Identifier
-
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00175: Permutations —inverse Foata bijection⟶ Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
St000008: Integer compositions ⟶ ℤ
Values
[.,.] => [1] => [1] => [1] => 0
[.,[.,.]] => [2,1] => [2,1] => [1,1] => 1
[[.,.],.] => [1,2] => [1,2] => [2] => 0
[.,[.,[.,.]]] => [3,2,1] => [3,2,1] => [1,1,1] => 3
[.,[[.,.],.]] => [2,3,1] => [2,3,1] => [2,1] => 2
[[.,.],[.,.]] => [1,3,2] => [3,1,2] => [1,2] => 1
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [1,2] => 1
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [3] => 0
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,3,2,1] => [1,1,1,1] => 6
[.,[.,[[.,.],.]]] => [3,4,2,1] => [3,4,2,1] => [2,1,1] => 5
[.,[[.,.],[.,.]]] => [2,4,3,1] => [4,2,3,1] => [1,2,1] => 4
[.,[[.,[.,.]],.]] => [3,2,4,1] => [3,2,4,1] => [1,2,1] => 4
[.,[[[.,.],.],.]] => [2,3,4,1] => [2,3,4,1] => [3,1] => 3
[[.,.],[.,[.,.]]] => [1,4,3,2] => [4,3,1,2] => [1,1,2] => 3
[[.,.],[[.,.],.]] => [1,3,4,2] => [3,4,1,2] => [2,2] => 2
[[.,[.,.]],[.,.]] => [2,1,4,3] => [2,4,1,3] => [2,2] => 2
[[[.,.],.],[.,.]] => [1,2,4,3] => [4,1,2,3] => [1,3] => 1
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => [1,1,2] => 3
[[.,[[.,.],.]],.] => [2,3,1,4] => [2,3,1,4] => [2,2] => 2
[[[.,.],[.,.]],.] => [1,3,2,4] => [3,1,2,4] => [1,3] => 1
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [1,3] => 1
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [4] => 0
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,4,3,2,1] => [1,1,1,1,1] => 10
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [4,5,3,2,1] => [2,1,1,1] => 9
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [5,3,4,2,1] => [1,2,1,1] => 8
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [4,3,5,2,1] => [1,2,1,1] => 8
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,4,5,2,1] => [3,1,1] => 7
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [5,4,2,3,1] => [1,1,2,1] => 7
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [4,5,2,3,1] => [2,2,1] => 6
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [3,5,2,4,1] => [2,2,1] => 6
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [5,2,3,4,1] => [1,3,1] => 5
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [4,3,2,5,1] => [1,1,2,1] => 7
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [3,4,2,5,1] => [2,2,1] => 6
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [4,2,3,5,1] => [1,3,1] => 5
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [3,2,4,5,1] => [1,3,1] => 5
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [2,3,4,5,1] => [4,1] => 4
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [5,4,3,1,2] => [1,1,1,2] => 6
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [4,5,3,1,2] => [2,1,2] => 5
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [5,3,4,1,2] => [1,2,2] => 4
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [4,3,5,1,2] => [1,2,2] => 4
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [3,4,5,1,2] => [3,2] => 3
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [5,2,4,1,3] => [1,2,2] => 4
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [2,4,5,1,3] => [3,2] => 3
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [5,4,1,2,3] => [1,1,3] => 3
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [4,5,1,2,3] => [2,3] => 2
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [3,2,5,1,4] => [1,2,2] => 4
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [2,3,5,1,4] => [3,2] => 3
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [3,5,1,2,4] => [2,3] => 2
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [2,5,1,3,4] => [2,3] => 2
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [5,1,2,3,4] => [1,4] => 1
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1,5] => [1,1,1,2] => 6
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [3,4,2,1,5] => [2,1,2] => 5
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [4,2,3,1,5] => [1,2,2] => 4
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [3,2,4,1,5] => [1,2,2] => 4
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [2,3,4,1,5] => [3,2] => 3
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [4,3,1,2,5] => [1,1,3] => 3
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [3,4,1,2,5] => [2,3] => 2
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [2,4,1,3,5] => [2,3] => 2
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [4,1,2,3,5] => [1,4] => 1
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4,5] => [1,1,3] => 3
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [2,3,1,4,5] => [2,3] => 2
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [3,1,2,4,5] => [1,4] => 1
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => [1,4] => 1
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [5] => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => [1,1,1,1,1,1] => 15
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [5,6,4,3,2,1] => [2,1,1,1,1] => 14
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [6,4,5,3,2,1] => [1,2,1,1,1] => 13
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [5,4,6,3,2,1] => [1,2,1,1,1] => 13
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [4,5,6,3,2,1] => [3,1,1,1] => 12
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => [1,1,2,1,1] => 12
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [5,6,3,4,2,1] => [2,2,1,1] => 11
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [4,6,3,5,2,1] => [2,2,1,1] => 11
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [6,3,4,5,2,1] => [1,3,1,1] => 10
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [5,4,3,6,2,1] => [1,1,2,1,1] => 12
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [4,5,3,6,2,1] => [2,2,1,1] => 11
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [5,3,4,6,2,1] => [1,3,1,1] => 10
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [4,3,5,6,2,1] => [1,3,1,1] => 10
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => [4,1,1] => 9
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [6,5,4,2,3,1] => [1,1,1,2,1] => 11
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [5,6,4,2,3,1] => [2,1,2,1] => 10
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [6,4,5,2,3,1] => [1,2,2,1] => 9
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [5,4,6,2,3,1] => [1,2,2,1] => 9
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [4,5,6,2,3,1] => [3,2,1] => 8
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [6,3,5,2,4,1] => [1,2,2,1] => 9
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [3,5,6,2,4,1] => [3,2,1] => 8
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [6,5,2,3,4,1] => [1,1,3,1] => 8
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [5,6,2,3,4,1] => [2,3,1] => 7
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [4,3,6,2,5,1] => [1,2,2,1] => 9
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [3,4,6,2,5,1] => [3,2,1] => 8
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [4,6,2,3,5,1] => [2,3,1] => 7
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [3,6,2,4,5,1] => [2,3,1] => 7
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [6,2,3,4,5,1] => [1,4,1] => 6
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [5,4,3,2,6,1] => [1,1,1,2,1] => 11
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [4,5,3,2,6,1] => [2,1,2,1] => 10
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [5,3,4,2,6,1] => [1,2,2,1] => 9
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [4,3,5,2,6,1] => [1,2,2,1] => 9
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => [3,2,1] => 8
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [5,4,2,3,6,1] => [1,1,3,1] => 8
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [4,5,2,3,6,1] => [2,3,1] => 7
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [3,5,2,4,6,1] => [2,3,1] => 7
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [5,2,3,4,6,1] => [1,4,1] => 6
>>> Load all 1924 entries. <<<[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [4,3,2,5,6,1] => [1,1,3,1] => 8
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => [2,3,1] => 7
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [4,2,3,5,6,1] => [1,4,1] => 6
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => [1,4,1] => 6
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => [5,1] => 5
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [6,5,4,3,1,2] => [1,1,1,1,2] => 10
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [5,6,4,3,1,2] => [2,1,1,2] => 9
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [6,4,5,3,1,2] => [1,2,1,2] => 8
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [5,4,6,3,1,2] => [1,2,1,2] => 8
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [4,5,6,3,1,2] => [3,1,2] => 7
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [6,5,3,4,1,2] => [1,1,2,2] => 7
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [5,6,3,4,1,2] => [2,2,2] => 6
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [4,6,3,5,1,2] => [2,2,2] => 6
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [6,3,4,5,1,2] => [1,3,2] => 5
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [5,4,3,6,1,2] => [1,1,2,2] => 7
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [4,5,3,6,1,2] => [2,2,2] => 6
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [5,3,4,6,1,2] => [1,3,2] => 5
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [4,3,5,6,1,2] => [1,3,2] => 5
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [3,4,5,6,1,2] => [4,2] => 4
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [6,5,2,4,1,3] => [1,1,2,2] => 7
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [5,6,2,4,1,3] => [2,2,2] => 6
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [6,2,4,5,1,3] => [1,3,2] => 5
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [5,2,4,6,1,3] => [1,3,2] => 5
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [2,4,5,6,1,3] => [4,2] => 4
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [6,5,4,1,2,3] => [1,1,1,3] => 6
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [5,6,4,1,2,3] => [2,1,3] => 5
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [6,4,5,1,2,3] => [1,2,3] => 4
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [5,4,6,1,2,3] => [1,2,3] => 4
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [4,5,6,1,2,3] => [3,3] => 3
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [3,6,2,5,1,4] => [2,2,2] => 6
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [3,2,5,6,1,4] => [1,3,2] => 5
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [6,2,3,5,1,4] => [1,3,2] => 5
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [2,3,5,6,1,4] => [4,2] => 4
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [6,3,5,1,2,4] => [1,2,3] => 4
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [3,5,6,1,2,4] => [3,3] => 3
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [6,2,5,1,3,4] => [1,2,3] => 4
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [2,5,6,1,3,4] => [3,3] => 3
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [6,5,1,2,3,4] => [1,1,4] => 3
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [5,6,1,2,3,4] => [2,4] => 2
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [4,3,2,6,1,5] => [1,1,2,2] => 7
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [3,4,2,6,1,5] => [2,2,2] => 6
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [4,2,3,6,1,5] => [1,3,2] => 5
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [3,2,4,6,1,5] => [1,3,2] => 5
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [2,3,4,6,1,5] => [4,2] => 4
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [4,3,6,1,2,5] => [1,2,3] => 4
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [3,4,6,1,2,5] => [3,3] => 3
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [2,4,6,1,3,5] => [3,3] => 3
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [4,6,1,2,3,5] => [2,4] => 2
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [3,2,6,1,4,5] => [1,2,3] => 4
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [2,3,6,1,4,5] => [3,3] => 3
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [3,6,1,2,4,5] => [2,4] => 2
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [2,6,1,3,4,5] => [2,4] => 2
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => [1,5] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => [1,1,1,1,2] => 10
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [4,5,3,2,1,6] => [2,1,1,2] => 9
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [5,3,4,2,1,6] => [1,2,1,2] => 8
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [4,3,5,2,1,6] => [1,2,1,2] => 8
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => [3,1,2] => 7
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [5,4,2,3,1,6] => [1,1,2,2] => 7
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [4,5,2,3,1,6] => [2,2,2] => 6
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [3,5,2,4,1,6] => [2,2,2] => 6
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [5,2,3,4,1,6] => [1,3,2] => 5
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [4,3,2,5,1,6] => [1,1,2,2] => 7
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => [2,2,2] => 6
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [4,2,3,5,1,6] => [1,3,2] => 5
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => [1,3,2] => 5
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => [4,2] => 4
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [5,4,3,1,2,6] => [1,1,1,3] => 6
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [4,5,3,1,2,6] => [2,1,3] => 5
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [5,3,4,1,2,6] => [1,2,3] => 4
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [4,3,5,1,2,6] => [1,2,3] => 4
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [3,4,5,1,2,6] => [3,3] => 3
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [5,2,4,1,3,6] => [1,2,3] => 4
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [2,4,5,1,3,6] => [3,3] => 3
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [5,4,1,2,3,6] => [1,1,4] => 3
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [4,5,1,2,3,6] => [2,4] => 2
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [3,2,5,1,4,6] => [1,2,3] => 4
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [2,3,5,1,4,6] => [3,3] => 3
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [3,5,1,2,4,6] => [2,4] => 2
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [2,5,1,3,4,6] => [2,4] => 2
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => [1,5] => 1
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => [1,1,1,3] => 6
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => [2,1,3] => 5
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [4,2,3,1,5,6] => [1,2,3] => 4
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => [1,2,3] => 4
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => [3,3] => 3
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [4,3,1,2,5,6] => [1,1,4] => 3
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [3,4,1,2,5,6] => [2,4] => 2
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [2,4,1,3,5,6] => [2,4] => 2
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => [1,5] => 1
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [1,1,4] => 3
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => [2,4] => 2
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => [1,5] => 1
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [1,5] => 1
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6] => 0
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1] => 21
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [6,7,5,4,3,2,1] => [2,1,1,1,1,1] => 20
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [7,5,6,4,3,2,1] => [1,2,1,1,1,1] => 19
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [6,5,7,4,3,2,1] => [1,2,1,1,1,1] => 19
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [5,6,7,4,3,2,1] => [3,1,1,1,1] => 18
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [7,6,4,5,3,2,1] => [1,1,2,1,1,1] => 18
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [6,7,4,5,3,2,1] => [2,2,1,1,1] => 17
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [5,7,4,6,3,2,1] => [2,2,1,1,1] => 17
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [7,4,5,6,3,2,1] => [1,3,1,1,1] => 16
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [6,5,4,7,3,2,1] => [1,1,2,1,1,1] => 18
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [5,6,4,7,3,2,1] => [2,2,1,1,1] => 17
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [6,4,5,7,3,2,1] => [1,3,1,1,1] => 16
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [5,4,6,7,3,2,1] => [1,3,1,1,1] => 16
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,5,6,7,3,2,1] => [4,1,1,1] => 15
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [7,6,5,3,4,2,1] => [1,1,1,2,1,1] => 17
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [6,7,5,3,4,2,1] => [2,1,2,1,1] => 16
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [7,5,6,3,4,2,1] => [1,2,2,1,1] => 15
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [6,5,7,3,4,2,1] => [1,2,2,1,1] => 15
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [5,6,7,3,4,2,1] => [3,2,1,1] => 14
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [7,4,6,3,5,2,1] => [1,2,2,1,1] => 15
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [4,6,7,3,5,2,1] => [3,2,1,1] => 14
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [7,6,3,4,5,2,1] => [1,1,3,1,1] => 14
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [6,7,3,4,5,2,1] => [2,3,1,1] => 13
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [5,4,7,3,6,2,1] => [1,2,2,1,1] => 15
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [4,5,7,3,6,2,1] => [3,2,1,1] => 14
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [5,7,3,4,6,2,1] => [2,3,1,1] => 13
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [4,7,3,5,6,2,1] => [2,3,1,1] => 13
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [7,3,4,5,6,2,1] => [1,4,1,1] => 12
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [6,5,4,3,7,2,1] => [1,1,1,2,1,1] => 17
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [5,6,4,3,7,2,1] => [2,1,2,1,1] => 16
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [6,4,5,3,7,2,1] => [1,2,2,1,1] => 15
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [5,4,6,3,7,2,1] => [1,2,2,1,1] => 15
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [4,5,6,3,7,2,1] => [3,2,1,1] => 14
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [6,5,3,4,7,2,1] => [1,1,3,1,1] => 14
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [5,6,3,4,7,2,1] => [2,3,1,1] => 13
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [4,6,3,5,7,2,1] => [2,3,1,1] => 13
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [6,3,4,5,7,2,1] => [1,4,1,1] => 12
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [5,4,3,6,7,2,1] => [1,1,3,1,1] => 14
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [4,5,3,6,7,2,1] => [2,3,1,1] => 13
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [5,3,4,6,7,2,1] => [1,4,1,1] => 12
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [4,3,5,6,7,2,1] => [1,4,1,1] => 12
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [3,4,5,6,7,2,1] => [5,1,1] => 11
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [7,6,5,4,2,3,1] => [1,1,1,1,2,1] => 16
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [6,7,5,4,2,3,1] => [2,1,1,2,1] => 15
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [7,5,6,4,2,3,1] => [1,2,1,2,1] => 14
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [6,5,7,4,2,3,1] => [1,2,1,2,1] => 14
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [5,6,7,4,2,3,1] => [3,1,2,1] => 13
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [7,6,4,5,2,3,1] => [1,1,2,2,1] => 13
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [6,7,4,5,2,3,1] => [2,2,2,1] => 12
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [5,7,4,6,2,3,1] => [2,2,2,1] => 12
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [7,4,5,6,2,3,1] => [1,3,2,1] => 11
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [6,5,4,7,2,3,1] => [1,1,2,2,1] => 13
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [5,6,4,7,2,3,1] => [2,2,2,1] => 12
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [6,4,5,7,2,3,1] => [1,3,2,1] => 11
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [5,4,6,7,2,3,1] => [1,3,2,1] => 11
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [4,5,6,7,2,3,1] => [4,2,1] => 10
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [7,6,3,5,2,4,1] => [1,1,2,2,1] => 13
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [6,7,3,5,2,4,1] => [2,2,2,1] => 12
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [7,3,5,6,2,4,1] => [1,3,2,1] => 11
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [6,3,5,7,2,4,1] => [1,3,2,1] => 11
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [3,5,6,7,2,4,1] => [4,2,1] => 10
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [7,6,5,2,3,4,1] => [1,1,1,3,1] => 12
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [6,7,5,2,3,4,1] => [2,1,3,1] => 11
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [7,5,6,2,3,4,1] => [1,2,3,1] => 10
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [6,5,7,2,3,4,1] => [1,2,3,1] => 10
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [5,6,7,2,3,4,1] => [3,3,1] => 9
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [4,7,3,6,2,5,1] => [2,2,2,1] => 12
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [4,3,6,7,2,5,1] => [1,3,2,1] => 11
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [7,3,4,6,2,5,1] => [1,3,2,1] => 11
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [3,4,6,7,2,5,1] => [4,2,1] => 10
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [7,4,6,2,3,5,1] => [1,2,3,1] => 10
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [4,6,7,2,3,5,1] => [3,3,1] => 9
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [7,3,6,2,4,5,1] => [1,2,3,1] => 10
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [3,6,7,2,4,5,1] => [3,3,1] => 9
