Identifier
-
Mp00069:
Permutations
—complement⟶
Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
St000446: Permutations ⟶ ℤ
Values
[1] => [1] => [.,.] => [1] => 0
[1,2] => [2,1] => [[.,.],.] => [1,2] => 0
[2,1] => [1,2] => [.,[.,.]] => [2,1] => 1
[1,2,3] => [3,2,1] => [[[.,.],.],.] => [1,2,3] => 0
[1,3,2] => [3,1,2] => [[.,.],[.,.]] => [1,3,2] => 1
[2,1,3] => [2,3,1] => [[.,[.,.]],.] => [2,1,3] => 2
[2,3,1] => [2,1,3] => [[.,.],[.,.]] => [1,3,2] => 1
[3,1,2] => [1,3,2] => [.,[[.,.],.]] => [2,3,1] => 2
[3,2,1] => [1,2,3] => [.,[.,[.,.]]] => [3,2,1] => 3
[1,2,3,4] => [4,3,2,1] => [[[[.,.],.],.],.] => [1,2,3,4] => 0
[1,2,4,3] => [4,3,1,2] => [[[.,.],.],[.,.]] => [1,2,4,3] => 1
[1,3,2,4] => [4,2,3,1] => [[[.,.],[.,.]],.] => [1,3,2,4] => 2
[1,3,4,2] => [4,2,1,3] => [[[.,.],.],[.,.]] => [1,2,4,3] => 1
[1,4,2,3] => [4,1,3,2] => [[.,.],[[.,.],.]] => [1,3,4,2] => 2
[1,4,3,2] => [4,1,2,3] => [[.,.],[.,[.,.]]] => [1,4,3,2] => 3
[2,1,3,4] => [3,4,2,1] => [[[.,[.,.]],.],.] => [2,1,3,4] => 3
[2,1,4,3] => [3,4,1,2] => [[.,[.,.]],[.,.]] => [2,1,4,3] => 4
[2,3,1,4] => [3,2,4,1] => [[[.,.],[.,.]],.] => [1,3,2,4] => 2
[2,3,4,1] => [3,2,1,4] => [[[.,.],.],[.,.]] => [1,2,4,3] => 1
[2,4,1,3] => [3,1,4,2] => [[.,.],[[.,.],.]] => [1,3,4,2] => 2
[2,4,3,1] => [3,1,2,4] => [[.,.],[.,[.,.]]] => [1,4,3,2] => 3
[3,1,2,4] => [2,4,3,1] => [[.,[[.,.],.]],.] => [2,3,1,4] => 3
[3,1,4,2] => [2,4,1,3] => [[.,[.,.]],[.,.]] => [2,1,4,3] => 4
[3,2,1,4] => [2,3,4,1] => [[.,[.,[.,.]]],.] => [3,2,1,4] => 5
[3,2,4,1] => [2,3,1,4] => [[.,[.,.]],[.,.]] => [2,1,4,3] => 4
[3,4,1,2] => [2,1,4,3] => [[.,.],[[.,.],.]] => [1,3,4,2] => 2
[3,4,2,1] => [2,1,3,4] => [[.,.],[.,[.,.]]] => [1,4,3,2] => 3
[4,1,2,3] => [1,4,3,2] => [.,[[[.,.],.],.]] => [2,3,4,1] => 3
[4,1,3,2] => [1,4,2,3] => [.,[[.,.],[.,.]]] => [2,4,3,1] => 4
[4,2,1,3] => [1,3,4,2] => [.,[[.,[.,.]],.]] => [3,2,4,1] => 5
[4,2,3,1] => [1,3,2,4] => [.,[[.,.],[.,.]]] => [2,4,3,1] => 4
[4,3,1,2] => [1,2,4,3] => [.,[.,[[.,.],.]]] => [3,4,2,1] => 5
[4,3,2,1] => [1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => 6
[1,2,3,4,5] => [5,4,3,2,1] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => 0
[1,2,3,5,4] => [5,4,3,1,2] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => 1
[1,2,4,3,5] => [5,4,2,3,1] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => 2
[1,2,4,5,3] => [5,4,2,1,3] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => 1
[1,2,5,3,4] => [5,4,1,3,2] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => 2
[1,2,5,4,3] => [5,4,1,2,3] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => 3
[1,3,2,4,5] => [5,3,4,2,1] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => 3
[1,3,2,5,4] => [5,3,4,1,2] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 4
[1,3,4,2,5] => [5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => 2
[1,3,4,5,2] => [5,3,2,1,4] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => 1
[1,3,5,2,4] => [5,3,1,4,2] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => 2
[1,3,5,4,2] => [5,3,1,2,4] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => 3
[1,4,2,3,5] => [5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => 3
[1,4,2,5,3] => [5,2,4,1,3] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 4
[1,4,3,2,5] => [5,2,3,4,1] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => 5
[1,4,3,5,2] => [5,2,3,1,4] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 4
[1,4,5,2,3] => [5,2,1,4,3] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => 2
[1,4,5,3,2] => [5,2,1,3,4] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => 3
[1,5,2,3,4] => [5,1,4,3,2] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => 3
[1,5,2,4,3] => [5,1,4,2,3] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 4
[1,5,3,2,4] => [5,1,3,4,2] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => 5
[1,5,3,4,2] => [5,1,3,2,4] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 4
[1,5,4,2,3] => [5,1,2,4,3] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => 5
[1,5,4,3,2] => [5,1,2,3,4] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => 6
[2,1,3,4,5] => [4,5,3,2,1] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => 4
[2,1,3,5,4] => [4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => 5
[2,1,4,3,5] => [4,5,2,3,1] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => 6
[2,1,4,5,3] => [4,5,2,1,3] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => 5
[2,1,5,3,4] => [4,5,1,3,2] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => 6
[2,1,5,4,3] => [4,5,1,2,3] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => 7
[2,3,1,4,5] => [4,3,5,2,1] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => 3
[2,3,1,5,4] => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 4
[2,3,4,1,5] => [4,3,2,5,1] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => 2
[2,3,4,5,1] => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => 1
[2,3,5,1,4] => [4,3,1,5,2] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => 2
[2,3,5,4,1] => [4,3,1,2,5] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => 3
[2,4,1,3,5] => [4,2,5,3,1] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => 3
[2,4,1,5,3] => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 4
[2,4,3,1,5] => [4,2,3,5,1] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => 5
[2,4,3,5,1] => [4,2,3,1,5] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 4
[2,4,5,1,3] => [4,2,1,5,3] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => 2
[2,4,5,3,1] => [4,2,1,3,5] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => 3
[2,5,1,3,4] => [4,1,5,3,2] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => 3
[2,5,1,4,3] => [4,1,5,2,3] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 4
[2,5,3,1,4] => [4,1,3,5,2] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => 5
[2,5,3,4,1] => [4,1,3,2,5] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 4
[2,5,4,1,3] => [4,1,2,5,3] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => 5
[2,5,4,3,1] => [4,1,2,3,5] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => 6
[3,1,2,4,5] => [3,5,4,2,1] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => 4
[3,1,2,5,4] => [3,5,4,1,2] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => 5
[3,1,4,2,5] => [3,5,2,4,1] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => 6
[3,1,4,5,2] => [3,5,2,1,4] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => 5
[3,1,5,2,4] => [3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => 6
[3,1,5,4,2] => [3,5,1,2,4] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => 7
[3,2,1,4,5] => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => 7
[3,2,1,5,4] => [3,4,5,1,2] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => 8
[3,2,4,1,5] => [3,4,2,5,1] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => 6
[3,2,4,5,1] => [3,4,2,1,5] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => 5
[3,2,5,1,4] => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => 6
[3,2,5,4,1] => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => 7
[3,4,1,2,5] => [3,2,5,4,1] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => 3
[3,4,1,5,2] => [3,2,5,1,4] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 4
[3,4,2,1,5] => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => 5
[3,4,2,5,1] => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => 4
[3,4,5,1,2] => [3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => 2
[3,4,5,2,1] => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => 3
[3,5,1,2,4] => [3,1,5,4,2] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => 3
[3,5,1,4,2] => [3,1,5,2,4] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 4
>>> Load all 3177 entries. <<<[3,5,2,1,4] => [3,1,4,5,2] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => 5
[3,5,2,4,1] => [3,1,4,2,5] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 4
[3,5,4,1,2] => [3,1,2,5,4] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => 5
[3,5,4,2,1] => [3,1,2,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => 6
[4,1,2,3,5] => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => 4
[4,1,2,5,3] => [2,5,4,1,3] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => 5
[4,1,3,2,5] => [2,5,3,4,1] => [[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => 6
[4,1,3,5,2] => [2,5,3,1,4] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => 5
[4,1,5,2,3] => [2,5,1,4,3] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => 6
[4,1,5,3,2] => [2,5,1,3,4] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => 7
[4,2,1,3,5] => [2,4,5,3,1] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => 7
[4,2,1,5,3] => [2,4,5,1,3] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => 8
[4,2,3,1,5] => [2,4,3,5,1] => [[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => 6
[4,2,3,5,1] => [2,4,3,1,5] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => 5
[4,2,5,1,3] => [2,4,1,5,3] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => 6
[4,2,5,3,1] => [2,4,1,3,5] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => 7
[4,3,1,2,5] => [2,3,5,4,1] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => 7
[4,3,1,5,2] => [2,3,5,1,4] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => 8
[4,3,2,1,5] => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => 9
[4,3,2,5,1] => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => 8
[4,3,5,1,2] => [2,3,1,5,4] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => 6
[4,3,5,2,1] => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => 7
[4,5,1,2,3] => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => 3
[4,5,1,3,2] => [2,1,5,3,4] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 4
[4,5,2,1,3] => [2,1,4,5,3] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => 5
[4,5,2,3,1] => [2,1,4,3,5] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => 4
[4,5,3,1,2] => [2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => 5
[4,5,3,2,1] => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => 6
[5,1,2,3,4] => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => 4
[5,1,2,4,3] => [1,5,4,2,3] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => 5
[5,1,3,2,4] => [1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => 6
[5,1,3,4,2] => [1,5,3,2,4] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => 5
[5,1,4,2,3] => [1,5,2,4,3] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => 6
[5,1,4,3,2] => [1,5,2,3,4] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => 7
[5,2,1,3,4] => [1,4,5,3,2] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => 7
[5,2,1,4,3] => [1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => 8
[5,2,3,1,4] => [1,4,3,5,2] => [.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => 6
[5,2,3,4,1] => [1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => 5
[5,2,4,1,3] => [1,4,2,5,3] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => 6
[5,2,4,3,1] => [1,4,2,3,5] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => 7
[5,3,1,2,4] => [1,3,5,4,2] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => 7
[5,3,1,4,2] => [1,3,5,2,4] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => 8
[5,3,2,1,4] => [1,3,4,5,2] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => 9
[5,3,2,4,1] => [1,3,4,2,5] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => 8
[5,3,4,1,2] => [1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => 6
[5,3,4,2,1] => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => 7
[5,4,1,2,3] => [1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => 7
[5,4,1,3,2] => [1,2,5,3,4] => [.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => 8
[5,4,2,1,3] => [1,2,4,5,3] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => 9
[5,4,2,3,1] => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => 8
[5,4,3,1,2] => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => 9
[5,4,3,2,1] => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => 10
[1,2,3,4,5,6] => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => 0
[1,2,3,4,6,5] => [6,5,4,3,1,2] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => 1
[1,2,3,5,4,6] => [6,5,4,2,3,1] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => 2
[1,2,3,5,6,4] => [6,5,4,2,1,3] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => 1
[1,2,3,6,4,5] => [6,5,4,1,3,2] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 2
[1,2,3,6,5,4] => [6,5,4,1,2,3] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 3
[1,2,4,3,5,6] => [6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => 3
[1,2,4,3,6,5] => [6,5,3,4,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[1,2,4,5,3,6] => [6,5,3,2,4,1] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => 2
[1,2,4,5,6,3] => [6,5,3,2,1,4] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => 1
[1,2,4,6,3,5] => [6,5,3,1,4,2] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 2
[1,2,4,6,5,3] => [6,5,3,1,2,4] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 3
[1,2,5,3,4,6] => [6,5,2,4,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => 3
[1,2,5,3,6,4] => [6,5,2,4,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[1,2,5,4,3,6] => [6,5,2,3,4,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => 5
[1,2,5,4,6,3] => [6,5,2,3,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[1,2,5,6,3,4] => [6,5,2,1,4,3] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 2
[1,2,5,6,4,3] => [6,5,2,1,3,4] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 3
[1,2,6,3,4,5] => [6,5,1,4,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 3
[1,2,6,3,5,4] => [6,5,1,4,2,3] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[1,2,6,4,3,5] => [6,5,1,3,4,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 5
[1,2,6,4,5,3] => [6,5,1,3,2,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[1,2,6,5,3,4] => [6,5,1,2,4,3] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 5
[1,2,6,5,4,3] => [6,5,1,2,3,4] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 6
[1,3,2,4,5,6] => [6,4,5,3,2,1] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => 4
[1,3,2,4,6,5] => [6,4,5,3,1,2] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 5
[1,3,2,5,4,6] => [6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 6
[1,3,2,5,6,4] => [6,4,5,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 5
[1,3,2,6,4,5] => [6,4,5,1,3,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[1,3,2,6,5,4] => [6,4,5,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[1,3,4,2,5,6] => [6,4,3,5,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => 3
[1,3,4,2,6,5] => [6,4,3,5,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[1,3,4,5,2,6] => [6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => 2
[1,3,4,5,6,2] => [6,4,3,2,1,5] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => 1
[1,3,4,6,2,5] => [6,4,3,1,5,2] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 2
[1,3,4,6,5,2] => [6,4,3,1,2,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 3
[1,3,5,2,4,6] => [6,4,2,5,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => 3
[1,3,5,2,6,4] => [6,4,2,5,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[1,3,5,4,2,6] => [6,4,2,3,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => 5
[1,3,5,4,6,2] => [6,4,2,3,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[1,3,5,6,2,4] => [6,4,2,1,5,3] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 2
[1,3,5,6,4,2] => [6,4,2,1,3,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 3
[1,3,6,2,4,5] => [6,4,1,5,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 3
[1,3,6,2,5,4] => [6,4,1,5,2,3] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[1,3,6,4,2,5] => [6,4,1,3,5,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 5
[1,3,6,4,5,2] => [6,4,1,3,2,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[1,3,6,5,2,4] => [6,4,1,2,5,3] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 5
[1,3,6,5,4,2] => [6,4,1,2,3,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 6
[1,4,2,3,5,6] => [6,3,5,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => 4
[1,4,2,3,6,5] => [6,3,5,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[1,4,2,5,3,6] => [6,3,5,2,4,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 6
[1,4,2,5,6,3] => [6,3,5,2,1,4] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 5
[1,4,2,6,3,5] => [6,3,5,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[1,4,2,6,5,3] => [6,3,5,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[1,4,3,2,5,6] => [6,3,4,5,2,1] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => 7
[1,4,3,2,6,5] => [6,3,4,5,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[1,4,3,5,2,6] => [6,3,4,2,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 6
[1,4,3,5,6,2] => [6,3,4,2,1,5] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 5
[1,4,3,6,2,5] => [6,3,4,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[1,4,3,6,5,2] => [6,3,4,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[1,4,5,2,3,6] => [6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => 3
[1,4,5,2,6,3] => [6,3,2,5,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[1,4,5,3,2,6] => [6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => 5
[1,4,5,3,6,2] => [6,3,2,4,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[1,4,5,6,2,3] => [6,3,2,1,5,4] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 2
[1,4,5,6,3,2] => [6,3,2,1,4,5] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 3
[1,4,6,2,3,5] => [6,3,1,5,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 3
[1,4,6,2,5,3] => [6,3,1,5,2,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[1,4,6,3,2,5] => [6,3,1,4,5,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 5
[1,4,6,3,5,2] => [6,3,1,4,2,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[1,4,6,5,2,3] => [6,3,1,2,5,4] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 5
[1,4,6,5,3,2] => [6,3,1,2,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 6
[1,5,2,3,4,6] => [6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => 4
[1,5,2,3,6,4] => [6,2,5,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[1,5,2,4,3,6] => [6,2,5,3,4,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 6
[1,5,2,4,6,3] => [6,2,5,3,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[1,5,2,6,3,4] => [6,2,5,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[1,5,2,6,4,3] => [6,2,5,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[1,5,3,2,4,6] => [6,2,4,5,3,1] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => 7
[1,5,3,2,6,4] => [6,2,4,5,1,3] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[1,5,3,4,2,6] => [6,2,4,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 6
[1,5,3,4,6,2] => [6,2,4,3,1,5] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[1,5,3,6,2,4] => [6,2,4,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[1,5,3,6,4,2] => [6,2,4,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[1,5,4,2,3,6] => [6,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => 7
[1,5,4,2,6,3] => [6,2,3,5,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[1,5,4,3,2,6] => [6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => 9
[1,5,4,3,6,2] => [6,2,3,4,1,5] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[1,5,4,6,2,3] => [6,2,3,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[1,5,4,6,3,2] => [6,2,3,1,4,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[1,5,6,2,3,4] => [6,2,1,5,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 3
[1,5,6,2,4,3] => [6,2,1,5,3,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[1,5,6,3,2,4] => [6,2,1,4,5,3] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 5
[1,5,6,3,4,2] => [6,2,1,4,3,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[1,5,6,4,2,3] => [6,2,1,3,5,4] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 5
[1,5,6,4,3,2] => [6,2,1,3,4,5] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 6
[1,6,2,3,4,5] => [6,1,5,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => 4
[1,6,2,3,5,4] => [6,1,5,4,2,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[1,6,2,4,3,5] => [6,1,5,3,4,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 6
[1,6,2,4,5,3] => [6,1,5,3,2,4] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[1,6,2,5,3,4] => [6,1,5,2,4,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[1,6,2,5,4,3] => [6,1,5,2,3,4] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[1,6,3,2,4,5] => [6,1,4,5,3,2] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => 7
[1,6,3,2,5,4] => [6,1,4,5,2,3] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[1,6,3,4,2,5] => [6,1,4,3,5,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 6
[1,6,3,4,5,2] => [6,1,4,3,2,5] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[1,6,3,5,2,4] => [6,1,4,2,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[1,6,3,5,4,2] => [6,1,4,2,3,5] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[1,6,4,2,3,5] => [6,1,3,5,4,2] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => 7
[1,6,4,2,5,3] => [6,1,3,5,2,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[1,6,4,3,2,5] => [6,1,3,4,5,2] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => 9
[1,6,4,3,5,2] => [6,1,3,4,2,5] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[1,6,4,5,2,3] => [6,1,3,2,5,4] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[1,6,4,5,3,2] => [6,1,3,2,4,5] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[1,6,5,2,3,4] => [6,1,2,5,4,3] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => 7
[1,6,5,2,4,3] => [6,1,2,5,3,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 8
[1,6,5,3,2,4] => [6,1,2,4,5,3] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => 9
[1,6,5,3,4,2] => [6,1,2,4,3,5] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 8
[1,6,5,4,2,3] => [6,1,2,3,5,4] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => 9
[1,6,5,4,3,2] => [6,1,2,3,4,5] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => 10
[2,1,3,4,5,6] => [5,6,4,3,2,1] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => 5
[2,1,3,4,6,5] => [5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => 6
[2,1,3,5,4,6] => [5,6,4,2,3,1] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => 7
[2,1,3,5,6,4] => [5,6,4,2,1,3] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => 6
[2,1,3,6,4,5] => [5,6,4,1,3,2] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 7
[2,1,3,6,5,4] => [5,6,4,1,2,3] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 8
[2,1,4,3,5,6] => [5,6,3,4,2,1] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => 8
[2,1,4,3,6,5] => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[2,1,4,5,3,6] => [5,6,3,2,4,1] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => 7
[2,1,4,5,6,3] => [5,6,3,2,1,4] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => 6
[2,1,4,6,3,5] => [5,6,3,1,4,2] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 7
[2,1,4,6,5,3] => [5,6,3,1,2,4] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 8
[2,1,5,3,4,6] => [5,6,2,4,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => 8
[2,1,5,3,6,4] => [5,6,2,4,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[2,1,5,4,3,6] => [5,6,2,3,4,1] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => 10
[2,1,5,4,6,3] => [5,6,2,3,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[2,1,5,6,3,4] => [5,6,2,1,4,3] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 7
[2,1,5,6,4,3] => [5,6,2,1,3,4] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 8
[2,1,6,3,4,5] => [5,6,1,4,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 8
[2,1,6,3,5,4] => [5,6,1,4,2,3] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[2,1,6,4,3,5] => [5,6,1,3,4,2] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 10
[2,1,6,4,5,3] => [5,6,1,3,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[2,1,6,5,3,4] => [5,6,1,2,4,3] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 10
[2,1,6,5,4,3] => [5,6,1,2,3,4] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 11
[2,3,1,4,5,6] => [5,4,6,3,2,1] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => 4
[2,3,1,4,6,5] => [5,4,6,3,1,2] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 5
[2,3,1,5,4,6] => [5,4,6,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 6
[2,3,1,5,6,4] => [5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 5
[2,3,1,6,4,5] => [5,4,6,1,3,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[2,3,1,6,5,4] => [5,4,6,1,2,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[2,3,4,1,5,6] => [5,4,3,6,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => 3
[2,3,4,1,6,5] => [5,4,3,6,1,2] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[2,3,4,5,1,6] => [5,4,3,2,6,1] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => 2
[2,3,4,5,6,1] => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => 1
[2,3,4,6,1,5] => [5,4,3,1,6,2] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 2
[2,3,4,6,5,1] => [5,4,3,1,2,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 3
[2,3,5,1,4,6] => [5,4,2,6,3,1] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => 3
[2,3,5,1,6,4] => [5,4,2,6,1,3] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[2,3,5,4,1,6] => [5,4,2,3,6,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => 5
[2,3,5,4,6,1] => [5,4,2,3,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[2,3,5,6,1,4] => [5,4,2,1,6,3] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 2
[2,3,5,6,4,1] => [5,4,2,1,3,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 3
[2,3,6,1,4,5] => [5,4,1,6,3,2] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 3
[2,3,6,1,5,4] => [5,4,1,6,2,3] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[2,3,6,4,1,5] => [5,4,1,3,6,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 5
[2,3,6,4,5,1] => [5,4,1,3,2,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[2,3,6,5,1,4] => [5,4,1,2,6,3] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 5
[2,3,6,5,4,1] => [5,4,1,2,3,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 6
[2,4,1,3,5,6] => [5,3,6,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => 4
[2,4,1,3,6,5] => [5,3,6,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[2,4,1,5,3,6] => [5,3,6,2,4,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 6
[2,4,1,5,6,3] => [5,3,6,2,1,4] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 5
[2,4,1,6,3,5] => [5,3,6,1,4,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[2,4,1,6,5,3] => [5,3,6,1,2,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[2,4,3,1,5,6] => [5,3,4,6,2,1] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => 7
[2,4,3,1,6,5] => [5,3,4,6,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[2,4,3,5,1,6] => [5,3,4,2,6,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 6
[2,4,3,5,6,1] => [5,3,4,2,1,6] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 5
[2,4,3,6,1,5] => [5,3,4,1,6,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[2,4,3,6,5,1] => [5,3,4,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[2,4,5,1,3,6] => [5,3,2,6,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => 3
[2,4,5,1,6,3] => [5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[2,4,5,3,1,6] => [5,3,2,4,6,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => 5
[2,4,5,3,6,1] => [5,3,2,4,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[2,4,5,6,1,3] => [5,3,2,1,6,4] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 2
[2,4,5,6,3,1] => [5,3,2,1,4,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 3
[2,4,6,1,3,5] => [5,3,1,6,4,2] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 3
