Identifier
Values
[.,.] => [1] => [1] => [1] => 0
[.,[.,.]] => [2,1] => [2,1] => [1,2] => 0
[[.,.],.] => [1,2] => [1,2] => [1,2] => 0
[.,[.,[.,.]]] => [3,2,1] => [3,2,1] => [1,3,2] => 1
[.,[[.,.],.]] => [2,3,1] => [3,1,2] => [1,3,2] => 1
[[.,.],[.,.]] => [3,1,2] => [1,3,2] => [1,2,3] => 0
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [1,2,3] => 0
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [1,2,3] => 0
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,3,2,1] => [1,4,2,3] => 1
[.,[.,[[.,.],.]]] => [3,4,2,1] => [4,3,1,2] => [1,4,2,3] => 1
[.,[[.,.],[.,.]]] => [4,2,3,1] => [4,1,3,2] => [1,4,2,3] => 1
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,2,1,3] => [1,4,3,2] => 1
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,1,2,3] => [1,4,3,2] => 1
[[.,.],[.,[.,.]]] => [4,3,1,2] => [1,4,3,2] => [1,2,4,3] => 1
[[.,.],[[.,.],.]] => [3,4,1,2] => [1,4,2,3] => [1,2,4,3] => 1
[[.,[.,.]],[.,.]] => [4,2,1,3] => [3,1,4,2] => [1,3,4,2] => 1
[[[.,.],.],[.,.]] => [4,1,2,3] => [1,2,4,3] => [1,2,3,4] => 0
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => [1,3,2,4] => 1
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,1,2,4] => [1,3,2,4] => 1
[[[.,.],[.,.]],.] => [3,1,2,4] => [1,3,2,4] => [1,2,3,4] => 0
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [1,2,3,4] => 0
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,4,3,2,1] => [1,5,2,4,3] => 1
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [5,4,3,1,2] => [1,5,2,4,3] => 1
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => [5,4,1,3,2] => [1,5,2,4,3] => 1
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [5,4,2,1,3] => [1,5,3,2,4] => 1
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [5,4,1,2,3] => [1,5,3,2,4] => 1
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => [5,1,4,3,2] => [1,5,2,3,4] => 1
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => [5,1,4,2,3] => [1,5,3,4,2] => 1
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => [5,3,1,4,2] => [1,5,2,3,4] => 1
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => [5,1,2,4,3] => [1,5,3,2,4] => 1
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,3,2,1,4] => [1,5,4,2,3] => 2
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,3,1,2,4] => [1,5,4,2,3] => 2
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => [5,1,3,2,4] => [1,5,4,2,3] => 2
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [5,2,1,3,4] => [1,5,4,3,2] => 2
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,1,2,3,4] => [1,5,4,3,2] => 2
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => [1,5,4,3,2] => [1,2,5,3,4] => 1
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => [1,5,4,2,3] => [1,2,5,3,4] => 1
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => [1,5,2,4,3] => [1,2,5,3,4] => 1
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => [1,5,3,2,4] => [1,2,5,4,3] => 1
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => [1,5,2,3,4] => [1,2,5,4,3] => 1
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => [4,1,5,3,2] => [1,4,3,5,2] => 1
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => [4,1,5,2,3] => [1,4,2,3,5] => 1
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => [1,2,5,4,3] => [1,2,3,5,4] => 1
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => [1,2,5,3,4] => [1,2,3,5,4] => 1
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => [4,3,1,5,2] => [1,4,5,2,3] => 2
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => [4,1,2,5,3] => [1,4,5,3,2] => 2
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => [1,4,2,5,3] => [1,2,4,5,3] => 1
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => [3,1,2,5,4] => [1,3,2,4,5] => 1
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => [1,2,3,5,4] => [1,2,3,4,5] => 0
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1,5] => [1,4,2,3,5] => 1
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [4,3,1,2,5] => [1,4,2,3,5] => 1
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => [4,1,3,2,5] => [1,4,2,3,5] => 1
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,2,1,3,5] => [1,4,3,2,5] => 1
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,1,2,3,5] => [1,4,3,2,5] => 1
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => [1,4,3,2,5] => [1,2,4,3,5] => 1
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => [1,4,2,3,5] => [1,2,4,3,5] => 1
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => [3,1,4,2,5] => [1,3,4,2,5] => 1
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => [1,2,4,3,5] => [1,2,3,4,5] => 0
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4,5] => [1,3,2,4,5] => 1
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,1,2,4,5] => [1,3,2,4,5] => 1
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => [1,3,2,4,5] => [1,2,3,4,5] => 0
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => [1,2,3,4,5] => 0
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => 2
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => [1,6,2,5,3,4] => 2
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => [6,5,4,1,3,2] => [1,6,2,5,3,4] => 2
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => [1,6,3,4,2,5] => 1
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => [1,6,3,4,2,5] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => [6,5,1,4,3,2] => [1,6,2,5,3,4] => 2
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => [6,5,1,4,2,3] => [1,6,3,2,5,4] => 1
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => [6,5,3,1,4,2] => [1,6,2,5,4,3] => 2
