Identifier
-
Mp00061:
Permutations
—to increasing tree⟶
Binary trees
Mp00018: Binary trees —left border symmetry⟶ Binary trees
Mp00014: Binary trees —to 132-avoiding permutation⟶ Permutations
St000209: Permutations ⟶ ℤ
Values
[1] => [.,.] => [.,.] => [1] => 0
[1,2] => [.,[.,.]] => [.,[.,.]] => [2,1] => 1
[2,1] => [[.,.],.] => [[.,.],.] => [1,2] => 0
[1,2,3] => [.,[.,[.,.]]] => [.,[.,[.,.]]] => [3,2,1] => 2
[1,3,2] => [.,[[.,.],.]] => [.,[[.,.],.]] => [2,3,1] => 2
[2,1,3] => [[.,.],[.,.]] => [[.,[.,.]],.] => [2,1,3] => 1
[2,3,1] => [[.,[.,.]],.] => [[.,.],[.,.]] => [3,1,2] => 2
[3,1,2] => [[.,.],[.,.]] => [[.,[.,.]],.] => [2,1,3] => 1
[3,2,1] => [[[.,.],.],.] => [[[.,.],.],.] => [1,2,3] => 0
[1,2,3,4] => [.,[.,[.,[.,.]]]] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 3
[1,2,4,3] => [.,[.,[[.,.],.]]] => [.,[.,[[.,.],.]]] => [3,4,2,1] => 3
[1,3,2,4] => [.,[[.,.],[.,.]]] => [.,[[.,[.,.]],.]] => [3,2,4,1] => 3
[1,3,4,2] => [.,[[.,[.,.]],.]] => [.,[[.,.],[.,.]]] => [4,2,3,1] => 3
[1,4,2,3] => [.,[[.,.],[.,.]]] => [.,[[.,[.,.]],.]] => [3,2,4,1] => 3
[1,4,3,2] => [.,[[[.,.],.],.]] => [.,[[[.,.],.],.]] => [2,3,4,1] => 3
[2,1,3,4] => [[.,.],[.,[.,.]]] => [[.,[.,[.,.]]],.] => [3,2,1,4] => 2
[2,1,4,3] => [[.,.],[[.,.],.]] => [[.,[[.,.],.]],.] => [2,3,1,4] => 2
[2,3,1,4] => [[.,[.,.]],[.,.]] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 3
[2,3,4,1] => [[.,[.,[.,.]]],.] => [[.,.],[.,[.,.]]] => [4,3,1,2] => 3
[2,4,1,3] => [[.,[.,.]],[.,.]] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 3
[2,4,3,1] => [[.,[[.,.],.]],.] => [[.,.],[[.,.],.]] => [3,4,1,2] => 2
[3,1,2,4] => [[.,.],[.,[.,.]]] => [[.,[.,[.,.]]],.] => [3,2,1,4] => 2
[3,1,4,2] => [[.,.],[[.,.],.]] => [[.,[[.,.],.]],.] => [2,3,1,4] => 2
[3,2,1,4] => [[[.,.],.],[.,.]] => [[[.,[.,.]],.],.] => [2,1,3,4] => 1
[3,2,4,1] => [[[.,.],[.,.]],.] => [[[.,.],[.,.]],.] => [3,1,2,4] => 2
[3,4,1,2] => [[.,[.,.]],[.,.]] => [[.,[.,.]],[.,.]] => [4,2,1,3] => 3
[3,4,2,1] => [[[.,[.,.]],.],.] => [[[.,.],.],[.,.]] => [4,1,2,3] => 3
[4,1,2,3] => [[.,.],[.,[.,.]]] => [[.,[.,[.,.]]],.] => [3,2,1,4] => 2
[4,1,3,2] => [[.,.],[[.,.],.]] => [[.,[[.,.],.]],.] => [2,3,1,4] => 2
[4,2,1,3] => [[[.,.],.],[.,.]] => [[[.,[.,.]],.],.] => [2,1,3,4] => 1
[4,2,3,1] => [[[.,.],[.,.]],.] => [[[.,.],[.,.]],.] => [3,1,2,4] => 2
[4,3,1,2] => [[[.,.],.],[.,.]] => [[[.,[.,.]],.],.] => [2,1,3,4] => 1
[4,3,2,1] => [[[[.,.],.],.],.] => [[[[.,.],.],.],.] => [1,2,3,4] => 0
[1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 4
[1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 4
[1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 4
[1,2,4,5,3] => [.,[.,[[.,[.,.]],.]]] => [.,[.,[[.,.],[.,.]]]] => [5,3,4,2,1] => 4
[1,2,5,3,4] => [.,[.,[[.,.],[.,.]]]] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 4
[1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 4
[1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 4
[1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 4
[1,3,4,2,5] => [.,[[.,[.,.]],[.,.]]] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 4
[1,3,4,5,2] => [.,[[.,[.,[.,.]]],.]] => [.,[[.,.],[.,[.,.]]]] => [5,4,2,3,1] => 4
[1,3,5,2,4] => [.,[[.,[.,.]],[.,.]]] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 4
[1,3,5,4,2] => [.,[[.,[[.,.],.]],.]] => [.,[[.,.],[[.,.],.]]] => [4,5,2,3,1] => 4
[1,4,2,3,5] => [.,[[.,.],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 4
[1,4,2,5,3] => [.,[[.,.],[[.,.],.]]] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 4
[1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 4
[1,4,3,5,2] => [.,[[[.,.],[.,.]],.]] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 4
[1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => [.,[[.,[.,.]],[.,.]]] => [5,3,2,4,1] => 4
[1,4,5,3,2] => [.,[[[.,[.,.]],.],.]] => [.,[[[.,.],.],[.,.]]] => [5,2,3,4,1] => 4
[1,5,2,3,4] => [.,[[.,.],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 4
[1,5,2,4,3] => [.,[[.,.],[[.,.],.]]] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 4
[1,5,3,2,4] => [.,[[[.,.],.],[.,.]]] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 4
[1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => [.,[[[.,.],[.,.]],.]] => [4,2,3,5,1] => 4
[1,5,4,2,3] => [.,[[[.,.],.],[.,.]]] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 4
[1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 4
[2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 3
[2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 3
[2,1,4,3,5] => [[.,.],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 3
[2,1,4,5,3] => [[.,.],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 3
[2,1,5,3,4] => [[.,.],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 3
[2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 3
[2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 4
[2,3,1,5,4] => [[.,[.,.]],[[.,.],.]] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 4
[2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 4
[2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.] => [[.,.],[.,[.,[.,.]]]] => [5,4,3,1,2] => 4
[2,3,5,1,4] => [[.,[.,[.,.]]],[.,.]] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 4
[2,3,5,4,1] => [[.,[.,[[.,.],.]]],.] => [[.,.],[.,[[.,.],.]]] => [4,5,3,1,2] => 3
[2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 4
[2,4,1,5,3] => [[.,[.,.]],[[.,.],.]] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 4
[2,4,3,1,5] => [[.,[[.,.],.]],[.,.]] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 3
[2,4,3,5,1] => [[.,[[.,.],[.,.]]],.] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 3
[2,4,5,1,3] => [[.,[.,[.,.]]],[.,.]] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 4
[2,4,5,3,1] => [[.,[[.,[.,.]],.]],.] => [[.,.],[[.,.],[.,.]]] => [5,3,4,1,2] => 4
[2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 4
[2,5,1,4,3] => [[.,[.,.]],[[.,.],.]] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 4
[2,5,3,1,4] => [[.,[[.,.],.]],[.,.]] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 3
[2,5,3,4,1] => [[.,[[.,.],[.,.]]],.] => [[.,.],[[.,[.,.]],.]] => [4,3,5,1,2] => 3
[2,5,4,1,3] => [[.,[[.,.],.]],[.,.]] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 3
[2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => [[.,.],[[[.,.],.],.]] => [3,4,5,1,2] => 4
[3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 3
[3,1,2,5,4] => [[.,.],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 3
[3,1,4,2,5] => [[.,.],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 3
[3,1,4,5,2] => [[.,.],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 3
[3,1,5,2,4] => [[.,.],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 3
[3,1,5,4,2] => [[.,.],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 3
[3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 2
[3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 2
[3,2,4,1,5] => [[[.,.],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 3
[3,2,4,5,1] => [[[.,.],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 3
[3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 3
[3,2,5,4,1] => [[[.,.],[[.,.],.]],.] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 2
[3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 4
[3,4,1,5,2] => [[.,[.,.]],[[.,.],.]] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 4
[3,4,2,1,5] => [[[.,[.,.]],.],[.,.]] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 4
[3,4,2,5,1] => [[[.,[.,.]],[.,.]],.] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 4
[3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]] => [[.,[.,.]],[.,[.,.]]] => [5,4,2,1,3] => 4
[3,4,5,2,1] => [[[.,[.,[.,.]]],.],.] => [[[.,.],.],[.,[.,.]]] => [5,4,1,2,3] => 4
[3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 4
[3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 4
>>> Load all 874 entries. <<<[3,5,2,1,4] => [[[.,[.,.]],.],[.,.]] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 4
[3,5,2,4,1] => [[[.,[.,.]],[.,.]],.] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 4
[3,5,4,1,2] => [[.,[[.,.],.]],[.,.]] => [[.,[.,.]],[[.,.],.]] => [4,5,2,1,3] => 3
[3,5,4,2,1] => [[[.,[[.,.],.]],.],.] => [[[.,.],.],[[.,.],.]] => [4,5,1,2,3] => 4
[4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 3
[4,1,2,5,3] => [[.,.],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 3
[4,1,3,2,5] => [[.,.],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 3
