Processing math: 100%

Identifier
Values
[.,.] => [1] => [1] => [1] => 0
[.,[.,.]] => [2,1] => [1,2] => [1,2] => 0
[[.,.],.] => [1,2] => [2,1] => [2,1] => 0
[.,[.,[.,.]]] => [3,2,1] => [1,3,2] => [1,3,2] => 0
[.,[[.,.],.]] => [2,3,1] => [1,2,3] => [1,2,3] => 0
[[.,.],[.,.]] => [1,3,2] => [2,1,3] => [2,1,3] => 0
[[.,[.,.]],.] => [2,1,3] => [3,2,1] => [3,2,1] => 0
[[[.,.],.],.] => [1,2,3] => [2,3,1] => [1,3,2] => 0
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,4,3,2] => [1,4,3,2] => 0
[.,[.,[[.,.],.]]] => [3,4,2,1] => [1,4,2,3] => [1,4,2,3] => 1
[.,[[.,.],[.,.]]] => [2,4,3,1] => [1,2,4,3] => [1,2,4,3] => 0
[.,[[.,[.,.]],.]] => [3,2,4,1] => [1,3,2,4] => [1,3,2,4] => 0
[.,[[[.,.],.],.]] => [2,3,4,1] => [1,2,3,4] => [1,2,3,4] => 0
[[.,.],[.,[.,.]]] => [1,4,3,2] => [2,1,4,3] => [2,1,4,3] => 0
[[.,.],[[.,.],.]] => [1,3,4,2] => [2,1,3,4] => [2,1,3,4] => 0
[[.,[.,.]],[.,.]] => [2,1,4,3] => [3,2,1,4] => [3,2,1,4] => 0
[[[.,.],.],[.,.]] => [1,2,4,3] => [2,3,1,4] => [1,3,2,4] => 0
[[.,[.,[.,.]]],.] => [3,2,1,4] => [4,3,2,1] => [4,3,2,1] => 0
[[.,[[.,.],.]],.] => [2,3,1,4] => [4,2,3,1] => [4,1,3,2] => 1
[[[.,.],[.,.]],.] => [1,3,2,4] => [2,4,3,1] => [1,4,3,2] => 0
[[[.,[.,.]],.],.] => [2,1,3,4] => [3,2,4,1] => [2,1,4,3] => 0
[[[[.,.],.],.],.] => [1,2,3,4] => [2,3,4,1] => [1,2,4,3] => 0
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [1,5,4,2,3] => [1,5,4,2,3] => 1
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [1,5,2,4,3] => [1,5,2,4,3] => 1
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [1,5,3,2,4] => [1,5,3,2,4] => 1
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [1,5,2,3,4] => [1,5,2,3,4] => 1
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [1,2,5,3,4] => [1,2,5,3,4] => 1
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [1,4,2,3,5] => [1,4,2,3,5] => 1
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [2,1,5,4,3] => [2,1,5,4,3] => 0
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [2,1,5,3,4] => [2,1,5,3,4] => 1
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [2,1,3,5,4] => [2,1,3,5,4] => 0
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [2,1,4,3,5] => [2,1,4,3,5] => 0
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [2,1,3,4,5] => [2,1,3,4,5] => 0
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [3,2,1,5,4] => [3,2,1,5,4] => 0
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [3,2,1,4,5] => [3,2,1,4,5] => 0
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [2,3,1,5,4] => [1,3,2,5,4] => 0
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [2,3,1,4,5] => [1,3,2,4,5] => 0
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [4,3,2,1,5] => [4,3,2,1,5] => 0
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [4,2,3,1,5] => [4,1,3,2,5] => 1
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [2,4,3,1,5] => [1,4,3,2,5] => 0
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [3,2,4,1,5] => [2,1,4,3,5] => 0
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [2,3,4,1,5] => [1,2,4,3,5] => 0
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [5,4,3,2,1] => [5,4,3,2,1] => 0
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [5,4,2,3,1] => [5,4,1,3,2] => 1
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [5,2,4,3,1] => [5,1,4,3,2] => 1
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [5,3,2,4,1] => [5,2,1,4,3] => 1
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [5,2,3,4,1] => [5,1,2,4,3] => 1
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [2,5,4,3,1] => [1,5,4,3,2] => 0
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [2,5,3,4,1] => [1,5,2,4,3] => 1
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [3,2,5,4,1] => [2,1,5,4,3] => 0
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [2,3,5,4,1] => [1,2,5,4,3] => 0
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [4,3,2,5,1] => [3,2,1,5,4] => 0
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [4,2,3,5,1] => [3,1,2,5,4] => 1
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [2,4,3,5,1] => [1,3,2,5,4] => 0
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [3,2,4,5,1] => [2,1,3,5,4] => 0
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [2,3,4,5,1] => [1,2,3,5,4] => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,6,5,4,3,2] => [1,6,5,4,3,2] => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [1,6,5,4,2,3] => [1,6,5,4,2,3] => 1
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [1,6,5,2,4,3] => [1,6,5,2,4,3] => 1
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [1,6,5,3,2,4] => [1,6,5,3,2,4] => 1
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [1,6,5,2,3,4] => [1,6,5,2,3,4] => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [1,6,2,5,4,3] => [1,6,2,5,4,3] => 1
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [1,6,2,5,3,4] => [1,6,2,5,3,4] => 2
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [1,6,3,2,5,4] => [1,6,3,2,5,4] => 1
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [1,6,2,3,5,4] => [1,6,2,3,5,4] => 1
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [1,6,4,3,2,5] => [1,6,4,3,2,5] => 1
