Identifier
-
Mp00141:
Binary trees
—pruning number to logarithmic height⟶
Dyck paths
Mp00023: Dyck paths —to non-crossing permutation⟶ Permutations
Mp00090: Permutations —cycle-as-one-line notation⟶ Permutations
St000696: Permutations ⟶ ℤ
Values
[.,.] => [1,0] => [1] => [1] => 2
[.,[.,.]] => [1,0,1,0] => [1,2] => [1,2] => 3
[[.,.],.] => [1,1,0,0] => [2,1] => [1,2] => 3
[.,[.,[.,.]]] => [1,0,1,0,1,0] => [1,2,3] => [1,2,3] => 4
[.,[[.,.],.]] => [1,0,1,1,0,0] => [1,3,2] => [1,2,3] => 4
[[.,.],[.,.]] => [1,1,1,0,0,0] => [3,2,1] => [1,3,2] => 2
[[.,[.,.]],.] => [1,1,0,0,1,0] => [2,1,3] => [1,2,3] => 4
[[[.,.],.],.] => [1,1,0,1,0,0] => [2,3,1] => [1,2,3] => 4
[.,[.,[.,[.,.]]]] => [1,0,1,0,1,0,1,0] => [1,2,3,4] => [1,2,3,4] => 5
[.,[.,[[.,.],.]]] => [1,0,1,0,1,1,0,0] => [1,2,4,3] => [1,2,3,4] => 5
[.,[[.,.],[.,.]]] => [1,0,1,1,1,0,0,0] => [1,4,3,2] => [1,2,4,3] => 3
[.,[[.,[.,.]],.]] => [1,0,1,1,0,0,1,0] => [1,3,2,4] => [1,2,3,4] => 5
[.,[[[.,.],.],.]] => [1,0,1,1,0,1,0,0] => [1,3,4,2] => [1,2,3,4] => 5
[[.,.],[.,[.,.]]] => [1,1,1,0,0,0,1,0] => [3,2,1,4] => [1,3,2,4] => 3
[[.,.],[[.,.],.]] => [1,1,1,0,0,1,0,0] => [3,2,4,1] => [1,3,4,2] => 3
[[.,[.,.]],[.,.]] => [1,1,1,0,1,0,0,0] => [4,2,3,1] => [1,4,2,3] => 3
[[[.,.],.],[.,.]] => [1,1,1,1,0,0,0,0] => [4,3,2,1] => [1,4,2,3] => 3
[[.,[.,[.,.]]],.] => [1,1,0,0,1,0,1,0] => [2,1,3,4] => [1,2,3,4] => 5
[[.,[[.,.],.]],.] => [1,1,0,0,1,1,0,0] => [2,1,4,3] => [1,2,3,4] => 5
[[[.,.],[.,.]],.] => [1,1,0,1,1,0,0,0] => [2,4,3,1] => [1,2,4,3] => 3
[[[.,[.,.]],.],.] => [1,1,0,1,0,0,1,0] => [2,3,1,4] => [1,2,3,4] => 5
[[[[.,.],.],.],.] => [1,1,0,1,0,1,0,0] => [2,3,4,1] => [1,2,3,4] => 5
[.,[.,[.,[.,[.,.]]]]] => [1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => [1,2,3,4,5] => 6
[.,[.,[.,[[.,.],.]]]] => [1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => [1,2,3,4,5] => 6
[.,[.,[[.,.],[.,.]]]] => [1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => [1,2,3,5,4] => 4
[.,[.,[[.,[.,.]],.]]] => [1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => [1,2,3,4,5] => 6
[.,[.,[[[.,.],.],.]]] => [1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => [1,2,3,4,5] => 6
[.,[[.,.],[.,[.,.]]]] => [1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => [1,2,4,3,5] => 4
[.,[[.,.],[[.,.],.]]] => [1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => [1,2,4,5,3] => 4
[.,[[.,[.,.]],[.,.]]] => [1,0,1,1,1,0,1,0,0,0] => [1,5,3,4,2] => [1,2,5,3,4] => 4
[.,[[[.,.],.],[.,.]]] => [1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => [1,2,5,3,4] => 4
[.,[[.,[.,[.,.]]],.]] => [1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => [1,2,3,4,5] => 6
[.,[[.,[[.,.],.]],.]] => [1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => [1,2,3,4,5] => 6
[.,[[[.,.],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => [1,2,3,5,4] => 4
[.,[[[.,[.,.]],.],.]] => [1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => [1,2,3,4,5] => 6
[.,[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => [1,2,3,4,5] => 6
[[.,.],[.,[.,[.,.]]]] => [1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => [1,3,2,4,5] => 4
[[.,.],[.,[[.,.],.]]] => [1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => [1,3,2,4,5] => 4
[[.,.],[[.,.],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => [1,3,5,2,4] => 2
[[.,.],[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => [1,3,4,2,5] => 4
[[.,.],[[[.,.],.],.]] => [1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => [1,3,4,5,2] => 4
[[.,[.,.]],[.,[.,.]]] => [1,1,1,0,1,0,0,0,1,0] => [4,2,3,1,5] => [1,4,2,3,5] => 4
[[.,[.,.]],[[.,.],.]] => [1,1,1,0,1,0,0,1,0,0] => [4,2,3,5,1] => [1,4,5,2,3] => 4
[[[.,.],.],[.,[.,.]]] => [1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => [1,4,2,3,5] => 4
[[[.,.],.],[[.,.],.]] => [1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => [1,4,5,2,3] => 4
[[.,[.,[.,.]]],[.,.]] => [1,1,1,0,1,0,1,0,0,0] => [5,2,3,4,1] => [1,5,2,3,4] => 4
[[.,[[.,.],.]],[.,.]] => [1,1,1,0,1,1,0,0,0,0] => [5,2,4,3,1] => [1,5,2,3,4] => 4
[[[.,.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => [1,5,2,4,3] => 2
[[[.,[.,.]],.],[.,.]] => [1,1,1,1,0,0,1,0,0,0] => [5,3,2,4,1] => [1,5,2,3,4] => 4
[[[[.,.],.],.],[.,.]] => [1,1,1,1,0,1,0,0,0,0] => [5,3,4,2,1] => [1,5,2,3,4] => 4
[[.,[.,[.,[.,.]]]],.] => [1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => [1,2,3,4,5] => 6
[[.,[.,[[.,.],.]]],.] => [1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => [1,2,3,4,5] => 6
[[.,[[.,.],[.,.]]],.] => [1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => [1,2,3,5,4] => 4
[[.,[[.,[.,.]],.]],.] => [1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => [1,2,3,4,5] => 6
[[.,[[[.,.],.],.]],.] => [1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => [1,2,3,4,5] => 6
[[[.,.],[.,[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => [1,2,4,3,5] => 4
[[[.,.],[[.,.],.]],.] => [1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => [1,2,4,5,3] => 4
[[[.,[.,.]],[.,.]],.] => [1,1,0,1,1,0,1,0,0,0] => [2,5,3,4,1] => [1,2,5,3,4] => 4
[[[[.,.],.],[.,.]],.] => [1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => [1,2,5,3,4] => 4
[[[.,[.,[.,.]]],.],.] => [1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => [1,2,3,4,5] => 6
[[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => [1,2,3,4,5] => 6
[[[[.,.],[.,.]],.],.] => [1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => [1,2,3,5,4] => 4
[[[[.,[.,.]],.],.],.] => [1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => [1,2,3,4,5] => 6
[[[[[.,.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => [1,2,3,4,5] => 6
[.,[.,[.,[.,[.,[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 7
[.,[.,[.,[.,[[.,.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 7
[.,[.,[.,[[.,.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => [1,2,3,4,6,5] => 5
[.,[.,[.,[[.,[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 7
[.,[.,[.,[[[.,.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,5,6,4] => [1,2,3,4,5,6] => 7
[.,[.,[[.,.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => [1,2,3,5,4,6] => 5
[.,[.,[[.,.],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,4,6,3] => [1,2,3,5,6,4] => 5
[.,[.,[[.,[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,6,4,5,3] => [1,2,3,6,4,5] => 5
[.,[.,[[[.,.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => [1,2,3,6,4,5] => 5
[.,[.,[[.,[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 7
[.,[.,[[.,[[.,.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => [1,2,3,4,5,6] => 7
[.,[.,[[[.,.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,6,5,3] => [1,2,3,4,6,5] => 5
[.,[.,[[[.,[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => [1,2,3,4,5,6] => 7
[.,[.,[[[[.,.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => [1,2,3,4,5,6] => 7
[.,[[.,.],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => [1,2,4,3,5,6] => 5
[.,[[.,.],[.,[[.,.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,3,2,6,5] => [1,2,4,3,5,6] => 5
[.,[[.,.],[[.,.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => [1,2,4,6,3,5] => 3
[.,[[.,.],[[.,[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => [1,2,4,5,3,6] => 5
[.,[[.,.],[[[.,.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => [1,2,4,5,6,3] => 5
[.,[[.,[.,.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,0,0,1,0] => [1,5,3,4,2,6] => [1,2,5,3,4,6] => 5
[.,[[.,[.,.]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [1,5,3,4,6,2] => [1,2,5,6,3,4] => 5
[.,[[[.,.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => [1,2,5,3,4,6] => 5
[.,[[[.,.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => [1,2,5,6,3,4] => 5
[.,[[.,[.,[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [1,6,3,4,5,2] => [1,2,6,3,4,5] => 5
[.,[[.,[[.,.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [1,6,3,5,4,2] => [1,2,6,3,4,5] => 5
[.,[[[.,.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => [1,2,6,3,5,4] => 3
[.,[[[.,[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [1,6,4,3,5,2] => [1,2,6,3,4,5] => 5
[.,[[[[.,.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [1,6,4,5,3,2] => [1,2,6,3,4,5] => 5
[.,[[.,[.,[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 7
[.,[[.,[.,[[.,.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => [1,2,3,4,5,6] => 7
[.,[[.,[[.,.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,5,4] => [1,2,3,4,6,5] => 5
[.,[[.,[[.,[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => [1,2,3,4,5,6] => 7
[.,[[.,[[[.,.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => [1,2,3,4,5,6] => 7
[.,[[[.,.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,4,2,6] => [1,2,3,5,4,6] => 5
[.,[[[.,.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => [1,2,3,5,6,4] => 5
[.,[[[.,[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,6,4,5,2] => [1,2,3,6,4,5] => 5
[.,[[[[.,.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => [1,2,3,6,4,5] => 5
>>> Load all 1088 entries. <<<[.,[[[.,[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => [1,2,3,4,5,6] => 7
[.,[[[.,[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => [1,2,3,4,5,6] => 7
[.,[[[[.,.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => [1,2,3,4,6,5] => 5
[.,[[[[.,[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => [1,2,3,4,5,6] => 7
[.,[[[[[.,.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => [1,2,3,4,5,6] => 7
[[.,.],[.,[.,[.,[.,.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => [1,3,2,4,5,6] => 5
[[.,.],[.,[.,[[.,.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,4,6,5] => [1,3,2,4,5,6] => 5
[[.,.],[.,[[.,.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => [1,3,2,4,6,5] => 3
[[.,.],[.,[[.,[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1,5,4,6] => [1,3,2,4,5,6] => 5
[[.,.],[.,[[[.,.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => [1,3,2,4,5,6] => 5
[[.,.],[[.,.],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => [1,3,5,2,4,6] => 3
[[.,.],[[.,.],[[.,.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => [1,3,5,6,2,4] => 3
[[.,.],[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,6,4,5,1] => [1,3,6,2,4,5] => 3
[[.,.],[[[.,.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => [1,3,6,2,4,5] => 3
[[.,.],[[.,[.,[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0] => [3,2,4,1,5,6] => [1,3,4,2,5,6] => 5
[[.,.],[[.,[[.,.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => [1,3,4,2,5,6] => 5
[[.,.],[[[.,.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => [1,3,4,6,2,5] => 3
[[.,.],[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => [1,3,4,5,2,6] => 5
[[.,.],[[[[.,.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => [1,3,4,5,6,2] => 5
[[.,[.,.]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,2,3,1,5,6] => [1,4,2,3,5,6] => 5
[[.,[.,.]],[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,2,3,1,6,5] => [1,4,2,3,5,6] => 5
[[.,[.,.]],[[.,.],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,2,3,6,5,1] => [1,4,6,2,3,5] => 3
[[.,[.,.]],[[.,[.,.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,2,3,5,1,6] => [1,4,5,2,3,6] => 5
[[.,[.,.]],[[[.,.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,2,3,5,6,1] => [1,4,5,6,2,3] => 5
[[[.,.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => [1,4,2,3,5,6] => 5
[[[.,.],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => [1,4,2,3,5,6] => 5
[[[.,.],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => [1,4,6,2,3,5] => 3
[[[.,.],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => [1,4,5,2,3,6] => 5
[[[.,.],.],[[[.,.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => [1,4,5,6,2,3] => 5
[[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,3,4,1,6] => [1,5,2,3,4,6] => 5
[[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [5,2,3,4,6,1] => [1,5,6,2,3,4] => 5
[[.,[[.,.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,0,0,1,0] => [5,2,4,3,1,6] => [1,5,2,3,4,6] => 5
[[.,[[.,.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,4,3,6,1] => [1,5,6,2,3,4] => 5
[[[.,.],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => 3
[[[.,.],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => 3