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => [6,5,1,2,4,3] => [1,6,3,2,5,4] => 1
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [6,5,3,2,1,4] => [1,6,4,2,5,3] => 2
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => [1,6,4,2,5,3] => 2
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => [6,5,1,3,2,4] => [1,6,4,3,2,5] => 2
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [6,5,2,1,3,4] => [1,6,4,2,5,3] => 2
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => [1,6,4,2,5,3] => 2
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => [6,1,5,4,3,2] => [1,6,2,3,5,4] => 1
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => [6,1,5,4,2,3] => [1,6,3,5,2,4] => 2
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => [6,1,5,2,4,3] => [1,6,3,5,4,2] => 2
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => [6,1,5,3,2,4] => [1,6,4,3,5,2] => 2
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => [6,1,5,2,3,4] => [1,6,4,2,3,5] => 2
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => [6,4,1,5,3,2] => [1,6,2,4,5,3] => 1
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => [6,4,1,5,2,3] => [1,6,3,2,4,5] => 1
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => [6,1,2,5,4,3] => [1,6,3,2,4,5] => 1
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => [6,1,2,5,3,4] => [1,6,4,5,3,2] => 2
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => [6,4,3,1,5,2] => [1,6,2,4,3,5] => 1
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => [6,4,1,2,5,3] => [1,6,3,2,4,5] => 1
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => [6,1,4,2,5,3] => [1,6,3,4,2,5] => 1
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => [6,3,1,2,5,4] => [1,6,4,2,3,5] => 2
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => [6,1,2,3,5,4] => [1,6,4,3,2,5] => 2
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,4,3,2,1,5] => [1,6,5,2,4,3] => 2
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [6,4,3,1,2,5] => [1,6,5,2,4,3] => 2
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => [6,4,1,3,2,5] => [1,6,5,2,4,3] => 2
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [6,4,2,1,3,5] => [1,6,5,3,2,4] => 2
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => [1,6,5,3,2,4] => 2
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => [6,1,4,3,2,5] => [1,6,5,2,3,4] => 2
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => [6,1,4,2,3,5] => [1,6,5,3,4,2] => 2
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => [6,3,1,4,2,5] => [1,6,5,2,3,4] => 2
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => [6,1,2,4,3,5] => [1,6,5,3,2,4] => 2
>>> Load all 474 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [6,3,2,1,4,5] => [1,6,5,4,2,3] => 2
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => [1,6,5,4,2,3] => 2
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => [6,1,3,2,4,5] => [1,6,5,4,2,3] => 2
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [6,2,1,3,4,5] => [1,6,5,4,3,2] => 2
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2] => 2
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => [1,6,5,4,3,2] => [1,2,6,3,5,4] => 1
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => [1,6,5,4,2,3] => [1,2,6,3,5,4] => 1
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => [1,6,5,2,4,3] => [1,2,6,3,5,4] => 1
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => [1,6,5,3,2,4] => [1,2,6,4,3,5] => 1
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => [1,6,5,2,3,4] => [1,2,6,4,3,5] => 1
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => [1,6,2,5,4,3] => [1,2,6,3,4,5] => 1
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => [1,6,2,5,3,4] => [1,2,6,4,5,3] => 1
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => [1,6,4,2,5,3] => [1,2,6,3,4,5] => 1
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => [1,6,2,3,5,4] => [1,2,6,4,3,5] => 1
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => [1,6,4,3,2,5] => [1,2,6,5,3,4] => 2
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => [1,6,4,2,3,5] => [1,2,6,5,3,4] => 2
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => [1,6,2,4,3,5] => [1,2,6,5,3,4] => 2
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => [1,6,3,2,4,5] => [1,2,6,5,4,3] => 2
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => [1,6,2,3,4,5] => [1,2,6,5,4,3] => 2
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => [5,1,6,4,3,2] => [1,5,3,6,2,4] => 2
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => [5,1,6,4,2,3] => [1,5,2,3,6,4] => 1
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => [5,1,6,2,4,3] => [1,5,4,2,3,6] => 2
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => [5,1,6,3,2,4] => [1,5,2,3,6,4] => 1
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => [5,1,6,2,3,4] => [1,5,3,6,4,2] => 2
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => [1,2,6,5,4,3] => [1,2,3,6,4,5] => 1
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => [1,2,6,5,3,4] => [1,2,3,6,4,5] => 1
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => [1,2,6,3,5,4] => [1,2,3,6,4,5] => 1
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => [1,2,6,4,3,5] => [1,2,3,6,5,4] => 1
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => [1,2,6,3,4,5] => [1,2,3,6,5,4] => 1
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => [5,4,1,6,3,2] => [1,5,3,2,4,6] => 1
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => [5,4,1,6,2,3] => [1,5,2,4,6,3] => 1
