Identifier
Values
=>
Cc0012;cc-rep
[(1,2)]=>0
[(1,2),(3,4)]=>0
[(1,3),(2,4)]=>0
[(1,4),(2,3)]=>0
[(1,2),(3,4),(5,6)]=>0
[(1,3),(2,4),(5,6)]=>0
[(1,4),(2,3),(5,6)]=>0
[(1,5),(2,3),(4,6)]=>0
[(1,6),(2,3),(4,5)]=>0
[(1,6),(2,4),(3,5)]=>0
[(1,5),(2,4),(3,6)]=>0
[(1,4),(2,5),(3,6)]=>1
[(1,3),(2,5),(4,6)]=>0
[(1,2),(3,5),(4,6)]=>0
[(1,2),(3,6),(4,5)]=>0
[(1,3),(2,6),(4,5)]=>0
[(1,4),(2,6),(3,5)]=>1
[(1,5),(2,6),(3,4)]=>2
[(1,6),(2,5),(3,4)]=>0
[(1,2),(3,4),(5,6),(7,8)]=>0
[(1,3),(2,4),(5,6),(7,8)]=>0
[(1,4),(2,3),(5,6),(7,8)]=>0
[(1,5),(2,3),(4,6),(7,8)]=>0
[(1,6),(2,3),(4,5),(7,8)]=>0
[(1,7),(2,3),(4,5),(6,8)]=>0
[(1,8),(2,3),(4,5),(6,7)]=>0
[(1,8),(2,4),(3,5),(6,7)]=>0
[(1,7),(2,4),(3,5),(6,8)]=>0
[(1,6),(2,4),(3,5),(7,8)]=>0
[(1,5),(2,4),(3,6),(7,8)]=>0
[(1,4),(2,5),(3,6),(7,8)]=>1
[(1,3),(2,5),(4,6),(7,8)]=>0
[(1,2),(3,5),(4,6),(7,8)]=>0
[(1,2),(3,6),(4,5),(7,8)]=>0
[(1,3),(2,6),(4,5),(7,8)]=>0
[(1,4),(2,6),(3,5),(7,8)]=>1
[(1,5),(2,6),(3,4),(7,8)]=>2
[(1,6),(2,5),(3,4),(7,8)]=>0
[(1,7),(2,5),(3,4),(6,8)]=>0
[(1,8),(2,5),(3,4),(6,7)]=>0
[(1,8),(2,6),(3,4),(5,7)]=>0
[(1,7),(2,6),(3,4),(5,8)]=>0
[(1,6),(2,7),(3,4),(5,8)]=>3
[(1,5),(2,7),(3,4),(6,8)]=>2
[(1,4),(2,7),(3,5),(6,8)]=>1
[(1,3),(2,7),(4,5),(6,8)]=>0
[(1,2),(3,7),(4,5),(6,8)]=>0
[(1,2),(3,8),(4,5),(6,7)]=>0
[(1,3),(2,8),(4,5),(6,7)]=>0
[(1,4),(2,8),(3,5),(6,7)]=>1
[(1,5),(2,8),(3,4),(6,7)]=>2
[(1,6),(2,8),(3,4),(5,7)]=>3
[(1,7),(2,8),(3,4),(5,6)]=>4
[(1,8),(2,7),(3,4),(5,6)]=>0
[(1,8),(2,7),(3,5),(4,6)]=>0
[(1,7),(2,8),(3,5),(4,6)]=>4
[(1,6),(2,8),(3,5),(4,7)]=>3
[(1,5),(2,8),(3,6),(4,7)]=>3
[(1,4),(2,8),(3,6),(5,7)]=>1
[(1,3),(2,8),(4,6),(5,7)]=>0
[(1,2),(3,8),(4,6),(5,7)]=>0
[(1,2),(3,7),(4,6),(5,8)]=>0
[(1,3),(2,7),(4,6),(5,8)]=>0
[(1,4),(2,7),(3,6),(5,8)]=>1
[(1,5),(2,7),(3,6),(4,8)]=>3
[(1,6),(2,7),(3,5),(4,8)]=>3
[(1,7),(2,6),(3,5),(4,8)]=>0
[(1,8),(2,6),(3,5),(4,7)]=>0
[(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)]=>2
[(1,5),(2,6),(3,7),(4,8)]=>4
[(1,4),(2,6),(3,7),(5,8)]=>2
[(1,3),(2,6),(4,7),(5,8)]=>1
[(1,2),(3,6),(4,7),(5,8)]=>1
[(1,2),(3,5),(4,7),(6,8)]=>0
[(1,3),(2,5),(4,7),(6,8)]=>0
[(1,4),(2,5),(3,7),(6,8)]=>1
[(1,5),(2,4),(3,7),(6,8)]=>0
[(1,6),(2,4),(3,7),(5,8)]=>1
[(1,7),(2,4),(3,6),(5,8)]=>0
[(1,8),(2,4),(3,6),(5,7)]=>0
[(1,8),(2,3),(4,6),(5,7)]=>0
[(1,7),(2,3),(4,6),(5,8)]=>0
[(1,6),(2,3),(4,7),(5,8)]=>1
[(1,5),(2,3),(4,7),(6,8)]=>0
[(1,4),(2,3),(5,7),(6,8)]=>0
[(1,3),(2,4),(5,7),(6,8)]=>0
[(1,2),(3,4),(5,7),(6,8)]=>0
[(1,2),(3,4),(5,8),(6,7)]=>0
[(1,3),(2,4),(5,8),(6,7)]=>0
[(1,4),(2,3),(5,8),(6,7)]=>0
[(1,5),(2,3),(4,8),(6,7)]=>0
[(1,6),(2,3),(4,8),(5,7)]=>1
[(1,7),(2,3),(4,8),(5,6)]=>2
[(1,8),(2,3),(4,7),(5,6)]=>0
[(1,8),(2,4),(3,7),(5,6)]=>0
[(1,7),(2,4),(3,8),(5,6)]=>2
[(1,6),(2,4),(3,8),(5,7)]=>1
[(1,5),(2,4),(3,8),(6,7)]=>0
[(1,4),(2,5),(3,8),(6,7)]=>1
[(1,3),(2,5),(4,8),(6,7)]=>0
[(1,2),(3,5),(4,8),(6,7)]=>0
[(1,2),(3,6),(4,8),(5,7)]=>1
[(1,3),(2,6),(4,8),(5,7)]=>1
[(1,4),(2,6),(3,8),(5,7)]=>2
[(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)]=>3
[(1,8),(2,5),(3,7),(4,6)]=>1
[(1,8),(2,6),(3,7),(4,5)]=>2
[(1,7),(2,6),(3,8),(4,5)]=>4
[(1,6),(2,7),(3,8),(4,5)]=>7
[(1,5),(2,7),(3,8),(4,6)]=>5
[(1,4),(2,7),(3,8),(5,6)]=>3
[(1,3),(2,7),(4,8),(5,6)]=>2
[(1,2),(3,7),(4,8),(5,6)]=>2
[(1,2),(3,8),(4,7),(5,6)]=>0
[(1,3),(2,8),(4,7),(5,6)]=>0
[(1,4),(2,8),(3,7),(5,6)]=>1
[(1,5),(2,8),(3,7),(4,6)]=>3
[(1,6),(2,8),(3,7),(4,5)]=>5
[(1,7),(2,8),(3,6),(4,5)]=>4
[(1,8),(2,7),(3,6),(4,5)]=>0
[(1,2),(3,4),(5,6),(7,8),(9,10)]=>0
[(1,3),(2,4),(5,6),(7,8),(9,10)]=>0
[(1,4),(2,3),(5,6),(7,8),(9,10)]=>0
[(1,5),(2,3),(4,6),(7,8),(9,10)]=>0
[(1,6),(2,3),(4,5),(7,8),(9,10)]=>0
[(1,7),(2,3),(4,5),(6,8),(9,10)]=>0
[(1,8),(2,3),(4,5),(6,7),(9,10)]=>0
[(1,9),(2,3),(4,5),(6,7),(8,10)]=>0
[(1,10),(2,3),(4,5),(6,7),(8,9)]=>0
[(1,10),(2,4),(3,5),(6,7),(8,9)]=>0
[(1,9),(2,4),(3,5),(6,7),(8,10)]=>0
[(1,8),(2,4),(3,5),(6,7),(9,10)]=>0
[(1,7),(2,4),(3,5),(6,8),(9,10)]=>0
[(1,6),(2,4),(3,5),(7,8),(9,10)]=>0
[(1,5),(2,4),(3,6),(7,8),(9,10)]=>0
[(1,4),(2,5),(3,6),(7,8),(9,10)]=>1
[(1,3),(2,5),(4,6),(7,8),(9,10)]=>0
[(1,2),(3,5),(4,6),(7,8),(9,10)]=>0
[(1,2),(3,6),(4,5),(7,8),(9,10)]=>0
[(1,3),(2,6),(4,5),(7,8),(9,10)]=>0
[(1,4),(2,6),(3,5),(7,8),(9,10)]=>1
[(1,5),(2,6),(3,4),(7,8),(9,10)]=>2
[(1,6),(2,5),(3,4),(7,8),(9,10)]=>0
[(1,7),(2,5),(3,4),(6,8),(9,10)]=>0
[(1,8),(2,5),(3,4),(6,7),(9,10)]=>0
[(1,9),(2,5),(3,4),(6,7),(8,10)]=>0
[(1,10),(2,5),(3,4),(6,7),(8,9)]=>0
[(1,10),(2,6),(3,4),(5,7),(8,9)]=>0
[(1,9),(2,6),(3,4),(5,7),(8,10)]=>0
[(1,8),(2,6),(3,4),(5,7),(9,10)]=>0
[(1,7),(2,6),(3,4),(5,8),(9,10)]=>0
[(1,6),(2,7),(3,4),(5,8),(9,10)]=>3
[(1,5),(2,7),(3,4),(6,8),(9,10)]=>2
[(1,4),(2,7),(3,5),(6,8),(9,10)]=>1