[[[.,[.,.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,0,0,0,1,0] => [5,3,2,4,1,6] => [1,5,2,3,4,6] => 5
[[[.,[.,.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => [1,5,6,2,3,4] => 5
[[[[.,.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,3,4,2,1,6] => [1,5,2,3,4,6] => 5
[[[[.,.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,3,4,2,6,1] => [1,5,6,2,3,4] => 5
[[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => 5
[[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => 5
[[.,[[.,.],[.,.]]],[.,.]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => 3
[[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => 5
[[.,[[[.,.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [6,2,4,5,3,1] => [1,6,2,3,4,5] => 5
[[[.,.],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => [1,5,2,4,3,6] => 3
[[[.,.],[[.,.],.]],[.,.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => [1,5,6,2,4,3] => 3
[[[.,[.,.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => 3
[[[[.,.],.],[.,.]],[.,.]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [6,4,3,5,2,1] => [1,6,2,4,5,3] => 3
[[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => 5
[[[.,[[.,.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => 5
[[[[.,.],[.,.]],.],[.,.]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [6,3,5,4,2,1] => [1,6,2,3,5,4] => 3
[[[[.,[.,.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [6,3,4,2,5,1] => [1,6,2,3,4,5] => 5
[[[[[.,.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [6,3,4,5,2,1] => [1,6,2,3,4,5] => 5
[[.,[.,[.,[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => 7
[[.,[.,[.,[[.,.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => [1,2,3,4,5,6] => 7
[[.,[.,[[.,.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,5,4] => [1,2,3,4,6,5] => 5
[[.,[.,[[.,[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => [1,2,3,4,5,6] => 7
[[.,[.,[[[.,.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => [1,2,3,4,5,6] => 7
[[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,4,3,6] => [1,2,3,5,4,6] => 5
[[.,[[.,.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => [1,2,3,5,6,4] => 5
[[.,[[.,[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,6,4,5,3] => [1,2,3,6,4,5] => 5
[[.,[[[.,.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3] => [1,2,3,6,4,5] => 5
[[.,[[.,[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => [1,2,3,4,5,6] => 7
[[.,[[.,[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => [1,2,3,4,5,6] => 7
[[.,[[[.,.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => [1,2,3,4,6,5] => 5
[[.,[[[.,[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => [1,2,3,4,5,6] => 7
[[.,[[[[.,.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => [1,2,3,4,5,6] => 7
[[[.,.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => [1,2,4,3,5,6] => 5
[[[.,.],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => [1,2,4,3,5,6] => 5
[[[.,.],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => [1,2,4,6,3,5] => 3
[[[.,.],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => [1,2,4,5,3,6] => 5
[[[.,.],[[[.,.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => [1,2,4,5,6,3] => 5
[[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [2,5,3,4,1,6] => [1,2,5,3,4,6] => 5
[[[.,[.,.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0] => [2,5,3,4,6,1] => [1,2,5,6,3,4] => 5
[[[[.,.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => [1,2,5,3,4,6] => 5
[[[[.,.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => [1,2,5,6,3,4] => 5
[[[.,[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,0,0] => [2,6,3,4,5,1] => [1,2,6,3,4,5] => 5
[[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,0,0] => [2,6,3,5,4,1] => [1,2,6,3,4,5] => 5
[[[[.,.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => [1,2,6,3,5,4] => 3
[[[[.,[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,0,0] => [2,6,4,3,5,1] => [1,2,6,3,4,5] => 5
[[[[[.,.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,0,0] => [2,6,4,5,3,1] => [1,2,6,3,4,5] => 5
[[[.,[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => [1,2,3,4,5,6] => 7
[[[.,[.,[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => [1,2,3,4,5,6] => 7
[[[.,[[.,.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => [1,2,3,4,6,5] => 5
[[[.,[[.,[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => [1,2,3,4,5,6] => 7
[[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => [1,2,3,4,5,6] => 7
[[[[.,.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => [1,2,3,5,4,6] => 5
[[[[.,.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => [1,2,3,5,6,4] => 5
[[[[.,[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,6,4,5,1] => [1,2,3,6,4,5] => 5
[[[[[.,.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => [1,2,3,6,4,5] => 5
[[[[.,[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => [1,2,3,4,5,6] => 7
[[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => [1,2,3,4,5,6] => 7
[[[[[.,.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => 5
[[[[[.,[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => [1,2,3,4,5,6] => 7
[[[[[[.,.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => 7
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 8
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 8
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => 6
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 8
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => 8
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => 6
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,6,5,7,4] => [1,2,3,4,6,7,5] => 6
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,7,5,6,4] => [1,2,3,4,7,5,6] => 6
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,7,6,5,4] => [1,2,3,4,7,5,6] => 6
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 8
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => 8
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => 6
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => 8
[.,[.,[.,[[[[.,.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => 8
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,5,4,3,6,7] => [1,2,3,5,4,6,7] => 6
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,2,5,4,3,7,6] => [1,2,3,5,4,6,7] => 6
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,5,4,7,6,3] => [1,2,3,5,7,4,6] => 4
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,5,4,6,3,7] => [1,2,3,5,6,4,7] => 6
[.,[.,[[.,.],[[[.,.],.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,2,5,4,6,7,3] => [1,2,3,5,6,7,4] => 6
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,2,6,4,5,3,7] => [1,2,3,6,4,5,7] => 6
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,2,6,4,5,7,3] => [1,2,3,6,7,4,5] => 6
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,6,5,4,3,7] => [1,2,3,6,4,5,7] => 6
[.,[.,[[[.,.],.],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,6,5,4,7,3] => [1,2,3,6,7,4,5] => 6
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,2,7,4,5,6,3] => [1,2,3,7,4,5,6] => 6
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,7,4,6,5,3] => [1,2,3,7,4,5,6] => 6
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,7,6,5,4,3] => [1,2,3,7,4,6,5] => 4
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,7,5,4,6,3] => [1,2,3,7,4,5,6] => 6
[.,[.,[[[[.,.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,7,5,6,4,3] => [1,2,3,7,4,5,6] => 6
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 8
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => 8
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => 6
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => 8
[.,[.,[[.,[[[.,.],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,4,3,6,7,5] => [1,2,3,4,5,6,7] => 8
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,4,6,5,3,7] => [1,2,3,4,6,5,7] => 6
[.,[.,[[[.,.],[[.,.],.]],.]]] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,4,6,5,7,3] => [1,2,3,4,6,7,5] => 6
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,4,7,5,6,3] => [1,2,3,4,7,5,6] => 6
[.,[.,[[[[.,.],.],[.,.]],.]]] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,4,7,6,5,3] => [1,2,3,4,7,5,6] => 6
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => 8
[.,[.,[[[.,[[.,.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => 8
[.,[.,[[[[.,.],[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,4,5,7,6,3] => [1,2,3,4,5,7,6] => 6
[.,[.,[[[[.,[.,.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => 8
[.,[.,[[[[[.,.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => 8
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,4,3,2,5,6,7] => [1,2,4,3,5,6,7] => 6
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,4,3,2,5,7,6] => [1,2,4,3,5,6,7] => 6
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,4,3,2,7,6,5] => [1,2,4,3,5,7,6] => 4
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,4,3,2,6,5,7] => [1,2,4,3,5,6,7] => 6
[.,[[.,.],[.,[[[.,.],.],.]]]] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,4,3,2,6,7,5] => [1,2,4,3,5,6,7] => 6
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,3,6,5,2,7] => [1,2,4,6,3,5,7] => 4
[.,[[.,.],[[.,.],[[.,.],.]]]] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,3,6,5,7,2] => [1,2,4,6,7,3,5] => 4
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,3,7,5,6,2] => [1,2,4,7,3,5,6] => 4
[.,[[.,.],[[[.,.],.],[.,.]]]] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,3,7,6,5,2] => [1,2,4,7,3,5,6] => 4
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,3,5,2,6,7] => [1,2,4,5,3,6,7] => 6
[.,[[.,.],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,3,5,2,7,6] => [1,2,4,5,3,6,7] => 6
[.,[[.,.],[[[.,.],[.,.]],.]]] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,3,5,7,6,2] => [1,2,4,5,7,3,6] => 4
[.,[[.,.],[[[.,[.,.]],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,3,5,6,2,7] => [1,2,4,5,6,3,7] => 6
[.,[[.,.],[[[[.,.],.],.],.]]] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,3,5,6,7,2] => [1,2,4,5,6,7,3] => 6
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,5,3,4,2,6,7] => [1,2,5,3,4,6,7] => 6
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,5,3,4,2,7,6] => [1,2,5,3,4,6,7] => 6
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,5,3,4,7,6,2] => [1,2,5,7,3,4,6] => 4
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,5,3,4,6,2,7] => [1,2,5,6,3,4,7] => 6
[.,[[.,[.,.]],[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,5,3,4,6,7,2] => [1,2,5,6,7,3,4] => 6
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,5,4,3,2,6,7] => [1,2,5,3,4,6,7] => 6
[.,[[[.,.],.],[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [1,5,4,3,2,7,6] => [1,2,5,3,4,6,7] => 6
[.,[[[.,.],.],[[.,.],[.,.]]]] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [1,5,4,3,7,6,2] => [1,2,5,7,3,4,6] => 4
[.,[[[.,.],.],[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [1,5,4,3,6,2,7] => [1,2,5,6,3,4,7] => 6
[.,[[[.,.],.],[[[.,.],.],.]]] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [1,5,4,3,6,7,2] => [1,2,5,6,7,3,4] => 6
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,6,3,4,5,2,7] => [1,2,6,3,4,5,7] => 6
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,6,3,4,5,7,2] => [1,2,6,7,3,4,5] => 6
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,6,3,5,4,2,7] => [1,2,6,3,4,5,7] => 6
[.,[[.,[[.,.],.]],[[.,.],.]]] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,6,3,5,4,7,2] => [1,2,6,7,3,4,5] => 6
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,7,6,4,5,3,2] => [1,2,7,3,6,4,5] => 4
[.,[[[.,.],[.,.]],[[.,.],.]]] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => [1,2,7,3,6,4,5] => 4
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,6,4,3,5,2,7] => [1,2,6,3,4,5,7] => 6
[.,[[[.,[.,.]],.],[[.,.],.]]] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [1,6,4,3,5,7,2] => [1,2,6,7,3,4,5] => 6
[.,[[[[.,.],.],.],[.,[.,.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [1,6,4,5,3,2,7] => [1,2,6,3,4,5,7] => 6
[.,[[[[.,.],.],.],[[.,.],.]]] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [1,6,4,5,3,7,2] => [1,2,6,7,3,4,5] => 6