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => [5,1,2,6,4,3] => [1,5,4,6,3,2] => 2
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => [5,1,2,6,3,4] => [1,5,3,2,4,6] => 1
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => [1,5,2,6,4,3] => [1,2,5,4,6,3] => 1
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => [1,5,2,6,3,4] => [1,2,5,3,4,6] => 1
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => [4,1,2,6,5,3] => [1,4,6,3,2,5] => 2
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => [4,1,2,6,3,5] => [1,4,6,5,3,2] => 2
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => [1,2,3,6,5,4] => [1,2,3,4,6,5] => 1
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => [1,2,3,6,4,5] => [1,2,3,4,6,5] => 1
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => [5,4,3,1,6,2] => [1,5,6,2,4,3] => 2
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => [5,4,1,2,6,3] => [1,5,6,3,2,4] => 2
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => [5,1,4,2,6,3] => [1,5,6,3,4,2] => 2
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => [5,3,1,2,6,4] => [1,5,6,4,2,3] => 2
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => [5,1,2,3,6,4] => [1,5,6,4,3,2] => 2
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => [1,5,4,2,6,3] => [1,2,5,6,3,4] => 2
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => [1,5,2,3,6,4] => [1,2,5,6,4,3] => 2
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => [4,1,5,2,6,3] => [1,4,2,3,5,6] => 1
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => [1,2,5,3,6,4] => [1,2,3,5,6,4] => 1
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => [4,3,1,2,6,5] => [1,4,2,3,5,6] => 1
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => [4,1,2,3,6,5] => [1,4,3,2,5,6] => 1
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => [1,4,2,3,6,5] => [1,2,4,3,5,6] => 1
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => [3,1,2,4,6,5] => [1,3,2,4,5,6] => 1
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => [1,2,3,4,5,6] => 0
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => [1,5,2,4,3,6] => 1
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [5,4,3,1,2,6] => [1,5,2,4,3,6] => 1
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => [5,4,1,3,2,6] => [1,5,2,4,3,6] => 1
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [5,4,2,1,3,6] => [1,5,3,2,4,6] => 1
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => [1,5,3,2,4,6] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => [5,1,4,3,2,6] => [1,5,2,3,4,6] => 1
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => [5,1,4,2,3,6] => [1,5,3,4,2,6] => 1
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => [5,3,1,4,2,6] => [1,5,2,3,4,6] => 1
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => [5,1,2,4,3,6] => [1,5,3,2,4,6] => 1
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,3,2,1,4,6] => [1,5,4,2,3,6] => 2
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,3,1,2,4,6] => [1,5,4,2,3,6] => 2
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => [5,1,3,2,4,6] => [1,5,4,2,3,6] => 2
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [5,2,1,3,4,6] => [1,5,4,3,2,6] => 2
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => [1,5,4,3,2,6] => 2
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => [1,5,4,3,2,6] => [1,2,5,3,4,6] => 1
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => [1,5,4,2,3,6] => [1,2,5,3,4,6] => 1
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => [1,5,2,4,3,6] => [1,2,5,3,4,6] => 1
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => [1,5,3,2,4,6] => [1,2,5,4,3,6] => 1
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => [1,5,2,3,4,6] => [1,2,5,4,3,6] => 1
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => [4,1,5,3,2,6] => [1,4,3,5,2,6] => 1
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => [4,1,5,2,3,6] => [1,4,2,3,5,6] => 1
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => [1,2,5,4,3,6] => [1,2,3,5,4,6] => 1
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => [1,2,5,3,4,6] => [1,2,3,5,4,6] => 1
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => [4,3,1,5,2,6] => [1,4,5,2,3,6] => 2
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => [4,1,2,5,3,6] => [1,4,5,3,2,6] => 2
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => [1,4,2,5,3,6] => [1,2,4,5,3,6] => 1
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => [3,1,2,5,4,6] => [1,3,2,4,5,6] => 1
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => [1,2,3,4,5,6] => 0
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => [1,4,2,3,5,6] => 1
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,3,1,2,5,6] => [1,4,2,3,5,6] => 1
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => [4,1,3,2,5,6] => [1,4,2,3,5,6] => 1
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,2,1,3,5,6] => [1,4,3,2,5,6] => 1
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,1,2,3,5,6] => [1,4,3,2,5,6] => 1
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => [1,4,3,2,5,6] => [1,2,4,3,5,6] => 1
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => [1,4,2,3,5,6] => [1,2,4,3,5,6] => 1
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => [3,1,4,2,5,6] => [1,3,4,2,5,6] => 1
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => [1,2,3,4,5,6] => 0
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => [1,3,2,4,5,6] => 1
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => 1