[(1,3),(2,7),(4,5),(6,8),(9,10)]=>0
[(1,2),(3,7),(4,5),(6,8),(9,10)]=>0
[(1,2),(3,8),(4,5),(6,7),(9,10)]=>0
[(1,3),(2,8),(4,5),(6,7),(9,10)]=>0
[(1,4),(2,8),(3,5),(6,7),(9,10)]=>1
[(1,5),(2,8),(3,4),(6,7),(9,10)]=>2
[(1,6),(2,8),(3,4),(5,7),(9,10)]=>3
[(1,7),(2,8),(3,4),(5,6),(9,10)]=>4
[(1,8),(2,7),(3,4),(5,6),(9,10)]=>0
[(1,9),(2,7),(3,4),(5,6),(8,10)]=>0
[(1,10),(2,7),(3,4),(5,6),(8,9)]=>0
[(1,10),(2,8),(3,4),(5,6),(7,9)]=>0
[(1,9),(2,8),(3,4),(5,6),(7,10)]=>0
[(1,8),(2,9),(3,4),(5,6),(7,10)]=>5
[(1,7),(2,9),(3,4),(5,6),(8,10)]=>4
[(1,6),(2,9),(3,4),(5,7),(8,10)]=>3
[(1,5),(2,9),(3,4),(6,7),(8,10)]=>2
[(1,4),(2,9),(3,5),(6,7),(8,10)]=>1
[(1,3),(2,9),(4,5),(6,7),(8,10)]=>0
[(1,2),(3,9),(4,5),(6,7),(8,10)]=>0
[(1,2),(3,10),(4,5),(6,7),(8,9)]=>0
[(1,3),(2,10),(4,5),(6,7),(8,9)]=>0
[(1,4),(2,10),(3,5),(6,7),(8,9)]=>1
[(1,5),(2,10),(3,4),(6,7),(8,9)]=>2
[(1,6),(2,10),(3,4),(5,7),(8,9)]=>3
[(1,7),(2,10),(3,4),(5,6),(8,9)]=>4
[(1,8),(2,10),(3,4),(5,6),(7,9)]=>5
[(1,9),(2,10),(3,4),(5,6),(7,8)]=>6
[(1,10),(2,9),(3,4),(5,6),(7,8)]=>0
[(1,10),(2,9),(3,5),(4,6),(7,8)]=>0
[(1,9),(2,10),(3,5),(4,6),(7,8)]=>6
[(1,8),(2,10),(3,5),(4,6),(7,9)]=>5
[(1,7),(2,10),(3,5),(4,6),(8,9)]=>4
[(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)]=>1
[(1,3),(2,10),(4,6),(5,7),(8,9)]=>0
[(1,2),(3,10),(4,6),(5,7),(8,9)]=>0
[(1,2),(3,9),(4,6),(5,7),(8,10)]=>0
[(1,3),(2,9),(4,6),(5,7),(8,10)]=>0
[(1,4),(2,9),(3,6),(5,7),(8,10)]=>1
[(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)]=>4
[(1,8),(2,9),(3,5),(4,6),(7,10)]=>5
[(1,9),(2,8),(3,5),(4,6),(7,10)]=>0
[(1,10),(2,8),(3,5),(4,6),(7,9)]=>0
[(1,10),(2,7),(3,5),(4,6),(8,9)]=>0
[(1,9),(2,7),(3,5),(4,6),(8,10)]=>0
[(1,8),(2,7),(3,5),(4,6),(9,10)]=>0
[(1,7),(2,8),(3,5),(4,6),(9,10)]=>4
[(1,6),(2,8),(3,5),(4,7),(9,10)]=>3
[(1,5),(2,8),(3,6),(4,7),(9,10)]=>3
[(1,4),(2,8),(3,6),(5,7),(9,10)]=>1
[(1,3),(2,8),(4,6),(5,7),(9,10)]=>0
[(1,2),(3,8),(4,6),(5,7),(9,10)]=>0
[(1,2),(3,7),(4,6),(5,8),(9,10)]=>0
[(1,3),(2,7),(4,6),(5,8),(9,10)]=>0
[(1,4),(2,7),(3,6),(5,8),(9,10)]=>1
[(1,5),(2,7),(3,6),(4,8),(9,10)]=>3
[(1,6),(2,7),(3,5),(4,8),(9,10)]=>3
[(1,7),(2,6),(3,5),(4,8),(9,10)]=>0
[(1,8),(2,6),(3,5),(4,7),(9,10)]=>0
[(1,9),(2,6),(3,5),(4,7),(8,10)]=>0
[(1,10),(2,6),(3,5),(4,7),(8,9)]=>0
[(1,10),(2,5),(3,6),(4,7),(8,9)]=>1
[(1,9),(2,5),(3,6),(4,7),(8,10)]=>1
[(1,8),(2,5),(3,6),(4,7),(9,10)]=>1
[(1,7),(2,5),(3,6),(4,8),(9,10)]=>1
[(1,6),(2,5),(3,7),(4,8),(9,10)]=>2
[(1,5),(2,6),(3,7),(4,8),(9,10)]=>4
[(1,4),(2,6),(3,7),(5,8),(9,10)]=>2
[(1,3),(2,6),(4,7),(5,8),(9,10)]=>1
[(1,2),(3,6),(4,7),(5,8),(9,10)]=>1
[(1,2),(3,5),(4,7),(6,8),(9,10)]=>0
[(1,3),(2,5),(4,7),(6,8),(9,10)]=>0
[(1,4),(2,5),(3,7),(6,8),(9,10)]=>1
[(1,5),(2,4),(3,7),(6,8),(9,10)]=>0
[(1,6),(2,4),(3,7),(5,8),(9,10)]=>1
[(1,7),(2,4),(3,6),(5,8),(9,10)]=>0
[(1,8),(2,4),(3,6),(5,7),(9,10)]=>0
[(1,9),(2,4),(3,6),(5,7),(8,10)]=>0
[(1,10),(2,4),(3,6),(5,7),(8,9)]=>0
[(1,10),(2,3),(4,6),(5,7),(8,9)]=>0
[(1,9),(2,3),(4,6),(5,7),(8,10)]=>0
[(1,8),(2,3),(4,6),(5,7),(9,10)]=>0
[(1,7),(2,3),(4,6),(5,8),(9,10)]=>0
[(1,6),(2,3),(4,7),(5,8),(9,10)]=>1
[(1,5),(2,3),(4,7),(6,8),(9,10)]=>0
[(1,4),(2,3),(5,7),(6,8),(9,10)]=>0
[(1,3),(2,4),(5,7),(6,8),(9,10)]=>0
[(1,2),(3,4),(5,7),(6,8),(9,10)]=>0
[(1,2),(3,4),(5,8),(6,7),(9,10)]=>0
[(1,3),(2,4),(5,8),(6,7),(9,10)]=>0
[(1,4),(2,3),(5,8),(6,7),(9,10)]=>0
[(1,5),(2,3),(4,8),(6,7),(9,10)]=>0
[(1,6),(2,3),(4,8),(5,7),(9,10)]=>1
[(1,7),(2,3),(4,8),(5,6),(9,10)]=>2
[(1,8),(2,3),(4,7),(5,6),(9,10)]=>0
[(1,9),(2,3),(4,7),(5,6),(8,10)]=>0
[(1,10),(2,3),(4,7),(5,6),(8,9)]=>0
[(1,10),(2,4),(3,7),(5,6),(8,9)]=>0
[(1,9),(2,4),(3,7),(5,6),(8,10)]=>0
[(1,8),(2,4),(3,7),(5,6),(9,10)]=>0
[(1,7),(2,4),(3,8),(5,6),(9,10)]=>2
[(1,6),(2,4),(3,8),(5,7),(9,10)]=>1
[(1,5),(2,4),(3,8),(6,7),(9,10)]=>0
[(1,4),(2,5),(3,8),(6,7),(9,10)]=>1
[(1,3),(2,5),(4,8),(6,7),(9,10)]=>0
[(1,2),(3,5),(4,8),(6,7),(9,10)]=>0
[(1,2),(3,6),(4,8),(5,7),(9,10)]=>1
[(1,3),(2,6),(4,8),(5,7),(9,10)]=>1
[(1,4),(2,6),(3,8),(5,7),(9,10)]=>2
[(1,5),(2,6),(3,8),(4,7),(9,10)]=>4
[(1,6),(2,5),(3,8),(4,7),(9,10)]=>2
[(1,7),(2,5),(3,8),(4,6),(9,10)]=>3
[(1,8),(2,5),(3,7),(4,6),(9,10)]=>1
[(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)]=>2
[(1,9),(2,6),(3,7),(4,5),(8,10)]=>2
[(1,8),(2,6),(3,7),(4,5),(9,10)]=>2
[(1,7),(2,6),(3,8),(4,5),(9,10)]=>4
[(1,6),(2,7),(3,8),(4,5),(9,10)]=>7
[(1,5),(2,7),(3,8),(4,6),(9,10)]=>5
[(1,4),(2,7),(3,8),(5,6),(9,10)]=>3
[(1,3),(2,7),(4,8),(5,6),(9,10)]=>2
[(1,2),(3,7),(4,8),(5,6),(9,10)]=>2
[(1,2),(3,8),(4,7),(5,6),(9,10)]=>0
[(1,3),(2,8),(4,7),(5,6),(9,10)]=>0
[(1,4),(2,8),(3,7),(5,6),(9,10)]=>1
[(1,5),(2,8),(3,7),(4,6),(9,10)]=>3
[(1,6),(2,8),(3,7),(4,5),(9,10)]=>5
[(1,7),(2,8),(3,6),(4,5),(9,10)]=>4