[2,4,6,1,5,3] => [5,3,1,6,2,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[2,4,6,3,1,5] => [5,3,1,4,6,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 5
[2,4,6,3,5,1] => [5,3,1,4,2,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[2,4,6,5,1,3] => [5,3,1,2,6,4] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 5
[2,4,6,5,3,1] => [5,3,1,2,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 6
[2,5,1,3,4,6] => [5,2,6,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => 4
[2,5,1,3,6,4] => [5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[2,5,1,4,3,6] => [5,2,6,3,4,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 6
[2,5,1,4,6,3] => [5,2,6,3,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[2,5,1,6,3,4] => [5,2,6,1,4,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[2,5,1,6,4,3] => [5,2,6,1,3,4] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[2,5,3,1,4,6] => [5,2,4,6,3,1] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => 7
[2,5,3,1,6,4] => [5,2,4,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[2,5,3,4,1,6] => [5,2,4,3,6,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 6
[2,5,3,4,6,1] => [5,2,4,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[2,5,3,6,1,4] => [5,2,4,1,6,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[2,5,3,6,4,1] => [5,2,4,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[2,5,4,1,3,6] => [5,2,3,6,4,1] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => 7
[2,5,4,1,6,3] => [5,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[2,5,4,3,1,6] => [5,2,3,4,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => 9
[2,5,4,3,6,1] => [5,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[2,5,4,6,1,3] => [5,2,3,1,6,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[2,5,4,6,3,1] => [5,2,3,1,4,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[2,5,6,1,3,4] => [5,2,1,6,4,3] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 3
[2,5,6,1,4,3] => [5,2,1,6,3,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[2,5,6,3,1,4] => [5,2,1,4,6,3] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 5
[2,5,6,3,4,1] => [5,2,1,4,3,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[2,5,6,4,1,3] => [5,2,1,3,6,4] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 5
[2,5,6,4,3,1] => [5,2,1,3,4,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 6
[2,6,1,3,4,5] => [5,1,6,4,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => 4
[2,6,1,3,5,4] => [5,1,6,4,2,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[2,6,1,4,3,5] => [5,1,6,3,4,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 6
[2,6,1,4,5,3] => [5,1,6,3,2,4] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[2,6,1,5,3,4] => [5,1,6,2,4,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[2,6,1,5,4,3] => [5,1,6,2,3,4] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[2,6,3,1,4,5] => [5,1,4,6,3,2] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => 7
[2,6,3,1,5,4] => [5,1,4,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[2,6,3,4,1,5] => [5,1,4,3,6,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 6
[2,6,3,4,5,1] => [5,1,4,3,2,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[2,6,3,5,1,4] => [5,1,4,2,6,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[2,6,3,5,4,1] => [5,1,4,2,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[2,6,4,1,3,5] => [5,1,3,6,4,2] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => 7
[2,6,4,1,5,3] => [5,1,3,6,2,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[2,6,4,3,1,5] => [5,1,3,4,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => 9
[2,6,4,3,5,1] => [5,1,3,4,2,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[2,6,4,5,1,3] => [5,1,3,2,6,4] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[2,6,4,5,3,1] => [5,1,3,2,4,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[2,6,5,1,3,4] => [5,1,2,6,4,3] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => 7
[2,6,5,1,4,3] => [5,1,2,6,3,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 8
[2,6,5,3,1,4] => [5,1,2,4,6,3] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => 9
[2,6,5,3,4,1] => [5,1,2,4,3,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 8
[2,6,5,4,1,3] => [5,1,2,3,6,4] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => 9
[2,6,5,4,3,1] => [5,1,2,3,4,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => 10
[3,1,2,4,5,6] => [4,6,5,3,2,1] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => 5
[3,1,2,4,6,5] => [4,6,5,3,1,2] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => 6
[3,1,2,5,4,6] => [4,6,5,2,3,1] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => 7
[3,1,2,5,6,4] => [4,6,5,2,1,3] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => 6
[3,1,2,6,4,5] => [4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 7
[3,1,2,6,5,4] => [4,6,5,1,2,3] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 8
[3,1,4,2,5,6] => [4,6,3,5,2,1] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => 8
[3,1,4,2,6,5] => [4,6,3,5,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[3,1,4,5,2,6] => [4,6,3,2,5,1] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => 7
[3,1,4,5,6,2] => [4,6,3,2,1,5] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => 6
[3,1,4,6,2,5] => [4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 7
[3,1,4,6,5,2] => [4,6,3,1,2,5] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 8
[3,1,5,2,4,6] => [4,6,2,5,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => 8
[3,1,5,2,6,4] => [4,6,2,5,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[3,1,5,4,2,6] => [4,6,2,3,5,1] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => 10
[3,1,5,4,6,2] => [4,6,2,3,1,5] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[3,1,5,6,2,4] => [4,6,2,1,5,3] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 7
[3,1,5,6,4,2] => [4,6,2,1,3,5] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 8
[3,1,6,2,4,5] => [4,6,1,5,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 8
[3,1,6,2,5,4] => [4,6,1,5,2,3] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[3,1,6,4,2,5] => [4,6,1,3,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 10
[3,1,6,4,5,2] => [4,6,1,3,2,5] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[3,1,6,5,2,4] => [4,6,1,2,5,3] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 10
[3,1,6,5,4,2] => [4,6,1,2,3,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 11
[3,2,1,4,5,6] => [4,5,6,3,2,1] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => 9
[3,2,1,4,6,5] => [4,5,6,3,1,2] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => 10
[3,2,1,5,4,6] => [4,5,6,2,3,1] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => 11
[3,2,1,5,6,4] => [4,5,6,2,1,3] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => 10
[3,2,1,6,4,5] => [4,5,6,1,3,2] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 11
[3,2,1,6,5,4] => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 12
[3,2,4,1,5,6] => [4,5,3,6,2,1] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => 8
[3,2,4,1,6,5] => [4,5,3,6,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[3,2,4,5,1,6] => [4,5,3,2,6,1] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => 7
[3,2,4,5,6,1] => [4,5,3,2,1,6] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => 6
[3,2,4,6,1,5] => [4,5,3,1,6,2] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 7
[3,2,4,6,5,1] => [4,5,3,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 8
[3,2,5,1,4,6] => [4,5,2,6,3,1] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => 8
[3,2,5,1,6,4] => [4,5,2,6,1,3] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[3,2,5,4,1,6] => [4,5,2,3,6,1] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => 10
[3,2,5,4,6,1] => [4,5,2,3,1,6] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[3,2,5,6,1,4] => [4,5,2,1,6,3] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 7
[3,2,5,6,4,1] => [4,5,2,1,3,6] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 8
[3,2,6,1,4,5] => [4,5,1,6,3,2] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 8
[3,2,6,1,5,4] => [4,5,1,6,2,3] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[3,2,6,4,1,5] => [4,5,1,3,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 10
[3,2,6,4,5,1] => [4,5,1,3,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[3,2,6,5,1,4] => [4,5,1,2,6,3] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 10
[3,2,6,5,4,1] => [4,5,1,2,3,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 11
[3,4,1,2,5,6] => [4,3,6,5,2,1] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => 4
[3,4,1,2,6,5] => [4,3,6,5,1,2] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[3,4,1,5,2,6] => [4,3,6,2,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 6
[3,4,1,5,6,2] => [4,3,6,2,1,5] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 5
[3,4,1,6,2,5] => [4,3,6,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[3,4,1,6,5,2] => [4,3,6,1,2,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[3,4,2,1,5,6] => [4,3,5,6,2,1] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => 7
[3,4,2,1,6,5] => [4,3,5,6,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[3,4,2,5,1,6] => [4,3,5,2,6,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => 6
[3,4,2,5,6,1] => [4,3,5,2,1,6] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => 5
[3,4,2,6,1,5] => [4,3,5,1,6,2] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[3,4,2,6,5,1] => [4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[3,4,5,1,2,6] => [4,3,2,6,5,1] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => 3
[3,4,5,1,6,2] => [4,3,2,6,1,5] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[3,4,5,2,1,6] => [4,3,2,5,6,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => 5
[3,4,5,2,6,1] => [4,3,2,5,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => 4
[3,4,5,6,1,2] => [4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => 2
[3,4,5,6,2,1] => [4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => 3
[3,4,6,1,2,5] => [4,3,1,6,5,2] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 3
[3,4,6,1,5,2] => [4,3,1,6,2,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[3,4,6,2,1,5] => [4,3,1,5,6,2] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 5
[3,4,6,2,5,1] => [4,3,1,5,2,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[3,4,6,5,1,2] => [4,3,1,2,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 5
[3,4,6,5,2,1] => [4,3,1,2,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 6
[3,5,1,2,4,6] => [4,2,6,5,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => 4
[3,5,1,2,6,4] => [4,2,6,5,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[3,5,1,4,2,6] => [4,2,6,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 6
[3,5,1,4,6,2] => [4,2,6,3,1,5] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[3,5,1,6,2,4] => [4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[3,5,1,6,4,2] => [4,2,6,1,3,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[3,5,2,1,4,6] => [4,2,5,6,3,1] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => 7
[3,5,2,1,6,4] => [4,2,5,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[3,5,2,4,1,6] => [4,2,5,3,6,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 6
[3,5,2,4,6,1] => [4,2,5,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[3,5,2,6,1,4] => [4,2,5,1,6,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[3,5,2,6,4,1] => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[3,5,4,1,2,6] => [4,2,3,6,5,1] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => 7
[3,5,4,1,6,2] => [4,2,3,6,1,5] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[3,5,4,2,1,6] => [4,2,3,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => 9
[3,5,4,2,6,1] => [4,2,3,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[3,5,4,6,1,2] => [4,2,3,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[3,5,4,6,2,1] => [4,2,3,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[3,5,6,1,2,4] => [4,2,1,6,5,3] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 3
[3,5,6,1,4,2] => [4,2,1,6,3,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[3,5,6,2,1,4] => [4,2,1,5,6,3] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 5
[3,5,6,2,4,1] => [4,2,1,5,3,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[3,5,6,4,1,2] => [4,2,1,3,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 5
[3,5,6,4,2,1] => [4,2,1,3,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 6
[3,6,1,2,4,5] => [4,1,6,5,3,2] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => 4
[3,6,1,2,5,4] => [4,1,6,5,2,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[3,6,1,4,2,5] => [4,1,6,3,5,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 6
[3,6,1,4,5,2] => [4,1,6,3,2,5] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[3,6,1,5,2,4] => [4,1,6,2,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[3,6,1,5,4,2] => [4,1,6,2,3,5] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[3,6,2,1,4,5] => [4,1,5,6,3,2] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => 7
[3,6,2,1,5,4] => [4,1,5,6,2,3] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[3,6,2,4,1,5] => [4,1,5,3,6,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 6
[3,6,2,4,5,1] => [4,1,5,3,2,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[3,6,2,5,1,4] => [4,1,5,2,6,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[3,6,2,5,4,1] => [4,1,5,2,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[3,6,4,1,2,5] => [4,1,3,6,5,2] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => 7
[3,6,4,1,5,2] => [4,1,3,6,2,5] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[3,6,4,2,1,5] => [4,1,3,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => 9
[3,6,4,2,5,1] => [4,1,3,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[3,6,4,5,1,2] => [4,1,3,2,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[3,6,4,5,2,1] => [4,1,3,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[3,6,5,1,2,4] => [4,1,2,6,5,3] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => 7
[3,6,5,1,4,2] => [4,1,2,6,3,5] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 8
[3,6,5,2,1,4] => [4,1,2,5,6,3] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => 9
[3,6,5,2,4,1] => [4,1,2,5,3,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 8
[3,6,5,4,1,2] => [4,1,2,3,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => 9
[3,6,5,4,2,1] => [4,1,2,3,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => 10
[4,1,2,3,5,6] => [3,6,5,4,2,1] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => 5
[4,1,2,3,6,5] => [3,6,5,4,1,2] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => 6
[4,1,2,5,3,6] => [3,6,5,2,4,1] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => 7
[4,1,2,5,6,3] => [3,6,5,2,1,4] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => 6
[4,1,2,6,3,5] => [3,6,5,1,4,2] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 7
[4,1,2,6,5,3] => [3,6,5,1,2,4] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 8
[4,1,3,2,5,6] => [3,6,4,5,2,1] => [[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => 8
[4,1,3,2,6,5] => [3,6,4,5,1,2] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 9
[4,1,3,5,2,6] => [3,6,4,2,5,1] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => 7
[4,1,3,5,6,2] => [3,6,4,2,1,5] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => 6
[4,1,3,6,2,5] => [3,6,4,1,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 7
[4,1,3,6,5,2] => [3,6,4,1,2,5] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 8
[4,1,5,2,3,6] => [3,6,2,5,4,1] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => 8
[4,1,5,2,6,3] => [3,6,2,5,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[4,1,5,3,2,6] => [3,6,2,4,5,1] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => 10
[4,1,5,3,6,2] => [3,6,2,4,1,5] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[4,1,5,6,2,3] => [3,6,2,1,5,4] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 7
[4,1,5,6,3,2] => [3,6,2,1,4,5] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 8
[4,1,6,2,3,5] => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 8
[4,1,6,2,5,3] => [3,6,1,5,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[4,1,6,3,2,5] => [3,6,1,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 10
[4,1,6,3,5,2] => [3,6,1,4,2,5] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[4,1,6,5,2,3] => [3,6,1,2,5,4] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 10
[4,1,6,5,3,2] => [3,6,1,2,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 11
[4,2,1,3,5,6] => [3,5,6,4,2,1] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => 9
[4,2,1,3,6,5] => [3,5,6,4,1,2] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => 10
[4,2,1,5,3,6] => [3,5,6,2,4,1] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => 11
[4,2,1,5,6,3] => [3,5,6,2,1,4] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => 10
[4,2,1,6,3,5] => [3,5,6,1,4,2] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 11
[4,2,1,6,5,3] => [3,5,6,1,2,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 12
[4,2,3,1,5,6] => [3,5,4,6,2,1] => [[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => 8
[4,2,3,1,6,5] => [3,5,4,6,1,2] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 9
[4,2,3,5,1,6] => [3,5,4,2,6,1] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => 7
[4,2,3,5,6,1] => [3,5,4,2,1,6] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => 6
[4,2,3,6,1,5] => [3,5,4,1,6,2] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 7
[4,2,3,6,5,1] => [3,5,4,1,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 8
[4,2,5,1,3,6] => [3,5,2,6,4,1] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => 8
[4,2,5,1,6,3] => [3,5,2,6,1,4] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[4,2,5,3,1,6] => [3,5,2,4,6,1] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => 10
[4,2,5,3,6,1] => [3,5,2,4,1,6] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[4,2,5,6,1,3] => [3,5,2,1,6,4] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 7
[4,2,5,6,3,1] => [3,5,2,1,4,6] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 8
[4,2,6,1,3,5] => [3,5,1,6,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 8
[4,2,6,1,5,3] => [3,5,1,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[4,2,6,3,1,5] => [3,5,1,4,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 10
[4,2,6,3,5,1] => [3,5,1,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[4,2,6,5,1,3] => [3,5,1,2,6,4] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 10
[4,2,6,5,3,1] => [3,5,1,2,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 11
[4,3,1,2,5,6] => [3,4,6,5,2,1] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => 9
[4,3,1,2,6,5] => [3,4,6,5,1,2] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => 10
[4,3,1,5,2,6] => [3,4,6,2,5,1] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => 11
[4,3,1,5,6,2] => [3,4,6,2,1,5] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => 10
[4,3,1,6,2,5] => [3,4,6,1,5,2] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 11
[4,3,1,6,5,2] => [3,4,6,1,2,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 12
[4,3,2,1,5,6] => [3,4,5,6,2,1] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => 12
[4,3,2,1,6,5] => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => 13
[4,3,2,5,1,6] => [3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => 11
[4,3,2,5,6,1] => [3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => 10
[4,3,2,6,1,5] => [3,4,5,1,6,2] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 11
[4,3,2,6,5,1] => [3,4,5,1,2,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 12
[4,3,5,1,2,6] => [3,4,2,6,5,1] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => 8
[4,3,5,1,6,2] => [3,4,2,6,1,5] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[4,3,5,2,1,6] => [3,4,2,5,6,1] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => 10
[4,3,5,2,6,1] => [3,4,2,5,1,6] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => 9
[4,3,5,6,1,2] => [3,4,2,1,6,5] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => 7
[4,3,5,6,2,1] => [3,4,2,1,5,6] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => 8
[4,3,6,1,2,5] => [3,4,1,6,5,2] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 8
[4,3,6,1,5,2] => [3,4,1,6,2,5] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[4,3,6,2,1,5] => [3,4,1,5,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 10
[4,3,6,2,5,1] => [3,4,1,5,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[4,3,6,5,1,2] => [3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 10
[4,3,6,5,2,1] => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 11
[4,5,1,2,3,6] => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => 4
[4,5,1,2,6,3] => [3,2,6,5,1,4] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[4,5,1,3,2,6] => [3,2,6,4,5,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 6
[4,5,1,3,6,2] => [3,2,6,4,1,5] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[4,5,1,6,2,3] => [3,2,6,1,5,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[4,5,1,6,3,2] => [3,2,6,1,4,5] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[4,5,2,1,3,6] => [3,2,5,6,4,1] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => 7
[4,5,2,1,6,3] => [3,2,5,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[4,5,2,3,1,6] => [3,2,5,4,6,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => 6
[4,5,2,3,6,1] => [3,2,5,4,1,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => 5
[4,5,2,6,1,3] => [3,2,5,1,6,4] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[4,5,2,6,3,1] => [3,2,5,1,4,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[4,5,3,1,2,6] => [3,2,4,6,5,1] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => 7
[4,5,3,1,6,2] => [3,2,4,6,1,5] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[4,5,3,2,1,6] => [3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => 9
[4,5,3,2,6,1] => [3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => 8
[4,5,3,6,1,2] => [3,2,4,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => 6
[4,5,3,6,2,1] => [3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => 7
[4,5,6,1,2,3] => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => 3
[4,5,6,1,3,2] => [3,2,1,6,4,5] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[4,5,6,2,1,3] => [3,2,1,5,6,4] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => 5
[4,5,6,2,3,1] => [3,2,1,5,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => 4
[4,5,6,3,1,2] => [3,2,1,4,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => 5
[4,5,6,3,2,1] => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => 6
[4,6,1,2,3,5] => [3,1,6,5,4,2] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => 4
[4,6,1,2,5,3] => [3,1,6,5,2,4] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[4,6,1,3,2,5] => [3,1,6,4,5,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 6
[4,6,1,3,5,2] => [3,1,6,4,2,5] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[4,6,1,5,2,3] => [3,1,6,2,5,4] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[4,6,1,5,3,2] => [3,1,6,2,4,5] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[4,6,2,1,3,5] => [3,1,5,6,4,2] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => 7
[4,6,2,1,5,3] => [3,1,5,6,2,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[4,6,2,3,1,5] => [3,1,5,4,6,2] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 6
[4,6,2,3,5,1] => [3,1,5,4,2,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[4,6,2,5,1,3] => [3,1,5,2,6,4] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[4,6,2,5,3,1] => [3,1,5,2,4,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[4,6,3,1,2,5] => [3,1,4,6,5,2] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => 7
[4,6,3,1,5,2] => [3,1,4,6,2,5] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[4,6,3,2,1,5] => [3,1,4,5,6,2] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => 9
[4,6,3,2,5,1] => [3,1,4,5,2,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[4,6,3,5,1,2] => [3,1,4,2,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[4,6,3,5,2,1] => [3,1,4,2,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[4,6,5,1,2,3] => [3,1,2,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => 7
[4,6,5,1,3,2] => [3,1,2,6,4,5] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 8
[4,6,5,2,1,3] => [3,1,2,5,6,4] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => 9
[4,6,5,2,3,1] => [3,1,2,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 8
[4,6,5,3,1,2] => [3,1,2,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => 9
[4,6,5,3,2,1] => [3,1,2,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => 10
[5,1,2,3,4,6] => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => 5
[5,1,2,3,6,4] => [2,6,5,4,1,3] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => 6
[5,1,2,4,3,6] => [2,6,5,3,4,1] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => 7
[5,1,2,4,6,3] => [2,6,5,3,1,4] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => 6
[5,1,2,6,3,4] => [2,6,5,1,4,3] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 7
[5,1,2,6,4,3] => [2,6,5,1,3,4] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 8
[5,1,3,2,4,6] => [2,6,4,5,3,1] => [[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => 8
[5,1,3,2,6,4] => [2,6,4,5,1,3] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 9
[5,1,3,4,2,6] => [2,6,4,3,5,1] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => 7
[5,1,3,4,6,2] => [2,6,4,3,1,5] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => 6
[5,1,3,6,2,4] => [2,6,4,1,5,3] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 7
[5,1,3,6,4,2] => [2,6,4,1,3,5] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 8
[5,1,4,2,3,6] => [2,6,3,5,4,1] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => 8
[5,1,4,2,6,3] => [2,6,3,5,1,4] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 9
[5,1,4,3,2,6] => [2,6,3,4,5,1] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => 10
[5,1,4,3,6,2] => [2,6,3,4,1,5] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 9
[5,1,4,6,2,3] => [2,6,3,1,5,4] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 7
[5,1,4,6,3,2] => [2,6,3,1,4,5] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 8
[5,1,6,2,3,4] => [2,6,1,5,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 8
[5,1,6,2,4,3] => [2,6,1,5,3,4] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[5,1,6,3,2,4] => [2,6,1,4,5,3] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 10
[5,1,6,3,4,2] => [2,6,1,4,3,5] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[5,1,6,4,2,3] => [2,6,1,3,5,4] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 10
[5,1,6,4,3,2] => [2,6,1,3,4,5] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 11
[5,2,1,3,4,6] => [2,5,6,4,3,1] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => 9
[5,2,1,3,6,4] => [2,5,6,4,1,3] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => 10
[5,2,1,4,3,6] => [2,5,6,3,4,1] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => 11
[5,2,1,4,6,3] => [2,5,6,3,1,4] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => 10
[5,2,1,6,3,4] => [2,5,6,1,4,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 11
[5,2,1,6,4,3] => [2,5,6,1,3,4] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 12
[5,2,3,1,4,6] => [2,5,4,6,3,1] => [[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => 8
[5,2,3,1,6,4] => [2,5,4,6,1,3] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 9
[5,2,3,4,1,6] => [2,5,4,3,6,1] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => 7
