Identifier
-
Mp00150:
Perfect matchings
—to Dyck path⟶
Dyck paths
Mp00025: Dyck paths —to 132-avoiding permutation⟶ Permutations
St000054: Permutations ⟶ ℤ
Values
[(1,2)] => [1,0] => [1] => 1
[(1,2),(3,4)] => [1,0,1,0] => [2,1] => 2
[(1,3),(2,4)] => [1,1,0,0] => [1,2] => 1
[(1,4),(2,3)] => [1,1,0,0] => [1,2] => 1
[(1,2),(3,4),(5,6)] => [1,0,1,0,1,0] => [3,2,1] => 3
[(1,3),(2,4),(5,6)] => [1,1,0,0,1,0] => [3,1,2] => 3
[(1,4),(2,3),(5,6)] => [1,1,0,0,1,0] => [3,1,2] => 3
[(1,5),(2,3),(4,6)] => [1,1,0,1,0,0] => [2,1,3] => 2
[(1,6),(2,3),(4,5)] => [1,1,0,1,0,0] => [2,1,3] => 2
[(1,6),(2,4),(3,5)] => [1,1,1,0,0,0] => [1,2,3] => 1
[(1,5),(2,4),(3,6)] => [1,1,1,0,0,0] => [1,2,3] => 1
[(1,4),(2,5),(3,6)] => [1,1,1,0,0,0] => [1,2,3] => 1
[(1,3),(2,5),(4,6)] => [1,1,0,1,0,0] => [2,1,3] => 2
[(1,2),(3,5),(4,6)] => [1,0,1,1,0,0] => [2,3,1] => 2
[(1,2),(3,6),(4,5)] => [1,0,1,1,0,0] => [2,3,1] => 2
[(1,3),(2,6),(4,5)] => [1,1,0,1,0,0] => [2,1,3] => 2
[(1,4),(2,6),(3,5)] => [1,1,1,0,0,0] => [1,2,3] => 1
[(1,5),(2,6),(3,4)] => [1,1,1,0,0,0] => [1,2,3] => 1
[(1,6),(2,5),(3,4)] => [1,1,1,0,0,0] => [1,2,3] => 1
[(1,2),(3,4),(5,6),(7,8)] => [1,0,1,0,1,0,1,0] => [4,3,2,1] => 4
[(1,3),(2,4),(5,6),(7,8)] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 4
[(1,4),(2,3),(5,6),(7,8)] => [1,1,0,0,1,0,1,0] => [4,3,1,2] => 4
[(1,5),(2,3),(4,6),(7,8)] => [1,1,0,1,0,0,1,0] => [4,2,1,3] => 4
[(1,6),(2,3),(4,5),(7,8)] => [1,1,0,1,0,0,1,0] => [4,2,1,3] => 4
[(1,7),(2,3),(4,5),(6,8)] => [1,1,0,1,0,1,0,0] => [3,2,1,4] => 3
[(1,8),(2,3),(4,5),(6,7)] => [1,1,0,1,0,1,0,0] => [3,2,1,4] => 3
[(1,8),(2,4),(3,5),(6,7)] => [1,1,1,0,0,1,0,0] => [3,1,2,4] => 3
[(1,7),(2,4),(3,5),(6,8)] => [1,1,1,0,0,1,0,0] => [3,1,2,4] => 3
[(1,6),(2,4),(3,5),(7,8)] => [1,1,1,0,0,0,1,0] => [4,1,2,3] => 4
[(1,5),(2,4),(3,6),(7,8)] => [1,1,1,0,0,0,1,0] => [4,1,2,3] => 4
[(1,4),(2,5),(3,6),(7,8)] => [1,1,1,0,0,0,1,0] => [4,1,2,3] => 4
[(1,3),(2,5),(4,6),(7,8)] => [1,1,0,1,0,0,1,0] => [4,2,1,3] => 4
[(1,2),(3,5),(4,6),(7,8)] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 4
[(1,2),(3,6),(4,5),(7,8)] => [1,0,1,1,0,0,1,0] => [4,2,3,1] => 4
[(1,3),(2,6),(4,5),(7,8)] => [1,1,0,1,0,0,1,0] => [4,2,1,3] => 4
[(1,4),(2,6),(3,5),(7,8)] => [1,1,1,0,0,0,1,0] => [4,1,2,3] => 4
[(1,5),(2,6),(3,4),(7,8)] => [1,1,1,0,0,0,1,0] => [4,1,2,3] => 4
[(1,6),(2,5),(3,4),(7,8)] => [1,1,1,0,0,0,1,0] => [4,1,2,3] => 4
[(1,7),(2,5),(3,4),(6,8)] => [1,1,1,0,0,1,0,0] => [3,1,2,4] => 3
[(1,8),(2,5),(3,4),(6,7)] => [1,1,1,0,0,1,0,0] => [3,1,2,4] => 3
[(1,8),(2,6),(3,4),(5,7)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,7),(2,6),(3,4),(5,8)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,6),(2,7),(3,4),(5,8)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,5),(2,7),(3,4),(6,8)] => [1,1,1,0,0,1,0,0] => [3,1,2,4] => 3
[(1,4),(2,7),(3,5),(6,8)] => [1,1,1,0,0,1,0,0] => [3,1,2,4] => 3
[(1,3),(2,7),(4,5),(6,8)] => [1,1,0,1,0,1,0,0] => [3,2,1,4] => 3
[(1,2),(3,7),(4,5),(6,8)] => [1,0,1,1,0,1,0,0] => [3,2,4,1] => 3
[(1,2),(3,8),(4,5),(6,7)] => [1,0,1,1,0,1,0,0] => [3,2,4,1] => 3
[(1,3),(2,8),(4,5),(6,7)] => [1,1,0,1,0,1,0,0] => [3,2,1,4] => 3
[(1,4),(2,8),(3,5),(6,7)] => [1,1,1,0,0,1,0,0] => [3,1,2,4] => 3
[(1,5),(2,8),(3,4),(6,7)] => [1,1,1,0,0,1,0,0] => [3,1,2,4] => 3
[(1,6),(2,8),(3,4),(5,7)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,7),(2,8),(3,4),(5,6)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,8),(2,7),(3,4),(5,6)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,8),(2,7),(3,5),(4,6)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,7),(2,8),(3,5),(4,6)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,6),(2,8),(3,5),(4,7)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,5),(2,8),(3,6),(4,7)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,4),(2,8),(3,6),(5,7)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,3),(2,8),(4,6),(5,7)] => [1,1,0,1,1,0,0,0] => [2,3,1,4] => 2
[(1,2),(3,8),(4,6),(5,7)] => [1,0,1,1,1,0,0,0] => [2,3,4,1] => 2
[(1,2),(3,7),(4,6),(5,8)] => [1,0,1,1,1,0,0,0] => [2,3,4,1] => 2
[(1,3),(2,7),(4,6),(5,8)] => [1,1,0,1,1,0,0,0] => [2,3,1,4] => 2
[(1,4),(2,7),(3,6),(5,8)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,5),(2,7),(3,6),(4,8)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,6),(2,7),(3,5),(4,8)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,7),(2,6),(3,5),(4,8)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,8),(2,6),(3,5),(4,7)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,8),(2,5),(3,6),(4,7)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,7),(2,5),(3,6),(4,8)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,6),(2,5),(3,7),(4,8)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,5),(2,6),(3,7),(4,8)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,4),(2,6),(3,7),(5,8)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,3),(2,6),(4,7),(5,8)] => [1,1,0,1,1,0,0,0] => [2,3,1,4] => 2
[(1,2),(3,6),(4,7),(5,8)] => [1,0,1,1,1,0,0,0] => [2,3,4,1] => 2
[(1,2),(3,5),(4,7),(6,8)] => [1,0,1,1,0,1,0,0] => [3,2,4,1] => 3
[(1,3),(2,5),(4,7),(6,8)] => [1,1,0,1,0,1,0,0] => [3,2,1,4] => 3
[(1,4),(2,5),(3,7),(6,8)] => [1,1,1,0,0,1,0,0] => [3,1,2,4] => 3
[(1,5),(2,4),(3,7),(6,8)] => [1,1,1,0,0,1,0,0] => [3,1,2,4] => 3
[(1,6),(2,4),(3,7),(5,8)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,7),(2,4),(3,6),(5,8)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,8),(2,4),(3,6),(5,7)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,8),(2,3),(4,6),(5,7)] => [1,1,0,1,1,0,0,0] => [2,3,1,4] => 2
[(1,7),(2,3),(4,6),(5,8)] => [1,1,0,1,1,0,0,0] => [2,3,1,4] => 2
[(1,6),(2,3),(4,7),(5,8)] => [1,1,0,1,1,0,0,0] => [2,3,1,4] => 2
[(1,5),(2,3),(4,7),(6,8)] => [1,1,0,1,0,1,0,0] => [3,2,1,4] => 3
[(1,4),(2,3),(5,7),(6,8)] => [1,1,0,0,1,1,0,0] => [3,4,1,2] => 3
[(1,3),(2,4),(5,7),(6,8)] => [1,1,0,0,1,1,0,0] => [3,4,1,2] => 3
[(1,2),(3,4),(5,7),(6,8)] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 3
[(1,2),(3,4),(5,8),(6,7)] => [1,0,1,0,1,1,0,0] => [3,4,2,1] => 3
[(1,3),(2,4),(5,8),(6,7)] => [1,1,0,0,1,1,0,0] => [3,4,1,2] => 3
[(1,4),(2,3),(5,8),(6,7)] => [1,1,0,0,1,1,0,0] => [3,4,1,2] => 3
[(1,5),(2,3),(4,8),(6,7)] => [1,1,0,1,0,1,0,0] => [3,2,1,4] => 3
[(1,6),(2,3),(4,8),(5,7)] => [1,1,0,1,1,0,0,0] => [2,3,1,4] => 2
[(1,7),(2,3),(4,8),(5,6)] => [1,1,0,1,1,0,0,0] => [2,3,1,4] => 2
[(1,8),(2,3),(4,7),(5,6)] => [1,1,0,1,1,0,0,0] => [2,3,1,4] => 2
[(1,8),(2,4),(3,7),(5,6)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,7),(2,4),(3,8),(5,6)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,6),(2,4),(3,8),(5,7)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,5),(2,4),(3,8),(6,7)] => [1,1,1,0,0,1,0,0] => [3,1,2,4] => 3
[(1,4),(2,5),(3,8),(6,7)] => [1,1,1,0,0,1,0,0] => [3,1,2,4] => 3
>>> Load all 1421 entries. <<<[(1,3),(2,5),(4,8),(6,7)] => [1,1,0,1,0,1,0,0] => [3,2,1,4] => 3
[(1,2),(3,5),(4,8),(6,7)] => [1,0,1,1,0,1,0,0] => [3,2,4,1] => 3
[(1,2),(3,6),(4,8),(5,7)] => [1,0,1,1,1,0,0,0] => [2,3,4,1] => 2
[(1,3),(2,6),(4,8),(5,7)] => [1,1,0,1,1,0,0,0] => [2,3,1,4] => 2
[(1,4),(2,6),(3,8),(5,7)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,5),(2,6),(3,8),(4,7)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,6),(2,5),(3,8),(4,7)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,7),(2,5),(3,8),(4,6)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,8),(2,5),(3,7),(4,6)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,8),(2,6),(3,7),(4,5)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,7),(2,6),(3,8),(4,5)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,6),(2,7),(3,8),(4,5)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,5),(2,7),(3,8),(4,6)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,4),(2,7),(3,8),(5,6)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,3),(2,7),(4,8),(5,6)] => [1,1,0,1,1,0,0,0] => [2,3,1,4] => 2
[(1,2),(3,7),(4,8),(5,6)] => [1,0,1,1,1,0,0,0] => [2,3,4,1] => 2
[(1,2),(3,8),(4,7),(5,6)] => [1,0,1,1,1,0,0,0] => [2,3,4,1] => 2
[(1,3),(2,8),(4,7),(5,6)] => [1,1,0,1,1,0,0,0] => [2,3,1,4] => 2
[(1,4),(2,8),(3,7),(5,6)] => [1,1,1,0,1,0,0,0] => [2,1,3,4] => 2
[(1,5),(2,8),(3,7),(4,6)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,6),(2,8),(3,7),(4,5)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,7),(2,8),(3,6),(4,5)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,8),(2,7),(3,6),(4,5)] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 1
[(1,2),(3,4),(5,6),(7,8),(9,10)] => [1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => 5
[(1,3),(2,4),(5,6),(7,8),(9,10)] => [1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,2] => 5
[(1,4),(2,3),(5,6),(7,8),(9,10)] => [1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,2] => 5
[(1,5),(2,3),(4,6),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => 5
[(1,6),(2,3),(4,5),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => 5
[(1,7),(2,3),(4,5),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 5
[(1,8),(2,3),(4,5),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 5
[(1,9),(2,3),(4,5),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,10),(2,3),(4,5),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,10),(2,4),(3,5),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,9),(2,4),(3,5),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,8),(2,4),(3,5),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 5
[(1,7),(2,4),(3,5),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 5
[(1,6),(2,4),(3,5),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 5
[(1,5),(2,4),(3,6),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 5
[(1,4),(2,5),(3,6),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 5
[(1,3),(2,5),(4,6),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => 5
[(1,2),(3,5),(4,6),(7,8),(9,10)] => [1,0,1,1,0,0,1,0,1,0] => [5,4,2,3,1] => 5
[(1,2),(3,6),(4,5),(7,8),(9,10)] => [1,0,1,1,0,0,1,0,1,0] => [5,4,2,3,1] => 5
[(1,3),(2,6),(4,5),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => 5
[(1,4),(2,6),(3,5),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 5
[(1,5),(2,6),(3,4),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 5
[(1,6),(2,5),(3,4),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => 5
[(1,7),(2,5),(3,4),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 5
[(1,8),(2,5),(3,4),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 5
[(1,9),(2,5),(3,4),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,10),(2,5),(3,4),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,10),(2,6),(3,4),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,9),(2,6),(3,4),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,8),(2,6),(3,4),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,7),(2,6),(3,4),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,6),(2,7),(3,4),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,5),(2,7),(3,4),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 5
[(1,4),(2,7),(3,5),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 5
[(1,3),(2,7),(4,5),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 5
[(1,2),(3,7),(4,5),(6,8),(9,10)] => [1,0,1,1,0,1,0,0,1,0] => [5,3,2,4,1] => 5
[(1,2),(3,8),(4,5),(6,7),(9,10)] => [1,0,1,1,0,1,0,0,1,0] => [5,3,2,4,1] => 5
[(1,3),(2,8),(4,5),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 5
[(1,4),(2,8),(3,5),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 5
[(1,5),(2,8),(3,4),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 5
[(1,6),(2,8),(3,4),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,7),(2,8),(3,4),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,8),(2,7),(3,4),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,9),(2,7),(3,4),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,10),(2,7),(3,4),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,10),(2,8),(3,4),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,9),(2,8),(3,4),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,8),(2,9),(3,4),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,7),(2,9),(3,4),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,6),(2,9),(3,4),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,5),(2,9),(3,4),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,4),(2,9),(3,5),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,3),(2,9),(4,5),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,2),(3,9),(4,5),(6,7),(8,10)] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 4
[(1,2),(3,10),(4,5),(6,7),(8,9)] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 4
[(1,3),(2,10),(4,5),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,4),(2,10),(3,5),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,5),(2,10),(3,4),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,6),(2,10),(3,4),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,7),(2,10),(3,4),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,8),(2,10),(3,4),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,9),(2,10),(3,4),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,10),(2,9),(3,4),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,10),(2,9),(3,5),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,9),(2,10),(3,5),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,8),(2,10),(3,5),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,10),(3,5),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,6),(2,10),(3,5),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,5),(2,10),(3,6),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,4),(2,10),(3,6),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,3),(2,10),(4,6),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,2),(3,10),(4,6),(5,7),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 4
[(1,2),(3,9),(4,6),(5,7),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 4