[(1,8),(2,7),(3,6),(4,5),(9,10)]=>0
[(1,9),(2,7),(3,6),(4,5),(8,10)]=>0
[(1,10),(2,7),(3,6),(4,5),(8,9)]=>0
[(1,10),(2,8),(3,6),(4,5),(7,9)]=>0
[(1,9),(2,8),(3,6),(4,5),(7,10)]=>0
[(1,8),(2,9),(3,6),(4,5),(7,10)]=>5
[(1,7),(2,9),(3,6),(4,5),(8,10)]=>4
[(1,6),(2,9),(3,7),(4,5),(8,10)]=>5
[(1,5),(2,9),(3,7),(4,6),(8,10)]=>3
[(1,4),(2,9),(3,7),(5,6),(8,10)]=>1
[(1,3),(2,9),(4,7),(5,6),(8,10)]=>0
[(1,2),(3,9),(4,7),(5,6),(8,10)]=>0
[(1,2),(3,10),(4,7),(5,6),(8,9)]=>0
[(1,3),(2,10),(4,7),(5,6),(8,9)]=>0
[(1,4),(2,10),(3,7),(5,6),(8,9)]=>1
[(1,5),(2,10),(3,7),(4,6),(8,9)]=>3
[(1,6),(2,10),(3,7),(4,5),(8,9)]=>5
[(1,7),(2,10),(3,6),(4,5),(8,9)]=>4
[(1,8),(2,10),(3,6),(4,5),(7,9)]=>5
[(1,9),(2,10),(3,6),(4,5),(7,8)]=>6
[(1,10),(2,9),(3,6),(4,5),(7,8)]=>0
[(1,10),(2,9),(3,7),(4,5),(6,8)]=>0
[(1,9),(2,10),(3,7),(4,5),(6,8)]=>6
[(1,8),(2,10),(3,7),(4,5),(6,9)]=>5
[(1,7),(2,10),(3,8),(4,5),(6,9)]=>7
[(1,6),(2,10),(3,8),(4,5),(7,9)]=>5
[(1,5),(2,10),(3,8),(4,6),(7,9)]=>3
[(1,4),(2,10),(3,8),(5,6),(7,9)]=>1
[(1,3),(2,10),(4,8),(5,6),(7,9)]=>0
[(1,2),(3,10),(4,8),(5,6),(7,9)]=>0
[(1,2),(3,9),(4,8),(5,6),(7,10)]=>0
[(1,3),(2,9),(4,8),(5,6),(7,10)]=>0
[(1,4),(2,9),(3,8),(5,6),(7,10)]=>1
[(1,5),(2,9),(3,8),(4,6),(7,10)]=>3
[(1,6),(2,9),(3,8),(4,5),(7,10)]=>5
[(1,7),(2,9),(3,8),(4,5),(6,10)]=>7
[(1,8),(2,9),(3,7),(4,5),(6,10)]=>5
[(1,9),(2,8),(3,7),(4,5),(6,10)]=>0
[(1,10),(2,8),(3,7),(4,5),(6,9)]=>0
[(1,10),(2,7),(3,8),(4,5),(6,9)]=>3
[(1,9),(2,7),(3,8),(4,5),(6,10)]=>3
[(1,8),(2,7),(3,9),(4,5),(6,10)]=>6
[(1,7),(2,8),(3,9),(4,5),(6,10)]=>10
[(1,6),(2,8),(3,9),(4,5),(7,10)]=>8
[(1,5),(2,8),(3,9),(4,6),(7,10)]=>6
[(1,4),(2,8),(3,9),(5,6),(7,10)]=>4
[(1,3),(2,8),(4,9),(5,6),(7,10)]=>3
[(1,2),(3,8),(4,9),(5,6),(7,10)]=>3
[(1,2),(3,7),(4,9),(5,6),(8,10)]=>2
[(1,3),(2,7),(4,9),(5,6),(8,10)]=>2
[(1,4),(2,7),(3,9),(5,6),(8,10)]=>3
[(1,5),(2,7),(3,9),(4,6),(8,10)]=>5
[(1,6),(2,7),(3,9),(4,5),(8,10)]=>7
[(1,7),(2,6),(3,9),(4,5),(8,10)]=>4
[(1,8),(2,6),(3,9),(4,5),(7,10)]=>5
[(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)]=>1
[(1,9),(2,5),(3,8),(4,6),(7,10)]=>1
[(1,8),(2,5),(3,9),(4,6),(7,10)]=>4
[(1,7),(2,5),(3,9),(4,6),(8,10)]=>3
[(1,6),(2,5),(3,9),(4,7),(8,10)]=>2
[(1,5),(2,6),(3,9),(4,7),(8,10)]=>4
[(1,4),(2,6),(3,9),(5,7),(8,10)]=>2
[(1,3),(2,6),(4,9),(5,7),(8,10)]=>1
[(1,2),(3,6),(4,9),(5,7),(8,10)]=>1
[(1,2),(3,5),(4,9),(6,7),(8,10)]=>0
[(1,3),(2,5),(4,9),(6,7),(8,10)]=>0
[(1,4),(2,5),(3,9),(6,7),(8,10)]=>1
[(1,5),(2,4),(3,9),(6,7),(8,10)]=>0
[(1,6),(2,4),(3,9),(5,7),(8,10)]=>1
[(1,7),(2,4),(3,9),(5,6),(8,10)]=>2
[(1,8),(2,4),(3,9),(5,6),(7,10)]=>3
[(1,9),(2,4),(3,8),(5,6),(7,10)]=>0
[(1,10),(2,4),(3,8),(5,6),(7,9)]=>0
[(1,10),(2,3),(4,8),(5,6),(7,9)]=>0
[(1,9),(2,3),(4,8),(5,6),(7,10)]=>0
[(1,8),(2,3),(4,9),(5,6),(7,10)]=>3
[(1,7),(2,3),(4,9),(5,6),(8,10)]=>2
[(1,6),(2,3),(4,9),(5,7),(8,10)]=>1
[(1,5),(2,3),(4,9),(6,7),(8,10)]=>0
[(1,4),(2,3),(5,9),(6,7),(8,10)]=>0
[(1,3),(2,4),(5,9),(6,7),(8,10)]=>0
[(1,2),(3,4),(5,9),(6,7),(8,10)]=>0
[(1,2),(3,4),(5,10),(6,7),(8,9)]=>0
[(1,3),(2,4),(5,10),(6,7),(8,9)]=>0
[(1,4),(2,3),(5,10),(6,7),(8,9)]=>0
[(1,5),(2,3),(4,10),(6,7),(8,9)]=>0
[(1,6),(2,3),(4,10),(5,7),(8,9)]=>1
[(1,7),(2,3),(4,10),(5,6),(8,9)]=>2
[(1,8),(2,3),(4,10),(5,6),(7,9)]=>3
[(1,9),(2,3),(4,10),(5,6),(7,8)]=>4
[(1,10),(2,3),(4,9),(5,6),(7,8)]=>0
[(1,10),(2,4),(3,9),(5,6),(7,8)]=>0
[(1,9),(2,4),(3,10),(5,6),(7,8)]=>4
[(1,8),(2,4),(3,10),(5,6),(7,9)]=>3
[(1,7),(2,4),(3,10),(5,6),(8,9)]=>2
[(1,6),(2,4),(3,10),(5,7),(8,9)]=>1
[(1,5),(2,4),(3,10),(6,7),(8,9)]=>0
[(1,4),(2,5),(3,10),(6,7),(8,9)]=>1
[(1,3),(2,5),(4,10),(6,7),(8,9)]=>0
[(1,2),(3,5),(4,10),(6,7),(8,9)]=>0
[(1,2),(3,6),(4,10),(5,7),(8,9)]=>1
[(1,3),(2,6),(4,10),(5,7),(8,9)]=>1
[(1,4),(2,6),(3,10),(5,7),(8,9)]=>2
[(1,5),(2,6),(3,10),(4,7),(8,9)]=>4
[(1,6),(2,5),(3,10),(4,7),(8,9)]=>2
[(1,7),(2,5),(3,10),(4,6),(8,9)]=>3
[(1,8),(2,5),(3,10),(4,6),(7,9)]=>4
[(1,9),(2,5),(3,10),(4,6),(7,8)]=>5
[(1,10),(2,5),(3,9),(4,6),(7,8)]=>1
[(1,10),(2,6),(3,9),(4,5),(7,8)]=>2
[(1,9),(2,6),(3,10),(4,5),(7,8)]=>6
[(1,8),(2,6),(3,10),(4,5),(7,9)]=>5
[(1,7),(2,6),(3,10),(4,5),(8,9)]=>4
[(1,6),(2,7),(3,10),(4,5),(8,9)]=>7
[(1,5),(2,7),(3,10),(4,6),(8,9)]=>5
[(1,4),(2,7),(3,10),(5,6),(8,9)]=>3
[(1,3),(2,7),(4,10),(5,6),(8,9)]=>2
[(1,2),(3,7),(4,10),(5,6),(8,9)]=>2
[(1,2),(3,8),(4,10),(5,6),(7,9)]=>3
[(1,3),(2,8),(4,10),(5,6),(7,9)]=>3
[(1,4),(2,8),(3,10),(5,6),(7,9)]=>4
[(1,5),(2,8),(3,10),(4,6),(7,9)]=>6
[(1,6),(2,8),(3,10),(4,5),(7,9)]=>8
[(1,7),(2,8),(3,10),(4,5),(6,9)]=>10
[(1,8),(2,7),(3,10),(4,5),(6,9)]=>6
[(1,9),(2,7),(3,10),(4,5),(6,8)]=>7
[(1,10),(2,7),(3,9),(4,5),(6,8)]=>3
[(1,10),(2,8),(3,9),(4,5),(6,7)]=>4
[(1,9),(2,8),(3,10),(4,5),(6,7)]=>8
