Identifier
Values
[.,[.,.]] => [2,1] => {{1,2}} => 1
[[.,.],.] => [1,2] => {{1},{2}} => 0
[.,[.,[.,.]]] => [3,2,1] => {{1,3},{2}} => 1
[.,[[.,.],.]] => [2,3,1] => {{1,2,3}} => 1
[[.,.],[.,.]] => [3,1,2] => {{1,3},{2}} => 1
[[.,[.,.]],.] => [2,1,3] => {{1,2},{3}} => 1
[[[.,.],.],.] => [1,2,3] => {{1},{2},{3}} => 0
[.,[.,[.,[.,.]]]] => [4,3,2,1] => {{1,4},{2,3}} => 2
[.,[.,[[.,.],.]]] => [3,4,2,1] => {{1,3},{2,4}} => 1
[.,[[.,.],[.,.]]] => [4,2,3,1] => {{1,4},{2},{3}} => 1
[.,[[.,[.,.]],.]] => [3,2,4,1] => {{1,3,4},{2}} => 1
[.,[[[.,.],.],.]] => [2,3,4,1] => {{1,2,3,4}} => 1
[[.,.],[.,[.,.]]] => [4,3,1,2] => {{1,4},{2,3}} => 2
[[.,.],[[.,.],.]] => [3,4,1,2] => {{1,3},{2,4}} => 1
[[.,[.,.]],[.,.]] => [4,2,1,3] => {{1,4},{2},{3}} => 1
[[[.,.],.],[.,.]] => [4,1,2,3] => {{1,4},{2},{3}} => 1
[[.,[.,[.,.]]],.] => [3,2,1,4] => {{1,3},{2},{4}} => 1
[[.,[[.,.],.]],.] => [2,3,1,4] => {{1,2,3},{4}} => 1
[[[.,.],[.,.]],.] => [3,1,2,4] => {{1,3},{2},{4}} => 1
[[[.,[.,.]],.],.] => [2,1,3,4] => {{1,2},{3},{4}} => 1
[[[[.,.],.],.],.] => [1,2,3,4] => {{1},{2},{3},{4}} => 0
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => {{1,5},{2,4},{3}} => 2
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => {{1,4},{2,5},{3}} => 1
[.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => {{1,5},{2,3,4}} => 2
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => {{1,4},{2,3,5}} => 2
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => {{1,3,5},{2,4}} => 1
[.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => {{1,5},{2,4},{3}} => 2
[.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => {{1,4},{2,5},{3}} => 1
[.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => {{1,5},{2,3},{4}} => 2
[.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => {{1,5},{2},{3},{4}} => 1
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => {{1,4,5},{2,3}} => 2
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => {{1,3},{2,4,5}} => 1
[.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => {{1,4,5},{2},{3}} => 1
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => {{1,3,4,5},{2}} => 1
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => {{1,2,3,4,5}} => 1
[[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => {{1,5},{2,4},{3}} => 2
[[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => {{1,4},{2,5},{3}} => 1
[[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => {{1,5},{2,3,4}} => 2
[[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => {{1,4},{2,3,5}} => 2
[[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => {{1,3,5},{2,4}} => 1
[[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => {{1,5},{2,4},{3}} => 2
[[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => {{1,4},{2,5},{3}} => 1
[[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => {{1,5},{2,4},{3}} => 2
[[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => {{1,4},{2,5},{3}} => 1
[[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => {{1,5},{2,3},{4}} => 2
[[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => {{1,5},{2},{3},{4}} => 1
[[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => {{1,5},{2,3},{4}} => 2
[[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => {{1,5},{2},{3},{4}} => 1
[[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => {{1,5},{2},{3},{4}} => 1
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => {{1,4},{2,3},{5}} => 2
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => {{1,3},{2,4},{5}} => 1
[[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => {{1,4},{2},{3},{5}} => 1
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => {{1,3,4},{2},{5}} => 1
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => {{1,2,3,4},{5}} => 1
[[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => {{1,4},{2,3},{5}} => 2
[[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => {{1,3},{2,4},{5}} => 1
[[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => {{1,4},{2},{3},{5}} => 1
[[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => {{1,4},{2},{3},{5}} => 1
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => {{1,3},{2},{4},{5}} => 1
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => {{1,2,3},{4},{5}} => 1
[[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => {{1,3},{2},{4},{5}} => 1
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => {{1,2},{3},{4},{5}} => 1
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => {{1,6},{2,5},{3,4}} => 3
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => {{1,5},{2,6},{3,4}} => 2
[.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => {{1,6},{2,4},{3,5}} => 2
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => {{1,5},{2,4},{3,6}} => 2
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => {{1,4},{2,5},{3,6}} => 1
[.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => {{1,6},{2,5},{3},{4}} => 2
[.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => {{1,5},{2,6},{3},{4}} => 1
[.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => {{1,6},{2,4,5},{3}} => 2
[.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => {{1,6},{2,3,4,5}} => 2
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => {{1,5},{2,4,6},{3}} => 2
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}} => 1
[.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => {{1,5},{2,3,4,6}} => 2
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 2
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => {{1,3,5},{2,4,6}} => 1
[.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => {{1,6},{2,5},{3,4}} => 3
[.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => {{1,5},{2,6},{3,4}} => 2
[.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => {{1,6},{2,4},{3,5}} => 2
[.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => {{1,5},{2,4},{3,6}} => 2
[.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => {{1,4},{2,5},{3,6}} => 1
[.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => {{1,6},{2,5},{3},{4}} => 2
[.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => {{1,5},{2,6},{3},{4}} => 1
[.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => {{1,6},{2,5},{3},{4}} => 2
[.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => {{1,5},{2,6},{3},{4}} => 1
[.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => {{1,6},{2,4},{3},{5}} => 2
[.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => {{1,6},{2,3,4},{5}} => 2
[.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => {{1,6},{2,4},{3},{5}} => 2
[.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => {{1,6},{2,3},{4},{5}} => 2
