Identifier
Values
[.,.] => [1] => 0
[.,[.,.]] => [2,1] => 0
[[.,.],.] => [1,2] => 1
[.,[.,[.,.]]] => [3,2,1] => 0
[.,[[.,.],.]] => [2,3,1] => 0
[[.,.],[.,.]] => [1,3,2] => 1
[[.,[.,.]],.] => [2,1,3] => 1
[[[.,.],.],.] => [1,2,3] => 2
[.,[.,[.,[.,.]]]] => [4,3,2,1] => 0
[.,[.,[[.,.],.]]] => [3,4,2,1] => 0
[.,[[.,.],[.,.]]] => [2,4,3,1] => 0
[.,[[.,[.,.]],.]] => [3,2,4,1] => 0
[.,[[[.,.],.],.]] => [2,3,4,1] => 0
[[.,.],[.,[.,.]]] => [1,4,3,2] => 1
[[.,.],[[.,.],.]] => [1,3,4,2] => 1
[[.,[.,.]],[.,.]] => [2,1,4,3] => 1
[[[.,.],.],[.,.]] => [1,2,4,3] => 2
[[.,[.,[.,.]]],.] => [3,2,1,4] => 1
[[.,[[.,.],.]],.] => [2,3,1,4] => 1
[[[.,.],[.,.]],.] => [1,3,2,4] => 2
[[[.,[.,.]],.],.] => [2,1,3,4] => 2
[[[[.,.],.],.],.] => [1,2,3,4] => 3
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 0
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 0
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => 0
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 0
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 0
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => 0
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => 0
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => 0
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => 0
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 0
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 0
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => 0
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 0
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 0
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => 1
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => 1
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 1
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => 1
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => 1
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => 1
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => 1
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => 2
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => 2
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => 1
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => 1
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 2
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => 2
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => 3
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 1
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 1
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => 1
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 1
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 1
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => 2
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => 2
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => 2
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => 3
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 2
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 2
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => 3
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 3
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 4
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 0
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => 0
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 0
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 0
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => 0
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => 0
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => 0
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => 0
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 0
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 0
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => 0
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 0
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 0
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => 0
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => 0
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 0
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => 0
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => 0
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => 0
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => 0
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => 0
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => 0
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => 0
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => 0
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 0
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => 0
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => 0
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 0
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 0
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => 0
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 0
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 0
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => 0
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => 0
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => 0
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => 0
>>> Load all 508 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 0
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 0
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => 0
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 0
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => 0
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => 1
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => 1
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 1
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => 1
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => 1
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 1
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 1
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 1
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 1
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => 1
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => 1
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 1
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => 1
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => 1
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 1
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 1
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 1
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 1
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 1
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 2
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 2
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 2
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 2
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 2
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 1
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 1
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 1
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 1
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 2
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 2
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 2
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 2
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 3
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 3
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => 1
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => 1
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 1
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => 1
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => 1
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 2
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 2
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 2
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 3
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => 2
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => 2
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 3
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => 3
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => 4
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 1
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 1
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => 1
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 1
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => 1
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => 1
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => 1
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => 1
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 1
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 1
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => 1
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 1
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => 2
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => 2
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 2
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => 2
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => 2
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => 2
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => 2
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => 3
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => 3
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => 2
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => 2
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 3
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => 3
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => 4
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 2
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 2
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => 2
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 2
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 2
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => 3
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => 3
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => 3
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => 4
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 3
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 3
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => 4
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 4
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => 5
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => 0
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => 0
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => 0
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => 0
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => 0
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => 0
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => 0
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => 0
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => 0
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => 0
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => 0
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => 0
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => 0
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => 0
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => 0
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => 0
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => 0
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => 0
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => 0
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => 0
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => 0
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => 0
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => 0
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => 0
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => 0
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => 0
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => 0
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => 0
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => 0
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => 0
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => 0
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => 0
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => 0
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => 0
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => 0
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => 0
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => 0
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => 0
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => 0
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => 0
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => 0
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => 0
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => 0
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => 0
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => 0
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => 0
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => 0
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => 0
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => 0
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => 0
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => 0
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => 0
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => 0
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => 0
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => 0
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => 0
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => 0
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => 0
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => 0
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => 0
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => 0
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => 0
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => 0
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => 0
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => 0
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => 0
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => 0
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => 0
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => 0
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => 0
