Identifier
-
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00067: Permutations —Foata bijection⟶ Permutations
Mp00204: Permutations —LLPS⟶ Integer partitions
St001175: Integer partitions ⟶ ℤ
Values
[.,.] => [1] => [1] => [1] => 0
[.,[.,.]] => [2,1] => [2,1] => [2] => 0
[[.,.],.] => [1,2] => [1,2] => [1,1] => 0
[.,[.,[.,.]]] => [3,2,1] => [3,2,1] => [3] => 0
[.,[[.,.],.]] => [2,3,1] => [2,3,1] => [2,1] => 0
[[.,.],[.,.]] => [3,1,2] => [1,3,2] => [2,1] => 0
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [2,1] => 0
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [1,1,1] => 0
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,3,2,1] => [4] => 0
[.,[.,[[.,.],.]]] => [3,4,2,1] => [3,4,2,1] => [3,1] => 0
[.,[[.,.],[.,.]]] => [4,2,3,1] => [2,4,3,1] => [3,1] => 0
[.,[[.,[.,.]],.]] => [3,2,4,1] => [3,2,4,1] => [3,1] => 0
[.,[[[.,.],.],.]] => [2,3,4,1] => [2,3,4,1] => [2,1,1] => 0
[[.,.],[.,[.,.]]] => [4,3,1,2] => [1,4,3,2] => [3,1] => 0
[[.,.],[[.,.],.]] => [3,4,1,2] => [1,3,4,2] => [2,1,1] => 0
[[.,[.,.]],[.,.]] => [4,2,1,3] => [2,4,1,3] => [2,1,1] => 0
[[[.,.],.],[.,.]] => [4,1,2,3] => [1,2,4,3] => [2,1,1] => 0
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => [3,1] => 0
[[.,[[.,.],.]],.] => [2,3,1,4] => [2,3,1,4] => [2,1,1] => 0
[[[.,.],[.,.]],.] => [3,1,2,4] => [1,3,2,4] => [2,1,1] => 0
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [2,1,1] => 0
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1] => 0
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,4,3,2,1] => [5] => 0
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [4,5,3,2,1] => [4,1] => 0
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [3,5,4,2,1] => [4,1] => 0
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [4,3,5,2,1] => [4,1] => 0
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,4,5,2,1] => [3,1,1] => 0
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [2,5,4,3,1] => [4,1] => 0
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [2,4,5,3,1] => [3,1,1] => 0
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [3,5,2,4,1] => [3,1,1] => 0
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [2,3,5,4,1] => [3,1,1] => 0
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [4,3,2,5,1] => [4,1] => 0
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [3,4,2,5,1] => [3,1,1] => 0
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [2,4,3,5,1] => [3,1,1] => 0
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [3,2,4,5,1] => [3,1,1] => 0
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [2,3,4,5,1] => [2,1,1,1] => 0
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [1,5,4,3,2] => [4,1] => 0
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [1,4,5,3,2] => [3,1,1] => 0
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [1,3,5,4,2] => [3,1,1] => 0
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [1,4,3,5,2] => [3,1,1] => 0
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [1,3,4,5,2] => [2,1,1,1] => 0
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [2,5,4,1,3] => [3,1,1] => 0
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [2,4,5,1,3] => [2,1,1,1] => 0
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [1,2,5,4,3] => [3,1,1] => 0
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [1,2,4,5,3] => [2,1,1,1] => 0
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [3,5,2,1,4] => [3,1,1] => 0
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [2,3,5,1,4] => [2,1,1,1] => 0
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [1,3,5,2,4] => [2,1,1,1] => 0
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [2,1,5,3,4] => [2,2,1] => 1
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [1,2,3,5,4] => [2,1,1,1] => 0
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1,5] => [4,1] => 0
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [3,4,2,1,5] => [3,1,1] => 0
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [2,4,3,1,5] => [3,1,1] => 0
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [3,2,4,1,5] => [3,1,1] => 0
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [2,3,4,1,5] => [2,1,1,1] => 0
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [1,4,3,2,5] => [3,1,1] => 0
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [1,3,4,2,5] => [2,1,1,1] => 0
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [2,4,1,3,5] => [2,1,1,1] => 0
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [1,2,4,3,5] => [2,1,1,1] => 0
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4,5] => [3,1,1] => 0
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [2,3,1,4,5] => [2,1,1,1] => 0
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [1,3,2,4,5] => [2,1,1,1] => 0
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => [2,1,1,1] => 0
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => [6] => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [5,6,4,3,2,1] => [5,1] => 0
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [4,6,5,3,2,1] => [5,1] => 0
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [5,4,6,3,2,1] => [5,1] => 0
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [4,5,6,3,2,1] => [4,1,1] => 0
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [3,6,5,4,2,1] => [5,1] => 0
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [3,5,6,4,2,1] => [4,1,1] => 0
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [4,6,3,5,2,1] => [4,1,1] => 0
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [3,4,6,5,2,1] => [4,1,1] => 0
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [5,4,3,6,2,1] => [5,1] => 0
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [4,5,3,6,2,1] => [4,1,1] => 0
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [3,5,4,6,2,1] => [4,1,1] => 0
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [4,3,5,6,2,1] => [4,1,1] => 0
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => [3,1,1,1] => 0
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [2,6,5,4,3,1] => [5,1] => 0
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [2,5,6,4,3,1] => [4,1,1] => 0
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [2,4,6,5,3,1] => [4,1,1] => 0
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [2,5,4,6,3,1] => [4,1,1] => 0
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [2,4,5,6,3,1] => [3,1,1,1] => 0
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [3,6,5,2,4,1] => [4,1,1] => 0
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [3,5,6,2,4,1] => [3,1,1,1] => 0
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [2,3,6,5,4,1] => [4,1,1] => 0
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [2,3,5,6,4,1] => [3,1,1,1] => 0
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [4,6,3,2,5,1] => [4,1,1] => 0
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [3,4,6,2,5,1] => [3,1,1,1] => 0
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [2,4,6,3,5,1] => [3,1,1,1] => 0
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [3,2,6,4,5,1] => [3,2,1] => 1
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [2,3,4,6,5,1] => [3,1,1,1] => 0
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [5,4,3,2,6,1] => [5,1] => 0
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [4,5,3,2,6,1] => [4,1,1] => 0
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [3,5,4,2,6,1] => [4,1,1] => 0
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [4,3,5,2,6,1] => [4,1,1] => 0
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => [3,1,1,1] => 0
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [2,5,4,3,6,1] => [4,1,1] => 0
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [2,4,5,3,6,1] => [3,1,1,1] => 0
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [3,5,2,4,6,1] => [3,1,1,1] => 0
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [2,3,5,4,6,1] => [3,1,1,1] => 0
>>> Load all 1780 entries. <<<[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [4,3,2,5,6,1] => [4,1,1] => 0
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => [3,1,1,1] => 0
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [2,4,3,5,6,1] => [3,1,1,1] => 0
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => [3,1,1,1] => 0
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [2,1,1,1,1] => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [1,6,5,4,3,2] => [5,1] => 0
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [1,5,6,4,3,2] => [4,1,1] => 0
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [1,4,6,5,3,2] => [4,1,1] => 0
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [1,5,4,6,3,2] => [4,1,1] => 0
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [1,4,5,6,3,2] => [3,1,1,1] => 0
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [1,3,6,5,4,2] => [4,1,1] => 0
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [1,3,5,6,4,2] => [3,1,1,1] => 0
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [1,4,6,3,5,2] => [3,1,1,1] => 0
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [1,3,4,6,5,2] => [3,1,1,1] => 0
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [1,5,4,3,6,2] => [4,1,1] => 0
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [1,4,5,3,6,2] => [3,1,1,1] => 0
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [1,3,5,4,6,2] => [3,1,1,1] => 0
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [1,4,3,5,6,2] => [3,1,1,1] => 0
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [1,3,4,5,6,2] => [2,1,1,1,1] => 0
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [2,6,5,4,1,3] => [4,1,1] => 0
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [2,5,6,4,1,3] => [3,1,1,1] => 0
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [2,4,6,5,1,3] => [3,1,1,1] => 0
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [2,5,4,6,1,3] => [3,1,1,1] => 0
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [2,4,5,6,1,3] => [2,1,1,1,1] => 0
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [1,2,6,5,4,3] => [4,1,1] => 0
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [1,2,5,6,4,3] => [3,1,1,1] => 0
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [1,2,4,6,5,3] => [3,1,1,1] => 0
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [1,2,5,4,6,3] => [3,1,1,1] => 0
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [1,2,4,5,6,3] => [2,1,1,1,1] => 0
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [3,6,5,2,1,4] => [4,1,1] => 0
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [3,5,6,2,1,4] => [3,1,1,1] => 0
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [2,3,6,5,1,4] => [3,1,1,1] => 0
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [2,3,5,6,1,4] => [2,1,1,1,1] => 0
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [1,3,6,5,2,4] => [3,1,1,1] => 0
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [1,3,5,6,2,4] => [2,1,1,1,1] => 0
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [2,1,6,5,3,4] => [3,2,1] => 1
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [2,1,5,6,3,4] => [2,2,1,1] => 1
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [1,2,3,6,5,4] => [3,1,1,1] => 0
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [1,2,3,5,6,4] => [2,1,1,1,1] => 0
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [4,6,3,2,1,5] => [4,1,1] => 0
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [3,4,6,2,1,5] => [3,1,1,1] => 0
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [2,4,6,3,1,5] => [3,1,1,1] => 0
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [3,2,6,4,1,5] => [3,2,1] => 1
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [2,3,4,6,1,5] => [2,1,1,1,1] => 0
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [1,4,6,3,2,5] => [3,1,1,1] => 0
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [1,3,4,6,2,5] => [2,1,1,1,1] => 0
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [2,4,6,1,3,5] => [2,1,1,1,1] => 0
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [1,2,4,6,3,5] => [2,1,1,1,1] => 0
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [3,2,6,1,4,5] => [3,1,1,1] => 0
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [2,3,1,6,4,5] => [2,2,1,1] => 1
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [1,3,2,6,4,5] => [2,2,1,1] => 1
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [2,1,3,6,4,5] => [2,2,1,1] => 1
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => [2,1,1,1,1] => 0
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => [5,1] => 0
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [4,5,3,2,1,6] => [4,1,1] => 0
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [3,5,4,2,1,6] => [4,1,1] => 0
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [4,3,5,2,1,6] => [4,1,1] => 0
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => [3,1,1,1] => 0
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [2,5,4,3,1,6] => [4,1,1] => 0
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [2,4,5,3,1,6] => [3,1,1,1] => 0
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [3,5,2,4,1,6] => [3,1,1,1] => 0
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [2,3,5,4,1,6] => [3,1,1,1] => 0
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [4,3,2,5,1,6] => [4,1,1] => 0
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => [3,1,1,1] => 0
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [2,4,3,5,1,6] => [3,1,1,1] => 0
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => [3,1,1,1] => 0
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [2,1,1,1,1] => 0
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [1,5,4,3,2,6] => [4,1,1] => 0
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [1,4,5,3,2,6] => [3,1,1,1] => 0
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [1,3,5,4,2,6] => [3,1,1,1] => 0
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [1,4,3,5,2,6] => [3,1,1,1] => 0
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [1,3,4,5,2,6] => [2,1,1,1,1] => 0
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [2,5,4,1,3,6] => [3,1,1,1] => 0
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [2,4,5,1,3,6] => [2,1,1,1,1] => 0
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [1,2,5,4,3,6] => [3,1,1,1] => 0
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [1,2,4,5,3,6] => [2,1,1,1,1] => 0
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [3,5,2,1,4,6] => [3,1,1,1] => 0
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [2,3,5,1,4,6] => [2,1,1,1,1] => 0
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [1,3,5,2,4,6] => [2,1,1,1,1] => 0
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [2,1,5,3,4,6] => [2,2,1,1] => 1
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => [2,1,1,1,1] => 0
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => [4,1,1] => 0
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => [3,1,1,1] => 0
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [2,4,3,1,5,6] => [3,1,1,1] => 0
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => [3,1,1,1] => 0
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [2,1,1,1,1] => 0
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [1,4,3,2,5,6] => [3,1,1,1] => 0
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [1,3,4,2,5,6] => [2,1,1,1,1] => 0
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => [2,1,1,1,1] => 0
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => [2,1,1,1,1] => 0
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [3,1,1,1] => 0
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [2,1,1,1,1] => 0
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => [2,1,1,1,1] => 0
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,1,1,1] => 0
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [7] => 0
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [6,7,5,4,3,2,1] => [6,1] => 0
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => [5,7,6,4,3,2,1] => [6,1] => 0
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [6,5,7,4,3,2,1] => [6,1] => 0
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [5,6,7,4,3,2,1] => [5,1,1] => 0
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => [4,7,6,5,3,2,1] => [6,1] => 0
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => [4,6,7,5,3,2,1] => [5,1,1] => 0
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => [5,7,4,6,3,2,1] => [5,1,1] => 0
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => [4,5,7,6,3,2,1] => [5,1,1] => 0
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [6,5,4,7,3,2,1] => [6,1] => 0
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [5,6,4,7,3,2,1] => [5,1,1] => 0
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => [4,6,5,7,3,2,1] => [5,1,1] => 0
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [5,4,6,7,3,2,1] => [5,1,1] => 0
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,5,6,7,3,2,1] => [4,1,1,1] => 0
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => [3,7,6,5,4,2,1] => [6,1] => 0
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => [3,6,7,5,4,2,1] => [5,1,1] => 0
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => [3,5,7,6,4,2,1] => [5,1,1] => 0
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => [3,6,5,7,4,2,1] => [5,1,1] => 0
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => [3,5,6,7,4,2,1] => [4,1,1,1] => 0
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => [4,7,6,3,5,2,1] => [5,1,1] => 0
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => [4,6,7,3,5,2,1] => [4,1,1,1] => 0
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => [3,4,7,6,5,2,1] => [5,1,1] => 0
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => [3,4,6,7,5,2,1] => [4,1,1,1] => 0
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => [5,7,4,3,6,2,1] => [5,1,1] => 0
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => [4,5,7,3,6,2,1] => [4,1,1,1] => 0
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => [3,5,7,4,6,2,1] => [4,1,1,1] => 0
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => [4,3,7,5,6,2,1] => [4,2,1] => 1
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => [3,4,5,7,6,2,1] => [4,1,1,1] => 0
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [6,5,4,3,7,2,1] => [6,1] => 0
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [5,6,4,3,7,2,1] => [5,1,1] => 0
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => [4,6,5,3,7,2,1] => [5,1,1] => 0
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [5,4,6,3,7,2,1] => [5,1,1] => 0
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [4,5,6,3,7,2,1] => [4,1,1,1] => 0
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => [3,6,5,4,7,2,1] => [5,1,1] => 0
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => [3,5,6,4,7,2,1] => [4,1,1,1] => 0
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => [4,6,3,5,7,2,1] => [4,1,1,1] => 0
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => [3,4,6,5,7,2,1] => [4,1,1,1] => 0
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [5,4,3,6,7,2,1] => [5,1,1] => 0
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [4,5,3,6,7,2,1] => [4,1,1,1] => 0
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => [3,5,4,6,7,2,1] => [4,1,1,1] => 0
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [4,3,5,6,7,2,1] => [4,1,1,1] => 0
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [3,4,5,6,7,2,1] => [3,1,1,1,1] => 0
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => [2,7,6,5,4,3,1] => [6,1] => 0
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => [2,6,7,5,4,3,1] => [5,1,1] => 0
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => [2,5,7,6,4,3,1] => [5,1,1] => 0
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [2,6,5,7,4,3,1] => [5,1,1] => 0
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => [2,5,6,7,4,3,1] => [4,1,1,1] => 0
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => [2,4,7,6,5,3,1] => [5,1,1] => 0
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => [2,4,6,7,5,3,1] => [4,1,1,1] => 0
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => [2,5,7,4,6,3,1] => [4,1,1,1] => 0
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => [2,4,5,7,6,3,1] => [4,1,1,1] => 0
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => [2,6,5,4,7,3,1] => [5,1,1] => 0
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => [2,5,6,4,7,3,1] => [4,1,1,1] => 0
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => [2,4,6,5,7,3,1] => [4,1,1,1] => 0
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => [2,5,4,6,7,3,1] => [4,1,1,1] => 0
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => [2,4,5,6,7,3,1] => [3,1,1,1,1] => 0
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => [3,7,6,5,2,4,1] => [5,1,1] => 0
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => [3,6,7,5,2,4,1] => [4,1,1,1] => 0
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => [3,5,7,6,2,4,1] => [4,1,1,1] => 0
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => [3,6,5,7,2,4,1] => [4,1,1,1] => 0
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => [3,5,6,7,2,4,1] => [3,1,1,1,1] => 0
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => [2,3,7,6,5,4,1] => [5,1,1] => 0
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => [2,3,6,7,5,4,1] => [4,1,1,1] => 0
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [2,3,5,7,6,4,1] => [4,1,1,1] => 0
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [2,3,6,5,7,4,1] => [4,1,1,1] => 0
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => [2,3,5,6,7,4,1] => [3,1,1,1,1] => 0
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => [4,7,6,3,2,5,1] => [5,1,1] => 0
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => [4,6,7,3,2,5,1] => [4,1,1,1] => 0
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => [3,4,7,6,2,5,1] => [4,1,1,1] => 0
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => [3,4,6,7,2,5,1] => [3,1,1,1,1] => 0
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [2,4,7,6,3,5,1] => [4,1,1,1] => 0
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => [2,4,6,7,3,5,1] => [3,1,1,1,1] => 0
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => [3,2,7,6,4,5,1] => [4,2,1] => 1
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => [3,2,6,7,4,5,1] => [3,2,1,1] => 1