[5,2,3,4,6,1] => [2,5,4,3,1,6] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => 6
[5,2,3,6,1,4] => [2,5,4,1,6,3] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 7
[5,2,3,6,4,1] => [2,5,4,1,3,6] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 8
[5,2,4,1,3,6] => [2,5,3,6,4,1] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => 8
[5,2,4,1,6,3] => [2,5,3,6,1,4] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 9
[5,2,4,3,1,6] => [2,5,3,4,6,1] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => 10
[5,2,4,3,6,1] => [2,5,3,4,1,6] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 9
[5,2,4,6,1,3] => [2,5,3,1,6,4] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 7
[5,2,4,6,3,1] => [2,5,3,1,4,6] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 8
[5,2,6,1,3,4] => [2,5,1,6,4,3] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 8
[5,2,6,1,4,3] => [2,5,1,6,3,4] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[5,2,6,3,1,4] => [2,5,1,4,6,3] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 10
[5,2,6,3,4,1] => [2,5,1,4,3,6] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[5,2,6,4,1,3] => [2,5,1,3,6,4] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 10
[5,2,6,4,3,1] => [2,5,1,3,4,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 11
[5,3,1,2,4,6] => [2,4,6,5,3,1] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => 9
[5,3,1,2,6,4] => [2,4,6,5,1,3] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => 10
[5,3,1,4,2,6] => [2,4,6,3,5,1] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => 11
[5,3,1,4,6,2] => [2,4,6,3,1,5] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => 10
[5,3,1,6,2,4] => [2,4,6,1,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 11
[5,3,1,6,4,2] => [2,4,6,1,3,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 12
[5,3,2,1,4,6] => [2,4,5,6,3,1] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => 12
[5,3,2,1,6,4] => [2,4,5,6,1,3] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => 13
[5,3,2,4,1,6] => [2,4,5,3,6,1] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => 11
[5,3,2,4,6,1] => [2,4,5,3,1,6] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => 10
[5,3,2,6,1,4] => [2,4,5,1,6,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 11
[5,3,2,6,4,1] => [2,4,5,1,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 12
[5,3,4,1,2,6] => [2,4,3,6,5,1] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => 8
[5,3,4,1,6,2] => [2,4,3,6,1,5] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 9
[5,3,4,2,1,6] => [2,4,3,5,6,1] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => 10
[5,3,4,2,6,1] => [2,4,3,5,1,6] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => 9
[5,3,4,6,1,2] => [2,4,3,1,6,5] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => 7
[5,3,4,6,2,1] => [2,4,3,1,5,6] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => 8
[5,3,6,1,2,4] => [2,4,1,6,5,3] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 8
[5,3,6,1,4,2] => [2,4,1,6,3,5] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[5,3,6,2,1,4] => [2,4,1,5,6,3] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 10
[5,3,6,2,4,1] => [2,4,1,5,3,6] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[5,3,6,4,1,2] => [2,4,1,3,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 10
[5,3,6,4,2,1] => [2,4,1,3,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 11
[5,4,1,2,3,6] => [2,3,6,5,4,1] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => 9
[5,4,1,2,6,3] => [2,3,6,5,1,4] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => 10
[5,4,1,3,2,6] => [2,3,6,4,5,1] => [[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => 11
[5,4,1,3,6,2] => [2,3,6,4,1,5] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => 10
[5,4,1,6,2,3] => [2,3,6,1,5,4] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 11
[5,4,1,6,3,2] => [2,3,6,1,4,5] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 12
[5,4,2,1,3,6] => [2,3,5,6,4,1] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => 12
[5,4,2,1,6,3] => [2,3,5,6,1,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => 13
[5,4,2,3,1,6] => [2,3,5,4,6,1] => [[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => 11
[5,4,2,3,6,1] => [2,3,5,4,1,6] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => 10
[5,4,2,6,1,3] => [2,3,5,1,6,4] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 11
[5,4,2,6,3,1] => [2,3,5,1,4,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 12
[5,4,3,1,2,6] => [2,3,4,6,5,1] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => 12
[5,4,3,1,6,2] => [2,3,4,6,1,5] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => 13
[5,4,3,2,1,6] => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => 14
[5,4,3,2,6,1] => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => 13
[5,4,3,6,1,2] => [2,3,4,1,6,5] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => 11
[5,4,3,6,2,1] => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => 12
[5,4,6,1,2,3] => [2,3,1,6,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => 8
[5,4,6,1,3,2] => [2,3,1,6,4,5] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[5,4,6,2,1,3] => [2,3,1,5,6,4] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => 10
[5,4,6,2,3,1] => [2,3,1,5,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => 9
[5,4,6,3,1,2] => [2,3,1,4,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => 10
[5,4,6,3,2,1] => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => 11
[5,6,1,2,3,4] => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => 4
[5,6,1,2,4,3] => [2,1,6,5,3,4] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[5,6,1,3,2,4] => [2,1,6,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 6
[5,6,1,3,4,2] => [2,1,6,4,3,5] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[5,6,1,4,2,3] => [2,1,6,3,5,4] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[5,6,1,4,3,2] => [2,1,6,3,4,5] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[5,6,2,1,3,4] => [2,1,5,6,4,3] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => 7
[5,6,2,1,4,3] => [2,1,5,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[5,6,2,3,1,4] => [2,1,5,4,6,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => 6
[5,6,2,3,4,1] => [2,1,5,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => 5
[5,6,2,4,1,3] => [2,1,5,3,6,4] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[5,6,2,4,3,1] => [2,1,5,3,4,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[5,6,3,1,2,4] => [2,1,4,6,5,3] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => 7
[5,6,3,1,4,2] => [2,1,4,6,3,5] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[5,6,3,2,1,4] => [2,1,4,5,6,3] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => 9
[5,6,3,2,4,1] => [2,1,4,5,3,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => 8
[5,6,3,4,1,2] => [2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => 6
[5,6,3,4,2,1] => [2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => 7
[5,6,4,1,2,3] => [2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => 7
[5,6,4,1,3,2] => [2,1,3,6,4,5] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 8
[5,6,4,2,1,3] => [2,1,3,5,6,4] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => 9
[5,6,4,2,3,1] => [2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => 8
[5,6,4,3,1,2] => [2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => 9
[5,6,4,3,2,1] => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => 10
[6,1,2,3,4,5] => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => 5
[6,1,2,3,5,4] => [1,6,5,4,2,3] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => 6
[6,1,2,4,3,5] => [1,6,5,3,4,2] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => 7
[6,1,2,4,5,3] => [1,6,5,3,2,4] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => 6
[6,1,2,5,3,4] => [1,6,5,2,4,3] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => 7
[6,1,2,5,4,3] => [1,6,5,2,3,4] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => 8
[6,1,3,2,4,5] => [1,6,4,5,3,2] => [.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => 8
[6,1,3,2,5,4] => [1,6,4,5,2,3] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 9
[6,1,3,4,2,5] => [1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => 7
[6,1,3,4,5,2] => [1,6,4,3,2,5] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => 6
[6,1,3,5,2,4] => [1,6,4,2,5,3] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => 7
[6,1,3,5,4,2] => [1,6,4,2,3,5] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => 8
[6,1,4,2,3,5] => [1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => 8
[6,1,4,2,5,3] => [1,6,3,5,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 9
[6,1,4,3,2,5] => [1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => 10
[6,1,4,3,5,2] => [1,6,3,4,2,5] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 9
[6,1,4,5,2,3] => [1,6,3,2,5,4] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => 7
[6,1,4,5,3,2] => [1,6,3,2,4,5] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => 8
[6,1,5,2,3,4] => [1,6,2,5,4,3] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => 8
[6,1,5,2,4,3] => [1,6,2,5,3,4] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 9
[6,1,5,3,2,4] => [1,6,2,4,5,3] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => 10
[6,1,5,3,4,2] => [1,6,2,4,3,5] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 9
[6,1,5,4,2,3] => [1,6,2,3,5,4] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => 10
[6,1,5,4,3,2] => [1,6,2,3,4,5] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => 11
[6,2,1,3,4,5] => [1,5,6,4,3,2] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => 9
[6,2,1,3,5,4] => [1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => 10
[6,2,1,4,3,5] => [1,5,6,3,4,2] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => 11
[6,2,1,4,5,3] => [1,5,6,3,2,4] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => 10
[6,2,1,5,3,4] => [1,5,6,2,4,3] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => 11
[6,2,1,5,4,3] => [1,5,6,2,3,4] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => 12
[6,2,3,1,4,5] => [1,5,4,6,3,2] => [.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => 8
[6,2,3,1,5,4] => [1,5,4,6,2,3] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 9
[6,2,3,4,1,5] => [1,5,4,3,6,2] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => 7
[6,2,3,4,5,1] => [1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => 6
[6,2,3,5,1,4] => [1,5,4,2,6,3] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => 7
[6,2,3,5,4,1] => [1,5,4,2,3,6] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => 8
[6,2,4,1,3,5] => [1,5,3,6,4,2] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => 8
[6,2,4,1,5,3] => [1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 9
[6,2,4,3,1,5] => [1,5,3,4,6,2] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => 10
[6,2,4,3,5,1] => [1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 9
[6,2,4,5,1,3] => [1,5,3,2,6,4] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => 7
[6,2,4,5,3,1] => [1,5,3,2,4,6] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => 8
[6,2,5,1,3,4] => [1,5,2,6,4,3] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => 8
[6,2,5,1,4,3] => [1,5,2,6,3,4] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 9
[6,2,5,3,1,4] => [1,5,2,4,6,3] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => 10
[6,2,5,3,4,1] => [1,5,2,4,3,6] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 9
[6,2,5,4,1,3] => [1,5,2,3,6,4] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => 10
[6,2,5,4,3,1] => [1,5,2,3,4,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => 11
[6,3,1,2,4,5] => [1,4,6,5,3,2] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => 9
[6,3,1,2,5,4] => [1,4,6,5,2,3] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => 10
[6,3,1,4,2,5] => [1,4,6,3,5,2] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => 11
[6,3,1,4,5,2] => [1,4,6,3,2,5] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => 10
[6,3,1,5,2,4] => [1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => 11
[6,3,1,5,4,2] => [1,4,6,2,3,5] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => 12
[6,3,2,1,4,5] => [1,4,5,6,3,2] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => 12
[6,3,2,1,5,4] => [1,4,5,6,2,3] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => 13
[6,3,2,4,1,5] => [1,4,5,3,6,2] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => 11
[6,3,2,4,5,1] => [1,4,5,3,2,6] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => 10
[6,3,2,5,1,4] => [1,4,5,2,6,3] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => 11
[6,3,2,5,4,1] => [1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => 12
[6,3,4,1,2,5] => [1,4,3,6,5,2] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => 8
[6,3,4,1,5,2] => [1,4,3,6,2,5] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 9
[6,3,4,2,1,5] => [1,4,3,5,6,2] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => 10
[6,3,4,2,5,1] => [1,4,3,5,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => 9
[6,3,4,5,1,2] => [1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => 7
[6,3,4,5,2,1] => [1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => 8
[6,3,5,1,2,4] => [1,4,2,6,5,3] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => 8
[6,3,5,1,4,2] => [1,4,2,6,3,5] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 9
[6,3,5,2,1,4] => [1,4,2,5,6,3] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => 10
[6,3,5,2,4,1] => [1,4,2,5,3,6] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 9
[6,3,5,4,1,2] => [1,4,2,3,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => 10
[6,3,5,4,2,1] => [1,4,2,3,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => 11
[6,4,1,2,3,5] => [1,3,6,5,4,2] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => 9
[6,4,1,2,5,3] => [1,3,6,5,2,4] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => 10
[6,4,1,3,2,5] => [1,3,6,4,5,2] => [.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => 11
[6,4,1,3,5,2] => [1,3,6,4,2,5] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => 10
[6,4,1,5,2,3] => [1,3,6,2,5,4] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => 11
[6,4,1,5,3,2] => [1,3,6,2,4,5] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => 12
[6,4,2,1,3,5] => [1,3,5,6,4,2] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => 12
[6,4,2,1,5,3] => [1,3,5,6,2,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => 13
[6,4,2,3,1,5] => [1,3,5,4,6,2] => [.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => 11
[6,4,2,3,5,1] => [1,3,5,4,2,6] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => 10
[6,4,2,5,1,3] => [1,3,5,2,6,4] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => 11
[6,4,2,5,3,1] => [1,3,5,2,4,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => 12
[6,4,3,1,2,5] => [1,3,4,6,5,2] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => 12
[6,4,3,1,5,2] => [1,3,4,6,2,5] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => 13
[6,4,3,2,1,5] => [1,3,4,5,6,2] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => 14
[6,4,3,2,5,1] => [1,3,4,5,2,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => 13
[6,4,3,5,1,2] => [1,3,4,2,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => 11
[6,4,3,5,2,1] => [1,3,4,2,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => 12
[6,4,5,1,2,3] => [1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => 8
[6,4,5,1,3,2] => [1,3,2,6,4,5] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 9
[6,4,5,2,1,3] => [1,3,2,5,6,4] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => 10
[6,4,5,2,3,1] => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => 9
[6,4,5,3,1,2] => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => 10
[6,4,5,3,2,1] => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => 11
[6,5,1,2,3,4] => [1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => 9
[6,5,1,2,4,3] => [1,2,6,5,3,4] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => 10
[6,5,1,3,2,4] => [1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => 11
[6,5,1,3,4,2] => [1,2,6,4,3,5] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => 10
[6,5,1,4,2,3] => [1,2,6,3,5,4] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => 11
[6,5,1,4,3,2] => [1,2,6,3,4,5] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => 12
[6,5,2,1,3,4] => [1,2,5,6,4,3] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => 12
[6,5,2,1,4,3] => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => 13
[6,5,2,3,1,4] => [1,2,5,4,6,3] => [.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => 11
[6,5,2,3,4,1] => [1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => 10
[6,5,2,4,1,3] => [1,2,5,3,6,4] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => 11
[6,5,2,4,3,1] => [1,2,5,3,4,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => 12
[6,5,3,1,2,4] => [1,2,4,6,5,3] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => 12
[6,5,3,1,4,2] => [1,2,4,6,3,5] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => 13
[6,5,3,2,1,4] => [1,2,4,5,6,3] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => 14
[6,5,3,2,4,1] => [1,2,4,5,3,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => 13
[6,5,3,4,1,2] => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => 11
[6,5,3,4,2,1] => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => 12
[6,5,4,1,2,3] => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => 12
[6,5,4,1,3,2] => [1,2,3,6,4,5] => [.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => 13
[6,5,4,2,1,3] => [1,2,3,5,6,4] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => 14
[6,5,4,2,3,1] => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => 13
[6,5,4,3,1,2] => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => 14
[6,5,4,3,2,1] => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => 15
[1,2,3,4,5,6,7] => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => 0
[1,2,3,4,5,7,6] => [7,6,5,4,3,1,2] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => 1
[1,2,3,4,6,5,7] => [7,6,5,4,2,3,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => 2
[1,2,3,4,6,7,5] => [7,6,5,4,2,1,3] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => 1
[1,2,3,4,7,5,6] => [7,6,5,4,1,3,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[1,2,3,4,7,6,5] => [7,6,5,4,1,2,3] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[1,2,3,5,4,6,7] => [7,6,5,3,4,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => 3
[1,2,3,5,4,7,6] => [7,6,5,3,4,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,2,3,5,6,4,7] => [7,6,5,3,2,4,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => 2
[1,2,3,5,6,7,4] => [7,6,5,3,2,1,4] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => 1
[1,2,3,5,7,4,6] => [7,6,5,3,1,4,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[1,2,3,5,7,6,4] => [7,6,5,3,1,2,4] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[1,2,3,6,4,5,7] => [7,6,5,2,4,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 3
[1,2,3,6,4,7,5] => [7,6,5,2,4,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,2,3,6,5,4,7] => [7,6,5,2,3,4,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 5
[1,2,3,6,5,7,4] => [7,6,5,2,3,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,2,3,6,7,4,5] => [7,6,5,2,1,4,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[1,2,3,6,7,5,4] => [7,6,5,2,1,3,4] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[1,2,3,7,4,5,6] => [7,6,5,1,4,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[1,2,3,7,4,6,5] => [7,6,5,1,4,2,3] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,2,3,7,5,4,6] => [7,6,5,1,3,4,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[1,2,3,7,5,6,4] => [7,6,5,1,3,2,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,2,3,7,6,4,5] => [7,6,5,1,2,4,3] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[1,2,4,3,5,6,7] => [7,6,4,5,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => 4
[1,2,4,3,5,7,6] => [7,6,4,5,3,1,2] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[1,2,4,3,6,5,7] => [7,6,4,5,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[1,2,4,3,6,7,5] => [7,6,4,5,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[1,2,4,3,7,5,6] => [7,6,4,5,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,2,4,3,7,6,5] => [7,6,4,5,1,2,3] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,2,4,5,3,6,7] => [7,6,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => 3
[1,2,4,5,3,7,6] => [7,6,4,3,5,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,2,4,5,6,3,7] => [7,6,4,3,2,5,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => 2
[1,2,4,5,6,7,3] => [7,6,4,3,2,1,5] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => 1
[1,2,4,5,7,3,6] => [7,6,4,3,1,5,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[1,2,4,5,7,6,3] => [7,6,4,3,1,2,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[1,2,4,6,3,5,7] => [7,6,4,2,5,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 3
[1,2,4,6,3,7,5] => [7,6,4,2,5,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,2,4,6,5,3,7] => [7,6,4,2,3,5,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 5
[1,2,4,6,5,7,3] => [7,6,4,2,3,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,2,4,6,7,3,5] => [7,6,4,2,1,5,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[1,2,4,6,7,5,3] => [7,6,4,2,1,3,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[1,2,4,7,3,5,6] => [7,6,4,1,5,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[1,2,4,7,3,6,5] => [7,6,4,1,5,2,3] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,2,4,7,5,3,6] => [7,6,4,1,3,5,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[1,2,4,7,5,6,3] => [7,6,4,1,3,2,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,2,4,7,6,3,5] => [7,6,4,1,2,5,3] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[1,2,4,7,6,5,3] => [7,6,4,1,2,3,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[1,2,5,3,4,6,7] => [7,6,3,5,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => 4
[1,2,5,3,4,7,6] => [7,6,3,5,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,2,5,3,6,4,7] => [7,6,3,5,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[1,2,5,3,6,7,4] => [7,6,3,5,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[1,2,5,3,7,4,6] => [7,6,3,5,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,2,5,3,7,6,4] => [7,6,3,5,1,2,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,2,5,4,3,6,7] => [7,6,3,4,5,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => 7
[1,2,5,4,3,7,6] => [7,6,3,4,5,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,2,5,4,6,3,7] => [7,6,3,4,2,5,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[1,2,5,4,6,7,3] => [7,6,3,4,2,1,5] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[1,2,5,4,7,3,6] => [7,6,3,4,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,2,5,4,7,6,3] => [7,6,3,4,1,2,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,2,5,6,3,4,7] => [7,6,3,2,5,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 3
[1,2,5,6,3,7,4] => [7,6,3,2,5,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,2,5,6,4,3,7] => [7,6,3,2,4,5,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 5
[1,2,5,6,4,7,3] => [7,6,3,2,4,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,2,5,6,7,3,4] => [7,6,3,2,1,5,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[1,2,5,6,7,4,3] => [7,6,3,2,1,4,5] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[1,2,5,7,3,4,6] => [7,6,3,1,5,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[1,2,5,7,3,6,4] => [7,6,3,1,5,2,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,2,5,7,4,3,6] => [7,6,3,1,4,5,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[1,2,5,7,4,6,3] => [7,6,3,1,4,2,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,2,5,7,6,3,4] => [7,6,3,1,2,5,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[1,2,5,7,6,4,3] => [7,6,3,1,2,4,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[1,2,6,3,4,5,7] => [7,6,2,5,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 4
[1,2,6,3,4,7,5] => [7,6,2,5,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,2,6,3,5,4,7] => [7,6,2,5,3,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[1,2,6,3,5,7,4] => [7,6,2,5,3,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,2,6,3,7,4,5] => [7,6,2,5,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,2,6,3,7,5,4] => [7,6,2,5,1,3,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,2,6,4,3,5,7] => [7,6,2,4,5,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 7
[1,2,6,4,3,7,5] => [7,6,2,4,5,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,2,6,4,5,3,7] => [7,6,2,4,3,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[1,2,6,4,5,7,3] => [7,6,2,4,3,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,2,6,4,7,3,5] => [7,6,2,4,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,2,6,4,7,5,3] => [7,6,2,4,1,3,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,2,6,5,3,4,7] => [7,6,2,3,5,4,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 7
[1,2,6,5,3,7,4] => [7,6,2,3,5,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,2,6,5,4,3,7] => [7,6,2,3,4,5,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 9
[1,2,6,5,4,7,3] => [7,6,2,3,4,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,2,6,5,7,3,4] => [7,6,2,3,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,2,6,5,7,4,3] => [7,6,2,3,1,4,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,2,6,7,3,4,5] => [7,6,2,1,5,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[1,2,6,7,3,5,4] => [7,6,2,1,5,3,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,2,6,7,4,3,5] => [7,6,2,1,4,5,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[1,2,6,7,4,5,3] => [7,6,2,1,4,3,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,2,6,7,5,3,4] => [7,6,2,1,3,5,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[1,2,6,7,5,4,3] => [7,6,2,1,3,4,5] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[1,2,7,3,4,5,6] => [7,6,1,5,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[1,2,7,3,4,6,5] => [7,6,1,5,4,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,2,7,3,5,4,6] => [7,6,1,5,3,4,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[1,2,7,3,5,6,4] => [7,6,1,5,3,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,2,7,3,6,4,5] => [7,6,1,5,2,4,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,2,7,3,6,5,4] => [7,6,1,5,2,3,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,2,7,4,3,5,6] => [7,6,1,4,5,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[1,2,7,4,3,6,5] => [7,6,1,4,5,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,2,7,4,5,3,6] => [7,6,1,4,3,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[1,2,7,4,5,6,3] => [7,6,1,4,3,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,2,7,4,6,3,5] => [7,6,1,4,2,5,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,2,7,4,6,5,3] => [7,6,1,4,2,3,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,2,7,5,3,4,6] => [7,6,1,3,5,4,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[1,2,7,5,3,6,4] => [7,6,1,3,5,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,2,7,5,4,3,6] => [7,6,1,3,4,5,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[1,2,7,5,4,6,3] => [7,6,1,3,4,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,2,7,5,6,3,4] => [7,6,1,3,2,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,2,7,5,6,4,3] => [7,6,1,3,2,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,2,7,6,3,4,5] => [7,6,1,2,5,4,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[1,2,7,6,3,5,4] => [7,6,1,2,5,3,4] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[1,2,7,6,4,3,5] => [7,6,1,2,4,5,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[1,2,7,6,4,5,3] => [7,6,1,2,4,3,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[1,2,7,6,5,3,4] => [7,6,1,2,3,5,4] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[1,2,7,6,5,4,3] => [7,6,1,2,3,4,5] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[1,3,2,4,5,6,7] => [7,5,6,4,3,2,1] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => 5
