Identifier
-
Mp00150:
Perfect matchings
—to Dyck path⟶
Dyck paths
Mp00023: Dyck paths —to non-crossing permutation⟶ Permutations
St000352: Permutations ⟶ ℤ
Values
[(1,2)] => [1,0] => [1] => 0
[(1,2),(3,4)] => [1,0,1,0] => [1,2] => 0
[(1,3),(2,4)] => [1,1,0,0] => [2,1] => 1
[(1,4),(2,3)] => [1,1,0,0] => [2,1] => 1
[(1,2),(3,4),(5,6)] => [1,0,1,0,1,0] => [1,2,3] => 0
[(1,3),(2,4),(5,6)] => [1,1,0,0,1,0] => [2,1,3] => 1
[(1,4),(2,3),(5,6)] => [1,1,0,0,1,0] => [2,1,3] => 1
[(1,5),(2,3),(4,6)] => [1,1,0,1,0,0] => [2,3,1] => 1
[(1,6),(2,3),(4,5)] => [1,1,0,1,0,0] => [2,3,1] => 1
[(1,6),(2,4),(3,5)] => [1,1,1,0,0,0] => [3,2,1] => 1
[(1,5),(2,4),(3,6)] => [1,1,1,0,0,0] => [3,2,1] => 1
[(1,4),(2,5),(3,6)] => [1,1,1,0,0,0] => [3,2,1] => 1
[(1,3),(2,5),(4,6)] => [1,1,0,1,0,0] => [2,3,1] => 1
[(1,2),(3,5),(4,6)] => [1,0,1,1,0,0] => [1,3,2] => 0
[(1,2),(3,6),(4,5)] => [1,0,1,1,0,0] => [1,3,2] => 0
[(1,3),(2,6),(4,5)] => [1,1,0,1,0,0] => [2,3,1] => 1
[(1,4),(2,6),(3,5)] => [1,1,1,0,0,0] => [3,2,1] => 1
[(1,5),(2,6),(3,4)] => [1,1,1,0,0,0] => [3,2,1] => 1
[(1,6),(2,5),(3,4)] => [1,1,1,0,0,0] => [3,2,1] => 1
[(1,2),(3,4),(5,6),(7,8)] => [1,0,1,0,1,0,1,0] => [1,2,3,4] => 0
[(1,3),(2,4),(5,6),(7,8)] => [1,1,0,0,1,0,1,0] => [2,1,3,4] => 1
[(1,4),(2,3),(5,6),(7,8)] => [1,1,0,0,1,0,1,0] => [2,1,3,4] => 1
[(1,5),(2,3),(4,6),(7,8)] => [1,1,0,1,0,0,1,0] => [2,3,1,4] => 1
[(1,6),(2,3),(4,5),(7,8)] => [1,1,0,1,0,0,1,0] => [2,3,1,4] => 1
[(1,7),(2,3),(4,5),(6,8)] => [1,1,0,1,0,1,0,0] => [2,3,4,1] => 1
[(1,8),(2,3),(4,5),(6,7)] => [1,1,0,1,0,1,0,0] => [2,3,4,1] => 1
[(1,8),(2,4),(3,5),(6,7)] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[(1,7),(2,4),(3,5),(6,8)] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[(1,6),(2,4),(3,5),(7,8)] => [1,1,1,0,0,0,1,0] => [3,2,1,4] => 1
[(1,5),(2,4),(3,6),(7,8)] => [1,1,1,0,0,0,1,0] => [3,2,1,4] => 1
[(1,4),(2,5),(3,6),(7,8)] => [1,1,1,0,0,0,1,0] => [3,2,1,4] => 1
[(1,3),(2,5),(4,6),(7,8)] => [1,1,0,1,0,0,1,0] => [2,3,1,4] => 1
[(1,2),(3,5),(4,6),(7,8)] => [1,0,1,1,0,0,1,0] => [1,3,2,4] => 0
[(1,2),(3,6),(4,5),(7,8)] => [1,0,1,1,0,0,1,0] => [1,3,2,4] => 0
[(1,3),(2,6),(4,5),(7,8)] => [1,1,0,1,0,0,1,0] => [2,3,1,4] => 1
[(1,4),(2,6),(3,5),(7,8)] => [1,1,1,0,0,0,1,0] => [3,2,1,4] => 1
[(1,5),(2,6),(3,4),(7,8)] => [1,1,1,0,0,0,1,0] => [3,2,1,4] => 1
[(1,6),(2,5),(3,4),(7,8)] => [1,1,1,0,0,0,1,0] => [3,2,1,4] => 1
[(1,7),(2,5),(3,4),(6,8)] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[(1,8),(2,5),(3,4),(6,7)] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[(1,8),(2,6),(3,4),(5,7)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,7),(2,6),(3,4),(5,8)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,6),(2,7),(3,4),(5,8)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,5),(2,7),(3,4),(6,8)] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[(1,4),(2,7),(3,5),(6,8)] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[(1,3),(2,7),(4,5),(6,8)] => [1,1,0,1,0,1,0,0] => [2,3,4,1] => 1
[(1,2),(3,7),(4,5),(6,8)] => [1,0,1,1,0,1,0,0] => [1,3,4,2] => 0
[(1,2),(3,8),(4,5),(6,7)] => [1,0,1,1,0,1,0,0] => [1,3,4,2] => 0
[(1,3),(2,8),(4,5),(6,7)] => [1,1,0,1,0,1,0,0] => [2,3,4,1] => 1
[(1,4),(2,8),(3,5),(6,7)] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[(1,5),(2,8),(3,4),(6,7)] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[(1,6),(2,8),(3,4),(5,7)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,7),(2,8),(3,4),(5,6)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,8),(2,7),(3,4),(5,6)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,8),(2,7),(3,5),(4,6)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,7),(2,8),(3,5),(4,6)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,6),(2,8),(3,5),(4,7)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,5),(2,8),(3,6),(4,7)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,4),(2,8),(3,6),(5,7)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,3),(2,8),(4,6),(5,7)] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[(1,2),(3,8),(4,6),(5,7)] => [1,0,1,1,1,0,0,0] => [1,4,3,2] => 0
[(1,2),(3,7),(4,6),(5,8)] => [1,0,1,1,1,0,0,0] => [1,4,3,2] => 0
[(1,3),(2,7),(4,6),(5,8)] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[(1,4),(2,7),(3,6),(5,8)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,5),(2,7),(3,6),(4,8)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,6),(2,7),(3,5),(4,8)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,7),(2,6),(3,5),(4,8)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,8),(2,6),(3,5),(4,7)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,8),(2,5),(3,6),(4,7)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,7),(2,5),(3,6),(4,8)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,6),(2,5),(3,7),(4,8)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,5),(2,6),(3,7),(4,8)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,4),(2,6),(3,7),(5,8)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,3),(2,6),(4,7),(5,8)] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[(1,2),(3,6),(4,7),(5,8)] => [1,0,1,1,1,0,0,0] => [1,4,3,2] => 0
[(1,2),(3,5),(4,7),(6,8)] => [1,0,1,1,0,1,0,0] => [1,3,4,2] => 0
[(1,3),(2,5),(4,7),(6,8)] => [1,1,0,1,0,1,0,0] => [2,3,4,1] => 1
[(1,4),(2,5),(3,7),(6,8)] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[(1,5),(2,4),(3,7),(6,8)] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[(1,6),(2,4),(3,7),(5,8)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,7),(2,4),(3,6),(5,8)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,8),(2,4),(3,6),(5,7)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,8),(2,3),(4,6),(5,7)] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[(1,7),(2,3),(4,6),(5,8)] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[(1,6),(2,3),(4,7),(5,8)] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[(1,5),(2,3),(4,7),(6,8)] => [1,1,0,1,0,1,0,0] => [2,3,4,1] => 1
[(1,4),(2,3),(5,7),(6,8)] => [1,1,0,0,1,1,0,0] => [2,1,4,3] => 1
[(1,3),(2,4),(5,7),(6,8)] => [1,1,0,0,1,1,0,0] => [2,1,4,3] => 1
[(1,2),(3,4),(5,7),(6,8)] => [1,0,1,0,1,1,0,0] => [1,2,4,3] => 0
[(1,2),(3,4),(5,8),(6,7)] => [1,0,1,0,1,1,0,0] => [1,2,4,3] => 0
[(1,3),(2,4),(5,8),(6,7)] => [1,1,0,0,1,1,0,0] => [2,1,4,3] => 1
[(1,4),(2,3),(5,8),(6,7)] => [1,1,0,0,1,1,0,0] => [2,1,4,3] => 1
[(1,5),(2,3),(4,8),(6,7)] => [1,1,0,1,0,1,0,0] => [2,3,4,1] => 1
[(1,6),(2,3),(4,8),(5,7)] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[(1,7),(2,3),(4,8),(5,6)] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[(1,8),(2,3),(4,7),(5,6)] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[(1,8),(2,4),(3,7),(5,6)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,7),(2,4),(3,8),(5,6)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,6),(2,4),(3,8),(5,7)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,5),(2,4),(3,8),(6,7)] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
[(1,4),(2,5),(3,8),(6,7)] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => 1
>>> Load all 1421 entries. <<<[(1,3),(2,5),(4,8),(6,7)] => [1,1,0,1,0,1,0,0] => [2,3,4,1] => 1
[(1,2),(3,5),(4,8),(6,7)] => [1,0,1,1,0,1,0,0] => [1,3,4,2] => 0
[(1,2),(3,6),(4,8),(5,7)] => [1,0,1,1,1,0,0,0] => [1,4,3,2] => 0
[(1,3),(2,6),(4,8),(5,7)] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[(1,4),(2,6),(3,8),(5,7)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,5),(2,6),(3,8),(4,7)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,6),(2,5),(3,8),(4,7)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,7),(2,5),(3,8),(4,6)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,8),(2,5),(3,7),(4,6)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,8),(2,6),(3,7),(4,5)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,7),(2,6),(3,8),(4,5)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,6),(2,7),(3,8),(4,5)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,5),(2,7),(3,8),(4,6)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,4),(2,7),(3,8),(5,6)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,3),(2,7),(4,8),(5,6)] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[(1,2),(3,7),(4,8),(5,6)] => [1,0,1,1,1,0,0,0] => [1,4,3,2] => 0
[(1,2),(3,8),(4,7),(5,6)] => [1,0,1,1,1,0,0,0] => [1,4,3,2] => 0
[(1,3),(2,8),(4,7),(5,6)] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => 1
[(1,4),(2,8),(3,7),(5,6)] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => 1
[(1,5),(2,8),(3,7),(4,6)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,6),(2,8),(3,7),(4,5)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,7),(2,8),(3,6),(4,5)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,8),(2,7),(3,6),(4,5)] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => 2
[(1,2),(3,4),(5,6),(7,8),(9,10)] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 0
[(1,3),(2,4),(5,6),(7,8),(9,10)] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 1
[(1,4),(2,3),(5,6),(7,8),(9,10)] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 1
[(1,5),(2,3),(4,6),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 1
[(1,6),(2,3),(4,5),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 1
[(1,7),(2,3),(4,5),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[(1,8),(2,3),(4,5),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[(1,9),(2,3),(4,5),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,10),(2,3),(4,5),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,10),(2,4),(3,5),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,9),(2,4),(3,5),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,8),(2,4),(3,5),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[(1,7),(2,4),(3,5),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[(1,6),(2,4),(3,5),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => 1
[(1,5),(2,4),(3,6),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => 1
[(1,4),(2,5),(3,6),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => 1
[(1,3),(2,5),(4,6),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 1
[(1,2),(3,5),(4,6),(7,8),(9,10)] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 0
[(1,2),(3,6),(4,5),(7,8),(9,10)] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 0
[(1,3),(2,6),(4,5),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 1
[(1,4),(2,6),(3,5),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => 1
[(1,5),(2,6),(3,4),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => 1
[(1,6),(2,5),(3,4),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => 1
[(1,7),(2,5),(3,4),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[(1,8),(2,5),(3,4),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[(1,9),(2,5),(3,4),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,10),(2,5),(3,4),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,10),(2,6),(3,4),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,9),(2,6),(3,4),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,8),(2,6),(3,4),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,7),(2,6),(3,4),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,6),(2,7),(3,4),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,5),(2,7),(3,4),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[(1,4),(2,7),(3,5),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[(1,3),(2,7),(4,5),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[(1,2),(3,7),(4,5),(6,8),(9,10)] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 0
[(1,2),(3,8),(4,5),(6,7),(9,10)] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 0
[(1,3),(2,8),(4,5),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[(1,4),(2,8),(3,5),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[(1,5),(2,8),(3,4),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[(1,6),(2,8),(3,4),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,7),(2,8),(3,4),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,8),(2,7),(3,4),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,9),(2,7),(3,4),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,10),(2,7),(3,4),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,10),(2,8),(3,4),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,9),(2,8),(3,4),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,8),(2,9),(3,4),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,7),(2,9),(3,4),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,6),(2,9),(3,4),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,5),(2,9),(3,4),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,4),(2,9),(3,5),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,3),(2,9),(4,5),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,2),(3,9),(4,5),(6,7),(8,10)] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 0
[(1,2),(3,10),(4,5),(6,7),(8,9)] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 0
