Identifier
Values
[.,[.,.]] => [2,1] => [2,1] => [2,1] => 0
[[.,.],.] => [1,2] => [1,2] => [1,2] => 0
[.,[.,[.,.]]] => [3,2,1] => [3,2,1] => [3,2,1] => 0
[.,[[.,.],.]] => [2,3,1] => [2,1,3] => [2,1,3] => 0
[[.,.],[.,.]] => [1,3,2] => [2,3,1] => [3,1,2] => 0
[[.,[.,.]],.] => [2,1,3] => [1,3,2] => [1,3,2] => 0
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [1,2,3] => 0
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,3,1,2] => [3,4,2,1] => 1
[.,[.,[[.,.],.]]] => [3,4,2,1] => [3,2,4,1] => [4,2,1,3] => 0
[.,[[.,.],[.,.]]] => [2,4,3,1] => [3,2,1,4] => [3,2,1,4] => 0
[.,[[.,[.,.]],.]] => [3,2,4,1] => [2,1,3,4] => [2,1,3,4] => 0
[.,[[[.,.],.],.]] => [2,3,4,1] => [2,1,4,3] => [2,1,4,3] => 0
[[.,.],[.,[.,.]]] => [1,4,3,2] => [3,4,2,1] => [4,3,1,2] => 0
[[.,.],[[.,.],.]] => [1,3,4,2] => [2,3,1,4] => [3,1,2,4] => 0
[[.,[.,.]],[.,.]] => [2,1,4,3] => [2,4,3,1] => [4,1,3,2] => 0
[[[.,.],.],[.,.]] => [1,2,4,3] => [2,3,4,1] => [4,1,2,3] => 0
[[.,[.,[.,.]]],.] => [3,2,1,4] => [1,4,3,2] => [1,4,3,2] => 0
[[.,[[.,.],.]],.] => [2,3,1,4] => [1,4,2,3] => [1,3,4,2] => 1
[[[.,.],[.,.]],.] => [1,3,2,4] => [1,2,4,3] => [1,2,4,3] => 0
[[[.,[.,.]],.],.] => [2,1,3,4] => [1,3,2,4] => [1,3,2,4] => 0
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,4,1,2,3] => [3,4,5,2,1] => 1
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [4,3,5,1,2] => [4,5,2,1,3] => 1
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [4,3,1,5,2] => [3,5,2,1,4] => 1
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [3,2,4,5,1] => [5,2,1,3,4] => 0
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,2,5,4,1] => [5,2,1,4,3] => 0
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [4,3,1,2,5] => [3,4,2,1,5] => 1
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [3,2,5,1,4] => [4,2,1,5,3] => 1
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [3,2,1,4,5] => [3,2,1,4,5] => 0
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [3,2,1,5,4] => [3,2,1,5,4] => 0
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [2,1,3,4,5] => [2,1,3,4,5] => 0
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [2,1,4,3,5] => [2,1,4,3,5] => 0
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [2,1,4,5,3] => [2,1,5,3,4] => 0
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [2,1,5,3,4] => [2,1,4,5,3] => 1
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [2,1,5,4,3] => [2,1,5,4,3] => 0
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [4,5,3,1,2] => [4,5,3,1,2] => 1
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [3,4,2,5,1] => [5,3,1,2,4] => 0
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [3,4,2,1,5] => [4,3,1,2,5] => 0
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [2,3,1,4,5] => [3,1,2,4,5] => 0
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [2,3,1,5,4] => [3,1,2,5,4] => 0
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [3,5,4,2,1] => [5,4,1,3,2] => 0
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [2,4,3,1,5] => [4,1,3,2,5] => 0
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [3,4,5,2,1] => [5,4,1,2,3] => 0
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [2,3,4,1,5] => [4,1,2,3,5] => 0
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [2,5,4,3,1] => [5,1,4,3,2] => 0
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [2,5,3,4,1] => [5,1,3,4,2] => 1
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [2,3,5,4,1] => [5,1,2,4,3] => 0
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [2,4,3,5,1] => [5,1,3,2,4] => 0
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [2,3,4,5,1] => [5,1,2,3,4] => 0
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [1,5,4,2,3] => [1,4,5,3,2] => 1
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [1,5,2,4,3] => [1,3,5,4,2] => 1
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [1,5,3,2,4] => [1,4,3,5,2] => 1
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [1,5,2,3,4] => [1,3,4,5,2] => 1
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [1,2,5,3,4] => [1,2,4,5,3] => 1
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [1,4,2,3,5] => [1,3,4,2,5] => 1
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [5,4,6,1,2,3] => [4,5,6,2,1,3] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [5,4,1,6,2,3] => [3,5,6,2,1,4] => 2
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [4,3,5,6,1,2] => [5,6,2,1,3,4] => 1
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [4,3,6,5,1,2] => [5,6,2,1,4,3] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [5,4,1,2,6,3] => [3,4,6,2,1,5] => 1
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [4,3,6,1,5,2] => [4,6,2,1,5,3] => 1
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [4,3,1,5,6,2] => [3,6,2,1,4,5] => 1
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [4,3,1,6,5,2] => [3,6,2,1,5,4] => 1
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [3,2,4,5,6,1] => [6,2,1,3,4,5] => 0
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [3,2,5,4,6,1] => [6,2,1,4,3,5] => 0