[(1,3),(2,9),(4,6),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,4),(2,9),(3,6),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,5),(2,9),(3,6),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,6),(2,9),(3,5),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,7),(2,9),(3,5),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,8),(2,9),(3,5),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,9),(2,8),(3,5),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,10),(2,8),(3,5),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,10),(2,7),(3,5),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,9),(2,7),(3,5),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,8),(2,7),(3,5),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,7),(2,8),(3,5),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,6),(2,8),(3,5),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,5),(2,8),(3,6),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,4),(2,8),(3,6),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,3),(2,8),(4,6),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 5
[(1,2),(3,8),(4,6),(5,7),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 5
[(1,2),(3,7),(4,6),(5,8),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 5
[(1,3),(2,7),(4,6),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 5
[(1,4),(2,7),(3,6),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,5),(2,7),(3,6),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,6),(2,7),(3,5),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,7),(2,6),(3,5),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,8),(2,6),(3,5),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,9),(2,6),(3,5),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,10),(2,6),(3,5),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,10),(2,5),(3,6),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,9),(2,5),(3,6),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,8),(2,5),(3,6),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,7),(2,5),(3,6),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,6),(2,5),(3,7),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,5),(2,6),(3,7),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,4),(2,6),(3,7),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,3),(2,6),(4,7),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 5
[(1,2),(3,6),(4,7),(5,8),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 5
[(1,2),(3,5),(4,7),(6,8),(9,10)] => [1,0,1,1,0,1,0,0,1,0] => [5,3,2,4,1] => 5
[(1,3),(2,5),(4,7),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 5
[(1,4),(2,5),(3,7),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 5
[(1,5),(2,4),(3,7),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 5
[(1,6),(2,4),(3,7),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,7),(2,4),(3,6),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,8),(2,4),(3,6),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,9),(2,4),(3,6),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,10),(2,4),(3,6),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,10),(2,3),(4,6),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,9),(2,3),(4,6),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,8),(2,3),(4,6),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 5
[(1,7),(2,3),(4,6),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 5
[(1,6),(2,3),(4,7),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 5
[(1,5),(2,3),(4,7),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 5
[(1,4),(2,3),(5,7),(6,8),(9,10)] => [1,1,0,0,1,1,0,0,1,0] => [5,3,4,1,2] => 5
[(1,3),(2,4),(5,7),(6,8),(9,10)] => [1,1,0,0,1,1,0,0,1,0] => [5,3,4,1,2] => 5
[(1,2),(3,4),(5,7),(6,8),(9,10)] => [1,0,1,0,1,1,0,0,1,0] => [5,3,4,2,1] => 5
[(1,2),(3,4),(5,8),(6,7),(9,10)] => [1,0,1,0,1,1,0,0,1,0] => [5,3,4,2,1] => 5
[(1,3),(2,4),(5,8),(6,7),(9,10)] => [1,1,0,0,1,1,0,0,1,0] => [5,3,4,1,2] => 5
[(1,4),(2,3),(5,8),(6,7),(9,10)] => [1,1,0,0,1,1,0,0,1,0] => [5,3,4,1,2] => 5
[(1,5),(2,3),(4,8),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 5
[(1,6),(2,3),(4,8),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 5
[(1,7),(2,3),(4,8),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 5
[(1,8),(2,3),(4,7),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 5
[(1,9),(2,3),(4,7),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,10),(2,3),(4,7),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,10),(2,4),(3,7),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,9),(2,4),(3,7),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,8),(2,4),(3,7),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,7),(2,4),(3,8),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,6),(2,4),(3,8),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,5),(2,4),(3,8),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 5
[(1,4),(2,5),(3,8),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => 5
[(1,3),(2,5),(4,8),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => 5
[(1,2),(3,5),(4,8),(6,7),(9,10)] => [1,0,1,1,0,1,0,0,1,0] => [5,3,2,4,1] => 5
[(1,2),(3,6),(4,8),(5,7),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 5
[(1,3),(2,6),(4,8),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 5
[(1,4),(2,6),(3,8),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,5),(2,6),(3,8),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,6),(2,5),(3,8),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,7),(2,5),(3,8),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,8),(2,5),(3,7),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,9),(2,5),(3,7),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,10),(2,5),(3,7),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,10),(2,6),(3,7),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,9),(2,6),(3,7),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,8),(2,6),(3,7),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,7),(2,6),(3,8),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,6),(2,7),(3,8),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,5),(2,7),(3,8),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,4),(2,7),(3,8),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,3),(2,7),(4,8),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 5
[(1,2),(3,7),(4,8),(5,6),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 5
[(1,2),(3,8),(4,7),(5,6),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => 5
[(1,3),(2,8),(4,7),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => 5
[(1,4),(2,8),(3,7),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => 5
[(1,5),(2,8),(3,7),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,6),(2,8),(3,7),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,7),(2,8),(3,6),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,8),(2,7),(3,6),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => 5
[(1,9),(2,7),(3,6),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,10),(2,7),(3,6),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,10),(2,8),(3,6),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,9),(2,8),(3,6),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,8),(2,9),(3,6),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,9),(3,6),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,6),(2,9),(3,7),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,5),(2,9),(3,7),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,4),(2,9),(3,7),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,3),(2,9),(4,7),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,2),(3,9),(4,7),(5,6),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 4
[(1,2),(3,10),(4,7),(5,6),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 4
[(1,3),(2,10),(4,7),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,4),(2,10),(3,7),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,5),(2,10),(3,7),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,6),(2,10),(3,7),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,7),(2,10),(3,6),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,8),(2,10),(3,6),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,9),(2,10),(3,6),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,10),(2,9),(3,6),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,10),(2,9),(3,7),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,10),(3,7),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,10),(3,7),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,7),(2,10),(3,8),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,10),(3,8),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,5),(2,10),(3,8),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,4),(2,10),(3,8),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,3),(2,10),(4,8),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,2),(3,10),(4,8),(5,6),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,2),(3,9),(4,8),(5,6),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,3),(2,9),(4,8),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,4),(2,9),(3,8),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,9),(3,8),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,6),(2,9),(3,8),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,9),(3,8),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,9),(3,7),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,8),(3,7),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,8),(3,7),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,7),(3,8),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,7),(3,8),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,7),(3,9),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,7),(2,8),(3,9),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,8),(3,9),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,5),(2,8),(3,9),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,4),(2,8),(3,9),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,3),(2,8),(4,9),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,2),(3,8),(4,9),(5,6),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,2),(3,7),(4,9),(5,6),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 4
[(1,3),(2,7),(4,9),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,4),(2,7),(3,9),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,5),(2,7),(3,9),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,6),(2,7),(3,9),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,7),(2,6),(3,9),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,8),(2,6),(3,9),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,9),(2,6),(3,8),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,10),(2,6),(3,8),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,10),(2,5),(3,8),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,9),(2,5),(3,8),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,8),(2,5),(3,9),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,5),(3,9),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,6),(2,5),(3,9),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,5),(2,6),(3,9),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,4),(2,6),(3,9),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,3),(2,6),(4,9),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,2),(3,6),(4,9),(5,7),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 4
[(1,2),(3,5),(4,9),(6,7),(8,10)] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 4
[(1,3),(2,5),(4,9),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,4),(2,5),(3,9),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,5),(2,4),(3,9),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,6),(2,4),(3,9),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,7),(2,4),(3,9),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,8),(2,4),(3,9),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,9),(2,4),(3,8),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,10),(2,4),(3,8),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,10),(2,3),(4,8),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,9),(2,3),(4,8),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,8),(2,3),(4,9),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,7),(2,3),(4,9),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,6),(2,3),(4,9),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,5),(2,3),(4,9),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,4),(2,3),(5,9),(6,7),(8,10)] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 4
[(1,3),(2,4),(5,9),(6,7),(8,10)] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 4
[(1,2),(3,4),(5,9),(6,7),(8,10)] => [1,0,1,0,1,1,0,1,0,0] => [4,3,5,2,1] => 4
[(1,2),(3,4),(5,10),(6,7),(8,9)] => [1,0,1,0,1,1,0,1,0,0] => [4,3,5,2,1] => 4
[(1,3),(2,4),(5,10),(6,7),(8,9)] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 4
[(1,4),(2,3),(5,10),(6,7),(8,9)] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 4
[(1,5),(2,3),(4,10),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,6),(2,3),(4,10),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,7),(2,3),(4,10),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,8),(2,3),(4,10),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,9),(2,3),(4,10),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,10),(2,3),(4,9),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,10),(2,4),(3,9),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,9),(2,4),(3,10),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,8),(2,4),(3,10),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,7),(2,4),(3,10),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,6),(2,4),(3,10),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,5),(2,4),(3,10),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,4),(2,5),(3,10),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,3),(2,5),(4,10),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,2),(3,5),(4,10),(6,7),(8,9)] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 4