[(1,3),(2,10),(4,5),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,4),(2,10),(3,5),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,5),(2,10),(3,4),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,6),(2,10),(3,4),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,7),(2,10),(3,4),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,8),(2,10),(3,4),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,9),(2,10),(3,4),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,10),(2,9),(3,4),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,10),(2,9),(3,5),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,9),(2,10),(3,5),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,8),(2,10),(3,5),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,10),(3,5),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,6),(2,10),(3,5),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,5),(2,10),(3,6),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,4),(2,10),(3,6),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,3),(2,10),(4,6),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,2),(3,10),(4,6),(5,7),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 0
[(1,2),(3,9),(4,6),(5,7),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 0
[(1,3),(2,9),(4,6),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,4),(2,9),(3,6),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,5),(2,9),(3,6),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,6),(2,9),(3,5),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,7),(2,9),(3,5),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,8),(2,9),(3,5),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,9),(2,8),(3,5),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,10),(2,8),(3,5),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,10),(2,7),(3,5),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,9),(2,7),(3,5),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,8),(2,7),(3,5),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,7),(2,8),(3,5),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,6),(2,8),(3,5),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,5),(2,8),(3,6),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,4),(2,8),(3,6),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,3),(2,8),(4,6),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[(1,2),(3,8),(4,6),(5,7),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 0
[(1,2),(3,7),(4,6),(5,8),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 0
[(1,3),(2,7),(4,6),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[(1,4),(2,7),(3,6),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,5),(2,7),(3,6),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,6),(2,7),(3,5),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,7),(2,6),(3,5),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,8),(2,6),(3,5),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,9),(2,6),(3,5),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,10),(2,6),(3,5),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,10),(2,5),(3,6),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,9),(2,5),(3,6),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,8),(2,5),(3,6),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,7),(2,5),(3,6),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,6),(2,5),(3,7),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,5),(2,6),(3,7),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,4),(2,6),(3,7),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,3),(2,6),(4,7),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[(1,2),(3,6),(4,7),(5,8),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 0
[(1,2),(3,5),(4,7),(6,8),(9,10)] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 0
[(1,3),(2,5),(4,7),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[(1,4),(2,5),(3,7),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[(1,5),(2,4),(3,7),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[(1,6),(2,4),(3,7),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,7),(2,4),(3,6),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,8),(2,4),(3,6),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,9),(2,4),(3,6),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,10),(2,4),(3,6),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,10),(2,3),(4,6),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,9),(2,3),(4,6),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,8),(2,3),(4,6),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[(1,7),(2,3),(4,6),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[(1,6),(2,3),(4,7),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[(1,5),(2,3),(4,7),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[(1,4),(2,3),(5,7),(6,8),(9,10)] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 1
[(1,3),(2,4),(5,7),(6,8),(9,10)] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 1
[(1,2),(3,4),(5,7),(6,8),(9,10)] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 0
[(1,2),(3,4),(5,8),(6,7),(9,10)] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 0
[(1,3),(2,4),(5,8),(6,7),(9,10)] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 1
[(1,4),(2,3),(5,8),(6,7),(9,10)] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 1
[(1,5),(2,3),(4,8),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[(1,6),(2,3),(4,8),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[(1,7),(2,3),(4,8),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[(1,8),(2,3),(4,7),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[(1,9),(2,3),(4,7),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,10),(2,3),(4,7),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,10),(2,4),(3,7),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,9),(2,4),(3,7),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,8),(2,4),(3,7),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,7),(2,4),(3,8),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,6),(2,4),(3,8),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,5),(2,4),(3,8),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[(1,4),(2,5),(3,8),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 1
[(1,3),(2,5),(4,8),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 1
[(1,2),(3,5),(4,8),(6,7),(9,10)] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 0
[(1,2),(3,6),(4,8),(5,7),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 0
[(1,3),(2,6),(4,8),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[(1,4),(2,6),(3,8),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,5),(2,6),(3,8),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,6),(2,5),(3,8),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,7),(2,5),(3,8),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,8),(2,5),(3,7),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,9),(2,5),(3,7),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,10),(2,5),(3,7),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,10),(2,6),(3,7),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,9),(2,6),(3,7),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,8),(2,6),(3,7),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,7),(2,6),(3,8),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,6),(2,7),(3,8),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,5),(2,7),(3,8),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,4),(2,7),(3,8),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,3),(2,7),(4,8),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[(1,2),(3,7),(4,8),(5,6),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 0
[(1,2),(3,8),(4,7),(5,6),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 0
[(1,3),(2,8),(4,7),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 1
[(1,4),(2,8),(3,7),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => 1
[(1,5),(2,8),(3,7),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,6),(2,8),(3,7),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,7),(2,8),(3,6),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,8),(2,7),(3,6),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 2
[(1,9),(2,7),(3,6),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,10),(2,7),(3,6),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,10),(2,8),(3,6),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,9),(2,8),(3,6),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,8),(2,9),(3,6),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,9),(3,6),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,6),(2,9),(3,7),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,5),(2,9),(3,7),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,4),(2,9),(3,7),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,3),(2,9),(4,7),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,2),(3,9),(4,7),(5,6),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 0
[(1,2),(3,10),(4,7),(5,6),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 0
[(1,3),(2,10),(4,7),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,4),(2,10),(3,7),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,5),(2,10),(3,7),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,6),(2,10),(3,7),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,7),(2,10),(3,6),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,8),(2,10),(3,6),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,9),(2,10),(3,6),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,10),(2,9),(3,6),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,10),(2,9),(3,7),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,10),(3,7),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,10),(3,7),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,7),(2,10),(3,8),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,10),(3,8),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,5),(2,10),(3,8),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,4),(2,10),(3,8),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,3),(2,10),(4,8),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,2),(3,10),(4,8),(5,6),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,2),(3,9),(4,8),(5,6),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,3),(2,9),(4,8),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,4),(2,9),(3,8),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,9),(3,8),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,6),(2,9),(3,8),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,9),(3,8),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,9),(3,7),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,8),(3,7),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,8),(3,7),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,7),(3,8),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,7),(3,8),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,7),(3,9),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,7),(2,8),(3,9),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,8),(3,9),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,5),(2,8),(3,9),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,4),(2,8),(3,9),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,3),(2,8),(4,9),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,2),(3,8),(4,9),(5,6),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,2),(3,7),(4,9),(5,6),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 0
[(1,3),(2,7),(4,9),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,4),(2,7),(3,9),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,5),(2,7),(3,9),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,6),(2,7),(3,9),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,7),(2,6),(3,9),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,8),(2,6),(3,9),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,9),(2,6),(3,8),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,10),(2,6),(3,8),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,10),(2,5),(3,8),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,9),(2,5),(3,8),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,8),(2,5),(3,9),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,5),(3,9),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,6),(2,5),(3,9),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,5),(2,6),(3,9),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,4),(2,6),(3,9),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,3),(2,6),(4,9),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,2),(3,6),(4,9),(5,7),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 0
[(1,2),(3,5),(4,9),(6,7),(8,10)] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 0
[(1,3),(2,5),(4,9),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,4),(2,5),(3,9),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,5),(2,4),(3,9),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,6),(2,4),(3,9),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,7),(2,4),(3,9),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,8),(2,4),(3,9),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,9),(2,4),(3,8),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,10),(2,4),(3,8),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,10),(2,3),(4,8),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,9),(2,3),(4,8),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,8),(2,3),(4,9),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,7),(2,3),(4,9),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,6),(2,3),(4,9),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,5),(2,3),(4,9),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,4),(2,3),(5,9),(6,7),(8,10)] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 1
