Identifier
Values
=>
Cc0005;cc-rep-0 Cc0012;cc-rep
[1,0]=>[(1,2)]=>0 [1,0,1,0]=>[(1,2),(3,4)]=>0 [1,1,0,0]=>[(1,4),(2,3)]=>1 [1,0,1,0,1,0]=>[(1,2),(3,4),(5,6)]=>0 [1,0,1,1,0,0]=>[(1,2),(3,6),(4,5)]=>1 [1,1,0,0,1,0]=>[(1,4),(2,3),(5,6)]=>1 [1,1,0,1,0,0]=>[(1,6),(2,3),(4,5)]=>2 [1,1,1,0,0,0]=>[(1,6),(2,5),(3,4)]=>3 [1,0,1,0,1,0,1,0]=>[(1,2),(3,4),(5,6),(7,8)]=>0 [1,0,1,0,1,1,0,0]=>[(1,2),(3,4),(5,8),(6,7)]=>1 [1,0,1,1,0,0,1,0]=>[(1,2),(3,6),(4,5),(7,8)]=>1 [1,0,1,1,0,1,0,0]=>[(1,2),(3,8),(4,5),(6,7)]=>2 [1,0,1,1,1,0,0,0]=>[(1,2),(3,8),(4,7),(5,6)]=>3 [1,1,0,0,1,0,1,0]=>[(1,4),(2,3),(5,6),(7,8)]=>1 [1,1,0,0,1,1,0,0]=>[(1,4),(2,3),(5,8),(6,7)]=>2 [1,1,0,1,0,0,1,0]=>[(1,6),(2,3),(4,5),(7,8)]=>2 [1,1,0,1,0,1,0,0]=>[(1,8),(2,3),(4,5),(6,7)]=>3 [1,1,0,1,1,0,0,0]=>[(1,8),(2,3),(4,7),(5,6)]=>4 [1,1,1,0,0,0,1,0]=>[(1,6),(2,5),(3,4),(7,8)]=>3 [1,1,1,0,0,1,0,0]=>[(1,8),(2,5),(3,4),(6,7)]=>4 [1,1,1,0,1,0,0,0]=>[(1,8),(2,7),(3,4),(5,6)]=>5 [1,1,1,1,0,0,0,0]=>[(1,8),(2,7),(3,6),(4,5)]=>6 [1,0,1,0,1,0,1,0,1,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10)]=>0 [1,0,1,0,1,0,1,1,0,0]=>[(1,2),(3,4),(5,6),(7,10),(8,9)]=>1 [1,0,1,0,1,1,0,0,1,0]=>[(1,2),(3,4),(5,8),(6,7),(9,10)]=>1 [1,0,1,0,1,1,0,1,0,0]=>[(1,2),(3,4),(5,10),(6,7),(8,9)]=>2 [1,0,1,0,1,1,1,0,0,0]=>[(1,2),(3,4),(5,10),(6,9),(7,8)]=>3 [1,0,1,1,0,0,1,0,1,0]=>[(1,2),(3,6),(4,5),(7,8),(9,10)]=>1 [1,0,1,1,0,0,1,1,0,0]=>[(1,2),(3,6),(4,5),(7,10),(8,9)]=>2 [1,0,1,1,0,1,0,0,1,0]=>[(1,2),(3,8),(4,5),(6,7),(9,10)]=>2 [1,0,1,1,0,1,0,1,0,0]=>[(1,2),(3,10),(4,5),(6,7),(8,9)]=>3 [1,0,1,1,0,1,1,0,0,0]=>[(1,2),(3,10),(4,5),(6,9),(7,8)]=>4 [1,0,1,1,1,0,0,0,1,0]=>[(1,2),(3,8),(4,7),(5,6),(9,10)]=>3 [1,0,1,1,1,0,0,1,0,0]=>[(1,2),(3,10),(4,7),(5,6),(8,9)]=>4 [1,0,1,1,1,0,1,0,0,0]=>[(1,2),(3,10),(4,9),(5,6),(7,8)]=>5 [1,0,1,1,1,1,0,0,0,0]=>[(1,2),(3,10),(4,9),(5,8),(6,7)]=>6 [1,1,0,0,1,0,1,0,1,0]=>[(1,4),(2,3),(5,6),(7,8),(9,10)]=>1 [1,1,0,0,1,0,1,1,0,0]=>[(1,4),(2,3),(5,6),(7,10),(8,9)]=>2 [1,1,0,0,1,1,0,0,1,0]=>[(1,4),(2,3),(5,8),(6,7),(9,10)]=>2 [1,1,0,0,1,1,0,1,0,0]=>[(1,4),(2,3),(5,10),(6,7),(8,9)]=>3 [1,1,0,0,1,1,1,0,0,0]=>[(1,4),(2,3),(5,10),(6,9),(7,8)]=>4 [1,1,0,1,0,0,1,0,1,0]=>[(1,6),(2,3),(4,5),(7,8),(9,10)]=>2 [1,1,0,1,0,0,1,1,0,0]=>[(1,6),(2,3),(4,5),(7,10),(8,9)]=>3 [1,1,0,1,0,1,0,0,1,0]=>[(1,8),(2,3),(4,5),(6,7),(9,10)]=>3 [1,1,0,1,0,1,0,1,0,0]=>[(1,10),(2,3),(4,5),(6,7),(8,9)]=>4 [1,1,0,1,0,1,1,0,0,0]=>[(1,10),(2,3),(4,5),(6,9),(7,8)]=>5 [1,1,0,1,1,0,0,0,1,0]=>[(1,8),(2,3),(4,7),(5,6),(9,10)]=>4 [1,1,0,1,1,0,0,1,0,0]=>[(1,10),(2,3),(4,7),(5,6),(8,9)]=>5 [1,1,0,1,1,0,1,0,0,0]=>[(1,10),(2,3),(4,9),(5,6),(7,8)]=>6 [1,1,0,1,1,1,0,0,0,0]=>[(1,10),(2,3),(4,9),(5,8),(6,7)]=>7 [1,1,1,0,0,0,1,0,1,0]=>[(1,6),(2,5),(3,4),(7,8),(9,10)]=>3 [1,1,1,0,0,0,1,1,0,0]=>[(1,6),(2,5),(3,4),(7,10),(8,9)]=>4 [1,1,1,0,0,1,0,0,1,0]=>[(1,8),(2,5),(3,4),(6,7),(9,10)]=>4 [1,1,1,0,0,1,0,1,0,0]=>[(1,10),(2,5),(3,4),(6,7),(8,9)]=>5 [1,1,1,0,0,1,1,0,0,0]=>[(1,10),(2,5),(3,4),(6,9),(7,8)]=>6 [1,1,1,0,1,0,0,0,1,0]=>[(1,8),(2,7),(3,4),(5,6),(9,10)]=>5 [1,1,1,0,1,0,0,1,0,0]=>[(1,10),(2,7),(3,4),(5,6),(8,9)]=>6 [1,1,1,0,1,0,1,0,0,0]=>[(1,10),(2,9),(3,4),(5,6),(7,8)]=>7 [1,1,1,0,1,1,0,0,0,0]=>[(1,10),(2,9),(3,4),(5,8),(6,7)]=>8 [1,1,1,1,0,0,0,0,1,0]=>[(1,8),(2,7),(3,6),(4,5),(9,10)]=>6 [1,1,1,1,0,0,0,1,0,0]=>[(1,10),(2,7),(3,6),(4,5),(8,9)]=>7 [1,1,1,1,0,0,1,0,0,0]=>[(1,10),(2,9),(3,6),(4,5),(7,8)]=>8 [1,1,1,1,0,1,0,0,0,0]=>[(1,10),(2,9),(3,8),(4,5),(6,7)]=>9 [1,1,1,1,1,0,0,0,0,0]=>[(1,10),(2,9),(3,8),(4,7),(5,6)]=>10 [1,0,1,0,1,0,1,0,1,0,1,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>0 [1,0,1,0,1,0,1,0,1,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>1 [1,0,1,0,1,0,1,1,0,0,1,0]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>1 [1,0,1,0,1,0,1,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>2 [1,0,1,0,1,0,1,1,1,0,0,0]=>[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>3 [1,0,1,0,1,1,0,0,1,0,1,0]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>1 [1,0,1,0,1,1,0,0,1,1,0,0]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>2 [1,0,1,0,1,1,0,1,0,0,1,0]=>[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>2 [1,0,1,0,1,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>3 [1,0,1,0,1,1,0,1,1,0,0,0]=>[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>4 [1,0,1,0,1,1,1,0,0,0,1,0]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>3 [1,0,1,0,1,1,1,0,0,1,0,0]=>[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>4 [1,0,1,0,1,1,1,0,1,0,0,0]=>[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>5 [1,0,1,0,1,1,1,1,0,0,0,0]=>[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>6 [1,0,1,1,0,0,1,0,1,0,1,0]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>1 [1,0,1,1,0,0,1,0,1,1,0,0]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>2 [1,0,1,1,0,0,1,1,0,0,1,0]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>2 [1,0,1,1,0,0,1,1,0,1,0,0]=>[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>3 [1,0,1,1,0,0,1,1,1,0,0,0]=>[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)]=>4 [1,0,1,1,0,1,0,0,1,0,1,0]=>[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>2 [1,0,1,1,0,1,0,0,1,1,0,0]=>[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>3 [1,0,1,1,0,1,0,1,0,0,1,0]=>[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>3 [1,0,1,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>4 [1,0,1,1,0,1,0,1,1,0,0,0]=>[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>5 [1,0,1,1,0,1,1,0,0,0,1,0]=>[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>4 [1,0,1,1,0,1,1,0,0,1,0,0]=>[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>5 [1,0,1,1,0,1,1,0,1,0,0,0]=>[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>6 [1,0,1,1,0,1,1,1,0,0,0,0]=>[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>7 [1,0,1,1,1,0,0,0,1,0,1,0]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>3 [1,0,1,1,1,0,0,0,1,1,0,0]=>[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>4 [1,0,1,1,1,0,0,1,0,0,1,0]=>[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>4 [1,0,1,1,1,0,0,1,0,1,0,0]=>[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>5 [1,0,1,1,1,0,0,1,1,0,0,0]=>[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>6 [1,0,1,1,1,0,1,0,0,0,1,0]=>[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>5 [1,0,1,1,1,0,1,0,0,1,0,0]=>[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>6 [1,0,1,1,1,0,1,0,1,0,0,0]=>[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>7 [1,0,1,1,1,0,1,1,0,0,0,0]=>[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>8 [1,0,1,1,1,1,0,0,0,0,1,0]=>[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>6 [1,0,1,1,1,1,0,0,0,1,0,0]=>[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>7 [1,0,1,1,1,1,0,0,1,0,0,0]=>[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>8 [1,0,1,1,1,1,0,1,0,0,0,0]=>[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>9 [1,0,1,1,1,1,1,0,0,0,0,0]=>[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)]=>10 [1,1,0,0,1,0,1,0,1,0,1,0]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>1 [1,1,0,0,1,0,1,0,1,1,0,0]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>2 [1,1,0,0,1,0,1,1,0,0,1,0]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>2 [1,1,0,0,1,0,1,1,0,1,0,0]=>[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>3 [1,1,0,0,1,0,1,1,1,0,0,0]=>[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)]=>4 [1,1,0,0,1,1,0,0,1,0,1,0]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>2 [1,1,0,0,1,1,0,0,1,1,0,0]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>3 [1,1,0,0,1,1,0,1,0,0,1,0]=>[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>3 [1,1,0,0,1,1,0,1,0,1,0,0]=>[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>4 [1,1,0,0,1,1,0,1,1,0,0,0]=>[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)]=>5 [1,1,0,0,1,1,1,0,0,0,1,0]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>4 [1,1,0,0,1,1,1,0,0,1,0,0]=>[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>5 [1,1,0,0,1,1,1,0,1,0,0,0]=>[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)]=>6 [1,1,0,0,1,1,1,1,0,0,0,0]=>[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)]=>7 [1,1,0,1,0,0,1,0,1,0,1,0]=>[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>2 [1,1,0,1,0,0,1,0,1,1,0,0]=>[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>3 [1,1,0,1,0,0,1,1,0,0,1,0]=>[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>3 [1,1,0,1,0,0,1,1,0,1,0,0]=>[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]=>4 [1,1,0,1,0,0,1,1,1,0,0,0]=>[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)]=>5 [1,1,0,1,0,1,0,0,1,0,1,0]=>[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>3 [1,1,0,1,0,1,0,0,1,1,0,0]=>[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>4 [1,1,0,1,0,1,0,1,0,0,1,0]=>[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>4 [1,1,0,1,0,1,0,1,0,1,0,0]=>[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>5 [1,1,0,1,0,1,0,1,1,0,0,0]=>[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>6 [1,1,0,1,0,1,1,0,0,0,1,0]=>[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>5 [1,1,0,1,0,1,1,0,0,1,0,0]=>[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>6 [1,1,0,1,0,1,1,0,1,0,0,0]=>[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>7 [1,1,0,1,0,1,1,1,0,0,0,0]=>[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>8 [1,1,0,1,1,0,0,0,1,0,1,0]=>[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>4 [1,1,0,1,1,0,0,0,1,1,0,0]=>[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]=>5 [1,1,0,1,1,0,0,1,0,0,1,0]=>[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>5 [1,1,0,1,1,0,0,1,0,1,0,0]=>[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>6 [1,1,0,1,1,0,0,1,1,0,0,0]=>[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>7 [1,1,0,1,1,0,1,0,0,0,1,0]=>[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>6 [1,1,0,1,1,0,1,0,0,1,0,0]=>[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>7 [1,1,0,1,1,0,1,0,1,0,0,0]=>[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>8 [1,1,0,1,1,0,1,1,0,0,0,0]=>[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>9 [1,1,0,1,1,1,0,0,0,0,1,0]=>[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>7 [1,1,0,1,1,1,0,0,0,1,0,0]=>[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>8 [1,1,0,1,1,1,0,0,1,0,0,0]=>[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>9 [1,1,0,1,1,1,0,1,0,0,0,0]=>[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>10 [1,1,0,1,1,1,1,0,0,0,0,0]=>[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>11 [1,1,1,0,0,0,1,0,1,0,1,0]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>3 [1,1,1,0,0,0,1,0,1,1,0,0]=>[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>4 [1,1,1,0,0,0,1,1,0,0,1,0]=>[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>4 [1,1,1,0,0,0,1,1,0,1,0,0]=>[(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)]=>5 [1,1,1,0,0,0,1,1,1,0,0,0]=>[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)]=>6 [1,1,1,0,0,1,0,0,1,0,1,0]=>[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>4 [1,1,1,0,0,1,0,0,1,1,0,0]=>[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]=>5 [1,1,1,0,0,1,0,1,0,0,1,0]=>[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>5 [1,1,1,0,0,1,0,1,0,1,0,0]=>[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>6 [1,1,1,0,0,1,0,1,1,0,0,0]=>[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>7 [1,1,1,0,0,1,1,0,0,0,1,0]=>[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>6 [1,1,1,0,0,1,1,0,0,1,0,0]=>[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>7 [1,1,1,0,0,1,1,0,1,0,0,0]=>[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>8 [1,1,1,0,0,1,1,1,0,0,0,0]=>[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>9 [1,1,1,0,1,0,0,0,1,0,1,0]=>[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>5 [1,1,1,0,1,0,0,0,1,1,0,0]=>[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)]=>6 [1,1,1,0,1,0,0,1,0,0,1,0]=>[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>6 [1,1,1,0,1,0,0,1,0,1,0,0]=>[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>7 [1,1,1,0,1,0,0,1,1,0,0,0]=>[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>8 [1,1,1,0,1,0,1,0,0,0,1,0]=>[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>7 [1,1,1,0,1,0,1,0,0,1,0,0]=>[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>8 [1,1,1,0,1,0,1,0,1,0,0,0]=>[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>9 [1,1,1,0,1,0,1,1,0,0,0,0]=>[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>10 [1,1,1,0,1,1,0,0,0,0,1,0]=>[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>8 [1,1,1,0,1,1,0,0,0,1,0,0]=>[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>9 [1,1,1,0,1,1,0,0,1,0,0,0]=>[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>10 [1,1,1,0,1,1,0,1,0,0,0,0]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>11 [1,1,1,0,1,1,1,0,0,0,0,0]=>[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>12 [1,1,1,1,0,0,0,0,1,0,1,0]=>[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)]=>6 [1,1,1,1,0,0,0,0,1,1,0,0]=>[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)]=>7 [1,1,1,1,0,0,0,1,0,0,1,0]=>[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>7 [1,1,1,1,0,0,0,1,0,1,0,0]=>[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>8 [1,1,1,1,0,0,0,1,1,0,0,0]=>[(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)]=>9 [1,1,1,1,0,0,1,0,0,0,1,0]=>[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>8 [1,1,1,1,0,0,1,0,0,1,0,0]=>[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>9 [1,1,1,1,0,0,1,0,1,0,0,0]=>[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>10 [1,1,1,1,0,0,1,1,0,0,0,0]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>11 [1,1,1,1,0,1,0,0,0,0,1,0]=>[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>9 [1,1,1,1,0,1,0,0,0,1,0,0]=>[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>10 [1,1,1,1,0,1,0,0,1,0,0,0]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>11 [1,1,1,1,0,1,0,1,0,0,0,0]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>12 [1,1,1,1,0,1,1,0,0,0,0,0]=>[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>13 [1,1,1,1,1,0,0,0,0,0,1,0]=>[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)]=>10 [1,1,1,1,1,0,0,0,0,1,0,0]=>[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>11 [1,1,1,1,1,0,0,0,1,0,0,0]=>[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>12 [1,1,1,1,1,0,0,1,0,0,0,0]=>[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>13 [1,1,1,1,1,0,1,0,0,0,0,0]=>[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>14 [1,1,1,1,1,1,0,0,0,0,0,0]=>[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)]=>15 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13)]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11),(13,14)]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,14),(10,11),(12,13)]=>2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,14),(10,13),(11,12)]=>3 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12),(13,14)]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[(1,2),(3,4),(5,6),(7,10),(8,9),(11,14),(12,13)]=>2 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,14),(8,9),(10,11),(12,13)]=>3 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10),(13,14)]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,14),(8,11),(9,10),(12,13)]=>4 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[(1,2),(3,4),(5,6),(7,14),(8,13),(9,10),(11,12)]=>5 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[(1,2),(3,4),(5,6),(7,14),(8,13),(9,12),(10,11)]=>6 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12),(13,14)]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[(1,2),(3,4),(5,8),(6,7),(9,10),(11,14),(12,13)]=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11),(13,14)]=>2 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[(1,2),(3,4),(5,8),(6,7),(9,14),(10,13),(11,12)]=>4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,14),(6,7),(8,9),(10,11),(12,13)]=>4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12),(13,14)]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[(1,2),(3,4),(5,10),(6,9),(7,8),(11,14),(12,13)]=>4 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[(1,2),(3,4),(5,14),(6,9),(7,8),(10,11),(12,13)]=>5 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[(1,2),(3,4),(5,14),(6,11),(7,8),(9,10),(12,13)]=>6 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[(1,2),(3,4),(5,14),(6,13),(7,8),(9,10),(11,12)]=>7 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[(1,2),(3,4),(5,14),(6,13),(7,8),(9,12),(10,11)]=>8 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9),(13,14)]=>6 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[(1,2),(3,4),(5,14),(6,11),(7,10),(8,9),(12,13)]=>7 