[(1,8),(2,9),(3,10),(4,5),(6,7)]=>13
[(1,7),(2,9),(3,10),(4,5),(6,8)]=>11
[(1,6),(2,9),(3,10),(4,5),(7,8)]=>9
[(1,5),(2,9),(3,10),(4,6),(7,8)]=>7
[(1,4),(2,9),(3,10),(5,6),(7,8)]=>5
[(1,3),(2,9),(4,10),(5,6),(7,8)]=>4
[(1,2),(3,9),(4,10),(5,6),(7,8)]=>4
[(1,2),(3,10),(4,9),(5,6),(7,8)]=>0
[(1,3),(2,10),(4,9),(5,6),(7,8)]=>0
[(1,4),(2,10),(3,9),(5,6),(7,8)]=>1
[(1,5),(2,10),(3,9),(4,6),(7,8)]=>3
[(1,6),(2,10),(3,9),(4,5),(7,8)]=>5
[(1,7),(2,10),(3,9),(4,5),(6,8)]=>7
[(1,8),(2,10),(3,9),(4,5),(6,7)]=>9
[(1,9),(2,10),(3,8),(4,5),(6,7)]=>6
[(1,10),(2,9),(3,8),(4,5),(6,7)]=>0
[(1,10),(2,9),(3,8),(4,6),(5,7)]=>0
[(1,9),(2,10),(3,8),(4,6),(5,7)]=>6
[(1,8),(2,10),(3,9),(4,6),(5,7)]=>9
[(1,7),(2,10),(3,9),(4,6),(5,8)]=>7
[(1,6),(2,10),(3,9),(4,7),(5,8)]=>6
[(1,5),(2,10),(3,9),(4,7),(6,8)]=>3
[(1,4),(2,10),(3,9),(5,7),(6,8)]=>1
[(1,3),(2,10),(4,9),(5,7),(6,8)]=>0
[(1,2),(3,10),(4,9),(5,7),(6,8)]=>0
[(1,2),(3,9),(4,10),(5,7),(6,8)]=>4
[(1,3),(2,9),(4,10),(5,7),(6,8)]=>4
[(1,4),(2,9),(3,10),(5,7),(6,8)]=>5
[(1,5),(2,9),(3,10),(4,7),(6,8)]=>7
[(1,6),(2,9),(3,10),(4,7),(5,8)]=>10
[(1,7),(2,9),(3,10),(4,6),(5,8)]=>11
[(1,8),(2,9),(3,10),(4,6),(5,7)]=>13
[(1,9),(2,8),(3,10),(4,6),(5,7)]=>8
[(1,10),(2,8),(3,9),(4,6),(5,7)]=>4
[(1,10),(2,7),(3,9),(4,6),(5,8)]=>3
[(1,9),(2,7),(3,10),(4,6),(5,8)]=>7
[(1,8),(2,7),(3,10),(4,6),(5,9)]=>6
[(1,7),(2,8),(3,10),(4,6),(5,9)]=>10
[(1,6),(2,8),(3,10),(4,7),(5,9)]=>9
[(1,5),(2,8),(3,10),(4,7),(6,9)]=>6
[(1,4),(2,8),(3,10),(5,7),(6,9)]=>4
[(1,3),(2,8),(4,10),(5,7),(6,9)]=>3
[(1,2),(3,8),(4,10),(5,7),(6,9)]=>3
[(1,2),(3,7),(4,10),(5,8),(6,9)]=>3
[(1,3),(2,7),(4,10),(5,8),(6,9)]=>3
[(1,4),(2,7),(3,10),(5,8),(6,9)]=>4
[(1,5),(2,7),(3,10),(4,8),(6,9)]=>6
[(1,6),(2,7),(3,10),(4,8),(5,9)]=>9
[(1,7),(2,6),(3,10),(4,8),(5,9)]=>6
[(1,8),(2,6),(3,10),(4,7),(5,9)]=>6
[(1,9),(2,6),(3,10),(4,7),(5,8)]=>7
[(1,10),(2,6),(3,9),(4,7),(5,8)]=>3
[(1,10),(2,5),(3,9),(4,7),(6,8)]=>1
[(1,9),(2,5),(3,10),(4,7),(6,8)]=>5
[(1,8),(2,5),(3,10),(4,7),(6,9)]=>4
[(1,7),(2,5),(3,10),(4,8),(6,9)]=>4
[(1,6),(2,5),(3,10),(4,8),(7,9)]=>2
[(1,5),(2,6),(3,10),(4,8),(7,9)]=>4
[(1,4),(2,6),(3,10),(5,8),(7,9)]=>2
[(1,3),(2,6),(4,10),(5,8),(7,9)]=>1
[(1,2),(3,6),(4,10),(5,8),(7,9)]=>1
[(1,2),(3,5),(4,10),(6,8),(7,9)]=>0
[(1,3),(2,5),(4,10),(6,8),(7,9)]=>0
[(1,4),(2,5),(3,10),(6,8),(7,9)]=>1
[(1,5),(2,4),(3,10),(6,8),(7,9)]=>0
[(1,6),(2,4),(3,10),(5,8),(7,9)]=>1
[(1,7),(2,4),(3,10),(5,8),(6,9)]=>3
[(1,8),(2,4),(3,10),(5,7),(6,9)]=>3
[(1,9),(2,4),(3,10),(5,7),(6,8)]=>4
[(1,10),(2,4),(3,9),(5,7),(6,8)]=>0
[(1,10),(2,3),(4,9),(5,7),(6,8)]=>0
[(1,9),(2,3),(4,10),(5,7),(6,8)]=>4
[(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)]=>1
[(1,5),(2,3),(4,10),(6,8),(7,9)]=>0
[(1,4),(2,3),(5,10),(6,8),(7,9)]=>0
[(1,3),(2,4),(5,10),(6,8),(7,9)]=>0
[(1,2),(3,4),(5,10),(6,8),(7,9)]=>0
[(1,2),(3,4),(5,9),(6,8),(7,10)]=>0
[(1,3),(2,4),(5,9),(6,8),(7,10)]=>0
[(1,4),(2,3),(5,9),(6,8),(7,10)]=>0
[(1,5),(2,3),(4,9),(6,8),(7,10)]=>0
[(1,6),(2,3),(4,9),(5,8),(7,10)]=>1
[(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)]=>0
[(1,10),(2,3),(4,8),(5,7),(6,9)]=>0
[(1,10),(2,4),(3,8),(5,7),(6,9)]=>0
[(1,9),(2,4),(3,8),(5,7),(6,10)]=>0
[(1,8),(2,4),(3,9),(5,7),(6,10)]=>3
[(1,7),(2,4),(3,9),(5,8),(6,10)]=>3
[(1,6),(2,4),(3,9),(5,8),(7,10)]=>1
[(1,5),(2,4),(3,9),(6,8),(7,10)]=>0
[(1,4),(2,5),(3,9),(6,8),(7,10)]=>1
[(1,3),(2,5),(4,9),(6,8),(7,10)]=>0
[(1,2),(3,5),(4,9),(6,8),(7,10)]=>0
[(1,2),(3,6),(4,9),(5,8),(7,10)]=>1
[(1,3),(2,6),(4,9),(5,8),(7,10)]=>1
[(1,4),(2,6),(3,9),(5,8),(7,10)]=>2
[(1,5),(2,6),(3,9),(4,8),(7,10)]=>4
[(1,6),(2,5),(3,9),(4,8),(7,10)]=>2
[(1,7),(2,5),(3,9),(4,8),(6,10)]=>4
[(1,8),(2,5),(3,9),(4,7),(6,10)]=>4
[(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)]=>3
[(1,9),(2,6),(3,8),(4,7),(5,10)]=>3
[(1,8),(2,6),(3,9),(4,7),(5,10)]=>6
[(1,7),(2,6),(3,9),(4,8),(5,10)]=>6
[(1,6),(2,7),(3,9),(4,8),(5,10)]=>9
[(1,5),(2,7),(3,9),(4,8),(6,10)]=>6
[(1,4),(2,7),(3,9),(5,8),(6,10)]=>4
[(1,3),(2,7),(4,9),(5,8),(6,10)]=>3
[(1,2),(3,7),(4,9),(5,8),(6,10)]=>3
[(1,2),(3,8),(4,9),(5,7),(6,10)]=>3
[(1,3),(2,8),(4,9),(5,7),(6,10)]=>3
[(1,4),(2,8),(3,9),(5,7),(6,10)]=>4
[(1,5),(2,8),(3,9),(4,7),(6,10)]=>6
[(1,6),(2,8),(3,9),(4,7),(5,10)]=>9
[(1,7),(2,8),(3,9),(4,6),(5,10)]=>10
[(1,8),(2,7),(3,9),(4,6),(5,10)]=>6
[(1,9),(2,7),(3,8),(4,6),(5,10)]=>3
[(1,10),(2,7),(3,8),(4,6),(5,9)]=>3
[(1,10),(2,8),(3,7),(4,6),(5,9)]=>0
[(1,9),(2,8),(3,7),(4,6),(5,10)]=>0
[(1,8),(2,9),(3,7),(4,6),(5,10)]=>5
[(1,7),(2,9),(3,8),(4,6),(5,10)]=>7
[(1,6),(2,9),(3,8),(4,7),(5,10)]=>6
[(1,5),(2,9),(3,8),(4,7),(6,10)]=>3
[(1,4),(2,9),(3,8),(5,7),(6,10)]=>1
[(1,3),(2,9),(4,8),(5,7),(6,10)]=>0
[(1,2),(3,9),(4,8),(5,7),(6,10)]=>0
