Identifier
-
Mp00150:
Perfect matchings
—to Dyck path⟶
Dyck paths
Mp00140: Dyck paths —logarithmic height to pruning number⟶ Binary trees
Mp00014: Binary trees —to 132-avoiding permutation⟶ Permutations
St001115: Permutations ⟶ ℤ
Values
[(1,2)] => [1,0] => [.,.] => [1] => 0
[(1,2),(3,4)] => [1,0,1,0] => [.,[.,.]] => [2,1] => 0
[(1,3),(2,4)] => [1,1,0,0] => [[.,.],.] => [1,2] => 0
[(1,4),(2,3)] => [1,1,0,0] => [[.,.],.] => [1,2] => 0
[(1,2),(3,4),(5,6)] => [1,0,1,0,1,0] => [.,[.,[.,.]]] => [3,2,1] => 1
[(1,3),(2,4),(5,6)] => [1,1,0,0,1,0] => [[.,[.,.]],.] => [2,1,3] => 0
[(1,4),(2,3),(5,6)] => [1,1,0,0,1,0] => [[.,[.,.]],.] => [2,1,3] => 0
[(1,5),(2,3),(4,6)] => [1,1,0,1,0,0] => [[[.,.],.],.] => [1,2,3] => 0
[(1,6),(2,3),(4,5)] => [1,1,0,1,0,0] => [[[.,.],.],.] => [1,2,3] => 0
[(1,6),(2,4),(3,5)] => [1,1,1,0,0,0] => [[.,.],[.,.]] => [3,1,2] => 0
[(1,5),(2,4),(3,6)] => [1,1,1,0,0,0] => [[.,.],[.,.]] => [3,1,2] => 0
[(1,4),(2,5),(3,6)] => [1,1,1,0,0,0] => [[.,.],[.,.]] => [3,1,2] => 0
[(1,3),(2,5),(4,6)] => [1,1,0,1,0,0] => [[[.,.],.],.] => [1,2,3] => 0
[(1,2),(3,5),(4,6)] => [1,0,1,1,0,0] => [.,[[.,.],.]] => [2,3,1] => 1
[(1,2),(3,6),(4,5)] => [1,0,1,1,0,0] => [.,[[.,.],.]] => [2,3,1] => 1
[(1,3),(2,6),(4,5)] => [1,1,0,1,0,0] => [[[.,.],.],.] => [1,2,3] => 0
[(1,4),(2,6),(3,5)] => [1,1,1,0,0,0] => [[.,.],[.,.]] => [3,1,2] => 0
[(1,5),(2,6),(3,4)] => [1,1,1,0,0,0] => [[.,.],[.,.]] => [3,1,2] => 0
[(1,6),(2,5),(3,4)] => [1,1,1,0,0,0] => [[.,.],[.,.]] => [3,1,2] => 0
[(1,2),(3,4),(5,6),(7,8)] => [1,0,1,0,1,0,1,0] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 1
[(1,3),(2,4),(5,6),(7,8)] => [1,1,0,0,1,0,1,0] => [[.,[.,[.,.]]],.] => [3,2,1,4] => 1
[(1,4),(2,3),(5,6),(7,8)] => [1,1,0,0,1,0,1,0] => [[.,[.,[.,.]]],.] => [3,2,1,4] => 1
[(1,5),(2,3),(4,6),(7,8)] => [1,1,0,1,0,0,1,0] => [[[.,[.,.]],.],.] => [2,1,3,4] => 0
[(1,6),(2,3),(4,5),(7,8)] => [1,1,0,1,0,0,1,0] => [[[.,[.,.]],.],.] => [2,1,3,4] => 0
[(1,7),(2,3),(4,5),(6,8)] => [1,1,0,1,0,1,0,0] => [[[[.,.],.],.],.] => [1,2,3,4] => 0
[(1,8),(2,3),(4,5),(6,7)] => [1,1,0,1,0,1,0,0] => [[[[.,.],.],.],.] => [1,2,3,4] => 0
[(1,8),(2,4),(3,5),(6,7)] => [1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]] => [3,4,1,2] => 1
[(1,7),(2,4),(3,5),(6,8)] => [1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]] => [3,4,1,2] => 1
[(1,6),(2,4),(3,5),(7,8)] => [1,1,1,0,0,0,1,0] => [[.,.],[.,[.,.]]] => [4,3,1,2] => 1
[(1,5),(2,4),(3,6),(7,8)] => [1,1,1,0,0,0,1,0] => [[.,.],[.,[.,.]]] => [4,3,1,2] => 1
[(1,4),(2,5),(3,6),(7,8)] => [1,1,1,0,0,0,1,0] => [[.,.],[.,[.,.]]] => [4,3,1,2] => 1
[(1,3),(2,5),(4,6),(7,8)] => [1,1,0,1,0,0,1,0] => [[[.,[.,.]],.],.] => [2,1,3,4] => 0
[(1,2),(3,5),(4,6),(7,8)] => [1,0,1,1,0,0,1,0] => [.,[[.,[.,.]],.]] => [3,2,4,1] => 0
[(1,2),(3,6),(4,5),(7,8)] => [1,0,1,1,0,0,1,0] => [.,[[.,[.,.]],.]] => [3,2,4,1] => 0
[(1,3),(2,6),(4,5),(7,8)] => [1,1,0,1,0,0,1,0] => [[[.,[.,.]],.],.] => [2,1,3,4] => 0
[(1,4),(2,6),(3,5),(7,8)] => [1,1,1,0,0,0,1,0] => [[.,.],[.,[.,.]]] => [4,3,1,2] => 1
[(1,5),(2,6),(3,4),(7,8)] => [1,1,1,0,0,0,1,0] => [[.,.],[.,[.,.]]] => [4,3,1,2] => 1
[(1,6),(2,5),(3,4),(7,8)] => [1,1,1,0,0,0,1,0] => [[.,.],[.,[.,.]]] => [4,3,1,2] => 1
[(1,7),(2,5),(3,4),(6,8)] => [1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]] => [3,4,1,2] => 1
[(1,8),(2,5),(3,4),(6,7)] => [1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]] => [3,4,1,2] => 1
[(1,8),(2,6),(3,4),(5,7)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,7),(2,6),(3,4),(5,8)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,6),(2,7),(3,4),(5,8)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,5),(2,7),(3,4),(6,8)] => [1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]] => [3,4,1,2] => 1
[(1,4),(2,7),(3,5),(6,8)] => [1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]] => [3,4,1,2] => 1
[(1,3),(2,7),(4,5),(6,8)] => [1,1,0,1,0,1,0,0] => [[[[.,.],.],.],.] => [1,2,3,4] => 0
[(1,2),(3,7),(4,5),(6,8)] => [1,0,1,1,0,1,0,0] => [.,[[[.,.],.],.]] => [2,3,4,1] => 0
[(1,2),(3,8),(4,5),(6,7)] => [1,0,1,1,0,1,0,0] => [.,[[[.,.],.],.]] => [2,3,4,1] => 0
[(1,3),(2,8),(4,5),(6,7)] => [1,1,0,1,0,1,0,0] => [[[[.,.],.],.],.] => [1,2,3,4] => 0
[(1,4),(2,8),(3,5),(6,7)] => [1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]] => [3,4,1,2] => 1
[(1,5),(2,8),(3,4),(6,7)] => [1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]] => [3,4,1,2] => 1
[(1,6),(2,8),(3,4),(5,7)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,7),(2,8),(3,4),(5,6)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,8),(2,7),(3,4),(5,6)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,8),(2,7),(3,5),(4,6)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,7),(2,8),(3,5),(4,6)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,6),(2,8),(3,5),(4,7)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,5),(2,8),(3,6),(4,7)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,4),(2,8),(3,6),(5,7)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,3),(2,8),(4,6),(5,7)] => [1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.] => [3,1,2,4] => 0
[(1,2),(3,8),(4,6),(5,7)] => [1,0,1,1,1,0,0,0] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 0
[(1,2),(3,7),(4,6),(5,8)] => [1,0,1,1,1,0,0,0] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 0
[(1,3),(2,7),(4,6),(5,8)] => [1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.] => [3,1,2,4] => 0
[(1,4),(2,7),(3,6),(5,8)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,5),(2,7),(3,6),(4,8)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,6),(2,7),(3,5),(4,8)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,7),(2,6),(3,5),(4,8)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,8),(2,6),(3,5),(4,7)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,8),(2,5),(3,6),(4,7)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,7),(2,5),(3,6),(4,8)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,6),(2,5),(3,7),(4,8)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,5),(2,6),(3,7),(4,8)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,4),(2,6),(3,7),(5,8)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,3),(2,6),(4,7),(5,8)] => [1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.] => [3,1,2,4] => 0
[(1,2),(3,6),(4,7),(5,8)] => [1,0,1,1,1,0,0,0] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 0
[(1,2),(3,5),(4,7),(6,8)] => [1,0,1,1,0,1,0,0] => [.,[[[.,.],.],.]] => [2,3,4,1] => 0
[(1,3),(2,5),(4,7),(6,8)] => [1,1,0,1,0,1,0,0] => [[[[.,.],.],.],.] => [1,2,3,4] => 0
[(1,4),(2,5),(3,7),(6,8)] => [1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]] => [3,4,1,2] => 1
[(1,5),(2,4),(3,7),(6,8)] => [1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]] => [3,4,1,2] => 1
[(1,6),(2,4),(3,7),(5,8)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,7),(2,4),(3,6),(5,8)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,8),(2,4),(3,6),(5,7)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,8),(2,3),(4,6),(5,7)] => [1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.] => [3,1,2,4] => 0
[(1,7),(2,3),(4,6),(5,8)] => [1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.] => [3,1,2,4] => 0
[(1,6),(2,3),(4,7),(5,8)] => [1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.] => [3,1,2,4] => 0
[(1,5),(2,3),(4,7),(6,8)] => [1,1,0,1,0,1,0,0] => [[[[.,.],.],.],.] => [1,2,3,4] => 0
[(1,4),(2,3),(5,7),(6,8)] => [1,1,0,0,1,1,0,0] => [[.,[[.,.],.]],.] => [2,3,1,4] => 1
[(1,3),(2,4),(5,7),(6,8)] => [1,1,0,0,1,1,0,0] => [[.,[[.,.],.]],.] => [2,3,1,4] => 1
[(1,2),(3,4),(5,7),(6,8)] => [1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] => [3,4,2,1] => 1
[(1,2),(3,4),(5,8),(6,7)] => [1,0,1,0,1,1,0,0] => [.,[.,[[.,.],.]]] => [3,4,2,1] => 1
[(1,3),(2,4),(5,8),(6,7)] => [1,1,0,0,1,1,0,0] => [[.,[[.,.],.]],.] => [2,3,1,4] => 1
[(1,4),(2,3),(5,8),(6,7)] => [1,1,0,0,1,1,0,0] => [[.,[[.,.],.]],.] => [2,3,1,4] => 1
[(1,5),(2,3),(4,8),(6,7)] => [1,1,0,1,0,1,0,0] => [[[[.,.],.],.],.] => [1,2,3,4] => 0
[(1,6),(2,3),(4,8),(5,7)] => [1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.] => [3,1,2,4] => 0
[(1,7),(2,3),(4,8),(5,6)] => [1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.] => [3,1,2,4] => 0
[(1,8),(2,3),(4,7),(5,6)] => [1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.] => [3,1,2,4] => 0
[(1,8),(2,4),(3,7),(5,6)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,7),(2,4),(3,8),(5,6)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,6),(2,4),(3,8),(5,7)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,5),(2,4),(3,8),(6,7)] => [1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]] => [3,4,1,2] => 1
[(1,4),(2,5),(3,8),(6,7)] => [1,1,1,0,0,1,0,0] => [[.,.],[[.,.],.]] => [3,4,1,2] => 1
>>> Load all 1421 entries. <<<[(1,3),(2,5),(4,8),(6,7)] => [1,1,0,1,0,1,0,0] => [[[[.,.],.],.],.] => [1,2,3,4] => 0
[(1,2),(3,5),(4,8),(6,7)] => [1,0,1,1,0,1,0,0] => [.,[[[.,.],.],.]] => [2,3,4,1] => 0
[(1,2),(3,6),(4,8),(5,7)] => [1,0,1,1,1,0,0,0] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 0
[(1,3),(2,6),(4,8),(5,7)] => [1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.] => [3,1,2,4] => 0
[(1,4),(2,6),(3,8),(5,7)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,5),(2,6),(3,8),(4,7)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,6),(2,5),(3,8),(4,7)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,7),(2,5),(3,8),(4,6)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,8),(2,5),(3,7),(4,6)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,8),(2,6),(3,7),(4,5)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,7),(2,6),(3,8),(4,5)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,6),(2,7),(3,8),(4,5)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,5),(2,7),(3,8),(4,6)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,4),(2,7),(3,8),(5,6)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,3),(2,7),(4,8),(5,6)] => [1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.] => [3,1,2,4] => 0
[(1,2),(3,7),(4,8),(5,6)] => [1,0,1,1,1,0,0,0] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 0
[(1,2),(3,8),(4,7),(5,6)] => [1,0,1,1,1,0,0,0] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 0
[(1,3),(2,8),(4,7),(5,6)] => [1,1,0,1,1,0,0,0] => [[[.,.],[.,.]],.] => [3,1,2,4] => 0
[(1,4),(2,8),(3,7),(5,6)] => [1,1,1,0,1,0,0,0] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 1
[(1,5),(2,8),(3,7),(4,6)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,6),(2,8),(3,7),(4,5)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,7),(2,8),(3,6),(4,5)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,8),(2,7),(3,6),(4,5)] => [1,1,1,1,0,0,0,0] => [[[.,.],.],[.,.]] => [4,1,2,3] => 0
[(1,2),(3,4),(5,6),(7,8),(9,10)] => [1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 2
[(1,3),(2,4),(5,6),(7,8),(9,10)] => [1,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 1
[(1,4),(2,3),(5,6),(7,8),(9,10)] => [1,1,0,0,1,0,1,0,1,0] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 1
[(1,5),(2,3),(4,6),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 1
[(1,6),(2,3),(4,5),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 1
[(1,7),(2,3),(4,5),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 0
[(1,8),(2,3),(4,5),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 0
[(1,9),(2,3),(4,5),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,10),(2,3),(4,5),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,10),(2,4),(3,5),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,9),(2,4),(3,5),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,8),(2,4),(3,5),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 0
[(1,7),(2,4),(3,5),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 0
[(1,6),(2,4),(3,5),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => 1
[(1,5),(2,4),(3,6),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => 1
[(1,4),(2,5),(3,6),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => 1
[(1,3),(2,5),(4,6),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 1
[(1,2),(3,5),(4,6),(7,8),(9,10)] => [1,0,1,1,0,0,1,0,1,0] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 2
[(1,2),(3,6),(4,5),(7,8),(9,10)] => [1,0,1,1,0,0,1,0,1,0] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 2
[(1,3),(2,6),(4,5),(7,8),(9,10)] => [1,1,0,1,0,0,1,0,1,0] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 1
[(1,4),(2,6),(3,5),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => 1
[(1,5),(2,6),(3,4),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => 1
[(1,6),(2,5),(3,4),(7,8),(9,10)] => [1,1,1,0,0,0,1,0,1,0] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => 1
[(1,7),(2,5),(3,4),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 0
[(1,8),(2,5),(3,4),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 0
[(1,9),(2,5),(3,4),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,10),(2,5),(3,4),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,10),(2,6),(3,4),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,9),(2,6),(3,4),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,8),(2,6),(3,4),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,7),(2,6),(3,4),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,6),(2,7),(3,4),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,5),(2,7),(3,4),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 0
[(1,4),(2,7),(3,5),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 0
[(1,3),(2,7),(4,5),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 0
[(1,2),(3,7),(4,5),(6,8),(9,10)] => [1,0,1,1,0,1,0,0,1,0] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 1
[(1,2),(3,8),(4,5),(6,7),(9,10)] => [1,0,1,1,0,1,0,0,1,0] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 1
[(1,3),(2,8),(4,5),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 0
[(1,4),(2,8),(3,5),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 0
[(1,5),(2,8),(3,4),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 0
[(1,6),(2,8),(3,4),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,7),(2,8),(3,4),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,8),(2,7),(3,4),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,9),(2,7),(3,4),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,10),(2,7),(3,4),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,10),(2,8),(3,4),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,9),(2,8),(3,4),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,8),(2,9),(3,4),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,7),(2,9),(3,4),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,6),(2,9),(3,4),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,5),(2,9),(3,4),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,4),(2,9),(3,5),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,3),(2,9),(4,5),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,2),(3,9),(4,5),(6,7),(8,10)] => [1,0,1,1,0,1,0,1,0,0] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 1