[4,1,3,5,2] => [[.,.],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 3
[4,1,5,2,3] => [[.,.],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 3
[4,1,5,3,2] => [[.,.],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 3
[4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 2
[4,2,1,5,3] => [[[.,.],.],[[.,.],.]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 2
[4,2,3,1,5] => [[[.,.],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 3
[4,2,3,5,1] => [[[.,.],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 3
[4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 3
[4,2,5,3,1] => [[[.,.],[[.,.],.]],.] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 2
[4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 2
[4,3,1,5,2] => [[[.,.],.],[[.,.],.]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 2
[4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 1
[4,3,2,5,1] => [[[[.,.],.],[.,.]],.] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 2
[4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 3
[4,3,5,2,1] => [[[[.,.],[.,.]],.],.] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 3
[4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,.]] => [5,3,2,1,4] => 4
[4,5,1,3,2] => [[.,[.,.]],[[.,.],.]] => [[.,[[.,.],.]],[.,.]] => [5,2,3,1,4] => 4
[4,5,2,1,3] => [[[.,[.,.]],.],[.,.]] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 4
[4,5,2,3,1] => [[[.,[.,.]],[.,.]],.] => [[[.,.],[.,.]],[.,.]] => [5,3,1,2,4] => 4
[4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => [[[.,[.,.]],.],[.,.]] => [5,2,1,3,4] => 4
[4,5,3,2,1] => [[[[.,[.,.]],.],.],.] => [[[[.,.],.],.],[.,.]] => [5,1,2,3,4] => 4
[5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 3
[5,1,2,4,3] => [[.,.],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 3
[5,1,3,2,4] => [[.,.],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 3
[5,1,3,4,2] => [[.,.],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],.] => [4,2,3,1,5] => 3
[5,1,4,2,3] => [[.,.],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 3
[5,1,4,3,2] => [[.,.],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 3
[5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 2
[5,2,1,4,3] => [[[.,.],.],[[.,.],.]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 2
[5,2,3,1,4] => [[[.,.],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 3
[5,2,3,4,1] => [[[.,.],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],.] => [4,3,1,2,5] => 3
[5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 3
[5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => [[[.,.],[[.,.],.]],.] => [3,4,1,2,5] => 2
[5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 2
[5,3,1,4,2] => [[[.,.],.],[[.,.],.]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 2
[5,3,2,1,4] => [[[[.,.],.],.],[.,.]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 1
[5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 2
[5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],.] => [4,2,1,3,5] => 3
[5,3,4,2,1] => [[[[.,.],[.,.]],.],.] => [[[[.,.],.],[.,.]],.] => [4,1,2,3,5] => 3
[5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 2
[5,4,1,3,2] => [[[.,.],.],[[.,.],.]] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 2
[5,4,2,1,3] => [[[[.,.],.],.],[.,.]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 1
[5,4,2,3,1] => [[[[.,.],.],[.,.]],.] => [[[[.,.],[.,.]],.],.] => [3,1,2,4,5] => 2
[5,4,3,1,2] => [[[[.,.],.],.],[.,.]] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 1
[5,4,3,2,1] => [[[[[.,.],.],.],.],.] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 5
[1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 5
[1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 5
[1,2,3,5,6,4] => [.,[.,[.,[[.,[.,.]],.]]]] => [.,[.,[.,[[.,.],[.,.]]]]] => [6,4,5,3,2,1] => 5
[1,2,3,6,4,5] => [.,[.,[.,[[.,.],[.,.]]]]] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 5
[1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 5
[1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 5
[1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 5
[1,2,4,5,3,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 5
[1,2,4,5,6,3] => [.,[.,[[.,[.,[.,.]]],.]]] => [.,[.,[[.,.],[.,[.,.]]]]] => [6,5,3,4,2,1] => 5
[1,2,4,6,3,5] => [.,[.,[[.,[.,.]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 5
[1,2,4,6,5,3] => [.,[.,[[.,[[.,.],.]],.]]] => [.,[.,[[.,.],[[.,.],.]]]] => [5,6,3,4,2,1] => 5
[1,2,5,3,4,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 5
[1,2,5,3,6,4] => [.,[.,[[.,.],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 5
[1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 5
[1,2,5,4,6,3] => [.,[.,[[[.,.],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 5
[1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [.,[.,[[.,[.,.]],[.,.]]]] => [6,4,3,5,2,1] => 5
[1,2,5,6,4,3] => [.,[.,[[[.,[.,.]],.],.]]] => [.,[.,[[[.,.],.],[.,.]]]] => [6,3,4,5,2,1] => 5
[1,2,6,3,4,5] => [.,[.,[[.,.],[.,[.,.]]]]] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 5
[1,2,6,3,5,4] => [.,[.,[[.,.],[[.,.],.]]]] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 5
[1,2,6,4,3,5] => [.,[.,[[[.,.],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 5
[1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => [.,[.,[[[.,.],[.,.]],.]]] => [5,3,4,6,2,1] => 5
[1,2,6,5,3,4] => [.,[.,[[[.,.],.],[.,.]]]] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 5
[1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 5
[1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 5
[1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 5
[1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 5
[1,3,2,5,6,4] => [.,[[.,.],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 5
[1,3,2,6,4,5] => [.,[[.,.],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 5
[1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 5
[1,3,4,2,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 5
[1,3,4,2,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 5
[1,3,4,5,2,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 5
[1,3,4,5,6,2] => [.,[[.,[.,[.,[.,.]]]],.]] => [.,[[.,.],[.,[.,[.,.]]]]] => [6,5,4,2,3,1] => 5
[1,3,4,6,2,5] => [.,[[.,[.,[.,.]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 5
[1,3,4,6,5,2] => [.,[[.,[.,[[.,.],.]]],.]] => [.,[[.,.],[.,[[.,.],.]]]] => [5,6,4,2,3,1] => 5
[1,3,5,2,4,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 5
[1,3,5,2,6,4] => [.,[[.,[.,.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 5
[1,3,5,4,2,6] => [.,[[.,[[.,.],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 5
[1,3,5,4,6,2] => [.,[[.,[[.,.],[.,.]]],.]] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 5
[1,3,5,6,2,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 5
[1,3,5,6,4,2] => [.,[[.,[[.,[.,.]],.]],.]] => [.,[[.,.],[[.,.],[.,.]]]] => [6,4,5,2,3,1] => 5
[1,3,6,2,4,5] => [.,[[.,[.,.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 5
[1,3,6,2,5,4] => [.,[[.,[.,.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 5
[1,3,6,4,2,5] => [.,[[.,[[.,.],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 5
[1,3,6,4,5,2] => [.,[[.,[[.,.],[.,.]]],.]] => [.,[[.,.],[[.,[.,.]],.]]] => [5,4,6,2,3,1] => 5
[1,3,6,5,2,4] => [.,[[.,[[.,.],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 5
[1,3,6,5,4,2] => [.,[[.,[[[.,.],.],.]],.]] => [.,[[.,.],[[[.,.],.],.]]] => [4,5,6,2,3,1] => 5
[1,4,2,3,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 5
[1,4,2,3,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 5
[1,4,2,5,3,6] => [.,[[.,.],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 5
[1,4,2,5,6,3] => [.,[[.,.],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 5
[1,4,2,6,3,5] => [.,[[.,.],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 5
[1,4,2,6,5,3] => [.,[[.,.],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 5
[1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 5
[1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 5
[1,4,3,5,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 5
[1,4,3,5,6,2] => [.,[[[.,.],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 5
[1,4,3,6,2,5] => [.,[[[.,.],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 5
[1,4,3,6,5,2] => [.,[[[.,.],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 5
[1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 5