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [1,6,4,2,3,5] => [1,6,4,2,3,5] => 2
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [1,6,2,4,3,5] => [1,6,2,4,3,5] => 1
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [1,6,3,2,4,5] => [1,6,3,2,4,5] => 1
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [1,6,2,3,4,5] => [1,6,2,3,4,5] => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [1,2,6,5,4,3] => [1,2,6,5,4,3] => 0
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [1,2,6,5,3,4] => [1,2,6,5,3,4] => 1
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [1,2,6,3,5,4] => [1,2,6,3,5,4] => 1
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [1,2,6,4,3,5] => [1,2,6,4,3,5] => 1
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => 1
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [1,3,2,6,5,4] => [1,3,2,6,5,4] => 0
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [1,3,2,6,4,5] => [1,3,2,6,4,5] => 1
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [1,2,3,6,5,4] => [1,2,3,6,5,4] => 0
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [1,2,3,6,4,5] => [1,2,3,6,4,5] => 1
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [1,4,3,2,6,5] => [1,4,3,2,6,5] => 0
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [1,4,2,3,6,5] => [1,4,2,3,6,5] => 1
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => 0
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => 0
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => 0
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [1,5,4,3,2,6] => [1,5,4,3,2,6] => 0
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [1,5,4,2,3,6] => [1,5,4,2,3,6] => 1
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [1,5,2,4,3,6] => [1,5,2,4,3,6] => 1
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [1,5,3,2,4,6] => [1,5,3,2,4,6] => 1
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [1,5,2,3,4,6] => [1,5,2,3,4,6] => 1
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [1,2,5,4,3,6] => [1,2,5,4,3,6] => 0
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [1,2,5,3,4,6] => [1,2,5,3,4,6] => 1
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => 0
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => 0
>>> Load all 375 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [1,4,3,2,5,6] => [1,4,3,2,5,6] => 0
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => 1
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => 0
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => 0
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [2,1,6,5,4,3] => [2,1,6,5,4,3] => 0
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [2,1,6,5,3,4] => [2,1,6,5,3,4] => 1
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [2,1,6,3,5,4] => [2,1,6,3,5,4] => 1
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [2,1,6,4,3,5] => [2,1,6,4,3,5] => 1
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [2,1,6,3,4,5] => [2,1,6,3,4,5] => 1
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [2,1,3,6,5,4] => [2,1,3,6,5,4] => 0
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [2,1,3,6,4,5] => [2,1,3,6,4,5] => 1
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => 0
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => 0
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [2,1,5,4,3,6] => [2,1,5,4,3,6] => 0
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [2,1,5,3,4,6] => [2,1,5,3,4,6] => 1
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => 0
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => 0
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => 0
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [3,2,1,6,5,4] => [3,2,1,6,5,4] => 0
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [3,2,1,6,4,5] => [3,2,1,6,4,5] => 1
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [3,2,1,4,6,5] => [3,2,1,4,6,5] => 0
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [3,2,1,5,4,6] => [3,2,1,5,4,6] => 0
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => 0
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [2,3,1,6,5,4] => [1,3,2,6,5,4] => 0
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [2,3,1,6,4,5] => [1,3,2,6,4,5] => 1
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [2,3,1,4,6,5] => [1,3,2,4,6,5] => 0
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [2,3,1,5,4,6] => [1,3,2,5,4,6] => 0
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [2,3,1,4,5,6] => [1,3,2,4,5,6] => 0
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [4,3,2,1,6,5] => [4,3,2,1,6,5] => 0
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => 0
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [4,2,3,1,6,5] => [4,1,3,2,6,5] => 1
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [4,2,3,1,5,6] => [4,1,3,2,5,6] => 1
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [2,4,3,1,6,5] => [1,4,3,2,6,5] => 0
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [2,4,3,1,5,6] => [1,4,3,2,5,6] => 0
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [3,2,4,1,6,5] => [2,1,4,3,6,5] => 0