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [7,6,2,3,4,5,1] => [1,1,4,1] => 9
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [6,7,2,3,4,5,1] => [2,4,1] => 8
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [5,4,3,7,2,6,1] => [1,1,2,2,1] => 13
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [4,5,3,7,2,6,1] => [2,2,2,1] => 12
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [5,3,4,7,2,6,1] => [1,3,2,1] => 11
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [4,3,5,7,2,6,1] => [1,3,2,1] => 11
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [3,4,5,7,2,6,1] => [4,2,1] => 10
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [5,4,7,2,3,6,1] => [1,2,3,1] => 10
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [4,5,7,2,3,6,1] => [3,3,1] => 9
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [3,5,7,2,4,6,1] => [3,3,1] => 9
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [5,7,2,3,4,6,1] => [2,4,1] => 8
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [4,3,7,2,5,6,1] => [1,2,3,1] => 10
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [3,4,7,2,5,6,1] => [3,3,1] => 9
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [4,7,2,3,5,6,1] => [2,4,1] => 8
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [3,7,2,4,5,6,1] => [2,4,1] => 8
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [7,2,3,4,5,6,1] => [1,5,1] => 7
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [6,5,4,3,2,7,1] => [1,1,1,1,2,1] => 16
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [5,6,4,3,2,7,1] => [2,1,1,2,1] => 15
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [6,4,5,3,2,7,1] => [1,2,1,2,1] => 14
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [5,4,6,3,2,7,1] => [1,2,1,2,1] => 14
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [4,5,6,3,2,7,1] => [3,1,2,1] => 13
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [6,5,3,4,2,7,1] => [1,1,2,2,1] => 13
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [5,6,3,4,2,7,1] => [2,2,2,1] => 12
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [4,6,3,5,2,7,1] => [2,2,2,1] => 12
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [6,3,4,5,2,7,1] => [1,3,2,1] => 11
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [5,4,3,6,2,7,1] => [1,1,2,2,1] => 13
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [4,5,3,6,2,7,1] => [2,2,2,1] => 12
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [5,3,4,6,2,7,1] => [1,3,2,1] => 11
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [4,3,5,6,2,7,1] => [1,3,2,1] => 11
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [3,4,5,6,2,7,1] => [4,2,1] => 10
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [6,5,4,2,3,7,1] => [1,1,1,3,1] => 12
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [5,6,4,2,3,7,1] => [2,1,3,1] => 11
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [6,4,5,2,3,7,1] => [1,2,3,1] => 10
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [5,4,6,2,3,7,1] => [1,2,3,1] => 10
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [4,5,6,2,3,7,1] => [3,3,1] => 9
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [6,3,5,2,4,7,1] => [1,2,3,1] => 10
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [3,5,6,2,4,7,1] => [3,3,1] => 9
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [6,5,2,3,4,7,1] => [1,1,4,1] => 9
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [5,6,2,3,4,7,1] => [2,4,1] => 8
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [4,3,6,2,5,7,1] => [1,2,3,1] => 10
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [3,4,6,2,5,7,1] => [3,3,1] => 9
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [4,6,2,3,5,7,1] => [2,4,1] => 8
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [3,6,2,4,5,7,1] => [2,4,1] => 8
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [6,2,3,4,5,7,1] => [1,5,1] => 7
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [5,4,3,2,6,7,1] => [1,1,1,3,1] => 12
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [4,5,3,2,6,7,1] => [2,1,3,1] => 11
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [5,3,4,2,6,7,1] => [1,2,3,1] => 10
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [4,3,5,2,6,7,1] => [1,2,3,1] => 10
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [3,4,5,2,6,7,1] => [3,3,1] => 9
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [5,4,2,3,6,7,1] => [1,1,4,1] => 9
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [4,5,2,3,6,7,1] => [2,4,1] => 8
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [3,5,2,4,6,7,1] => [2,4,1] => 8
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [5,2,3,4,6,7,1] => [1,5,1] => 7
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [4,3,2,5,6,7,1] => [1,1,4,1] => 9
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [3,4,2,5,6,7,1] => [2,4,1] => 8
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [4,2,3,5,6,7,1] => [1,5,1] => 7
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [3,2,4,5,6,7,1] => [1,5,1] => 7
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => [6,1] => 6
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [7,6,5,4,3,1,2] => [1,1,1,1,1,2] => 15
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [6,7,5,4,3,1,2] => [2,1,1,1,2] => 14
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [7,5,6,4,3,1,2] => [1,2,1,1,2] => 13
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [6,5,7,4,3,1,2] => [1,2,1,1,2] => 13
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [5,6,7,4,3,1,2] => [3,1,1,2] => 12
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [7,6,4,5,3,1,2] => [1,1,2,1,2] => 12
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [6,7,4,5,3,1,2] => [2,2,1,2] => 11
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [5,7,4,6,3,1,2] => [2,2,1,2] => 11
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [7,4,5,6,3,1,2] => [1,3,1,2] => 10
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [6,5,4,7,3,1,2] => [1,1,2,1,2] => 12
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [5,6,4,7,3,1,2] => [2,2,1,2] => 11
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [6,4,5,7,3,1,2] => [1,3,1,2] => 10
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [5,4,6,7,3,1,2] => [1,3,1,2] => 10
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [4,5,6,7,3,1,2] => [4,1,2] => 9
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [7,6,5,3,4,1,2] => [1,1,1,2,2] => 11
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [6,7,5,3,4,1,2] => [2,1,2,2] => 10
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [7,5,6,3,4,1,2] => [1,2,2,2] => 9
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [6,5,7,3,4,1,2] => [1,2,2,2] => 9
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [5,6,7,3,4,1,2] => [3,2,2] => 8
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [7,4,6,3,5,1,2] => [1,2,2,2] => 9
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [4,6,7,3,5,1,2] => [3,2,2] => 8
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [7,6,3,4,5,1,2] => [1,1,3,2] => 8
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [6,7,3,4,5,1,2] => [2,3,2] => 7
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [5,4,7,3,6,1,2] => [1,2,2,2] => 9
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [4,5,7,3,6,1,2] => [3,2,2] => 8
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [5,7,3,4,6,1,2] => [2,3,2] => 7
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [4,7,3,5,6,1,2] => [2,3,2] => 7
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [7,3,4,5,6,1,2] => [1,4,2] => 6
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [6,5,4,3,7,1,2] => [1,1,1,2,2] => 11
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [5,6,4,3,7,1,2] => [2,1,2,2] => 10
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [6,4,5,3,7,1,2] => [1,2,2,2] => 9
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [5,4,6,3,7,1,2] => [1,2,2,2] => 9
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [4,5,6,3,7,1,2] => [3,2,2] => 8
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [6,5,3,4,7,1,2] => [1,1,3,2] => 8
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [5,6,3,4,7,1,2] => [2,3,2] => 7
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [4,6,3,5,7,1,2] => [2,3,2] => 7
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [6,3,4,5,7,1,2] => [1,4,2] => 6
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [5,4,3,6,7,1,2] => [1,1,3,2] => 8
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [4,5,3,6,7,1,2] => [2,3,2] => 7
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [5,3,4,6,7,1,2] => [1,4,2] => 6
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [4,3,5,6,7,1,2] => [1,4,2] => 6
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [3,4,5,6,7,1,2] => [5,2] => 5
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [7,6,5,2,4,1,3] => [1,1,1,2,2] => 11
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [6,7,5,2,4,1,3] => [2,1,2,2] => 10
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [7,5,6,2,4,1,3] => [1,2,2,2] => 9
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [6,5,7,2,4,1,3] => [1,2,2,2] => 9
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [5,6,7,2,4,1,3] => [3,2,2] => 8
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [7,6,2,4,5,1,3] => [1,1,3,2] => 8
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [6,7,2,4,5,1,3] => [2,3,2] => 7
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [5,7,2,4,6,1,3] => [2,3,2] => 7
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [7,2,4,5,6,1,3] => [1,4,2] => 6
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [6,5,2,4,7,1,3] => [1,1,3,2] => 8
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [5,6,2,4,7,1,3] => [2,3,2] => 7
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [6,2,4,5,7,1,3] => [1,4,2] => 6
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [5,2,4,6,7,1,3] => [1,4,2] => 6
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,4,5,6,7,1,3] => [5,2] => 5
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [7,6,5,4,1,2,3] => [1,1,1,1,3] => 10
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [6,7,5,4,1,2,3] => [2,1,1,3] => 9
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [7,5,6,4,1,2,3] => [1,2,1,3] => 8
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [6,5,7,4,1,2,3] => [1,2,1,3] => 8
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [5,6,7,4,1,2,3] => [3,1,3] => 7
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [7,6,4,5,1,2,3] => [1,1,2,3] => 7
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [6,7,4,5,1,2,3] => [2,2,3] => 6
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [5,7,4,6,1,2,3] => [2,2,3] => 6
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [7,4,5,6,1,2,3] => [1,3,3] => 5
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [6,5,4,7,1,2,3] => [1,1,2,3] => 7
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [5,6,4,7,1,2,3] => [2,2,3] => 6
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [6,4,5,7,1,2,3] => [1,3,3] => 5
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [5,4,6,7,1,2,3] => [1,3,3] => 5
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [4,5,6,7,1,2,3] => [4,3] => 4
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [7,3,6,2,5,1,4] => [1,2,2,2] => 9
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,6,7,2,5,1,4] => [3,2,2] => 8
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,7,2,5,6,1,4] => [2,3,2] => 7
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,6,2,5,7,1,4] => [2,3,2] => 7
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,2,5,6,7,1,4] => [1,4,2] => 6
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [7,6,2,3,5,1,4] => [1,1,3,2] => 8
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [6,7,2,3,5,1,4] => [2,3,2] => 7
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [7,2,3,5,6,1,4] => [1,4,2] => 6
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [6,2,3,5,7,1,4] => [1,4,2] => 6
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [2,3,5,6,7,1,4] => [5,2] => 5
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [7,6,3,5,1,2,4] => [1,1,2,3] => 7
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [6,7,3,5,1,2,4] => [2,2,3] => 6
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [7,3,5,6,1,2,4] => [1,3,3] => 5
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [6,3,5,7,1,2,4] => [1,3,3] => 5
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [3,5,6,7,1,2,4] => [4,3] => 4
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [7,6,2,5,1,3,4] => [1,1,2,3] => 7
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [6,7,2,5,1,3,4] => [2,2,3] => 6
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [7,2,5,6,1,3,4] => [1,3,3] => 5
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [6,2,5,7,1,3,4] => [1,3,3] => 5
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,5,6,7,1,3,4] => [4,3] => 4
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [1,1,1,4] => 6
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [6,7,5,1,2,3,4] => [2,1,4] => 5
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [7,5,6,1,2,3,4] => [1,2,4] => 4
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [6,5,7,1,2,3,4] => [1,2,4] => 4
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [5,6,7,1,2,3,4] => [3,4] => 3
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,3,7,2,6,1,5] => [1,2,2,2] => 9
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,3,2,6,7,1,5] => [1,1,3,2] => 8
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [3,4,7,2,6,1,5] => [3,2,2] => 8
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [3,4,2,6,7,1,5] => [2,3,2] => 7
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [4,7,2,3,6,1,5] => [2,3,2] => 7
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [4,2,3,6,7,1,5] => [1,4,2] => 6
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [3,7,2,4,6,1,5] => [2,3,2] => 7
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [3,2,4,6,7,1,5] => [1,4,2] => 6
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [7,2,3,4,6,1,5] => [1,4,2] => 6
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [2,3,4,6,7,1,5] => [5,2] => 5
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [4,7,3,6,1,2,5] => [2,2,3] => 6
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [4,3,6,7,1,2,5] => [1,3,3] => 5
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [7,3,4,6,1,2,5] => [1,3,3] => 5
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [3,4,6,7,1,2,5] => [4,3] => 4
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [7,2,4,6,1,3,5] => [1,3,3] => 5
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,4,6,7,1,3,5] => [4,3] => 4
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [7,4,6,1,2,3,5] => [1,2,4] => 4
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [4,6,7,1,2,3,5] => [3,4] => 3
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,7,2,6,1,4,5] => [2,2,3] => 6
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,2,6,7,1,4,5] => [1,3,3] => 5
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [7,2,3,6,1,4,5] => [1,3,3] => 5
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [2,3,6,7,1,4,5] => [4,3] => 4
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [7,3,6,1,2,4,5] => [1,2,4] => 4
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [3,6,7,1,2,4,5] => [3,4] => 3
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [7,2,6,1,3,4,5] => [1,2,4] => 4
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,6,7,1,3,4,5] => [3,4] => 3
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [7,6,1,2,3,4,5] => [1,1,5] => 3
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [6,7,1,2,3,4,5] => [2,5] => 2
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [5,4,3,2,7,1,6] => [1,1,1,2,2] => 11
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [4,5,3,2,7,1,6] => [2,1,2,2] => 10
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [5,3,4,2,7,1,6] => [1,2,2,2] => 9
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [4,3,5,2,7,1,6] => [1,2,2,2] => 9
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [3,4,5,2,7,1,6] => [3,2,2] => 8
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [5,4,2,3,7,1,6] => [1,1,3,2] => 8
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [4,5,2,3,7,1,6] => [2,3,2] => 7
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [3,5,2,4,7,1,6] => [2,3,2] => 7
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [5,2,3,4,7,1,6] => [1,4,2] => 6
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [4,3,2,5,7,1,6] => [1,1,3,2] => 8
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [3,4,2,5,7,1,6] => [2,3,2] => 7
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [4,2,3,5,7,1,6] => [1,4,2] => 6
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [3,2,4,5,7,1,6] => [1,4,2] => 6
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [2,3,4,5,7,1,6] => [5,2] => 5
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [5,4,3,7,1,2,6] => [1,1,2,3] => 7
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [4,5,3,7,1,2,6] => [2,2,3] => 6
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [5,3,4,7,1,2,6] => [1,3,3] => 5
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [4,3,5,7,1,2,6] => [1,3,3] => 5
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [3,4,5,7,1,2,6] => [4,3] => 4
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [5,2,4,7,1,3,6] => [1,3,3] => 5
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,4,5,7,1,3,6] => [4,3] => 4
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [5,4,7,1,2,3,6] => [1,2,4] => 4
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [4,5,7,1,2,3,6] => [3,4] => 3
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,2,5,7,1,4,6] => [1,3,3] => 5
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [2,3,5,7,1,4,6] => [4,3] => 4
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [3,5,7,1,2,4,6] => [3,4] => 3
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,5,7,1,3,4,6] => [3,4] => 3
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [5,7,1,2,3,4,6] => [2,5] => 2
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [4,3,2,7,1,5,6] => [1,1,2,3] => 7
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [3,4,2,7,1,5,6] => [2,2,3] => 6
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [4,2,3,7,1,5,6] => [1,3,3] => 5
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [3,2,4,7,1,5,6] => [1,3,3] => 5
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [2,3,4,7,1,5,6] => [4,3] => 4
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [4,3,7,1,2,5,6] => [1,2,4] => 4
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [3,4,7,1,2,5,6] => [3,4] => 3
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,4,7,1,3,5,6] => [3,4] => 3
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [4,7,1,2,3,5,6] => [2,5] => 2
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [3,2,7,1,4,5,6] => [1,2,4] => 4
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [2,3,7,1,4,5,6] => [3,4] => 3
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [3,7,1,2,4,5,6] => [2,5] => 2
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,7,1,3,4,5,6] => [2,5] => 2
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => [1,6] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [1,1,1,1,1,2] => 15
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [5,6,4,3,2,1,7] => [2,1,1,1,2] => 14
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [6,4,5,3,2,1,7] => [1,2,1,1,2] => 13
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [5,4,6,3,2,1,7] => [1,2,1,1,2] => 13
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [4,5,6,3,2,1,7] => [3,1,1,2] => 12
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [6,5,3,4,2,1,7] => [1,1,2,1,2] => 12
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [5,6,3,4,2,1,7] => [2,2,1,2] => 11
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [4,6,3,5,2,1,7] => [2,2,1,2] => 11
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [6,3,4,5,2,1,7] => [1,3,1,2] => 10
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [5,4,3,6,2,1,7] => [1,1,2,1,2] => 12
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [4,5,3,6,2,1,7] => [2,2,1,2] => 11
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [5,3,4,6,2,1,7] => [1,3,1,2] => 10
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [4,3,5,6,2,1,7] => [1,3,1,2] => 10
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [3,4,5,6,2,1,7] => [4,1,2] => 9
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [6,5,4,2,3,1,7] => [1,1,1,2,2] => 11
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [5,6,4,2,3,1,7] => [2,1,2,2] => 10
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [6,4,5,2,3,1,7] => [1,2,2,2] => 9
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [5,4,6,2,3,1,7] => [1,2,2,2] => 9
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [4,5,6,2,3,1,7] => [3,2,2] => 8
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [6,3,5,2,4,1,7] => [1,2,2,2] => 9
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [3,5,6,2,4,1,7] => [3,2,2] => 8
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [6,5,2,3,4,1,7] => [1,1,3,2] => 8
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [5,6,2,3,4,1,7] => [2,3,2] => 7
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [4,3,6,2,5,1,7] => [1,2,2,2] => 9
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [3,4,6,2,5,1,7] => [3,2,2] => 8
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [4,6,2,3,5,1,7] => [2,3,2] => 7
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [3,6,2,4,5,1,7] => [2,3,2] => 7
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [6,2,3,4,5,1,7] => [1,4,2] => 6
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [5,4,3,2,6,1,7] => [1,1,1,2,2] => 11
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [4,5,3,2,6,1,7] => [2,1,2,2] => 10
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [5,3,4,2,6,1,7] => [1,2,2,2] => 9
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [4,3,5,2,6,1,7] => [1,2,2,2] => 9
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [3,4,5,2,6,1,7] => [3,2,2] => 8
