Identifier
-
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00252: Permutations —restriction⟶ Permutations
St000141: Permutations ⟶ ℤ
Values
[.,[.,.]] => [2,1] => [1,2] => [1] => 0
[[.,.],.] => [1,2] => [2,1] => [1] => 0
[.,[.,[.,.]]] => [3,2,1] => [1,2,3] => [1,2] => 0
[.,[[.,.],.]] => [2,3,1] => [1,3,2] => [1,2] => 0
[[.,.],[.,.]] => [1,3,2] => [2,3,1] => [2,1] => 1
[[.,[.,.]],.] => [2,1,3] => [3,1,2] => [1,2] => 0
[[[.,.],.],.] => [1,2,3] => [3,2,1] => [2,1] => 1
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,2,3,4] => [1,2,3] => 0
[.,[.,[[.,.],.]]] => [3,4,2,1] => [1,2,4,3] => [1,2,3] => 0
[.,[[.,.],[.,.]]] => [2,4,3,1] => [1,3,4,2] => [1,3,2] => 1
[.,[[.,[.,.]],.]] => [3,2,4,1] => [1,4,2,3] => [1,2,3] => 0
[.,[[[.,.],.],.]] => [2,3,4,1] => [1,4,3,2] => [1,3,2] => 1
[[.,.],[.,[.,.]]] => [1,4,3,2] => [2,3,4,1] => [2,3,1] => 1
[[.,.],[[.,.],.]] => [1,3,4,2] => [2,4,3,1] => [2,3,1] => 1
[[.,[.,.]],[.,.]] => [2,1,4,3] => [3,4,1,2] => [3,1,2] => 2
[[[.,.],.],[.,.]] => [1,2,4,3] => [3,4,2,1] => [3,2,1] => 2
[[.,[.,[.,.]]],.] => [3,2,1,4] => [4,1,2,3] => [1,2,3] => 0
[[.,[[.,.],.]],.] => [2,3,1,4] => [4,1,3,2] => [1,3,2] => 1
[[[.,.],[.,.]],.] => [1,3,2,4] => [4,2,3,1] => [2,3,1] => 1
[[[.,[.,.]],.],.] => [2,1,3,4] => [4,3,1,2] => [3,1,2] => 2
[[[[.,.],.],.],.] => [1,2,3,4] => [4,3,2,1] => [3,2,1] => 2
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,2,3,4,5] => [1,2,3,4] => 0
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [1,2,3,5,4] => [1,2,3,4] => 0
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [1,2,4,5,3] => [1,2,4,3] => 1
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [1,2,5,3,4] => [1,2,3,4] => 0
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [1,2,5,4,3] => [1,2,4,3] => 1
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [1,3,4,5,2] => [1,3,4,2] => 1
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [1,3,5,4,2] => [1,3,4,2] => 1
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [1,4,5,2,3] => [1,4,2,3] => 2
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [1,4,5,3,2] => [1,4,3,2] => 2
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [1,5,2,3,4] => [1,2,3,4] => 0
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [1,5,2,4,3] => [1,2,4,3] => 1
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [1,5,3,4,2] => [1,3,4,2] => 1
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [1,5,4,2,3] => [1,4,2,3] => 2
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,5,4,3,2] => [1,4,3,2] => 2
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [2,3,4,5,1] => [2,3,4,1] => 1
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [2,3,5,4,1] => [2,3,4,1] => 1
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [2,4,5,3,1] => [2,4,3,1] => 2
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [2,5,3,4,1] => [2,3,4,1] => 1
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [2,5,4,3,1] => [2,4,3,1] => 2
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [3,4,5,1,2] => [3,4,1,2] => 2
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [3,5,4,1,2] => [3,4,1,2] => 2
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [3,4,5,2,1] => [3,4,2,1] => 2
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [3,5,4,2,1] => [3,4,2,1] => 2
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [4,5,1,2,3] => [4,1,2,3] => 3
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [4,5,1,3,2] => [4,1,3,2] => 3
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [4,5,2,3,1] => [4,2,3,1] => 3
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [4,5,3,1,2] => [4,3,1,2] => 3
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [4,5,3,2,1] => [4,3,2,1] => 3
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [5,1,2,3,4] => [1,2,3,4] => 0
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [5,1,2,4,3] => [1,2,4,3] => 1
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [5,1,3,4,2] => [1,3,4,2] => 1
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [5,1,4,2,3] => [1,4,2,3] => 2
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [5,1,4,3,2] => [1,4,3,2] => 2
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [5,2,3,4,1] => [2,3,4,1] => 1
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [5,2,4,3,1] => [2,4,3,1] => 2
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [5,3,4,1,2] => [3,4,1,2] => 2
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [5,3,4,2,1] => [3,4,2,1] => 2
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [5,4,1,2,3] => [4,1,2,3] => 3
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [5,4,1,3,2] => [4,1,3,2] => 3
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [5,4,2,3,1] => [4,2,3,1] => 3
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [5,4,3,1,2] => [4,3,1,2] => 3
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [5,4,3,2,1] => [4,3,2,1] => 3
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5] => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [1,2,3,4,6,5] => [1,2,3,4,5] => 0
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [1,2,3,5,6,4] => [1,2,3,5,4] => 1
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [1,2,3,6,4,5] => [1,2,3,4,5] => 0
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [1,2,3,6,5,4] => [1,2,3,5,4] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [1,2,4,5,6,3] => [1,2,4,5,3] => 1
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [1,2,4,6,5,3] => [1,2,4,5,3] => 1
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [1,2,5,6,3,4] => [1,2,5,3,4] => 2
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [1,2,5,6,4,3] => [1,2,5,4,3] => 2
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [1,2,6,3,4,5] => [1,2,3,4,5] => 0
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [1,2,6,3,5,4] => [1,2,3,5,4] => 1
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [1,2,6,4,5,3] => [1,2,4,5,3] => 1
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [1,2,6,5,3,4] => [1,2,5,3,4] => 2
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [1,2,6,5,4,3] => [1,2,5,4,3] => 2
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [1,3,4,5,6,2] => [1,3,4,5,2] => 1
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [1,3,4,6,5,2] => [1,3,4,5,2] => 1
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [1,3,5,6,4,2] => [1,3,5,4,2] => 2
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [1,3,6,4,5,2] => [1,3,4,5,2] => 1
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [1,3,6,5,4,2] => [1,3,5,4,2] => 2
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [1,4,5,6,2,3] => [1,4,5,2,3] => 2
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [1,4,6,5,2,3] => [1,4,5,2,3] => 2
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [1,4,5,6,3,2] => [1,4,5,3,2] => 2
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [1,4,6,5,3,2] => [1,4,5,3,2] => 2
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [1,5,6,2,3,4] => [1,5,2,3,4] => 3
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [1,5,6,2,4,3] => [1,5,2,4,3] => 3
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [1,5,6,3,4,2] => [1,5,3,4,2] => 3
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [1,5,6,4,2,3] => [1,5,4,2,3] => 3
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [1,5,6,4,3,2] => [1,5,4,3,2] => 3
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [1,6,2,3,4,5] => [1,2,3,4,5] => 0
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [1,6,2,3,5,4] => [1,2,3,5,4] => 1
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [1,6,2,4,5,3] => [1,2,4,5,3] => 1
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [1,6,2,5,3,4] => [1,2,5,3,4] => 2
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [1,6,2,5,4,3] => [1,2,5,4,3] => 2
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [1,6,3,4,5,2] => [1,3,4,5,2] => 1
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [1,6,3,5,4,2] => [1,3,5,4,2] => 2
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [1,6,4,5,2,3] => [1,4,5,2,3] => 2
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [1,6,4,5,3,2] => [1,4,5,3,2] => 2
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [1,6,5,2,3,4] => [1,5,2,3,4] => 3
>>> Load all 745 entries. <<<[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [1,6,5,2,4,3] => [1,5,2,4,3] => 3
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [1,6,5,3,4,2] => [1,5,3,4,2] => 3
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [1,6,5,4,2,3] => [1,5,4,2,3] => 3
