edit this statistic or download as text // json
Identifier
Values
=>
Cc0012;cc-rep
[(1,2)]=>0 [(1,2),(3,4)]=>0 [(1,3),(2,4)]=>0 [(1,4),(2,3)]=>1 [(1,2),(3,4),(5,6)]=>0 [(1,3),(2,4),(5,6)]=>0 [(1,4),(2,3),(5,6)]=>1 [(1,5),(2,3),(4,6)]=>1 [(1,6),(2,3),(4,5)]=>2 [(1,6),(2,4),(3,5)]=>2 [(1,5),(2,4),(3,6)]=>1 [(1,4),(2,5),(3,6)]=>0 [(1,3),(2,5),(4,6)]=>0 [(1,2),(3,5),(4,6)]=>0 [(1,2),(3,6),(4,5)]=>1 [(1,3),(2,6),(4,5)]=>1 [(1,4),(2,6),(3,5)]=>1 [(1,5),(2,6),(3,4)]=>2 [(1,6),(2,5),(3,4)]=>3 [(1,2),(3,4),(5,6),(7,8)]=>0 [(1,3),(2,4),(5,6),(7,8)]=>0 [(1,4),(2,3),(5,6),(7,8)]=>1 [(1,5),(2,3),(4,6),(7,8)]=>1 [(1,6),(2,3),(4,5),(7,8)]=>2 [(1,7),(2,3),(4,5),(6,8)]=>2 [(1,8),(2,3),(4,5),(6,7)]=>3 [(1,8),(2,4),(3,5),(6,7)]=>3 [(1,7),(2,4),(3,5),(6,8)]=>2 [(1,6),(2,4),(3,5),(7,8)]=>2 [(1,5),(2,4),(3,6),(7,8)]=>1 [(1,4),(2,5),(3,6),(7,8)]=>0 [(1,3),(2,5),(4,6),(7,8)]=>0 [(1,2),(3,5),(4,6),(7,8)]=>0 [(1,2),(3,6),(4,5),(7,8)]=>1 [(1,3),(2,6),(4,5),(7,8)]=>1 [(1,4),(2,6),(3,5),(7,8)]=>1 [(1,5),(2,6),(3,4),(7,8)]=>2 [(1,6),(2,5),(3,4),(7,8)]=>3 [(1,7),(2,5),(3,4),(6,8)]=>3 [(1,8),(2,5),(3,4),(6,7)]=>4 [(1,8),(2,6),(3,4),(5,7)]=>4 [(1,7),(2,6),(3,4),(5,8)]=>3 [(1,6),(2,7),(3,4),(5,8)]=>2 [(1,5),(2,7),(3,4),(6,8)]=>2 [(1,4),(2,7),(3,5),(6,8)]=>1 [(1,3),(2,7),(4,5),(6,8)]=>1 [(1,2),(3,7),(4,5),(6,8)]=>1 [(1,2),(3,8),(4,5),(6,7)]=>2 [(1,3),(2,8),(4,5),(6,7)]=>2 [(1,4),(2,8),(3,5),(6,7)]=>2 [(1,5),(2,8),(3,4),(6,7)]=>3 [(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)]=>5 [(1,8),(2,7),(3,5),(4,6)]=>5 [(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)]=>2 [(1,4),(2,8),(3,6),(5,7)]=>2 [(1,3),(2,8),(4,6),(5,7)]=>2 [(1,2),(3,8),(4,6),(5,7)]=>2 [(1,2),(3,7),(4,6),(5,8)]=>1 [(1,3),(2,7),(4,6),(5,8)]=>1 [(1,4),(2,7),(3,6),(5,8)]=>1 [(1,5),(2,7),(3,6),(4,8)]=>1 [(1,6),(2,7),(3,5),(4,8)]=>2 [(1,7),(2,6),(3,5),(4,8)]=>3 [(1,8),(2,6),(3,5),(4,7)]=>4 [(1,8),(2,5),(3,6),(4,7)]=>3 [(1,7),(2,5),(3,6),(4,8)]=>2 [(1,6),(2,5),(3,7),(4,8)]=>1 [(1,5),(2,6),(3,7),(4,8)]=>0 [(1,4),(2,6),(3,7),(5,8)]=>0 [(1,3),(2,6),(4,7),(5,8)]=>0 [(1,2),(3,6),(4,7),(5,8)]=>0 [(1,2),(3,5),(4,7),(6,8)]=>0 [(1,3),(2,5),(4,7),(6,8)]=>0 [(1,4),(2,5),(3,7),(6,8)]=>0 [(1,5),(2,4),(3,7),(6,8)]=>1 [(1,6),(2,4),(3,7),(5,8)]=>1 [(1,7),(2,4),(3,6),(5,8)]=>2 [(1,8),(2,4),(3,6),(5,7)]=>3 [(1,8),(2,3),(4,6),(5,7)]=>3 [(1,7),(2,3),(4,6),(5,8)]=>2 [(1,6),(2,3),(4,7),(5,8)]=>1 [(1,5),(2,3),(4,7),(6,8)]=>1 [(1,4),(2,3),(5,7),(6,8)]=>1 [(1,3),(2,4),(5,7),(6,8)]=>0 [(1,2),(3,4),(5,7),(6,8)]=>0 [(1,2),(3,4),(5,8),(6,7)]=>1 [(1,3),(2,4),(5,8),(6,7)]=>1 [(1,4),(2,3),(5,8),(6,7)]=>2 [(1,5),(2,3),(4,8),(6,7)]=>2 [(1,6),(2,3),(4,8),(5,7)]=>2 [(1,7),(2,3),(4,8),(5,6)]=>3 [(1,8),(2,3),(4,7),(5,6)]=>4 [(1,8),(2,4),(3,7),(5,6)]=>4 [(1,7),(2,4),(3,8),(5,6)]=>3 [(1,6),(2,4),(3,8),(5,7)]=>2 [(1,5),(2,4),(3,8),(6,7)]=>2 [(1,4),(2,5),(3,8),(6,7)]=>1 [(1,3),(2,5),(4,8),(6,7)]=>1 [(1,2),(3,5),(4,8),(6,7)]=>1 [(1,2),(3,6),(4,8),(5,7)]=>1 [(1,3),(2,6),(4,8),(5,7)]=>1 [(1,4),(2,6),(3,8),(5,7)]=>1 [(1,5),(2,6),(3,8),(4,7)]=>1 [(1,6),(2,5),(3,8),(4,7)]=>2 [(1,7),(2,5),(3,8),(4,6)]=>3 [(1,8),(2,5),(3,7),(4,6)]=>4 [(1,8),(2,6),(3,7),(4,5)]=>5 [(1,7),(2,6),(3,8),(4,5)]=>4 [(1,6),(2,7),(3,8),(4,5)]=>3 [(1,5),(2,7),(3,8),(4,6)]=>2 [(1,4),(2,7),(3,8),(5,6)]=>2 [(1,3),(2,7),(4,8),(5,6)]=>2 [(1,2),(3,7),(4,8),(5,6)]=>2 [(1,2),(3,8),(4,7),(5,6)]=>3 [(1,3),(2,8),(4,7),(5,6)]=>3 [(1,4),(2,8),(3,7),(5,6)]=>3 [(1,5),(2,8),(3,7),(4,6)]=>3 [(1,6),(2,8),(3,7),(4,5)]=>4 [(1,7),(2,8),(3,6),(4,5)]=>5 [(1,8),(2,7),(3,6),(4,5)]=>6 [(1,2),(3,4),(5,6),(7,8),(9,10)]=>0 [(1,3),(2,4),(5,6),(7,8),(9,10)]=>0 [(1,4),(2,3),(5,6),(7,8),(9,10)]=>1 [(1,6),(2,3),(4,5),(7,8),(9,10)]=>2 [(1,8),(2,3),(4,5),(6,7),(9,10)]=>3 [(1,10),(2,3),(4,5),(6,7),(8,9)]=>4 [(1,4),(2,5),(3,6),(7,8),(9,10)]=>0 [(1,3),(2,5),(4,6),(7,8),(9,10)]=>0 [(1,2),(3,5),(4,6),(7,8),(9,10)]=>0 [(1,2),(3,6),(4,5),(7,8),(9,10)]=>1 [(1,6),(2,5),(3,4),(7,8),(9,10)]=>3 [(1,8),(2,5),(3,4),(6,7),(9,10)]=>4 [(1,10),(2,5),(3,4),(6,7),(8,9)]=>5 [(1,2),(3,8),(4,5),(6,7),(9,10)]=>2 [(1,8),(2,7),(3,4),(5,6),(9,10)]=>5 [(1,10),(2,7),(3,4),(5,6),(8,9)]=>6 [(1,2),(3,10),(4,5),(6,7),(8,9)]=>3 [(1,10),(2,9),(3,4),(5,6),(7,8)]=>7 [(1,5),(2,6),(3,7),(4,8),(9,10)]=>0 [(1,4),(2,6),(3,7),(5,8),(9,10)]=>0 [(1,3),(2,6),(4,7),(5,8),(9,10)]=>0 [(1,2),(3,6),(4,7),(5,8),(9,10)]=>0 [(1,2),(3,5),(4,7),(6,8),(9,10)]=>0 [(1,3),(2,5),(4,7),(6,8),(9,10)]=>0 [(1,4),(2,5),(3,7),(6,8),(9,10)]=>0 [(1,3),(2,4),(5,7),(6,8),(9,10)]=>0 [(1,2),(3,4),(5,7),(6,8),(9,10)]=>0 [(1,2),(3,4),(5,8),(6,7),(9,10)]=>1 [(1,4),(2,3),(5,8),(6,7),(9,10)]=>2 [(1,8),(2,3),(4,7),(5,6),(9,10)]=>4 [(1,10),(2,3),(4,7),(5,6),(8,9)]=>5 [(1,2),(3,8),(4,7),(5,6),(9,10)]=>3 [(1,8),(2,7),(3,6),(4,5),(9,10)]=>6 [(1,10),(2,7),(3,6),(4,5),(8,9)]=>7 [(1,2),(3,10),(4,7),(5,6),(8,9)]=>4 [(1,10),(2,9),(3,6),(4,5),(7,8)]=>8 [(1,2),(3,4),(5,10),(6,7),(8,9)]=>2 [(1,4),(2,3),(5,10),(6,7),(8,9)]=>3 [(1,10),(2,3),(4,9),(5,6),(7,8)]=>6 [(1,2),(3,10),(4,9),(5,6),(7,8)]=>5 [(1,10),(2,9),(3,8),(4,5),(6,7)]=>9 [(1,2),(3,7),(4,8),(5,9),(6,10)]=>0 [(1,3),(2,7),(4,8),(5,9),(6,10)]=>0 [(1,4),(2,7),(3,8),(5,9),(6,10)]=>0 [(1,5),(2,7),(3,8),(4,9),(6,10)]=>0 [(1,6),(2,7),(3,8),(4,9),(5,10)]=>0 [(1,5),(2,6),(3,8),(4,9),(7,10)]=>0 [(1,4),(2,6),(3,8),(5,9),(7,10)]=>0 [(1,3),(2,6),(4,8),(5,9),(7,10)]=>0 [(1,2),(3,6),(4,8),(5,9),(7,10)]=>0 [(1,2),(3,5),(4,8),(6,9),(7,10)]=>0 [(1,3),(2,5),(4,8),(6,9),(7,10)]=>0 [(1,4),(2,5),(3,8),(6,9),(7,10)]=>0 [(1,3),(2,4),(5,8),(6,9),(7,10)]=>0 [(1,2),(3,4),(5,8),(6,9),(7,10)]=>0 [(1,2),(3,4),(5,7),(6,9),(8,10)]=>0 [(1,3),(2,4),(5,7),(6,9),(8,10)]=>0 [(1,4),(2,5),(3,7),(6,9),(8,10)]=>0 [(1,3),(2,5),(4,7),(6,9),(8,10)]=>0 [(1,2),(3,5),(4,7),(6,9),(8,10)]=>0 [(1,2),(3,6),(4,7),(5,9),(8,10)]=>0 [(1,3),(2,6),(4,7),(5,9),(8,10)]=>0 [(1,4),(2,6),(3,7),(5,9),(8,10)]=>0 [(1,5),(2,6),(3,7),(4,9),(8,10)]=>0 [(1,2),(3,5),(4,6),(7,9),(8,10)]=>0 [(1,3),(2,5),(4,6),(7,9),(8,10)]=>0 [(1,4),(2,5),(3,6),(7,9),(8,10)]=>0 [(1,3),(2,4),(5,6),(7,9),(8,10)]=>0 [(1,2),(3,4),(5,6),(7,9),(8,10)]=>0 [(1,2),(3,4),(5,6),(7,10),(8,9)]=>1 [(1,4),(2,3),(5,6),(7,10),(8,9)]=>2 [(1,6),(2,3),(4,5),(7,10),(8,9)]=>3 [(1,10),(2,3),(4,5),(6,9),(7,8)]=>5 [(1,2),(3,6),(4,5),(7,10),(8,9)]=>2 [(1,6),(2,5),(3,4),(7,10),(8,9)]=>4 [(1,10),(2,5),(3,4),(6,9),(7,8)]=>6 [(1,2),(3,10),(4,5),(6,9),(7,8)]=>4 [(1,10),(2,9),(3,4),(5,8),(6,7)]=>8 [(1,2),(3,4),(5,10),(6,9),(7,8)]=>3 [(1,4),(2,3),(5,10),(6,9),(7,8)]=>4 [(1,10),(2,3),(4,9),(5,8),(6,7)]=>7 [(1,2),(3,10),(4,9),(5,8),(6,7)]=>6 [(1,10),(2,9),(3,8),(4,7),(5,6)]=>10 [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)]=>15 [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>6 [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>8 [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>7 [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>7 [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>10 [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>1 [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>9 [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>8 [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>2 [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>9 [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>2 [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>8 [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>3 [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>12 [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>3 [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>5 [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>4 [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>4 [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>11 [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>2 [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>10 [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>9 [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>3 [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>6 [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>3 [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>5 [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>4 [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>11 [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>2 [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>6 [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>5 [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>3 [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>10 [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>3 [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>9 [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>4 [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>7 [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>4 [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>4 [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)]=>5 [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]=>5 [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>14 [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>5 [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>7 [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>6 [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>6 [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>9 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>0 [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>8 [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>7 [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>1 [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>8 [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>1 [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>7 [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>2 [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>13 [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>4 [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>6 [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>5 [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>5 [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>12 [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>3 [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>11 [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)]=>10 [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>4 [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>7 [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>4 [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>6 [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>5 [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>10 [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>1 [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>7 [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>6 [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>2 [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>9 [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>2 [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>8 [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>3 [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>8 [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>5 [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>3 [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)]=>6 [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>4 [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>13 [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>4 [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>6 [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>5 [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>5 [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>10 [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>1 [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>9 [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>8 [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>2 [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>7 [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>2 [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>6 [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>3 [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>12 [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>3 [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>7 [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>6 [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>4 [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>11 [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>4 [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)]=>10 [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]=>5 [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>8 [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>3 [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>5 [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)]=>4 [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)]=>6 [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>11 [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>2 [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>8 [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>7 [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>3 [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>8 [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>3 [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>7 [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]=>4 [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>9 [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>6 [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>4 [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)]=>7 [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)]=>5 [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)]=>9 [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)]=>4 [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)]=>6 [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)]=>5 [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)]=>7 [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)]=>6 [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]=>0 [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]=>0 [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]=>0 [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]=>0 [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]=>0 [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]=>0 [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]=>0 [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]=>0 [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]=>0 [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]=>0 [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]=>0 [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]=>0 [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]=>0 [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]=>0 [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]=>0 [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]=>0 [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]=>0 [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]=>0 [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]=>0 [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]=>0 [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]=>0 [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]=>0 [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]=>0 [(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]=>0 [(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]=>0 [(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]=>0 [(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]=>0 [(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]=>0 [(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]=>0 [(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]=>0 [(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]=>0 [(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]=>0 [(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]=>0 [(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]=>0 [(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]=>0 [(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]=>0 [(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)]=>0 [(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]=>0 [(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]=>0 [(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)]=>0 [(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)]=>0 [(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]=>0 [(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]=>0 [(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]=>0 [(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]=>0 [(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]=>0 [(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]=>0 [(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]=>0 [(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]=>0 [(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]=>0 [(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]=>0 [(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]=>0 [(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]=>0 [(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)]=>0 [(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)]=>0 [(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]=>0 [(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]=>0 [(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]=>0 [(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]=>0 [(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)]=>0 [(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]=>0 [(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]=>0 [(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]=>0 [(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]=>0 [(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]=>0 [(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]=>0 [(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]=>0 [(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]=>0 [(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]=>0 [(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]=>0 [(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]=>0 [(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]=>0 [(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]=>0 [(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]=>0 [(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]=>0 [(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]=>0 [(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]=>0 [(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]=>0 [(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]=>0 [(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]=>0 [(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]=>0 [(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]=>0 [(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)]=>0 [(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]=>0 [(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]=>0 [(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]=>0 [(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)]=>0 [(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)]=>0 [(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]=>0 [(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]=>0 [(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]=>0 [(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]=>0 [(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]=>0 [(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]=>0 [(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]=>0 [(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]=>0 [(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]=>0 [(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]=>0 [(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)]=>0 [(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]=>0 [(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]=>0 [(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]=>0 [(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]=>0 [(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]=>0 [(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]=>0 [(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]=>0 [(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]=>0 [(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]=>0 [(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]=>0 [(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]=>0 [(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]=>0 [(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)]=>0 [(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)]=>0 [(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]=>0 [(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]=>0 [(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]=>0 [(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]=>0 [(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]=>0 [(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]=>0 [(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]=>0 [(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)]=>0 [(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]=>0 [(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]=>0 [(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]=>0 [(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]=>0 [(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)]=>0 [(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)]=>0 [(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]=>0 [(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]=>0 [(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)]=>0 [(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)]=>0 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]=>0 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13)]=>1 [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11),(13,14)]=>1 [(1,2),(3,4),(5,6),(7,8),(9,14),(10,11),(12,13)]=>2 [(1,2),(3,4),(5,6),(7,8),(9,14),(10,13),(11,12)]=>3 [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12),(13,14)]=>1 [(1,2),(3,4),(5,6),(7,10),(8,9),(11,14),(12,13)]=>2 [(1,2),(3,4),(5,6),(7,14),(8,9),(10,11),(12,13)]=>3 [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10),(13,14)]=>3 [(1,2),(3,4),(5,6),(7,14),(8,11),(9,10),(12,13)]=>4 [(1,2),(3,4),(5,6),(7,14),(8,13),(9,10),(11,12)]=>5 [(1,2),(3,4),(5,6),(7,14),(8,13),(9,12),(10,11)]=>6 [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12),(13,14)]=>1 [(1,2),(3,4),(5,8),(6,7),(9,10),(11,14),(12,13)]=>2 [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11),(13,14)]=>2 [(1,2),(3,4),(5,8),(6,7),(9,14),(10,13),(11,12)]=>4 [(1,2),(3,4),(5,14),(6,7),(8,9),(10,11),(12,13)]=>4 [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12),(13,14)]=>3 [(1,2),(3,4),(5,10),(6,9),(7,8),(11,14),(12,13)]=>4 [(1,2),(3,4),(5,14),(6,9),(7,8),(10,11),(12,13)]=>5 [(1,2),(3,4),(5,14),(6,11),(7,8),(9,10),(12,13)]=>6 [(1,2),(3,4),(5,14),(6,13),(7,8),(9,10),(11,12)]=>7 [(1,2),(3,4),(5,14),(6,13),(7,8),(9,12),(10,11)]=>8 [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9),(13,14)]=>6 [(1,2),(3,4),(5,14),(6,11),(7,10),(8,9),(12,13)]=>7 [(1,2),(3,4),(5,14),(6,13),(7,12),(8,9),(10,11)]=>9 [(1,2),(3,4),(5,14),(6,13),(7,12),(8,11),(9,10)]=>10 [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12),(13,14)]=>1 [(1,2),(3,6),(4,5),(7,8),(9,10),(11,14),(12,13)]=>2 [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11),(13,14)]=>2 [(1,2),(3,6),(4,5),(7,8),(9,14),(10,13),(11,12)]=>4 [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12),(13,14)]=>2 [(1,2),(3,6),(4,5),(7,10),(8,9),(11,14),(12,13)]=>3 [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10),(13,14)]=>4 [(1,2),(3,6),(4,5),(7,14),(8,13),(9,12),(10,11)]=>7 [(1,2),(3,14),(4,5),(6,7),(8,9),(10,11),(12,13)]=>5 [(1,2),(3,14),(4,5),(6,13),(7,12),(8,11),(9,10)]=>11 [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12),(13,14)]=>3 [(1,2),(3,8),(4,7),(5,6),(9,10),(11,14),(12,13)]=>4 [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11),(13,14)]=>4 [(1,2),(3,8),(4,7),(5,6),(9,14),(10,13),(11,12)]=>6 [(1,2),(3,14),(4,7),(5,6),(8,9),(10,11),(12,13)]=>6 [(1,2),(3,14),(4,9),(5,6),(7,8),(10,11),(12,13)]=>7 [(1,2),(3,14),(4,11),(5,6),(7,8),(9,10),(12,13)]=>8 [(1,2),(3,14),(4,11),(5,6),(7,10),(8,9),(12,13)]=>9 [(1,2),(3,14),(4,13),(5,6),(7,12),(8,9),(10,11)]=>11 [(1,2),(3,14),(4,13),(5,6),(7,12),(8,11),(9,10)]=>12 [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12),(13,14)]=>6 [(1,2),(3,10),(4,9),(5,8),(6,7),(11,14),(12,13)]=>7 [(1,2),(3,14),(4,9),(5,8),(6,7),(10,11),(12,13)]=>8 [(1,2),(3,14),(4,13),(5,8),(6,7),(9,12),(10,11)]=>11 [(1,2),(3,14),(4,11),(5,10),(6,7),(8,9),(12,13)]=>10 [(1,2),(3,14),(4,13),(5,10),(6,7),(8,9),(11,12)]=>11 [(1,2),(3,14),(4,13),(5,12),(6,7),(8,9),(10,11)]=>12 [(1,2),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10)]=>13 [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8),(13,14)]=>10 [(1,2),(3,14),(4,11),(5,10),(6,9),(7,8),(12,13)]=>11 [(1,2),(3,14),(4,13),(5,10),(6,9),(7,8),(11,12)]=>12 [(1,2),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11)]=>13 [(1,2),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10)]=>14 [(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9)]=>15 [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14)]=>1 [(1,4),(2,3),(5,6),(7,8),(9,10),(11,14),(12,13)]=>2 [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11),(13,14)]=>2 [(1,4),(2,3),(5,6),(7,8),(9,14),(10,13),(11,12)]=>4 [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12),(13,14)]=>2 [(1,4),(2,3),(5,6),(7,10),(8,9),(11,14),(12,13)]=>3 [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10),(13,14)]=>4 [(1,4),(2,3),(5,6),(7,14),(8,13),(9,12),(10,11)]=>7 [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12),(13,14)]=>2 [(1,4),(2,3),(5,8),(6,7),(9,10),(11,14),(12,13)]=>3 [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11),(13,14)]=>3 [(1,4),(2,3),(5,8),(6,7),(9,14),(10,13),(11,12)]=>5 [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12),(13,14)]=>4 [(1,4),(2,3),(5,10),(6,9),(7,8),(11,14),(12,13)]=>5 [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9),(13,14)]=>7 [(1,4),(2,3),(5,14),(6,13),(7,12),(8,11),(9,10)]=>11 [(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)]=>6 [(1,14),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12)]=>7 [(1,14),(2,3),(4,5),(6,7),(8,11),(9,10),(12,13)]=>7 [(1,14),(2,3),(4,5),(6,7),(8,13),(9,10),(11,12)]=>8 [(1,14),(2,3),(4,5),(6,7),(8,13),(9,12),(10,11)]=>9 [(1,14),(2,3),(4,5),(6,9),(7,8),(10,11),(12,13)]=>7 [(1,14),(2,3),(4,5),(6,9),(7,8),(10,13),(11,12)]=>8 [(1,14),(2,3),(4,5),(6,11),(7,8),(9,10),(12,13)]=>8 [(1,14),(2,3),(4,5),(6,13),(7,8),(9,10),(11,12)]=>9 [(1,14),(2,3),(4,5),(6,13),(7,8),(9,12),(10,11)]=>10 [(1,14),(2,3),(4,5),(6,11),(7,10),(8,9),(12,13)]=>9 [(1,14),(2,3),(4,5),(6,13),(7,10),(8,9),(11,12)]=>10 [(1,14),(2,3),(4,5),(6,13),(7,12),(8,9),(10,11)]=>11 [(1,14),(2,3),(4,5),(6,13),(7,12),(8,11),(9,10)]=>12 [(1,14),(2,3),(4,7),(5,6),(8,9),(10,11),(12,13)]=>7 [(1,14),(2,3),(4,7),(5,6),(8,9),(10,13),(11,12)]=>8 [(1,14),(2,3),(4,7),(5,6),(8,11),(9,10),(12,13)]=>8 [(1,14),(2,3),(4,7),(5,6),(8,13),(9,10),(11,12)]=>9 [(1,14),(2,3),(4,7),(5,6),(8,13),(9,12),(10,11)]=>10 [(1,14),(2,3),(4,9),(5,6),(7,8),(10,11),(12,13)]=>8 [(1,14),(2,3),(4,9),(5,6),(7,8),(10,13),(11,12)]=>9 [(1,14),(2,3),(4,11),(5,6),(7,8),(9,10),(12,13)]=>9 [(1,14),(2,3),(4,13),(5,6),(7,8),(9,10),(11,12)]=>10 [(1,14),(2,3),(4,13),(5,6),(7,8),(9,12),(10,11)]=>11 [(1,14),(2,3),(4,11),(5,6),(7,10),(8,9),(12,13)]=>10 [(1,14),(2,3),(4,13),(5,6),(7,10),(8,9),(11,12)]=>11 [(1,14),(2,3),(4,13),(5,6),(7,12),(8,9),(10,11)]=>12 [(1,14),(2,3),(4,13),(5,6),(7,12),(8,11),(9,10)]=>13 [(1,14),(2,3),(4,9),(5,8),(6,7),(10,11),(12,13)]=>9 [(1,14),(2,3),(4,9),(5,8),(6,7),(10,13),(11,12)]=>10 [(1,14),(2,3),(4,11),(5,8),(6,7),(9,10),(12,13)]=>10 [(1,14),(2,3),(4,13),(5,8),(6,7),(9,10),(11,12)]=>11 [(1,14),(2,3),(4,13),(5,8),(6,7),(9,12),(10,11)]=>12 [(1,14),(2,3),(4,11),(5,10),(6,7),(8,9),(12,13)]=>11 [(1,14),(2,3),(4,13),(5,10),(6,7),(8,9),(11,12)]=>12 [(1,14),(2,3),(4,13),(5,12),(6,7),(8,9),(10,11)]=>13 [(1,14),(2,3),(4,13),(5,12),(6,7),(8,11),(9,10)]=>14 [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8),(13,14)]=>11 [(1,14),(2,3),(4,11),(5,10),(6,9),(7,8),(12,13)]=>12 [(1,14),(2,3),(4,13),(5,10),(6,9),(7,8),(11,12)]=>13 [(1,14),(2,3),(4,13),(5,12),(6,9),(7,8),(10,11)]=>14 [(1,14),(2,3),(4,13),(5,12),(6,11),(7,8),(9,10)]=>15 [(1,14),(2,3),(4,13),(5,12),(6,11),(7,10),(8,9)]=>16 [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,14)]=>3 [(1,6),(2,5),(3,4),(7,8),(9,10),(11,14),(12,13)]=>4 [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11),(13,14)]=>4 [(1,6),(2,5),(3,4),(7,8),(9,14),(10,13),(11,12)]=>6 [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12),(13,14)]=>4 [(1,6),(2,5),(3,4),(7,10),(8,9),(11,14),(12,13)]=>5 [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10),(13,14)]=>6 [(1,6),(2,5),(3,4),(7,14),(8,13),(9,12),(10,11)]=>9 [(1,14),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13)]=>7 [(1,14),(2,5),(3,4),(6,7),(8,9),(10,13),(11,12)]=>8 [(1,14),(2,5),(3,4),(6,7),(8,11),(9,10),(12,13)]=>8 [(1,14),(2,5),(3,4),(6,7),(8,13),(9,10),(11,12)]=>9 [(1,14),(2,5),(3,4),(6,7),(8,13),(9,12),(10,11)]=>10 [(1,14),(2,5),(3,4),(6,9),(7,8),(10,11),(12,13)]=>8 [(1,14),(2,5),(3,4),(6,9),(7,8),(10,13),(11,12)]=>9 [(1,14),(2,5),(3,4),(6,11),(7,8),(9,10),(12,13)]=>9 [(1,14),(2,5),(3,4),(6,13),(7,8),(9,10),(11,12)]=>10 [(1,14),(2,5),(3,4),(6,13),(7,8),(9,12),(10,11)]=>11 [(1,14),(2,5),(3,4),(6,11),(7,10),(8,9),(12,13)]=>10 [(1,14),(2,5),(3,4),(6,13),(7,10),(8,9),(11,12)]=>11 [(1,14),(2,5),(3,4),(6,13),(7,12),(8,9),(10,11)]=>12 [(1,14),(2,5),(3,4),(6,13),(7,12),(8,11),(9,10)]=>13 [(1,14),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13)]=>8 [(1,14),(2,7),(3,4),(5,6),(8,9),(10,13),(11,12)]=>9 [(1,14),(2,7),(3,4),(5,6),(8,11),(9,10),(12,13)]=>9 [(1,14),(2,7),(3,4),(5,6),(8,13),(9,10),(11,12)]=>10 [(1,14),(2,7),(3,4),(5,6),(8,13),(9,12),(10,11)]=>11 [(1,14),(2,9),(3,4),(5,6),(7,8),(10,11),(12,13)]=>9 [(1,14),(2,9),(3,4),(5,6),(7,8),(10,13),(11,12)]=>10 [(1,14),(2,11),(3,4),(5,6),(7,8),(9,10),(12,13)]=>10 [(1,14),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12)]=>11 [(1,14),(2,13),(3,4),(5,6),(7,8),(9,12),(10,11)]=>12 [(1,14),(2,11),(3,4),(5,6),(7,10),(8,9),(12,13)]=>11 [(1,14),(2,13),(3,4),(5,6),(7,10),(8,9),(11,12)]=>12 [(1,14),(2,13),(3,4),(5,6),(7,12),(8,9),(10,11)]=>13 [(1,14),(2,13),(3,4),(5,6),(7,12),(8,11),(9,10)]=>14 [(1,14),(2,9),(3,4),(5,8),(6,7),(10,11),(12,13)]=>10 [(1,14),(2,9),(3,4),(5,8),(6,7),(10,13),(11,12)]=>11 [(1,14),(2,11),(3,4),(5,8),(6,7),(9,10),(12,13)]=>11 [(1,14),(2,13),(3,4),(5,8),(6,7),(9,10),(11,12)]=>12 [(1,14),(2,13),(3,4),(5,8),(6,7),(9,12),(10,11)]=>13 [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9),(13,14)]=>11 [(1,14),(2,11),(3,4),(5,10),(6,7),(8,9),(12,13)]=>12 [(1,14),(2,13),(3,4),(5,10),(6,7),(8,9),(11,12)]=>13 [(1,14),(2,13),(3,4),(5,12),(6,7),(8,9),(10,11)]=>14 [(1,14),(2,13),(3,4),(5,12),(6,7),(8,11),(9,10)]=>15 [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8),(13,14)]=>12 [(1,14),(2,11),(3,4),(5,10),(6,9),(7,8),(12,13)]=>13 [(1,14),(2,13),(3,4),(5,10),(6,9),(7,8),(11,12)]=>14 [(1,14),(2,13),(3,4),(5,12),(6,9),(7,8),(10,11)]=>15 [(1,14),(2,13),(3,4),(5,12),(6,11),(7,8),(9,10)]=>16 [(1,14),(2,13),(3,4),(5,12),(6,11),(7,10),(8,9)]=>17 [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12),(13,14)]=>6 [(1,8),(2,7),(3,6),(4,5),(9,10),(11,14),(12,13)]=>7 [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11),(13,14)]=>7 [(1,8),(2,7),(3,6),(4,5),(9,14),(10,13),(11,12)]=>9 [(1,14),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13)]=>9 [(1,14),(2,7),(3,6),(4,5),(8,9),(10,13),(11,12)]=>10 [(1,14),(2,7),(3,6),(4,5),(8,11),(9,10),(12,13)]=>10 [(1,14),(2,7),(3,6),(4,5),(8,13),(9,10),(11,12)]=>11 [(1,14),(2,7),(3,6),(4,5),(8,13),(9,12),(10,11)]=>12 [(1,14),(2,9),(3,6),(4,5),(7,8),(10,11),(12,13)]=>10 [(1,14),(2,9),(3,6),(4,5),(7,8),(10,13),(11,12)]=>11 [(1,14),(2,11),(3,6),(4,5),(7,8),(9,10),(12,13)]=>11 [(1,14),(2,13),(3,6),(4,5),(7,8),(9,10),(11,12)]=>12 [(1,14),(2,13),(3,6),(4,5),(7,8),(9,12),(10,11)]=>13 [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9),(13,14)]=>11 [(1,14),(2,11),(3,6),(4,5),(7,10),(8,9),(12,13)]=>12 [(1,14),(2,13),(3,6),(4,5),(7,10),(8,9),(11,12)]=>13 [(1,14),(2,13),(3,6),(4,5),(7,12),(8,9),(10,11)]=>14 [(1,14),(2,13),(3,6),(4,5),(7,12),(8,11),(9,10)]=>15 [(1,14),(2,9),(3,8),(4,5),(6,7),(10,11),(12,13)]=>11 [(1,14),(2,9),(3,8),(4,5),(6,7),(10,13),(11,12)]=>12 [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10),(13,14)]=>11 [(1,14),(2,11),(3,8),(4,5),(6,7),(9,10),(12,13)]=>12 [(1,14),(2,13),(3,8),(4,5),(6,7),(9,10),(11,12)]=>13 [(1,14),(2,13),(3,8),(4,5),(6,7),(9,12),(10,11)]=>14 [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9),(13,14)]=>12 [(1,14),(2,11),(3,10),(4,5),(6,7),(8,9),(12,13)]=>13 [(1,14),(2,13),(3,10),(4,5),(6,7),(8,9),(11,12)]=>14 [(1,14),(2,13),(3,12),(4,5),(6,7),(8,9),(10,11)]=>15 [(1,14),(2,13),(3,12),(4,5),(6,7),(8,11),(9,10)]=>16 [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8),(13,14)]=>13 [(1,14),(2,11),(3,10),(4,5),(6,9),(7,8),(12,13)]=>14 [(1,14),(2,13),(3,10),(4,5),(6,9),(7,8),(11,12)]=>15 [(1,14),(2,13),(3,12),(4,5),(6,9),(7,8),(10,11)]=>16 [(1,14),(2,13),(3,12),(4,5),(6,11),(7,8),(9,10)]=>17 [(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9)]=>18 [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12),(13,14)]=>10 [(1,10),(2,9),(3,8),(4,7),(5,6),(11,14),(12,13)]=>11 [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14)]=>11 [(1,14),(2,9),(3,8),(4,7),(5,6),(10,11),(12,13)]=>12 [(1,14),(2,9),(3,8),(4,7),(5,6),(10,13),(11,12)]=>13 [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10),(13,14)]=>12 [(1,14),(2,11),(3,8),(4,7),(5,6),(9,10),(12,13)]=>13 [(1,14),(2,13),(3,8),(4,7),(5,6),(9,10),(11,12)]=>14 [(1,14),(2,13),(3,8),(4,7),(5,6),(9,12),(10,11)]=>15 [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9),(13,14)]=>13 [(1,14),(2,11),(3,10),(4,7),(5,6),(8,9),(12,13)]=>14 [(1,14),(2,13),(3,10),(4,7),(5,6),(8,9),(11,12)]=>15 [(1,14),(2,13),(3,12),(4,7),(5,6),(8,9),(10,11)]=>16 [(1,14),(2,13),(3,12),(4,7),(5,6),(8,11),(9,10)]=>17 [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,14)]=>14 [(1,14),(2,11),(3,10),(4,9),(5,6),(7,8),(12,13)]=>15 [(1,14),(2,13),(3,10),(4,9),(5,6),(7,8),(11,12)]=>16 [(1,14),(2,13),(3,12),(4,9),(5,6),(7,8),(10,11)]=>17 [(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10)]=>18 [(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9)]=>19 [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14)]=>15 [(1,14),(2,11),(3,10),(4,9),(5,8),(6,7),(12,13)]=>16 [(1,14),(2,13),(3,10),(4,9),(5,8),(6,7),(11,12)]=>17 [(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11)]=>18 [(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10)]=>19 [(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9)]=>20 [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8)]=>21 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]=>0 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,16),(14,15)]=>1 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,13),(14,15)]=>2 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,15),(13,14)]=>3 [(1,2),(3,4),(5,6),(7,8),(9,16),(10,11),(12,13),(14,15)]=>3 [(1,2),(3,4),(5,6),(7,8),(9,16),(10,13),(11,12),(14,15)]=>4 [(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,12),(13,14)]=>5 [(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,14),(12,13)]=>6 [(1,2),(3,4),(5,6),(7,16),(8,9),(10,11),(12,13),(14,15)]=>4 [(1,2),(3,4),(5,6),(7,16),(8,11),(9,10),(12,13),(14,15)]=>5 [(1,2),(3,4),(5,6),(7,16),(8,13),(9,10),(11,12),(14,15)]=>6 [(1,2),(3,4),(5,6),(7,16),(8,13),(9,12),(10,11),(14,15)]=>7 [(1,2),(3,4),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)]=>5 [(1,2),(3,4),(5,16),(6,9),(7,8),(10,11),(12,13),(14,15)]=>6 [(1,2),(3,4),(5,16),(6,11),(7,8),(9,10),(12,13),(14,15)]=>7 [(1,2),(3,4),(5,16),(6,11),(7,10),(8,9),(12,13),(14,15)]=>8 [(1,2),(3,16),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)]=>6 [(1,2),(3,16),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15)]=>7 [(1,2),(3,16),(4,9),(5,6),(7,8),(10,11),(12,13),(14,15)]=>8 [(1,2),(3,16),(4,9),(5,8),(6,7),(10,11),(12,13),(14,15)]=>9 [(1,2),(3,16),(4,15),(5,14),(6,7),(8,13),(9,12),(10,11)]=>18 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)]=>18 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,12),(10,11)]=>19 [(1,2),(3,16),(4,15),(5,14),(6,11),(7,10),(8,9),(12,13)]=>18 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)]=>19 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)]=>20 [(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)]=>21 [(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)]=>7 [(1,16),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15)]=>8 [(1,16),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13),(14,15)]=>9 [(1,16),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13),(14,15)]=>10 [(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9),(15,16)]=>18 [(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10),(15,16)]=>18 [(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9),(15,16)]=>19 [(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11),(15,16)]=>18 [(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10),(15,16)]=>19 [(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9),(15,16)]=>20 [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,16)]=>21 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)]=>0 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,18),(16,17)]=>1 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,18),(14,15),(16,17)]=>2 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,13),(14,15),(16,17)]=>3 [(1,2),(3,4),(5,6),(7,8),(9,18),(10,11),(12,13),(14,15),(16,17)]=>4 [(1,2),(3,4),(5,6),(7,18),(8,9),(10,11),(12,13),(14,15),(16,17)]=>5 [(1,2),(3,4),(5,18),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]=>6 [(1,2),(3,18),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]=>7 [(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]=>8 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,18),(14,17),(15,16)]=>3 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,15),(13,14),(16,17)]=>4 [(1,2),(3,4),(5,6),(7,8),(9,18),(10,13),(11,12),(14,15),(16,17)]=>5 [(1,2),(3,4),(5,6),(7,18),(8,11),(9,10),(12,13),(14,15),(16,17)]=>6 [(1,2),(3,4),(5,18),(6,9),(7,8),(10,11),(12,13),(14,15),(16,17)]=>7 [(1,2),(3,18),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15),(16,17)]=>8 [(1,18),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]=>9 [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(17,18)]=>28 [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)]=>28 [(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(17,18)]=>27 [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)]=>27 [(1,16),(2,15),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11),(17,18)]=>26 [(1,16),(2,15),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10),(17,18)]=>26 [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)]=>26 [(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,9),(10,13),(11,12)]=>26 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)]=>0 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,20),(18,19)]=>1 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,20),(16,17),(18,19)]=>2 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,20),(14,15),(16,17),(18,19)]=>3 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,20),(12,13),(14,15),(16,17),(18,19)]=>4 [(1,2),(3,4),(5,6),(7,8),(9,20),(10,11),(12,13),(14,15),(16,17),(18,19)]=>5 [(1,2),(3,4),(5,6),(7,20),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]=>6 [(1,2),(3,4),(5,20),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]=>7 [(1,2),(3,20),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]=>8 [(1,20),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]=>9 [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(19,20)]=>36 [(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)]=>36 [(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11),(19,20)]=>35 [(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,11),(12,13)]=>35 [(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(21,22)]=>45 [(1,2),(3,22),(4,21),(5,20),(6,19),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)]=>45
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The number of nestings of a perfect matching.
This is the number of pairs of edges $((a,b), (c,d))$ such that $a\le c\le d\le b$. i.e., the edge $(c,d)$ is nested inside $(a,b)$.
References
[1] de Médicis, A., Viennot, X. G. Moments des $q$-polynômes de Laguerre et la bijection de Foata-Zeilberger MathSciNet:1288802
[2] Simion, R., Stanton, D. Octabasic Laguerre polynomials and permutation statistics MathSciNet:1418763
Code
def statistic(x):
    return len(x.nestings())
Created
Mar 01, 2013 at 02:34 by Alejandro Morales
Updated
Dec 19, 2022 at 16:41 by Martin Rubey