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [5,4,2,3,6,1,7] => [1,1,3,2] => 8
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [4,5,2,3,6,1,7] => [2,3,2] => 7
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [3,5,2,4,6,1,7] => [2,3,2] => 7
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [5,2,3,4,6,1,7] => [1,4,2] => 6
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [4,3,2,5,6,1,7] => [1,1,3,2] => 8
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [3,4,2,5,6,1,7] => [2,3,2] => 7
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [4,2,3,5,6,1,7] => [1,4,2] => 6
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [3,2,4,5,6,1,7] => [1,4,2] => 6
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7] => [5,2] => 5
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [6,5,4,3,1,2,7] => [1,1,1,1,3] => 10
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [5,6,4,3,1,2,7] => [2,1,1,3] => 9
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [6,4,5,3,1,2,7] => [1,2,1,3] => 8
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [5,4,6,3,1,2,7] => [1,2,1,3] => 8
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [4,5,6,3,1,2,7] => [3,1,3] => 7
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [6,5,3,4,1,2,7] => [1,1,2,3] => 7
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [5,6,3,4,1,2,7] => [2,2,3] => 6
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [4,6,3,5,1,2,7] => [2,2,3] => 6
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [6,3,4,5,1,2,7] => [1,3,3] => 5
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [5,4,3,6,1,2,7] => [1,1,2,3] => 7
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [4,5,3,6,1,2,7] => [2,2,3] => 6
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [5,3,4,6,1,2,7] => [1,3,3] => 5
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [4,3,5,6,1,2,7] => [1,3,3] => 5
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [3,4,5,6,1,2,7] => [4,3] => 4
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [6,5,2,4,1,3,7] => [1,1,2,3] => 7
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [5,6,2,4,1,3,7] => [2,2,3] => 6
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [6,2,4,5,1,3,7] => [1,3,3] => 5
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [5,2,4,6,1,3,7] => [1,3,3] => 5
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,4,5,6,1,3,7] => [4,3] => 4
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [6,5,4,1,2,3,7] => [1,1,1,4] => 6
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [5,6,4,1,2,3,7] => [2,1,4] => 5
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [6,4,5,1,2,3,7] => [1,2,4] => 4
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [5,4,6,1,2,3,7] => [1,2,4] => 4
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [4,5,6,1,2,3,7] => [3,4] => 3
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,6,2,5,1,4,7] => [2,2,3] => 6
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,2,5,6,1,4,7] => [1,3,3] => 5
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [6,2,3,5,1,4,7] => [1,3,3] => 5
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [2,3,5,6,1,4,7] => [4,3] => 4
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [6,3,5,1,2,4,7] => [1,2,4] => 4
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [3,5,6,1,2,4,7] => [3,4] => 3
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [6,2,5,1,3,4,7] => [1,2,4] => 4
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,5,6,1,3,4,7] => [3,4] => 3
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [6,5,1,2,3,4,7] => [1,1,5] => 3
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [5,6,1,2,3,4,7] => [2,5] => 2
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [4,3,2,6,1,5,7] => [1,1,2,3] => 7
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [3,4,2,6,1,5,7] => [2,2,3] => 6
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [4,2,3,6,1,5,7] => [1,3,3] => 5
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [3,2,4,6,1,5,7] => [1,3,3] => 5
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [2,3,4,6,1,5,7] => [4,3] => 4
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [4,3,6,1,2,5,7] => [1,2,4] => 4
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [3,4,6,1,2,5,7] => [3,4] => 3
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,4,6,1,3,5,7] => [3,4] => 3
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [4,6,1,2,3,5,7] => [2,5] => 2
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [3,2,6,1,4,5,7] => [1,2,4] => 4
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [2,3,6,1,4,5,7] => [3,4] => 3
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [3,6,1,2,4,5,7] => [2,5] => 2
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,6,1,3,4,5,7] => [2,5] => 2
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [6,1,2,3,4,5,7] => [1,6] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => [1,1,1,1,3] => 10
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,5,3,2,1,6,7] => [2,1,1,3] => 9
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [5,3,4,2,1,6,7] => [1,2,1,3] => 8
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [4,3,5,2,1,6,7] => [1,2,1,3] => 8
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [3,4,5,2,1,6,7] => [3,1,3] => 7
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [5,4,2,3,1,6,7] => [1,1,2,3] => 7
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [4,5,2,3,1,6,7] => [2,2,3] => 6
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [3,5,2,4,1,6,7] => [2,2,3] => 6
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [5,2,3,4,1,6,7] => [1,3,3] => 5
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [4,3,2,5,1,6,7] => [1,1,2,3] => 7
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [3,4,2,5,1,6,7] => [2,2,3] => 6
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [4,2,3,5,1,6,7] => [1,3,3] => 5
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [3,2,4,5,1,6,7] => [1,3,3] => 5
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => [4,3] => 4
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [5,4,3,1,2,6,7] => [1,1,1,4] => 6
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [4,5,3,1,2,6,7] => [2,1,4] => 5
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [5,3,4,1,2,6,7] => [1,2,4] => 4
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [4,3,5,1,2,6,7] => [1,2,4] => 4
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [3,4,5,1,2,6,7] => [3,4] => 3
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [5,2,4,1,3,6,7] => [1,2,4] => 4
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,4,5,1,3,6,7] => [3,4] => 3
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [5,4,1,2,3,6,7] => [1,1,5] => 3
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [4,5,1,2,3,6,7] => [2,5] => 2
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [3,2,5,1,4,6,7] => [1,2,4] => 4
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [2,3,5,1,4,6,7] => [3,4] => 3
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [3,5,1,2,4,6,7] => [2,5] => 2
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,5,1,3,4,6,7] => [2,5] => 2
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [5,1,2,3,4,6,7] => [1,6] => 1
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => [1,1,1,4] => 6
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [3,4,2,1,5,6,7] => [2,1,4] => 5
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [4,2,3,1,5,6,7] => [1,2,4] => 4
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [3,2,4,1,5,6,7] => [1,2,4] => 4
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => [3,4] => 3
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [4,3,1,2,5,6,7] => [1,1,5] => 3
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [3,4,1,2,5,6,7] => [2,5] => 2
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,4,1,3,5,6,7] => [2,5] => 2
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [4,1,2,3,5,6,7] => [1,6] => 1
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [1,1,5] => 3
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => [2,5] => 2
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [3,1,2,4,5,6,7] => [1,6] => 1
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [1,6] => 1
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7] => 0
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1] => 28
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [7,8,6,5,4,3,2,1] => [2,1,1,1,1,1,1] => 27
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [8,6,7,5,4,3,2,1] => [1,2,1,1,1,1,1] => 26
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [7,6,8,5,4,3,2,1] => [1,2,1,1,1,1,1] => 26
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [6,7,8,5,4,3,2,1] => [3,1,1,1,1,1] => 25
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [8,7,5,6,4,3,2,1] => [1,1,2,1,1,1,1] => 25
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [7,8,5,6,4,3,2,1] => [2,2,1,1,1,1] => 24
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [6,8,5,7,4,3,2,1] => [2,2,1,1,1,1] => 24
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [8,5,6,7,4,3,2,1] => [1,3,1,1,1,1] => 23
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [7,6,5,8,4,3,2,1] => [1,1,2,1,1,1,1] => 25
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [6,7,5,8,4,3,2,1] => [2,2,1,1,1,1] => 24
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [7,5,6,8,4,3,2,1] => [1,3,1,1,1,1] => 23
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [6,5,7,8,4,3,2,1] => [1,3,1,1,1,1] => 23
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [5,6,7,8,4,3,2,1] => [4,1,1,1,1] => 22
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [8,7,6,4,5,3,2,1] => [1,1,1,2,1,1,1] => 24
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [7,8,6,4,5,3,2,1] => [2,1,2,1,1,1] => 23
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [8,6,7,4,5,3,2,1] => [1,2,2,1,1,1] => 22
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [7,6,8,4,5,3,2,1] => [1,2,2,1,1,1] => 22
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [4,6,7,8,5,3,2,1] => [6,7,8,4,5,3,2,1] => [3,2,1,1,1] => 21
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [5,4,8,7,6,3,2,1] => [8,5,7,4,6,3,2,1] => [1,2,2,1,1,1] => 22
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [5,4,7,8,6,3,2,1] => [5,7,8,4,6,3,2,1] => [3,2,1,1,1] => 21
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [8,7,4,5,6,3,2,1] => [1,1,3,1,1,1] => 21
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [4,5,7,8,6,3,2,1] => [7,8,4,5,6,3,2,1] => [2,3,1,1,1] => 20
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [6,5,4,8,7,3,2,1] => [6,5,8,4,7,3,2,1] => [1,2,2,1,1,1] => 22
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [5,6,4,8,7,3,2,1] => [5,6,8,4,7,3,2,1] => [3,2,1,1,1] => 21
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [6,8,4,5,7,3,2,1] => [2,3,1,1,1] => 20
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [5,4,6,8,7,3,2,1] => [5,8,4,6,7,3,2,1] => [2,3,1,1,1] => 20
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [8,4,5,6,7,3,2,1] => [1,4,1,1,1] => 19
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [7,6,5,4,8,3,2,1] => [1,1,1,2,1,1,1] => 24
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [6,7,5,4,8,3,2,1] => [2,1,2,1,1,1] => 23
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [7,5,6,4,8,3,2,1] => [1,2,2,1,1,1] => 22
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [6,5,7,4,8,3,2,1] => [1,2,2,1,1,1] => 22
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [5,6,7,4,8,3,2,1] => [3,2,1,1,1] => 21
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [7,6,4,5,8,3,2,1] => [1,1,3,1,1,1] => 21
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [6,7,4,5,8,3,2,1] => [2,3,1,1,1] => 20
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [5,7,4,6,8,3,2,1] => [2,3,1,1,1] => 20
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [7,4,5,6,8,3,2,1] => [1,4,1,1,1] => 19
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [6,5,4,7,8,3,2,1] => [1,1,3,1,1,1] => 21
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [5,6,4,7,8,3,2,1] => [2,3,1,1,1] => 20
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [6,4,5,7,8,3,2,1] => [1,4,1,1,1] => 19
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [5,4,6,7,8,3,2,1] => [1,4,1,1,1] => 19
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [4,5,6,7,8,3,2,1] => [5,1,1,1] => 18
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [8,7,6,5,3,4,2,1] => [1,1,1,1,2,1,1] => 23
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [7,8,6,5,3,4,2,1] => [2,1,1,2,1,1] => 22
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [8,6,7,5,3,4,2,1] => [1,2,1,2,1,1] => 21
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [7,6,8,5,3,4,2,1] => [1,2,1,2,1,1] => 21
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [3,6,7,8,5,4,2,1] => [6,7,8,5,3,4,2,1] => [3,1,2,1,1] => 20
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [8,7,5,6,3,4,2,1] => [1,1,2,2,1,1] => 20
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [7,8,5,6,3,4,2,1] => [2,2,2,1,1] => 19
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [3,6,5,8,7,4,2,1] => [6,8,5,7,3,4,2,1] => [2,2,2,1,1] => 19
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [8,5,6,7,3,4,2,1] => [1,3,2,1,1] => 18
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [7,6,5,8,3,4,2,1] => [1,1,2,2,1,1] => 20
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [3,6,7,5,8,4,2,1] => [6,7,5,8,3,4,2,1] => [2,2,2,1,1] => 19
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [3,6,5,7,8,4,2,1] => [6,5,7,8,3,4,2,1] => [1,3,2,1,1] => 18
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [5,6,7,8,3,4,2,1] => [4,2,1,1] => 17
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [8,7,4,6,3,5,2,1] => [1,1,2,2,1,1] => 20
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [4,3,7,8,6,5,2,1] => [7,8,4,6,3,5,2,1] => [2,2,2,1,1] => 19
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [4,3,6,8,7,5,2,1] => [8,4,6,7,3,5,2,1] => [1,3,2,1,1] => 18
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [4,3,7,6,8,5,2,1] => [7,4,6,8,3,5,2,1] => [1,3,2,1,1] => 18
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [4,6,7,8,3,5,2,1] => [4,2,1,1] => 17
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [8,7,6,3,4,5,2,1] => [1,1,1,3,1,1] => 19
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [3,4,7,8,6,5,2,1] => [7,8,6,3,4,5,2,1] => [2,1,3,1,1] => 18
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [3,4,6,8,7,5,2,1] => [8,6,7,3,4,5,2,1] => [1,2,3,1,1] => 17
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [3,4,7,6,8,5,2,1] => [7,6,8,3,4,5,2,1] => [1,2,3,1,1] => 17
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [6,7,8,3,4,5,2,1] => [3,3,1,1] => 16
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [5,8,4,7,3,6,2,1] => [2,2,2,1,1] => 19
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [5,4,7,8,3,6,2,1] => [1,3,2,1,1] => 18
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [4,5,3,8,7,6,2,1] => [8,4,5,7,3,6,2,1] => [1,3,2,1,1] => 18
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [4,5,3,7,8,6,2,1] => [4,5,7,8,3,6,2,1] => [4,2,1,1] => 17
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [3,5,4,8,7,6,2,1] => [8,5,7,3,4,6,2,1] => [1,2,3,1,1] => 17
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] => [3,5,4,7,8,6,2,1] => [5,7,8,3,4,6,2,1] => [3,3,1,1] => 16
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [4,3,5,8,7,6,2,1] => [8,4,7,3,5,6,2,1] => [1,2,3,1,1] => 17
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [4,3,5,7,8,6,2,1] => [4,7,8,3,5,6,2,1] => [3,3,1,1] => 16
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [8,7,3,4,5,6,2,1] => [1,1,4,1,1] => 16
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [7,8,3,4,5,6,2,1] => [2,4,1,1] => 15
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [6,5,4,8,3,7,2,1] => [1,1,2,2,1,1] => 20
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [5,6,4,8,3,7,2,1] => [2,2,2,1,1] => 19
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [4,6,5,3,8,7,2,1] => [6,4,5,8,3,7,2,1] => [1,3,2,1,1] => 18
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [5,4,6,3,8,7,2,1] => [5,4,6,8,3,7,2,1] => [1,3,2,1,1] => 18
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [4,5,6,3,8,7,2,1] => [4,5,6,8,3,7,2,1] => [4,2,1,1] => 17
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [3,6,5,4,8,7,2,1] => [6,5,8,3,4,7,2,1] => [1,2,3,1,1] => 17
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [4,6,8,3,5,7,2,1] => [3,3,1,1] => 16
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [3,4,6,5,8,7,2,1] => [6,8,3,4,5,7,2,1] => [2,4,1,1] => 15
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [5,4,8,3,6,7,2,1] => [1,2,3,1,1] => 17
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => [4,5,8,3,6,7,2,1] => [3,3,1,1] => 16
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [3,5,4,6,8,7,2,1] => [5,8,3,4,6,7,2,1] => [2,4,1,1] => 15
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [4,3,5,6,8,7,2,1] => [4,8,3,5,6,7,2,1] => [2,4,1,1] => 15
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [8,3,4,5,6,7,2,1] => [1,5,1,1] => 14
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [7,6,5,4,3,8,2,1] => [1,1,1,1,2,1,1] => 23
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [6,7,5,4,3,8,2,1] => [2,1,1,2,1,1] => 22
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [7,5,6,4,3,8,2,1] => [1,2,1,2,1,1] => 21
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [6,5,7,4,3,8,2,1] => [1,2,1,2,1,1] => 21
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [5,6,7,4,3,8,2,1] => [3,1,2,1,1] => 20
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1] => [7,6,4,5,3,8,2,1] => [1,1,2,2,1,1] => 20
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [4,6,7,5,3,8,2,1] => [6,7,4,5,3,8,2,1] => [2,2,2,1,1] => 19
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [5,7,4,6,3,8,2,1] => [2,2,2,1,1] => 19
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]] => [4,5,7,6,3,8,2,1] => [7,4,5,6,3,8,2,1] => [1,3,2,1,1] => 18
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [6,5,4,7,3,8,2,1] => [1,1,2,2,1,1] => 20
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [5,6,4,7,3,8,2,1] => [2,2,2,1,1] => 19
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [4,6,5,7,3,8,2,1] => [6,4,5,7,3,8,2,1] => [1,3,2,1,1] => 18
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [5,4,6,7,3,8,2,1] => [1,3,2,1,1] => 18
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [4,5,6,7,3,8,2,1] => [4,2,1,1] => 17
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [7,6,5,3,4,8,2,1] => [1,1,1,3,1,1] => 19
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [3,6,7,5,4,8,2,1] => [6,7,5,3,4,8,2,1] => [2,1,3,1,1] => 18
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [3,6,5,7,4,8,2,1] => [6,5,7,3,4,8,2,1] => [1,2,3,1,1] => 17
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [5,6,7,3,4,8,2,1] => [3,3,1,1] => 16
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [7,4,6,3,5,8,2,1] => [1,2,3,1,1] => 17
[.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [4,3,6,7,5,8,2,1] => [4,6,7,3,5,8,2,1] => [3,3,1,1] => 16
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [7,6,3,4,5,8,2,1] => [1,1,4,1,1] => 16
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]] => [5,4,3,7,6,8,2,1] => [5,4,7,3,6,8,2,1] => [1,2,3,1,1] => 17
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [4,5,3,7,6,8,2,1] => [4,5,7,3,6,8,2,1] => [3,3,1,1] => 16
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [5,7,3,4,6,8,2,1] => [2,4,1,1] => 15
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1] => [4,7,3,5,6,8,2,1] => [2,4,1,1] => 15
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [7,3,4,5,6,8,2,1] => [1,5,1,1] => 14
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [6,5,4,3,7,8,2,1] => [1,1,1,3,1,1] => 19
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [5,6,4,3,7,8,2,1] => [2,1,3,1,1] => 18
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [5,4,6,3,7,8,2,1] => [5,4,6,3,7,8,2,1] => [1,2,3,1,1] => 17
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [4,5,6,3,7,8,2,1] => [3,3,1,1] => 16
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => [6,5,3,4,7,8,2,1] => [1,1,4,1,1] => 16
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [4,6,3,5,7,8,2,1] => [2,4,1,1] => 15
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [6,3,4,5,7,8,2,1] => [1,5,1,1] => 14
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [5,4,3,6,7,8,2,1] => [1,1,4,1,1] => 16
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [4,5,3,6,7,8,2,1] => [2,4,1,1] => 15
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [5,3,4,6,7,8,2,1] => [1,5,1,1] => 14
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [4,3,5,6,7,8,2,1] => [1,5,1,1] => 14
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [3,4,5,6,7,8,2,1] => [6,1,1] => 13
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [8,7,6,5,4,2,3,1] => [1,1,1,1,1,2,1] => 22
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [7,8,6,5,4,2,3,1] => [2,1,1,1,2,1] => 21
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [8,6,7,5,4,2,3,1] => [1,2,1,1,2,1] => 20
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [7,6,8,5,4,2,3,1] => [1,2,1,1,2,1] => 20
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] => [2,5,8,7,6,4,3,1] => [8,7,5,6,4,2,3,1] => [1,1,2,1,2,1] => 19
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [2,6,5,8,7,4,3,1] => [6,8,5,7,4,2,3,1] => [2,2,1,2,1] => 18
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [2,5,6,8,7,4,3,1] => [8,5,6,7,4,2,3,1] => [1,3,1,2,1] => 17
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] => [2,7,6,5,8,4,3,1] => [7,6,5,8,4,2,3,1] => [1,1,2,1,2,1] => 19
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [6,7,5,8,4,2,3,1] => [2,2,1,2,1] => 18
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [2,5,7,6,8,4,3,1] => [7,5,6,8,4,2,3,1] => [1,3,1,2,1] => 17
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [2,6,5,7,8,4,3,1] => [6,5,7,8,4,2,3,1] => [1,3,1,2,1] => 17
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [5,6,7,8,4,2,3,1] => [4,1,2,1] => 16
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [8,7,6,4,5,2,3,1] => [1,1,1,2,2,1] => 18