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [3,2,4,1,5,6] => [2,1,4,3,5,6] => 0
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [2,3,4,1,6,5] => [1,2,4,3,6,5] => 0
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [2,3,4,1,5,6] => [1,2,4,3,5,6] => 0
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => 0
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [5,4,2,3,1,6] => [5,4,1,3,2,6] => 1
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [5,2,4,3,1,6] => [5,1,4,3,2,6] => 1
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [5,3,2,4,1,6] => [5,2,1,4,3,6] => 1
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [5,2,3,4,1,6] => [5,1,2,4,3,6] => 1
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [2,5,4,3,1,6] => [1,5,4,3,2,6] => 0
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [2,5,3,4,1,6] => [1,5,2,4,3,6] => 1
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [3,2,5,4,1,6] => [2,1,5,4,3,6] => 0
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [2,3,5,4,1,6] => [1,2,5,4,3,6] => 0
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [4,3,2,5,1,6] => [3,2,1,5,4,6] => 0
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [4,2,3,5,1,6] => [3,1,2,5,4,6] => 1
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [2,4,3,5,1,6] => [1,3,2,5,4,6] => 0
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [3,2,4,5,1,6] => [2,1,3,5,4,6] => 0
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => [1,2,3,5,4,6] => 0
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 0
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [6,5,4,2,3,1] => [6,5,4,1,3,2] => 1
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [6,5,2,4,3,1] => [6,5,1,4,3,2] => 1
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [6,5,3,2,4,1] => [6,5,2,1,4,3] => 1
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [6,5,2,3,4,1] => [6,5,1,2,4,3] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [6,2,5,4,3,1] => [6,1,5,4,3,2] => 1
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [6,2,5,3,4,1] => [6,1,5,2,4,3] => 2
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [6,3,2,5,4,1] => [6,2,1,5,4,3] => 1
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [6,2,3,5,4,1] => [6,1,2,5,4,3] => 1
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [6,4,3,2,5,1] => [6,3,2,1,5,4] => 1
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [6,4,2,3,5,1] => [6,3,1,2,5,4] => 2
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [6,2,4,3,5,1] => [6,1,3,2,5,4] => 1
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [6,3,2,4,5,1] => [6,2,1,3,5,4] => 1
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [6,2,3,4,5,1] => [6,1,2,3,5,4] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [2,6,5,4,3,1] => [1,6,5,4,3,2] => 0
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [2,6,5,3,4,1] => [1,6,5,2,4,3] => 1
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [2,6,3,5,4,1] => [1,6,2,5,4,3] => 1
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [2,6,4,3,5,1] => [1,6,3,2,5,4] => 1
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [2,6,3,4,5,1] => [1,6,2,3,5,4] => 1
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [3,2,6,5,4,1] => [2,1,6,5,4,3] => 0
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [3,2,6,4,5,1] => [2,1,6,3,5,4] => 1
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [2,3,6,5,4,1] => [1,2,6,5,4,3] => 0
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [2,3,6,4,5,1] => [1,2,6,3,5,4] => 1
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [4,3,2,6,5,1] => [3,2,1,6,5,4] => 0
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [4,2,3,6,5,1] => [3,1,2,6,5,4] => 1
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [2,4,3,6,5,1] => [1,3,2,6,5,4] => 0
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [3,2,4,6,5,1] => [2,1,3,6,5,4] => 0
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [2,3,4,6,5,1] => [1,2,3,6,5,4] => 0
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [5,4,3,2,6,1] => [4,3,2,1,6,5] => 0
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [5,4,2,3,6,1] => [4,3,1,2,6,5] => 1
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [5,2,4,3,6,1] => [4,1,3,2,6,5] => 1
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [5,3,2,4,6,1] => [4,2,1,3,6,5] => 1
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [5,2,3,4,6,1] => [4,1,2,3,6,5] => 1
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [2,5,4,3,6,1] => [1,4,3,2,6,5] => 0
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [2,5,3,4,6,1] => [1,4,2,3,6,5] => 1
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [3,2,5,4,6,1] => [2,1,4,3,6,5] => 0
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [2,3,5,4,6,1] => [1,2,4,3,6,5] => 0
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [4,3,2,5,6,1] => [3,2,1,4,6,5] => 0
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [4,2,3,5,6,1] => [3,1,2,4,6,5] => 1
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [2,4,3,5,6,1] => [1,3,2,4,6,5] => 0
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [3,2,4,5,6,1] => [2,1,3,4,6,5] => 0