[.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => {{1,6},{2},{3},{4},{5}} => 1
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => {{1,5,6},{2,4},{3}} => 2
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => {{1,4},{2,5,6},{3}} => 1
[.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => {{1,5,6},{2,3,4}} => 2
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => {{1,4},{2,3,5,6}} => 2
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 1
[.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => {{1,5,6},{2,4},{3}} => 2
[.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => {{1,4},{2,5,6},{3}} => 1
[.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => {{1,5,6},{2,3},{4}} => 2
[.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => {{1,5,6},{2},{3},{4}} => 1
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 2
>>> Load all 632 entries. <<<
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => {{1,3},{2,4,5,6}} => 1
[.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => {{1,4,5,6},{2},{3}} => 1
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 1
[[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => {{1,6},{2,5},{3,4}} => 3
[[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => {{1,5},{2,6},{3,4}} => 2
[[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => {{1,6},{2,4},{3,5}} => 2
[[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => {{1,5},{2,4},{3,6}} => 2
[[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => {{1,4},{2,5},{3,6}} => 1
[[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => {{1,6},{2,5},{3},{4}} => 2
[[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => {{1,5},{2,6},{3},{4}} => 1
[[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => {{1,6},{2,4,5},{3}} => 2
[[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => {{1,6},{2,3,4,5}} => 2
[[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => {{1,5},{2,4,6},{3}} => 2
[[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => {{1,4,6},{2,5},{3}} => 1
[[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => {{1,5},{2,3,4,6}} => 2
[[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => {{1,4,6},{2,3,5}} => 2
[[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 1
[[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => {{1,6},{2,5},{3,4}} => 3
[[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => {{1,5},{2,6},{3,4}} => 2
[[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => {{1,6},{2,4},{3,5}} => 2
[[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => {{1,5},{2,4},{3,6}} => 2
[[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => {{1,4},{2,5},{3,6}} => 1
[[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => {{1,6},{2,5},{3,4}} => 3
[[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => {{1,5},{2,6},{3,4}} => 2
[[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => {{1,6},{2,4},{3,5}} => 2
[[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => {{1,5},{2,4},{3,6}} => 2
[[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 1
[[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => {{1,6},{2,5},{3},{4}} => 2
[[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => {{1,5},{2,6},{3},{4}} => 1
[[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => {{1,6},{2,5},{3},{4}} => 2
[[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => {{1,5},{2,6},{3},{4}} => 1
[[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => {{1,6},{2,5},{3},{4}} => 2
[[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => {{1,5},{2,6},{3},{4}} => 1
[[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => {{1,6},{2,5},{3},{4}} => 2
[[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => {{1,5},{2,6},{3},{4}} => 1
[[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => {{1,6},{2,5},{3},{4}} => 2
[[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => {{1,5},{2,6},{3},{4}} => 1
[[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => {{1,6},{2,4},{3},{5}} => 2
[[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => {{1,6},{2,3,4},{5}} => 2
[[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => {{1,6},{2,4},{3},{5}} => 2
[[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => {{1,6},{2,3},{4},{5}} => 2
[[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => {{1,6},{2},{3},{4},{5}} => 1
[[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => {{1,6},{2,4},{3},{5}} => 2
[[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => {{1,6},{2,3,4},{5}} => 2
[[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => {{1,6},{2,4},{3},{5}} => 2
[[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => {{1,6},{2,4},{3},{5}} => 2
[[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => {{1,6},{2,3},{4},{5}} => 2
[[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => {{1,6},{2},{3},{4},{5}} => 1
[[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => {{1,6},{2,3},{4},{5}} => 2
[[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => {{1,6},{2},{3},{4},{5}} => 1
[[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 1
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => {{1,5},{2,4},{3},{6}} => 2
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => {{1,4},{2,5},{3},{6}} => 1
[[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => {{1,5},{2,3,4},{6}} => 2
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => {{1,4},{2,3,5},{6}} => 2
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => {{1,3,5},{2,4},{6}} => 1
[[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => {{1,5},{2,4},{3},{6}} => 2
[[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => {{1,4},{2,5},{3},{6}} => 1
[[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => {{1,5},{2,3},{4},{6}} => 2
[[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => {{1,5},{2},{3},{4},{6}} => 1
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => {{1,4,5},{2,3},{6}} => 2
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => {{1,3},{2,4,5},{6}} => 1
[[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => {{1,4,5},{2},{3},{6}} => 1
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => {{1,3,4,5},{2},{6}} => 1
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}} => 1
[[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => {{1,5},{2,4},{3},{6}} => 2
[[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => {{1,4},{2,5},{3},{6}} => 1
[[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => {{1,5},{2,3,4},{6}} => 2
[[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => {{1,4},{2,3,5},{6}} => 2