[1,4,5,2,6,3] => [.,[[.,[.,.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 5
[1,4,5,3,2,6] => [.,[[[.,[.,.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 5
[1,4,5,3,6,2] => [.,[[[.,[.,.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 5
[1,4,5,6,2,3] => [.,[[.,[.,[.,.]]],[.,.]]] => [.,[[.,[.,.]],[.,[.,.]]]] => [6,5,3,2,4,1] => 5
[1,4,5,6,3,2] => [.,[[[.,[.,[.,.]]],.],.]] => [.,[[[.,.],.],[.,[.,.]]]] => [6,5,2,3,4,1] => 5
[1,4,6,2,3,5] => [.,[[.,[.,.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 5
[1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 5
[1,4,6,3,2,5] => [.,[[[.,[.,.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 5
[1,4,6,3,5,2] => [.,[[[.,[.,.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 5
[1,4,6,5,2,3] => [.,[[.,[[.,.],.]],[.,.]]] => [.,[[.,[.,.]],[[.,.],.]]] => [5,6,3,2,4,1] => 5
[1,4,6,5,3,2] => [.,[[[.,[[.,.],.]],.],.]] => [.,[[[.,.],.],[[.,.],.]]] => [5,6,2,3,4,1] => 5
[1,5,2,3,4,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 5
[1,5,2,3,6,4] => [.,[[.,.],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 5
[1,5,2,4,3,6] => [.,[[.,.],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 5
[1,5,2,4,6,3] => [.,[[.,.],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 5
[1,5,2,6,3,4] => [.,[[.,.],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 5
[1,5,2,6,4,3] => [.,[[.,.],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 5
[1,5,3,2,4,6] => [.,[[[.,.],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 5
[1,5,3,2,6,4] => [.,[[[.,.],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 5
[1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 5
[1,5,3,4,6,2] => [.,[[[.,.],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 5
[1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 5
[1,5,3,6,4,2] => [.,[[[.,.],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 5
[1,5,4,2,3,6] => [.,[[[.,.],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 5
[1,5,4,2,6,3] => [.,[[[.,.],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 5
[1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 5
[1,5,4,3,6,2] => [.,[[[[.,.],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => 5
[1,5,4,6,2,3] => [.,[[[.,.],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 5
[1,5,4,6,3,2] => [.,[[[[.,.],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => 5
[1,5,6,2,3,4] => [.,[[.,[.,.]],[.,[.,.]]]] => [.,[[.,[.,[.,.]]],[.,.]]] => [6,4,3,2,5,1] => 5
[1,5,6,2,4,3] => [.,[[.,[.,.]],[[.,.],.]]] => [.,[[.,[[.,.],.]],[.,.]]] => [6,3,4,2,5,1] => 5
[1,5,6,3,2,4] => [.,[[[.,[.,.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 5
[1,5,6,3,4,2] => [.,[[[.,[.,.]],[.,.]],.]] => [.,[[[.,.],[.,.]],[.,.]]] => [6,4,2,3,5,1] => 5
[1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [.,[[[.,[.,.]],.],[.,.]]] => [6,3,2,4,5,1] => 5
[1,5,6,4,3,2] => [.,[[[[.,[.,.]],.],.],.]] => [.,[[[[.,.],.],.],[.,.]]] => [6,2,3,4,5,1] => 5
[1,6,2,3,4,5] => [.,[[.,.],[.,[.,[.,.]]]]] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 5
[1,6,2,3,5,4] => [.,[[.,.],[.,[[.,.],.]]]] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 5
[1,6,2,4,3,5] => [.,[[.,.],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 5
[1,6,2,4,5,3] => [.,[[.,.],[[.,[.,.]],.]]] => [.,[[.,[[.,.],[.,.]]],.]] => [5,3,4,2,6,1] => 5
[1,6,2,5,3,4] => [.,[[.,.],[[.,.],[.,.]]]] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 5
[1,6,2,5,4,3] => [.,[[.,.],[[[.,.],.],.]]] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 5
[1,6,3,2,4,5] => [.,[[[.,.],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 5
[1,6,3,2,5,4] => [.,[[[.,.],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 5
[1,6,3,4,2,5] => [.,[[[.,.],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 5
[1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => [.,[[[.,.],[.,[.,.]]],.]] => [5,4,2,3,6,1] => 5
[1,6,3,5,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 5
[1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]] => [.,[[[.,.],[[.,.],.]],.]] => [4,5,2,3,6,1] => 5
[1,6,4,2,3,5] => [.,[[[.,.],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 5
[1,6,4,2,5,3] => [.,[[[.,.],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 5
[1,6,4,3,2,5] => [.,[[[[.,.],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 5
[1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => 5
[1,6,4,5,2,3] => [.,[[[.,.],[.,.]],[.,.]]] => [.,[[[.,[.,.]],[.,.]],.]] => [5,3,2,4,6,1] => 5
[1,6,4,5,3,2] => [.,[[[[.,.],[.,.]],.],.]] => [.,[[[[.,.],.],[.,.]],.]] => [5,2,3,4,6,1] => 5
[1,6,5,2,3,4] => [.,[[[.,.],.],[.,[.,.]]]] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 5
[1,6,5,2,4,3] => [.,[[[.,.],.],[[.,.],.]]] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 5
[1,6,5,3,2,4] => [.,[[[[.,.],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 5
[1,6,5,3,4,2] => [.,[[[[.,.],.],[.,.]],.]] => [.,[[[[.,.],[.,.]],.],.]] => [4,2,3,5,6,1] => 5
[1,6,5,4,2,3] => [.,[[[[.,.],.],.],[.,.]]] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 5
[1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => 5
[2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 4
[2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 4
[2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 4
[2,1,3,5,6,4] => [[.,.],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => 4
[2,1,3,6,4,5] => [[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 4
[2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 4
[2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[2,1,4,5,3,6] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[2,1,4,5,6,3] => [[.,.],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => 4
[2,1,4,6,3,5] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[2,1,4,6,5,3] => [[.,.],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => 4
[2,1,5,3,4,6] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[2,1,5,3,6,4] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[2,1,5,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[2,1,5,4,6,3] => [[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => 4
[2,1,5,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[2,1,5,6,4,3] => [[.,.],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => 4
[2,1,6,3,4,5] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[2,1,6,3,5,4] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[2,1,6,4,3,5] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[2,1,6,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => 4
[2,1,6,5,3,4] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 4
[2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 5
[2,3,1,4,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 5
[2,3,1,5,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[2,3,1,5,6,4] => [[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 5
[2,3,1,6,4,5] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[2,3,1,6,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 5
[2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 5
[2,3,4,1,6,5] => [[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => 5
[2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 5
[2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.] => [[.,.],[.,[.,[.,[.,.]]]]] => [6,5,4,3,1,2] => 5
[2,3,4,6,1,5] => [[.,[.,[.,[.,.]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 5
[2,3,4,6,5,1] => [[.,[.,[.,[[.,.],.]]]],.] => [[.,.],[.,[.,[[.,.],.]]]] => [5,6,4,3,1,2] => 4
[2,3,5,1,4,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 5
[2,3,5,1,6,4] => [[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => 5
[2,3,5,4,1,6] => [[.,[.,[[.,.],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => 4
[2,3,5,4,6,1] => [[.,[.,[[.,.],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => 4
[2,3,5,6,1,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 5
[2,3,5,6,4,1] => [[.,[.,[[.,[.,.]],.]]],.] => [[.,.],[.,[[.,.],[.,.]]]] => [6,4,5,3,1,2] => 5
[2,3,6,1,4,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 5
[2,3,6,1,5,4] => [[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => 5
[2,3,6,4,1,5] => [[.,[.,[[.,.],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => 4
[2,3,6,4,5,1] => [[.,[.,[[.,.],[.,.]]]],.] => [[.,.],[.,[[.,[.,.]],.]]] => [5,4,6,3,1,2] => 4
[2,3,6,5,1,4] => [[.,[.,[[.,.],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => 4