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => [1,2,3,4,6,5] => 0
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => 0
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => 1
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => 0
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [1,2,7,6,5,3,4] => [1,2,7,6,5,3,4] => 1
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [1,2,7,6,3,5,4] => [1,2,7,6,3,5,4] => 1
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [1,2,7,6,4,3,5] => [1,2,7,6,4,3,5] => 1
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [1,2,7,6,3,4,5] => [1,2,7,6,3,4,5] => 1
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [1,2,7,3,6,5,4] => [1,2,7,3,6,5,4] => 1
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [1,2,7,3,6,4,5] => [1,2,7,3,6,4,5] => 2
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [1,2,7,4,3,6,5] => [1,2,7,4,3,6,5] => 1
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [1,2,7,3,4,6,5] => [1,2,7,3,4,6,5] => 1
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [1,2,7,5,4,3,6] => [1,2,7,5,4,3,6] => 1
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [1,2,7,5,3,4,6] => [1,2,7,5,3,4,6] => 2
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [1,2,7,3,5,4,6] => [1,2,7,3,5,4,6] => 1
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [1,2,7,4,3,5,6] => [1,2,7,4,3,5,6] => 1
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => 1
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => 0
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [1,3,2,7,6,4,5] => [1,3,2,7,6,4,5] => 1
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [1,3,2,7,4,6,5] => [1,3,2,7,4,6,5] => 1
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [1,3,2,7,5,4,6] => [1,3,2,7,5,4,6] => 1
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => 1
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => 0
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [1,2,3,7,6,4,5] => [1,2,3,7,6,4,5] => 1
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [1,2,3,7,4,6,5] => [1,2,3,7,4,6,5] => 1
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [1,2,3,7,5,4,6] => [1,2,3,7,5,4,6] => 1
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => 1
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => 0
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [1,4,3,2,7,5,6] => [1,4,3,2,7,5,6] => 1
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [1,4,2,3,7,6,5] => [1,4,2,3,7,6,5] => 1
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => 2
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => 0
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => 1
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => 0
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => 1
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => 0
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => 1
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => 1
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => 0
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => 1
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => 0
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => 0
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => 0
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => 1
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => 0
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => 0
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => 0
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => 0
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [1,2,6,5,3,4,7] => [1,2,6,5,3,4,7] => 1
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [1,2,6,3,5,4,7] => [1,2,6,3,5,4,7] => 1
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [1,2,6,4,3,5,7] => [1,2,6,4,3,5,7] => 1
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => 1
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => 0
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => 1
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => 0
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => 1
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => 0
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => 1
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => 0
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => 0
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => 0
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => 0
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => 1
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => 0
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => 0
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => 0
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => 1
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => 0
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => 0
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [2,1,7,6,5,4,3] => [2,1,7,6,5,4,3] => 0
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [2,1,7,3,4,5,6] => [2,1,7,3,4,5,6] => 1