[[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => {{1,3,5},{2,4},{6}} => 1
[[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => {{1,5},{2,4},{3},{6}} => 2
[[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => {{1,4},{2,5},{3},{6}} => 1
[[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => {{1,5},{2,4},{3},{6}} => 2
[[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => {{1,4},{2,5},{3},{6}} => 1
[[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => {{1,5},{2,3},{4},{6}} => 2
[[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => {{1,5},{2},{3},{4},{6}} => 1
[[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => {{1,5},{2,3},{4},{6}} => 2
[[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => {{1,5},{2},{3},{4},{6}} => 1
[[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 1
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => {{1,4},{2,3},{5},{6}} => 2
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => {{1,3},{2,4},{5},{6}} => 1
[[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => {{1,4},{2},{3},{5},{6}} => 1
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => {{1,3,4},{2},{5},{6}} => 1
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}} => 1
[[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => {{1,4},{2,3},{5},{6}} => 2
[[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 1
[[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => {{1,4},{2},{3},{5},{6}} => 1
[[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 1
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => {{1,3},{2},{4},{5},{6}} => 1
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} => 1
[[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 1
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 1
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 0
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => {{1,7},{2,6},{3,5},{4}} => 3
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => {{1,6},{2,7},{3,5},{4}} => 2
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [7,5,6,4,3,2,1] => {{1,7},{2,5},{3,6},{4}} => 2
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => {{1,6},{2,5},{3,7},{4}} => 2
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => {{1,5},{2,6},{3,7},{4}} => 1
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [7,6,4,5,3,2,1] => {{1,7},{2,6},{3,4,5}} => 3
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [6,7,4,5,3,2,1] => {{1,6},{2,7},{3,4,5}} => 2
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [7,5,4,6,3,2,1] => {{1,7},{2,5},{3,4,6}} => 3
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [7,4,5,6,3,2,1] => {{1,7},{2,4,6},{3,5}} => 2
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => {{1,6},{2,5},{3,4,7}} => 3
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => {{1,5},{2,6},{3,4,7}} => 2
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [6,4,5,7,3,2,1] => {{1,6},{2,4,7},{3,5}} => 2
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => {{1,5},{2,4,7},{3,6}} => 2
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => {{1,4,7},{2,5},{3,6}} => 1
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [7,6,5,3,4,2,1] => {{1,7},{2,6},{3,5},{4}} => 3
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [6,7,5,3,4,2,1] => {{1,6},{2,7},{3,5},{4}} => 2
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [7,5,6,3,4,2,1] => {{1,7},{2,5},{3,6},{4}} => 2
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [6,5,7,3,4,2,1] => {{1,6},{2,5},{3,7},{4}} => 2
[.,[.,[[.,.],[[[.,.],.],.]]]] => [5,6,7,3,4,2,1] => {{1,5},{2,6},{3,7},{4}} => 1
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [7,6,4,3,5,2,1] => {{1,7},{2,6},{3,4},{5}} => 3
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [6,7,4,3,5,2,1] => {{1,6},{2,7},{3,4},{5}} => 2
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [7,6,3,4,5,2,1] => {{1,7},{2,6},{3},{4},{5}} => 2
[.,[.,[[[.,.],.],[[.,.],.]]]] => [6,7,3,4,5,2,1] => {{1,6},{2,7},{3},{4},{5}} => 1
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [7,5,4,3,6,2,1] => {{1,7},{2,5,6},{3,4}} => 3
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [7,4,5,3,6,2,1] => {{1,7},{2,4},{3,5,6}} => 2
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [7,5,3,4,6,2,1] => {{1,7},{2,5,6},{3},{4}} => 2
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [7,4,3,5,6,2,1] => {{1,7},{2,4,5,6},{3}} => 2
[.,[.,[[[[.,.],.],.],[.,.]]]] => [7,3,4,5,6,2,1] => {{1,7},{2,3,4,5,6}} => 2
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => {{1,6},{2,5,7},{3,4}} => 3
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}} => 2
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [6,4,5,3,7,2,1] => {{1,6},{2,4},{3,5,7}} => 2
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => {{1,5,7},{2,4},{3,6}} => 2
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => {{1,4},{2,5,7},{3,6}} => 1
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [6,5,3,4,7,2,1] => {{1,6},{2,5,7},{3},{4}} => 2
[.,[.,[[[.,.],[[.,.],.]],.]]] => [5,6,3,4,7,2,1] => {{1,5,7},{2,6},{3},{4}} => 1
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [6,4,3,5,7,2,1] => {{1,6},{2,4,5,7},{3}} => 2
[.,[.,[[[[.,.],.],[.,.]],.]]] => [6,3,4,5,7,2,1] => {{1,6},{2,3,4,5,7}} => 2
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}} => 2
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => {{1,4,6},{2,5,7},{3}} => 1
[.,[.,[[[[.,.],[.,.]],.],.]]] => [5,3,4,6,7,2,1] => {{1,5,7},{2,3,4,6}} => 2
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => {{1,4,6},{2,3,5,7}} => 2
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 1
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [7,6,5,4,2,3,1] => {{1,7},{2,6},{3,5},{4}} => 3
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [6,7,5,4,2,3,1] => {{1,6},{2,7},{3,5},{4}} => 2
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [7,5,6,4,2,3,1] => {{1,7},{2,5},{3,6},{4}} => 2
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [6,5,7,4,2,3,1] => {{1,6},{2,5},{3,7},{4}} => 2
[.,[[.,.],[.,[[[.,.],.],.]]]] => [5,6,7,4,2,3,1] => {{1,5},{2,6},{3,7},{4}} => 1
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [7,6,4,5,2,3,1] => {{1,7},{2,6},{3,4,5}} => 3
[.,[[.,.],[[.,.],[[.,.],.]]]] => [6,7,4,5,2,3,1] => {{1,6},{2,7},{3,4,5}} => 2
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [7,5,4,6,2,3,1] => {{1,7},{2,5},{3,4,6}} => 3
[.,[[.,.],[[[.,.],.],[.,.]]]] => [7,4,5,6,2,3,1] => {{1,7},{2,4,6},{3,5}} => 2
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [6,5,4,7,2,3,1] => {{1,6},{2,5},{3,4,7}} => 3
[.,[[.,.],[[.,[[.,.],.]],.]]] => [5,6,4,7,2,3,1] => {{1,5},{2,6},{3,4,7}} => 2