[(1,2),(3,6),(4,10),(5,7),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 4
[(1,3),(2,6),(4,10),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,4),(2,6),(3,10),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,5),(2,6),(3,10),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,6),(2,5),(3,10),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,7),(2,5),(3,10),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,8),(2,5),(3,10),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,9),(2,5),(3,10),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,10),(2,5),(3,9),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,10),(2,6),(3,9),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,9),(2,6),(3,10),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,8),(2,6),(3,10),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,6),(3,10),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,6),(2,7),(3,10),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,5),(2,7),(3,10),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,4),(2,7),(3,10),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,3),(2,7),(4,10),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,2),(3,7),(4,10),(5,6),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 4
[(1,2),(3,8),(4,10),(5,6),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,3),(2,8),(4,10),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,4),(2,8),(3,10),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,8),(3,10),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,6),(2,8),(3,10),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,8),(3,10),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,7),(3,10),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,7),(3,10),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,7),(3,9),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,8),(3,9),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,8),(3,10),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,9),(3,10),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,7),(2,9),(3,10),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,9),(3,10),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,5),(2,9),(3,10),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,4),(2,9),(3,10),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,3),(2,9),(4,10),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,2),(3,9),(4,10),(5,6),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,2),(3,10),(4,9),(5,6),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,3),(2,10),(4,9),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,4),(2,10),(3,9),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,10),(3,9),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,6),(2,10),(3,9),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,10),(3,9),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,10),(3,9),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,10),(3,8),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,9),(3,8),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,9),(3,8),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,10),(3,8),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,10),(3,9),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,10),(3,9),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,6),(2,10),(3,9),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,5),(2,10),(3,9),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,4),(2,10),(3,9),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,3),(2,10),(4,9),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,2),(3,10),(4,9),(5,7),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,2),(3,9),(4,10),(5,7),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,3),(2,9),(4,10),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,4),(2,9),(3,10),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,5),(2,9),(3,10),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,9),(3,10),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,9),(3,10),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,9),(3,10),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,8),(3,10),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,8),(3,9),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,7),(3,9),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,7),(3,10),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,7),(3,10),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,8),(3,10),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,6),(2,8),(3,10),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,5),(2,8),(3,10),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,4),(2,8),(3,10),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,3),(2,8),(4,10),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,2),(3,8),(4,10),(5,7),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,2),(3,7),(4,10),(5,8),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,3),(2,7),(4,10),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,4),(2,7),(3,10),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,5),(2,7),(3,10),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,7),(3,10),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,6),(3,10),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,6),(3,10),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,6),(3,10),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,6),(3,9),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,5),(3,9),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,5),(3,10),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,5),(3,10),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,7),(2,5),(3,10),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,5),(3,10),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,5),(2,6),(3,10),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,4),(2,6),(3,10),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,3),(2,6),(4,10),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,2),(3,6),(4,10),(5,8),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,2),(3,5),(4,10),(6,8),(7,9)] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 3
[(1,3),(2,5),(4,10),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,4),(2,5),(3,10),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,5),(2,4),(3,10),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,6),(2,4),(3,10),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,7),(2,4),(3,10),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,8),(2,4),(3,10),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,9),(2,4),(3,10),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,10),(2,4),(3,9),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,10),(2,3),(4,9),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,9),(2,3),(4,10),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,8),(2,3),(4,10),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,7),(2,3),(4,10),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,6),(2,3),(4,10),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,5),(2,3),(4,10),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,4),(2,3),(5,10),(6,8),(7,9)] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 3
[(1,3),(2,4),(5,10),(6,8),(7,9)] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 3
[(1,2),(3,4),(5,10),(6,8),(7,9)] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 3
[(1,2),(3,4),(5,9),(6,8),(7,10)] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 3
[(1,3),(2,4),(5,9),(6,8),(7,10)] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 3
[(1,4),(2,3),(5,9),(6,8),(7,10)] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 3
[(1,5),(2,3),(4,9),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,6),(2,3),(4,9),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,7),(2,3),(4,9),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,8),(2,3),(4,9),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,9),(2,3),(4,8),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,10),(2,3),(4,8),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,10),(2,4),(3,8),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,9),(2,4),(3,8),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,8),(2,4),(3,9),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,7),(2,4),(3,9),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,6),(2,4),(3,9),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,4),(3,9),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,4),(2,5),(3,9),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,3),(2,5),(4,9),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,2),(3,5),(4,9),(6,8),(7,10)] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 3
[(1,2),(3,6),(4,9),(5,8),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,3),(2,6),(4,9),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,4),(2,6),(3,9),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,6),(3,9),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,6),(2,5),(3,9),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,5),(3,9),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,5),(3,9),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,5),(3,8),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,5),(3,8),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,6),(3,8),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,6),(3,8),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,6),(3,9),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,6),(3,9),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,6),(2,7),(3,9),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,5),(2,7),(3,9),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,4),(2,7),(3,9),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,3),(2,7),(4,9),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,2),(3,7),(4,9),(5,8),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,2),(3,8),(4,9),(5,7),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,3),(2,8),(4,9),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,4),(2,8),(3,9),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,5),(2,8),(3,9),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,8),(3,9),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,8),(3,9),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,7),(3,9),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,7),(3,8),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,7),(3,8),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,8),(3,7),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,8),(3,7),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,9),(3,7),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,9),(3,8),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,6),(2,9),(3,8),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,5),(2,9),(3,8),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,4),(2,9),(3,8),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,3),(2,9),(4,8),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,2),(3,9),(4,8),(5,7),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,2),(3,10),(4,8),(5,7),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,3),(2,10),(4,8),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,4),(2,10),(3,8),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,5),(2,10),(3,8),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,10),(3,8),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,10),(3,8),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,10),(3,7),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,10),(3,7),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,9),(3,7),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,9),(3,6),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,10),(3,6),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,10),(3,6),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,10),(3,6),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,6),(2,10),(3,7),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,5),(2,10),(3,7),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,4),(2,10),(3,7),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,3),(2,10),(4,7),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,2),(3,10),(4,7),(5,8),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,2),(3,9),(4,7),(5,8),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,3),(2,9),(4,7),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,4),(2,9),(3,7),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,5),(2,9),(3,7),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,9),(3,7),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,9),(3,6),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,9),(3,6),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,8),(3,6),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,8),(3,6),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,7),(3,6),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,7),(3,6),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,7),(3,6),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,8),(3,6),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,6),(2,8),(3,7),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,5),(2,8),(3,7),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,4),(2,8),(3,7),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,3),(2,8),(4,7),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,2),(3,8),(4,7),(5,9),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,2),(3,7),(4,8),(5,9),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,3),(2,7),(4,8),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,4),(2,7),(3,8),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,5),(2,7),(3,8),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,7),(3,8),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,6),(3,8),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,6),(3,7),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,6),(3,7),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,6),(3,7),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,5),(3,7),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,5),(3,7),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,5),(3,7),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,7),(2,5),(3,8),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,5),(3,8),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,5),(2,6),(3,8),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,4),(2,6),(3,8),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,3),(2,6),(4,8),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,2),(3,6),(4,8),(5,9),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,2),(3,5),(4,8),(6,9),(7,10)] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 3