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,7,3,4,5,6,2] => [1,2,7,3,4,5,6] => 6
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,7,3,4,6,5,2] => [1,2,7,3,4,5,6] => 6
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,7,3,6,5,4,2] => [1,2,7,3,4,6,5] => 4
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [1,7,3,5,4,6,2] => [1,2,7,3,4,5,6] => 6
[.,[[.,[[[.,.],.],.]],[.,.]]] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,7,3,5,6,4,2] => [1,2,7,3,4,5,6] => 6
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,6,5,4,3,2,7] => [1,2,6,3,5,4,7] => 4
[.,[[[.,.],[[.,.],.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => [1,2,6,7,3,5,4] => 4
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,7,5,4,3,6,2] => [1,2,7,3,5,4,6] => 4
[.,[[[[.,.],.],[.,.]],[.,.]]] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,7,5,4,6,3,2] => [1,2,7,3,5,6,4] => 4
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,7,4,3,5,6,2] => [1,2,7,3,4,5,6] => 6
[.,[[[.,[[.,.],.]],.],[.,.]]] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,7,4,3,6,5,2] => [1,2,7,3,4,5,6] => 6
[.,[[[[.,.],[.,.]],.],[.,.]]] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,7,4,6,5,3,2] => [1,2,7,3,4,6,5] => 4
[.,[[[[.,[.,.]],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,7,4,5,3,6,2] => [1,2,7,3,4,5,6] => 6
[.,[[[[[.,.],.],.],.],[.,.]]] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,7,4,5,6,3,2] => [1,2,7,3,4,5,6] => 6
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 8
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => 8
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => 6
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => 8
[.,[[.,[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => 8
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,6,5,4,7] => [1,2,3,4,6,5,7] => 6
[.,[[.,[[.,.],[[.,.],.]]],.]] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,5,7,4] => [1,2,3,4,6,7,5] => 6
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,2,7,5,6,4] => [1,2,3,4,7,5,6] => 6
[.,[[.,[[[.,.],.],[.,.]]],.]] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,7,6,5,4] => [1,2,3,4,7,5,6] => 6
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => 8
[.,[[.,[[.,[[.,.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => 8
[.,[[.,[[[.,.],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,2,5,7,6,4] => [1,2,3,4,5,7,6] => 6
[.,[[.,[[[.,[.,.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,2,5,6,4,7] => [1,2,3,4,5,6,7] => 8
[.,[[.,[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,2,5,6,7,4] => [1,2,3,4,5,6,7] => 8
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,3,5,4,2,6,7] => [1,2,3,5,4,6,7] => 6
[.,[[[.,.],[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,3,5,4,2,7,6] => [1,2,3,5,4,6,7] => 6
[.,[[[.,.],[[.,.],[.,.]]],.]] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,4,7,6,2] => [1,2,3,5,7,4,6] => 4
[.,[[[.,.],[[.,[.,.]],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,3,5,4,6,2,7] => [1,2,3,5,6,4,7] => 6
[.,[[[.,.],[[[.,.],.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,5,4,6,7,2] => [1,2,3,5,6,7,4] => 6
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,3,6,4,5,2,7] => [1,2,3,6,4,5,7] => 6
[.,[[[.,[.,.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,6,4,5,7,2] => [1,2,3,6,7,4,5] => 6
[.,[[[[.,.],.],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,3,6,5,4,2,7] => [1,2,3,6,4,5,7] => 6
[.,[[[[.,.],.],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,6,5,4,7,2] => [1,2,3,6,7,4,5] => 6
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,7,4,5,6,2] => [1,2,3,7,4,5,6] => 6
[.,[[[.,[[.,.],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,7,4,6,5,2] => [1,2,3,7,4,5,6] => 6
[.,[[[[.,.],[.,.]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => [1,2,3,7,4,6,5] => 4
[.,[[[[.,[.,.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,7,5,4,6,2] => [1,2,3,7,4,5,6] => 6
[.,[[[[[.,.],.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,7,5,6,4,2] => [1,2,3,7,4,5,6] => 6
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => 8
[.,[[[.,[.,[[.,.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => 8
[.,[[[.,[[.,.],[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => 6
[.,[[[.,[[.,[.,.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,4,2,6,5,7] => [1,2,3,4,5,6,7] => 8
[.,[[[.,[[[.,.],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => 8
[.,[[[[.,.],[.,[.,.]]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,3,4,6,5,2,7] => [1,2,3,4,6,5,7] => 6
[.,[[[[.,.],[[.,.],.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,4,6,5,7,2] => [1,2,3,4,6,7,5] => 6
[.,[[[[.,[.,.]],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,4,7,5,6,2] => [1,2,3,4,7,5,6] => 6
[.,[[[[[.,.],.],[.,.]],.],.]] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,4,7,6,5,2] => [1,2,3,4,7,5,6] => 6
[.,[[[[.,[.,[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => 8
[.,[[[[.,[[.,.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,2,7,6] => [1,2,3,4,5,6,7] => 8
[.,[[[[[.,.],[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,7,6,2] => [1,2,3,4,5,7,6] => 6
[.,[[[[[.,[.,.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,2,7] => [1,2,3,4,5,6,7] => 8
[.,[[[[[[.,.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => 8
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => 6
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [3,2,1,4,5,7,6] => [1,3,2,4,5,6,7] => 6
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [3,2,1,4,7,6,5] => [1,3,2,4,5,7,6] => 4
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [3,2,1,4,6,5,7] => [1,3,2,4,5,6,7] => 6
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [3,2,1,4,6,7,5] => [1,3,2,4,5,6,7] => 6
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [3,2,1,6,5,4,7] => [1,3,2,4,6,5,7] => 4
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [3,2,1,6,5,7,4] => [1,3,2,4,6,7,5] => 4
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [3,2,1,7,5,6,4] => [1,3,2,4,7,5,6] => 4
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,2,1,7,6,5,4] => [1,3,2,4,7,5,6] => 4
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [3,2,1,5,4,6,7] => [1,3,2,4,5,6,7] => 6
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => 6
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [3,2,1,5,7,6,4] => [1,3,2,4,5,7,6] => 4
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [3,2,1,5,6,4,7] => [1,3,2,4,5,6,7] => 6
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => 6
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [3,2,5,4,1,6,7] => [1,3,5,2,4,6,7] => 4
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [3,2,5,4,1,7,6] => [1,3,5,2,4,6,7] => 4
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [3,2,5,4,7,6,1] => [1,3,5,7,2,4,6] => 2
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [3,2,5,4,6,1,7] => [1,3,5,6,2,4,7] => 4
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [3,2,5,4,6,7,1] => [1,3,5,6,7,2,4] => 4
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [3,2,6,4,5,1,7] => [1,3,6,2,4,5,7] => 4
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [3,2,6,4,5,7,1] => [1,3,6,7,2,4,5] => 4
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [3,2,6,5,4,1,7] => [1,3,6,2,4,5,7] => 4
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [3,2,6,5,4,7,1] => [1,3,6,7,2,4,5] => 4
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [3,2,7,4,5,6,1] => [1,3,7,2,4,5,6] => 4
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,2,7,4,6,5,1] => [1,3,7,2,4,5,6] => 4
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [3,2,7,6,5,4,1] => [1,3,7,2,4,6,5] => 2
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [3,2,7,5,4,6,1] => [1,3,7,2,4,5,6] => 4
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,2,7,5,6,4,1] => [1,3,7,2,4,5,6] => 4
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [3,2,4,1,5,6,7] => [1,3,4,2,5,6,7] => 6
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [3,2,4,1,5,7,6] => [1,3,4,2,5,6,7] => 6
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [3,2,4,1,7,6,5] => [1,3,4,2,5,7,6] => 4
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [3,2,4,1,6,5,7] => [1,3,4,2,5,6,7] => 6
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [3,2,4,1,6,7,5] => [1,3,4,2,5,6,7] => 6
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [3,2,4,6,5,1,7] => [1,3,4,6,2,5,7] => 4
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [3,2,4,6,5,7,1] => [1,3,4,6,7,2,5] => 4
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [3,2,4,7,5,6,1] => [1,3,4,7,2,5,6] => 4
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,2,4,7,6,5,1] => [1,3,4,7,2,5,6] => 4
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [3,2,4,5,1,6,7] => [1,3,4,5,2,6,7] => 6
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [3,2,4,5,1,7,6] => [1,3,4,5,2,6,7] => 6
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [3,2,4,5,7,6,1] => [1,3,4,5,7,2,6] => 4
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [3,2,4,5,6,1,7] => [1,3,4,5,6,2,7] => 6
[[.,.],[[[[[.,.],.],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,1] => [1,3,4,5,6,7,2] => 6
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,2,3,1,5,6,7] => [1,4,2,3,5,6,7] => 6
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,2,3,1,5,7,6] => [1,4,2,3,5,6,7] => 6
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,2,3,1,7,6,5] => [1,4,2,3,5,7,6] => 4
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,2,3,1,6,5,7] => [1,4,2,3,5,6,7] => 6
[[.,[.,.]],[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,2,3,1,6,7,5] => [1,4,2,3,5,6,7] => 6
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,2,3,6,5,1,7] => [1,4,6,2,3,5,7] => 4
[[.,[.,.]],[[.,.],[[.,.],.]]] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [4,2,3,6,5,7,1] => [1,4,6,7,2,3,5] => 4
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,2,3,7,5,6,1] => [1,4,7,2,3,5,6] => 4
[[.,[.,.]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,2,3,7,6,5,1] => [1,4,7,2,3,5,6] => 4
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [4,2,3,5,1,6,7] => [1,4,5,2,3,6,7] => 6
[[.,[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [4,2,3,5,1,7,6] => [1,4,5,2,3,6,7] => 6
[[.,[.,.]],[[[.,.],[.,.]],.]] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [4,2,3,5,7,6,1] => [1,4,5,7,2,3,6] => 4
[[.,[.,.]],[[[.,[.,.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [4,2,3,5,6,1,7] => [1,4,5,6,2,3,7] => 6
[[.,[.,.]],[[[[.,.],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,2,3,5,6,7,1] => [1,4,5,6,7,2,3] => 6
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => [1,4,2,3,5,6,7] => 6
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [4,3,2,1,5,7,6] => [1,4,2,3,5,6,7] => 6
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,3,2,1,7,6,5] => [1,4,2,3,5,7,6] => 4
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [4,3,2,1,6,5,7] => [1,4,2,3,5,6,7] => 6
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [4,3,2,1,6,7,5] => [1,4,2,3,5,6,7] => 6
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [4,3,2,6,5,1,7] => [1,4,6,2,3,5,7] => 4
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [4,3,2,6,5,7,1] => [1,4,6,7,2,3,5] => 4
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,3,2,7,5,6,1] => [1,4,7,2,3,5,6] => 4
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [4,3,2,7,6,5,1] => [1,4,7,2,3,5,6] => 4
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [4,3,2,5,1,6,7] => [1,4,5,2,3,6,7] => 6
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [4,3,2,5,1,7,6] => [1,4,5,2,3,6,7] => 6
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,3,2,5,7,6,1] => [1,4,5,7,2,3,6] => 4
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [4,3,2,5,6,1,7] => [1,4,5,6,2,3,7] => 6
[[[.,.],.],[[[[.,.],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => [1,4,5,6,7,2,3] => 6
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [5,2,3,4,7,6,1] => [1,5,7,2,3,4,6] => 4
[[.,[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,2,3,4,6,7,1] => [1,5,6,7,2,3,4] => 6
[[.,[[.,.],.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [5,2,4,3,7,6,1] => [1,5,7,2,3,4,6] => 4