[1,3,2,4,5,7,6] => [7,5,6,4,3,1,2] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 6
[1,3,2,4,6,5,7] => [7,5,6,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 7
[1,3,2,4,6,7,5] => [7,5,6,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 6
[1,3,2,4,7,5,6] => [7,5,6,4,1,3,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[1,3,2,4,7,6,5] => [7,5,6,4,1,2,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[1,3,2,5,4,6,7] => [7,5,6,3,4,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 8
[1,3,2,5,4,7,6] => [7,5,6,3,4,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,3,2,5,6,4,7] => [7,5,6,3,2,4,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 7
[1,3,2,5,6,7,4] => [7,5,6,3,2,1,4] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 6
[1,3,2,5,7,4,6] => [7,5,6,3,1,4,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[1,3,2,5,7,6,4] => [7,5,6,3,1,2,4] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[1,3,2,6,4,5,7] => [7,5,6,2,4,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[1,3,2,6,4,7,5] => [7,5,6,2,4,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,3,2,6,5,4,7] => [7,5,6,2,3,4,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[1,3,2,6,5,7,4] => [7,5,6,2,3,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,3,2,6,7,4,5] => [7,5,6,2,1,4,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[1,3,2,6,7,5,4] => [7,5,6,2,1,3,4] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[1,3,2,7,4,5,6] => [7,5,6,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[1,3,2,7,4,6,5] => [7,5,6,1,4,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,3,2,7,5,4,6] => [7,5,6,1,3,4,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[1,3,2,7,5,6,4] => [7,5,6,1,3,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,3,2,7,6,4,5] => [7,5,6,1,2,4,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[1,3,2,7,6,5,4] => [7,5,6,1,2,3,4] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[1,3,4,2,5,6,7] => [7,5,4,6,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => 4
[1,3,4,2,5,7,6] => [7,5,4,6,3,1,2] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[1,3,4,2,6,5,7] => [7,5,4,6,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[1,3,4,2,6,7,5] => [7,5,4,6,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[1,3,4,2,7,5,6] => [7,5,4,6,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,3,4,2,7,6,5] => [7,5,4,6,1,2,3] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,3,4,5,2,6,7] => [7,5,4,3,6,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => 3
[1,3,4,5,2,7,6] => [7,5,4,3,6,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,3,4,5,6,2,7] => [7,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => 2
[1,3,4,5,6,7,2] => [7,5,4,3,2,1,6] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => 1
[1,3,4,5,7,2,6] => [7,5,4,3,1,6,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[1,3,4,5,7,6,2] => [7,5,4,3,1,2,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[1,3,4,6,2,5,7] => [7,5,4,2,6,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 3
[1,3,4,6,2,7,5] => [7,5,4,2,6,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,3,4,6,5,2,7] => [7,5,4,2,3,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 5
[1,3,4,6,5,7,2] => [7,5,4,2,3,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,3,4,6,7,2,5] => [7,5,4,2,1,6,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[1,3,4,6,7,5,2] => [7,5,4,2,1,3,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[1,3,4,7,2,5,6] => [7,5,4,1,6,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[1,3,4,7,2,6,5] => [7,5,4,1,6,2,3] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,3,4,7,5,2,6] => [7,5,4,1,3,6,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[1,3,4,7,5,6,2] => [7,5,4,1,3,2,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,3,4,7,6,2,5] => [7,5,4,1,2,6,3] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[1,3,4,7,6,5,2] => [7,5,4,1,2,3,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[1,3,5,2,4,6,7] => [7,5,3,6,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => 4
[1,3,5,2,4,7,6] => [7,5,3,6,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,3,5,2,6,4,7] => [7,5,3,6,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[1,3,5,2,6,7,4] => [7,5,3,6,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[1,3,5,2,7,4,6] => [7,5,3,6,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,3,5,2,7,6,4] => [7,5,3,6,1,2,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,3,5,4,2,6,7] => [7,5,3,4,6,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => 7
[1,3,5,4,2,7,6] => [7,5,3,4,6,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,3,5,4,6,2,7] => [7,5,3,4,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[1,3,5,4,6,7,2] => [7,5,3,4,2,1,6] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[1,3,5,4,7,2,6] => [7,5,3,4,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,3,5,4,7,6,2] => [7,5,3,4,1,2,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,3,5,6,2,4,7] => [7,5,3,2,6,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 3
[1,3,5,6,2,7,4] => [7,5,3,2,6,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,3,5,6,4,2,7] => [7,5,3,2,4,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 5
[1,3,5,6,4,7,2] => [7,5,3,2,4,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,3,5,6,7,2,4] => [7,5,3,2,1,6,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[1,3,5,6,7,4,2] => [7,5,3,2,1,4,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[1,3,5,7,2,4,6] => [7,5,3,1,6,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[1,3,5,7,2,6,4] => [7,5,3,1,6,2,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,3,5,7,4,2,6] => [7,5,3,1,4,6,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[1,3,5,7,4,6,2] => [7,5,3,1,4,2,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,3,5,7,6,2,4] => [7,5,3,1,2,6,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[1,3,5,7,6,4,2] => [7,5,3,1,2,4,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[1,3,6,2,4,5,7] => [7,5,2,6,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 4
[1,3,6,2,4,7,5] => [7,5,2,6,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,3,6,2,5,4,7] => [7,5,2,6,3,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[1,3,6,2,5,7,4] => [7,5,2,6,3,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,3,6,2,7,4,5] => [7,5,2,6,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,3,6,2,7,5,4] => [7,5,2,6,1,3,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,3,6,4,2,5,7] => [7,5,2,4,6,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 7
[1,3,6,4,2,7,5] => [7,5,2,4,6,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,3,6,4,5,2,7] => [7,5,2,4,3,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[1,3,6,4,5,7,2] => [7,5,2,4,3,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,3,6,4,7,2,5] => [7,5,2,4,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,3,6,4,7,5,2] => [7,5,2,4,1,3,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,3,6,5,2,4,7] => [7,5,2,3,6,4,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 7
[1,3,6,5,2,7,4] => [7,5,2,3,6,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,3,6,5,4,2,7] => [7,5,2,3,4,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 9
[1,3,6,5,4,7,2] => [7,5,2,3,4,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,3,6,5,7,2,4] => [7,5,2,3,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,3,6,5,7,4,2] => [7,5,2,3,1,4,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,3,6,7,2,4,5] => [7,5,2,1,6,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[1,3,6,7,2,5,4] => [7,5,2,1,6,3,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,3,6,7,4,2,5] => [7,5,2,1,4,6,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[1,3,6,7,4,5,2] => [7,5,2,1,4,3,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,3,6,7,5,2,4] => [7,5,2,1,3,6,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[1,3,6,7,5,4,2] => [7,5,2,1,3,4,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[1,3,7,2,4,5,6] => [7,5,1,6,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[1,3,7,2,4,6,5] => [7,5,1,6,4,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,3,7,2,5,4,6] => [7,5,1,6,3,4,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[1,3,7,2,5,6,4] => [7,5,1,6,3,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,3,7,2,6,4,5] => [7,5,1,6,2,4,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,3,7,2,6,5,4] => [7,5,1,6,2,3,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,3,7,4,2,5,6] => [7,5,1,4,6,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[1,3,7,4,2,6,5] => [7,5,1,4,6,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,3,7,4,5,2,6] => [7,5,1,4,3,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[1,3,7,4,5,6,2] => [7,5,1,4,3,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,3,7,4,6,2,5] => [7,5,1,4,2,6,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,3,7,4,6,5,2] => [7,5,1,4,2,3,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,3,7,5,2,4,6] => [7,5,1,3,6,4,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[1,3,7,5,2,6,4] => [7,5,1,3,6,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,3,7,5,4,2,6] => [7,5,1,3,4,6,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[1,3,7,5,4,6,2] => [7,5,1,3,4,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,3,7,5,6,2,4] => [7,5,1,3,2,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,3,7,5,6,4,2] => [7,5,1,3,2,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,3,7,6,2,4,5] => [7,5,1,2,6,4,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[1,3,7,6,2,5,4] => [7,5,1,2,6,3,4] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[1,3,7,6,4,2,5] => [7,5,1,2,4,6,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[1,3,7,6,4,5,2] => [7,5,1,2,4,3,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[1,3,7,6,5,2,4] => [7,5,1,2,3,6,4] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[1,3,7,6,5,4,2] => [7,5,1,2,3,4,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[1,4,2,3,5,6,7] => [7,4,6,5,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => 5
[1,4,2,3,5,7,6] => [7,4,6,5,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[1,4,2,3,6,5,7] => [7,4,6,5,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[1,4,2,3,6,7,5] => [7,4,6,5,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[1,4,2,3,7,5,6] => [7,4,6,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[1,4,2,3,7,6,5] => [7,4,6,5,1,2,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[1,4,2,5,3,6,7] => [7,4,6,3,5,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 8
[1,4,2,5,3,7,6] => [7,4,6,3,5,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,4,2,5,6,3,7] => [7,4,6,3,2,5,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 7
[1,4,2,5,6,7,3] => [7,4,6,3,2,1,5] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 6
[1,4,2,5,7,3,6] => [7,4,6,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[1,4,2,5,7,6,3] => [7,4,6,3,1,2,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[1,4,2,6,3,5,7] => [7,4,6,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[1,4,2,6,3,7,5] => [7,4,6,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,4,2,6,5,3,7] => [7,4,6,2,3,5,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[1,4,2,6,5,7,3] => [7,4,6,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,4,2,6,7,3,5] => [7,4,6,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[1,4,2,6,7,5,3] => [7,4,6,2,1,3,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[1,4,2,7,3,5,6] => [7,4,6,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[1,4,2,7,3,6,5] => [7,4,6,1,5,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,4,2,7,5,3,6] => [7,4,6,1,3,5,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[1,4,2,7,5,6,3] => [7,4,6,1,3,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,4,2,7,6,3,5] => [7,4,6,1,2,5,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[1,4,2,7,6,5,3] => [7,4,6,1,2,3,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[1,4,3,2,5,6,7] => [7,4,5,6,3,2,1] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => 9
[1,4,3,2,5,7,6] => [7,4,5,6,3,1,2] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[1,4,3,2,6,5,7] => [7,4,5,6,2,3,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[1,4,3,2,6,7,5] => [7,4,5,6,2,1,3] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[1,4,3,2,7,5,6] => [7,4,5,6,1,3,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[1,4,3,2,7,6,5] => [7,4,5,6,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[1,4,3,5,2,6,7] => [7,4,5,3,6,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 8
[1,4,3,5,2,7,6] => [7,4,5,3,6,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,4,3,5,6,2,7] => [7,4,5,3,2,6,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 7
[1,4,3,5,6,7,2] => [7,4,5,3,2,1,6] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 6
[1,4,3,5,7,2,6] => [7,4,5,3,1,6,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[1,4,3,5,7,6,2] => [7,4,5,3,1,2,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[1,4,3,6,2,5,7] => [7,4,5,2,6,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[1,4,3,6,2,7,5] => [7,4,5,2,6,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,4,3,6,5,2,7] => [7,4,5,2,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[1,4,3,6,5,7,2] => [7,4,5,2,3,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,4,3,6,7,2,5] => [7,4,5,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[1,4,3,6,7,5,2] => [7,4,5,2,1,3,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[1,4,3,7,2,5,6] => [7,4,5,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[1,4,3,7,2,6,5] => [7,4,5,1,6,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,4,3,7,5,2,6] => [7,4,5,1,3,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[1,4,3,7,5,6,2] => [7,4,5,1,3,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,4,3,7,6,2,5] => [7,4,5,1,2,6,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[1,4,3,7,6,5,2] => [7,4,5,1,2,3,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[1,4,5,2,3,6,7] => [7,4,3,6,5,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => 4
[1,4,5,2,3,7,6] => [7,4,3,6,5,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,4,5,2,6,3,7] => [7,4,3,6,2,5,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[1,4,5,2,6,7,3] => [7,4,3,6,2,1,5] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[1,4,5,2,7,3,6] => [7,4,3,6,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,4,5,2,7,6,3] => [7,4,3,6,1,2,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,4,5,3,2,6,7] => [7,4,3,5,6,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => 7
[1,4,5,3,2,7,6] => [7,4,3,5,6,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,4,5,3,6,2,7] => [7,4,3,5,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[1,4,5,3,6,7,2] => [7,4,3,5,2,1,6] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[1,4,5,3,7,2,6] => [7,4,3,5,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,4,5,3,7,6,2] => [7,4,3,5,1,2,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,4,5,6,2,3,7] => [7,4,3,2,6,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 3
[1,4,5,6,2,7,3] => [7,4,3,2,6,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,4,5,6,3,2,7] => [7,4,3,2,5,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 5
[1,4,5,6,3,7,2] => [7,4,3,2,5,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[1,4,5,6,7,2,3] => [7,4,3,2,1,6,5] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[1,4,5,6,7,3,2] => [7,4,3,2,1,5,6] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[1,4,5,7,2,3,6] => [7,4,3,1,6,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[1,4,5,7,2,6,3] => [7,4,3,1,6,2,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,4,5,7,3,2,6] => [7,4,3,1,5,6,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[1,4,5,7,3,6,2] => [7,4,3,1,5,2,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,4,5,7,6,2,3] => [7,4,3,1,2,6,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[1,4,5,7,6,3,2] => [7,4,3,1,2,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[1,4,6,2,3,5,7] => [7,4,2,6,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 4
[1,4,6,2,3,7,5] => [7,4,2,6,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,4,6,2,5,3,7] => [7,4,2,6,3,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[1,4,6,2,5,7,3] => [7,4,2,6,3,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,4,6,2,7,3,5] => [7,4,2,6,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,4,6,2,7,5,3] => [7,4,2,6,1,3,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,4,6,3,2,5,7] => [7,4,2,5,6,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 7
[1,4,6,3,2,7,5] => [7,4,2,5,6,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,4,6,3,5,2,7] => [7,4,2,5,3,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[1,4,6,3,5,7,2] => [7,4,2,5,3,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,4,6,3,7,2,5] => [7,4,2,5,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,4,6,3,7,5,2] => [7,4,2,5,1,3,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,4,6,5,2,3,7] => [7,4,2,3,6,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 7
[1,4,6,5,2,7,3] => [7,4,2,3,6,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,4,6,5,3,2,7] => [7,4,2,3,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 9
[1,4,6,5,3,7,2] => [7,4,2,3,5,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,4,6,5,7,2,3] => [7,4,2,3,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,4,6,5,7,3,2] => [7,4,2,3,1,5,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,4,6,7,2,3,5] => [7,4,2,1,6,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[1,4,6,7,2,5,3] => [7,4,2,1,6,3,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,4,6,7,3,2,5] => [7,4,2,1,5,6,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[1,4,6,7,3,5,2] => [7,4,2,1,5,3,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,4,6,7,5,2,3] => [7,4,2,1,3,6,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[1,4,6,7,5,3,2] => [7,4,2,1,3,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[1,4,7,2,3,5,6] => [7,4,1,6,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[1,4,7,2,3,6,5] => [7,4,1,6,5,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,4,7,2,5,3,6] => [7,4,1,6,3,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[1,4,7,2,5,6,3] => [7,4,1,6,3,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,4,7,2,6,3,5] => [7,4,1,6,2,5,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,4,7,2,6,5,3] => [7,4,1,6,2,3,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,4,7,3,2,5,6] => [7,4,1,5,6,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[1,4,7,3,2,6,5] => [7,4,1,5,6,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,4,7,3,5,2,6] => [7,4,1,5,3,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[1,4,7,3,5,6,2] => [7,4,1,5,3,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,4,7,3,6,2,5] => [7,4,1,5,2,6,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,4,7,3,6,5,2] => [7,4,1,5,2,3,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,4,7,5,2,3,6] => [7,4,1,3,6,5,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[1,4,7,5,2,6,3] => [7,4,1,3,6,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,4,7,5,3,2,6] => [7,4,1,3,5,6,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[1,4,7,5,3,6,2] => [7,4,1,3,5,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,4,7,5,6,2,3] => [7,4,1,3,2,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,4,7,5,6,3,2] => [7,4,1,3,2,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,4,7,6,2,3,5] => [7,4,1,2,6,5,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[1,4,7,6,2,5,3] => [7,4,1,2,6,3,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[1,4,7,6,3,2,5] => [7,4,1,2,5,6,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[1,4,7,6,3,5,2] => [7,4,1,2,5,3,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[1,4,7,6,5,2,3] => [7,4,1,2,3,6,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[1,4,7,6,5,3,2] => [7,4,1,2,3,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[1,5,2,3,4,6,7] => [7,3,6,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => 5
[1,5,2,3,4,7,6] => [7,3,6,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[1,5,2,3,6,4,7] => [7,3,6,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[1,5,2,3,6,7,4] => [7,3,6,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[1,5,2,3,7,4,6] => [7,3,6,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[1,5,2,3,7,6,4] => [7,3,6,5,1,2,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[1,5,2,4,3,6,7] => [7,3,6,4,5,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => 8
[1,5,2,4,3,7,6] => [7,3,6,4,5,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[1,5,2,4,6,3,7] => [7,3,6,4,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[1,5,2,4,6,7,3] => [7,3,6,4,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[1,5,2,4,7,3,6] => [7,3,6,4,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[1,5,2,4,7,6,3] => [7,3,6,4,1,2,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[1,5,2,6,3,4,7] => [7,3,6,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[1,5,2,6,3,7,4] => [7,3,6,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,5,2,6,4,3,7] => [7,3,6,2,4,5,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[1,5,2,6,4,7,3] => [7,3,6,2,4,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,5,2,6,7,3,4] => [7,3,6,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[1,5,2,6,7,4,3] => [7,3,6,2,1,4,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[1,5,2,7,3,4,6] => [7,3,6,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[1,5,2,7,3,6,4] => [7,3,6,1,5,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,5,2,7,4,3,6] => [7,3,6,1,4,5,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[1,5,2,7,4,6,3] => [7,3,6,1,4,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,5,2,7,6,3,4] => [7,3,6,1,2,5,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[1,5,2,7,6,4,3] => [7,3,6,1,2,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[1,5,3,2,4,6,7] => [7,3,5,6,4,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => 9
[1,5,3,2,4,7,6] => [7,3,5,6,4,1,2] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[1,5,3,2,6,4,7] => [7,3,5,6,2,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[1,5,3,2,6,7,4] => [7,3,5,6,2,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[1,5,3,2,7,4,6] => [7,3,5,6,1,4,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[1,5,3,2,7,6,4] => [7,3,5,6,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[1,5,3,4,2,6,7] => [7,3,5,4,6,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => 8
[1,5,3,4,2,7,6] => [7,3,5,4,6,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[1,5,3,4,6,2,7] => [7,3,5,4,2,6,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[1,5,3,4,6,7,2] => [7,3,5,4,2,1,6] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[1,5,3,4,7,2,6] => [7,3,5,4,1,6,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[1,5,3,4,7,6,2] => [7,3,5,4,1,2,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[1,5,3,6,2,4,7] => [7,3,5,2,6,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[1,5,3,6,2,7,4] => [7,3,5,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,5,3,6,4,2,7] => [7,3,5,2,4,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[1,5,3,6,4,7,2] => [7,3,5,2,4,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,5,3,6,7,2,4] => [7,3,5,2,1,6,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[1,5,3,6,7,4,2] => [7,3,5,2,1,4,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[1,5,3,7,2,4,6] => [7,3,5,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[1,5,3,7,2,6,4] => [7,3,5,1,6,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,5,3,7,4,2,6] => [7,3,5,1,4,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[1,5,3,7,4,6,2] => [7,3,5,1,4,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,5,3,7,6,2,4] => [7,3,5,1,2,6,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[1,5,3,7,6,4,2] => [7,3,5,1,2,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[1,5,4,2,3,6,7] => [7,3,4,6,5,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => 9
[1,5,4,2,3,7,6] => [7,3,4,6,5,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[1,5,4,2,6,3,7] => [7,3,4,6,2,5,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[1,5,4,2,6,7,3] => [7,3,4,6,2,1,5] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[1,5,4,2,7,3,6] => [7,3,4,6,1,5,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[1,5,4,2,7,6,3] => [7,3,4,6,1,2,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[1,5,4,3,6,2,7] => [7,3,4,5,2,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[1,5,4,3,6,7,2] => [7,3,4,5,2,1,6] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[1,5,4,3,7,2,6] => [7,3,4,5,1,6,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[1,5,4,3,7,6,2] => [7,3,4,5,1,2,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[1,5,4,6,2,3,7] => [7,3,4,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[1,5,4,6,2,7,3] => [7,3,4,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,5,4,6,3,2,7] => [7,3,4,2,5,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[1,5,4,6,3,7,2] => [7,3,4,2,5,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[1,5,4,6,7,2,3] => [7,3,4,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[1,5,4,6,7,3,2] => [7,3,4,2,1,5,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[1,5,4,7,2,3,6] => [7,3,4,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[1,5,4,7,2,6,3] => [7,3,4,1,6,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,5,4,7,3,2,6] => [7,3,4,1,5,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[1,5,4,7,3,6,2] => [7,3,4,1,5,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,5,4,7,6,2,3] => [7,3,4,1,2,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[1,5,4,7,6,3,2] => [7,3,4,1,2,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[1,5,6,2,3,4,7] => [7,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 4
[1,5,6,2,3,7,4] => [7,3,2,6,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,5,6,2,4,3,7] => [7,3,2,6,4,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[1,5,6,2,4,7,3] => [7,3,2,6,4,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,5,6,2,7,3,4] => [7,3,2,6,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,5,6,2,7,4,3] => [7,3,2,6,1,4,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,5,6,3,2,4,7] => [7,3,2,5,6,4,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 7
[1,5,6,3,2,7,4] => [7,3,2,5,6,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,5,6,3,4,2,7] => [7,3,2,5,4,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[1,5,6,3,4,7,2] => [7,3,2,5,4,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[1,5,6,3,7,2,4] => [7,3,2,5,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,5,6,3,7,4,2] => [7,3,2,5,1,4,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,5,6,4,2,3,7] => [7,3,2,4,6,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 7
[1,5,6,4,2,7,3] => [7,3,2,4,6,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,5,6,4,3,2,7] => [7,3,2,4,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 9