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [3,2,5,6,4,1] => [6,2,1,5,3,4] => 0
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [3,2,6,4,5,1] => [6,2,1,4,5,3] => 1
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [3,2,6,5,4,1] => [6,2,1,5,4,3] => 0
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => 1
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [4,3,6,1,2,5] => [4,5,2,1,6,3] => 1
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [4,3,1,6,2,5] => [3,5,2,1,6,4] => 2
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [3,2,5,6,1,4] => [5,2,1,6,3,4] => 1
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [3,2,6,5,1,4] => [5,2,1,6,4,3] => 1
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => 1
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [3,2,6,1,4,5] => [4,2,1,5,6,3] => 1
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [4,3,1,2,6,5] => [3,4,2,1,6,5] => 1
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [3,2,6,1,5,4] => [4,2,1,6,5,3] => 1
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => 0
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => 0
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [3,2,1,5,6,4] => [3,2,1,6,4,5] => 0
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [3,2,1,6,4,5] => [3,2,1,5,6,4] => 1
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => 0
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => 0
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => 0
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [2,1,4,5,3,6] => [2,1,5,3,4,6] => 0
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [2,1,5,3,4,6] => [2,1,4,5,3,6] => 1
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => 0
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [2,1,4,5,6,3] => [2,1,6,3,4,5] => 0
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [2,1,5,4,6,3] => [2,1,6,4,3,5] => 0
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [2,1,5,6,3,4] => [2,1,5,6,3,4] => 1
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [2,1,5,6,4,3] => [2,1,6,5,3,4] => 0
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [2,1,6,3,4,5] => [2,1,4,5,6,3] => 1
>>> Load all 304 entries. <<<
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [2,1,6,4,3,5] => [2,1,5,4,6,3] => 1
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [2,1,6,4,5,3] => [2,1,6,4,5,3] => 1
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [2,1,6,5,3,4] => [2,1,5,6,4,3] => 1
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [5,6,4,1,2,3] => [4,5,6,3,1,2] => 1
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [4,5,3,6,1,2] => [5,6,3,1,2,4] => 1
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [4,5,3,1,6,2] => [4,6,3,1,2,5] => 1
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => 0
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [3,4,2,6,5,1] => [6,3,1,2,5,4] => 0
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [4,5,3,1,2,6] => [4,5,3,1,2,6] => 1
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [3,4,2,6,1,5] => [5,3,1,2,6,4] => 1
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [3,4,2,1,5,6] => [4,3,1,2,5,6] => 0
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [3,4,2,1,6,5] => [4,3,1,2,6,5] => 0
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [2,3,1,4,5,6] => [3,1,2,4,5,6] => 0
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [2,3,1,5,4,6] => [3,1,2,5,4,6] => 0
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [2,3,1,5,6,4] => [3,1,2,6,4,5] => 0
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [2,3,1,6,4,5] => [3,1,2,5,6,4] => 1
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [2,3,1,6,5,4] => [3,1,2,6,5,4] => 0
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [4,6,5,3,1,2] => [5,6,4,1,3,2] => 1
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [3,5,4,2,6,1] => [6,4,1,3,2,5] => 0
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [3,5,4,2,1,6] => [5,4,1,3,2,6] => 0
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [2,4,3,1,5,6] => [4,1,3,2,5,6] => 0
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [2,4,3,1,6,5] => [4,1,3,2,6,5] => 0
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [4,5,6,3,1,2] => [5,6,4,1,2,3] => 1
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => 0
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => 0
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [2,3,4,1,5,6] => [4,1,2,3,5,6] => 0
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [2,3,4,1,6,5] => [4,1,2,3,6,5] => 0
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [3,6,5,4,2,1] => [6,5,1,4,3,2] => 0
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [2,5,4,3,1,6] => [5,1,4,3,2,6] => 0
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [3,6,4,5,2,1] => [6,5,1,3,4,2] => 1
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [2,5,3,4,1,6] => [5,1,3,4,2,6] => 1
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [3,4,6,5,2,1] => [6,5,1,2,4,3] => 0
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [2,3,5,4,1,6] => [5,1,2,4,3,6] => 0