[2,3,6,5,4,1] => [[.,[.,[[[.,.],.],.]]],.] => [[.,.],[.,[[[.,.],.],.]]] => [4,5,6,3,1,2] => 5
[2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 5
[2,4,1,3,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 5
[2,4,1,5,3,6] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[2,4,1,5,6,3] => [[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 5
[2,4,1,6,3,5] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[2,4,1,6,5,3] => [[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 5
[2,4,3,1,5,6] => [[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 4
[2,4,3,1,6,5] => [[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 4
[2,4,3,5,1,6] => [[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => 4
[2,4,3,5,6,1] => [[.,[[.,.],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => 4
[2,4,3,6,1,5] => [[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => 4
[2,4,3,6,5,1] => [[.,[[.,.],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => 5
[2,4,5,1,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 5
[2,4,5,1,6,3] => [[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => 5
[2,4,5,3,1,6] => [[.,[[.,[.,.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => 5
[2,4,5,3,6,1] => [[.,[[.,[.,.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => 5
[2,4,5,6,1,3] => [[.,[.,[.,[.,.]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 5
[2,4,5,6,3,1] => [[.,[[.,[.,[.,.]]],.]],.] => [[.,.],[[.,.],[.,[.,.]]]] => [6,5,3,4,1,2] => 5
[2,4,6,1,3,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 5
[2,4,6,1,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => 5
[2,4,6,3,1,5] => [[.,[[.,[.,.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => 5
[2,4,6,3,5,1] => [[.,[[.,[.,.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => 5
[2,4,6,5,1,3] => [[.,[.,[[.,.],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => 4
[2,4,6,5,3,1] => [[.,[[.,[[.,.],.]],.]],.] => [[.,.],[[.,.],[[.,.],.]]] => [5,6,3,4,1,2] => 4
[2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 5
[2,5,1,3,6,4] => [[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 5
[2,5,1,4,3,6] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[2,5,1,4,6,3] => [[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 5
[2,5,1,6,3,4] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[2,5,1,6,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 5
[2,5,3,1,4,6] => [[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 4
[2,5,3,1,6,4] => [[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 4
[2,5,3,4,1,6] => [[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => 4
[2,5,3,4,6,1] => [[.,[[.,.],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => 4
[2,5,3,6,1,4] => [[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => 4
[2,5,3,6,4,1] => [[.,[[.,.],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => 5
[2,5,4,1,3,6] => [[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 4
[2,5,4,1,6,3] => [[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 4
[2,5,4,3,1,6] => [[.,[[[.,.],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => 4
[2,5,4,3,6,1] => [[.,[[[.,.],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => 5
[2,5,4,6,1,3] => [[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => 4
[2,5,4,6,3,1] => [[.,[[[.,.],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => 4
[2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 5
[2,5,6,1,4,3] => [[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => 5
[2,5,6,3,1,4] => [[.,[[.,[.,.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => 5
[2,5,6,3,4,1] => [[.,[[.,[.,.]],[.,.]]],.] => [[.,.],[[.,[.,.]],[.,.]]] => [6,4,3,5,1,2] => 5
[2,5,6,4,1,3] => [[.,[[.,[.,.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => 5
[2,5,6,4,3,1] => [[.,[[[.,[.,.]],.],.]],.] => [[.,.],[[[.,.],.],[.,.]]] => [6,3,4,5,1,2] => 5
[2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 5
[2,6,1,3,5,4] => [[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 5
[2,6,1,4,3,5] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[2,6,1,4,5,3] => [[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 5
[2,6,1,5,3,4] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 5
[2,6,3,1,4,5] => [[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 4
[2,6,3,1,5,4] => [[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 4
[2,6,3,4,1,5] => [[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => 4
[2,6,3,4,5,1] => [[.,[[.,.],[.,[.,.]]]],.] => [[.,.],[[.,[.,[.,.]]],.]] => [5,4,3,6,1,2] => 4
[2,6,3,5,1,4] => [[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => 4
[2,6,3,5,4,1] => [[.,[[.,.],[[.,.],.]]],.] => [[.,.],[[.,[[.,.],.]],.]] => [4,5,3,6,1,2] => 5
[2,6,4,1,3,5] => [[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 4
[2,6,4,1,5,3] => [[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 4
[2,6,4,3,1,5] => [[.,[[[.,.],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => 4
[2,6,4,3,5,1] => [[.,[[[.,.],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => 5
[2,6,4,5,1,3] => [[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => 4
[2,6,4,5,3,1] => [[.,[[[.,.],[.,.]],.]],.] => [[.,.],[[[.,.],[.,.]],.]] => [5,3,4,6,1,2] => 4
[2,6,5,1,3,4] => [[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 4
[2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 4
[2,6,5,3,1,4] => [[.,[[[.,.],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => 4
[2,6,5,3,4,1] => [[.,[[[.,.],.],[.,.]]],.] => [[.,.],[[[.,[.,.]],.],.]] => [4,3,5,6,1,2] => 5
[2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => 4
[2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [[.,.],[[[[.,.],.],.],.]] => [3,4,5,6,1,2] => 4
[3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 4
[3,1,2,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 4
[3,1,2,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 4
[3,1,2,5,6,4] => [[.,.],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => 4
[3,1,2,6,4,5] => [[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 4
[3,1,2,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 4
[3,1,4,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[3,1,4,2,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[3,1,4,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => 4
[3,1,4,6,2,5] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[3,1,4,6,5,2] => [[.,.],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => 4
[3,1,5,2,4,6] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[3,1,5,2,6,4] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[3,1,5,4,2,6] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[3,1,5,4,6,2] => [[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => 4
[3,1,5,6,2,4] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[3,1,5,6,4,2] => [[.,.],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => 4
[3,1,6,2,4,5] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[3,1,6,2,5,4] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[3,1,6,4,2,5] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[3,1,6,4,5,2] => [[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => 4
[3,1,6,5,2,4] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 4
[3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 3
[3,2,1,4,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 3
[3,2,1,5,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[3,2,1,5,6,4] => [[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => 3
[3,2,1,6,4,5] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 3
[3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[3,2,4,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => 4
[3,2,4,6,1,5] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[3,2,4,6,5,1] => [[[.,.],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => 3
[3,2,5,1,4,6] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[3,2,5,1,6,4] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[3,2,5,4,1,6] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[3,2,5,4,6,1] => [[[.,.],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => 3
[3,2,5,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[3,2,5,6,4,1] => [[[.,.],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => 4