[[.,[[.,.],.]],[[[.,.],.],.]] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [5,2,4,3,6,7,1] => [1,5,6,7,2,3,4] => 6
[[[.,[.,.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [5,3,2,4,7,6,1] => [1,5,7,2,3,4,6] => 4
[[[.,[.,.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,3,2,4,6,7,1] => [1,5,6,7,2,3,4] => 6
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,3,4,2,7,6,1] => [1,5,7,2,3,4,6] => 4
[[[[.,.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,3,4,2,6,7,1] => [1,5,6,7,2,3,4] => 6
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [6,2,3,4,5,7,1] => [1,6,7,2,3,4,5] => 6
[[.,[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [6,2,3,5,4,7,1] => [1,6,7,2,3,4,5] => 6
[[.,[[.,[.,.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [6,2,4,3,5,7,1] => [1,6,7,2,3,4,5] => 6
[[.,[[[.,.],.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [6,2,4,5,3,7,1] => [1,6,7,2,3,4,5] => 6
[[[.,[.,[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [6,3,2,4,5,7,1] => [1,6,7,2,3,4,5] => 6
[[[.,[[.,.],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [6,3,2,5,4,7,1] => [1,6,7,2,3,4,5] => 6
[[[[.,[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [6,3,4,2,5,7,1] => [1,6,7,2,3,4,5] => 6
[[[[[.,.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [6,3,4,5,2,7,1] => [1,6,7,2,3,4,5] => 6
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [7,2,3,4,5,6,1] => [1,7,2,3,4,5,6] => 6
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [7,2,3,4,6,5,1] => [1,7,2,3,4,5,6] => 6
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [7,2,3,5,4,6,1] => [1,7,2,3,4,5,6] => 6
[[.,[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [7,2,3,5,6,4,1] => [1,7,2,3,4,5,6] => 6
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [7,2,4,3,5,6,1] => [1,7,2,3,4,5,6] => 6
[[.,[[.,[[.,.],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [7,2,4,3,6,5,1] => [1,7,2,3,4,5,6] => 6
[[.,[[[.,[.,.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [7,2,4,5,3,6,1] => [1,7,2,3,4,5,6] => 6
[[.,[[[[.,.],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [7,2,4,5,6,3,1] => [1,7,2,3,4,5,6] => 6
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [7,3,2,4,5,6,1] => [1,7,2,3,4,5,6] => 6
[[[.,[.,[[.,.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [7,3,2,4,6,5,1] => [1,7,2,3,4,5,6] => 6
[[[.,[[.,[.,.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [7,3,2,5,4,6,1] => [1,7,2,3,4,5,6] => 6
[[[.,[[[.,.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [7,3,2,5,6,4,1] => [1,7,2,3,4,5,6] => 6
[[[[.,[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [7,3,4,2,5,6,1] => [1,7,2,3,4,5,6] => 6
[[[[.,[[.,.],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [7,3,4,2,6,5,1] => [1,7,2,3,4,5,6] => 6
[[[[[.,[.,.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [7,3,4,5,2,6,1] => [1,7,2,3,4,5,6] => 6
[[[[[[.,.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [7,3,4,5,6,2,1] => [1,7,2,3,4,5,6] => 6
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 8
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => 8
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => 6
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => 8
[[.,[.,[.,[[[.,.],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => 8
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [2,1,3,6,5,4,7] => [1,2,3,4,6,5,7] => 6
[[.,[.,[[.,.],[[.,.],.]]]],.] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [2,1,3,6,5,7,4] => [1,2,3,4,6,7,5] => 6
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,7,5,6,4] => [1,2,3,4,7,5,6] => 6
[[.,[.,[[[.,.],.],[.,.]]]],.] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,7,6,5,4] => [1,2,3,4,7,5,6] => 6
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => 8
[[.,[.,[[.,[[.,.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => 8
[[.,[.,[[[.,.],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [2,1,3,5,7,6,4] => [1,2,3,4,5,7,6] => 6
[[.,[.,[[[.,[.,.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,5,6,4,7] => [1,2,3,4,5,6,7] => 8
[[.,[.,[[[[.,.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,1,3,5,6,7,4] => [1,2,3,4,5,6,7] => 8
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [2,1,5,4,3,6,7] => [1,2,3,5,4,6,7] => 6
[[.,[[.,.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [2,1,5,4,3,7,6] => [1,2,3,5,4,6,7] => 6
[[.,[[.,.],[[.,.],[.,.]]]],.] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,4,7,6,3] => [1,2,3,5,7,4,6] => 4
[[.,[[.,.],[[.,[.,.]],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,4,6,3,7] => [1,2,3,5,6,4,7] => 6
[[.,[[.,.],[[[.,.],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,4,6,7,3] => [1,2,3,5,6,7,4] => 6
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [2,1,6,4,5,3,7] => [1,2,3,6,4,5,7] => 6
[[.,[[.,[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,1,6,4,5,7,3] => [1,2,3,6,7,4,5] => 6
[[.,[[[.,.],.],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [2,1,6,5,4,3,7] => [1,2,3,6,4,5,7] => 6
[[.,[[[.,.],.],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [2,1,6,5,4,7,3] => [1,2,3,6,7,4,5] => 6
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,1,7,4,5,6,3] => [1,2,3,7,4,5,6] => 6
[[.,[[.,[[.,.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [2,1,7,4,6,5,3] => [1,2,3,7,4,5,6] => 6
[[.,[[[.,.],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => [1,2,3,7,4,6,5] => 4
[[.,[[[.,[.,.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [2,1,7,5,4,6,3] => [1,2,3,7,4,5,6] => 6
[[.,[[[[.,.],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [2,1,7,5,6,4,3] => [1,2,3,7,4,5,6] => 6
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => 8
[[.,[[.,[.,[[.,.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => 8
[[.,[[.,[[.,.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => 6
[[.,[[.,[[.,[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => 8
[[.,[[.,[[[.,.],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => 8
[[.,[[[.,.],[.,[.,.]]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => 6
[[.,[[[.,.],[[.,.],.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [2,1,4,6,5,7,3] => [1,2,3,4,6,7,5] => 6
[[.,[[[.,[.,.]],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,1,4,7,5,6,3] => [1,2,3,4,7,5,6] => 6
[[.,[[[[.,.],.],[.,.]],.]],.] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [2,1,4,7,6,5,3] => [1,2,3,4,7,5,6] => 6
[[.,[[[.,[.,[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,1,4,5,3,6,7] => [1,2,3,4,5,6,7] => 8
[[.,[[[.,[[.,.],.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => 8
[[.,[[[[.,.],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,1,4,5,7,6,3] => [1,2,3,4,5,7,6] => 6
[[.,[[[[.,[.,.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => 8
[[.,[[[[[.,.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => 8
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,4,3,1,5,6,7] => [1,2,4,3,5,6,7] => 6
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,4,3,1,5,7,6] => [1,2,4,3,5,6,7] => 6
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [2,4,3,1,7,6,5] => [1,2,4,3,5,7,6] => 4
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,4,3,1,6,5,7] => [1,2,4,3,5,6,7] => 6
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [2,4,3,1,6,7,5] => [1,2,4,3,5,6,7] => 6
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [2,4,3,6,5,1,7] => [1,2,4,6,3,5,7] => 4
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [2,4,3,6,5,7,1] => [1,2,4,6,7,3,5] => 4
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [2,4,3,7,5,6,1] => [1,2,4,7,3,5,6] => 4
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [2,4,3,7,6,5,1] => [1,2,4,7,3,5,6] => 4
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [2,4,3,5,1,6,7] => [1,2,4,5,3,6,7] => 6
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [2,4,3,5,1,7,6] => [1,2,4,5,3,6,7] => 6
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [2,4,3,5,7,6,1] => [1,2,4,5,7,3,6] => 4
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [2,4,3,5,6,1,7] => [1,2,4,5,6,3,7] => 6
[[[.,.],[[[[.,.],.],.],.]],.] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,4,3,5,6,7,1] => [1,2,4,5,6,7,3] => 6
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,5,3,4,1,6,7] => [1,2,5,3,4,6,7] => 6
[[[.,[.,.]],[.,[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,5,3,4,1,7,6] => [1,2,5,3,4,6,7] => 6
[[[.,[.,.]],[[.,.],[.,.]]],.] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [2,5,3,4,7,6,1] => [1,2,5,7,3,4,6] => 4
[[[.,[.,.]],[[.,[.,.]],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [2,5,3,4,6,1,7] => [1,2,5,6,3,4,7] => 6
[[[.,[.,.]],[[[.,.],.],.]],.] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [2,5,3,4,6,7,1] => [1,2,5,6,7,3,4] => 6
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,5,4,3,1,6,7] => [1,2,5,3,4,6,7] => 6
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,5,4,3,1,7,6] => [1,2,5,3,4,6,7] => 6
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [2,5,4,3,7,6,1] => [1,2,5,7,3,4,6] => 4
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [2,5,4,3,6,1,7] => [1,2,5,6,3,4,7] => 6
[[[[.,.],.],[[[.,.],.],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [2,5,4,3,6,7,1] => [1,2,5,6,7,3,4] => 6
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [2,6,3,4,5,1,7] => [1,2,6,3,4,5,7] => 6
[[[.,[.,[.,.]]],[[.,.],.]],.] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [2,6,3,4,5,7,1] => [1,2,6,7,3,4,5] => 6
[[[.,[[.,.],.]],[.,[.,.]]],.] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [2,6,3,5,4,1,7] => [1,2,6,3,4,5,7] => 6
[[[.,[[.,.],.]],[[.,.],.]],.] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [2,6,3,5,4,7,1] => [1,2,6,7,3,4,5] => 6
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,7,6,4,5,3,1] => [1,2,7,3,6,4,5] => 4
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,7,6,5,4,3,1] => [1,2,7,3,6,4,5] => 4
[[[[.,[.,.]],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,6,4,3,5,1,7] => [1,2,6,3,4,5,7] => 6
[[[[.,[.,.]],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [2,6,4,3,5,7,1] => [1,2,6,7,3,4,5] => 6
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,6,4,5,3,1,7] => [1,2,6,3,4,5,7] => 6
[[[[[.,.],.],.],[[.,.],.]],.] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [2,6,4,5,3,7,1] => [1,2,6,7,3,4,5] => 6
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => 6
[[[.,[.,[[.,.],.]]],[.,.]],.] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,7,3,4,6,5,1] => [1,2,7,3,4,5,6] => 6
[[[.,[[.,.],[.,.]]],[.,.]],.] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,7,3,6,5,4,1] => [1,2,7,3,4,6,5] => 4
[[[.,[[.,[.,.]],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [2,7,3,5,4,6,1] => [1,2,7,3,4,5,6] => 6
[[[.,[[[.,.],.],.]],[.,.]],.] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,7,3,5,6,4,1] => [1,2,7,3,4,5,6] => 6
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => [1,2,6,3,5,4,7] => 4
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [2,6,5,4,3,7,1] => [1,2,6,7,3,5,4] => 4
[[[[.,[.,.]],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,7,5,4,3,6,1] => [1,2,7,3,5,4,6] => 4
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [2,7,5,4,6,3,1] => [1,2,7,3,5,6,4] => 4
[[[[.,[.,[.,.]]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,7,4,3,5,6,1] => [1,2,7,3,4,5,6] => 6
[[[[.,[[.,.],.]],.],[.,.]],.] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [2,7,4,3,6,5,1] => [1,2,7,3,4,5,6] => 6
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => 4
[[[[[.,[.,.]],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,7,4,5,3,6,1] => [1,2,7,3,4,5,6] => 6
[[[[[[.,.],.],.],.],[.,.]],.] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => 6
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => 8
[[[.,[.,[.,[[.,.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => 8
[[[.,[.,[[.,.],[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,3,1,4,7,6,5] => [1,2,3,4,5,7,6] => 6
[[[.,[.,[[.,[.,.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,3,1,4,6,5,7] => [1,2,3,4,5,6,7] => 8
[[[.,[.,[[[.,.],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => 8
[[[.,[[.,.],[.,[.,.]]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,3,1,6,5,4,7] => [1,2,3,4,6,5,7] => 6