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[(1,2),(3,4),(5,14),(6,13),(7,12),(8,9),(10,11)]=>9 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[(1,2),(3,4),(5,14),(6,13),(7,12),(8,11),(9,10)]=>10 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12),(13,14)]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[(1,2),(3,6),(4,5),(7,8),(9,10),(11,14),(12,13)]=>2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11),(13,14)]=>2 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[(1,2),(3,6),(4,5),(7,8),(9,14),(10,13),(11,12)]=>4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12),(13,14)]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[(1,2),(3,6),(4,5),(7,10),(8,9),(11,14),(12,13)]=>3 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10),(13,14)]=>4 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[(1,2),(3,6),(4,5),(7,14),(8,13),(9,12),(10,11)]=>7 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,14),(4,5),(6,7),(8,9),(10,11),(12,13)]=>5 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[(1,2),(3,14),(4,5),(6,13),(7,12),(8,11),(9,10)]=>11 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12),(13,14)]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[(1,2),(3,8),(4,7),(5,6),(9,10),(11,14),(12,13)]=>4 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11),(13,14)]=>4 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[(1,2),(3,8),(4,7),(5,6),(9,14),(10,13),(11,12)]=>6 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[(1,2),(3,14),(4,7),(5,6),(8,9),(10,11),(12,13)]=>6 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[(1,2),(3,14),(4,9),(5,6),(7,8),(10,11),(12,13)]=>7 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[(1,2),(3,14),(4,11),(5,6),(7,8),(9,10),(12,13)]=>8 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[(1,2),(3,14),(4,11),(5,6),(7,10),(8,9),(12,13)]=>9 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[(1,2),(3,14),(4,13),(5,6),(7,12),(8,9),(10,11)]=>11 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[(1,2),(3,14),(4,13),(5,6),(7,12),(8,11),(9,10)]=>12 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12),(13,14)]=>6 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[(1,2),(3,10),(4,9),(5,8),(6,7),(11,14),(12,13)]=>7 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[(1,2),(3,14),(4,9),(5,8),(6,7),(10,11),(12,13)]=>8 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[(1,2),(3,14),(4,13),(5,8),(6,7),(9,12),(10,11)]=>11 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[(1,2),(3,14),(4,11),(5,10),(6,7),(8,9),(12,13)]=>10 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[(1,2),(3,14),(4,13),(5,10),(6,7),(8,9),(11,12)]=>11 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[(1,2),(3,14),(4,13),(5,12),(6,7),(8,9),(10,11)]=>12 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[(1,2),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10)]=>13 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8),(13,14)]=>10 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[(1,2),(3,14),(4,11),(5,10),(6,9),(7,8),(12,13)]=>11 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[(1,2),(3,14),(4,13),(5,10),(6,9),(7,8),(11,12)]=>12 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[(1,2),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11)]=>13 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[(1,2),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10)]=>14 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9)]=>15 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14)]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[(1,4),(2,3),(5,6),(7,8),(9,10),(11,14),(12,13)]=>2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11),(13,14)]=>2 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[(1,4),(2,3),(5,6),(7,8),(9,14),(10,13),(11,12)]=>4 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12),(13,14)]=>2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[(1,4),(2,3),(5,6),(7,10),(8,9),(11,14),(12,13)]=>3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10),(13,14)]=>4 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[(1,4),(2,3),(5,6),(7,14),(8,13),(9,12),(10,11)]=>7 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12),(13,14)]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[(1,4),(2,3),(5,8),(6,7),(9,10),(11,14),(12,13)]=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11),(13,14)]=>3 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[(1,4),(2,3),(5,8),(6,7),(9,14),(10,13),(11,12)]=>5 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12),(13,14)]=>4 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[(1,4),(2,3),(5,10),(6,9),(7,8),(11,14),(12,13)]=>5 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9),(13,14)]=>7 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[(1,4),(2,3),(5,14),(6,13),(7,12),(8,11),(9,10)]=>11 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)]=>6 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[(1,14),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12)]=>7 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[(1,14),(2,3),(4,5),(6,7),(8,11),(9,10),(12,13)]=>7 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[(1,14),(2,3),(4,5),(6,7),(8,13),(9,10),(11,12)]=>8 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[(1,14),(2,3),(4,5),(6,7),(8,13),(9,12),(10,11)]=>9 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[(1,14),(2,3),(4,5),(6,9),(7,8),(10,11),(12,13)]=>7 