[(1,3),(2,4),(5,9),(6,7),(8,10)] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 1
[(1,2),(3,4),(5,9),(6,7),(8,10)] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 0
[(1,2),(3,4),(5,10),(6,7),(8,9)] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 0
[(1,3),(2,4),(5,10),(6,7),(8,9)] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 1
[(1,4),(2,3),(5,10),(6,7),(8,9)] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 1
[(1,5),(2,3),(4,10),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,6),(2,3),(4,10),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,7),(2,3),(4,10),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,8),(2,3),(4,10),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,9),(2,3),(4,10),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,10),(2,3),(4,9),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,10),(2,4),(3,9),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,9),(2,4),(3,10),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,8),(2,4),(3,10),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,7),(2,4),(3,10),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,6),(2,4),(3,10),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,5),(2,4),(3,10),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,4),(2,5),(3,10),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,3),(2,5),(4,10),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,2),(3,5),(4,10),(6,7),(8,9)] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 0
[(1,2),(3,6),(4,10),(5,7),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 0
[(1,3),(2,6),(4,10),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,4),(2,6),(3,10),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,5),(2,6),(3,10),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,6),(2,5),(3,10),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,7),(2,5),(3,10),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,8),(2,5),(3,10),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,9),(2,5),(3,10),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,10),(2,5),(3,9),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,10),(2,6),(3,9),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,9),(2,6),(3,10),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,8),(2,6),(3,10),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,6),(3,10),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,6),(2,7),(3,10),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,5),(2,7),(3,10),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,4),(2,7),(3,10),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,3),(2,7),(4,10),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,2),(3,7),(4,10),(5,6),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 0
[(1,2),(3,8),(4,10),(5,6),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,3),(2,8),(4,10),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,4),(2,8),(3,10),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,8),(3,10),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,6),(2,8),(3,10),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,8),(3,10),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,7),(3,10),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,7),(3,10),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,7),(3,9),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,8),(3,9),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,8),(3,10),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,9),(3,10),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,7),(2,9),(3,10),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,9),(3,10),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,5),(2,9),(3,10),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,4),(2,9),(3,10),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,3),(2,9),(4,10),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,2),(3,9),(4,10),(5,6),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,2),(3,10),(4,9),(5,6),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,3),(2,10),(4,9),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,4),(2,10),(3,9),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,10),(3,9),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,6),(2,10),(3,9),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,10),(3,9),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,10),(3,9),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,10),(3,8),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,9),(3,8),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,9),(3,8),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,10),(3,8),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,10),(3,9),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,10),(3,9),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,6),(2,10),(3,9),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,5),(2,10),(3,9),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,4),(2,10),(3,9),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,3),(2,10),(4,9),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,2),(3,10),(4,9),(5,7),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,2),(3,9),(4,10),(5,7),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,3),(2,9),(4,10),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,4),(2,9),(3,10),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,5),(2,9),(3,10),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,9),(3,10),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,9),(3,10),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,9),(3,10),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,8),(3,10),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,8),(3,9),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,7),(3,9),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,7),(3,10),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,7),(3,10),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,8),(3,10),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,6),(2,8),(3,10),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,5),(2,8),(3,10),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,4),(2,8),(3,10),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,3),(2,8),(4,10),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,2),(3,8),(4,10),(5,7),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,2),(3,7),(4,10),(5,8),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,3),(2,7),(4,10),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,4),(2,7),(3,10),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,5),(2,7),(3,10),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,7),(3,10),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,6),(3,10),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,6),(3,10),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,6),(3,10),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,6),(3,9),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,5),(3,9),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,5),(3,10),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,5),(3,10),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,7),(2,5),(3,10),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,5),(3,10),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,5),(2,6),(3,10),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,4),(2,6),(3,10),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,3),(2,6),(4,10),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,2),(3,6),(4,10),(5,8),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,2),(3,5),(4,10),(6,8),(7,9)] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 0
[(1,3),(2,5),(4,10),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,4),(2,5),(3,10),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,5),(2,4),(3,10),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,6),(2,4),(3,10),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,7),(2,4),(3,10),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,8),(2,4),(3,10),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,9),(2,4),(3,10),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,10),(2,4),(3,9),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,10),(2,3),(4,9),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,9),(2,3),(4,10),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,8),(2,3),(4,10),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,7),(2,3),(4,10),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,6),(2,3),(4,10),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,5),(2,3),(4,10),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,4),(2,3),(5,10),(6,8),(7,9)] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[(1,3),(2,4),(5,10),(6,8),(7,9)] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[(1,2),(3,4),(5,10),(6,8),(7,9)] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 0
[(1,2),(3,4),(5,9),(6,8),(7,10)] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 0
[(1,3),(2,4),(5,9),(6,8),(7,10)] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[(1,4),(2,3),(5,9),(6,8),(7,10)] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[(1,5),(2,3),(4,9),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,6),(2,3),(4,9),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,7),(2,3),(4,9),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,8),(2,3),(4,9),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,9),(2,3),(4,8),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,10),(2,3),(4,8),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,10),(2,4),(3,8),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,9),(2,4),(3,8),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,8),(2,4),(3,9),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,7),(2,4),(3,9),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,6),(2,4),(3,9),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,4),(3,9),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,4),(2,5),(3,9),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,3),(2,5),(4,9),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,2),(3,5),(4,9),(6,8),(7,10)] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 0
[(1,2),(3,6),(4,9),(5,8),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,3),(2,6),(4,9),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,4),(2,6),(3,9),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,6),(3,9),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,6),(2,5),(3,9),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,5),(3,9),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,5),(3,9),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,5),(3,8),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,5),(3,8),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,6),(3,8),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,6),(3,8),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,6),(3,9),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,6),(3,9),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,6),(2,7),(3,9),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,5),(2,7),(3,9),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,4),(2,7),(3,9),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,3),(2,7),(4,9),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,2),(3,7),(4,9),(5,8),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,2),(3,8),(4,9),(5,7),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,3),(2,8),(4,9),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,4),(2,8),(3,9),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,5),(2,8),(3,9),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,8),(3,9),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,8),(3,9),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,7),(3,9),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,7),(3,8),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,7),(3,8),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,8),(3,7),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,8),(3,7),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,9),(3,7),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,9),(3,8),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,6),(2,9),(3,8),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,5),(2,9),(3,8),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,4),(2,9),(3,8),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,3),(2,9),(4,8),