[[[.,[[.,.],[[.,.],.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [2,3,1,6,5,7,4] => [1,2,3,4,6,7,5] => 6
[[[.,[[.,[.,.]],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,3,1,7,5,6,4] => [1,2,3,4,7,5,6] => 6
[[[.,[[[.,.],.],[.,.]]],.],.] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,1,7,6,5,4] => [1,2,3,4,7,5,6] => 6
[[[.,[[.,[.,[.,.]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,3,1,5,4,6,7] => [1,2,3,4,5,6,7] => 8
[[[.,[[.,[[.,.],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => 8
[[[.,[[[.,.],[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,3,1,5,7,6,4] => [1,2,3,4,5,7,6] => 6
[[[.,[[[.,[.,.]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,3,1,5,6,4,7] => [1,2,3,4,5,6,7] => 8
[[[.,[[[[.,.],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => 8
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [2,3,5,4,1,6,7] => [1,2,3,5,4,6,7] => 6
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [2,3,5,4,1,7,6] => [1,2,3,5,4,6,7] => 6
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [2,3,5,4,7,6,1] => [1,2,3,5,7,4,6] => 4
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [2,3,5,4,6,1,7] => [1,2,3,5,6,4,7] => 6
[[[[.,.],[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [2,3,5,4,6,7,1] => [1,2,3,5,6,7,4] => 6
[[[[.,[.,.]],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [2,3,6,4,5,1,7] => [1,2,3,6,4,5,7] => 6
[[[[.,[.,.]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [2,3,6,4,5,7,1] => [1,2,3,6,7,4,5] => 6
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [2,3,6,5,4,1,7] => [1,2,3,6,4,5,7] => 6
[[[[[.,.],.],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [2,3,6,5,4,7,1] => [1,2,3,6,7,4,5] => 6
[[[[.,[.,[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => 6
[[[[.,[[.,.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [2,3,7,4,6,5,1] => [1,2,3,7,4,5,6] => 6
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,3,7,6,5,4,1] => [1,2,3,7,4,6,5] => 4
[[[[[.,[.,.]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [2,3,7,5,4,6,1] => [1,2,3,7,4,5,6] => 6
[[[[[[.,.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => 6
[[[[.,[.,[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => 8
[[[[.,[.,[[.,.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => 8
[[[[.,[[.,.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => 6
[[[[.,[[.,[.,.]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => 8
[[[[.,[[[.,.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => 8
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,3,4,6,5,1,7] => [1,2,3,4,6,5,7] => 6
[[[[[.,.],[[.,.],.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [2,3,4,6,5,7,1] => [1,2,3,4,6,7,5] => 6
[[[[[.,[.,.]],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => 6
[[[[[[.,.],.],[.,.]],.],.],.] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => 6
[[[[[.,[.,[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => 8
[[[[[.,[[.,.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => 8
[[[[[[.,.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => 6
[[[[[[.,[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => 8
[[[[[[[.,.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => 8
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,3,4,7,6,5,8] => [1,2,3,4,5,7,6,8] => 7
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,4,8,6,7,5] => [1,2,3,4,5,8,6,7] => 7
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => 7
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,4,6,8,7,5] => [1,2,3,4,5,6,8,7] => 7
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,3,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,3,5,7,6,4,8] => [1,2,3,4,5,7,6,8] => 7
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,3,5,8,6,7,4] => [1,2,3,4,5,8,6,7] => 7
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,3,5,8,7,6,4] => [1,2,3,4,5,8,6,7] => 7
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,3,5,6,8,7,4] => [1,2,3,4,5,6,8,7] => 7
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,3,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,5,4,3,6,7,8] => [1,2,3,5,4,6,7,8] => 7
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,5,4,3,6,8,7] => [1,2,3,5,4,6,7,8] => 7
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,2,5,4,3,7,8,6] => [1,2,3,5,4,6,7,8] => 7
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,2,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => 7
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,2,6,4,5,3,7,8] => [1,2,3,6,4,5,7,8] => 7
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,6,5,4,3,7,8] => [1,2,3,6,4,5,7,8] => 7
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,2,8,7,5,6,4,3] => [1,2,3,8,4,7,5,6] => 5
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,8,7,6,5,4,3] => [1,2,3,8,4,7,5,6] => 5
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [1,2,7,5,4,6,3,8] => [1,2,3,7,4,5,6,8] => 7
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,2,8,4,5,6,7,3] => [1,2,3,8,4,5,6,7] => 7
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,2,8,4,6,7,5,3] => [1,2,3,8,4,5,6,7] => 7
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,7,6,5,4,3,8] => [1,2,3,7,4,6,5,8] => 5
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,8,6,5,4,7,3] => [1,2,3,8,4,6,5,7] => 5
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [1,2,8,5,4,6,7,3] => [1,2,3,8,4,5,6,7] => 7
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,2,8,5,4,7,6,3] => [1,2,3,8,4,5,6,7] => 7
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,2,8,5,6,4,7,3] => [1,2,3,8,4,5,6,7] => 7
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,2,8,5,6,7,4,3] => [1,2,3,8,4,5,6,7] => 7
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,2,4,3,5,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5,7,6,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,2,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,2,4,3,8,6,7,5] => [1,2,3,4,5,8,6,7] => 7
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,8,7,6,5] => [1,2,3,4,5,8,6,7] => 7
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,2,4,3,6,8,7,5] => [1,2,3,4,5,6,8,7] => 7
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,2,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,2,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,2,4,5,3,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,2,4,5,3,7,6,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,2,4,5,3,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,2,4,5,8,6,7,3] => [1,2,3,4,5,8,6,7] => 7
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,2,4,5,8,7,6,3] => [1,2,3,4,5,8,6,7] => 7
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,2,4,5,6,3,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,2,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,2,4,5,6,8,7,3] => [1,2,3,4,5,6,8,7] => 7
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,2,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [1,5,3,4,6,2,7,8] => [1,2,5,6,3,4,7,8] => 7
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [1,5,3,4,6,2,8,7] => [1,2,5,6,3,4,7,8] => 7
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,5,4,3,6,2,7,8] => [1,2,5,6,3,4,7,8] => 7
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,2,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,3,2,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,2,4,7,6,5,8] => [1,2,3,4,5,7,6,8] => 7
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,3,2,4,8,6,7,5] => [1,2,3,4,5,8,6,7] => 7
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,2,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => 7
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,3,2,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,2,4,6,8,7,5] => [1,2,3,4,5,6,8,7] => 7
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,3,2,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,3,2,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,3,2,5,7,6,4,8] => [1,2,3,4,5,7,6,8] => 7
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,3,2,5,8,7,6,4] => [1,2,3,4,5,8,6,7] => 7
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,3,2,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,3,2,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,3,2,5,6,8,7,4] => [1,2,3,4,5,6,8,7] => 7
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,3,2,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,3,2,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 9
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [1,3,5,4,2,6,7,8] => [1,2,3,5,4,6,7,8] => 7
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [1,3,5,4,2,6,8,7] => [1,2,3,5,4,6,7,8] => 7
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [1,3,5,4,2,7,6,8] => [1,2,3,5,4,6,7,8] => 7
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [1,3,5,4,2,7,8,6] => [1,2,3,5,4,6,7,8] => 7
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [1,3,5,4,6,7,8,2] => [1,2,3,5,6,7,8,4] => 7
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [1,3,6,4,5,2,8,7] => [1,2,3,6,4,5,7,8] => 7
[.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [1,3,6,5,4,2,8,7] => [1,2,3,6,4,5,7,8] => 7
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [1,3,7,4,5,6,2,8] => [1,2,3,7,4,5,6,8] => 7
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [1,3,8,7,5,6,4,2] => [1,2,3,8,4,7,5,6] => 5
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,3,8,7,6,5,4,2] => [1,2,3,8,4,7,5,6] => 5
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [1,3,8,4,5,6,7,2] => [1,2,3,8,4,5,6,7] => 7
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [1,3,8,4,6,5,7,2] => [1,2,3,8,4,5,6,7] => 7
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,8,4,6,7,5,2] => [1,2,3,8,4,5,6,7] => 7
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [1,3,7,6,5,4,2,8] => [1,2,3,7,4,6,5,8] => 5
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [1,3,8,5,4,6,7,2] => [1,2,3,8,4,5,6,7] => 7
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [1,3,8,5,4,7,6,2] => [1,2,3,8,4,5,6,7] => 7
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [1,3,8,5,6,7,4,2] => [1,2,3,8,4,5,6,7] => 7
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[[.,[.,[.,[[.,.],.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [1,3,4,2,5,6,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [1,3,4,2,5,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [1,3,4,2,5,7,6,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [1,3,4,2,5,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [1,3,4,2,8,6,7,5] => [1,2,3,4,5,8,6,7] => 7
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [1,3,4,2,8,7,6,5] => [1,2,3,4,5,8,6,7] => 7
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [1,3,4,2,6,5,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [1,3,4,2,6,8,7,5] => [1,2,3,4,5,6,8,7] => 7
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [1,3,4,2,6,7,8,5] => [1,2,3,4,5,6,7,8] => 9
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [1,3,4,5,2,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [1,3,4,5,2,6,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [1,3,4,5,2,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [1,3,4,5,2,7,6,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [1,3,4,5,2,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [1,3,4,5,7,6,2,8] => [1,2,3,4,5,7,6,8] => 7
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [1,3,4,5,8,6,7,2] => [1,2,3,4,5,8,6,7] => 7
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [1,3,4,5,8,7,6,2] => [1,2,3,4,5,8,6,7] => 7
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,3,4,5,6,2,7,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,6,2,8,7] => [1,2,3,4,5,6,7,8] => 9
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,6,8,7,2] => [1,2,3,4,5,6,8,7] => 7
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,7,2,8] => [1,2,3,4,5,6,7,8] => 9
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,8,2] => [1,2,3,4,5,6,7,8] => 9
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => 7
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] => [3,2,1,4,5,6,8,7] => [1,3,2,4,5,6,7,8] => 7