[1,5,6,4,3,7,2] => [7,3,2,4,5,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[1,5,6,4,7,2,3] => [7,3,2,4,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[1,5,6,4,7,3,2] => [7,3,2,4,1,5,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[1,5,6,7,2,3,4] => [7,3,2,1,6,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[1,5,6,7,2,4,3] => [7,3,2,1,6,4,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,5,6,7,3,2,4] => [7,3,2,1,5,6,4] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[1,5,6,7,3,4,2] => [7,3,2,1,5,4,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[1,5,6,7,4,2,3] => [7,3,2,1,4,6,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[1,5,6,7,4,3,2] => [7,3,2,1,4,5,6] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[1,5,7,2,3,4,6] => [7,3,1,6,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[1,5,7,2,3,6,4] => [7,3,1,6,5,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,5,7,2,4,3,6] => [7,3,1,6,4,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[1,5,7,2,4,6,3] => [7,3,1,6,4,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,5,7,2,6,3,4] => [7,3,1,6,2,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,5,7,2,6,4,3] => [7,3,1,6,2,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,5,7,3,2,4,6] => [7,3,1,5,6,4,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[1,5,7,3,2,6,4] => [7,3,1,5,6,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,5,7,3,4,2,6] => [7,3,1,5,4,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[1,5,7,3,4,6,2] => [7,3,1,5,4,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,5,7,3,6,2,4] => [7,3,1,5,2,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,5,7,3,6,4,2] => [7,3,1,5,2,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,5,7,4,2,3,6] => [7,3,1,4,6,5,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[1,5,7,4,2,6,3] => [7,3,1,4,6,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,5,7,4,3,2,6] => [7,3,1,4,5,6,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[1,5,7,4,3,6,2] => [7,3,1,4,5,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,5,7,4,6,2,3] => [7,3,1,4,2,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,5,7,4,6,3,2] => [7,3,1,4,2,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,5,7,6,2,3,4] => [7,3,1,2,6,5,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[1,5,7,6,2,4,3] => [7,3,1,2,6,4,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[1,5,7,6,3,2,4] => [7,3,1,2,5,6,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[1,5,7,6,3,4,2] => [7,3,1,2,5,4,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[1,5,7,6,4,2,3] => [7,3,1,2,4,6,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[1,5,7,6,4,3,2] => [7,3,1,2,4,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[1,6,2,3,4,5,7] => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => 5
[1,6,2,3,4,7,5] => [7,2,6,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[1,6,2,3,5,4,7] => [7,2,6,5,3,4,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[1,6,2,3,5,7,4] => [7,2,6,5,3,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[1,6,2,3,7,4,5] => [7,2,6,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[1,6,2,3,7,5,4] => [7,2,6,5,1,3,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[1,6,2,4,3,5,7] => [7,2,6,4,5,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 8
[1,6,2,4,3,7,5] => [7,2,6,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[1,6,2,4,5,3,7] => [7,2,6,4,3,5,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[1,6,2,4,5,7,3] => [7,2,6,4,3,1,5] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[1,6,2,4,7,3,5] => [7,2,6,4,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[1,6,2,4,7,5,3] => [7,2,6,4,1,3,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[1,6,2,5,3,4,7] => [7,2,6,3,5,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[1,6,2,5,3,7,4] => [7,2,6,3,5,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[1,6,2,5,4,3,7] => [7,2,6,3,4,5,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[1,6,2,5,4,7,3] => [7,2,6,3,4,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[1,6,2,5,7,3,4] => [7,2,6,3,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[1,6,2,5,7,4,3] => [7,2,6,3,1,4,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[1,6,2,7,3,4,5] => [7,2,6,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[1,6,2,7,3,5,4] => [7,2,6,1,5,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,6,2,7,4,3,5] => [7,2,6,1,4,5,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[1,6,2,7,4,5,3] => [7,2,6,1,4,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,6,2,7,5,3,4] => [7,2,6,1,3,5,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[1,6,2,7,5,4,3] => [7,2,6,1,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[1,6,3,2,4,5,7] => [7,2,5,6,4,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => 9
[1,6,3,2,4,7,5] => [7,2,5,6,4,1,3] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[1,6,3,2,5,4,7] => [7,2,5,6,3,4,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[1,6,3,2,5,7,4] => [7,2,5,6,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[1,6,3,2,7,4,5] => [7,2,5,6,1,4,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[1,6,3,2,7,5,4] => [7,2,5,6,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[1,6,3,4,2,5,7] => [7,2,5,4,6,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 8
[1,6,3,4,2,7,5] => [7,2,5,4,6,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[1,6,3,4,5,2,7] => [7,2,5,4,3,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[1,6,3,4,5,7,2] => [7,2,5,4,3,1,6] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[1,6,3,4,7,2,5] => [7,2,5,4,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[1,6,3,4,7,5,2] => [7,2,5,4,1,3,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[1,6,3,5,2,4,7] => [7,2,5,3,6,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[1,6,3,5,2,7,4] => [7,2,5,3,6,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[1,6,3,5,4,2,7] => [7,2,5,3,4,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[1,6,3,5,4,7,2] => [7,2,5,3,4,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[1,6,3,5,7,2,4] => [7,2,5,3,1,6,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[1,6,3,5,7,4,2] => [7,2,5,3,1,4,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[1,6,3,7,2,4,5] => [7,2,5,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[1,6,3,7,2,5,4] => [7,2,5,1,6,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,6,3,7,4,2,5] => [7,2,5,1,4,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[1,6,3,7,4,5,2] => [7,2,5,1,4,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,6,3,7,5,2,4] => [7,2,5,1,3,6,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[1,6,3,7,5,4,2] => [7,2,5,1,3,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[1,6,4,2,3,5,7] => [7,2,4,6,5,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => 9
[1,6,4,2,3,7,5] => [7,2,4,6,5,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[1,6,4,2,5,3,7] => [7,2,4,6,3,5,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[1,6,4,2,5,7,3] => [7,2,4,6,3,1,5] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[1,6,4,2,7,3,5] => [7,2,4,6,1,5,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[1,6,4,2,7,5,3] => [7,2,4,6,1,3,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[1,6,4,3,5,2,7] => [7,2,4,5,3,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[1,6,4,3,5,7,2] => [7,2,4,5,3,1,6] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[1,6,4,3,7,2,5] => [7,2,4,5,1,6,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[1,6,4,3,7,5,2] => [7,2,4,5,1,3,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[1,6,4,5,2,3,7] => [7,2,4,3,6,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[1,6,4,5,2,7,3] => [7,2,4,3,6,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[1,6,4,5,3,2,7] => [7,2,4,3,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[1,6,4,5,3,7,2] => [7,2,4,3,5,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[1,6,4,5,7,2,3] => [7,2,4,3,1,6,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[1,6,4,5,7,3,2] => [7,2,4,3,1,5,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[1,6,4,7,2,3,5] => [7,2,4,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[1,6,4,7,2,5,3] => [7,2,4,1,6,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,6,4,7,3,2,5] => [7,2,4,1,5,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[1,6,4,7,3,5,2] => [7,2,4,1,5,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,6,4,7,5,2,3] => [7,2,4,1,3,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[1,6,4,7,5,3,2] => [7,2,4,1,3,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[1,6,5,2,3,4,7] => [7,2,3,6,5,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => 9
[1,6,5,2,3,7,4] => [7,2,3,6,5,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[1,6,5,2,4,3,7] => [7,2,3,6,4,5,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 11
[1,6,5,2,4,7,3] => [7,2,3,6,4,1,5] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[1,6,5,2,7,3,4] => [7,2,3,6,1,5,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[1,6,5,2,7,4,3] => [7,2,3,6,1,4,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[1,6,5,3,4,2,7] => [7,2,3,5,4,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 11
[1,6,5,3,4,7,2] => [7,2,3,5,4,1,6] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[1,6,5,3,7,2,4] => [7,2,3,5,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[1,6,5,3,7,4,2] => [7,2,3,5,1,4,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[1,6,5,4,7,2,3] => [7,2,3,4,1,6,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[1,6,5,4,7,3,2] => [7,2,3,4,1,5,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[1,6,5,7,2,3,4] => [7,2,3,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[1,6,5,7,2,4,3] => [7,2,3,1,6,4,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,6,5,7,3,2,4] => [7,2,3,1,5,6,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[1,6,5,7,3,4,2] => [7,2,3,1,5,4,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[1,6,5,7,4,2,3] => [7,2,3,1,4,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[1,6,5,7,4,3,2] => [7,2,3,1,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[1,6,7,2,3,4,5] => [7,2,1,6,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[1,6,7,2,3,5,4] => [7,2,1,6,5,3,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,6,7,2,4,3,5] => [7,2,1,6,4,5,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[1,6,7,2,4,5,3] => [7,2,1,6,4,3,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,6,7,2,5,3,4] => [7,2,1,6,3,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,6,7,2,5,4,3] => [7,2,1,6,3,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,6,7,3,2,4,5] => [7,2,1,5,6,4,3] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[1,6,7,3,2,5,4] => [7,2,1,5,6,3,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,6,7,3,4,2,5] => [7,2,1,5,4,6,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[1,6,7,3,4,5,2] => [7,2,1,5,4,3,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[1,6,7,3,5,2,4] => [7,2,1,5,3,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,6,7,3,5,4,2] => [7,2,1,5,3,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,6,7,4,2,3,5] => [7,2,1,4,6,5,3] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[1,6,7,4,2,5,3] => [7,2,1,4,6,3,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,6,7,4,3,2,5] => [7,2,1,4,5,6,3] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[1,6,7,4,3,5,2] => [7,2,1,4,5,3,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[1,6,7,4,5,2,3] => [7,2,1,4,3,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[1,6,7,4,5,3,2] => [7,2,1,4,3,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[1,6,7,5,2,3,4] => [7,2,1,3,6,5,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[1,6,7,5,2,4,3] => [7,2,1,3,6,4,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[1,6,7,5,3,2,4] => [7,2,1,3,5,6,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[1,6,7,5,3,4,2] => [7,2,1,3,5,4,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[1,6,7,5,4,2,3] => [7,2,1,3,4,6,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[1,6,7,5,4,3,2] => [7,2,1,3,4,5,6] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[1,7,2,3,4,5,6] => [7,1,6,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => 5
[1,7,2,3,4,6,5] => [7,1,6,5,4,2,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[1,7,2,3,5,4,6] => [7,1,6,5,3,4,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[1,7,2,3,5,6,4] => [7,1,6,5,3,2,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[1,7,2,3,6,4,5] => [7,1,6,5,2,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[1,7,2,3,6,5,4] => [7,1,6,5,2,3,4] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[1,7,2,4,3,5,6] => [7,1,6,4,5,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 8
[1,7,2,4,3,6,5] => [7,1,6,4,5,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[1,7,2,4,5,3,6] => [7,1,6,4,3,5,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[1,7,2,4,5,6,3] => [7,1,6,4,3,2,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[1,7,2,4,6,3,5] => [7,1,6,4,2,5,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[1,7,2,4,6,5,3] => [7,1,6,4,2,3,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[1,7,2,5,3,4,6] => [7,1,6,3,5,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[1,7,2,5,3,6,4] => [7,1,6,3,5,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[1,7,2,5,4,3,6] => [7,1,6,3,4,5,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[1,7,2,5,4,6,3] => [7,1,6,3,4,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[1,7,2,5,6,3,4] => [7,1,6,3,2,5,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[1,7,2,5,6,4,3] => [7,1,6,3,2,4,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[1,7,2,6,3,4,5] => [7,1,6,2,5,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[1,7,2,6,3,5,4] => [7,1,6,2,5,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[1,7,2,6,4,3,5] => [7,1,6,2,4,5,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[1,7,2,6,4,5,3] => [7,1,6,2,4,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[1,7,2,6,5,3,4] => [7,1,6,2,3,5,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[1,7,2,6,5,4,3] => [7,1,6,2,3,4,5] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[1,7,3,2,4,5,6] => [7,1,5,6,4,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => 9
[1,7,3,2,4,6,5] => [7,1,5,6,4,2,3] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[1,7,3,2,5,4,6] => [7,1,5,6,3,4,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[1,7,3,2,5,6,4] => [7,1,5,6,3,2,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[1,7,3,2,6,4,5] => [7,1,5,6,2,4,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[1,7,3,2,6,5,4] => [7,1,5,6,2,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[1,7,3,4,2,5,6] => [7,1,5,4,6,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 8
[1,7,3,4,2,6,5] => [7,1,5,4,6,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[1,7,3,4,5,2,6] => [7,1,5,4,3,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[1,7,3,4,5,6,2] => [7,1,5,4,3,2,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[1,7,3,4,6,2,5] => [7,1,5,4,2,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[1,7,3,4,6,5,2] => [7,1,5,4,2,3,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[1,7,3,5,2,4,6] => [7,1,5,3,6,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[1,7,3,5,2,6,4] => [7,1,5,3,6,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[1,7,3,5,4,2,6] => [7,1,5,3,4,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[1,7,3,5,4,6,2] => [7,1,5,3,4,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[1,7,3,5,6,2,4] => [7,1,5,3,2,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[1,7,3,5,6,4,2] => [7,1,5,3,2,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[1,7,3,6,2,4,5] => [7,1,5,2,6,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[1,7,3,6,2,5,4] => [7,1,5,2,6,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[1,7,3,6,4,2,5] => [7,1,5,2,4,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[1,7,3,6,4,5,2] => [7,1,5,2,4,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[1,7,3,6,5,2,4] => [7,1,5,2,3,6,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[1,7,3,6,5,4,2] => [7,1,5,2,3,4,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[1,7,4,2,3,5,6] => [7,1,4,6,5,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => 9
[1,7,4,2,3,6,5] => [7,1,4,6,5,2,3] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[1,7,4,2,5,3,6] => [7,1,4,6,3,5,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[1,7,4,2,5,6,3] => [7,1,4,6,3,2,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[1,7,4,2,6,3,5] => [7,1,4,6,2,5,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[1,7,4,2,6,5,3] => [7,1,4,6,2,3,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[1,7,4,3,5,2,6] => [7,1,4,5,3,6,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[1,7,4,3,5,6,2] => [7,1,4,5,3,2,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[1,7,4,3,6,2,5] => [7,1,4,5,2,6,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[1,7,4,3,6,5,2] => [7,1,4,5,2,3,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[1,7,4,5,2,3,6] => [7,1,4,3,6,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[1,7,4,5,2,6,3] => [7,1,4,3,6,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[1,7,4,5,3,2,6] => [7,1,4,3,5,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[1,7,4,5,3,6,2] => [7,1,4,3,5,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[1,7,4,5,6,2,3] => [7,1,4,3,2,6,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[1,7,4,5,6,3,2] => [7,1,4,3,2,5,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[1,7,4,6,2,3,5] => [7,1,4,2,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[1,7,4,6,2,5,3] => [7,1,4,2,6,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[1,7,4,6,3,2,5] => [7,1,4,2,5,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[1,7,4,6,3,5,2] => [7,1,4,2,5,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[1,7,4,6,5,2,3] => [7,1,4,2,3,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[1,7,4,6,5,3,2] => [7,1,4,2,3,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[1,7,5,2,3,4,6] => [7,1,3,6,5,4,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => 9
[1,7,5,2,3,6,4] => [7,1,3,6,5,2,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[1,7,5,2,4,3,6] => [7,1,3,6,4,5,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 11
[1,7,5,2,4,6,3] => [7,1,3,6,4,2,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[1,7,5,2,6,3,4] => [7,1,3,6,2,5,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[1,7,5,2,6,4,3] => [7,1,3,6,2,4,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[1,7,5,3,4,2,6] => [7,1,3,5,4,6,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 11
[1,7,5,3,4,6,2] => [7,1,3,5,4,2,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[1,7,5,3,6,2,4] => [7,1,3,5,2,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[1,7,5,3,6,4,2] => [7,1,3,5,2,4,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[1,7,5,4,6,2,3] => [7,1,3,4,2,6,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[1,7,5,4,6,3,2] => [7,1,3,4,2,5,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[1,7,5,6,2,3,4] => [7,1,3,2,6,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[1,7,5,6,2,4,3] => [7,1,3,2,6,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[1,7,5,6,3,2,4] => [7,1,3,2,5,6,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[1,7,5,6,3,4,2] => [7,1,3,2,5,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[1,7,5,6,4,2,3] => [7,1,3,2,4,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[1,7,5,6,4,3,2] => [7,1,3,2,4,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[1,7,6,2,3,4,5] => [7,1,2,6,5,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => 9
[1,7,6,2,3,5,4] => [7,1,2,6,5,3,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[1,7,6,2,4,5,3] => [7,1,2,6,4,3,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[1,7,6,3,4,5,2] => [7,1,2,5,4,3,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[2,3,1,4,5,6,7] => [6,5,7,4,3,2,1] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => 5
[2,3,1,4,5,7,6] => [6,5,7,4,3,1,2] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 6
[2,3,1,4,6,5,7] => [6,5,7,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 7
[2,3,1,4,6,7,5] => [6,5,7,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 6
[2,3,1,4,7,5,6] => [6,5,7,4,1,3,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[2,3,1,4,7,6,5] => [6,5,7,4,1,2,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[2,3,1,5,4,6,7] => [6,5,7,3,4,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 8
[2,3,1,5,4,7,6] => [6,5,7,3,4,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,3,1,5,6,4,7] => [6,5,7,3,2,4,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 7
[2,3,1,5,6,7,4] => [6,5,7,3,2,1,4] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 6
[2,3,1,5,7,4,6] => [6,5,7,3,1,4,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[2,3,1,5,7,6,4] => [6,5,7,3,1,2,4] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[2,3,1,6,4,5,7] => [6,5,7,2,4,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[2,3,1,6,4,7,5] => [6,5,7,2,4,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,3,1,6,5,4,7] => [6,5,7,2,3,4,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[2,3,1,6,5,7,4] => [6,5,7,2,3,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,3,1,6,7,4,5] => [6,5,7,2,1,4,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[2,3,1,6,7,5,4] => [6,5,7,2,1,3,4] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[2,3,1,7,4,5,6] => [6,5,7,1,4,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[2,3,1,7,4,6,5] => [6,5,7,1,4,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,3,1,7,5,4,6] => [6,5,7,1,3,4,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[2,3,1,7,5,6,4] => [6,5,7,1,3,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,3,1,7,6,4,5] => [6,5,7,1,2,4,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[2,3,1,7,6,5,4] => [6,5,7,1,2,3,4] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[2,3,4,1,5,6,7] => [6,5,4,7,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => 4
[2,3,4,1,5,7,6] => [6,5,4,7,3,1,2] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[2,3,4,1,6,5,7] => [6,5,4,7,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[2,3,4,1,6,7,5] => [6,5,4,7,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[2,3,4,1,7,5,6] => [6,5,4,7,1,3,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,3,4,1,7,6,5] => [6,5,4,7,1,2,3] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,3,4,5,1,6,7] => [6,5,4,3,7,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => 3
[2,3,4,5,1,7,6] => [6,5,4,3,7,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[2,3,4,5,6,1,7] => [6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => 2
[2,3,4,5,6,7,1] => [6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => 1
[2,3,4,5,7,1,6] => [6,5,4,3,1,7,2] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[2,3,4,5,7,6,1] => [6,5,4,3,1,2,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[2,3,4,6,1,5,7] => [6,5,4,2,7,3,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 3
[2,3,4,6,1,7,5] => [6,5,4,2,7,1,3] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[2,3,4,6,5,1,7] => [6,5,4,2,3,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 5
[2,3,4,6,5,7,1] => [6,5,4,2,3,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[2,3,4,6,7,1,5] => [6,5,4,2,1,7,3] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[2,3,4,6,7,5,1] => [6,5,4,2,1,3,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[2,3,4,7,1,5,6] => [6,5,4,1,7,3,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[2,3,4,7,1,6,5] => [6,5,4,1,7,2,3] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[2,3,4,7,5,1,6] => [6,5,4,1,3,7,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[2,3,4,7,5,6,1] => [6,5,4,1,3,2,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[2,3,4,7,6,1,5] => [6,5,4,1,2,7,3] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[2,3,4,7,6,5,1] => [6,5,4,1,2,3,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[2,3,5,1,4,6,7] => [6,5,3,7,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => 4
[2,3,5,1,4,7,6] => [6,5,3,7,4,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[2,3,5,1,6,4,7] => [6,5,3,7,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[2,3,5,1,6,7,4] => [6,5,3,7,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[2,3,5,1,7,4,6] => [6,5,3,7,1,4,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,3,5,1,7,6,4] => [6,5,3,7,1,2,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,3,5,4,1,6,7] => [6,5,3,4,7,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => 7
[2,3,5,4,1,7,6] => [6,5,3,4,7,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[2,3,5,4,6,1,7] => [6,5,3,4,2,7,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[2,3,5,4,6,7,1] => [6,5,3,4,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[2,3,5,4,7,1,6] => [6,5,3,4,1,7,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,3,5,4,7,6,1] => [6,5,3,4,1,2,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,3,5,6,1,4,7] => [6,5,3,2,7,4,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 3
[2,3,5,6,1,7,4] => [6,5,3,2,7,1,4] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[2,3,5,6,4,1,7] => [6,5,3,2,4,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 5
[2,3,5,6,4,7,1] => [6,5,3,2,4,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[2,3,5,6,7,1,4] => [6,5,3,2,1,7,4] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[2,3,5,6,7,4,1] => [6,5,3,2,1,4,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[2,3,5,7,1,4,6] => [6,5,3,1,7,4,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[2,3,5,7,1,6,4] => [6,5,3,1,7,2,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[2,3,5,7,4,1,6] => [6,5,3,1,4,7,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[2,3,5,7,4,6,1] => [6,5,3,1,4,2,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[2,3,5,7,6,1,4] => [6,5,3,1,2,7,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[2,3,5,7,6,4,1] => [6,5,3,1,2,4,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[2,3,6,1,4,5,7] => [6,5,2,7,4,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 4
[2,3,6,1,4,7,5] => [6,5,2,7,4,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[2,3,6,1,5,4,7] => [6,5,2,7,3,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[2,3,6,1,5,7,4] => [6,5,2,7,3,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[2,3,6,1,7,4,5] => [6,5,2,7,1,4,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,3,6,1,7,5,4] => [6,5,2,7,1,3,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,3,6,4,1,5,7] => [6,5,2,4,7,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 7
[2,3,6,4,1,7,5] => [6,5,2,4,7,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[2,3,6,4,5,1,7] => [6,5,2,4,3,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[2,3,6,4,5,7,1] => [6,5,2,4,3,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[2,3,6,4,7,1,5] => [6,5,2,4,1,7,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,3,6,4,7,5,1] => [6,5,2,4,1,3,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,3,6,5,1,4,7] => [6,5,2,3,7,4,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 7
[2,3,6,5,1,7,4] => [6,5,2,3,7,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[2,3,6,5,4,1,7] => [6,5,2,3,4,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 9