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [2,1,3,7,4,5,6] => [2,1,3,7,4,5,6] => 1
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [2,1,3,4,7,5,6] => [2,1,3,4,7,5,6] => 1
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [2,1,6,3,4,5,7] => [2,1,6,3,4,5,7] => 1
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => 0
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => 0
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [2,3,1,7,6,5,4] => [1,3,2,7,6,5,4] => 0
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [2,3,1,7,6,4,5] => [1,3,2,7,6,4,5] => 1
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [2,3,1,7,4,6,5] => [1,3,2,7,4,6,5] => 1
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [2,3,1,7,5,4,6] => [1,3,2,7,5,4,6] => 1
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [2,3,1,7,4,5,6] => [1,3,2,7,4,5,6] => 1
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [2,3,1,4,7,6,5] => [1,3,2,4,7,6,5] => 0
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [2,3,1,4,7,5,6] => [1,3,2,4,7,5,6] => 1
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [2,3,1,5,4,7,6] => [1,3,2,5,4,7,6] => 0
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [2,3,1,4,5,7,6] => [1,3,2,4,5,7,6] => 0
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [2,3,1,6,5,4,7] => [1,3,2,6,5,4,7] => 0
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [2,3,1,6,4,5,7] => [1,3,2,6,4,5,7] => 1
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [2,3,1,4,6,5,7] => [1,3,2,4,6,5,7] => 0
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [2,3,1,5,4,6,7] => [1,3,2,5,4,6,7] => 0
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,3,1,4,5,6,7] => [1,3,2,4,5,6,7] => 0
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => 0
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [2,4,3,1,7,6,5] => [1,4,3,2,7,6,5] => 0
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [2,4,3,1,7,5,6] => [1,4,3,2,7,5,6] => 1
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [2,4,3,1,5,7,6] => [1,4,3,2,5,7,6] => 0
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [2,4,3,1,6,5,7] => [1,4,3,2,6,5,7] => 0
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,4,3,1,5,6,7] => [1,4,3,2,5,6,7] => 0
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [2,3,4,1,7,6,5] => [1,2,4,3,7,6,5] => 0
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [2,3,4,1,7,5,6] => [1,2,4,3,7,5,6] => 1
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [2,3,4,1,5,7,6] => [1,2,4,3,5,7,6] => 0
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [2,3,4,1,6,5,7] => [1,2,4,3,6,5,7] => 0
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,3,4,1,5,6,7] => [1,2,4,3,5,6,7] => 0
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [5,4,3,2,1,7,6] => [5,4,3,2,1,7,6] => 0
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => 0
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [2,3,5,4,1,7,6] => [1,2,5,4,3,7,6] => 0
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [2,3,5,4,1,6,7] => [1,2,5,4,3,6,7] => 0
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [2,4,3,5,1,7,6] => [1,3,2,5,4,7,6] => 0
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,4,3,5,1,6,7] => [1,3,2,5,4,6,7] => 0
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => [1,2,3,5,4,7,6] => 0
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,3,4,5,1,6,7] => [1,2,3,5,4,6,7] => 0
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => 0
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [2,3,6,5,4,1,7] => [1,2,6,5,4,3,7] => 0
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [2,3,6,4,5,1,7] => [1,2,6,3,5,4,7] => 1
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,4,3,6,5,1,7] => [1,3,2,6,5,4,7] => 0
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [2,3,4,6,5,1,7] => [1,2,3,6,5,4,7] => 0
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [2,5,4,3,6,1,7] => [1,4,3,2,6,5,7] => 0
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,5,3,4,6,1,7] => [1,4,2,3,6,5,7] => 1
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [2,3,5,4,6,1,7] => [1,2,4,3,6,5,7] => 0
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,4,3,5,6,1,7] => [1,3,2,4,6,5,7] => 0
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => [1,2,3,4,6,5,7] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => 0
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [2,7,6,5,4,3,1] => [1,7,6,5,4,3,2] => 0
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [3,2,7,6,5,4,1] => [2,1,7,6,5,4,3] => 0
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [2,3,7,6,5,4,1] => [1,2,7,6,5,4,3] => 0
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [2,3,7,6,4,5,1] => [1,2,7,6,3,5,4] => 1
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [2,3,7,4,6,5,1] => [1,2,7,3,6,5,4] => 1
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [2,3,7,5,4,6,1] => [1,2,7,4,3,6,5] => 1
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,3,7,4,5,6,1] => [1,2,7,3,4,6,5] => 1
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [2,4,3,7,6,5,1] => [1,3,2,7,6,5,4] => 0