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => [2,3,4,7,6,5,1] => [4,1,1,1] => 0
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => [2,3,4,6,7,5,1] => [3,1,1,1,1] => 0
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => [5,7,4,3,2,6,1] => [5,1,1] => 0
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => [4,5,7,3,2,6,1] => [4,1,1,1] => 0
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => [3,5,7,4,2,6,1] => [4,1,1,1] => 0
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => [4,3,7,5,2,6,1] => [4,2,1] => 1
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => [3,4,5,7,2,6,1] => [3,1,1,1,1] => 0
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => [2,5,7,4,3,6,1] => [4,1,1,1] => 0
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => [2,4,5,7,3,6,1] => [3,1,1,1,1] => 0
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => [3,5,7,2,4,6,1] => [3,1,1,1,1] => 0
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => [2,3,5,7,4,6,1] => [3,1,1,1,1] => 0
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => [4,3,7,2,5,6,1] => [4,1,1,1] => 0
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => [3,4,2,7,5,6,1] => [3,2,1,1] => 1
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => [2,4,3,7,5,6,1] => [3,2,1,1] => 1
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => [3,2,4,7,5,6,1] => [3,2,1,1] => 1
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => [2,3,4,5,7,6,1] => [3,1,1,1,1] => 0
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [6,5,4,3,2,7,1] => [6,1] => 0
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [5,6,4,3,2,7,1] => [5,1,1] => 0
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => [4,6,5,3,2,7,1] => [5,1,1] => 0
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [5,4,6,3,2,7,1] => [5,1,1] => 0
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [4,5,6,3,2,7,1] => [4,1,1,1] => 0
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => [3,6,5,4,2,7,1] => [5,1,1] => 0
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => [3,5,6,4,2,7,1] => [4,1,1,1] => 0
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => [4,6,3,5,2,7,1] => [4,1,1,1] => 0
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => [3,4,6,5,2,7,1] => [4,1,1,1] => 0
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [5,4,3,6,2,7,1] => [5,1,1] => 0
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [4,5,3,6,2,7,1] => [4,1,1,1] => 0
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => [3,5,4,6,2,7,1] => [4,1,1,1] => 0
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [4,3,5,6,2,7,1] => [4,1,1,1] => 0
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [3,4,5,6,2,7,1] => [3,1,1,1,1] => 0
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => [2,6,5,4,3,7,1] => [5,1,1] => 0
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => [2,5,6,4,3,7,1] => [4,1,1,1] => 0
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => [2,4,6,5,3,7,1] => [4,1,1,1] => 0
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => [2,5,4,6,3,7,1] => [4,1,1,1] => 0
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => [2,4,5,6,3,7,1] => [3,1,1,1,1] => 0
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => [3,6,5,2,4,7,1] => [4,1,1,1] => 0
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => [3,5,6,2,4,7,1] => [3,1,1,1,1] => 0
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => [2,3,6,5,4,7,1] => [4,1,1,1] => 0
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [2,3,5,6,4,7,1] => [3,1,1,1,1] => 0
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => [4,6,3,2,5,7,1] => [4,1,1,1] => 0
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => [3,4,6,2,5,7,1] => [3,1,1,1,1] => 0
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => [2,4,6,3,5,7,1] => [3,1,1,1,1] => 0
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => [3,2,6,4,5,7,1] => [3,2,1,1] => 1
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => [2,3,4,6,5,7,1] => [3,1,1,1,1] => 0
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [5,4,3,2,6,7,1] => [5,1,1] => 0
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [4,5,3,2,6,7,1] => [4,1,1,1] => 0
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => [3,5,4,2,6,7,1] => [4,1,1,1] => 0
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [4,3,5,2,6,7,1] => [4,1,1,1] => 0
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [3,4,5,2,6,7,1] => [3,1,1,1,1] => 0
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => [2,5,4,3,6,7,1] => [4,1,1,1] => 0
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => [2,4,5,3,6,7,1] => [3,1,1,1,1] => 0
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => [3,5,2,4,6,7,1] => [3,1,1,1,1] => 0
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => [2,3,5,4,6,7,1] => [3,1,1,1,1] => 0
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [4,3,2,5,6,7,1] => [4,1,1,1] => 0
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [3,4,2,5,6,7,1] => [3,1,1,1,1] => 0
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => [2,4,3,5,6,7,1] => [3,1,1,1,1] => 0
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [3,2,4,5,6,7,1] => [3,1,1,1,1] => 0
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => [2,1,1,1,1,1] => 0
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [1,7,6,5,4,3,2] => [6,1] => 0
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [1,6,7,5,4,3,2] => [5,1,1] => 0
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [1,5,7,6,4,3,2] => [5,1,1] => 0
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [1,6,5,7,4,3,2] => [5,1,1] => 0
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [1,5,6,7,4,3,2] => [4,1,1,1] => 0
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [1,4,7,6,5,3,2] => [5,1,1] => 0
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [1,4,6,7,5,3,2] => [4,1,1,1] => 0
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [1,5,7,4,6,3,2] => [4,1,1,1] => 0
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [1,4,5,7,6,3,2] => [4,1,1,1] => 0
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [1,6,5,4,7,3,2] => [5,1,1] => 0
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [1,5,6,4,7,3,2] => [4,1,1,1] => 0
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [1,4,6,5,7,3,2] => [4,1,1,1] => 0
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [1,5,4,6,7,3,2] => [4,1,1,1] => 0
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [1,4,5,6,7,3,2] => [3,1,1,1,1] => 0
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [1,3,7,6,5,4,2] => [5,1,1] => 0
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [1,3,6,7,5,4,2] => [4,1,1,1] => 0
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [1,3,5,7,6,4,2] => [4,1,1,1] => 0
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [1,3,6,5,7,4,2] => [4,1,1,1] => 0
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [1,3,5,6,7,4,2] => [3,1,1,1,1] => 0
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [1,4,7,6,3,5,2] => [4,1,1,1] => 0
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [1,4,6,7,3,5,2] => [3,1,1,1,1] => 0
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [1,3,4,7,6,5,2] => [4,1,1,1] => 0
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [1,3,4,6,7,5,2] => [3,1,1,1,1] => 0
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [1,5,7,4,3,6,2] => [4,1,1,1] => 0
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [1,4,5,7,3,6,2] => [3,1,1,1,1] => 0
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [1,3,5,7,4,6,2] => [3,1,1,1,1] => 0
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [1,4,3,7,5,6,2] => [3,2,1,1] => 1
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [1,3,4,5,7,6,2] => [3,1,1,1,1] => 0
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [1,6,5,4,3,7,2] => [5,1,1] => 0
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [1,5,6,4,3,7,2] => [4,1,1,1] => 0
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [1,4,6,5,3,7,2] => [4,1,1,1] => 0
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [1,5,4,6,3,7,2] => [4,1,1,1] => 0
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [1,4,5,6,3,7,2] => [3,1,1,1,1] => 0
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [1,3,6,5,4,7,2] => [4,1,1,1] => 0
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [1,3,5,6,4,7,2] => [3,1,1,1,1] => 0
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [1,4,6,3,5,7,2] => [3,1,1,1,1] => 0
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [1,3,4,6,5,7,2] => [3,1,1,1,1] => 0
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [1,5,4,3,6,7,2] => [4,1,1,1] => 0
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [1,4,5,3,6,7,2] => [3,1,1,1,1] => 0
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [1,3,5,4,6,7,2] => [3,1,1,1,1] => 0
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [1,4,3,5,6,7,2] => [3,1,1,1,1] => 0
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [1,3,4,5,6,7,2] => [2,1,1,1,1,1] => 0
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => [2,7,6,5,4,1,3] => [5,1,1] => 0
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [2,6,7,5,4,1,3] => [4,1,1,1] => 0
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => [2,5,7,6,4,1,3] => [4,1,1,1] => 0
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [2,6,5,7,4,1,3] => [4,1,1,1] => 0
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => [2,5,6,7,4,1,3] => [3,1,1,1,1] => 0
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => [2,4,7,6,5,1,3] => [4,1,1,1] => 0
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => [2,4,6,7,5,1,3] => [3,1,1,1,1] => 0
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => [2,5,7,4,6,1,3] => [3,1,1,1,1] => 0
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => [2,4,5,7,6,1,3] => [3,1,1,1,1] => 0
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => [2,6,5,4,7,1,3] => [4,1,1,1] => 0
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => [2,5,6,4,7,1,3] => [3,1,1,1,1] => 0
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => [2,4,6,5,7,1,3] => [3,1,1,1,1] => 0
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => [2,5,4,6,7,1,3] => [3,1,1,1,1] => 0
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => [2,4,5,6,7,1,3] => [2,1,1,1,1,1] => 0
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [1,2,7,6,5,4,3] => [5,1,1] => 0
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [1,2,6,7,5,4,3] => [4,1,1,1] => 0
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [1,2,5,7,6,4,3] => [4,1,1,1] => 0
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [1,2,6,5,7,4,3] => [4,1,1,1] => 0
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [1,2,5,6,7,4,3] => [3,1,1,1,1] => 0
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [1,2,4,7,6,5,3] => [4,1,1,1] => 0
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [1,2,4,6,7,5,3] => [3,1,1,1,1] => 0
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [1,2,5,7,4,6,3] => [3,1,1,1,1] => 0
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [1,2,4,5,7,6,3] => [3,1,1,1,1] => 0
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [1,2,6,5,4,7,3] => [4,1,1,1] => 0
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [1,2,5,6,4,7,3] => [3,1,1,1,1] => 0
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [1,2,4,6,5,7,3] => [3,1,1,1,1] => 0
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [1,2,5,4,6,7,3] => [3,1,1,1,1] => 0
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [1,2,4,5,6,7,3] => [2,1,1,1,1,1] => 0
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => [3,7,6,5,2,1,4] => [5,1,1] => 0
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => [3,6,7,5,2,1,4] => [4,1,1,1] => 0
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => [3,5,7,6,2,1,4] => [4,1,1,1] => 0
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => [3,6,5,7,2,1,4] => [4,1,1,1] => 0
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => [3,5,6,7,2,1,4] => [3,1,1,1,1] => 0
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => [2,3,7,6,5,1,4] => [4,1,1,1] => 0
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => [2,3,6,7,5,1,4] => [3,1,1,1,1] => 0
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => [2,3,5,7,6,1,4] => [3,1,1,1,1] => 0
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => [2,3,6,5,7,1,4] => [3,1,1,1,1] => 0
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => [2,3,5,6,7,1,4] => [2,1,1,1,1,1] => 0
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [1,3,7,6,5,2,4] => [4,1,1,1] => 0
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [1,3,6,7,5,2,4] => [3,1,1,1,1] => 0
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [1,3,5,7,6,2,4] => [3,1,1,1,1] => 0
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [1,3,6,5,7,2,4] => [3,1,1,1,1] => 0
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [1,3,5,6,7,2,4] => [2,1,1,1,1,1] => 0
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [2,1,7,6,5,3,4] => [4,2,1] => 1
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => [2,1,6,7,5,3,4] => [3,2,1,1] => 1
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => [2,1,5,7,6,3,4] => [3,2,1,1] => 1
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [2,1,6,5,7,3,4] => [3,2,1,1] => 1
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => [2,1,5,6,7,3,4] => [2,2,1,1,1] => 1
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [1,2,3,7,6,5,4] => [4,1,1,1] => 0
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [1,2,3,6,7,5,4] => [3,1,1,1,1] => 0
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [1,2,3,5,7,6,4] => [3,1,1,1,1] => 0
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [1,2,3,6,5,7,4] => [3,1,1,1,1] => 0
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [1,2,3,5,6,7,4] => [2,1,1,1,1,1] => 0
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => [4,7,6,3,2,1,5] => [5,1,1] => 0
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => [4,6,7,3,2,1,5] => [4,1,1,1] => 0
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => [3,4,7,6,2,1,5] => [4,1,1,1] => 0
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => [3,4,6,7,2,1,5] => [3,1,1,1,1] => 0
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => [2,4,7,6,3,1,5] => [4,1,1,1] => 0
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => [2,4,6,7,3,1,5] => [3,1,1,1,1] => 0
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => [3,2,7,6,4,1,5] => [4,2,1] => 1
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => [3,2,6,7,4,1,5] => [3,2,1,1] => 1
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [2,3,4,7,6,1,5] => [3,1,1,1,1] => 0
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => [2,3,4,6,7,1,5] => [2,1,1,1,1,1] => 0
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [1,4,7,6,3,2,5] => [4,1,1,1] => 0
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [1,4,6,7,3,2,5] => [3,1,1,1,1] => 0
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [1,3,4,7,6,2,5] => [3,1,1,1,1] => 0
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [1,3,4,6,7,2,5] => [2,1,1,1,1,1] => 0
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => [2,4,7,6,1,3,5] => [3,1,1,1,1] => 0
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => [2,4,6,7,1,3,5] => [2,1,1,1,1,1] => 0
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [1,2,4,7,6,3,5] => [3,1,1,1,1] => 0
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [1,2,4,6,7,3,5] => [2,1,1,1,1,1] => 0
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => [3,2,7,6,1,4,5] => [3,2,1,1] => 1
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => [3,2,6,7,1,4,5] => [3,1,1,1,1] => 0
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => [2,3,1,7,6,4,5] => [3,2,1,1] => 1
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [2,3,1,6,7,4,5] => [2,2,1,1,1] => 1
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [1,3,2,7,6,4,5] => [3,2,1,1] => 1
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [1,3,2,6,7,4,5] => [2,2,1,1,1] => 1
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [2,1,3,7,6,4,5] => [3,2,1,1] => 1
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [2,1,3,6,7,4,5] => [2,2,1,1,1] => 1
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [1,2,3,4,7,6,5] => [3,1,1,1,1] => 0
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [1,2,3,4,6,7,5] => [2,1,1,1,1,1] => 0
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => [5,7,4,3,2,1,6] => [5,1,1] => 0
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => [4,5,7,3,2,1,6] => [4,1,1,1] => 0
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => [3,5,7,4,2,1,6] => [4,1,1,1] => 0
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => [4,3,7,5,2,1,6] => [4,2,1] => 1
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => [3,4,5,7,2,1,6] => [3,1,1,1,1] => 0
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => [2,5,7,4,3,1,6] => [4,1,1,1] => 0
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => [2,4,5,7,3,1,6] => [3,1,1,1,1] => 0
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => [3,5,7,2,4,1,6] => [3,1,1,1,1] => 0
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => [2,3,5,7,4,1,6] => [3,1,1,1,1] => 0
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => [4,3,7,2,5,1,6] => [4,1,1,1] => 0
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => [3,4,2,7,5,1,6] => [3,2,1,1] => 1
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => [2,4,3,7,5,1,6] => [3,2,1,1] => 1
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => [3,2,4,7,5,1,6] => [3,2,1,1] => 1
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [2,3,4,5,7,1,6] => [2,1,1,1,1,1] => 0
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [1,5,7,4,3,2,6] => [4,1,1,1] => 0
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [1,4,5,7,3,2,6] => [3,1,1,1,1] => 0
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [1,3,5,7,4,2,6] => [3,1,1,1,1] => 0
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [1,4,3,7,5,2,6] => [3,2,1,1] => 1
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [1,3,4,5,7,2,6] => [2,1,1,1,1,1] => 0
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => [2,5,7,4,1,3,6] => [3,1,1,1,1] => 0
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => [2,4,5,7,1,3,6] => [2,1,1,1,1,1] => 0
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [1,2,5,7,4,3,6] => [3,1,1,1,1] => 0
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [1,2,4,5,7,3,6] => [2,1,1,1,1,1] => 0
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => [3,5,7,2,1,4,6] => [3,1,1,1,1] => 0
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => [2,3,5,7,1,4,6] => [2,1,1,1,1,1] => 0
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [1,3,5,7,2,4,6] => [2,1,1,1,1,1] => 0
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [2,1,5,7,3,4,6] => [2,2,1,1,1] => 1
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [1,2,3,5,7,4,6] => [2,1,1,1,1,1] => 0
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => [4,3,7,2,1,5,6] => [4,1,1,1] => 0
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => [3,4,2,7,1,5,6] => [3,1,1,1,1] => 0
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => [2,4,3,7,1,5,6] => [3,1,1,1,1] => 0
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => [3,2,4,7,1,5,6] => [3,1,1,1,1] => 0
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => [2,3,4,1,7,5,6] => [2,2,1,1,1] => 1
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [1,4,3,7,2,5,6] => [3,1,1,1,1] => 0
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [1,3,4,2,7,5,6] => [2,2,1,1,1] => 1
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [2,4,1,7,3,5,6] => [2,2,1,1,1] => 1
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [1,2,4,3,7,5,6] => [2,2,1,1,1] => 1
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [3,2,1,7,4,5,6] => [3,2,1,1] => 1
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [2,3,1,4,7,5,6] => [2,2,1,1,1] => 1
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [1,3,2,4,7,5,6] => [2,2,1,1,1] => 1
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [2,1,3,4,7,5,6] => [2,2,1,1,1] => 1
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [1,2,3,4,5,7,6] => [2,1,1,1,1,1] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [6,1] => 0
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [5,6,4,3,2,1,7] => [5,1,1] => 0
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => [4,6,5,3,2,1,7] => [5,1,1] => 0
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [5,4,6,3,2,1,7] => [5,1,1] => 0
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [4,5,6,3,2,1,7] => [4,1,1,1] => 0
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => [3,6,5,4,2,1,7] => [5,1,1] => 0
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => [3,5,6,4,2,1,7] => [4,1,1,1] => 0
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => [4,6,3,5,2,1,7] => [4,1,1,1] => 0
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => [3,4,6,5,2,1,7] => [4,1,1,1] => 0
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [5,4,3,6,2,1,7] => [5,1,1] => 0
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [4,5,3,6,2,1,7] => [4,1,1,1] => 0
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => [3,5,4,6,2,1,7] => [4,1,1,1] => 0
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [4,3,5,6,2,1,7] => [4,1,1,1] => 0
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [3,4,5,6,2,1,7] => [3,1,1,1,1] => 0
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => [2,6,5,4,3,1,7] => [5,1,1] => 0
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => [2,5,6,4,3,1,7] => [4,1,1,1] => 0
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => [2,4,6,5,3,1,7] => [4,1,1,1] => 0
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => [2,5,4,6,3,1,7] => [4,1,1,1] => 0
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => [2,4,5,6,3,1,7] => [3,1,1,1,1] => 0
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => [3,6,5,2,4,1,7] => [4,1,1,1] => 0
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => [3,5,6,2,4,1,7] => [3,1,1,1,1] => 0
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => [2,3,6,5,4,1,7] => [4,1,1,1] => 0
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => [2,3,5,6,4,1,7] => [3,1,1,1,1] => 0
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => [4,6,3,2,5,1,7] => [4,1,1,1] => 0
