0
[(1,5),(2,8),(3,7),(4,9),(6,10)]=>1
[(1,4),(2,8),(3,7),(5,9),(6,10)]=>2
[(1,3),(2,8),(4,7),(5,9),(6,10)]=>3
[(1,2),(3,8),(4,7),(5,9),(6,10)]=>4
[(1,2),(3,7),(4,8),(5,9),(6,10)]=>4
[(1,3),(2,7),(4,8),(5,9),(6,10)]=>3
[(1,4),(2,7),(3,8),(5,9),(6,10)]=>2
[(1,5),(2,7),(3,8),(4,9),(6,10)]=>1
[(1,6),(2,7),(3,8),(4,9),(5,10)]=>0
[(1,7),(2,6),(3,8),(4,9),(5,10)]=>0
[(1,8),(2,6),(3,7),(4,9),(5,10)]=>0
[(1,9),(2,6),(3,7),(4,8),(5,10)]=>0
[(1,10),(2,6),(3,7),(4,8),(5,9)]=>0
[(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)]=>2
[(1,5),(2,6),(3,8),(4,9),(7,10)]=>2
[(1,4),(2,6),(3,8),(5,9),(7,10)]=>3
[(1,3),(2,6),(4,8),(5,9),(7,10)]=>4
[(1,2),(3,6),(4,8),(5,9),(7,10)]=>5
[(1,2),(3,5),(4,8),(6,9),(7,10)]=>6
[(1,3),(2,5),(4,8),(6,9),(7,10)]=>5
[(1,4),(2,5),(3,8),(6,9),(7,10)]=>4
[(1,5),(2,4),(3,8),(6,9),(7,10)]=>4
[(1,6),(2,4),(3,8),(5,9),(7,10)]=>3
[(1,7),(2,4),(3,8),(5,9),(6,10)]=>2
[(1,8),(2,4),(3,7),(5,9),(6,10)]=>2
[(1,9),(2,4),(3,7),(5,8),(6,10)]=>2
[(1,10),(2,4),(3,7),(5,8),(6,9)]=>2
[(1,10),(2,3),(4,7),(5,8),(6,9)]=>3
[(1,9),(2,3),(4,7),(5,8),(6,10)]=>3
[(1,8),(2,3),(4,7),(5,9),(6,10)]=>3
[(1,7),(2,3),(4,8),(5,9),(6,10)]=>3
[(1,6),(2,3),(4,8),(5,9),(7,10)]=>4
[(1,5),(2,3),(4,8),(6,9),(7,10)]=>5
[(1,4),(2,3),(5,8),(6,9),(7,10)]=>6
[(1,3),(2,4),(5,8),(6,9),(7,10)]=>6
[(1,2),(3,4),(5,8),(6,9),(7,10)]=>7
[(1,2),(3,4),(5,7),(6,9),(8,10)]=>8
[(1,3),(2,4),(5,7),(6,9),(8,10)]=>7
[(1,4),(2,3),(5,7),(6,9),(8,10)]=>7
[(1,5),(2,3),(4,7),(6,9),(8,10)]=>6
[(1,6),(2,3),(4,7),(5,9),(8,10)]=>5
[(1,7),(2,3),(4,6),(5,9),(8,10)]=>5
[(1,8),(2,3),(4,6),(5,9),(7,10)]=>4
[(1,9),(2,3),(4,6),(5,8),(7,10)]=>4
[(1,10),(2,3),(4,6),(5,8),(7,9)]=>4
[(1,10),(2,4),(3,6),(5,8),(7,9)]=>3
[(1,9),(2,4),(3,6),(5,8),(7,10)]=>3
[(1,8),(2,4),(3,6),(5,9),(7,10)]=>3
[(1,7),(2,4),(3,6),(5,9),(8,10)]=>4
[(1,6),(2,4),(3,7),(5,9),(8,10)]=>4
[(1,5),(2,4),(3,7),(6,9),(8,10)]=>5
[(1,4),(2,5),(3,7),(6,9),(8,10)]=>5
[(1,3),(2,5),(4,7),(6,9),(8,10)]=>6
[(1,2),(3,5),(4,7),(6,9),(8,10)]=>7
[(1,2),(3,6),(4,7),(5,9),(8,10)]=>6
[(1,3),(2,6),(4,7),(5,9),(8,10)]=>5
[(1,4),(2,6),(3,7),(5,9),(8,10)]=>4
[(1,5),(2,6),(3,7),(4,9),(8,10)]=>3
[(1,6),(2,5),(3,7),(4,9),(8,10)]=>3
[(1,7),(2,5),(3,6),(4,9),(8,10)]=>3
[(1,8),(2,5),(3,6),(4,9),(7,10)]=>2
[(1,9),(2,5),(3,6),(4,8),(7,10)]=>2
[(1,10),(2,5),(3,6),(4,8),(7,9)]=>2
[(1,10),(2,6),(3,5),(4,8),(7,9)]=>2
[(1,9),(2,6),(3,5),(4,8),(7,10)]=>2
[(1,8),(2,6),(3,5),(4,9),(7,10)]=>2
[(1,7),(2,6),(3,5),(4,9),(8,10)]=>3
[(1,6),(2,7),(3,5),(4,9),(8,10)]=>3
[(1,5),(2,7),(3,6),(4,9),(8,10)]=>3
[(1,4),(2,7),(3,6),(5,9),(8,10)]=>4
[(1,3),(2,7),(4,6),(5,9),(8,10)]=>5
[(1,2),(3,7),(4,6),(5,9),(8,10)]=>6
[(1,2),(3,8),(4,6),(5,9),(7,10)]=>5
[(1,3),(2,8),(4,6),(5,9),(7,10)]=>4
[(1,4),(2,8),(3,6),(5,9),(7,10)]=>3
[(1,5),(2,8),(3,6),(4,9),(7,10)]=>2
[(1,6),(2,8),(3,5),(4,9),(7,10)]=>2
[(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)]=>2
[(1,5),(2,9),(3,6),(4,8),(7,10)]=>2
[(1,4),(2,9),(3,6),(5,8),(7,10)]=>3
[(1,3),(2,9),(4,6),(5,8),(7,10)]=>4
[(1,2),(3,9),(4,6),(5,8),(7,10)]=>5
