Identifier
Values
[.,.] => [1] => [1] => {{1}} => 0
[.,[.,.]] => [2,1] => [2,1] => {{1,2}} => 0
[[.,.],.] => [1,2] => [1,2] => {{1},{2}} => 0
[.,[.,[.,.]]] => [3,2,1] => [1,2,3] => {{1},{2},{3}} => 0
[.,[[.,.],.]] => [2,3,1] => [1,3,2] => {{1},{2,3}} => 0
[[.,.],[.,.]] => [1,3,2] => [2,3,1] => {{1,2,3}} => 0
[[.,[.,.]],.] => [2,1,3] => [3,1,2] => {{1,2,3}} => 0
[[[.,.],.],.] => [1,2,3] => [3,2,1] => {{1,3},{2}} => 0
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [1,3,2,4] => {{1},{2,3},{4}} => 0
[.,[.,[[.,.],.]]] => [3,4,2,1] => [2,1,3,4] => {{1,2},{3},{4}} => 0
[.,[[.,.],[.,.]]] => [2,4,3,1] => [1,4,3,2] => {{1},{2,4},{3}} => 0
[.,[[.,[.,.]],.]] => [3,2,4,1] => [2,1,4,3] => {{1,2},{3,4}} => 0
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,2,1,3] => {{1,3,4},{2}} => 0
[[.,.],[.,[.,.]]] => [1,4,3,2] => [3,1,2,4] => {{1,2,3},{4}} => 0
[[.,.],[[.,.],.]] => [1,3,4,2] => [2,3,4,1] => {{1,2,3,4}} => 0
[[.,[.,.]],[.,.]] => [2,1,4,3] => [4,1,3,2] => {{1,2,4},{3}} => 0
[[[.,.],.],[.,.]] => [1,2,4,3] => [4,3,1,2] => {{1,2,3,4}} => 0
[[.,[.,[.,.]]],.] => [3,2,1,4] => [1,2,4,3] => {{1},{2},{3,4}} => 0
[[.,[[.,.],.]],.] => [2,3,1,4] => [1,4,2,3] => {{1},{2,3,4}} => 0
[[[.,.],[.,.]],.] => [1,3,2,4] => [2,4,1,3] => {{1,2,3,4}} => 0
[[[.,[.,.]],.],.] => [2,1,3,4] => [4,1,2,3] => {{1,2,3,4}} => 0
[[[[.,.],.],.],.] => [1,2,3,4] => [4,2,3,1] => {{1,4},{2},{3}} => 0
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [1,4,3,2,5] => {{1},{2,4},{3},{5}} => 0
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [3,1,4,2,5] => {{1,2,3,4},{5}} => 0
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [2,1,4,3,5] => {{1,2},{3,4},{5}} => 0
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [3,2,1,4,5] => {{1,3},{2},{4},{5}} => 0
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [2,3,1,4,5] => {{1,2,3},{4},{5}} => 0
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => 0
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [5,3,1,4,2] => {{1,2,3,5},{4}} => 0
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [2,1,5,4,3] => {{1,2},{3,5},{4}} => 0
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [5,2,1,4,3] => {{1,3,5},{2},{4}} => 0
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [3,2,1,5,4] => {{1,3},{2},{4,5}} => 0
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [2,3,1,5,4] => {{1,2,3},{4,5}} => 0
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [5,3,2,1,4] => {{1,4,5},{2,3}} => 0
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [2,5,3,1,4] => {{1,2,4,5},{3}} => 0
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,2,3,1,4] => {{1,4,5},{2},{3}} => 0
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [4,1,3,2,5] => {{1,2,4},{3},{5}} => 0
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [3,4,1,2,5] => {{1,3},{2,4},{5}} => 1
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [2,4,1,3,5] => {{1,2,3,4},{5}} => 0
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [3,1,2,4,5] => {{1,2,3},{4},{5}} => 0
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [5,1,4,3,2] => {{1,2,5},{3,4}} => 0
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [5,1,3,4,2] => {{1,2,5},{3},{4}} => 0
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [5,4,1,3,2] => {{1,2,3,4,5}} => 0
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [5,3,4,1,2] => {{1,2,3,4,5}} => 0
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [1,2,5,4,3] => {{1},{2},{3,5},{4}} => 0
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [1,5,2,4,3] => {{1},{2,3,5},{4}} => 0
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [2,5,1,4,3] => {{1,2,3,5},{4}} => 0
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [5,1,2,4,3] => {{1,2,3,5},{4}} => 0
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [5,2,4,1,3] => {{1,3,4,5},{2}} => 0
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [1,3,2,5,4] => {{1},{2,3},{4,5}} => 0
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [2,1,3,5,4] => {{1,2},{3},{4,5}} => 0
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [1,5,3,2,4] => {{1},{2,4,5},{3}} => 0
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [2,1,5,3,4] => {{1,2},{3,4,5}} => 0
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [5,2,1,3,4] => {{1,3,4,5},{2}} => 0
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [3,1,2,5,4] => {{1,2,3},{4,5}} => 0
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [2,3,5,1,4] => {{1,2,3,4,5}} => 0
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [5,1,3,2,4] => {{1,2,4,5},{3}} => 0
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [5,3,1,2,4] => {{1,2,3,4,5}} => 0
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => 0
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [1,5,2,3,4] => {{1},{2,3,4,5}} => 0
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [2,5,1,3,4] => {{1,2,3,4,5}} => 0
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [5,1,2,3,4] => {{1,2,3,4,5}} => 0
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [5,2,3,4,1] => {{1,5},{2},{3},{4}} => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [1,5,4,3,2,6] => {{1},{2,5},{3,4},{6}} => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [4,1,5,3,2,6] => {{1,2,3,4,5},{6}} => 0
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [3,1,5,4,2,6] => {{1,2,3,5},{4},{6}} => 0
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [4,3,1,5,2,6] => {{1,2,3,4,5},{6}} => 0
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [2,1,5,4,3,6] => {{1,2},{3,5},{4},{6}} => 0
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [2,4,1,5,3,6] => {{1,2,3,4,5},{6}} => 0
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [3,2,1,5,4,6] => {{1,3},{2},{4,5},{6}} => 0
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [2,3,1,5,4,6] => {{1,2,3},{4,5},{6}} => 0
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [4,3,2,1,5,6] => {{1,4},{2,3},{5},{6}} => 0
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [3,4,2,1,5,6] => {{1,2,3,4},{5},{6}} => 0
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [2,4,3,1,5,6] => {{1,2,4},{3},{5},{6}} => 0
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [3,2,4,1,5,6] => {{1,3,4},{2},{5},{6}} => 0
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}} => 0
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => 0
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [6,4,1,5,3,2] => {{1,2,3,4,5,6}} => 0
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [6,3,1,5,4,2] => {{1,2,3,6},{4,5}} => 0
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [6,4,3,1,5,2] => {{1,2,4,6},{3},{5}} => 0
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [6,3,4,1,5,2] => {{1,2,3,4,6},{5}} => 0
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => 0
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [2,6,4,1,5,3] => {{1,2,3,4,6},{5}} => 0
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [6,2,1,5,4,3] => {{1,3,6},{2},{4,5}} => 0
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [6,2,4,1,5,3] => {{1,3,4,6},{2},{5}} => 0
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [3,2,1,6,5,4] => {{1,3},{2},{4,6},{5}} => 0
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [2,3,1,6,5,4] => {{1,2,3},{4,6},{5}} => 0
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [6,3,2,1,5,4] => {{1,4,6},{2,3},{5}} => 0
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [2,6,3,1,5,4] => {{1,2,4,6},{3},{5}} => 0
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [6,2,3,1,5,4] => {{1,4,6},{2},{3},{5}} => 0
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [4,3,2,1,6,5] => {{1,4},{2,3},{5,6}} => 0
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [3,4,2,1,6,5] => {{1,2,3,4},{5,6}} => 0
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [2,4,3,1,6,5] => {{1,2,4},{3},{5,6}} => 0
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [3,2,4,1,6,5] => {{1,3,4},{2},{5,6}} => 0