[3,2,6,1,4,5] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[3,2,6,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[3,2,6,4,1,5] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[3,2,6,4,5,1] => [[[.,.],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => 3
[3,2,6,5,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => 4
[3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 5
[3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 5
[3,4,1,5,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[3,4,1,5,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 5
[3,4,1,6,2,5] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[3,4,1,6,5,2] => [[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 5
[3,4,2,1,5,6] => [[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 5
[3,4,2,1,6,5] => [[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 5
[3,4,2,5,1,6] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[3,4,2,5,6,1] => [[[.,[.,.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => 5
[3,4,2,6,1,5] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[3,4,2,6,5,1] => [[[.,[.,.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 5
[3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 5
[3,4,5,1,6,2] => [[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => 5
[3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => 5
[3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 5
[3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]] => [[.,[.,.]],[.,[.,[.,.]]]] => [6,5,4,2,1,3] => 5
[3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.] => [[[.,.],.],[.,[.,[.,.]]]] => [6,5,4,1,2,3] => 5
[3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 5
[3,4,6,1,5,2] => [[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => 5
[3,4,6,2,1,5] => [[[.,[.,[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => 5
[3,4,6,2,5,1] => [[[.,[.,[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 5
[3,4,6,5,1,2] => [[.,[.,[[.,.],.]]],[.,.]] => [[.,[.,.]],[.,[[.,.],.]]] => [5,6,4,2,1,3] => 4
[3,4,6,5,2,1] => [[[.,[.,[[.,.],.]]],.],.] => [[[.,.],.],[.,[[.,.],.]]] => [5,6,4,1,2,3] => 5
[3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 5
[3,5,1,2,6,4] => [[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 5
[3,5,1,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[3,5,1,4,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 5
[3,5,1,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[3,5,1,6,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 5
[3,5,2,1,4,6] => [[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 5
[3,5,2,1,6,4] => [[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 5
[3,5,2,4,1,6] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[3,5,2,4,6,1] => [[[.,[.,.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => 5
[3,5,2,6,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[3,5,2,6,4,1] => [[[.,[.,.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 5
[3,5,4,1,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 4
[3,5,4,1,6,2] => [[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 4
[3,5,4,2,1,6] => [[[.,[[.,.],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => 5
[3,5,4,2,6,1] => [[[.,[[.,.],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 5
[3,5,4,6,1,2] => [[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => 4
[3,5,4,6,2,1] => [[[.,[[.,.],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => 4
[3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 5
[3,5,6,1,4,2] => [[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => 5
[3,5,6,2,1,4] => [[[.,[.,[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => 5
[3,5,6,2,4,1] => [[[.,[.,[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 5
[3,5,6,4,1,2] => [[.,[[.,[.,.]],.]],[.,.]] => [[.,[.,.]],[[.,.],[.,.]]] => [6,4,5,2,1,3] => 5
[3,5,6,4,2,1] => [[[.,[[.,[.,.]],.]],.],.] => [[[.,.],.],[[.,.],[.,.]]] => [6,4,5,1,2,3] => 5
[3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 5
[3,6,1,2,5,4] => [[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 5
[3,6,1,4,2,5] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[3,6,1,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 5
[3,6,1,5,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 5
[3,6,2,1,4,5] => [[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 5
[3,6,2,1,5,4] => [[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 5
[3,6,2,4,1,5] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[3,6,2,4,5,1] => [[[.,[.,.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => 5
[3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[3,6,2,5,4,1] => [[[.,[.,.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 5
[3,6,4,1,2,5] => [[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 4
[3,6,4,1,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 4
[3,6,4,2,1,5] => [[[.,[[.,.],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => 5
[3,6,4,2,5,1] => [[[.,[[.,.],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 5
[3,6,4,5,1,2] => [[.,[[.,.],[.,.]]],[.,.]] => [[.,[.,.]],[[.,[.,.]],.]] => [5,4,6,2,1,3] => 4
[3,6,4,5,2,1] => [[[.,[[.,.],[.,.]]],.],.] => [[[.,.],.],[[.,[.,.]],.]] => [5,4,6,1,2,3] => 4
[3,6,5,1,2,4] => [[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 4
[3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 4
[3,6,5,2,1,4] => [[[.,[[.,.],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => 5
[3,6,5,2,4,1] => [[[.,[[.,.],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 5
[3,6,5,4,1,2] => [[.,[[[.,.],.],.]],[.,.]] => [[.,[.,.]],[[[.,.],.],.]] => [4,5,6,2,1,3] => 4
[3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => [[[.,.],.],[[[.,.],.],.]] => [4,5,6,1,2,3] => 3
[4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 4
[4,1,2,3,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 4
[4,1,2,5,3,6] => [[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 4
[4,1,2,5,6,3] => [[.,.],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => 4
[4,1,2,6,3,5] => [[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 4
[4,1,2,6,5,3] => [[.,.],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 4
[4,1,3,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[4,1,3,2,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[4,1,3,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[4,1,3,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => 4
[4,1,3,6,2,5] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[4,1,3,6,5,2] => [[.,.],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => 4
[4,1,5,2,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[4,1,5,2,6,3] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[4,1,5,3,2,6] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[4,1,5,3,6,2] => [[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => 4
[4,1,5,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[4,1,5,6,3,2] => [[.,.],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => 4
[4,1,6,2,3,5] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[4,1,6,2,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[4,1,6,3,2,5] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[4,1,6,3,5,2] => [[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => 4
[4,1,6,5,2,3] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 4
[4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 3
[4,2,1,3,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 3
[4,2,1,5,3,6] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[4,2,1,5,6,3] => [[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => 3
[4,2,1,6,3,5] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[4,2,1,6,5,3] => [[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 3
[4,2,3,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[4,2,3,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[4,2,3,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[4,2,3,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => 4
[4,2,3,6,1,5] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[4,2,3,6,5,1] => [[[.,.],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => 3
[4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[4,2,5,1,6,3] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[4,2,5,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[4,2,5,3,6,1] => [[[.,.],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => 3
[4,2,5,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[4,2,5,6,3,1] => [[[.,.],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => 4