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] => [3,2,1,4,5,7,6,8] => [1,3,2,4,5,6,7,8] => 7
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] => [3,2,1,4,5,7,8,6] => [1,3,2,4,5,6,7,8] => 7
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] => [3,2,1,4,7,6,5,8] => [1,3,2,4,5,7,6,8] => 5
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] => [3,2,1,4,8,6,7,5] => [1,3,2,4,5,8,6,7] => 5
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] => [3,2,1,4,8,7,6,5] => [1,3,2,4,5,8,6,7] => 5
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] => [3,2,1,4,6,7,8,5] => [1,3,2,4,5,6,7,8] => 7
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] => [3,2,1,5,4,6,7,8] => [1,3,2,4,5,6,7,8] => 7
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] => [3,2,1,5,4,7,6,8] => [1,3,2,4,5,6,7,8] => 7
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] => [3,2,1,5,7,6,4,8] => [1,3,2,4,5,7,6,8] => 5
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0] => [3,2,1,5,8,6,7,4] => [1,3,2,4,5,8,6,7] => 5
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] => [3,2,1,5,8,7,6,4] => [1,3,2,4,5,8,6,7] => 5
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] => [3,2,1,5,6,4,7,8] => [1,3,2,4,5,6,7,8] => 7
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] => [3,2,1,5,6,7,4,8] => [1,3,2,4,5,6,7,8] => 7
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] => [3,2,1,5,6,7,8,4] => [1,3,2,4,5,6,7,8] => 7
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] => [3,2,5,4,8,6,7,1] => [1,3,5,8,2,4,6,7] => 3
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [4,2,3,1,5,6,7,8] => [1,4,2,3,5,6,7,8] => 7
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] => [4,2,3,1,5,7,6,8] => [1,4,2,3,5,6,7,8] => 7
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] => [4,2,3,1,5,7,8,6] => [1,4,2,3,5,6,7,8] => 7
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] => [4,2,3,1,7,6,5,8] => [1,4,2,3,5,7,6,8] => 5
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [4,2,3,1,8,6,7,5] => [1,4,2,3,5,8,6,7] => 5
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] => [4,2,3,1,8,7,6,5] => [1,4,2,3,5,8,6,7] => 5
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] => [4,2,3,1,6,5,7,8] => [1,4,2,3,5,6,7,8] => 7
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] => [4,2,3,1,6,5,8,7] => [1,4,2,3,5,6,7,8] => 7
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] => [4,2,3,1,6,7,8,5] => [1,4,2,3,5,6,7,8] => 7
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [4,2,3,5,6,7,1,8] => [1,4,5,6,7,2,3,8] => 7
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => [1,4,2,3,5,6,7,8] => 7
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] => [4,3,2,1,5,6,8,7] => [1,4,2,3,5,6,7,8] => 7
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] => [4,3,2,1,5,7,6,8] => [1,4,2,3,5,6,7,8] => 7
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] => [4,3,2,1,5,7,8,6] => [1,4,2,3,5,6,7,8] => 7
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] => [4,3,2,1,7,6,5,8] => [1,4,2,3,5,7,6,8] => 5
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] => [4,3,2,1,8,6,7,5] => [1,4,2,3,5,8,6,7] => 5
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => [1,4,2,3,5,8,6,7] => 5
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] => [4,3,2,1,6,5,7,8] => [1,4,2,3,5,6,7,8] => 7
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => [1,4,2,3,5,6,7,8] => 7
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] => [4,3,2,1,6,7,5,8] => [1,4,2,3,5,6,7,8] => 7
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] => [4,3,2,1,6,7,8,5] => [1,4,2,3,5,6,7,8] => 7
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [4,3,2,5,6,7,1,8] => [1,4,5,6,7,2,3,8] => 7
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [5,2,3,4,1,6,7,8] => [1,5,2,3,4,6,7,8] => 7
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [5,2,3,4,1,6,8,7] => [1,5,2,3,4,6,7,8] => 7
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] => [5,2,3,4,1,7,8,6] => [1,5,2,3,4,6,7,8] => 7
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] => [5,2,3,4,8,6,7,1] => [1,5,8,2,3,4,6,7] => 5
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0] => [5,2,3,4,8,7,6,1] => [1,5,8,2,3,4,6,7] => 5
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] => [5,2,4,3,1,6,7,8] => [1,5,2,3,4,6,7,8] => 7
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] => [5,2,4,3,1,6,8,7] => [1,5,2,3,4,6,7,8] => 7
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] => [5,2,4,3,1,7,6,8] => [1,5,2,3,4,6,7,8] => 7
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] => [5,2,4,3,8,7,6,1] => [1,5,8,2,3,4,6,7] => 5
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [8,7,3,4,5,6,2,1] => [1,8,2,7,3,4,5,6] => 5
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [8,7,3,4,6,5,2,1] => [1,8,2,7,3,4,5,6] => 5
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [8,7,3,5,4,6,2,1] => [1,8,2,7,3,4,5,6] => 5
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [8,7,3,5,6,4,2,1] => [1,8,2,7,3,4,5,6] => 5
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => [1,7,2,6,3,5,4,8] => 3
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [8,6,5,4,3,2,7,1] => [1,8,2,6,3,5,4,7] => 3
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [8,7,4,3,5,6,2,1] => [1,8,2,7,3,4,5,6] => 5
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [8,7,4,3,6,5,2,1] => [1,8,2,7,3,4,5,6] => 5
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [8,7,4,5,3,6,2,1] => [1,8,2,7,3,4,5,6] => 5
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [8,7,4,5,6,3,2,1] => [1,8,2,7,3,4,5,6] => 5
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] => [5,3,2,4,1,6,7,8] => [1,5,2,3,4,6,7,8] => 7
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0] => [5,3,2,4,1,6,8,7] => [1,5,2,3,4,6,7,8] => 7
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0] => [5,3,2,4,1,7,6,8] => [1,5,2,3,4,6,7,8] => 7
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] => [5,3,4,2,1,6,7,8] => [1,5,2,3,4,6,7,8] => 7
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0] => [5,3,4,2,1,6,8,7] => [1,5,2,3,4,6,7,8] => 7
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0] => [5,3,4,2,1,7,8,6] => [1,5,2,3,4,6,7,8] => 7
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] => [5,3,4,2,8,6,7,1] => [1,5,8,2,3,4,6,7] => 5
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] => [6,2,3,4,5,1,7,8] => [1,6,2,3,4,5,7,8] => 7
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] => [6,2,3,4,5,1,8,7] => [1,6,2,3,4,5,7,8] => 7
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] => [6,2,3,4,5,8,7,1] => [1,6,8,2,3,4,5,7] => 5
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] => [6,2,3,4,5,7,1,8] => [1,6,7,2,3,4,5,8] => 7
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] => [6,2,3,4,5,7,8,1] => [1,6,7,8,2,3,4,5] => 7
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] => [6,2,3,5,4,1,7,8] => [1,6,2,3,4,5,7,8] => 7
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [6,2,3,5,4,1,8,7] => [1,6,2,3,4,5,7,8] => 7
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] => [6,2,3,5,4,7,1,8] => [1,6,7,2,3,4,5,8] => 7
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] => [6,2,3,5,4,7,8,1] => [1,6,7,8,2,3,4,5] => 7
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] => [6,2,4,3,5,1,8,7] => [1,6,2,3,4,5,7,8] => 7
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] => [6,2,4,5,3,1,7,8] => [1,6,2,3,4,5,7,8] => 7
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] => [6,2,4,5,3,1,8,7] => [1,6,2,3,4,5,7,8] => 7
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] => [6,2,4,5,3,8,7,1] => [1,6,8,2,3,4,5,7] => 5
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,6,3,4,5,2,1,8] => [1,7,2,6,3,4,5,8] => 5
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,6,3,5,4,2,1,8] => [1,7,2,6,3,4,5,8] => 5
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [8,7,5,4,3,6,2,1] => [1,8,2,7,3,5,4,6] => 3
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,6,4,3,5,2,1,8] => [1,7,2,6,3,4,5,8] => 5
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,6,4,5,3,2,1,8] => [1,7,2,6,3,4,5,8] => 5
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [8,6,3,4,5,2,7,1] => [1,8,2,6,3,4,5,7] => 5
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [8,6,3,5,4,2,7,1] => [1,8,2,6,3,4,5,7] => 5
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [8,7,6,4,5,3,2,1] => [1,8,2,7,3,6,4,5] => 3
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [8,6,4,3,5,2,7,1] => [1,8,2,6,3,4,5,7] => 5
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [8,6,4,5,3,2,7,1] => [1,8,2,6,3,4,5,7] => 5
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => 3
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0] => [6,3,2,4,5,7,1,8] => [1,6,7,2,3,4,5,8] => 7
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] => [6,3,2,5,4,1,7,8] => [1,6,2,3,4,5,7,8] => 7
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0] => [6,3,2,5,4,1,8,7] => [1,6,2,3,4,5,7,8] => 7
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] => [6,3,2,5,4,8,7,1] => [1,6,8,2,3,4,5,7] => 5
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] => [6,3,2,5,4,7,1,8] => [1,6,7,2,3,4,5,8] => 7
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] => [6,3,2,5,4,7,8,1] => [1,6,7,8,2,3,4,5] => 7
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] => [6,3,4,2,5,1,8,7] => [1,6,2,3,4,5,7,8] => 7
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] => [6,3,4,5,2,1,7,8] => [1,6,2,3,4,5,7,8] => 7
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] => [6,3,4,5,2,1,8,7] => [1,6,2,3,4,5,7,8] => 7
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] => [6,3,4,5,2,8,7,1] => [1,6,8,2,3,4,5,7] => 5
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0] => [6,3,4,5,2,7,1,8] => [1,6,7,2,3,4,5,8] => 7
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [6,3,4,5,2,7,8,1] => [1,6,7,8,2,3,4,5] => 7
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] => [7,2,3,4,5,6,1,8] => [1,7,2,3,4,5,6,8] => 7
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [7,2,3,4,5,6,8,1] => [1,7,8,2,3,4,5,6] => 7
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [7,2,3,4,6,5,1,8] => [1,7,2,3,4,5,6,8] => 7
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [8,2,3,7,5,6,4,1] => [1,8,2,3,4,7,5,6] => 5
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [8,2,3,7,6,5,4,1] => [1,8,2,3,4,7,5,6] => 5
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0] => [7,2,3,5,4,6,1,8] => [1,7,2,3,4,5,6,8] => 7
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0] => [7,2,3,5,6,4,1,8] => [1,7,2,3,4,5,6,8] => 7
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] => [7,2,4,3,6,5,1,8] => [1,7,2,3,4,5,6,8] => 7
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] => [7,2,4,3,6,5,8,1] => [1,7,8,2,3,4,5,6] => 7
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [8,2,4,7,5,6,3,1] => [1,8,2,3,4,7,5,6] => 5
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [8,2,4,7,6,5,3,1] => [1,8,2,3,4,7,5,6] => 5
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] => [7,2,4,5,3,6,1,8] => [1,7,2,3,4,5,6,8] => 7
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] => [7,2,4,5,3,6,8,1] => [1,7,8,2,3,4,5,6] => 7
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] => [6,5,3,4,2,1,7,8] => [1,6,2,5,3,4,7,8] => 5
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => [1,6,2,5,3,4,7,8] => 5
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] => [6,5,3,4,2,1,8,7] => [1,6,2,5,3,4,7,8] => 5
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => [1,6,2,5,3,4,7,8] => 5
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [7,5,3,4,2,6,1,8] => [1,7,2,5,3,4,6,8] => 5
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [7,5,4,3,2,6,1,8] => [1,7,2,5,3,4,6,8] => 5
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [8,5,3,4,2,6,7,1] => [1,8,2,5,3,4,6,7] => 5
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [8,5,4,3,2,6,7,1] => [1,8,2,5,3,4,6,7] => 5
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]] => [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [8,5,3,4,2,7,6,1] => [1,8,2,5,3,4,6,7] => 5