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [2,3,4,1,6,5] => {{1,2,3,4},{5,6}} => 0
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [6,4,3,2,1,5] => {{1,5,6},{2,4},{3}} => 0
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [6,3,4,2,1,5] => {{1,5,6},{2,3,4}} => 0
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [2,6,4,3,1,5] => {{1,2,5,6},{3,4}} => 0
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [6,2,4,3,1,5] => {{1,5,6},{2},{3,4}} => 0
>>> Load all 660 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [3,2,6,4,1,5] => {{1,3,5,6},{2},{4}} => 0
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [2,3,6,4,1,5] => {{1,2,3,5,6},{4}} => 0
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [6,3,2,4,1,5] => {{1,5,6},{2,3},{4}} => 0
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [2,6,3,4,1,5] => {{1,2,5,6},{3},{4}} => 0
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,2,3,4,1,5] => {{1,5,6},{2},{3},{4}} => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [5,1,4,3,2,6] => {{1,2,5},{3,4},{6}} => 0
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [4,5,1,3,2,6] => {{1,3,4},{2,5},{6}} => 1
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [3,5,1,4,2,6] => {{1,3},{2,5},{4},{6}} => 1
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [4,1,3,5,2,6] => {{1,2,4,5},{3},{6}} => 0
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 0
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [2,5,1,4,3,6] => {{1,2,3,5},{4},{6}} => 0
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => 1
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [3,1,2,5,4,6] => {{1,2,3},{4,5},{6}} => 0
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [2,3,5,1,4,6] => {{1,2,3,4,5},{6}} => 0
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [4,1,3,2,5,6] => {{1,2,4},{3},{5},{6}} => 0
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 1
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [2,4,1,3,5,6] => {{1,2,3,4},{5},{6}} => 0
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [3,1,2,4,5,6] => {{1,2,3},{4},{5},{6}} => 0
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [6,1,5,4,3,2] => {{1,2,6},{3,5},{4}} => 0
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [6,1,4,5,3,2] => {{1,2,6},{3,4,5}} => 0
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [6,1,3,5,4,2] => {{1,2,6},{3},{4,5}} => 0
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [6,1,4,3,5,2] => {{1,2,6},{3,4},{5}} => 0
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [6,1,3,4,5,2] => {{1,2,6},{3},{4},{5}} => 0
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [6,5,1,4,3,2] => {{1,2,3,5,6},{4}} => 0
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [6,4,5,1,3,2] => {{1,2,4,6},{3,5}} => 2
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [6,3,5,1,4,2] => {{1,2,3,4,5,6}} => 0
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [6,4,1,3,5,2] => {{1,2,3,4,6},{5}} => 0
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [6,3,4,5,1,2] => {{1,2,3,4,5,6}} => 0
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [1,2,6,5,4,3] => {{1},{2},{3,6},{4,5}} => 0
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [1,2,6,4,5,3] => {{1},{2},{3,6},{4},{5}} => 0
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [1,6,2,5,4,3] => {{1},{2,3,6},{4,5}} => 0
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [1,6,2,4,5,3] => {{1},{2,3,6},{4},{5}} => 0
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [2,6,1,5,4,3] => {{1,2,3,6},{4,5}} => 0
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [2,6,1,4,5,3] => {{1,2,3,6},{4},{5}} => 0
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [6,1,2,5,4,3] => {{1,2,3,6},{4,5}} => 0
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [6,1,2,4,5,3] => {{1,2,3,6},{4},{5}} => 0
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [6,2,5,1,4,3] => {{1,3,4,5,6},{2}} => 0
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [6,2,4,5,1,3] => {{1,3,4,5,6},{2}} => 0
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [1,3,2,6,5,4] => {{1},{2,3},{4,6},{5}} => 0
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [2,1,3,6,5,4] => {{1,2},{3},{4,6},{5}} => 0
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [1,6,3,2,5,4] => {{1},{2,4,6},{3},{5}} => 0
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [2,1,6,3,5,4] => {{1,2},{3,4,6},{5}} => 0
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [6,2,1,3,5,4] => {{1,3,4,6},{2},{5}} => 0
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [3,1,2,6,5,4] => {{1,2,3},{4,6},{5}} => 0
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [2,3,6,1,5,4] => {{1,2,3,4,6},{5}} => 0
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [6,1,3,2,5,4] => {{1,2,4,6},{3},{5}} => 0
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [6,3,1,2,5,4] => {{1,2,3,4,6},{5}} => 0
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => 0
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => 0
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [2,6,1,3,5,4] => {{1,2,3,4,6},{5}} => 0
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [6,1,2,3,5,4] => {{1,2,3,4,6},{5}} => 0
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [6,2,3,5,1,4] => {{1,4,5,6},{2},{3}} => 0
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [1,4,3,2,6,5] => {{1},{2,4},{3},{5,6}} => 0
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [3,1,4,2,6,5] => {{1,2,3,4},{5,6}} => 0
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [2,1,4,3,6,5] => {{1,2},{3,4},{5,6}} => 0
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [3,2,1,4,6,5] => {{1,3},{2},{4},{5,6}} => 0
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [2,3,1,4,6,5] => {{1,2,3},{4},{5,6}} => 0
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [1,6,4,3,2,5] => {{1},{2,5,6},{3,4}} => 0
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [6,3,1,4,2,5] => {{1,2,3,5,6},{4}} => 0
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [2,1,6,4,3,5] => {{1,2},{3,5,6},{4}} => 0
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [6,2,1,4,3,5] => {{1,3,5,6},{2},{4}} => 0
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [3,2,1,6,4,5] => {{1,3},{2},{4,5,6}} => 0
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [2,3,1,6,4,5] => {{1,2,3},{4,5,6}} => 0
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [6,3,2,1,4,5] => {{1,4,5,6},{2,3}} => 0
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [2,6,3,1,4,5] => {{1,2,4,5,6},{3}} => 0
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [6,2,3,1,4,5] => {{1,4,5,6},{2},{3}} => 0
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [4,1,3,2,6,5] => {{1,2,4},{3},{5,6}} => 0
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [3,4,1,2,6,5] => {{1,3},{2,4},{5,6}} => 1
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [2,4,1,3,6,5] => {{1,2,3,4},{5,6}} => 0
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [3,1,2,4,6,5] => {{1,2,3},{4},{5,6}} => 0
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [2,3,4,6,1,5] => {{1,2,3,4,5,6}} => 0
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [6,1,4,3,2,5] => {{1,2,5,6},{3,4}} => 0
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [6,1,3,4,2,5] => {{1,2,5,6},{3},{4}} => 0
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [6,4,1,3,2,5] => {{1,2,3,4,5,6}} => 0
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [6,3,4,1,2,5] => {{1,2,3,4,5,6}} => 0
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [1,2,6,4,3,5] => {{1},{2},{3,5,6},{4}} => 0
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => 0
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [2,6,1,4,3,5] => {{1,2,3,5,6},{4}} => 0
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [6,1,2,4,3,5] => {{1,2,3,5,6},{4}} => 0
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [6,2,4,1,3,5] => {{1,3,4,5,6},{2}} => 0
