Identifier
Values
[.,[.,.]] => [[.,.],.] => [.,[.,.]] => [2,1] => 1
[[.,.],.] => [.,[.,.]] => [[.,.],.] => [1,2] => 0
[.,[.,[.,.]]] => [[[.,.],.],.] => [.,[[.,.],.]] => [2,3,1] => 1
[.,[[.,.],.]] => [[.,[.,.]],.] => [.,[.,[.,.]]] => [3,2,1] => 2
[[.,.],[.,.]] => [[.,.],[.,.]] => [[[.,.],.],.] => [1,2,3] => 0
[[.,[.,.]],.] => [.,[[.,.],.]] => [[.,[.,.]],.] => [2,1,3] => 1
[[[.,.],.],.] => [.,[.,[.,.]]] => [[.,.],[.,.]] => [1,3,2] => 1
[.,[.,[.,[.,.]]]] => [[[[.,.],.],.],.] => [.,[[[.,.],.],.]] => [2,3,4,1] => 1
[.,[.,[[.,.],.]]] => [[[.,[.,.]],.],.] => [.,[[.,[.,.]],.]] => [3,2,4,1] => 2
[.,[[.,.],[.,.]]] => [[[.,.],[.,.]],.] => [.,[[.,.],[.,.]]] => [2,4,3,1] => 2
[.,[[.,[.,.]],.]] => [[.,[[.,.],.]],.] => [.,[.,[[.,.],.]]] => [3,4,2,1] => 2
[.,[[[.,.],.],.]] => [[.,[.,[.,.]]],.] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 3
[[.,.],[.,[.,.]]] => [[[.,.],.],[.,.]] => [[[[.,.],.],.],.] => [1,2,3,4] => 0
[[.,.],[[.,.],.]] => [[.,[.,.]],[.,.]] => [[[.,[.,.]],.],.] => [2,1,3,4] => 1
[[.,[.,.]],[.,.]] => [[.,.],[[.,.],.]] => [[[.,.],[.,.]],.] => [1,3,2,4] => 1
[[[.,.],.],[.,.]] => [[.,.],[.,[.,.]]] => [[[.,.],.],[.,.]] => [1,2,4,3] => 1
[[.,[.,[.,.]]],.] => [.,[[[.,.],.],.]] => [[.,[[.,.],.]],.] => [2,3,1,4] => 1
[[.,[[.,.],.]],.] => [.,[[.,[.,.]],.]] => [[.,[.,[.,.]]],.] => [3,2,1,4] => 2
[[[.,.],[.,.]],.] => [.,[[.,.],[.,.]]] => [[.,[.,.]],[.,.]] => [2,1,4,3] => 2
[[[.,[.,.]],.],.] => [.,[.,[[.,.],.]]] => [[.,.],[[.,.],.]] => [1,3,4,2] => 1
[[[[.,.],.],.],.] => [.,[.,[.,[.,.]]]] => [[.,.],[.,[.,.]]] => [1,4,3,2] => 2
[.,[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],.] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 1
[.,[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],.] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 2
[.,[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],.] => [.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => 2
[.,[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],.] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 2
[.,[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],.] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 3
[.,[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],.] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => 2
[.,[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],.] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => 3
[.,[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],.] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => 2
[.,[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],.] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => 3
[.,[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],.] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 2
[.,[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],.] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 3
[.,[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => [.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => 3
[.,[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],.] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 3
[.,[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],.] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 4
[[.,.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,.]] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[[.,.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,.]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 1
[[.,.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,.]] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => 1
[[.,.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,.]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 1
[[.,.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,.]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 2
[[.,[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],.]] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => 1
[[.,[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],.]] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => 2
[[[.,.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,.]]] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => 1
[[[.,.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,.]]] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => 2
[[.,[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],.]] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => 1
[[.,[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],.]] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => 2
[[[.,.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 2
[[[.,[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],.]]] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => 1
[[[[.,.],.],.],[.,.]] => [[.,.],[.,[.,[.,.]]]] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => 2
[[.,[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],.]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 1
[[.,[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],.]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 2
[[.,[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => 2
[[.,[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],.]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 2