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,6,5,4,3,2] => [1,5,4,3,2] => 3
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [2,3,4,5,6,1] => [2,3,4,5,1] => 1
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [2,3,4,6,5,1] => [2,3,4,5,1] => 1
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [2,3,5,6,4,1] => [2,3,5,4,1] => 2
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [2,3,6,4,5,1] => [2,3,4,5,1] => 1
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [2,3,6,5,4,1] => [2,3,5,4,1] => 2
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [2,4,5,6,3,1] => [2,4,5,3,1] => 2
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [2,4,6,5,3,1] => [2,4,5,3,1] => 2
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [2,5,6,3,4,1] => [2,5,3,4,1] => 3
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [2,5,6,4,3,1] => [2,5,4,3,1] => 3
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [2,6,3,4,5,1] => [2,3,4,5,1] => 1
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [2,6,3,5,4,1] => [2,3,5,4,1] => 2
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [2,6,4,5,3,1] => [2,4,5,3,1] => 2
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [2,6,5,3,4,1] => [2,5,3,4,1] => 3
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [2,6,5,4,3,1] => [2,5,4,3,1] => 3
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [3,4,5,6,1,2] => [3,4,5,1,2] => 2
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [3,4,6,5,1,2] => [3,4,5,1,2] => 2
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [3,5,6,4,1,2] => [3,5,4,1,2] => 3
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [3,6,4,5,1,2] => [3,4,5,1,2] => 2
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [3,6,5,4,1,2] => [3,5,4,1,2] => 3
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [3,4,5,6,2,1] => [3,4,5,2,1] => 2
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [3,4,6,5,2,1] => [3,4,5,2,1] => 2
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,5,6,4,2,1] => [3,5,4,2,1] => 3
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [3,6,4,5,2,1] => [3,4,5,2,1] => 2
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [3,6,5,4,2,1] => [3,5,4,2,1] => 3
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [4,5,6,1,2,3] => [4,5,1,2,3] => 3
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [4,6,5,1,2,3] => [4,5,1,2,3] => 3
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [4,5,6,1,3,2] => [4,5,1,3,2] => 3
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [4,6,5,1,3,2] => [4,5,1,3,2] => 3
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [4,5,6,2,3,1] => [4,5,2,3,1] => 3
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [4,6,5,2,3,1] => [4,5,2,3,1] => 3
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [4,5,6,3,1,2] => [4,5,3,1,2] => 3
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [4,6,5,3,1,2] => [4,5,3,1,2] => 3
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [4,5,6,3,2,1] => [4,5,3,2,1] => 3
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [4,6,5,3,2,1] => [4,5,3,2,1] => 3
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [5,6,1,2,3,4] => [5,1,2,3,4] => 4
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [5,6,1,2,4,3] => [5,1,2,4,3] => 4
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [5,6,1,3,4,2] => [5,1,3,4,2] => 4
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [5,6,1,4,2,3] => [5,1,4,2,3] => 4
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [5,6,1,4,3,2] => [5,1,4,3,2] => 4
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [5,6,2,3,4,1] => [5,2,3,4,1] => 4
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [5,6,2,4,3,1] => [5,2,4,3,1] => 4
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [5,6,3,4,1,2] => [5,3,4,1,2] => 4
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [5,6,3,4,2,1] => [5,3,4,2,1] => 4
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [5,6,4,1,2,3] => [5,4,1,2,3] => 4
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [5,6,4,1,3,2] => [5,4,1,3,2] => 4
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [5,6,4,2,3,1] => [5,4,2,3,1] => 4
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [5,6,4,3,1,2] => [5,4,3,1,2] => 4
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [5,6,4,3,2,1] => [5,4,3,2,1] => 4
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [6,1,2,3,4,5] => [1,2,3,4,5] => 0
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [6,1,2,3,5,4] => [1,2,3,5,4] => 1
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [6,1,2,4,5,3] => [1,2,4,5,3] => 1
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [6,1,2,5,3,4] => [1,2,5,3,4] => 2
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [6,1,2,5,4,3] => [1,2,5,4,3] => 2
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [6,1,3,4,5,2] => [1,3,4,5,2] => 1
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [6,1,3,5,4,2] => [1,3,5,4,2] => 2
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [6,1,4,5,2,3] => [1,4,5,2,3] => 2
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [6,1,4,5,3,2] => [1,4,5,3,2] => 2
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [6,1,5,2,3,4] => [1,5,2,3,4] => 3
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [6,1,5,2,4,3] => [1,5,2,4,3] => 3
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [6,1,5,3,4,2] => [1,5,3,4,2] => 3
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [6,1,5,4,2,3] => [1,5,4,2,3] => 3
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [6,1,5,4,3,2] => [1,5,4,3,2] => 3
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [6,2,3,4,5,1] => [2,3,4,5,1] => 1
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [6,2,3,5,4,1] => [2,3,5,4,1] => 2
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [6,2,4,5,3,1] => [2,4,5,3,1] => 2
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [6,2,5,3,4,1] => [2,5,3,4,1] => 3
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [6,2,5,4,3,1] => [2,5,4,3,1] => 3
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [6,3,4,5,1,2] => [3,4,5,1,2] => 2
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [6,3,5,4,1,2] => [3,5,4,1,2] => 3
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [6,3,4,5,2,1] => [3,4,5,2,1] => 2
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [6,3,5,4,2,1] => [3,5,4,2,1] => 3
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [6,4,5,1,2,3] => [4,5,1,2,3] => 3
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [6,4,5,1,3,2] => [4,5,1,3,2] => 3
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [6,4,5,2,3,1] => [4,5,2,3,1] => 3
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [6,4,5,3,1,2] => [4,5,3,1,2] => 3
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [6,4,5,3,2,1] => [4,5,3,2,1] => 3
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [6,5,1,2,3,4] => [5,1,2,3,4] => 4
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [6,5,1,2,4,3] => [5,1,2,4,3] => 4
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [6,5,1,3,4,2] => [5,1,3,4,2] => 4
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [6,5,1,4,2,3] => [5,1,4,2,3] => 4
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [6,5,1,4,3,2] => [5,1,4,3,2] => 4
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [6,5,2,3,4,1] => [5,2,3,4,1] => 4
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [6,5,2,4,3,1] => [5,2,4,3,1] => 4
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [6,5,3,4,1,2] => [5,3,4,1,2] => 4
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [6,5,3,4,2,1] => [5,3,4,2,1] => 4
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [6,5,4,1,2,3] => [5,4,1,2,3] => 4
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [6,5,4,1,3,2] => [5,4,1,3,2] => 4
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [6,5,4,2,3,1] => [5,4,2,3,1] => 4
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [6,5,4,3,1,2] => [5,4,3,1,2] => 4
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => [5,4,3,2,1] => 4
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6] => 0
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6] => 0
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [1,2,3,4,6,7,5] => [1,2,3,4,6,5] => 1
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [1,2,3,4,7,5,6] => [1,2,3,4,5,6] => 0
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [1,2,3,4,7,6,5] => [1,2,3,4,6,5] => 1
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [1,2,3,5,6,7,4] => [1,2,3,5,6,4] => 1