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [7,8,6,4,5,2,3,1] => [2,1,2,2,1] => 17
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [8,6,7,4,5,2,3,1] => [1,2,2,2,1] => 16
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [6,7,8,4,5,2,3,1] => [3,2,2,1] => 15
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [8,5,7,4,6,2,3,1] => [1,2,2,2,1] => 16
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [7,8,4,5,6,2,3,1] => [2,3,2,1] => 14
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [6,5,8,4,7,2,3,1] => [1,2,2,2,1] => 16
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [6,8,4,5,7,2,3,1] => [2,3,2,1] => 14
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [8,4,5,6,7,2,3,1] => [1,4,2,1] => 13
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [7,6,5,4,8,2,3,1] => [1,1,1,2,2,1] => 18
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [2,6,7,5,4,8,3,1] => [6,7,5,4,8,2,3,1] => [2,1,2,2,1] => 17
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [2,5,7,6,4,8,3,1] => [7,5,6,4,8,2,3,1] => [1,2,2,2,1] => 16
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [2,6,5,7,4,8,3,1] => [6,5,7,4,8,2,3,1] => [1,2,2,2,1] => 16
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [5,6,7,4,8,2,3,1] => [3,2,2,1] => 15
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [7,6,4,5,8,2,3,1] => [1,1,3,2,1] => 15
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [6,7,4,5,8,2,3,1] => [2,3,2,1] => 14
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [5,7,4,6,8,2,3,1] => [2,3,2,1] => 14
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [6,5,4,7,8,2,3,1] => [1,1,3,2,1] => 15
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [5,6,4,7,8,2,3,1] => [2,3,2,1] => 14
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [6,4,5,7,8,2,3,1] => [1,4,2,1] => 13
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [5,4,6,7,8,2,3,1] => [1,4,2,1] => 13
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [4,5,6,7,8,2,3,1] => [5,2,1] => 12
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [8,7,6,3,5,2,4,1] => [1,1,1,2,2,1] => 18
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => [7,8,6,3,5,2,4,1] => [2,1,2,2,1] => 17
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [8,6,7,3,5,2,4,1] => [1,2,2,2,1] => 16
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [3,2,7,6,8,5,4,1] => [7,6,8,3,5,2,4,1] => [1,2,2,2,1] => 16
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] => [3,2,5,8,7,6,4,1] => [8,7,3,5,6,2,4,1] => [1,1,3,2,1] => 15
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [7,8,3,5,6,2,4,1] => [2,3,2,1] => 14
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [3,2,6,5,8,7,4,1] => [6,8,3,5,7,2,4,1] => [2,3,2,1] => 14
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] => [3,2,7,6,5,8,4,1] => [7,6,3,5,8,2,4,1] => [1,1,3,2,1] => 15
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [3,2,6,7,5,8,4,1] => [6,7,3,5,8,2,4,1] => [2,3,2,1] => 14
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [7,3,5,6,8,2,4,1] => [1,4,2,1] => 13
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [3,2,6,5,7,8,4,1] => [6,3,5,7,8,2,4,1] => [1,4,2,1] => 13
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [3,5,6,7,8,2,4,1] => [5,2,1] => 12
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [8,7,6,5,2,3,4,1] => [1,1,1,1,3,1] => 17
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [2,3,6,8,7,5,4,1] => [8,6,7,5,2,3,4,1] => [1,2,1,3,1] => 15
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [2,3,7,6,8,5,4,1] => [7,6,8,5,2,3,4,1] => [1,2,1,3,1] => 15
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [6,7,8,5,2,3,4,1] => [3,1,3,1] => 14
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [2,3,5,8,7,6,4,1] => [8,7,5,6,2,3,4,1] => [1,1,2,3,1] => 14
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [7,8,5,6,2,3,4,1] => [2,2,3,1] => 13
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [8,5,6,7,2,3,4,1] => [1,3,3,1] => 12
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [7,6,5,8,2,3,4,1] => [1,1,2,3,1] => 14
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [2,3,6,7,5,8,4,1] => [6,7,5,8,2,3,4,1] => [2,2,3,1] => 13
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [2,3,6,5,7,8,4,1] => [6,5,7,8,2,3,4,1] => [1,3,3,1] => 12
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [5,6,7,8,2,3,4,1] => [4,3,1] => 11
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [8,4,7,3,6,2,5,1] => [1,2,2,2,1] => 16
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [4,7,8,3,6,2,5,1] => [3,2,2,1] => 15
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [4,3,2,6,8,7,5,1] => [4,8,3,6,7,2,5,1] => [2,3,2,1] => 14
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [8,7,3,4,6,2,5,1] => [1,1,3,2,1] => 15
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [3,4,2,6,7,8,5,1] => [3,4,6,7,8,2,5,1] => [5,2,1] => 12
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [8,7,4,6,2,3,5,1] => [1,1,2,3,1] => 14
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] => [2,4,3,7,8,6,5,1] => [7,8,4,6,2,3,5,1] => [2,2,3,1] => 13
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [8,4,6,7,2,3,5,1] => [1,3,3,1] => 12
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [2,4,3,7,6,8,5,1] => [7,4,6,8,2,3,5,1] => [1,3,3,1] => 12
[.,[[[.,.],[.,.]],[[[.,.],.],.]]] => [2,4,3,6,7,8,5,1] => [4,6,7,8,2,3,5,1] => [4,3,1] => 11
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [8,7,3,6,2,4,5,1] => [1,1,2,3,1] => 14
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] => [3,2,4,7,8,6,5,1] => [7,8,3,6,2,4,5,1] => [2,2,3,1] => 13
[.,[[[.,[.,.]],.],[[.,[.,.]],.]]] => [3,2,4,7,6,8,5,1] => [7,3,6,8,2,4,5,1] => [1,3,3,1] => 12
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [8,7,6,2,3,4,5,1] => [1,1,1,4,1] => 13
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [2,3,4,7,8,6,5,1] => [7,8,6,2,3,4,5,1] => [2,1,4,1] => 12
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [8,6,7,2,3,4,5,1] => [1,2,4,1] => 11
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [7,6,8,2,3,4,5,1] => [1,2,4,1] => 11
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [6,7,8,2,3,4,5,1] => [3,4,1] => 10
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [5,4,8,3,7,2,6,1] => [1,2,2,2,1] => 16
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [5,4,3,7,8,2,6,1] => [1,1,3,2,1] => 15
[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [4,5,3,2,8,7,6,1] => [4,5,8,3,7,2,6,1] => [3,2,2,1] => 15
[.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [4,5,3,2,7,8,6,1] => [4,5,3,7,8,2,6,1] => [2,3,2,1] => 14
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [5,3,4,7,8,2,6,1] => [1,4,2,1] => 13
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [4,3,5,2,8,7,6,1] => [4,8,3,5,7,2,6,1] => [2,3,2,1] => 14
[.,[[.,[[[.,.],.],.]],[.,[.,.]]]] => [3,4,5,2,8,7,6,1] => [8,3,4,5,7,2,6,1] => [1,4,2,1] => 13
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [3,4,5,7,8,2,6,1] => [5,2,1] => 12
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [5,8,4,7,2,3,6,1] => [2,2,3,1] => 13
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [5,4,7,8,2,3,6,1] => [1,3,3,1] => 12
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [4,5,7,8,2,3,6,1] => [4,3,1] => 11
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] => [3,2,5,4,7,8,6,1] => [3,5,7,8,2,4,6,1] => [4,3,1] => 11
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [4,8,3,7,2,5,6,1] => [2,2,3,1] => 13
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [4,3,7,8,2,5,6,1] => [1,3,3,1] => 12
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [8,3,4,7,2,5,6,1] => [1,3,3,1] => 12
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [3,4,7,8,2,5,6,1] => [4,3,1] => 11
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]] => [2,4,3,5,8,7,6,1] => [8,4,7,2,3,5,6,1] => [1,2,4,1] => 11
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [3,7,8,2,4,5,6,1] => [3,4,1] => 10
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [8,7,2,3,4,5,6,1] => [1,1,5,1] => 10
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [7,8,2,3,4,5,6,1] => [2,5,1] => 9
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [6,5,4,3,8,2,7,1] => [1,1,1,2,2,1] => 18
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [5,6,4,3,2,8,7,1] => [5,6,4,3,8,2,7,1] => [2,1,2,2,1] => 17
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [6,4,5,3,8,2,7,1] => [1,2,2,2,1] => 16
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [5,4,6,3,8,2,7,1] => [1,2,2,2,1] => 16
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => [4,5,6,3,8,2,7,1] => [3,2,2,1] => 15
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [6,5,3,4,8,2,7,1] => [1,1,3,2,1] => 15
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [5,6,3,4,8,2,7,1] => [2,3,2,1] => 14
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [4,6,3,5,8,2,7,1] => [2,3,2,1] => 14
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [5,4,3,6,8,2,7,1] => [1,1,3,2,1] => 15
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [4,5,3,6,8,2,7,1] => [2,3,2,1] => 14
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [3,5,4,6,2,8,7,1] => [5,3,4,6,8,2,7,1] => [1,4,2,1] => 13
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1] => [3,4,5,6,8,2,7,1] => [5,2,1] => 12
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [6,5,4,8,2,3,7,1] => [1,1,2,3,1] => 14
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [6,4,5,8,2,3,7,1] => [1,3,3,1] => 12
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [4,5,6,8,2,3,7,1] => [4,3,1] => 11
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [6,3,5,8,2,4,7,1] => [1,3,3,1] => 12
[.,[[[[.,.],.],[[.,.],.]],[.,.]]] => [2,3,5,6,4,8,7,1] => [5,6,8,2,3,4,7,1] => [3,4,1] => 10
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [4,3,6,8,2,5,7,1] => [1,3,3,1] => 12
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1] => [3,4,6,8,2,5,7,1] => [4,3,1] => 11
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [4,6,8,2,3,5,7,1] => [3,4,1] => 10
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [3,6,8,2,4,5,7,1] => [3,4,1] => 10
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [6,8,2,3,4,5,7,1] => [2,5,1] => 9
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [5,4,3,8,2,6,7,1] => [1,1,2,3,1] => 14
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [4,5,3,2,6,8,7,1] => [4,5,3,8,2,6,7,1] => [2,2,3,1] => 13
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [3,5,4,2,6,8,7,1] => [5,3,4,8,2,6,7,1] => [1,3,3,1] => 12
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [3,4,5,2,6,8,7,1] => [3,4,5,8,2,6,7,1] => [4,3,1] => 11
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => [5,4,8,2,3,6,7,1] => [1,2,4,1] => 11
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [4,5,8,2,3,6,7,1] => [3,4,1] => 10
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [3,5,8,2,4,6,7,1] => [3,4,1] => 10
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [4,3,8,2,5,6,7,1] => [1,2,4,1] => 11
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [3,4,8,2,5,6,7,1] => [3,4,1] => 10
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [4,8,2,3,5,6,7,1] => [2,5,1] => 9
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [3,8,2,4,5,6,7,1] => [2,5,1] => 9
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [8,2,3,4,5,6,7,1] => [1,6,1] => 8
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [7,6,5,4,3,2,8,1] => [1,1,1,1,1,2,1] => 22
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [6,7,5,4,3,2,8,1] => [2,1,1,1,2,1] => 21
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [7,5,6,4,3,2,8,1] => [1,2,1,1,2,1] => 20
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [6,5,7,4,3,2,8,1] => [1,2,1,1,2,1] => 20
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [5,6,7,4,3,2,8,1] => [3,1,1,2,1] => 19
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [7,6,4,5,3,2,8,1] => [1,1,2,1,2,1] => 19
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [6,7,4,5,3,2,8,1] => [2,2,1,2,1] => 18
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [5,4,7,6,3,2,8,1] => [5,7,4,6,3,2,8,1] => [2,2,1,2,1] => 18
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [4,5,7,6,3,2,8,1] => [7,4,5,6,3,2,8,1] => [1,3,1,2,1] => 17
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [6,5,4,7,3,2,8,1] => [1,1,2,1,2,1] => 19
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [5,6,4,7,3,2,8,1] => [5,6,4,7,3,2,8,1] => [2,2,1,2,1] => 18
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [6,4,5,7,3,2,8,1] => [1,3,1,2,1] => 17
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]] => [5,4,6,7,3,2,8,1] => [5,4,6,7,3,2,8,1] => [1,3,1,2,1] => 17
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [4,5,6,7,3,2,8,1] => [4,1,2,1] => 16
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]] => [3,7,6,5,4,2,8,1] => [7,6,5,3,4,2,8,1] => [1,1,1,2,2,1] => 18
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [7,5,6,3,4,2,8,1] => [1,2,2,2,1] => 16
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [3,6,5,7,4,2,8,1] => [6,5,7,3,4,2,8,1] => [1,2,2,2,1] => 16
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [5,6,7,3,4,2,8,1] => [3,2,2,1] => 15
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [7,4,6,3,5,2,8,1] => [1,2,2,2,1] => 16
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]] => [4,3,6,7,5,2,8,1] => [4,6,7,3,5,2,8,1] => [3,2,2,1] => 15
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [7,6,3,4,5,2,8,1] => [1,1,3,2,1] => 15
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [5,4,7,3,6,2,8,1] => [1,2,2,2,1] => 16
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [4,5,3,7,6,2,8,1] => [4,5,7,3,6,2,8,1] => [3,2,2,1] => 15
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [5,7,3,4,6,2,8,1] => [2,3,2,1] => 14
[.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [4,3,5,7,6,2,8,1] => [4,7,3,5,6,2,8,1] => [2,3,2,1] => 14
[.,[[.,[[[[.,.],.],.],[.,.]]],.]] => [3,4,5,7,6,2,8,1] => [7,3,4,5,6,2,8,1] => [1,4,2,1] => 13
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [6,5,4,3,7,2,8,1] => [1,1,1,2,2,1] => 18
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1] => [5,6,4,3,7,2,8,1] => [2,1,2,2,1] => 17
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [6,4,5,3,7,2,8,1] => [1,2,2,2,1] => 16
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [5,4,6,3,7,2,8,1] => [1,2,2,2,1] => 16
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [4,5,6,3,7,2,8,1] => [3,2,2,1] => 15
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [6,5,3,4,7,2,8,1] => [1,1,3,2,1] => 15
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [5,6,3,4,7,2,8,1] => [2,3,2,1] => 14
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [4,6,3,5,7,2,8,1] => [2,3,2,1] => 14
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [6,3,4,5,7,2,8,1] => [1,4,2,1] => 13
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [5,4,3,6,7,2,8,1] => [1,1,3,2,1] => 15
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [4,5,3,6,7,2,8,1] => [2,3,2,1] => 14
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => [5,3,4,6,7,2,8,1] => [1,4,2,1] => 13
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [4,3,5,6,7,2,8,1] => [1,4,2,1] => 13
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [3,4,5,6,7,2,8,1] => [5,2,1] => 12
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [7,6,5,4,2,3,8,1] => [1,1,1,1,3,1] => 17
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]] => [2,5,7,6,4,3,8,1] => [7,5,6,4,2,3,8,1] => [1,2,1,3,1] => 15
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [6,5,7,4,2,3,8,1] => [1,2,1,3,1] => 15
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [5,6,7,4,2,3,8,1] => [3,1,3,1] => 14
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [2,4,7,6,5,3,8,1] => [7,6,4,5,2,3,8,1] => [1,1,2,3,1] => 14
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [6,7,4,5,2,3,8,1] => [2,2,3,1] => 13
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [5,7,4,6,2,3,8,1] => [2,2,3,1] => 13
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [2,4,5,7,6,3,8,1] => [7,4,5,6,2,3,8,1] => [1,3,3,1] => 12
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [2,5,6,4,7,3,8,1] => [5,6,4,7,2,3,8,1] => [2,2,3,1] => 13
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [6,4,5,7,2,3,8,1] => [1,3,3,1] => 12
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [5,4,6,7,2,3,8,1] => [1,3,3,1] => 12
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [4,5,6,7,2,3,8,1] => [4,3,1] => 11
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]] => [3,2,7,6,5,4,8,1] => [7,6,3,5,2,4,8,1] => [1,1,2,3,1] => 14
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [6,7,3,5,2,4,8,1] => [2,2,3,1] => 13
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [7,3,5,6,2,4,8,1] => [1,3,3,1] => 12
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [6,3,5,7,2,4,8,1] => [1,3,3,1] => 12
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [3,5,6,7,2,4,8,1] => [4,3,1] => 11
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [7,6,5,2,3,4,8,1] => [1,1,1,4,1] => 13
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [7,5,6,2,3,4,8,1] => [1,2,4,1] => 11
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [5,6,7,2,3,4,8,1] => [3,4,1] => 10
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [4,7,3,6,2,5,8,1] => [2,2,3,1] => 13
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [4,3,2,6,7,5,8,1] => [4,3,6,7,2,5,8,1] => [1,3,3,1] => 12
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => [7,3,4,6,2,5,8,1] => [1,3,3,1] => 12
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [3,4,6,7,2,5,8,1] => [4,3,1] => 11
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [7,4,6,2,3,5,8,1] => [1,2,4,1] => 11
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [4,6,7,2,3,5,8,1] => [3,4,1] => 10
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [7,3,6,2,4,5,8,1] => [1,2,4,1] => 11
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [3,2,4,6,7,5,8,1] => [3,6,7,2,4,5,8,1] => [3,4,1] => 10
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [7,6,2,3,4,5,8,1] => [1,1,5,1] => 10
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [6,7,2,3,4,5,8,1] => [2,5,1] => 9
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [5,4,3,7,2,6,8,1] => [1,1,2,3,1] => 14
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [4,3,5,7,2,6,8,1] => [1,3,3,1] => 12
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [3,4,5,7,2,6,8,1] => [4,3,1] => 11
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => [5,4,7,2,3,6,8,1] => [1,2,4,1] => 11
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [2,4,5,3,7,6,8,1] => [4,5,7,2,3,6,8,1] => [3,4,1] => 10
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [3,5,7,2,4,6,8,1] => [3,4,1] => 10
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [5,7,2,3,4,6,8,1] => [2,5,1] => 9
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [4,3,7,2,5,6,8,1] => [1,2,4,1] => 11
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [3,4,7,2,5,6,8,1] => [3,4,1] => 10
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [4,7,2,3,5,6,8,1] => [2,5,1] => 9
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [3,7,2,4,5,6,8,1] => [2,5,1] => 9
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [7,2,3,4,5,6,8,1] => [1,6,1] => 8
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [6,5,4,3,2,7,8,1] => [1,1,1,1,3,1] => 17
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]] => [4,6,5,3,2,7,8,1] => [6,4,5,3,2,7,8,1] => [1,2,1,3,1] => 15
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [5,4,6,3,2,7,8,1] => [1,2,1,3,1] => 15
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [4,5,6,3,2,7,8,1] => [3,1,3,1] => 14
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]] => [3,6,5,4,2,7,8,1] => [6,5,3,4,2,7,8,1] => [1,1,2,3,1] => 14
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [5,6,3,4,2,7,8,1] => [2,2,3,1] => 13
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [6,3,4,5,2,7,8,1] => [1,3,3,1] => 12
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [5,4,3,6,2,7,8,1] => [1,1,2,3,1] => 14
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [4,5,3,6,2,7,8,1] => [4,5,3,6,2,7,8,1] => [2,2,3,1] => 13
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [4,3,5,6,2,7,8,1] => [1,3,3,1] => 12
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [3,4,5,6,2,7,8,1] => [4,3,1] => 11
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [6,5,4,2,3,7,8,1] => [1,1,1,4,1] => 13
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [5,6,4,2,3,7,8,1] => [2,1,4,1] => 12
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [6,4,5,2,3,7,8,1] => [1,2,4,1] => 11
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [5,4,6,2,3,7,8,1] => [1,2,4,1] => 11
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [4,5,6,2,3,7,8,1] => [3,4,1] => 10
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [3,5,6,2,4,7,8,1] => [3,4,1] => 10
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [6,5,2,3,4,7,8,1] => [1,1,5,1] => 10
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [4,3,2,6,5,7,8,1] => [4,3,6,2,5,7,8,1] => [1,2,4,1] => 11
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [3,4,6,2,5,7,8,1] => [3,4,1] => 10
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [4,6,2,3,5,7,8,1] => [2,5,1] => 9
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [6,2,3,4,5,7,8,1] => [1,6,1] => 8
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [5,4,3,2,6,7,8,1] => [1,1,1,4,1] => 13
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [4,5,3,2,6,7,8,1] => [2,1,4,1] => 12
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [5,3,4,2,6,7,8,1] => [1,2,4,1] => 11
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [4,3,5,2,6,7,8,1] => [1,2,4,1] => 11
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [3,4,5,2,6,7,8,1] => [3,4,1] => 10
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => [5,4,2,3,6,7,8,1] => [1,1,5,1] => 10
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [4,5,2,3,6,7,8,1] => [2,5,1] => 9
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [3,5,2,4,6,7,8,1] => [2,5,1] => 9
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [5,2,3,4,6,7,8,1] => [1,6,1] => 8
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [4,3,2,5,6,7,8,1] => [1,1,5,1] => 10
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [3,4,2,5,6,7,8,1] => [2,5,1] => 9