[(1,2),(3,10),(4,8),(5,7),(6,9)]=>0
[(1,3),(2,10),(4,8),(5,7),(6,9)]=>0
[(1,4),(2,10),(3,8),(5,7),(6,9)]=>1
[(1,5),(2,10),(3,8),(4,7),(6,9)]=>3
[(1,6),(2,10),(3,8),(4,7),(5,9)]=>6
[(1,7),(2,10),(3,8),(4,6),(5,9)]=>7
[(1,8),(2,10),(3,7),(4,6),(5,9)]=>5
[(1,9),(2,10),(3,7),(4,6),(5,8)]=>6
[(1,10),(2,9),(3,7),(4,6),(5,8)]=>0
[(1,10),(2,9),(3,6),(4,7),(5,8)]=>1
[(1,9),(2,10),(3,6),(4,7),(5,8)]=>7
[(1,8),(2,10),(3,6),(4,7),(5,9)]=>6
[(1,7),(2,10),(3,6),(4,8),(5,9)]=>6
[(1,6),(2,10),(3,7),(4,8),(5,9)]=>7
[(1,5),(2,10),(3,7),(4,8),(6,9)]=>4
[(1,4),(2,10),(3,7),(5,8),(6,9)]=>2
[(1,3),(2,10),(4,7),(5,8),(6,9)]=>1
[(1,2),(3,10),(4,7),(5,8),(6,9)]=>1
[(1,2),(3,9),(4,7),(5,8),(6,10)]=>1
[(1,3),(2,9),(4,7),(5,8),(6,10)]=>1
[(1,4),(2,9),(3,7),(5,8),(6,10)]=>2
[(1,5),(2,9),(3,7),(4,8),(6,10)]=>4
[(1,6),(2,9),(3,7),(4,8),(5,10)]=>7
[(1,7),(2,9),(3,6),(4,8),(5,10)]=>6
[(1,8),(2,9),(3,6),(4,7),(5,10)]=>6
[(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)]=>2
[(1,9),(2,7),(3,6),(4,8),(5,10)]=>2
[(1,8),(2,7),(3,6),(4,9),(5,10)]=>3
[(1,7),(2,8),(3,6),(4,9),(5,10)]=>7
[(1,6),(2,8),(3,7),(4,9),(5,10)]=>8
[(1,5),(2,8),(3,7),(4,9),(6,10)]=>5
[(1,4),(2,8),(3,7),(5,9),(6,10)]=>3
[(1,3),(2,8),(4,7),(5,9),(6,10)]=>2
[(1,2),(3,8),(4,7),(5,9),(6,10)]=>2
[(1,2),(3,7),(4,8),(5,9),(6,10)]=>4
[(1,3),(2,7),(4,8),(5,9),(6,10)]=>4
[(1,4),(2,7),(3,8),(5,9),(6,10)]=>5
[(1,5),(2,7),(3,8),(4,9),(6,10)]=>7
[(1,6),(2,7),(3,8),(4,9),(5,10)]=>10
[(1,7),(2,6),(3,8),(4,9),(5,10)]=>7
[(1,8),(2,6),(3,7),(4,9),(5,10)]=>5
[(1,9),(2,6),(3,7),(4,8),(5,10)]=>4
[(1,10),(2,6),(3,7),(4,8),(5,9)]=>4
[(1,10),(2,5),(3,7),(4,8),(6,9)]=>2
[(1,9),(2,5),(3,7),(4,8),(6,10)]=>2
[(1,8),(2,5),(3,7),(4,9),(6,10)]=>3
[(1,7),(2,5),(3,8),(4,9),(6,10)]=>5
[(1,6),(2,5),(3,8),(4,9),(7,10)]=>3
[(1,5),(2,6),(3,8),(4,9),(7,10)]=>5
[(1,4),(2,6),(3,8),(5,9),(7,10)]=>3
[(1,3),(2,6),(4,8),(5,9),(7,10)]=>2
[(1,2),(3,6),(4,8),(5,9),(7,10)]=>2
[(1,2),(3,5),(4,8),(6,9),(7,10)]=>1
[(1,3),(2,5),(4,8),(6,9),(7,10)]=>1
[(1,4),(2,5),(3,8),(6,9),(7,10)]=>2
[(1,5),(2,4),(3,8),(6,9),(7,10)]=>1
[(1,6),(2,4),(3,8),(5,9),(7,10)]=>2
[(1,7),(2,4),(3,8),(5,9),(6,10)]=>4
[(1,8),(2,4),(3,7),(5,9),(6,10)]=>2
[(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)]=>2
[(1,7),(2,3),(4,8),(5,9),(6,10)]=>4
[(1,6),(2,3),(4,8),(5,9),(7,10)]=>2
[(1,5),(2,3),(4,8),(6,9),(7,10)]=>1
[(1,4),(2,3),(5,8),(6,9),(7,10)]=>1
[(1,3),(2,4),(5,8),(6,9),(7,10)]=>1
[(1,2),(3,4),(5,8),(6,9),(7,10)]=>1
[(1,2),(3,4),(5,7),(6,9),(8,10)]=>0
[(1,3),(2,4),(5,7),(6,9),(8,10)]=>0
[(1,4),(2,3),(5,7),(6,9),(8,10)]=>0
[(1,5),(2,3),(4,7),(6,9),(8,10)]=>0
[(1,6),(2,3),(4,7),(5,9),(8,10)]=>1
[(1,7),(2,3),(4,6),(5,9),(8,10)]=>0
[(1,8),(2,3),(4,6),(5,9),(7,10)]=>1
[(1,9),(2,3),(4,6),(5,8),(7,10)]=>0
[(1,10),(2,3),(4,6),(5,8),(7,9)]=>0
[(1,10),(2,4),(3,6),(5,8),(7,9)]=>0
[(1,9),(2,4),(3,6),(5,8),(7,10)]=>0
[(1,8),(2,4),(3,6),(5,9),(7,10)]=>1
[(1,7),(2,4),(3,6),(5,9),(8,10)]=>0
[(1,6),(2,4),(3,7),(5,9),(8,10)]=>1
[(1,5),(2,4),(3,7),(6,9),(8,10)]=>0
[(1,4),(2,5),(3,7),(6,9),(8,10)]=>1
[(1,3),(2,5),(4,7),(6,9),(8,10)]=>0
[(1,2),(3,5),(4,7),(6,9),(8,10)]=>0
[(1,2),(3,6),(4,7),(5,9),(8,10)]=>1
[(1,3),(2,6),(4,7),(5,9),(8,10)]=>1
[(1,4),(2,6),(3,7),(5,9),(8,10)]=>2
[(1,5),(2,6),(3,7),(4,9),(8,10)]=>4
[(1,6),(2,5),(3,7),(4,9),(8,10)]=>2
[(1,7),(2,5),(3,6),(4,9),(8,10)]=>1
[(1,8),(2,5),(3,6),(4,9),(7,10)]=>2
[(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)]=>0
[(1,9),(2,6),(3,5),(4,8),(7,10)]=>0
[(1,8),(2,6),(3,5),(4,9),(7,10)]=>1
[(1,7),(2,6),(3,5),(4,9),(8,10)]=>0
[(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)]=>1
[(1,3),(2,7),(4,6),(5,9),(8,10)]=>0
[(1,2),(3,7),(4,6),(5,9),(8,10)]=>0
[(1,2),(3,8),(4,6),(5,9),(7,10)]=>1
[(1,3),(2,8),(4,6),(5,9),(7,10)]=>1
[(1,4),(2,8),(3,6),(5,9),(7,10)]=>2
[(1,5),(2,8),(3,6),(4,9),(7,10)]=>4
[(1,6),(2,8),(3,5),(4,9),(7,10)]=>4
[(1,7),(2,8),(3,5),(4,9),(6,10)]=>6
[(1,8),(2,7),(3,5),(4,9),(6,10)]=>2
[(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)]=>0
[(1,9),(2,8),(3,5),(4,7),(6,10)]=>0
[(1,8),(2,9),(3,5),(4,7),(6,10)]=>5
[(1,7),(2,9),(3,5),(4,8),(6,10)]=>5
[(1,6),(2,9),(3,5),(4,8),(7,10)]=>3
[(1,5),(2,9),(3,6),(4,8),(7,10)]=>3
[(1,4),(2,9),(3,6),(5,8),(7,10)]=>1
[(1,3),(2,9),(4,6),(5,8),(7,10)]=>0
[(1,2),(3,9),(4,6),(5,8),(7,10)]=>0
[(1,2),(3,10),(4,6),(5,8),(7,9)]=>0
[(1,3),(2,10),(4,6),(5,8),(7,9)]=>0
[(1,4),(2,10),(3,6),(5,8),(7,9)]=>1
[(1,5),(2,10),(3,6),(4,8),(7,9)]=>3
[(1,6),(2,10),(3,5),(4,8),(7,9)]=>3
[(1,7),(2,10),(3,5),(4,8),(6,9)]=>5
[(1,8),(2,10),(3,5),(4,7),(6,9)]=>5
[(1,9),(2,10),(3,5),(4,7),(6,8)]=>6
[(1,10),(2,9),(3,5),(4,7),(6,8)]=>0
[(1,10),(2,9),(3,4),(5,7),(6,8)]=>0
[(1,9),(2,10),(3,4),(5,7),(6,8)]=>6
[(1,8),(2,10),(3,4),(5,7),(6,9)]=>5