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => 0
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [2,1,3,6,4,5] => {{1,2},{3},{4,5,6}} => 0
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [1,6,3,2,4,5] => {{1},{2,4,5,6},{3}} => 0
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [2,1,6,3,4,5] => {{1,2},{3,4,5,6}} => 0
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [6,2,1,3,4,5] => {{1,3,4,5,6},{2}} => 0
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [3,1,2,6,4,5] => {{1,2,3},{4,5,6}} => 0
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [2,3,6,1,4,5] => {{1,2,3,4,5,6}} => 0
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [6,1,3,2,4,5] => {{1,2,4,5,6},{3}} => 0
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [6,3,1,2,4,5] => {{1,2,3,4,5,6}} => 0
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => 0
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => 0
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => {{1,2,3,4,5,6}} => 0
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [6,1,2,3,4,5] => {{1,2,3,4,5,6}} => 0
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [6,2,3,4,5,1] => {{1,6},{2},{3},{4},{5}} => 0
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [1,6,5,4,3,2,7] => {{1},{2,6},{3,5},{4},{7}} => 0
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [5,1,6,4,3,2,7] => {{1,2,3,5,6},{4},{7}} => 0
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [4,1,6,5,3,2,7] => {{1,2,3,4,5,6},{7}} => 0
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [5,4,1,6,3,2,7] => {{1,3,5},{2,4,6},{7}} => 3
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [4,5,1,6,3,2,7] => {{1,2,3,4,5,6},{7}} => 0
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [3,1,6,5,4,2,7] => {{1,2,3,6},{4,5},{7}} => 0
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [3,5,1,6,4,2,7] => {{1,3},{2,4,5,6},{7}} => 1
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [4,3,1,6,5,2,7] => {{1,2,3,4,6},{5},{7}} => 0
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [3,4,1,6,5,2,7] => {{1,3},{2,4,6},{5},{7}} => 1
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [5,4,3,1,6,2,7] => {{1,2,4,5,6},{3},{7}} => 0
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [4,5,3,1,6,2,7] => {{1,4},{2,5,6},{3},{7}} => 1
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [3,5,4,1,6,2,7] => {{1,3,4},{2,5,6},{7}} => 1
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [4,3,5,1,6,2,7] => {{1,4},{2,3,5,6},{7}} => 1
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 0
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [2,1,6,5,4,3,7] => {{1,2},{3,6},{4,5},{7}} => 0
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [2,5,1,6,4,3,7] => {{1,2,3,4,5,6},{7}} => 0
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [2,4,1,6,5,3,7] => {{1,2,3,4,6},{5},{7}} => 0
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [2,5,4,1,6,3,7] => {{1,2,3,4,5,6},{7}} => 0
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => 1
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [3,2,1,6,5,4,7] => {{1,3},{2},{4,6},{5},{7}} => 0
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [3,2,5,1,6,4,7] => {{1,3,4,5,6},{2},{7}} => 0
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [2,3,1,6,5,4,7] => {{1,2,3},{4,6},{5},{7}} => 0
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [2,3,5,1,6,4,7] => {{1,2,3,4,5,6},{7}} => 0
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [4,3,2,1,6,5,7] => {{1,4},{2,3},{5,6},{7}} => 0
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [3,4,2,1,6,5,7] => {{1,2,3,4},{5,6},{7}} => 0
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [2,4,3,1,6,5,7] => {{1,2,4},{3},{5,6},{7}} => 0
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [3,2,4,1,6,5,7] => {{1,3,4},{2},{5,6},{7}} => 0
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [2,3,4,1,6,5,7] => {{1,2,3,4},{5,6},{7}} => 0
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [5,4,3,2,1,6,7] => {{1,5},{2,4},{3},{6},{7}} => 0
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [4,5,3,2,1,6,7] => {{1,2,4,5},{3},{6},{7}} => 0
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [3,5,4,2,1,6,7] => {{1,2,3,4,5},{6},{7}} => 0
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [4,3,5,2,1,6,7] => {{1,2,3,4,5},{6},{7}} => 0
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [3,4,5,2,1,6,7] => {{1,3,5},{2,4},{6},{7}} => 2
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [2,5,4,3,1,6,7] => {{1,2,5},{3,4},{6},{7}} => 0
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [2,4,5,3,1,6,7] => {{1,2,3,4,5},{6},{7}} => 0
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [3,2,5,4,1,6,7] => {{1,3,5},{2},{4},{6},{7}} => 0
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [2,3,5,4,1,6,7] => {{1,2,3,5},{4},{6},{7}} => 0
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [4,3,2,5,1,6,7] => {{1,4,5},{2,3},{6},{7}} => 0
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [3,4,2,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => 0
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [2,4,3,5,1,6,7] => {{1,2,4,5},{3},{6},{7}} => 0
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [3,2,4,5,1,6,7] => {{1,3,4,5},{2},{6},{7}} => 0
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => 0
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [1,7,6,5,4,3,2] => {{1},{2,7},{3,6},{4,5}} => 0
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [7,5,1,6,4,3,2] => {{1,2,3,4,5,6,7}} => 0
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [7,4,1,6,5,3,2] => {{1,2,3,4,6,7},{5}} => 0
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [7,5,4,1,6,3,2] => {{1,2,3,4,5,6,7}} => 0
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [7,4,5,1,6,3,2] => {{1,2,4,7},{3,5,6}} => 2
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [7,3,1,6,5,4,2] => {{1,2,3,7},{4,6},{5}} => 0
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [7,3,5,1,6,4,2] => {{1,2,3,4,5,6,7}} => 0
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [7,4,3,1,6,5,2] => {{1,2,4,7},{3},{5,6}} => 0
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [7,3,4,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [7,5,4,3,1,6,2] => {{1,2,5,7},{3,4},{6}} => 0
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [7,4,5,3,1,6,2] => {{1,2,3,4,5,7},{6}} => 0
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [7,3,5,4,1,6,2] => {{1,2,3,5,7},{4},{6}} => 0
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [7,4,3,5,1,6,2] => {{1,2,4,5,7},{3},{6}} => 0
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [7,3,4,5,1,6,2] => {{1,2,3,4,5,7},{6}} => 0
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [2,1,7,6,5,4,3] => {{1,2},{3,7},{4,6},{5}} => 0
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [2,7,5,1,6,4,3] => {{1,2,3,4,5,6,7}} => 0
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [2,7,4,1,6,5,3] => {{1,2,3,4,7},{5,6}} => 0
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [2,7,5,4,1,6,3] => {{1,2,3,5,7},{4},{6}} => 0
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [2,7,4,5,1,6,3] => {{1,2,3,4,5,7},{6}} => 0
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [7,2,1,6,5,4,3] => {{1,3,7},{2},{4,6},{5}} => 0
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [7,2,5,1,6,4,3] => {{1,3,4,5,6,7},{2}} => 0
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [7,2,4,1,6,5,3] => {{1,3,4,7},{2},{5,6}} => 0
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [7,2,5,4,1,6,3] => {{1,3,5,7},{2},{4},{6}} => 0
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [7,2,4,5,1,6,3] => {{1,3,4,5,7},{2},{6}} => 0
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [3,2,1,7,6,5,4] => {{1,3},{2},{4,7},{5,6}} => 0
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [3,2,7,5,1,6,4] => {{1,3,4,5,7},{2},{6}} => 0