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => [3,4,6,2,5,1,7] => [3,1,1,1,1] => 0
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => [2,4,6,3,5,1,7] => [3,1,1,1,1] => 0
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => [3,2,6,4,5,1,7] => [3,2,1,1] => 1
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => [2,3,4,6,5,1,7] => [3,1,1,1,1] => 0
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [5,4,3,2,6,1,7] => [5,1,1] => 0
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [4,5,3,2,6,1,7] => [4,1,1,1] => 0
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => [3,5,4,2,6,1,7] => [4,1,1,1] => 0
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [4,3,5,2,6,1,7] => [4,1,1,1] => 0
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [3,4,5,2,6,1,7] => [3,1,1,1,1] => 0
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => [2,5,4,3,6,1,7] => [4,1,1,1] => 0
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => [2,4,5,3,6,1,7] => [3,1,1,1,1] => 0
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => [3,5,2,4,6,1,7] => [3,1,1,1,1] => 0
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => [2,3,5,4,6,1,7] => [3,1,1,1,1] => 0
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [4,3,2,5,6,1,7] => [4,1,1,1] => 0
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [3,4,2,5,6,1,7] => [3,1,1,1,1] => 0
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => [2,4,3,5,6,1,7] => [3,1,1,1,1] => 0
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [3,2,4,5,6,1,7] => [3,1,1,1,1] => 0
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7] => [2,1,1,1,1,1] => 0
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [1,6,5,4,3,2,7] => [5,1,1] => 0
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [1,5,6,4,3,2,7] => [4,1,1,1] => 0
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [1,4,6,5,3,2,7] => [4,1,1,1] => 0
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [1,5,4,6,3,2,7] => [4,1,1,1] => 0
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [1,4,5,6,3,2,7] => [3,1,1,1,1] => 0
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [1,3,6,5,4,2,7] => [4,1,1,1] => 0
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [1,3,5,6,4,2,7] => [3,1,1,1,1] => 0
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [1,4,6,3,5,2,7] => [3,1,1,1,1] => 0
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [1,3,4,6,5,2,7] => [3,1,1,1,1] => 0
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [1,5,4,3,6,2,7] => [4,1,1,1] => 0
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [1,4,5,3,6,2,7] => [3,1,1,1,1] => 0
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [1,3,5,4,6,2,7] => [3,1,1,1,1] => 0
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [1,4,3,5,6,2,7] => [3,1,1,1,1] => 0
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [1,3,4,5,6,2,7] => [2,1,1,1,1,1] => 0
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => [2,6,5,4,1,3,7] => [4,1,1,1] => 0
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => [2,5,6,4,1,3,7] => [3,1,1,1,1] => 0
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => [2,4,6,5,1,3,7] => [3,1,1,1,1] => 0
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => [2,5,4,6,1,3,7] => [3,1,1,1,1] => 0
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => [2,4,5,6,1,3,7] => [2,1,1,1,1,1] => 0
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [1,2,6,5,4,3,7] => [4,1,1,1] => 0
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [1,2,5,6,4,3,7] => [3,1,1,1,1] => 0
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [1,2,4,6,5,3,7] => [3,1,1,1,1] => 0
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [1,2,5,4,6,3,7] => [3,1,1,1,1] => 0
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [1,2,4,5,6,3,7] => [2,1,1,1,1,1] => 0
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => [3,6,5,2,1,4,7] => [4,1,1,1] => 0
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => [3,5,6,2,1,4,7] => [3,1,1,1,1] => 0
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => [2,3,6,5,1,4,7] => [3,1,1,1,1] => 0
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => [2,3,5,6,1,4,7] => [2,1,1,1,1,1] => 0
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [1,3,6,5,2,4,7] => [3,1,1,1,1] => 0
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [1,3,5,6,2,4,7] => [2,1,1,1,1,1] => 0
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [2,1,6,5,3,4,7] => [3,2,1,1] => 1
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [2,1,5,6,3,4,7] => [2,2,1,1,1] => 1
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [1,2,3,6,5,4,7] => [3,1,1,1,1] => 0
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [1,2,3,5,6,4,7] => [2,1,1,1,1,1] => 0
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => [4,6,3,2,1,5,7] => [4,1,1,1] => 0
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => [3,4,6,2,1,5,7] => [3,1,1,1,1] => 0
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => [2,4,6,3,1,5,7] => [3,1,1,1,1] => 0
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => [3,2,6,4,1,5,7] => [3,2,1,1] => 1
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => [2,3,4,6,1,5,7] => [2,1,1,1,1,1] => 0
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [1,4,6,3,2,5,7] => [3,1,1,1,1] => 0
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [1,3,4,6,2,5,7] => [2,1,1,1,1,1] => 0
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [2,4,6,1,3,5,7] => [2,1,1,1,1,1] => 0
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [1,2,4,6,3,5,7] => [2,1,1,1,1,1] => 0
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [3,2,6,1,4,5,7] => [3,1,1,1,1] => 0
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [2,3,1,6,4,5,7] => [2,2,1,1,1] => 1
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [1,3,2,6,4,5,7] => [2,2,1,1,1] => 1
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [2,1,3,6,4,5,7] => [2,2,1,1,1] => 1
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [1,2,3,4,6,5,7] => [2,1,1,1,1,1] => 0
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => [5,1,1] => 0
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,5,3,2,1,6,7] => [4,1,1,1] => 0
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => [3,5,4,2,1,6,7] => [4,1,1,1] => 0
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [4,3,5,2,1,6,7] => [4,1,1,1] => 0
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [3,4,5,2,1,6,7] => [3,1,1,1,1] => 0
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => [2,5,4,3,1,6,7] => [4,1,1,1] => 0
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => [2,4,5,3,1,6,7] => [3,1,1,1,1] => 0
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => [3,5,2,4,1,6,7] => [3,1,1,1,1] => 0
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => [2,3,5,4,1,6,7] => [3,1,1,1,1] => 0
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [4,3,2,5,1,6,7] => [4,1,1,1] => 0
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [3,4,2,5,1,6,7] => [3,1,1,1,1] => 0
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => [2,4,3,5,1,6,7] => [3,1,1,1,1] => 0
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [3,2,4,5,1,6,7] => [3,1,1,1,1] => 0
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => [2,1,1,1,1,1] => 0
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [1,5,4,3,2,6,7] => [4,1,1,1] => 0
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [1,4,5,3,2,6,7] => [3,1,1,1,1] => 0
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [1,3,5,4,2,6,7] => [3,1,1,1,1] => 0
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [1,4,3,5,2,6,7] => [3,1,1,1,1] => 0
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [1,3,4,5,2,6,7] => [2,1,1,1,1,1] => 0
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [2,5,4,1,3,6,7] => [3,1,1,1,1] => 0
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [2,4,5,1,3,6,7] => [2,1,1,1,1,1] => 0
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [1,2,5,4,3,6,7] => [3,1,1,1,1] => 0
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [1,2,4,5,3,6,7] => [2,1,1,1,1,1] => 0
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [3,5,2,1,4,6,7] => [3,1,1,1,1] => 0
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [2,3,5,1,4,6,7] => [2,1,1,1,1,1] => 0
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [1,3,5,2,4,6,7] => [2,1,1,1,1,1] => 0
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [2,1,5,3,4,6,7] => [2,2,1,1,1] => 1
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [1,2,3,5,4,6,7] => [2,1,1,1,1,1] => 0
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => [4,1,1,1] => 0
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [3,4,2,1,5,6,7] => [3,1,1,1,1] => 0
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [2,4,3,1,5,6,7] => [3,1,1,1,1] => 0
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [3,2,4,1,5,6,7] => [3,1,1,1,1] => 0
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [2,1,1,1,1,1] => 0
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [1,4,3,2,5,6,7] => [3,1,1,1,1] => 0
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [1,3,4,2,5,6,7] => [2,1,1,1,1,1] => 0
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [2,4,1,3,5,6,7] => [2,1,1,1,1,1] => 0
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [1,2,4,3,5,6,7] => [2,1,1,1,1,1] => 0
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [3,1,1,1,1] => 0
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [2,1,1,1,1,1] => 0
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => [2,1,1,1,1,1] => 0
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,1,1,1,1] => 0
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,1,1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [8] => 0
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [7,8,6,5,4,3,2,1] => [7,1] => 0
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [6,8,7,5,4,3,2,1] => [7,1] => 0
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [7,6,8,5,4,3,2,1] => [7,1] => 0
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [6,7,8,5,4,3,2,1] => [6,1,1] => 0
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [5,8,7,6,4,3,2,1] => [7,1] => 0
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [7,8,5,6,4,3,2,1] => [5,7,8,6,4,3,2,1] => [6,1,1] => 0
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [8,6,5,7,4,3,2,1] => [6,8,5,7,4,3,2,1] => [6,1,1] => 0
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [8,5,6,7,4,3,2,1] => [5,6,8,7,4,3,2,1] => [6,1,1] => 0
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [7,6,5,8,4,3,2,1] => [7,1] => 0
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [6,7,5,8,4,3,2,1] => [6,1,1] => 0
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [7,5,6,8,4,3,2,1] => [5,7,6,8,4,3,2,1] => [6,1,1] => 0
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [6,5,7,8,4,3,2,1] => [6,1,1] => 0
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [5,6,7,8,4,3,2,1] => [5,1,1,1] => 0
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [4,8,7,6,5,3,2,1] => [7,1] => 0
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [7,8,6,4,5,3,2,1] => [4,7,8,6,5,3,2,1] => [6,1,1] => 0
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [8,6,7,4,5,3,2,1] => [4,6,8,7,5,3,2,1] => [6,1,1] => 0
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [7,6,8,4,5,3,2,1] => [4,7,6,8,5,3,2,1] => [6,1,1] => 0
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [8,7,5,4,6,3,2,1] => [5,8,7,4,6,3,2,1] => [6,1,1] => 0
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [7,8,5,4,6,3,2,1] => [5,7,8,4,6,3,2,1] => [5,1,1,1] => 0
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [8,7,4,5,6,3,2,1] => [4,5,8,7,6,3,2,1] => [6,1,1] => 0
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [8,6,5,4,7,3,2,1] => [6,8,5,4,7,3,2,1] => [6,1,1] => 0
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [8,5,6,4,7,3,2,1] => [5,6,8,4,7,3,2,1] => [5,1,1,1] => 0
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [8,4,5,6,7,3,2,1] => [4,5,6,8,7,3,2,1] => [5,1,1,1] => 0
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [7,6,5,4,8,3,2,1] => [7,1] => 0
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [6,7,5,4,8,3,2,1] => [6,1,1] => 0
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [7,5,6,4,8,3,2,1] => [5,7,6,4,8,3,2,1] => [6,1,1] => 0
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [6,5,7,4,8,3,2,1] => [6,1,1] => 0
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [5,6,7,4,8,3,2,1] => [5,1,1,1] => 0
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [7,6,4,5,8,3,2,1] => [4,7,6,5,8,3,2,1] => [6,1,1] => 0
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [6,7,4,5,8,3,2,1] => [4,6,7,5,8,3,2,1] => [5,1,1,1] => 0
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [7,5,4,6,8,3,2,1] => [5,7,4,6,8,3,2,1] => [5,1,1,1] => 0
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [7,4,5,6,8,3,2,1] => [4,5,7,6,8,3,2,1] => [5,1,1,1] => 0
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [6,5,4,7,8,3,2,1] => [6,1,1] => 0
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [5,6,4,7,8,3,2,1] => [5,1,1,1] => 0
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [6,4,5,7,8,3,2,1] => [4,6,5,7,8,3,2,1] => [5,1,1,1] => 0
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [5,4,6,7,8,3,2,1] => [5,1,1,1] => 0
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [4,5,6,7,8,3,2,1] => [4,1,1,1,1] => 0
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,3,4,2,1] => [3,8,7,6,5,4,2,1] => [7,1] => 0
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [7,8,6,5,3,4,2,1] => [3,7,8,6,5,4,2,1] => [6,1,1] => 0
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [8,6,7,5,3,4,2,1] => [3,6,8,7,5,4,2,1] => [6,1,1] => 0
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [7,6,8,5,3,4,2,1] => [3,7,6,8,5,4,2,1] => [6,1,1] => 0
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [8,7,5,6,3,4,2,1] => [3,5,8,7,6,4,2,1] => [6,1,1] => 0
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [7,8,5,6,3,4,2,1] => [3,5,7,8,6,4,2,1] => [5,1,1,1] => 0
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [8,6,5,7,3,4,2,1] => [3,6,8,5,7,4,2,1] => [5,1,1,1] => 0
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [8,5,6,7,3,4,2,1] => [3,5,6,8,7,4,2,1] => [5,1,1,1] => 0
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [7,6,5,8,3,4,2,1] => [3,7,6,5,8,4,2,1] => [6,1,1] => 0
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [7,5,6,8,3,4,2,1] => [3,5,7,6,8,4,2,1] => [5,1,1,1] => 0
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [5,6,7,8,3,4,2,1] => [3,5,6,7,8,4,2,1] => [4,1,1,1,1] => 0
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [8,7,6,4,3,5,2,1] => [4,8,7,6,3,5,2,1] => [6,1,1] => 0
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [7,8,6,4,3,5,2,1] => [4,7,8,6,3,5,2,1] => [5,1,1,1] => 0
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [6,7,8,4,3,5,2,1] => [4,6,7,8,3,5,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [8,7,6,3,4,5,2,1] => [3,4,8,7,6,5,2,1] => [6,1,1] => 0
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [6,7,8,3,4,5,2,1] => [3,4,6,7,8,5,2,1] => [4,1,1,1,1] => 0
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [5,8,7,4,3,6,2,1] => [6,1,1] => 0
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [7,8,5,4,3,6,2,1] => [5,7,8,4,3,6,2,1] => [5,1,1,1] => 0
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [8,7,4,5,3,6,2,1] => [4,5,8,7,3,6,2,1] => [5,1,1,1] => 0
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [7,8,5,3,4,6,2,1] => [3,5,7,8,4,6,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [8,7,4,3,5,6,2,1] => [4,3,8,7,5,6,2,1] => [5,2,1] => 1
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [7,8,4,3,5,6,2,1] => [4,3,7,8,5,6,2,1] => [4,2,1,1] => 1
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [8,7,3,4,5,6,2,1] => [3,4,5,8,7,6,2,1] => [5,1,1,1] => 0
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [7,8,3,4,5,6,2,1] => [3,4,5,7,8,6,2,1] => [4,1,1,1,1] => 0
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [8,6,5,4,3,7,2,1] => [6,8,5,4,3,7,2,1] => [6,1,1] => 0
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [8,5,6,4,3,7,2,1] => [5,6,8,4,3,7,2,1] => [5,1,1,1] => 0
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [8,6,4,5,3,7,2,1] => [4,6,8,5,3,7,2,1] => [5,1,1,1] => 0
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [8,5,4,6,3,7,2,1] => [5,4,8,6,3,7,2,1] => [5,2,1] => 1
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [8,5,6,3,4,7,2,1] => [3,5,6,8,4,7,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [8,6,4,3,5,7,2,1] => [4,6,8,3,5,7,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [8,6,3,4,5,7,2,1] => [3,4,6,8,5,7,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [8,4,3,5,6,7,2,1] => [4,3,5,8,6,7,2,1] => [4,2,1,1] => 1
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [8,3,4,5,6,7,2,1] => [3,4,5,6,8,7,2,1] => [4,1,1,1,1] => 0
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [7,6,5,4,3,8,2,1] => [7,1] => 0
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [6,7,5,4,3,8,2,1] => [6,1,1] => 0
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [7,5,6,4,3,8,2,1] => [5,7,6,4,3,8,2,1] => [6,1,1] => 0
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [5,6,7,4,3,8,2,1] => [5,1,1,1] => 0
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [7,6,4,5,3,8,2,1] => [4,7,6,5,3,8,2,1] => [6,1,1] => 0
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [7,5,4,6,3,8,2,1] => [5,7,4,6,3,8,2,1] => [5,1,1,1] => 0
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [6,5,4,7,3,8,2,1] => [6,1,1] => 0
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [5,4,6,7,3,8,2,1] => [5,1,1,1] => 0
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [4,5,6,7,3,8,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [7,6,5,3,4,8,2,1] => [3,7,6,5,4,8,2,1] => [6,1,1] => 0
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [5,6,7,3,4,8,2,1] => [3,5,6,7,4,8,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [7,6,4,3,5,8,2,1] => [4,7,6,3,5,8,2,1] => [5,1,1,1] => 0
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [7,6,3,4,5,8,2,1] => [3,4,7,6,5,8,2,1] => [5,1,1,1] => 0
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [7,5,4,3,6,8,2,1] => [5,7,4,3,6,8,2,1] => [5,1,1,1] => 0
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [7,4,5,3,6,8,2,1] => [4,5,7,3,6,8,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [7,5,3,4,6,8,2,1] => [3,5,7,4,6,8,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [7,4,3,5,6,8,2,1] => [4,3,7,5,6,8,2,1] => [4,2,1,1] => 1
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [7,3,4,5,6,8,2,1] => [3,4,5,7,6,8,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [6,5,4,3,7,8,2,1] => [6,1,1] => 0
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [6,5,3,4,7,8,2,1] => [3,6,5,4,7,8,2,1] => [5,1,1,1] => 0
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [6,4,3,5,7,8,2,1] => [4,6,3,5,7,8,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [6,3,4,5,7,8,2,1] => [3,4,6,5,7,8,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [5,4,3,6,7,8,2,1] => [5,1,1,1] => 0
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [5,3,4,6,7,8,2,1] => [3,5,4,6,7,8,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [4,3,5,6,7,8,2,1] => [4,1,1,1,1] => 0
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [3,4,5,6,7,8,2,1] => [3,1,1,1,1,1] => 0
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,2,3,1] => [2,8,7,6,5,4,3,1] => [7,1] => 0
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,2,3,1] => [2,7,8,6,5,4,3,1] => [6,1,1] => 0
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,2,3,1] => [2,6,8,7,5,4,3,1] => [6,1,1] => 0
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,2,3,1] => [2,7,6,8,5,4,3,1] => [6,1,1] => 0
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,2,3,1] => [2,5,8,7,6,4,3,1] => [6,1,1] => 0
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,2,3,1] => [2,6,8,5,7,4,3,1] => [5,1,1,1] => 0
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,2,3,1] => [2,6,7,5,8,4,3,1] => [5,1,1,1] => 0
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,2,3,1] => [2,6,5,7,8,4,3,1] => [5,1,1,1] => 0
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,2,3,1] => [2,5,6,7,8,4,3,1] => [4,1,1,1,1] => 0
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,2,3,1] => [2,4,8,7,6,5,3,1] => [6,1,1] => 0
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,2,3,1] => [2,4,7,8,6,5,3,1] => [5,1,1,1] => 0
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,2,3,1] => [2,4,6,8,7,5,3,1] => [5,1,1,1] => 0
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,2,3,1] => [2,4,6,7,8,5,3,1] => [4,1,1,1,1] => 0
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,2,3,1] => [2,5,8,7,4,6,3,1] => [5,1,1,1] => 0
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,2,3,1] => [2,4,5,7,8,6,3,1] => [4,1,1,1,1] => 0
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [8,6,5,4,7,2,3,1] => [2,6,8,5,4,7,3,1] => [5,1,1,1] => 0
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,2,3,1] => [2,4,6,8,5,7,3,1] => [4,1,1,1,1] => 0
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [8,4,5,6,7,2,3,1] => [2,4,5,6,8,7,3,1] => [4,1,1,1,1] => 0
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,2,3,1] => [2,7,6,5,4,8,3,1] => [6,1,1] => 0
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [6,7,5,4,8,2,3,1] => [2,6,7,5,4,8,3,1] => [5,1,1,1] => 0
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [5,6,7,4,8,2,3,1] => [2,5,6,7,4,8,3,1] => [4,1,1,1,1] => 0
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,2,3,1] => [2,4,7,6,5,8,3,1] => [5,1,1,1] => 0
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,2,3,1] => [2,4,6,7,5,8,3,1] => [4,1,1,1,1] => 0
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,2,3,1] => [2,5,7,4,6,8,3,1] => [4,1,1,1,1] => 0
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,2,3,1] => [2,6,5,4,7,8,3,1] => [5,1,1,1] => 0
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [5,6,4,7,8,2,3,1] => [2,5,6,4,7,8,3,1] => [4,1,1,1,1] => 0
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [6,4,5,7,8,2,3,1] => [2,4,6,5,7,8,3,1] => [4,1,1,1,1] => 0
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [5,4,6,7,8,2,3,1] => [2,5,4,6,7,8,3,1] => [4,1,1,1,1] => 0