[(1,2),(3,10),(4,6),(5,8),(7,9)]=>5
[(1,3),(2,10),(4,6),(5,8),(7,9)]=>4
[(1,4),(2,10),(3,6),(5,8),(7,9)]=>3
[(1,5),(2,10),(3,6),(4,8),(7,9)]=>2
[(1,6),(2,10),(3,5),(4,8),(7,9)]=>2
[(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)]=>2
[(1,9),(2,10),(3,4),(5,7),(6,8)]=>2
[(1,8),(2,10),(3,4),(5,7),(6,9)]=>2
[(1,7),(2,10),(3,4),(5,8),(6,9)]=>2
[(1,6),(2,10),(3,4),(5,8),(7,9)]=>3
[(1,5),(2,10),(3,4),(6,8),(7,9)]=>4
[(1,4),(2,10),(3,5),(6,8),(7,9)]=>4
[(1,3),(2,10),(4,5),(6,8),(7,9)]=>5
[(1,2),(3,10),(4,5),(6,8),(7,9)]=>6
[(1,2),(3,9),(4,5),(6,8),(7,10)]=>6
[(1,3),(2,9),(4,5),(6,8),(7,10)]=>5
[(1,4),(2,9),(3,5),(6,8),(7,10)]=>4
[(1,5),(2,9),(3,4),(6,8),(7,10)]=>4
[(1,6),(2,9),(3,4),(5,8),(7,10)]=>3
[(1,7),(2,9),(3,4),(5,8),(6,10)]=>2
[(1,8),(2,9),(3,4),(5,7),(6,10)]=>2
[(1,9),(2,8),(3,4),(5,7),(6,10)]=>2
[(1,10),(2,8),(3,4),(5,7),(6,9)]=>2
[(1,10),(2,7),(3,4),(5,8),(6,9)]=>2
[(1,9),(2,7),(3,4),(5,8),(6,10)]=>2
[(1,8),(2,7),(3,4),(5,9),(6,10)]=>2
[(1,7),(2,8),(3,4),(5,9),(6,10)]=>2
[(1,6),(2,8),(3,4),(5,9),(7,10)]=>3
[(1,5),(2,8),(3,4),(6,9),(7,10)]=>4
[(1,4),(2,8),(3,5),(6,9),(7,10)]=>4
[(1,3),(2,8),(4,5),(6,9),(7,10)]=>5
[(1,2),(3,8),(4,5),(6,9),(7,10)]=>6
[(1,2),(3,7),(4,5),(6,9),(8,10)]=>7
[(1,3),(2,7),(4,5),(6,9),(8,10)]=>6
[(1,4),(2,7),(3,5),(6,9),(8,10)]=>5
[(1,5),(2,7),(3,4),(6,9),(8,10)]=>5
[(1,6),(2,7),(3,4),(5,9),(8,10)]=>4
[(1,7),(2,6),(3,4),(5,9),(8,10)]=>4
[(1,8),(2,6),(3,4),(5,9),(7,10)]=>3
[(1,9),(2,6),(3,4),(5,8),(7,10)]=>3
[(1,10),(2,6),(3,4),(5,8),(7,9)]=>3
[(1,10),(2,5),(3,4),(6,8),(7,9)]=>4
[(1,9),(2,5),(3,4),(6,8),(7,10)]=>4
[(1,8),(2,5),(3,4),(6,9),(7,10)]=>4
[(1,7),(2,5),(3,4),(6,9),(8,10)]=>5
[(1,6),(2,5),(3,4),(7,9),(8,10)]=>6
[(1,5),(2,6),(3,4),(7,9),(8,10)]=>6
[(1,4),(2,6),(3,5),(7,9),(8,10)]=>6
[(1,3),(2,6),(4,5),(7,9),(8,10)]=>7
[(1,2),(3,6),(4,5),(7,9),(8,10)]=>8
[(1,2),(3,5),(4,6),(7,9),(8,10)]=>8
[(1,3),(2,5),(4,6),(7,9),(8,10)]=>7
[(1,4),(2,5),(3,6),(7,9),(8,10)]=>6
[(1,5),(2,4),(3,6),(7,9),(8,10)]=>6
[(1,6),(2,4),(3,5),(7,9),(8,10)]=>6
[(1,7),(2,4),(3,5),(6,9),(8,10)]=>5
[(1,8),(2,4),(3,5),(6,9),(7,10)]=>4
[(1,9),(2,4),(3,5),(6,8),(7,10)]=>4
[(1,10),(2,4),(3,5),(6,8),(7,9)]=>4
[(1,10),(2,3),(4,5),(6,8),(7,9)]=>5
[(1,9),(2,3),(4,5),(6,8),(7,10)]=>5
[(1,8),(2,3),(4,5),(6,9),(7,10)]=>5
[(1,7),(2,3),(4,5),(6,9),(8,10)]=>6
[(1,6),(2,3),(4,5),(7,9),(8,10)]=>7
[(1,5),(2,3),(4,6),(7,9),(8,10)]=>7
[(1,4),(2,3),(5,6),(7,9),(8,10)]=>8
[(1,3),(2,4),(5,6),(7,9),(8,10)]=>8
[(1,2),(3,4),(5,6),(7,9),(8,10)]=>9
[(1,2),(3,4),(5,6),(7,10),(8,9)]=>9
[(1,3),(2,4),(5,6),(7,10),(8,9)]=>8
[(1,4),(2,3),(5,6),(7,10),(8,9)]=>8
[(1,5),(2,3),(4,6),(7,10),(8,9)]=>7
[(1,6),(2,3),(4,5),(7,10),(8,9)]=>7
[(1,7),(2,3),(4,5),(6,10),(8,9)]=>6
[(1,8),(2,3),(4,5),(6,10),(7,9)]=>5
[(1,9),(2,3),(4,5),(6,10),(7,8)]=>5
[(1,10),(2,3),(4,5),(6,9),(7,8)]=>5
[(1,10),(2,4),(3,5),(6,9),(7,8)]=>4
[(1,9),(2,4),(3,5),(6,10),(7,8)]=>4
[(1,8),(2,4),(3,5),(6,10),(7,9)]=>4
[(1,7),(2,4),(3,5),(6,10),(8,9)]=>5
[(1,6),(2,4),(3,5),(7,10),(8,9)]=>6