[[.,[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],.]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 3
[[[.,.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,.]]] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => 2
[[[.,.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,.]]] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => 3
[[[.,[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],.]]] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => 2
[[[[.,.],.],[.,.]],.] => [.,[[.,.],[.,[.,.]]]] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => 3
[[[.,[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],.]]] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => 1
[[[.,[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],.]]] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => 2
[[[[.,.],[.,.]],.],.] => [.,[.,[[.,.],[.,.]]]] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 2
[[[[.,[.,.]],.],.],.] => [.,[.,[.,[[.,.],.]]]] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => 2
[[[[[.,.],.],.],.],.] => [.,[.,[.,[.,[.,.]]]]] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => 3
[.,[.,[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],.],.] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => 1
[.,[.,[.,[.,[[.,.],.]]]]] => [[[[[.,[.,.]],.],.],.],.] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 2
[.,[.,[.,[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],.],.],.] => [.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => 2
[.,[.,[.,[[.,[.,.]],.]]]] => [[[[.,[[.,.],.]],.],.],.] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 2
[.,[.,[.,[[[.,.],.],.]]]] => [[[[.,[.,[.,.]]],.],.],.] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 3
[.,[.,[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],.],.] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => 2
[.,[.,[[.,.],[[.,.],.]]]] => [[[[.,[.,.]],[.,.]],.],.] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => 3
[.,[.,[[.,[.,.]],[.,.]]]] => [[[[.,.],[[.,.],.]],.],.] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => 2
[.,[.,[[[.,.],.],[.,.]]]] => [[[[.,.],[.,[.,.]]],.],.] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => 3
[.,[.,[[.,[.,[.,.]]],.]]] => [[[.,[[[.,.],.],.]],.],.] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 2
[.,[.,[[.,[[.,.],.]],.]]] => [[[.,[[.,[.,.]],.]],.],.] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 3
[.,[.,[[[.,.],[.,.]],.]]] => [[[.,[[.,.],[.,.]]],.],.] => [.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => 3
[.,[.,[[[.,[.,.]],.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 3
[.,[.,[[[[.,.],.],.],.]]] => [[[.,[.,[.,[.,.]]]],.],.] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 4
[.,[[.,.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,.]],.] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => 2
[.,[[.,.],[.,[[.,.],.]]]] => [[[[.,[.,.]],.],[.,.]],.] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => 3
[.,[[.,.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,.]],.] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 3
[.,[[.,.],[[.,[.,.]],.]]] => [[[.,[[.,.],.]],[.,.]],.] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => 3
[.,[[.,.],[[[.,.],.],.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => 4
[.,[[.,[.,.]],[.,[.,.]]]] => [[[[.,.],.],[[.,.],.]],.] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => 2
[.,[[.,[.,.]],[[.,.],.]]] => [[[.,[.,.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => 3
[.,[[[.,.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => 3
[.,[[[.,.],.],[[.,.],.]]] => [[[.,[.,.]],[.,[.,.]]],.] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => 4
[.,[[.,[.,[.,.]]],[.,.]]] => [[[.,.],[[[.,.],.],.]],.] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => 2
[.,[[.,[[.,.],.]],[.,.]]] => [[[.,.],[[.,[.,.]],.]],.] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => 3
[.,[[[.,.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,.]]],.] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 3
[.,[[[.,[.,.]],.],[.,.]]] => [[[.,.],[.,[[.,.],.]]],.] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => 3
[.,[[[[.,.],.],.],[.,.]]] => [[[.,.],[.,[.,[.,.]]]],.] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => 4
[.,[[.,[.,[.,[.,.]]]],.]] => [[.,[[[[.,.],.],.],.]],.] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 2
[.,[[.,[.,[[.,.],.]]],.]] => [[.,[[[.,[.,.]],.],.]],.] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 3
[.,[[.,[[.,.],[.,.]]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => 3
[.,[[.,[[.,[.,.]],.]],.]] => [[.,[[.,[[.,.],.]],.]],.] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 3
[.,[[.,[[[.,.],.],.]],.]] => [[.,[[.,[.,[.,.]]],.]],.] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 4
[.,[[[.,.],[.,[.,.]]],.]] => [[.,[[[.,.],.],[.,.]]],.] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => 3
[.,[[[.,.],[[.,.],.]],.]] => [[.,[[.,[.,.]],[.,.]]],.] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => 4
[.,[[[.,[.,.]],[.,.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => 3
[.,[[[[.,.],.],[.,.]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => 4
