Identifier
Values
[.,.] => [1] => [1] => 0
[.,[.,.]] => [2,1] => [1,2] => 0
[[.,.],.] => [1,2] => [2,1] => 0
[.,[.,[.,.]]] => [3,2,1] => [1,2,3] => 0
[.,[[.,.],.]] => [2,3,1] => [3,1,2] => 1
[[.,.],[.,.]] => [1,3,2] => [2,1,3] => 0
[[.,[.,.]],.] => [2,1,3] => [3,2,1] => 0
[[[.,.],.],.] => [1,2,3] => [2,3,1] => 1
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,2,3,4] => 0
[.,[.,[[.,.],.]]] => [3,4,2,1] => [4,1,2,3] => 1
[.,[[.,.],[.,.]]] => [2,4,3,1] => [3,1,2,4] => 1
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,3,1,2] => 1
[.,[[[.,.],.],.]] => [2,3,4,1] => [3,4,1,2] => 1
[[.,.],[.,[.,.]]] => [1,4,3,2] => [2,1,3,4] => 0
[[.,.],[[.,.],.]] => [1,3,4,2] => [2,4,1,3] => 1
[[.,[.,.]],[.,.]] => [2,1,4,3] => [3,2,1,4] => 0
[[[.,.],.],[.,.]] => [1,2,4,3] => [2,3,1,4] => 1
[[.,[.,[.,.]]],.] => [3,2,1,4] => [4,3,2,1] => 0
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,4,2,1] => 1
[[[.,.],[.,.]],.] => [1,3,2,4] => [2,4,3,1] => 1
[[[.,[.,.]],.],.] => [2,1,3,4] => [3,2,4,1] => 1
[[[[.,.],.],.],.] => [1,2,3,4] => [2,3,4,1] => 1
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,2,3,4,5] => 0
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [5,1,2,3,4] => 1
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [4,1,2,3,5] => 1
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [5,4,1,2,3] => 1
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [4,5,1,2,3] => 1
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [3,1,2,4,5] => 1
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [3,5,1,2,4] => 1
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [4,3,1,2,5] => 1
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [3,4,1,2,5] => 1
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,4,3,1,2] => 1
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [4,5,3,1,2] => 2
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [3,5,4,1,2] => 1
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [4,3,5,1,2] => 1
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [3,4,5,1,2] => 1
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [2,1,3,4,5] => 0
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [2,5,1,3,4] => 1
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [2,4,1,3,5] => 1
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [2,5,4,1,3] => 1
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [2,4,5,1,3] => 1
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [3,2,1,4,5] => 0
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [3,2,5,1,4] => 1
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [2,3,1,4,5] => 1
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [2,3,5,1,4] => 1
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [4,3,2,1,5] => 0
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [3,4,2,1,5] => 1
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [2,4,3,1,5] => 1
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [3,2,4,1,5] => 1
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [2,3,4,1,5] => 1
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [5,4,3,2,1] => 0
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [4,5,3,2,1] => 1
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [3,5,4,2,1] => 1
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,3,5,2,1] => 1
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [3,4,5,2,1] => 1
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [2,5,4,3,1] => 1
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [2,4,5,3,1] => 2
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [3,2,5,4,1] => 1
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [2,3,5,4,1] => 1
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [4,3,2,5,1] => 1
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,4,2,5,1] => 2
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [2,4,3,5,1] => 1
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [3,2,4,5,1] => 1
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [2,3,4,5,1] => 1
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [6,1,2,3,4,5] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [5,1,2,3,4,6] => 1
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [6,5,1,2,3,4] => 1
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [5,6,1,2,3,4] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [4,1,2,3,5,6] => 1
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [4,6,1,2,3,5] => 1
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [5,4,1,2,3,6] => 1
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [4,5,1,2,3,6] => 1
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [6,5,4,1,2,3] => 1
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [5,6,4,1,2,3] => 2
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [4,6,5,1,2,3] => 1
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [5,4,6,1,2,3] => 1
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [4,5,6,1,2,3] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [3,1,2,4,5,6] => 1
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [3,6,1,2,4,5] => 1
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [3,5,1,2,4,6] => 1
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [3,6,5,1,2,4] => 1
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [3,5,6,1,2,4] => 1
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [4,3,1,2,5,6] => 1
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [4,3,6,1,2,5] => 1
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [3,4,1,2,5,6] => 1
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [3,4,6,1,2,5] => 1
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [5,4,3,1,2,6] => 1
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [4,5,3,1,2,6] => 2
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [3,5,4,1,2,6] => 1
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [4,3,5,1,2,6] => 1
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [3,4,5,1,2,6] => 1