[.,[[.,.],[[[.,.],[.,.]],.]]] => [6,4,5,7,2,3,1] => {{1,6},{2,4,7},{3,5}} => 2
[.,[[.,.],[[[.,[.,.]],.],.]]] => [5,4,6,7,2,3,1] => {{1,5},{2,4,7},{3,6}} => 2
[.,[[.,.],[[[[.,.],.],.],.]]] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 1
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [7,6,5,3,2,4,1] => {{1,7},{2,6},{3,5},{4}} => 3
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [6,7,5,3,2,4,1] => {{1,6},{2,7},{3,5},{4}} => 2
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [7,5,6,3,2,4,1] => {{1,7},{2,5},{3,6},{4}} => 2
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [6,5,7,3,2,4,1] => {{1,6},{2,5},{3,7},{4}} => 2
[.,[[.,[.,.]],[[[.,.],.],.]]] => [5,6,7,3,2,4,1] => {{1,5},{2,6},{3,7},{4}} => 1
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [7,6,5,2,3,4,1] => {{1,7},{2,6},{3,5},{4}} => 3
[.,[[[.,.],.],[.,[[.,.],.]]]] => [6,7,5,2,3,4,1] => {{1,6},{2,7},{3,5},{4}} => 2
[.,[[[.,.],.],[[.,.],[.,.]]]] => [7,5,6,2,3,4,1] => {{1,7},{2,5},{3,6},{4}} => 2
[.,[[[.,.],.],[[.,[.,.]],.]]] => [6,5,7,2,3,4,1] => {{1,6},{2,5},{3,7},{4}} => 2
[.,[[[.,.],.],[[[.,.],.],.]]] => [5,6,7,2,3,4,1] => {{1,5},{2,6},{3,7},{4}} => 1
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [7,6,4,3,2,5,1] => {{1,7},{2,6},{3,4},{5}} => 3
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [6,7,4,3,2,5,1] => {{1,6},{2,7},{3,4},{5}} => 2
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [7,6,3,4,2,5,1] => {{1,7},{2,6},{3},{4},{5}} => 2
[.,[[.,[[.,.],.]],[[.,.],.]]] => [6,7,3,4,2,5,1] => {{1,6},{2,7},{3},{4},{5}} => 1
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [7,6,4,2,3,5,1] => {{1,7},{2,6},{3,4},{5}} => 3
[.,[[[.,.],[.,.]],[[.,.],.]]] => [6,7,4,2,3,5,1] => {{1,6},{2,7},{3,4},{5}} => 2
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [7,6,3,2,4,5,1] => {{1,7},{2,6},{3},{4},{5}} => 2
[.,[[[.,[.,.]],.],[[.,.],.]]] => [6,7,3,2,4,5,1] => {{1,6},{2,7},{3},{4},{5}} => 1
[.,[[[[.,.],.],.],[.,[.,.]]]] => [7,6,2,3,4,5,1] => {{1,7},{2,6},{3},{4},{5}} => 2
[.,[[[[.,.],.],.],[[.,.],.]]] => [6,7,2,3,4,5,1] => {{1,6},{2,7},{3},{4},{5}} => 1
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [7,5,4,3,2,6,1] => {{1,7},{2,5},{3,4},{6}} => 3
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [7,4,5,3,2,6,1] => {{1,7},{2,4},{3,5},{6}} => 2
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [7,5,3,4,2,6,1] => {{1,7},{2,5},{3},{4},{6}} => 2
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [7,4,3,5,2,6,1] => {{1,7},{2,4,5},{3},{6}} => 2
[.,[[.,[[[.,.],.],.]],[.,.]]] => [7,3,4,5,2,6,1] => {{1,7},{2,3,4,5},{6}} => 2
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [7,5,4,2,3,6,1] => {{1,7},{2,5},{3,4},{6}} => 3
[.,[[[.,.],[[.,.],.]],[.,.]]] => [7,4,5,2,3,6,1] => {{1,7},{2,4},{3,5},{6}} => 2
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [7,5,3,2,4,6,1] => {{1,7},{2,5},{3},{4},{6}} => 2
[.,[[[[.,.],.],[.,.]],[.,.]]] => [7,5,2,3,4,6,1] => {{1,7},{2,5},{3},{4},{6}} => 2
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [7,4,3,2,5,6,1] => {{1,7},{2,4},{3},{5},{6}} => 2
[.,[[[.,[[.,.],.]],.],[.,.]]] => [7,3,4,2,5,6,1] => {{1,7},{2,3,4},{5},{6}} => 2
[.,[[[[.,.],[.,.]],.],[.,.]]] => [7,4,2,3,5,6,1] => {{1,7},{2,4},{3},{5},{6}} => 2
[.,[[[[.,[.,.]],.],.],[.,.]]] => [7,3,2,4,5,6,1] => {{1,7},{2,3},{4},{5},{6}} => 2
[.,[[[[[.,.],.],.],.],[.,.]]] => [7,2,3,4,5,6,1] => {{1,7},{2},{3},{4},{5},{6}} => 1
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}} => 3
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => {{1,5},{2,6,7},{3,4}} => 2
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [6,4,5,3,2,7,1] => {{1,6,7},{2,4},{3,5}} => 2
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => {{1,5},{2,4},{3,6,7}} => 2
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => {{1,4},{2,5},{3,6,7}} => 1
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [6,5,3,4,2,7,1] => {{1,6,7},{2,5},{3},{4}} => 2
[.,[[.,[[.,.],[[.,.],.]]],.]] => [5,6,3,4,2,7,1] => {{1,5},{2,6,7},{3},{4}} => 1
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [6,4,3,5,2,7,1] => {{1,6,7},{2,4,5},{3}} => 2
[.,[[.,[[[.,.],.],[.,.]]],.]] => [6,3,4,5,2,7,1] => {{1,6,7},{2,3,4,5}} => 2
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => {{1,5},{2,4,6,7},{3}} => 2
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[.,[[.,[[[.,.],[.,.]],.]],.]] => [5,3,4,6,2,7,1] => {{1,5},{2,3,4,6,7}} => 2
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 2
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => {{1,3,5},{2,4,6,7}} => 1
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [6,5,4,2,3,7,1] => {{1,6,7},{2,5},{3,4}} => 3
[.,[[[.,.],[.,[[.,.],.]]],.]] => [5,6,4,2,3,7,1] => {{1,5},{2,6,7},{3,4}} => 2
[.,[[[.,.],[[.,.],[.,.]]],.]] => [6,4,5,2,3,7,1] => {{1,6,7},{2,4},{3,5}} => 2
[.,[[[.,.],[[.,[.,.]],.]],.]] => [5,4,6,2,3,7,1] => {{1,5},{2,4},{3,6,7}} => 2
[.,[[[.,.],[[[.,.],.],.]],.]] => [4,5,6,2,3,7,1] => {{1,4},{2,5},{3,6,7}} => 1
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [6,5,3,2,4,7,1] => {{1,6,7},{2,5},{3},{4}} => 2
[.,[[[.,[.,.]],[[.,.],.]],.]] => [5,6,3,2,4,7,1] => {{1,5},{2,6,7},{3},{4}} => 1
[.,[[[[.,.],.],[.,[.,.]]],.]] => [6,5,2,3,4,7,1] => {{1,6,7},{2,5},{3},{4}} => 2
[.,[[[[.,.],.],[[.,.],.]],.]] => [5,6,2,3,4,7,1] => {{1,5},{2,6,7},{3},{4}} => 1
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [6,4,3,2,5,7,1] => {{1,6,7},{2,4},{3},{5}} => 2
[.,[[[.,[[.,.],.]],[.,.]],.]] => [6,3,4,2,5,7,1] => {{1,6,7},{2,3,4},{5}} => 2
[.,[[[[.,.],[.,.]],[.,.]],.]] => [6,4,2,3,5,7,1] => {{1,6,7},{2,4},{3},{5}} => 2
[.,[[[[.,[.,.]],.],[.,.]],.]] => [6,3,2,4,5,7,1] => {{1,6,7},{2,3},{4},{5}} => 2
[.,[[[[[.,.],.],.],[.,.]],.]] => [6,2,3,4,5,7,1] => {{1,6,7},{2},{3},{4},{5}} => 1
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}} => 2
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => {{1,4},{2,5,6,7},{3}} => 1
[.,[[[.,[[.,.],[.,.]]],.],.]] => [5,3,4,2,6,7,1] => {{1,5,6,7},{2,3,4}} => 2
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => {{1,4},{2,3,5,6,7}} => 2
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 1
[.,[[[[.,.],[.,[.,.]]],.],.]] => [5,4,2,3,6,7,1] => {{1,5,6,7},{2,4},{3}} => 2
[.,[[[[.,.],[[.,.],.]],.],.]] => [4,5,2,3,6,7,1] => {{1,4},{2,5,6,7},{3}} => 1
[.,[[[[.,[.,.]],[.,.]],.],.]] => [5,3,2,4,6,7,1] => {{1,5,6,7},{2,3},{4}} => 2
[.,[[[[[.,.],.],[.,.]],.],.]] => [5,2,3,4,6,7,1] => {{1,5,6,7},{2},{3},{4}} => 1
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 2
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => {{1,3},{2,4,5,6,7}} => 1
[.,[[[[[.,.],[.,.]],.],.],.]] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 1