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,2),(3,9),(4,8),(5,7),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,2),(3,10),(4,8),(5,7),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,3),(2,10),(4,8),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,4),(2,10),(3,8),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,5),(2,10),(3,8),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,10),(3,8),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,10),(3,8),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,10),(3,7),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,10),(3,7),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,9),(3,7),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,9),(3,6),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,10),(3,6),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,10),(3,6),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,10),(3,6),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,6),(2,10),(3,7),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,5),(2,10),(3,7),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,4),(2,10),(3,7),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,3),(2,10),(4,7),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,2),(3,10),(4,7),(5,8),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,2),(3,9),(4,7),(5,8),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,3),(2,9),(4,7),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,4),(2,9),(3,7),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,5),(2,9),(3,7),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,9),(3,7),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,9),(3,6),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,9),(3,6),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,8),(3,6),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,8),(3,6),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,7),(3,6),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,7),(3,6),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,7),(3,6),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,8),(3,6),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,6),(2,8),(3,7),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,5),(2,8),(3,7),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,4),(2,8),(3,7),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,3),(2,8),(4,7),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,2),(3,8),(4,7),(5,9),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,2),(3,7),(4,8),(5,9),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,3),(2,7),(4,8),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,4),(2,7),(3,8),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,5),(2,7),(3,8),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,7),(3,8),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,6),(3,8),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,6),(3,7),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,6),(3,7),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,6),(3,7),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,5),(3,7),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,5),(3,7),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,5),(3,7),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,7),(2,5),(3,8),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,5),(3,8),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,5),(2,6),(3,8),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,4),(2,6),(3,8),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,3),(2,6),(4,8),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,2),(3,6),(4,8),(5,9),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,2),(3,5),(4,8),(6,9),(7,10)] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 0
[(1,3),(2,5),(4,8),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,4),(2,5),(3,8),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,5),(2,4),(3,8),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,6),(2,4),(3,8),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,7),(2,4),(3,8),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,8),(2,4),(3,7),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,9),(2,4),(3,7),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,10),(2,4),(3,7),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,10),(2,3),(4,7),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,9),(2,3),(4,7),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,8),(2,3),(4,7),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,7),(2,3),(4,8),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,6),(2,3),(4,8),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,5),(2,3),(4,8),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,4),(2,3),(5,8),(6,9),(7,10)] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[(1,3),(2,4),(5,8),(6,9),(7,10)] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[(1,2),(3,4),(5,8),(6,9),(7,10)] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 0
[(1,2),(3,4),(5,7),(6,9),(8,10)] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 0
[(1,3),(2,4),(5,7),(6,9),(8,10)] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 1
[(1,4),(2,3),(5,7),(6,9),(8,10)] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 1
[(1,5),(2,3),(4,7),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,6),(2,3),(4,7),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,7),(2,3),(4,6),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,8),(2,3),(4,6),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,9),(2,3),(4,6),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,10),(2,3),(4,6),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,10),(2,4),(3,6),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,9),(2,4),(3,6),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,8),(2,4),(3,6),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,7),(2,4),(3,6),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,6),(2,4),(3,7),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,5),(2,4),(3,7),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,4),(2,5),(3,7),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,3),(2,5),(4,7),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,2),(3,5),(4,7),(6,9),(8,10)] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 0
[(1,2),(3,6),(4,7),(5,9),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 0
[(1,3),(2,6),(4,7),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,4),(2,6),(3,7),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,5),(2,6),(3,7),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,6),(2,5),(3,7),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,7),(2,5),(3,6),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,8),(2,5),(3,6),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,9),(2,5),(3,6),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,10),(2,5),(3,6),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,10),(2,6),(3,5),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,9),(2,6),(3,5),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,8),(2,6),(3,5),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,6),(3,5),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,6),(2,7),(3,5),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,5),(2,7),(3,6),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,4),(2,7),(3,6),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,3),(2,7),(4,6),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,2),(3,7),(4,6),(5,9),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 0
[(1,2),(3,8),(4,6),(5,9),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,3),(2,8),(4,6),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,4),(2,8),(3,6),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,8),(3,6),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,6),(2,8),(3,5),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,8),(3,5),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,7),(3,5),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,7),(3,5),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,7),(3,5),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,8),(3,5),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,8),(3,5),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,9),(3,5),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,7),(2,9),(3,5),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,9),(3,5),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,5),(2,9),(3,6),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,4),(2,9),(3,6),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,3),(2,9),(4,6),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,2),(3,9),(4,6),(5,8),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,2),(3,10),(4,6),(5,8),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,3),(2,10),(4,6),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,4),(2,10),(3,6),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,10),(3,6),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,6),(2,10),(3,5),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,10),(3,5),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,10),(3,5),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,10),(3,5),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,9),(3,5),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,9),(3,4),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,9),(2,10),(3,4),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,8),(2,10),(3,4),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,7),(2,10),(3,4),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,6),(2,10),(3,4),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,10),(3,4),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,4),(2,10),(3,5),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,3),(2,10),(4,5),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,2),(3,10),(4,5),(6,8),(7,9)] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 0
[(1,2),(3,9),(4,5),(6,8),(7,10)] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 0
[(1,3),(2,9),(4,5),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,4),(2,9),(3,5),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,5),(2,9),(3,4),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,6),(2,9),(3,4),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,7),(2,9),(3,4),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,8),(2,9),(3,4),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,9),(2,8),(3,4),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,10),(2,8),(3,4),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,10),(2,7),(3,4),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,9),(2,7),(3,4),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,8),(2,7),(3,4),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,7),(2,8),(3,4),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,6),(2,8),(3,4),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,8),(3,4),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,4),(2,8),(3,5),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,3),(2,8),(4,5),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,2),(3,8),(4,5),(6,9),(7,10)] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 0
[(1,2),(3,7),(4,5),(6,9),(8,10)] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 0
[(1,3),(2,7),(4,5),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,4),(2,7),(3,5),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,5),(2,7),(3,4),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,6),(2,7),(3,4),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,7),(2,6),(3,4),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,8),(2,6),(3,4),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,9),(2,6),(3,4),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,10),(2,6),(3,4),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,10),(2,5),(3,4),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,9),(2,5),(3,4),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,8),(2,5),(3,4),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,7),(2,5),(3,4),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,6),(2,5),(3,4),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[(1,5),(2,6),(3,4),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[(1,4),(2,6),(3,5),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[(1,3),(2,6),(4,5),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 1
[(1,2),(3,6),(4,5),(7,9),(8,10)] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 0
[(1,2),(3,5),(4,6),(7,9),(8,10)] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 0
[(1,3),(2,5),(4,6),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 1