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [1,2,3,5,7,6,4] => [1,2,3,5,6,4] => 1
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [1,2,3,6,7,4,5] => [1,2,3,6,4,5] => 2
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [1,2,3,6,7,5,4] => [1,2,3,6,5,4] => 2
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [1,2,3,7,4,5,6] => [1,2,3,4,5,6] => 0
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [1,2,3,7,4,6,5] => [1,2,3,4,6,5] => 1
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [1,2,3,7,5,6,4] => [1,2,3,5,6,4] => 1
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [1,2,3,7,6,4,5] => [1,2,3,6,4,5] => 2
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [1,2,3,7,6,5,4] => [1,2,3,6,5,4] => 2
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [1,2,4,5,6,7,3] => [1,2,4,5,6,3] => 1
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [1,2,4,5,7,6,3] => [1,2,4,5,6,3] => 1
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [1,2,4,6,7,5,3] => [1,2,4,6,5,3] => 2
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [1,2,4,7,5,6,3] => [1,2,4,5,6,3] => 1
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [1,2,4,7,6,5,3] => [1,2,4,6,5,3] => 2
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [1,2,5,6,7,3,4] => [1,2,5,6,3,4] => 2
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [1,2,5,7,6,3,4] => [1,2,5,6,3,4] => 2
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [1,2,5,6,7,4,3] => [1,2,5,6,4,3] => 2
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [1,2,5,7,6,4,3] => [1,2,5,6,4,3] => 2
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [1,2,6,7,3,4,5] => [1,2,6,3,4,5] => 3
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [1,2,6,7,3,5,4] => [1,2,6,3,5,4] => 3
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [1,2,6,7,4,5,3] => [1,2,6,4,5,3] => 3
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [1,2,6,7,5,3,4] => [1,2,6,5,3,4] => 3
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [1,2,6,7,5,4,3] => [1,2,6,5,4,3] => 3
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [1,2,7,3,4,5,6] => [1,2,3,4,5,6] => 0
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [1,2,7,3,4,6,5] => [1,2,3,4,6,5] => 1
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [1,2,7,3,5,6,4] => [1,2,3,5,6,4] => 1
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [1,2,7,3,6,4,5] => [1,2,3,6,4,5] => 2
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [1,2,7,3,6,5,4] => [1,2,3,6,5,4] => 2
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [1,2,7,4,5,6,3] => [1,2,4,5,6,3] => 1
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [1,2,7,4,6,5,3] => [1,2,4,6,5,3] => 2
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [1,2,7,5,6,3,4] => [1,2,5,6,3,4] => 2
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [1,2,7,5,6,4,3] => [1,2,5,6,4,3] => 2
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [1,2,7,6,3,4,5] => [1,2,6,3,4,5] => 3
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [1,2,7,6,3,5,4] => [1,2,6,3,5,4] => 3
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [1,2,7,6,4,5,3] => [1,2,6,4,5,3] => 3
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [1,2,7,6,5,3,4] => [1,2,6,5,3,4] => 3
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [1,2,7,6,5,4,3] => [1,2,6,5,4,3] => 3
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [1,3,4,5,6,7,2] => [1,3,4,5,6,2] => 1
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [1,3,4,5,7,6,2] => [1,3,4,5,6,2] => 1
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [1,3,4,6,7,5,2] => [1,3,4,6,5,2] => 2
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [1,3,4,7,5,6,2] => [1,3,4,5,6,2] => 1
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [1,3,4,7,6,5,2] => [1,3,4,6,5,2] => 2
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [1,3,5,6,7,4,2] => [1,3,5,6,4,2] => 2
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [1,3,5,7,6,4,2] => [1,3,5,6,4,2] => 2
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [1,3,6,7,4,5,2] => [1,3,6,4,5,2] => 3
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [1,3,6,7,5,4,2] => [1,3,6,5,4,2] => 3
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [1,3,7,4,5,6,2] => [1,3,4,5,6,2] => 1
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [1,3,7,4,6,5,2] => [1,3,4,6,5,2] => 2
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [1,3,7,5,6,4,2] => [1,3,5,6,4,2] => 2
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [1,3,7,6,4,5,2] => [1,3,6,4,5,2] => 3
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [1,3,7,6,5,4,2] => [1,3,6,5,4,2] => 3
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [1,4,5,6,7,2,3] => [1,4,5,6,2,3] => 2
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [1,4,5,7,6,2,3] => [1,4,5,6,2,3] => 2
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [1,4,6,7,5,2,3] => [1,4,6,5,2,3] => 3
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [1,4,7,5,6,2,3] => [1,4,5,6,2,3] => 2
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [1,4,7,6,5,2,3] => [1,4,6,5,2,3] => 3
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [1,4,5,6,7,3,2] => [1,4,5,6,3,2] => 2
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [1,4,5,7,6,3,2] => [1,4,5,6,3,2] => 2
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [1,4,6,7,5,3,2] => [1,4,6,5,3,2] => 3
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [1,4,7,5,6,3,2] => [1,4,5,6,3,2] => 2
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [1,4,7,6,5,3,2] => [1,4,6,5,3,2] => 3
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [1,5,6,7,2,3,4] => [1,5,6,2,3,4] => 3
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [1,5,7,6,2,3,4] => [1,5,6,2,3,4] => 3
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [1,5,6,7,2,4,3] => [1,5,6,2,4,3] => 3
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [1,5,7,6,2,4,3] => [1,5,6,2,4,3] => 3
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [1,5,6,7,3,4,2] => [1,5,6,3,4,2] => 3
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [1,5,7,6,3,4,2] => [1,5,6,3,4,2] => 3
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [1,5,6,7,4,2,3] => [1,5,6,4,2,3] => 3
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [1,5,7,6,4,2,3] => [1,5,6,4,2,3] => 3
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [1,5,6,7,4,3,2] => [1,5,6,4,3,2] => 3
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [1,5,7,6,4,3,2] => [1,5,6,4,3,2] => 3
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [1,6,7,2,3,4,5] => [1,6,2,3,4,5] => 4
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [1,6,7,2,3,5,4] => [1,6,2,3,5,4] => 4
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [1,6,7,2,4,5,3] => [1,6,2,4,5,3] => 4
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [1,6,7,2,5,3,4] => [1,6,2,5,3,4] => 4
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [1,6,7,2,5,4,3] => [1,6,2,5,4,3] => 4
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [1,6,7,3,4,5,2] => [1,6,3,4,5,2] => 4
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [1,6,7,3,5,4,2] => [1,6,3,5,4,2] => 4
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [1,6,7,4,5,2,3] => [1,6,4,5,2,3] => 4
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [1,6,7,4,5,3,2] => [1,6,4,5,3,2] => 4
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [1,6,7,5,2,3,4] => [1,6,5,2,3,4] => 4
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [1,6,7,5,2,4,3] => [1,6,5,2,4,3] => 4
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [1,6,7,5,3,4,2] => [1,6,5,3,4,2] => 4
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [1,6,7,5,4,2,3] => [1,6,5,4,2,3] => 4
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [1,6,7,5,4,3,2] => [1,6,5,4,3,2] => 4
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [1,7,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [1,7,2,3,4,6,5] => [1,2,3,4,6,5] => 1
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [1,7,2,3,5,6,4] => [1,2,3,5,6,4] => 1
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [1,7,2,3,6,4,5] => [1,2,3,6,4,5] => 2
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [1,7,2,3,6,5,4] => [1,2,3,6,5,4] => 2
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [1,7,2,4,5,6,3] => [1,2,4,5,6,3] => 1
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [1,7,2,4,6,5,3] => [1,2,4,6,5,3] => 2
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [1,7,2,5,6,3,4] => [1,2,5,6,3,4] => 2