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,5,4,3,1,2] => 1
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [5,6,4,3,1,2] => 2
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [4,6,5,3,1,2] => 2
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [5,4,6,3,1,2] => 2
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [4,5,6,3,1,2] => 2
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [3,6,5,4,1,2] => 1
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [3,5,6,4,1,2] => 2
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [4,3,6,5,1,2] => 1
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [3,4,6,5,1,2] => 1
>>> Load all 402 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [5,4,3,6,1,2] => 1
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [4,5,3,6,1,2] => 2
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [3,5,4,6,1,2] => 1
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [4,3,5,6,1,2] => 1
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [3,4,5,6,1,2] => 1
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [2,1,3,4,5,6] => 0
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [2,6,1,3,4,5] => 1
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [2,5,1,3,4,6] => 1
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [2,6,5,1,3,4] => 1
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [2,5,6,1,3,4] => 1
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [2,4,1,3,5,6] => 1
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [2,4,6,1,3,5] => 1
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [2,5,4,1,3,6] => 1
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [2,4,5,1,3,6] => 1
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [2,6,5,4,1,3] => 1
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [2,5,6,4,1,3] => 2
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [2,4,6,5,1,3] => 1
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [2,5,4,6,1,3] => 1
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [2,4,5,6,1,3] => 1
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [3,2,1,4,5,6] => 0
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [3,2,6,1,4,5] => 1
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [3,2,5,1,4,6] => 1
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [3,2,6,5,1,4] => 1
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [3,2,5,6,1,4] => 1
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [2,3,1,4,5,6] => 1
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [2,3,6,1,4,5] => 1
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [2,3,5,1,4,6] => 1
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [2,3,6,5,1,4] => 1
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [2,3,5,6,1,4] => 1
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [4,3,2,1,5,6] => 0
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [4,3,2,6,1,5] => 1
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [3,4,2,1,5,6] => 1
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [3,4,2,6,1,5] => 2
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [2,4,3,1,5,6] => 1
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [2,4,3,6,1,5] => 1
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [3,2,4,1,5,6] => 1
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [3,2,4,6,1,5] => 1
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [2,3,4,1,5,6] => 1
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => 1
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [5,4,3,2,1,6] => 0
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [4,5,3,2,1,6] => 1
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [3,5,4,2,1,6] => 1
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [4,3,5,2,1,6] => 1
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [3,4,5,2,1,6] => 1
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => 1
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [2,4,5,3,1,6] => 2
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [3,2,5,4,1,6] => 1
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => 1
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [4,3,2,5,1,6] => 1
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [3,4,2,5,1,6] => 2
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => 1
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [3,2,4,5,1,6] => 1
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [6,5,4,3,2,1] => 0
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [5,6,4,3,2,1] => 1
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [4,6,5,3,2,1] => 1
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [5,4,6,3,2,1] => 1
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [4,5,6,3,2,1] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [3,6,5,4,2,1] => 1
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [3,5,6,4,2,1] => 2
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [4,3,6,5,2,1] => 1
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [3,4,6,5,2,1] => 1
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,4,3,6,2,1] => 1
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [4,5,3,6,2,1] => 2
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [3,5,4,6,2,1] => 1
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [4,3,5,6,2,1] => 1
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [3,4,5,6,2,1] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [2,6,5,4,3,1] => 1
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [2,5,6,4,3,1] => 2
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [2,4,6,5,3,1] => 2
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [2,5,4,6,3,1] => 2
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [2,4,5,6,3,1] => 2
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [3,2,6,5,4,1] => 1
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [3,2,5,6,4,1] => 2