[(1,4),(2,5),(3,6),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[(1,5),(2,4),(3,6),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[(1,6),(2,4),(3,5),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[(1,7),(2,4),(3,5),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,8),(2,4),(3,5),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,9),(2,4),(3,5),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,10),(2,4),(3,5),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,10),(2,3),(4,5),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,9),(2,3),(4,5),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,8),(2,3),(4,5),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,7),(2,3),(4,5),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,6),(2,3),(4,5),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 1
[(1,5),(2,3),(4,6),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 1
[(1,4),(2,3),(5,6),(7,9),(8,10)] => [1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => 1
[(1,3),(2,4),(5,6),(7,9),(8,10)] => [1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => 1
[(1,2),(3,4),(5,6),(7,9),(8,10)] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 0
[(1,2),(3,4),(5,6),(7,10),(8,9)] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 0
[(1,3),(2,4),(5,6),(7,10),(8,9)] => [1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => 1
[(1,4),(2,3),(5,6),(7,10),(8,9)] => [1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => 1
[(1,5),(2,3),(4,6),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 1
[(1,6),(2,3),(4,5),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 1
[(1,7),(2,3),(4,5),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,8),(2,3),(4,5),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,9),(2,3),(4,5),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,10),(2,3),(4,5),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,10),(2,4),(3,5),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,9),(2,4),(3,5),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,8),(2,4),(3,5),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,7),(2,4),(3,5),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,6),(2,4),(3,5),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[(1,5),(2,4),(3,6),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[(1,4),(2,5),(3,6),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[(1,3),(2,5),(4,6),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 1
[(1,2),(3,5),(4,6),(7,10),(8,9)] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 0
[(1,2),(3,6),(4,5),(7,10),(8,9)] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 0
[(1,3),(2,6),(4,5),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 1
[(1,4),(2,6),(3,5),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[(1,5),(2,6),(3,4),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[(1,6),(2,5),(3,4),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 1
[(1,7),(2,5),(3,4),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,8),(2,5),(3,4),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,9),(2,5),(3,4),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,10),(2,5),(3,4),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,10),(2,6),(3,4),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,9),(2,6),(3,4),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,8),(2,6),(3,4),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,7),(2,6),(3,4),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,6),(2,7),(3,4),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,5),(2,7),(3,4),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,4),(2,7),(3,5),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,3),(2,7),(4,5),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,2),(3,7),(4,5),(6,10),(8,9)] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 0
[(1,2),(3,8),(4,5),(6,10),(7,9)] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 0
[(1,3),(2,8),(4,5),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,4),(2,8),(3,5),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,5),(2,8),(3,4),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,6),(2,8),(3,4),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,7),(2,8),(3,4),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,8),(2,7),(3,4),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,9),(2,7),(3,4),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,10),(2,7),(3,4),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,10),(2,8),(3,4),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,9),(2,8),(3,4),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,8),(2,9),(3,4),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,7),(2,9),(3,4),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,6),(2,9),(3,4),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,9),(3,4),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,4),(2,9),(3,5),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,3),(2,9),(4,5),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,2),(3,9),(4,5),(6,10),(7,8)] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 0
[(1,2),(3,10),(4,5),(6,9),(7,8)] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 0
[(1,3),(2,10),(4,5),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,4),(2,10),(3,5),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,5),(2,10),(3,4),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,6),(2,10),(3,4),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,7),(2,10),(3,4),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,8),(2,10),(3,4),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,9),(2,10),(3,4),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,10),(2,9),(3,4),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,10),(2,9),(3,5),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,10),(3,5),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,10),(3,5),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,7),(2,10),(3,5),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,10),(3,5),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,5),(2,10),(3,6),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,4),(2,10),(3,6),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,3),(2,10),(4,6),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,2),(3,10),(4,6),(5,9),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,2),(3,9),(4,6),(5,10),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,3),(2,9),(4,6),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,4),(2,9),(3,6),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,9),(3,6),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,6),(2,9),(3,5),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,9),(3,5),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,9),(3,5),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,8),(3,5),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,8),(3,5),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,7),(3,5),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,7),(3,5),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,7),(3,5),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,7),(2,8),(3,5),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,8),(3,5),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,5),(2,8),(3,6),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,4),(2,8),(3,6),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,3),(2,8),(4,6),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,2),(3,8),(4,6),(5,10),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,2),(3,7),(4,6),(5,10),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 0
[(1,3),(2,7),(4,6),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,4),(2,7),(3,6),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,5),(2,7),(3,6),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,6),(2,7),(3,5),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,7),(2,6),(3,5),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,8),(2,6),(3,5),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,9),(2,6),(3,5),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,10),(2,6),(3,5),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,10),(2,5),(3,6),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,9),(2,5),(3,6),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,8),(2,5),(3,6),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,5),(3,6),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,6),(2,5),(3,7),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,5),(2,6),(3,7),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 2
[(1,4),(2,6),(3,7),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,3),(2,6),(4,7),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,2),(3,6),(4,7),(5,10),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 0
[(1,2),(3,5),(4,7),(6,10),(8,9)] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 0
[(1,3),(2,5),(4,7),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,4),(2,5),(3,7),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,5),(2,4),(3,7),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 1
[(1,6),(2,4),(3,7),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,7),(2,4),(3,6),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => 1
[(1,8),(2,4),(3,6),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,9),(2,4),(3,6),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,10),(2,4),(3,6),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,10),(2,3),(4,6),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,9),(2,3),(4,6),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,8),(2,3),(4,6),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,7),(2,3),(4,6),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,6),(2,3),(4,7),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 1
[(1,5),(2,3),(4,7),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 1
[(1,4),(2,3),(5,7),(6,10),(8,9)] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 1
[(1,3),(2,4),(5,7),(6,10),(8,9)] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 1
[(1,2),(3,4),(5,7),(6,10),(8,9)] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 0
[(1,2),(3,4),(5,8),(6,10),(7,9)] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 0
[(1,3),(2,4),(5,8),(6,10),(7,9)] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[(1,4),(2,3),(5,8),(6,10),(7,9)] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[(1,5),(2,3),(4,8),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,6),(2,3),(4,8),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,7),(2,3),(4,8),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,8),(2,3),(4,7),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,9),(2,3),(4,7),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,10),(2,3),(4,7),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,10),(2,4),(3,7),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,9),(2,4),(3,7),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,8),(2,4),(3,7),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,7),(2,4),(3,8),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,6),(2,4),(3,8),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,4),(3,8),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,4),(2,5),(3,8),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,3),(2,5),(4,8),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,2),(3,5),(4,8),(6,10),(7,9)] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 0