[(1,5),(2,4),(3,6),(7,10),(8,9)]=>6
[(1,4),(2,5),(3,6),(7,10),(8,9)]=>6
[(1,3),(2,5),(4,6),(7,10),(8,9)]=>7
[(1,2),(3,5),(4,6),(7,10),(8,9)]=>8
[(1,2),(3,6),(4,5),(7,10),(8,9)]=>8
[(1,3),(2,6),(4,5),(7,10),(8,9)]=>7
[(1,4),(2,6),(3,5),(7,10),(8,9)]=>6
[(1,5),(2,6),(3,4),(7,10),(8,9)]=>6
[(1,6),(2,5),(3,4),(7,10),(8,9)]=>6
[(1,7),(2,5),(3,4),(6,10),(8,9)]=>5
[(1,8),(2,5),(3,4),(6,10),(7,9)]=>4
[(1,9),(2,5),(3,4),(6,10),(7,8)]=>4
[(1,10),(2,5),(3,4),(6,9),(7,8)]=>4
[(1,10),(2,6),(3,4),(5,9),(7,8)]=>3
[(1,9),(2,6),(3,4),(5,10),(7,8)]=>3
[(1,8),(2,6),(3,4),(5,10),(7,9)]=>3
[(1,7),(2,6),(3,4),(5,10),(8,9)]=>4
[(1,6),(2,7),(3,4),(5,10),(8,9)]=>4
[(1,5),(2,7),(3,4),(6,10),(8,9)]=>5
[(1,4),(2,7),(3,5),(6,10),(8,9)]=>5
[(1,3),(2,7),(4,5),(6,10),(8,9)]=>6
[(1,2),(3,7),(4,5),(6,10),(8,9)]=>7
[(1,2),(3,8),(4,5),(6,10),(7,9)]=>6
[(1,3),(2,8),(4,5),(6,10),(7,9)]=>5
[(1,4),(2,8),(3,5),(6,10),(7,9)]=>4
[(1,5),(2,8),(3,4),(6,10),(7,9)]=>4
[(1,6),(2,8),(3,4),(5,10),(7,9)]=>3
[(1,7),(2,8),(3,4),(5,10),(6,9)]=>2
[(1,8),(2,7),(3,4),(5,10),(6,9)]=>2
[(1,9),(2,7),(3,4),(5,10),(6,8)]=>2
[(1,10),(2,7),(3,4),(5,9),(6,8)]=>2
[(1,10),(2,8),(3,4),(5,9),(6,7)]=>2
[(1,9),(2,8),(3,4),(5,10),(6,7)]=>2
[(1,8),(2,9),(3,4),(5,10),(6,7)]=>2
[(1,7),(2,9),(3,4),(5,10),(6,8)]=>2
[(1,6),(2,9),(3,4),(5,10),(7,8)]=>3
[(1,5),(2,9),(3,4),(6,10),(7,8)]=>4
[(1,4),(2,9),(3,5),(6,10),(7,8)]=>4
[(1,3),(2,9),(4,5),(6,10),(7,8)]=>5
[(1,2),(3,9),(4,5),(6,10),(7,8)]=>6
[(1,2),(3,10),(4,5),(6,9),(7,8)]=>6
[(1,3),(2,10),(4,5),(6,9),(7,8)]=>5
[(1,4),(2,10),(3,5),(6,9),(7,8)]=>4
[(1,5),(2,10),(3,4),(6,9),(7,8)]=>4
[(1,6),(2,10),(3,4),(5,9),(7,8)]=>3
[(1,7),(2,10),(3,4),(5,9),(6,8)]=>2
[(1,8),(2,10),(3,4),(5,9),(6,7)]=>2
[(1,9),(2,10),(3,4),(5,8),(6,7)]=>2
[(1,10),(2,9),(3,4),(5,8),(6,7)]=>2
[(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)]=>2
[(1,5),(2,10),(3,6),(4,9),(7,8)]=>2
[(1,4),(2,10),(3,6),(5,9),(7,8)]=>3
[(1,3),(2,10),(4,6),(5,9),(7,8)]=>4
[(1,2),(3,10),(4,6),(5,9),(7,8)]=>5
[(1,2),(3,9),(4,6),(5,10),(7,8)]=>5
[(1,3),(2,9),(4,6),(5,10),(7,8)]=>4
[(1,4),(2,9),(3,6),(5,10),(7,8)]=>3
[(1,5),(2,9),(3,6),(4,10),(7,8)]=>2
[(1,6),(2,9),(3,5),(4,10),(7,8)]=>2
[(1,7),(2,9),(3,5),(4,10),(6,8)]=>1
[(1,8),(2,9),(3,5),(4,10),(6,7)]=>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)]=>2
[(1,5),(2,8),(3,6),(4,10),(7,9)]=>2
[(1,4),(2,8),(3,6),(5,10),(7,9)]=>3
[(1,3),(2,8),(4,6),(5,10),(7,9)]=>4
[(1,2),(3,8),(4,6),(5,10),(7,9)]=>5
[(1,2),(3,7),(4,6),(5,10),(8,9)]=>6
[(1,3),(2,7),(4,6),(5,10),(8,9)]=>5
[(1,4),(2,7),(3,6),(5,10),(8,9)]=>4
[(1,5),(2,7),(3,6),(4,10),(8,9)]=>3
[(1,6),(2,7),(3,5),(4,10),(8,9)]=>3
[(1,7),(2,6),(3,5),(4,10),(8,9)]=>3
[(1,8),(2,6),(3,5),(4,10),(7,9)]=>2
[(1,9),(2,6),(3,5),(4,10),(7,8)]=>2
[(1,10),(2,6),(3,5),(4,9),(7,8)]=>2
[(1,10),(2,5),(3,6),(4,9),(7,8)]=>2
[(1,9),(2,5),(3,6),(4,10),(7,8)]=>2
[(1,8),(2,5),(3,6),(4,10),(7,9)]=>2
[(1,7),(2,5),(3,6),(4,10),(8,9)]=>3
[(1,6),(2,5),(3,7),(4,10),(8,9)]=>3
[(1,5),(2,6),(3,7),(4,10),(8,9)]=>3
[(1,4),(2,6),(3,7),(5,10),(8,9)]=>4