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [4,2,3,5,6,7,8,1] => [1,6,1] => 8
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [3,2,4,5,6,7,8,1] => [1,6,1] => 8
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,1] => [7,1] => 7
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,2] => 21
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [7,8,6,5,4,3,1,2] => [2,1,1,1,1,2] => 20
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [8,6,7,5,4,3,1,2] => [1,2,1,1,1,2] => 19
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [7,6,8,5,4,3,1,2] => [1,2,1,1,1,2] => 19
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [6,7,8,5,4,3,1,2] => [3,1,1,1,2] => 18
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [8,7,5,6,4,3,1,2] => [1,1,2,1,1,2] => 18
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,5,7,8,6,4,3,2] => [7,8,5,6,4,3,1,2] => [2,2,1,1,2] => 17
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,5,6,8,7,4,3,2] => [8,5,6,7,4,3,1,2] => [1,3,1,1,2] => 16
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [7,6,5,8,4,3,1,2] => [1,1,2,1,1,2] => 18
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [6,7,5,8,4,3,1,2] => [2,2,1,1,2] => 17
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [7,5,6,8,4,3,1,2] => [1,3,1,1,2] => 16
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [6,5,7,8,4,3,1,2] => [1,3,1,1,2] => 16
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [5,6,7,8,4,3,1,2] => [4,1,1,2] => 15
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [8,7,6,4,5,3,1,2] => [1,1,1,2,1,2] => 17
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [7,8,6,4,5,3,1,2] => [2,1,2,1,2] => 16
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [8,6,7,4,5,3,1,2] => [1,2,2,1,2] => 15
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,4,7,6,8,5,3,2] => [7,6,8,4,5,3,1,2] => [1,2,2,1,2] => 15
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [6,7,8,4,5,3,1,2] => [3,2,1,2] => 14
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [8,7,4,5,6,3,1,2] => [1,1,3,1,2] => 14
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [7,8,4,5,6,3,1,2] => [2,3,1,2] => 13
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [6,8,4,5,7,3,1,2] => [2,3,1,2] => 13
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [7,6,5,4,8,3,1,2] => [1,1,1,2,1,2] => 17
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [1,6,7,5,4,8,3,2] => [6,7,5,4,8,3,1,2] => [2,1,2,1,2] => 16
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [1,6,5,7,4,8,3,2] => [6,5,7,4,8,3,1,2] => [1,2,2,1,2] => 15
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [7,6,4,5,8,3,1,2] => [1,1,3,1,2] => 14
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [6,7,4,5,8,3,1,2] => [2,3,1,2] => 13
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,4,5,7,6,8,3,2] => [7,4,5,6,8,3,1,2] => [1,4,1,2] => 12
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [6,5,4,7,8,3,1,2] => [1,1,3,1,2] => 14
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,5,6,4,7,8,3,2] => [5,6,4,7,8,3,1,2] => [2,3,1,2] => 13
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [5,4,6,7,8,3,1,2] => [1,4,1,2] => 12
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [4,5,6,7,8,3,1,2] => [5,1,2] => 11
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [8,7,6,5,3,4,1,2] => [1,1,1,1,2,2] => 16
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [7,8,6,5,3,4,1,2] => [2,1,1,2,2] => 15
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] => [1,3,7,6,8,5,4,2] => [7,6,8,5,3,4,1,2] => [1,2,1,2,2] => 14
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [6,7,8,5,3,4,1,2] => [3,1,2,2] => 13
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [8,7,5,6,3,4,1,2] => [1,1,2,2,2] => 13
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [7,8,5,6,3,4,1,2] => [2,2,2,2] => 12
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] => [1,3,6,5,8,7,4,2] => [6,8,5,7,3,4,1,2] => [2,2,2,2] => 12
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [8,5,6,7,3,4,1,2] => [1,3,2,2] => 11
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,3,7,6,5,8,4,2] => [7,6,5,8,3,4,1,2] => [1,1,2,2,2] => 13
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [6,7,5,8,3,4,1,2] => [2,2,2,2] => 12
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [7,5,6,8,3,4,1,2] => [1,3,2,2] => 11
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [6,5,7,8,3,4,1,2] => [1,3,2,2] => 11
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [5,6,7,8,3,4,1,2] => [4,2,2] => 10
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [8,7,4,6,3,5,1,2] => [1,1,2,2,2] => 13
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [7,8,4,6,3,5,1,2] => [2,2,2,2] => 12
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [8,4,6,7,3,5,1,2] => [1,3,2,2] => 11
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => [7,4,6,8,3,5,1,2] => [1,3,2,2] => 11
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [4,6,7,8,3,5,1,2] => [4,2,2] => 10
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [8,7,6,3,4,5,1,2] => [1,1,1,3,2] => 12
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,3,4,7,8,6,5,2] => [7,8,6,3,4,5,1,2] => [2,1,3,2] => 11
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,3,4,6,8,7,5,2] => [8,6,7,3,4,5,1,2] => [1,2,3,2] => 10
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [7,6,8,3,4,5,1,2] => [1,2,3,2] => 10
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [6,7,8,3,4,5,1,2] => [3,3,2] => 9
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [5,8,4,7,3,6,1,2] => [2,2,2,2] => 12
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] => [1,5,4,3,7,8,6,2] => [5,4,7,8,3,6,1,2] => [1,3,2,2] => 11
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [8,4,5,7,3,6,1,2] => [1,3,2,2] => 11
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [4,5,7,8,3,6,1,2] => [4,2,2] => 10
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [5,7,8,3,4,6,1,2] => [3,3,2] => 9
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [4,7,8,3,5,6,1,2] => [3,3,2] => 9
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [8,7,3,4,5,6,1,2] => [1,1,4,2] => 9
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [7,8,3,4,5,6,1,2] => [2,4,2] => 8
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [6,5,4,8,3,7,1,2] => [1,1,2,2,2] => 13
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [5,6,4,8,3,7,1,2] => [2,2,2,2] => 12
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] => [1,4,6,5,3,8,7,2] => [6,4,5,8,3,7,1,2] => [1,3,2,2] => 11
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,5,4,6,3,8,7,2] => [5,4,6,8,3,7,1,2] => [1,3,2,2] => 11
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [4,5,6,8,3,7,1,2] => [4,2,2] => 10
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,3,5,6,4,8,7,2] => [5,6,8,3,4,7,1,2] => [3,3,2] => 9
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [4,6,8,3,5,7,1,2] => [3,3,2] => 9
[[.,.],[[[[.,.],.],[.,.]],[.,.]]] => [1,3,4,6,5,8,7,2] => [6,8,3,4,5,7,1,2] => [2,4,2] => 8
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [5,4,8,3,6,7,1,2] => [1,2,3,2] => 10
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [4,5,8,3,6,7,1,2] => [3,3,2] => 9
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,4,3,5,6,8,7,2] => [4,8,3,5,6,7,1,2] => [2,4,2] => 8
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [8,3,4,5,6,7,1,2] => [1,5,2] => 7
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [7,6,5,4,3,8,1,2] => [1,1,1,1,2,2] => 16
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [6,7,5,4,3,8,1,2] => [2,1,1,2,2] => 15
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]] => [1,5,7,6,4,3,8,2] => [7,5,6,4,3,8,1,2] => [1,2,1,2,2] => 14
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [6,5,7,4,3,8,1,2] => [1,2,1,2,2] => 14
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,5,6,7,4,3,8,2] => [5,6,7,4,3,8,1,2] => [3,1,2,2] => 13
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,4,7,6,5,3,8,2] => [7,6,4,5,3,8,1,2] => [1,1,2,2,2] => 13
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [6,7,4,5,3,8,1,2] => [2,2,2,2] => 12
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,5,4,7,6,3,8,2] => [5,7,4,6,3,8,1,2] => [2,2,2,2] => 12
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,4,5,7,6,3,8,2] => [7,4,5,6,3,8,1,2] => [1,3,2,2] => 11
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]] => [1,6,5,4,7,3,8,2] => [6,5,4,7,3,8,1,2] => [1,1,2,2,2] => 13
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [5,6,4,7,3,8,1,2] => [2,2,2,2] => 12
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [6,4,5,7,3,8,1,2] => [1,3,2,2] => 11
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [5,4,6,7,3,8,1,2] => [1,3,2,2] => 11
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [4,5,6,7,3,8,1,2] => [4,2,2] => 10
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [7,5,6,3,4,8,1,2] => [1,2,3,2] => 10
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [6,5,7,3,4,8,1,2] => [1,2,3,2] => 10
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [5,6,7,3,4,8,1,2] => [3,3,2] => 9
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [4,6,7,3,5,8,1,2] => [3,3,2] => 9
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [7,6,3,4,5,8,1,2] => [1,1,4,2] => 9
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [6,7,3,4,5,8,1,2] => [2,4,2] => 8
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,5,4,3,7,6,8,2] => [5,4,7,3,6,8,1,2] => [1,2,3,2] => 10
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [5,7,3,4,6,8,1,2] => [2,4,2] => 8
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,4,3,5,7,6,8,2] => [4,7,3,5,6,8,1,2] => [2,4,2] => 8
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [7,3,4,5,6,8,1,2] => [1,5,2] => 7
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [6,5,4,3,7,8,1,2] => [1,1,1,3,2] => 12
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [5,4,6,3,7,8,1,2] => [1,2,3,2] => 10
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,4,5,6,3,7,8,2] => [4,5,6,3,7,8,1,2] => [3,3,2] => 9
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [5,6,3,4,7,8,1,2] => [2,4,2] => 8
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [4,6,3,5,7,8,1,2] => [2,4,2] => 8
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [6,3,4,5,7,8,1,2] => [1,5,2] => 7
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [5,4,3,6,7,8,1,2] => [1,1,4,2] => 9
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [4,5,3,6,7,8,1,2] => [2,4,2] => 8
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [5,3,4,6,7,8,1,2] => [1,5,2] => 7
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [4,3,5,6,7,8,1,2] => [1,5,2] => 7
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [3,4,5,6,7,8,1,2] => [6,2] => 6
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [8,7,6,5,2,4,1,3] => [1,1,1,1,2,2] => 16
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [7,6,8,5,2,4,1,3] => [1,2,1,2,2] => 14
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [6,7,8,5,2,4,1,3] => [3,1,2,2] => 13
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [8,7,5,6,2,4,1,3] => [1,1,2,2,2] => 13
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [7,8,5,6,2,4,1,3] => [2,2,2,2] => 12
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [6,8,5,7,2,4,1,3] => [2,2,2,2] => 12
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [8,5,6,7,2,4,1,3] => [1,3,2,2] => 11
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [7,6,5,8,2,4,1,3] => [1,1,2,2,2] => 13
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [6,7,5,8,2,4,1,3] => [2,2,2,2] => 12
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [7,5,6,8,2,4,1,3] => [1,3,2,2] => 11
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [6,5,7,8,2,4,1,3] => [1,3,2,2] => 11
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [5,6,7,8,2,4,1,3] => [4,2,2] => 10
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [8,7,6,2,4,5,1,3] => [1,1,1,3,2] => 12
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [7,8,6,2,4,5,1,3] => [2,1,3,2] => 11
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [8,6,7,2,4,5,1,3] => [1,2,3,2] => 10
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [2,1,4,7,6,8,5,3] => [7,6,8,2,4,5,1,3] => [1,2,3,2] => 10
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [6,7,8,2,4,5,1,3] => [3,3,2] => 9
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [8,5,7,2,4,6,1,3] => [1,2,3,2] => 10
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [5,7,8,2,4,6,1,3] => [3,3,2] => 9
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [8,7,2,4,5,6,1,3] => [1,1,4,2] => 9
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [7,8,2,4,5,6,1,3] => [2,4,2] => 8
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [6,5,8,2,4,7,1,3] => [1,2,3,2] => 10
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [5,6,8,2,4,7,1,3] => [3,3,2] => 9
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [6,8,2,4,5,7,1,3] => [2,4,2] => 8
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [5,8,2,4,6,7,1,3] => [2,4,2] => 8
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [8,2,4,5,6,7,1,3] => [1,5,2] => 7
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [7,6,5,2,4,8,1,3] => [1,1,1,3,2] => 12
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [6,7,5,2,4,8,1,3] => [2,1,3,2] => 11
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [7,5,6,2,4,8,1,3] => [1,2,3,2] => 10
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [6,5,7,2,4,8,1,3] => [1,2,3,2] => 10
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [7,6,2,4,5,8,1,3] => [1,1,4,2] => 9
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [5,7,2,4,6,8,1,3] => [2,4,2] => 8
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [2,1,4,5,7,6,8,3] => [7,2,4,5,6,8,1,3] => [1,5,2] => 7
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [2,1,6,5,4,7,8,3] => [6,5,2,4,7,8,1,3] => [1,1,4,2] => 9
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [5,6,2,4,7,8,1,3] => [2,4,2] => 8
[[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [2,1,4,6,5,7,8,3] => [6,2,4,5,7,8,1,3] => [1,5,2] => 7
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [5,2,4,6,7,8,1,3] => [1,5,2] => 7
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,4,5,6,7,8,1,3] => [6,2] => 6
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [8,7,6,5,4,1,2,3] => [1,1,1,1,1,3] => 15
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [7,8,6,5,4,1,2,3] => [2,1,1,1,3] => 14
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => [7,6,8,5,4,1,2,3] => [1,2,1,1,3] => 13
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [6,7,8,5,4,1,2,3] => [3,1,1,3] => 12
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [1,2,5,7,8,6,4,3] => [7,8,5,6,4,1,2,3] => [2,2,1,3] => 11
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [6,8,5,7,4,1,2,3] => [2,2,1,3] => 11
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [8,5,6,7,4,1,2,3] => [1,3,1,3] => 10
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [7,6,5,8,4,1,2,3] => [1,1,2,1,3] => 12
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,2,6,7,5,8,4,3] => [6,7,5,8,4,1,2,3] => [2,2,1,3] => 11
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [7,5,6,8,4,1,2,3] => [1,3,1,3] => 10
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [6,5,7,8,4,1,2,3] => [1,3,1,3] => 10
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [5,6,7,8,4,1,2,3] => [4,1,3] => 9
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [8,7,6,4,5,1,2,3] => [1,1,1,2,3] => 11
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [7,8,6,4,5,1,2,3] => [2,1,2,3] => 10
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [8,6,7,4,5,1,2,3] => [1,2,2,3] => 9
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [6,7,8,4,5,1,2,3] => [3,2,3] => 8
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3] => [5,7,8,4,6,1,2,3] => [3,2,3] => 8
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [8,7,4,5,6,1,2,3] => [1,1,3,3] => 8
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [7,8,4,5,6,1,2,3] => [2,3,3] => 7
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [6,5,8,4,7,1,2,3] => [1,2,2,3] => 9
[[[.,.],.],[[[.,.],[.,.]],[.,.]]] => [1,2,4,6,5,8,7,3] => [6,8,4,5,7,1,2,3] => [2,3,3] => 7
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [8,4,5,6,7,1,2,3] => [1,4,3] => 6
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [7,6,5,4,8,1,2,3] => [1,1,1,2,3] => 11
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [1,2,6,7,5,4,8,3] => [6,7,5,4,8,1,2,3] => [2,1,2,3] => 10
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [7,5,6,4,8,1,2,3] => [1,2,2,3] => 9
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [1,2,6,5,7,4,8,3] => [6,5,7,4,8,1,2,3] => [1,2,2,3] => 9
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [5,6,7,4,8,1,2,3] => [3,2,3] => 8
[[[.,.],.],[[[.,.],[.,[.,.]]],.]] => [1,2,4,7,6,5,8,3] => [7,6,4,5,8,1,2,3] => [1,1,3,3] => 8
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [1,2,4,6,7,5,8,3] => [6,7,4,5,8,1,2,3] => [2,3,3] => 7
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [5,7,4,6,8,1,2,3] => [2,3,3] => 7
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [6,5,4,7,8,1,2,3] => [1,1,3,3] => 8
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [5,6,4,7,8,1,2,3] => [2,3,3] => 7
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,2,4,6,5,7,8,3] => [6,4,5,7,8,1,2,3] => [1,4,3] => 6
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [5,4,6,7,8,1,2,3] => [1,4,3] => 6
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [4,5,6,7,8,1,2,3] => [5,3] => 5
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [8,7,3,6,2,5,1,4] => [1,1,2,2,2] => 13
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [7,8,3,6,2,5,1,4] => [2,2,2,2] => 12
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [8,3,6,7,2,5,1,4] => [1,3,2,2] => 11
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [7,3,6,8,2,5,1,4] => [1,3,2,2] => 11
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,6,7,8,2,5,1,4] => [4,2,2] => 10
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [8,3,7,2,5,6,1,4] => [1,2,3,2] => 10
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,7,8,2,5,6,1,4] => [3,3,2] => 9
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,6,8,2,5,7,1,4] => [3,3,2] => 9
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,8,2,5,6,7,1,4] => [2,4,2] => 8
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [7,3,6,2,5,8,1,4] => [1,2,3,2] => 10
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,6,7,2,5,8,1,4] => [3,3,2] => 9
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,7,2,5,6,8,1,4] => [2,4,2] => 8
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,6,2,5,7,8,1,4] => [2,4,2] => 8
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,2,5,6,7,8,1,4] => [1,5,2] => 7
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [8,7,6,2,3,5,1,4] => [1,1,1,3,2] => 12
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => [7,8,6,2,3,5,1,4] => [2,1,3,2] => 11
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [8,6,7,2,3,5,1,4] => [1,2,3,2] => 10
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [7,6,8,2,3,5,1,4] => [1,2,3,2] => 10
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [6,7,8,2,3,5,1,4] => [3,3,2] => 9
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [7,8,2,3,5,6,1,4] => [2,4,2] => 8
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [6,8,2,3,5,7,1,4] => [2,4,2] => 8
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [2,3,1,5,6,8,7,4] => [8,2,3,5,6,7,1,4] => [1,5,2] => 7
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [7,6,2,3,5,8,1,4] => [1,1,4,2] => 9
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [7,2,3,5,6,8,1,4] => [1,5,2] => 7
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [2,3,1,6,5,7,8,4] => [6,2,3,5,7,8,1,4] => [1,5,2] => 7
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [2,3,5,6,7,8,1,4] => [6,2] => 6
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [8,7,6,3,5,1,2,4] => [1,1,1,2,3] => 11
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [1,3,2,7,8,6,5,4] => [7,8,6,3,5,1,2,4] => [2,1,2,3] => 10
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [8,6,7,3,5,1,2,4] => [1,2,2,3] => 9
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [7,6,8,3,5,1,2,4] => [1,2,2,3] => 9
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [6,7,8,3,5,1,2,4] => [3,2,3] => 8
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [8,7,3,5,6,1,2,4] => [1,1,3,3] => 8
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [7,8,3,5,6,1,2,4] => [2,3,3] => 7
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [6,8,3,5,7,1,2,4] => [2,3,3] => 7
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [8,3,5,6,7,1,2,4] => [1,4,3] => 6
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [7,6,3,5,8,1,2,4] => [1,1,3,3] => 8
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [6,7,3,5,8,1,2,4] => [2,3,3] => 7
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [7,3,5,6,8,1,2,4] => [1,4,3] => 6
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [6,3,5,7,8,1,2,4] => [1,4,3] => 6
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [3,5,6,7,8,1,2,4] => [5,3] => 5
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [8,7,6,2,5,1,3,4] => [1,1,1,2,3] => 11
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [7,8,6,2,5,1,3,4] => [2,1,2,3] => 10
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [8,6,7,2,5,1,3,4] => [1,2,2,3] => 9
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [2,1,3,7,6,8,5,4] => [7,6,8,2,5,1,3,4] => [1,2,2,3] => 9
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [6,7,8,2,5,1,3,4] => [3,2,3] => 8
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [2,1,3,5,8,7,6,4] => [8,7,2,5,6,1,3,4] => [1,1,3,3] => 8
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [2,1,3,5,7,8,6,4] => [7,8,2,5,6,1,3,4] => [2,3,3] => 7
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [6,8,2,5,7,1,3,4] => [2,3,3] => 7
[[[.,[.,.]],.],[[[.,.],.],[.,.]]] => [2,1,3,5,6,8,7,4] => [8,2,5,6,7,1,3,4] => [1,4,3] => 6
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [2,1,3,7,6,5,8,4] => [7,6,2,5,8,1,3,4] => [1,1,3,3] => 8
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [2,1,3,5,7,6,8,4] => [7,2,5,6,8,1,3,4] => [1,4,3] => 6
