Identifier
Values
[.,.] => [1,0] => [1] => 0
[.,[.,.]] => [1,1,0,0] => [1,2] => 0
[[.,.],.] => [1,0,1,0] => [2,1] => 0
[.,[.,[.,.]]] => [1,1,1,0,0,0] => [1,2,3] => 0
[.,[[.,.],.]] => [1,1,0,1,0,0] => [3,1,2] => 0
[[.,.],[.,.]] => [1,0,1,1,0,0] => [2,1,3] => 0
[[.,[.,.]],.] => [1,1,0,0,1,0] => [1,3,2] => 0
[[[.,.],.],.] => [1,0,1,0,1,0] => [2,3,1] => 0
[.,[.,[.,[.,.]]]] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => 0
[.,[.,[[.,.],.]]] => [1,1,1,0,1,0,0,0] => [4,1,2,3] => 0
[.,[[.,.],[.,.]]] => [1,1,0,1,1,0,0,0] => [3,1,2,4] => 0
[.,[[.,[.,.]],.]] => [1,1,1,0,0,1,0,0] => [1,4,2,3] => 0
[.,[[[.,.],.],.]] => [1,1,0,1,0,1,0,0] => [3,4,1,2] => 1
[[.,.],[.,[.,.]]] => [1,0,1,1,1,0,0,0] => [2,1,3,4] => 0
[[.,.],[[.,.],.]] => [1,0,1,1,0,1,0,0] => [2,4,1,3] => 0
[[.,[.,.]],[.,.]] => [1,1,0,0,1,1,0,0] => [1,3,2,4] => 0
[[[.,.],.],[.,.]] => [1,0,1,0,1,1,0,0] => [2,3,1,4] => 0
[[.,[.,[.,.]]],.] => [1,1,1,0,0,0,1,0] => [1,2,4,3] => 0
[[.,[[.,.],.]],.] => [1,1,0,1,0,0,1,0] => [3,1,4,2] => 0
[[[.,.],[.,.]],.] => [1,0,1,1,0,0,1,0] => [2,1,4,3] => 0
[[[.,[.,.]],.],.] => [1,1,0,0,1,0,1,0] => [1,3,4,2] => 0
[[[[.,.],.],.],.] => [1,0,1,0,1,0,1,0] => [2,3,4,1] => 0
[.,[.,[.,[.,[.,.]]]]] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 0
[.,[.,[.,[[.,.],.]]]] => [1,1,1,1,0,1,0,0,0,0] => [5,1,2,3,4] => 0
[.,[.,[[.,.],[.,.]]]] => [1,1,1,0,1,1,0,0,0,0] => [4,1,2,3,5] => 0
[.,[.,[[.,[.,.]],.]]] => [1,1,1,1,0,0,1,0,0,0] => [1,5,2,3,4] => 0
[.,[.,[[[.,.],.],.]]] => [1,1,1,0,1,0,1,0,0,0] => [4,5,1,2,3] => 1
[.,[[.,.],[.,[.,.]]]] => [1,1,0,1,1,1,0,0,0,0] => [3,1,2,4,5] => 0
[.,[[.,.],[[.,.],.]]] => [1,1,0,1,1,0,1,0,0,0] => [3,5,1,2,4] => 1
[.,[[.,[.,.]],[.,.]]] => [1,1,1,0,0,1,1,0,0,0] => [1,4,2,3,5] => 0
[.,[[[.,.],.],[.,.]]] => [1,1,0,1,0,1,1,0,0,0] => [3,4,1,2,5] => 1
[.,[[.,[.,[.,.]]],.]] => [1,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4] => 0
[.,[[.,[[.,.],.]],.]] => [1,1,1,0,1,0,0,1,0,0] => [4,1,5,2,3] => 1
[.,[[[.,.],[.,.]],.]] => [1,1,0,1,1,0,0,1,0,0] => [3,1,5,2,4] => 0
[.,[[[.,[.,.]],.],.]] => [1,1,1,0,0,1,0,1,0,0] => [1,4,5,2,3] => 1
[.,[[[[.,.],.],.],.]] => [1,1,0,1,0,1,0,1,0,0] => [3,4,5,1,2] => 1
[[.,.],[.,[.,[.,.]]]] => [1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] => 0
[[.,.],[.,[[.,.],.]]] => [1,0,1,1,1,0,1,0,0,0] => [2,5,1,3,4] => 0
[[.,.],[[.,.],[.,.]]] => [1,0,1,1,0,1,1,0,0,0] => [2,4,1,3,5] => 0
[[.,.],[[.,[.,.]],.]] => [1,0,1,1,1,0,0,1,0,0] => [2,1,5,3,4] => 0
[[.,.],[[[.,.],.],.]] => [1,0,1,1,0,1,0,1,0,0] => [2,4,5,1,3] => 1
[[.,[.,.]],[.,[.,.]]] => [1,1,0,0,1,1,1,0,0,0] => [1,3,2,4,5] => 0
[[.,[.,.]],[[.,.],.]] => [1,1,0,0,1,1,0,1,0,0] => [1,3,5,2,4] => 0
[[[.,.],.],[.,[.,.]]] => [1,0,1,0,1,1,1,0,0,0] => [2,3,1,4,5] => 0
[[[.,.],.],[[.,.],.]] => [1,0,1,0,1,1,0,1,0,0] => [2,3,5,1,4] => 0
[[.,[.,[.,.]]],[.,.]] => [1,1,1,0,0,0,1,1,0,0] => [1,2,4,3,5] => 0
[[.,[[.,.],.]],[.,.]] => [1,1,0,1,0,0,1,1,0,0] => [3,1,4,2,5] => 0
[[[.,.],[.,.]],[.,.]] => [1,0,1,1,0,0,1,1,0,0] => [2,1,4,3,5] => 0
[[[.,[.,.]],.],[.,.]] => [1,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5] => 0
[[[[.,.],.],.],[.,.]] => [1,0,1,0,1,0,1,1,0,0] => [2,3,4,1,5] => 0
[[.,[.,[.,[.,.]]]],.] => [1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] => 0
[[.,[.,[[.,.],.]]],.] => [1,1,1,0,1,0,0,0,1,0] => [4,1,2,5,3] => 0
[[.,[[.,.],[.,.]]],.] => [1,1,0,1,1,0,0,0,1,0] => [3,1,2,5,4] => 0