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => 1
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [2,3,5,6,4,1] => 2
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [4,3,2,6,5,1] => 1
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [3,4,2,6,5,1] => 2
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => 1
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [3,2,4,6,5,1] => 1
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => 1
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [5,4,3,2,6,1] => 1
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,5,3,2,6,1] => 2
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [3,5,4,2,6,1] => 2
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,3,5,2,6,1] => 2
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [3,4,5,2,6,1] => 2
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => 1
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [2,4,5,3,6,1] => 2
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [3,2,5,4,6,1] => 1
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => 1
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [4,3,2,5,6,1] => 1
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,4,2,5,6,1] => 2
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => 1
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [3,2,4,5,6,1] => 1
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => 1
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => 0
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [7,1,2,3,4,5,6] => 1
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [6,1,2,3,4,5,7] => 1
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [7,6,1,2,3,4,5] => 1
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [6,7,1,2,3,4,5] => 1
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [5,1,2,3,4,6,7] => 1
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [5,6,1,2,3,4,7] => 1
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [7,6,5,1,2,3,4] => 1
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [5,6,7,1,2,3,4] => 1
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [4,1,2,3,5,6,7] => 1
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [4,6,1,2,3,5,7] => 1
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [4,5,6,1,2,3,7] => 1
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [7,6,5,4,1,2,3] => 1
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [5,4,6,7,1,2,3] => 1
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [3,1,2,4,5,6,7] => 1
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [3,6,1,2,4,5,7] => 1
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [3,5,6,1,2,4,7] => 1
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [3,4,1,2,5,6,7] => 1
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,6,5,4,3,1,2] => 1
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [3,4,5,6,7,1,2] => 1
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [2,1,3,4,5,6,7] => 0
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [2,7,1,3,4,5,6] => 1
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [2,6,1,3,4,5,7] => 1
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [2,6,7,1,3,4,5] => 1
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [2,5,1,3,4,6,7] => 1
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [2,5,7,1,3,4,6] => 1
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [2,4,1,3,5,6,7] => 1
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [3,2,1,4,5,6,7] => 0
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [2,3,1,4,5,6,7] => 1
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,3,5,6,7,1,4] => 1
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [4,3,2,1,5,6,7] => 0
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [2,3,4,1,5,6,7] => 1
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [2,3,4,7,1,5,6] => 1
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,3,4,6,7,1,5] => 1
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [5,4,3,2,1,6,7] => 0
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => 1
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [6,5,4,3,2,1,7] => 0
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [5,6,4,3,2,1,7] => 1
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [4,6,5,3,2,1,7] => 1
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [5,4,6,3,2,1,7] => 1
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [4,5,6,3,2,1,7] => 1
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [3,6,5,4,2,1,7] => 1
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [3,5,6,4,2,1,7] => 2
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [4,3,6,5,2,1,7] => 1
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [5,4,3,6,2,1,7] => 1
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [4,5,3,6,2,1,7] => 2
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [2,6,5,4,3,1,7] => 1
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [5,4,3,2,6,1,7] => 1
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [7,6,5,4,3,2,1] => 0
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [3,4,5,6,2,7,1] => 2
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,3,5,2,6,7,1] => 2
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [3,4,5,2,6,7,1] => 2
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [4,3,2,5,6,7,1] => 1
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,4,2,5,6,7,1] => 2
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [3,2,4,5,6,7,1] => 1
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => 1
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => 0
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [8,1,2,3,4,5,6,7] => 1
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [7,1,2,3,4,5,6,8] => 1
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [8,7,1,2,3,4,5,6] => 1
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [7,8,1,2,3,4,5,6] => 1