[(1,2),(3,6),(4,8),(5,10),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,3),(2,6),(4,8),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,4),(2,6),(3,8),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,6),(3,8),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,6),(2,5),(3,8),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,5),(3,8),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,5),(3,7),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,5),(3,7),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,5),(3,7),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,6),(3,7),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,6),(3,7),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,6),(3,7),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,6),(3,8),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,6),(2,7),(3,8),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,5),(2,7),(3,8),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,4),(2,7),(3,8),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,3),(2,7),(4,8),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,2),(3,7),(4,8),(5,10),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,2),(3,8),(4,7),(5,10),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,3),(2,8),(4,7),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,4),(2,8),(3,7),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,5),(2,8),(3,7),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,8),(3,7),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,8),(3,6),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,7),(3,6),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,7),(3,6),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,7),(3,6),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,8),(3,6),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,8),(3,6),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,9),(3,6),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,9),(3,6),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,6),(2,9),(3,7),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,5),(2,9),(3,7),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,4),(2,9),(3,7),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,3),(2,9),(4,7),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,2),(3,9),(4,7),(5,10),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,2),(3,10),(4,7),(5,9),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,3),(2,10),(4,7),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,4),(2,10),(3,7),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,5),(2,10),(3,7),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,10),(3,7),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,10),(3,6),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,10),(3,6),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,10),(3,6),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,9),(3,6),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,9),(3,7),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,10),(3,7),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,10),(3,7),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,10),(3,8),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,6),(2,10),(3,8),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,5),(2,10),(3,8),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,4),(2,10),(3,8),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,3),(2,10),(4,8),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,2),(3,10),(4,8),(5,9),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,2),(3,9),(4,8),(5,10),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,3),(2,9),(4,8),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,4),(2,9),(3,8),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,5),(2,9),(3,8),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,9),(3,8),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,9),(3,8),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,9),(3,7),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,8),(3,7),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,8),(3,7),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,7),(3,8),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,7),(3,8),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,7),(3,9),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,8),(3,9),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,6),(2,8),(3,9),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,5),(2,8),(3,9),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,4),(2,8),(3,9),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,3),(2,8),(4,9),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,2),(3,8),(4,9),(5,10),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,2),(3,7),(4,9),(5,10),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,3),(2,7),(4,9),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,4),(2,7),(3,9),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,5),(2,7),(3,9),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,7),(3,9),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,6),(3,9),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,6),(3,9),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,6),(3,8),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,6),(3,8),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,5),(3,8),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,5),(3,8),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,5),(3,9),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,7),(2,5),(3,9),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,5),(3,9),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,5),(2,6),(3,9),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,4),(2,6),(3,9),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,3),(2,6),(4,9),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,2),(3,6),(4,9),(5,10),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,2),(3,5),(4,9),(6,10),(7,8)] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 0
[(1,3),(2,5),(4,9),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,4),(2,5),(3,9),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,5),(2,4),(3,9),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,6),(2,4),(3,9),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,7),(2,4),(3,9),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,8),(2,4),(3,9),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,9),(2,4),(3,8),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,10),(2,4),(3,8),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,10),(2,3),(4,8),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,9),(2,3),(4,8),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,8),(2,3),(4,9),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,7),(2,3),(4,9),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,6),(2,3),(4,9),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,5),(2,3),(4,9),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,4),(2,3),(5,9),(6,10),(7,8)] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[(1,3),(2,4),(5,9),(6,10),(7,8)] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[(1,2),(3,4),(5,9),(6,10),(7,8)] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 0
[(1,2),(3,4),(5,10),(6,9),(7,8)] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 0
[(1,3),(2,4),(5,10),(6,9),(7,8)] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[(1,4),(2,3),(5,10),(6,9),(7,8)] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 1
[(1,5),(2,3),(4,10),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,6),(2,3),(4,10),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,7),(2,3),(4,10),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,8),(2,3),(4,10),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,9),(2,3),(4,10),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,10),(2,3),(4,9),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,10),(2,4),(3,9),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,9),(2,4),(3,10),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,8),(2,4),(3,10),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,7),(2,4),(3,10),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,6),(2,4),(3,10),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,4),(3,10),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,4),(2,5),(3,10),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 1
[(1,3),(2,5),(4,10),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 1
[(1,2),(3,5),(4,10),(6,9),(7,8)] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 0
[(1,2),(3,6),(4,10),(5,9),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => 0
[(1,3),(2,6),(4,10),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => 1
[(1,4),(2,6),(3,10),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => 1
[(1,5),(2,6),(3,10),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,6),(2,5),(3,10),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => 2
[(1,7),(2,5),(3,10),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,8),(2,5),(3,10),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,9),(2,5),(3,10),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,5),(3,9),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,10),(2,6),(3,9),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,6),(3,10),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,6),(3,10),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,6),(3,10),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,6),(2,7),(3,10),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,5),(2,7),(3,10),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,4),(2,7),(3,10),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,3),(2,7),(4,10),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,2),(3,7),(4,10),(5,9),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,2),(3,8),(4,10),(5,9),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,3),(2,8),(4,10),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,4),(2,8),(3,10),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,5),(2,8),(3,10),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,8),(3,10),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,8),(3,10),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,7),(3,10),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,7),(3,10),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,7),(3,9),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,8),(3,9),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,8),(3,10),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,9),(3,10),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,9),(3,10),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,6),(2,9),(3,10),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,5),(2,9),(3,10),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,4),(2,9),(3,10),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,3),(2,9),(4,10),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,2),(3,9),(4,10),(5,8),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,2),(3,10),(4,9),(5,8),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 0
[(1,3),(2,10),(4,9),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 1
[(1,4),(2,10),(3,9),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => 1
[(1,5),(2,10),(3,9),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => 2
[(1,6),(2,10),(3,9),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,7),(2,10),(3,9),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,8),(2,10),(3,9),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,9),(2,10),(3,8),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,10),(2,9),(3,8),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 2
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 3
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 0
[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => 1
[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 0
[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => 1
[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => 1
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => 0
[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,6,4,3,5,1] => 1
[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,6,4,3,5,2] => 0
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 1
[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 1
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => 0
[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => 1
[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 1
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => 2
[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 0
[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,1] => 1
[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => 0
[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => 1
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => 1
[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => 0
[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,6,4,5,3,1] => 1
[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,6,4,5,3,2] => 0
[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 1
[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => 1
[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 0
[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 1
[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => 1
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => 2
[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => 0
[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,5,1] => 1
[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 0
[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 1
[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 2
[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => 0
[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => 2
[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => 1
[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,6,5,3] => 0
[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,2,4,1,5,6] => 1
[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => 1
[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => 1
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 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] => [1,5,3,4,2,6] => 0
[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,5,3,4,6,1] => 1
[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,5,3,4,6,2] => 0
[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,3,4,1,6] => 1
[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => 1
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6] => 0
[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,6,3,4,5,1] => 1
[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,6,3,4,5,2] => 0