[[.,[[.,[.,.]],.]],.] => [1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3] => 0
[[.,[[[.,.],.],.]],.] => [1,1,0,1,0,1,0,0,1,0] => [3,4,1,5,2] => 1
[[[.,.],[.,[.,.]]],.] => [1,0,1,1,1,0,0,0,1,0] => [2,1,3,5,4] => 0
[[[.,.],[[.,.],.]],.] => [1,0,1,1,0,1,0,0,1,0] => [2,4,1,5,3] => 0
[[[.,[.,.]],[.,.]],.] => [1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4] => 0
[[[[.,.],.],[.,.]],.] => [1,0,1,0,1,1,0,0,1,0] => [2,3,1,5,4] => 0
[[[.,[.,[.,.]]],.],.] => [1,1,1,0,0,0,1,0,1,0] => [1,2,4,5,3] => 0
[[[.,[[.,.],.]],.],.] => [1,1,0,1,0,0,1,0,1,0] => [3,1,4,5,2] => 0
[[[[.,.],[.,.]],.],.] => [1,0,1,1,0,0,1,0,1,0] => [2,1,4,5,3] => 0
[[[[.,[.,.]],.],.],.] => [1,1,0,0,1,0,1,0,1,0] => [1,3,4,5,2] => 0
[[[[[.,.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,1] => 0
[.,[.,[.,[.,[.,[.,.]]]]]] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 0
[.,[.,[.,[.,[[.,.],.]]]]] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => 0
[.,[.,[.,[[.,.],[.,.]]]]] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => 0
[.,[.,[.,[[.,[.,.]],.]]]] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => 0
[.,[.,[.,[[[.,.],.],.]]]] => [1,1,1,1,0,1,0,1,0,0,0,0] => [5,6,1,2,3,4] => 2
[.,[.,[[.,.],[.,[.,.]]]]] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => 0
[.,[.,[[.,.],[[.,.],.]]]] => [1,1,1,0,1,1,0,1,0,0,0,0] => [4,6,1,2,3,5] => 1
[.,[.,[[.,[.,.]],[.,.]]]] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => 0
[.,[.,[[[.,.],.],[.,.]]]] => [1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,1,2,3,6] => 1
[.,[.,[[.,[.,[.,.]]],.]]] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => 0
[.,[.,[[.,[[.,.],.]],.]]] => [1,1,1,1,0,1,0,0,1,0,0,0] => [5,1,6,2,3,4] => 1
[.,[.,[[[.,.],[.,.]],.]]] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,1,6,2,3,5] => 1
[.,[.,[[[.,[.,.]],.],.]]] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,6,2,3,4] => 1
[.,[.,[[[[.,.],.],.],.]]] => [1,1,1,0,1,0,1,0,1,0,0,0] => [4,5,6,1,2,3] => 3
[.,[[.,.],[.,[.,[.,.]]]]] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => 0
[.,[[.,.],[.,[[.,.],.]]]] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,6,1,2,4,5] => 1
[.,[[.,.],[[.,.],[.,.]]]] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4,6] => 1
[.,[[.,.],[[.,[.,.]],.]]] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,6,2,4,5] => 0
[.,[[.,.],[[[.,.],.],.]]] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,5,6,1,2,4] => 2
[.,[[.,[.,.]],[.,[.,.]]]] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => 0
[.,[[.,[.,.]],[[.,.],.]]] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,3,5] => 1
[.,[[[.,.],.],[.,[.,.]]]] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,1,2,5,6] => 1
[.,[[[.,.],.],[[.,.],.]]] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,4,6,1,2,5] => 1
[.,[[.,[.,[.,.]]],[.,.]]] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => 0
[.,[[.,[[.,.],.]],[.,.]]] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,1,5,2,3,6] => 1
[.,[[[.,.],[.,.]],[.,.]]] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4,6] => 0
[.,[[[.,[.,.]],.],[.,.]]] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6] => 1
[.,[[[[.,.],.],.],[.,.]]] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,6] => 1
[.,[[.,[.,[.,[.,.]]]],.]] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => 0
[.,[[.,[.,[[.,.],.]]],.]] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,1,2,6,3,4] => 1