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,2,3,1] => [2,4,5,6,7,8,3,1] => [3,1,1,1,1,1] => 0
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,2,4,1] => [3,8,7,6,5,2,4,1] => [6,1,1] => 0
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,2,4,1] => [3,7,8,6,5,2,4,1] => [5,1,1,1] => 0
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,2,4,1] => [3,6,8,7,5,2,4,1] => [5,1,1,1] => 0
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [7,6,8,5,3,2,4,1] => [3,7,6,8,5,2,4,1] => [5,1,1,1] => 0
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,2,4,1] => [3,6,7,8,5,2,4,1] => [4,1,1,1,1] => 0
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,2,4,1] => [3,5,7,8,6,2,4,1] => [4,1,1,1,1] => 0
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [8,6,5,7,3,2,4,1] => [3,6,8,5,7,2,4,1] => [4,1,1,1,1] => 0
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,2,4,1] => [3,5,6,8,7,2,4,1] => [4,1,1,1,1] => 0
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [7,6,5,8,3,2,4,1] => [3,7,6,5,8,2,4,1] => [5,1,1,1] => 0
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,2,4,1] => [3,6,7,5,8,2,4,1] => [4,1,1,1,1] => 0
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,2,4,1] => [3,5,7,6,8,2,4,1] => [4,1,1,1,1] => 0
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,2,4,1] => [3,6,5,7,8,2,4,1] => [4,1,1,1,1] => 0
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [5,6,7,8,3,2,4,1] => [3,5,6,7,8,2,4,1] => [3,1,1,1,1,1] => 0
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,2,3,4,1] => [2,3,8,7,6,5,4,1] => [6,1,1] => 0
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [6,7,8,5,2,3,4,1] => [2,3,6,7,8,5,4,1] => [4,1,1,1,1] => 0
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [7,8,5,6,2,3,4,1] => [2,3,5,7,8,6,4,1] => [4,1,1,1,1] => 0
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [8,5,6,7,2,3,4,1] => [2,3,5,6,8,7,4,1] => [4,1,1,1,1] => 0
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [7,6,5,8,2,3,4,1] => [2,3,7,6,5,8,4,1] => [5,1,1,1] => 0
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [5,6,7,8,2,3,4,1] => [2,3,5,6,7,8,4,1] => [3,1,1,1,1,1] => 0
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [8,7,6,4,3,2,5,1] => [4,8,7,6,3,2,5,1] => [6,1,1] => 0
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] => [7,6,8,4,3,2,5,1] => [4,7,6,8,3,2,5,1] => [5,1,1,1] => 0
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [8,7,6,3,4,2,5,1] => [3,4,8,7,6,2,5,1] => [5,1,1,1] => 0
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [7,8,6,3,4,2,5,1] => [3,4,7,8,6,2,5,1] => [4,1,1,1,1] => 0
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]] => [8,6,7,3,4,2,5,1] => [3,4,6,8,7,2,5,1] => [4,1,1,1,1] => 0
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]] => [7,6,8,3,4,2,5,1] => [3,4,7,6,8,2,5,1] => [4,1,1,1,1] => 0
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [6,7,8,3,4,2,5,1] => [3,4,6,7,8,2,5,1] => [3,1,1,1,1,1] => 0
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,2,3,5,1] => [2,4,8,7,6,3,5,1] => [5,1,1,1] => 0
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,2,3,5,1] => [2,4,6,8,7,3,5,1] => [4,1,1,1,1] => 0
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,2,3,5,1] => [2,4,7,6,8,3,5,1] => [4,1,1,1,1] => 0
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [6,7,8,4,2,3,5,1] => [2,4,6,7,8,3,5,1] => [3,1,1,1,1,1] => 0
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [7,8,6,3,2,4,5,1] => [3,2,7,8,6,4,5,1] => [4,2,1,1] => 1
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] => [8,6,7,3,2,4,5,1] => [3,2,6,8,7,4,5,1] => [4,2,1,1] => 1
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [6,7,8,3,2,4,5,1] => [3,2,6,7,8,4,5,1] => [3,2,1,1,1] => 1
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [8,7,6,2,3,4,5,1] => [2,3,4,8,7,6,5,1] => [5,1,1,1] => 0
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [8,6,7,2,3,4,5,1] => [2,3,4,6,8,7,5,1] => [4,1,1,1,1] => 0
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [7,6,8,2,3,4,5,1] => [2,3,4,7,6,8,5,1] => [4,1,1,1,1] => 0
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [6,7,8,2,3,4,5,1] => [2,3,4,6,7,8,5,1] => [3,1,1,1,1,1] => 0
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [7,8,5,4,3,2,6,1] => [5,7,8,4,3,2,6,1] => [5,1,1,1] => 0
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [7,8,5,3,4,2,6,1] => [3,5,7,8,4,2,6,1] => [4,1,1,1,1] => 0
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [8,7,4,3,5,2,6,1] => [4,3,8,7,5,2,6,1] => [5,2,1] => 1
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [7,8,3,4,5,2,6,1] => [3,4,5,7,8,2,6,1] => [3,1,1,1,1,1] => 0
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [8,7,5,4,2,3,6,1] => [2,5,8,7,4,3,6,1] => [5,1,1,1] => 0
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,2,3,6,1] => [2,5,7,8,4,3,6,1] => [4,1,1,1,1] => 0
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] => [8,7,5,3,2,4,6,1] => [3,5,8,7,2,4,6,1] => [4,1,1,1,1] => 0
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [7,8,5,2,3,4,6,1] => [2,3,5,7,8,4,6,1] => [3,1,1,1,1,1] => 0
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [8,7,4,3,2,5,6,1] => [4,3,8,7,2,5,6,1] => [4,2,1,1] => 1
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [7,8,4,2,3,5,6,1] => [2,4,3,7,8,5,6,1] => [3,2,1,1,1] => 1
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [7,8,3,2,4,5,6,1] => [3,2,4,7,8,5,6,1] => [3,2,1,1,1] => 1
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [2,3,4,5,8,7,6,1] => [4,1,1,1,1] => 0
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [2,3,4,5,7,8,6,1] => [3,1,1,1,1,1] => 0
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [6,8,5,4,3,2,7,1] => [6,1,1] => 0
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [8,5,6,4,3,2,7,1] => [5,6,8,4,3,2,7,1] => [5,1,1,1] => 0
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [8,6,4,5,3,2,7,1] => [4,6,8,5,3,2,7,1] => [5,1,1,1] => 0
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [8,6,5,3,4,2,7,1] => [3,6,8,5,4,2,7,1] => [5,1,1,1] => 0
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [8,6,4,3,5,2,7,1] => [4,6,8,3,5,2,7,1] => [4,1,1,1,1] => 0
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]] => [8,6,3,4,5,2,7,1] => [3,4,6,8,5,2,7,1] => [4,1,1,1,1] => 0
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [8,5,4,3,6,2,7,1] => [5,4,8,3,6,2,7,1] => [5,1,1,1] => 0
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [8,4,5,3,6,2,7,1] => [4,5,3,8,6,2,7,1] => [4,2,1,1] => 1
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [8,5,3,4,6,2,7,1] => [3,5,4,8,6,2,7,1] => [4,2,1,1] => 1
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [8,3,4,5,6,2,7,1] => [3,4,5,6,8,2,7,1] => [3,1,1,1,1,1] => 0
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,2,3,7,1] => [2,6,8,5,4,3,7,1] => [5,1,1,1] => 0
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] => [8,5,6,4,2,3,7,1] => [2,5,6,8,4,3,7,1] => [4,1,1,1,1] => 0
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [8,6,4,5,2,3,7,1] => [2,4,6,8,5,3,7,1] => [4,1,1,1,1] => 0
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,2,3,7,1] => [2,5,4,8,6,3,7,1] => [4,2,1,1] => 1
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [8,6,5,3,2,4,7,1] => [3,6,8,5,2,4,7,1] => [4,1,1,1,1] => 0
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [8,6,4,3,2,5,7,1] => [4,6,8,3,2,5,7,1] => [4,1,1,1,1] => 0
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [8,6,3,4,2,5,7,1] => [3,4,6,8,2,5,7,1] => [3,1,1,1,1,1] => 0
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [8,6,4,2,3,5,7,1] => [2,4,6,8,3,5,7,1] => [3,1,1,1,1,1] => 0
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [8,6,2,3,4,5,7,1] => [2,3,4,6,8,5,7,1] => [3,1,1,1,1,1] => 0
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [8,5,4,3,2,6,7,1] => [5,4,8,3,2,6,7,1] => [5,1,1,1] => 0
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [8,5,3,4,2,6,7,1] => [3,5,4,8,2,6,7,1] => [4,1,1,1,1] => 0
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [8,5,4,2,3,6,7,1] => [2,5,4,8,3,6,7,1] => [4,1,1,1,1] => 0
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [8,4,5,2,3,6,7,1] => [2,4,5,3,8,6,7,1] => [3,2,1,1,1] => 1
[.,[[[[[.,.],.],[.,.]],.],[.,.]]] => [8,5,2,3,4,6,7,1] => [2,3,5,4,8,6,7,1] => [3,2,1,1,1] => 1
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [8,4,3,2,5,6,7,1] => [4,3,2,8,5,6,7,1] => [4,2,1,1] => 1
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [8,3,4,2,5,6,7,1] => [3,4,2,5,8,6,7,1] => [3,2,1,1,1] => 1
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [8,4,2,3,5,6,7,1] => [2,4,3,5,8,6,7,1] => [3,2,1,1,1] => 1
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [8,3,2,4,5,6,7,1] => [3,2,4,5,8,6,7,1] => [3,2,1,1,1] => 1
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,8,7,1] => [3,1,1,1,1,1] => 0
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [7,6,5,4,3,2,8,1] => [7,1] => 0
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [6,7,5,4,3,2,8,1] => [6,1,1] => 0
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [7,5,6,4,3,2,8,1] => [5,7,6,4,3,2,8,1] => [6,1,1] => 0
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [6,5,7,4,3,2,8,1] => [6,1,1] => 0
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [7,6,4,5,3,2,8,1] => [4,7,6,5,3,2,8,1] => [6,1,1] => 0
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [6,7,4,5,3,2,8,1] => [4,6,7,5,3,2,8,1] => [5,1,1,1] => 0
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [6,4,5,7,3,2,8,1] => [4,6,5,7,3,2,8,1] => [5,1,1,1] => 0
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [4,5,6,7,3,2,8,1] => [4,1,1,1,1] => 0
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [7,5,6,3,4,2,8,1] => [3,5,7,6,4,2,8,1] => [5,1,1,1] => 0
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [5,6,7,3,4,2,8,1] => [3,5,6,7,4,2,8,1] => [4,1,1,1,1] => 0
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [7,6,4,3,5,2,8,1] => [4,7,6,3,5,2,8,1] => [5,1,1,1] => 0
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [7,6,3,4,5,2,8,1] => [3,4,7,6,5,2,8,1] => [5,1,1,1] => 0
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [7,5,4,3,6,2,8,1] => [5,7,4,3,6,2,8,1] => [5,1,1,1] => 0
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [7,4,5,3,6,2,8,1] => [4,5,7,3,6,2,8,1] => [4,1,1,1,1] => 0
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [7,5,3,4,6,2,8,1] => [3,5,7,4,6,2,8,1] => [4,1,1,1,1] => 0
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [7,3,4,5,6,2,8,1] => [3,4,5,7,6,2,8,1] => [4,1,1,1,1] => 0
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [6,5,4,3,7,2,8,1] => [6,1,1] => 0
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [6,4,5,3,7,2,8,1] => [4,6,5,3,7,2,8,1] => [5,1,1,1] => 0
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [5,4,6,3,7,2,8,1] => [5,1,1,1] => 0
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [4,5,6,3,7,2,8,1] => [4,1,1,1,1] => 0
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [6,5,3,4,7,2,8,1] => [3,6,5,4,7,2,8,1] => [5,1,1,1] => 0
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [5,6,3,4,7,2,8,1] => [3,5,6,4,7,2,8,1] => [4,1,1,1,1] => 0
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [6,4,3,5,7,2,8,1] => [4,6,3,5,7,2,8,1] => [4,1,1,1,1] => 0
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [6,3,4,5,7,2,8,1] => [3,4,6,5,7,2,8,1] => [4,1,1,1,1] => 0
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [5,4,3,6,7,2,8,1] => [5,1,1,1] => 0
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [4,5,3,6,7,2,8,1] => [4,1,1,1,1] => 0
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [5,3,4,6,7,2,8,1] => [3,5,4,6,7,2,8,1] => [4,1,1,1,1] => 0
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [3,4,5,6,7,2,8,1] => [3,1,1,1,1,1] => 0
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,2,3,8,1] => [2,7,6,5,4,3,8,1] => [6,1,1] => 0
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,2,3,8,1] => [2,6,5,7,4,3,8,1] => [5,1,1,1] => 0
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [5,6,7,4,2,3,8,1] => [2,5,6,7,4,3,8,1] => [4,1,1,1,1] => 0
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [6,7,4,5,2,3,8,1] => [2,4,6,7,5,3,8,1] => [4,1,1,1,1] => 0
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [7,5,4,6,2,3,8,1] => [2,5,7,4,6,3,8,1] => [4,1,1,1,1] => 0
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [6,4,5,7,2,3,8,1] => [2,4,6,5,7,3,8,1] => [4,1,1,1,1] => 0
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [5,4,6,7,2,3,8,1] => [2,5,4,6,7,3,8,1] => [4,1,1,1,1] => 0
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [4,5,6,7,2,3,8,1] => [2,4,5,6,7,3,8,1] => [3,1,1,1,1,1] => 0
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [7,6,5,3,2,4,8,1] => [3,7,6,5,2,4,8,1] => [5,1,1,1] => 0
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [6,7,5,3,2,4,8,1] => [3,6,7,5,2,4,8,1] => [4,1,1,1,1] => 0
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [7,5,6,3,2,4,8,1] => [3,5,7,6,2,4,8,1] => [4,1,1,1,1] => 0
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [7,6,5,2,3,4,8,1] => [2,3,7,6,5,4,8,1] => [5,1,1,1] => 0
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [7,5,6,2,3,4,8,1] => [2,3,5,7,6,4,8,1] => [4,1,1,1,1] => 0
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [5,6,7,2,3,4,8,1] => [2,3,5,6,7,4,8,1] => [3,1,1,1,1,1] => 0
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [6,7,4,3,2,5,8,1] => [4,6,7,3,2,5,8,1] => [4,1,1,1,1] => 0
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [7,6,3,4,2,5,8,1] => [3,4,7,6,2,5,8,1] => [4,1,1,1,1] => 0
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [7,6,3,2,4,5,8,1] => [3,2,7,6,4,5,8,1] => [4,2,1,1] => 1
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [7,6,2,3,4,5,8,1] => [2,3,4,7,6,5,8,1] => [4,1,1,1,1] => 0
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [2,3,4,6,7,5,8,1] => [3,1,1,1,1,1] => 0
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [7,4,5,3,2,6,8,1] => [4,5,7,3,2,6,8,1] => [4,1,1,1,1] => 0
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [7,5,3,4,2,6,8,1] => [3,5,7,4,2,6,8,1] => [4,1,1,1,1] => 0
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [7,3,4,5,2,6,8,1] => [3,4,5,7,2,6,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [7,4,5,2,3,6,8,1] => [2,4,5,7,3,6,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [7,5,3,2,4,6,8,1] => [3,5,7,2,4,6,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [7,5,2,3,4,6,8,1] => [2,3,5,7,4,6,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [7,4,3,2,5,6,8,1] => [4,3,7,2,5,6,8,1] => [4,1,1,1,1] => 0
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [7,4,2,3,5,6,8,1] => [2,4,3,7,5,6,8,1] => [3,2,1,1,1] => 1
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [7,3,2,4,5,6,8,1] => [3,2,4,7,5,6,8,1] => [3,2,1,1,1] => 1
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [7,2,3,4,5,6,8,1] => [2,3,4,5,7,6,8,1] => [3,1,1,1,1,1] => 0
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [6,5,4,3,2,7,8,1] => [6,1,1] => 0
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [5,4,6,3,2,7,8,1] => [5,1,1,1] => 0
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [4,5,6,3,2,7,8,1] => [4,1,1,1,1] => 0
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [6,5,3,4,2,7,8,1] => [3,6,5,4,2,7,8,1] => [5,1,1,1] => 0
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [5,6,3,4,2,7,8,1] => [3,5,6,4,2,7,8,1] => [4,1,1,1,1] => 0
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [6,3,4,5,2,7,8,1] => [3,4,6,5,2,7,8,1] => [4,1,1,1,1] => 0
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [5,4,3,6,2,7,8,1] => [5,1,1,1] => 0
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [5,3,4,6,2,7,8,1] => [3,5,4,6,2,7,8,1] => [4,1,1,1,1] => 0
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [4,3,5,6,2,7,8,1] => [4,1,1,1,1] => 0
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [3,4,5,6,2,7,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [6,5,4,2,3,7,8,1] => [2,6,5,4,3,7,8,1] => [5,1,1,1] => 0
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [5,6,4,2,3,7,8,1] => [2,5,6,4,3,7,8,1] => [4,1,1,1,1] => 0
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [6,4,5,2,3,7,8,1] => [2,4,6,5,3,7,8,1] => [4,1,1,1,1] => 0
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [5,4,6,2,3,7,8,1] => [2,5,4,6,3,7,8,1] => [4,1,1,1,1] => 0
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [4,5,6,2,3,7,8,1] => [2,4,5,6,3,7,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]] => [6,5,3,2,4,7,8,1] => [3,6,5,2,4,7,8,1] => [4,1,1,1,1] => 0
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [6,5,2,3,4,7,8,1] => [2,3,6,5,4,7,8,1] => [4,1,1,1,1] => 0
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [5,6,2,3,4,7,8,1] => [2,3,5,6,4,7,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [6,4,2,3,5,7,8,1] => [2,4,6,3,5,7,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [6,2,3,4,5,7,8,1] => [2,3,4,6,5,7,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [5,4,3,2,6,7,8,1] => [5,1,1,1] => 0
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [4,5,3,2,6,7,8,1] => [4,1,1,1,1] => 0
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [5,3,4,2,6,7,8,1] => [3,5,4,2,6,7,8,1] => [4,1,1,1,1] => 0
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [4,3,5,2,6,7,8,1] => [4,1,1,1,1] => 0
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [3,4,5,2,6,7,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [4,5,2,3,6,7,8,1] => [2,4,5,3,6,7,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [5,3,2,4,6,7,8,1] => [3,5,2,4,6,7,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [5,2,3,4,6,7,8,1] => [2,3,5,4,6,7,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [4,3,2,5,6,7,8,1] => [4,1,1,1,1] => 0
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [3,4,2,5,6,7,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [2,4,3,5,6,7,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [3,2,4,5,6,7,8,1] => [3,1,1,1,1,1] => 0
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,1] => [2,1,1,1,1,1,1] => 0
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [8,7,6,5,4,3,1,2] => [1,8,7,6,5,4,3,2] => [7,1] => 0
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [7,8,6,5,4,3,1,2] => [1,7,8,6,5,4,3,2] => [6,1,1] => 0
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [8,6,7,5,4,3,1,2] => [1,6,8,7,5,4,3,2] => [6,1,1] => 0
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [7,6,8,5,4,3,1,2] => [1,7,6,8,5,4,3,2] => [6,1,1] => 0
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [6,7,8,5,4,3,1,2] => [1,6,7,8,5,4,3,2] => [5,1,1,1] => 0
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [8,7,5,6,4,3,1,2] => [1,5,8,7,6,4,3,2] => [6,1,1] => 0
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [8,6,5,7,4,3,1,2] => [1,6,8,5,7,4,3,2] => [5,1,1,1] => 0
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [7,6,5,8,4,3,1,2] => [1,7,6,5,8,4,3,2] => [6,1,1] => 0
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [6,7,5,8,4,3,1,2] => [1,6,7,5,8,4,3,2] => [5,1,1,1] => 0
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [7,5,6,8,4,3,1,2] => [1,5,7,6,8,4,3,2] => [5,1,1,1] => 0
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [6,5,7,8,4,3,1,2] => [1,6,5,7,8,4,3,2] => [5,1,1,1] => 0
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [5,6,7,8,4,3,1,2] => [1,5,6,7,8,4,3,2] => [4,1,1,1,1] => 0
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [8,7,6,4,5,3,1,2] => [1,4,8,7,6,5,3,2] => [6,1,1] => 0
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [7,8,6,4,5,3,1,2] => [1,4,7,8,6,5,3,2] => [5,1,1,1] => 0
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [8,6,7,4,5,3,1,2] => [1,4,6,8,7,5,3,2] => [5,1,1,1] => 0
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [6,7,8,4,5,3,1,2] => [1,4,6,7,8,5,3,2] => [4,1,1,1,1] => 0
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [8,7,5,4,6,3,1,2] => [1,5,8,7,4,6,3,2] => [5,1,1,1] => 0
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [8,7,4,5,6,3,1,2] => [1,4,5,8,7,6,3,2] => [5,1,1,1] => 0
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [7,8,4,5,6,3,1,2] => [1,4,5,7,8,6,3,2] => [4,1,1,1,1] => 0
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]] => [8,5,6,4,7,3,1,2] => [1,5,6,8,4,7,3,2] => [4,1,1,1,1] => 0
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [8,6,4,5,7,3,1,2] => [1,4,6,8,5,7,3,2] => [4,1,1,1,1] => 0
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [7,6,5,4,8,3,1,2] => [1,7,6,5,4,8,3,2] => [6,1,1] => 0
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [7,6,4,5,8,3,1,2] => [1,4,7,6,5,8,3,2] => [5,1,1,1] => 0
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [6,7,4,5,8,3,1,2] => [1,4,6,7,5,8,3,2] => [4,1,1,1,1] => 0
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [7,5,4,6,8,3,1,2] => [1,5,7,4,6,8,3,2] => [4,1,1,1,1] => 0
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [6,5,4,7,8,3,1,2] => [1,6,5,4,7,8,3,2] => [5,1,1,1] => 0
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [4,5,6,7,8,3,1,2] => [1,4,5,6,7,8,3,2] => [3,1,1,1,1,1] => 0
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [8,7,6,5,3,4,1,2] => [1,3,8,7,6,5,4,2] => [6,1,1] => 0
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [7,8,6,5,3,4,1,2] => [1,3,7,8,6,5,4,2] => [5,1,1,1] => 0
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [8,6,7,5,3,4,1,2] => [1,3,6,8,7,5,4,2] => [5,1,1,1] => 0
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [6,7,8,5,3,4,1,2] => [1,3,6,7,8,5,4,2] => [4,1,1,1,1] => 0
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [8,7,5,6,3,4,1,2] => [1,3,5,8,7,6,4,2] => [5,1,1,1] => 0
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [7,8,5,6,3,4,1,2] => [1,3,5,7,8,6,4,2] => [4,1,1,1,1] => 0
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [8,5,6,7,3,4,1,2] => [1,3,5,6,8,7,4,2] => [4,1,1,1,1] => 0
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [6,7,5,8,3,4,1,2] => [1,3,6,7,5,8,4,2] => [4,1,1,1,1] => 0
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [7,5,6,8,3,4,1,2] => [1,3,5,7,6,8,4,2] => [4,1,1,1,1] => 0
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [6,5,7,8,3,4,1,2] => [1,3,6,5,7,8,4,2] => [4,1,1,1,1] => 0
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [5,6,7,8,3,4,1,2] => [1,3,5,6,7,8,4,2] => [3,1,1,1,1,1] => 0
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [8,7,6,4,3,5,1,2] => [1,4,8,7,6,3,5,2] => [5,1,1,1] => 0