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 1
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [7,6,5,4,3,1,2] => {{1,7},{2,6},{3,5},{4}} => 3
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [6,7,5,4,3,1,2] => {{1,6},{2,7},{3,5},{4}} => 2
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [7,5,6,4,3,1,2] => {{1,7},{2,5},{3,6},{4}} => 2
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [6,5,7,4,3,1,2] => {{1,6},{2,5},{3,7},{4}} => 2
[[.,.],[.,[.,[[[.,.],.],.]]]] => [5,6,7,4,3,1,2] => {{1,5},{2,6},{3,7},{4}} => 1
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [7,6,4,5,3,1,2] => {{1,7},{2,6},{3,4,5}} => 3
[[.,.],[.,[[.,.],[[.,.],.]]]] => [6,7,4,5,3,1,2] => {{1,6},{2,7},{3,4,5}} => 2
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [7,5,4,6,3,1,2] => {{1,7},{2,5},{3,4,6}} => 3
[[.,.],[.,[[[.,.],.],[.,.]]]] => [7,4,5,6,3,1,2] => {{1,7},{2,4,6},{3,5}} => 2
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [6,5,4,7,3,1,2] => {{1,6},{2,5},{3,4,7}} => 3
[[.,.],[.,[[.,[[.,.],.]],.]]] => [5,6,4,7,3,1,2] => {{1,5},{2,6},{3,4,7}} => 2
[[.,.],[.,[[[.,.],[.,.]],.]]] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 2
[[.,.],[.,[[[.,[.,.]],.],.]]] => [5,4,6,7,3,1,2] => {{1,5},{2,4,7},{3,6}} => 2
[[.,.],[.,[[[[.,.],.],.],.]]] => [4,5,6,7,3,1,2] => {{1,4,7},{2,5},{3,6}} => 1
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [7,6,5,3,4,1,2] => {{1,7},{2,6},{3,5},{4}} => 3
[[.,.],[[.,.],[.,[[.,.],.]]]] => [6,7,5,3,4,1,2] => {{1,6},{2,7},{3,5},{4}} => 2
[[.,.],[[.,.],[[.,.],[.,.]]]] => [7,5,6,3,4,1,2] => {{1,7},{2,5},{3,6},{4}} => 2
[[.,.],[[.,.],[[.,[.,.]],.]]] => [6,5,7,3,4,1,2] => {{1,6},{2,5},{3,7},{4}} => 2
[[.,.],[[.,.],[[[.,.],.],.]]] => [5,6,7,3,4,1,2] => {{1,5},{2,6},{3,7},{4}} => 1
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [7,6,4,3,5,1,2] => {{1,7},{2,6},{3,4},{5}} => 3
[[.,.],[[.,[.,.]],[[.,.],.]]] => [6,7,4,3,5,1,2] => {{1,6},{2,7},{3,4},{5}} => 2
[[.,.],[[[.,.],.],[.,[.,.]]]] => [7,6,3,4,5,1,2] => {{1,7},{2,6},{3},{4},{5}} => 2
[[.,.],[[[.,.],.],[[.,.],.]]] => [6,7,3,4,5,1,2] => {{1,6},{2,7},{3},{4},{5}} => 1
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [7,5,4,3,6,1,2] => {{1,7},{2,5,6},{3,4}} => 3
[[.,.],[[.,[[.,.],.]],[.,.]]] => [7,4,5,3,6,1,2] => {{1,7},{2,4},{3,5,6}} => 2
[[.,.],[[[.,.],[.,.]],[.,.]]] => [7,5,3,4,6,1,2] => {{1,7},{2,5,6},{3},{4}} => 2
[[.,.],[[[.,[.,.]],.],[.,.]]] => [7,4,3,5,6,1,2] => {{1,7},{2,4,5,6},{3}} => 2
[[.,.],[[[[.,.],.],.],[.,.]]] => [7,3,4,5,6,1,2] => {{1,7},{2,3,4,5,6}} => 2
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [6,5,4,3,7,1,2] => {{1,6},{2,5,7},{3,4}} => 3
[[.,.],[[.,[.,[[.,.],.]]],.]] => [5,6,4,3,7,1,2] => {{1,5,7},{2,6},{3,4}} => 2
[[.,.],[[.,[[.,.],[.,.]]],.]] => [6,4,5,3,7,1,2] => {{1,6},{2,4},{3,5,7}} => 2
[[.,.],[[.,[[.,[.,.]],.]],.]] => [5,4,6,3,7,1,2] => {{1,5,7},{2,4},{3,6}} => 2
[[.,.],[[.,[[[.,.],.],.]],.]] => [4,5,6,3,7,1,2] => {{1,4},{2,5,7},{3,6}} => 1
[[.,.],[[[.,.],[.,[.,.]]],.]] => [6,5,3,4,7,1,2] => {{1,6},{2,5,7},{3},{4}} => 2
[[.,.],[[[.,.],[[.,.],.]],.]] => [5,6,3,4,7,1,2] => {{1,5,7},{2,6},{3},{4}} => 1
[[.,.],[[[.,[.,.]],[.,.]],.]] => [6,4,3,5,7,1,2] => {{1,6},{2,4,5,7},{3}} => 2
[[.,.],[[[[.,.],.],[.,.]],.]] => [6,3,4,5,7,1,2] => {{1,6},{2,3,4,5,7}} => 2
[[.,.],[[[.,[.,[.,.]]],.],.]] => [5,4,3,6,7,1,2] => {{1,5,7},{2,4,6},{3}} => 2
[[.,.],[[[.,[[.,.],.]],.],.]] => [4,5,3,6,7,1,2] => {{1,4,6},{2,5,7},{3}} => 1
[[.,.],[[[[.,.],[.,.]],.],.]] => [5,3,4,6,7,1,2] => {{1,5,7},{2,3,4,6}} => 2
[[.,.],[[[[.,[.,.]],.],.],.]] => [4,3,5,6,7,1,2] => {{1,4,6},{2,3,5,7}} => 2
[[.,.],[[[[[.,.],.],.],.],.]] => [3,4,5,6,7,1,2] => {{1,3,5,7},{2,4,6}} => 1
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [7,6,5,4,2,1,3] => {{1,7},{2,6},{3,5},{4}} => 3
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [6,7,5,4,2,1,3] => {{1,6},{2,7},{3,5},{4}} => 2
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [7,5,6,4,2,1,3] => {{1,7},{2,5},{3,6},{4}} => 2
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [6,5,7,4,2,1,3] => {{1,6},{2,5},{3,7},{4}} => 2
[[.,[.,.]],[.,[[[.,.],.],.]]] => [5,6,7,4,2,1,3] => {{1,5},{2,6},{3,7},{4}} => 1
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [7,6,4,5,2,1,3] => {{1,7},{2,6},{3,4,5}} => 3
[[.,[.,.]],[[.,.],[[.,.],.]]] => [6,7,4,5,2,1,3] => {{1,6},{2,7},{3,4,5}} => 2
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [7,5,4,6,2,1,3] => {{1,7},{2,5},{3,4,6}} => 3
[[.,[.,.]],[[[.,.],.],[.,.]]] => [7,4,5,6,2,1,3] => {{1,7},{2,4,6},{3,5}} => 2
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [6,5,4,7,2,1,3] => {{1,6},{2,5},{3,4,7}} => 3
[[.,[.,.]],[[.,[[.,.],.]],.]] => [5,6,4,7,2,1,3] => {{1,5},{2,6},{3,4,7}} => 2
[[.,[.,.]],[[[.,.],[.,.]],.]] => [6,4,5,7,2,1,3] => {{1,6},{2,4,7},{3,5}} => 2
[[.,[.,.]],[[[.,[.,.]],.],.]] => [5,4,6,7,2,1,3] => {{1,5},{2,4,7},{3,6}} => 2
[[.,[.,.]],[[[[.,.],.],.],.]] => [4,5,6,7,2,1,3] => {{1,4,7},{2,5},{3,6}} => 1
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [7,6,5,4,1,2,3] => {{1,7},{2,6},{3,5},{4}} => 3
[[[.,.],.],[.,[.,[[.,.],.]]]] => [6,7,5,4,1,2,3] => {{1,6},{2,7},{3,5},{4}} => 2
[[[.,.],.],[.,[[.,.],[.,.]]]] => [7,5,6,4,1,2,3] => {{1,7},{2,5},{3,6},{4}} => 2
[[[.,.],.],[.,[[.,[.,.]],.]]] => [6,5,7,4,1,2,3] => {{1,6},{2,5},{3,7},{4}} => 2
[[[.,.],.],[.,[[[.,.],.],.]]] => [5,6,7,4,1,2,3] => {{1,5},{2,6},{3,7},{4}} => 1
[[[.,.],.],[[.,.],[.,[.,.]]]] => [7,6,4,5,1,2,3] => {{1,7},{2,6},{3,4,5}} => 3
[[[.,.],.],[[.,.],[[.,.],.]]] => [6,7,4,5,1,2,3] => {{1,6},{2,7},{3,4,5}} => 2
[[[.,.],.],[[.,[.,.]],[.,.]]] => [7,5,4,6,1,2,3] => {{1,7},{2,5},{3,4,6}} => 3
[[[.,.],.],[[[.,.],.],[.,.]]] => [7,4,5,6,1,2,3] => {{1,7},{2,4,6},{3,5}} => 2
[[[.,.],.],[[.,[.,[.,.]]],.]] => [6,5,4,7,1,2,3] => {{1,6},{2,5},{3,4,7}} => 3
[[[.,.],.],[[.,[[.,.],.]],.]] => [5,6,4,7,1,2,3] => {{1,5},{2,6},{3,4,7}} => 2
[[[.,.],.],[[[.,.],[.,.]],.]] => [6,4,5,7,1,2,3] => {{1,6},{2,4,7},{3,5}} => 2
[[[.,.],.],[[[.,[.,.]],.],.]] => [5,4,6,7,1,2,3] => {{1,5},{2,4,7},{3,6}} => 2
[[[.,.],.],[[[[.,.],.],.],.]] => [4,5,6,7,1,2,3] => {{1,4,7},{2,5},{3,6}} => 1
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [7,6,5,3,2,1,4] => {{1,7},{2,6},{3,5},{4}} => 3
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [6,7,5,3,2,1,4] => {{1,6},{2,7},{3,5},{4}} => 2
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [7,5,6,3,2,1,4] => {{1,7},{2,5},{3,6},{4}} => 2
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [6,5,7,3,2,1,4] => {{1,6},{2,5},{3,7},{4}} => 2
[[.,[.,[.,.]]],[[[.,.],.],.]] => [5,6,7,3,2,1,4] => {{1,5},{2,6},{3,7},{4}} => 1