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [2,3,1,7,6,5,4] => {{1,2,3},{4,7},{5,6}} => 0
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [2,3,7,5,1,6,4] => {{1,2,3,4,5,7},{6}} => 0
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [7,3,2,1,6,5,4] => {{1,4,7},{2,3},{5,6}} => 0
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [7,3,2,5,1,6,4] => {{1,4,5,7},{2,3},{6}} => 0
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [2,7,3,1,6,5,4] => {{1,2,4,7},{3},{5,6}} => 0
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [2,7,3,5,1,6,4] => {{1,2,4,5,7},{3},{6}} => 0
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [7,2,3,1,6,5,4] => {{1,4,7},{2},{3},{5,6}} => 0
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [7,2,3,5,1,6,4] => {{1,4,5,7},{2},{3},{6}} => 0
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [4,3,2,1,7,6,5] => {{1,4},{2,3},{5,7},{6}} => 0
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [3,4,2,1,7,6,5] => {{1,2,3,4},{5,7},{6}} => 0
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [2,4,3,1,7,6,5] => {{1,2,4},{3},{5,7},{6}} => 0
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [3,2,4,1,7,6,5] => {{1,3,4},{2},{5,7},{6}} => 0
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [2,3,4,1,7,6,5] => {{1,2,3,4},{5,7},{6}} => 0
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [7,4,3,2,1,6,5] => {{1,5,7},{2,4},{3},{6}} => 0
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [7,3,4,2,1,6,5] => {{1,5,7},{2,3,4},{6}} => 0
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [2,7,4,3,1,6,5] => {{1,2,5,7},{3,4},{6}} => 0
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [7,2,4,3,1,6,5] => {{1,5,7},{2},{3,4},{6}} => 0
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [3,2,7,4,1,6,5] => {{1,3,5,7},{2},{4},{6}} => 0
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [2,3,7,4,1,6,5] => {{1,2,3,5,7},{4},{6}} => 0
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [7,3,2,4,1,6,5] => {{1,5,7},{2,3},{4},{6}} => 0
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [2,7,3,4,1,6,5] => {{1,2,5,7},{3},{4},{6}} => 0
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [7,2,3,4,1,6,5] => {{1,5,7},{2},{3},{4},{6}} => 0
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [5,4,3,2,1,7,6] => {{1,5},{2,4},{3},{6,7}} => 0
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [4,5,3,2,1,7,6] => {{1,2,4,5},{3},{6,7}} => 0
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [3,5,4,2,1,7,6] => {{1,2,3,4,5},{6,7}} => 0
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [4,3,5,2,1,7,6] => {{1,2,3,4,5},{6,7}} => 0
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [3,4,5,2,1,7,6] => {{1,3,5},{2,4},{6,7}} => 2
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [2,5,4,3,1,7,6] => {{1,2,5},{3,4},{6,7}} => 0
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [2,4,5,3,1,7,6] => {{1,2,3,4,5},{6,7}} => 0
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [3,2,5,4,1,7,6] => {{1,3,5},{2},{4},{6,7}} => 0
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [2,3,5,4,1,7,6] => {{1,2,3,5},{4},{6,7}} => 0
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [4,3,2,5,1,7,6] => {{1,4,5},{2,3},{6,7}} => 0
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [3,4,2,5,1,7,6] => {{1,2,3,4,5},{6,7}} => 0
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [2,4,3,5,1,7,6] => {{1,2,4,5},{3},{6,7}} => 0
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [3,2,4,5,1,7,6] => {{1,3,4,5},{2},{6,7}} => 0
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}} => 0
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [7,5,4,3,2,1,6] => {{1,6,7},{2,5},{3,4}} => 0
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [7,4,5,3,2,1,6] => {{1,6,7},{2,3,4,5}} => 0
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [7,3,5,4,2,1,6] => {{1,6,7},{2,3,5},{4}} => 0
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [7,4,3,5,2,1,6] => {{1,6,7},{2,4,5},{3}} => 0
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [7,3,4,5,2,1,6] => {{1,6,7},{2,3,4,5}} => 0
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [2,7,5,4,3,1,6] => {{1,2,6,7},{3,5},{4}} => 0
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [2,7,4,5,3,1,6] => {{1,2,6,7},{3,4,5}} => 0
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [7,2,5,4,3,1,6] => {{1,6,7},{2},{3,5},{4}} => 0
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [7,2,4,5,3,1,6] => {{1,6,7},{2},{3,4,5}} => 0
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [3,2,7,5,4,1,6] => {{1,3,6,7},{2},{4,5}} => 0
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [2,3,7,5,4,1,6] => {{1,2,3,6,7},{4,5}} => 0
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [7,3,2,5,4,1,6] => {{1,6,7},{2,3},{4,5}} => 0
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [2,7,3,5,4,1,6] => {{1,2,6,7},{3},{4,5}} => 0
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [7,2,3,5,4,1,6] => {{1,6,7},{2},{3},{4,5}} => 0
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [4,3,2,7,5,1,6] => {{1,4,6,7},{2,3},{5}} => 0
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [3,4,2,7,5,1,6] => {{1,2,3,4,6,7},{5}} => 0
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [2,4,3,7,5,1,6] => {{1,2,4,6,7},{3},{5}} => 0
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [3,2,4,7,5,1,6] => {{1,3,4,6,7},{2},{5}} => 0
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [2,3,4,7,5,1,6] => {{1,2,3,4,6,7},{5}} => 0
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [7,4,3,2,5,1,6] => {{1,6,7},{2,4},{3},{5}} => 0
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [7,3,4,2,5,1,6] => {{1,6,7},{2,3,4},{5}} => 0
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [2,7,4,3,5,1,6] => {{1,2,6,7},{3,4},{5}} => 0
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [7,2,4,3,5,1,6] => {{1,6,7},{2},{3,4},{5}} => 0
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [3,2,7,4,5,1,6] => {{1,3,6,7},{2},{4},{5}} => 0
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [2,3,7,4,5,1,6] => {{1,2,3,6,7},{4},{5}} => 0
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [7,3,2,4,5,1,6] => {{1,6,7},{2,3},{4},{5}} => 0
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [2,7,3,4,5,1,6] => {{1,2,6,7},{3},{4},{5}} => 0
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,2,3,4,5,1,6] => {{1,6,7},{2},{3},{4},{5}} => 0
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [6,1,5,4,3,2,7] => {{1,2,6},{3,5},{4},{7}} => 0
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [5,6,1,4,3,2,7] => {{1,3,5},{2,6},{4},{7}} => 1
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [4,6,1,5,3,2,7] => {{1,3,4,5},{2,6},{7}} => 1
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [5,1,4,6,3,2,7] => {{1,2,3,4,5,6},{7}} => 0
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,5,6,1,3,2,7] => {{1,4},{2,3,5,6},{7}} => 1
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [3,6,1,5,4,2,7] => {{1,3},{2,6},{4,5},{7}} => 1
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [3,5,6,1,4,2,7] => {{1,2,3,4,5,6},{7}} => 0
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [4,1,3,6,5,2,7] => {{1,2,4,6},{3},{5},{7}} => 0
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [3,4,6,1,5,2,7] => {{1,2,3,4,6},{5},{7}} => 0
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [5,1,4,3,6,2,7] => {{1,2,5,6},{3,4},{7}} => 0
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [4,5,1,3,6,2,7] => {{1,3,4},{2,5,6},{7}} => 1
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [3,5,1,4,6,2,7] => {{1,3},{2,5,6},{4},{7}} => 1
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [4,1,3,5,6,2,7] => {{1,2,4,5,6},{3},{7}} => 0
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 3
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [2,6,1,5,4,3,7] => {{1,2,3,6},{4,5},{7}} => 0