[(1,3),(2,5),(4,8),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,4),(2,5),(3,8),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,5),(2,4),(3,8),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,6),(2,4),(3,8),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,7),(2,4),(3,8),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,8),(2,4),(3,7),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,9),(2,4),(3,7),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,10),(2,4),(3,7),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,10),(2,3),(4,7),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,9),(2,3),(4,7),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,8),(2,3),(4,7),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,7),(2,3),(4,8),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,6),(2,3),(4,8),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,5),(2,3),(4,8),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,4),(2,3),(5,8),(6,9),(7,10)] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 3
[(1,3),(2,4),(5,8),(6,9),(7,10)] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 3
[(1,2),(3,4),(5,8),(6,9),(7,10)] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 3
[(1,2),(3,4),(5,7),(6,9),(8,10)] => [1,0,1,0,1,1,0,1,0,0] => [4,3,5,2,1] => 4
[(1,3),(2,4),(5,7),(6,9),(8,10)] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 4
[(1,4),(2,3),(5,7),(6,9),(8,10)] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 4
[(1,5),(2,3),(4,7),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,6),(2,3),(4,7),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,7),(2,3),(4,6),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,8),(2,3),(4,6),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,9),(2,3),(4,6),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,10),(2,3),(4,6),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,10),(2,4),(3,6),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,9),(2,4),(3,6),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,8),(2,4),(3,6),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,7),(2,4),(3,6),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,6),(2,4),(3,7),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,5),(2,4),(3,7),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,4),(2,5),(3,7),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,3),(2,5),(4,7),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,2),(3,5),(4,7),(6,9),(8,10)] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 4
[(1,2),(3,6),(4,7),(5,9),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 4
[(1,3),(2,6),(4,7),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,4),(2,6),(3,7),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,5),(2,6),(3,7),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,6),(2,5),(3,7),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,7),(2,5),(3,6),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,8),(2,5),(3,6),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,9),(2,5),(3,6),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,10),(2,5),(3,6),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,10),(2,6),(3,5),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,9),(2,6),(3,5),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,8),(2,6),(3,5),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,6),(3,5),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,6),(2,7),(3,5),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,5),(2,7),(3,6),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,4),(2,7),(3,6),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,3),(2,7),(4,6),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,2),(3,7),(4,6),(5,9),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 4
[(1,2),(3,8),(4,6),(5,9),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,3),(2,8),(4,6),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,4),(2,8),(3,6),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,8),(3,6),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,6),(2,8),(3,5),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,8),(3,5),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,7),(3,5),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,7),(3,5),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,7),(3,5),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,8),(3,5),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,8),(3,5),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,9),(3,5),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,7),(2,9),(3,5),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,9),(3,5),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,5),(2,9),(3,6),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,4),(2,9),(3,6),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,3),(2,9),(4,6),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,2),(3,9),(4,6),(5,8),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,2),(3,10),(4,6),(5,8),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,3),(2,10),(4,6),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,4),(2,10),(3,6),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,10),(3,6),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,6),(2,10),(3,5),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,10),(3,5),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,10),(3,5),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,10),(3,5),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,9),(3,5),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,9),(3,4),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,9),(2,10),(3,4),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,8),(2,10),(3,4),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,7),(2,10),(3,4),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,6),(2,10),(3,4),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,10),(3,4),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,4),(2,10),(3,5),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,3),(2,10),(4,5),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,2),(3,10),(4,5),(6,8),(7,9)] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 3
[(1,2),(3,9),(4,5),(6,8),(7,10)] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 3
[(1,3),(2,9),(4,5),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,4),(2,9),(3,5),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,5),(2,9),(3,4),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,6),(2,9),(3,4),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,7),(2,9),(3,4),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,8),(2,9),(3,4),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,9),(2,8),(3,4),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,10),(2,8),(3,4),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,10),(2,7),(3,4),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,9),(2,7),(3,4),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,8),(2,7),(3,4),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,7),(2,8),(3,4),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,6),(2,8),(3,4),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,8),(3,4),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,4),(2,8),(3,5),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,3),(2,8),(4,5),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,2),(3,8),(4,5),(6,9),(7,10)] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 3
[(1,2),(3,7),(4,5),(6,9),(8,10)] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 4
[(1,3),(2,7),(4,5),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,4),(2,7),(3,5),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,5),(2,7),(3,4),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,6),(2,7),(3,4),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,7),(2,6),(3,4),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,8),(2,6),(3,4),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,9),(2,6),(3,4),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,10),(2,6),(3,4),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,10),(2,5),(3,4),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,9),(2,5),(3,4),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,8),(2,5),(3,4),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,7),(2,5),(3,4),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,6),(2,5),(3,4),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 4
[(1,5),(2,6),(3,4),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 4
[(1,4),(2,6),(3,5),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 4
[(1,3),(2,6),(4,5),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 4
[(1,2),(3,6),(4,5),(7,9),(8,10)] => [1,0,1,1,0,0,1,1,0,0] => [4,5,2,3,1] => 4
[(1,2),(3,5),(4,6),(7,9),(8,10)] => [1,0,1,1,0,0,1,1,0,0] => [4,5,2,3,1] => 4
[(1,3),(2,5),(4,6),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 4
[(1,4),(2,5),(3,6),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 4
[(1,5),(2,4),(3,6),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 4
[(1,6),(2,4),(3,5),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 4
[(1,7),(2,4),(3,5),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,8),(2,4),(3,5),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,9),(2,4),(3,5),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,10),(2,4),(3,5),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,10),(2,3),(4,5),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,9),(2,3),(4,5),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,8),(2,3),(4,5),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,7),(2,3),(4,5),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,6),(2,3),(4,5),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 4
[(1,5),(2,3),(4,6),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 4
[(1,4),(2,3),(5,6),(7,9),(8,10)] => [1,1,0,0,1,0,1,1,0,0] => [4,5,3,1,2] => 4
[(1,3),(2,4),(5,6),(7,9),(8,10)] => [1,1,0,0,1,0,1,1,0,0] => [4,5,3,1,2] => 4
[(1,2),(3,4),(5,6),(7,9),(8,10)] => [1,0,1,0,1,0,1,1,0,0] => [4,5,3,2,1] => 4
[(1,2),(3,4),(5,6),(7,10),(8,9)] => [1,0,1,0,1,0,1,1,0,0] => [4,5,3,2,1] => 4
[(1,3),(2,4),(5,6),(7,10),(8,9)] => [1,1,0,0,1,0,1,1,0,0] => [4,5,3,1,2] => 4
[(1,4),(2,3),(5,6),(7,10),(8,9)] => [1,1,0,0,1,0,1,1,0,0] => [4,5,3,1,2] => 4
[(1,5),(2,3),(4,6),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 4
[(1,6),(2,3),(4,5),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 4
[(1,7),(2,3),(4,5),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,8),(2,3),(4,5),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,9),(2,3),(4,5),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,10),(2,3),(4,5),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,10),(2,4),(3,5),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,9),(2,4),(3,5),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,8),(2,4),(3,5),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,7),(2,4),(3,5),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,6),(2,4),(3,5),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 4
[(1,5),(2,4),(3,6),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 4
[(1,4),(2,5),(3,6),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 4
[(1,3),(2,5),(4,6),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 4
[(1,2),(3,5),(4,6),(7,10),(8,9)] => [1,0,1,1,0,0,1,1,0,0] => [4,5,2,3,1] => 4
[(1,2),(3,6),(4,5),(7,10),(8,9)] => [1,0,1,1,0,0,1,1,0,0] => [4,5,2,3,1] => 4
[(1,3),(2,6),(4,5),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => 4
[(1,4),(2,6),(3,5),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 4
[(1,5),(2,6),(3,4),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 4
[(1,6),(2,5),(3,4),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => 4
[(1,7),(2,5),(3,4),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,8),(2,5),(3,4),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,9),(2,5),(3,4),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,10),(2,5),(3,4),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,10),(2,6),(3,4),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,9),(2,6),(3,4),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,8),(2,6),(3,4),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,7),(2,6),(3,4),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,6),(2,7),(3,4),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,5),(2,7),(3,4),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,4),(2,7),(3,5),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,3),(2,7),(4,5),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,2),(3,7),(4,5),(6,10),(8,9)] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 4
[(1,2),(3,8),(4,5),(6,10),(7,9)] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 3