[(1,3),(2,6),(4,7),(5,10),(8,9)]=>5
[(1,2),(3,6),(4,7),(5,10),(8,9)]=>6
[(1,2),(3,5),(4,7),(6,10),(8,9)]=>7
[(1,3),(2,5),(4,7),(6,10),(8,9)]=>6
[(1,4),(2,5),(3,7),(6,10),(8,9)]=>5
[(1,5),(2,4),(3,7),(6,10),(8,9)]=>5
[(1,6),(2,4),(3,7),(5,10),(8,9)]=>4
[(1,7),(2,4),(3,6),(5,10),(8,9)]=>4
[(1,8),(2,4),(3,6),(5,10),(7,9)]=>3
[(1,9),(2,4),(3,6),(5,10),(7,8)]=>3
[(1,10),(2,4),(3,6),(5,9),(7,8)]=>3
[(1,10),(2,3),(4,6),(5,9),(7,8)]=>4
[(1,9),(2,3),(4,6),(5,10),(7,8)]=>4
[(1,8),(2,3),(4,6),(5,10),(7,9)]=>4
[(1,7),(2,3),(4,6),(5,10),(8,9)]=>5
[(1,6),(2,3),(4,7),(5,10),(8,9)]=>5
[(1,5),(2,3),(4,7),(6,10),(8,9)]=>6
[(1,4),(2,3),(5,7),(6,10),(8,9)]=>7
[(1,3),(2,4),(5,7),(6,10),(8,9)]=>7
[(1,2),(3,4),(5,7),(6,10),(8,9)]=>8
[(1,2),(3,4),(5,8),(6,10),(7,9)]=>7
[(1,3),(2,4),(5,8),(6,10),(7,9)]=>6
[(1,4),(2,3),(5,8),(6,10),(7,9)]=>6
[(1,5),(2,3),(4,8),(6,10),(7,9)]=>5
[(1,6),(2,3),(4,8),(5,10),(7,9)]=>4
[(1,7),(2,3),(4,8),(5,10),(6,9)]=>3
[(1,8),(2,3),(4,7),(5,10),(6,9)]=>3
[(1,9),(2,3),(4,7),(5,10),(6,8)]=>3
[(1,10),(2,3),(4,7),(5,9),(6,8)]=>3
[(1,10),(2,4),(3,7),(5,9),(6,8)]=>2
[(1,9),(2,4),(3,7),(5,10),(6,8)]=>2
[(1,8),(2,4),(3,7),(5,10),(6,9)]=>2
[(1,7),(2,4),(3,8),(5,10),(6,9)]=>2
[(1,6),(2,4),(3,8),(5,10),(7,9)]=>3
[(1,5),(2,4),(3,8),(6,10),(7,9)]=>4
[(1,4),(2,5),(3,8),(6,10),(7,9)]=>4
[(1,3),(2,5),(4,8),(6,10),(7,9)]=>5
[(1,2),(3,5),(4,8),(6,10),(7,9)]=>6
[(1,2),(3,6),(4,8),(5,10),(7,9)]=>5
[(1,3),(2,6),(4,8),(5,10),(7,9)]=>4
[(1,4),(2,6),(3,8),(5,10),(7,9)]=>3
[(1,5),(2,6),(3,8),(4,10),(7,9)]=>2
[(1,6),(2,5),(3,8),(4,10),(7,9)]=>2
[(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)]=>0
[(1,9),(2,6),(3,7),(4,10),(5,8)]=>0
[(1,8),(2,6),(3,7),(4,10),(5,9)]=>0
[(1,7),(2,6),(3,8),(4,10),(5,9)]=>0
[(1,6),(2,7),(3,8),(4,10),(5,9)]=>0
[(1,5),(2,7),(3,8),(4,10),(6,9)]=>1
[(1,4),(2,7),(3,8),(5,10),(6,9)]=>2
[(1,3),(2,7),(4,8),(5,10),(6,9)]=>3
[(1,2),(3,7),(4,8),(5,10),(6,9)]=>4
[(1,2),(3,8),(4,7),(5,10),(6,9)]=>4
[(1,3),(2,8),(4,7),(5,10),(6,9)]=>3
[(1,4),(2,8),(3,7),(5,10),(6,9)]=>2
[(1,5),(2,8),(3,7),(4,10),(6,9)]=>1
[(1,6),(2,8),(3,7),(4,10),(5,9)]=>0
[(1,7),(2,8),(3,6),(4,10),(5,9)]=>0
[(1,8),(2,7),(3,6),(4,10),(5,9)]=>0
[(1,9),(2,7),(3,6),(4,10),(5,8)]=>0
[(1,10),(2,7),(3,6),(4,9),(5,8)]=>0
[(1,10),(2,8),(3,6),(4,9),(5,7)]=>0
[(1,9),(2,8),(3,6),(4,10),(5,7)]=>0
[(1,8),(2,9),(3,6),(4,10),(5,7)]=>0
[(1,7),(2,9),(3,6),(4,10),(5,8)]=>0
[(1,6),(2,9),(3,7),(4,10),(5,8)]=>0
[(1,5),(2,9),(3,7),(4,10),(6,8)]=>1
[(1,4),(2,9),(3,7),(5,10),(6,8)]=>2
[(1,3),(2,9),(4,7),(5,10),(6,8)]=>3
[(1,2),(3,9),(4,7),(5,10),(6,8)]=>4
[(1,2),(3,10),(4,7),(5,9),(6,8)]=>4
[(1,3),(2,10),(4,7),(5,9),(6,8)]=>3
[(1,4),(2,10),(3,7),(5,9),(6,8)]=>2
[(1,5),(2,10),(3,7),(4,9),(6,8)]=>1
[(1,6),(2,10),(3,7),(4,9),(5,8)]=>0
[(1,7),(2,10),(3,6),(4,9),(5,8)]=>0
[(1,8),(2,10),(3,6),(4,9),(5,7)]=>0
[(1,9),(2,10),(3,6),(4,8),(5,7)]=>0
[(1,10),(2,9),(3,6),(4,8),(5,7)]=>0
[(1,10),(2,9),(3,7),(4,8),(5,6)]=>0
[(1,9),(2,10),(3,7),(4,8),(5,6)]=>0
[(1,8),(2,10),(3,7),(4,9),(5,6)]=>0