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [8,5,4,3,2,7,6,1] => [1,8,2,5,3,4,6,7] => 5
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] => [7,3,2,4,5,6,8,1] => [1,7,8,2,3,4,5,6] => 7
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [8,3,2,7,5,6,4,1] => [1,8,2,3,4,7,5,6] => 5
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [8,3,2,7,6,5,4,1] => [1,8,2,3,4,7,5,6] => 5
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] => [7,3,2,5,4,6,1,8] => [1,7,2,3,4,5,6,8] => 7
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] => [7,3,2,5,6,4,8,1] => [1,7,8,2,3,4,5,6] => 7
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] => [7,3,4,2,6,5,1,8] => [1,7,2,3,4,5,6,8] => 7
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [7,3,4,2,6,5,8,1] => [1,7,8,2,3,4,5,6] => 7
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [8,3,4,7,6,5,2,1] => [1,8,2,3,4,7,5,6] => 5
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] => [7,3,4,5,6,2,1,8] => [1,7,2,3,4,5,6,8] => 7
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] => [7,3,4,5,6,2,8,1] => [1,7,8,2,3,4,5,6] => 7
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [8,2,3,4,5,6,7,1] => [1,8,2,3,4,5,6,7] => 7
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [8,2,3,4,5,7,6,1] => [1,8,2,3,4,5,6,7] => 7
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] => [7,2,3,6,5,4,1,8] => [1,7,2,3,4,6,5,8] => 5
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [8,2,3,6,5,4,7,1] => [1,8,2,3,4,6,5,7] => 5
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [8,2,3,5,4,6,7,1] => [1,8,2,3,4,5,6,7] => 7
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [8,2,3,5,4,7,6,1] => [1,8,2,3,4,5,6,7] => 7
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [8,2,3,5,6,7,4,1] => [1,8,2,3,4,5,6,7] => 7
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [8,2,4,3,6,5,7,1] => [1,8,2,3,4,5,6,7] => 7
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [8,2,4,3,6,7,5,1] => [1,8,2,3,4,5,6,7] => 7
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] => [7,2,4,6,5,3,1,8] => [1,7,2,3,4,6,5,8] => 5
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [8,2,4,5,3,7,6,1] => [1,8,2,3,4,5,6,7] => 7
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [8,2,4,5,6,3,7,1] => [1,8,2,3,4,5,6,7] => 7
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [8,2,4,5,6,7,3,1] => [1,8,2,3,4,5,6,7] => 7
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => [1,5,2,4,3,6,7,8] => 5
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] => [5,4,3,2,1,6,8,7] => [1,5,2,4,3,6,7,8] => 5
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] => [5,4,3,2,1,7,6,8] => [1,5,2,4,3,6,7,8] => 5
[[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0] => [5,4,3,2,1,7,8,6] => [1,5,2,4,3,6,7,8] => 5
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] => [6,4,3,2,5,1,7,8] => [1,6,2,4,3,5,7,8] => 5
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0] => [6,4,3,2,5,1,8,7] => [1,6,2,4,3,5,7,8] => 5
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] => [7,4,3,2,6,5,1,8] => [1,7,2,4,3,5,6,8] => 5
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [8,4,3,2,5,6,7,1] => [1,8,2,4,3,5,6,7] => 5
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [8,4,3,2,5,7,6,1] => [1,8,2,4,3,5,6,7] => 5
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [8,4,3,2,6,5,7,1] => [1,8,2,4,3,5,6,7] => 5
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [8,4,3,2,6,7,5,1] => [1,8,2,4,3,5,6,7] => 5
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [8,3,2,4,5,6,7,1] => [1,8,2,3,4,5,6,7] => 7
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [8,3,2,4,6,5,7,1] => [1,8,2,3,4,5,6,7] => 7
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [8,3,2,4,6,7,5,1] => [1,8,2,3,4,5,6,7] => 7
[[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [8,3,2,5,4,7,6,1] => [1,8,2,3,4,5,6,7] => 7
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [8,3,2,5,6,4,7,1] => [1,8,2,3,4,5,6,7] => 7
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [8,3,2,5,6,7,4,1] => [1,8,2,3,4,5,6,7] => 7
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [8,3,4,2,5,6,7,1] => [1,8,2,3,4,5,6,7] => 7
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [8,3,4,2,6,5,7,1] => [1,8,2,3,4,5,6,7] => 7
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [7,3,4,6,5,2,1,8] => [1,7,2,3,4,6,5,8] => 5
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [8,3,4,5,2,6,7,1] => [1,8,2,3,4,5,6,7] => 7
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [8,3,4,5,2,7,6,1] => [1,8,2,3,4,5,6,7] => 7
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [8,3,4,5,6,2,7,1] => [1,8,2,3,4,5,6,7] => 7
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [8,3,4,5,6,7,2,1] => [1,8,2,3,4,5,6,7] => 7
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 9
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,1,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 9
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,1,3,4,8,6,7,5] => [1,2,3,4,5,8,6,7] => 7
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => 7
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,1,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 9
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,1,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => 9
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,1,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 9
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,1,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 9
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => 9
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,3,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,1,3,5,8,6,7,4] => [1,2,3,4,5,8,6,7] => 7
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,1,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => 9
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,1,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 9
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,5,4,3,6,7,8] => [1,2,3,5,4,6,7,8] => 7
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,1,5,4,3,6,8,7] => [1,2,3,5,4,6,7,8] => 7
[[.,[[.,.],[.,[[.,[.,.]],.]]]],.] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,5,4,3,7,6,8] => [1,2,3,5,4,6,7,8] => 7
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,1,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => 7
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,1,6,4,5,3,8,7] => [1,2,3,6,4,5,7,8] => 7
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => [1,2,3,6,4,5,7,8] => 7
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,8,7,5,6,4,3] => [1,2,3,8,4,7,5,6] => 5
[[.,[[[.,.],[.,.]],[[.,.],.]]],.] => [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => [1,2,3,8,4,7,5,6] => 5
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,1,8,4,5,6,7,3] => [1,2,3,8,4,5,6,7] => 7
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,1,8,4,5,7,6,3] => [1,2,3,8,4,5,6,7] => 7
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,1,8,4,6,5,7,3] => [1,2,3,8,4,5,6,7] => 7
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,8,4,6,7,5,3] => [1,2,3,8,4,5,6,7] => 7
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,7,6,5,4,3,8] => [1,2,3,7,4,6,5,8] => 5
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,8,6,5,4,7,3] => [1,2,3,8,4,6,5,7] => 5
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,1,8,5,4,6,7,3] => [1,2,3,8,4,5,6,7] => 7
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,8,5,4,7,6,3] => [1,2,3,8,4,5,6,7] => 7
[[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,1,8,5,6,4,7,3] => [1,2,3,8,4,5,6,7] => 7
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,1,8,5,6,7,4,3] => [1,2,3,8,4,5,6,7] => 7
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => 9
[[.,[[.,[.,[[.,.],[.,.]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,4,3,5,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[[.,[[.,[.,[[[.,.],.],.]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,3,8,6,7,5] => [1,2,3,4,5,8,6,7] => 7
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,7,6,5] => [1,2,3,4,5,8,6,7] => 7
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => 9
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => 9
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,3,6,8,7,5] => [1,2,3,4,5,6,8,7] => 7
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => 9
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => 9
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,1,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,1,4,5,3,6,8,7] => [1,2,3,4,5,6,7,8] => 9
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,1,4,5,3,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,1,4,5,8,6,7,3] => [1,2,3,4,5,8,6,7] => 7
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,1,4,5,8,7,6,3] => [1,2,3,4,5,8,6,7] => 7
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,1,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => 9
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,1,4,5,6,8,7,3] => [1,2,3,4,5,6,8,7] => 7
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,1,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => 9
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => 9
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0] => [2,5,4,3,6,1,8,7] => [1,2,5,6,3,4,7,8] => 7
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [2,3,1,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 9
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [2,3,1,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 9
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[[[.,[.,[[[.,.],.],[.,.]]]],.],.] => [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => 7
[[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [2,3,1,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => 9
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [2,3,1,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => 9
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,3,1,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => 9
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => [2,3,1,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => 9
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] => [2,3,1,5,8,6,7,4] => [1,2,3,4,5,8,6,7] => 7
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] => [2,3,1,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => 9
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,3,1,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => 9
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,3,1,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => 9
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [2,3,5,4,1,6,7,8] => [1,2,3,5,4,6,7,8] => 7
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0] => [2,3,5,4,1,6,8,7] => [1,2,3,5,4,6,7,8] => 7
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [2,3,5,4,1,7,6,8] => [1,2,3,5,4,6,7,8] => 7
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [2,3,5,4,6,7,8,1] => [1,2,3,5,6,7,8,4] => 7
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] => [2,3,6,4,5,1,7,8] => [1,2,3,6,4,5,7,8] => 7
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] => [2,3,6,4,5,1,8,7] => [1,2,3,6,4,5,7,8] => 7
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => [2,3,6,5,4,1,7,8] => [1,2,3,6,4,5,7,8] => 7
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] => [2,3,6,5,4,1,8,7] => [1,2,3,6,4,5,7,8] => 7
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [2,3,8,7,6,5,4,1] => [1,2,3,8,4,7,5,6] => 5
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] => [2,3,7,5,4,6,1,8] => [1,2,3,7,4,5,6,8] => 7
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] => [2,3,7,5,6,4,1,8] => [1,2,3,7,4,5,6,8] => 7
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => [2,3,8,4,5,6,7,1] => [1,2,3,8,4,5,6,7] => 7
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [2,3,8,4,6,7,5,1] => [1,2,3,8,4,5,6,7] => 7
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,3,7,6,5,4,1,8] => [1,2,3,7,4,6,5,8] => 5