[(1,3),(2,8),(4,5),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,4),(2,8),(3,5),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,5),(2,8),(3,4),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,6),(2,8),(3,4),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,7),(2,8),(3,4),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,8),(2,7),(3,4),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,9),(2,7),(3,4),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,10),(2,7),(3,4),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,10),(2,8),(3,4),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,9),(2,8),(3,4),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,8),(2,9),(3,4),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,7),(2,9),(3,4),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,6),(2,9),(3,4),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,9),(3,4),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,4),(2,9),(3,5),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,3),(2,9),(4,5),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,2),(3,9),(4,5),(6,10),(7,8)] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 3
[(1,2),(3,10),(4,5),(6,9),(7,8)] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 3
[(1,3),(2,10),(4,5),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,4),(2,10),(3,5),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,5),(2,10),(3,4),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,6),(2,10),(3,4),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,7),(2,10),(3,4),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,8),(2,10),(3,4),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,9),(2,10),(3,4),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,10),(2,9),(3,4),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,10),(2,9),(3,5),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,10),(3,5),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,10),(3,5),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,7),(2,10),(3,5),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,10),(3,5),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,5),(2,10),(3,6),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,4),(2,10),(3,6),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,3),(2,10),(4,6),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,2),(3,10),(4,6),(5,9),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,2),(3,9),(4,6),(5,10),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,3),(2,9),(4,6),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,4),(2,9),(3,6),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,9),(3,6),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,6),(2,9),(3,5),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,9),(3,5),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,9),(3,5),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,8),(3,5),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,8),(3,5),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,7),(3,5),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,7),(3,5),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,7),(3,5),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,7),(2,8),(3,5),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,8),(3,5),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,5),(2,8),(3,6),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,4),(2,8),(3,6),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,3),(2,8),(4,6),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,2),(3,8),(4,6),(5,10),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,2),(3,7),(4,6),(5,10),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 4
[(1,3),(2,7),(4,6),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,4),(2,7),(3,6),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,5),(2,7),(3,6),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,6),(2,7),(3,5),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,7),(2,6),(3,5),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,8),(2,6),(3,5),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,9),(2,6),(3,5),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,10),(2,6),(3,5),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,10),(2,5),(3,6),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,9),(2,5),(3,6),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,8),(2,5),(3,6),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,5),(3,6),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,6),(2,5),(3,7),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,5),(2,6),(3,7),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => 4
[(1,4),(2,6),(3,7),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,3),(2,6),(4,7),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,2),(3,6),(4,7),(5,10),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => 4
[(1,2),(3,5),(4,7),(6,10),(8,9)] => [1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => 4
[(1,3),(2,5),(4,7),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,4),(2,5),(3,7),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,5),(2,4),(3,7),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => 4
[(1,6),(2,4),(3,7),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,7),(2,4),(3,6),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => 4
[(1,8),(2,4),(3,6),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,9),(2,4),(3,6),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,10),(2,4),(3,6),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,10),(2,3),(4,6),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,9),(2,3),(4,6),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,8),(2,3),(4,6),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,7),(2,3),(4,6),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,6),(2,3),(4,7),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => 4
[(1,5),(2,3),(4,7),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => 4
[(1,4),(2,3),(5,7),(6,10),(8,9)] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 4
[(1,3),(2,4),(5,7),(6,10),(8,9)] => [1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => 4
[(1,2),(3,4),(5,7),(6,10),(8,9)] => [1,0,1,0,1,1,0,1,0,0] => [4,3,5,2,1] => 4
[(1,2),(3,4),(5,8),(6,10),(7,9)] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 3
[(1,3),(2,4),(5,8),(6,10),(7,9)] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 3
[(1,4),(2,3),(5,8),(6,10),(7,9)] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 3
[(1,5),(2,3),(4,8),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,6),(2,3),(4,8),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,7),(2,3),(4,8),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,8),(2,3),(4,7),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,9),(2,3),(4,7),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,10),(2,3),(4,7),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,10),(2,4),(3,7),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,9),(2,4),(3,7),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,8),(2,4),(3,7),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,7),(2,4),(3,8),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,6),(2,4),(3,8),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,4),(3,8),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,4),(2,5),(3,8),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,3),(2,5),(4,8),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,2),(3,5),(4,8),(6,10),(7,9)] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 3
[(1,2),(3,6),(4,8),(5,10),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,3),(2,6),(4,8),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,4),(2,6),(3,8),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,6),(3,8),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,6),(2,5),(3,8),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,5),(3,8),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,5),(3,7),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,5),(3,7),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,5),(3,7),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,6),(3,7),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,6),(3,7),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,6),(3,7),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,6),(3,8),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,6),(2,7),(3,8),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,5),(2,7),(3,8),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,4),(2,7),(3,8),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,3),(2,7),(4,8),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,2),(3,7),(4,8),(5,10),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,2),(3,8),(4,7),(5,10),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,3),(2,8),(4,7),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,4),(2,8),(3,7),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,5),(2,8),(3,7),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,8),(3,7),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,8),(3,6),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,7),(3,6),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,7),(3,6),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,7),(3,6),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,8),(3,6),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,8),(3,6),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,9),(3,6),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,9),(3,6),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,6),(2,9),(3,7),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,5),(2,9),(3,7),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,4),(2,9),(3,7),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,3),(2,9),(4,7),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,2),(3,9),(4,7),(5,10),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,2),(3,10),(4,7),(5,9),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,3),(2,10),(4,7),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,4),(2,10),(3,7),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,5),(2,10),(3,7),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,10),(3,7),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,10),(3,6),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,10),(3,6),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,10),(3,6),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,9),(3,6),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,9),(3,7),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,10),(3,7),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,10),(3,7),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,10),(3,8),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,6),(2,10),(3,8),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,5),(2,10),(3,8),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,4),(2,10),(3,8),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,3),(2,10),(4,8),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,2),(3,10),(4,8),(5,9),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,2),(3,9),(4,8),(5,10),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,3),(2,9),(4,8),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,4),(2,9),(3,8),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,5),(2,9),(3,8),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,9),(3,8),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,9),(3,8),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,9),(3,7),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,8),(3,7),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,8),(3,7),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,7),(3,8),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,7),(3,8),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,7),(3,9),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,8),(3,9),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,6),(2,8),(3,9),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,5),(2,8),(3,9),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,4),(2,8),(3,9),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,3),(2,8),(4,9),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,2),(3,8),(4,9),(5,10),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,2),(3,7),(4,9),(5,10),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,3),(2,7),(4,9),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,4),(2,7),(3,9),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,5),(2,7),(3,9),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,7),(3,9),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,6),(3,9),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,6),(3,9),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,6),(3,8),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,6),(3,8),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,5),(3,8),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,5),(3,8),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,5),(3,9),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,7),(2,5),(3,9),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,5),(3,9),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,5),(2,6),(3,9),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,4),(2,6),(3,9),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,3),(2,6),(4,9),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,2),(3,6),(4,9),(5,10),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,2),(3,5),(4,9),(6,10),(7,8)] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 3