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [3,5,4,6,2,1] => [6,5,1,3,2,4] => 0
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [2,4,3,5,1,6] => [5,1,3,2,4,6] => 0
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => 0
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => 0
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [2,6,5,4,3,1] => [6,1,5,4,3,2] => 0
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [2,6,5,3,4,1] => [6,1,4,5,3,2] => 1
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [2,6,3,5,4,1] => [6,1,3,5,4,2] => 1
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [2,6,4,3,5,1] => [6,1,4,3,5,2] => 1
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [2,6,3,4,5,1] => [6,1,3,4,5,2] => 1
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [2,3,6,5,4,1] => [6,1,2,5,4,3] => 0
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [2,3,6,4,5,1] => [6,1,2,4,5,3] => 1
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [2,4,3,6,5,1] => [6,1,3,2,5,4] => 0
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,3,4,6,5,1] => [6,1,2,3,5,4] => 0
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [2,5,4,3,6,1] => [6,1,4,3,2,5] => 0
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [2,5,3,4,6,1] => [6,1,3,4,2,5] => 1
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [2,3,5,4,6,1] => [6,1,2,4,3,5] => 0
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [2,4,3,5,6,1] => [6,1,3,2,4,5] => 0
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => 0
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => 0
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [1,6,5,4,2,3] => [1,5,6,4,3,2] => 1
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [1,6,5,2,4,3] => [1,4,6,5,3,2] => 1
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [1,6,5,3,2,4] => [1,5,4,6,3,2] => 1
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [1,6,5,2,3,4] => [1,4,5,6,3,2] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [1,6,2,5,4,3] => [1,3,6,5,4,2] => 1
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [1,6,2,5,3,4] => [1,3,5,6,4,2] => 2
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [1,6,3,2,5,4] => [1,4,3,6,5,2] => 1
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [1,6,2,3,5,4] => [1,3,4,6,5,2] => 1
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [1,6,4,3,2,5] => [1,5,4,3,6,2] => 1
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [1,6,4,2,3,5] => [1,4,5,3,6,2] => 2
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [1,6,2,4,3,5] => [1,3,5,4,6,2] => 1
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [1,6,3,2,4,5] => [1,4,3,5,6,2] => 1
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [1,6,2,3,4,5] => [1,3,4,5,6,2] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => 0
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [1,2,6,5,3,4] => [1,2,5,6,4,3] => 1
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [1,2,6,3,5,4] => [1,2,4,6,5,3] => 1
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [1,2,6,4,3,5] => [1,2,5,4,6,3] => 1
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [1,2,6,3,4,5] => [1,2,4,5,6,3] => 1
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => 0
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [1,3,2,6,4,5] => [1,3,2,5,6,4] => 1
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => 0
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [1,2,3,6,4,5] => [1,2,3,5,6,4] => 1
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => 0
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [1,4,2,3,6,5] => [1,3,4,2,6,5] => 1
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => 0
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => 0
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => 0
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => 0
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [1,5,4,2,3,6] => [1,4,5,3,2,6] => 1
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [1,5,2,4,3,6] => [1,3,5,4,2,6] => 1
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [1,5,3,2,4,6] => [1,4,3,5,2,6] => 1
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [1,5,2,3,4,6] => [1,3,4,5,2,6] => 1
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => 0
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [1,2,5,3,4,6] => [1,2,4,5,3,6] => 1
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => 0
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => 0
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [1,4,3,2,5,6] => [1,4,3,2,5,6] => 0
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [1,4,2,3,5,6] => [1,3,4,2,5,6] => 1
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => 0
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => 0
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [1,7,6,2,3,5,4] => [1,4,5,7,6,3,2] => 1
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [1,7,6,2,3,4,5] => [1,4,5,6,7,3,2] => 1
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [1,7,2,6,5,4,3] => [1,3,7,6,5,4,2] => 1