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => [1,2,3,4,5,6] => 0
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [1,2,3,4,5,6] => 0
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => [7,1,6,5,3,2,4] => [1,7,4,5,3,6,2] => 2
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => [7,1,2,6,3,5,4] => [1,7,4,6,5,3,2] => 2
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => [7,1,2,6,4,3,5] => [1,7,5,4,6,3,2] => 2
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => [7,1,5,2,6,4,3] => [1,7,3,5,6,4,2] => 2
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => [7,1,2,5,3,4,6] => [1,7,6,4,5,3,2] => 2
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [7,2,1,3,4,5,6] => [1,7,6,5,4,3,2] => 3
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => 3
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => [1,7,6,5,4,3,2] => [1,2,7,3,6,4,5] => 2
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => [1,7,6,5,4,2,3] => [1,2,7,3,6,4,5] => 2
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => [1,7,6,5,2,4,3] => [1,2,7,3,6,4,5] => 2
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => [1,7,6,5,3,2,4] => [1,2,7,4,5,3,6] => 1
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => [1,7,6,5,2,3,4] => [1,2,7,4,5,3,6] => 1
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => [1,7,6,2,5,4,3] => [1,2,7,3,6,4,5] => 2
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => [1,7,6,2,5,3,4] => [1,2,7,4,3,6,5] => 1
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => [1,7,6,4,2,5,3] => [1,2,7,3,6,5,4] => 2
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => [1,7,6,2,3,5,4] => [1,2,7,4,3,6,5] => 1
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => [1,7,6,4,3,2,5] => [1,2,7,5,3,6,4] => 2
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => [1,7,6,4,2,3,5] => [1,2,7,5,3,6,4] => 2
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => [1,7,6,2,4,3,5] => [1,2,7,5,4,3,6] => 2
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => [1,7,6,3,2,4,5] => [1,2,7,5,3,6,4] => 2
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => [1,7,6,2,3,4,5] => [1,2,7,5,3,6,4] => 2
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => [1,7,2,6,5,4,3] => [1,2,7,3,4,6,5] => 1
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => [1,7,2,6,5,3,4] => [1,2,7,4,6,3,5] => 2
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => [1,7,2,6,3,5,4] => [1,2,7,4,6,5,3] => 2
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => [1,7,2,6,4,3,5] => [1,2,7,5,4,6,3] => 2
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => [1,7,2,6,3,4,5] => [1,2,7,5,3,4,6] => 2
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => [1,7,5,2,6,4,3] => [1,2,7,3,5,6,4] => 1
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => [1,7,5,2,6,3,4] => [1,2,7,4,3,5,6] => 1
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => [1,7,2,3,6,5,4] => [1,2,7,4,3,5,6] => 1
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => [1,7,2,3,6,4,5] => [1,2,7,5,6,4,3] => 2
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => [1,7,5,4,2,6,3] => [1,2,7,3,5,4,6] => 1
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => [1,7,5,2,3,6,4] => [1,2,7,4,3,5,6] => 1
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => [1,7,2,5,3,6,4] => [1,2,7,4,5,3,6] => 1
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => [1,7,4,2,3,6,5] => [1,2,7,5,3,4,6] => 2
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => [1,7,2,3,4,6,5] => [1,2,7,5,4,3,6] => 2
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => [1,7,5,4,3,2,6] => [1,2,7,6,3,5,4] => 2
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => [1,7,5,4,2,3,6] => [1,2,7,6,3,5,4] => 2
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => [1,7,5,2,4,3,6] => [1,2,7,6,3,5,4] => 2
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => [1,7,5,3,2,4,6] => [1,2,7,6,4,3,5] => 2
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => [1,7,5,2,3,4,6] => [1,2,7,6,4,3,5] => 2
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => [1,7,2,5,4,3,6] => [1,2,7,6,3,4,5] => 2
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => [1,7,2,5,3,4,6] => [1,2,7,6,4,5,3] => 2
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => [1,7,4,2,5,3,6] => [1,2,7,6,3,4,5] => 2
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => [1,7,2,3,5,4,6] => [1,2,7,6,4,3,5] => 2
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => [1,7,4,3,2,5,6] => [1,2,7,6,5,3,4] => 2
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => [1,7,4,2,3,5,6] => [1,2,7,6,5,3,4] => 2
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => [1,7,2,4,3,5,6] => [1,2,7,6,5,3,4] => 2
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => [1,7,3,2,4,5,6] => [1,2,7,6,5,4,3] => 2
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => [1,7,2,3,4,5,6] => [1,2,7,6,5,4,3] => 2
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => [6,1,7,5,4,2,3] => [1,6,2,3,7,4,5] => 2
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => [6,1,7,5,3,2,4] => [1,6,2,3,7,4,5] => 2
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => [1,2,7,6,5,4,3] => [1,2,3,7,4,6,5] => 1
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => [1,2,7,6,5,3,4] => [1,2,3,7,4,6,5] => 1
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => [1,2,7,6,3,5,4] => [1,2,3,7,4,6,5] => 1
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => [1,2,7,6,4,3,5] => [1,2,3,7,5,4,6] => 1
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => [1,2,7,6,3,4,5] => [1,2,3,7,5,4,6] => 1