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [7,8,6,4,3,5,1,2] => [1,4,7,8,6,3,5,2] => [4,1,1,1,1] => 0
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [8,6,7,4,3,5,1,2] => [1,4,6,8,7,3,5,2] => [4,1,1,1,1] => 0
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [7,6,8,4,3,5,1,2] => [1,4,7,6,8,3,5,2] => [4,1,1,1,1] => 0
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [6,7,8,4,3,5,1,2] => [1,4,6,7,8,3,5,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [8,7,6,3,4,5,1,2] => [1,3,4,8,7,6,5,2] => [5,1,1,1] => 0
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [6,7,8,3,4,5,1,2] => [1,3,4,6,7,8,5,2] => [3,1,1,1,1,1] => 0
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [7,8,5,4,3,6,1,2] => [1,5,7,8,4,3,6,2] => [4,1,1,1,1] => 0
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [8,7,4,5,3,6,1,2] => [1,4,5,8,7,3,6,2] => [4,1,1,1,1] => 0
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [7,8,4,5,3,6,1,2] => [1,4,5,7,8,3,6,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [7,8,5,3,4,6,1,2] => [1,3,5,7,8,4,6,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [8,7,4,3,5,6,1,2] => [1,4,3,8,7,5,6,2] => [4,2,1,1] => 1
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [7,8,4,3,5,6,1,2] => [1,4,3,7,8,5,6,2] => [3,2,1,1,1] => 1
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [8,7,3,4,5,6,1,2] => [1,3,4,5,8,7,6,2] => [4,1,1,1,1] => 0
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [7,8,3,4,5,6,1,2] => [1,3,4,5,7,8,6,2] => [3,1,1,1,1,1] => 0
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [8,6,5,4,3,7,1,2] => [1,6,8,5,4,3,7,2] => [5,1,1,1] => 0
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [8,5,4,6,3,7,1,2] => [1,5,4,8,6,3,7,2] => [4,2,1,1] => 1
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [8,5,6,3,4,7,1,2] => [1,3,5,6,8,4,7,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [8,6,4,3,5,7,1,2] => [1,4,6,8,3,5,7,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [8,4,3,5,6,7,1,2] => [1,4,3,5,8,6,7,2] => [3,2,1,1,1] => 1
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => [1,3,4,5,6,8,7,2] => [3,1,1,1,1,1] => 0
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [7,6,5,4,3,8,1,2] => [1,7,6,5,4,3,8,2] => [6,1,1] => 0
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [6,7,5,4,3,8,1,2] => [1,6,7,5,4,3,8,2] => [5,1,1,1] => 0
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [6,5,7,4,3,8,1,2] => [1,6,5,7,4,3,8,2] => [5,1,1,1] => 0
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [6,7,4,5,3,8,1,2] => [1,4,6,7,5,3,8,2] => [4,1,1,1,1] => 0
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [5,6,4,7,3,8,1,2] => [1,5,6,4,7,3,8,2] => [4,1,1,1,1] => 0
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [6,4,5,7,3,8,1,2] => [1,4,6,5,7,3,8,2] => [4,1,1,1,1] => 0
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [5,4,6,7,3,8,1,2] => [1,5,4,6,7,3,8,2] => [4,1,1,1,1] => 0
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [4,5,6,7,3,8,1,2] => [1,4,5,6,7,3,8,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [7,5,6,3,4,8,1,2] => [1,3,5,7,6,4,8,2] => [4,1,1,1,1] => 0
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [6,5,7,3,4,8,1,2] => [1,3,6,5,7,4,8,2] => [4,1,1,1,1] => 0
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [5,6,7,3,4,8,1,2] => [1,3,5,6,7,4,8,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [6,7,4,3,5,8,1,2] => [1,4,6,7,3,5,8,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [7,6,3,4,5,8,1,2] => [1,3,4,7,6,5,8,2] => [4,1,1,1,1] => 0
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [6,7,3,4,5,8,1,2] => [1,3,4,6,7,5,8,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[.,[[.,.],.]],[.,.]],.]] => [7,4,5,3,6,8,1,2] => [1,4,5,7,3,6,8,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [7,5,3,4,6,8,1,2] => [1,3,5,7,4,6,8,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [7,3,4,5,6,8,1,2] => [1,3,4,5,7,6,8,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [6,5,4,3,7,8,1,2] => [1,6,5,4,3,7,8,2] => [5,1,1,1] => 0
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [5,4,6,3,7,8,1,2] => [1,5,4,6,3,7,8,2] => [4,1,1,1,1] => 0
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [5,6,3,4,7,8,1,2] => [1,3,5,6,4,7,8,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [1,4,6,3,5,7,8,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [6,3,4,5,7,8,1,2] => [1,3,4,6,5,7,8,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [5,4,3,6,7,8,1,2] => [1,5,4,3,6,7,8,2] => [4,1,1,1,1] => 0
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [4,5,3,6,7,8,1,2] => [1,4,5,3,6,7,8,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [5,3,4,6,7,8,1,2] => [1,3,5,4,6,7,8,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [4,3,5,6,7,8,1,2] => [1,4,3,5,6,7,8,2] => [3,1,1,1,1,1] => 0
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [3,4,5,6,7,8,1,2] => [1,3,4,5,6,7,8,2] => [2,1,1,1,1,1,1] => 0
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,2,1,3] => [2,8,7,6,5,4,1,3] => [6,1,1] => 0
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,2,1,3] => [2,7,8,6,5,4,1,3] => [5,1,1,1] => 0
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [8,6,7,5,4,2,1,3] => [2,6,8,7,5,4,1,3] => [5,1,1,1] => 0
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [7,6,8,5,4,2,1,3] => [2,7,6,8,5,4,1,3] => [5,1,1,1] => 0
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [7,8,5,6,4,2,1,3] => [2,5,7,8,6,4,1,3] => [4,1,1,1,1] => 0
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,2,1,3] => [2,6,8,5,7,4,1,3] => [4,1,1,1,1] => 0
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,2,1,3] => [2,7,6,5,8,4,1,3] => [5,1,1,1] => 0
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,2,1,3] => [2,6,5,7,8,4,1,3] => [4,1,1,1,1] => 0
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,2,1,3] => [2,5,6,7,8,4,1,3] => [3,1,1,1,1,1] => 0
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,2,1,3] => [2,4,8,7,6,5,1,3] => [5,1,1,1] => 0
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [7,8,6,4,5,2,1,3] => [2,4,7,8,6,5,1,3] => [4,1,1,1,1] => 0
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,2,1,3] => [2,4,6,8,7,5,1,3] => [4,1,1,1,1] => 0
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [7,6,8,4,5,2,1,3] => [2,4,7,6,8,5,1,3] => [4,1,1,1,1] => 0
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,2,1,3] => [2,4,6,7,8,5,1,3] => [3,1,1,1,1,1] => 0
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,2,1,3] => [2,5,8,7,4,6,1,3] => [4,1,1,1,1] => 0
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,2,1,3] => [2,5,7,8,4,6,1,3] => [3,1,1,1,1,1] => 0
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,2,1,3] => [2,4,5,8,7,6,1,3] => [4,1,1,1,1] => 0
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,2,1,3] => [2,4,6,8,5,7,1,3] => [3,1,1,1,1,1] => 0
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,2,1,3] => [2,4,5,6,8,7,1,3] => [3,1,1,1,1,1] => 0
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,2,1,3] => [2,7,6,5,4,8,1,3] => [5,1,1,1] => 0
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [6,7,5,4,8,2,1,3] => [2,6,7,5,4,8,1,3] => [4,1,1,1,1] => 0
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,2,1,3] => [2,4,7,6,5,8,1,3] => [4,1,1,1,1] => 0
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [6,7,4,5,8,2,1,3] => [2,4,6,7,5,8,1,3] => [3,1,1,1,1,1] => 0
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,2,1,3] => [2,5,7,4,6,8,1,3] => [3,1,1,1,1,1] => 0
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,2,1,3] => [2,4,5,6,7,8,1,3] => [2,1,1,1,1,1,1] => 0
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [1,2,8,7,6,5,4,3] => [6,1,1] => 0
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [1,2,7,8,6,5,4,3] => [5,1,1,1] => 0
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [6,7,8,5,4,1,2,3] => [1,2,6,7,8,5,4,3] => [4,1,1,1,1] => 0
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [8,6,5,7,4,1,2,3] => [1,2,6,8,5,7,4,3] => [4,1,1,1,1] => 0
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [8,5,6,7,4,1,2,3] => [1,2,5,6,8,7,4,3] => [4,1,1,1,1] => 0
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [7,6,5,8,4,1,2,3] => [1,2,7,6,5,8,4,3] => [5,1,1,1] => 0
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [7,5,6,8,4,1,2,3] => [1,2,5,7,6,8,4,3] => [4,1,1,1,1] => 0
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [6,5,7,8,4,1,2,3] => [1,2,6,5,7,8,4,3] => [4,1,1,1,1] => 0
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [5,6,7,8,4,1,2,3] => [1,2,5,6,7,8,4,3] => [3,1,1,1,1,1] => 0
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [8,7,6,4,5,1,2,3] => [1,2,4,8,7,6,5,3] => [5,1,1,1] => 0
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [8,6,7,4,5,1,2,3] => [1,2,4,6,8,7,5,3] => [4,1,1,1,1] => 0
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [6,7,8,4,5,1,2,3] => [1,2,4,6,7,8,5,3] => [3,1,1,1,1,1] => 0
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [8,7,5,4,6,1,2,3] => [1,2,5,8,7,4,6,3] => [4,1,1,1,1] => 0
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [7,8,5,4,6,1,2,3] => [1,2,5,7,8,4,6,3] => [3,1,1,1,1,1] => 0
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [8,7,4,5,6,1,2,3] => [1,2,4,5,8,7,6,3] => [4,1,1,1,1] => 0
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [7,8,4,5,6,1,2,3] => [1,2,4,5,7,8,6,3] => [3,1,1,1,1,1] => 0
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [8,6,5,4,7,1,2,3] => [1,2,6,8,5,4,7,3] => [4,1,1,1,1] => 0
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [8,5,6,4,7,1,2,3] => [1,2,5,6,8,4,7,3] => [3,1,1,1,1,1] => 0
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [8,6,4,5,7,1,2,3] => [1,2,4,6,8,5,7,3] => [3,1,1,1,1,1] => 0
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [8,5,4,6,7,1,2,3] => [1,2,5,4,8,6,7,3] => [3,2,1,1,1] => 1
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [8,4,5,6,7,1,2,3] => [1,2,4,5,6,8,7,3] => [3,1,1,1,1,1] => 0
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [7,6,5,4,8,1,2,3] => [1,2,7,6,5,4,8,3] => [5,1,1,1] => 0
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [5,6,7,4,8,1,2,3] => [1,2,5,6,7,4,8,3] => [3,1,1,1,1,1] => 0
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [7,6,4,5,8,1,2,3] => [1,2,4,7,6,5,8,3] => [4,1,1,1,1] => 0
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [7,5,4,6,8,1,2,3] => [1,2,5,7,4,6,8,3] => [3,1,1,1,1,1] => 0
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [6,5,4,7,8,1,2,3] => [1,2,6,5,4,7,8,3] => [4,1,1,1,1] => 0
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [5,4,6,7,8,1,2,3] => [1,2,5,4,6,7,8,3] => [3,1,1,1,1,1] => 0
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [4,5,6,7,8,1,2,3] => [1,2,4,5,6,7,8,3] => [2,1,1,1,1,1,1] => 0
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,2,1,4] => [3,8,7,6,5,2,1,4] => [6,1,1] => 0
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [7,8,6,5,3,2,1,4] => [3,7,8,6,5,2,1,4] => [5,1,1,1] => 0
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,2,1,4] => [3,6,8,7,5,2,1,4] => [5,1,1,1] => 0
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,2,1,4] => [3,7,6,8,5,2,1,4] => [5,1,1,1] => 0
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [6,7,8,5,3,2,1,4] => [3,6,7,8,5,2,1,4] => [4,1,1,1,1] => 0
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,2,1,4] => [3,5,7,8,6,2,1,4] => [4,1,1,1,1] => 0
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,2,1,4] => [3,6,8,5,7,2,1,4] => [4,1,1,1,1] => 0
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,2,1,4] => [3,5,6,8,7,2,1,4] => [4,1,1,1,1] => 0
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,2,1,4] => [3,7,6,5,8,2,1,4] => [5,1,1,1] => 0
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,2,1,4] => [3,6,7,5,8,2,1,4] => [4,1,1,1,1] => 0
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,2,1,4] => [3,5,7,6,8,2,1,4] => [4,1,1,1,1] => 0
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,2,1,4] => [3,6,5,7,8,2,1,4] => [4,1,1,1,1] => 0
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [5,6,7,8,3,2,1,4] => [3,5,6,7,8,2,1,4] => [3,1,1,1,1,1] => 0
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,3,1,4] => [2,3,8,7,6,5,1,4] => [5,1,1,1] => 0
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,3,1,4] => [2,3,6,8,7,5,1,4] => [4,1,1,1,1] => 0
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,3,1,4] => [2,3,7,6,8,5,1,4] => [4,1,1,1,1] => 0
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [6,7,8,5,2,3,1,4] => [2,3,6,7,8,5,1,4] => [3,1,1,1,1,1] => 0
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,3,1,4] => [2,3,7,6,5,8,1,4] => [4,1,1,1,1] => 0
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [6,7,5,8,2,3,1,4] => [2,3,6,7,5,8,1,4] => [3,1,1,1,1,1] => 0
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [7,5,6,8,2,3,1,4] => [2,3,5,7,6,8,1,4] => [3,1,1,1,1,1] => 0
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [6,5,7,8,2,3,1,4] => [2,3,6,5,7,8,1,4] => [3,1,1,1,1,1] => 0
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [5,6,7,8,2,3,1,4] => [2,3,5,6,7,8,1,4] => [2,1,1,1,1,1,1] => 0
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [8,7,6,5,3,1,2,4] => [1,3,8,7,6,5,2,4] => [5,1,1,1] => 0
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [8,6,7,5,3,1,2,4] => [1,3,6,8,7,5,2,4] => [4,1,1,1,1] => 0
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [7,6,8,5,3,1,2,4] => [1,3,7,6,8,5,2,4] => [4,1,1,1,1] => 0
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [8,7,5,6,3,1,2,4] => [1,3,5,8,7,6,2,4] => [4,1,1,1,1] => 0
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [7,8,5,6,3,1,2,4] => [1,3,5,7,8,6,2,4] => [3,1,1,1,1,1] => 0
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [8,6,5,7,3,1,2,4] => [1,3,6,8,5,7,2,4] => [3,1,1,1,1,1] => 0
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [8,5,6,7,3,1,2,4] => [1,3,5,6,8,7,2,4] => [3,1,1,1,1,1] => 0
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [7,6,5,8,3,1,2,4] => [1,3,7,6,5,8,2,4] => [4,1,1,1,1] => 0
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [6,7,5,8,3,1,2,4] => [1,3,6,7,5,8,2,4] => [3,1,1,1,1,1] => 0
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [7,5,6,8,3,1,2,4] => [1,3,5,7,6,8,2,4] => [3,1,1,1,1,1] => 0
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [6,5,7,8,3,1,2,4] => [1,3,6,5,7,8,2,4] => [3,1,1,1,1,1] => 0
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [5,6,7,8,3,1,2,4] => [1,3,5,6,7,8,2,4] => [2,1,1,1,1,1,1] => 0
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,2,1,3,4] => [2,1,8,7,6,5,3,4] => [5,2,1] => 1
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,2,1,3,4] => [2,1,7,8,6,5,3,4] => [4,2,1,1] => 1
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,2,1,3,4] => [2,1,6,8,7,5,3,4] => [4,2,1,1] => 1
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,2,1,3,4] => [2,1,7,6,8,5,3,4] => [4,2,1,1] => 1
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [6,7,8,5,2,1,3,4] => [2,1,6,7,8,5,3,4] => [3,2,1,1,1] => 1
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,2,1,3,4] => [2,1,5,8,7,6,3,4] => [4,2,1,1] => 1
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [7,8,5,6,2,1,3,4] => [2,1,5,7,8,6,3,4] => [3,2,1,1,1] => 1
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,2,1,3,4] => [2,1,6,8,5,7,3,4] => [3,2,1,1,1] => 1
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [8,5,6,7,2,1,3,4] => [2,1,5,6,8,7,3,4] => [3,2,1,1,1] => 1
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,2,1,3,4] => [2,1,7,6,5,8,3,4] => [4,2,1,1] => 1
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [6,7,5,8,2,1,3,4] => [2,1,6,7,5,8,3,4] => [3,2,1,1,1] => 1
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [6,5,7,8,2,1,3,4] => [2,1,6,5,7,8,3,4] => [3,2,1,1,1] => 1
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [5,6,7,8,2,1,3,4] => [2,1,5,6,7,8,3,4] => [2,2,1,1,1,1] => 1
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [8,7,6,5,1,2,3,4] => [1,2,3,8,7,6,5,4] => [5,1,1,1] => 0
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [7,8,6,5,1,2,3,4] => [1,2,3,7,8,6,5,4] => [4,1,1,1,1] => 0
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [8,6,7,5,1,2,3,4] => [1,2,3,6,8,7,5,4] => [4,1,1,1,1] => 0
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [7,6,8,5,1,2,3,4] => [1,2,3,7,6,8,5,4] => [4,1,1,1,1] => 0
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [6,7,8,5,1,2,3,4] => [1,2,3,6,7,8,5,4] => [3,1,1,1,1,1] => 0
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [8,7,5,6,1,2,3,4] => [1,2,3,5,8,7,6,4] => [4,1,1,1,1] => 0
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [7,8,5,6,1,2,3,4] => [1,2,3,5,7,8,6,4] => [3,1,1,1,1,1] => 0
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [8,6,5,7,1,2,3,4] => [1,2,3,6,8,5,7,4] => [3,1,1,1,1,1] => 0
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [8,5,6,7,1,2,3,4] => [1,2,3,5,6,8,7,4] => [3,1,1,1,1,1] => 0
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [7,6,5,8,1,2,3,4] => [1,2,3,7,6,5,8,4] => [4,1,1,1,1] => 0
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [6,7,5,8,1,2,3,4] => [1,2,3,6,7,5,8,4] => [3,1,1,1,1,1] => 0
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [7,5,6,8,1,2,3,4] => [1,2,3,5,7,6,8,4] => [3,1,1,1,1,1] => 0
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [6,5,7,8,1,2,3,4] => [1,2,3,6,5,7,8,4] => [3,1,1,1,1,1] => 0
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [5,6,7,8,1,2,3,4] => [1,2,3,5,6,7,8,4] => [2,1,1,1,1,1,1] => 0
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [8,7,6,4,3,2,1,5] => [4,8,7,6,3,2,1,5] => [6,1,1] => 0
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [7,8,6,4,3,2,1,5] => [4,7,8,6,3,2,1,5] => [5,1,1,1] => 0
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [8,6,7,4,3,2,1,5] => [4,6,8,7,3,2,1,5] => [5,1,1,1] => 0
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [7,6,8,4,3,2,1,5] => [4,7,6,8,3,2,1,5] => [5,1,1,1] => 0
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [6,7,8,4,3,2,1,5] => [4,6,7,8,3,2,1,5] => [4,1,1,1,1] => 0
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [8,7,6,3,4,2,1,5] => [3,4,8,7,6,2,1,5] => [5,1,1,1] => 0
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [7,8,6,3,4,2,1,5] => [3,4,7,8,6,2,1,5] => [4,1,1,1,1] => 0
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [8,6,7,3,4,2,1,5] => [3,4,6,8,7,2,1,5] => [4,1,1,1,1] => 0
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [6,7,8,3,4,2,1,5] => [3,4,6,7,8,2,1,5] => [3,1,1,1,1,1] => 0
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [8,6,7,4,2,3,1,5] => [2,4,6,8,7,3,1,5] => [4,1,1,1,1] => 0
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,2,3,1,5] => [2,4,7,6,8,3,1,5] => [4,1,1,1,1] => 0
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [6,7,8,4,2,3,1,5] => [2,4,6,7,8,3,1,5] => [3,1,1,1,1,1] => 0
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [8,7,6,3,2,4,1,5] => [3,2,8,7,6,4,1,5] => [5,2,1] => 1
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [8,6,7,3,2,4,1,5] => [3,2,6,8,7,4,1,5] => [4,2,1,1] => 1
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [7,6,8,3,2,4,1,5] => [3,2,7,6,8,4,1,5] => [4,2,1,1] => 1
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [6,7,8,3,2,4,1,5] => [3,2,6,7,8,4,1,5] => [3,2,1,1,1] => 1
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [8,7,6,2,3,4,1,5] => [2,3,4,8,7,6,1,5] => [4,1,1,1,1] => 0
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [7,8,6,2,3,4,1,5] => [2,3,4,7,8,6,1,5] => [3,1,1,1,1,1] => 0
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [8,6,7,2,3,4,1,5] => [2,3,4,6,8,7,1,5] => [3,1,1,1,1,1] => 0
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [7,6,8,2,3,4,1,5] => [2,3,4,7,6,8,1,5] => [3,1,1,1,1,1] => 0
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [6,7,8,2,3,4,1,5] => [2,3,4,6,7,8,1,5] => [2,1,1,1,1,1,1] => 0
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [7,6,8,4,3,1,2,5] => [1,4,7,6,8,3,2,5] => [4,1,1,1,1] => 0
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [6,7,8,4,3,1,2,5] => [1,4,6,7,8,3,2,5] => [3,1,1,1,1,1] => 0
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [8,7,6,3,4,1,2,5] => [1,3,4,8,7,6,2,5] => [4,1,1,1,1] => 0
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [7,6,8,3,4,1,2,5] => [1,3,4,7,6,8,2,5] => [3,1,1,1,1,1] => 0
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,2,1,3,5] => [2,4,8,7,6,1,3,5] => [4,1,1,1,1] => 0
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,2,1,3,5] => [2,4,7,8,6,1,3,5] => [3,1,1,1,1,1] => 0
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [8,6,7,4,2,1,3,5] => [2,4,6,8,7,1,3,5] => [3,1,1,1,1,1] => 0
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [6,7,8,4,2,1,3,5] => [2,4,6,7,8,1,3,5] => [2,1,1,1,1,1,1] => 0
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [8,7,6,4,1,2,3,5] => [1,2,4,8,7,6,3,5] => [4,1,1,1,1] => 0
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [7,8,6,4,1,2,3,5] => [1,2,4,7,8,6,3,5] => [3,1,1,1,1,1] => 0
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [6,7,8,4,1,2,3,5] => [1,2,4,6,7,8,3,5] => [2,1,1,1,1,1,1] => 0
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [8,7,6,3,2,1,4,5] => [3,2,8,7,6,1,4,5] => [4,2,1,1] => 1
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [7,8,6,3,2,1,4,5] => [3,2,7,8,6,1,4,5] => [3,2,1,1,1] => 1
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [8,6,7,3,2,1,4,5] => [3,2,6,8,7,1,4,5] => [3,2,1,1,1] => 1
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [7,6,8,3,2,1,4,5] => [3,2,7,6,8,1,4,5] => [3,2,1,1,1] => 1
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [6,7,8,3,2,1,4,5] => [3,2,6,7,8,1,4,5] => [3,1,1,1,1,1] => 0
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [8,7,6,2,3,1,4,5] => [2,3,1,8,7,6,4,5] => [4,2,1,1] => 1
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [7,8,6,2,3,1,4,5] => [2,3,1,7,8,6,4,5] => [3,2,1,1,1] => 1
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [6,7,8,2,3,1,4,5] => [2,3,1,6,7,8,4,5] => [2,2,1,1,1,1] => 1
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [8,7,6,3,1,2,4,5] => [1,3,2,8,7,6,4,5] => [4,2,1,1] => 1
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [8,6,7,3,1,2,4,5] => [1,3,2,6,8,7,4,5] => [3,2,1,1,1] => 1
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [7,6,8,3,1,2,4,5] => [1,3,2,7,6,8,4,5] => [3,2,1,1,1] => 1