[(1,7),(2,10),(3,8),(4,9),(5,6)]=>0
[(1,6),(2,10),(3,8),(4,9),(5,7)]=>0
[(1,5),(2,10),(3,8),(4,9),(6,7)]=>1
[(1,4),(2,10),(3,8),(5,9),(6,7)]=>2
[(1,3),(2,10),(4,8),(5,9),(6,7)]=>3
[(1,2),(3,10),(4,8),(5,9),(6,7)]=>4
[(1,2),(3,9),(4,8),(5,10),(6,7)]=>4
[(1,3),(2,9),(4,8),(5,10),(6,7)]=>3
[(1,4),(2,9),(3,8),(5,10),(6,7)]=>2
[(1,5),(2,9),(3,8),(4,10),(6,7)]=>1
[(1,6),(2,9),(3,8),(4,10),(5,7)]=>0
[(1,7),(2,9),(3,8),(4,10),(5,6)]=>0
[(1,8),(2,9),(3,7),(4,10),(5,6)]=>0
[(1,9),(2,8),(3,7),(4,10),(5,6)]=>0
[(1,10),(2,8),(3,7),(4,9),(5,6)]=>0
[(1,10),(2,7),(3,8),(4,9),(5,6)]=>0
[(1,9),(2,7),(3,8),(4,10),(5,6)]=>0
[(1,8),(2,7),(3,9),(4,10),(5,6)]=>0
[(1,7),(2,8),(3,9),(4,10),(5,6)]=>0
[(1,6),(2,8),(3,9),(4,10),(5,7)]=>0
[(1,5),(2,8),(3,9),(4,10),(6,7)]=>1
[(1,4),(2,8),(3,9),(5,10),(6,7)]=>2
[(1,3),(2,8),(4,9),(5,10),(6,7)]=>3
[(1,2),(3,8),(4,9),(5,10),(6,7)]=>4
[(1,2),(3,7),(4,9),(5,10),(6,8)]=>4
[(1,3),(2,7),(4,9),(5,10),(6,8)]=>3
[(1,4),(2,7),(3,9),(5,10),(6,8)]=>2
[(1,5),(2,7),(3,9),(4,10),(6,8)]=>1
[(1,6),(2,7),(3,9),(4,10),(5,8)]=>0
[(1,7),(2,6),(3,9),(4,10),(5,8)]=>0
[(1,8),(2,6),(3,9),(4,10),(5,7)]=>0
[(1,9),(2,6),(3,8),(4,10),(5,7)]=>0
[(1,10),(2,6),(3,8),(4,9),(5,7)]=>0
[(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)]=>2
[(1,5),(2,6),(3,9),(4,10),(7,8)]=>2
[(1,4),(2,6),(3,9),(5,10),(7,8)]=>3
[(1,3),(2,6),(4,9),(5,10),(7,8)]=>4
[(1,2),(3,6),(4,9),(5,10),(7,8)]=>5
[(1,2),(3,5),(4,9),(6,10),(7,8)]=>6
[(1,3),(2,5),(4,9),(6,10),(7,8)]=>5
[(1,4),(2,5),(3,9),(6,10),(7,8)]=>4
[(1,5),(2,4),(3,9),(6,10),(7,8)]=>4
[(1,6),(2,4),(3,9),(5,10),(7,8)]=>3
[(1,7),(2,4),(3,9),(5,10),(6,8)]=>2
[(1,8),(2,4),(3,9),(5,10),(6,7)]=>2
[(1,9),(2,4),(3,8),(5,10),(6,7)]=>2
[(1,10),(2,4),(3,8),(5,9),(6,7)]=>2
[(1,10),(2,3),(4,8),(5,9),(6,7)]=>3
[(1,9),(2,3),(4,8),(5,10),(6,7)]=>3
[(1,8),(2,3),(4,9),(5,10),(6,7)]=>3
[(1,7),(2,3),(4,9),(5,10),(6,8)]=>3
[(1,6),(2,3),(4,9),(5,10),(7,8)]=>4
[(1,5),(2,3),(4,9),(6,10),(7,8)]=>5
[(1,4),(2,3),(5,9),(6,10),(7,8)]=>6
[(1,3),(2,4),(5,9),(6,10),(7,8)]=>6
[(1,2),(3,4),(5,9),(6,10),(7,8)]=>7
[(1,2),(3,4),(5,10),(6,9),(7,8)]=>7
[(1,3),(2,4),(5,10),(6,9),(7,8)]=>6
[(1,4),(2,3),(5,10),(6,9),(7,8)]=>6
[(1,5),(2,3),(4,10),(6,9),(7,8)]=>5
[(1,6),(2,3),(4,10),(5,9),(7,8)]=>4
[(1,7),(2,3),(4,10),(5,9),(6,8)]=>3
[(1,8),(2,3),(4,10),(5,9),(6,7)]=>3
[(1,9),(2,3),(4,10),(5,8),(6,7)]=>3
[(1,10),(2,3),(4,9),(5,8),(6,7)]=>3
[(1,10),(2,4),(3,9),(5,8),(6,7)]=>2
[(1,9),(2,4),(3,10),(5,8),(6,7)]=>2
[(1,8),(2,4),(3,10),(5,9),(6,7)]=>2
[(1,7),(2,4),(3,10),(5,9),(6,8)]=>2
[(1,6),(2,4),(3,10),(5,9),(7,8)]=>3
[(1,5),(2,4),(3,10),(6,9),(7,8)]=>4
[(1,4),(2,5),(3,10),(6,9),(7,8)]=>4
[(1,3),(2,5),(4,10),(6,9),(7,8)]=>5
[(1,2),(3,5),(4,10),(6,9),(7,8)]=>6
[(1,2),(3,6),(4,10),(5,9),(7,8)]=>5
[(1,3),(2,6),(4,10),(5,9),(7,8)]=>4
[(1,4),(2,6),(3,10),(5,9),(7,8)]=>3
[(1,5),(2,6),(3,10),(4,9),(7,8)]=>2
[(1,6),(2,5),(3,10),(4,9),(7,8)]=>2
[(1,7),(2,5),(3,10),(4,9),(6,8)]=>1
[(1,8),(2,5),(3,10),(4,9),(6,7)]=>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)]=>0