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => [1,2,7,3,6,5,4] => [1,2,3,7,4,5,6] => 1
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => [1,2,7,3,6,4,5] => [1,2,3,7,5,6,4] => 1
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => [1,2,7,5,3,6,4] => [1,2,3,7,4,5,6] => 1
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => [1,2,7,3,4,6,5] => [1,2,3,7,5,4,6] => 1
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => [1,2,7,5,4,3,6] => [1,2,3,7,6,4,5] => 2
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => [1,2,7,5,3,4,6] => [1,2,3,7,6,4,5] => 2
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => [1,2,7,3,5,4,6] => [1,2,3,7,6,4,5] => 2
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => [1,2,7,4,3,5,6] => [1,2,3,7,6,5,4] => 2
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => [1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => 2
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => [1,6,2,7,5,4,3] => [1,2,6,4,7,3,5] => 2
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => [1,6,2,7,5,3,4] => [1,2,6,3,4,7,5] => 1
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => [1,6,2,7,3,5,4] => [1,2,6,5,3,4,7] => 2
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => [1,6,2,7,4,3,5] => [1,2,6,3,4,7,5] => 1
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => [1,6,2,7,3,4,5] => [1,2,6,4,7,5,3] => 2
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => [5,1,2,7,6,4,3] => [1,5,6,4,7,3,2] => 2
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => [5,1,2,7,4,3,6] => [1,5,4,7,6,3,2] => 2
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => [1,2,3,7,6,5,4] => [1,2,3,4,7,5,6] => 1
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => [1,2,3,7,6,4,5] => [1,2,3,4,7,5,6] => 1
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => [1,2,3,7,4,6,5] => [1,2,3,4,7,5,6] => 1
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => [1,2,3,7,5,4,6] => [1,2,3,4,7,6,5] => 1
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => [1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => 1
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => [6,1,2,3,7,5,4] => [1,6,5,7,4,3,2] => 3
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => [1,6,5,2,7,4,3] => [1,2,6,4,3,5,7] => 1
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => [1,6,5,2,7,3,4] => [1,2,6,3,5,7,4] => 1
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => [1,6,2,3,7,5,4] => [1,2,6,5,7,4,3] => 2
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => [1,6,2,3,7,4,5] => [1,2,6,4,3,5,7] => 1
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => [1,2,6,3,7,5,4] => [1,2,3,6,5,7,4] => 1
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => [1,2,6,3,7,4,5] => [1,2,3,6,4,5,7] => 1
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => [5,1,2,3,7,4,6] => [1,5,7,6,4,3,2] => 3
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => [1,5,2,3,7,6,4] => [1,2,5,7,4,3,6] => 2
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => [1,5,2,3,7,4,6] => [1,2,5,7,6,4,3] => 2
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => [4,1,2,3,7,6,5] => [1,4,3,2,5,7,6] => 2
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => [4,1,2,3,7,5,6] => [1,4,3,2,5,7,6] => 2
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => [1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => 1
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => [1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => 1
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => [6,1,2,3,4,7,5] => [1,6,7,5,4,3,2] => 3
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => [1,6,5,4,2,7,3] => [1,2,6,7,3,5,4] => 2
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => [1,6,5,2,3,7,4] => [1,2,6,7,4,3,5] => 2
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => [1,6,2,5,3,7,4] => [1,2,6,7,4,5,3] => 2
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => [1,6,4,2,3,7,5] => [1,2,6,7,5,3,4] => 2
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => [1,6,2,3,4,7,5] => [1,2,6,7,5,4,3] => 2
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => [1,2,6,5,3,7,4] => [1,2,3,6,7,4,5] => 2
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => [1,2,6,3,4,7,5] => [1,2,3,6,7,5,4] => 2
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => [1,5,2,6,3,7,4] => [1,2,5,3,4,6,7] => 1
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => [4,1,2,6,3,7,5] => [1,4,6,7,5,3,2] => 2
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => [1,2,3,6,4,7,5] => [1,2,3,4,6,7,5] => 1
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => [1,5,4,2,3,7,6] => [1,2,5,3,4,6,7] => 1
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => [1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => 1
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => [4,1,5,2,3,7,6] => [1,4,2,3,5,6,7] => 1
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => [1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => 1
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => [4,3,1,2,5,7,6] => [1,4,2,3,5,6,7] => 1
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => [4,1,2,3,5,7,6] => [1,4,3,2,5,6,7] => 1
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => [1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => 1
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => [3,1,2,4,5,7,6] => [1,3,2,4,5,6,7] => 1
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => 0