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [6,7,8,3,1,2,4,5] => [1,3,2,6,7,8,4,5] => [2,2,1,1,1,1] => 1
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [2,1,3,8,7,6,4,5] => [4,2,1,1] => 1
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [7,8,6,2,1,3,4,5] => [2,1,3,7,8,6,4,5] => [3,2,1,1,1] => 1
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [8,6,7,2,1,3,4,5] => [2,1,3,6,8,7,4,5] => [3,2,1,1,1] => 1
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [2,1,3,6,7,8,4,5] => [2,2,1,1,1,1] => 1
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [1,2,3,4,8,7,6,5] => [4,1,1,1,1] => 0
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [1,2,3,4,7,8,6,5] => [3,1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [1,2,3,4,6,8,7,5] => [3,1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [7,6,8,1,2,3,4,5] => [1,2,3,4,7,6,8,5] => [3,1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [6,7,8,1,2,3,4,5] => [1,2,3,4,6,7,8,5] => [2,1,1,1,1,1,1] => 0
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [8,7,5,4,3,2,1,6] => [5,8,7,4,3,2,1,6] => [6,1,1] => 0
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [7,8,5,4,3,2,1,6] => [5,7,8,4,3,2,1,6] => [5,1,1,1] => 0
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [8,7,4,5,3,2,1,6] => [4,5,8,7,3,2,1,6] => [5,1,1,1] => 0
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [7,8,4,5,3,2,1,6] => [4,5,7,8,3,2,1,6] => [4,1,1,1,1] => 0
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [8,7,4,3,5,2,1,6] => [4,3,8,7,5,2,1,6] => [5,2,1] => 1
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [7,8,4,3,5,2,1,6] => [4,3,7,8,5,2,1,6] => [4,2,1,1] => 1
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [8,7,3,4,5,2,1,6] => [3,4,5,8,7,2,1,6] => [4,1,1,1,1] => 0
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [8,7,4,5,2,3,1,6] => [2,4,5,8,7,3,1,6] => [4,1,1,1,1] => 0
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [8,7,5,3,2,4,1,6] => [3,5,8,7,2,4,1,6] => [4,1,1,1,1] => 0
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [7,8,5,3,2,4,1,6] => [3,5,7,8,2,4,1,6] => [3,1,1,1,1,1] => 0
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [8,7,4,3,2,5,1,6] => [4,3,8,7,2,5,1,6] => [4,2,1,1] => 1
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [7,8,4,3,2,5,1,6] => [4,3,7,8,2,5,1,6] => [4,1,1,1,1] => 0
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [8,7,3,4,2,5,1,6] => [3,4,2,8,7,5,1,6] => [4,2,1,1] => 1
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [2,3,4,5,8,7,1,6] => [3,1,1,1,1,1] => 0
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [7,8,2,3,4,5,1,6] => [2,3,4,5,7,8,1,6] => [2,1,1,1,1,1,1] => 0
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [8,7,5,4,3,1,2,6] => [1,5,8,7,4,3,2,6] => [5,1,1,1] => 0
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [7,8,5,4,3,1,2,6] => [1,5,7,8,4,3,2,6] => [4,1,1,1,1] => 0
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [7,8,5,3,4,1,2,6] => [1,3,5,7,8,4,2,6] => [3,1,1,1,1,1] => 0
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [7,8,4,3,5,1,2,6] => [1,4,3,7,8,5,2,6] => [3,2,1,1,1] => 1
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [8,7,3,4,5,1,2,6] => [1,3,4,5,8,7,2,6] => [3,1,1,1,1,1] => 0
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [7,8,3,4,5,1,2,6] => [1,3,4,5,7,8,2,6] => [2,1,1,1,1,1,1] => 0
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,2,1,3,6] => [2,5,8,7,4,1,3,6] => [4,1,1,1,1] => 0
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,2,1,3,6] => [2,5,7,8,4,1,3,6] => [3,1,1,1,1,1] => 0
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [7,8,4,5,2,1,3,6] => [2,4,5,7,8,1,3,6] => [2,1,1,1,1,1,1] => 0
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [8,7,5,4,1,2,3,6] => [1,2,5,8,7,4,3,6] => [4,1,1,1,1] => 0
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [7,8,5,4,1,2,3,6] => [1,2,5,7,8,4,3,6] => [3,1,1,1,1,1] => 0
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [8,7,4,5,1,2,3,6] => [1,2,4,5,8,7,3,6] => [3,1,1,1,1,1] => 0
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [7,8,4,5,1,2,3,6] => [1,2,4,5,7,8,3,6] => [2,1,1,1,1,1,1] => 0
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]] => [7,8,5,3,2,1,4,6] => [3,5,7,8,2,1,4,6] => [3,1,1,1,1,1] => 0
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [7,8,5,2,3,1,4,6] => [2,3,5,7,8,1,4,6] => [2,1,1,1,1,1,1] => 0
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [8,7,5,3,1,2,4,6] => [1,3,5,8,7,2,4,6] => [3,1,1,1,1,1] => 0
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [7,8,5,3,1,2,4,6] => [1,3,5,7,8,2,4,6] => [2,1,1,1,1,1,1] => 0
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [8,7,5,2,1,3,4,6] => [2,1,5,8,7,3,4,6] => [3,2,1,1,1] => 1
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [7,8,5,2,1,3,4,6] => [2,1,5,7,8,3,4,6] => [2,2,1,1,1,1] => 1
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [8,7,5,1,2,3,4,6] => [1,2,3,5,8,7,4,6] => [3,1,1,1,1,1] => 0
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [7,8,5,1,2,3,4,6] => [1,2,3,5,7,8,4,6] => [2,1,1,1,1,1,1] => 0
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [8,7,4,3,2,1,5,6] => [4,3,8,7,2,1,5,6] => [4,2,1,1] => 1
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [7,8,4,3,2,1,5,6] => [4,3,7,8,2,1,5,6] => [4,1,1,1,1] => 0
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [7,8,3,4,2,1,5,6] => [3,4,2,7,8,1,5,6] => [3,1,1,1,1,1] => 0
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [7,8,4,2,3,1,5,6] => [2,4,3,7,8,1,5,6] => [3,1,1,1,1,1] => 0
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [8,7,3,2,4,1,5,6] => [3,2,4,8,7,1,5,6] => [3,2,1,1,1] => 1
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [7,8,3,2,4,1,5,6] => [3,2,4,7,8,1,5,6] => [3,1,1,1,1,1] => 0
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [8,7,2,3,4,1,5,6] => [2,3,4,1,8,7,5,6] => [3,2,1,1,1] => 1
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [2,3,4,1,7,8,5,6] => [2,2,1,1,1,1] => 1
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [8,7,4,3,1,2,5,6] => [1,4,3,8,7,2,5,6] => [3,2,1,1,1] => 1
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [7,8,4,3,1,2,5,6] => [1,4,3,7,8,2,5,6] => [3,1,1,1,1,1] => 0
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [7,8,3,4,1,2,5,6] => [1,3,4,2,7,8,5,6] => [2,2,1,1,1,1] => 1
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [8,7,4,2,1,3,5,6] => [2,4,1,8,7,3,5,6] => [3,2,1,1,1] => 1
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [7,8,4,2,1,3,5,6] => [2,4,1,7,8,3,5,6] => [2,2,1,1,1,1] => 1
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [8,7,4,1,2,3,5,6] => [1,2,4,3,8,7,5,6] => [3,2,1,1,1] => 1
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [7,8,4,1,2,3,5,6] => [1,2,4,3,7,8,5,6] => [2,2,1,1,1,1] => 1
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [8,7,3,2,1,4,5,6] => [3,2,1,8,7,4,5,6] => [3,3,1,1] => 2
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [7,8,3,2,1,4,5,6] => [3,2,1,7,8,4,5,6] => [3,2,1,1,1] => 1
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [7,8,2,3,1,4,5,6] => [2,3,1,4,7,8,5,6] => [2,2,1,1,1,1] => 1
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [7,8,3,1,2,4,5,6] => [1,3,2,4,7,8,5,6] => [2,2,1,1,1,1] => 1
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [8,7,2,1,3,4,5,6] => [2,1,3,4,8,7,5,6] => [3,2,1,1,1] => 1
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [7,8,2,1,3,4,5,6] => [2,1,3,4,7,8,5,6] => [2,2,1,1,1,1] => 1
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [1,2,3,4,5,8,7,6] => [3,1,1,1,1,1] => 0
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [1,2,3,4,5,7,8,6] => [2,1,1,1,1,1,1] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [8,6,5,4,3,2,1,7] => [6,8,5,4,3,2,1,7] => [6,1,1] => 0
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [8,5,6,4,3,2,1,7] => [5,6,8,4,3,2,1,7] => [5,1,1,1] => 0
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [8,6,4,5,3,2,1,7] => [4,6,8,5,3,2,1,7] => [5,1,1,1] => 0
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [8,5,4,6,3,2,1,7] => [5,4,8,6,3,2,1,7] => [5,2,1] => 1
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [8,4,5,6,3,2,1,7] => [4,5,6,8,3,2,1,7] => [4,1,1,1,1] => 0
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [8,5,6,3,4,2,1,7] => [3,5,6,8,4,2,1,7] => [4,1,1,1,1] => 0
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [8,5,4,3,6,2,1,7] => [5,4,8,3,6,2,1,7] => [5,1,1,1] => 0
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [8,5,6,4,2,3,1,7] => [2,5,6,8,4,3,1,7] => [4,1,1,1,1] => 0
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [8,6,4,5,2,3,1,7] => [2,4,6,8,5,3,1,7] => [4,1,1,1,1] => 0
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [8,4,5,6,2,3,1,7] => [2,4,5,6,8,3,1,7] => [3,1,1,1,1,1] => 0
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [8,6,4,2,3,5,1,7] => [2,4,6,8,3,5,1,7] => [3,1,1,1,1,1] => 0
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [8,5,4,3,2,6,1,7] => [5,4,8,3,2,6,1,7] => [5,1,1,1] => 0
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [8,4,5,3,2,6,1,7] => [4,5,3,8,2,6,1,7] => [4,1,1,1,1] => 0
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [8,5,3,4,2,6,1,7] => [3,5,4,8,2,6,1,7] => [4,1,1,1,1] => 0
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [8,5,4,2,3,6,1,7] => [2,5,4,8,3,6,1,7] => [4,1,1,1,1] => 0
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [8,4,5,2,3,6,1,7] => [2,4,5,3,8,6,1,7] => [3,2,1,1,1] => 1
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [8,5,3,2,4,6,1,7] => [3,5,2,8,4,6,1,7] => [3,2,1,1,1] => 1
[[.,[[[[.,[.,.]],.],.],.]],[.,.]] => [8,3,2,4,5,6,1,7] => [3,2,4,5,8,6,1,7] => [3,2,1,1,1] => 1
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [2,3,4,5,6,8,1,7] => [2,1,1,1,1,1,1] => 0
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [8,6,5,4,3,1,2,7] => [1,6,8,5,4,3,2,7] => [5,1,1,1] => 0
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [8,5,4,6,3,1,2,7] => [1,5,4,8,6,3,2,7] => [4,2,1,1] => 1
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [8,6,5,3,4,1,2,7] => [1,3,6,8,5,4,2,7] => [4,1,1,1,1] => 0
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [8,5,6,3,4,1,2,7] => [1,3,5,6,8,4,2,7] => [3,1,1,1,1,1] => 0
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]] => [8,6,4,3,5,1,2,7] => [1,4,6,8,3,5,2,7] => [3,1,1,1,1,1] => 0
[[[.,.],[[[.,.],[.,.]],.]],[.,.]] => [8,5,3,4,6,1,2,7] => [1,3,5,4,8,6,2,7] => [3,2,1,1,1] => 1
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [8,3,4,5,6,1,2,7] => [1,3,4,5,6,8,2,7] => [2,1,1,1,1,1,1] => 0
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,2,1,3,7] => [2,6,8,5,4,1,3,7] => [4,1,1,1,1] => 0
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,2,1,3,7] => [2,4,6,8,5,1,3,7] => [3,1,1,1,1,1] => 0
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [8,4,5,6,2,1,3,7] => [2,4,5,6,8,1,3,7] => [2,1,1,1,1,1,1] => 0
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [8,6,5,4,1,2,3,7] => [1,2,6,8,5,4,3,7] => [4,1,1,1,1] => 0
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [8,6,4,5,1,2,3,7] => [1,2,4,6,8,5,3,7] => [3,1,1,1,1,1] => 0
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [8,5,4,6,1,2,3,7] => [1,2,5,4,8,6,3,7] => [3,2,1,1,1] => 1
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [8,4,5,6,1,2,3,7] => [1,2,4,5,6,8,3,7] => [2,1,1,1,1,1,1] => 0
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [8,5,6,3,2,1,4,7] => [3,5,6,8,2,1,4,7] => [3,1,1,1,1,1] => 0
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [8,6,5,2,3,1,4,7] => [2,3,6,8,5,1,4,7] => [3,1,1,1,1,1] => 0
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [8,5,6,2,3,1,4,7] => [2,3,5,6,8,1,4,7] => [2,1,1,1,1,1,1] => 0
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [8,6,5,3,1,2,4,7] => [1,3,6,8,5,2,4,7] => [3,1,1,1,1,1] => 0
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [8,5,6,3,1,2,4,7] => [1,3,5,6,8,2,4,7] => [2,1,1,1,1,1,1] => 0
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [8,5,6,2,1,3,4,7] => [2,1,5,6,8,3,4,7] => [2,2,1,1,1,1] => 1
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [8,6,5,1,2,3,4,7] => [1,2,3,6,8,5,4,7] => [3,1,1,1,1,1] => 0
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [8,5,6,1,2,3,4,7] => [1,2,3,5,6,8,4,7] => [2,1,1,1,1,1,1] => 0
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [8,6,4,3,2,1,5,7] => [4,6,8,3,2,1,5,7] => [4,1,1,1,1] => 0
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [8,6,3,4,2,1,5,7] => [3,4,6,8,2,1,5,7] => [3,1,1,1,1,1] => 0
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [8,6,4,2,3,1,5,7] => [2,4,6,8,3,1,5,7] => [3,1,1,1,1,1] => 0
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [8,6,3,2,4,1,5,7] => [3,2,6,8,4,1,5,7] => [3,2,1,1,1] => 1
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [8,6,2,3,4,1,5,7] => [2,3,4,6,8,1,5,7] => [2,1,1,1,1,1,1] => 0
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [8,6,4,3,1,2,5,7] => [1,4,6,8,3,2,5,7] => [3,1,1,1,1,1] => 0
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [8,6,3,4,1,2,5,7] => [1,3,4,6,8,2,5,7] => [2,1,1,1,1,1,1] => 0
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [8,6,4,2,1,3,5,7] => [2,4,6,8,1,3,5,7] => [2,1,1,1,1,1,1] => 0
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [1,2,4,6,8,3,5,7] => [2,1,1,1,1,1,1] => 0
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [8,6,2,3,1,4,5,7] => [2,3,1,6,8,4,5,7] => [2,2,1,1,1,1] => 1
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [8,6,1,2,3,4,5,7] => [1,2,3,4,6,8,5,7] => [2,1,1,1,1,1,1] => 0
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [5,4,8,3,2,1,6,7] => [5,1,1,1] => 0
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [8,4,5,3,2,1,6,7] => [4,5,3,8,2,1,6,7] => [4,1,1,1,1] => 0
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [8,4,3,5,2,1,6,7] => [4,3,5,8,2,1,6,7] => [4,1,1,1,1] => 0
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [8,5,4,2,3,1,6,7] => [2,5,4,8,3,1,6,7] => [4,1,1,1,1] => 0
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [8,4,2,3,5,1,6,7] => [2,4,3,5,8,1,6,7] => [3,1,1,1,1,1] => 0
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [8,3,2,4,5,1,6,7] => [3,2,4,5,8,1,6,7] => [3,1,1,1,1,1] => 0
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [8,2,3,4,5,1,6,7] => [2,3,4,5,1,8,6,7] => [2,2,1,1,1,1] => 1
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [8,5,4,3,1,2,6,7] => [1,5,4,8,3,2,6,7] => [4,1,1,1,1] => 0
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [8,5,3,4,1,2,6,7] => [1,3,5,4,8,2,6,7] => [3,1,1,1,1,1] => 0
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [8,4,3,5,1,2,6,7] => [1,4,3,5,8,2,6,7] => [3,1,1,1,1,1] => 0
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [8,3,4,5,1,2,6,7] => [1,3,4,5,2,8,6,7] => [2,2,1,1,1,1] => 1
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [8,4,5,2,1,3,6,7] => [2,4,5,1,8,3,6,7] => [2,2,1,1,1,1] => 1
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [8,5,4,1,2,3,6,7] => [1,2,5,4,8,3,6,7] => [3,1,1,1,1,1] => 0
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [8,4,5,1,2,3,6,7] => [1,2,4,5,3,8,6,7] => [2,2,1,1,1,1] => 1
[[[[.,[[.,.],.]],[.,.]],.],[.,.]] => [8,5,2,3,1,4,6,7] => [2,3,5,1,8,4,6,7] => [2,2,1,1,1,1] => 1
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [8,5,3,1,2,4,6,7] => [1,3,5,2,8,4,6,7] => [2,2,1,1,1,1] => 1
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [8,5,2,1,3,4,6,7] => [2,1,5,3,8,4,6,7] => [2,2,2,1,1] => 2
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [8,5,1,2,3,4,6,7] => [1,2,3,5,4,8,6,7] => [2,2,1,1,1,1] => 1
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [8,4,3,2,1,5,6,7] => [4,3,2,8,1,5,6,7] => [4,1,1,1,1] => 0
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [8,3,4,2,1,5,6,7] => [3,4,2,1,8,5,6,7] => [3,2,1,1,1] => 1
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [8,4,2,3,1,5,6,7] => [2,4,3,1,8,5,6,7] => [3,2,1,1,1] => 1
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [8,3,2,4,1,5,6,7] => [3,2,4,1,8,5,6,7] => [3,2,1,1,1] => 1
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [8,2,3,4,1,5,6,7] => [2,3,4,1,5,8,6,7] => [2,2,1,1,1,1] => 1
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [8,4,3,1,2,5,6,7] => [1,4,3,2,8,5,6,7] => [3,2,1,1,1] => 1
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [8,3,4,1,2,5,6,7] => [1,3,4,2,5,8,6,7] => [2,2,1,1,1,1] => 1
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [8,4,2,1,3,5,6,7] => [2,4,1,3,8,5,6,7] => [2,2,1,1,1,1] => 1
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [1,2,4,3,5,8,6,7] => [2,2,1,1,1,1] => 1
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [3,2,1,4,8,5,6,7] => [3,2,1,1,1] => 1
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [8,2,3,1,4,5,6,7] => [2,3,1,4,5,8,6,7] => [2,2,1,1,1,1] => 1
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [8,3,1,2,4,5,6,7] => [1,3,2,4,5,8,6,7] => [2,2,1,1,1,1] => 1
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [2,1,3,4,5,8,6,7] => [2,2,1,1,1,1] => 1
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,8,7] => [2,1,1,1,1,1,1] => 0
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [7,1] => 0
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [6,7,5,4,3,2,1,8] => [6,1,1] => 0
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [5,7,6,4,3,2,1,8] => [6,1,1] => 0
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [6,5,7,4,3,2,1,8] => [6,1,1] => 0
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [5,6,7,4,3,2,1,8] => [5,1,1,1] => 0
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [4,7,6,5,3,2,1,8] => [6,1,1] => 0
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [6,7,4,5,3,2,1,8] => [4,6,7,5,3,2,1,8] => [5,1,1,1] => 0
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [7,5,4,6,3,2,1,8] => [5,7,4,6,3,2,1,8] => [5,1,1,1] => 0
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [7,4,5,6,3,2,1,8] => [4,5,7,6,3,2,1,8] => [5,1,1,1] => 0
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [6,5,4,7,3,2,1,8] => [6,1,1] => 0
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [5,6,4,7,3,2,1,8] => [5,1,1,1] => 0
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [6,4,5,7,3,2,1,8] => [4,6,5,7,3,2,1,8] => [5,1,1,1] => 0
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [5,4,6,7,3,2,1,8] => [5,1,1,1] => 0
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [4,5,6,7,3,2,1,8] => [4,1,1,1,1] => 0
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [7,5,6,3,4,2,1,8] => [3,5,7,6,4,2,1,8] => [5,1,1,1] => 0
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [5,6,7,3,4,2,1,8] => [3,5,6,7,4,2,1,8] => [4,1,1,1,1] => 0
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [7,6,4,3,5,2,1,8] => [4,7,6,3,5,2,1,8] => [5,1,1,1] => 0
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [7,6,3,4,5,2,1,8] => [3,4,7,6,5,2,1,8] => [5,1,1,1] => 0
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [7,5,4,3,6,2,1,8] => [5,7,4,3,6,2,1,8] => [5,1,1,1] => 0
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [6,5,4,3,7,2,1,8] => [6,1,1] => 0
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [5,6,4,3,7,2,1,8] => [5,1,1,1] => 0
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [5,4,6,3,7,2,1,8] => [5,1,1,1] => 0
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [6,5,3,4,7,2,1,8] => [3,6,5,4,7,2,1,8] => [5,1,1,1] => 0
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [5,6,3,4,7,2,1,8] => [3,5,6,4,7,2,1,8] => [4,1,1,1,1] => 0
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [5,4,3,6,7,2,1,8] => [5,1,1,1] => 0
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [3,4,5,6,7,2,1,8] => [3,1,1,1,1,1] => 0
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,2,3,1,8] => [2,7,6,5,4,3,1,8] => [6,1,1] => 0
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,2,3,1,8] => [2,6,7,5,4,3,1,8] => [5,1,1,1] => 0
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [7,5,6,4,2,3,1,8] => [2,5,7,6,4,3,1,8] => [5,1,1,1] => 0
[[.,[[.,.],[.,[[[.,.],.],.]]]],.] => [5,6,7,4,2,3,1,8] => [2,5,6,7,4,3,1,8] => [4,1,1,1,1] => 0
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [6,7,4,5,2,3,1,8] => [2,4,6,7,5,3,1,8] => [4,1,1,1,1] => 0
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [5,6,4,7,2,3,1,8] => [2,5,6,4,7,3,1,8] => [4,1,1,1,1] => 0
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [5,4,6,7,2,3,1,8] => [2,5,4,6,7,3,1,8] => [4,1,1,1,1] => 0
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [4,5,6,7,2,3,1,8] => [2,4,5,6,7,3,1,8] => [3,1,1,1,1,1] => 0
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [7,6,5,3,2,4,1,8] => [3,7,6,5,2,4,1,8] => [5,1,1,1] => 0
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [7,5,6,3,2,4,1,8] => [3,5,7,6,2,4,1,8] => [4,1,1,1,1] => 0
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [6,5,7,3,2,4,1,8] => [3,6,5,7,2,4,1,8] => [4,1,1,1,1] => 0
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [5,6,7,3,2,4,1,8] => [3,5,6,7,2,4,1,8] => [3,1,1,1,1,1] => 0
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [7,6,5,2,3,4,1,8] => [2,3,7,6,5,4,1,8] => [5,1,1,1] => 0
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [6,7,5,2,3,4,1,8] => [2,3,6,7,5,4,1,8] => [4,1,1,1,1] => 0
[[.,[[[.,.],.],[[.,.],[.,.]]]],.] => [7,5,6,2,3,4,1,8] => [2,3,5,7,6,4,1,8] => [4,1,1,1,1] => 0
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [6,5,7,2,3,4,1,8] => [2,3,6,5,7,4,1,8] => [4,1,1,1,1] => 0
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [5,6,7,2,3,4,1,8] => [2,3,5,6,7,4,1,8] => [3,1,1,1,1,1] => 0
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [7,6,3,2,4,5,1,8] => [3,2,7,6,4,5,1,8] => [4,2,1,1] => 1
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [6,7,3,2,4,5,1,8] => [3,2,6,7,4,5,1,8] => [3,2,1,1,1] => 1
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [7,6,2,3,4,5,1,8] => [2,3,4,7,6,5,1,8] => [4,1,1,1,1] => 0
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [6,7,2,3,4,5,1,8] => [2,3,4,6,7,5,1,8] => [3,1,1,1,1,1] => 0
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [7,5,4,3,2,6,1,8] => [5,7,4,3,2,6,1,8] => [5,1,1,1] => 0
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [7,5,3,4,2,6,1,8] => [3,5,7,4,2,6,1,8] => [4,1,1,1,1] => 0
[[.,[[[.,.],[[.,.],.]],[.,.]]],.] => [7,4,5,2,3,6,1,8] => [2,4,5,7,3,6,1,8] => [3,1,1,1,1,1] => 0