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [6,1,2,3,4,5,7,8] => 1
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [6,7,1,2,3,4,5,8] => 1
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [8,7,6,1,2,3,4,5] => 1
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [6,7,8,1,2,3,4,5] => 1
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [5,1,2,3,4,6,7,8] => 1
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [5,7,1,2,3,4,6,8] => 1
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [5,6,7,1,2,3,4,8] => 1
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [8,7,6,5,1,2,3,4] => 1
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [6,5,8,7,1,2,3,4] => 1
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [5,6,7,8,1,2,3,4] => 1
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [4,7,1,2,3,5,6,8] => 1
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [4,6,7,8,1,2,3,5] => 1
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [4,5,7,8,1,2,3,6] => 1
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [4,5,6,1,2,3,7,8] => 1
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [4,5,6,8,1,2,3,7] => 1
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [8,7,6,5,4,1,2,3] => 1
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [6,7,8,5,4,1,2,3] => 2
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => [4,7,6,5,8,1,2,3] => 1
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [3,6,7,8,1,2,4,5] => 1
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [3,5,7,8,1,2,4,6] => 1
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [3,5,6,8,1,2,4,7] => 1
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [3,4,1,2,5,6,7,8] => 1
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [3,4,7,8,1,2,5,6] => 1
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [3,4,6,8,1,2,5,7] => 1
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,7,6,5,4,3,1,2] => 1
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [7,8,6,5,4,3,1,2] => 2
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [3,6,5,8,7,4,1,2] => 2
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [5,4,3,8,7,6,1,2] => 1
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [4,5,3,7,8,6,1,2] => 3
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [4,3,5,6,8,7,1,2] => 1
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [3,5,4,7,6,8,1,2] => 1
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [3,4,5,6,7,8,1,2] => 1
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [2,1,3,4,5,6,7,8] => 0
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [2,8,1,3,4,5,6,7] => 1
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [2,7,1,3,4,5,6,8] => 1
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [2,7,8,1,3,4,5,6] => 1
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [2,6,1,3,4,5,7,8] => 1
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [2,6,7,8,1,3,4,5] => 1
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [2,5,7,8,1,3,4,6] => 1
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [2,5,6,8,1,3,4,7] => 1
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [2,4,7,8,1,3,5,6] => 1
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [2,4,6,8,1,3,5,7] => 1
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [2,7,6,8,5,4,1,3] => 2
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [3,2,1,4,5,6,7,8] => 0
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [3,2,7,8,1,4,5,6] => 1
[[[.,.],.],[[[[.,.],[.,.]],.],.]] => [1,2,4,6,5,7,8,3] => [2,3,5,7,6,8,1,4] => 1
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [4,3,2,1,5,6,7,8] => 0
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [5,4,3,2,1,6,7,8] => 0
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [5,4,3,2,8,1,6,7] => 1
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [3,2,5,4,8,1,6,7] => 1
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [2,3,4,5,1,6,7,8] => 1
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,3,4,5,7,8,1,6] => 1
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [6,5,4,3,2,1,7,8] => 0
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [2,3,4,5,6,1,7,8] => 1
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,3,4,5,6,8,1,7] => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [7,6,5,4,3,2,1,8] => 0
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [6,7,5,4,3,2,1,8] => 1
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [5,7,6,4,3,2,1,8] => 1
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [6,5,7,4,3,2,1,8] => 1
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [5,6,7,4,3,2,1,8] => 1
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [4,7,6,5,3,2,1,8] => 1
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [6,5,4,7,3,2,1,8] => 1
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [3,2,7,6,5,4,1,8] => 1
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [5,4,3,2,7,6,1,8] => 1
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [3,2,5,4,7,6,1,8] => 1
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,7,1,8] => 1
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [8,7,6,5,4,3,2,1] => 0
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [7,6,8,5,4,3,2,1] => 1
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [6,5,8,7,4,3,2,1] => 1
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [7,6,5,4,8,3,2,1] => 1
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [6,5,7,4,8,3,2,1] => 2
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [4,3,6,5,8,7,2,1] => 1
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [3,2,6,5,4,8,7,1] => 1
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [7,6,5,4,3,2,8,1] => 1
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [6,5,7,4,3,2,8,1] => 2
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [6,5,4,3,7,2,8,1] => 2
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [5,4,6,3,7,2,8,1] => 3
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [4,3,5,2,7,6,8,1] => 2