[(1,9),(2,6),(3,10),(4,8),(5,7)]=>0
[(1,8),(2,6),(3,10),(4,9),(5,7)]=>0
[(1,7),(2,6),(3,10),(4,9),(5,8)]=>0
[(1,6),(2,7),(3,10),(4,9),(5,8)]=>0
[(1,5),(2,7),(3,10),(4,9),(6,8)]=>1
[(1,4),(2,7),(3,10),(5,9),(6,8)]=>2
[(1,3),(2,7),(4,10),(5,9),(6,8)]=>3
[(1,2),(3,7),(4,10),(5,9),(6,8)]=>4
[(1,2),(3,8),(4,10),(5,9),(6,7)]=>4
[(1,3),(2,8),(4,10),(5,9),(6,7)]=>3
[(1,4),(2,8),(3,10),(5,9),(6,7)]=>2
[(1,5),(2,8),(3,10),(4,9),(6,7)]=>1
[(1,6),(2,8),(3,10),(4,9),(5,7)]=>0
[(1,7),(2,8),(3,10),(4,9),(5,6)]=>0
[(1,8),(2,7),(3,10),(4,9),(5,6)]=>0
[(1,9),(2,7),(3,10),(4,8),(5,6)]=>0
[(1,10),(2,7),(3,9),(4,8),(5,6)]=>0
[(1,10),(2,8),(3,9),(4,7),(5,6)]=>0
[(1,9),(2,8),(3,10),(4,7),(5,6)]=>0
[(1,8),(2,9),(3,10),(4,7),(5,6)]=>0
[(1,7),(2,9),(3,10),(4,8),(5,6)]=>0
[(1,6),(2,9),(3,10),(4,8),(5,7)]=>0
[(1,5),(2,9),(3,10),(4,8),(6,7)]=>1
[(1,4),(2,9),(3,10),(5,8),(6,7)]=>2
[(1,3),(2,9),(4,10),(5,8),(6,7)]=>3
[(1,2),(3,9),(4,10),(5,8),(6,7)]=>4
[(1,2),(3,10),(4,9),(5,8),(6,7)]=>4
[(1,3),(2,10),(4,9),(5,8),(6,7)]=>3
[(1,4),(2,10),(3,9),(5,8),(6,7)]=>2
[(1,5),(2,10),(3,9),(4,8),(6,7)]=>1
[(1,6),(2,10),(3,9),(4,8),(5,7)]=>0
[(1,7),(2,10),(3,9),(4,8),(5,6)]=>0
[(1,8),(2,10),(3,9),(4,7),(5,6)]=>0
[(1,9),(2,10),(3,8),(4,7),(5,6)]=>0
[(1,10),(2,9),(3,8),(4,7),(5,6)]=>0
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>14
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>13
[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>13
[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>12
[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>11
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>15
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>14
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>12
[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>11
[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>10
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>14
[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>13
[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>12
[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>9
[(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]=>14
[(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]=>14
[(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]=>13
[(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]=>12
[(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]=>14
[(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]=>13
[(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]=>13
[(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]=>12
[(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]=>11
[(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]=>12
[(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]=>11
[(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]=>10
[(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]=>9
[(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]=>14
[(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]=>13