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [2,5,6,1,4,3,7] => {{1,2,4,5},{3,6},{7}} => 1
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [2,4,6,1,5,3,7] => {{1,2,4},{3,6},{5},{7}} => 1
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [2,5,1,4,6,3,7] => {{1,2,3,5,6},{4},{7}} => 0
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 0
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [3,1,2,6,5,4,7] => {{1,2,3},{4,6},{5},{7}} => 0
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [3,1,2,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => 0
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [2,3,6,1,5,4,7] => {{1,2,3,4,6},{5},{7}} => 0
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 1
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [4,1,3,2,6,5,7] => {{1,2,4},{3},{5,6},{7}} => 0
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [3,4,1,2,6,5,7] => {{1,3},{2,4},{5,6},{7}} => 1
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [2,4,1,3,6,5,7] => {{1,2,3,4},{5,6},{7}} => 0
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [3,1,2,4,6,5,7] => {{1,2,3},{4},{5,6},{7}} => 0
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [2,3,4,6,1,5,7] => {{1,2,3,4,5,6},{7}} => 0
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [5,1,4,3,2,6,7] => {{1,2,5},{3,4},{6},{7}} => 0
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [4,5,1,3,2,6,7] => {{1,3,4},{2,5},{6},{7}} => 1
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [3,5,1,4,2,6,7] => {{1,3},{2,5},{4},{6},{7}} => 1
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [4,1,3,5,2,6,7] => {{1,2,4,5},{3},{6},{7}} => 0
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 0
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [2,5,1,4,3,6,7] => {{1,2,3,5},{4},{6},{7}} => 0
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 1
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [3,1,2,5,4,6,7] => {{1,2,3},{4,5},{6},{7}} => 0
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [2,3,5,1,4,6,7] => {{1,2,3,4,5},{6},{7}} => 0
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,1,3,2,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 0
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 1
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [2,4,1,3,5,6,7] => {{1,2,3,4},{5},{6},{7}} => 0
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [3,1,2,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 0
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [7,1,6,5,4,3,2] => {{1,2,7},{3,6},{4,5}} => 0
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [7,1,5,6,4,3,2] => {{1,2,7},{3,4,5,6}} => 0
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [7,1,4,6,5,3,2] => {{1,2,7},{3,4,6},{5}} => 0
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [7,1,5,4,6,3,2] => {{1,2,7},{3,5,6},{4}} => 0
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [7,1,4,5,6,3,2] => {{1,2,7},{3,4,5,6}} => 0
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [7,1,3,6,5,4,2] => {{1,2,7},{3},{4,6},{5}} => 0
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [7,1,3,5,6,4,2] => {{1,2,7},{3},{4,5,6}} => 0
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [7,1,4,3,6,5,2] => {{1,2,7},{3,4},{5,6}} => 0
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [7,1,3,4,6,5,2] => {{1,2,7},{3},{4},{5,6}} => 0
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [7,1,5,4,3,6,2] => {{1,2,7},{3,5},{4},{6}} => 0
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [7,1,4,5,3,6,2] => {{1,2,7},{3,4,5},{6}} => 0
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [7,1,3,5,4,6,2] => {{1,2,7},{3},{4,5},{6}} => 0
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [7,1,4,3,5,6,2] => {{1,2,7},{3,4},{5},{6}} => 0
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [7,1,3,4,5,6,2] => {{1,2,7},{3},{4},{5},{6}} => 0
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [7,6,1,5,4,3,2] => {{1,2,3,6,7},{4,5}} => 0
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [7,5,6,1,4,3,2] => {{1,2,4,5,7},{3,6}} => 2
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [7,4,6,1,5,3,2] => {{1,2,4,7},{3,6},{5}} => 2
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [7,5,1,4,6,3,2] => {{1,2,3,5,6,7},{4}} => 0
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [7,4,5,6,1,3,2] => {{1,2,3,4,5,6,7}} => 0
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [7,3,6,1,5,4,2] => {{1,2,3,4,6,7},{5}} => 0
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [7,3,5,6,1,4,2] => {{1,2,3,5,7},{4,6}} => 2
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [7,4,1,3,6,5,2] => {{1,2,3,4,7},{5,6}} => 0
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [7,3,4,6,1,5,2] => {{1,2,3,4,5,6,7}} => 0
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [7,5,1,4,3,6,2] => {{1,2,3,5,7},{4},{6}} => 0
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [7,4,5,1,3,6,2] => {{1,2,4,7},{3,5},{6}} => 2
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [7,3,5,1,4,6,2] => {{1,2,3,4,5,7},{6}} => 0
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [7,4,1,3,5,6,2] => {{1,2,3,4,7},{5},{6}} => 0
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [7,3,4,5,6,1,2] => {{1,2,3,4,5,6,7}} => 0
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [1,2,7,6,5,4,3] => {{1},{2},{3,7},{4,6},{5}} => 0
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [1,2,7,5,6,4,3] => {{1},{2},{3,7},{4,5,6}} => 0
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [1,2,7,4,6,5,3] => {{1},{2},{3,7},{4},{5,6}} => 0
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [1,2,7,5,4,6,3] => {{1},{2},{3,7},{4,5},{6}} => 0
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [1,2,7,4,5,6,3] => {{1},{2},{3,7},{4},{5},{6}} => 0
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [1,7,2,6,5,4,3] => {{1},{2,3,7},{4,6},{5}} => 0
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [1,7,2,5,6,4,3] => {{1},{2,3,7},{4,5,6}} => 0
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [1,7,2,4,6,5,3] => {{1},{2,3,7},{4},{5,6}} => 0
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [1,7,2,5,4,6,3] => {{1},{2,3,7},{4,5},{6}} => 0
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [1,7,2,4,5,6,3] => {{1},{2,3,7},{4},{5},{6}} => 0
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [2,7,1,6,5,4,3] => {{1,2,3,7},{4,6},{5}} => 0
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [2,7,1,5,6,4,3] => {{1,2,3,7},{4,5,6}} => 0
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [2,7,1,4,6,5,3] => {{1,2,3,7},{4},{5,6}} => 0
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [2,7,1,5,4,6,3] => {{1,2,3,7},{4,5},{6}} => 0
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [2,7,1,4,5,6,3] => {{1,2,3,7},{4},{5},{6}} => 0
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [7,1,2,6,5,4,3] => {{1,2,3,7},{4,6},{5}} => 0
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [7,1,2,5,6,4,3] => {{1,2,3,7},{4,5,6}} => 0
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [7,1,2,4,6,5,3] => {{1,2,3,7},{4},{5,6}} => 0
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [7,1,2,5,4,6,3] => {{1,2,3,7},{4,5},{6}} => 0
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [7,1,2,4,5,6,3] => {{1,2,3,7},{4},{5},{6}} => 0
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [7,2,6,1,5,4,3] => {{1,3,4,6,7},{2},{5}} => 0
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [7,2,5,6,1,4,3] => {{1,3,5,7},{2},{4,6}} => 2
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [7,2,4,6,1,5,3] => {{1,3,4,5,6,7},{2}} => 0
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [7,2,5,1,4,6,3] => {{1,3,4,5,7},{2},{6}} => 0
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [7,2,4,5,6,1,3] => {{1,3,4,5,6,7},{2}} => 0
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [1,3,2,7,6,5,4] => {{1},{2,3},{4,7},{5,6}} => 0