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[(1,14),(2,3),(4,5),(6,9),(7,8),(10,13),(11,12)]=>8 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[(1,14),(2,3),(4,5),(6,11),(7,8),(9,10),(12,13)]=>8 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[(1,14),(2,3),(4,5),(6,13),(7,8),(9,10),(11,12)]=>9 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[(1,14),(2,3),(4,5),(6,13),(7,8),(9,12),(10,11)]=>10 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[(1,14),(2,3),(4,5),(6,11),(7,10),(8,9),(12,13)]=>9 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[(1,14),(2,3),(4,5),(6,13),(7,10),(8,9),(11,12)]=>10 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[(1,14),(2,3),(4,5),(6,13),(7,12),(8,9),(10,11)]=>11 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[(1,14),(2,3),(4,5),(6,13),(7,12),(8,11),(9,10)]=>12 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[(1,14),(2,3),(4,7),(5,6),(8,9),(10,11),(12,13)]=>7 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[(1,14),(2,3),(4,7),(5,6),(8,9),(10,13),(11,12)]=>8 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[(1,14),(2,3),(4,7),(5,6),(8,11),(9,10),(12,13)]=>8 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[(1,14),(2,3),(4,7),(5,6),(8,13),(9,10),(11,12)]=>9 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[(1,14),(2,3),(4,7),(5,6),(8,13),(9,12),(10,11)]=>10 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[(1,14),(2,3),(4,9),(5,6),(7,8),(10,11),(12,13)]=>8 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[(1,14),(2,3),(4,9),(5,6),(7,8),(10,13),(11,12)]=>9 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[(1,14),(2,3),(4,11),(5,6),(7,8),(9,10),(12,13)]=>9 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[(1,14),(2,3),(4,13),(5,6),(7,8),(9,10),(11,12)]=>10 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[(1,14),(2,3),(4,13),(5,6),(7,8),(9,12),(10,11)]=>11 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[(1,14),(2,3),(4,11),(5,6),(7,10),(8,9),(12,13)]=>10 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[(1,14),(2,3),(4,13),(5,6),(7,10),(8,9),(11,12)]=>11 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[(1,14),(2,3),(4,13),(5,6),(7,12),(8,9),(10,11)]=>12 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[(1,14),(2,3),(4,13),(5,6),(7,12),(8,11),(9,10)]=>13 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[(1,14),(2,3),(4,9),(5,8),(6,7),(10,11),(12,13)]=>9 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[(1,14),(2,3),(4,9),(5,8),(6,7),(10,13),(11,12)]=>10 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[(1,14),(2,3),(4,11),(5,8),(6,7),(9,10),(12,13)]=>10 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[(1,14),(2,3),(4,13),(5,8),(6,7),(9,10),(11,12)]=>11 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[(1,14),(2,3),(4,13),(5,8),(6,7),(9,12),(10,11)]=>12 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[(1,14),(2,3),(4,11),(5,10),(6,7),(8,9),(12,13)]=>11 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[(1,14),(2,3),(4,13),(5,10),(6,7),(8,9),(11,12)]=>12 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[(1,14),(2,3),(4,13),(5,12),(6,7),(8,9),(10,11)]=>13 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[(1,14),(2,3),(4,13),(5,12),(6,7),(8,11),(9,10)]=>14 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8),(13,14)]=>11 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[(1,14),(2,3),(4,11),(5,10),(6,9),(7,8),(12,13)]=>12 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[(1,14),(2,3),(4,13),(5,10),(6,9),(7,8),(11,12)]=>13 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[(1,14),(2,3),(4,13),(5,12),(6,9),(7,8),(10,11)]=>14 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[(1,14),(2,3),(4,13),(5,12),(6,11),(7,8),(9,10)]=>15 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[(1,14),(2,3),(4,13),(5,12),(6,11),(7,10),(8,9)]=>16 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,14)]=>3 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[(1,6),(2,5),(3,4),(7,8),(9,10),(11,14),(12,13)]=>4 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11),(13,14)]=>4 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[(1,6),(2,5),(3,4),(7,8),(9,14),(10,13),(11,12)]=>6 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12),(13,14)]=>4 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[(1,6),(2,5),(3,4),(7,10),(8,9),(11,14),(12,13)]=>5 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10),(13,14)]=>6 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[(1,6),(2,5),(3,4),(7,14),(8,13),(9,12),(10,11)]=>9 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[(1,14),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13)]=>7 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[(1,14),(2,5),(3,4),(6,7),(8,9),(10,13),(11,12)]=>8 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[(1,14),(2,5),(3,4),(6,7),(8,11),(9,10),(12,13)]=>8 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[(1,14),(2,5),(3,4),(6,7),(8,13),(9,10),(11,12)]=>9 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[(1,14),(2,5),(3,4),(6,7),(8,13),(9,12),(10,11)]=>10 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[(1,14),(2,5),(3,4),(6,9),(7,8),(10,11),(12,13)]=>8 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[(1,14),(2,5),(3,4),(6,9),(7,8),(10,13),(11,12)]=>9 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[(1,14),(2,5),(3,4),(6,11),(7,8),(9,10),(12,13)]=>9 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[(1,14),(2,5),(3,4),(6,13),(7,8),(9,10),(11,12)]=>10 