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [1,7,2,5,6,4,3] => [1,2,5,6,4,3] => 2
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [1,7,2,6,3,4,5] => [1,2,6,3,4,5] => 3
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [1,7,2,6,3,5,4] => [1,2,6,3,5,4] => 3
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [1,7,2,6,4,5,3] => [1,2,6,4,5,3] => 3
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [1,7,2,6,5,3,4] => [1,2,6,5,3,4] => 3
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [1,7,2,6,5,4,3] => [1,2,6,5,4,3] => 3
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [1,7,3,4,5,6,2] => [1,3,4,5,6,2] => 1
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [1,7,3,4,6,5,2] => [1,3,4,6,5,2] => 2
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [1,7,3,5,6,4,2] => [1,3,5,6,4,2] => 2
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [1,7,3,6,4,5,2] => [1,3,6,4,5,2] => 3
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [1,7,3,6,5,4,2] => [1,3,6,5,4,2] => 3
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [1,7,4,5,6,2,3] => [1,4,5,6,2,3] => 2
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [1,7,4,6,5,2,3] => [1,4,6,5,2,3] => 3
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [1,7,4,5,6,3,2] => [1,4,5,6,3,2] => 2
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [1,7,4,6,5,3,2] => [1,4,6,5,3,2] => 3
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [1,7,5,6,2,3,4] => [1,5,6,2,3,4] => 3
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [1,7,5,6,2,4,3] => [1,5,6,2,4,3] => 3
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [1,7,5,6,3,4,2] => [1,5,6,3,4,2] => 3
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [1,7,5,6,4,2,3] => [1,5,6,4,2,3] => 3
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [1,7,5,6,4,3,2] => [1,5,6,4,3,2] => 3
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [1,7,6,2,3,4,5] => [1,6,2,3,4,5] => 4
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [1,7,6,2,3,5,4] => [1,6,2,3,5,4] => 4
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [1,7,6,2,4,5,3] => [1,6,2,4,5,3] => 4
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [1,7,6,2,5,3,4] => [1,6,2,5,3,4] => 4
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [1,7,6,2,5,4,3] => [1,6,2,5,4,3] => 4
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [1,7,6,3,4,5,2] => [1,6,3,4,5,2] => 4
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [1,7,6,3,5,4,2] => [1,6,3,5,4,2] => 4
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [1,7,6,4,5,2,3] => [1,6,4,5,2,3] => 4
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [1,7,6,4,5,3,2] => [1,6,4,5,3,2] => 4
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [1,7,6,5,2,3,4] => [1,6,5,2,3,4] => 4
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [1,7,6,5,2,4,3] => [1,6,5,2,4,3] => 4
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [1,7,6,5,3,4,2] => [1,6,5,3,4,2] => 4
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [1,7,6,5,4,2,3] => [1,6,5,4,2,3] => 4
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,7,6,5,4,3,2] => [1,6,5,4,3,2] => 4
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [2,3,4,5,6,7,1] => [2,3,4,5,6,1] => 1
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [2,3,4,5,7,6,1] => [2,3,4,5,6,1] => 1
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [2,3,4,6,7,5,1] => [2,3,4,6,5,1] => 2
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [2,3,4,7,5,6,1] => [2,3,4,5,6,1] => 1
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [2,3,4,7,6,5,1] => [2,3,4,6,5,1] => 2
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [2,3,5,6,7,4,1] => [2,3,5,6,4,1] => 2
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [2,3,5,7,6,4,1] => [2,3,5,6,4,1] => 2
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [2,3,6,7,4,5,1] => [2,3,6,4,5,1] => 3
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [2,3,6,7,5,4,1] => [2,3,6,5,4,1] => 3
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [2,3,7,4,5,6,1] => [2,3,4,5,6,1] => 1
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [2,3,7,4,6,5,1] => [2,3,4,6,5,1] => 2
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [2,3,7,5,6,4,1] => [2,3,5,6,4,1] => 2
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [2,3,7,6,4,5,1] => [2,3,6,4,5,1] => 3
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [2,3,7,6,5,4,1] => [2,3,6,5,4,1] => 3
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [2,4,5,6,7,3,1] => [2,4,5,6,3,1] => 2
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [2,4,5,7,6,3,1] => [2,4,5,6,3,1] => 2
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [2,4,6,7,5,3,1] => [2,4,6,5,3,1] => 3
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [2,4,7,5,6,3,1] => [2,4,5,6,3,1] => 2
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [2,4,7,6,5,3,1] => [2,4,6,5,3,1] => 3
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [2,5,6,7,3,4,1] => [2,5,6,3,4,1] => 3
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [2,5,7,6,3,4,1] => [2,5,6,3,4,1] => 3
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [2,5,6,7,4,3,1] => [2,5,6,4,3,1] => 3
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [2,5,7,6,4,3,1] => [2,5,6,4,3,1] => 3
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [2,6,7,3,4,5,1] => [2,6,3,4,5,1] => 4
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [2,6,7,3,5,4,1] => [2,6,3,5,4,1] => 4
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [2,6,7,4,5,3,1] => [2,6,4,5,3,1] => 4
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [2,6,7,5,3,4,1] => [2,6,5,3,4,1] => 4
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [2,6,7,5,4,3,1] => [2,6,5,4,3,1] => 4
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [2,7,3,4,5,6,1] => [2,3,4,5,6,1] => 1
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [2,7,3,4,6,5,1] => [2,3,4,6,5,1] => 2
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [2,7,3,5,6,4,1] => [2,3,5,6,4,1] => 2
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [2,7,3,6,4,5,1] => [2,3,6,4,5,1] => 3
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [2,7,3,6,5,4,1] => [2,3,6,5,4,1] => 3
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [2,7,4,5,6,3,1] => [2,4,5,6,3,1] => 2
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [2,7,4,6,5,3,1] => [2,4,6,5,3,1] => 3
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [2,7,5,6,3,4,1] => [2,5,6,3,4,1] => 3
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [2,7,5,6,4,3,1] => [2,5,6,4,3,1] => 3
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [2,7,6,3,4,5,1] => [2,6,3,4,5,1] => 4
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [2,7,6,3,5,4,1] => [2,6,3,5,4,1] => 4
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [2,7,6,4,5,3,1] => [2,6,4,5,3,1] => 4
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [2,7,6,5,3,4,1] => [2,6,5,3,4,1] => 4
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,7,6,5,4,3,1] => [2,6,5,4,3,1] => 4
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [3,4,5,6,7,1,2] => [3,4,5,6,1,2] => 2
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [3,4,5,7,6,1,2] => [3,4,5,6,1,2] => 2
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [3,4,6,7,5,1,2] => [3,4,6,5,1,2] => 3
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [3,4,7,5,6,1,2] => [3,4,5,6,1,2] => 2
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [3,4,7,6,5,1,2] => [3,4,6,5,1,2] => 3
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [3,5,6,7,4,1,2] => [3,5,6,4,1,2] => 3
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [3,5,7,6,4,1,2] => [3,5,6,4,1,2] => 3
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [3,6,7,4,5,1,2] => [3,6,4,5,1,2] => 4
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [3,6,7,5,4,1,2] => [3,6,5,4,1,2] => 4
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [3,7,4,5,6,1,2] => [3,4,5,6,1,2] => 2
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [3,7,4,6,5,1,2] => [3,4,6,5,1,2] => 3
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [3,7,5,6,4,1,2] => [3,5,6,4,1,2] => 3
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [3,7,6,4,5,1,2] => [3,6,4,5,1,2] => 4
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [3,7,6,5,4,1,2] => [3,6,5,4,1,2] => 4
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [3,4,5,6,7,2,1] => [3,4,5,6,2,1] => 2
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [3,4,5,7,6,2,1] => [3,4,5,6,2,1] => 2
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [3,4,6,7,5,2,1] => [3,4,6,5,2,1] => 3