[2,3,6,5,4,7,1] => [6,5,2,3,4,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[2,3,6,5,7,1,4] => [6,5,2,3,1,7,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,3,6,5,7,4,1] => [6,5,2,3,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,3,6,7,1,4,5] => [6,5,2,1,7,4,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[2,3,6,7,1,5,4] => [6,5,2,1,7,3,4] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[2,3,6,7,4,1,5] => [6,5,2,1,4,7,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[2,3,6,7,4,5,1] => [6,5,2,1,4,3,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[2,3,6,7,5,1,4] => [6,5,2,1,3,7,4] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[2,3,6,7,5,4,1] => [6,5,2,1,3,4,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[2,3,7,1,4,5,6] => [6,5,1,7,4,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[2,3,7,1,4,6,5] => [6,5,1,7,4,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[2,3,7,1,5,4,6] => [6,5,1,7,3,4,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[2,3,7,1,5,6,4] => [6,5,1,7,3,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[2,3,7,1,6,4,5] => [6,5,1,7,2,4,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[2,3,7,1,6,5,4] => [6,5,1,7,2,3,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[2,3,7,4,1,5,6] => [6,5,1,4,7,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[2,3,7,4,1,6,5] => [6,5,1,4,7,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[2,3,7,4,5,1,6] => [6,5,1,4,3,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[2,3,7,4,5,6,1] => [6,5,1,4,3,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[2,3,7,4,6,1,5] => [6,5,1,4,2,7,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[2,3,7,4,6,5,1] => [6,5,1,4,2,3,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[2,3,7,5,1,4,6] => [6,5,1,3,7,4,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[2,3,7,5,1,6,4] => [6,5,1,3,7,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[2,3,7,5,4,1,6] => [6,5,1,3,4,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[2,3,7,5,4,6,1] => [6,5,1,3,4,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[2,3,7,5,6,1,4] => [6,5,1,3,2,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[2,3,7,5,6,4,1] => [6,5,1,3,2,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[2,3,7,6,1,4,5] => [6,5,1,2,7,4,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[2,3,7,6,1,5,4] => [6,5,1,2,7,3,4] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[2,3,7,6,4,1,5] => [6,5,1,2,4,7,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[2,3,7,6,4,5,1] => [6,5,1,2,4,3,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[2,3,7,6,5,1,4] => [6,5,1,2,3,7,4] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[2,3,7,6,5,4,1] => [6,5,1,2,3,4,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[2,4,1,3,5,6,7] => [6,4,7,5,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => 5
[2,4,1,3,5,7,6] => [6,4,7,5,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[2,4,1,3,6,5,7] => [6,4,7,5,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[2,4,1,3,6,7,5] => [6,4,7,5,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[2,4,1,3,7,5,6] => [6,4,7,5,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[2,4,1,3,7,6,5] => [6,4,7,5,1,2,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[2,4,1,5,3,6,7] => [6,4,7,3,5,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 8
[2,4,1,5,3,7,6] => [6,4,7,3,5,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,4,1,5,6,3,7] => [6,4,7,3,2,5,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 7
[2,4,1,5,6,7,3] => [6,4,7,3,2,1,5] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 6
[2,4,1,5,7,3,6] => [6,4,7,3,1,5,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[2,4,1,5,7,6,3] => [6,4,7,3,1,2,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[2,4,1,6,3,5,7] => [6,4,7,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[2,4,1,6,3,7,5] => [6,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,4,1,6,5,3,7] => [6,4,7,2,3,5,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[2,4,1,6,5,7,3] => [6,4,7,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,4,1,6,7,3,5] => [6,4,7,2,1,5,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[2,4,1,6,7,5,3] => [6,4,7,2,1,3,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[2,4,1,7,3,5,6] => [6,4,7,1,5,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[2,4,1,7,3,6,5] => [6,4,7,1,5,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,4,1,7,5,3,6] => [6,4,7,1,3,5,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[2,4,1,7,5,6,3] => [6,4,7,1,3,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,4,1,7,6,3,5] => [6,4,7,1,2,5,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[2,4,1,7,6,5,3] => [6,4,7,1,2,3,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[2,4,3,1,5,6,7] => [6,4,5,7,3,2,1] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => 9
[2,4,3,1,5,7,6] => [6,4,5,7,3,1,2] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[2,4,3,1,6,5,7] => [6,4,5,7,2,3,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[2,4,3,1,6,7,5] => [6,4,5,7,2,1,3] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[2,4,3,1,7,5,6] => [6,4,5,7,1,3,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[2,4,3,1,7,6,5] => [6,4,5,7,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[2,4,3,5,1,6,7] => [6,4,5,3,7,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 8
[2,4,3,5,1,7,6] => [6,4,5,3,7,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,4,3,5,6,1,7] => [6,4,5,3,2,7,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 7
[2,4,3,5,6,7,1] => [6,4,5,3,2,1,7] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 6
[2,4,3,5,7,1,6] => [6,4,5,3,1,7,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[2,4,3,5,7,6,1] => [6,4,5,3,1,2,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[2,4,3,6,1,5,7] => [6,4,5,2,7,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[2,4,3,6,1,7,5] => [6,4,5,2,7,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,4,3,6,5,1,7] => [6,4,5,2,3,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[2,4,3,6,5,7,1] => [6,4,5,2,3,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,4,3,6,7,1,5] => [6,4,5,2,1,7,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[2,4,3,6,7,5,1] => [6,4,5,2,1,3,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[2,4,3,7,1,5,6] => [6,4,5,1,7,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[2,4,3,7,1,6,5] => [6,4,5,1,7,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,4,3,7,5,1,6] => [6,4,5,1,3,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[2,4,3,7,5,6,1] => [6,4,5,1,3,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,4,3,7,6,1,5] => [6,4,5,1,2,7,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[2,4,3,7,6,5,1] => [6,4,5,1,2,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[2,4,5,1,3,6,7] => [6,4,3,7,5,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => 4
[2,4,5,1,3,7,6] => [6,4,3,7,5,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[2,4,5,1,6,3,7] => [6,4,3,7,2,5,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[2,4,5,1,6,7,3] => [6,4,3,7,2,1,5] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[2,4,5,1,7,3,6] => [6,4,3,7,1,5,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,4,5,1,7,6,3] => [6,4,3,7,1,2,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,4,5,3,1,6,7] => [6,4,3,5,7,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => 7
[2,4,5,3,1,7,6] => [6,4,3,5,7,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[2,4,5,3,6,1,7] => [6,4,3,5,2,7,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[2,4,5,3,6,7,1] => [6,4,3,5,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[2,4,5,3,7,1,6] => [6,4,3,5,1,7,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,4,5,3,7,6,1] => [6,4,3,5,1,2,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,4,5,6,1,3,7] => [6,4,3,2,7,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 3
[2,4,5,6,1,7,3] => [6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[2,4,5,6,3,1,7] => [6,4,3,2,5,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 5
[2,4,5,6,3,7,1] => [6,4,3,2,5,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[2,4,5,6,7,1,3] => [6,4,3,2,1,7,5] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[2,4,5,6,7,3,1] => [6,4,3,2,1,5,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[2,4,5,7,1,3,6] => [6,4,3,1,7,5,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[2,4,5,7,1,6,3] => [6,4,3,1,7,2,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[2,4,5,7,3,1,6] => [6,4,3,1,5,7,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[2,4,5,7,3,6,1] => [6,4,3,1,5,2,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[2,4,5,7,6,1,3] => [6,4,3,1,2,7,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[2,4,5,7,6,3,1] => [6,4,3,1,2,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[2,4,6,1,3,5,7] => [6,4,2,7,5,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 4
[2,4,6,1,3,7,5] => [6,4,2,7,5,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[2,4,6,1,5,3,7] => [6,4,2,7,3,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[2,4,6,1,5,7,3] => [6,4,2,7,3,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[2,4,6,1,7,3,5] => [6,4,2,7,1,5,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,4,6,1,7,5,3] => [6,4,2,7,1,3,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,4,6,3,1,5,7] => [6,4,2,5,7,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 7
[2,4,6,3,1,7,5] => [6,4,2,5,7,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[2,4,6,3,5,1,7] => [6,4,2,5,3,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[2,4,6,3,5,7,1] => [6,4,2,5,3,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[2,4,6,3,7,1,5] => [6,4,2,5,1,7,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,4,6,3,7,5,1] => [6,4,2,5,1,3,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,4,6,5,1,3,7] => [6,4,2,3,7,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 7
[2,4,6,5,1,7,3] => [6,4,2,3,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[2,4,6,5,3,1,7] => [6,4,2,3,5,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 9
[2,4,6,5,3,7,1] => [6,4,2,3,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[2,4,6,5,7,1,3] => [6,4,2,3,1,7,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,4,6,5,7,3,1] => [6,4,2,3,1,5,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,4,6,7,1,3,5] => [6,4,2,1,7,5,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[2,4,6,7,1,5,3] => [6,4,2,1,7,3,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[2,4,6,7,3,1,5] => [6,4,2,1,5,7,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[2,4,6,7,3,5,1] => [6,4,2,1,5,3,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[2,4,6,7,5,1,3] => [6,4,2,1,3,7,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[2,4,6,7,5,3,1] => [6,4,2,1,3,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[2,4,7,1,3,5,6] => [6,4,1,7,5,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[2,4,7,1,3,6,5] => [6,4,1,7,5,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[2,4,7,1,5,3,6] => [6,4,1,7,3,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[2,4,7,1,5,6,3] => [6,4,1,7,3,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[2,4,7,1,6,3,5] => [6,4,1,7,2,5,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[2,4,7,1,6,5,3] => [6,4,1,7,2,3,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[2,4,7,3,1,5,6] => [6,4,1,5,7,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[2,4,7,3,1,6,5] => [6,4,1,5,7,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[2,4,7,3,5,1,6] => [6,4,1,5,3,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[2,4,7,3,5,6,1] => [6,4,1,5,3,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[2,4,7,3,6,1,5] => [6,4,1,5,2,7,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[2,4,7,3,6,5,1] => [6,4,1,5,2,3,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[2,4,7,5,1,3,6] => [6,4,1,3,7,5,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[2,4,7,5,1,6,3] => [6,4,1,3,7,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[2,4,7,5,3,1,6] => [6,4,1,3,5,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[2,4,7,5,3,6,1] => [6,4,1,3,5,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[2,4,7,5,6,1,3] => [6,4,1,3,2,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[2,4,7,5,6,3,1] => [6,4,1,3,2,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[2,4,7,6,1,3,5] => [6,4,1,2,7,5,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[2,4,7,6,1,5,3] => [6,4,1,2,7,3,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[2,4,7,6,3,1,5] => [6,4,1,2,5,7,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[2,4,7,6,3,5,1] => [6,4,1,2,5,3,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[2,4,7,6,5,1,3] => [6,4,1,2,3,7,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[2,4,7,6,5,3,1] => [6,4,1,2,3,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[2,5,1,3,4,6,7] => [6,3,7,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => 5
[2,5,1,3,4,7,6] => [6,3,7,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[2,5,1,3,6,4,7] => [6,3,7,5,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[2,5,1,3,6,7,4] => [6,3,7,5,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[2,5,1,3,7,4,6] => [6,3,7,5,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[2,5,1,3,7,6,4] => [6,3,7,5,1,2,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[2,5,1,4,3,6,7] => [6,3,7,4,5,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => 8
[2,5,1,4,3,7,6] => [6,3,7,4,5,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[2,5,1,4,6,3,7] => [6,3,7,4,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[2,5,1,4,6,7,3] => [6,3,7,4,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[2,5,1,4,7,3,6] => [6,3,7,4,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[2,5,1,4,7,6,3] => [6,3,7,4,1,2,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[2,5,1,6,3,4,7] => [6,3,7,2,5,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[2,5,1,6,3,7,4] => [6,3,7,2,5,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,5,1,6,4,3,7] => [6,3,7,2,4,5,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[2,5,1,6,4,7,3] => [6,3,7,2,4,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,5,1,6,7,3,4] => [6,3,7,2,1,5,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[2,5,1,6,7,4,3] => [6,3,7,2,1,4,5] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[2,5,1,7,3,4,6] => [6,3,7,1,5,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[2,5,1,7,3,6,4] => [6,3,7,1,5,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,5,1,7,4,3,6] => [6,3,7,1,4,5,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[2,5,1,7,4,6,3] => [6,3,7,1,4,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,5,1,7,6,3,4] => [6,3,7,1,2,5,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[2,5,1,7,6,4,3] => [6,3,7,1,2,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[2,5,3,1,4,6,7] => [6,3,5,7,4,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => 9
[2,5,3,1,4,7,6] => [6,3,5,7,4,1,2] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[2,5,3,1,6,4,7] => [6,3,5,7,2,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[2,5,3,1,6,7,4] => [6,3,5,7,2,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[2,5,3,1,7,4,6] => [6,3,5,7,1,4,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[2,5,3,1,7,6,4] => [6,3,5,7,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[2,5,3,4,1,6,7] => [6,3,5,4,7,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => 8
[2,5,3,4,1,7,6] => [6,3,5,4,7,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[2,5,3,4,6,1,7] => [6,3,5,4,2,7,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[2,5,3,4,6,7,1] => [6,3,5,4,2,1,7] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[2,5,3,4,7,1,6] => [6,3,5,4,1,7,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[2,5,3,4,7,6,1] => [6,3,5,4,1,2,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[2,5,3,6,1,4,7] => [6,3,5,2,7,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[2,5,3,6,1,7,4] => [6,3,5,2,7,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,5,3,6,4,1,7] => [6,3,5,2,4,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[2,5,3,6,4,7,1] => [6,3,5,2,4,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,5,3,6,7,1,4] => [6,3,5,2,1,7,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[2,5,3,6,7,4,1] => [6,3,5,2,1,4,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[2,5,3,7,1,4,6] => [6,3,5,1,7,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[2,5,3,7,1,6,4] => [6,3,5,1,7,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,5,3,7,4,1,6] => [6,3,5,1,4,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[2,5,3,7,4,6,1] => [6,3,5,1,4,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,5,3,7,6,1,4] => [6,3,5,1,2,7,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[2,5,3,7,6,4,1] => [6,3,5,1,2,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[2,5,4,1,3,6,7] => [6,3,4,7,5,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => 9
[2,5,4,1,3,7,6] => [6,3,4,7,5,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[2,5,4,1,6,3,7] => [6,3,4,7,2,5,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[2,5,4,1,6,7,3] => [6,3,4,7,2,1,5] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[2,5,4,1,7,3,6] => [6,3,4,7,1,5,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[2,5,4,1,7,6,3] => [6,3,4,7,1,2,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[2,5,4,3,6,1,7] => [6,3,4,5,2,7,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[2,5,4,3,6,7,1] => [6,3,4,5,2,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[2,5,4,3,7,1,6] => [6,3,4,5,1,7,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[2,5,4,3,7,6,1] => [6,3,4,5,1,2,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[2,5,4,6,1,3,7] => [6,3,4,2,7,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[2,5,4,6,1,7,3] => [6,3,4,2,7,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,5,4,6,3,1,7] => [6,3,4,2,5,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[2,5,4,6,3,7,1] => [6,3,4,2,5,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[2,5,4,6,7,1,3] => [6,3,4,2,1,7,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[2,5,4,6,7,3,1] => [6,3,4,2,1,5,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[2,5,4,7,1,3,6] => [6,3,4,1,7,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[2,5,4,7,1,6,3] => [6,3,4,1,7,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,5,4,7,3,1,6] => [6,3,4,1,5,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[2,5,4,7,3,6,1] => [6,3,4,1,5,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,5,4,7,6,1,3] => [6,3,4,1,2,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[2,5,4,7,6,3,1] => [6,3,4,1,2,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[2,5,6,1,3,4,7] => [6,3,2,7,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 4
[2,5,6,1,3,7,4] => [6,3,2,7,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[2,5,6,1,4,3,7] => [6,3,2,7,4,5,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[2,5,6,1,4,7,3] => [6,3,2,7,4,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[2,5,6,1,7,3,4] => [6,3,2,7,1,5,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,5,6,1,7,4,3] => [6,3,2,7,1,4,5] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,5,6,3,1,4,7] => [6,3,2,5,7,4,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 7
[2,5,6,3,1,7,4] => [6,3,2,5,7,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[2,5,6,3,4,1,7] => [6,3,2,5,4,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[2,5,6,3,4,7,1] => [6,3,2,5,4,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[2,5,6,3,7,1,4] => [6,3,2,5,1,7,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,5,6,3,7,4,1] => [6,3,2,5,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,5,6,4,1,3,7] => [6,3,2,4,7,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 7
[2,5,6,4,1,7,3] => [6,3,2,4,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[2,5,6,4,3,1,7] => [6,3,2,4,5,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 9
[2,5,6,4,3,7,1] => [6,3,2,4,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[2,5,6,4,7,1,3] => [6,3,2,4,1,7,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[2,5,6,4,7,3,1] => [6,3,2,4,1,5,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[2,5,6,7,1,3,4] => [6,3,2,1,7,5,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[2,5,6,7,1,4,3] => [6,3,2,1,7,4,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[2,5,6,7,3,1,4] => [6,3,2,1,5,7,4] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[2,5,6,7,3,4,1] => [6,3,2,1,5,4,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[2,5,6,7,4,1,3] => [6,3,2,1,4,7,5] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[2,5,6,7,4,3,1] => [6,3,2,1,4,5,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[2,5,7,1,3,4,6] => [6,3,1,7,5,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[2,5,7,1,3,6,4] => [6,3,1,7,5,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[2,5,7,1,4,3,6] => [6,3,1,7,4,5,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[2,5,7,1,4,6,3] => [6,3,1,7,4,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[2,5,7,1,6,3,4] => [6,3,1,7,2,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[2,5,7,1,6,4,3] => [6,3,1,7,2,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[2,5,7,3,1,4,6] => [6,3,1,5,7,4,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[2,5,7,3,1,6,4] => [6,3,1,5,7,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[2,5,7,3,4,1,6] => [6,3,1,5,4,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[2,5,7,3,4,6,1] => [6,3,1,5,4,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[2,5,7,3,6,1,4] => [6,3,1,5,2,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[2,5,7,3,6,4,1] => [6,3,1,5,2,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[2,5,7,4,1,3,6] => [6,3,1,4,7,5,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[2,5,7,4,1,6,3] => [6,3,1,4,7,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[2,5,7,4,3,1,6] => [6,3,1,4,5,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[2,5,7,4,3,6,1] => [6,3,1,4,5,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[2,5,7,4,6,1,3] => [6,3,1,4,2,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[2,5,7,4,6,3,1] => [6,3,1,4,2,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[2,5,7,6,1,3,4] => [6,3,1,2,7,5,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[2,5,7,6,1,4,3] => [6,3,1,2,7,4,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[2,5,7,6,3,1,4] => [6,3,1,2,5,7,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[2,5,7,6,3,4,1] => [6,3,1,2,5,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[2,5,7,6,4,1,3] => [6,3,1,2,4,7,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[2,5,7,6,4,3,1] => [6,3,1,2,4,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[2,6,1,3,4,5,7] => [6,2,7,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => 5
[2,6,1,3,4,7,5] => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[2,6,1,3,5,4,7] => [6,2,7,5,3,4,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[2,6,1,3,5,7,4] => [6,2,7,5,3,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[2,6,1,3,7,4,5] => [6,2,7,5,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[2,6,1,3,7,5,4] => [6,2,7,5,1,3,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[2,6,1,4,3,5,7] => [6,2,7,4,5,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 8
[2,6,1,4,3,7,5] => [6,2,7,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[2,6,1,4,5,3,7] => [6,2,7,4,3,5,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[2,6,1,4,5,7,3] => [6,2,7,4,3,1,5] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[2,6,1,4,7,3,5] => [6,2,7,4,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[2,6,1,4,7,5,3] => [6,2,7,4,1,3,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[2,6,1,5,3,4,7] => [6,2,7,3,5,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[2,6,1,5,3,7,4] => [6,2,7,3,5,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[2,6,1,5,4,3,7] => [6,2,7,3,4,5,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[2,6,1,5,4,7,3] => [6,2,7,3,4,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[2,6,1,5,7,3,4] => [6,2,7,3,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[2,6,1,5,7,4,3] => [6,2,7,3,1,4,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[2,6,1,7,3,4,5] => [6,2,7,1,5,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[2,6,1,7,3,5,4] => [6,2,7,1,5,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,6,1,7,4,3,5] => [6,2,7,1,4,5,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[2,6,1,7,4,5,3] => [6,2,7,1,4,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,6,1,7,5,3,4] => [6,2,7,1,3,5,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[2,6,1,7,5,4,3] => [6,2,7,1,3,4,5] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[2,6,3,1,4,5,7] => [6,2,5,7,4,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => 9
[2,6,3,1,4,7,5] => [6,2,5,7,4,1,3] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[2,6,3,1,5,4,7] => [6,2,5,7,3,4,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[2,6,3,1,5,7,4] => [6,2,5,7,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[2,6,3,1,7,4,5] => [6,2,5,7,1,4,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[2,6,3,1,7,5,4] => [6,2,5,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[2,6,3,4,1,5,7] => [6,2,5,4,7,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 8
[2,6,3,4,1,7,5] => [6,2,5,4,7,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[2,6,3,4,5,1,7] => [6,2,5,4,3,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[2,6,3,4,5,7,1] => [6,2,5,4,3,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[2,6,3,4,7,1,5] => [6,2,5,4,1,7,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[2,6,3,4,7,5,1] => [6,2,5,4,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[2,6,3,5,1,4,7] => [6,2,5,3,7,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[2,6,3,5,1,7,4] => [6,2,5,3,7,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[2,6,3,5,4,1,7] => [6,2,5,3,4,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[2,6,3,5,4,7,1] => [6,2,5,3,4,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[2,6,3,5,7,1,4] => [6,2,5,3,1,7,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[2,6,3,5,7,4,1] => [6,2,5,3,1,4,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[2,6,3,7,1,4,5] => [6,2,5,1,7,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[2,6,3,7,1,5,4] => [6,2,5,1,7,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,6,3,7,4,1,5] => [6,2,5,1,4,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[2,6,3,7,4,5,1] => [6,2,5,1,4,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,6,3,7,5,1,4] => [6,2,5,1,3,7,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[2,6,3,7,5,4,1] => [6,2,5,1,3,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[2,6,4,1,3,5,7] => [6,2,4,7,5,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => 9