[4,2,6,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[4,2,6,3,1,5] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[4,2,6,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => 3
[4,2,6,5,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[4,2,6,5,3,1] => [[[.,.],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => 4
[4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 3
[4,3,1,2,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 3
[4,3,1,5,2,6] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[4,3,1,5,6,2] => [[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => 3
[4,3,1,6,2,5] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[4,3,1,6,5,2] => [[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 3
[4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 2
[4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 2
[4,3,2,5,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[4,3,2,5,6,1] => [[[[.,.],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => 3
[4,3,2,6,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[4,3,2,6,5,1] => [[[[.,.],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => 2
[4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[4,3,5,1,6,2] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[4,3,5,2,1,6] => [[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 4
[4,3,5,2,6,1] => [[[[.,.],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 4
[4,3,5,6,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[4,3,5,6,2,1] => [[[[.,.],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => 4
[4,3,6,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[4,3,6,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[4,3,6,2,1,5] => [[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 4
[4,3,6,2,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 4
[4,3,6,5,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[4,3,6,5,2,1] => [[[[.,.],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => 4
[4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 5
[4,5,1,2,6,3] => [[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 5
[4,5,1,3,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[4,5,1,3,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 5
[4,5,1,6,2,3] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[4,5,1,6,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 5
[4,5,2,1,3,6] => [[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 5
[4,5,2,1,6,3] => [[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 5
[4,5,2,3,1,6] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[4,5,2,3,6,1] => [[[.,[.,.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => 5
[4,5,2,6,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[4,5,2,6,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 5
[4,5,3,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 5
[4,5,3,1,6,2] => [[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 5
[4,5,3,2,1,6] => [[[[.,[.,.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => 5
[4,5,3,2,6,1] => [[[[.,[.,.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 5
[4,5,3,6,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[4,5,3,6,2,1] => [[[[.,[.,.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 5
[4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [[.,[.,[.,.]]],[.,[.,.]]] => [6,5,3,2,1,4] => 5
[4,5,6,1,3,2] => [[.,[.,[.,.]]],[[.,.],.]] => [[.,[[.,.],.]],[.,[.,.]]] => [6,5,2,3,1,4] => 5
[4,5,6,2,1,3] => [[[.,[.,[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => 5
[4,5,6,2,3,1] => [[[.,[.,[.,.]]],[.,.]],.] => [[[.,.],[.,.]],[.,[.,.]]] => [6,5,3,1,2,4] => 5
[4,5,6,3,1,2] => [[[.,[.,[.,.]]],.],[.,.]] => [[[.,[.,.]],.],[.,[.,.]]] => [6,5,2,1,3,4] => 5
[4,5,6,3,2,1] => [[[[.,[.,[.,.]]],.],.],.] => [[[[.,.],.],.],[.,[.,.]]] => [6,5,1,2,3,4] => 5
[4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 5
[4,6,1,2,5,3] => [[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 5
[4,6,1,3,2,5] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[4,6,1,3,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 5
[4,6,1,5,2,3] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 5
[4,6,2,1,3,5] => [[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 5
[4,6,2,1,5,3] => [[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 5
[4,6,2,3,1,5] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[4,6,2,3,5,1] => [[[.,[.,.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => 5
[4,6,2,5,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[4,6,2,5,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 5
[4,6,3,1,2,5] => [[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 5
[4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 5
[4,6,3,2,1,5] => [[[[.,[.,.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => 5
[4,6,3,2,5,1] => [[[[.,[.,.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 5
[4,6,3,5,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[4,6,3,5,2,1] => [[[[.,[.,.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 5
[4,6,5,1,2,3] => [[.,[[.,.],.]],[.,[.,.]]] => [[.,[.,[.,.]]],[[.,.],.]] => [5,6,3,2,1,4] => 4
[4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [[.,[[.,.],.]],[[.,.],.]] => [5,6,2,3,1,4] => 4
[4,6,5,2,1,3] => [[[.,[[.,.],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => 5
[4,6,5,2,3,1] => [[[.,[[.,.],.]],[.,.]],.] => [[[.,.],[.,.]],[[.,.],.]] => [5,6,3,1,2,4] => 5
[4,6,5,3,1,2] => [[[.,[[.,.],.]],.],[.,.]] => [[[.,[.,.]],.],[[.,.],.]] => [5,6,2,1,3,4] => 5
[4,6,5,3,2,1] => [[[[.,[[.,.],.]],.],.],.] => [[[[.,.],.],.],[[.,.],.]] => [5,6,1,2,3,4] => 4
[5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 4
[5,1,2,3,6,4] => [[.,.],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 4
[5,1,2,4,3,6] => [[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 4
[5,1,2,4,6,3] => [[.,.],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => 4
[5,1,2,6,3,4] => [[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 4
[5,1,2,6,4,3] => [[.,.],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 4
[5,1,3,2,4,6] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[5,1,3,2,6,4] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[5,1,3,4,2,6] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[5,1,3,4,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => 4
[5,1,3,6,2,4] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[5,1,3,6,4,2] => [[.,.],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => 4
[5,1,4,2,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[5,1,4,2,6,3] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[5,1,4,3,2,6] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[5,1,4,3,6,2] => [[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => 4
[5,1,4,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[5,1,4,6,3,2] => [[.,.],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => 4
[5,1,6,2,3,4] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[5,1,6,2,4,3] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[5,1,6,3,2,4] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[5,1,6,3,4,2] => [[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => 4
[5,1,6,4,2,3] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 4
[5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 3
[5,2,1,3,6,4] => [[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 3
[5,2,1,4,3,6] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[5,2,1,4,6,3] => [[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => 3
[5,2,1,6,3,4] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[5,2,1,6,4,3] => [[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 3
[5,2,3,1,4,6] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[5,2,3,1,6,4] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[5,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[5,2,3,4,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => 4
[5,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[5,2,3,6,4,1] => [[[.,.],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => 3
[5,2,4,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[5,2,4,1,6,3] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[5,2,4,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[5,2,4,3,6,1] => [[[.,.],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => 3