[(1,2),(3,10),(4,5),(6,7),(8,9)] => [1,0,1,1,0,1,0,1,0,0] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 1
[(1,3),(2,10),(4,5),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,4),(2,10),(3,5),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,5),(2,10),(3,4),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,6),(2,10),(3,4),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,7),(2,10),(3,4),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,8),(2,10),(3,4),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,9),(2,10),(3,4),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,10),(2,9),(3,4),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,10),(2,9),(3,5),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,9),(2,10),(3,5),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,8),(2,10),(3,5),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,10),(3,5),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,6),(2,10),(3,5),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,5),(2,10),(3,6),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,4),(2,10),(3,6),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,3),(2,10),(4,6),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,2),(3,10),(4,6),(5,7),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 2
[(1,2),(3,9),(4,6),(5,7),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 2
[(1,3),(2,9),(4,6),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,4),(2,9),(3,6),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,5),(2,9),(3,6),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,6),(2,9),(3,5),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,7),(2,9),(3,5),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,8),(2,9),(3,5),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,9),(2,8),(3,5),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,10),(2,8),(3,5),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,10),(2,7),(3,5),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,9),(2,7),(3,5),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,8),(2,7),(3,5),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,7),(2,8),(3,5),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,6),(2,8),(3,5),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,5),(2,8),(3,6),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,4),(2,8),(3,6),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,3),(2,8),(4,6),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 1
[(1,2),(3,8),(4,6),(5,7),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 2
[(1,2),(3,7),(4,6),(5,8),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 2
[(1,3),(2,7),(4,6),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 1
[(1,4),(2,7),(3,6),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,5),(2,7),(3,6),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,6),(2,7),(3,5),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,7),(2,6),(3,5),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,8),(2,6),(3,5),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,9),(2,6),(3,5),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,10),(2,6),(3,5),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,10),(2,5),(3,6),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,9),(2,5),(3,6),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,8),(2,5),(3,6),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,7),(2,5),(3,6),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,6),(2,5),(3,7),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,5),(2,6),(3,7),(4,8),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,4),(2,6),(3,7),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,3),(2,6),(4,7),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 1
[(1,2),(3,6),(4,7),(5,8),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 2
[(1,2),(3,5),(4,7),(6,8),(9,10)] => [1,0,1,1,0,1,0,0,1,0] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 1
[(1,3),(2,5),(4,7),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 0
[(1,4),(2,5),(3,7),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 0
[(1,5),(2,4),(3,7),(6,8),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 0
[(1,6),(2,4),(3,7),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,7),(2,4),(3,6),(5,8),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,8),(2,4),(3,6),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,9),(2,4),(3,6),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,10),(2,4),(3,6),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,10),(2,3),(4,6),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,9),(2,3),(4,6),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,8),(2,3),(4,6),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 1
[(1,7),(2,3),(4,6),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 1
[(1,6),(2,3),(4,7),(5,8),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 1
[(1,5),(2,3),(4,7),(6,8),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 0
[(1,4),(2,3),(5,7),(6,8),(9,10)] => [1,1,0,0,1,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 0
[(1,3),(2,4),(5,7),(6,8),(9,10)] => [1,1,0,0,1,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 0
[(1,2),(3,4),(5,7),(6,8),(9,10)] => [1,0,1,0,1,1,0,0,1,0] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 1
[(1,2),(3,4),(5,8),(6,7),(9,10)] => [1,0,1,0,1,1,0,0,1,0] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 1
[(1,3),(2,4),(5,8),(6,7),(9,10)] => [1,1,0,0,1,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 0
[(1,4),(2,3),(5,8),(6,7),(9,10)] => [1,1,0,0,1,1,0,0,1,0] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 0
[(1,5),(2,3),(4,8),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 0
[(1,6),(2,3),(4,8),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 1
[(1,7),(2,3),(4,8),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 1
[(1,8),(2,3),(4,7),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 1
[(1,9),(2,3),(4,7),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,10),(2,3),(4,7),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,10),(2,4),(3,7),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,9),(2,4),(3,7),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,8),(2,4),(3,7),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,7),(2,4),(3,8),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,6),(2,4),(3,8),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,5),(2,4),(3,8),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 0
[(1,4),(2,5),(3,8),(6,7),(9,10)] => [1,1,1,0,0,1,0,0,1,0] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 0
[(1,3),(2,5),(4,8),(6,7),(9,10)] => [1,1,0,1,0,1,0,0,1,0] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 0
[(1,2),(3,5),(4,8),(6,7),(9,10)] => [1,0,1,1,0,1,0,0,1,0] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 1
[(1,2),(3,6),(4,8),(5,7),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 2
[(1,3),(2,6),(4,8),(5,7),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 1
[(1,4),(2,6),(3,8),(5,7),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,5),(2,6),(3,8),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,6),(2,5),(3,8),(4,7),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,7),(2,5),(3,8),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,8),(2,5),(3,7),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,9),(2,5),(3,7),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,10),(2,5),(3,7),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,10),(2,6),(3,7),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,9),(2,6),(3,7),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,8),(2,6),(3,7),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,7),(2,6),(3,8),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,6),(2,7),(3,8),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,5),(2,7),(3,8),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,4),(2,7),(3,8),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,3),(2,7),(4,8),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 1
[(1,2),(3,7),(4,8),(5,6),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 2
[(1,2),(3,8),(4,7),(5,6),(9,10)] => [1,0,1,1,1,0,0,0,1,0] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 2
[(1,3),(2,8),(4,7),(5,6),(9,10)] => [1,1,0,1,1,0,0,0,1,0] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 1
[(1,4),(2,8),(3,7),(5,6),(9,10)] => [1,1,1,0,1,0,0,0,1,0] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 1
[(1,5),(2,8),(3,7),(4,6),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,6),(2,8),(3,7),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,7),(2,8),(3,6),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,8),(2,7),(3,6),(4,5),(9,10)] => [1,1,1,1,0,0,0,0,1,0] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 1
[(1,9),(2,7),(3,6),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,10),(2,7),(3,6),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,10),(2,8),(3,6),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,9),(2,8),(3,6),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,8),(2,9),(3,6),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,9),(3,6),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,6),(2,9),(3,7),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,5),(2,9),(3,7),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,4),(2,9),(3,7),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,3),(2,9),(4,7),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,2),(3,9),(4,7),(5,6),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 2
[(1,2),(3,10),(4,7),(5,6),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 2
[(1,3),(2,10),(4,7),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,4),(2,10),(3,7),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,5),(2,10),(3,7),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,6),(2,10),(3,7),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,7),(2,10),(3,6),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,8),(2,10),(3,6),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,9),(2,10),(3,6),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,10),(2,9),(3,6),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,10),(2,9),(3,7),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,10),(3,7),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,10),(3,7),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,7),(2,10),(3,8),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,10),(3,8),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,5),(2,10),(3,8),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,4),(2,10),(3,8),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,3),(2,10),(4,8),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,2),(3,10),(4,8),(5,6),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,2),(3,9),(4,8),(5,6),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,3),(2,9),(4,8),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,4),(2,9),(3,8),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,9),(3,8),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,6),(2,9),(3,8),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,9),(3,8),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,9),(3,7),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,8),(3,7),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,8),(3,7),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,7),(3,8),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,7),(3,8),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,7),(3,9),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,7),(2,8),(3,9),(4,5),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,8),(3,9),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,5),(2,8),(3,9),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,4),(2,8),(3,9),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,3),(2,8),(4,9),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,2),(3,8),(4,9),(5,6),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,2),(3,7),(4,9),(5,6),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 2
[(1,3),(2,7),(4,9),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,4),(2,7),(3,9),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,5),(2,7),(3,9),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,6),(2,7),(3,9),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,7),(2,6),(3,9),(4,5),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,8),(2,6),(3,9),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,9),(2,6),(3,8),(4,5),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,10),(2,6),(3,8),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,10),(2,5),(3,8),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,9),(2,5),(3,8),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,8),(2,5),(3,9),(4,6),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,5),(3,9),(4,6),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,6),(2,5),(3,9),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,5),(2,6),(3,9),(4,7),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,4),(2,6),(3,9),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,3),(2,6),(4,9),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,2),(3,6),(4,9),(5,7),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 2
[(1,2),(3,5),(4,9),(6,7),(8,10)] => [1,0,1,1,0,1,0,1,0,0] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 1
[(1,3),(2,5),(4,9),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,4),(2,5),(3,9),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,5),(2,4),(3,9),(6,7),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,6),(2,4),(3,9),(5,7),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,7),(2,4),(3,9),(5,6),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,8),(2,4),(3,9),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,9),(2,4),(3,8),(5,6),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,10),(2,4),(3,8),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,10),(2,3),(4,8),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,9),(2,3),(4,8),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,8),(2,3),(4,9),(5,6),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,7),(2,3),(4,9),(5,6),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,6),(2,3),(4,9),(5,7),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,5),(2,3),(4,9),(6,7),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,4),(2,3),(5,9),(6,7),(8,10)] => [1,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 0