[(1,3),(2,5),(4,9),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,4),(2,5),(3,9),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,5),(2,4),(3,9),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,6),(2,4),(3,9),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,7),(2,4),(3,9),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,8),(2,4),(3,9),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,9),(2,4),(3,8),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,10),(2,4),(3,8),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,10),(2,3),(4,8),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,9),(2,3),(4,8),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,8),(2,3),(4,9),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,7),(2,3),(4,9),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,6),(2,3),(4,9),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,5),(2,3),(4,9),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,4),(2,3),(5,9),(6,10),(7,8)] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 3
[(1,3),(2,4),(5,9),(6,10),(7,8)] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 3
[(1,2),(3,4),(5,9),(6,10),(7,8)] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 3
[(1,2),(3,4),(5,10),(6,9),(7,8)] => [1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => 3
[(1,3),(2,4),(5,10),(6,9),(7,8)] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 3
[(1,4),(2,3),(5,10),(6,9),(7,8)] => [1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => 3
[(1,5),(2,3),(4,10),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,6),(2,3),(4,10),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,7),(2,3),(4,10),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,8),(2,3),(4,10),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,9),(2,3),(4,10),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,10),(2,3),(4,9),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,10),(2,4),(3,9),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,9),(2,4),(3,10),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,8),(2,4),(3,10),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,7),(2,4),(3,10),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,6),(2,4),(3,10),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,4),(3,10),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,4),(2,5),(3,10),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => 3
[(1,3),(2,5),(4,10),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => 3
[(1,2),(3,5),(4,10),(6,9),(7,8)] => [1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => 3
[(1,2),(3,6),(4,10),(5,9),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => 3
[(1,3),(2,6),(4,10),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => 3
[(1,4),(2,6),(3,10),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => 3
[(1,5),(2,6),(3,10),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,6),(2,5),(3,10),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => 3
[(1,7),(2,5),(3,10),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,8),(2,5),(3,10),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,9),(2,5),(3,10),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,5),(3,9),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,10),(2,6),(3,9),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,6),(3,10),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,6),(3,10),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,6),(3,10),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,6),(2,7),(3,10),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,5),(2,7),(3,10),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,4),(2,7),(3,10),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,3),(2,7),(4,10),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,2),(3,7),(4,10),(5,9),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,2),(3,8),(4,10),(5,9),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,3),(2,8),(4,10),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,4),(2,8),(3,10),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,5),(2,8),(3,10),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,8),(3,10),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,8),(3,10),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,7),(3,10),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,7),(3,10),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,7),(3,9),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,8),(3,9),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,8),(3,10),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,9),(3,10),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,9),(3,10),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,6),(2,9),(3,10),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,5),(2,9),(3,10),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,4),(2,9),(3,10),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,3),(2,9),(4,10),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,2),(3,9),(4,10),(5,8),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,2),(3,10),(4,9),(5,8),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 2
[(1,3),(2,10),(4,9),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => 2
[(1,4),(2,10),(3,9),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => 2
[(1,5),(2,10),(3,9),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => 2
[(1,6),(2,10),(3,9),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,7),(2,10),(3,9),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,8),(2,10),(3,9),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,9),(2,10),(3,8),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,10),(2,9),(3,8),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 1
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 1
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [1,0,1,1,1,1,0,0,0,0,1,0] => [6,2,3,4,5,1] => 6
[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [5,2,3,4,1,6] => 5
[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [1,0,1,1,1,1,0,0,0,1,0,0] => [5,2,3,4,6,1] => 5
[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [1,1,0,1,1,1,0,0,0,0,1,0] => [6,2,3,4,1,5] => 6
[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,2,3,1,5,6] => 4
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [1,0,1,0,1,1,0,0,1,0,1,0] => [6,5,3,4,2,1] => 6
[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [4,2,3,5,1,6] => 4
[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => 4
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [1,1,0,0,1,1,0,0,1,0,1,0] => [6,5,3,4,1,2] => 6
[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,3,1,4,6] => 5
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [1,0,1,0,1,1,0,0,1,1,0,0] => [5,6,3,4,2,1] => 5
[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => 6
[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [1,1,0,0,1,1,0,0,1,1,0,0] => [5,6,3,4,1,2] => 5
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,4,5,6] => 3
[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [1,0,1,1,0,1,0,1,0,0,1,0] => [6,4,3,2,5,1] => 6
[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,6] => 5
[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [1,0,1,1,0,1,0,1,0,1,0,0] => [5,4,3,2,6,1] => 5
[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [1,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1,5] => 6
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,4,1,5,6] => 3
[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [1,0,1,0,1,1,0,1,0,0,1,0] => [6,4,3,5,2,1] => 6
[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,2,4,5,1,6] => 3
[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => 3
[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [1,1,0,0,1,1,0,1,0,0,1,0] => [6,4,3,5,1,2] => 6
[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1,2,6] => 5
[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [1,0,1,0,1,1,0,1,0,1,0,0] => [5,4,3,6,2,1] => 5
[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => 6
[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [1,1,0,0,1,1,0,1,0,1,0,0] => [5,4,3,6,1,2] => 5
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,3,5,6] => 4
[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [1,0,1,1,0,1,0,0,1,0,1,0] => [6,5,3,2,4,1] => 6
[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [4,5,3,2,1,6] => 4
[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [1,0,1,1,0,1,0,1,1,0,0,0] => [4,5,3,2,6,1] => 4
[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [1,1,0,1,0,1,0,0,1,0,1,0] => [6,5,3,2,1,4] => 6
[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,3,4,6] => 5
[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [1,0,1,1,0,1,0,0,1,1,0,0] => [5,6,3,2,4,1] => 5
[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => 6
[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [1,1,0,1,0,1,0,0,1,1,0,0] => [5,6,3,2,1,4] => 5
[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [4,5,3,1,2,6] => 4
[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [1,0,1,0,1,1,0,1,1,0,0,0] => [4,5,3,6,2,1] => 4
[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [1,1,1,0,0,1,0,0,1,0,1,0] => [6,5,3,1,2,4] => 6
[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [1,1,0,0,1,1,0,1,1,0,0,0] => [4,5,3,6,1,2] => 4
[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [1,1,1,0,0,1,0,0,1,1,0,0] => [5,6,3,1,2,4] => 5
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => 2
[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [1,0,1,1,1,0,1,0,0,0,1,0] => [6,3,2,4,5,1] => 6
[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [5,3,2,4,1,6] => 5
[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [1,0,1,1,1,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 5
[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [1,1,0,1,1,0,1,0,0,0,1,0] => [6,3,2,4,1,5] => 6
[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,5,6] => 4
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [1,0,1,0,1,0,1,0,1,0,1,0] => [6,5,4,3,2,1] => 6
[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [4,3,2,5,1,6] => 4
[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [1,0,1,1,1,0,1,0,1,0,0,0] => [4,3,2,5,6,1] => 4
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [1,1,0,0,1,0,1,0,1,0,1,0] => [6,5,4,3,1,2] => 6
[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1,4,6] => 5
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [1,0,1,0,1,0,1,0,1,1,0,0] => [5,6,4,3,2,1] => 5
[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [1,1,1,0,1,0,1,0,0,0,1,0] => [6,3,2,1,4,5] => 6
[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [1,1,0,0,1,0,1,0,1,1,0,0] => [5,6,4,3,1,2] => 5
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6] => 2
[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [1,0,1,1,0,1,1,0,0,0,1,0] => [6,3,4,2,5,1] => 6
[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [5,3,4,2,1,6] => 5
[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [1,0,1,1,0,1,1,0,0,1,0,0] => [5,3,4,2,6,1] => 5
[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [1,1,0,1,0,1,1,0,0,0,1,0] => [6,3,4,2,1,5] => 6
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6] => 2
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [1,0,1,0,1,1,1,0,0,0,1,0] => [6,3,4,5,2,1] => 6
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,5,1,6] => 2
[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 2
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [1,1,0,0,1,1,1,0,0,0,1,0] => [6,3,4,5,1,2] => 6
[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [5,3,4,1,2,6] => 5
[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [1,0,1,0,1,1,1,0,0,1,0,0] => [5,3,4,6,2,1] => 5
[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [1,1,1,0,0,1,1,0,0,0,1,0] => [6,3,4,1,2,5] => 6
[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [1,1,0,0,1,1,1,0,0,1,0,0] => [5,3,4,6,1,2] => 5
[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,2,5,6] => 4
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [1,0,1,1,0,0,1,0,1,0,1,0] => [6,5,4,2,3,1] => 6
[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [4,3,5,2,1,6] => 4
[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [1,0,1,1,0,1,1,0,1,0,0,0] => [4,3,5,2,6,1] => 4
[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [1,1,0,1,0,0,1,0,1,0,1,0] => [6,5,4,2,1,3] => 6
[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,2,4,6] => 5
[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [1,0,1,1,0,0,1,0,1,1,0,0] => [5,6,4,2,3,1] => 5
[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => 6
[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [1,1,0,1,0,0,1,0,1,1,0,0] => [5,6,4,2,1,3] => 5
[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [4,3,5,1,2,6] => 4
[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [1,0,1,0,1,1,1,0,1,0,0,0] => [4,3,5,6,2,1] => 4
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [1,1,1,0,0,0,1,0,1,0,1,0] => [6,5,4,1,2,3] => 6
[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [1,1,0,0,1,1,1,0,1,0,0,0] => [4,3,5,6,1,2] => 4
[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [1,1,1,0,0,0,1,0,1,1,0,0] => [5,6,4,1,2,3] => 5
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6] => 3
[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [1,0,1,1,1,0,0,1,0,0,1,0] => [6,4,2,3,5,1] => 6
[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [5,4,2,3,1,6] => 5
[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [1,0,1,1,1,0,0,1,0,1,0,0] => [5,4,2,3,6,1] => 5
[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [1,1,0,1,1,0,0,1,0,0,1,0] => [6,4,2,3,1,5] => 6
[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,2,1,5,6] => 3
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [1,0,1,0,1,0,1,1,0,0,1,0] => [6,4,5,3,2,1] => 6
[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,2,5,1,6] => 3
[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => 3
[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [1,1,0,0,1,0,1,1,0,0,1,0] => [6,4,5,3,1,2] => 6
[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1,3,6] => 5
[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [1,0,1,0,1,0,1,1,0,1,0,0] => [5,4,6,3,2,1] => 5
[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => 6
[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [1,1,0,0,1,0,1,1,0,1,0,0] => [5,4,6,3,1,2] => 5