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => [1,6,5,4,3,2,7] => [1,2,6,3,5,4,7] => 1
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => [1,6,5,4,2,3,7] => [1,2,6,3,5,4,7] => 1
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => [1,6,5,2,4,3,7] => [1,2,6,3,5,4,7] => 1
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => [1,6,5,3,2,4,7] => [1,2,6,4,3,5,7] => 1
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => [1,6,5,2,3,4,7] => [1,2,6,4,3,5,7] => 1
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => [1,6,2,5,4,3,7] => [1,2,6,3,4,5,7] => 1
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => [1,6,2,5,3,4,7] => [1,2,6,4,5,3,7] => 1
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => [1,6,4,2,5,3,7] => [1,2,6,3,4,5,7] => 1
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => [1,6,2,3,5,4,7] => [1,2,6,4,3,5,7] => 1
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => [1,6,4,3,2,5,7] => [1,2,6,5,3,4,7] => 2
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => [1,6,4,2,3,5,7] => [1,2,6,5,3,4,7] => 2
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => [1,6,2,4,3,5,7] => [1,2,6,5,3,4,7] => 2
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => [1,6,3,2,4,5,7] => [1,2,6,5,4,3,7] => 2
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => [1,6,2,3,4,5,7] => [1,2,6,5,4,3,7] => 2
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => [1,2,6,5,4,3,7] => [1,2,3,6,4,5,7] => 1
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => [1,2,6,5,3,4,7] => [1,2,3,6,4,5,7] => 1
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => [1,2,6,3,5,4,7] => [1,2,3,6,4,5,7] => 1
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => [1,2,6,4,3,5,7] => [1,2,3,6,5,4,7] => 1
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => [1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => 1
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => [1,5,2,6,4,3,7] => [1,2,5,4,6,3,7] => 1
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => [1,5,2,6,3,4,7] => [1,2,5,3,4,6,7] => 1
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => [4,1,2,6,5,3,7] => [1,4,6,3,2,5,7] => 2
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => [4,1,2,6,3,5,7] => [1,4,6,5,3,2,7] => 2
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => [1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => 1
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => [1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => 1
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => [1,5,4,2,6,3,7] => [1,2,5,6,3,4,7] => 2
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => [1,5,2,3,6,4,7] => [1,2,5,6,4,3,7] => 2
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => [4,1,5,2,6,3,7] => [1,4,2,3,5,6,7] => 1
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => [1,2,5,3,6,4,7] => [1,2,3,5,6,4,7] => 1
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => [4,3,1,2,6,5,7] => [1,4,2,3,5,6,7] => 1
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => [4,1,2,3,6,5,7] => [1,4,3,2,5,6,7] => 1
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => [1,4,2,3,6,5,7] => [1,2,4,3,5,6,7] => 1
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => [3,1,2,4,6,5,7] => [1,3,2,4,5,6,7] => 1
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => 0
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => [1,5,4,3,2,6,7] => [1,2,5,3,4,6,7] => 1
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => [1,5,4,2,3,6,7] => [1,2,5,3,4,6,7] => 1
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => [1,5,2,4,3,6,7] => [1,2,5,3,4,6,7] => 1
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => [1,5,3,2,4,6,7] => [1,2,5,4,3,6,7] => 1
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => [1,5,2,3,4,6,7] => [1,2,5,4,3,6,7] => 1
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => [4,1,5,3,2,6,7] => [1,4,3,5,2,6,7] => 1
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => [4,1,5,2,3,6,7] => [1,4,2,3,5,6,7] => 1
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => [1,2,5,4,3,6,7] => [1,2,3,5,4,6,7] => 1
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => [1,2,5,3,4,6,7] => [1,2,3,5,4,6,7] => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => [4,3,1,5,2,6,7] => [1,4,5,2,3,6,7] => 2
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => [4,1,2,5,3,6,7] => [1,4,5,3,2,6,7] => 2
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => [1,4,2,5,3,6,7] => [1,2,4,5,3,6,7] => 1
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => [3,1,2,5,4,6,7] => [1,3,2,4,5,6,7] => 1
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => 0
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => [1,4,2,3,5,6,7] => 1
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [4,3,1,2,5,6,7] => [1,4,2,3,5,6,7] => 1
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => [4,1,3,2,5,6,7] => [1,4,2,3,5,6,7] => 1
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,2,1,3,5,6,7] => [1,4,3,2,5,6,7] => 1
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,1,2,3,5,6,7] => [1,4,3,2,5,6,7] => 1
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => [1,4,3,2,5,6,7] => [1,2,4,3,5,6,7] => 1
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => [1,4,2,3,5,6,7] => [1,2,4,3,5,6,7] => 1
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => [3,1,4,2,5,6,7] => [1,3,4,2,5,6,7] => 1
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => 2
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [8,7,6,5,4,3,1,2] => [1,8,2,7,3,6,4,5] => 2