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [3,2,5,4,7,6,8,1] => 1
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [3,4,5,2,6,7,8,1] => 2
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [4,3,2,5,6,7,8,1] => 1
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,4,2,5,6,7,8,1] => 2
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => 1
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => 1
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => 0
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [9,1,2,3,4,5,6,7,8] => 1
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [8,9,1,2,3,4,5,6,7] => 1
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [7,8,9,1,2,3,4,5,6] => 1
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [6,7,8,9,1,2,3,4,5] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [2,3,4,5,6,7,8,9,1] => 1
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => 0
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [10,1,2,3,4,5,6,7,8,9] => 1
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [8,1,2,3,4,5,6,7,9] => 1
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [9,10,1,2,3,4,5,6,7,8] => 1
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [8,9,10,1,2,3,4,5,6,7] => 1
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [7,8,9,10,1,2,3,4,5,6] => 1
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [6,7,8,9,10,1,2,3,4,5] => 1
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [2,3,4,5,6,7,8,9,10,1] => 1
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [9,8,1,2,3,4,5,6,7] => 1
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [9,8,7,1,2,3,4,5,6] => 1
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [9,8,7,6,1,2,3,4,5] => 1
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [9,8,7,6,5,1,2,3,4] => 1
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [9,8,7,6,5,4,1,2,3] => 1
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,8,7,6,5,4,3,1,2] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [9,8,7,6,5,4,3,2,1] => 0
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [10,9,1,2,3,4,5,6,7,8] => 1
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [10,9,8,1,2,3,4,5,6,7] => 1
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [10,9,8,7,1,2,3,4,5,6] => 1
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [10,9,8,7,6,1,2,3,4,5] => 1
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [10,9,8,7,6,5,1,2,3,4] => 1
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [10,9,8,7,6,5,4,1,2,3] => 1
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,9,8,7,6,5,4,3,1,2] => 1
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [10,9,8,7,6,5,4,3,2,1] => 0
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [2,4,6,8,10,1,3,5,7,9] => 1
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,3,4,5,6,7,8,1,9] => 1
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,3,4,5,6,7,8,9,1,10] => 1
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,3,4,5,6,7,9,1,8] => 1
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [2,3,4,5,6,7,1,8,9] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [2,1,3,4,5,6,7,8,9] => 0
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2] => [2,9,1,3,4,5,6,7,8] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [2,1,3,4,5,6,7,8,9,10] => 0
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,9,10,8,7,6,5,4,3,2] => [2,10,1,3,4,5,6,7,8,9] => 1
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [2,1,3,4,5,6,7,8,9,10,11] => 0
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [3,2,1,4,5,6,7,8,9] => 0
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [4,3,2,1,5,6,7,8,9] => 0
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [5,4,3,2,1,6,7,8,9] => 0
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [6,5,4,3,2,1,7,8,9] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [7,6,5,4,3,2,1,8,9] => 0
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [8,7,6,5,4,3,2,1,9] => 0
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [3,2,1,4,5,6,7,8,9,10] => 0
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [4,3,2,1,5,6,7,8,9,10] => 0
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [5,4,3,2,1,6,7,8,9,10] => 0
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [6,5,4,3,2,1,7,8,9,10] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [7,6,5,4,3,2,1,8,9,10] => 0
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [6,7,5,4,3,2,1,9,8] => [7,8,6,5,4,3,2,1,9] => 1
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [8,7,6,5,4,3,2,1,9,10] => 0
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [9,8,7,6,5,4,3,2,1,10] => 0
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [3,2,4,5,6,7,8,9,1] => 1
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [3,2,4,5,6,7,8,9,10,1] => 1
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,4,2,5,6,7,8,9,1] => 2
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [2,3,4,5,6,7,8,9,10,11,1] => 1
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [11,1,2,3,4,5,6,7,8,9,10] => 1
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [3,4,1,2,5,6,7,8,9] => 1
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Description
The number of big descents of a permutation.
For a permutation $\pi$, this is the number of indices $i$ such that $\pi(i)-\pi(i+1) > 1$.
The generating functions of big descents is equal to the generating function of (normal) descents after sending a permutation from cycle to one-line notation Mp00090cycle-as-one-line notation, see [Theorem 2.5, 1].
For the number of small descents, see St000214The number of adjacencies of a permutation..
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.
Map
Lehmer code rotation
Description
Sends a permutation $\pi$ to the unique permutation $\tau$ (of the same length) such that every entry in the Lehmer code of $\tau$ is cyclically one larger than the Lehmer code of $\pi$.