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0] => [2,3,8,6,5,4,7,1] => [1,2,3,8,4,6,5,7] => 5
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] => [2,3,8,5,4,6,7,1] => [1,2,3,8,4,5,6,7] => 7
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] => [2,3,8,5,6,4,7,1] => [1,2,3,8,4,5,6,7] => 7
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [2,3,8,5,6,7,4,1] => [1,2,3,8,4,5,6,7] => 7
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,3,4,1,5,6,8,7] => [1,2,3,4,5,6,7,8] => 9
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [2,3,4,1,5,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] => [2,3,4,1,5,7,6,8] => [1,2,3,4,5,6,7,8] => 9
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] => [2,3,4,1,5,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] => [2,3,4,1,7,6,5,8] => [1,2,3,4,5,7,6,8] => 7
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] => [2,3,4,1,8,6,7,5] => [1,2,3,4,5,8,6,7] => 7
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [2,3,4,1,8,7,6,5] => [1,2,3,4,5,8,6,7] => 7
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,3,4,1,6,5,7,8] => [1,2,3,4,5,6,7,8] => 9
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,4,1,6,5,8,7] => [1,2,3,4,5,6,7,8] => 9
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] => [2,3,4,1,6,8,7,5] => [1,2,3,4,5,6,8,7] => 7
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] => [2,3,4,1,6,7,5,8] => [1,2,3,4,5,6,7,8] => 9
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => [1,2,3,4,5,6,7,8] => 9
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => [1,2,3,4,5,6,7,8] => 9
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,5,1,6,8,7] => [1,2,3,4,5,6,7,8] => 9
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,5,1,8,7,6] => [1,2,3,4,5,6,8,7] => 7
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,5,1,7,6,8] => [1,2,3,4,5,6,7,8] => 9
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,5,1,7,8,6] => [1,2,3,4,5,6,7,8] => 9
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] => [2,3,4,5,7,6,1,8] => [1,2,3,4,5,7,6,8] => 7
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] => [2,3,4,5,8,6,7,1] => [1,2,3,4,5,8,6,7] => 7
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [2,3,4,5,8,7,6,1] => [1,2,3,4,5,8,6,7] => 7
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => [1,2,3,4,5,6,7,8] => 9
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => [1,2,3,4,5,6,7,8] => 9
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,6,8,7,1] => [1,2,3,4,5,6,8,7] => 7
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,1,8] => [1,2,3,4,5,6,7,8] => 9
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => 9
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,3,5,6,7,8,9,4] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,8,9,3] => [1,2,3,4,5,6,7,8,9] => 10
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,8,9,2] => [1,2,3,4,5,6,7,8,9] => 10
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,1] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,7,9,8] => 8
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,8,9,10,3] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,8,9,10,2] => [1,2,3,4,5,6,7,8,9,10] => 11
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,10,1] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,4,6,5,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,4,5,7,9,8,6] => [1,2,3,4,5,6,7,9,8] => 8
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,7,6,10,9,8] => [1,2,3,4,5,6,7,8,10,9] => 9
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [9,3,4,5,6,7,8,2,1] => [1,9,2,3,4,5,6,7,8] => 8
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [10,3,4,5,6,7,8,9,2,1] => [1,10,2,3,4,5,6,7,8,9] => 9
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,7,8,2,9] => [1,2,3,4,5,6,7,8,9] => 10
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [11,3,4,5,6,7,8,9,10,2,1] => [1,11,2,3,4,5,6,7,8,9,10] => 10
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0] => [9,3,4,5,6,2,8,7,1] => [1,9,2,3,4,5,6,7,8] => 8
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,6,7,9,8,2] => [1,2,3,4,5,6,7,9,8] => 8
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,6,7,2,9,8] => [1,2,3,4,5,6,7,8,9] => 10
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,7,8,9,2,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => 10
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9,10] => 11
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,1,3,4,5,6,8,7,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,9,8,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.] => [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,3,6,5,8,10,9,7] => [1,2,3,4,5,6,7,8,10,9] => 9
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,2,3,4,5,6,7,8,1] => [1,9,2,3,4,5,6,7,8] => 8
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [10,2,3,4,5,6,7,8,9,1] => [1,10,2,3,4,5,6,7,8,9] => 9
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,6,1,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,7,1,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,8,1,9] => [1,2,3,4,5,6,7,8,9] => 10
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,1,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,6,7,1,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,7,8,1,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,6,7,9,8,1] => [1,2,3,4,5,6,7,9,8] => 8
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,8,9,1,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,8,10,9] => 9
[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,6,7,8,9] => 10
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,8,9,3] => [1,2,3,4,5,6,7,8,9] => 10
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,7,1,9,8] => [1,2,3,4,5,6,7,8,9] => 10
[[[[[[.,[[[.,.],.],.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,5,6,1,8,9,7] => [1,2,3,4,5,6,7,8,9] => 10
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,5,1,7,8,9,6] => [1,2,3,4,5,6,7,8,9] => 10
[[[[.,[[[[[.,.],.],.],.],.]],.],.],.] => [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,9,5] => [1,2,3,4,5,6,7,8,9] => 10
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,1,5,6,7,8,9,4] => [1,2,3,4,5,6,7,8,9] => 10
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,7,8,1,10,9] => [1,2,3,4,5,6,7,8,9,10] => 11
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [2,3,4,5,6,1,9,8,7] => [1,2,3,4,5,6,7,9,8] => 8
[[[[[[[.,[[[.,.],.],.]],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [2,3,4,5,6,7,1,9,10,8] => [1,2,3,4,5,6,7,8,9,10] => 11
[[[[[[.,[[[[.,.],.],.],.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,5,6,1,8,9,10,7] => [1,2,3,4,5,6,7,8,9,10] => 11
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,1,4,5,6,7,8,9,10,3] => [1,2,3,4,5,6,7,8,9,10] => 11
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,6,7,8,10,9,1] => [1,2,3,4,5,6,7,8,10,9] => 9
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [1,3,4,5,6,7,2,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [1,3,4,5,2,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [8,2,3,4,5,6,7,9,1] => [1,8,9,2,3,4,5,6,7] => 8
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,3,4,5,6,8,9,7] => [1,2,3,4,5,6,7,8,9] => 10
[[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,5,3,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,1,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,8,9,10] => 11
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0] => [2,3,4,5,6,1,8,7,9] => [1,2,3,4,5,6,7,8,9] => 10
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],[.,.]] => [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0] => [9,3,2,4,5,6,7,8,1] => [1,9,2,3,4,5,6,7,8] => 8
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,3,2,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => 10
[.,[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]] => [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,3,2,4,5,6,9,8,7] => [1,2,3,4,5,6,7,9,8] => 8
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6,9,8] => [1,2,3,4,5,6,7,8,9] => 10
[[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.] => [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,5,6,7,8,9,11,10,1] => [1,2,3,4,5,6,7,8,9,11,10] => 10
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[[[[[.,[[.,[.,[.,.]]],.]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] => [2,3,4,5,1,7,6,8,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,6,7,8,10,9,2] => [1,2,3,4,5,6,7,8,10,9] => 9
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [2,3,4,5,1,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => 10
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,1,4,5,6,7,8,3,9] => [1,2,3,4,5,6,7,8,9] => 10
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,3,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 11
[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.] => [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,1,3,5,6,7,8,9,4] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,4,5,7,8,6,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,5,6,7,8,11,10,9] => [1,2,3,4,5,6,7,8,9,11,10] => 10
[.,[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]] => [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,4,6,5,8,7,9] => [1,2,3,4,5,6,7,8,9] => 10
[.,[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]]] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,4,5,6,8,9,7,10] => [1,2,3,4,5,6,7,8,9,10] => 11
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Generating function
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Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,0,4 6,0,8 2,0,24,0,16 20,0,80,0,32
$F_{1} = q^{2}$
$F_{2} = 2\ q^{3}$
$F_{3} = q^{2} + 4\ q^{4}$
$F_{4} = 6\ q^{3} + 8\ q^{5}$
$F_{5} = 2\ q^{2} + 24\ q^{4} + 16\ q^{6}$
$F_{6} = 20\ q^{3} + 80\ q^{5} + 32\ q^{7}$
Description
The number of cycles in the breakpoint graph of a permutation.
The breakpoint graph of a permutation $\pi_1,\dots,\pi_n$ is the directed, bicoloured graph with vertices $0,\dots,n$, a grey edge from $i$ to $i+1$ and a black edge from $\pi_i$ to $\pi_{i-1}$ for $0\leq i\leq n$, all indices taken modulo $n+1$.
This graph decomposes into alternating cycles, which this statistic counts.
The distribution of this statistic on permutations of $n-1$ is, according to [cor.1, 5] and [eq.6, 6], given by
$$ \frac{1}{n(n+1)}((q+n)_{n+1}-(q)_{n+1}), $$
where $(x)_n=x(x-1)\dots(x-n+1)$.
The breakpoint graph of a permutation $\pi_1,\dots,\pi_n$ is the directed, bicoloured graph with vertices $0,\dots,n$, a grey edge from $i$ to $i+1$ and a black edge from $\pi_i$ to $\pi_{i-1}$ for $0\leq i\leq n$, all indices taken modulo $n+1$.
This graph decomposes into alternating cycles, which this statistic counts.
The distribution of this statistic on permutations of $n-1$ is, according to [cor.1, 5] and [eq.6, 6], given by
$$ \frac{1}{n(n+1)}((q+n)_{n+1}-(q)_{n+1}), $$
where $(x)_n=x(x-1)\dots(x-n+1)$.
Map
to non-crossing permutation
Description
Sends a Dyck path $D$ with valley at positions $\{(i_1,j_1),\ldots,(i_k,j_k)\}$ to the unique non-crossing permutation $\pi$ having descents $\{i_1,\ldots,i_k\}$ and whose inverse has descents $\{j_1,\ldots,j_k\}$.
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to $n(n-1)$ minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to $n(n-1)$ minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..
Map
pruning number to logarithmic height
Description
Francon's map from binary trees to Dyck paths.
This bijection sends the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree., to the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path.. The implementation is a literal translation of Knuth's [2].
This bijection sends the pruning number of the binary tree, St000396The register function (or Horton-Strahler number) of a binary tree., to the logarithmic height of the Dyck path, St000920The logarithmic height of a Dyck path.. The implementation is a literal translation of Knuth's [2].
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
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