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => 1
[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,6,5] => 0
[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => 1
[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => 1
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 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] => [1,3,5,4,2,6] => 0
[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => 1
[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 0
[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 1
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 1
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => 0
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => 0
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,4,3,6] => 1
[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,4,6,3] => 0
[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 1
[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => 1
[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => 2
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => 0
[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,6,4,5,1] => 1
[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,6,4,5,2] => 0
[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => 1
[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => 0
[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => 2
[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 1
[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 1
[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,6,4,5,3] => 0
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => 1
[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,6,4,5,3] => 1
[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,4,6,5] => 1
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 2
[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => 0
[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => 1
[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 0
[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 1
[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => 1
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,5,4,6] => 0
[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,6,3,5,4,1] => 1
[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,6,3,5,4,2] => 0
[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 1
[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 1
[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,5,6,4] => 0
[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => 1
[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 1
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 2
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => 0
[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 1
[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 0
[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => 1
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 2
[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,3,2,6,5] => 0
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 2
[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => 1
[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 1
[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 0
[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => 1
[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,5,4] => 1
[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => 1
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => 2
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => 0
[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => 1
[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 0
[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 1
[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 2
[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 0
[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 2
[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 1
[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => 0
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1,5,4,6] => 1
[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3] => 1
[(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => 1
[(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 2
[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,5,4] => 0
[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 2
[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => 1
[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 2
[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 1
[(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 3
[(1,11),(2,3),(4,5),(6,7),(8,9),(10,12)] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,1] => 1
[(1,12),(2,3),(4,5),(6,7),(8,10),(9,11)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,5,1] => 1
[(1,11),(2,3),(4,5),(6,7),(8,10),(9,12)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,5,1] => 1
[(1,10),(2,3),(4,5),(6,7),(8,11),(9,12)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,5,1] => 1
[(1,12),(2,3),(4,5),(6,8),(7,9),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => 1
[(1,11),(2,3),(4,5),(6,8),(7,9),(10,12)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => 1
[(1,12),(2,3),(4,5),(6,8),(7,10),(9,11)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,6,4,5,1] => 1
[(1,11),(2,3),(4,5),(6,8),(7,10),(9,12)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,6,4,5,1] => 1
[(1,10),(2,3),(4,5),(6,8),(7,11),(9,12)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,6,4,5,1] => 1
[(1,12),(2,3),(4,5),(6,9),(7,10),(8,11)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => 1
[(1,11),(2,3),(4,5),(6,9),(7,10),(8,12)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => 1
[(1,10),(2,3),(4,5),(6,9),(7,11),(8,12)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => 1
[(1,9),(2,3),(4,5),(6,10),(7,11),(8,12)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => 1
[(1,12),(2,3),(4,6),(5,7),(8,9),(10,11)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => 1
[(1,11),(2,3),(4,6),(5,7),(8,9),(10,12)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => 1
[(1,12),(2,3),(4,6),(5,7),(8,10),(9,11)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 1
[(1,11),(2,3),(4,6),(5,7),(8,10),(9,12)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 1
[(1,10),(2,3),(4,6),(5,7),(8,11),(9,12)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 1
[(1,12),(2,3),(4,6),(5,8),(7,9),(10,11)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,5,3,4,6,1] => 1
[(1,11),(2,3),(4,6),(5,8),(7,9),(10,12)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,5,3,4,6,1] => 1
[(1,12),(2,3),(4,6),(5,8),(7,10),(9,11)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,6,3,4,5,1] => 1
[(1,11),(2,3),(4,6),(5,8),(7,10),(9,12)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,6,3,4,5,1] => 1
[(1,10),(2,3),(4,6),(5,8),(7,11),(9,12)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,6,3,4,5,1] => 1
[(1,12),(2,3),(4,6),(5,9),(7,10),(8,11)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,6,3,5,4,1] => 1
[(1,11),(2,3),(4,6),(5,9),(7,10),(8,12)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,6,3,5,4,1] => 1
[(1,10),(2,3),(4,6),(5,9),(7,11),(8,12)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,6,3,5,4,1] => 1
[(1,9),(2,3),(4,6),(5,10),(7,11),(8,12)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,6,3,5,4,1] => 1
[(1,12),(2,3),(4,7),(5,8),(6,9),(10,11)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => 1
[(1,11),(2,3),(4,7),(5,8),(6,9),(10,12)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => 1
[(1,12),(2,3),(4,7),(5,8),(6,10),(9,11)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,6,4,3,5,1] => 1
[(1,11),(2,3),(4,7),(5,8),(6,10),(9,12)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,6,4,3,5,1] => 1
[(1,10),(2,3),(4,7),(5,8),(6,11),(9,12)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,6,4,3,5,1] => 1
[(1,12),(2,3),(4,7),(5,9),(6,10),(8,11)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,6,4,5,3,1] => 1
[(1,11),(2,3),(4,7),(5,9),(6,10),(8,12)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,6,4,5,3,1] => 1
[(1,10),(2,3),(4,7),(5,9),(6,11),(8,12)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,6,4,5,3,1] => 1
[(1,9),(2,3),(4,7),(5,10),(6,11),(8,12)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,6,4,5,3,1] => 1
[(1,12),(2,3),(4,8),(5,9),(6,10),(7,11)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[(1,11),(2,3),(4,8),(5,9),(6,10),(7,12)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[(1,10),(2,3),(4,8),(5,9),(6,11),(7,12)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[(1,9),(2,3),(4,8),(5,10),(6,11),(7,12)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[(1,8),(2,3),(4,9),(5,10),(6,11),(7,12)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[(1,12),(2,4),(3,5),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => 1
[(1,11),(2,4),(3,5),(6,7),(8,9),(10,12)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => 1
[(1,12),(2,4),(3,5),(6,7),(8,10),(9,11)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[(1,11),(2,4),(3,5),(6,7),(8,10),(9,12)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[(1,10),(2,4),(3,5),(6,7),(8,11),(9,12)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[(1,12),(2,4),(3,5),(6,8),(7,9),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[(1,11),(2,4),(3,5),(6,8),(7,9),(10,12)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[(1,12),(2,4),(3,5),(6,8),(7,10),(9,11)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 1
[(1,11),(2,4),(3,5),(6,8),(7,10),(9,12)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 1
[(1,10),(2,4),(3,5),(6,8),(7,11),(9,12)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 1
[(1,12),(2,4),(3,5),(6,9),(7,10),(8,11)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[(1,11),(2,4),(3,5),(6,9),(7,10),(8,12)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[(1,10),(2,4),(3,5),(6,9),(7,11),(8,12)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[(1,9),(2,4),(3,5),(6,10),(7,11),(8,12)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[(1,12),(2,4),(3,6),(5,7),(8,9),(10,11)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 1
[(1,11),(2,4),(3,6),(5,7),(8,9),(10,12)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 1
[(1,12),(2,4),(3,6),(5,7),(8,10),(9,11)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 1
[(1,11),(2,4),(3,6),(5,7),(8,10),(9,12)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 1
[(1,10),(2,4),(3,6),(5,7),(8,11),(9,12)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 1
[(1,12),(2,4),(3,6),(5,8),(7,9),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[(1,11),(2,4),(3,6),(5,8),(7,9),(10,12)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[(1,12),(2,4),(3,6),(5,8),(7,10),(9,11)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => 1
[(1,11),(2,4),(3,6),(5,8),(7,10),(9,12)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => 1
[(1,10),(2,4),(3,6),(5,8),(7,11),(9,12)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => 1
[(1,12),(2,4),(3,6),(5,9),(7,10),(8,11)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => 1
[(1,11),(2,4),(3,6),(5,9),(7,10),(8,12)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => 1
[(1,10),(2,4),(3,6),(5,9),(7,11),(8,12)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => 1
[(1,9),(2,4),(3,6),(5,10),(7,11),(8,12)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => 1
[(1,12),(2,4),(3,7),(5,8),(6,9),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 1
[(1,11),(2,4),(3,7),(5,8),(6,9),(10,12)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 1
[(1,12),(2,4),(3,7),(5,8),(6,10),(9,11)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => 1
[(1,11),(2,4),(3,7),(5,8),(6,10),(9,12)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => 1
[(1,10),(2,4),(3,7),(5,8),(6,11),(9,12)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => 1
[(1,12),(2,4),(3,7),(5,9),(6,10),(8,11)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => 1
[(1,11),(2,4),(3,7),(5,9),(6,10),(8,12)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => 1
[(1,10),(2,4),(3,7),(5,9),(6,11),(8,12)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => 1
[(1,9),(2,4),(3,7),(5,10),(6,11),(8,12)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => 1
[(1,12),(2,4),(3,8),(5,9),(6,10),(7,11)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 1
[(1,11),(2,4),(3,8),(5,9),(6,10),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 1
[(1,10),(2,4),(3,8),(5,9),(6,11),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 1
[(1,9),(2,4),(3,8),(5,10),(6,11),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 1
[(1,8),(2,4),(3,9),(5,10),(6,11),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 1
[(1,12),(2,5),(3,6),(4,7),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 2
[(1,11),(2,5),(3,6),(4,7),(8,9),(10,12)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 2
[(1,12),(2,5),(3,6),(4,7),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 2