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[(1,14),(2,5),(3,4),(6,13),(7,8),(9,12),(10,11)]=>11 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[(1,14),(2,5),(3,4),(6,11),(7,10),(8,9),(12,13)]=>10 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[(1,14),(2,5),(3,4),(6,13),(7,10),(8,9),(11,12)]=>11 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[(1,14),(2,5),(3,4),(6,13),(7,12),(8,9),(10,11)]=>12 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[(1,14),(2,5),(3,4),(6,13),(7,12),(8,11),(9,10)]=>13 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[(1,14),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13)]=>8 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[(1,14),(2,7),(3,4),(5,6),(8,9),(10,13),(11,12)]=>9 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[(1,14),(2,7),(3,4),(5,6),(8,11),(9,10),(12,13)]=>9 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[(1,14),(2,7),(3,4),(5,6),(8,13),(9,10),(11,12)]=>10 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[(1,14),(2,7),(3,4),(5,6),(8,13),(9,12),(10,11)]=>11 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[(1,14),(2,9),(3,4),(5,6),(7,8),(10,11),(12,13)]=>9 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[(1,14),(2,9),(3,4),(5,6),(7,8),(10,13),(11,12)]=>10 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[(1,14),(2,11),(3,4),(5,6),(7,8),(9,10),(12,13)]=>10 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[(1,14),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12)]=>11 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[(1,14),(2,13),(3,4),(5,6),(7,8),(9,12),(10,11)]=>12 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[(1,14),(2,11),(3,4),(5,6),(7,10),(8,9),(12,13)]=>11 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[(1,14),(2,13),(3,4),(5,6),(7,10),(8,9),(11,12)]=>12 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[(1,14),(2,13),(3,4),(5,6),(7,12),(8,9),(10,11)]=>13 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[(1,14),(2,13),(3,4),(5,6),(7,12),(8,11),(9,10)]=>14 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[(1,14),(2,9),(3,4),(5,8),(6,7),(10,11),(12,13)]=>10 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[(1,14),(2,9),(3,4),(5,8),(6,7),(10,13),(11,12)]=>11 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[(1,14),(2,11),(3,4),(5,8),(6,7),(9,10),(12,13)]=>11 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[(1,14),(2,13),(3,4),(5,8),(6,7),(9,10),(11,12)]=>12 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[(1,14),(2,13),(3,4),(5,8),(6,7),(9,12),(10,11)]=>13 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9),(13,14)]=>11 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[(1,14),(2,11),(3,4),(5,10),(6,7),(8,9),(12,13)]=>12 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[(1,14),(2,13),(3,4),(5,10),(6,7),(8,9),(11,12)]=>13 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[(1,14),(2,13),(3,4),(5,12),(6,7),(8,9),(10,11)]=>14 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[(1,14),(2,13),(3,4),(5,12),(6,7),(8,11),(9,10)]=>15 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8),(13,14)]=>12 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[(1,14),(2,11),(3,4),(5,10),(6,9),(7,8),(12,13)]=>13 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[(1,14),(2,13),(3,4),(5,10),(6,9),(7,8),(11,12)]=>14 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[(1,14),(2,13),(3,4),(5,12),(6,9),(7,8),(10,11)]=>15 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[(1,14),(2,13),(3,4),(5,12),(6,11),(7,8),(9,10)]=>16 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[(1,14),(2,13),(3,4),(5,12),(6,11),(7,10),(8,9)]=>17 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12),(13,14)]=>6 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[(1,8),(2,7),(3,6),(4,5),(9,10),(11,14),(12,13)]=>7 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11),(13,14)]=>7 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[(1,8),(2,7),(3,6),(4,5),(9,14),(10,13),(11,12)]=>9 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[(1,14),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13)]=>9 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[(1,14),(2,7),(3,6),(4,5),(8,9),(10,13),(11,12)]=>10 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[(1,14),(2,7),(3,6),(4,5),(8,11),(9,10),(12,13)]=>10 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[(1,14),(2,7),(3,6),(4,5),(8,13),(9,10),(11,12)]=>11 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[(1,14),(2,7),(3,6),(4,5),(8,13),(9,12),(10,11)]=>12 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[(1,14),(2,9),(3,6),(4,5),(7,8),(10,11),(12,13)]=>10 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[(1,14),(2,9),(3,6),(4,5),(7,8),(10,13),(11,12)]=>11 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[(1,14),(2,11),(3,6),(4,5),(7,8),(9,10),(12,13)]=>11 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[(1,14),(2,13),(3,6),(4,5),(7,8),(9,10),(11,12)]=>12 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[(1,14),(2,13),(3,6),(4,5),(7,8),(9,12),(10,11)]=>13 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9),(13,14)]=>11 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[(1,14),(2,11),(3,6),(4,5),(7,10),(8,9),(12,13)]=>12 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[(1,14),(2,13),(3,6),(4,5),(7,10),(8,9),(11,12)]=>13 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[(1,14),(2,13),(3,6),(4,5),(7,12),(8,9),(10,11)]=>14 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[(1,14),(2,13),(3,6),(4,5),(7,12),(8,11),(9,10)]=>15 