[(1,3),(2,4),(5,9),(6,7),(8,10)] => [1,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 0
[(1,2),(3,4),(5,9),(6,7),(8,10)] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 1
[(1,2),(3,4),(5,10),(6,7),(8,9)] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 1
[(1,3),(2,4),(5,10),(6,7),(8,9)] => [1,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 0
[(1,4),(2,3),(5,10),(6,7),(8,9)] => [1,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 0
[(1,5),(2,3),(4,10),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,6),(2,3),(4,10),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,7),(2,3),(4,10),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,8),(2,3),(4,10),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,9),(2,3),(4,10),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,10),(2,3),(4,9),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,10),(2,4),(3,9),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,9),(2,4),(3,10),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,8),(2,4),(3,10),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,7),(2,4),(3,10),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,6),(2,4),(3,10),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,5),(2,4),(3,10),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,4),(2,5),(3,10),(6,7),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,3),(2,5),(4,10),(6,7),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,2),(3,5),(4,10),(6,7),(8,9)] => [1,0,1,1,0,1,0,1,0,0] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 1
[(1,2),(3,6),(4,10),(5,7),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 2
[(1,3),(2,6),(4,10),(5,7),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,4),(2,6),(3,10),(5,7),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,5),(2,6),(3,10),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,6),(2,5),(3,10),(4,7),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,7),(2,5),(3,10),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,8),(2,5),(3,10),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,9),(2,5),(3,10),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,10),(2,5),(3,9),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,10),(2,6),(3,9),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,9),(2,6),(3,10),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,8),(2,6),(3,10),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,6),(3,10),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,6),(2,7),(3,10),(4,5),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,5),(2,7),(3,10),(4,6),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,4),(2,7),(3,10),(5,6),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,3),(2,7),(4,10),(5,6),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,2),(3,7),(4,10),(5,6),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 2
[(1,2),(3,8),(4,10),(5,6),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,3),(2,8),(4,10),(5,6),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,4),(2,8),(3,10),(5,6),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,8),(3,10),(4,6),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,6),(2,8),(3,10),(4,5),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,8),(3,10),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,7),(3,10),(4,5),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,7),(3,10),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,7),(3,9),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,8),(3,9),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,8),(3,10),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,9),(3,10),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,7),(2,9),(3,10),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,9),(3,10),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,5),(2,9),(3,10),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,4),(2,9),(3,10),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,3),(2,9),(4,10),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,2),(3,9),(4,10),(5,6),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,2),(3,10),(4,9),(5,6),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,3),(2,10),(4,9),(5,6),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,4),(2,10),(3,9),(5,6),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,10),(3,9),(4,6),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,6),(2,10),(3,9),(4,5),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,10),(3,9),(4,5),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,10),(3,9),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,10),(3,8),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,9),(3,8),(4,5),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,9),(3,8),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,10),(3,8),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,10),(3,9),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,10),(3,9),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,6),(2,10),(3,9),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,5),(2,10),(3,9),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,4),(2,10),(3,9),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,3),(2,10),(4,9),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,2),(3,10),(4,9),(5,7),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,2),(3,9),(4,10),(5,7),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,3),(2,9),(4,10),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,4),(2,9),(3,10),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,5),(2,9),(3,10),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,9),(3,10),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,9),(3,10),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,9),(3,10),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,8),(3,10),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,8),(3,9),(4,6),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,7),(3,9),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,7),(3,10),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,7),(3,10),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,8),(3,10),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,6),(2,8),(3,10),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,5),(2,8),(3,10),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,4),(2,8),(3,10),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,3),(2,8),(4,10),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,2),(3,8),(4,10),(5,7),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,2),(3,7),(4,10),(5,8),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,3),(2,7),(4,10),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,4),(2,7),(3,10),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,5),(2,7),(3,10),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,7),(3,10),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,6),(3,10),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,6),(3,10),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,6),(3,10),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,6),(3,9),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,5),(3,9),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,5),(3,10),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,5),(3,10),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,7),(2,5),(3,10),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,5),(3,10),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,5),(2,6),(3,10),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,4),(2,6),(3,10),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,3),(2,6),(4,10),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,2),(3,6),(4,10),(5,8),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,2),(3,5),(4,10),(6,8),(7,9)] => [1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[(1,3),(2,5),(4,10),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,4),(2,5),(3,10),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,5),(2,4),(3,10),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,6),(2,4),(3,10),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,7),(2,4),(3,10),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,8),(2,4),(3,10),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,9),(2,4),(3,10),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,10),(2,4),(3,9),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,10),(2,3),(4,9),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,9),(2,3),(4,10),(5,7),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,8),(2,3),(4,10),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,7),(2,3),(4,10),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,6),(2,3),(4,10),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,5),(2,3),(4,10),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,4),(2,3),(5,10),(6,8),(7,9)] => [1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 0
[(1,3),(2,4),(5,10),(6,8),(7,9)] => [1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 0
[(1,2),(3,4),(5,10),(6,8),(7,9)] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 1
[(1,2),(3,4),(5,9),(6,8),(7,10)] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 1
[(1,3),(2,4),(5,9),(6,8),(7,10)] => [1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 0
[(1,4),(2,3),(5,9),(6,8),(7,10)] => [1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 0
[(1,5),(2,3),(4,9),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,6),(2,3),(4,9),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,7),(2,3),(4,9),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,8),(2,3),(4,9),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,9),(2,3),(4,8),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,10),(2,3),(4,8),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,10),(2,4),(3,8),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,9),(2,4),(3,8),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,8),(2,4),(3,9),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,7),(2,4),(3,9),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,6),(2,4),(3,9),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,4),(3,9),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,4),(2,5),(3,9),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,3),(2,5),(4,9),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,2),(3,5),(4,9),(6,8),(7,10)] => [1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[(1,2),(3,6),(4,9),(5,8),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,3),(2,6),(4,9),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,4),(2,6),(3,9),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,6),(3,9),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,6),(2,5),(3,9),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,5),(3,9),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,5),(3,9),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,5),(3,8),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,5),(3,8),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,6),(3,8),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,6),(3,8),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,6),(3,9),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,6),(3,9),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,6),(2,7),(3,9),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,5),(2,7),(3,9),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,4),(2,7),(3,9),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,3),(2,7),(4,9),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,2),(3,7),(4,9),(5,8),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,2),(3,8),(4,9),(5,7),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,3),(2,8),(4,9),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,4),(2,8),(3,9),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,5),(2,8),(3,9),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,8),(3,9),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,8),(3,9),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,7),(3,9),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,7),(3,8),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,7),(3,8),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,8),(3,7),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,8),(3,7),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,9),(3,7),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,9),(3,8),(4,6),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,6),(2,9),(3,8),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,5),(2,9),(3,8),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,4),(2,9),(3,8),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,3),(2,9),(4,8),(5,7),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,2),(3,9),(4,8),(5,7),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,2),(3,10),(4,8),(5,7),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,3),(2,10),(4,8),(5,7),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,4),(2,10),(3,8),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,5),(2,10),(3,8),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,10),(3,8),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,10),(3,8),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,10),(3,7),(4,6),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,10),(3,7),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,9),(3,7),(4,6),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,9),(3,6),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,10),(3,6),(4,7),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,10),(3,6),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,10),(3,6),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,6),(2,10),(3,7),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,5),(2,10),(3,7),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,4),(2,10),(3,7),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,3),(2,10),(4,7),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,2),(3,10),(4,7),(5,8),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,2),(3,9),(4,7),(5,8),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,3),(2,9),(4,7),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,4),(2,9),(3,7),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,5),(2,9),(3,7),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,9),(3,7),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,9),(3,6),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,9),(3,6),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,8),(3,6),(4,7),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,8),(3,6),(4,7),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,7),(3,6),