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [7,6,5,2,3,1,4] => {{1,7},{2,6},{3,5},{4}} => 3
[[.,[[.,.],.]],[.,[[.,.],.]]] => [6,7,5,2,3,1,4] => {{1,6},{2,7},{3,5},{4}} => 2
[[.,[[.,.],.]],[[.,.],[.,.]]] => [7,5,6,2,3,1,4] => {{1,7},{2,5},{3,6},{4}} => 2
[[.,[[.,.],.]],[[.,[.,.]],.]] => [6,5,7,2,3,1,4] => {{1,6},{2,5},{3,7},{4}} => 2
[[.,[[.,.],.]],[[[.,.],.],.]] => [5,6,7,2,3,1,4] => {{1,5},{2,6},{3,7},{4}} => 1
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [7,6,5,3,1,2,4] => {{1,7},{2,6},{3,5},{4}} => 3
[[[.,.],[.,.]],[.,[[.,.],.]]] => [6,7,5,3,1,2,4] => {{1,6},{2,7},{3,5},{4}} => 2
[[[.,.],[.,.]],[[.,.],[.,.]]] => [7,5,6,3,1,2,4] => {{1,7},{2,5},{3,6},{4}} => 2
[[[.,.],[.,.]],[[.,[.,.]],.]] => [6,5,7,3,1,2,4] => {{1,6},{2,5},{3,7},{4}} => 2
[[[.,.],[.,.]],[[[.,.],.],.]] => [5,6,7,3,1,2,4] => {{1,5},{2,6},{3,7},{4}} => 1
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [7,6,5,2,1,3,4] => {{1,7},{2,6},{3,5},{4}} => 3
[[[.,[.,.]],.],[.,[[.,.],.]]] => [6,7,5,2,1,3,4] => {{1,6},{2,7},{3,5},{4}} => 2
[[[.,[.,.]],.],[[.,.],[.,.]]] => [7,5,6,2,1,3,4] => {{1,7},{2,5},{3,6},{4}} => 2
[[[.,[.,.]],.],[[.,[.,.]],.]] => [6,5,7,2,1,3,4] => {{1,6},{2,5},{3,7},{4}} => 2
[[[.,[.,.]],.],[[[.,.],.],.]] => [5,6,7,2,1,3,4] => {{1,5},{2,6},{3,7},{4}} => 1
[[[[.,.],.],.],[.,[.,[.,.]]]] => [7,6,5,1,2,3,4] => {{1,7},{2,6},{3,5},{4}} => 3
[[[[.,.],.],.],[.,[[.,.],.]]] => [6,7,5,1,2,3,4] => {{1,6},{2,7},{3,5},{4}} => 2
[[[[.,.],.],.],[[.,.],[.,.]]] => [7,5,6,1,2,3,4] => {{1,7},{2,5},{3,6},{4}} => 2
[[[[.,.],.],.],[[.,[.,.]],.]] => [6,5,7,1,2,3,4] => {{1,6},{2,5},{3,7},{4}} => 2
[[[[.,.],.],.],[[[.,.],.],.]] => [5,6,7,1,2,3,4] => {{1,5},{2,6},{3,7},{4}} => 1
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [7,6,4,3,2,1,5] => {{1,7},{2,6},{3,4},{5}} => 3
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [6,7,4,3,2,1,5] => {{1,6},{2,7},{3,4},{5}} => 2
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [7,6,3,4,2,1,5] => {{1,7},{2,6},{3},{4},{5}} => 2
[[.,[.,[[.,.],.]]],[[.,.],.]] => [6,7,3,4,2,1,5] => {{1,6},{2,7},{3},{4},{5}} => 1
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [7,6,4,2,3,1,5] => {{1,7},{2,6},{3,4},{5}} => 3
[[.,[[.,.],[.,.]]],[[.,.],.]] => [6,7,4,2,3,1,5] => {{1,6},{2,7},{3,4},{5}} => 2
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [7,6,3,2,4,1,5] => {{1,7},{2,6},{3},{4},{5}} => 2
[[.,[[.,[.,.]],.]],[[.,.],.]] => [6,7,3,2,4,1,5] => {{1,6},{2,7},{3},{4},{5}} => 1
[[.,[[[.,.],.],.]],[.,[.,.]]] => [7,6,2,3,4,1,5] => {{1,7},{2,6},{3},{4},{5}} => 2
[[.,[[[.,.],.],.]],[[.,.],.]] => [6,7,2,3,4,1,5] => {{1,6},{2,7},{3},{4},{5}} => 1
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [7,6,4,3,1,2,5] => {{1,7},{2,6},{3,4},{5}} => 3
[[[.,.],[.,[.,.]]],[[.,.],.]] => [6,7,4,3,1,2,5] => {{1,6},{2,7},{3,4},{5}} => 2
[[[.,.],[[.,.],.]],[.,[.,.]]] => [7,6,3,4,1,2,5] => {{1,7},{2,6},{3},{4},{5}} => 2
[[[.,.],[[.,.],.]],[[.,.],.]] => [6,7,3,4,1,2,5] => {{1,6},{2,7},{3},{4},{5}} => 1
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [7,6,4,2,1,3,5] => {{1,7},{2,6},{3,4},{5}} => 3
[[[.,[.,.]],[.,.]],[[.,.],.]] => [6,7,4,2,1,3,5] => {{1,6},{2,7},{3,4},{5}} => 2
[[[[.,.],.],[.,.]],[.,[.,.]]] => [7,6,4,1,2,3,5] => {{1,7},{2,6},{3,4},{5}} => 3
[[[[.,.],.],[.,.]],[[.,.],.]] => [6,7,4,1,2,3,5] => {{1,6},{2,7},{3,4},{5}} => 2
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [7,6,3,2,1,4,5] => {{1,7},{2,6},{3},{4},{5}} => 2
[[[.,[.,[.,.]]],.],[[.,.],.]] => [6,7,3,2,1,4,5] => {{1,6},{2,7},{3},{4},{5}} => 1
[[[.,[[.,.],.]],.],[.,[.,.]]] => [7,6,2,3,1,4,5] => {{1,7},{2,6},{3},{4},{5}} => 2
[[[.,[[.,.],.]],.],[[.,.],.]] => [6,7,2,3,1,4,5] => {{1,6},{2,7},{3},{4},{5}} => 1
[[[[.,.],[.,.]],.],[.,[.,.]]] => [7,6,3,1,2,4,5] => {{1,7},{2,6},{3},{4},{5}} => 2
[[[[.,.],[.,.]],.],[[.,.],.]] => [6,7,3,1,2,4,5] => {{1,6},{2,7},{3},{4},{5}} => 1
[[[[.,[.,.]],.],.],[.,[.,.]]] => [7,6,2,1,3,4,5] => {{1,7},{2,6},{3},{4},{5}} => 2
[[[[.,[.,.]],.],.],[[.,.],.]] => [6,7,2,1,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 1
[[[[[.,.],.],.],.],[.,[.,.]]] => [7,6,1,2,3,4,5] => {{1,7},{2,6},{3},{4},{5}} => 2
[[[[[.,.],.],.],.],[[.,.],.]] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 1
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [7,5,4,3,2,1,6] => {{1,7},{2,5},{3,4},{6}} => 3
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [7,4,5,3,2,1,6] => {{1,7},{2,4},{3,5},{6}} => 2
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [7,5,3,4,2,1,6] => {{1,7},{2,5},{3},{4},{6}} => 2
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [7,4,3,5,2,1,6] => {{1,7},{2,4,5},{3},{6}} => 2
[[.,[.,[[[.,.],.],.]]],[.,.]] => [7,3,4,5,2,1,6] => {{1,7},{2,3,4,5},{6}} => 2
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [7,5,4,2,3,1,6] => {{1,7},{2,5},{3,4},{6}} => 3
[[.,[[.,.],[[.,.],.]]],[.,.]] => [7,4,5,2,3,1,6] => {{1,7},{2,4},{3,5},{6}} => 2
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [7,5,3,2,4,1,6] => {{1,7},{2,5},{3},{4},{6}} => 2
[[.,[[[.,.],.],[.,.]]],[.,.]] => [7,5,2,3,4,1,6] => {{1,7},{2,5},{3},{4},{6}} => 2
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [7,4,3,2,5,1,6] => {{1,7},{2,4},{3},{5},{6}} => 2
[[.,[[.,[[.,.],.]],.]],[.,.]] => [7,3,4,2,5,1,6] => {{1,7},{2,3,4},{5},{6}} => 2
[[.,[[[.,.],[.,.]],.]],[.,.]] => [7,4,2,3,5,1,6] => {{1,7},{2,4},{3},{5},{6}} => 2
[[.,[[[.,[.,.]],.],.]],[.,.]] => [7,3,2,4,5,1,6] => {{1,7},{2,3},{4},{5},{6}} => 2
[[.,[[[[.,.],.],.],.]],[.,.]] => [7,2,3,4,5,1,6] => {{1,7},{2},{3},{4},{5},{6}} => 1
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [7,5,4,3,1,2,6] => {{1,7},{2,5},{3,4},{6}} => 3
[[[.,.],[.,[[.,.],.]]],[.,.]] => [7,4,5,3,1,2,6] => {{1,7},{2,4},{3,5},{6}} => 2
[[[.,.],[[.,.],[.,.]]],[.,.]] => [7,5,3,4,1,2,6] => {{1,7},{2,5},{3},{4},{6}} => 2
[[[.,.],[[.,[.,.]],.]],[.,.]] => [7,4,3,5,1,2,6] => {{1,7},{2,4,5},{3},{6}} => 2
[[[.,.],[[[.,.],.],.]],[.,.]] => [7,3,4,5,1,2,6] => {{1,7},{2,3,4,5},{6}} => 2
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [7,5,4,2,1,3,6] => {{1,7},{2,5},{3,4},{6}} => 3
[[[.,[.,.]],[[.,.],.]],[.,.]] => [7,4,5,2,1,3,6] => {{1,7},{2,4},{3,5},{6}} => 2
[[[[.,.],.],[.,[.,.]]],[.,.]] => [7,5,4,1,2,3,6] => {{1,7},{2,5},{3,4},{6}} => 3
[[[[.,.],.],[[.,.],.]],[.,.]] => [7,4,5,1,2,3,6] => {{1,7},{2,4},{3,5},{6}} => 2
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [7,5,3,2,1,4,6] => {{1,7},{2,5},{3},{4},{6}} => 2
[[[.,[[.,.],.]],[.,.]],[.,.]] => [7,5,2,3,1,4,6] => {{1,7},{2,5},{3},{4},{6}} => 2
[[[[.,.],[.,.]],[.,.]],[.,.]] => [7,5,3,1,2,4,6] => {{1,7},{2,5},{3},{4},{6}} => 2
[[[[.,[.,.]],.],[.,.]],[.,.]] => [7,5,2,1,3,4,6] => {{1,7},{2,5},{3},{4},{6}} => 2