[(1,7),(2,10),(3,4),(5,8),(6,9)]=>5
[(1,6),(2,10),(3,4),(5,8),(7,9)]=>3
[(1,5),(2,10),(3,4),(6,8),(7,9)]=>2
[(1,4),(2,10),(3,5),(6,8),(7,9)]=>1
[(1,3),(2,10),(4,5),(6,8),(7,9)]=>0
[(1,2),(3,10),(4,5),(6,8),(7,9)]=>0
[(1,2),(3,9),(4,5),(6,8),(7,10)]=>0
[(1,3),(2,9),(4,5),(6,8),(7,10)]=>0
[(1,4),(2,9),(3,5),(6,8),(7,10)]=>1
[(1,5),(2,9),(3,4),(6,8),(7,10)]=>2
[(1,6),(2,9),(3,4),(5,8),(7,10)]=>3
[(1,7),(2,9),(3,4),(5,8),(6,10)]=>5
[(1,8),(2,9),(3,4),(5,7),(6,10)]=>5
[(1,9),(2,8),(3,4),(5,7),(6,10)]=>0
[(1,10),(2,8),(3,4),(5,7),(6,9)]=>0
[(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)]=>2
[(1,7),(2,8),(3,4),(5,9),(6,10)]=>6
[(1,6),(2,8),(3,4),(5,9),(7,10)]=>4
[(1,5),(2,8),(3,4),(6,9),(7,10)]=>3
[(1,4),(2,8),(3,5),(6,9),(7,10)]=>2
[(1,3),(2,8),(4,5),(6,9),(7,10)]=>1
[(1,2),(3,8),(4,5),(6,9),(7,10)]=>1
[(1,2),(3,7),(4,5),(6,9),(8,10)]=>0
[(1,3),(2,7),(4,5),(6,9),(8,10)]=>0
[(1,4),(2,7),(3,5),(6,9),(8,10)]=>1
[(1,5),(2,7),(3,4),(6,9),(8,10)]=>2
[(1,6),(2,7),(3,4),(5,9),(8,10)]=>3
[(1,7),(2,6),(3,4),(5,9),(8,10)]=>0
[(1,8),(2,6),(3,4),(5,9),(7,10)]=>1
[(1,9),(2,6),(3,4),(5,8),(7,10)]=>0
[(1,10),(2,6),(3,4),(5,8),(7,9)]=>0
[(1,10),(2,5),(3,4),(6,8),(7,9)]=>0
[(1,9),(2,5),(3,4),(6,8),(7,10)]=>0
[(1,8),(2,5),(3,4),(6,9),(7,10)]=>1
[(1,7),(2,5),(3,4),(6,9),(8,10)]=>0
[(1,6),(2,5),(3,4),(7,9),(8,10)]=>0
[(1,5),(2,6),(3,4),(7,9),(8,10)]=>2
[(1,4),(2,6),(3,5),(7,9),(8,10)]=>1
[(1,3),(2,6),(4,5),(7,9),(8,10)]=>0
[(1,2),(3,6),(4,5),(7,9),(8,10)]=>0
[(1,2),(3,5),(4,6),(7,9),(8,10)]=>0
[(1,3),(2,5),(4,6),(7,9),(8,10)]=>0
[(1,4),(2,5),(3,6),(7,9),(8,10)]=>1
[(1,5),(2,4),(3,6),(7,9),(8,10)]=>0
[(1,6),(2,4),(3,5),(7,9),(8,10)]=>0
[(1,7),(2,4),(3,5),(6,9),(8,10)]=>0
[(1,8),(2,4),(3,5),(6,9),(7,10)]=>1
[(1,9),(2,4),(3,5),(6,8),(7,10)]=>0
[(1,10),(2,4),(3,5),(6,8),(7,9)]=>0
[(1,10),(2,3),(4,5),(6,8),(7,9)]=>0
[(1,9),(2,3),(4,5),(6,8),(7,10)]=>0
[(1,8),(2,3),(4,5),(6,9),(7,10)]=>1
[(1,7),(2,3),(4,5),(6,9),(8,10)]=>0
[(1,6),(2,3),(4,5),(7,9),(8,10)]=>0
[(1,5),(2,3),(4,6),(7,9),(8,10)]=>0
[(1,4),(2,3),(5,6),(7,9),(8,10)]=>0
[(1,3),(2,4),(5,6),(7,9),(8,10)]=>0
[(1,2),(3,4),(5,6),(7,9),(8,10)]=>0
[(1,2),(3,4),(5,6),(7,10),(8,9)]=>0
[(1,3),(2,4),(5,6),(7,10),(8,9)]=>0
[(1,4),(2,3),(5,6),(7,10),(8,9)]=>0
[(1,5),(2,3),(4,6),(7,10),(8,9)]=>0
[(1,6),(2,3),(4,5),(7,10),(8,9)]=>0
[(1,7),(2,3),(4,5),(6,10),(8,9)]=>0
[(1,8),(2,3),(4,5),(6,10),(7,9)]=>1
[(1,9),(2,3),(4,5),(6,10),(7,8)]=>2
[(1,10),(2,3),(4,5),(6,9),(7,8)]=>0
[(1,10),(2,4),(3,5),(6,9),(7,8)]=>0
[(1,9),(2,4),(3,5),(6,10),(7,8)]=>2
[(1,8),(2,4),(3,5),(6,10),(7,9)]=>1
[(1,7),(2,4),(3,5),(6,10),(8,9)]=>0
[(1,6),(2,4),(3,5),(7,10),(8,9)]=>0
[(1,5),(2,4),(3,6),(7,10),(8,9)]=>0
[(1,4),(2,5),(3,6),(7,10),(8,9)]=>1
[(1,3),(2,5),(4,6),(7,10),(8,9)]=>0
[(1,2),(3,5),(4,6),(7,10),(8,9)]=>0
[(1,2),(3,6),(4,5),(7,10),(8,9)]=>0
[(1,3),(2,6),(4,5),(7,10),(8,9)]=>0
[(1,4),(2,6),(3,5),(7,10),(8,9)]=>1
[(1,5),(2,6),(3,4),(7,10),(8,9)]=>2
[(1,6),(2,5),(3,4),(7,10),(8,9)]=>0
[(1,7),(2,5),(3,4),(6,10),(8,9)]=>0
[(1,8),(2,5),(3,4),(6,10),(7,9)]=>1
[(1,9),(2,5),(3,4),(6,10),(7,8)]=>2
[(1,10),(2,5),(3,4),(6,9),(7,8)]=>0
[(1,10),(2,6),(3,4),(5,9),(7,8)]=>0
[(1,9),(2,6),(3,4),(5,10),(7,8)]=>2
[(1,8),(2,6),(3,4),(5,10),(7,9)]=>1
[(1,7),(2,6),(3,4),(5,10),(8,9)]=>0
[(1,6),(2,7),(3,4),(5,10),(8,9)]=>3
[(1,5),(2,7),(3,4),(6,10),(8,9)]=>2
[(1,4),(2,7),(3,5),(6,10),(8,9)]=>1
[(1,3),(2,7),(4,5),(6,10),(8,9)]=>0
[(1,2),(3,7),(4,5),(6,10),(8,9)]=>0
[(1,2),(3,8),(4,5),(6,10),(7,9)]=>1
[(1,3),(2,8),(4,5),(6,10),(7,9)]=>1
[(1,4),(2,8),(3,5),(6,10),(7,9)]=>2
[(1,5),(2,8),(3,4),(6,10),(7,9)]=>3
[(1,6),(2,8),(3,4),(5,10),(7,9)]=>4
[(1,7),(2,8),(3,4),(5,10),(6,9)]=>6
[(1,8),(2,7),(3,4),(5,10),(6,9)]=>2
[(1,9),(2,7),(3,4),(5,10),(6,8)]=>3
[(1,10),(2,7),(3,4),(5,9),(6,8)]=>1
[(1,10),(2,8),(3,4),(5,9),(6,7)]=>2
[(1,9),(2,8),(3,4),(5,10),(6,7)]=>4
[(1,8),(2,9),(3,4),(5,10),(6,7)]=>9
[(1,7),(2,9),(3,4),(5,10),(6,8)]=>7
[(1,6),(2,9),(3,4),(5,10),(7,8)]=>5
[(1,5),(2,9),(3,4),(6,10),(7,8)]=>4
[(1,4),(2,9),(3,5),(6,10),(7,8)]=>3
[(1,3),(2,9),(4,5),(6,10),(7,8)]=>2
[(1,2),(3,9),(4,5),(6,10),(7,8)]=>2
[(1,2),(3,10),(4,5),(6,9),(7,8)]=>0
[(1,3),(2,10),(4,5),(6,9),(7,8)]=>0
[(1,4),(2,10),(3,5),(6,9),(7,8)]=>1
[(1,5),(2,10),(3,4),(6,9),(7,8)]=>2
[(1,6),(2,10),(3,4),(5,9),(7,8)]=>3
[(1,7),(2,10),(3,4),(5,9),(6,8)]=>5
[(1,8),(2,10),(3,4),(5,9),(6,7)]=>7
[(1,9),(2,10),(3,4),(5,8),(6,7)]=>6
[(1,10),(2,9),(3,4),(5,8),(6,7)]=>0
[(1,10),(2,9),(3,5),(4,8),(6,7)]=>0
[(1,9),(2,10),(3,5),(4,8),(6,7)]=>6
[(1,8),(2,10),(3,5),(4,9),(6,7)]=>7
[(1,7),(2,10),(3,5),(4,9),(6,8)]=>5
[(1,6),(2,10),(3,5),(4,9),(7,8)]=>3
[(1,5),(2,10),(3,6),(4,9),(7,8)]=>3
[(1,4),(2,10),(3,6),(5,9),(7,8)]=>1
[(1,3),(2,10),(4,6),(5,9),(7,8)]=>0