[.,[[[.,[.,[.,.]]],.],.]] => [[.,[.,[[[.,.],.],.]]],.] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 3
>>> Load all 304 entries. <<<
[.,[[[.,[[.,.],.]],.],.]] => [[.,[.,[[.,[.,.]],.]]],.] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 4
[.,[[[[.,.],[.,.]],.],.]] => [[.,[.,[[.,.],[.,.]]]],.] => [.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => 4
[.,[[[[.,[.,.]],.],.],.]] => [[.,[.,[.,[[.,.],.]]]],.] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 4
[.,[[[[[.,.],.],.],.],.]] => [[.,[.,[.,[.,[.,.]]]]],.] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 5
[[.,.],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[.,.]] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => 0
[[.,.],[.,[.,[[.,.],.]]]] => [[[[.,[.,.]],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 1
[[.,.],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[.,.]] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => 1
[[.,.],[.,[[.,[.,.]],.]]] => [[[.,[[.,.],.]],.],[.,.]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 1
[[.,.],[.,[[[.,.],.],.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 2
[[.,.],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[.,.]] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => 1
[[.,.],[[.,.],[[.,.],.]]] => [[[.,[.,.]],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => 2
[[.,.],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[.,.]] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => 1
[[.,.],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[.,.]] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => 2
[[.,.],[[.,[.,[.,.]]],.]] => [[.,[[[.,.],.],.]],[.,.]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 1
[[.,.],[[.,[[.,.],.]],.]] => [[.,[[.,[.,.]],.]],[.,.]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 2
[[.,.],[[[.,.],[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => 2
[[.,.],[[[.,[.,.]],.],.]] => [[.,[.,[[.,.],.]]],[.,.]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 2
[[.,.],[[[[.,.],.],.],.]] => [[.,[.,[.,[.,.]]]],[.,.]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 3
[[.,[.,.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,.],.]] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => 1
[[.,[.,.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,.],.]] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => 2
[[.,[.,.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,.],.]] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 2
[[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => 2
[[.,[.,.]],[[[.,.],.],.]] => [[.,[.,[.,.]]],[[.,.],.]] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => 3
[[[.,.],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[.,.]]] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => 1
[[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,.]],.],[.,[.,.]]] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => 2
[[[.,.],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[.,.]]] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 2
[[[.,.],.],[[.,[.,.]],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => 2
[[[.,.],.],[[[.,.],.],.]] => [[.,[.,[.,.]]],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => 3
[[.,[.,[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],.],.]] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => 1
[[.,[.,[.,.]]],[[.,.],.]] => [[.,[.,.]],[[[.,.],.],.]] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => 2
[[.,[[.,.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,.]],.]] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => 2
[[.,[[.,.],.]],[[.,.],.]] => [[.,[.,.]],[[.,[.,.]],.]] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => 3
[[[.,.],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[.,.]]] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 2
[[[.,.],[.,.]],[[.,.],.]] => [[.,[.,.]],[[.,.],[.,.]]] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 3
[[[.,[.,.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,.],.]]] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 1
[[[.,[.,.]],.],[[.,.],.]] => [[.,[.,.]],[.,[[.,.],.]]] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 2
[[[[.,.],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 2
[[[[.,.],.],.],[[.,.],.]] => [[.,[.,.]],[.,[.,[.,.]]]] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 3
[[.,[.,[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],.],.]] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => 1
[[.,[.,[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],.],.]] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => 2
[[.,[[.,.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,.]],.]] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 2
[[.,[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],.]] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => 2
[[.,[[[.,.],.],.]],[.,.]] => [[.,.],[[.,[.,[.,.]]],.]] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => 3
[[[.,.],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[.,.]]] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 2
[[[.,.],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[.,.]]] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 3