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [1,7,2,6,5,3,4] => [1,3,6,7,5,4,2] => 2
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [1,7,2,6,3,5,4] => [1,3,5,7,6,4,2] => 2
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [1,7,2,6,4,3,5] => [1,3,6,5,7,4,2] => 2
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [1,7,2,6,3,4,5] => [1,3,5,6,7,4,2] => 2
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [1,7,3,2,6,5,4] => [1,4,3,7,6,5,2] => 1
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [1,7,3,2,6,4,5] => [1,4,3,6,7,5,2] => 2
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [1,7,2,3,6,5,4] => [1,3,4,7,6,5,2] => 1
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [1,7,2,3,6,4,5] => [1,3,4,6,7,5,2] => 2
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [1,7,4,2,3,6,5] => [1,4,5,3,7,6,2] => 2
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [1,7,2,4,3,6,5] => [1,3,5,4,7,6,2] => 1
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [1,7,3,2,4,6,5] => [1,4,3,5,7,6,2] => 1
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [1,7,2,3,4,6,5] => [1,3,4,5,7,6,2] => 1
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [1,7,5,2,4,3,6] => [1,4,6,5,3,7,2] => 2
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [1,7,5,2,3,4,6] => [1,4,5,6,3,7,2] => 2
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [1,7,2,5,4,3,6] => [1,3,6,5,4,7,2] => 1
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [1,7,2,5,3,4,6] => [1,3,5,6,4,7,2] => 2
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [1,7,3,2,5,4,6] => [1,4,3,6,5,7,2] => 1
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [1,7,2,3,5,4,6] => [1,3,4,6,5,7,2] => 1
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [1,7,4,2,3,5,6] => [1,4,5,3,6,7,2] => 2
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [1,7,2,4,3,5,6] => [1,3,5,4,6,7,2] => 1
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [1,7,3,2,4,5,6] => [1,4,3,5,6,7,2] => 1
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [1,7,2,3,4,5,6] => [1,3,4,5,6,7,2] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => 0
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [1,2,7,6,5,3,4] => [1,2,6,7,5,4,3] => 1
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [1,2,7,6,3,5,4] => [1,2,5,7,6,4,3] => 1
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [1,2,7,6,4,3,5] => [1,2,6,5,7,4,3] => 1
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [1,2,7,6,3,4,5] => [1,2,5,6,7,4,3] => 1
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [1,2,7,3,6,5,4] => [1,2,4,7,6,5,3] => 1
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [1,2,7,3,6,4,5] => [1,2,4,6,7,5,3] => 2
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [1,2,7,4,3,6,5] => [1,2,5,4,7,6,3] => 1
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [1,2,7,3,4,6,5] => [1,2,4,5,7,6,3] => 1
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [1,2,7,5,4,3,6] => [1,2,6,5,4,7,3] => 1
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [1,2,7,5,3,4,6] => [1,2,5,6,4,7,3] => 2
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [1,2,7,3,5,4,6] => [1,2,4,6,5,7,3] => 1
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [1,2,7,4,3,5,6] => [1,2,5,4,6,7,3] => 1
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [1,2,7,3,4,5,6] => [1,2,4,5,6,7,3] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => 0
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [1,3,2,7,6,4,5] => [1,3,2,6,7,5,4] => 1
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [1,3,2,7,4,6,5] => [1,3,2,5,7,6,4] => 1
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [1,3,2,7,5,4,6] => [1,3,2,6,5,7,4] => 1
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [1,3,2,7,4,5,6] => [1,3,2,5,6,7,4] => 1
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => 0
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [1,2,3,7,6,4,5] => [1,2,3,6,7,5,4] => 1
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [1,2,3,7,4,6,5] => [1,2,3,5,7,6,4] => 1
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [1,2,3,7,5,4,6] => [1,2,3,6,5,7,4] => 1
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [1,2,3,7,4,5,6] => [1,2,3,5,6,7,4] => 1
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => 0
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [1,4,3,2,7,5,6] => [1,4,3,2,6,7,5] => 1
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [1,4,2,3,7,6,5] => [1,3,4,2,7,6,5] => 1
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [1,4,2,3,7,5,6] => [1,3,4,2,6,7,5] => 2
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => 0
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [1,2,4,3,7,5,6] => [1,2,4,3,6,7,5] => 1
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => 0
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [1,3,2,4,7,5,6] => [1,3,2,4,6,7,5] => 1
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => 0
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [1,2,3,4,7,5,6] => [1,2,3,4,6,7,5] => 1