[(1,2),(3,10),(4,6),(5,9),(7,8)]=>0
[(1,2),(3,9),(4,6),(5,10),(7,8)]=>2
[(1,3),(2,9),(4,6),(5,10),(7,8)]=>2
[(1,4),(2,9),(3,6),(5,10),(7,8)]=>3
[(1,5),(2,9),(3,6),(4,10),(7,8)]=>5
[(1,6),(2,9),(3,5),(4,10),(7,8)]=>5
[(1,7),(2,9),(3,5),(4,10),(6,8)]=>7
[(1,8),(2,9),(3,5),(4,10),(6,7)]=>9
[(1,9),(2,8),(3,5),(4,10),(6,7)]=>4
[(1,10),(2,8),(3,5),(4,9),(6,7)]=>2
[(1,10),(2,7),(3,5),(4,9),(6,8)]=>1
[(1,9),(2,7),(3,5),(4,10),(6,8)]=>3
[(1,8),(2,7),(3,5),(4,10),(6,9)]=>2
[(1,7),(2,8),(3,5),(4,10),(6,9)]=>6
[(1,6),(2,8),(3,5),(4,10),(7,9)]=>4
[(1,5),(2,8),(3,6),(4,10),(7,9)]=>4
[(1,4),(2,8),(3,6),(5,10),(7,9)]=>2
[(1,3),(2,8),(4,6),(5,10),(7,9)]=>1
[(1,2),(3,8),(4,6),(5,10),(7,9)]=>1
[(1,2),(3,7),(4,6),(5,10),(8,9)]=>0
[(1,3),(2,7),(4,6),(5,10),(8,9)]=>0
[(1,4),(2,7),(3,6),(5,10),(8,9)]=>1
[(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)]=>0
[(1,8),(2,6),(3,5),(4,10),(7,9)]=>1
[(1,9),(2,6),(3,5),(4,10),(7,8)]=>2
[(1,10),(2,6),(3,5),(4,9),(7,8)]=>0
[(1,10),(2,5),(3,6),(4,9),(7,8)]=>1
[(1,9),(2,5),(3,6),(4,10),(7,8)]=>3
[(1,8),(2,5),(3,6),(4,10),(7,9)]=>2
[(1,7),(2,5),(3,6),(4,10),(8,9)]=>1
[(1,6),(2,5),(3,7),(4,10),(8,9)]=>2
[(1,5),(2,6),(3,7),(4,10),(8,9)]=>4
[(1,4),(2,6),(3,7),(5,10),(8,9)]=>2
[(1,3),(2,6),(4,7),(5,10),(8,9)]=>1
[(1,2),(3,6),(4,7),(5,10),(8,9)]=>1
[(1,2),(3,5),(4,7),(6,10),(8,9)]=>0
[(1,3),(2,5),(4,7),(6,10),(8,9)]=>0
[(1,4),(2,5),(3,7),(6,10),(8,9)]=>1
[(1,5),(2,4),(3,7),(6,10),(8,9)]=>0
[(1,6),(2,4),(3,7),(5,10),(8,9)]=>1
[(1,7),(2,4),(3,6),(5,10),(8,9)]=>0
[(1,8),(2,4),(3,6),(5,10),(7,9)]=>1
[(1,9),(2,4),(3,6),(5,10),(7,8)]=>2
[(1,10),(2,4),(3,6),(5,9),(7,8)]=>0
[(1,10),(2,3),(4,6),(5,9),(7,8)]=>0
[(1,9),(2,3),(4,6),(5,10),(7,8)]=>2
[(1,8),(2,3),(4,6),(5,10),(7,9)]=>1
[(1,7),(2,3),(4,6),(5,10),(8,9)]=>0
[(1,6),(2,3),(4,7),(5,10),(8,9)]=>1
[(1,5),(2,3),(4,7),(6,10),(8,9)]=>0
[(1,4),(2,3),(5,7),(6,10),(8,9)]=>0
[(1,3),(2,4),(5,7),(6,10),(8,9)]=>0
[(1,2),(3,4),(5,7),(6,10),(8,9)]=>0
[(1,2),(3,4),(5,8),(6,10),(7,9)]=>1
[(1,3),(2,4),(5,8),(6,10),(7,9)]=>1
[(1,4),(2,3),(5,8),(6,10),(7,9)]=>1
[(1,5),(2,3),(4,8),(6,10),(7,9)]=>1
[(1,6),(2,3),(4,8),(5,10),(7,9)]=>2
[(1,7),(2,3),(4,8),(5,10),(6,9)]=>4
[(1,8),(2,3),(4,7),(5,10),(6,9)]=>2
[(1,9),(2,3),(4,7),(5,10),(6,8)]=>3
[(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)]=>3
[(1,8),(2,4),(3,7),(5,10),(6,9)]=>2
[(1,7),(2,4),(3,8),(5,10),(6,9)]=>4
[(1,6),(2,4),(3,8),(5,10),(7,9)]=>2
[(1,5),(2,4),(3,8),(6,10),(7,9)]=>1
[(1,4),(2,5),(3,8),(6,10),(7,9)]=>2
[(1,3),(2,5),(4,8),(6,10),(7,9)]=>1
[(1,2),(3,5),(4,8),(6,10),(7,9)]=>1
[(1,2),(3,6),(4,8),(5,10),(7,9)]=>2
[(1,3),(2,6),(4,8),(5,10),(7,9)]=>2
[(1,4),(2,6),(3,8),(5,10),(7,9)]=>3
[(1,5),(2,6),(3,8),(4,10),(7,9)]=>5
[(1,6),(2,5),(3,8),(4,10),(7,9)]=>3
[(1,7),(2,5),(3,8),(4,10),(6,9)]=>5
[(1,8),(2,5),(3,7),(4,10),(6,9)]=>3
[(1,9),(2,5),(3,7),(4,10),(6,8)]=>4
[(1,10),(2,5),(3,7),(4,9),(6,8)]=>2
[(1,10),(2,6),(3,7),(4,9),(5,8)]=>4
[(1,9),(2,6),(3,7),(4,10),(5,8)]=>6
[(1,8),(2,6),(3,7),(4,10),(5,9)]=>5
[(1,7),(2,6),(3,8),(4,10),(5,9)]=>7
[(1,6),(2,7),(3,8),(4,10),(5,9)]=>10
[(1,5),(2,7),(3,8),(4,10),(6,9)]=>7
[(1,4),(2,7),(3,8),(5,10),(6,9)]=>5
[(1,3),(2,7),(4,8),(5,10),(6,9)]=>4
[(1,2),(3,7),(4,8),(5,10),(6,9)]=>4
[(1,2),(3,8),(4,7),(5,10),(6,9)]=>2
[(1,3),(2,8),(4,7),(5,10),(6,9)]=>2
[(1,4),(2,8),(3,7),(5,10),(6,9)]=>3
[(1,5),(2,8),(3,7),(4,10),(6,9)]=>5
[(1,6),(2,8),(3,7),(4,10),(5,9)]=>8
[(1,7),(2,8),(3,6),(4,10),(5,9)]=>7
[(1,8),(2,7),(3,6),(4,10),(5,9)]=>3
[(1,9),(2,7),(3,6),(4,10),(5,8)]=>4
[(1,10),(2,7),(3,6),(4,9),(5,8)]=>2
[(1,10),(2,8),(3,6),(4,9),(5,7)]=>3
[(1,9),(2,8),(3,6),(4,10),(5,7)]=>5
[(1,8),(2,9),(3,6),(4,10),(5,7)]=>10
[(1,7),(2,9),(3,6),(4,10),(5,8)]=>8
[(1,6),(2,9),(3,7),(4,10),(5,8)]=>9
[(1,5),(2,9),(3,7),(4,10),(6,8)]=>6
[(1,4),(2,9),(3,7),(5,10),(6,8)]=>4
[(1,3),(2,9),(4,7),(5,10),(6,8)]=>3
[(1,2),(3,9),(4,7),(5,10),(6,8)]=>3
[(1,2),(3,10),(4,7),(5,9),(6,8)]=>1
[(1,3),(2,10),(4,7),(5,9),(6,8)]=>1
[(1,4),(2,10),(3,7),(5,9),(6,8)]=>2
[(1,5),(2,10),(3,7),(4,9),(6,8)]=>4
[(1,6),(2,10),(3,7),(4,9),(5,8)]=>7
[(1,7),(2,10),(3,6),(4,9),(5,8)]=>6
[(1,8),(2,10),(3,6),(4,9),(5,7)]=>8
[(1,9),(2,10),(3,6),(4,8),(5,7)]=>7
[(1,10),(2,9),(3,6),(4,8),(5,7)]=>1
[(1,10),(2,9),(3,7),(4,8),(5,6)]=>2
[(1,9),(2,10),(3,7),(4,8),(5,6)]=>8
[(1,8),(2,10),(3,7),(4,9),(5,6)]=>9
[(1,7),(2,10),(3,8),(4,9),(5,6)]=>11
[(1,6),(2,10),(3,8),(4,9),(5,7)]=>8
[(1,5),(2,10),(3,8),(4,9),(6,7)]=>5
[(1,4),(2,10),(3,8),(5,9),(6,7)]=>3
[(1,3),(2,10),(4,8),(5,9),(6,7)]=>2
[(1,2),(3,10),(4,8),(5,9),(6,7)]=>2
[(1,2),(3,9),(4,8),(5,10),(6,7)]=>4
[(1,3),(2,9),(4,8),(5,10),(6,7)]=>4
[(1,4),(2,9),(3,8),(5,10),(6,7)]=>5
[(1,5),(2,9),(3,8),(4,10),(6,7)]=>7
[(1,6),(2,9),(3,8),(4,10),(5,7)]=>10