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [3,4,7,5,6,2,1] => [3,4,5,6,2,1] => 2
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,4,7,6,5,2,1] => [3,4,6,5,2,1] => 3
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [3,5,6,7,4,2,1] => [3,5,6,4,2,1] => 3
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,5,7,6,4,2,1] => [3,5,6,4,2,1] => 3
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [3,6,7,4,5,2,1] => [3,6,4,5,2,1] => 4
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,6,7,5,4,2,1] => [3,6,5,4,2,1] => 4
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [3,7,4,5,6,2,1] => [3,4,5,6,2,1] => 2
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,7,4,6,5,2,1] => [3,4,6,5,2,1] => 3
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,7,5,6,4,2,1] => [3,5,6,4,2,1] => 3
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,7,6,4,5,2,1] => [3,6,4,5,2,1] => 4
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [3,7,6,5,4,2,1] => [3,6,5,4,2,1] => 4
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,5,6,7,1,2,3] => [4,5,6,1,2,3] => 3
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [4,5,7,6,1,2,3] => [4,5,6,1,2,3] => 3
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [4,6,7,5,1,2,3] => [4,6,5,1,2,3] => 4
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [4,7,5,6,1,2,3] => [4,5,6,1,2,3] => 3
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [4,7,6,5,1,2,3] => [4,6,5,1,2,3] => 4
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [4,5,6,7,1,3,2] => [4,5,6,1,3,2] => 3
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [4,5,7,6,1,3,2] => [4,5,6,1,3,2] => 3
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [4,6,7,5,1,3,2] => [4,6,5,1,3,2] => 4
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [4,7,5,6,1,3,2] => [4,5,6,1,3,2] => 3
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [4,7,6,5,1,3,2] => [4,6,5,1,3,2] => 4
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [4,5,6,7,2,3,1] => [4,5,6,2,3,1] => 3
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [4,5,7,6,2,3,1] => [4,5,6,2,3,1] => 3
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [4,6,7,5,2,3,1] => [4,6,5,2,3,1] => 4
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [4,7,5,6,2,3,1] => [4,5,6,2,3,1] => 3
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [4,7,6,5,2,3,1] => [4,6,5,2,3,1] => 4
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [4,5,6,7,3,1,2] => [4,5,6,3,1,2] => 3
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [4,5,7,6,3,1,2] => [4,5,6,3,1,2] => 3
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [4,6,7,5,3,1,2] => [4,6,5,3,1,2] => 4
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [4,7,5,6,3,1,2] => [4,5,6,3,1,2] => 3
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [4,7,6,5,3,1,2] => [4,6,5,3,1,2] => 4
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,5,6,7,3,2,1] => [4,5,6,3,2,1] => 3
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [4,5,7,6,3,2,1] => [4,5,6,3,2,1] => 3
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [4,6,7,5,3,2,1] => [4,6,5,3,2,1] => 4
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [4,7,5,6,3,2,1] => [4,5,6,3,2,1] => 3
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [4,7,6,5,3,2,1] => [4,6,5,3,2,1] => 4
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [5,6,7,1,2,3,4] => [5,6,1,2,3,4] => 4
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [5,7,6,1,2,3,4] => [5,6,1,2,3,4] => 4
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [5,6,7,1,2,4,3] => [5,6,1,2,4,3] => 4
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [5,7,6,1,2,4,3] => [5,6,1,2,4,3] => 4
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [5,6,7,1,3,4,2] => [5,6,1,3,4,2] => 4
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [5,7,6,1,3,4,2] => [5,6,1,3,4,2] => 4
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [5,6,7,1,4,2,3] => [5,6,1,4,2,3] => 4
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [5,7,6,1,4,2,3] => [5,6,1,4,2,3] => 4
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [5,6,7,1,4,3,2] => [5,6,1,4,3,2] => 4
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [5,7,6,1,4,3,2] => [5,6,1,4,3,2] => 4
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [5,6,7,2,3,4,1] => [5,6,2,3,4,1] => 4
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [5,7,6,2,3,4,1] => [5,6,2,3,4,1] => 4
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [5,6,7,2,4,3,1] => [5,6,2,4,3,1] => 4
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [5,7,6,2,4,3,1] => [5,6,2,4,3,1] => 4
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [5,6,7,3,4,1,2] => [5,6,3,4,1,2] => 4
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [5,7,6,3,4,1,2] => [5,6,3,4,1,2] => 4
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [5,6,7,3,4,2,1] => [5,6,3,4,2,1] => 4
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [5,7,6,3,4,2,1] => [5,6,3,4,2,1] => 4
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [5,6,7,4,1,2,3] => [5,6,4,1,2,3] => 4
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [5,7,6,4,1,2,3] => [5,6,4,1,2,3] => 4
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [5,6,7,4,1,3,2] => [5,6,4,1,3,2] => 4
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [5,7,6,4,1,3,2] => [5,6,4,1,3,2] => 4
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [5,6,7,4,2,3,1] => [5,6,4,2,3,1] => 4
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [5,7,6,4,2,3,1] => [5,6,4,2,3,1] => 4
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [5,6,7,4,3,1,2] => [5,6,4,3,1,2] => 4
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [5,7,6,4,3,1,2] => [5,6,4,3,1,2] => 4
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [5,6,7,4,3,2,1] => [5,6,4,3,2,1] => 4
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [5,7,6,4,3,2,1] => [5,6,4,3,2,1] => 4
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [6,7,1,2,3,4,5] => [6,1,2,3,4,5] => 5
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [6,7,1,2,3,5,4] => [6,1,2,3,5,4] => 5
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [6,7,1,2,4,5,3] => [6,1,2,4,5,3] => 5
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [6,7,1,2,5,3,4] => [6,1,2,5,3,4] => 5
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [6,7,1,2,5,4,3] => [6,1,2,5,4,3] => 5
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [6,7,1,3,4,5,2] => [6,1,3,4,5,2] => 5
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [6,7,1,3,5,4,2] => [6,1,3,5,4,2] => 5
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [6,7,1,4,5,2,3] => [6,1,4,5,2,3] => 5
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [6,7,1,4,5,3,2] => [6,1,4,5,3,2] => 5
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [6,7,1,5,2,3,4] => [6,1,5,2,3,4] => 5
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [6,7,1,5,2,4,3] => [6,1,5,2,4,3] => 5
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [6,7,1,5,3,4,2] => [6,1,5,3,4,2] => 5
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [6,7,1,5,4,2,3] => [6,1,5,4,2,3] => 5
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [6,7,1,5,4,3,2] => [6,1,5,4,3,2] => 5
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [6,7,2,3,4,5,1] => [6,2,3,4,5,1] => 5
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [6,7,2,3,5,4,1] => [6,2,3,5,4,1] => 5
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [6,7,2,4,5,3,1] => [6,2,4,5,3,1] => 5
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [6,7,2,5,3,4,1] => [6,2,5,3,4,1] => 5
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [6,7,2,5,4,3,1] => [6,2,5,4,3,1] => 5
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [6,7,3,4,5,1,2] => [6,3,4,5,1,2] => 5
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [6,7,3,5,4,1,2] => [6,3,5,4,1,2] => 5
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [6,7,3,4,5,2,1] => [6,3,4,5,2,1] => 5
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [6,7,3,5,4,2,1] => [6,3,5,4,2,1] => 5
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [6,7,4,5,1,2,3] => [6,4,5,1,2,3] => 5
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [6,7,4,5,1,3,2] => [6,4,5,1,3,2] => 5
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [6,7,4,5,2,3,1] => [6,4,5,2,3,1] => 5
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [6,7,4,5,3,1,2] => [6,4,5,3,1,2] => 5
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [6,7,4,5,3,2,1] => [6,4,5,3,2,1] => 5