[.,[[.,[[.,.],[.,.]]],.]] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,2,6,3,5] => 0
[.,[[.,[[.,[.,.]],.]],.]] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,4] => 1
[.,[[.,[[[.,.],.],.]],.]] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,5,1,6,2,3] => 2
[.,[[[.,.],[.,[.,.]]],.]] => [1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,6,4,5] => 0
[.,[[[.,.],[[.,.],.]],.]] => [1,1,0,1,1,0,1,0,0,1,0,0] => [3,5,1,6,2,4] => 2
[.,[[[.,[.,.]],[.,.]],.]] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,5] => 0
[.,[[[[.,.],.],[.,.]],.]] => [1,1,0,1,0,1,1,0,0,1,0,0] => [3,4,1,6,2,5] => 1
>>> Load all 196 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,5,6,3,4] => 1
[.,[[[.,[[.,.],.]],.],.]] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,1,5,6,2,3] => 1
[.,[[[[.,.],[.,.]],.],.]] => [1,1,0,1,1,0,0,1,0,1,0,0] => [3,1,5,6,2,4] => 1
[.,[[[[.,[.,.]],.],.],.]] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,5,6,2,3] => 1
[.,[[[[[.,.],.],.],.],.]] => [1,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,1,2] => 2
[[.,.],[.,[.,[.,[.,.]]]]] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => 0
[[.,.],[.,[.,[[.,.],.]]]] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,6,1,3,4,5] => 0
[[.,.],[.,[[.,.],[.,.]]]] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,5,1,3,4,6] => 0
[[.,.],[.,[[.,[.,.]],.]]] => [1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,4,5] => 0
[[.,.],[.,[[[.,.],.],.]]] => [1,0,1,1,1,0,1,0,1,0,0,0] => [2,5,6,1,3,4] => 1
[[.,.],[[.,.],[.,[.,.]]]] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,1,3,5,6] => 0
[[.,.],[[.,.],[[.,.],.]]] => [1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,6,1,3,5] => 1
[[.,.],[[.,[.,.]],[.,.]]] => [1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,3,4,6] => 0
[[.,.],[[[.,.],.],[.,.]]] => [1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,6] => 1
[[.,.],[[.,[.,[.,.]]],.]] => [1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,6,4,5] => 0
[[.,.],[[.,[[.,.],.]],.]] => [1,0,1,1,1,0,1,0,0,1,0,0] => [2,5,1,6,3,4] => 1
[[.,.],[[[.,.],[.,.]],.]] => [1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,6,3,5] => 0
[[.,.],[[[.,[.,.]],.],.]] => [1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,6,3,4] => 1
[[.,.],[[[[.,.],.],.],.]] => [1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,5,6,1,3] => 1
[[.,[.,.]],[.,[.,[.,.]]]] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,4,5,6] => 0
[[.,[.,.]],[.,[[.,.],.]]] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,6,2,4,5] => 0
[[.,[.,.]],[[.,.],[.,.]]] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,5,2,4,6] => 0
[[.,[.,.]],[[.,[.,.]],.]] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,4,5] => 0
[[.,[.,.]],[[[.,.],.],.]] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,5,6,2,4] => 1
[[[.,.],.],[.,[.,[.,.]]]] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,5,6] => 0
[[[.,.],.],[.,[[.,.],.]]] => [1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,6,1,4,5] => 0
[[[.,.],.],[[.,.],[.,.]]] => [1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,5,1,4,6] => 0
[[[.,.],.],[[.,[.,.]],.]] => [1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,1,6,4,5] => 0
[[[.,.],.],[[[.,.],.],.]] => [1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,5,6,1,4] => 1