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,7),(3,6),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,7),(3,6),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,8),(3,6),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,6),(2,8),(3,7),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,5),(2,8),(3,7),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,4),(2,8),(3,7),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,3),(2,8),(4,7),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,2),(3,8),(4,7),(5,9),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,2),(3,7),(4,8),(5,9),(6,10)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,3),(2,7),(4,8),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,4),(2,7),(3,8),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,5),(2,7),(3,8),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,7),(3,8),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,6),(3,8),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,6),(3,7),(4,9),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,6),(3,7),(4,8),(5,10)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,6),(3,7),(4,8),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,5),(3,7),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,5),(3,7),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,5),(3,7),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,7),(2,5),(3,8),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,5),(3,8),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,5),(2,6),(3,8),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,4),(2,6),(3,8),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,3),(2,6),(4,8),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,2),(3,6),(4,8),(5,9),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,2),(3,5),(4,8),(6,9),(7,10)] => [1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[(1,3),(2,5),(4,8),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,4),(2,5),(3,8),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,5),(2,4),(3,8),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,6),(2,4),(3,8),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,7),(2,4),(3,8),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,8),(2,4),(3,7),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,9),(2,4),(3,7),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,10),(2,4),(3,7),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,10),(2,3),(4,7),(5,8),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,9),(2,3),(4,7),(5,8),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,8),(2,3),(4,7),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,7),(2,3),(4,8),(5,9),(6,10)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,6),(2,3),(4,8),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,5),(2,3),(4,8),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,4),(2,3),(5,8),(6,9),(7,10)] => [1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 0
[(1,3),(2,4),(5,8),(6,9),(7,10)] => [1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 0
[(1,2),(3,4),(5,8),(6,9),(7,10)] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 1
[(1,2),(3,4),(5,7),(6,9),(8,10)] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 1
[(1,3),(2,4),(5,7),(6,9),(8,10)] => [1,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 0
[(1,4),(2,3),(5,7),(6,9),(8,10)] => [1,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 0
[(1,5),(2,3),(4,7),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,6),(2,3),(4,7),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,7),(2,3),(4,6),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,8),(2,3),(4,6),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,9),(2,3),(4,6),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,10),(2,3),(4,6),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,10),(2,4),(3,6),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,9),(2,4),(3,6),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,8),(2,4),(3,6),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,7),(2,4),(3,6),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,6),(2,4),(3,7),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,5),(2,4),(3,7),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,4),(2,5),(3,7),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,3),(2,5),(4,7),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,2),(3,5),(4,7),(6,9),(8,10)] => [1,0,1,1,0,1,0,1,0,0] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 1
[(1,2),(3,6),(4,7),(5,9),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 2
[(1,3),(2,6),(4,7),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,4),(2,6),(3,7),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,5),(2,6),(3,7),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,6),(2,5),(3,7),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,7),(2,5),(3,6),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,8),(2,5),(3,6),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,9),(2,5),(3,6),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,10),(2,5),(3,6),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,10),(2,6),(3,5),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,9),(2,6),(3,5),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,8),(2,6),(3,5),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,6),(3,5),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,6),(2,7),(3,5),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,5),(2,7),(3,6),(4,9),(8,10)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,4),(2,7),(3,6),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,3),(2,7),(4,6),(5,9),(8,10)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,2),(3,7),(4,6),(5,9),(8,10)] => [1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 2
[(1,2),(3,8),(4,6),(5,9),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,3),(2,8),(4,6),(5,9),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,4),(2,8),(3,6),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,8),(3,6),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,6),(2,8),(3,5),(4,9),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,8),(3,5),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,7),(3,5),(4,9),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,7),(3,5),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,7),(3,5),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,8),(3,5),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,8),(3,5),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,9),(3,5),(4,7),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,7),(2,9),(3,5),(4,8),(6,10)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,9),(3,5),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,5),(2,9),(3,6),(4,8),(7,10)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,4),(2,9),(3,6),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,3),(2,9),(4,6),(5,8),(7,10)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,2),(3,9),(4,6),(5,8),(7,10)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,2),(3,10),(4,6),(5,8),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,3),(2,10),(4,6),(5,8),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,4),(2,10),(3,6),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,10),(3,6),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,6),(2,10),(3,5),(4,8),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,10),(3,5),(4,8),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,10),(3,5),(4,7),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,10),(3,5),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,9),(3,5),(4,7),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,9),(3,4),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,9),(2,10),(3,4),(5,7),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,8),(2,10),(3,4),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,7),(2,10),(3,4),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,6),(2,10),(3,4),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,10),(3,4),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,4),(2,10),(3,5),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,3),(2,10),(4,5),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,2),(3,10),(4,5),(6,8),(7,9)] => [1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[(1,2),(3,9),(4,5),(6,8),(7,10)] => [1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[(1,3),(2,9),(4,5),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,4),(2,9),(3,5),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,5),(2,9),(3,4),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,6),(2,9),(3,4),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,7),(2,9),(3,4),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,8),(2,9),(3,4),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,9),(2,8),(3,4),(5,7),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,10),(2,8),(3,4),(5,7),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,10),(2,7),(3,4),(5,8),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,9),(2,7),(3,4),(5,8),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,8),(2,7),(3,4),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,7),(2,8),(3,4),(5,9),(6,10)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,6),(2,8),(3,4),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,8),(3,4),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,4),(2,8),(3,5),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,3),(2,8),(4,5),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,2),(3,8),(4,5),(6,9),(7,10)] => [1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[(1,2),(3,7),(4,5),(6,9),(8,10)] => [1,0,1,1,0,1,0,1,0,0] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 1
[(1,3),(2,7),(4,5),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,4),(2,7),(3,5),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,5),(2,7),(3,4),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,6),(2,7),(3,4),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,7),(2,6),(3,4),(5,9),(8,10)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,8),(2,6),(3,4),(5,9),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,9),(2,6),(3,4),(5,8),(7,10)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,10),(2,6),(3,4),(5,8),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,10),(2,5),(3,4),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,9),(2,5),(3,4),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,8),(2,5),(3,4),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,7),(2,5),(3,4),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,6),(2,5),(3,4),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 1
[(1,5),(2,6),(3,4),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 1
[(1,4),(2,6),(3,5),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 1
[(1,3),(2,6),(4,5),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 1
[(1,2),(3,6),(4,5),(7,9),(8,10)] => [1,0,1,1,0,0,1,1,0,0] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 2
[(1,2),(3,5),(4,6),(7,9),(8,10)] => [1,0,1,1,0,0,1,1,0,0] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 2
[(1,3),(2,5),(4,6),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 1
[(1,4),(2,5),(3,6),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 1
[(1,5),(2,4),(3,6),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 1
[(1,6),(2,4),(3,5),(7,9),(8,10)] => [1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 1
[(1,7),(2,4),(3,5),(6,9),(8,10)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,8),(2,4),(3,5),(6,9),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,9),(2,4),(3,5),(6,8),(7,10)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,10),(2,4),(3,5),(6,8),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,10),(2,3),(4,5),(6,8),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,9),(2,3),(4,5),(6,8),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,8),(2,3),(4,5),(6,9),(7,10)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,7),(2,3),(4,5),(6,9),(8,10)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,6),(2,3),(4,5),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 1
[(1,5),(2,3),(4,6),(7,9),(8,10)] => [1,1,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 1
[(1,4),(2,3),(5,6),(7,9),(8,10)] => [1,1,0,0,1,0,1,1,0,0] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 1
[(1,3),(2,4),(5,6),(7,9),(8,10)] => [1,1,0,0,1,0,1,1,0,0] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 1
[(1,2),(3,4),(5,6),(7,9),(8,10)] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 2
[(1,2),(3,4),(5,6),(7,10),(8,9)] => [1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 2
[(1,3),(2,4),(5,6),(7,10),(8,9)] => [1,1,0,0,1,0,1,1,0,0] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 1
[(1,4),(2,3),(5,6),(7,10),(8,9)] => [1,1,0,0,1,0,1,1,0,0] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 1
[(1,5),(2,3),(4,6),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 1
[(1,6),(2,3),(4,5),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 1
[(1,7),(2,3),(4,5),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,8),(2,3),(4,5),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,9),(2,3),(4,5),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,10),(2,3),(4,5),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,10),(2,4),(3,5),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,9),(2,4),(3,5),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,8),(2,4),(3,5),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,7),(2,4),(3,5),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,6),(2,4),(3,5),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 1
[(1,5),(2,4),(3,6),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 1
[(1,4),(2,5),(3,6),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 1
[(1,3),(2,5),(4,6),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 1
[(1,2),(3,5),(4,6),(7,10),(8,9)] => [1,0,1,1,0,0,1,1,0,0] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 2
[(1,2),(3,6),(4,5),(7,10),(8,9)] => [1,0,1,1,0,0,1,1,0,0] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 2
[(1,3),(2,6),(4,5),(7,10),(8,9)] => [1,1,0,1,0,0,1,1,0,0] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 1
[(1,4),(2,6),(3,5),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 1
[(1,5),(2,6),(3,4),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 1
[(1,6),(2,5),(3,4),(7,10),(8,9)] => [1,1,1,0,0,0,1,1,0,0] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 1