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [1,5,4,2,3,7,6] => [1,4,5,3,2,7,6] => 1
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [1,5,2,4,3,7,6] => [1,3,5,4,2,7,6] => 1
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [1,5,3,2,4,7,6] => [1,4,3,5,2,7,6] => 1
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [1,5,2,3,4,7,6] => [1,3,4,5,2,7,6] => 1
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => 0
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [1,2,5,3,4,7,6] => [1,2,4,5,3,7,6] => 1
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => 0
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => 0
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => 0
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [1,4,2,3,5,7,6] => [1,3,4,2,5,7,6] => 1
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => 0
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => 0
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 0
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [1,6,5,2,4,3,7] => [1,4,6,5,3,2,7] => 1
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [1,6,5,2,3,4,7] => [1,4,5,6,3,2,7] => 1
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [1,6,2,5,4,3,7] => [1,3,6,5,4,2,7] => 1
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [1,6,2,5,3,4,7] => [1,3,5,6,4,2,7] => 2
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [1,6,3,2,5,4,7] => [1,4,3,6,5,2,7] => 1
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [1,6,2,3,5,4,7] => [1,3,4,6,5,2,7] => 1
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [1,6,4,2,3,5,7] => [1,4,5,3,6,2,7] => 2
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [1,6,2,4,3,5,7] => [1,3,5,4,6,2,7] => 1
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [1,6,3,2,4,5,7] => [1,4,3,5,6,2,7] => 1
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [1,6,2,3,4,5,7] => [1,3,4,5,6,2,7] => 1
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => 0
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [1,2,6,5,3,4,7] => [1,2,5,6,4,3,7] => 1
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [1,2,6,3,5,4,7] => [1,2,4,6,5,3,7] => 1
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [1,2,6,4,3,5,7] => [1,2,5,4,6,3,7] => 1
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [1,2,6,3,4,5,7] => [1,2,4,5,6,3,7] => 1
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => 0
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [1,3,2,6,4,5,7] => [1,3,2,5,6,4,7] => 1
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => 0
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [1,2,3,6,4,5,7] => [1,2,3,5,6,4,7] => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => 0
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [1,4,2,3,6,5,7] => [1,3,4,2,6,5,7] => 1
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => 0
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => 0
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 0
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [1,5,4,2,3,6,7] => [1,4,5,3,2,6,7] => 1
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [1,5,2,4,3,6,7] => [1,3,5,4,2,6,7] => 1
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [1,5,3,2,4,6,7] => [1,4,3,5,2,6,7] => 1
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [1,5,2,3,4,6,7] => [1,3,4,5,2,6,7] => 1
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => 0
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [1,2,5,3,4,6,7] => [1,2,4,5,3,6,7] => 1
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => 0
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 0
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => 0
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [1,4,2,3,5,6,7] => [1,3,4,2,5,6,7] => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 0
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 0
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
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 tier of a permutation.
This is the number of elements $i$ such that $[i+1,k,i]$ is an occurrence of the pattern $[2,3,1]$. For example, $[3,5,6,1,2,4]$ has tier $2$, with witnesses $[3,5,2]$ (or $[3,6,2]$) and $[5,6,4]$.
According to [1], this is the number of passes minus one needed to sort the permutation using a single stack. The generating function for this statistic appears as OEIS:A122890 and OEIS:A158830 in the form of triangles read by rows, see [sec. 4, 1].
Map
inverse
Description
Sends a permutation to its inverse.
Map
ones to leading
Description
The unique permutation obtained by applying the Foata-Riordan map to obtain a Prüfer code, then prepending zero and cyclically shifting.
Let $c_1,\dots, c_{n-1}$ be the Prüfer code obtained via the Foata-Riordan map described in [1, eq (1.2)] and let $c_0 = 0$.
This map returns the a unique permutation $q_1,\dots, q_n$ such that $q_i - c_{i-1}$ is constant modulo $n+1$.
This map is Mp00299ones to leading restricted to permutations.
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.