[[[.,[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],.]]] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 2
[[[[.,.],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[.,.]]]] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 3
[[[.,[.,[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],.],.]]] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 1
[[[.,[[.,.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,.]],.]]] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 2
[[[[.,.],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[.,.]]]] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 2
[[[[.,[.,.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,.],.]]]] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 2
[[[[[.,.],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[.,.]]]]] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 3
[[.,[.,[.,[.,[.,.]]]]],.] => [.,[[[[[.,.],.],.],.],.]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 1
[[.,[.,[.,[[.,.],.]]]],.] => [.,[[[[.,[.,.]],.],.],.]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 2
[[.,[.,[[.,.],[.,.]]]],.] => [.,[[[[.,.],[.,.]],.],.]] => [[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => 2
[[.,[.,[[.,[.,.]],.]]],.] => [.,[[[.,[[.,.],.]],.],.]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 2
[[.,[.,[[[.,.],.],.]]],.] => [.,[[[.,[.,[.,.]]],.],.]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 3
[[.,[[.,.],[.,[.,.]]]],.] => [.,[[[[.,.],.],[.,.]],.]] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => 2
[[.,[[.,.],[[.,.],.]]],.] => [.,[[[.,[.,.]],[.,.]],.]] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => 3
[[.,[[.,[.,.]],[.,.]]],.] => [.,[[[.,.],[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => 2
[[.,[[[.,.],.],[.,.]]],.] => [.,[[[.,.],[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => 3
[[.,[[.,[.,[.,.]]],.]],.] => [.,[[.,[[[.,.],.],.]],.]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 2
[[.,[[.,[[.,.],.]],.]],.] => [.,[[.,[[.,[.,.]],.]],.]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 3
[[.,[[[.,.],[.,.]],.]],.] => [.,[[.,[[.,.],[.,.]]],.]] => [[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => 3
[[.,[[[.,[.,.]],.],.]],.] => [.,[[.,[.,[[.,.],.]]],.]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 3
[[.,[[[[.,.],.],.],.]],.] => [.,[[.,[.,[.,[.,.]]]],.]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 4
[[[.,.],[.,[.,[.,.]]]],.] => [.,[[[[.,.],.],.],[.,.]]] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => 2
[[[.,.],[.,[[.,.],.]]],.] => [.,[[[.,[.,.]],.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => 3
[[[.,.],[[.,.],[.,.]]],.] => [.,[[[.,.],[.,.]],[.,.]]] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 3
[[[.,.],[[.,[.,.]],.]],.] => [.,[[.,[[.,.],.]],[.,.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => 3
[[[.,.],[[[.,.],.],.]],.] => [.,[[.,[.,[.,.]]],[.,.]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => 4
[[[.,[.,.]],[.,[.,.]]],.] => [.,[[[.,.],.],[[.,.],.]]] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 2
[[[.,[.,.]],[[.,.],.]],.] => [.,[[.,[.,.]],[[.,.],.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 3
[[[[.,.],.],[.,[.,.]]],.] => [.,[[[.,.],.],[.,[.,.]]]] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 3
[[[[.,.],.],[[.,.],.]],.] => [.,[[.,[.,.]],[.,[.,.]]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 4
[[[.,[.,[.,.]]],[.,.]],.] => [.,[[.,.],[[[.,.],.],.]]] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 2
[[[.,[[.,.],.]],[.,.]],.] => [.,[[.,.],[[.,[.,.]],.]]] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 3
[[[[.,.],[.,.]],[.,.]],.] => [.,[[.,.],[[.,.],[.,.]]]] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 3
[[[[.,[.,.]],.],[.,.]],.] => [.,[[.,.],[.,[[.,.],.]]]] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 3
[[[[[.,.],.],.],[.,.]],.] => [.,[[.,.],[.,[.,[.,.]]]]] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 4
[[[.,[.,[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],.],.]]] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => 1
[[[.,[.,[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],.],.]]] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => 2
[[[.,[[.,.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,.]],.]]] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 2
[[[.,[[.,[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],.]],.]]] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => 2
[[[.,[[[.,.],.],.]],.],.] => [.,[.,[[.,[.,[.,.]]],.]]] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => 3
[[[[.,.],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[.,.]]]] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 2
[[[[.,.],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[.,.]]]] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 3
[[[[.,[.,.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,.],.]]]] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 2
[[[[[.,.],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[.,.]]]]] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 3
[[[[.,[.,[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],.],.]]]] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => 2