[(1,7),(2,9),(3,8),(4,10),(5,6)]=>13
[(1,8),(2,9),(3,7),(4,10),(5,6)]=>11
[(1,9),(2,8),(3,7),(4,10),(5,6)]=>6
[(1,10),(2,8),(3,7),(4,9),(5,6)]=>4
[(1,10),(2,7),(3,8),(4,9),(5,6)]=>7
[(1,9),(2,7),(3,8),(4,10),(5,6)]=>9
[(1,8),(2,7),(3,9),(4,10),(5,6)]=>12
[(1,7),(2,8),(3,9),(4,10),(5,6)]=>16
[(1,6),(2,8),(3,9),(4,10),(5,7)]=>13
[(1,5),(2,8),(3,9),(4,10),(6,7)]=>10
[(1,4),(2,8),(3,9),(5,10),(6,7)]=>8
[(1,3),(2,8),(4,9),(5,10),(6,7)]=>7
[(1,2),(3,8),(4,9),(5,10),(6,7)]=>7
[(1,2),(3,7),(4,9),(5,10),(6,8)]=>5
[(1,3),(2,7),(4,9),(5,10),(6,8)]=>5
[(1,4),(2,7),(3,9),(5,10),(6,8)]=>6
[(1,5),(2,7),(3,9),(4,10),(6,8)]=>8
[(1,6),(2,7),(3,9),(4,10),(5,8)]=>11
[(1,7),(2,6),(3,9),(4,10),(5,8)]=>8
[(1,8),(2,6),(3,9),(4,10),(5,7)]=>10
[(1,9),(2,6),(3,8),(4,10),(5,7)]=>7
[(1,10),(2,6),(3,8),(4,9),(5,7)]=>5
[(1,10),(2,5),(3,8),(4,9),(6,7)]=>3
[(1,9),(2,5),(3,8),(4,10),(6,7)]=>5
[(1,8),(2,5),(3,9),(4,10),(6,7)]=>8
[(1,7),(2,5),(3,9),(4,10),(6,8)]=>6
[(1,6),(2,5),(3,9),(4,10),(7,8)]=>4
[(1,5),(2,6),(3,9),(4,10),(7,8)]=>6
[(1,4),(2,6),(3,9),(5,10),(7,8)]=>4
[(1,3),(2,6),(4,9),(5,10),(7,8)]=>3
[(1,2),(3,6),(4,9),(5,10),(7,8)]=>3
[(1,2),(3,5),(4,9),(6,10),(7,8)]=>2
[(1,3),(2,5),(4,9),(6,10),(7,8)]=>2
[(1,4),(2,5),(3,9),(6,10),(7,8)]=>3
[(1,5),(2,4),(3,9),(6,10),(7,8)]=>2
[(1,6),(2,4),(3,9),(5,10),(7,8)]=>3
[(1,7),(2,4),(3,9),(5,10),(6,8)]=>5
[(1,8),(2,4),(3,9),(5,10),(6,7)]=>7
[(1,9),(2,4),(3,8),(5,10),(6,7)]=>4
[(1,10),(2,4),(3,8),(5,9),(6,7)]=>2
[(1,10),(2,3),(4,8),(5,9),(6,7)]=>2
[(1,9),(2,3),(4,8),(5,10),(6,7)]=>4
[(1,8),(2,3),(4,9),(5,10),(6,7)]=>7
[(1,7),(2,3),(4,9),(5,10),(6,8)]=>5
[(1,6),(2,3),(4,9),(5,10),(7,8)]=>3
[(1,5),(2,3),(4,9),(6,10),(7,8)]=>2
[(1,4),(2,3),(5,9),(6,10),(7,8)]=>2
[(1,3),(2,4),(5,9),(6,10),(7,8)]=>2
[(1,2),(3,4),(5,9),(6,10),(7,8)]=>2
[(1,2),(3,4),(5,10),(6,9),(7,8)]=>0
[(1,3),(2,4),(5,10),(6,9),(7,8)]=>0
[(1,4),(2,3),(5,10),(6,9),(7,8)]=>0
[(1,5),(2,3),(4,10),(6,9),(7,8)]=>0
[(1,6),(2,3),(4,10),(5,9),(7,8)]=>1
[(1,7),(2,3),(4,10),(5,9),(6,8)]=>3
[(1,8),(2,3),(4,10),(5,9),(6,7)]=>5
[(1,9),(2,3),(4,10),(5,8),(6,7)]=>4
[(1,10),(2,3),(4,9),(5,8),(6,7)]=>0
[(1,10),(2,4),(3,9),(5,8),(6,7)]=>0
[(1,9),(2,4),(3,10),(5,8),(6,7)]=>4
[(1,8),(2,4),(3,10),(5,9),(6,7)]=>5
[(1,7),(2,4),(3,10),(5,9),(6,8)]=>3
[(1,6),(2,4),(3,10),(5,9),(7,8)]=>1
[(1,5),(2,4),(3,10),(6,9),(7,8)]=>0
[(1,4),(2,5),(3,10),(6,9),(7,8)]=>1
[(1,3),(2,5),(4,10),(6,9),(7,8)]=>0
[(1,2),(3,5),(4,10),(6,9),(7,8)]=>0
[(1,2),(3,6),(4,10),(5,9),(7,8)]=>1
[(1,3),(2,6),(4,10),(5,9),(7,8)]=>1
[(1,4),(2,6),(3,10),(5,9),(7,8)]=>2
[(1,5),(2,6),(3,10),(4,9),(7,8)]=>4
[(1,6),(2,5),(3,10),(4,9),(7,8)]=>2
[(1,7),(2,5),(3,10),(4,9),(6,8)]=>4
[(1,8),(2,5),(3,10),(4,9),(6,7)]=>6
[(1,9),(2,5),(3,10),(4,8),(6,7)]=>5
[(1,10),(2,5),(3,9),(4,8),(6,7)]=>1
[(1,10),(2,6),(3,9),(4,8),(5,7)]=>3
[(1,9),(2,6),(3,10),(4,8),(5,7)]=>7
[(1,8),(2,6),(3,10),(4,9),(5,7)]=>8
[(1,7),(2,6),(3,10),(4,9),(5,8)]=>6
[(1,6),(2,7),(3,10),(4,9),(5,8)]=>9
[(1,5),(2,7),(3,10),(4,9),(6,8)]=>6
[(1,4),(2,7),(3,10),(5,9),(6,8)]=>4
[(1,3),(2,7),(4,10),(5,9),(6,8)]=>3
[(1,2),(3,7),(4,10),(5,9),(6,8)]=>3
[(1,2),(3,8),(4,10),(5,9),(6,7)]=>5
[(1,3),(2,8),(4,10),(5,9),(6,7)]=>5
[(1,4),(2,8),(3,10),(5,9),(6,7)]=>6
[(1,5),(2,8),(3,10),(4,9),(6,7)]=>8
[(1,6),(2,8),(3,10),(4,9),(5,7)]=>11
[(1,7),(2,8),(3,10),(4,9),(5,6)]=>14
[(1,8),(2,7),(3,10),(4,9),(5,6)]=>10
[(1,9),(2,7),(3,10),(4,8),(5,6)]=>9
[(1,10),(2,7),(3,9),(4,8),(5,6)]=>5
[(1,10),(2,8),(3,9),(4,7),(5,6)]=>4
[(1,9),(2,8),(3,10),(4,7),(5,6)]=>8
[(1,8),(2,9),(3,10),(4,7),(5,6)]=>13
[(1,7),(2,9),(3,10),(4,8),(5,6)]=>13
[(1,6),(2,9),(3,10),(4,8),(5,7)]=>10
[(1,5),(2,9),(3,10),(4,8),(6,7)]=>7
[(1,4),(2,9),(3,10),(5,8),(6,7)]=>5
[(1,3),(2,9),(4,10),(5,8),(6,7)]=>4
[(1,2),(3,9),(4,10),(5,8),(6,7)]=>4
[(1,2),(3,10),(4,9),(5,8),(6,7)]=>0
[(1,3),(2,10),(4,9),(5,8),(6,7)]=>0
[(1,4),(2,10),(3,9),(5,8),(6,7)]=>1
[(1,5),(2,10),(3,9),(4,8),(6,7)]=>3
[(1,6),(2,10),(3,9),(4,8),(5,7)]=>6
[(1,7),(2,10),(3,9),(4,8),(5,6)]=>9
[(1,8),(2,10),(3,9),(4,7),(5,6)]=>9
[(1,9),(2,10),(3,8),(4,7),(5,6)]=>6
[(1,10),(2,9),(3,8),(4,7),(5,6)]=>0
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Description
The number of occurrences of a 312 pattern in the restricted growth word of a perfect matching.
Code
def to_standard(s):
a = {e: i for i, e in enumerate(sorted(set(s)))}
return [a[e] for e in s]
def pattern_occurrences(w, pat):
pat = to_standard(pat)
return sum(1 for s in Subwords(w, len(pat))
if pat == to_standard(s))
def statistic(m):
return pattern_occurrences(m.to_restricted_growth_word(), [3,1,2])
Created
Sep 30, 2022 at 17:07 by Martin Rubey
Updated
Sep 30, 2022 at 17:07 by Martin Rubey
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