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [2,1,3,6,5,7,8,4] => [6,2,5,7,8,1,3,4] => [1,4,3] => 6
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,5,6,7,8,1,3,4] => [5,3] => 5
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [8,7,6,5,1,2,3,4] => [1,1,1,1,4] => 10
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [7,8,6,5,1,2,3,4] => [2,1,1,4] => 9
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [8,6,7,5,1,2,3,4] => [1,2,1,4] => 8
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [7,6,8,5,1,2,3,4] => [1,2,1,4] => 8
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [6,7,8,5,1,2,3,4] => [3,1,4] => 7
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [8,7,5,6,1,2,3,4] => [1,1,2,4] => 7
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [7,8,5,6,1,2,3,4] => [2,2,4] => 6
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [6,8,5,7,1,2,3,4] => [2,2,4] => 6
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [8,5,6,7,1,2,3,4] => [1,3,4] => 5
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [7,6,5,8,1,2,3,4] => [1,1,2,4] => 7
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [6,7,5,8,1,2,3,4] => [2,2,4] => 6
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [7,5,6,8,1,2,3,4] => [1,3,4] => 5
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [6,5,7,8,1,2,3,4] => [1,3,4] => 5
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [5,6,7,8,1,2,3,4] => [4,4] => 4
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,8,3,7,2,6,1,5] => [2,2,2,2] => 12
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,3,7,8,2,6,1,5] => [1,3,2,2] => 11
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,3,8,2,6,7,1,5] => [1,2,3,2] => 10
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,3,7,2,6,8,1,5] => [1,2,3,2] => 10
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,3,2,6,7,8,1,5] => [1,1,4,2] => 9
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [8,3,4,7,2,6,1,5] => [1,3,2,2] => 11
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [3,4,7,8,2,6,1,5] => [4,2,2] => 10
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [3,4,8,2,6,7,1,5] => [3,3,2] => 9
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [3,4,7,2,6,8,1,5] => [3,3,2] => 9
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [3,4,2,6,7,8,1,5] => [2,4,2] => 8
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [8,4,7,2,3,6,1,5] => [1,2,3,2] => 10
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [4,7,8,2,3,6,1,5] => [3,3,2] => 9
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [4,8,2,3,6,7,1,5] => [2,4,2] => 8
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [4,7,2,3,6,8,1,5] => [2,4,2] => 8
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [4,2,3,6,7,8,1,5] => [1,5,2] => 7
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [8,3,7,2,4,6,1,5] => [1,2,3,2] => 10
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [3,7,8,2,4,6,1,5] => [3,3,2] => 9
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [3,8,2,4,6,7,1,5] => [2,4,2] => 8
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [3,7,2,4,6,8,1,5] => [2,4,2] => 8
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [3,2,4,6,7,8,1,5] => [1,5,2] => 7
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [8,7,2,3,4,6,1,5] => [1,1,4,2] => 9
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [7,8,2,3,4,6,1,5] => [2,4,2] => 8
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [8,2,3,4,6,7,1,5] => [1,5,2] => 7
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [7,2,3,4,6,8,1,5] => [1,5,2] => 7
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [2,3,4,6,7,8,1,5] => [6,2] => 6
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [8,4,7,3,6,1,2,5] => [1,2,2,3] => 9
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,4,3,2,7,8,6,5] => [4,7,8,3,6,1,2,5] => [3,2,3] => 8
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [4,8,3,6,7,1,2,5] => [2,3,3] => 7
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [4,7,3,6,8,1,2,5] => [2,3,3] => 7
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [4,3,6,7,8,1,2,5] => [1,4,3] => 6
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [8,7,3,4,6,1,2,5] => [1,1,3,3] => 8
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [7,8,3,4,6,1,2,5] => [2,3,3] => 7
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [7,3,4,6,8,1,2,5] => [1,4,3] => 6
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [3,4,6,7,8,1,2,5] => [5,3] => 5
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [8,7,2,4,6,1,3,5] => [1,1,3,3] => 8
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [7,8,2,4,6,1,3,5] => [2,3,3] => 7
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [8,2,4,6,7,1,3,5] => [1,4,3] => 6
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [7,2,4,6,8,1,3,5] => [1,4,3] => 6
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,4,6,7,8,1,3,5] => [5,3] => 5
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [8,7,4,6,1,2,3,5] => [1,1,2,4] => 7
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [7,8,4,6,1,2,3,5] => [2,2,4] => 6
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [8,4,6,7,1,2,3,5] => [1,3,4] => 5
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [7,4,6,8,1,2,3,5] => [1,3,4] => 5
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [4,6,7,8,1,2,3,5] => [4,4] => 4
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [8,3,7,2,6,1,4,5] => [1,2,2,3] => 9
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,7,8,2,6,1,4,5] => [3,2,3] => 8
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,8,2,6,7,1,4,5] => [2,3,3] => 7
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,7,2,6,8,1,4,5] => [2,3,3] => 7
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,2,6,7,8,1,4,5] => [1,4,3] => 6
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [8,7,2,3,6,1,4,5] => [1,1,3,3] => 8
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [7,8,2,3,6,1,4,5] => [2,3,3] => 7
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [2,3,1,4,6,8,7,5] => [8,2,3,6,7,1,4,5] => [1,4,3] => 6
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [7,2,3,6,8,1,4,5] => [1,4,3] => 6
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [2,3,6,7,8,1,4,5] => [5,3] => 5
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [8,7,3,6,1,2,4,5] => [1,1,2,4] => 7
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [7,3,6,8,1,2,4,5] => [1,3,4] => 5
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [3,6,7,8,1,2,4,5] => [4,4] => 4
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [8,7,2,6,1,3,4,5] => [1,1,2,4] => 7
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [7,8,2,6,1,3,4,5] => [2,2,4] => 6
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [2,1,3,4,6,8,7,5] => [8,2,6,7,1,3,4,5] => [1,3,4] => 5
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [7,2,6,8,1,3,4,5] => [1,3,4] => 5
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,6,7,8,1,3,4,5] => [4,4] => 4
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [8,7,6,1,2,3,4,5] => [1,1,1,5] => 6
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [7,8,6,1,2,3,4,5] => [2,1,5] => 5
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [8,6,7,1,2,3,4,5] => [1,2,5] => 4
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [7,6,8,1,2,3,4,5] => [1,2,5] => 4
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [6,7,8,1,2,3,4,5] => [3,5] => 3
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,4,3,8,2,7,1,6] => [1,1,2,2,2] => 13
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,4,3,2,7,8,1,6] => [1,1,1,3,2] => 12
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [4,5,3,8,2,7,1,6] => [2,2,2,2] => 12
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [4,5,3,2,1,7,8,6] => [4,5,3,2,7,8,1,6] => [2,1,3,2] => 11
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [5,3,4,8,2,7,1,6] => [1,3,2,2] => 11
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [5,3,4,2,7,8,1,6] => [1,2,3,2] => 10
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [4,3,5,8,2,7,1,6] => [1,3,2,2] => 11
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [4,3,5,2,1,7,8,6] => [4,3,5,2,7,8,1,6] => [1,2,3,2] => 10
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [3,4,5,8,2,7,1,6] => [4,2,2] => 10
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [3,4,5,2,7,8,1,6] => [3,3,2] => 9
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [5,4,8,2,3,7,1,6] => [1,2,3,2] => 10
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [5,4,2,3,7,8,1,6] => [1,1,4,2] => 9
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [4,5,8,2,3,7,1,6] => [3,3,2] => 9
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [4,5,2,3,7,8,1,6] => [2,4,2] => 8
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [3,5,8,2,4,7,1,6] => [3,3,2] => 9
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [3,5,2,4,7,8,1,6] => [2,4,2] => 8
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [5,8,2,3,4,7,1,6] => [2,4,2] => 8
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [2,3,5,4,1,7,8,6] => [5,2,3,4,7,8,1,6] => [1,5,2] => 7
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [4,3,8,2,5,7,1,6] => [1,2,3,2] => 10
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [4,3,2,5,7,8,1,6] => [1,1,4,2] => 9
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [3,4,8,2,5,7,1,6] => [3,3,2] => 9
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [3,4,2,5,7,8,1,6] => [2,4,2] => 8
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [4,8,2,3,5,7,1,6] => [2,4,2] => 8
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [4,2,3,5,7,8,1,6] => [1,5,2] => 7
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [3,8,2,4,5,7,1,6] => [2,4,2] => 8
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [3,2,4,5,1,7,8,6] => [3,2,4,5,7,8,1,6] => [1,5,2] => 7
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [8,2,3,4,5,7,1,6] => [1,5,2] => 7
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [2,3,4,5,7,8,1,6] => [6,2] => 6
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [5,4,8,3,7,1,2,6] => [1,2,2,3] => 9
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [5,4,3,7,8,1,2,6] => [1,1,3,3] => 8
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [4,5,8,3,7,1,2,6] => [3,2,3] => 8
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [4,5,3,7,8,1,2,6] => [2,3,3] => 7
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [5,3,4,7,8,1,2,6] => [1,4,3] => 6
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [4,8,3,5,7,1,2,6] => [2,3,3] => 7
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [4,3,5,7,8,1,2,6] => [1,4,3] => 6
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [8,3,4,5,7,1,2,6] => [1,4,3] => 6
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [3,4,5,7,8,1,2,6] => [5,3] => 5
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] => [2,1,5,4,3,8,7,6] => [5,8,2,4,7,1,3,6] => [2,3,3] => 7
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [2,1,5,4,3,7,8,6] => [5,2,4,7,8,1,3,6] => [1,4,3] => 6
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [8,2,4,5,7,1,3,6] => [1,4,3] => 6
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [2,1,4,5,3,7,8,6] => [2,4,5,7,8,1,3,6] => [5,3] => 5
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [5,8,4,7,1,2,3,6] => [2,2,4] => 6
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [5,4,7,8,1,2,3,6] => [1,3,4] => 5
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [8,4,5,7,1,2,3,6] => [1,3,4] => 5
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [4,5,7,8,1,2,3,6] => [4,4] => 4
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] => [3,2,1,5,4,8,7,6] => [3,8,2,5,7,1,4,6] => [2,3,3] => 7
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [2,3,1,5,4,7,8,6] => [2,3,5,7,8,1,4,6] => [5,3] => 5
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [8,3,5,7,1,2,4,6] => [1,3,4] => 5
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [3,5,7,8,1,2,4,6] => [4,4] => 4
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [8,2,5,7,1,3,4,6] => [1,3,4] => 5
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,5,7,8,1,3,4,6] => [4,4] => 4
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [8,5,7,1,2,3,4,6] => [1,2,5] => 4
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [5,7,8,1,2,3,4,6] => [3,5] => 3
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [4,3,8,2,7,1,5,6] => [1,2,2,3] => 9
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,3,2,7,8,1,5,6] => [1,1,3,3] => 8
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [3,4,2,1,5,8,7,6] => [3,4,8,2,7,1,5,6] => [3,2,3] => 8
[[[.,[.,[[.,.],.]]],.],[[.,.],.]] => [3,4,2,1,5,7,8,6] => [3,4,2,7,8,1,5,6] => [2,3,3] => 7
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [4,8,2,3,7,1,5,6] => [2,3,3] => 7
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [3,8,2,4,7,1,5,6] => [2,3,3] => 7
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [3,2,4,7,8,1,5,6] => [1,4,3] => 6
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [8,2,3,4,7,1,5,6] => [1,4,3] => 6
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [2,3,4,7,8,1,5,6] => [5,3] => 5
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [4,8,3,7,1,2,5,6] => [2,2,4] => 6
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [4,3,7,8,1,2,5,6] => [1,3,4] => 5
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [3,4,7,8,1,2,5,6] => [4,4] => 4
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [8,2,4,7,1,3,5,6] => [1,3,4] => 5
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,4,7,8,1,3,5,6] => [4,4] => 4
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [8,4,7,1,2,3,5,6] => [1,2,5] => 4
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [4,7,8,1,2,3,5,6] => [3,5] => 3
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,8,2,7,1,4,5,6] => [2,2,4] => 6
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [3,2,7,8,1,4,5,6] => [1,3,4] => 5
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [2,3,1,4,5,8,7,6] => [8,2,3,7,1,4,5,6] => [1,3,4] => 5
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [2,3,7,8,1,4,5,6] => [4,4] => 4
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [8,3,7,1,2,4,5,6] => [1,2,5] => 4
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [3,7,8,1,2,4,5,6] => [3,5] => 3
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [8,2,7,1,3,4,5,6] => [1,2,5] => 4
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,7,8,1,3,4,5,6] => [3,5] => 3
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [8,7,1,2,3,4,5,6] => [1,1,6] => 3
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [7,8,1,2,3,4,5,6] => [2,6] => 2
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [6,5,4,3,2,8,1,7] => [1,1,1,1,2,2] => 16
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [5,6,4,3,2,8,1,7] => [2,1,1,2,2] => 15
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [6,4,5,3,2,8,1,7] => [1,2,1,2,2] => 14
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [4,5,6,3,2,8,1,7] => [3,1,2,2] => 13
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [6,5,3,4,2,8,1,7] => [1,1,2,2,2] => 13
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [5,6,3,4,2,8,1,7] => [2,2,2,2] => 12
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [4,6,3,5,2,8,1,7] => [2,2,2,2] => 12
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [6,3,4,5,2,8,1,7] => [1,3,2,2] => 11
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [5,4,3,6,2,8,1,7] => [1,1,2,2,2] => 13
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [4,5,3,6,2,8,1,7] => [2,2,2,2] => 12
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [3,5,4,6,2,1,8,7] => [5,3,4,6,2,8,1,7] => [1,3,2,2] => 11
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [4,3,5,6,2,8,1,7] => [1,3,2,2] => 11
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => [3,4,5,6,2,8,1,7] => [4,2,2] => 10
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [6,5,4,2,3,8,1,7] => [1,1,1,3,2] => 12
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => [5,6,4,2,3,8,1,7] => [2,1,3,2] => 11
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [6,4,5,2,3,8,1,7] => [1,2,3,2] => 10
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [2,5,4,6,3,1,8,7] => [5,4,6,2,3,8,1,7] => [1,2,3,2] => 10
[[.,[[.,.],[[[.,.],.],.]]],[.,.]] => [2,4,5,6,3,1,8,7] => [4,5,6,2,3,8,1,7] => [3,3,2] => 9
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [6,3,5,2,4,8,1,7] => [1,2,3,2] => 10
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [3,5,6,2,4,8,1,7] => [3,3,2] => 9
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [6,5,2,3,4,8,1,7] => [1,1,4,2] => 9
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [4,3,6,2,5,8,1,7] => [1,2,3,2] => 10
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [3,4,6,2,5,8,1,7] => [3,3,2] => 9
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [4,6,2,3,5,8,1,7] => [2,4,2] => 8
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [3,2,4,6,5,1,8,7] => [3,6,2,4,5,8,1,7] => [2,4,2] => 8
[[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [2,3,4,6,5,1,8,7] => [6,2,3,4,5,8,1,7] => [1,5,2] => 7
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [5,4,3,2,6,8,1,7] => [1,1,1,3,2] => 12
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => [4,5,3,2,6,8,1,7] => [2,1,3,2] => 11
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [5,3,4,2,6,8,1,7] => [1,2,3,2] => 10
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [4,3,5,2,6,8,1,7] => [1,2,3,2] => 10
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [3,4,5,2,6,8,1,7] => [3,3,2] => 9
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [5,4,2,3,6,8,1,7] => [1,1,4,2] => 9
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [3,5,2,4,6,8,1,7] => [2,4,2] => 8
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [4,3,2,5,6,8,1,7] => [1,1,4,2] => 9
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [3,4,2,5,6,8,1,7] => [2,4,2] => 8
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [4,2,3,5,6,8,1,7] => [1,5,2] => 7
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [2,3,4,5,6,8,1,7] => [6,2] => 6
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [6,5,4,3,8,1,2,7] => [1,1,1,2,3] => 11
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [5,6,4,3,8,1,2,7] => [2,1,2,3] => 10
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [5,4,6,3,8,1,2,7] => [1,2,2,3] => 9
[[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,4,5,6,3,2,8,7] => [4,5,6,3,8,1,2,7] => [3,2,3] => 8
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [6,5,3,4,8,1,2,7] => [1,1,3,3] => 8
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [1,3,5,6,4,2,8,7] => [5,6,3,4,8,1,2,7] => [2,3,3] => 7
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [1,3,4,6,5,2,8,7] => [6,3,4,5,8,1,2,7] => [1,4,3] => 6
[[[.,.],[[[[.,.],.],.],.]],[.,.]] => [1,3,4,5,6,2,8,7] => [3,4,5,6,8,1,2,7] => [5,3] => 5
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [6,5,2,4,8,1,3,7] => [1,1,3,3] => 8
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [5,6,2,4,8,1,3,7] => [2,3,3] => 7
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [6,2,4,5,8,1,3,7] => [1,4,3] => 6
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [5,2,4,6,8,1,3,7] => [1,4,3] => 6
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,4,5,6,8,1,3,7] => [5,3] => 5
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [1,2,6,5,4,3,8,7] => [6,5,4,8,1,2,3,7] => [1,1,2,4] => 7
[[[[.,.],.],[.,[[.,.],.]]],[.,.]] => [1,2,5,6,4,3,8,7] => [5,6,4,8,1,2,3,7] => [2,2,4] => 6
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [1,2,4,6,5,3,8,7] => [6,4,5,8,1,2,3,7] => [1,3,4] => 5
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [1,2,5,4,6,3,8,7] => [5,4,6,8,1,2,3,7] => [1,3,4] => 5
[[[[.,.],.],[[[.,.],.],.]],[.,.]] => [1,2,4,5,6,3,8,7] => [4,5,6,8,1,2,3,7] => [4,4] => 4
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [3,6,2,5,8,1,4,7] => [2,3,3] => 7
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]] => [3,2,1,5,6,4,8,7] => [3,2,5,6,8,1,4,7] => [1,4,3] => 6
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [6,2,3,5,8,1,4,7] => [1,4,3] => 6
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [2,3,1,5,6,4,8,7] => [2,3,5,6,8,1,4,7] => [5,3] => 5
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]] => [1,3,2,6,5,4,8,7] => [6,3,5,8,1,2,4,7] => [1,3,4] => 5
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [3,5,6,8,1,2,4,7] => [4,4] => 4
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [2,1,3,6,5,4,8,7] => [6,2,5,8,1,3,4,7] => [1,3,4] => 5
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [2,5,6,8,1,3,4,7] => [4,4] => 4
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [6,5,8,1,2,3,4,7] => [1,2,5] => 4
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [5,6,8,1,2,3,4,7] => [3,5] => 3
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,3,2,6,8,1,5,7] => [1,1,3,3] => 8
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [3,4,2,6,8,1,5,7] => [2,3,3] => 7
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [4,2,3,6,8,1,5,7] => [1,4,3] => 6
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [3,2,4,6,8,1,5,7] => [1,4,3] => 6
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [2,3,4,6,8,1,5,7] => [5,3] => 5
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,4,3,2,6,5,8,7] => [4,3,6,8,1,2,5,7] => [1,3,4] => 5
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [3,4,6,8,1,2,5,7] => [4,4] => 4
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,4,6,8,1,3,5,7] => [4,4] => 4
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [4,6,8,1,2,3,5,7] => [3,5] => 3
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [3,2,1,4,6,5,8,7] => [3,2,6,8,1,4,5,7] => [1,3,4] => 5
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [2,3,6,8,1,4,5,7] => [4,4] => 4
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [3,6,8,1,2,4,5,7] => [3,5] => 3
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,6,8,1,3,4,5,7] => [3,5] => 3
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [6,8,1,2,3,4,5,7] => [2,6] => 2
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [5,4,3,2,8,1,6,7] => [1,1,1,2,3] => 11
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [4,3,5,2,8,1,6,7] => [1,2,2,3] => 9
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [3,4,5,2,8,1,6,7] => [3,2,3] => 8