[[[[.,[[.,.],.]],.],.],.] => [.,[.,[.,[[.,[.,.]],.]]]] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => 3
[[[[[.,.],[.,.]],.],.],.] => [.,[.,[.,[[.,.],[.,.]]]]] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 3
[[[[[.,[.,.]],.],.],.],.] => [.,[.,[.,[.,[[.,.],.]]]]] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => 3
[[[[[[.,.],.],.],.],.],.] => [.,[.,[.,[.,[.,[.,.]]]]]] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => 4
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[[[[[.,.],.],.],.],.],[.,.]] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => 0
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => 1
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => 1
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => 1
[[.,.],[.,[[[.,.],.],[.,.]]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => 2
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => 1
[[.,.],[[.,.],[[.,.],[.,.]]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 2
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => 1
[[.,.],[[[.,.],.],[.,[.,.]]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => 2
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => 1
[[.,.],[[.,[[.,.],.]],[.,.]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => 2
[[.,.],[[[.,.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => 2
[[.,.],[[[.,[.,.]],.],[.,.]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => 2
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => 1
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 2
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 2
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 2
[[.,[.,.]],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 3
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => 1
[[[.,.],.],[.,[[.,.],[.,.]]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 2
[[[.,.],.],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 2
[[[.,.],.],[[.,[.,.]],[.,.]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 2
[[[.,.],.],[[[.,.],.],[.,.]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 3
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 1
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 2
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 2
[[.,[[.,.],.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 3
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 2
[[[.,.],[.,.]],[[.,.],[.,.]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 3
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 1
[[[.,[.,.]],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 2
[[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 2
[[[[.,.],.],.],[[.,.],[.,.]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 3
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 1
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 2
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 2
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 2
[[.,[[[.,.],.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 3
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 2
[[[.,.],[[.,.],.]],[.,[.,.]]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 3
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 2
[[[[.,.],.],[.,.]],[.,[.,.]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 3
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 1
[[[.,[[.,.],.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 2
[[[[.,.],[.,.]],.],[.,[.,.]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 2
[[[[.,[.,.]],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 2
[[[[[.,.],.],.],.],[.,[.,.]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 3
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [[.,.],[[[[[.,.],.],.],.],.]] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => 1
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => 2
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 2
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => 2
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 2
[[.,[[.,.],[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 3
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 2
[[.,[[[.,.],.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 3
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => 2
[[.,[[[.,.],[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 3
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 2
[[[.,.],[.,[[.,.],.]]],[.,.]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 3
[[[.,.],[[.,.],[.,.]]],[.,.]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 3
[[[.,.],[[.,[.,.]],.]],[.,.]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 3
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 2
[[[.,[.,.]],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 3
[[[[.,.],.],[.,[.,.]]],[.,.]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 3
[[[[.,.],.],[[.,.],.]],[.,.]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 4
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 2
[[[.,[[.,.],.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 3
[[[[.,.],[.,.]],[.,.]],[.,.]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 3