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [1,3,2,7,5,6,4] => {{1},{2,3},{4,7},{5},{6}} => 0
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [2,1,3,7,6,5,4] => {{1,2},{3},{4,7},{5,6}} => 0
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [2,1,3,7,5,6,4] => {{1,2},{3},{4,7},{5},{6}} => 0
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [1,7,3,2,6,5,4] => {{1},{2,4,7},{3},{5,6}} => 0
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [1,7,3,2,5,6,4] => {{1},{2,4,7},{3},{5},{6}} => 0
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [2,1,7,3,6,5,4] => {{1,2},{3,4,7},{5,6}} => 0
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [2,1,7,3,5,6,4] => {{1,2},{3,4,7},{5},{6}} => 0
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [7,2,1,3,6,5,4] => {{1,3,4,7},{2},{5,6}} => 0
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [7,2,1,3,5,6,4] => {{1,3,4,7},{2},{5},{6}} => 0
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [3,1,2,7,6,5,4] => {{1,2,3},{4,7},{5,6}} => 0
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [3,1,2,7,5,6,4] => {{1,2,3},{4,7},{5},{6}} => 0
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [2,3,7,1,6,5,4] => {{1,2,3,4,7},{5,6}} => 0
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [2,3,7,1,5,6,4] => {{1,2,3,4,7},{5},{6}} => 0
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [7,1,3,2,6,5,4] => {{1,2,4,7},{3},{5,6}} => 0
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [7,1,3,2,5,6,4] => {{1,2,4,7},{3},{5},{6}} => 0
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [7,3,1,2,6,5,4] => {{1,2,3,4,7},{5,6}} => 0
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [7,3,1,2,5,6,4] => {{1,2,3,4,7},{5},{6}} => 0
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [1,2,7,3,6,5,4] => {{1},{2},{3,4,7},{5,6}} => 0
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => 0
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [1,7,2,3,6,5,4] => {{1},{2,3,4,7},{5,6}} => 0
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => 0
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [2,7,1,3,6,5,4] => {{1,2,3,4,7},{5,6}} => 0
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [2,7,1,3,5,6,4] => {{1,2,3,4,7},{5},{6}} => 0
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [7,1,2,3,6,5,4] => {{1,2,3,4,7},{5,6}} => 0
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [7,1,2,3,5,6,4] => {{1,2,3,4,7},{5},{6}} => 0
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [7,2,3,6,1,5,4] => {{1,4,5,6,7},{2},{3}} => 0
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [7,2,3,5,6,1,4] => {{1,4,5,6,7},{2},{3}} => 0
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [1,4,3,2,7,6,5] => {{1},{2,4},{3},{5,7},{6}} => 0
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [3,1,4,2,7,6,5] => {{1,2,3,4},{5,7},{6}} => 0
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [2,1,4,3,7,6,5] => {{1,2},{3,4},{5,7},{6}} => 0
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [3,2,1,4,7,6,5] => {{1,3},{2},{4},{5,7},{6}} => 0
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [2,3,1,4,7,6,5] => {{1,2,3},{4},{5,7},{6}} => 0
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [1,7,4,3,2,6,5] => {{1},{2,5,7},{3,4},{6}} => 0
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [7,3,1,4,2,6,5] => {{1,2,3,5,7},{4},{6}} => 0
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [2,1,7,4,3,6,5] => {{1,2},{3,5,7},{4},{6}} => 0
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [7,2,1,4,3,6,5] => {{1,3,5,7},{2},{4},{6}} => 0
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [3,2,1,7,4,6,5] => {{1,3},{2},{4,5,7},{6}} => 0
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [2,3,1,7,4,6,5] => {{1,2,3},{4,5,7},{6}} => 0
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [7,3,2,1,4,6,5] => {{1,4,5,7},{2,3},{6}} => 0
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [2,7,3,1,4,6,5] => {{1,2,4,5,7},{3},{6}} => 0
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [7,2,3,1,4,6,5] => {{1,4,5,7},{2},{3},{6}} => 0
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [4,1,3,2,7,6,5] => {{1,2,4},{3},{5,7},{6}} => 0
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [3,4,1,2,7,6,5] => {{1,3},{2,4},{5,7},{6}} => 1
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [2,4,1,3,7,6,5] => {{1,2,3,4},{5,7},{6}} => 0
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [3,1,2,4,7,6,5] => {{1,2,3},{4},{5,7},{6}} => 0
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [2,3,4,7,1,6,5] => {{1,2,3,4,5,7},{6}} => 0
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [7,1,4,3,2,6,5] => {{1,2,5,7},{3,4},{6}} => 0
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [7,1,3,4,2,6,5] => {{1,2,5,7},{3},{4},{6}} => 0
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [7,4,1,3,2,6,5] => {{1,2,3,4,5,7},{6}} => 0
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [7,3,4,1,2,6,5] => {{1,2,3,4,5,7},{6}} => 0
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [1,2,7,4,3,6,5] => {{1},{2},{3,5,7},{4},{6}} => 0
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => 0
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [2,7,1,4,3,6,5] => {{1,2,3,5,7},{4},{6}} => 0
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [7,1,2,4,3,6,5] => {{1,2,3,5,7},{4},{6}} => 0
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [7,2,4,1,3,6,5] => {{1,3,4,5,7},{2},{6}} => 0
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => 0
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [2,1,3,7,4,6,5] => {{1,2},{3},{4,5,7},{6}} => 0
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [1,7,3,2,4,6,5] => {{1},{2,4,5,7},{3},{6}} => 0
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [2,1,7,3,4,6,5] => {{1,2},{3,4,5,7},{6}} => 0
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [7,2,1,3,4,6,5] => {{1,3,4,5,7},{2},{6}} => 0
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [3,1,2,7,4,6,5] => {{1,2,3},{4,5,7},{6}} => 0
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [2,3,7,1,4,6,5] => {{1,2,3,4,5,7},{6}} => 0
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [7,1,3,2,4,6,5] => {{1,2,4,5,7},{3},{6}} => 0
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [7,3,1,2,4,6,5] => {{1,2,3,4,5,7},{6}} => 0
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => 0
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => 0
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [2,7,1,3,4,6,5] => {{1,2,3,4,5,7},{6}} => 0
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [7,1,2,3,4,6,5] => {{1,2,3,4,5,7},{6}} => 0
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [7,2,3,4,6,1,5] => {{1,5,6,7},{2},{3},{4}} => 0
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [1,5,4,3,2,7,6] => {{1},{2,5},{3,4},{6,7}} => 0
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [4,1,5,3,2,7,6] => {{1,2,3,4,5},{6,7}} => 0
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [3,1,5,4,2,7,6] => {{1,2,3,5},{4},{6,7}} => 0
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [4,3,1,5,2,7,6] => {{1,2,3,4,5},{6,7}} => 0
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [3,4,1,5,2,7,6] => {{1,3},{2,4,5},{6,7}} => 1
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [2,1,5,4,3,7,6] => {{1,2},{3,5},{4},{6,7}} => 0
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [2,4,1,5,3,7,6] => {{1,2,3,4,5},{6,7}} => 0
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [3,2,1,5,4,7,6] => {{1,3},{2},{4,5},{6,7}} => 0
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [2,3,1,5,4,7,6] => {{1,2,3},{4,5},{6,7}} => 0
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [4,3,2,1,5,7,6] => {{1,4},{2,3},{5},{6,7}} => 0
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [3,4,2,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => 0
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [2,4,3,1,5,7,6] => {{1,2,4},{3},{5},{6,7}} => 0