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [6,7,5,1,2,3,4] => [6,5,1,2,3,4] => 5
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [6,7,5,1,2,4,3] => [6,5,1,2,4,3] => 5
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [6,7,5,1,3,4,2] => [6,5,1,3,4,2] => 5
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [6,7,5,1,4,2,3] => [6,5,1,4,2,3] => 5
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [6,7,5,1,4,3,2] => [6,5,1,4,3,2] => 5
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [6,7,5,2,3,4,1] => [6,5,2,3,4,1] => 5
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [6,7,5,2,4,3,1] => [6,5,2,4,3,1] => 5
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [6,7,5,3,4,1,2] => [6,5,3,4,1,2] => 5
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [6,7,5,3,4,2,1] => [6,5,3,4,2,1] => 5
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [6,7,5,4,1,2,3] => [6,5,4,1,2,3] => 5
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [6,7,5,4,1,3,2] => [6,5,4,1,3,2] => 5
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [6,7,5,4,2,3,1] => [6,5,4,2,3,1] => 5
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [6,7,5,4,3,1,2] => [6,5,4,3,1,2] => 5
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [6,7,5,4,3,2,1] => [6,5,4,3,2,1] => 5
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [7,1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [7,1,2,3,4,6,5] => [1,2,3,4,6,5] => 1
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [7,1,2,3,5,6,4] => [1,2,3,5,6,4] => 1
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [7,1,2,3,6,4,5] => [1,2,3,6,4,5] => 2
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [7,1,2,3,6,5,4] => [1,2,3,6,5,4] => 2
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [7,1,2,4,5,6,3] => [1,2,4,5,6,3] => 1
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [7,1,2,4,6,5,3] => [1,2,4,6,5,3] => 2
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [7,1,2,5,6,3,4] => [1,2,5,6,3,4] => 2
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [7,1,2,5,6,4,3] => [1,2,5,6,4,3] => 2
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [7,1,2,6,3,4,5] => [1,2,6,3,4,5] => 3
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [7,1,2,6,3,5,4] => [1,2,6,3,5,4] => 3
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [7,1,2,6,4,5,3] => [1,2,6,4,5,3] => 3
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [7,1,2,6,5,3,4] => [1,2,6,5,3,4] => 3
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [7,1,2,6,5,4,3] => [1,2,6,5,4,3] => 3
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [7,1,3,4,5,6,2] => [1,3,4,5,6,2] => 1
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [7,1,3,4,6,5,2] => [1,3,4,6,5,2] => 2
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [7,1,3,5,6,4,2] => [1,3,5,6,4,2] => 2
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [7,1,3,6,4,5,2] => [1,3,6,4,5,2] => 3
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [7,1,3,6,5,4,2] => [1,3,6,5,4,2] => 3
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [7,1,4,5,6,2,3] => [1,4,5,6,2,3] => 2
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [7,1,4,6,5,2,3] => [1,4,6,5,2,3] => 3
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [7,1,4,5,6,3,2] => [1,4,5,6,3,2] => 2
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [7,1,4,6,5,3,2] => [1,4,6,5,3,2] => 3
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [7,1,5,6,2,3,4] => [1,5,6,2,3,4] => 3
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [7,1,5,6,2,4,3] => [1,5,6,2,4,3] => 3
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [7,1,5,6,3,4,2] => [1,5,6,3,4,2] => 3
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [7,1,5,6,4,2,3] => [1,5,6,4,2,3] => 3
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [7,1,5,6,4,3,2] => [1,5,6,4,3,2] => 3
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [7,1,6,2,3,4,5] => [1,6,2,3,4,5] => 4
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [7,1,6,2,3,5,4] => [1,6,2,3,5,4] => 4
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [7,1,6,2,4,5,3] => [1,6,2,4,5,3] => 4
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [7,1,6,2,5,3,4] => [1,6,2,5,3,4] => 4
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [7,1,6,2,5,4,3] => [1,6,2,5,4,3] => 4
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [7,1,6,3,4,5,2] => [1,6,3,4,5,2] => 4
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [7,1,6,3,5,4,2] => [1,6,3,5,4,2] => 4
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [7,1,6,4,5,2,3] => [1,6,4,5,2,3] => 4
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [7,1,6,4,5,3,2] => [1,6,4,5,3,2] => 4
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [7,1,6,5,2,3,4] => [1,6,5,2,3,4] => 4
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [7,1,6,5,2,4,3] => [1,6,5,2,4,3] => 4
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [7,1,6,5,3,4,2] => [1,6,5,3,4,2] => 4
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [7,1,6,5,4,2,3] => [1,6,5,4,2,3] => 4
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [7,1,6,5,4,3,2] => [1,6,5,4,3,2] => 4
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [7,2,3,4,5,6,1] => [2,3,4,5,6,1] => 1
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [7,2,3,4,6,5,1] => [2,3,4,6,5,1] => 2
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [7,2,3,5,6,4,1] => [2,3,5,6,4,1] => 2
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [7,2,3,6,4,5,1] => [2,3,6,4,5,1] => 3
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [7,2,3,6,5,4,1] => [2,3,6,5,4,1] => 3
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [7,2,4,5,6,3,1] => [2,4,5,6,3,1] => 2
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [7,2,4,6,5,3,1] => [2,4,6,5,3,1] => 3
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [7,2,5,6,3,4,1] => [2,5,6,3,4,1] => 3
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [7,2,5,6,4,3,1] => [2,5,6,4,3,1] => 3
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [7,2,6,3,4,5,1] => [2,6,3,4,5,1] => 4
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [7,2,6,3,5,4,1] => [2,6,3,5,4,1] => 4
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [7,2,6,4,5,3,1] => [2,6,4,5,3,1] => 4
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [7,2,6,5,3,4,1] => [2,6,5,3,4,1] => 4
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [7,2,6,5,4,3,1] => [2,6,5,4,3,1] => 4
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [7,3,4,5,6,1,2] => [3,4,5,6,1,2] => 2
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [7,3,4,6,5,1,2] => [3,4,6,5,1,2] => 3
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [7,3,5,6,4,1,2] => [3,5,6,4,1,2] => 3
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [7,3,6,4,5,1,2] => [3,6,4,5,1,2] => 4
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [7,3,6,5,4,1,2] => [3,6,5,4,1,2] => 4
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [7,3,4,5,6,2,1] => [3,4,5,6,2,1] => 2
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [7,3,4,6,5,2,1] => [3,4,6,5,2,1] => 3
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [7,3,5,6,4,2,1] => [3,5,6,4,2,1] => 3
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [7,3,6,4,5,2,1] => [3,6,4,5,2,1] => 4
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [7,3,6,5,4,2,1] => [3,6,5,4,2,1] => 4
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [7,4,5,6,1,2,3] => [4,5,6,1,2,3] => 3
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [7,4,6,5,1,2,3] => [4,6,5,1,2,3] => 4
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [7,4,5,6,1,3,2] => [4,5,6,1,3,2] => 3
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [7,4,6,5,1,3,2] => [4,6,5,1,3,2] => 4
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [7,4,5,6,2,3,1] => [4,5,6,2,3,1] => 3
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [7,4,6,5,2,3,1] => [4,6,5,2,3,1] => 4
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [7,4,5,6,3,1,2] => [4,5,6,3,1,2] => 3
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [7,4,6,5,3,1,2] => [4,6,5,3,1,2] => 4
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [7,4,5,6,3,2,1] => [4,5,6,3,2,1] => 3
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [7,4,6,5,3,2,1] => [4,6,5,3,2,1] => 4
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [7,5,6,1,2,3,4] => [5,6,1,2,3,4] => 4
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [7,5,6,1,2,4,3] => [5,6,1,2,4,3] => 4