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,4,3,7,5,6,1] => [1,3,2,7,4,6,5] => 1
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => [1,2,3,7,6,5,4] => 0
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => [1,2,3,7,4,6,5] => 1
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [2,5,4,3,7,6,1] => [1,4,3,2,7,6,5] => 0
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,5,3,4,7,6,1] => [1,4,2,3,7,6,5] => 1
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => [1,2,4,3,7,6,5] => 0
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => [1,3,2,4,7,6,5] => 0
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => [1,2,3,4,7,6,5] => 0
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [6,5,4,3,2,7,1] => [5,4,3,2,1,7,6] => 0
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [6,2,3,4,5,7,1] => [5,1,2,3,4,7,6] => 1
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [2,6,3,4,5,7,1] => [1,5,2,3,4,7,6] => 1
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => [1,2,5,4,3,7,6] => 0
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => [1,2,5,3,4,7,6] => 1
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => [1,3,2,5,4,7,6] => 0
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => [1,2,3,5,4,7,6] => 0
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [5,2,3,4,6,7,1] => [4,1,2,3,5,7,6] => 1
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => [1,4,3,2,5,7,6] => 0
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => [1,4,2,3,5,7,6] => 1
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => [1,2,4,3,5,7,6] => 0
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [4,2,3,5,6,7,1] => [3,1,2,4,5,7,6] => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => [1,3,2,4,5,7,6] => 0
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => [1,2,3,4,5,7,6] => 0
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [1,8,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => 0
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [1,4,3,2,7,6,5,8] => [1,4,3,2,7,6,5,8] => 0
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => 2
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => 0
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => 0
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => 0
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [2,1,8,7,6,5,4,3] => [2,1,8,7,6,5,4,3] => 0
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [2,1,8,7,4,3,6,5] => [2,1,8,7,4,3,6,5] => 1
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [2,1,8,3,4,5,6,7] => [2,1,8,3,4,5,6,7] => 1
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [2,1,4,3,8,7,6,5] => [2,1,4,3,8,7,6,5] => 0
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [2,1,4,3,8,5,6,7] => [2,1,4,3,8,5,6,7] => 1
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [2,1,6,5,4,3,8,7] => [2,1,6,5,4,3,8,7] => 0
[[.,.],[[.,[[[.,.],.],.]],[.,.]]] => [1,4,5,6,3,8,7,2] => [2,1,6,3,4,5,8,7] => [2,1,6,3,4,5,8,7] => 1
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => 0
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => 0
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [3,2,1,8,7,6,5,4] => [3,2,1,8,7,6,5,4] => 0
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [3,2,1,4,5,8,7,6] => [3,2,1,4,5,8,7,6] => 0
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [4,3,2,1,8,7,6,5] => [4,3,2,1,8,7,6,5] => 0
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [4,3,2,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => 0
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => 0
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [3,2,4,1,8,7,6,5] => [2,1,4,3,8,7,6,5] => 0
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [3,2,4,1,6,5,8,7] => [2,1,4,3,6,5,8,7] => 0
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [5,4,3,2,1,8,7,6] => [5,4,3,2,1,8,7,6] => 0
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [6,5,4,3,2,1,8,7] => [6,5,4,3,2,1,8,7] => 0
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [3,2,5,4,6,1,8,7] => [2,1,4,3,6,5,8,7] => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => 0
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => 0
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [3,2,5,4,7,6,8,1] => [2,1,4,3,6,5,8,7] => 0
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,8,7] => 0
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Description
The number of big descents of a permutation.
For a permutation π, this is the number of indices i such that π(i)−π(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
Inverse fireworks map
Description
Sends a permutation to an inverse fireworks permutation.
A permutation σ is inverse fireworks if its inverse avoids the vincular pattern 3−12. The inverse fireworks map sends any permutation σ to an inverse fireworks permutation that is below σ in left weak order and has the same Rajchgot index St001759The Rajchgot index 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
Kreweras complement
Description
Sends the permutation π∈Sn to the permutation π−1c where c=(1,…,n) is the long cycle.