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [7,5,3,2,4,6,1,8] => [3,5,7,2,4,6,1,8] => [3,1,1,1,1,1] => 0
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [7,4,3,2,5,6,1,8] => [4,3,7,2,5,6,1,8] => [4,1,1,1,1] => 0
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [7,2,3,4,5,6,1,8] => [2,3,4,5,7,6,1,8] => [3,1,1,1,1,1] => 0
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [6,5,4,3,2,7,1,8] => [6,1,1] => 0
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [5,6,4,3,2,7,1,8] => [5,1,1,1] => 0
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [5,4,6,3,2,7,1,8] => [5,1,1,1] => 0
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [5,6,3,4,2,7,1,8] => [3,5,6,4,2,7,1,8] => [4,1,1,1,1] => 0
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [6,4,3,5,2,7,1,8] => [4,6,3,5,2,7,1,8] => [4,1,1,1,1] => 0
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [6,3,4,5,2,7,1,8] => [3,4,6,5,2,7,1,8] => [4,1,1,1,1] => 0
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [5,4,3,6,2,7,1,8] => [5,1,1,1] => 0
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [4,5,3,6,2,7,1,8] => [4,1,1,1,1] => 0
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [5,3,4,6,2,7,1,8] => [3,5,4,6,2,7,1,8] => [4,1,1,1,1] => 0
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [4,3,5,6,2,7,1,8] => [4,1,1,1,1] => 0
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [3,4,5,6,2,7,1,8] => [3,1,1,1,1,1] => 0
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [5,4,6,2,3,7,1,8] => [2,5,4,6,3,7,1,8] => [4,1,1,1,1] => 0
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [6,5,3,2,4,7,1,8] => [3,6,5,2,4,7,1,8] => [4,1,1,1,1] => 0
[[.,[[[.,[.,.]],[[.,.],.]],.]],.] => [5,6,3,2,4,7,1,8] => [3,5,6,2,4,7,1,8] => [3,1,1,1,1,1] => 0
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [5,6,2,3,4,7,1,8] => [2,3,5,6,4,7,1,8] => [3,1,1,1,1,1] => 0
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [6,3,4,2,5,7,1,8] => [3,4,6,2,5,7,1,8] => [3,1,1,1,1,1] => 0
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [6,4,2,3,5,7,1,8] => [2,4,6,3,5,7,1,8] => [3,1,1,1,1,1] => 0
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [6,3,2,4,5,7,1,8] => [3,2,6,4,5,7,1,8] => [3,2,1,1,1] => 1
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [6,2,3,4,5,7,1,8] => [2,3,4,6,5,7,1,8] => [3,1,1,1,1,1] => 0
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [5,4,3,2,6,7,1,8] => [5,1,1,1] => 0
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [5,4,2,3,6,7,1,8] => [2,5,4,3,6,7,1,8] => [4,1,1,1,1] => 0
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [5,2,3,4,6,7,1,8] => [2,3,5,4,6,7,1,8] => [3,1,1,1,1,1] => 0
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [4,3,2,5,6,7,1,8] => [4,1,1,1,1] => 0
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [3,4,2,5,6,7,1,8] => [3,1,1,1,1,1] => 0
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [3,2,4,5,6,7,1,8] => [3,1,1,1,1,1] => 0
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [2,3,4,5,6,7,1,8] => [2,1,1,1,1,1,1] => 0
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [7,6,5,4,3,1,2,8] => [1,7,6,5,4,3,2,8] => [6,1,1] => 0
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [6,7,5,4,3,1,2,8] => [1,6,7,5,4,3,2,8] => [5,1,1,1] => 0
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [6,5,7,4,3,1,2,8] => [1,6,5,7,4,3,2,8] => [5,1,1,1] => 0
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [5,6,7,4,3,1,2,8] => [1,5,6,7,4,3,2,8] => [4,1,1,1,1] => 0
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [7,6,4,5,3,1,2,8] => [1,4,7,6,5,3,2,8] => [5,1,1,1] => 0
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [7,5,4,6,3,1,2,8] => [1,5,7,4,6,3,2,8] => [4,1,1,1,1] => 0
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [5,4,6,7,3,1,2,8] => [1,5,4,6,7,3,2,8] => [4,1,1,1,1] => 0
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [7,6,5,3,4,1,2,8] => [1,3,7,6,5,4,2,8] => [5,1,1,1] => 0
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [6,7,5,3,4,1,2,8] => [1,3,6,7,5,4,2,8] => [4,1,1,1,1] => 0
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [7,5,6,3,4,1,2,8] => [1,3,5,7,6,4,2,8] => [4,1,1,1,1] => 0
[[[.,.],[[.,.],[[.,[.,.]],.]]],.] => [6,5,7,3,4,1,2,8] => [1,3,6,5,7,4,2,8] => [4,1,1,1,1] => 0
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [5,6,7,3,4,1,2,8] => [1,3,5,6,7,4,2,8] => [3,1,1,1,1,1] => 0
[[[.,.],[[.,[.,.]],[[.,.],.]]],.] => [6,7,4,3,5,1,2,8] => [1,4,6,7,3,5,2,8] => [3,1,1,1,1,1] => 0
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [6,7,3,4,5,1,2,8] => [1,3,4,6,7,5,2,8] => [3,1,1,1,1,1] => 0
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.] => [7,5,4,3,6,1,2,8] => [1,5,7,4,3,6,2,8] => [4,1,1,1,1] => 0
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [7,5,3,4,6,1,2,8] => [1,3,5,7,4,6,2,8] => [3,1,1,1,1,1] => 0
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [7,3,4,5,6,1,2,8] => [1,3,4,5,7,6,2,8] => [3,1,1,1,1,1] => 0
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [6,5,3,4,7,1,2,8] => [1,3,6,5,4,7,2,8] => [4,1,1,1,1] => 0
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [5,6,3,4,7,1,2,8] => [1,3,5,6,4,7,2,8] => [3,1,1,1,1,1] => 0
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [6,3,4,5,7,1,2,8] => [1,3,4,6,5,7,2,8] => [3,1,1,1,1,1] => 0
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [4,5,3,6,7,1,2,8] => [1,4,5,3,6,7,2,8] => [3,1,1,1,1,1] => 0
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [5,3,4,6,7,1,2,8] => [1,3,5,4,6,7,2,8] => [3,1,1,1,1,1] => 0
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [3,4,5,6,7,1,2,8] => [1,3,4,5,6,7,2,8] => [2,1,1,1,1,1,1] => 0
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,2,1,3,8] => [2,7,6,5,4,1,3,8] => [5,1,1,1] => 0
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [6,7,5,4,2,1,3,8] => [2,6,7,5,4,1,3,8] => [4,1,1,1,1] => 0
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.] => [6,5,7,4,2,1,3,8] => [2,6,5,7,4,1,3,8] => [4,1,1,1,1] => 0
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,2,1,3,8] => [2,5,7,4,6,1,3,8] => [3,1,1,1,1,1] => 0
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [6,5,4,7,2,1,3,8] => [2,6,5,4,7,1,3,8] => [4,1,1,1,1] => 0
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [5,6,4,7,2,1,3,8] => [2,5,6,4,7,1,3,8] => [3,1,1,1,1,1] => 0
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [5,4,6,7,2,1,3,8] => [2,5,4,6,7,1,3,8] => [3,1,1,1,1,1] => 0
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [4,5,6,7,2,1,3,8] => [2,4,5,6,7,1,3,8] => [2,1,1,1,1,1,1] => 0
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [1,2,7,6,5,4,3,8] => [5,1,1,1] => 0
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [6,7,5,4,1,2,3,8] => [1,2,6,7,5,4,3,8] => [4,1,1,1,1] => 0
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [7,5,6,4,1,2,3,8] => [1,2,5,7,6,4,3,8] => [4,1,1,1,1] => 0
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [5,6,7,4,1,2,3,8] => [1,2,5,6,7,4,3,8] => [3,1,1,1,1,1] => 0
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [6,7,4,5,1,2,3,8] => [1,2,4,6,7,5,3,8] => [3,1,1,1,1,1] => 0
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [5,6,4,7,1,2,3,8] => [1,2,5,6,4,7,3,8] => [3,1,1,1,1,1] => 0
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [5,4,6,7,1,2,3,8] => [1,2,5,4,6,7,3,8] => [3,1,1,1,1,1] => 0
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [4,5,6,7,1,2,3,8] => [1,2,4,5,6,7,3,8] => [2,1,1,1,1,1,1] => 0
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [6,7,5,3,2,1,4,8] => [3,6,7,5,2,1,4,8] => [4,1,1,1,1] => 0
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [7,5,6,3,2,1,4,8] => [3,5,7,6,2,1,4,8] => [4,1,1,1,1] => 0
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [7,6,5,2,3,1,4,8] => [2,3,7,6,5,1,4,8] => [4,1,1,1,1] => 0
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [5,6,7,2,3,1,4,8] => [2,3,5,6,7,1,4,8] => [2,1,1,1,1,1,1] => 0
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [7,6,5,3,1,2,4,8] => [1,3,7,6,5,2,4,8] => [4,1,1,1,1] => 0
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [6,7,5,3,1,2,4,8] => [1,3,6,7,5,2,4,8] => [3,1,1,1,1,1] => 0
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [7,5,6,3,1,2,4,8] => [1,3,5,7,6,2,4,8] => [3,1,1,1,1,1] => 0
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [5,6,7,3,1,2,4,8] => [1,3,5,6,7,2,4,8] => [2,1,1,1,1,1,1] => 0
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [7,6,5,2,1,3,4,8] => [2,1,7,6,5,3,4,8] => [4,2,1,1] => 1
[[[[.,[.,.]],.],[[[.,.],.],.]],.] => [5,6,7,2,1,3,4,8] => [2,1,5,6,7,3,4,8] => [2,2,1,1,1,1] => 1
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [7,6,5,1,2,3,4,8] => [1,2,3,7,6,5,4,8] => [4,1,1,1,1] => 0
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [6,7,5,1,2,3,4,8] => [1,2,3,6,7,5,4,8] => [3,1,1,1,1,1] => 0
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [7,5,6,1,2,3,4,8] => [1,2,3,5,7,6,4,8] => [3,1,1,1,1,1] => 0
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [6,5,7,1,2,3,4,8] => [1,2,3,6,5,7,4,8] => [3,1,1,1,1,1] => 0
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [5,6,7,1,2,3,4,8] => [1,2,3,5,6,7,4,8] => [2,1,1,1,1,1,1] => 0
[[[.,[.,[[.,.],.]]],[[.,.],.]],.] => [6,7,3,4,2,1,5,8] => [3,4,6,7,2,1,5,8] => [3,1,1,1,1,1] => 0
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [7,6,3,2,4,1,5,8] => [3,2,7,6,4,1,5,8] => [4,2,1,1] => 1
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [7,6,2,3,4,1,5,8] => [2,3,4,7,6,1,5,8] => [3,1,1,1,1,1] => 0
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [6,7,2,3,4,1,5,8] => [2,3,4,6,7,1,5,8] => [2,1,1,1,1,1,1] => 0
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [7,6,4,3,1,2,5,8] => [1,4,7,6,3,2,5,8] => [4,1,1,1,1] => 0
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [6,7,3,4,1,2,5,8] => [1,3,4,6,7,2,5,8] => [2,1,1,1,1,1,1] => 0
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [7,6,3,2,1,4,5,8] => [3,2,7,6,1,4,5,8] => [3,2,1,1,1] => 1
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [7,6,3,1,2,4,5,8] => [1,3,2,7,6,4,5,8] => [3,2,1,1,1] => 1
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [6,7,3,1,2,4,5,8] => [1,3,2,6,7,4,5,8] => [2,2,1,1,1,1] => 1
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [1,2,3,4,7,6,5,8] => [3,1,1,1,1,1] => 0
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [1,2,3,4,6,7,5,8] => [2,1,1,1,1,1,1] => 0
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [7,5,3,4,2,1,6,8] => [3,5,7,4,2,1,6,8] => [4,1,1,1,1] => 0
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [7,4,3,5,2,1,6,8] => [4,3,7,5,2,1,6,8] => [4,2,1,1] => 1
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [7,5,4,2,3,1,6,8] => [2,5,7,4,3,1,6,8] => [4,1,1,1,1] => 0
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [7,5,3,2,4,1,6,8] => [3,5,7,2,4,1,6,8] => [3,1,1,1,1,1] => 0
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [7,4,3,2,5,1,6,8] => [4,3,7,2,5,1,6,8] => [4,1,1,1,1] => 0
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [7,2,3,4,5,1,6,8] => [2,3,4,5,7,1,6,8] => [2,1,1,1,1,1,1] => 0
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [7,4,5,3,1,2,6,8] => [1,4,5,7,3,2,6,8] => [3,1,1,1,1,1] => 0
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [7,5,3,4,1,2,6,8] => [1,3,5,7,4,2,6,8] => [3,1,1,1,1,1] => 0
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [7,3,4,5,1,2,6,8] => [1,3,4,5,7,2,6,8] => [2,1,1,1,1,1,1] => 0
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [7,5,4,1,2,3,6,8] => [1,2,5,7,4,3,6,8] => [3,1,1,1,1,1] => 0
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [7,4,5,1,2,3,6,8] => [1,2,4,5,7,3,6,8] => [2,1,1,1,1,1,1] => 0
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [7,5,3,2,1,4,6,8] => [3,5,7,2,1,4,6,8] => [3,1,1,1,1,1] => 0
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [7,5,2,3,1,4,6,8] => [2,3,5,7,1,4,6,8] => [2,1,1,1,1,1,1] => 0
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [7,5,3,1,2,4,6,8] => [1,3,5,7,2,4,6,8] => [2,1,1,1,1,1,1] => 0
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [7,5,2,1,3,4,6,8] => [2,1,5,7,3,4,6,8] => [2,2,1,1,1,1] => 1
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [7,5,1,2,3,4,6,8] => [1,2,3,5,7,4,6,8] => [2,1,1,1,1,1,1] => 0
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [4,3,7,2,1,5,6,8] => [4,1,1,1,1] => 0
[[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [7,3,4,2,1,5,6,8] => [3,4,2,7,1,5,6,8] => [3,1,1,1,1,1] => 0
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [7,2,3,4,1,5,6,8] => [2,3,4,1,7,5,6,8] => [2,2,1,1,1,1] => 1
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [7,4,3,1,2,5,6,8] => [1,4,3,7,2,5,6,8] => [3,1,1,1,1,1] => 0
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [1,2,4,3,7,5,6,8] => [2,2,1,1,1,1] => 1
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [3,2,1,7,4,5,6,8] => [3,2,1,1,1] => 1
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [7,2,3,1,4,5,6,8] => [2,3,1,4,7,5,6,8] => [2,2,1,1,1,1] => 1
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [2,1,3,4,7,5,6,8] => [2,2,1,1,1,1] => 1
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [1,2,3,4,5,7,6,8] => [2,1,1,1,1,1,1] => 0
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => [6,1,1] => 0
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [5,6,4,3,2,1,7,8] => [5,1,1,1] => 0
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [5,4,6,3,2,1,7,8] => [5,1,1,1] => 0
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [4,5,6,3,2,1,7,8] => [4,1,1,1,1] => 0
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [3,6,5,4,2,1,7,8] => [5,1,1,1] => 0
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [5,4,3,6,2,1,7,8] => [5,1,1,1] => 0
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [6,4,5,2,3,1,7,8] => [2,4,6,5,3,1,7,8] => [4,1,1,1,1] => 0
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [4,5,6,2,3,1,7,8] => [2,4,5,6,3,1,7,8] => [3,1,1,1,1,1] => 0
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.] => [6,5,3,2,4,1,7,8] => [3,6,5,2,4,1,7,8] => [4,1,1,1,1] => 0
[[[.,[[.,[.,.]],[[.,.],.]]],.],.] => [5,6,3,2,4,1,7,8] => [3,5,6,2,4,1,7,8] => [3,1,1,1,1,1] => 0
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [5,6,2,3,4,1,7,8] => [2,3,5,6,4,1,7,8] => [3,1,1,1,1,1] => 0
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [4,6,3,2,5,1,7,8] => [4,1,1,1,1] => 0
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [6,3,4,2,5,1,7,8] => [3,4,6,2,5,1,7,8] => [3,1,1,1,1,1] => 0
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [6,4,2,3,5,1,7,8] => [2,4,6,3,5,1,7,8] => [3,1,1,1,1,1] => 0
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [6,2,3,4,5,1,7,8] => [2,3,4,6,5,1,7,8] => [3,1,1,1,1,1] => 0
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [5,4,3,2,6,1,7,8] => [5,1,1,1] => 0
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [4,5,3,2,6,1,7,8] => [4,1,1,1,1] => 0
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [5,3,4,2,6,1,7,8] => [3,5,4,2,6,1,7,8] => [4,1,1,1,1] => 0
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [4,3,5,2,6,1,7,8] => [4,1,1,1,1] => 0
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [3,4,5,2,6,1,7,8] => [3,1,1,1,1,1] => 0
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [5,2,3,4,6,1,7,8] => [2,3,5,4,6,1,7,8] => [3,1,1,1,1,1] => 0
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [4,3,2,5,6,1,7,8] => [4,1,1,1,1] => 0
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [3,4,2,5,6,1,7,8] => [3,1,1,1,1,1] => 0
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [3,2,4,5,6,1,7,8] => [3,1,1,1,1,1] => 0
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [2,3,4,5,6,1,7,8] => [2,1,1,1,1,1,1] => 0
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [6,5,4,3,1,2,7,8] => [1,6,5,4,3,2,7,8] => [5,1,1,1] => 0
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [5,6,4,3,1,2,7,8] => [1,5,6,4,3,2,7,8] => [4,1,1,1,1] => 0
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [6,4,5,3,1,2,7,8] => [1,4,6,5,3,2,7,8] => [4,1,1,1,1] => 0
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [5,4,6,3,1,2,7,8] => [1,5,4,6,3,2,7,8] => [4,1,1,1,1] => 0
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [4,5,6,3,1,2,7,8] => [1,4,5,6,3,2,7,8] => [3,1,1,1,1,1] => 0
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [5,6,3,4,1,2,7,8] => [1,3,5,6,4,2,7,8] => [3,1,1,1,1,1] => 0
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [5,4,3,6,1,2,7,8] => [1,5,4,3,6,2,7,8] => [4,1,1,1,1] => 0
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [4,5,3,6,1,2,7,8] => [1,4,5,3,6,2,7,8] => [3,1,1,1,1,1] => 0
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [5,3,4,6,1,2,7,8] => [1,3,5,4,6,2,7,8] => [3,1,1,1,1,1] => 0
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [4,3,5,6,1,2,7,8] => [1,4,3,5,6,2,7,8] => [3,1,1,1,1,1] => 0
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [3,4,5,6,1,2,7,8] => [1,3,4,5,6,2,7,8] => [2,1,1,1,1,1,1] => 0
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.] => [6,5,4,2,1,3,7,8] => [2,6,5,4,1,3,7,8] => [4,1,1,1,1] => 0
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [5,6,4,2,1,3,7,8] => [2,5,6,4,1,3,7,8] => [3,1,1,1,1,1] => 0
[[[[.,[.,.]],[[.,[.,.]],.]],.],.] => [5,4,6,2,1,3,7,8] => [2,5,4,6,1,3,7,8] => [3,1,1,1,1,1] => 0
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [4,5,6,2,1,3,7,8] => [2,4,5,6,1,3,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [1,2,6,5,4,3,7,8] => [4,1,1,1,1] => 0
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [5,6,4,1,2,3,7,8] => [1,2,5,6,4,3,7,8] => [3,1,1,1,1,1] => 0
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [6,4,5,1,2,3,7,8] => [1,2,4,6,5,3,7,8] => [3,1,1,1,1,1] => 0
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [4,5,6,1,2,3,7,8] => [1,2,4,5,6,3,7,8] => [2,1,1,1,1,1,1] => 0
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [6,5,3,2,1,4,7,8] => [3,6,5,2,1,4,7,8] => [4,1,1,1,1] => 0
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [5,6,3,2,1,4,7,8] => [3,5,6,2,1,4,7,8] => [3,1,1,1,1,1] => 0
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [5,6,2,3,1,4,7,8] => [2,3,5,6,1,4,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [6,5,3,1,2,4,7,8] => [1,3,6,5,2,4,7,8] => [3,1,1,1,1,1] => 0
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [5,6,3,1,2,4,7,8] => [1,3,5,6,2,4,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [5,6,2,1,3,4,7,8] => [2,1,5,6,3,4,7,8] => [2,2,1,1,1,1] => 1
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [6,5,1,2,3,4,7,8] => [1,2,3,6,5,4,7,8] => [3,1,1,1,1,1] => 0
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [5,6,1,2,3,4,7,8] => [1,2,3,5,6,4,7,8] => [2,1,1,1,1,1,1] => 0
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [6,3,2,4,1,5,7,8] => [3,2,6,4,1,5,7,8] => [3,2,1,1,1] => 1
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [6,2,3,4,1,5,7,8] => [2,3,4,6,1,5,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[.,.],[[.,.],.]],[.,.]],.],.] => [6,3,4,1,2,5,7,8] => [1,3,4,6,2,5,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [2,4,6,1,3,5,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [6,4,1,2,3,5,7,8] => [1,2,4,6,3,5,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [3,2,6,1,4,5,7,8] => [3,1,1,1,1,1] => 0
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [6,2,3,1,4,5,7,8] => [2,3,1,6,4,5,7,8] => [2,2,1,1,1,1] => 1
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [6,3,1,2,4,5,7,8] => [1,3,2,6,4,5,7,8] => [2,2,1,1,1,1] => 1
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [6,2,1,3,4,5,7,8] => [2,1,3,6,4,5,7,8] => [2,2,1,1,1,1] => 1
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [1,2,3,4,6,5,7,8] => [2,1,1,1,1,1,1] => 0
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => [5,1,1,1] => 0
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [4,5,3,2,1,6,7,8] => [4,1,1,1,1] => 0
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [3,5,4,2,1,6,7,8] => [4,1,1,1,1] => 0
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [4,3,5,2,1,6,7,8] => [4,1,1,1,1] => 0
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [3,4,5,2,1,6,7,8] => [3,1,1,1,1,1] => 0
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [2,5,4,3,1,6,7,8] => [4,1,1,1,1] => 0
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [4,5,2,3,1,6,7,8] => [2,4,5,3,1,6,7,8] => [3,1,1,1,1,1] => 0
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [3,5,2,4,1,6,7,8] => [3,1,1,1,1,1] => 0
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [5,2,3,4,1,6,7,8] => [2,3,5,4,1,6,7,8] => [3,1,1,1,1,1] => 0
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [4,3,2,5,1,6,7,8] => [4,1,1,1,1] => 0
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [3,4,2,5,1,6,7,8] => [3,1,1,1,1,1] => 0
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [4,2,3,5,1,6,7,8] => [2,4,3,5,1,6,7,8] => [3,1,1,1,1,1] => 0
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [3,2,4,5,1,6,7,8] => [3,1,1,1,1,1] => 0
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [2,3,4,5,1,6,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [5,4,3,1,2,6,7,8] => [1,5,4,3,2,6,7,8] => [4,1,1,1,1] => 0
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [4,5,3,1,2,6,7,8] => [1,4,5,3,2,6,7,8] => [3,1,1,1,1,1] => 0
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [5,3,4,1,2,6,7,8] => [1,3,5,4,2,6,7,8] => [3,1,1,1,1,1] => 0
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [3,4,5,1,2,6,7,8] => [1,3,4,5,2,6,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [5,4,2,1,3,6,7,8] => [2,5,4,1,3,6,7,8] => [3,1,1,1,1,1] => 0
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [4,5,2,1,3,6,7,8] => [2,4,5,1,3,6,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [1,2,5,4,3,6,7,8] => [3,1,1,1,1,1] => 0
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [5,3,2,1,4,6,7,8] => [3,5,2,1,4,6,7,8] => [3,1,1,1,1,1] => 0
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [5,2,3,1,4,6,7,8] => [2,3,5,1,4,6,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [5,3,1,2,4,6,7,8] => [1,3,5,2,4,6,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [5,2,1,3,4,6,7,8] => [2,1,5,3,4,6,7,8] => [2,2,1,1,1,1] => 1
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [4,1,1,1,1] => 0
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [3,4,2,1,5,6,7,8] => [3,1,1,1,1,1] => 0
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => [3,1,1,1,1,1] => 0