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [7,5,6,1,3,4,2] => [5,6,1,3,4,2] => 4
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [7,5,6,1,4,2,3] => [5,6,1,4,2,3] => 4
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [7,5,6,1,4,3,2] => [5,6,1,4,3,2] => 4
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [7,5,6,2,3,4,1] => [5,6,2,3,4,1] => 4
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [7,5,6,2,4,3,1] => [5,6,2,4,3,1] => 4
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [7,5,6,3,4,1,2] => [5,6,3,4,1,2] => 4
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [7,5,6,3,4,2,1] => [5,6,3,4,2,1] => 4
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [7,5,6,4,1,2,3] => [5,6,4,1,2,3] => 4
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [7,5,6,4,1,3,2] => [5,6,4,1,3,2] => 4
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [5,6,4,2,3,1] => 4
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [7,5,6,4,3,1,2] => [5,6,4,3,1,2] => 4
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [7,5,6,4,3,2,1] => [5,6,4,3,2,1] => 4
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [7,6,1,2,3,4,5] => [6,1,2,3,4,5] => 5
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [7,6,1,2,3,5,4] => [6,1,2,3,5,4] => 5
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [7,6,1,2,4,5,3] => [6,1,2,4,5,3] => 5
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [7,6,1,2,5,3,4] => [6,1,2,5,3,4] => 5
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [7,6,1,2,5,4,3] => [6,1,2,5,4,3] => 5
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [7,6,1,3,4,5,2] => [6,1,3,4,5,2] => 5
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [7,6,1,3,5,4,2] => [6,1,3,5,4,2] => 5
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [7,6,1,4,5,2,3] => [6,1,4,5,2,3] => 5
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [7,6,1,4,5,3,2] => [6,1,4,5,3,2] => 5
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [7,6,1,5,2,3,4] => [6,1,5,2,3,4] => 5
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [7,6,1,5,2,4,3] => [6,1,5,2,4,3] => 5
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [7,6,1,5,3,4,2] => [6,1,5,3,4,2] => 5
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [7,6,1,5,4,2,3] => [6,1,5,4,2,3] => 5
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [7,6,1,5,4,3,2] => [6,1,5,4,3,2] => 5
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [7,6,2,3,4,5,1] => [6,2,3,4,5,1] => 5
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [7,6,2,3,5,4,1] => [6,2,3,5,4,1] => 5
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [7,6,2,4,5,3,1] => [6,2,4,5,3,1] => 5
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [7,6,2,5,3,4,1] => [6,2,5,3,4,1] => 5
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [7,6,2,5,4,3,1] => [6,2,5,4,3,1] => 5
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [7,6,3,4,5,1,2] => [6,3,4,5,1,2] => 5
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [7,6,3,5,4,1,2] => [6,3,5,4,1,2] => 5
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [6,3,4,5,2,1] => 5
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [7,6,3,5,4,2,1] => [6,3,5,4,2,1] => 5
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [7,6,4,5,1,2,3] => [6,4,5,1,2,3] => 5
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [7,6,4,5,1,3,2] => [6,4,5,1,3,2] => 5
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [7,6,4,5,2,3,1] => [6,4,5,2,3,1] => 5
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [7,6,4,5,3,1,2] => [6,4,5,3,1,2] => 5
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [7,6,4,5,3,2,1] => [6,4,5,3,2,1] => 5
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [7,6,5,1,2,3,4] => [6,5,1,2,3,4] => 5
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [7,6,5,1,2,4,3] => [6,5,1,2,4,3] => 5
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [7,6,5,1,3,4,2] => [6,5,1,3,4,2] => 5
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [7,6,5,1,4,2,3] => [6,5,1,4,2,3] => 5
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [7,6,5,1,4,3,2] => [6,5,1,4,3,2] => 5
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [7,6,5,2,3,4,1] => [6,5,2,3,4,1] => 5
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [7,6,5,2,4,3,1] => [6,5,2,4,3,1] => 5
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [7,6,5,3,4,1,2] => [6,5,3,4,1,2] => 5
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [7,6,5,3,4,2,1] => [6,5,3,4,2,1] => 5
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [7,6,5,4,1,2,3] => [6,5,4,1,2,3] => 5
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [7,6,5,4,1,3,2] => [6,5,4,1,3,2] => 5
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [7,6,5,4,2,3,1] => [6,5,4,2,3,1] => 5
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [7,6,5,4,3,1,2] => [6,5,4,3,1,2] => 5
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [6,5,4,3,2,1] => 5
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7] => 0
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7] => 0
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,7,6] => 1
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,7] => 0
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,6] => 1
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [1,2,3,4,8,5,6,7] => [1,2,3,4,5,6,7] => 0
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [1,2,3,8,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [1,4,7,8,6,5,3,2] => [1,4,7,6,5,3,2] => 4
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [1,4,8,7,6,5,3,2] => [1,4,7,6,5,3,2] => 4
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [1,5,6,7,8,2,3,4] => [1,5,6,7,2,3,4] => 3
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [1,5,6,7,8,4,3,2] => [1,5,6,7,4,3,2] => 3
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [1,5,8,7,6,4,3,2] => [1,5,7,6,4,3,2] => 4
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [1,6,7,8,2,3,4,5] => [1,6,7,2,3,4,5] => 4
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [1,6,8,7,2,3,4,5] => [1,6,7,2,3,4,5] => 4
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [1,6,7,8,5,4,3,2] => [1,6,7,5,4,3,2] => 4
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [1,6,8,7,5,4,3,2] => [1,6,7,5,4,3,2] => 4
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [1,7,8,2,3,4,5,6] => [1,7,2,3,4,5,6] => 5
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [1,7,8,6,5,4,3,2] => [1,7,6,5,4,3,2] => 5
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [1,8,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [1,8,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 1
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [1,8,4,7,6,5,3,2] => [1,4,7,6,5,3,2] => 4
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [1,8,5,6,7,2,3,4] => [1,5,6,7,2,3,4] => 3
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [1,8,6,7,2,3,4,5] => [1,6,7,2,3,4,5] => 4
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [1,8,6,7,5,4,3,2] => [1,6,7,5,4,3,2] => 4
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [1,8,7,4,5,6,3,2] => [1,7,4,5,6,3,2] => 5
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [1,8,7,4,6,5,3,2] => [1,7,4,6,5,3,2] => 5
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [1,8,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => 5
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,1] => 1
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [2,3,4,5,6,8,7,1] => [2,3,4,5,6,7,1] => 1
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [2,3,4,8,5,6,7,1] => [2,3,4,5,6,7,1] => 1
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [2,8,3,4,5,6,7,1] => [2,3,4,5,6,7,1] => 1
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [3,4,5,6,7,8,1,2] => [3,4,5,6,7,1,2] => 2
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [5,6,7,8,1,2,3,4] => [5,6,7,1,2,3,4] => 4
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [5,6,8,7,1,2,3,4] => [5,6,7,1,2,3,4] => 4
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [5,8,6,7,1,2,3,4] => [5,6,7,1,2,3,4] => 4
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [6,7,8,1,2,3,4,5] => [6,7,1,2,3,4,5] => 5
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [6,8,7,1,2,3,4,5] => [6,7,1,2,3,4,5] => 5
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [7,8,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => 6
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [7,8,4,5,6,1,2,3] => [7,4,5,6,1,2,3] => 6
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [7,8,5,6,1,2,3,4] => [7,5,6,1,2,3,4] => 6