[5,2,4,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[5,2,4,6,3,1] => [[[.,.],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => 4
[5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[5,2,6,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[5,2,6,3,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[5,2,6,3,4,1] => [[[.,.],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => 3
[5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[5,2,6,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => 4
[5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 3
[5,3,1,2,6,4] => [[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 3
[5,3,1,4,2,6] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[5,3,1,4,6,2] => [[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => 3
[5,3,1,6,2,4] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[5,3,1,6,4,2] => [[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 3
[5,3,2,1,4,6] => [[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 2
[5,3,2,1,6,4] => [[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 2
[5,3,2,4,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[5,3,2,4,6,1] => [[[[.,.],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => 3
[5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[5,3,2,6,4,1] => [[[[.,.],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => 2
[5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[5,3,4,1,6,2] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[5,3,4,2,1,6] => [[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 4
[5,3,4,2,6,1] => [[[[.,.],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 4
[5,3,4,6,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[5,3,4,6,2,1] => [[[[.,.],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => 4
[5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[5,3,6,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[5,3,6,2,1,4] => [[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 4
[5,3,6,2,4,1] => [[[[.,.],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 4
[5,3,6,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[5,3,6,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => 4
[5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 3
[5,4,1,2,6,3] => [[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 3
[5,4,1,3,2,6] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[5,4,1,3,6,2] => [[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => 3
[5,4,1,6,2,3] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[5,4,1,6,3,2] => [[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 3
[5,4,2,1,3,6] => [[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 2
[5,4,2,1,6,3] => [[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 2
[5,4,2,3,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[5,4,2,3,6,1] => [[[[.,.],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => 3
[5,4,2,6,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[5,4,2,6,3,1] => [[[[.,.],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => 2
[5,4,3,1,2,6] => [[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 2
[5,4,3,1,6,2] => [[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 2
[5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 1
[5,4,3,2,6,1] => [[[[[.,.],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => 2
[5,4,3,6,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[5,4,3,6,2,1] => [[[[[.,.],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => 3
[5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[5,4,6,1,3,2] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 4
[5,4,6,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 4
[5,4,6,3,1,2] => [[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 4
[5,4,6,3,2,1] => [[[[[.,.],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => 4
[5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [[.,[.,[.,[.,.]]]],[.,.]] => [6,4,3,2,1,5] => 5
[5,6,1,2,4,3] => [[.,[.,.]],[.,[[.,.],.]]] => [[.,[.,[[.,.],.]]],[.,.]] => [6,3,4,2,1,5] => 5
[5,6,1,3,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[5,6,1,3,4,2] => [[.,[.,.]],[[.,[.,.]],.]] => [[.,[[.,.],[.,.]]],[.,.]] => [6,4,2,3,1,5] => 5
[5,6,1,4,2,3] => [[.,[.,.]],[[.,.],[.,.]]] => [[.,[[.,[.,.]],.]],[.,.]] => [6,3,2,4,1,5] => 5
[5,6,1,4,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [[.,[[[.,.],.],.]],[.,.]] => [6,2,3,4,1,5] => 5
[5,6,2,1,3,4] => [[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 5
[5,6,2,1,4,3] => [[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 5
[5,6,2,3,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[5,6,2,3,4,1] => [[[.,[.,.]],[.,[.,.]]],.] => [[[.,.],[.,[.,.]]],[.,.]] => [6,4,3,1,2,5] => 5
[5,6,2,4,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[5,6,2,4,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [[[.,.],[[.,.],.]],[.,.]] => [6,3,4,1,2,5] => 5
[5,6,3,1,2,4] => [[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 5
[5,6,3,1,4,2] => [[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 5
[5,6,3,2,1,4] => [[[[.,[.,.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => 5
[5,6,3,2,4,1] => [[[[.,[.,.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 5
[5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [[[.,[.,.]],[.,.]],[.,.]] => [6,4,2,1,3,5] => 5
[5,6,3,4,2,1] => [[[[.,[.,.]],[.,.]],.],.] => [[[[.,.],.],[.,.]],[.,.]] => [6,4,1,2,3,5] => 5
[5,6,4,1,2,3] => [[[.,[.,.]],.],[.,[.,.]]] => [[[.,[.,[.,.]]],.],[.,.]] => [6,3,2,1,4,5] => 5
[5,6,4,1,3,2] => [[[.,[.,.]],.],[[.,.],.]] => [[[.,[[.,.],.]],.],[.,.]] => [6,2,3,1,4,5] => 5
[5,6,4,2,1,3] => [[[[.,[.,.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => 5
[5,6,4,2,3,1] => [[[[.,[.,.]],.],[.,.]],.] => [[[[.,.],[.,.]],.],[.,.]] => [6,3,1,2,4,5] => 5
[5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [[[[.,[.,.]],.],.],[.,.]] => [6,2,1,3,4,5] => 5
[5,6,4,3,2,1] => [[[[[.,[.,.]],.],.],.],.] => [[[[[.,.],.],.],.],[.,.]] => [6,1,2,3,4,5] => 5
[6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 4
[6,1,2,3,5,4] => [[.,.],[.,[.,[[.,.],.]]]] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 4
[6,1,2,4,3,5] => [[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 4
[6,1,2,4,5,3] => [[.,.],[.,[[.,[.,.]],.]]] => [[.,[.,[[.,.],[.,.]]]],.] => [5,3,4,2,1,6] => 4
[6,1,2,5,3,4] => [[.,.],[.,[[.,.],[.,.]]]] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 4
[6,1,2,5,4,3] => [[.,.],[.,[[[.,.],.],.]]] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 4
[6,1,3,2,4,5] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[6,1,3,2,5,4] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[6,1,3,4,2,5] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[6,1,3,4,5,2] => [[.,.],[[.,[.,[.,.]]],.]] => [[.,[[.,.],[.,[.,.]]]],.] => [5,4,2,3,1,6] => 4
[6,1,3,5,2,4] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[6,1,3,5,4,2] => [[.,.],[[.,[[.,.],.]],.]] => [[.,[[.,.],[[.,.],.]]],.] => [4,5,2,3,1,6] => 4
[6,1,4,2,3,5] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[6,1,4,2,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[6,1,4,3,2,5] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[6,1,4,3,5,2] => [[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => 4
[6,1,4,5,2,3] => [[.,.],[[.,[.,.]],[.,.]]] => [[.,[[.,[.,.]],[.,.]]],.] => [5,3,2,4,1,6] => 4
[6,1,4,5,3,2] => [[.,.],[[[.,[.,.]],.],.]] => [[.,[[[.,.],.],[.,.]]],.] => [5,2,3,4,1,6] => 4
[6,1,5,2,3,4] => [[.,.],[[.,.],[.,[.,.]]]] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 4
[6,1,5,2,4,3] => [[.,.],[[.,.],[[.,.],.]]] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 4
[6,1,5,3,2,4] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[6,1,5,3,4,2] => [[.,.],[[[.,.],[.,.]],.]] => [[.,[[[.,.],[.,.]],.]],.] => [4,2,3,5,1,6] => 4
[6,1,5,4,2,3] => [[.,.],[[[.,.],.],[.,.]]] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 4
[6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 4
[6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 3
[6,2,1,3,5,4] => [[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 3
[6,2,1,4,3,5] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[6,2,1,4,5,3] => [[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => 3
[6,2,1,5,3,4] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[6,2,1,5,4,3] => [[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 3