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [3,2,4,1,5,7,6] => {{1,3,4},{2},{5},{6,7}} => 0
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [2,3,4,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => 0
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [1,7,5,4,3,2,6] => {{1},{2,6,7},{3,5},{4}} => 0
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [7,4,1,5,3,2,6] => {{1,2,3,4,5,6,7}} => 0
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [7,3,1,5,4,2,6] => {{1,2,3,6,7},{4,5}} => 0
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [7,4,3,1,5,2,6] => {{1,2,4,6,7},{3},{5}} => 0
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [7,3,4,1,5,2,6] => {{1,2,3,4,6,7},{5}} => 0
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [2,1,7,5,4,3,6] => {{1,2},{3,6,7},{4,5}} => 0
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [2,7,4,1,5,3,6] => {{1,2,3,4,6,7},{5}} => 0
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [7,2,1,5,4,3,6] => {{1,3,6,7},{2},{4,5}} => 0
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [7,2,4,1,5,3,6] => {{1,3,4,6,7},{2},{5}} => 0
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [3,2,1,7,5,4,6] => {{1,3},{2},{4,6,7},{5}} => 0
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [2,3,1,7,5,4,6] => {{1,2,3},{4,6,7},{5}} => 0
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [7,3,2,1,5,4,6] => {{1,4,6,7},{2,3},{5}} => 0
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [2,7,3,1,5,4,6] => {{1,2,4,6,7},{3},{5}} => 0
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [7,2,3,1,5,4,6] => {{1,4,6,7},{2},{3},{5}} => 0
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [4,3,2,1,7,5,6] => {{1,4},{2,3},{5,6,7}} => 0
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [3,4,2,1,7,5,6] => {{1,2,3,4},{5,6,7}} => 0
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [2,4,3,1,7,5,6] => {{1,2,4},{3},{5,6,7}} => 0
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [3,2,4,1,7,5,6] => {{1,3,4},{2},{5,6,7}} => 0
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [2,3,4,1,7,5,6] => {{1,2,3,4},{5,6,7}} => 0
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [7,4,3,2,1,5,6] => {{1,5,6,7},{2,4},{3}} => 0
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [7,3,4,2,1,5,6] => {{1,5,6,7},{2,3,4}} => 0
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [2,7,4,3,1,5,6] => {{1,2,5,6,7},{3,4}} => 0
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [7,2,4,3,1,5,6] => {{1,5,6,7},{2},{3,4}} => 0
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [3,2,7,4,1,5,6] => {{1,3,5,6,7},{2},{4}} => 0
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [2,3,7,4,1,5,6] => {{1,2,3,5,6,7},{4}} => 0
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [7,3,2,4,1,5,6] => {{1,5,6,7},{2,3},{4}} => 0
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [2,7,3,4,1,5,6] => {{1,2,5,6,7},{3},{4}} => 0
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [7,2,3,4,1,5,6] => {{1,5,6,7},{2},{3},{4}} => 0
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [5,1,4,3,2,7,6] => {{1,2,5},{3,4},{6,7}} => 0
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [4,5,1,3,2,7,6] => {{1,3,4},{2,5},{6,7}} => 1
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [3,5,1,4,2,7,6] => {{1,3},{2,5},{4},{6,7}} => 1
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [4,1,3,5,2,7,6] => {{1,2,4,5},{3},{6,7}} => 0
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [2,5,1,4,3,7,6] => {{1,2,3,5},{4},{6,7}} => 0
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => 1
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [3,1,2,5,4,7,6] => {{1,2,3},{4,5},{6,7}} => 0
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [2,3,5,1,4,7,6] => {{1,2,3,4,5},{6,7}} => 0
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [4,1,3,2,5,7,6] => {{1,2,4},{3},{5},{6,7}} => 0
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 1
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [2,4,1,3,5,7,6] => {{1,2,3,4},{5},{6,7}} => 0
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [3,1,2,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => 0
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [2,3,4,5,7,1,6] => {{1,2,3,4,5,6,7}} => 0
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [7,1,5,4,3,2,6] => {{1,2,6,7},{3,5},{4}} => 0
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [7,1,4,5,3,2,6] => {{1,2,6,7},{3,4,5}} => 0
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [7,1,3,5,4,2,6] => {{1,2,6,7},{3},{4,5}} => 0
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [7,1,4,3,5,2,6] => {{1,2,6,7},{3,4},{5}} => 0
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [7,1,3,4,5,2,6] => {{1,2,6,7},{3},{4},{5}} => 0
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [7,5,1,4,3,2,6] => {{1,2,3,5,6,7},{4}} => 0
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [7,4,5,1,3,2,6] => {{1,2,4,6,7},{3,5}} => 2
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [7,3,5,1,4,2,6] => {{1,2,3,4,5,6,7}} => 0
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [7,4,1,3,5,2,6] => {{1,2,3,4,6,7},{5}} => 0
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [7,3,4,5,1,2,6] => {{1,2,3,4,5,6,7}} => 0
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [1,2,7,5,4,3,6] => {{1},{2},{3,6,7},{4,5}} => 0
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [1,2,7,4,5,3,6] => {{1},{2},{3,6,7},{4},{5}} => 0
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [1,7,2,5,4,3,6] => {{1},{2,3,6,7},{4,5}} => 0
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => 0
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [2,7,1,5,4,3,6] => {{1,2,3,6,7},{4,5}} => 0
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [2,7,1,4,5,3,6] => {{1,2,3,6,7},{4},{5}} => 0
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [7,1,2,5,4,3,6] => {{1,2,3,6,7},{4,5}} => 0
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [7,1,2,4,5,3,6] => {{1,2,3,6,7},{4},{5}} => 0
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [7,2,5,1,4,3,6] => {{1,3,4,5,6,7},{2}} => 0
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [7,2,4,5,1,3,6] => {{1,3,4,5,6,7},{2}} => 0
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [1,3,2,7,5,4,6] => {{1},{2,3},{4,6,7},{5}} => 0
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [2,1,3,7,5,4,6] => {{1,2},{3},{4,6,7},{5}} => 0
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [1,7,3,2,5,4,6] => {{1},{2,4,6,7},{3},{5}} => 0
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [2,1,7,3,5,4,6] => {{1,2},{3,4,6,7},{5}} => 0
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [7,2,1,3,5,4,6] => {{1,3,4,6,7},{2},{5}} => 0
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [3,1,2,7,5,4,6] => {{1,2,3},{4,6,7},{5}} => 0
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [2,3,7,1,5,4,6] => {{1,2,3,4,6,7},{5}} => 0
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [7,1,3,2,5,4,6] => {{1,2,4,6,7},{3},{5}} => 0
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [7,3,1,2,5,4,6] => {{1,2,3,4,6,7},{5}} => 0
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => 0
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => 0
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [2,7,1,3,5,4,6] => {{1,2,3,4,6,7},{5}} => 0
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [7,1,2,3,5,4,6] => {{1,2,3,4,6,7},{5}} => 0
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [7,2,3,5,1,4,6] => {{1,4,5,6,7},{2},{3}} => 0
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [1,4,3,2,7,5,6] => {{1},{2,4},{3},{5,6,7}} => 0
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [3,1,4,2,7,5,6] => {{1,2,3,4},{5,6,7}} => 0
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [2,1,4,3,7,5,6] => {{1,2},{3,4},{5,6,7}} => 0
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [3,2,1,4,7,5,6] => {{1,3},{2},{4},{5,6,7}} => 0