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => [3,1,1,1,1,1] => 0
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [4,3,1,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => [3,1,1,1,1,1] => 0
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [3,4,1,2,5,6,7,8] => [1,3,4,2,5,6,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [4,2,1,3,5,6,7,8] => [2,4,1,3,5,6,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [3,1,1,1,1,1] => 0
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [2,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,1,1,1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => [9] => 0
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [8,9,7,6,5,4,3,2,1] => [8,1] => 0
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [7,8,9,6,5,4,3,2,1] => [7,1,1] => 0
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [6,7,8,9,5,4,3,2,1] => [6,1,1,1] => 0
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [5,6,7,8,9,4,3,2,1] => [5,1,1,1,1] => 0
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [4,5,6,7,8,9,3,2,1] => [4,1,1,1,1,1] => 0
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [3,4,5,6,7,8,9,2,1] => [3,1,1,1,1,1,1] => 0
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,9,1] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,1,1,1,1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1] => [10] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [9,10,8,7,6,5,4,3,2,1] => [9,1] => 0
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [9,7,8,6,5,4,3,2,1] => [7,9,8,6,5,4,3,2,1] => [8,1] => 0
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [8,9,10,7,6,5,4,3,2,1] => [8,1,1] => 0
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [7,8,9,10,6,5,4,3,2,1] => [7,1,1,1] => 0
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [6,7,8,9,10,5,4,3,2,1] => [6,1,1,1,1] => 0
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [5,6,7,8,9,10,4,3,2,1] => [5,1,1,1,1,1] => 0
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]] => [5,6,7,8,9,3,4,2,1] => [3,5,6,7,8,9,4,2,1] => [4,1,1,1,1,1] => 0
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [4,5,6,7,8,9,10,3,2,1] => [4,1,1,1,1,1,1] => 0
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [3,4,5,6,7,8,9,10,2,1] => [3,1,1,1,1,1,1,1] => 0
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,1,2] => [1,3,4,5,6,7,8,9,2] => [2,1,1,1,1,1,1,1] => 0
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [2,3,4,5,6,7,8,9,10,1] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,1,1,1,1,1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [8,7,9,6,5,4,3,2,1] => [8,1] => 0
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [8,7,6,9,5,4,3,2,1] => [8,1] => 0
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [8,7,6,5,9,4,3,2,1] => [8,1] => 0
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [8,7,6,5,4,9,3,2,1] => [8,1] => 0
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [8,7,6,5,4,3,9,2,1] => [8,1] => 0
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [8,7,6,5,4,3,2,9,1] => [8,1] => 0
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1,9] => [8,1] => 0
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [9,8,10,7,6,5,4,3,2,1] => [9,1] => 0
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [8,6,7,9,5,4,3,2,1] => [6,8,7,9,5,4,3,2,1] => [7,1,1] => 0
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [9,8,7,10,6,5,4,3,2,1] => [9,1] => 0
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [8,7,5,6,9,4,3,2,1] => [5,8,7,6,9,4,3,2,1] => [7,1,1] => 0
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [9,8,7,6,10,5,4,3,2,1] => [9,1] => 0
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [8,7,6,4,5,9,3,2,1] => [4,8,7,6,5,9,3,2,1] => [7,1,1] => 0
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [9,8,7,6,5,10,4,3,2,1] => [9,1] => 0
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [8,7,6,5,3,4,9,2,1] => [3,8,7,6,5,4,9,2,1] => [7,1,1] => 0
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [9,8,7,6,5,4,10,3,2,1] => [9,1] => 0
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [8,7,6,5,4,2,3,9,1] => [2,8,7,6,5,4,3,9,1] => [7,1,1] => 0
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [9,8,7,6,5,4,3,10,2,1] => [9,1] => 0
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,3,1,2,9] => [1,8,7,6,5,4,3,2,9] => [7,1,1] => 0
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [9,8,7,6,5,4,3,2,10,1] => [9,1] => 0
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1,10] => [9,1] => 0
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [9,10,7,8,5,6,3,4,1,2] => [1,3,5,7,9,10,8,6,4,2] => [5,1,1,1,1,1] => 0
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [6,7,5,8,4,9,3,10,1,2] => [1,6,7,5,8,4,9,3,10,2] => [5,1,1,1,1,1] => 0
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [5,6,4,7,3,8,2,9,1,10] => [5,1,1,1,1,1] => 0
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [10,8,6,4,2,1,3,5,7,9] => [2,4,6,8,10,1,3,5,7,9] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [12,10,8,6,4,2,1,3,5,7,9,11] => [2,4,6,8,10,12,1,3,5,7,9,11] => [2,1,1,1,1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,9,8] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,10,9] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [9,2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,9,7,8] => [2,2,1,1,1,1,1] => 1
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [3,2,4,5,6,7,8,9,1] => [3,1,1,1,1,1,1] => 0
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [11,1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,11,10] => [2,1,1,1,1,1,1,1,1,1] => 0
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [10,2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,10,8,9] => [2,2,1,1,1,1,1,1] => 1
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [9,3,1,2,4,5,6,7,8] => [1,3,2,4,5,6,9,7,8] => [2,2,1,1,1,1,1] => 1
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [9,2,3,1,4,5,6,7,8] => [2,3,1,4,5,6,9,7,8] => [2,2,1,1,1,1,1] => 1
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [4,2,3,5,6,7,8,9,1] => [2,4,3,5,6,7,8,9,1] => [3,1,1,1,1,1,1] => 0
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [3,4,2,5,6,7,8,9,1] => [3,1,1,1,1,1,1] => 0
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [3,2,4,5,6,7,8,9,10,1] => [3,1,1,1,1,1,1,1] => 0
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [2,3,4,5,6,7,8,9,10,11,1] => [2,1,1,1,1,1,1,1,1,1] => 0
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [1,2,3,4,5,6,8,9,7] => [2,1,1,1,1,1,1,1] => 0
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [7,8,9,1,2,3,4,5,6] => [1,2,3,4,5,7,8,9,6] => [2,1,1,1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [6,7,8,9,1,2,3,4,5] => [1,2,3,4,6,7,8,9,5] => [2,1,1,1,1,1,1,1] => 0
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [5,6,7,8,9,1,2,3,4] => [1,2,3,5,6,7,8,9,4] => [2,1,1,1,1,1,1,1] => 0
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,1,2,3] => [1,2,4,5,6,7,8,9,3] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,9,8,7] => [3,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,9,10,8] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [8,7,9,1,2,3,4,5,6] => [1,2,3,4,5,8,7,9,6] => [3,1,1,1,1,1,1] => 0
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [8,9,10,1,2,3,4,5,6,7] => [1,2,3,4,5,6,8,9,10,7] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [7,6,8,9,1,2,3,4,5] => [1,2,3,4,7,6,8,9,5] => [3,1,1,1,1,1,1] => 0
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [7,8,9,10,1,2,3,4,5,6] => [1,2,3,4,5,7,8,9,10,6] => [2,1,1,1,1,1,1,1,1] => 0
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [6,5,7,8,9,1,2,3,4] => [1,2,3,6,5,7,8,9,4] => [3,1,1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [6,7,8,9,10,1,2,3,4,5] => [1,2,3,4,6,7,8,9,10,5] => [2,1,1,1,1,1,1,1,1] => 0
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [5,4,6,7,8,9,1,2,3] => [1,2,5,4,6,7,8,9,3] => [3,1,1,1,1,1,1] => 0
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [5,6,7,8,9,10,1,2,3,4] => [1,2,3,5,6,7,8,9,10,4] => [2,1,1,1,1,1,1,1,1] => 0
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [4,3,5,6,7,8,9,1,2] => [1,4,3,5,6,7,8,9,2] => [3,1,1,1,1,1,1] => 0
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [4,5,6,7,8,9,10,1,2,3] => [1,2,4,5,6,7,8,9,10,3] => [2,1,1,1,1,1,1,1,1] => 0
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [3,4,5,6,7,8,9,10,1,2] => [1,3,4,5,6,7,8,9,10,2] => [2,1,1,1,1,1,1,1,1] => 0
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,3,1,2] => [1,9,8,7,6,5,4,3,2] => [8,1] => 0
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [7,8,6,5,4,3,2,1,9] => [7,1,1] => 0
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,3,1,2] => [1,10,9,8,7,6,5,4,3,2] => [9,1] => 0
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => [10,1] => 0
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [8,9,7,6,5,4,3,2,1,10] => [8,1,1] => 0
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [7,6,8,5,4,3,2,1,9] => [7,1,1] => 0
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [11,10,9,8,7,6,5,4,3,1,2] => [1,11,10,9,8,7,6,5,4,3,2] => [10,1] => 0
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [6,5,7,4,8,3,9,2,10,1] => [6,1,1,1,1] => 0
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [7,6,8,5,9,4,10,3,11,2,12,1] => [7,1,1,1,1,1] => 0
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,2,1,3] => [2,9,8,7,6,5,4,1,3] => [7,1,1] => 0
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [9,8,7,5,4,3,2,1,6] => [5,9,8,7,4,3,2,1,6] => [7,1,1] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [9,8,6,5,4,3,2,1,7] => [6,9,8,5,4,3,2,1,7] => [7,1,1] => 0
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [9,7,6,5,4,3,2,1,8] => [7,9,6,5,4,3,2,1,8] => [7,1,1] => 0
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [9,8,7,6,5,4,1,2,3] => [1,2,9,8,7,6,5,4,3] => [7,1,1] => 0
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,2,1,3] => [2,10,9,8,7,6,5,4,1,3] => [8,1,1] => 0
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [10,9,7,6,5,4,3,2,1,8] => [7,10,9,6,5,4,3,2,1,8] => [8,1,1] => 0
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [10,8,7,6,5,4,3,2,1,9] => [8,10,7,6,5,4,3,2,1,9] => [8,1,1] => 0
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8,9] => [7,1,1] => 0
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => [6,1,1,1] => 0
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => [5,1,1,1,1] => 0
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [4,1,1,1,1,1] => 0
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [3,1,1,1,1,1,1] => 0
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => 0
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => [8,1,1] => 0
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => [7,1,1,1] => 0
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => [6,1,1,1,1] => 0
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => [5,1,1,1,1,1] => 0
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => [4,1,1,1,1,1,1] => 0
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [4,3,1,2,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => [3,1,1,1,1,1,1] => 0
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [3,1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 0
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] => [9,8,7,5,6,4,3,2,1] => [5,9,8,7,6,4,3,2,1] => [8,1] => 0
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,4,5,3,2,1] => [4,9,8,7,6,5,3,2,1] => [8,1] => 0
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,3,4,2,1] => [3,9,8,7,6,5,4,2,1] => [8,1] => 0
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [9,8,7,6,5,4,2,3,1] => [2,9,8,7,6,5,4,3,1] => [8,1] => 0
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] => [10,8,9,7,6,5,4,3,2,1] => [8,10,9,7,6,5,4,3,2,1] => [9,1] => 0
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [10,9,8,6,7,5,4,3,2,1] => [6,10,9,8,7,5,4,3,2,1] => [9,1] => 0
[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,5,6,4,3,2,1] => [5,10,9,8,7,6,4,3,2,1] => [9,1] => 0
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [10,9,8,7,6,5,4,2,3,1] => [2,10,9,8,7,6,5,4,3,1] => [9,1] => 0
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [9,2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,9,8,1] => [3,1,1,1,1,1,1] => 0
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,1,1,1,1,1,1,1,1] => 0
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [8,2,1,3,4,5,6,7,9] => [2,1,3,4,5,8,6,7,9] => [2,2,1,1,1,1,1] => 1
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]] => [8,2,3,4,5,6,7,9,1] => [2,3,4,5,6,8,7,9,1] => [3,1,1,1,1,1,1] => 0
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [8,9,2,3,4,5,6,7,1] => [2,3,4,5,6,8,9,7,1] => [3,1,1,1,1,1,1] => 0
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [10,2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,10,9,1] => [3,1,1,1,1,1,1,1] => 0
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [4,2,1,3,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => 0
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [3,4,5,6,7,8,2,9,1] => [3,1,1,1,1,1,1] => 0
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [2,3,4,5,6,7,8,1,9] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => 0
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.] => [2,3,4,5,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [2,1,1,1,1,1,1,1] => 0
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [2,3,4,5,6,7,1,8,9] => [2,1,1,1,1,1,1,1] => 0
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [4,2,3,1,5,6,7,8,9] => [2,4,3,1,5,6,7,8,9] => [3,1,1,1,1,1,1] => 0
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [8,2,3,4,5,6,7,1,9] => [2,3,4,5,6,8,7,1,9] => [3,1,1,1,1,1,1] => 0
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [2,3,4,5,6,7,8,9,1,10] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [1,2,3,4,6,5,7,8,9] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [1,2,3,4,5,7,6,8,9] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [1,2,3,4,5,6,8,7,9] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [1,2,4,3,5,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [1,2,3,5,4,6,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [1,2,3,4,5,6,8,7,9,10] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [1,2,3,4,5,6,7,9,8,10] => [2,1,1,1,1,1,1,1,1] => 0
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [9,3,4,5,6,7,8,1,2] => [1,3,4,5,6,7,9,8,2] => [3,1,1,1,1,1,1] => 0
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [9,7,6,5,4,3,2,8,1] => [7,9,6,5,4,3,2,8,1] => [7,1,1] => 0
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1] => [6,5,4,3,2,7,8,9,1] => [6,1,1,1] => 0
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [1,1,1,1,1,1,1,1,1,1,1] => 0
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [10,9,8,7,6,5,4,1,2,3] => [1,2,10,9,8,7,6,5,4,3] => [8,1,1] => 0
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [9,8,7,6,5,4,3,1,2,10] => [1,9,8,7,6,5,4,3,2,10] => [8,1,1] => 0
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.] => [3,4,5,1,2,6,7,8,9] => [1,3,4,5,2,6,7,8,9] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [4,5,1,2,3,6,7,8,9] => [1,2,4,5,3,6,7,8,9] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],.],.],[[.,.],.]],.],.] => [7,8,1,2,3,4,5,6,9,10] => [1,2,3,4,5,7,8,6,9,10] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[[[.,.],.],.],.],.],[[[.,.],.],.]],.] => [7,8,9,1,2,3,4,5,6,10] => [1,2,3,4,5,7,8,9,6,10] => [2,1,1,1,1,1,1,1,1] => 0
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [5,3,1,2,4,6,7,8,9] => [1,3,5,2,4,6,7,8,9] => [2,1,1,1,1,1,1,1] => 0
[.,[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]] => [6,2,3,4,5,7,8,9,10,1] => [2,3,4,6,5,7,8,9,10,1] => [3,1,1,1,1,1,1,1] => 0
[[.,.],[.,[[[[[[.,.],.],.],.],.],.]]] => [4,5,6,7,8,9,3,1,2] => [1,4,5,6,7,8,9,3,2] => [3,1,1,1,1,1,1] => 0
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [4,5,6,7,8,9,2,1,3] => [2,4,5,6,7,8,9,1,3] => [2,1,1,1,1,1,1,1] => 0
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [3,4,5,6,7,8,1,2,9] => [1,3,4,5,6,7,8,2,9] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,10,9,8] => [3,1,1,1,1,1,1,1] => 0
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => [6,7,8,5,4,3,2,1,9] => [6,1,1,1] => 0
[[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.] => [6,5,4,3,2,7,8,1,9] => [6,5,4,3,2,7,8,1,9] => [6,1,1,1] => 0
[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [7,8,9,6,5,4,3,2,1,10] => [7,8,9,6,5,4,3,2,1,10] => [7,1,1,1] => 0
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] => [10,9,8,7,6,5,4,3,2,11,1] => [10,9,8,7,6,5,4,3,2,11,1] => [10,1] => 0
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [9,8,7,1,2,3,4,5,6] => [1,2,3,4,5,9,8,7,6] => [4,1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [9,8,7,6,1,2,3,4,5] => [1,2,3,4,9,8,7,6,5] => [5,1,1,1,1] => 0
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [9,8,7,6,5,1,2,3,4] => [1,2,3,9,8,7,6,5,4] => [6,1,1,1] => 0
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [9,7,1,2,3,4,5,6,8] => [1,2,3,4,5,7,9,6,8] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [10,9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,10,9,8,7] => [4,1,1,1,1,1,1] => 0
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [10,9,8,7,1,2,3,4,5,6] => [1,2,3,4,5,10,9,8,7,6] => [5,1,1,1,1,1] => 0
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [10,9,8,7,6,1,2,3,4,5] => [1,2,3,4,10,9,8,7,6,5] => [6,1,1,1,1] => 0
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [10,9,8,7,6,5,1,2,3,4] => [1,2,3,10,9,8,7,6,5,4] => [7,1,1,1] => 0
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.] => [3,2,4,1,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => [3,1,1,1,1,1,1] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [10,11,9,8,7,6,5,4,3,2,1] => [10,1] => 0
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => [3,1,1,1,1,1,1] => 0
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [7,6,5,4,3,2,8,1,9] => [7,1,1] => 0
[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.] => [6,5,4,3,2,7,1,8,9] => [6,5,4,3,2,7,1,8,9] => [6,1,1,1] => 0
[[[[.,[[.,[.,[.,[.,.]]]],.]],.],.],.] => [5,4,3,2,6,1,7,8,9] => [5,4,3,2,6,1,7,8,9] => [5,1,1,1,1] => 0
[[[[[.,[[.,[.,[.,.]]],.]],.],.],.],.] => [4,3,2,5,1,6,7,8,9] => [4,3,2,5,1,6,7,8,9] => [4,1,1,1,1,1] => 0
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [4,5,3,2,1,6,7,8,9] => [4,5,3,2,1,6,7,8,9] => [4,1,1,1,1,1] => 0
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [3,2,4,5,6,7,8,1,9] => [3,1,1,1,1,1,1] => 0
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [8,7,6,5,4,2,3,1,9] => [2,8,7,6,5,4,3,1,9] => [7,1,1] => 0
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [9,2,3,4,5,6,7,1,8] => [2,3,4,5,6,7,9,1,8] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [3,4,1,2,5,6,7,8,9] => [1,3,4,2,5,6,7,8,9] => [2,1,1,1,1,1,1,1] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] => [10,11,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,10,11,9] => [2,1,1,1,1,1,1,1,1,1] => 0
[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]] => [9,8,2,3,4,5,6,7,1] => [2,3,4,5,6,9,8,7,1] => [4,1,1,1,1,1] => 0
[.,[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]] => [10,9,2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,10,9,8,1] => [4,1,1,1,1,1,1] => 0
[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.] => [3,4,5,6,7,8,2,1,9] => [3,4,5,6,7,8,2,1,9] => [3,1,1,1,1,1,1] => 0
[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] => [9,2,3,4,5,6,1,7,8] => [2,3,4,5,6,1,9,7,8] => [2,2,1,1,1,1,1] => 1
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [6,7,5,4,3,2,1,8,9] => [6,7,5,4,3,2,1,8,9] => [6,1,1,1] => 0
[[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]] => [9,8,2,3,4,5,6,1,7] => [2,3,4,5,6,9,8,1,7] => [3,1,1,1,1,1,1] => 0
[[[[[.,[.,[[[.,.],.],.]]],.],.],.],.] => [3,4,5,2,1,6,7,8,9] => [3,4,5,2,1,6,7,8,9] => [3,1,1,1,1,1,1] => 0
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
41,1 124,8 384,45
$F_{1} = 1$
$F_{2} = 2$
$F_{3} = 5$
$F_{4} = 14$
$F_{5} = 41 + q$
$F_{6} = 124 + 8\ q$
$F_{7} = 384 + 45\ q$
Description
The size of a partition minus the hook length of the base cell.
This is, the number of boxes in the diagram of a partition that are neither in the first row nor in the first column.
This is, the number of boxes in the diagram of a partition that are neither in the first row nor in the first column.
Map
LLPS
Description
The Lewis-Lyu-Pylyavskyy-Sen shape of a permutation.
An ascent in a sequence $u = (u_1, u_2, \ldots)$ is an index $i$ such that $u_i < u_{i+1}$. Let $\mathrm{asc}(u)$ denote the number of ascents of $u$, and let
$$\mathrm{asc}^{*}(u) := \begin{cases} 0 &\textrm{if u is empty}, \\ 1 + \mathrm{asc}(u) &\textrm{otherwise}.\end{cases}$$
Given a permutation $w$ in the symmetric group $\mathfrak{S}_n$, define
$A'_k := \max_{u_1, \ldots, u_k} (\mathrm{asc}^{*}(u_1) + \cdots + \mathrm{asc}^{*}(u_k))$
where the maximum is taken over disjoint subsequences ${u_i}$ of $w$.
Then $A'_1, A'_2-A'_1, A'_3-A'_2,\dots$ is a partition of $n$. Its conjugate is the Lewis-Lyu-Pylyavskyy-Sen shape of a permutation.
An ascent in a sequence $u = (u_1, u_2, \ldots)$ is an index $i$ such that $u_i < u_{i+1}$. Let $\mathrm{asc}(u)$ denote the number of ascents of $u$, and let
$$\mathrm{asc}^{*}(u) := \begin{cases} 0 &\textrm{if u is empty}, \\ 1 + \mathrm{asc}(u) &\textrm{otherwise}.\end{cases}$$
Given a permutation $w$ in the symmetric group $\mathfrak{S}_n$, define
$A'_k := \max_{u_1, \ldots, u_k} (\mathrm{asc}^{*}(u_1) + \cdots + \mathrm{asc}^{*}(u_k))$
where the maximum is taken over disjoint subsequences ${u_i}$ of $w$.
Then $A'_1, A'_2-A'_1, A'_3-A'_2,\dots$ is a partition of $n$. Its conjugate is the Lewis-Lyu-Pylyavskyy-Sen shape of a permutation.
Map
Foata bijection
Description
Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
- If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
- If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
- $1$
- $|1|4 \to 14$
- $|14|2 \to 412$
- $|4|1|2|5 \to 4125$
- $|4|125|3 \to 45123.$
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
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