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]] => [2,5,4,3,1,6,8,7] => [5,4,2,3,8,1,6,7] => [1,1,3,3] => 8
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [3,5,2,4,8,1,6,7] => [2,3,3] => 7
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [5,2,3,4,8,1,6,7] => [1,4,3] => 6
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [4,3,2,5,1,6,8,7] => [4,3,2,5,8,1,6,7] => [1,1,3,3] => 8
[[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [3,4,2,5,1,6,8,7] => [3,4,2,5,8,1,6,7] => [2,3,3] => 7
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [4,2,3,5,8,1,6,7] => [1,4,3] => 6
[[[.,[[[.,[.,.]],.],.]],.],[.,.]] => [3,2,4,5,1,6,8,7] => [3,2,4,5,8,1,6,7] => [1,4,3] => 6
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [2,3,4,5,8,1,6,7] => [5,3] => 5
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [1,5,4,3,2,6,8,7] => [5,4,3,8,1,2,6,7] => [1,1,2,4] => 7
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [5,3,4,8,1,2,6,7] => [1,3,4] => 5
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [1,4,3,5,2,6,8,7] => [4,3,5,8,1,2,6,7] => [1,3,4] => 5
[[[[.,.],[[[.,.],.],.]],.],[.,.]] => [1,3,4,5,2,6,8,7] => [3,4,5,8,1,2,6,7] => [4,4] => 4
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [5,2,4,8,1,3,6,7] => [1,3,4] => 5
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,4,5,8,1,3,6,7] => [4,4] => 4
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [5,4,8,1,2,3,6,7] => [1,2,5] => 4
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,2,4,5,3,6,8,7] => [4,5,8,1,2,3,6,7] => [3,5] => 3
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [3,2,1,5,4,6,8,7] => [3,2,5,8,1,4,6,7] => [1,3,4] => 5
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [1,3,2,5,4,6,8,7] => [3,5,8,1,2,4,6,7] => [3,5] => 3
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,5,8,1,3,4,6,7] => [3,5] => 3
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [5,8,1,2,3,4,6,7] => [2,6] => 2
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [4,3,2,8,1,5,6,7] => [1,1,2,4] => 7
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [3,4,2,1,5,6,8,7] => [3,4,2,8,1,5,6,7] => [2,2,4] => 6
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [2,4,3,1,5,6,8,7] => [4,2,3,8,1,5,6,7] => [1,3,4] => 5
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [3,2,4,8,1,5,6,7] => [1,3,4] => 5
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [2,3,4,8,1,5,6,7] => [4,4] => 4
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [4,3,8,1,2,5,6,7] => [1,2,5] => 4
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [3,4,8,1,2,5,6,7] => [3,5] => 3
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,4,8,1,3,5,6,7] => [3,5] => 3
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [4,8,1,2,3,5,6,7] => [2,6] => 2
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [3,2,8,1,4,5,6,7] => [1,2,5] => 4
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [2,3,8,1,4,5,6,7] => [3,5] => 3
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [3,8,1,2,4,5,6,7] => [2,6] => 2
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,8,1,3,4,5,6,7] => [2,6] => 2
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => [1,7] => 1
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,2] => 21
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [6,7,5,4,3,2,1,8] => [2,1,1,1,1,2] => 20
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [7,5,6,4,3,2,1,8] => [1,2,1,1,1,2] => 19
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [6,5,7,4,3,2,1,8] => [1,2,1,1,1,2] => 19
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [5,6,7,4,3,2,1,8] => [3,1,1,1,2] => 18
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [7,6,4,5,3,2,1,8] => [1,1,2,1,1,2] => 18
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [6,7,4,5,3,2,1,8] => [2,2,1,1,2] => 17
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [5,7,4,6,3,2,1,8] => [2,2,1,1,2] => 17
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [7,4,5,6,3,2,1,8] => [1,3,1,1,2] => 16
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [6,5,4,7,3,2,1,8] => [1,1,2,1,1,2] => 18
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [5,6,4,7,3,2,1,8] => [2,2,1,1,2] => 17
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [5,4,6,7,3,2,1,8] => [1,3,1,1,2] => 16
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [4,5,6,7,3,2,1,8] => [4,1,1,2] => 15
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [3,7,6,5,4,2,1,8] => [7,6,5,3,4,2,1,8] => [1,1,1,2,1,2] => 17
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [7,5,6,3,4,2,1,8] => [1,2,2,1,2] => 15
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [7,4,6,3,5,2,1,8] => [1,2,2,1,2] => 15
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [7,6,3,4,5,2,1,8] => [1,1,3,1,2] => 14
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [5,4,7,3,6,2,1,8] => [1,2,2,1,2] => 15
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [5,7,3,4,6,2,1,8] => [2,3,1,2] => 13
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [4,3,5,7,6,2,1,8] => [4,7,3,5,6,2,1,8] => [2,3,1,2] => 13
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [6,5,4,3,7,2,1,8] => [1,1,1,2,1,2] => 17
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [5,6,4,3,7,2,1,8] => [2,1,2,1,2] => 16
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.] => [4,6,5,3,7,2,1,8] => [6,4,5,3,7,2,1,8] => [1,2,2,1,2] => 15
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [5,4,6,3,7,2,1,8] => [1,2,2,1,2] => 15
[[.,[.,[[.,[[[.,.],.],.]],.]]],.] => [4,5,6,3,7,2,1,8] => [4,5,6,3,7,2,1,8] => [3,2,1,2] => 14
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [5,6,3,4,7,2,1,8] => [2,3,1,2] => 13
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [4,6,3,5,7,2,1,8] => [2,3,1,2] => 13
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [5,4,3,6,7,2,1,8] => [1,1,3,1,2] => 14
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [4,5,3,6,7,2,1,8] => [4,5,3,6,7,2,1,8] => [2,3,1,2] => 13
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [3,4,5,6,7,2,1,8] => [5,1,2] => 11
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [7,6,5,4,2,3,1,8] => [1,1,1,1,2,2] => 16
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] => [2,6,7,5,4,3,1,8] => [6,7,5,4,2,3,1,8] => [2,1,1,2,2] => 15
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [7,5,6,4,2,3,1,8] => [1,2,1,2,2] => 14
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [2,4,7,6,5,3,1,8] => [7,6,4,5,2,3,1,8] => [1,1,2,2,2] => 13
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [6,7,4,5,2,3,1,8] => [2,2,2,2] => 12
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [5,7,4,6,2,3,1,8] => [2,2,2,2] => 12
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [2,4,5,7,6,3,1,8] => [7,4,5,6,2,3,1,8] => [1,3,2,2] => 11
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [5,6,4,7,2,3,1,8] => [2,2,2,2] => 12
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [5,4,6,7,2,3,1,8] => [1,3,2,2] => 11
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [4,5,6,7,2,3,1,8] => [4,2,2] => 10
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [7,6,3,5,2,4,1,8] => [1,1,2,2,2] => 13
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [6,7,3,5,2,4,1,8] => [2,2,2,2] => 12
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [7,3,5,6,2,4,1,8] => [1,3,2,2] => 11
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [6,3,5,7,2,4,1,8] => [1,3,2,2] => 11
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [3,5,6,7,2,4,1,8] => [4,2,2] => 10
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [7,6,5,2,3,4,1,8] => [1,1,1,3,2] => 12
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [5,6,7,2,3,4,1,8] => [3,3,2] => 9
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [4,3,2,7,6,5,1,8] => [4,7,3,6,2,5,1,8] => [2,2,2,2] => 12
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [7,3,4,6,2,5,1,8] => [1,3,2,2] => 11
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [3,4,6,7,2,5,1,8] => [4,2,2] => 10
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [2,4,3,7,6,5,1,8] => [7,4,6,2,3,5,1,8] => [1,2,3,2] => 10
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [3,2,4,7,6,5,1,8] => [7,3,6,2,4,5,1,8] => [1,2,3,2] => 10
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [7,6,2,3,4,5,1,8] => [1,1,4,2] => 9
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [6,7,2,3,4,5,1,8] => [2,4,2] => 8
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [5,4,3,7,2,6,1,8] => [1,1,2,2,2] => 13
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [4,5,3,7,2,6,1,8] => [2,2,2,2] => 12
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [5,3,4,7,2,6,1,8] => [1,3,2,2] => 11
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [4,3,5,7,2,6,1,8] => [1,3,2,2] => 11
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [3,5,7,2,4,6,1,8] => [3,3,2] => 9
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [4,3,7,2,5,6,1,8] => [1,2,3,2] => 10
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [3,4,7,2,5,6,1,8] => [3,3,2] => 9
[[.,[[[[.,.],[.,.]],.],[.,.]]],.] => [2,4,3,5,7,6,1,8] => [4,7,2,3,5,6,1,8] => [2,4,2] => 8
[[.,[[[[.,[.,.]],.],.],[.,.]]],.] => [3,2,4,5,7,6,1,8] => [3,7,2,4,5,6,1,8] => [2,4,2] => 8
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [7,2,3,4,5,6,1,8] => [1,5,2] => 7
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [6,5,4,3,2,7,1,8] => [1,1,1,1,2,2] => 16
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [5,4,6,3,2,7,1,8] => [1,2,1,2,2] => 14
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [5,6,3,4,2,7,1,8] => [2,2,2,2] => 12
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [4,3,6,5,2,7,1,8] => [4,6,3,5,2,7,1,8] => [2,2,2,2] => 12
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8] => [6,3,4,5,2,7,1,8] => [1,3,2,2] => 11
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [5,4,3,6,2,7,1,8] => [1,1,2,2,2] => 13
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [4,5,3,6,2,7,1,8] => [2,2,2,2] => 12
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [5,3,4,6,2,7,1,8] => [1,3,2,2] => 11
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [4,3,5,6,2,7,1,8] => [1,3,2,2] => 11
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [3,4,5,6,2,7,1,8] => [4,2,2] => 10
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [2,4,6,5,3,7,1,8] => [6,4,5,2,3,7,1,8] => [1,2,3,2] => 10
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [5,4,6,2,3,7,1,8] => [1,2,3,2] => 10
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [2,4,5,6,3,7,1,8] => [4,5,6,2,3,7,1,8] => [3,3,2] => 9
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [6,3,5,2,4,7,1,8] => [1,2,3,2] => 10
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [5,6,2,3,4,7,1,8] => [2,4,2] => 8
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [4,3,6,2,5,7,1,8] => [1,2,3,2] => 10
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [3,4,6,2,5,7,1,8] => [3,3,2] => 9
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [4,6,2,3,5,7,1,8] => [2,4,2] => 8
[[.,[[[[.,[.,.]],.],[.,.]],.]],.] => [3,2,4,6,5,7,1,8] => [3,6,2,4,5,7,1,8] => [2,4,2] => 8
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [6,2,3,4,5,7,1,8] => [1,5,2] => 7
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [5,4,3,2,6,7,1,8] => [1,1,1,3,2] => 12
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [4,5,3,2,6,7,1,8] => [4,5,3,2,6,7,1,8] => [2,1,3,2] => 11
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => [5,3,4,2,6,7,1,8] => [1,2,3,2] => 10
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [3,4,5,2,6,7,1,8] => [3,3,2] => 9
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [5,4,2,3,6,7,1,8] => [1,1,4,2] => 9
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [2,4,5,3,6,7,1,8] => [4,5,2,3,6,7,1,8] => [2,4,2] => 8
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [5,2,3,4,6,7,1,8] => [1,5,2] => 7
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [4,3,2,5,6,7,1,8] => [1,1,4,2] => 9
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [3,4,2,5,6,7,1,8] => [2,4,2] => 8
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [2,4,3,5,6,7,1,8] => [4,2,3,5,6,7,1,8] => [1,5,2] => 7
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [3,2,4,5,6,7,1,8] => [1,5,2] => 7
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [2,3,4,5,6,7,1,8] => [6,2] => 6
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [7,6,5,4,3,1,2,8] => [1,1,1,1,1,3] => 15
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [6,7,5,4,3,1,2,8] => [2,1,1,1,3] => 14
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [1,5,7,6,4,3,2,8] => [7,5,6,4,3,1,2,8] => [1,2,1,1,3] => 13
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [6,5,7,4,3,1,2,8] => [1,2,1,1,3] => 13
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [5,6,7,4,3,1,2,8] => [3,1,1,3] => 12
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [7,6,4,5,3,1,2,8] => [1,1,2,1,3] => 12
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [5,7,4,6,3,1,2,8] => [2,2,1,3] => 11
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [1,4,5,7,6,3,2,8] => [7,4,5,6,3,1,2,8] => [1,3,1,3] => 10
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [5,4,6,7,3,1,2,8] => [1,3,1,3] => 10
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [4,5,6,7,3,1,2,8] => [4,1,3] => 9
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [7,6,5,3,4,1,2,8] => [1,1,1,2,3] => 11
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [6,7,5,3,4,1,2,8] => [2,1,2,3] => 10
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [7,5,6,3,4,1,2,8] => [1,2,2,3] => 9
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [5,6,7,3,4,1,2,8] => [3,2,3] => 8
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [1,4,3,7,6,5,2,8] => [7,4,6,3,5,1,2,8] => [1,2,2,3] => 9
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [6,7,3,4,5,1,2,8] => [2,3,3] => 7
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [1,4,5,3,7,6,2,8] => [4,5,7,3,6,1,2,8] => [3,2,3] => 8
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [5,7,3,4,6,1,2,8] => [2,3,3] => 7
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [4,7,3,5,6,1,2,8] => [2,3,3] => 7
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [7,3,4,5,6,1,2,8] => [1,4,3] => 6
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [1,6,5,4,3,7,2,8] => [6,5,4,3,7,1,2,8] => [1,1,1,2,3] => 11
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [1,5,6,4,3,7,2,8] => [5,6,4,3,7,1,2,8] => [2,1,2,3] => 10
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [5,4,6,3,7,1,2,8] => [1,2,2,3] => 9
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [6,5,3,4,7,1,2,8] => [1,1,3,3] => 8
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [5,6,3,4,7,1,2,8] => [2,3,3] => 7
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [4,6,3,5,7,1,2,8] => [2,3,3] => 7
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [6,3,4,5,7,1,2,8] => [1,4,3] => 6
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [4,5,3,6,7,1,2,8] => [2,3,3] => 7
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [5,3,4,6,7,1,2,8] => [1,4,3] => 6
[[[.,.],[[[[.,[.,.]],.],.],.]],.] => [1,4,3,5,6,7,2,8] => [4,3,5,6,7,1,2,8] => [1,4,3] => 6
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [3,4,5,6,7,1,2,8] => [5,3] => 5
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [7,6,5,2,4,1,3,8] => [1,1,1,2,3] => 11
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [6,7,5,2,4,1,3,8] => [2,1,2,3] => 10
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [6,7,2,4,5,1,3,8] => [2,3,3] => 7
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.] => [2,1,5,4,7,6,3,8] => [5,7,2,4,6,1,3,8] => [2,3,3] => 7
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [2,1,6,5,4,7,3,8] => [6,5,2,4,7,1,3,8] => [1,1,3,3] => 8
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [2,1,5,6,4,7,3,8] => [5,6,2,4,7,1,3,8] => [2,3,3] => 7
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [2,1,5,4,6,7,3,8] => [5,2,4,6,7,1,3,8] => [1,4,3] => 6
[[[.,[.,.]],[[[[.,.],.],.],.]],.] => [2,1,4,5,6,7,3,8] => [2,4,5,6,7,1,3,8] => [5,3] => 5
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [7,6,5,4,1,2,3,8] => [1,1,1,1,4] => 10
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [6,7,5,4,1,2,3,8] => [2,1,1,4] => 9
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [7,5,6,4,1,2,3,8] => [1,2,1,4] => 8
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [5,6,7,4,1,2,3,8] => [3,1,4] => 7
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [1,2,4,7,6,5,3,8] => [7,6,4,5,1,2,3,8] => [1,1,2,4] => 7
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [6,7,4,5,1,2,3,8] => [2,2,4] => 6
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [1,2,5,4,7,6,3,8] => [5,7,4,6,1,2,3,8] => [2,2,4] => 6
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [1,2,4,5,7,6,3,8] => [7,4,5,6,1,2,3,8] => [1,3,4] => 5
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [5,6,4,7,1,2,3,8] => [2,2,4] => 6
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,2,4,6,5,7,3,8] => [6,4,5,7,1,2,3,8] => [1,3,4] => 5
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [4,5,6,7,1,2,3,8] => [4,4] => 4
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [7,3,6,2,5,1,4,8] => [1,2,2,3] => 9
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [3,6,7,2,5,1,4,8] => [3,2,3] => 8
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,7,2,5,6,1,4,8] => [2,3,3] => 7
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [3,2,1,6,5,7,4,8] => [3,6,2,5,7,1,4,8] => [2,3,3] => 7
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,2,5,6,7,1,4,8] => [1,4,3] => 6
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.] => [2,3,1,7,6,5,4,8] => [7,6,2,3,5,1,4,8] => [1,1,3,3] => 8
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [6,7,2,3,5,1,4,8] => [2,3,3] => 7
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [6,2,3,5,7,1,4,8] => [1,4,3] => 6
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [2,3,5,6,7,1,4,8] => [5,3] => 5
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [7,6,3,5,1,2,4,8] => [1,1,2,4] => 7
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [6,7,3,5,1,2,4,8] => [2,2,4] => 6
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [7,3,5,6,1,2,4,8] => [1,3,4] => 5
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [6,3,5,7,1,2,4,8] => [1,3,4] => 5
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [3,5,6,7,1,2,4,8] => [4,4] => 4
[[[[.,[.,.]],.],[.,[[.,.],.]]],.] => [2,1,3,6,7,5,4,8] => [6,7,2,5,1,3,4,8] => [2,2,4] => 6
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [7,6,5,1,2,3,4,8] => [1,1,1,5] => 6
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [6,7,5,1,2,3,4,8] => [2,1,5] => 5
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [7,5,6,1,2,3,4,8] => [1,2,5] => 4
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [6,5,7,1,2,3,4,8] => [1,2,5] => 4
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [5,6,7,1,2,3,4,8] => [3,5] => 3
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [4,3,7,2,6,1,5,8] => [1,2,2,3] => 9
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [4,3,2,6,7,1,5,8] => [1,1,3,3] => 8
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [3,7,2,4,6,1,5,8] => [2,3,3] => 7
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [3,2,4,6,7,1,5,8] => [1,4,3] => 6
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [7,2,3,4,6,1,5,8] => [1,4,3] => 6
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [2,3,4,6,7,1,5,8] => [5,3] => 5
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [4,7,3,6,1,2,5,8] => [2,2,4] => 6
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [4,3,6,7,1,2,5,8] => [1,3,4] => 5
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [1,3,4,2,7,6,5,8] => [7,3,4,6,1,2,5,8] => [1,3,4] => 5
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [3,4,6,7,1,2,5,8] => [4,4] => 4
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.] => [2,1,4,3,7,6,5,8] => [7,2,4,6,1,3,5,8] => [1,3,4] => 5
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => [2,4,6,7,1,3,5,8] => [4,4] => 4
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [1,2,4,3,7,6,5,8] => [7,4,6,1,2,3,5,8] => [1,2,5] => 4
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [4,6,7,1,2,3,5,8] => [3,5] => 3
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [3,7,2,6,1,4,5,8] => [2,2,4] => 6
[[[[.,[.,[.,.]]],.],[[.,.],.]],.] => [3,2,1,4,6,7,5,8] => [3,2,6,7,1,4,5,8] => [1,3,4] => 5
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [2,3,6,7,1,4,5,8] => [4,4] => 4
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [7,3,6,1,2,4,5,8] => [1,2,5] => 4
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,3,2,4,6,7,5,8] => [3,6,7,1,2,4,5,8] => [3,5] => 3
[[[[[.,[.,.]],.],.],[[.,.],.]],.] => [2,1,3,4,6,7,5,8] => [2,6,7,1,3,4,5,8] => [3,5] => 3
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [7,6,1,2,3,4,5,8] => [1,1,6] => 3
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [6,7,1,2,3,4,5,8] => [2,6] => 2
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [5,4,3,2,7,1,6,8] => [1,1,1,2,3] => 11
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [4,5,3,2,7,1,6,8] => [2,1,2,3] => 10
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [5,3,4,2,7,1,6,8] => [1,2,2,3] => 9
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [4,3,5,2,1,7,6,8] => [4,3,5,2,7,1,6,8] => [1,2,2,3] => 9
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [3,4,5,2,7,1,6,8] => [3,2,3] => 8
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] => [2,5,4,3,1,7,6,8] => [5,4,2,3,7,1,6,8] => [1,1,3,3] => 8
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [3,5,2,4,7,1,6,8] => [2,3,3] => 7
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [5,2,3,4,7,1,6,8] => [1,4,3] => 6
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [4,3,2,5,1,7,6,8] => [4,3,2,5,7,1,6,8] => [1,1,3,3] => 8
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [3,4,2,5,7,1,6,8] => [2,3,3] => 7
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [3,2,4,5,1,7,6,8] => [3,2,4,5,7,1,6,8] => [1,4,3] => 6
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [2,3,4,5,7,1,6,8] => [5,3] => 5
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [5,4,3,7,1,2,6,8] => [1,1,2,4] => 7
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [4,5,3,7,1,2,6,8] => [2,2,4] => 6