[[.,[.,[.,.]]],[.,[.,.]]] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,4,3,5,6] => 0
[[.,[.,[.,.]]],[[.,.],.]] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,2,4,6,3,5] => 0
[[.,[[.,.],.]],[.,[.,.]]] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,1,4,2,5,6] => 0
[[.,[[.,.],.]],[[.,.],.]] => [1,1,0,1,0,0,1,1,0,1,0,0] => [3,1,4,6,2,5] => 0
[[[.,.],[.,.]],[.,[.,.]]] => [1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,5,6] => 0
[[[.,.],[.,.]],[[.,.],.]] => [1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,6,3,5] => 0
[[[.,[.,.]],.],[.,[.,.]]] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,4,2,5,6] => 0
[[[.,[.,.]],.],[[.,.],.]] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,4,6,2,5] => 0
[[[[.,.],.],.],[.,[.,.]]] => [1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,1,5,6] => 0
[[[[.,.],.],.],[[.,.],.]] => [1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,6,1,5] => 0
[[.,[.,[.,[.,.]]]],[.,.]] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,5,4,6] => 0
[[.,[.,[[.,.],.]]],[.,.]] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,1,2,5,3,6] => 0
[[.,[[.,.],[.,.]]],[.,.]] => [1,1,0,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4,6] => 0
[[.,[[.,[.,.]],.]],[.,.]] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2,5,3,6] => 0
[[.,[[[.,.],.],.]],[.,.]] => [1,1,0,1,0,1,0,0,1,1,0,0] => [3,4,1,5,2,6] => 1
[[[.,.],[.,[.,.]]],[.,.]] => [1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,5,4,6] => 0
[[[.,.],[[.,.],.]],[.,.]] => [1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,5,3,6] => 0
[[[.,[.,.]],[.,.]],[.,.]] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,6] => 0
[[[[.,.],.],[.,.]],[.,.]] => [1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,6] => 0
[[[.,[.,[.,.]]],.],[.,.]] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,4,5,3,6] => 0
[[[.,[[.,.],.]],.],[.,.]] => [1,1,0,1,0,0,1,0,1,1,0,0] => [3,1,4,5,2,6] => 0
[[[[.,.],[.,.]],.],[.,.]] => [1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,5,3,6] => 0
[[[[.,[.,.]],.],.],[.,.]] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,4,5,2,6] => 0
[[[[[.,.],.],.],.],[.,.]] => [1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,1,6] => 0
[[.,[.,[.,[.,[.,.]]]]],.] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => 0
[[.,[.,[.,[[.,.],.]]]],.] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,4] => 0
[[.,[.,[[.,.],[.,.]]]],.] => [1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,5] => 0
[[.,[.,[[.,[.,.]],.]]],.] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,3,6,4] => 0
[[.,[.,[[[.,.],.],.]]],.] => [1,1,1,0,1,0,1,0,0,0,1,0] => [4,5,1,2,6,3] => 1
[[.,[[.,.],[.,[.,.]]]],.] => [1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,6,5] => 0
[[.,[[.,.],[[.,.],.]]],.] => [1,1,0,1,1,0,1,0,0,0,1,0] => [3,5,1,2,6,4] => 1
[[.,[[.,[.,.]],[.,.]]],.] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,3,6,5] => 0
[[.,[[[.,.],.],[.,.]]],.] => [1,1,0,1,0,1,1,0,0,0,1,0] => [3,4,1,2,6,5] => 1
[[.,[[.,[.,[.,.]]],.]],.] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,2,5,3,6,4] => 0
[[.,[[.,[[.,.],.]],.]],.] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,1,5,2,6,3] => 1
[[.,[[[.,.],[.,.]],.]],.] => [1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,5,2,6,4] => 0
[[.,[[[.,[.,.]],.],.]],.] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,5,2,6,3] => 1