[[[[[.,.],.],.],[.,.]],[.,.]] => [7,5,1,2,3,4,6] => {{1,7},{2,5},{3},{4},{6}} => 2
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [7,4,3,2,1,5,6] => {{1,7},{2,4},{3},{5},{6}} => 2
[[[.,[.,[[.,.],.]]],.],[.,.]] => [7,3,4,2,1,5,6] => {{1,7},{2,3,4},{5},{6}} => 2
[[[.,[[.,.],[.,.]]],.],[.,.]] => [7,4,2,3,1,5,6] => {{1,7},{2,4},{3},{5},{6}} => 2
[[[.,[[.,[.,.]],.]],.],[.,.]] => [7,3,2,4,1,5,6] => {{1,7},{2,3},{4},{5},{6}} => 2
[[[.,[[[.,.],.],.]],.],[.,.]] => [7,2,3,4,1,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 1
[[[[.,.],[.,[.,.]]],.],[.,.]] => [7,4,3,1,2,5,6] => {{1,7},{2,4},{3},{5},{6}} => 2
[[[[.,.],[[.,.],.]],.],[.,.]] => [7,3,4,1,2,5,6] => {{1,7},{2,3,4},{5},{6}} => 2
[[[[.,[.,.]],[.,.]],.],[.,.]] => [7,4,2,1,3,5,6] => {{1,7},{2,4},{3},{5},{6}} => 2
[[[[[.,.],.],[.,.]],.],[.,.]] => [7,4,1,2,3,5,6] => {{1,7},{2,4},{3},{5},{6}} => 2
[[[[.,[.,[.,.]]],.],.],[.,.]] => [7,3,2,1,4,5,6] => {{1,7},{2,3},{4},{5},{6}} => 2
[[[[.,[[.,.],.]],.],.],[.,.]] => [7,2,3,1,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 1
[[[[[.,.],[.,.]],.],.],[.,.]] => [7,3,1,2,4,5,6] => {{1,7},{2,3},{4},{5},{6}} => 2
[[[[[.,[.,.]],.],.],.],[.,.]] => [7,2,1,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 1
[[[[[[.,.],.],.],.],.],[.,.]] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => {{1,6},{2,5},{3,4},{7}} => 3
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => {{1,5},{2,6},{3,4},{7}} => 2
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [6,4,5,3,2,1,7] => {{1,6},{2,4},{3,5},{7}} => 2
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => {{1,5},{2,4},{3,6},{7}} => 2
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => {{1,4},{2,5},{3,6},{7}} => 1
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [6,5,3,4,2,1,7] => {{1,6},{2,5},{3},{4},{7}} => 2
[[.,[.,[[.,.],[[.,.],.]]]],.] => [5,6,3,4,2,1,7] => {{1,5},{2,6},{3},{4},{7}} => 1
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [6,4,3,5,2,1,7] => {{1,6},{2,4,5},{3},{7}} => 2
[[.,[.,[[[.,.],.],[.,.]]]],.] => [6,3,4,5,2,1,7] => {{1,6},{2,3,4,5},{7}} => 2
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => {{1,5},{2,4,6},{3},{7}} => 2
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => {{1,4,6},{2,5},{3},{7}} => 1
[[.,[.,[[[.,.],[.,.]],.]]],.] => [5,3,4,6,2,1,7] => {{1,5},{2,3,4,6},{7}} => 2
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 2
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => {{1,3,5},{2,4,6},{7}} => 1
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [6,5,4,2,3,1,7] => {{1,6},{2,5},{3,4},{7}} => 3
[[.,[[.,.],[.,[[.,.],.]]]],.] => [5,6,4,2,3,1,7] => {{1,5},{2,6},{3,4},{7}} => 2
[[.,[[.,.],[[.,.],[.,.]]]],.] => [6,4,5,2,3,1,7] => {{1,6},{2,4},{3,5},{7}} => 2
[[.,[[.,.],[[.,[.,.]],.]]],.] => [5,4,6,2,3,1,7] => {{1,5},{2,4},{3,6},{7}} => 2
[[.,[[.,.],[[[.,.],.],.]]],.] => [4,5,6,2,3,1,7] => {{1,4},{2,5},{3,6},{7}} => 1
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [6,5,3,2,4,1,7] => {{1,6},{2,5},{3},{4},{7}} => 2
[[.,[[.,[.,.]],[[.,.],.]]],.] => [5,6,3,2,4,1,7] => {{1,5},{2,6},{3},{4},{7}} => 1
[[.,[[[.,.],.],[.,[.,.]]]],.] => [6,5,2,3,4,1,7] => {{1,6},{2,5},{3},{4},{7}} => 2
[[.,[[[.,.],.],[[.,.],.]]],.] => [5,6,2,3,4,1,7] => {{1,5},{2,6},{3},{4},{7}} => 1
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [6,4,3,2,5,1,7] => {{1,6},{2,4},{3},{5},{7}} => 2
[[.,[[.,[[.,.],.]],[.,.]]],.] => [6,3,4,2,5,1,7] => {{1,6},{2,3,4},{5},{7}} => 2
[[.,[[[.,.],[.,.]],[.,.]]],.] => [6,4,2,3,5,1,7] => {{1,6},{2,4},{3},{5},{7}} => 2
[[.,[[[.,[.,.]],.],[.,.]]],.] => [6,3,2,4,5,1,7] => {{1,6},{2,3},{4},{5},{7}} => 2
[[.,[[[[.,.],.],.],[.,.]]],.] => [6,2,3,4,5,1,7] => {{1,6},{2},{3},{4},{5},{7}} => 1
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => {{1,5,6},{2,4},{3},{7}} => 2
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => {{1,4},{2,5,6},{3},{7}} => 1
[[.,[[.,[[.,.],[.,.]]],.]],.] => [5,3,4,2,6,1,7] => {{1,5,6},{2,3,4},{7}} => 2
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => {{1,4},{2,3,5,6},{7}} => 2
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => {{1,3,5,6},{2,4},{7}} => 1
[[.,[[[.,.],[.,[.,.]]],.]],.] => [5,4,2,3,6,1,7] => {{1,5,6},{2,4},{3},{7}} => 2
[[.,[[[.,.],[[.,.],.]],.]],.] => [4,5,2,3,6,1,7] => {{1,4},{2,5,6},{3},{7}} => 1
[[.,[[[.,[.,.]],[.,.]],.]],.] => [5,3,2,4,6,1,7] => {{1,5,6},{2,3},{4},{7}} => 2
[[.,[[[[.,.],.],[.,.]],.]],.] => [5,2,3,4,6,1,7] => {{1,5,6},{2},{3},{4},{7}} => 1
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => {{1,4,5,6},{2,3},{7}} => 2
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => {{1,3},{2,4,5,6},{7}} => 1
[[.,[[[[.,.],[.,.]],.],.]],.] => [4,2,3,5,6,1,7] => {{1,4,5,6},{2},{3},{7}} => 1
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => {{1,3,4,5,6},{2},{7}} => 1
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => 1
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [6,5,4,3,1,2,7] => {{1,6},{2,5},{3,4},{7}} => 3
[[[.,.],[.,[.,[[.,.],.]]]],.] => [5,6,4,3,1,2,7] => {{1,5},{2,6},{3,4},{7}} => 2
[[[.,.],[.,[[.,.],[.,.]]]],.] => [6,4,5,3,1,2,7] => {{1,6},{2,4},{3,5},{7}} => 2
[[[.,.],[.,[[.,[.,.]],.]]],.] => [5,4,6,3,1,2,7] => {{1,5},{2,4},{3,6},{7}} => 2
[[[.,.],[.,[[[.,.],.],.]]],.] => [4,5,6,3,1,2,7] => {{1,4},{2,5},{3,6},{7}} => 1
[[[.,.],[[.,.],[.,[.,.]]]],.] => [6,5,3,4,1,2,7] => {{1,6},{2,5},{3},{4},{7}} => 2
[[[.,.],[[.,.],[[.,.],.]]],.] => [5,6,3,4,1,2,7] => {{1,5},{2,6},{3},{4},{7}} => 1
[[[.,.],[[.,[.,.]],[.,.]]],.] => [6,4,3,5,1,2,7] => {{1,6},{2,4,5},{3},{7}} => 2
[[[.,.],[[[.,.],.],[.,.]]],.] => [6,3,4,5,1,2,7] => {{1,6},{2,3,4,5},{7}} => 2
[[[.,.],[[.,[.,[.,.]]],.]],.] => [5,4,3,6,1,2,7] => {{1,5},{2,4,6},{3},{7}} => 2
[[[.,.],[[.,[[.,.],.]],.]],.] => [4,5,3,6,1,2,7] => {{1,4,6},{2,5},{3},{7}} => 1
[[[.,.],[[[.,.],[.,.]],.]],.] => [5,3,4,6,1,2,7] => {{1,5},{2,3,4,6},{7}} => 2
[[[.,.],[[[.,[.,.]],.],.]],.] => [4,3,5,6,1,2,7] => {{1,4,6},{2,3,5},{7}} => 2
[[[.,.],[[[[.,.],.],.],.]],.] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [6,5,4,2,1,3,7] => {{1,6},{2,5},{3,4},{7}} => 3
[[[.,[.,.]],[.,[[.,.],.]]],.] => [5,6,4,2,1,3,7] => {{1,5},{2,6},{3,4},{7}} => 2
[[[.,[.,.]],[[.,.],[.,.]]],.] => [6,4,5,2,1,3,7] => {{1,6},{2,4},{3,5},{7}} => 2
[[[.,[.,.]],[[.,[.,.]],.]],.] => [5,4,6,2,1,3,7] => {{1,5},{2,4},{3,6},{7}} => 2
[[[.,[.,.]],[[[.,.],.],.]],.] => [4,5,6,2,1,3,7] => {{1,4},{2,5},{3,6},{7}} => 1
[[[[.,.],.],[.,[.,[.,.]]]],.] => [6,5,4,1,2,3,7] => {{1,6},{2,5},{3,4},{7}} => 3
[[[[.,.],.],[.,[[.,.],.]]],.] => [5,6,4,1,2,3,7] => {{1,5},{2,6},{3,4},{7}} => 2
[[[[.,.],.],[[.,.],[.,.]]],.] => [6,4,5,1,2,3,7] => {{1,6},{2,4},{3,5},{7}} => 2