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [5,3,4,7,1,2,6,8] => [1,3,4] => 5
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [4,3,5,7,1,2,6,8] => [1,3,4] => 5
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [3,4,5,7,1,2,6,8] => [4,4] => 4
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [5,2,4,7,1,3,6,8] => [1,3,4] => 5
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [1,2,5,4,3,7,6,8] => [5,4,7,1,2,3,6,8] => [1,2,5] => 4
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [4,5,7,1,2,3,6,8] => [3,5] => 3
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,2,5,7,1,4,6,8] => [1,3,4] => 5
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [2,3,5,7,1,4,6,8] => [4,4] => 4
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [3,5,7,1,2,4,6,8] => [3,5] => 3
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [5,7,1,2,3,4,6,8] => [2,6] => 2
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [4,3,2,7,1,5,6,8] => [1,1,2,4] => 7
[[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [3,4,2,1,5,7,6,8] => [3,4,2,7,1,5,6,8] => [2,2,4] => 6
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [2,4,3,1,5,7,6,8] => [4,2,3,7,1,5,6,8] => [1,3,4] => 5
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [3,2,4,7,1,5,6,8] => [1,3,4] => 5
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [2,3,4,7,1,5,6,8] => [4,4] => 4
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [3,4,7,1,2,5,6,8] => [3,5] => 3
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [4,7,1,2,3,5,6,8] => [2,6] => 2
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => [3,2,7,1,4,5,6,8] => [1,2,5] => 4
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [2,3,7,1,4,5,6,8] => [3,5] => 3
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [3,7,1,2,4,5,6,8] => [2,6] => 2
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [2,7,1,3,4,5,6,8] => [2,6] => 2
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [7,1,2,3,4,5,6,8] => [1,7] => 1
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => [1,1,1,1,1,3] => 15
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [5,6,4,3,2,1,7,8] => [2,1,1,1,3] => 14
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [5,4,6,3,2,1,7,8] => [1,2,1,1,3] => 13
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [4,5,6,3,2,1,7,8] => [3,1,1,3] => 12
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [6,5,3,4,2,1,7,8] => [1,1,2,1,3] => 12
[[[.,[.,[[.,.],[[.,.],.]]]],.],.] => [3,5,6,4,2,1,7,8] => [5,6,3,4,2,1,7,8] => [2,2,1,3] => 11
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [5,4,3,6,2,1,7,8] => [1,1,2,1,3] => 12
[[[.,[.,[[.,[[.,.],.]],.]]],.],.] => [4,5,3,6,2,1,7,8] => [4,5,3,6,2,1,7,8] => [2,2,1,3] => 11
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [4,3,5,6,2,1,7,8] => [4,3,5,6,2,1,7,8] => [1,3,1,3] => 10
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [3,4,5,6,2,1,7,8] => [4,1,3] => 9
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [6,4,5,2,3,1,7,8] => [1,2,2,3] => 9
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [2,5,4,6,3,1,7,8] => [5,4,6,2,3,1,7,8] => [1,2,2,3] => 9
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => [4,5,6,2,3,1,7,8] => [3,2,3] => 8
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [2,3,6,5,4,1,7,8] => [6,5,2,3,4,1,7,8] => [1,1,3,3] => 8
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [5,6,2,3,4,1,7,8] => [2,3,3] => 7
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [4,3,6,2,5,1,7,8] => [1,2,2,3] => 9
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [3,4,2,6,5,1,7,8] => [3,4,6,2,5,1,7,8] => [3,2,3] => 8
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [4,6,2,3,5,1,7,8] => [2,3,3] => 7
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [6,2,3,4,5,1,7,8] => [1,4,3] => 6
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [5,4,3,2,6,1,7,8] => [1,1,1,2,3] => 11
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [4,5,3,2,6,1,7,8] => [2,1,2,3] => 10
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [4,3,5,2,6,1,7,8] => [1,2,2,3] => 9
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [3,4,5,2,6,1,7,8] => [3,2,3] => 8
[[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [2,5,4,3,6,1,7,8] => [5,4,2,3,6,1,7,8] => [1,1,3,3] => 8
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [5,2,3,4,6,1,7,8] => [1,4,3] => 6
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [4,3,2,5,6,1,7,8] => [1,1,3,3] => 8
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [3,4,2,5,6,1,7,8] => [2,3,3] => 7
[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [2,4,3,5,6,1,7,8] => [4,2,3,5,6,1,7,8] => [1,4,3] => 6
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [3,2,4,5,6,1,7,8] => [1,4,3] => 6
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [2,3,4,5,6,1,7,8] => [5,3] => 5
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [6,5,4,3,1,2,7,8] => [1,1,1,1,4] => 10
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [5,6,4,3,1,2,7,8] => [2,1,1,4] => 9
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [6,4,5,3,1,2,7,8] => [1,2,1,4] => 8
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [5,4,6,3,1,2,7,8] => [1,2,1,4] => 8
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8] => [4,5,6,3,1,2,7,8] => [3,1,4] => 7
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [1,3,6,5,4,2,7,8] => [6,5,3,4,1,2,7,8] => [1,1,2,4] => 7
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [5,6,3,4,1,2,7,8] => [2,2,4] => 6
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [4,6,3,5,1,2,7,8] => [2,2,4] => 6
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [5,4,3,6,1,2,7,8] => [1,1,2,4] => 7
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [4,5,3,6,1,2,7,8] => [2,2,4] => 6
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8] => [5,3,4,6,1,2,7,8] => [1,3,4] => 5
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [3,4,5,6,1,2,7,8] => [4,4] => 4
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [6,2,4,5,1,3,7,8] => [1,3,4] => 5
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [2,1,4,5,6,3,7,8] => [2,4,5,6,1,3,7,8] => [4,4] => 4
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [6,5,4,1,2,3,7,8] => [1,1,1,5] => 6
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [6,4,5,1,2,3,7,8] => [1,2,5] => 4
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [4,5,6,1,2,3,7,8] => [3,5] => 3
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [3,6,2,5,1,4,7,8] => [2,2,4] => 6
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [3,2,5,6,1,4,7,8] => [1,3,4] => 5
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [2,3,5,6,1,4,7,8] => [4,4] => 4
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [6,3,5,1,2,4,7,8] => [1,2,5] => 4
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [3,5,6,1,2,4,7,8] => [3,5] => 3
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [2,1,3,5,6,4,7,8] => [2,5,6,1,3,4,7,8] => [3,5] => 3
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [6,5,1,2,3,4,7,8] => [1,1,6] => 3
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [5,6,1,2,3,4,7,8] => [2,6] => 2
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [4,3,2,6,1,5,7,8] => [1,1,2,4] => 7
[[[[.,[.,[[.,.],.]]],[.,.]],.],.] => [3,4,2,1,6,5,7,8] => [3,4,2,6,1,5,7,8] => [2,2,4] => 6
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [3,2,4,6,1,5,7,8] => [1,3,4] => 5
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [2,3,4,6,1,5,7,8] => [4,4] => 4
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,4,6,1,3,5,7,8] => [3,5] => 3
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [4,6,1,2,3,5,7,8] => [2,6] => 2
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [3,2,1,4,6,5,7,8] => [3,2,6,1,4,5,7,8] => [1,2,5] => 4
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [2,3,1,4,6,5,7,8] => [2,3,6,1,4,5,7,8] => [3,5] => 3
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [3,6,1,2,4,5,7,8] => [2,6] => 2
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [2,6,1,3,4,5,7,8] => [2,6] => 2
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [6,1,2,3,4,5,7,8] => [1,7] => 1
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => [1,1,1,1,4] => 10
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [4,5,3,2,1,6,7,8] => [2,1,1,4] => 9
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [5,3,4,2,1,6,7,8] => [1,2,1,4] => 8
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [4,3,5,2,1,6,7,8] => [1,2,1,4] => 8
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [3,4,5,2,1,6,7,8] => [3,1,4] => 7
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [5,4,2,3,1,6,7,8] => [1,1,2,4] => 7
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [4,5,2,3,1,6,7,8] => [2,2,4] => 6
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [3,5,2,4,1,6,7,8] => [2,2,4] => 6
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [5,2,3,4,1,6,7,8] => [1,3,4] => 5
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [4,3,2,5,1,6,7,8] => [1,1,2,4] => 7
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [3,4,2,5,1,6,7,8] => [2,2,4] => 6
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [4,2,3,5,1,6,7,8] => [1,3,4] => 5
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [3,2,4,5,1,6,7,8] => [1,3,4] => 5
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [2,3,4,5,1,6,7,8] => [4,4] => 4
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [5,4,3,1,2,6,7,8] => [1,1,1,5] => 6
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [4,5,3,1,2,6,7,8] => [2,1,5] => 5
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [5,3,4,1,2,6,7,8] => [1,2,5] => 4
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [3,4,5,1,2,6,7,8] => [3,5] => 3
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [5,2,4,1,3,6,7,8] => [1,2,5] => 4
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [2,4,5,1,3,6,7,8] => [3,5] => 3
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [5,4,1,2,3,6,7,8] => [1,1,6] => 3
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8] => [4,5,1,2,3,6,7,8] => [2,6] => 2
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [3,2,5,1,4,6,7,8] => [1,2,5] => 4
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [2,3,5,1,4,6,7,8] => [3,5] => 3
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [3,5,1,2,4,6,7,8] => [2,6] => 2
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [2,5,1,3,4,6,7,8] => [2,6] => 2
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [5,1,2,3,4,6,7,8] => [1,7] => 1
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [1,1,1,5] => 6
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [3,4,2,1,5,6,7,8] => [2,1,5] => 5
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => [1,2,5] => 4
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => [1,2,5] => 4
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [3,5] => 3
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [4,3,1,2,5,6,7,8] => [1,1,6] => 3
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [3,4,1,2,5,6,7,8] => [2,6] => 2
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [2,4,1,3,5,6,7,8] => [2,6] => 2
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [4,1,2,3,5,6,7,8] => [1,7] => 1
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [1,1,6] => 3
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [2,6] => 2
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [1,7] => 1
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [1,7] => 1
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8] => 0
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [3,4,5,6,7,8,9,2,1] => [7,1,1] => 15
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,9,1] => [8,1] => 8
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1] => 45
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [2,4,5,6,7,8,9,3,1] => [4,5,6,7,8,9,2,3,1] => [6,2,1] => 14
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [3,4,5,6,7,8,9,10,2,1] => [8,1,1] => 17
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [2,3,4,5,6,7,8,9,10,1] => [9,1] => 9
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] => [1,3,5,7,9,11,12,10,8,6,4,2] => [11,12,9,10,7,8,5,6,3,4,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]] => [1,3,5,7,10,11,9,12,8,6,4,2] => [10,11,9,12,7,8,5,6,3,4,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]] => [1,3,5,8,10,11,9,7,12,6,4,2] => [10,11,8,9,7,12,5,6,3,4,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]] => [1,3,5,9,10,8,11,7,12,6,4,2] => [9,10,8,11,7,12,5,6,3,4,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]] => [1,3,6,8,10,11,9,7,5,12,4,2] => [10,11,8,9,6,7,5,12,3,4,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]] => [1,3,6,9,10,8,11,7,5,12,4,2] => [9,10,8,11,6,7,5,12,3,4,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]] => [1,3,7,9,10,8,6,11,5,12,4,2] => [9,10,7,8,6,11,5,12,3,4,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]] => [1,3,8,9,7,10,6,11,5,12,4,2] => [8,9,7,10,6,11,5,12,3,4,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]] => [1,4,6,8,10,11,9,7,5,3,12,2] => [10,11,8,9,6,7,4,5,3,12,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]] => [1,4,6,9,10,8,11,7,5,3,12,2] => [9,10,8,11,6,7,4,5,3,12,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]] => [1,4,7,9,10,8,6,11,5,3,12,2] => [9,10,7,8,6,11,4,5,3,12,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]] => [1,4,8,9,7,10,6,11,5,3,12,2] => [8,9,7,10,6,11,4,5,3,12,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]] => [1,5,7,9,10,8,6,4,11,3,12,2] => [9,10,7,8,5,6,4,11,3,12,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]] => [1,5,8,9,7,10,6,4,11,3,12,2] => [8,9,7,10,5,6,4,11,3,12,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]] => [1,6,8,9,7,5,10,4,11,3,12,2] => [8,9,6,7,5,10,4,11,3,12,1,2] => [2,2,2,2,2,2] => 30
[[.,.],[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]] => [1,7,8,6,9,5,10,4,11,3,12,2] => [7,8,6,9,5,10,4,11,3,12,1,2] => [2,2,2,2,2,2] => 30
[[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.] => [2,4,6,8,10,11,9,7,5,3,1,12] => [10,11,8,9,6,7,4,5,2,3,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]],.] => [2,4,6,9,10,8,11,7,5,3,1,12] => [9,10,8,11,6,7,4,5,2,3,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]],.] => [2,4,7,9,10,8,6,11,5,3,1,12] => [9,10,7,8,6,11,4,5,2,3,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]],.] => [2,4,8,9,7,10,6,11,5,3,1,12] => [8,9,7,10,6,11,4,5,2,3,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]],.] => [2,5,7,9,10,8,6,4,11,3,1,12] => [9,10,7,8,5,6,4,11,2,3,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]],.] => [2,5,8,9,7,10,6,4,11,3,1,12] => [8,9,7,10,5,6,4,11,2,3,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]],.] => [2,6,8,9,7,5,10,4,11,3,1,12] => [8,9,6,7,5,10,4,11,2,3,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]],.] => [2,7,8,6,9,5,10,4,11,3,1,12] => [7,8,6,9,5,10,4,11,2,3,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]],.] => [3,5,7,9,10,8,6,4,2,11,1,12] => [9,10,7,8,5,6,3,4,2,11,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]],.] => [3,5,8,9,7,10,6,4,2,11,1,12] => [8,9,7,10,5,6,3,4,2,11,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]],.] => [3,6,8,9,7,5,10,4,2,11,1,12] => [8,9,6,7,5,10,3,4,2,11,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]],.] => [3,7,8,6,9,5,10,4,2,11,1,12] => [7,8,6,9,5,10,3,4,2,11,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]],.] => [4,6,8,9,7,5,3,10,2,11,1,12] => [8,9,6,7,4,5,3,10,2,11,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]],.] => [4,7,8,6,9,5,3,10,2,11,1,12] => [7,8,6,9,4,5,3,10,2,11,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]],.] => [5,7,8,6,4,9,3,10,2,11,1,12] => [7,8,5,6,4,9,3,10,2,11,1,12] => [2,2,2,2,2,2] => 30
[[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.] => [6,7,5,8,4,9,3,10,2,11,1,12] => [6,7,5,8,4,9,3,10,2,11,1,12] => [2,2,2,2,2,2] => 30
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,4,6,8,10,1,3,5,7,9] => [5,5] => 5
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,4,6,8,10,12,1,3,5,7,9,11] => [6,6] => 6
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [9,1,2,3,4,5,6,7,8] => [1,8] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [10,1,2,3,4,5,6,7,8,9] => [1,9] => 1
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [3,2,4,5,6,7,8,9,1] => [1,7,1] => 9
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [11,1,2,3,4,5,6,7,8,9,10] => [1,10] => 1
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [2,4,3,5,6,7,8,9,1] => [4,2,3,5,6,7,8,9,1] => [1,7,1] => 9
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [3,2,4,5,6,7,8,9,10,1] => [1,8,1] => 10
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [2,3,4,5,6,7,8,9,10,11,1] => [10,1] => 10
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [6,7,8,9,10,1,2,3,4,5] => [5,5] => 5
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [4,3,5,6,7,8,9,1,2] => [1,6,2] => 8
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [8,9,7,6,5,4,3,2,1,10] => [2,1,1,1,1,1,1,2] => 35
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,9,10,8,7,6,5,4,3,2] => [9,10,8,7,6,5,4,3,1,2] => [2,1,1,1,1,1,1,2] => 35
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [10,9,8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,2,2] => 29
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [10,9,4,8,3,7,2,6,1,5] => [1,1,2,2,2,2] => 21
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,5,4,10,3,9,2,8,1,7] => [1,1,2,2,2,2] => 21
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [8,7,6,5,4,3,2,10,1,9] => [1,1,1,1,1,1,2,2] => 29
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [1,8] => 1
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => [1,8] => 1
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [1,9] => 1
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [9,2,3,4,5,6,7,8,1] => [1,7,1] => 9
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [1,10] => 1
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [10,2,3,4,5,6,7,8,9,1] => [1,8,1] => 10
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [3,4,5,6,7,8,2,9,1] => [6,2,1] => 14
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [2,3,4,5,6,8,7,1,9] => [8,2,3,4,5,6,7,1,9] => [1,6,2] => 8
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => [1,8] => 1
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => [1,8] => 1
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [6,1,2,3,4,5,7,8,9] => [1,8] => 1
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [7,1,2,3,4,5,6,8,9] => [1,8] => 1
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [8,1,2,3,4,5,6,7,9] => [1,8] => 1
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => [1,9] => 1
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => [1,9] => 1
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => [1,9] => 1
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => [1,9] => 1
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => [1,9] => 1
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [8,1,2,3,4,5,6,7,9,10] => [1,9] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [9,1,2,3,4,5,6,7,8,10] => [1,9] => 1
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [9,3,4,5,6,7,8,1,2] => [1,6,2] => 8
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,1] => [4,3,2,5,6,7,8,9,1] => [1,1,6,1] => 11
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1] => [6,5,4,3,2,7,8,9,1] => [1,1,1,1,4,1] => 18
[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,10,1] => [4,3,2,5,6,7,8,9,10,1] => [1,1,7,1] => 12
[.,[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]] => [6,5,4,3,2,7,8,9,10,1] => [6,5,4,3,2,7,8,9,10,1] => [1,1,1,1,5,1] => 19
[[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10,11] => [3,1,2,4,5,6,7,8,9,10,11] => [1,10] => 1
[[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]],.] => [4,9,8,7,6,5,3,2,1,10] => [9,8,7,6,4,5,3,2,1,10] => [1,1,1,1,2,1,1,2] => 31
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [3,2,4,5,6,7,8,1,9] => [1,6,2] => 8
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [10,1,2,3,4,5,6,7,8,9,11] => [1,10] => 1
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,2,1,1 1,3,3,3,2,1,1 1,4,6,7,7,5,5,3,2,1,1 1,5,10,14,17,16,16,14,11,9,7,5,3,2,1,1 1,6,15,25,35,40,43,44,40,37,32,28,22,18,13,11,7,5,3,2,1,1
F1=1
F2=1+q
F3=1+2 q+q2+q3
F4=1+3 q+3 q2+3 q3+2 q4+q5+q6
F5=1+4 q+6 q2+7 q3+7 q4+5 q5+5 q6+3 q7+2 q8+q9+q10
F6=1+5 q+10 q2+14 q3+17 q4+16 q5+16 q6+14 q7+11 q8+9 q9+7 q10+5 q11+3 q12+2 q13+q14+q15
F7=1+6 q+15 q2+25 q3+35 q4+40 q5+43 q6+44 q7+40 q8+37 q9+32 q10+28 q11+22 q12+18 q13+13 q14+11 q15+7 q16+5 q17+3 q18+2 q19+q20+q21
Description
The major index of the composition.
The descents of a composition [c1,c2,…,ck] are the partial sums c1,c1+c2,…,c1+⋯+ck−1, excluding the sum of all parts. The major index of a composition is the sum of its descents.
For details about the major index see Permutations/Descents-Major.
The descents of a composition [c1,c2,…,ck] are the partial sums c1,c1+c2,…,c1+⋯+ck−1, excluding the sum of all parts. The major index of a composition is the sum of its descents.
For details about the major index see Permutations/Descents-Major.
Map
to 312-avoiding permutation
Description
Return a 312-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 minimal element of this 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 minimal element of this Sylvester class.
Map
descent composition
Description
The descent composition of a permutation.
The descent composition of a permutation π of length n is the integer composition of n whose descent set equals the descent set of π. The descent set of a permutation π is {i∣1≤i<n,π(i)>π(i+1)}. The descent set of a composition c=(i1,i2,…,ik) is the set {i1,i1+i2,i1+i2+i3,…,i1+i2+⋯+ik−1}.
The descent composition of a permutation π of length n is the integer composition of n whose descent set equals the descent set of π. The descent set of a permutation π is {i∣1≤i<n,π(i)>π(i+1)}. The descent set of a composition c=(i1,i2,…,ik) is the set {i1,i1+i2,i1+i2+i3,…,i1+i2+⋯+ik−1}.
Map
inverse Foata bijection
Description
The inverse of Foata's bijection.
See Mp00067Foata bijection.
See Mp00067Foata bijection.
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