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [8,6,7,5,4,3,2,1] => [8,7,6,5,4,1,3,2] => [1,8,2,7,3,6,4,5] => 2
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [8,7,5,6,4,3,2,1] => [8,7,6,5,1,4,3,2] => [1,8,2,7,3,6,4,5] => 2
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [8,7,6,4,5,3,2,1] => [8,7,6,1,5,4,3,2] => [1,8,2,7,3,6,4,5] => 2
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [8,7,5,4,3,6,2,1] => [8,7,5,4,1,6,3,2] => [1,8,2,7,3,5,4,6] => 2
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [8,7,2,3,4,5,6,1] => [8,1,2,3,4,7,6,5] => [1,8,5,4,3,2,6,7] => 2
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [7,8,2,3,4,5,6,1] => [8,1,2,3,4,7,5,6] => [1,8,6,7,5,4,3,2] => 3
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [8,6,5,4,3,2,7,1] => [8,6,5,4,3,1,7,2] => [1,8,2,6,3,5,4,7] => 2
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [6,7,2,3,4,5,8,1] => [8,1,2,3,6,4,5,7] => [1,8,7,5,6,4,3,2] => 3
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [8,3,2,1,4,5,6,7] => [1,8,7,6,5,4,2,3] => 3
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,3,1,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => 3
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => [8,1,3,2,4,5,6,7] => [1,8,7,6,5,4,2,3] => 3
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [8,2,1,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => 3
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,1,2,3,4,5,6,7] => [1,8,7,6,5,4,3,2] => 3
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [6,4,3,5,7,8,1,2] => [1,8,4,2,5,3,6,7] => [1,2,8,7,6,3,4,5] => 3
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [8,7,6,5,4,1,2,3] => [1,2,8,7,6,5,4,3] => [1,2,3,8,4,7,5,6] => 2
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [7,8,6,5,4,1,2,3] => [1,2,8,7,6,5,3,4] => [1,2,3,8,4,7,5,6] => 2
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [8,7,6,2,1,3,4,5] => [5,1,2,3,8,7,6,4] => [1,5,8,4,3,2,6,7] => 2
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [6,7,8,2,1,3,4,5] => [5,1,2,3,8,4,6,7] => [1,5,8,7,6,4,3,2] => 3
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [8,7,6,1,2,3,4,5] => [1,2,3,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => 1
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [7,8,6,1,2,3,4,5] => [1,2,3,4,8,7,5,6] => [1,2,3,4,5,8,6,7] => 1
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [8,6,7,1,2,3,4,5] => [1,2,3,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => 1
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [8,7,2,3,4,5,1,6] => [7,1,2,3,4,8,6,5] => [1,7,6,8,5,4,3,2] => 3
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [7,8,2,3,4,1,5,6] => [6,1,2,3,4,8,5,7] => [1,6,8,7,5,4,3,2] => 3
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [8,7,1,2,3,4,5,6] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => 1
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [7,8,1,2,3,4,5,6] => [1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => 1
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [8,4,3,5,6,2,1,7] => [7,6,3,1,2,4,8,5] => [1,7,8,5,2,6,4,3] => 3
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [8,2,3,4,5,6,1,7] => [7,1,2,3,4,5,8,6] => [1,7,8,6,5,4,3,2] => 3
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [8,6,4,1,2,3,5,7] => [1,2,6,3,7,4,8,5] => [1,2,3,6,4,5,7,8] => 1
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [8,5,4,3,2,1,6,7] => [6,5,4,3,1,2,8,7] => [1,6,2,5,3,4,7,8] => 2
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [8,4,1,2,3,5,6,7] => [1,2,5,3,4,6,8,7] => [1,2,3,5,4,6,7,8] => 1
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [8,3,2,1,4,5,6,7] => [4,3,1,2,5,6,8,7] => [1,4,2,3,5,6,7,8] => 1
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [8,2,1,3,4,5,6,7] => [3,1,2,4,5,6,8,7] => [1,3,2,4,5,6,7,8] => 1
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => 0
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [1,7,2,6,3,5,4,8] => 2
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [7,6,5,4,3,1,2,8] => [1,7,2,6,3,5,4,8] => 2
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [7,5,6,4,3,2,1,8] => [7,6,5,4,1,3,2,8] => [1,7,2,6,3,5,4,8] => 2
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [7,6,4,5,3,2,1,8] => [7,6,5,1,4,3,2,8] => [1,7,2,6,3,5,4,8] => 2
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [7,6,5,4,1,2,3,8] => [1,2,7,6,5,4,3,8] => [1,2,3,7,4,6,5,8] => 1
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [7,5,4,6,1,2,3,8] => [1,2,7,5,3,6,4,8] => [1,2,3,7,4,5,6,8] => 1
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [7,6,1,2,3,4,5,8] => [1,2,3,4,7,6,5,8] => [1,2,3,4,5,7,6,8] => 1
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [6,7,1,2,3,4,5,8] => [1,2,3,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => 1
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [7,4,3,2,1,5,6,8] => [5,4,3,1,2,7,6,8] => [1,5,2,4,3,6,7,8] => 1
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [7,4,1,2,3,5,6,8] => [1,2,5,3,4,7,6,8] => [1,2,3,5,4,6,7,8] => 1
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [7,3,2,1,4,5,6,8] => [4,3,1,2,5,7,6,8] => [1,4,2,3,5,6,7,8] => 1
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [7,2,1,3,4,5,6,8] => [3,1,2,4,5,7,6,8] => [1,3,2,4,5,6,7,8] => 1
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [7,1,2,3,4,5,6,8] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => 0
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => [1,6,2,5,3,4,7,8] => 2