[2,6,4,1,3,7,5] => [6,2,4,7,5,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[2,6,4,1,5,3,7] => [6,2,4,7,3,5,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[2,6,4,1,5,7,3] => [6,2,4,7,3,1,5] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[2,6,4,1,7,3,5] => [6,2,4,7,1,5,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[2,6,4,1,7,5,3] => [6,2,4,7,1,3,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[2,6,4,3,5,1,7] => [6,2,4,5,3,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[2,6,4,3,5,7,1] => [6,2,4,5,3,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[2,6,4,3,7,1,5] => [6,2,4,5,1,7,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[2,6,4,3,7,5,1] => [6,2,4,5,1,3,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[2,6,4,5,1,3,7] => [6,2,4,3,7,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[2,6,4,5,1,7,3] => [6,2,4,3,7,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[2,6,4,5,3,1,7] => [6,2,4,3,5,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[2,6,4,5,3,7,1] => [6,2,4,3,5,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[2,6,4,5,7,1,3] => [6,2,4,3,1,7,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[2,6,4,5,7,3,1] => [6,2,4,3,1,5,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[2,6,4,7,1,3,5] => [6,2,4,1,7,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[2,6,4,7,1,5,3] => [6,2,4,1,7,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,6,4,7,3,1,5] => [6,2,4,1,5,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[2,6,4,7,3,5,1] => [6,2,4,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,6,4,7,5,1,3] => [6,2,4,1,3,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[2,6,4,7,5,3,1] => [6,2,4,1,3,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[2,6,5,1,3,4,7] => [6,2,3,7,5,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => 9
[2,6,5,1,3,7,4] => [6,2,3,7,5,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[2,6,5,1,4,3,7] => [6,2,3,7,4,5,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 11
[2,6,5,1,4,7,3] => [6,2,3,7,4,1,5] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[2,6,5,1,7,3,4] => [6,2,3,7,1,5,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[2,6,5,1,7,4,3] => [6,2,3,7,1,4,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[2,6,5,3,4,1,7] => [6,2,3,5,4,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 11
[2,6,5,3,4,7,1] => [6,2,3,5,4,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[2,6,5,3,7,1,4] => [6,2,3,5,1,7,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[2,6,5,3,7,4,1] => [6,2,3,5,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[2,6,5,4,7,1,3] => [6,2,3,4,1,7,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[2,6,5,4,7,3,1] => [6,2,3,4,1,5,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[2,6,5,7,1,3,4] => [6,2,3,1,7,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[2,6,5,7,1,4,3] => [6,2,3,1,7,4,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,6,5,7,3,1,4] => [6,2,3,1,5,7,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[2,6,5,7,3,4,1] => [6,2,3,1,5,4,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[2,6,5,7,4,1,3] => [6,2,3,1,4,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[2,6,5,7,4,3,1] => [6,2,3,1,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[2,6,7,1,3,4,5] => [6,2,1,7,5,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[2,6,7,1,3,5,4] => [6,2,1,7,5,3,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[2,6,7,1,4,3,5] => [6,2,1,7,4,5,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[2,6,7,1,4,5,3] => [6,2,1,7,4,3,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[2,6,7,1,5,3,4] => [6,2,1,7,3,5,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[2,6,7,1,5,4,3] => [6,2,1,7,3,4,5] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[2,6,7,3,1,4,5] => [6,2,1,5,7,4,3] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[2,6,7,3,1,5,4] => [6,2,1,5,7,3,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[2,6,7,3,4,1,5] => [6,2,1,5,4,7,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[2,6,7,3,4,5,1] => [6,2,1,5,4,3,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[2,6,7,3,5,1,4] => [6,2,1,5,3,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[2,6,7,3,5,4,1] => [6,2,1,5,3,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[2,6,7,4,1,3,5] => [6,2,1,4,7,5,3] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[2,6,7,4,1,5,3] => [6,2,1,4,7,3,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[2,6,7,4,3,1,5] => [6,2,1,4,5,7,3] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[2,6,7,4,3,5,1] => [6,2,1,4,5,3,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[2,6,7,4,5,1,3] => [6,2,1,4,3,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[2,6,7,4,5,3,1] => [6,2,1,4,3,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[2,6,7,5,1,3,4] => [6,2,1,3,7,5,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[2,6,7,5,1,4,3] => [6,2,1,3,7,4,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[2,6,7,5,3,1,4] => [6,2,1,3,5,7,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[2,6,7,5,3,4,1] => [6,2,1,3,5,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[2,6,7,5,4,1,3] => [6,2,1,3,4,7,5] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[2,6,7,5,4,3,1] => [6,2,1,3,4,5,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[2,7,1,3,4,5,6] => [6,1,7,5,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => 5
[2,7,1,3,4,6,5] => [6,1,7,5,4,2,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[2,7,1,3,5,4,6] => [6,1,7,5,3,4,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[2,7,1,3,5,6,4] => [6,1,7,5,3,2,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[2,7,1,3,6,4,5] => [6,1,7,5,2,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[2,7,1,3,6,5,4] => [6,1,7,5,2,3,4] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[2,7,1,4,3,5,6] => [6,1,7,4,5,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 8
[2,7,1,4,3,6,5] => [6,1,7,4,5,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[2,7,1,4,5,3,6] => [6,1,7,4,3,5,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[2,7,1,4,5,6,3] => [6,1,7,4,3,2,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[2,7,1,4,6,3,5] => [6,1,7,4,2,5,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[2,7,1,4,6,5,3] => [6,1,7,4,2,3,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[2,7,1,5,3,4,6] => [6,1,7,3,5,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[2,7,1,5,3,6,4] => [6,1,7,3,5,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[2,7,1,5,4,3,6] => [6,1,7,3,4,5,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[2,7,1,5,4,6,3] => [6,1,7,3,4,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[2,7,1,5,6,3,4] => [6,1,7,3,2,5,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[2,7,1,5,6,4,3] => [6,1,7,3,2,4,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[2,7,1,6,3,4,5] => [6,1,7,2,5,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[2,7,1,6,3,5,4] => [6,1,7,2,5,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[2,7,1,6,4,3,5] => [6,1,7,2,4,5,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[2,7,1,6,4,5,3] => [6,1,7,2,4,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[2,7,1,6,5,3,4] => [6,1,7,2,3,5,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[2,7,1,6,5,4,3] => [6,1,7,2,3,4,5] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[2,7,3,1,4,5,6] => [6,1,5,7,4,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => 9
[2,7,3,1,4,6,5] => [6,1,5,7,4,2,3] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[2,7,3,1,5,4,6] => [6,1,5,7,3,4,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[2,7,3,1,5,6,4] => [6,1,5,7,3,2,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[2,7,3,1,6,4,5] => [6,1,5,7,2,4,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[2,7,3,1,6,5,4] => [6,1,5,7,2,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[2,7,3,4,1,5,6] => [6,1,5,4,7,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 8
[2,7,3,4,1,6,5] => [6,1,5,4,7,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[2,7,3,4,5,1,6] => [6,1,5,4,3,7,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[2,7,3,4,5,6,1] => [6,1,5,4,3,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[2,7,3,4,6,1,5] => [6,1,5,4,2,7,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[2,7,3,4,6,5,1] => [6,1,5,4,2,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[2,7,3,5,1,4,6] => [6,1,5,3,7,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[2,7,3,5,1,6,4] => [6,1,5,3,7,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[2,7,3,5,4,1,6] => [6,1,5,3,4,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[2,7,3,5,4,6,1] => [6,1,5,3,4,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[2,7,3,5,6,1,4] => [6,1,5,3,2,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[2,7,3,5,6,4,1] => [6,1,5,3,2,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[2,7,3,6,1,4,5] => [6,1,5,2,7,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[2,7,3,6,1,5,4] => [6,1,5,2,7,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[2,7,3,6,4,1,5] => [6,1,5,2,4,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[2,7,3,6,4,5,1] => [6,1,5,2,4,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[2,7,3,6,5,1,4] => [6,1,5,2,3,7,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[2,7,3,6,5,4,1] => [6,1,5,2,3,4,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[2,7,4,1,3,5,6] => [6,1,4,7,5,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => 9
[2,7,4,1,3,6,5] => [6,1,4,7,5,2,3] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[2,7,4,1,5,3,6] => [6,1,4,7,3,5,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[2,7,4,1,5,6,3] => [6,1,4,7,3,2,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[2,7,4,1,6,3,5] => [6,1,4,7,2,5,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[2,7,4,1,6,5,3] => [6,1,4,7,2,3,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[2,7,4,3,5,1,6] => [6,1,4,5,3,7,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[2,7,4,3,5,6,1] => [6,1,4,5,3,2,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[2,7,4,3,6,1,5] => [6,1,4,5,2,7,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[2,7,4,3,6,5,1] => [6,1,4,5,2,3,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[2,7,4,5,1,3,6] => [6,1,4,3,7,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[2,7,4,5,1,6,3] => [6,1,4,3,7,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[2,7,4,5,3,1,6] => [6,1,4,3,5,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[2,7,4,5,3,6,1] => [6,1,4,3,5,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[2,7,4,5,6,1,3] => [6,1,4,3,2,7,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[2,7,4,5,6,3,1] => [6,1,4,3,2,5,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[2,7,4,6,1,3,5] => [6,1,4,2,7,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[2,7,4,6,1,5,3] => [6,1,4,2,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[2,7,4,6,3,1,5] => [6,1,4,2,5,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[2,7,4,6,3,5,1] => [6,1,4,2,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[2,7,4,6,5,1,3] => [6,1,4,2,3,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[2,7,4,6,5,3,1] => [6,1,4,2,3,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[2,7,5,1,3,4,6] => [6,1,3,7,5,4,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => 9
[2,7,5,1,3,6,4] => [6,1,3,7,5,2,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[2,7,5,1,4,3,6] => [6,1,3,7,4,5,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 11
[2,7,5,1,4,6,3] => [6,1,3,7,4,2,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[2,7,5,1,6,3,4] => [6,1,3,7,2,5,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[2,7,5,1,6,4,3] => [6,1,3,7,2,4,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[2,7,5,3,4,1,6] => [6,1,3,5,4,7,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 11
[2,7,5,3,4,6,1] => [6,1,3,5,4,2,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[2,7,5,3,6,1,4] => [6,1,3,5,2,7,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[2,7,5,3,6,4,1] => [6,1,3,5,2,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[2,7,5,4,6,1,3] => [6,1,3,4,2,7,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[2,7,5,4,6,3,1] => [6,1,3,4,2,5,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[2,7,5,6,1,3,4] => [6,1,3,2,7,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[2,7,5,6,1,4,3] => [6,1,3,2,7,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[2,7,5,6,3,1,4] => [6,1,3,2,5,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[2,7,5,6,3,4,1] => [6,1,3,2,5,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[2,7,5,6,4,1,3] => [6,1,3,2,4,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[2,7,5,6,4,3,1] => [6,1,3,2,4,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[2,7,6,1,3,4,5] => [6,1,2,7,5,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => 9
[2,7,6,1,3,5,4] => [6,1,2,7,5,3,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[2,7,6,1,4,5,3] => [6,1,2,7,4,3,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[2,7,6,3,4,5,1] => [6,1,2,5,4,3,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[3,4,1,2,5,6,7] => [5,4,7,6,3,2,1] => [[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => 5
[3,4,1,2,5,7,6] => [5,4,7,6,3,1,2] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[3,4,1,2,6,5,7] => [5,4,7,6,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[3,4,1,2,6,7,5] => [5,4,7,6,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[3,4,1,2,7,5,6] => [5,4,7,6,1,3,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[3,4,1,2,7,6,5] => [5,4,7,6,1,2,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[3,4,1,5,2,6,7] => [5,4,7,3,6,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 8
[3,4,1,5,2,7,6] => [5,4,7,3,6,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[3,4,1,5,6,2,7] => [5,4,7,3,2,6,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 7
[3,4,1,5,6,7,2] => [5,4,7,3,2,1,6] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 6
[3,4,1,5,7,2,6] => [5,4,7,3,1,6,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[3,4,1,5,7,6,2] => [5,4,7,3,1,2,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[3,4,1,6,2,5,7] => [5,4,7,2,6,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[3,4,1,6,2,7,5] => [5,4,7,2,6,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[3,4,1,6,5,2,7] => [5,4,7,2,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[3,4,1,6,5,7,2] => [5,4,7,2,3,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[3,4,1,6,7,2,5] => [5,4,7,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[3,4,1,6,7,5,2] => [5,4,7,2,1,3,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[3,4,1,7,2,5,6] => [5,4,7,1,6,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[3,4,1,7,2,6,5] => [5,4,7,1,6,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,4,1,7,5,2,6] => [5,4,7,1,3,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[3,4,1,7,5,6,2] => [5,4,7,1,3,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,4,1,7,6,2,5] => [5,4,7,1,2,6,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[3,4,1,7,6,5,2] => [5,4,7,1,2,3,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[3,4,2,1,5,6,7] => [5,4,6,7,3,2,1] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => 9
[3,4,2,1,5,7,6] => [5,4,6,7,3,1,2] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[3,4,2,1,6,5,7] => [5,4,6,7,2,3,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[3,4,2,1,6,7,5] => [5,4,6,7,2,1,3] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[3,4,2,1,7,5,6] => [5,4,6,7,1,3,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[3,4,2,1,7,6,5] => [5,4,6,7,1,2,3] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[3,4,2,5,1,6,7] => [5,4,6,3,7,2,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => 8
[3,4,2,5,1,7,6] => [5,4,6,3,7,1,2] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[3,4,2,5,6,1,7] => [5,4,6,3,2,7,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => 7
[3,4,2,5,6,7,1] => [5,4,6,3,2,1,7] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => 6
[3,4,2,5,7,1,6] => [5,4,6,3,1,7,2] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[3,4,2,5,7,6,1] => [5,4,6,3,1,2,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[3,4,2,6,1,5,7] => [5,4,6,2,7,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[3,4,2,6,1,7,5] => [5,4,6,2,7,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[3,4,2,6,5,1,7] => [5,4,6,2,3,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[3,4,2,6,5,7,1] => [5,4,6,2,3,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[3,4,2,6,7,1,5] => [5,4,6,2,1,7,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[3,4,2,6,7,5,1] => [5,4,6,2,1,3,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[3,4,2,7,1,5,6] => [5,4,6,1,7,3,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[3,4,2,7,1,6,5] => [5,4,6,1,7,2,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,4,2,7,5,1,6] => [5,4,6,1,3,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[3,4,2,7,5,6,1] => [5,4,6,1,3,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,4,2,7,6,1,5] => [5,4,6,1,2,7,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[3,4,2,7,6,5,1] => [5,4,6,1,2,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[3,4,5,1,2,6,7] => [5,4,3,7,6,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => 4
[3,4,5,1,2,7,6] => [5,4,3,7,6,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[3,4,5,1,6,2,7] => [5,4,3,7,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[3,4,5,1,6,7,2] => [5,4,3,7,2,1,6] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[3,4,5,1,7,2,6] => [5,4,3,7,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[3,4,5,1,7,6,2] => [5,4,3,7,1,2,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[3,4,5,2,1,6,7] => [5,4,3,6,7,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => 7
[3,4,5,2,1,7,6] => [5,4,3,6,7,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[3,4,5,2,6,1,7] => [5,4,3,6,2,7,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => 6
[3,4,5,2,6,7,1] => [5,4,3,6,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => 5
[3,4,5,2,7,1,6] => [5,4,3,6,1,7,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[3,4,5,2,7,6,1] => [5,4,3,6,1,2,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[3,4,5,6,1,2,7] => [5,4,3,2,7,6,1] => [[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => 3
[3,4,5,6,1,7,2] => [5,4,3,2,7,1,6] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[3,4,5,6,2,1,7] => [5,4,3,2,6,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => 5
[3,4,5,6,2,7,1] => [5,4,3,2,6,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => 4
[3,4,5,6,7,1,2] => [5,4,3,2,1,7,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => 2
[3,4,5,6,7,2,1] => [5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => 3
[3,4,5,7,1,2,6] => [5,4,3,1,7,6,2] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[3,4,5,7,1,6,2] => [5,4,3,1,7,2,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[3,4,5,7,2,1,6] => [5,4,3,1,6,7,2] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[3,4,5,7,2,6,1] => [5,4,3,1,6,2,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[3,4,5,7,6,1,2] => [5,4,3,1,2,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[3,4,5,7,6,2,1] => [5,4,3,1,2,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[3,4,6,1,2,5,7] => [5,4,2,7,6,3,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 4
[3,4,6,1,2,7,5] => [5,4,2,7,6,1,3] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[3,4,6,1,5,2,7] => [5,4,2,7,3,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[3,4,6,1,5,7,2] => [5,4,2,7,3,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[3,4,6,1,7,2,5] => [5,4,2,7,1,6,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[3,4,6,1,7,5,2] => [5,4,2,7,1,3,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[3,4,6,2,1,5,7] => [5,4,2,6,7,3,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 7
[3,4,6,2,1,7,5] => [5,4,2,6,7,1,3] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[3,4,6,2,5,1,7] => [5,4,2,6,3,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[3,4,6,2,5,7,1] => [5,4,2,6,3,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[3,4,6,2,7,1,5] => [5,4,2,6,1,7,3] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[3,4,6,2,7,5,1] => [5,4,2,6,1,3,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[3,4,6,5,1,2,7] => [5,4,2,3,7,6,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 7
[3,4,6,5,1,7,2] => [5,4,2,3,7,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[3,4,6,5,2,1,7] => [5,4,2,3,6,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 9
[3,4,6,5,2,7,1] => [5,4,2,3,6,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[3,4,6,5,7,1,2] => [5,4,2,3,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[3,4,6,5,7,2,1] => [5,4,2,3,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[3,4,6,7,1,2,5] => [5,4,2,1,7,6,3] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[3,4,6,7,1,5,2] => [5,4,2,1,7,3,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[3,4,6,7,2,1,5] => [5,4,2,1,6,7,3] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[3,4,6,7,2,5,1] => [5,4,2,1,6,3,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[3,4,6,7,5,1,2] => [5,4,2,1,3,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[3,4,6,7,5,2,1] => [5,4,2,1,3,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[3,4,7,1,2,5,6] => [5,4,1,7,6,3,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[3,4,7,1,2,6,5] => [5,4,1,7,6,2,3] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[3,4,7,1,5,2,6] => [5,4,1,7,3,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[3,4,7,1,5,6,2] => [5,4,1,7,3,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[3,4,7,1,6,2,5] => [5,4,1,7,2,6,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[3,4,7,1,6,5,2] => [5,4,1,7,2,3,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[3,4,7,2,1,5,6] => [5,4,1,6,7,3,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[3,4,7,2,1,6,5] => [5,4,1,6,7,2,3] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[3,4,7,2,5,1,6] => [5,4,1,6,3,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[3,4,7,2,5,6,1] => [5,4,1,6,3,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[3,4,7,2,6,1,5] => [5,4,1,6,2,7,3] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[3,4,7,2,6,5,1] => [5,4,1,6,2,3,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[3,4,7,5,1,2,6] => [5,4,1,3,7,6,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[3,4,7,5,1,6,2] => [5,4,1,3,7,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[3,4,7,5,2,1,6] => [5,4,1,3,6,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[3,4,7,5,2,6,1] => [5,4,1,3,6,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[3,4,7,5,6,1,2] => [5,4,1,3,2,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[3,4,7,5,6,2,1] => [5,4,1,3,2,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[3,4,7,6,1,2,5] => [5,4,1,2,7,6,3] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[3,4,7,6,1,5,2] => [5,4,1,2,7,3,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[3,4,7,6,2,1,5] => [5,4,1,2,6,7,3] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[3,4,7,6,2,5,1] => [5,4,1,2,6,3,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[3,4,7,6,5,1,2] => [5,4,1,2,3,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[3,4,7,6,5,2,1] => [5,4,1,2,3,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[3,5,1,2,4,6,7] => [5,3,7,6,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => 5
[3,5,1,2,4,7,6] => [5,3,7,6,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[3,5,1,2,6,4,7] => [5,3,7,6,2,4,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[3,5,1,2,6,7,4] => [5,3,7,6,2,1,4] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[3,5,1,2,7,4,6] => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[3,5,1,2,7,6,4] => [5,3,7,6,1,2,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[3,5,1,4,2,6,7] => [5,3,7,4,6,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => 8
[3,5,1,4,2,7,6] => [5,3,7,4,6,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[3,5,1,4,6,2,7] => [5,3,7,4,2,6,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[3,5,1,4,6,7,2] => [5,3,7,4,2,1,6] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[3,5,1,4,7,2,6] => [5,3,7,4,1,6,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[3,5,1,4,7,6,2] => [5,3,7,4,1,2,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[3,5,1,6,2,4,7] => [5,3,7,2,6,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[3,5,1,6,2,7,4] => [5,3,7,2,6,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[3,5,1,6,4,2,7] => [5,3,7,2,4,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[3,5,1,6,4,7,2] => [5,3,7,2,4,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[3,5,1,6,7,2,4] => [5,3,7,2,1,6,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[3,5,1,6,7,4,2] => [5,3,7,2,1,4,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[3,5,1,7,2,4,6] => [5,3,7,1,6,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[3,5,1,7,2,6,4] => [5,3,7,1,6,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,5,1,7,4,2,6] => [5,3,7,1,4,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[3,5,1,7,4,6,2] => [5,3,7,1,4,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,5,1,7,6,2,4] => [5,3,7,1,2,6,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[3,5,1,7,6,4,2] => [5,3,7,1,2,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[3,5,2,1,4,6,7] => [5,3,6,7,4,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => 9
[3,5,2,1,4,7,6] => [5,3,6,7,4,1,2] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[3,5,2,1,6,4,7] => [5,3,6,7,2,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[3,5,2,1,6,7,4] => [5,3,6,7,2,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[3,5,2,1,7,4,6] => [5,3,6,7,1,4,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[3,5,2,1,7,6,4] => [5,3,6,7,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[3,5,2,4,1,6,7] => [5,3,6,4,7,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => 8
[3,5,2,4,1,7,6] => [5,3,6,4,7,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[3,5,2,4,6,1,7] => [5,3,6,4,2,7,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[3,5,2,4,6,7,1] => [5,3,6,4,2,1,7] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[3,5,2,4,7,1,6] => [5,3,6,4,1,7,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[3,5,2,4,7,6,1] => [5,3,6,4,1,2,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[3,5,2,6,1,4,7] => [5,3,6,2,7,4,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[3,5,2,6,1,7,4] => [5,3,6,2,7,1,4] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[3,5,2,6,4,1,7] => [5,3,6,2,4,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[3,5,2,6,4,7,1] => [5,3,6,2,4,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[3,5,2,6,7,1,4] => [5,3,6,2,1,7,4] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[3,5,2,6,7,4,1] => [5,3,6,2,1,4,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[3,5,2,7,1,4,6] => [5,3,6,1,7,4,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[3,5,2,7,1,6,4] => [5,3,6,1,7,2,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,5,2,7,4,1,6] => [5,3,6,1,4,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[3,5,2,7,4,6,1] => [5,3,6,1,4,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,5,2,7,6,1,4] => [5,3,6,1,2,7,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[3,5,2,7,6,4,1] => [5,3,6,1,2,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[3,5,4,1,2,6,7] => [5,3,4,7,6,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => 9