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => 0
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => 0
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => 0
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => 0
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => 0
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => 0
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => 0
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => 0
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => 0
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => 0
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => 0
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => 0
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => 0
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => 0
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => 0
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => 0
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => 0
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => 0
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => 0
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => 0
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => 0
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => 0
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => 0
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => 0
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => 0
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => 0
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => 0
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => 0
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => 0
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => 0
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => 0
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => 0
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => 0
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => 0
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => 0
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => 0
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => 0
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => 0
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => 0
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => 0
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => 0
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => 0
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => 0
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => 0
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => 0
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => 0
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => 0
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => 0
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => 0
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => 0
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => 0
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => 0
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => 0
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => 0
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => 0
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => 0
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => 0
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => 0
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => 0
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => 0
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => 0
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => 0
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => 1
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => 1
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => 1
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => 1
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => 1
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => 1
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => 1
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => 1
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 1
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => 1
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => 1
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => 1
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 1
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 1
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 1
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 1
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 1
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 1
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => 1
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 1
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 1
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => 1
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => 1
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 1
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => 1
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => 1
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => 1
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => 1
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => 1
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => 1
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => 1
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => 1
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 2
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 2
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 2
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 2
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 2
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 2
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 2
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 2
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 2
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 2
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 2
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => 1
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => 1
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 2
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 2
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => 2
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => 2
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => 2
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 3
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 3
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 3
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 3
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => 1
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => 1
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => 1
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => 1
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 2
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 2
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 2
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => 2
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => 2
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 3
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 3
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => 2
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => 2
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => 2
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 3
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 3
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => 3
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => 3
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 4
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 4
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => 1
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => 1
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => 1
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => 2
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 2
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => 2
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => 2
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 3
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 3
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => 2
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => 2
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 3
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => 3
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => 2
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => 2
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 3
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 3
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => 3
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 4
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => 3
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => 3
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 4
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => 4
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => 5
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => 1
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => 1
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => 1
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => 1
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => 1
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => 1
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => 1
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => 1
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => 1
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => 1
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => 1
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => 1
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => 1
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => 1
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => 1
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => 1
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => 1
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => 1
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => 1
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => 1
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => 1
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => 1
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => 2
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => 2
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => 2
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => 2
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => 2
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 3
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 3
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => 2
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => 2
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 3
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 3
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => 3
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => 3
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 4
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 4
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => 2
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => 2
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 3
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 3
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => 3
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 4
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => 3
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => 3
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 4
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => 4
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => 5
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => 2
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => 2
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => 2
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => 2
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => 2
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => 2
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => 2
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => 2
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => 3
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => 3
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => 3
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => 3
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => 4
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => 4
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => 3
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => 3
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 4
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => 4
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => 5
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => 3
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => 3
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => 3
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => 3
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => 4
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => 4
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => 4
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => 5
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => 4
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => 4
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => 5
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => 5
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => 6
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The number of global ascents of a permutation.
The global ascents are the integers $i$ such that
$$C(\pi)=\{i\in [n-1] \mid \forall 1 \leq j \leq i < k \leq n: \pi(j) < \pi(k)\}.$$
Equivalently, by the pigeonhole principle,
$$C(\pi)=\{i\in [n-1] \mid \forall 1 \leq j \leq i: \pi(j) \leq i \}.$$
For $n > 1$ it can also be described as an occurrence of the mesh pattern
$$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$
or equivalently
$$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$
see [3].
According to [2], this is also the cardinality of the connectivity set of a permutation. The permutation is connected, when the connectivity set is empty. This gives oeis:A003319.
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.