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,2,3,5,6] => 4
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [1,0,1,1,1,0,0,0,1,0,1,0] => [6,5,2,3,4,1] => 6
[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [4,5,2,3,1,6] => 4
[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [1,0,1,1,1,0,0,1,1,0,0,0] => [4,5,2,3,6,1] => 4
[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [1,1,0,1,1,0,0,0,1,0,1,0] => [6,5,2,3,1,4] => 6
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,4,6] => 5
[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [1,0,1,1,1,0,0,0,1,1,0,0] => [5,6,2,3,4,1] => 5
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [1,1,1,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5] => 6
[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [1,1,0,1,1,0,0,0,1,1,0,0] => [5,6,2,3,1,4] => 5
[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,5,2,1,3,6] => 4
[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [1,0,1,0,1,0,1,1,1,0,0,0] => [4,5,6,3,2,1] => 4
[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [1,1,1,0,1,0,0,0,1,0,1,0] => [6,5,2,1,3,4] => 6
[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [1,1,0,0,1,0,1,1,1,0,0,0] => [4,5,6,3,1,2] => 4
[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [1,1,1,0,1,0,0,0,1,1,0,0] => [5,6,2,1,3,4] => 5
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,1,2,5,6] => 3
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [1,0,1,1,0,0,1,1,0,0,1,0] => [6,4,5,2,3,1] => 6
[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,2,1,6] => 3
[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [1,0,1,1,0,1,1,1,0,0,0,0] => [3,4,5,2,6,1] => 3
[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [1,1,0,1,0,0,1,1,0,0,1,0] => [6,4,5,2,1,3] => 6
[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,2,3,6] => 5
[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [1,0,1,1,0,0,1,1,0,1,0,0] => [5,4,6,2,3,1] => 5
[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [1,1,1,1,0,0,0,1,0,0,1,0] => [6,4,1,2,3,5] => 6
[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [1,1,0,1,0,0,1,1,0,1,0,0] => [5,4,6,2,1,3] => 5
[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6] => 3
[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [1,0,1,0,1,1,1,1,0,0,0,0] => [3,4,5,6,2,1] => 3
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [1,1,1,0,0,0,1,1,0,0,1,0] => [6,4,5,1,2,3] => 6
[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,5,6,1,2] => 3
[(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [1,1,1,0,0,0,1,1,0,1,0,0] => [5,4,6,1,2,3] => 5
[(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,5,1,2,3,6] => 4
[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [1,0,1,1,0,0,1,1,1,0,0,0] => [4,5,6,2,3,1] => 4
[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [1,1,1,1,0,0,0,0,1,0,1,0] => [6,5,1,2,3,4] => 6
[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [1,1,0,1,0,0,1,1,1,0,0,0] => [4,5,6,2,1,3] => 4
[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [1,1,1,1,0,0,0,0,1,1,0,0] => [5,6,1,2,3,4] => 5
[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [1,1,1,0,0,0,1,1,1,0,0,0] => [4,5,6,1,2,3] => 4
[(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 1
[(1,11),(2,3),(4,5),(6,7),(8,9),(10,12)] => [1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,6] => 5
[(1,12),(2,3),(4,5),(6,7),(8,10),(9,11)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [4,5,3,2,1,6] => 4
[(1,11),(2,3),(4,5),(6,7),(8,10),(9,12)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [4,5,3,2,1,6] => 4
[(1,10),(2,3),(4,5),(6,7),(8,11),(9,12)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [4,5,3,2,1,6] => 4
[(1,12),(2,3),(4,5),(6,8),(7,9),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [5,3,4,2,1,6] => 5
[(1,11),(2,3),(4,5),(6,8),(7,9),(10,12)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [5,3,4,2,1,6] => 5
[(1,12),(2,3),(4,5),(6,8),(7,10),(9,11)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [4,3,5,2,1,6] => 4
[(1,11),(2,3),(4,5),(6,8),(7,10),(9,12)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [4,3,5,2,1,6] => 4
[(1,10),(2,3),(4,5),(6,8),(7,11),(9,12)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [4,3,5,2,1,6] => 4
[(1,12),(2,3),(4,5),(6,9),(7,10),(8,11)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,2,1,6] => 3
[(1,11),(2,3),(4,5),(6,9),(7,10),(8,12)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,2,1,6] => 3
[(1,10),(2,3),(4,5),(6,9),(7,11),(8,12)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,2,1,6] => 3
[(1,9),(2,3),(4,5),(6,10),(7,11),(8,12)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,2,1,6] => 3
[(1,12),(2,3),(4,6),(5,7),(8,9),(10,11)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [5,4,2,3,1,6] => 5
[(1,11),(2,3),(4,6),(5,7),(8,9),(10,12)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [5,4,2,3,1,6] => 5
[(1,12),(2,3),(4,6),(5,7),(8,10),(9,11)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [4,5,2,3,1,6] => 4
[(1,11),(2,3),(4,6),(5,7),(8,10),(9,12)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [4,5,2,3,1,6] => 4
[(1,10),(2,3),(4,6),(5,7),(8,11),(9,12)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [4,5,2,3,1,6] => 4
[(1,12),(2,3),(4,6),(5,8),(7,9),(10,11)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [5,3,2,4,1,6] => 5
[(1,11),(2,3),(4,6),(5,8),(7,9),(10,12)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [5,3,2,4,1,6] => 5
[(1,12),(2,3),(4,6),(5,8),(7,10),(9,11)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [4,3,2,5,1,6] => 4
[(1,11),(2,3),(4,6),(5,8),(7,10),(9,12)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [4,3,2,5,1,6] => 4
[(1,10),(2,3),(4,6),(5,8),(7,11),(9,12)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [4,3,2,5,1,6] => 4
[(1,12),(2,3),(4,6),(5,9),(7,10),(8,11)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,2,5,1,6] => 3
[(1,11),(2,3),(4,6),(5,9),(7,10),(8,12)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,2,5,1,6] => 3
[(1,10),(2,3),(4,6),(5,9),(7,11),(8,12)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,2,5,1,6] => 3
[(1,9),(2,3),(4,6),(5,10),(7,11),(8,12)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,2,5,1,6] => 3
[(1,12),(2,3),(4,7),(5,8),(6,9),(10,11)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [5,2,3,4,1,6] => 5
[(1,11),(2,3),(4,7),(5,8),(6,9),(10,12)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [5,2,3,4,1,6] => 5
[(1,12),(2,3),(4,7),(5,8),(6,10),(9,11)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [4,2,3,5,1,6] => 4
[(1,11),(2,3),(4,7),(5,8),(6,10),(9,12)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [4,2,3,5,1,6] => 4
[(1,10),(2,3),(4,7),(5,8),(6,11),(9,12)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [4,2,3,5,1,6] => 4
[(1,12),(2,3),(4,7),(5,9),(6,10),(8,11)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,2,4,5,1,6] => 3
[(1,11),(2,3),(4,7),(5,9),(6,10),(8,12)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,2,4,5,1,6] => 3
[(1,10),(2,3),(4,7),(5,9),(6,11),(8,12)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,2,4,5,1,6] => 3
[(1,9),(2,3),(4,7),(5,10),(6,11),(8,12)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,2,4,5,1,6] => 3
[(1,12),(2,3),(4,8),(5,9),(6,10),(7,11)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,5,1,6] => 2
[(1,11),(2,3),(4,8),(5,9),(6,10),(7,12)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,5,1,6] => 2
[(1,10),(2,3),(4,8),(5,9),(6,11),(7,12)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,5,1,6] => 2
[(1,9),(2,3),(4,8),(5,10),(6,11),(7,12)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,5,1,6] => 2
[(1,8),(2,3),(4,9),(5,10),(6,11),(7,12)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,5,1,6] => 2
[(1,12),(2,4),(3,5),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1,2,6] => 5
[(1,11),(2,4),(3,5),(6,7),(8,9),(10,12)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1,2,6] => 5
[(1,12),(2,4),(3,5),(6,7),(8,10),(9,11)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [4,5,3,1,2,6] => 4
[(1,11),(2,4),(3,5),(6,7),(8,10),(9,12)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [4,5,3,1,2,6] => 4
[(1,10),(2,4),(3,5),(6,7),(8,11),(9,12)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [4,5,3,1,2,6] => 4
[(1,12),(2,4),(3,5),(6,8),(7,9),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [5,3,4,1,2,6] => 5
[(1,11),(2,4),(3,5),(6,8),(7,9),(10,12)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [5,3,4,1,2,6] => 5
[(1,12),(2,4),(3,5),(6,8),(7,10),(9,11)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [4,3,5,1,2,6] => 4
[(1,11),(2,4),(3,5),(6,8),(7,10),(9,12)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [4,3,5,1,2,6] => 4
[(1,10),(2,4),(3,5),(6,8),(7,11),(9,12)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [4,3,5,1,2,6] => 4
[(1,12),(2,4),(3,5),(6,9),(7,10),(8,11)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6] => 3
[(1,11),(2,4),(3,5),(6,9),(7,10),(8,12)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6] => 3
[(1,10),(2,4),(3,5),(6,9),(7,11),(8,12)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6] => 3
[(1,9),(2,4),(3,5),(6,10),(7,11),(8,12)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6] => 3
[(1,12),(2,4),(3,6),(5,7),(8,9),(10,11)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1,3,6] => 5
[(1,11),(2,4),(3,6),(5,7),(8,9),(10,12)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1,3,6] => 5
[(1,12),(2,4),(3,6),(5,7),(8,10),(9,11)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,5,2,1,3,6] => 4
[(1,11),(2,4),(3,6),(5,7),(8,10),(9,12)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,5,2,1,3,6] => 4
[(1,10),(2,4),(3,6),(5,7),(8,11),(9,12)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,5,2,1,3,6] => 4
[(1,12),(2,4),(3,6),(5,8),(7,9),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1,4,6] => 5
[(1,11),(2,4),(3,6),(5,8),(7,9),(10,12)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1,4,6] => 5
[(1,12),(2,4),(3,6),(5,8),(7,10),(9,11)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,5,6] => 4
[(1,11),(2,4),(3,6),(5,8),(7,10),(9,12)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,5,6] => 4
[(1,10),(2,4),(3,6),(5,8),(7,11),(9,12)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,5,6] => 4
[(1,12),(2,4),(3,6),(5,9),(7,10),(8,11)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,2,1,5,6] => 3
[(1,11),(2,4),(3,6),(5,9),(7,10),(8,12)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,2,1,5,6] => 3
[(1,10),(2,4),(3,6),(5,9),(7,11),(8,12)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,2,1,5,6] => 3
[(1,9),(2,4),(3,6),(5,10),(7,11),(8,12)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,2,1,5,6] => 3
[(1,12),(2,4),(3,7),(5,8),(6,9),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,3,1,4,6] => 5
[(1,11),(2,4),(3,7),(5,8),(6,9),(10,12)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,3,1,4,6] => 5
[(1,12),(2,4),(3,7),(5,8),(6,10),(9,11)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,2,3,1,5,6] => 4
[(1,11),(2,4),(3,7),(5,8),(6,10),(9,12)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,2,3,1,5,6] => 4
[(1,10),(2,4),(3,7),(5,8),(6,11),(9,12)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,2,3,1,5,6] => 4
[(1,12),(2,4),(3,7),(5,9),(6,10),(8,11)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,4,1,5,6] => 3
[(1,11),(2,4),(3,7),(5,9),(6,10),(8,12)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,4,1,5,6] => 3
[(1,10),(2,4),(3,7),(5,9),(6,11),(8,12)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,4,1,5,6] => 3
[(1,9),(2,4),(3,7),(5,10),(6,11),(8,12)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,4,1,5,6] => 3
[(1,12),(2,4),(3,8),(5,9),(6,10),(7,11)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6] => 2
[(1,11),(2,4),(3,8),(5,9),(6,10),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6] => 2
[(1,10),(2,4),(3,8),(5,9),(6,11),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6] => 2
[(1,9),(2,4),(3,8),(5,10),(6,11),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6] => 2
[(1,8),(2,4),(3,9),(5,10),(6,11),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6] => 2
[(1,12),(2,5),(3,6),(4,7),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,2,3,6] => 5
[(1,11),(2,5),(3,6),(4,7),(8,9),(10,12)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,2,3,6] => 5
[(1,12),(2,5),(3,6),(4,7),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,5,1,2,3,6] => 4
[(1,11),(2,5),(3,6),(4,7),(8,10),(9,12)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,5,1,2,3,6] => 4
[(1,10),(2,5),(3,6),(4,7),(8,11),(9,12)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,5,1,2,3,6] => 4
[(1,12),(2,5),(3,6),(4,8),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,2,4,6] => 5
[(1,11),(2,5),(3,6),(4,8),(7,9),(10,12)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,2,4,6] => 5
[(1,12),(2,5),(3,6),(4,8),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,2,5,6] => 4
[(1,11),(2,5),(3,6),(4,8),(7,10),(9,12)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,2,5,6] => 4
[(1,10),(2,5),(3,6),(4,8),(7,11),(9,12)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,2,5,6] => 4
[(1,12),(2,5),(3,6),(4,9),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,1,2,5,6] => 3
[(1,11),(2,5),(3,6),(4,9),(7,10),(8,12)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,1,2,5,6] => 3
[(1,10),(2,5),(3,6),(4,9),(7,11),(8,12)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,1,2,5,6] => 3
[(1,9),(2,5),(3,6),(4,10),(7,11),(8,12)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,1,2,5,6] => 3
[(1,12),(2,5),(3,7),(4,8),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,3,4,6] => 5
[(1,11),(2,5),(3,7),(4,8),(6,9),(10,12)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,3,4,6] => 5
[(1,12),(2,5),(3,7),(4,8),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,3,5,6] => 4
[(1,11),(2,5),(3,7),(4,8),(6,10),(9,12)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,3,5,6] => 4