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [6,5,4,3,1,2,7,8] => [1,6,2,5,3,4,7,8] => 2
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [6,5,3,4,2,1,7,8] => [6,5,1,4,3,2,7,8] => [1,6,2,5,3,4,7,8] => 2
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [6,4,3,2,5,1,7,8] => [6,4,3,1,5,2,7,8] => [1,6,2,4,3,5,7,8] => 1
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [6,5,4,1,2,3,7,8] => [1,2,6,5,4,3,7,8] => [1,2,3,6,4,5,7,8] => 1
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [6,4,3,1,2,5,7,8] => [1,5,4,2,6,3,7,8] => [1,2,5,6,3,4,7,8] => 2
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [6,4,2,1,3,5,7,8] => [4,1,5,2,6,3,7,8] => [1,4,2,3,5,6,7,8] => 1
[[[[[.,[.,[.,.]]],.],[.,.]],.],.] => [6,3,2,1,4,5,7,8] => [4,3,1,2,6,5,7,8] => [1,4,2,3,5,6,7,8] => 1
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [6,1,2,3,4,5,7,8] => [1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => [1,5,2,4,3,6,7,8] => 1
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [5,4,3,1,2,6,7,8] => [1,5,2,4,3,6,7,8] => 1
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [5,3,4,2,1,6,7,8] => [5,4,1,3,2,6,7,8] => [1,5,2,4,3,6,7,8] => 1
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [5,4,2,3,1,6,7,8] => [5,1,4,3,2,6,7,8] => [1,5,2,3,4,6,7,8] => 1
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [5,3,2,4,1,6,7,8] => [5,3,1,4,2,6,7,8] => [1,5,2,3,4,6,7,8] => 1
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [5,4,1,2,3,6,7,8] => [1,2,5,4,3,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [4,5,1,2,3,6,7,8] => [1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => 1
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [5,1,2,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [1,4,2,3,5,6,7,8] => 1
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [4,3,1,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => 1
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [4,2,3,1,5,6,7,8] => [4,1,3,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => 1
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [4,1,2,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => 1
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => 1
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [3,1,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [9,1,2,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => 4
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [10,1,2,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => 4
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [10,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,9,10] => 0
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [9,2,1,3,4,5,6,7,8] => [1,9,8,7,6,5,4,3,2] => 4
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [10,2,1,3,4,5,6,7,8,9] => [1,10,9,8,7,6,5,4,3,2] => 4
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [11,1,2,3,4,5,6,7,8,9,10] => [1,11,10,9,8,7,6,5,4,3,2] => 5
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [8,9,1,2,3,4,5,6,7] => [1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,7,9,8] => 1
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,7,9,8] => 1
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [9,10,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,10,8,9] => [1,2,3,4,5,6,7,8,10,9] => 1
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [5,1,2,3,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [6,1,2,3,4,5,7,8,9] => [1,2,3,4,6,5,7,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [7,1,2,3,4,5,6,8,9] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [8,1,2,3,4,5,6,7,9] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,7,8,9] => 0
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [3,1,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [4,1,2,3,5,6,7,8,9,10] => [1,2,4,3,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [5,1,2,3,4,6,7,8,9,10] => [1,2,3,5,4,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [6,1,2,3,4,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [7,1,2,3,4,5,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [8,1,2,3,4,5,6,7,9,10] => [1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [9,1,2,3,4,5,6,7,8,10] => [1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,8,9,10] => 0
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [10,9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,8,10,9] => 1
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [9,2,3,4,5,6,7,1,8] => [8,1,2,3,4,5,6,9,7] => [1,8,9,7,6,5,4,3,2] => 4
[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] => [10,11,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,11,9,10] => [1,2,3,4,5,6,7,8,9,11,10] => 1
[[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]] => [9,8,2,3,4,5,6,1,7] => [8,1,2,3,4,5,9,7,6] => [1,8,7,9,6,5,4,3,2] => 4
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The number of cycle peaks and the number of cycle valleys of a permutation.
A cycle peak of a permutation $\pi$ is an index $i$ such that $\pi^{-1}(i) < i > \pi(i)$. Analogously, a cycle valley is an index $i$ such that $\pi^{-1}(i) > i < \pi(i)$.
Clearly, every cycle of $\pi$ contains as many peaks as valleys.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
major-index to inversion-number bijection
Description
Return the permutation whose Lehmer code equals the major code of the preimage.
This map sends the major index to the number of inversions.
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.