[[.,[[[[.,.],.],.],.]],.] => [1,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,1,6,2] => 1
[[[.,.],[.,[.,[.,.]]]],.] => [1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,6,5] => 0
[[[.,.],[.,[[.,.],.]]],.] => [1,0,1,1,1,0,1,0,0,0,1,0] => [2,5,1,3,6,4] => 0
[[[.,.],[[.,.],[.,.]]],.] => [1,0,1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,6,5] => 0
[[[.,.],[[.,[.,.]],.]],.] => [1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,3,6,4] => 0
[[[.,.],[[[.,.],.],.]],.] => [1,0,1,1,0,1,0,1,0,0,1,0] => [2,4,5,1,6,3] => 1
[[[.,[.,.]],[.,[.,.]]],.] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,4,6,5] => 0
[[[.,[.,.]],[[.,.],.]],.] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,5,2,6,4] => 0
[[[[.,.],.],[.,[.,.]]],.] => [1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,1,4,6,5] => 0
[[[[.,.],.],[[.,.],.]],.] => [1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,5,1,6,4] => 0
[[[.,[.,[.,.]]],[.,.]],.] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5] => 0
[[[.,[[.,.],.]],[.,.]],.] => [1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,4,2,6,5] => 0
[[[[.,.],[.,.]],[.,.]],.] => [1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5] => 0
[[[[.,[.,.]],.],[.,.]],.] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,4,2,6,5] => 0
[[[[[.,.],.],.],[.,.]],.] => [1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,1,6,5] => 0
[[[.,[.,[.,[.,.]]]],.],.] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,5,6,4] => 0
[[[.,[.,[[.,.],.]]],.],.] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,2,5,6,3] => 0
[[[.,[[.,.],[.,.]]],.],.] => [1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,2,5,6,4] => 0
[[[.,[[.,[.,.]],.]],.],.] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,2,5,6,3] => 0
[[[.,[[[.,.],.],.]],.],.] => [1,1,0,1,0,1,0,0,1,0,1,0] => [3,4,1,5,6,2] => 1
[[[[.,.],[.,[.,.]]],.],.] => [1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,5,6,4] => 0
[[[[.,.],[[.,.],.]],.],.] => [1,0,1,1,0,1,0,0,1,0,1,0] => [2,4,1,5,6,3] => 0
[[[[.,[.,.]],[.,.]],.],.] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,6,4] => 0
[[[[[.,.],.],[.,.]],.],.] => [1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,1,5,6,4] => 0
[[[[.,[.,[.,.]]],.],.],.] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,4,5,6,3] => 0
[[[[.,[[.,.],.]],.],.],.] => [1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,4,5,6,2] => 0
[[[[[.,.],[.,.]],.],.],.] => [1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,5,6,3] => 0
[[[[[.,[.,.]],.],.],.],.] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,2] => 0
[[[[[[.,.],.],.],.],.],.] => [1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,1] => 0
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Description
The maximum defect over any reduced expression for a permutation and any subexpression.
Map
to 321-avoiding permutation (Billey-Jockusch-Stanley)
Description
The Billey-Jockusch-Stanley bijection to 321-avoiding permutations.
Map
to Tamari-corresponding Dyck path
Description
Return the Dyck path associated with a binary tree in consistency with the Tamari order on Dyck words and binary trees.
The bijection is defined recursively as follows:
  • a leaf is associated with an empty Dyck path,
  • a tree with children $l,r$ is associated with the Dyck word $T(l) 1 T(r) 0$ where $T(l)$ and $T(r)$ are the images of this bijection to $l$ and $r$.