[(1,10),(2,5),(3,7),(4,8),(6,11),(9,12)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,3,5,6] => 4
[(1,12),(2,5),(3,7),(4,9),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,4,5,6] => 3
[(1,11),(2,5),(3,7),(4,9),(6,10),(8,12)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,4,5,6] => 3
[(1,10),(2,5),(3,7),(4,9),(6,11),(8,12)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,4,5,6] => 3
[(1,9),(2,5),(3,7),(4,10),(6,11),(8,12)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,4,5,6] => 3
[(1,12),(2,5),(3,8),(4,9),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6] => 2
[(1,11),(2,5),(3,8),(4,9),(6,10),(7,12)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6] => 2
[(1,10),(2,5),(3,8),(4,9),(6,11),(7,12)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6] => 2
[(1,9),(2,5),(3,8),(4,10),(6,11),(7,12)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6] => 2
[(1,8),(2,5),(3,9),(4,10),(6,11),(7,12)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6] => 2
[(1,12),(2,6),(3,7),(4,8),(5,9),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,4,6] => 5
[(1,11),(2,6),(3,7),(4,8),(5,9),(10,12)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,4,6] => 5
[(1,12),(2,6),(3,7),(4,8),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,2,3,5,6] => 4
[(1,11),(2,6),(3,7),(4,8),(5,10),(9,12)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,2,3,5,6] => 4
[(1,10),(2,6),(3,7),(4,8),(5,11),(9,12)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,2,3,5,6] => 4
[(1,12),(2,6),(3,7),(4,9),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6] => 3
[(1,11),(2,6),(3,7),(4,9),(5,10),(8,12)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6] => 3
[(1,10),(2,6),(3,7),(4,9),(5,11),(8,12)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6] => 3
[(1,9),(2,6),(3,7),(4,10),(5,11),(8,12)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6] => 3
[(1,12),(2,6),(3,8),(4,9),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => 2
[(1,11),(2,6),(3,8),(4,9),(5,10),(7,12)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => 2
[(1,10),(2,6),(3,8),(4,9),(5,11),(7,12)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => 2
[(1,9),(2,6),(3,8),(4,10),(5,11),(7,12)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => 2
[(1,8),(2,6),(3,9),(4,10),(5,11),(7,12)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => 2
[(1,12),(2,7),(3,8),(4,9),(5,10),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 1
[(1,11),(2,7),(3,8),(4,9),(5,10),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 1
[(1,10),(2,7),(3,8),(4,9),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 1
[(1,9),(2,7),(3,8),(4,10),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 1
[(1,8),(2,7),(3,9),(4,10),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 1
[(1,3),(2,12),(4,5),(6,7),(8,9),(10,11)] => [1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,6] => 5
[(1,3),(2,12),(4,5),(6,7),(8,10),(9,11)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [4,5,3,2,1,6] => 4
[(1,3),(2,12),(4,5),(6,8),(7,9),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [5,3,4,2,1,6] => 5
[(1,3),(2,12),(4,5),(6,8),(7,10),(9,11)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [4,3,5,2,1,6] => 4
[(1,3),(2,12),(4,5),(6,9),(7,10),(8,11)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,2,1,6] => 3
[(1,3),(2,12),(4,6),(5,7),(8,9),(10,11)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [5,4,2,3,1,6] => 5
[(1,3),(2,12),(4,6),(5,7),(8,10),(9,11)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [4,5,2,3,1,6] => 4
[(1,3),(2,12),(4,6),(5,8),(7,9),(10,11)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [5,3,2,4,1,6] => 5
[(1,3),(2,12),(4,6),(5,8),(7,10),(9,11)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [4,3,2,5,1,6] => 4
[(1,3),(2,12),(4,6),(5,9),(7,10),(8,11)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,2,5,1,6] => 3
[(1,3),(2,12),(4,7),(5,8),(6,9),(10,11)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [5,2,3,4,1,6] => 5
[(1,3),(2,12),(4,7),(5,8),(6,10),(9,11)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [4,2,3,5,1,6] => 4
[(1,3),(2,12),(4,7),(5,9),(6,10),(8,11)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,2,4,5,1,6] => 3
[(1,3),(2,12),(4,8),(5,9),(6,10),(7,11)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,5,1,6] => 2
[(1,4),(2,12),(3,5),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1,2,6] => 5
[(1,4),(2,12),(3,5),(6,7),(8,10),(9,11)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [4,5,3,1,2,6] => 4
[(1,4),(2,12),(3,5),(6,8),(7,9),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [5,3,4,1,2,6] => 5
[(1,4),(2,12),(3,5),(6,8),(7,10),(9,11)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [4,3,5,1,2,6] => 4
[(1,4),(2,12),(3,5),(6,9),(7,10),(8,11)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6] => 3
[(1,4),(2,12),(3,6),(5,7),(8,9),(10,11)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1,3,6] => 5
[(1,4),(2,12),(3,6),(5,7),(8,10),(9,11)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,5,2,1,3,6] => 4
[(1,4),(2,12),(3,6),(5,8),(7,9),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1,4,6] => 5
[(1,4),(2,12),(3,6),(5,8),(7,10),(9,11)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,5,6] => 4
[(1,4),(2,12),(3,6),(5,9),(7,10),(8,11)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,2,1,5,6] => 3
[(1,4),(2,12),(3,7),(5,8),(6,9),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,3,1,4,6] => 5
[(1,4),(2,12),(3,7),(5,8),(6,10),(9,11)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,2,3,1,5,6] => 4
[(1,4),(2,12),(3,7),(5,9),(6,10),(8,11)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,4,1,5,6] => 3
[(1,4),(2,12),(3,8),(5,9),(6,10),(7,11)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6] => 2
[(1,5),(2,12),(3,6),(4,7),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,2,3,6] => 5
[(1,5),(2,12),(3,6),(4,7),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,5,1,2,3,6] => 4
[(1,5),(2,12),(3,6),(4,8),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,2,4,6] => 5
[(1,5),(2,12),(3,6),(4,8),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,2,5,6] => 4
[(1,5),(2,12),(3,6),(4,9),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,1,2,5,6] => 3
[(1,5),(2,12),(3,7),(4,8),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,3,4,6] => 5
[(1,5),(2,12),(3,7),(4,8),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,3,5,6] => 4
[(1,5),(2,12),(3,7),(4,9),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,4,5,6] => 3
[(1,5),(2,12),(3,8),(4,9),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6] => 2
[(1,6),(2,12),(3,7),(4,8),(5,9),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,4,6] => 5
[(1,6),(2,12),(3,7),(4,8),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,2,3,5,6] => 4
[(1,6),(2,12),(3,7),(4,9),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6] => 3
[(1,6),(2,12),(3,8),(4,9),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => 2
[(1,7),(2,12),(3,8),(4,9),(5,10),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 1
[(1,4),(2,5),(3,12),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1,2,6] => 5
[(1,4),(2,5),(3,12),(6,7),(8,10),(9,11)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [4,5,3,1,2,6] => 4
[(1,4),(2,5),(3,12),(6,8),(7,9),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [5,3,4,1,2,6] => 5
[(1,4),(2,5),(3,12),(6,8),(7,10),(9,11)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [4,3,5,1,2,6] => 4
[(1,4),(2,5),(3,12),(6,9),(7,10),(8,11)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6] => 3
[(1,4),(2,6),(3,12),(5,7),(8,9),(10,11)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1,3,6] => 5
[(1,4),(2,6),(3,12),(5,7),(8,10),(9,11)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,5,2,1,3,6] => 4
[(1,4),(2,6),(3,12),(5,8),(7,9),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1,4,6] => 5
[(1,4),(2,6),(3,12),(5,8),(7,10),(9,11)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,5,6] => 4
[(1,4),(2,6),(3,12),(5,9),(7,10),(8,11)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,2,1,5,6] => 3
[(1,4),(2,7),(3,12),(5,8),(6,9),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,3,1,4,6] => 5
[(1,4),(2,7),(3,12),(5,8),(6,10),(9,11)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,2,3,1,5,6] => 4
[(1,4),(2,7),(3,12),(5,9),(6,10),(8,11)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,4,1,5,6] => 3
[(1,4),(2,8),(3,12),(5,9),(6,10),(7,11)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6] => 2
[(1,5),(2,6),(3,12),(4,7),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,2,3,6] => 5
[(1,5),(2,6),(3,12),(4,7),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,5,1,2,3,6] => 4
[(1,5),(2,6),(3,12),(4,8),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,2,4,6] => 5
[(1,5),(2,6),(3,12),(4,8),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,2,5,6] => 4
[(1,5),(2,6),(3,12),(4,9),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,1,2,5,6] => 3
[(1,5),(2,7),(3,12),(4,8),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,3,4,6] => 5
[(1,5),(2,7),(3,12),(4,8),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,3,5,6] => 4
[(1,5),(2,7),(3,12),(4,9),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,4,5,6] => 3
[(1,5),(2,8),(3,12),(4,9),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6] => 2
[(1,6),(2,7),(3,12),(4,8),(5,9),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,4,6] => 5
[(1,6),(2,7),(3,12),(4,8),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,2,3,5,6] => 4
[(1,6),(2,7),(3,12),(4,9),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6] => 3
[(1,6),(2,8),(3,12),(4,9),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => 2
[(1,7),(2,8),(3,12),(4,9),(5,10),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 1
[(1,5),(2,6),(3,7),(4,12),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,2,3,6] => 5
[(1,5),(2,6),(3,7),(4,12),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,5,1,2,3,6] => 4
[(1,5),(2,6),(3,8),(4,12),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,2,4,6] => 5
[(1,5),(2,6),(3,8),(4,12),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,2,5,6] => 4
[(1,5),(2,6),(3,9),(4,12),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,1,2,5,6] => 3
[(1,5),(2,7),(3,8),(4,12),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,3,4,6] => 5
[(1,5),(2,7),(3,8),(4,12),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,3,5,6] => 4
[(1,5),(2,7),(3,9),(4,12),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,4,5,6] => 3
[(1,5),(2,8),(3,9),(4,12),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6] => 2
[(1,6),(2,7),(3,8),(4,12),(5,9),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,4,6] => 5
[(1,6),(2,7),(3,8),(4,12),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,2,3,5,6] => 4
[(1,6),(2,7),(3,9),(4,12),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6] => 3
[(1,6),(2,8),(3,9),(4,12),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => 2
[(1,7),(2,8),(3,9),(4,12),(5,10),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 1
[(1,6),(2,7),(3,8),(4,9),(5,12),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,4,6] => 5
[(1,6),(2,7),(3,8),(4,10),(5,12),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,2,3,5,6] => 4
[(1,6),(2,7),(3,9),(4,10),(5,12),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6] => 3
[(1,6),(2,8),(3,9),(4,10),(5,12),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => 2
[(1,7),(2,8),(3,9),(4,10),(5,12),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 1
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
2,1 6,6,3 24,36,30,15 120,240,270,210,105
$F_{2} = q$
$F_{4} = 2\ q + q^{2}$
$F_{6} = 6\ q + 6\ q^{2} + 3\ q^{3}$
$F_{8} = 24\ q + 36\ q^{2} + 30\ q^{3} + 15\ q^{4}$
$F_{10} = 120\ q + 240\ q^{2} + 270\ q^{3} + 210\ q^{4} + 105\ q^{5}$
Description
The first entry of the permutation.
This can be described as 1 plus the number of occurrences of the vincular pattern ([2,1], {(0,0),(0,1),(0,2)}), i.e., the first column is shaded, see [1].
This statistic is related to the number of deficiencies St000703The number of deficiencies of a permutation. as follows: consider the arc diagram of a permutation $\pi$ of $n$, together with its rotations, obtained by conjugating with the long cycle $(1,\dots,n)$. Drawing the labels $1$ to $n$ in this order on a circle, and the arcs $(i, \pi(i))$ as straight lines, the rotation of $\pi$ is obtained by replacing each number $i$ by $(i\bmod n) +1$. Then, $\pi(1)-1$ is the number of rotations of $\pi$ where the arc $(1, \pi(1))$ is a deficiency. In particular, if $O(\pi)$ is the orbit of rotations of $\pi$, then the number of deficiencies of $\pi$ equals
$$ \frac{1}{|O(\pi)|}\sum_{\sigma\in O(\pi)} (\sigma(1)-1). $$
This can be described as 1 plus the number of occurrences of the vincular pattern ([2,1], {(0,0),(0,1),(0,2)}), i.e., the first column is shaded, see [1].
This statistic is related to the number of deficiencies St000703The number of deficiencies of a permutation. as follows: consider the arc diagram of a permutation $\pi$ of $n$, together with its rotations, obtained by conjugating with the long cycle $(1,\dots,n)$. Drawing the labels $1$ to $n$ in this order on a circle, and the arcs $(i, \pi(i))$ as straight lines, the rotation of $\pi$ is obtained by replacing each number $i$ by $(i\bmod n) +1$. Then, $\pi(1)-1$ is the number of rotations of $\pi$ where the arc $(1, \pi(1))$ is a deficiency. In particular, if $O(\pi)$ is the orbit of rotations of $\pi$, then the number of deficiencies of $\pi$ equals
$$ \frac{1}{|O(\pi)|}\sum_{\sigma\in O(\pi)} (\sigma(1)-1). $$
Map
to Dyck path
Description
The Dyck path corresponding to the opener-closer sequence of the perfect matching.
Map
to 132-avoiding permutation
Description
Sends a Dyck path to a 132-avoiding permutation.
This bijection is defined in [1, Section 2].
This bijection is defined in [1, Section 2].
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