[(1,7),(2,5),(3,4),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,8),(2,5),(3,4),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,9),(2,5),(3,4),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,10),(2,5),(3,4),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,10),(2,6),(3,4),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,9),(2,6),(3,4),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,8),(2,6),(3,4),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,7),(2,6),(3,4),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,6),(2,7),(3,4),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,5),(2,7),(3,4),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,4),(2,7),(3,5),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,3),(2,7),(4,5),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,2),(3,7),(4,5),(6,10),(8,9)] => [1,0,1,1,0,1,0,1,0,0] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 1
[(1,2),(3,8),(4,5),(6,10),(7,9)] => [1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[(1,3),(2,8),(4,5),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,4),(2,8),(3,5),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,5),(2,8),(3,4),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,6),(2,8),(3,4),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,7),(2,8),(3,4),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,8),(2,7),(3,4),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,9),(2,7),(3,4),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,10),(2,7),(3,4),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,10),(2,8),(3,4),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,9),(2,8),(3,4),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,8),(2,9),(3,4),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,7),(2,9),(3,4),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,6),(2,9),(3,4),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,9),(3,4),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,4),(2,9),(3,5),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,3),(2,9),(4,5),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,2),(3,9),(4,5),(6,10),(7,8)] => [1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[(1,2),(3,10),(4,5),(6,9),(7,8)] => [1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[(1,3),(2,10),(4,5),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,4),(2,10),(3,5),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,5),(2,10),(3,4),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,6),(2,10),(3,4),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,7),(2,10),(3,4),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,8),(2,10),(3,4),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,9),(2,10),(3,4),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,10),(2,9),(3,4),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,10),(2,9),(3,5),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,10),(3,5),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,10),(3,5),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,7),(2,10),(3,5),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,10),(3,5),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,5),(2,10),(3,6),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,4),(2,10),(3,6),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,3),(2,10),(4,6),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,2),(3,10),(4,6),(5,9),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,2),(3,9),(4,6),(5,10),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,3),(2,9),(4,6),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,4),(2,9),(3,6),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,9),(3,6),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,6),(2,9),(3,5),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,9),(3,5),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,9),(3,5),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,8),(3,5),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,8),(3,5),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,7),(3,5),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,7),(3,5),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,7),(3,5),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,7),(2,8),(3,5),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,8),(3,5),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,5),(2,8),(3,6),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,4),(2,8),(3,6),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,3),(2,8),(4,6),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,2),(3,8),(4,6),(5,10),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,2),(3,7),(4,6),(5,10),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 2
[(1,3),(2,7),(4,6),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,4),(2,7),(3,6),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,5),(2,7),(3,6),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,6),(2,7),(3,5),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,7),(2,6),(3,5),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,8),(2,6),(3,5),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,9),(2,6),(3,5),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,10),(2,6),(3,5),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,10),(2,5),(3,6),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,9),(2,5),(3,6),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,8),(2,5),(3,6),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,5),(3,6),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,6),(2,5),(3,7),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,5),(2,6),(3,7),(4,10),(8,9)] => [1,1,1,1,0,0,0,1,0,0] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 1
[(1,4),(2,6),(3,7),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,3),(2,6),(4,7),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,2),(3,6),(4,7),(5,10),(8,9)] => [1,0,1,1,1,0,0,1,0,0] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 2
[(1,2),(3,5),(4,7),(6,10),(8,9)] => [1,0,1,1,0,1,0,1,0,0] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 1
[(1,3),(2,5),(4,7),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,4),(2,5),(3,7),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,5),(2,4),(3,7),(6,10),(8,9)] => [1,1,1,0,0,1,0,1,0,0] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 0
[(1,6),(2,4),(3,7),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,7),(2,4),(3,6),(5,10),(8,9)] => [1,1,1,0,1,0,0,1,0,0] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 1
[(1,8),(2,4),(3,6),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,9),(2,4),(3,6),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,10),(2,4),(3,6),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,10),(2,3),(4,6),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,9),(2,3),(4,6),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,8),(2,3),(4,6),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,7),(2,3),(4,6),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,6),(2,3),(4,7),(5,10),(8,9)] => [1,1,0,1,1,0,0,1,0,0] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 1
[(1,5),(2,3),(4,7),(6,10),(8,9)] => [1,1,0,1,0,1,0,1,0,0] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[(1,4),(2,3),(5,7),(6,10),(8,9)] => [1,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 0
[(1,3),(2,4),(5,7),(6,10),(8,9)] => [1,1,0,0,1,1,0,1,0,0] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 0
[(1,2),(3,4),(5,7),(6,10),(8,9)] => [1,0,1,0,1,1,0,1,0,0] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 1
[(1,2),(3,4),(5,8),(6,10),(7,9)] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 1
[(1,3),(2,4),(5,8),(6,10),(7,9)] => [1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 0
[(1,4),(2,3),(5,8),(6,10),(7,9)] => [1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 0
[(1,5),(2,3),(4,8),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,6),(2,3),(4,8),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,7),(2,3),(4,8),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,8),(2,3),(4,7),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,9),(2,3),(4,7),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,10),(2,3),(4,7),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,10),(2,4),(3,7),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,9),(2,4),(3,7),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,8),(2,4),(3,7),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,7),(2,4),(3,8),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,6),(2,4),(3,8),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,4),(3,8),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,4),(2,5),(3,8),(6,10),(7,9)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,3),(2,5),(4,8),(6,10),(7,9)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,2),(3,5),(4,8),(6,10),(7,9)] => [1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[(1,2),(3,6),(4,8),(5,10),(7,9)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,3),(2,6),(4,8),(5,10),(7,9)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,4),(2,6),(3,8),(5,10),(7,9)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,6),(3,8),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,6),(2,5),(3,8),(4,10),(7,9)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,5),(3,8),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,5),(3,7),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,5),(3,7),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,5),(3,7),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,6),(3,7),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,6),(3,7),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,6),(3,7),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,6),(3,8),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,6),(2,7),(3,8),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,5),(2,7),(3,8),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,4),(2,7),(3,8),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,3),(2,7),(4,8),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,2),(3,7),(4,8),(5,10),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,2),(3,8),(4,7),(5,10),(6,9)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,3),(2,8),(4,7),(5,10),(6,9)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,4),(2,8),(3,7),(5,10),(6,9)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,5),(2,8),(3,7),(4,10),(6,9)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,8),(3,7),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,8),(3,6),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,7),(3,6),(4,10),(5,9)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,7),(3,6),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,7),(3,6),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,8),(3,6),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,8),(3,6),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,9),(3,6),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,9),(3,6),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,6),(2,9),(3,7),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,5),(2,9),(3,7),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,4),(2,9),(3,7),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,3),(2,9),(4,7),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,2),(3,9),(4,7),(5,10),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,2),(3,10),(4,7),(5,9),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,3),(2,10),(4,7),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,4),(2,10),(3,7),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,5),(2,10),(3,7),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,10),(3,7),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,10),(3,6),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,10),(3,6),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,10),(3,6),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,9),(3,6),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,9),(3,7),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,10),(3,7),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,10),(3,7),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,10),(3,8),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,6),(2,10),(3,8),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,5),(2,10),(3,8),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,4),(2,10),(3,8),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,3),(2,10),(4,8),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,2),(3,10),(4,8),(5,9),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,2),(3,9),(4,8),(5,10),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,3),(2,9),(4,8),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,4),(2,9),(3,8),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,5),(2,9),(3,8),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,9),(3,8),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,9),(3,8),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,9),(3,7),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,8),(3,7),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,8),(3,7),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,7),(3,8),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,7),(3,8),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,7),(3,9),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,8),(3,9),(4,10),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,6),(2,8),(3,9),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,5),(2,8),(3,9),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,4),(2,8),(3,9),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,3),(2,8),(4,9),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,2),(3,8),(4,9),(5,10),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,2),(3,7),(4,9),(5,10),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,3),(2,7),(4,9),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,4),(2,7),(3,9),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,5),(2,7),(3,9),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,7),(3,9),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,6),(3,9),(4,10),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,6),(3,9),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,6),(3,8),(4,10),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,6),(3,8),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,5),(3,8),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,5),(3,8),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,5),(3,9),(4,10),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,7),(2,5),(3,9),(4,10),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,5),(3,9),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,5),(2,6),(3,9),(4,10),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,4),(2,6),(3,9),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,3),(2,6),(4,9),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,2),(3,6),(4,9),(5,10),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,2),(3,5),(4,9),(6,10),(7,8)] => [1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[(1,3),(2,5),(4,9),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,4),(2,5),(3,9),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,5),(2,4),(3,9),(6,10),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,6),(2,4),(3,9),(5,10),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,7),(2,4),(3,9),(5,10),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,8),(2,4),(3,9),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,9),(2,4),(3,8),(5,10),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,10),(2,4),(3,8),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,10),(2,3),(4,8),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,9),(2,3),(4,8),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,8),(2,3),(4,9),(5,10),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,7),(2,3),(4,9),(5,10),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,6),(2,3),(4,9),(5,10),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,5),(2,3),(4,9),(6,10),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,4),(2,3),(5,9),(6,10),(7,8)] => [1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 0