[(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]=>13
[(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]=>12
[(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]=>11
[(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]=>13
[(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]=>12
[(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]=>12
[(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]=>11
[(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]=>10
[(1,2),(3,4),(5,6),(7,9),(8,12),(10,11)]=>13
[(1,2),(3,4),(5,6),(7,10),(8,12),(9,11)]=>12
[(1,2),(3,4),(5,6),(7,11),(8,9),(10,12)]=>13
[(1,2),(3,4),(5,6),(7,11),(8,10),(9,12)]=>12
[(1,2),(3,4),(5,6),(7,11),(8,12),(9,10)]=>12
[(1,2),(3,4),(5,6),(7,12),(8,10),(9,11)]=>12
[(1,2),(3,4),(5,7),(6,8),(9,12),(10,11)]=>13
[(1,2),(3,4),(5,7),(6,9),(8,12),(10,11)]=>12
[(1,2),(3,4),(5,7),(6,10),(8,9),(11,12)]=>13
[(1,2),(3,4),(5,7),(6,10),(8,12),(9,11)]=>11
[(1,2),(3,4),(5,7),(6,11),(8,9),(10,12)]=>12
[(1,2),(3,4),(5,7),(6,11),(8,10),(9,12)]=>11
[(1,2),(3,4),(5,7),(6,11),(8,12),(9,10)]=>11
[(1,2),(3,4),(5,7),(6,12),(8,9),(10,11)]=>12
[(1,2),(3,4),(5,7),(6,12),(8,10),(9,11)]=>11
[(1,2),(3,4),(5,7),(6,12),(8,11),(9,10)]=>11
[(1,2),(3,4),(5,8),(6,7),(9,11),(10,12)]=>13
[(1,2),(3,4),(5,8),(6,9),(7,12),(10,11)]=>11
[(1,2),(3,4),(5,8),(6,10),(7,12),(9,11)]=>10
[(1,2),(3,4),(5,8),(6,10),(7,9),(11,12)]=>12
[(1,2),(3,4),(5,8),(6,11),(7,12),(9,10)]=>10
[(1,2),(3,4),(5,8),(6,11),(7,10),(9,12)]=>10
[(1,2),(3,4),(5,8),(6,11),(7,9),(10,12)]=>11
[(1,2),(3,4),(5,8),(6,12),(7,11),(9,10)]=>10
[(1,2),(3,4),(5,8),(6,12),(7,10),(9,11)]=>10
[(1,2),(3,4),(5,8),(6,12),(7,9),(10,11)]=>11
[(1,2),(3,4),(5,9),(6,7),(8,10),(11,12)]=>13
[(1,2),(3,4),(5,9),(6,7),(8,11),(10,12)]=>12
[(1,2),(3,4),(5,9),(6,7),(8,12),(10,11)]=>12
[(1,2),(3,4),(5,9),(6,8),(7,12),(10,11)]=>11
[(1,2),(3,4),(5,9),(6,8),(7,11),(10,12)]=>11
[(1,2),(3,4),(5,9),(6,8),(7,10),(11,12)]=>12
[(1,2),(3,4),(5,9),(6,10),(7,12),(8,11)]=>9
[(1,2),(3,4),(5,9),(6,10),(7,8),(11,12)]=>12
[(1,2),(3,4),(5,9),(6,11),(7,12),(8,10)]=>9
[(1,2),(3,4),(5,9),(6,11),(7,10),(8,12)]=>9
[(1,2),(3,4),(5,9),(6,11),(7,8),(10,12)]=>11
[(1,2),(3,4),(5,9),(6,12),(7,11),(8,10)]=>9
[(1,2),(3,4),(5,9),(6,12),(7,10),(8,11)]=>9
[(1,2),(3,4),(5,9),(6,12),(7,8),(10,11)]=>11
[(1,2),(3,4),(5,10),(6,7),(8,11),(9,12)]=>11
[(1,2),(3,4),(5,10),(6,7),(8,12),(9,11)]=>11
[(1,2),(3,4),(5,10),(6,8),(7,12),(9,11)]=>10
[(1,2),(3,4),(5,10),(6,8),(7,11),(9,12)]=>10
[(1,2),(3,4),(5,10),(6,8),(7,9),(11,12)]=>12
[(1,2),(3,4),(5,10),(6,9),(7,12),(8,11)]=>9
[(1,2),(3,4),(5,10),(6,9),(7,11),(8,12)]=>9
[(1,2),(3,4),(5,10),(6,11),(7,12),(8,9)]=>9
[(1,2),(3,4),(5,10),(6,11),(7,9),(8,12)]=>9
[(1,2),(3,4),(5,10),(6,11),(7,8),(9,12)]=>10
[(1,2),(3,4),(5,10),(6,12),(7,11),(8,9)]=>9
[(1,2),(3,4),(5,10),(6,12),(7,9),(8,11)]=>9
[(1,2),(3,4),(5,10),(6,12),(7,8),(9,11)]=>10
[(1,2),(3,4),(5,11),(6,7),(8,9),(10,12)]=>12
[(1,2),(3,4),(5,11),(6,7),(8,10),(9,12)]=>11
[(1,2),(3,4),(5,11),(6,7),(8,12),(9,10)]=>11