[6,2,3,1,4,5] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[6,2,3,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[6,2,3,4,1,5] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.] => [[[.,.],[.,[.,[.,.]]]],.] => [5,4,3,1,2,6] => 4
[6,2,3,5,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[6,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],.] => [[[.,.],[.,[[.,.],.]]],.] => [4,5,3,1,2,6] => 3
[6,2,4,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[6,2,4,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[6,2,4,3,1,5] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[6,2,4,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => 3
[6,2,4,5,1,3] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[6,2,4,5,3,1] => [[[.,.],[[.,[.,.]],.]],.] => [[[.,.],[[.,.],[.,.]]],.] => [5,3,4,1,2,6] => 4
[6,2,5,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[6,2,5,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[6,2,5,3,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[6,2,5,3,4,1] => [[[.,.],[[.,.],[.,.]]],.] => [[[.,.],[[.,[.,.]],.]],.] => [4,3,5,1,2,6] => 3
[6,2,5,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [[[.,.],[[[.,.],.],.]],.] => [3,4,5,1,2,6] => 4
[6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 3
[6,3,1,2,5,4] => [[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 3
[6,3,1,4,2,5] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[6,3,1,4,5,2] => [[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => 3
[6,3,1,5,2,4] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[6,3,1,5,4,2] => [[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 3
[6,3,2,1,4,5] => [[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 2
[6,3,2,1,5,4] => [[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 2
[6,3,2,4,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => 3
[6,3,2,5,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => 2
[6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[6,3,4,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[6,3,4,2,1,5] => [[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 4
[6,3,4,2,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 4
[6,3,4,5,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => [[[.,[.,.]],[.,[.,.]]],.] => [5,4,2,1,3,6] => 4
[6,3,4,5,2,1] => [[[[.,.],[.,[.,.]]],.],.] => [[[[.,.],.],[.,[.,.]]],.] => [5,4,1,2,3,6] => 4
[6,3,5,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[6,3,5,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[6,3,5,2,1,4] => [[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 4
[6,3,5,2,4,1] => [[[[.,.],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 4
[6,3,5,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [[[.,[.,.]],[[.,.],.]],.] => [4,5,2,1,3,6] => 3
[6,3,5,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => [[[[.,.],.],[[.,.],.]],.] => [4,5,1,2,3,6] => 4
[6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 3
[6,4,1,2,5,3] => [[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 3
[6,4,1,3,2,5] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[6,4,1,3,5,2] => [[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => 3
[6,4,1,5,2,3] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[6,4,1,5,3,2] => [[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 3
[6,4,2,1,3,5] => [[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 2
[6,4,2,1,5,3] => [[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 2
[6,4,2,3,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[6,4,2,3,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => 3
[6,4,2,5,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[6,4,2,5,3,1] => [[[[.,.],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => 2
[6,4,3,1,2,5] => [[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 2
[6,4,3,1,5,2] => [[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 2
[6,4,3,2,1,5] => [[[[[.,.],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 1
[6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => 2
[6,4,3,5,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[6,4,3,5,2,1] => [[[[[.,.],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => 3
[6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [[[.,[.,[.,.]]],[.,.]],.] => [5,3,2,1,4,6] => 4
[6,4,5,1,3,2] => [[[.,.],[.,.]],[[.,.],.]] => [[[.,[[.,.],.]],[.,.]],.] => [5,2,3,1,4,6] => 4
[6,4,5,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 4
[6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [[[[.,.],[.,.]],[.,.]],.] => [5,3,1,2,4,6] => 4
[6,4,5,3,1,2] => [[[[.,.],[.,.]],.],[.,.]] => [[[[.,[.,.]],.],[.,.]],.] => [5,2,1,3,4,6] => 4
[6,4,5,3,2,1] => [[[[[.,.],[.,.]],.],.],.] => [[[[[.,.],.],.],[.,.]],.] => [5,1,2,3,4,6] => 4
[6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 3
[6,5,1,2,4,3] => [[[.,.],.],[.,[[.,.],.]]] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 3
[6,5,1,3,2,4] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[6,5,1,3,4,2] => [[[.,.],.],[[.,[.,.]],.]] => [[[.,[[.,.],[.,.]]],.],.] => [4,2,3,1,5,6] => 3
[6,5,1,4,2,3] => [[[.,.],.],[[.,.],[.,.]]] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 3
[6,5,1,4,3,2] => [[[.,.],.],[[[.,.],.],.]] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 3
[6,5,2,1,3,4] => [[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 2
[6,5,2,1,4,3] => [[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 2
[6,5,2,3,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[6,5,2,3,4,1] => [[[[.,.],.],[.,[.,.]]],.] => [[[[.,.],[.,[.,.]]],.],.] => [4,3,1,2,5,6] => 3
[6,5,2,4,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[6,5,2,4,3,1] => [[[[.,.],.],[[.,.],.]],.] => [[[[.,.],[[.,.],.]],.],.] => [3,4,1,2,5,6] => 2
[6,5,3,1,2,4] => [[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 2
[6,5,3,1,4,2] => [[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 2
[6,5,3,2,1,4] => [[[[[.,.],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 1
[6,5,3,2,4,1] => [[[[[.,.],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => 2
[6,5,3,4,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [[[[.,[.,.]],[.,.]],.],.] => [4,2,1,3,5,6] => 3
[6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => [[[[[.,.],.],[.,.]],.],.] => [4,1,2,3,5,6] => 3
[6,5,4,1,2,3] => [[[[.,.],.],.],[.,[.,.]]] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 2
[6,5,4,1,3,2] => [[[[.,.],.],.],[[.,.],.]] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 2
[6,5,4,2,1,3] => [[[[[.,.],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 1
[6,5,4,2,3,1] => [[[[[.,.],.],.],[.,.]],.] => [[[[[.,.],[.,.]],.],.],.] => [3,1,2,4,5,6] => 2
[6,5,4,3,1,2] => [[[[[.,.],.],.],.],[.,.]] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 1
[6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => 0
[7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => 0
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Generating function
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Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,2,3 1,3,9,11 1,4,18,44,53 1,5,30,112,266,306
$F_{1} = 1$
$F_{2} = 1 + q$
$F_{3} = 1 + 2\ q + 3\ q^{2}$
$F_{4} = 1 + 3\ q + 9\ q^{2} + 11\ q^{3}$
$F_{5} = 1 + 4\ q + 18\ q^{2} + 44\ q^{3} + 53\ q^{4}$
$F_{6} = 1 + 5\ q + 30\ q^{2} + 112\ q^{3} + 266\ q^{4} + 306\ q^{5}$
Description
Maximum difference of elements in cycles.
Given a cycle $C$ in a permutation, we can compute the maximum distance between elements in the cycle, that is $\max \{ a_i-a_j | a_i, a_j \in C \}$.
The statistic is then the maximum of this value over all cycles in the permutation.
Given a cycle $C$ in a permutation, we can compute the maximum distance between elements in the cycle, that is $\max \{ a_i-a_j | a_i, a_j \in C \}$.
The statistic is then the maximum of this value over all cycles in the permutation.
Map
left border symmetry
Description
Return the tree where a symmetry has been applied recursively on all left borders. If a tree is made of three trees $T_1, T_2, T_3$ on its left border, it becomes $T_3, T_2, T_1$ where same symmetry has been applied to $T_1, T_2, T_3$.
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.
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.
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
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