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[(1,14),(2,9),(3,8),(4,5),(6,7),(10,11),(12,13)]=>11 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[(1,14),(2,9),(3,8),(4,5),(6,7),(10,13),(11,12)]=>12 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10),(13,14)]=>11 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[(1,14),(2,11),(3,8),(4,5),(6,7),(9,10),(12,13)]=>12 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[(1,14),(2,13),(3,8),(4,5),(6,7),(9,10),(11,12)]=>13 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[(1,14),(2,13),(3,8),(4,5),(6,7),(9,12),(10,11)]=>14 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9),(13,14)]=>12 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[(1,14),(2,11),(3,10),(4,5),(6,7),(8,9),(12,13)]=>13 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[(1,14),(2,13),(3,10),(4,5),(6,7),(8,9),(11,12)]=>14 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,5),(6,7),(8,9),(10,11)]=>15 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,5),(6,7),(8,11),(9,10)]=>16 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8),(13,14)]=>13 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[(1,14),(2,11),(3,10),(4,5),(6,9),(7,8),(12,13)]=>14 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[(1,14),(2,13),(3,10),(4,5),(6,9),(7,8),(11,12)]=>15 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,5),(6,9),(7,8),(10,11)]=>16 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,5),(6,11),(7,8),(9,10)]=>17 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9)]=>18 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12),(13,14)]=>10 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[(1,10),(2,9),(3,8),(4,7),(5,6),(11,14),(12,13)]=>11 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14)]=>11 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[(1,14),(2,9),(3,8),(4,7),(5,6),(10,11),(12,13)]=>12 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[(1,14),(2,9),(3,8),(4,7),(5,6),(10,13),(11,12)]=>13 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10),(13,14)]=>12 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[(1,14),(2,11),(3,8),(4,7),(5,6),(9,10),(12,13)]=>13 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[(1,14),(2,13),(3,8),(4,7),(5,6),(9,10),(11,12)]=>14 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[(1,14),(2,13),(3,8),(4,7),(5,6),(9,12),(10,11)]=>15 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9),(13,14)]=>13 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[(1,14),(2,11),(3,10),(4,7),(5,6),(8,9),(12,13)]=>14 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[(1,14),(2,13),(3,10),(4,7),(5,6),(8,9),(11,12)]=>15 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,7),(5,6),(8,9),(10,11)]=>16 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,7),(5,6),(8,11),(9,10)]=>17 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,14)]=>14 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[(1,14),(2,11),(3,10),(4,9),(5,6),(7,8),(12,13)]=>15 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[(1,14),(2,13),(3,10),(4,9),(5,6),(7,8),(11,12)]=>16 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,9),(5,6),(7,8),(10,11)]=>17 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10)]=>18 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9)]=>19 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14)]=>15 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[(1,14),(2,11),(3,10),(4,9),(5,8),(6,7),(12,13)]=>16 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[(1,14),(2,13),(3,10),(4,9),(5,8),(6,7),(11,12)]=>17 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11)]=>18 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10)]=>19 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9)]=>20 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8)]=>21 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,16),(14,15)]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,13),(14,15)]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,15),(13,14)]=>3 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,16),(10,11),(12,13),(14,15)]=>3 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,16),(10,13),(11,12),(14,15)]=>4 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,12),(13,14)]=>5 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,14),(12,13)]=>6 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,16),(8,9),(10,11),(12,13),(14,15)]=>4 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,16),(8,11),(9,10),(12,13),(14,15)]=>5 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,16),(8,13),(9,10),(11,12),(14,15)]=>6 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,16),(8,13),(9,12),(10,11),(14,15)]=>7 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)]=>5 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,16),(6,9),(7,8),(10,11),(12,13),(14,15)]=>6 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[(1,2),(3,4),(5,16),(6,11),(7,8),(9,10),(12,13),(14,15)]=>7 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[(1,2),(3,4),(5,16),(6,11),(7,10),(8,9),(12,13),(14,15)]=>8 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,16),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)]=>6 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,16),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15)]=>7 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[(1,2),(3,16),(4,9),(5,6),(7,8),(10,11),(12,13),(14,15)]=>8 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[(1,2),(3,16),(4,9),(5,8),(6,7),(10,11),(12,13),(14,15)]=>9 