[(1,2),(3,4),(5,11),(6,8),(7,12),(9,10)]=>10
[(1,2),(3,4),(5,11),(6,8),(7,10),(9,12)]=>10
[(1,2),(3,4),(5,11),(6,8),(7,9),(10,12)]=>11
[(1,2),(3,4),(5,11),(6,9),(7,12),(8,10)]=>9
[(1,2),(3,4),(5,11),(6,9),(7,10),(8,12)]=>9
[(1,2),(3,4),(5,11),(6,9),(7,8),(10,12)]=>11
[(1,2),(3,4),(5,11),(6,10),(7,12),(8,9)]=>9
[(1,2),(3,4),(5,11),(6,10),(7,9),(8,12)]=>9
[(1,2),(3,4),(5,11),(6,10),(7,8),(9,12)]=>10
[(1,2),(3,4),(5,11),(6,12),(7,10),(8,9)]=>9
[(1,2),(3,4),(5,11),(6,12),(7,9),(8,10)]=>9
[(1,2),(3,4),(5,11),(6,12),(7,8),(9,10)]=>10
[(1,2),(3,4),(5,12),(6,7),(8,10),(9,11)]=>11
[(1,2),(3,4),(5,12),(6,8),(7,11),(9,10)]=>10
[(1,2),(3,4),(5,12),(6,8),(7,10),(9,11)]=>10
[(1,2),(3,4),(5,12),(6,8),(7,9),(10,11)]=>11
[(1,2),(3,4),(5,12),(6,9),(7,11),(8,10)]=>9
[(1,2),(3,4),(5,12),(6,9),(7,10),(8,11)]=>9
[(1,2),(3,4),(5,12),(6,10),(7,11),(8,9)]=>9
[(1,2),(3,4),(5,12),(6,10),(7,9),(8,11)]=>9
[(1,2),(3,4),(5,12),(6,10),(7,8),(9,11)]=>10
[(1,2),(3,4),(5,12),(6,11),(7,9),(8,10)]=>9
[(1,2),(3,5),(4,6),(7,8),(9,12),(10,11)]=>13
[(1,2),(3,5),(4,6),(7,9),(8,12),(10,11)]=>12
[(1,2),(3,5),(4,6),(7,10),(8,9),(11,12)]=>13
[(1,2),(3,5),(4,6),(7,10),(8,12),(9,11)]=>11
[(1,2),(3,5),(4,6),(7,11),(8,9),(10,12)]=>12
[(1,2),(3,5),(4,6),(7,11),(8,10),(9,12)]=>11
[(1,2),(3,5),(4,6),(7,11),(8,12),(9,10)]=>11
[(1,2),(3,5),(4,6),(7,12),(8,9),(10,11)]=>12
[(1,2),(3,5),(4,6),(7,12),(8,10),(9,11)]=>11
[(1,2),(3,5),(4,6),(7,12),(8,11),(9,10)]=>11
[(1,2),(3,5),(4,7),(6,8),(9,12),(10,11)]=>12
[(1,2),(3,5),(4,7),(6,9),(8,12),(10,11)]=>11
[(1,2),(3,5),(4,7),(6,10),(8,9),(11,12)]=>12
[(1,2),(3,5),(4,7),(6,10),(8,12),(9,11)]=>10
[(1,2),(3,5),(4,7),(6,11),(8,9),(10,12)]=>11
[(1,2),(3,5),(4,7),(6,11),(8,10),(9,12)]=>10
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Description
The number of alignments in a perfect matching.
An alignment is a pair of edges $(i,j)$, $(k,l)$ such that $i < j < k < l$.
Since any two edges in a perfect matching are either nesting (St000041The number of nestings of a perfect matching.), crossing (St000042The number of crossings of a perfect matching.) or form an alignment, the sum of these numbers in a perfect matching with $n$ edges is $\binom{n}{2}$.
An alignment is a pair of edges $(i,j)$, $(k,l)$ such that $i < j < k < l$.
Since any two edges in a perfect matching are either nesting (St000041The number of nestings of a perfect matching.), crossing (St000042The number of crossings of a perfect matching.) or form an alignment, the sum of these numbers in a perfect matching with $n$ edges is $\binom{n}{2}$.
References
[1] Kasraoui, A., Zeng, J. Distribution of crossings, nestings and alignments of two edges in matchings and partitions MathSciNet:2212506
Code
def statistic(m):
res = 0
l = sorted(m, key=min)
for i in range(len(l)):
for j in range(i+1, len(l)):
if max(l[i]) < min(l[j]):
res += 1
return res
Created
Mar 25, 2017 at 22:04 by Martin Rubey
Updated
Nov 12, 2017 at 19:47 by Martin Rubey
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