[[[[.,[.,.]],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 3
[[[[[.,.],.],.],[.,.]],[.,.]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 4
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 1
[[[.,[.,[[.,.],.]]],.],[.,.]] => [[.,.],[.,[[[.,[.,.]],.],.]]] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 2
[[[.,[[.,.],[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],[.,.]],.]]] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 2
[[[.,[[.,[.,.]],.]],.],[.,.]] => [[.,.],[.,[[.,[[.,.],.]],.]]] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 2
[[[.,[[[.,.],.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 3
[[[[.,.],[.,[.,.]]],.],[.,.]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 2
[[[[.,.],[[.,.],.]],.],[.,.]] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 3
[[[[.,[.,.]],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 2
[[[[[.,.],.],[.,.]],.],[.,.]] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 3
[[[[.,[.,[.,.]]],.],.],[.,.]] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 2
[[[[.,[[.,.],.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 3
[[[[[.,.],[.,.]],.],.],[.,.]] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 3
[[[[[.,[.,.]],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 3
[[[[[[.,.],.],.],.],.],[.,.]] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 4
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [.,[.,[[[[[.,.],.],.],.],.]]] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => 1
[[[.,[.,[.,[[.,.],.]]]],.],.] => [.,[.,[[[[.,[.,.]],.],.],.]]] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => 2
[[[.,[.,[[.,.],[.,.]]]],.],.] => [.,[.,[[[[.,.],[.,.]],.],.]]] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 2
[[[.,[.,[[.,[.,.]],.]]],.],.] => [.,[.,[[[.,[[.,.],.]],.],.]]] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => 2
[[[.,[[.,.],[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],[.,.]],.]]] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 2
[[[.,[[.,.],[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],[.,.]],.]]] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 3
[[[.,[[.,[.,.]],[.,.]]],.],.] => [.,[.,[[[.,.],[[.,.],.]],.]]] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 2
[[[.,[[[.,.],.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 3
[[[.,[[.,[.,[.,.]]],.]],.],.] => [.,[.,[[.,[[[.,.],.],.]],.]]] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => 2
[[[.,[[[.,.],[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 3
[[[[.,.],[.,[.,[.,.]]]],.],.] => [.,[.,[[[[.,.],.],.],[.,.]]]] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 2
[[[[.,.],[.,[[.,.],.]]],.],.] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 3
[[[[.,.],[[.,.],[.,.]]],.],.] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 3
[[[[.,.],[[.,[.,.]],.]],.],.] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 3
[[[[.,[.,.]],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[[.,.],.]]]] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 2
[[[[.,[.,.]],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 3
[[[[[.,.],.],[.,[.,.]]],.],.] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 3
[[[[[.,.],.],[[.,.],.]],.],.] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 4
[[[[.,[.,[.,.]]],[.,.]],.],.] => [.,[.,[[.,.],[[[.,.],.],.]]]] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 2
[[[[.,[[.,.],.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 3
[[[[[.,.],[.,.]],[.,.]],.],.] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 3
[[[[[.,[.,.]],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 3
[[[[[[.,.],.],.],[.,.]],.],.] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 4
[[[[.,[.,[.,[.,.]]]],.],.],.] => [.,[.,[.,[[[[.,.],.],.],.]]]] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => 2
[[[[[.,.],[.,[.,.]]],.],.],.] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 3
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Description
The number of recoils of a permutation.
A recoil, or inverse descent of a permutation $\pi$ is a value $i$ such that $i+1$ appears to the left of $i$ in $\pi_1,\pi_2,\dots,\pi_n$.
In other words, this is the number of descents of the inverse permutation. It can be also be described as the number of occurrences of the mesh pattern $([2,1], {(0,1),(1,1),(2,1)})$, i.e., the middle row is shaded.
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
left-right symmetry
Description
Return the left-right symmetrized tree of a binary tree.
Map
left rotate
Description
Return the result of left rotation applied to a binary tree.
Left rotation on binary trees is defined as follows: Let $T$ be a binary tree such that the right child of the root of $T$ is a node. Let $A$ be the left child of the root of $T$, and let $B$ and $C$ be the left and right children of the right child of the root of $T$. (Keep in mind that nodes of trees are identified with the subtrees consisting of their descendants.) Then, the left rotation of $T$ is the binary tree in which the right child of the root is $C$, whereas the left child of the root is a node whose left and right children are $A$ and $B$.