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [2,3,1,4,7,5,6] => {{1,2,3},{4},{5,6,7}} => 0
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [1,7,4,3,2,5,6] => {{1},{2,5,6,7},{3,4}} => 0
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [7,3,1,4,2,5,6] => {{1,2,3,5,6,7},{4}} => 0
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [2,1,7,4,3,5,6] => {{1,2},{3,5,6,7},{4}} => 0
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [7,2,1,4,3,5,6] => {{1,3,5,6,7},{2},{4}} => 0
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [3,2,1,7,4,5,6] => {{1,3},{2},{4,5,6,7}} => 0
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [2,3,1,7,4,5,6] => {{1,2,3},{4,5,6,7}} => 0
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [7,3,2,1,4,5,6] => {{1,4,5,6,7},{2,3}} => 0
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [2,7,3,1,4,5,6] => {{1,2,4,5,6,7},{3}} => 0
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [7,2,3,1,4,5,6] => {{1,4,5,6,7},{2},{3}} => 0
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [4,1,3,2,7,5,6] => {{1,2,4},{3},{5,6,7}} => 0
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [3,4,1,2,7,5,6] => {{1,3},{2,4},{5,6,7}} => 1
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [2,4,1,3,7,5,6] => {{1,2,3,4},{5,6,7}} => 0
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [3,1,2,4,7,5,6] => {{1,2,3},{4},{5,6,7}} => 0
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [2,3,4,7,1,5,6] => {{1,2,3,4,5,6,7}} => 0
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [7,1,4,3,2,5,6] => {{1,2,5,6,7},{3,4}} => 0
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [7,1,3,4,2,5,6] => {{1,2,5,6,7},{3},{4}} => 0
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [7,4,1,3,2,5,6] => {{1,2,3,4,5,6,7}} => 0
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [7,3,4,1,2,5,6] => {{1,2,3,4,5,6,7}} => 0
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [1,2,7,4,3,5,6] => {{1},{2},{3,5,6,7},{4}} => 0
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => 0
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [2,7,1,4,3,5,6] => {{1,2,3,5,6,7},{4}} => 0
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [7,1,2,4,3,5,6] => {{1,2,3,5,6,7},{4}} => 0
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [7,2,4,1,3,5,6] => {{1,3,4,5,6,7},{2}} => 0
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => 0
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,5,6,7}} => 0
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [1,7,3,2,4,5,6] => {{1},{2,4,5,6,7},{3}} => 0
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [2,1,7,3,4,5,6] => {{1,2},{3,4,5,6,7}} => 0
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [7,2,1,3,4,5,6] => {{1,3,4,5,6,7},{2}} => 0
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [3,1,2,7,4,5,6] => {{1,2,3},{4,5,6,7}} => 0
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [2,3,7,1,4,5,6] => {{1,2,3,4,5,6,7}} => 0
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [7,1,3,2,4,5,6] => {{1,2,4,5,6,7},{3}} => 0
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [7,3,1,2,4,5,6] => {{1,2,3,4,5,6,7}} => 0
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => 0
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => 0
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [2,7,1,3,4,5,6] => {{1,2,3,4,5,6,7}} => 0
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [7,1,2,3,4,5,6] => {{1,2,3,4,5,6,7}} => 0
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [7,2,3,4,5,6,1] => {{1,7},{2},{3},{4},{5},{6}} => 0
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [5,6,1,7,4,3,2,8] => {{1,2,3,4,5,6,7},{8}} => 0
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [4,1,7,6,5,3,2,8] => {{1,2,3,4,6,7},{5},{8}} => 0
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 0
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [8,6,1,7,5,4,3,2] => {{1,2,3,4,6,7,8},{5}} => 0
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [8,5,1,7,6,4,3,2] => {{1,2,3,4,5,6,7,8}} => 0
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [4,3,2,1,8,7,6,5] => {{1,4},{2,3},{5,8},{6,7}} => 0
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [6,5,4,3,2,1,8,7] => {{1,6},{2,5},{3,4},{7,8}} => 0
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [5,4,6,3,2,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [3,4,5,6,2,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [4,3,5,2,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,1,5,7,4,3,2,8] => {{1,2,3,4,5,6,7},{8}} => 0
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [2,5,1,4,6,7,3,8] => {{1,2,3,5,6,7},{4},{8}} => 0
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [2,3,7,1,6,5,4,8] => {{1,2,3,4,7},{5,6},{8}} => 0
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [2,3,4,5,7,1,6,8] => {{1,2,3,4,5,6,7},{8}} => 0
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [8,3,7,1,6,5,4,2] => {{1,2,3,4,7,8},{5,6}} => 0
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [8,3,6,7,1,5,4,2] => {{1,2,3,5,6,8},{4,7}} => 2
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [8,3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7,8}} => 0
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [8,2,5,6,7,1,4,3] => {{1,3,4,5,6,7,8},{2}} => 0
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [8,2,4,5,7,1,6,3] => {{1,3,4,5,6,7,8},{2}} => 0
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [8,2,3,5,6,7,1,4] => {{1,4,5,6,7,8},{2},{3}} => 0
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [2,1,4,3,8,7,6,5] => {{1,2},{3,4},{5,8},{6,7}} => 0
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [1,8,2,3,4,6,7,5] => {{1},{2,3,4,5,8},{6},{7}} => 0
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [8,1,2,3,4,5,7,6] => {{1,2,3,4,5,6,8},{7}} => 0
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [2,8,5,1,6,4,3,7] => {{1,2,3,4,5,6,7,8}} => 0
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [8,3,1,2,5,4,6,7] => {{1,2,3,4,6,7,8},{5}} => 0
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [8,2,3,1,4,5,6,7] => {{1,4,5,6,7,8},{2},{3}} => 0
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [8,2,4,1,3,5,6,7] => {{1,3,4,5,6,7,8},{2}} => 0
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [2,1,8,3,4,5,6,7] => {{1,2},{3,4,5,6,7,8}} => 0
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [8,2,1,3,4,5,6,7] => {{1,3,4,5,6,7,8},{2}} => 0
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => 0
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [2,8,1,3,4,5,6,7] => {{1,2,3,4,5,6,7,8}} => 0
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [8,1,2,3,4,5,6,7] => {{1,2,3,4,5,6,7,8}} => 0
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [8,7,6,5,4,3,2,1,10,9] => {{1,8},{2,7},{3,6},{4,5},{9,10}} => 0
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Description
The number of crossings of a set partition.
This is given by the number of $i < i' < j < j'$ such that $i,j$ are two consecutive entries on one block, and $i',j'$ are consecutive entries in another block.
Map
toric promotion
Description
Toric promotion of a permutation.
Let $\sigma\in\mathfrak S_n$ be a permutation and let
$ \tau_{i, j}(\sigma) = \begin{cases} \sigma & \text{if $|\sigma^{-1}(i) - \sigma^{-1}(j)| = 1$}\\ (i, j)\circ\sigma & \text{otherwise}. \end{cases} $
The toric promotion operator is the product $\tau_{n,1}\tau_{n-1,n}\dots\tau_{1,2}$.
This is the special case of toric promotion on graphs for the path graph. Its order is $n-1$.
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
to cycle type
Description
Let $\pi=c_1\dots c_r$ a permutation of size $n$ decomposed in its cyclic parts. The associated set partition of $[n]$ then is $S=S_1\cup\dots\cup S_r$ such that $S_i$ is the set of integers in the cycle $c_i$.
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].