[(1,3),(2,4),(5,9),(6,10),(7,8)] => [1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 0
[(1,2),(3,4),(5,9),(6,10),(7,8)] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 1
[(1,2),(3,4),(5,10),(6,9),(7,8)] => [1,0,1,0,1,1,1,0,0,0] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 1
[(1,3),(2,4),(5,10),(6,9),(7,8)] => [1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 0
[(1,4),(2,3),(5,10),(6,9),(7,8)] => [1,1,0,0,1,1,1,0,0,0] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 0
[(1,5),(2,3),(4,10),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,6),(2,3),(4,10),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,7),(2,3),(4,10),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,8),(2,3),(4,10),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,9),(2,3),(4,10),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,10),(2,3),(4,9),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,10),(2,4),(3,9),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,9),(2,4),(3,10),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,8),(2,4),(3,10),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,7),(2,4),(3,10),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,6),(2,4),(3,10),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,4),(3,10),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,4),(2,5),(3,10),(6,9),(7,8)] => [1,1,1,0,0,1,1,0,0,0] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 0
[(1,3),(2,5),(4,10),(6,9),(7,8)] => [1,1,0,1,0,1,1,0,0,0] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 0
[(1,2),(3,5),(4,10),(6,9),(7,8)] => [1,0,1,1,0,1,1,0,0,0] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 1
[(1,2),(3,6),(4,10),(5,9),(7,8)] => [1,0,1,1,1,0,1,0,0,0] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 2
[(1,3),(2,6),(4,10),(5,9),(7,8)] => [1,1,0,1,1,0,1,0,0,0] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 1
[(1,4),(2,6),(3,10),(5,9),(7,8)] => [1,1,1,0,1,0,1,0,0,0] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 1
[(1,5),(2,6),(3,10),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,6),(2,5),(3,10),(4,9),(7,8)] => [1,1,1,1,0,0,1,0,0,0] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 1
[(1,7),(2,5),(3,10),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,8),(2,5),(3,10),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,9),(2,5),(3,10),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,5),(3,9),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,10),(2,6),(3,9),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,6),(3,10),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,6),(3,10),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,6),(3,10),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,6),(2,7),(3,10),(4,9),(5,8)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,5),(2,7),(3,10),(4,9),(6,8)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,4),(2,7),(3,10),(5,9),(6,8)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,3),(2,7),(4,10),(5,9),(6,8)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,2),(3,7),(4,10),(5,9),(6,8)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,2),(3,8),(4,10),(5,9),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,3),(2,8),(4,10),(5,9),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,4),(2,8),(3,10),(5,9),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,5),(2,8),(3,10),(4,9),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,8),(3,10),(4,9),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,8),(3,10),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,7),(3,10),(4,9),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,7),(3,10),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,7),(3,9),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,8),(3,9),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,8),(3,10),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,9),(3,10),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,9),(3,10),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,6),(2,9),(3,10),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,5),(2,9),(3,10),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,4),(2,9),(3,10),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,3),(2,9),(4,10),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,2),(3,9),(4,10),(5,8),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,2),(3,10),(4,9),(5,8),(6,7)] => [1,0,1,1,1,1,0,0,0,0] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 1
[(1,3),(2,10),(4,9),(5,8),(6,7)] => [1,1,0,1,1,1,0,0,0,0] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 0
[(1,4),(2,10),(3,9),(5,8),(6,7)] => [1,1,1,0,1,1,0,0,0,0] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 0
[(1,5),(2,10),(3,9),(4,8),(6,7)] => [1,1,1,1,0,1,0,0,0,0] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 0
[(1,6),(2,10),(3,9),(4,8),(5,7)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,7),(2,10),(3,9),(4,8),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,8),(2,10),(3,9),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,9),(2,10),(3,8),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,10),(2,9),(3,8),(4,7),(5,6)] => [1,1,1,1,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 1
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 1
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [1,0,1,1,1,1,0,0,0,0,1,0] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 1
[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => 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] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 1
[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [1,1,0,1,1,1,0,0,0,0,1,0] => [[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => 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] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 2
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [1,0,1,0,1,1,0,0,1,0,1,0] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 2
[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [1,1,0,1,1,1,0,0,1,0,0,0] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 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] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 1
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [1,1,0,0,1,1,0,0,1,0,1,0] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 2
[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 2
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [1,0,1,0,1,1,0,0,1,1,0,0] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 2
[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [1,1,1,0,1,1,0,0,0,0,1,0] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => 2
[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [1,1,0,0,1,1,0,0,1,1,0,0] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 2
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 0
[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [1,0,1,1,0,1,0,1,0,0,1,0] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 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] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => 0
[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [1,0,1,1,0,1,0,1,0,1,0,0] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => 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] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 0
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 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] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 1
[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => 0
[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [1,0,1,1,1,1,0,1,0,0,0,0] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => 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] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 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] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => 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] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 1
[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [1,1,1,0,0,1,0,1,0,0,1,0] => [[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => 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] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 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] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => 1
[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [1,0,1,1,0,1,0,0,1,0,1,0] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 1
[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => 0
[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [1,0,1,1,0,1,0,1,1,0,0,0] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => 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] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 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] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => 1
[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [1,0,1,1,0,1,0,0,1,1,0,0] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 1
[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [1,1,1,1,0,1,0,0,0,0,1,0] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => 1
[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [1,1,0,1,0,1,0,0,1,1,0,0] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 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] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => 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] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 1
[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [1,1,1,0,0,1,0,0,1,0,1,0] => [[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => 2
[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [1,1,0,0,1,1,0,1,1,0,0,0] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => 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] => [[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => 2
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [1,0,1,1,1,0,1,0,0,0,1,0] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 1
[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 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] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 1
[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [1,1,0,1,1,0,1,0,0,0,1,0] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 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] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 2
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [1,0,1,0,1,0,1,0,1,0,1,0] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 2
[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [1,1,0,1,1,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 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] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 1
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [1,1,0,0,1,0,1,0,1,0,1,0] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 2
[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 2
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [1,0,1,0,1,0,1,0,1,1,0,0] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 2
[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [1,1,1,0,1,0,1,0,0,0,1,0] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 2
[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [1,1,0,0,1,0,1,0,1,1,0,0] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 2
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 1
[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [1,0,1,1,0,1,1,0,0,0,1,0] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 1
[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => 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] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 1
[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [1,1,0,1,0,1,1,0,0,0,1,0] => [[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => 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] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 2
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [1,0,1,0,1,1,1,0,0,0,1,0] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 2
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 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] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 1
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [1,1,0,0,1,1,1,0,0,0,1,0] => [[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => 2
[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => 2
[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [1,0,1,0,1,1,1,0,0,1,0,0] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 2
[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [1,1,1,0,0,1,1,0,0,0,1,0] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => 2
[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [1,1,0,0,1,1,1,0,0,1,0,0] => [[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => 2
[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 1
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [1,0,1,1,0,0,1,0,1,0,1,0] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 1
[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [1,1,0,1,0,1,1,0,1,0,0,0] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 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] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 1