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[(1,2),(3,16),(4,15),(5,14),(6,7),(8,13),(9,12),(10,11)]=>18 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)]=>18 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,12),(10,11)]=>19 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[(1,2),(3,16),(4,15),(5,14),(6,11),(7,10),(8,9),(12,13)]=>18 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[(1,2),(3,16),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)]=>19 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)]=>20 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)]=>21 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)]=>7 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[(1,16),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15)]=>8 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[(1,16),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13),(14,15)]=>9 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[(1,16),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13),(14,15)]=>10 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9),(15,16)]=>18 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10),(15,16)]=>18 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9),(15,16)]=>19 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11),(15,16)]=>18 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10),(15,16)]=>19 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9),(15,16)]=>20 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,16)]=>21 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(17,18)]=>28 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)]=>28 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(19,20)]=>36 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(17,18)]=>27 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)]=>27 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)]=>36 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(21,22)]=>45 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11),(19,20)]=>35 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[(1,16),(2,15),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11),(17,18)]=>26 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[(1,16),(2,15),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10),(17,18)]=>26 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)]=>26 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,9),(10,13),(11,12)]=>26 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,11),(12,13)]=>35 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[(1,2),(3,22),(4,21),(5,20),(6,19),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)]=>45 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]=>8 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[(1,18),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]=>9 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,18),(16,17)]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,18),(14,15),(16,17)]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,13),(14,15),(16,17)]=>3 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,18),(10,11),(12,13),(14,15),(16,17)]=>4 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,18),(8,9),(10,11),(12,13),(14,15),(16,17)]=>5 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,18),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]=>6 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,18),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]=>7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,20),(18,19)]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,18),(14,17),(15,16)]=>3 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,20),(16,17),(18,19)]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,15),(13,14),(16,17)]=>4 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,20),(14,15),(16,17),(18,19)]=>3 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,18),(10,13),(11,12),(14,15),(16,17)]=>5 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,10),(11,20),(12,13),(14,15),(16,17),(18,19)]=>4 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,18),(8,11),(9,10),(12,13),(14,15),(16,17)]=>6 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,8),(9,20),(10,11),(12,13),(14,15),(16,17),(18,19)]=>5 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,18),(6,9),(7,8),(10,11),(12,13),(14,15),(16,17)]=>7 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,6),(7,20),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]=>6 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,18),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15),(16,17)]=>8 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,4),(5,20),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]=>7 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[(1,2),(3,20),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]=>8 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[(1,20),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]=>9
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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 $(a,b)$.
Map
to tunnel matching
Description
Sends a Dyck path of semilength n to the noncrossing perfect matching given by matching an up-step with the corresponding down-step.
This is, for a Dyck path $D$ of semilength $n$, the perfect matching of $\{1,\dots,2n\}$ with $i < j$ being matched if $D_i$ is an up-step and $D_j$ is the down-step connected to $D_i$ by a tunnel.