[[[[.,.],.],[[.,[.,.]],.]],.] => [5,4,6,1,2,3,7] => {{1,5},{2,4},{3,6},{7}} => 2
[[[[.,.],.],[[[.,.],.],.]],.] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [6,5,3,2,1,4,7] => {{1,6},{2,5},{3},{4},{7}} => 2
[[[.,[.,[.,.]]],[[.,.],.]],.] => [5,6,3,2,1,4,7] => {{1,5},{2,6},{3},{4},{7}} => 1
[[[.,[[.,.],.]],[.,[.,.]]],.] => [6,5,2,3,1,4,7] => {{1,6},{2,5},{3},{4},{7}} => 2
[[[.,[[.,.],.]],[[.,.],.]],.] => [5,6,2,3,1,4,7] => {{1,5},{2,6},{3},{4},{7}} => 1
[[[[.,.],[.,.]],[.,[.,.]]],.] => [6,5,3,1,2,4,7] => {{1,6},{2,5},{3},{4},{7}} => 2
[[[[.,.],[.,.]],[[.,.],.]],.] => [5,6,3,1,2,4,7] => {{1,5},{2,6},{3},{4},{7}} => 1
[[[[.,[.,.]],.],[.,[.,.]]],.] => [6,5,2,1,3,4,7] => {{1,6},{2,5},{3},{4},{7}} => 2
[[[[.,[.,.]],.],[[.,.],.]],.] => [5,6,2,1,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 1
[[[[[.,.],.],.],[.,[.,.]]],.] => [6,5,1,2,3,4,7] => {{1,6},{2,5},{3},{4},{7}} => 2
[[[[[.,.],.],.],[[.,.],.]],.] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 1
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [6,4,3,2,1,5,7] => {{1,6},{2,4},{3},{5},{7}} => 2
[[[.,[.,[[.,.],.]]],[.,.]],.] => [6,3,4,2,1,5,7] => {{1,6},{2,3,4},{5},{7}} => 2
[[[.,[[.,.],[.,.]]],[.,.]],.] => [6,4,2,3,1,5,7] => {{1,6},{2,4},{3},{5},{7}} => 2
[[[.,[[.,[.,.]],.]],[.,.]],.] => [6,3,2,4,1,5,7] => {{1,6},{2,3},{4},{5},{7}} => 2
[[[.,[[[.,.],.],.]],[.,.]],.] => [6,2,3,4,1,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 1
[[[[.,.],[.,[.,.]]],[.,.]],.] => [6,4,3,1,2,5,7] => {{1,6},{2,4},{3},{5},{7}} => 2
[[[[.,.],[[.,.],.]],[.,.]],.] => [6,3,4,1,2,5,7] => {{1,6},{2,3,4},{5},{7}} => 2
[[[[.,[.,.]],[.,.]],[.,.]],.] => [6,4,2,1,3,5,7] => {{1,6},{2,4},{3},{5},{7}} => 2
[[[[[.,.],.],[.,.]],[.,.]],.] => [6,4,1,2,3,5,7] => {{1,6},{2,4},{3},{5},{7}} => 2
[[[[.,[.,[.,.]]],.],[.,.]],.] => [6,3,2,1,4,5,7] => {{1,6},{2,3},{4},{5},{7}} => 2
[[[[.,[[.,.],.]],.],[.,.]],.] => [6,2,3,1,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 1
[[[[[.,.],[.,.]],.],[.,.]],.] => [6,3,1,2,4,5,7] => {{1,6},{2,3},{4},{5},{7}} => 2
[[[[[.,[.,.]],.],.],[.,.]],.] => [6,2,1,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 1
[[[[[[.,.],.],.],.],[.,.]],.] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 1
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => {{1,5},{2,4},{3},{6},{7}} => 2
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => {{1,4},{2,5},{3},{6},{7}} => 1
[[[.,[.,[[.,.],[.,.]]]],.],.] => [5,3,4,2,1,6,7] => {{1,5},{2,3,4},{6},{7}} => 2
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => {{1,4},{2,3,5},{6},{7}} => 2
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => {{1,3,5},{2,4},{6},{7}} => 1
[[[.,[[.,.],[.,[.,.]]]],.],.] => [5,4,2,3,1,6,7] => {{1,5},{2,4},{3},{6},{7}} => 2
[[[.,[[.,.],[[.,.],.]]],.],.] => [4,5,2,3,1,6,7] => {{1,4},{2,5},{3},{6},{7}} => 1
[[[.,[[.,[.,.]],[.,.]]],.],.] => [5,3,2,4,1,6,7] => {{1,5},{2,3},{4},{6},{7}} => 2
[[[.,[[[.,.],.],[.,.]]],.],.] => [5,2,3,4,1,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 1
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => {{1,4,5},{2,3},{6},{7}} => 2
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => {{1,3},{2,4,5},{6},{7}} => 1
[[[.,[[[.,.],[.,.]],.]],.],.] => [4,2,3,5,1,6,7] => {{1,4,5},{2},{3},{6},{7}} => 1
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => {{1,3,4,5},{2},{6},{7}} => 1
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => 1
[[[[.,.],[.,[.,[.,.]]]],.],.] => [5,4,3,1,2,6,7] => {{1,5},{2,4},{3},{6},{7}} => 2
[[[[.,.],[.,[[.,.],.]]],.],.] => [4,5,3,1,2,6,7] => {{1,4},{2,5},{3},{6},{7}} => 1
[[[[.,.],[[.,.],[.,.]]],.],.] => [5,3,4,1,2,6,7] => {{1,5},{2,3,4},{6},{7}} => 2
[[[[.,.],[[.,[.,.]],.]],.],.] => [4,3,5,1,2,6,7] => {{1,4},{2,3,5},{6},{7}} => 2
[[[[.,.],[[[.,.],.],.]],.],.] => [3,4,5,1,2,6,7] => {{1,3,5},{2,4},{6},{7}} => 1
[[[[.,[.,.]],[.,[.,.]]],.],.] => [5,4,2,1,3,6,7] => {{1,5},{2,4},{3},{6},{7}} => 2
[[[[.,[.,.]],[[.,.],.]],.],.] => [4,5,2,1,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 1
[[[[[.,.],.],[.,[.,.]]],.],.] => [5,4,1,2,3,6,7] => {{1,5},{2,4},{3},{6},{7}} => 2
[[[[[.,.],.],[[.,.],.]],.],.] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] => [5,3,2,1,4,6,7] => {{1,5},{2,3},{4},{6},{7}} => 2
[[[[.,[[.,.],.]],[.,.]],.],.] => [5,2,3,1,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 1
[[[[[.,.],[.,.]],[.,.]],.],.] => [5,3,1,2,4,6,7] => {{1,5},{2,3},{4},{6},{7}} => 2
[[[[[.,[.,.]],.],[.,.]],.],.] => [5,2,1,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 1
[[[[[[.,.],.],.],[.,.]],.],.] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 1
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => {{1,4},{2,3},{5},{6},{7}} => 2
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 1
[[[[.,[[.,.],[.,.]]],.],.],.] => [4,2,3,1,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 1
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => {{1,3,4},{2},{5},{6},{7}} => 1
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => 1
[[[[[.,.],[.,[.,.]]],.],.],.] => [4,3,1,2,5,6,7] => {{1,4},{2,3},{5},{6},{7}} => 2
[[[[[.,.],[[.,.],.]],.],.],.] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 1
[[[[[.,[.,.]],[.,.]],.],.],.] => [4,2,1,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 1
[[[[[[.,.],.],[.,.]],.],.],.] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 1
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 1
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 1
[[[[[[.,.],[.,.]],.],.],.],.] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 1
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 1
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 0
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 1
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 2
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => {{1,3},{2,4,5,6,7,8}} => 1
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 1
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 1
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [8,3,4,5,6,7,1,2] => {{1,8},{2,3,4,5,6,7}} => 2
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1
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Description
The nesting number of a set partition.
This is the maximal number of chords in the standard representation of a set partition that mutually nest.
Map
weak exceedance partition
Description
The set partition induced by the weak exceedances of a permutation.
This is the coarsest set partition that contains all arcs $(i, \pi(i))$ with $i\leq\pi(i)$.
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.