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [7,8,5,6,3,4,1,2] => [7,5,6,3,4,1,2] => 6
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [7,8,6,1,2,3,4,5] => [7,6,1,2,3,4,5] => 6
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [7,8,6,5,1,2,3,4] => [7,6,5,1,2,3,4] => 6
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [7,8,6,5,4,3,1,2] => [7,6,5,4,3,1,2] => 6
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [7,8,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 6
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [8,1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 1
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [8,1,6,7,2,3,4,5] => [1,6,7,2,3,4,5] => 4
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [8,1,6,7,5,4,3,2] => [1,6,7,5,4,3,2] => 4
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [8,1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => 5
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [8,3,4,5,6,7,1,2] => [3,4,5,6,7,1,2] => 2
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [8,5,6,7,1,2,3,4] => [5,6,7,1,2,3,4] => 4
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [8,6,7,1,2,3,4,5] => [6,7,1,2,3,4,5] => 5
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [8,6,7,4,5,1,2,3] => [6,7,4,5,1,2,3] => 5
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [8,7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => 6
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [8,7,4,5,6,1,2,3] => [7,4,5,6,1,2,3] => 6
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [8,7,5,6,1,2,3,4] => [7,5,6,1,2,3,4] => 6
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [8,7,5,6,3,4,1,2] => [7,5,6,3,4,1,2] => 6
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [8,7,6,1,2,3,4,5] => [7,6,1,2,3,4,5] => 6
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [8,7,6,4,5,1,2,3] => [7,6,4,5,1,2,3] => 6
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [8,7,6,5,1,2,3,4] => [7,6,5,1,2,3,4] => 6
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [8,7,6,5,3,4,1,2] => [7,6,5,3,4,1,2] => 6
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [8,7,6,5,4,1,2,3] => [7,6,5,4,1,2,3] => 6
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [8,7,6,5,4,3,1,2] => [7,6,5,4,3,1,2] => 6
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [8,7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 6
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8] => 0
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8] => 0
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,7] => 1
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [1,9,8,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => 6
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 7
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9] => 0
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,8,7] => 1
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [1,10,9,8,7,6,5,4,3,2] => [1,9,8,7,6,5,4,3,2] => 7
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => 8
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [1,9,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [1,10,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [10,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [9,10,7,8,5,6,3,4,1,2] => [9,7,8,5,6,3,4,1,2] => 8
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [8,9,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 7
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [9,10,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => 8
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [1,11,10,9,8,7,6,5,4,3,2] => [1,10,9,8,7,6,5,4,3,2] => 8
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,1] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [2,3,4,5,6,7,8,9,10,1] => [2,3,4,5,6,7,8,9,1] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [11,1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [9,1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => 2
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [2,3,4,5,6,7,8,9,10,11,1] => [2,3,4,5,6,7,8,9,10,1] => 1
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [3,4,5,6,7,8,9,1,2] => [3,4,5,6,7,8,1,2] => 2
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [6,7,8,9,1,2,3,4,5] => [6,7,8,1,2,3,4,5] => 5
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [7,8,9,1,2,3,4,5,6] => [7,8,1,2,3,4,5,6] => 6
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [8,9,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => 7
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [6,7,8,9,10,1,2,3,4,5] => [6,7,8,9,1,2,3,4,5] => 5
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [7,8,9,10,1,2,3,4,5,6] => [7,8,9,1,2,3,4,5,6] => 6
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [8,9,10,1,2,3,4,5,6,7] => [8,9,1,2,3,4,5,6,7] => 7
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [9,10,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => 8
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [9,8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => 7
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [9,8,7,1,2,3,4,5,6] => [8,7,1,2,3,4,5,6] => 7
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [9,8,7,6,1,2,3,4,5] => [8,7,6,1,2,3,4,5] => 7
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [9,8,7,6,5,1,2,3,4] => [8,7,6,5,1,2,3,4] => 7
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [9,8,7,6,5,4,1,2,3] => [8,7,6,5,4,1,2,3] => 7
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [9,8,7,6,5,4,3,1,2] => [8,7,6,5,4,3,1,2] => 7
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [10,9,1,2,3,4,5,6,7,8] => [9,1,2,3,4,5,6,7,8] => 8
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [10,9,8,1,2,3,4,5,6,7] => [9,8,1,2,3,4,5,6,7] => 8
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [10,9,8,7,1,2,3,4,5,6] => [9,8,7,1,2,3,4,5,6] => 8
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [10,9,8,7,6,1,2,3,4,5] => [9,8,7,6,1,2,3,4,5] => 8
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [10,9,8,7,6,5,1,2,3,4] => [9,8,7,6,5,1,2,3,4] => 8
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,1,2,3] => [9,8,7,6,5,4,1,2,3] => 8
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [10,9,8,7,6,5,4,3,1,2] => [9,8,7,6,5,4,3,1,2] => 8
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [4,9,8,7,6,5,3,2,1] => [1,2,3,5,6,7,8,9,4] => [1,2,3,5,6,7,8,4] => 1
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [1,8,9,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => 6
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => [1,7,9,8,6,5,4,3,2] => [1,7,8,6,5,4,3,2] => 5
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [1,9,10,8,7,6,5,4,3,2] => [1,9,8,7,6,5,4,3,2] => 7
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [9,8,7,6,5,3,4,1,2] => [8,7,6,5,3,4,1,2] => 7
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [6,5,4,3,2,1,8,7,9] => [9,7,8,1,2,3,4,5,6] => [7,8,1,2,3,4,5,6] => 6
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1] => [1,8,9,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => 6
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [8,7,6,5,4,3,2,10,9,1] => [1,9,10,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => 7
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [9,1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => 6
[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [5,4,3,2,1,8,7,6,9] => [9,6,7,8,1,2,3,4,5] => [6,7,8,1,2,3,4,5] => 5
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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:
3,2 4,6,4 5,12,15,10 6,20,36,42,28 7,30,70,112,126,84
F2=2
F3=3+2 q
F4=4+6 q+4 q2
F5=5+12 q+15 q2+10 q3
F6=6+20 q+36 q2+42 q3+28 q4
F7=7+30 q+70 q2+112 q3+126 q4+84 q5
Description
The maximum drop size of a permutation.
The maximum drop size of a permutation π of [n]={1,2,…,n} is defined to be the maximum value of i−π(i).
The maximum drop size of a permutation π of [n]={1,2,…,n} is defined to be the maximum value of i−π(i).
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation σ of length n is given by τ with τ(i)=σ(n+1−i).
The reverse of a permutation σ of length n is given by τ with τ(i)=σ(n+1−i).
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
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
This map is undefined for the empty permutation.
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