[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [1,1,0,1,0,0,1,0,1,0,1,0] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 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] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => 1
[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [1,0,1,1,0,0,1,0,1,1,0,0] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 1
[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [1,1,1,1,0,0,1,0,0,0,1,0] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => 1
[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [1,1,0,1,0,0,1,0,1,1,0,0] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 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] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => 2
[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [1,0,1,0,1,1,1,0,1,0,0,0] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 2
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [1,1,1,0,0,0,1,0,1,0,1,0] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => 2
[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [1,1,0,0,1,1,1,0,1,0,0,0] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 2
[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [1,1,1,0,0,0,1,0,1,1,0,0] => [[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => 2
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [1,0,1,1,1,0,0,1,0,0,1,0] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 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] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => 0
[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [1,0,1,1,1,0,0,1,0,1,0,0] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 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] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => 0
[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 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] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 1
[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 0
[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [1,0,1,1,1,0,1,1,0,0,0,0] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 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] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 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] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => 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] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 1
[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [1,1,1,0,1,0,0,1,0,0,1,0] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => 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] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 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] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 1
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [1,0,1,1,1,0,0,0,1,0,1,0] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 1
[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => 0
[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [1,0,1,1,1,0,0,1,1,0,0,0] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 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] => [[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => 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] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 0
[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [1,0,1,1,1,0,0,0,1,1,0,0] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 1
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [1,1,1,1,1,0,0,0,0,0,1,0] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => 1
[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [1,1,0,1,1,0,0,0,1,1,0,0] => [[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => 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] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => 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] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 1
[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [1,1,1,0,1,0,0,0,1,0,1,0] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 2
[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [1,1,0,0,1,0,1,1,1,0,0,0] => [[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => 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] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => 2
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 0
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [1,0,1,1,0,0,1,1,0,0,1,0] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 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] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => 0
[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [1,0,1,1,0,1,1,1,0,0,0,0] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => 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] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 0
[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => 0
[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [1,0,1,1,0,0,1,1,0,1,0,0] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 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] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => 0
[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [1,1,0,1,0,0,1,1,0,1,0,0] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 0
[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => 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] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 1
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [1,1,1,0,0,0,1,1,0,0,1,0] => [[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => 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] => [[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => 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] => [[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => 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] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => 0
[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [1,0,1,1,0,0,1,1,1,0,0,0] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 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] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => 1
[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [1,1,0,1,0,0,1,1,1,0,0,0] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => 0
[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [1,1,1,1,0,0,0,0,1,1,0,0] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => 1
[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [1,1,1,0,0,0,1,1,1,0,0,0] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => 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] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 1
[(1,11),(2,3),(4,5),(6,7),(8,9),(10,12)] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => 0
[(1,12),(2,3),(4,5),(6,7),(8,10),(9,11)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => 0
[(1,11),(2,3),(4,5),(6,7),(8,10),(9,12)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => 0
[(1,10),(2,3),(4,5),(6,7),(8,11),(9,12)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => 0
[(1,12),(2,3),(4,5),(6,8),(7,9),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => 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] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => 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] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 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] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 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] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 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] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => 0
[(1,11),(2,3),(4,5),(6,9),(7,10),(8,12)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => 0
[(1,10),(2,3),(4,5),(6,9),(7,11),(8,12)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => 0
[(1,9),(2,3),(4,5),(6,10),(7,11),(8,12)] => [1,1,0,1,0,1,1,1,0,0,0,0] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => 0
[(1,12),(2,3),(4,6),(5,7),(8,9),(10,11)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => 0
[(1,11),(2,3),(4,6),(5,7),(8,9),(10,12)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => 0
[(1,12),(2,3),(4,6),(5,7),(8,10),(9,11)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => 0
[(1,11),(2,3),(4,6),(5,7),(8,10),(9,12)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => 0
[(1,10),(2,3),(4,6),(5,7),(8,11),(9,12)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => 0
[(1,12),(2,3),(4,6),(5,8),(7,9),(10,11)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 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] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 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] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 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] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 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] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 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] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 0
[(1,11),(2,3),(4,6),(5,9),(7,10),(8,12)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 0
[(1,10),(2,3),(4,6),(5,9),(7,11),(8,12)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 0
[(1,9),(2,3),(4,6),(5,10),(7,11),(8,12)] => [1,1,0,1,1,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 0
[(1,12),(2,3),(4,7),(5,8),(6,9),(10,11)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => 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] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => 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] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 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] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 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] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 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] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => 0
[(1,11),(2,3),(4,7),(5,9),(6,10),(8,12)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => 0
[(1,10),(2,3),(4,7),(5,9),(6,11),(8,12)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => 0
[(1,9),(2,3),(4,7),(5,10),(6,11),(8,12)] => [1,1,0,1,1,1,0,1,0,0,0,0] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => 0
[(1,12),(2,3),(4,8),(5,9),(6,10),(7,11)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 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] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 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] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 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] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 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] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 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] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => 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] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => 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] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => 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] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => 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] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => 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] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => 2
[(1,11),(2,4),(3,5),(6,8),(7,9),(10,12)] => [1,1,1,0,0,1,1,0,0,1,0,0] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => 2
[(1,12),(2,4),(3,5),(6,8),(7,10),(9,11)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => 2
[(1,11),(2,4),(3,5),(6,8),(7,10),(9,12)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => 2
[(1,10),(2,4),(3,5),(6,8),(7,11),(9,12)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => 2
[(1,12),(2,4),(3,5),(6,9),(7,10),(8,11)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => 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] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => 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] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => 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] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => 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] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => 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] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => 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] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => 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] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => 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] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => 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] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 2
[(1,11),(2,4),(3,6),(5,8),(7,9),(10,12)] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 2
[(1,12),(2,4),(3,6),(5,8),(7,10),(9,11)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 2
[(1,11),(2,4),(3,6),(5,8),(7,10),(9,12)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 2
[(1,10),(2,4),(3,6),(5,8),(7,11),(9,12)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 2
[(1,12),(2,4),(3,6),(5,9),(7,10),(8,11)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 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] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 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] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 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] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 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] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 2
[(1,11),(2,4),(3,7),(5,8),(6,9),(10,12)] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 2
[(1,12),(2,4),(3,7),(5,8),(6,10),(9,11)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 2
[(1,11),(2,4),(3,7),(5,8),(6,10),(9,12)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 2
[(1,10),(2,4),(3,7),(5,8),(6,11),(9,12)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 2