[(1,11),(2,5),(3,6),(4,7),(8,10),(9,12)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 2
[(1,10),(2,5),(3,6),(4,7),(8,11),(9,12)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 2
[(1,12),(2,5),(3,6),(4,8),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[(1,11),(2,5),(3,6),(4,8),(7,9),(10,12)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[(1,12),(2,5),(3,6),(4,8),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => 2
[(1,11),(2,5),(3,6),(4,8),(7,10),(9,12)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => 2
[(1,10),(2,5),(3,6),(4,8),(7,11),(9,12)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => 2
[(1,12),(2,5),(3,6),(4,9),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => 2
[(1,11),(2,5),(3,6),(4,9),(7,10),(8,12)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => 2
[(1,10),(2,5),(3,6),(4,9),(7,11),(8,12)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => 2
[(1,9),(2,5),(3,6),(4,10),(7,11),(8,12)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => 2
[(1,12),(2,5),(3,7),(4,8),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 2
[(1,11),(2,5),(3,7),(4,8),(6,9),(10,12)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 2
[(1,12),(2,5),(3,7),(4,8),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => 2
[(1,11),(2,5),(3,7),(4,8),(6,10),(9,12)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => 2
[(1,10),(2,5),(3,7),(4,8),(6,11),(9,12)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => 2
[(1,12),(2,5),(3,7),(4,9),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => 2
[(1,11),(2,5),(3,7),(4,9),(6,10),(8,12)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => 2
[(1,10),(2,5),(3,7),(4,9),(6,11),(8,12)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => 2
[(1,9),(2,5),(3,7),(4,10),(6,11),(8,12)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => 2
[(1,12),(2,5),(3,8),(4,9),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 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] => [6,3,5,4,2,1] => 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] => [6,3,5,4,2,1] => 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] => [6,3,5,4,2,1] => 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] => [6,3,5,4,2,1] => 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] => [5,4,3,2,6,1] => 2
[(1,11),(2,6),(3,7),(4,8),(5,9),(10,12)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 2
[(1,12),(2,6),(3,7),(4,8),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 2
[(1,11),(2,6),(3,7),(4,8),(5,10),(9,12)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 2
[(1,10),(2,6),(3,7),(4,8),(5,11),(9,12)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 2
[(1,12),(2,6),(3,7),(4,9),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 2
[(1,11),(2,6),(3,7),(4,9),(5,10),(8,12)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 2
[(1,10),(2,6),(3,7),(4,9),(5,11),(8,12)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 2
[(1,9),(2,6),(3,7),(4,10),(5,11),(8,12)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 2
[(1,12),(2,6),(3,8),(4,9),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 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] => [6,5,3,4,2,1] => 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] => [6,5,3,4,2,1] => 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] => [6,5,3,4,2,1] => 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] => [6,5,3,4,2,1] => 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] => [6,5,4,3,2,1] => 3
[(1,11),(2,7),(3,8),(4,9),(5,10),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 3
[(1,10),(2,7),(3,8),(4,9),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 3
[(1,9),(2,7),(3,8),(4,10),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 3
[(1,8),(2,7),(3,9),(4,10),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 3
[(1,3),(2,12),(4,5),(6,7),(8,9),(10,11)] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,1] => 1
[(1,3),(2,12),(4,5),(6,7),(8,10),(9,11)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,5,1] => 1
[(1,3),(2,12),(4,5),(6,8),(7,9),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => 1
[(1,3),(2,12),(4,5),(6,8),(7,10),(9,11)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,6,4,5,1] => 1
[(1,3),(2,12),(4,5),(6,9),(7,10),(8,11)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => 1
[(1,3),(2,12),(4,6),(5,7),(8,9),(10,11)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => 1
[(1,3),(2,12),(4,6),(5,7),(8,10),(9,11)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 1
[(1,3),(2,12),(4,6),(5,8),(7,9),(10,11)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,5,3,4,6,1] => 1
[(1,3),(2,12),(4,6),(5,8),(7,10),(9,11)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,6,3,4,5,1] => 1
[(1,3),(2,12),(4,6),(5,9),(7,10),(8,11)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,6,3,5,4,1] => 1
[(1,3),(2,12),(4,7),(5,8),(6,9),(10,11)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => 1
[(1,3),(2,12),(4,7),(5,8),(6,10),(9,11)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,6,4,3,5,1] => 1
[(1,3),(2,12),(4,7),(5,9),(6,10),(8,11)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,6,4,5,3,1] => 1
[(1,3),(2,12),(4,8),(5,9),(6,10),(7,11)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 1
[(1,4),(2,12),(3,5),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => 1
[(1,4),(2,12),(3,5),(6,7),(8,10),(9,11)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[(1,4),(2,12),(3,5),(6,8),(7,9),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[(1,4),(2,12),(3,5),(6,8),(7,10),(9,11)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 1
[(1,4),(2,12),(3,5),(6,9),(7,10),(8,11)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[(1,4),(2,12),(3,6),(5,7),(8,9),(10,11)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 1
[(1,4),(2,12),(3,6),(5,7),(8,10),(9,11)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 1
[(1,4),(2,12),(3,6),(5,8),(7,9),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[(1,4),(2,12),(3,6),(5,8),(7,10),(9,11)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => 1
[(1,4),(2,12),(3,6),(5,9),(7,10),(8,11)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => 1
[(1,4),(2,12),(3,7),(5,8),(6,9),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 1
[(1,4),(2,12),(3,7),(5,8),(6,10),(9,11)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => 1
[(1,4),(2,12),(3,7),(5,9),(6,10),(8,11)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => 1
[(1,4),(2,12),(3,8),(5,9),(6,10),(7,11)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 1
[(1,5),(2,12),(3,6),(4,7),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 2
[(1,5),(2,12),(3,6),(4,7),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 2
[(1,5),(2,12),(3,6),(4,8),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[(1,5),(2,12),(3,6),(4,8),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => 2
[(1,5),(2,12),(3,6),(4,9),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => 2
[(1,5),(2,12),(3,7),(4,8),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 2
[(1,5),(2,12),(3,7),(4,8),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => 2
[(1,5),(2,12),(3,7),(4,9),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => 2
[(1,5),(2,12),(3,8),(4,9),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 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] => [5,4,3,2,6,1] => 2
[(1,6),(2,12),(3,7),(4,8),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 2
[(1,6),(2,12),(3,7),(4,9),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 2
[(1,6),(2,12),(3,8),(4,9),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 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] => [6,5,4,3,2,1] => 3
[(1,4),(2,5),(3,12),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => 1
[(1,4),(2,5),(3,12),(6,7),(8,10),(9,11)] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 1
[(1,4),(2,5),(3,12),(6,8),(7,9),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 1
[(1,4),(2,5),(3,12),(6,8),(7,10),(9,11)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => 1
[(1,4),(2,5),(3,12),(6,9),(7,10),(8,11)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 1
[(1,4),(2,6),(3,12),(5,7),(8,9),(10,11)] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => 1
[(1,4),(2,6),(3,12),(5,7),(8,10),(9,11)] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => 1
[(1,4),(2,6),(3,12),(5,8),(7,9),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => 1
[(1,4),(2,6),(3,12),(5,8),(7,10),(9,11)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => 1
[(1,4),(2,6),(3,12),(5,9),(7,10),(8,11)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => 1
[(1,4),(2,7),(3,12),(5,8),(6,9),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => 1
[(1,4),(2,7),(3,12),(5,8),(6,10),(9,11)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => 1
[(1,4),(2,7),(3,12),(5,9),(6,10),(8,11)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => 1
[(1,4),(2,8),(3,12),(5,9),(6,10),(7,11)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => 1
[(1,5),(2,6),(3,12),(4,7),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 2
[(1,5),(2,6),(3,12),(4,7),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 2
[(1,5),(2,6),(3,12),(4,8),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[(1,5),(2,6),(3,12),(4,8),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => 2
[(1,5),(2,6),(3,12),(4,9),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => 2
[(1,5),(2,7),(3,12),(4,8),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 2
[(1,5),(2,7),(3,12),(4,8),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => 2
[(1,5),(2,7),(3,12),(4,9),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => 2
[(1,5),(2,8),(3,12),(4,9),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 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] => [5,4,3,2,6,1] => 2
[(1,6),(2,7),(3,12),(4,8),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 2
[(1,6),(2,7),(3,12),(4,9),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 2
[(1,6),(2,8),(3,12),(4,9),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 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] => [6,5,4,3,2,1] => 3
[(1,5),(2,6),(3,7),(4,12),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 2
[(1,5),(2,6),(3,7),(4,12),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 2
[(1,5),(2,6),(3,8),(4,12),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => 2
[(1,5),(2,6),(3,8),(4,12),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => 2
[(1,5),(2,6),(3,9),(4,12),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => 2
[(1,5),(2,7),(3,8),(4,12),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => 2
[(1,5),(2,7),(3,8),(4,12),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => 2
[(1,5),(2,7),(3,9),(4,12),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => 2
[(1,5),(2,8),(3,9),(4,12),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => 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] => [5,4,3,2,6,1] => 2
[(1,6),(2,7),(3,8),(4,12),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 2
[(1,6),(2,7),(3,9),(4,12),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 2
[(1,6),(2,8),(3,9),(4,12),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 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] => [6,5,4,3,2,1] => 3
[(1,6),(2,7),(3,8),(4,9),(5,12),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 2
[(1,6),(2,7),(3,8),(4,10),(5,12),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => 2
[(1,6),(2,7),(3,9),(4,10),(5,12),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => 2
[(1,6),(2,8),(3,9),(4,10),(5,12),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => 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] => [6,5,4,3,2,1] => 3
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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:
1,2 3,12 15,66,24 105,480,360
$F_{2} = 1$
$F_{4} = 1 + 2\ q$
$F_{6} = 3 + 12\ q$
$F_{8} = 15 + 66\ q + 24\ q^{2}$
$F_{10} = 105 + 480\ q + 360\ q^{2}$
Description
The Elizalde-Pak rank of a permutation.
This is the largest $k$ such that $\pi(i) > k$ for all $i\leq k$.
According to [1], the length of the longest increasing subsequence in a $321$-avoiding permutation is equidistributed with the rank of a $132$-avoiding permutation.
This is the largest $k$ such that $\pi(i) > k$ for all $i\leq k$.
According to [1], the length of the longest increasing subsequence in a $321$-avoiding permutation is equidistributed with the rank of a $132$-avoiding permutation.
Map
to non-crossing permutation
Description
Sends a Dyck path $D$ with valley at positions $\{(i_1,j_1),\ldots,(i_k,j_k)\}$ to the unique non-crossing permutation $\pi$ having descents $\{i_1,\ldots,i_k\}$ and whose inverse has descents $\{j_1,\ldots,j_k\}$.
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to $n(n-1)$ minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to $n(n-1)$ minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..
Map
to Dyck path
Description
The Dyck path corresponding to the opener-closer sequence of the perfect matching.
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