[(1,12),(2,4),(3,7),(5,9),(6,10),(8,11)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 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] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 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] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 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] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 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] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 2
[(1,11),(2,4),(3,8),(5,9),(6,10),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 2
[(1,10),(2,4),(3,8),(5,9),(6,11),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 2
[(1,9),(2,4),(3,8),(5,10),(6,11),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 2
[(1,8),(2,4),(3,9),(5,10),(6,11),(7,12)] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 2
[(1,12),(2,5),(3,6),(4,7),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => 0
[(1,11),(2,5),(3,6),(4,7),(8,9),(10,12)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => 0
[(1,12),(2,5),(3,6),(4,7),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => 0
[(1,11),(2,5),(3,6),(4,7),(8,10),(9,12)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => 0
[(1,10),(2,5),(3,6),(4,7),(8,11),(9,12)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => 0
[(1,12),(2,5),(3,6),(4,8),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => 1
[(1,11),(2,5),(3,6),(4,8),(7,9),(10,12)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => 1
[(1,12),(2,5),(3,6),(4,8),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 1
[(1,11),(2,5),(3,6),(4,8),(7,10),(9,12)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 1
[(1,10),(2,5),(3,6),(4,8),(7,11),(9,12)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 1
[(1,12),(2,5),(3,6),(4,9),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 0
[(1,11),(2,5),(3,6),(4,9),(7,10),(8,12)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 0
[(1,10),(2,5),(3,6),(4,9),(7,11),(8,12)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 0
[(1,9),(2,5),(3,6),(4,10),(7,11),(8,12)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 0
[(1,12),(2,5),(3,7),(4,8),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => 1
[(1,11),(2,5),(3,7),(4,8),(6,9),(10,12)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => 1
[(1,12),(2,5),(3,7),(4,8),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => 1
[(1,11),(2,5),(3,7),(4,8),(6,10),(9,12)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => 1
[(1,10),(2,5),(3,7),(4,8),(6,11),(9,12)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => 1
[(1,12),(2,5),(3,7),(4,9),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 0
[(1,11),(2,5),(3,7),(4,9),(6,10),(8,12)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 0
[(1,10),(2,5),(3,7),(4,9),(6,11),(8,12)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 0
[(1,9),(2,5),(3,7),(4,10),(6,11),(8,12)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 0
[(1,12),(2,5),(3,8),(4,9),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 1
[(1,11),(2,5),(3,8),(4,9),(6,10),(7,12)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 1
[(1,10),(2,5),(3,8),(4,9),(6,11),(7,12)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 1
[(1,9),(2,5),(3,8),(4,10),(6,11),(7,12)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 1
[(1,8),(2,5),(3,9),(4,10),(6,11),(7,12)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 1
[(1,12),(2,6),(3,7),(4,8),(5,9),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 0
[(1,11),(2,6),(3,7),(4,8),(5,9),(10,12)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 0
[(1,12),(2,6),(3,7),(4,8),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 1
[(1,11),(2,6),(3,7),(4,8),(5,10),(9,12)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 1
[(1,10),(2,6),(3,7),(4,8),(5,11),(9,12)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 1
[(1,12),(2,6),(3,7),(4,9),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[(1,11),(2,6),(3,7),(4,9),(5,10),(8,12)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[(1,10),(2,6),(3,7),(4,9),(5,11),(8,12)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[(1,9),(2,6),(3,7),(4,10),(5,11),(8,12)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[(1,12),(2,6),(3,8),(4,9),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[(1,11),(2,6),(3,8),(4,9),(5,10),(7,12)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[(1,10),(2,6),(3,8),(4,9),(5,11),(7,12)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[(1,9),(2,6),(3,8),(4,10),(5,11),(7,12)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[(1,8),(2,6),(3,9),(4,10),(5,11),(7,12)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[(1,12),(2,7),(3,8),(4,9),(5,10),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 1
[(1,11),(2,7),(3,8),(4,9),(5,10),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 1
[(1,10),(2,7),(3,8),(4,9),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 1
[(1,9),(2,7),(3,8),(4,10),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 1
[(1,8),(2,7),(3,9),(4,10),(5,11),(6,12)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 1
[(1,3),(2,12),(4,5),(6,7),(8,9),(10,11)] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => 0
[(1,3),(2,12),(4,5),(6,7),(8,10),(9,11)] => [1,1,0,1,0,1,0,1,1,0,0,0] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => 0
[(1,3),(2,12),(4,5),(6,8),(7,9),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => 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] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 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] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => 0
[(1,3),(2,12),(4,6),(5,7),(8,9),(10,11)] => [1,1,0,1,1,0,0,1,0,1,0,0] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => 0
[(1,3),(2,12),(4,6),(5,7),(8,10),(9,11)] => [1,1,0,1,1,0,0,1,1,0,0,0] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => 0
[(1,3),(2,12),(4,6),(5,8),(7,9),(10,11)] => [1,1,0,1,1,0,1,0,0,1,0,0] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 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] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 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] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 0
[(1,3),(2,12),(4,7),(5,8),(6,9),(10,11)] => [1,1,0,1,1,1,0,0,0,1,0,0] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => 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] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 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] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => 0
[(1,3),(2,12),(4,8),(5,9),(6,10),(7,11)] => [1,1,0,1,1,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 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] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => 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] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => 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] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => 2
[(1,4),(2,12),(3,5),(6,8),(7,10),(9,11)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => 2
[(1,4),(2,12),(3,5),(6,9),(7,10),(8,11)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => 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] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => 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] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => 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] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 2
[(1,4),(2,12),(3,6),(5,8),(7,10),(9,11)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 2
[(1,4),(2,12),(3,6),(5,9),(7,10),(8,11)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 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] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 2
[(1,4),(2,12),(3,7),(5,8),(6,10),(9,11)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 2
[(1,4),(2,12),(3,7),(5,9),(6,10),(8,11)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 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] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 2
[(1,5),(2,12),(3,6),(4,7),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => 0
[(1,5),(2,12),(3,6),(4,7),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => 0
[(1,5),(2,12),(3,6),(4,8),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => 1
[(1,5),(2,12),(3,6),(4,8),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 1
[(1,5),(2,12),(3,6),(4,9),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 0
[(1,5),(2,12),(3,7),(4,8),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => 1
[(1,5),(2,12),(3,7),(4,8),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => 1
[(1,5),(2,12),(3,7),(4,9),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 0
[(1,5),(2,12),(3,8),(4,9),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 1
[(1,6),(2,12),(3,7),(4,8),(5,9),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 0
[(1,6),(2,12),(3,7),(4,8),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 1
[(1,6),(2,12),(3,7),(4,9),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[(1,6),(2,12),(3,8),(4,9),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[(1,7),(2,12),(3,8),(4,9),(5,10),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 1
[(1,4),(2,5),(3,12),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => 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] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => 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] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => 2
[(1,4),(2,5),(3,12),(6,8),(7,10),(9,11)] => [1,1,1,0,0,1,1,0,1,0,0,0] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => 2
[(1,4),(2,5),(3,12),(6,9),(7,10),(8,11)] => [1,1,1,0,0,1,1,1,0,0,0,0] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => 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] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => 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] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => 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] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 2
[(1,4),(2,6),(3,12),(5,8),(7,10),(9,11)] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 2
[(1,4),(2,6),(3,12),(5,9),(7,10),(8,11)] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 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] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 2
[(1,4),(2,7),(3,12),(5,8),(6,10),(9,11)] => [1,1,1,0,1,1,0,0,1,0,0,0] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 2
[(1,4),(2,7),(3,12),(5,9),(6,10),(8,11)] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 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] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 2
[(1,5),(2,6),(3,12),(4,7),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => 0
[(1,5),(2,6),(3,12),(4,7),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => 0
[(1,5),(2,6),(3,12),(4,8),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => 1
[(1,5),(2,6),(3,12),(4,8),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 1
[(1,5),(2,6),(3,12),(4,9),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 0
[(1,5),(2,7),(3,12),(4,8),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => 1
[(1,5),(2,7),(3,12),(4,8),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => 1
[(1,5),(2,7),(3,12),(4,9),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 0
[(1,5),(2,8),(3,12),(4,9),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 1
[(1,6),(2,7),(3,12),(4,8),(5,9),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 0
[(1,6),(2,7),(3,12),(4,8),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 1
[(1,6),(2,7),(3,12),(4,9),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[(1,6),(2,8),(3,12),(4,9),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[(1,7),(2,8),(3,12),(4,9),(5,10),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 1
[(1,5),(2,6),(3,7),(4,12),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => 0
[(1,5),(2,6),(3,7),(4,12),(8,10),(9,11)] => [1,1,1,1,0,0,0,1,1,0,0,0] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => 0
[(1,5),(2,6),(3,8),(4,12),(7,9),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => 1
[(1,5),(2,6),(3,8),(4,12),(7,10),(9,11)] => [1,1,1,1,0,0,1,0,1,0,0,0] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 1
[(1,5),(2,6),(3,9),(4,12),(7,10),(8,11)] => [1,1,1,1,0,0,1,1,0,0,0,0] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 0
[(1,5),(2,7),(3,8),(4,12),(6,9),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => 1
[(1,5),(2,7),(3,8),(4,12),(6,10),(9,11)] => [1,1,1,1,0,1,0,0,1,0,0,0] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => 1
[(1,5),(2,7),(3,9),(4,12),(6,10),(8,11)] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 0
[(1,5),(2,8),(3,9),(4,12),(6,10),(7,11)] => [1,1,1,1,0,1,1,0,0,0,0,0] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 1
[(1,6),(2,7),(3,8),(4,12),(5,9),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 0
[(1,6),(2,7),(3,8),(4,12),(5,10),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 1
[(1,6),(2,7),(3,9),(4,12),(5,10),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[(1,6),(2,8),(3,9),(4,12),(5,10),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[(1,7),(2,8),(3,9),(4,12),(5,10),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 1
[(1,6),(2,7),(3,8),(4,9),(5,12),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 0
[(1,6),(2,7),(3,8),(4,10),(5,12),(9,11)] => [1,1,1,1,1,0,0,0,1,0,0,0] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 1
[(1,6),(2,7),(3,9),(4,10),(5,12),(8,11)] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 1
[(1,6),(2,8),(3,9),(4,10),(5,12),(7,11)] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 1
[(1,7),(2,8),(3,9),(4,10),(5,12),(6,11)] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 1
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
12,3 60,45 360,540,45
$F_{2} = 1$
$F_{4} = 3$
$F_{6} = 12 + 3\ q$
$F_{8} = 60 + 45\ q$
$F_{10} = 360 + 540\ q + 45\ q^{2}$
Description
The number of even descents of a permutation.
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
logarithmic height to pruning number
Description
Francon's map from Dyck paths to binary trees.
This bijection sends the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path., to the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree.. The implementation is a literal translation of Knuth's [2].
This bijection sends the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path., to the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree.. The implementation is a literal translation of Knuth's [2].
Map
to Dyck path
Description
The Dyck path corresponding to the opener-closer sequence of the perfect matching.
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