[3,5,4,1,2,7,6] => [5,3,4,7,6,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[3,5,4,1,6,2,7] => [5,3,4,7,2,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[3,5,4,1,6,7,2] => [5,3,4,7,2,1,6] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[3,5,4,1,7,2,6] => [5,3,4,7,1,6,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[3,5,4,1,7,6,2] => [5,3,4,7,1,2,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[3,5,4,2,6,1,7] => [5,3,4,6,2,7,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[3,5,4,2,6,7,1] => [5,3,4,6,2,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[3,5,4,2,7,1,6] => [5,3,4,6,1,7,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[3,5,4,2,7,6,1] => [5,3,4,6,1,2,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[3,5,4,6,1,2,7] => [5,3,4,2,7,6,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[3,5,4,6,1,7,2] => [5,3,4,2,7,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[3,5,4,6,2,1,7] => [5,3,4,2,6,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[3,5,4,6,2,7,1] => [5,3,4,2,6,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[3,5,4,6,7,1,2] => [5,3,4,2,1,7,6] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[3,5,4,6,7,2,1] => [5,3,4,2,1,6,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[3,5,4,7,1,2,6] => [5,3,4,1,7,6,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[3,5,4,7,1,6,2] => [5,3,4,1,7,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,5,4,7,2,1,6] => [5,3,4,1,6,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[3,5,4,7,2,6,1] => [5,3,4,1,6,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,5,4,7,6,1,2] => [5,3,4,1,2,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[3,5,4,7,6,2,1] => [5,3,4,1,2,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[3,5,6,1,2,4,7] => [5,3,2,7,6,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 4
[3,5,6,1,2,7,4] => [5,3,2,7,6,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[3,5,6,1,4,2,7] => [5,3,2,7,4,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[3,5,6,1,4,7,2] => [5,3,2,7,4,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[3,5,6,1,7,2,4] => [5,3,2,7,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[3,5,6,1,7,4,2] => [5,3,2,7,1,4,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[3,5,6,2,1,4,7] => [5,3,2,6,7,4,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 7
[3,5,6,2,1,7,4] => [5,3,2,6,7,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[3,5,6,2,4,1,7] => [5,3,2,6,4,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[3,5,6,2,4,7,1] => [5,3,2,6,4,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[3,5,6,2,7,1,4] => [5,3,2,6,1,7,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[3,5,6,2,7,4,1] => [5,3,2,6,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[3,5,6,4,1,2,7] => [5,3,2,4,7,6,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 7
[3,5,6,4,1,7,2] => [5,3,2,4,7,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[3,5,6,4,2,1,7] => [5,3,2,4,6,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 9
[3,5,6,4,2,7,1] => [5,3,2,4,6,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[3,5,6,4,7,1,2] => [5,3,2,4,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[3,5,6,4,7,2,1] => [5,3,2,4,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[3,5,6,7,1,2,4] => [5,3,2,1,7,6,4] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[3,5,6,7,1,4,2] => [5,3,2,1,7,4,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[3,5,6,7,2,1,4] => [5,3,2,1,6,7,4] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[3,5,6,7,2,4,1] => [5,3,2,1,6,4,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[3,5,6,7,4,1,2] => [5,3,2,1,4,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[3,5,6,7,4,2,1] => [5,3,2,1,4,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[3,5,7,1,2,4,6] => [5,3,1,7,6,4,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[3,5,7,1,2,6,4] => [5,3,1,7,6,2,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[3,5,7,1,4,2,6] => [5,3,1,7,4,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[3,5,7,1,4,6,2] => [5,3,1,7,4,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[3,5,7,1,6,2,4] => [5,3,1,7,2,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[3,5,7,1,6,4,2] => [5,3,1,7,2,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[3,5,7,2,1,4,6] => [5,3,1,6,7,4,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[3,5,7,2,1,6,4] => [5,3,1,6,7,2,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[3,5,7,2,4,1,6] => [5,3,1,6,4,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[3,5,7,2,4,6,1] => [5,3,1,6,4,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[3,5,7,2,6,1,4] => [5,3,1,6,2,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[3,5,7,2,6,4,1] => [5,3,1,6,2,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[3,5,7,4,1,2,6] => [5,3,1,4,7,6,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[3,5,7,4,1,6,2] => [5,3,1,4,7,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[3,5,7,4,2,1,6] => [5,3,1,4,6,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[3,5,7,4,2,6,1] => [5,3,1,4,6,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[3,5,7,4,6,1,2] => [5,3,1,4,2,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[3,5,7,4,6,2,1] => [5,3,1,4,2,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[3,5,7,6,1,2,4] => [5,3,1,2,7,6,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[3,5,7,6,1,4,2] => [5,3,1,2,7,4,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[3,5,7,6,2,1,4] => [5,3,1,2,6,7,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[3,5,7,6,2,4,1] => [5,3,1,2,6,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[3,5,7,6,4,1,2] => [5,3,1,2,4,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[3,5,7,6,4,2,1] => [5,3,1,2,4,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[3,6,1,2,4,5,7] => [5,2,7,6,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => 5
[3,6,1,2,4,7,5] => [5,2,7,6,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[3,6,1,2,5,4,7] => [5,2,7,6,3,4,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[3,6,1,2,5,7,4] => [5,2,7,6,3,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[3,6,1,2,7,4,5] => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[3,6,1,2,7,5,4] => [5,2,7,6,1,3,4] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[3,6,1,4,2,5,7] => [5,2,7,4,6,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 8
[3,6,1,4,2,7,5] => [5,2,7,4,6,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[3,6,1,4,5,2,7] => [5,2,7,4,3,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[3,6,1,4,5,7,2] => [5,2,7,4,3,1,6] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[3,6,1,4,7,2,5] => [5,2,7,4,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[3,6,1,4,7,5,2] => [5,2,7,4,1,3,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[3,6,1,5,2,4,7] => [5,2,7,3,6,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[3,6,1,5,2,7,4] => [5,2,7,3,6,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[3,6,1,5,4,2,7] => [5,2,7,3,4,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[3,6,1,5,4,7,2] => [5,2,7,3,4,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[3,6,1,5,7,2,4] => [5,2,7,3,1,6,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[3,6,1,5,7,4,2] => [5,2,7,3,1,4,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[3,6,1,7,2,4,5] => [5,2,7,1,6,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[3,6,1,7,2,5,4] => [5,2,7,1,6,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,6,1,7,4,2,5] => [5,2,7,1,4,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[3,6,1,7,4,5,2] => [5,2,7,1,4,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,6,1,7,5,2,4] => [5,2,7,1,3,6,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[3,6,1,7,5,4,2] => [5,2,7,1,3,4,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[3,6,2,1,4,5,7] => [5,2,6,7,4,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => 9
[3,6,2,1,4,7,5] => [5,2,6,7,4,1,3] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[3,6,2,1,5,4,7] => [5,2,6,7,3,4,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[3,6,2,1,5,7,4] => [5,2,6,7,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[3,6,2,1,7,4,5] => [5,2,6,7,1,4,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[3,6,2,1,7,5,4] => [5,2,6,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[3,6,2,4,1,5,7] => [5,2,6,4,7,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 8
[3,6,2,4,1,7,5] => [5,2,6,4,7,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[3,6,2,4,5,1,7] => [5,2,6,4,3,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[3,6,2,4,5,7,1] => [5,2,6,4,3,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[3,6,2,4,7,1,5] => [5,2,6,4,1,7,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[3,6,2,4,7,5,1] => [5,2,6,4,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[3,6,2,5,1,4,7] => [5,2,6,3,7,4,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[3,6,2,5,1,7,4] => [5,2,6,3,7,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[3,6,2,5,4,1,7] => [5,2,6,3,4,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[3,6,2,5,4,7,1] => [5,2,6,3,4,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[3,6,2,5,7,1,4] => [5,2,6,3,1,7,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[3,6,2,5,7,4,1] => [5,2,6,3,1,4,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[3,6,2,7,1,4,5] => [5,2,6,1,7,4,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[3,6,2,7,1,5,4] => [5,2,6,1,7,3,4] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,6,2,7,4,1,5] => [5,2,6,1,4,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[3,6,2,7,4,5,1] => [5,2,6,1,4,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,6,2,7,5,1,4] => [5,2,6,1,3,7,4] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[3,6,2,7,5,4,1] => [5,2,6,1,3,4,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[3,6,4,1,2,5,7] => [5,2,4,7,6,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => 9
[3,6,4,1,2,7,5] => [5,2,4,7,6,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[3,6,4,1,5,2,7] => [5,2,4,7,3,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[3,6,4,1,5,7,2] => [5,2,4,7,3,1,6] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[3,6,4,1,7,2,5] => [5,2,4,7,1,6,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[3,6,4,1,7,5,2] => [5,2,4,7,1,3,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[3,6,4,2,5,1,7] => [5,2,4,6,3,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[3,6,4,2,5,7,1] => [5,2,4,6,3,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[3,6,4,2,7,1,5] => [5,2,4,6,1,7,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[3,6,4,2,7,5,1] => [5,2,4,6,1,3,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[3,6,4,5,1,2,7] => [5,2,4,3,7,6,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[3,6,4,5,1,7,2] => [5,2,4,3,7,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[3,6,4,5,2,1,7] => [5,2,4,3,6,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[3,6,4,5,2,7,1] => [5,2,4,3,6,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[3,6,4,5,7,1,2] => [5,2,4,3,1,7,6] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[3,6,4,5,7,2,1] => [5,2,4,3,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[3,6,4,7,1,2,5] => [5,2,4,1,7,6,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[3,6,4,7,1,5,2] => [5,2,4,1,7,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,6,4,7,2,1,5] => [5,2,4,1,6,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[3,6,4,7,2,5,1] => [5,2,4,1,6,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,6,4,7,5,1,2] => [5,2,4,1,3,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[3,6,4,7,5,2,1] => [5,2,4,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[3,6,5,1,2,4,7] => [5,2,3,7,6,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => 9
[3,6,5,1,2,7,4] => [5,2,3,7,6,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[3,6,5,1,4,2,7] => [5,2,3,7,4,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 11
[3,6,5,1,4,7,2] => [5,2,3,7,4,1,6] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[3,6,5,1,7,2,4] => [5,2,3,7,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[3,6,5,1,7,4,2] => [5,2,3,7,1,4,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[3,6,5,2,4,1,7] => [5,2,3,6,4,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 11
[3,6,5,2,4,7,1] => [5,2,3,6,4,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[3,6,5,2,7,1,4] => [5,2,3,6,1,7,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[3,6,5,2,7,4,1] => [5,2,3,6,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[3,6,5,4,7,1,2] => [5,2,3,4,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[3,6,5,4,7,2,1] => [5,2,3,4,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[3,6,5,7,1,2,4] => [5,2,3,1,7,6,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[3,6,5,7,1,4,2] => [5,2,3,1,7,4,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,6,5,7,2,1,4] => [5,2,3,1,6,7,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[3,6,5,7,2,4,1] => [5,2,3,1,6,4,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[3,6,5,7,4,1,2] => [5,2,3,1,4,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[3,6,5,7,4,2,1] => [5,2,3,1,4,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[3,6,7,1,2,4,5] => [5,2,1,7,6,4,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[3,6,7,1,2,5,4] => [5,2,1,7,6,3,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[3,6,7,1,4,2,5] => [5,2,1,7,4,6,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[3,6,7,1,4,5,2] => [5,2,1,7,4,3,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[3,6,7,1,5,2,4] => [5,2,1,7,3,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[3,6,7,1,5,4,2] => [5,2,1,7,3,4,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[3,6,7,2,1,4,5] => [5,2,1,6,7,4,3] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[3,6,7,2,1,5,4] => [5,2,1,6,7,3,4] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[3,6,7,2,4,1,5] => [5,2,1,6,4,7,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[3,6,7,2,4,5,1] => [5,2,1,6,4,3,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[3,6,7,2,5,1,4] => [5,2,1,6,3,7,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[3,6,7,2,5,4,1] => [5,2,1,6,3,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[3,6,7,4,1,2,5] => [5,2,1,4,7,6,3] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[3,6,7,4,1,5,2] => [5,2,1,4,7,3,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[3,6,7,4,2,1,5] => [5,2,1,4,6,7,3] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[3,6,7,4,2,5,1] => [5,2,1,4,6,3,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[3,6,7,4,5,1,2] => [5,2,1,4,3,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[3,6,7,4,5,2,1] => [5,2,1,4,3,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[3,6,7,5,1,2,4] => [5,2,1,3,7,6,4] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[3,6,7,5,1,4,2] => [5,2,1,3,7,4,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[3,6,7,5,2,1,4] => [5,2,1,3,6,7,4] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[3,6,7,5,2,4,1] => [5,2,1,3,6,4,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[3,6,7,5,4,1,2] => [5,2,1,3,4,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[3,6,7,5,4,2,1] => [5,2,1,3,4,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[3,7,1,2,4,5,6] => [5,1,7,6,4,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => 5
[3,7,1,2,4,6,5] => [5,1,7,6,4,2,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[3,7,1,2,5,4,6] => [5,1,7,6,3,4,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[3,7,1,2,5,6,4] => [5,1,7,6,3,2,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[3,7,1,2,6,4,5] => [5,1,7,6,2,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[3,7,1,2,6,5,4] => [5,1,7,6,2,3,4] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[3,7,1,4,2,5,6] => [5,1,7,4,6,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 8
[3,7,1,4,2,6,5] => [5,1,7,4,6,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[3,7,1,4,5,2,6] => [5,1,7,4,3,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[3,7,1,4,5,6,2] => [5,1,7,4,3,2,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[3,7,1,4,6,2,5] => [5,1,7,4,2,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[3,7,1,4,6,5,2] => [5,1,7,4,2,3,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[3,7,1,5,2,4,6] => [5,1,7,3,6,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[3,7,1,5,2,6,4] => [5,1,7,3,6,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[3,7,1,5,4,2,6] => [5,1,7,3,4,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[3,7,1,5,4,6,2] => [5,1,7,3,4,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[3,7,1,5,6,2,4] => [5,1,7,3,2,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[3,7,1,5,6,4,2] => [5,1,7,3,2,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[3,7,1,6,2,4,5] => [5,1,7,2,6,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[3,7,1,6,2,5,4] => [5,1,7,2,6,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[3,7,1,6,4,2,5] => [5,1,7,2,4,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[3,7,1,6,4,5,2] => [5,1,7,2,4,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[3,7,1,6,5,2,4] => [5,1,7,2,3,6,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[3,7,1,6,5,4,2] => [5,1,7,2,3,4,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[3,7,2,1,4,5,6] => [5,1,6,7,4,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => 9
[3,7,2,1,4,6,5] => [5,1,6,7,4,2,3] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[3,7,2,1,5,4,6] => [5,1,6,7,3,4,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[3,7,2,1,5,6,4] => [5,1,6,7,3,2,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[3,7,2,1,6,4,5] => [5,1,6,7,2,4,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[3,7,2,1,6,5,4] => [5,1,6,7,2,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[3,7,2,4,1,5,6] => [5,1,6,4,7,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 8
[3,7,2,4,1,6,5] => [5,1,6,4,7,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[3,7,2,4,5,1,6] => [5,1,6,4,3,7,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[3,7,2,4,5,6,1] => [5,1,6,4,3,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[3,7,2,4,6,1,5] => [5,1,6,4,2,7,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[3,7,2,4,6,5,1] => [5,1,6,4,2,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[3,7,2,5,1,4,6] => [5,1,6,3,7,4,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[3,7,2,5,1,6,4] => [5,1,6,3,7,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[3,7,2,5,4,1,6] => [5,1,6,3,4,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[3,7,2,5,4,6,1] => [5,1,6,3,4,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[3,7,2,5,6,1,4] => [5,1,6,3,2,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[3,7,2,5,6,4,1] => [5,1,6,3,2,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[3,7,2,6,1,4,5] => [5,1,6,2,7,4,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[3,7,2,6,1,5,4] => [5,1,6,2,7,3,4] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[3,7,2,6,4,1,5] => [5,1,6,2,4,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[3,7,2,6,4,5,1] => [5,1,6,2,4,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[3,7,2,6,5,1,4] => [5,1,6,2,3,7,4] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[3,7,2,6,5,4,1] => [5,1,6,2,3,4,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[3,7,4,1,2,5,6] => [5,1,4,7,6,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => 9
[3,7,4,1,2,6,5] => [5,1,4,7,6,2,3] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[3,7,4,1,5,2,6] => [5,1,4,7,3,6,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[3,7,4,1,5,6,2] => [5,1,4,7,3,2,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[3,7,4,1,6,2,5] => [5,1,4,7,2,6,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[3,7,4,1,6,5,2] => [5,1,4,7,2,3,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[3,7,4,2,5,1,6] => [5,1,4,6,3,7,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[3,7,4,2,5,6,1] => [5,1,4,6,3,2,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[3,7,4,2,6,1,5] => [5,1,4,6,2,7,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[3,7,4,2,6,5,1] => [5,1,4,6,2,3,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[3,7,4,5,1,2,6] => [5,1,4,3,7,6,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[3,7,4,5,1,6,2] => [5,1,4,3,7,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[3,7,4,5,2,1,6] => [5,1,4,3,6,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[3,7,4,5,2,6,1] => [5,1,4,3,6,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[3,7,4,5,6,1,2] => [5,1,4,3,2,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[3,7,4,5,6,2,1] => [5,1,4,3,2,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[3,7,4,6,1,2,5] => [5,1,4,2,7,6,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[3,7,4,6,1,5,2] => [5,1,4,2,7,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[3,7,4,6,2,1,5] => [5,1,4,2,6,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[3,7,4,6,2,5,1] => [5,1,4,2,6,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[3,7,4,6,5,1,2] => [5,1,4,2,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[3,7,4,6,5,2,1] => [5,1,4,2,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[3,7,5,1,2,4,6] => [5,1,3,7,6,4,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => 9
[3,7,5,1,2,6,4] => [5,1,3,7,6,2,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[3,7,5,1,4,2,6] => [5,1,3,7,4,6,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 11
[3,7,5,1,4,6,2] => [5,1,3,7,4,2,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[3,7,5,1,6,2,4] => [5,1,3,7,2,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[3,7,5,1,6,4,2] => [5,1,3,7,2,4,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[3,7,5,2,4,1,6] => [5,1,3,6,4,7,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 11
[3,7,5,2,4,6,1] => [5,1,3,6,4,2,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[3,7,5,2,6,1,4] => [5,1,3,6,2,7,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[3,7,5,2,6,4,1] => [5,1,3,6,2,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[3,7,5,4,6,1,2] => [5,1,3,4,2,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[3,7,5,4,6,2,1] => [5,1,3,4,2,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[3,7,5,6,1,2,4] => [5,1,3,2,7,6,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[3,7,5,6,1,4,2] => [5,1,3,2,7,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[3,7,5,6,2,1,4] => [5,1,3,2,6,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[3,7,5,6,2,4,1] => [5,1,3,2,6,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[3,7,5,6,4,1,2] => [5,1,3,2,4,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[3,7,5,6,4,2,1] => [5,1,3,2,4,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[3,7,6,1,2,4,5] => [5,1,2,7,6,4,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => 9
[3,7,6,1,2,5,4] => [5,1,2,7,6,3,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[3,7,6,1,4,5,2] => [5,1,2,7,4,3,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[3,7,6,2,4,5,1] => [5,1,2,6,4,3,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[4,5,1,2,3,6,7] => [4,3,7,6,5,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => 5
[4,5,1,2,3,7,6] => [4,3,7,6,5,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[4,5,1,2,6,3,7] => [4,3,7,6,2,5,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[4,5,1,2,6,7,3] => [4,3,7,6,2,1,5] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[4,5,1,2,7,3,6] => [4,3,7,6,1,5,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[4,5,1,2,7,6,3] => [4,3,7,6,1,2,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[4,5,1,3,2,6,7] => [4,3,7,5,6,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => 8
[4,5,1,3,2,7,6] => [4,3,7,5,6,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[4,5,1,3,6,2,7] => [4,3,7,5,2,6,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[4,5,1,3,6,7,2] => [4,3,7,5,2,1,6] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[4,5,1,3,7,2,6] => [4,3,7,5,1,6,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[4,5,1,3,7,6,2] => [4,3,7,5,1,2,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[4,5,1,6,2,3,7] => [4,3,7,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[4,5,1,6,2,7,3] => [4,3,7,2,6,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[4,5,1,6,3,2,7] => [4,3,7,2,5,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[4,5,1,6,3,7,2] => [4,3,7,2,5,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[4,5,1,6,7,2,3] => [4,3,7,2,1,6,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[4,5,1,6,7,3,2] => [4,3,7,2,1,5,6] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[4,5,1,7,2,3,6] => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[4,5,1,7,2,6,3] => [4,3,7,1,6,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,5,1,7,3,2,6] => [4,3,7,1,5,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[4,5,1,7,3,6,2] => [4,3,7,1,5,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,5,1,7,6,2,3] => [4,3,7,1,2,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[4,5,1,7,6,3,2] => [4,3,7,1,2,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[4,5,2,1,3,6,7] => [4,3,6,7,5,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => 9
[4,5,2,1,3,7,6] => [4,3,6,7,5,1,2] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[4,5,2,1,6,3,7] => [4,3,6,7,2,5,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[4,5,2,1,6,7,3] => [4,3,6,7,2,1,5] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[4,5,2,1,7,3,6] => [4,3,6,7,1,5,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[4,5,2,1,7,6,3] => [4,3,6,7,1,2,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[4,5,2,3,1,6,7] => [4,3,6,5,7,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => 8
[4,5,2,3,1,7,6] => [4,3,6,5,7,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[4,5,2,3,6,1,7] => [4,3,6,5,2,7,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => 7
[4,5,2,3,6,7,1] => [4,3,6,5,2,1,7] => [[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => 6
[4,5,2,3,7,1,6] => [4,3,6,5,1,7,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[4,5,2,3,7,6,1] => [4,3,6,5,1,2,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[4,5,2,6,1,3,7] => [4,3,6,2,7,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[4,5,2,6,1,7,3] => [4,3,6,2,7,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[4,5,2,6,3,1,7] => [4,3,6,2,5,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[4,5,2,6,3,7,1] => [4,3,6,2,5,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[4,5,2,6,7,1,3] => [4,3,6,2,1,7,5] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[4,5,2,6,7,3,1] => [4,3,6,2,1,5,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[4,5,2,7,1,3,6] => [4,3,6,1,7,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[4,5,2,7,1,6,3] => [4,3,6,1,7,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,5,2,7,3,1,6] => [4,3,6,1,5,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[4,5,2,7,3,6,1] => [4,3,6,1,5,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,5,2,7,6,1,3] => [4,3,6,1,2,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[4,5,2,7,6,3,1] => [4,3,6,1,2,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[4,5,3,1,2,6,7] => [4,3,5,7,6,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => 9
[4,5,3,1,2,7,6] => [4,3,5,7,6,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[4,5,3,1,6,2,7] => [4,3,5,7,2,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[4,5,3,1,6,7,2] => [4,3,5,7,2,1,6] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[4,5,3,1,7,2,6] => [4,3,5,7,1,6,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[4,5,3,1,7,6,2] => [4,3,5,7,1,2,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[4,5,3,2,6,1,7] => [4,3,5,6,2,7,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => 11
[4,5,3,2,6,7,1] => [4,3,5,6,2,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => 10
[4,5,3,2,7,1,6] => [4,3,5,6,1,7,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[4,5,3,2,7,6,1] => [4,3,5,6,1,2,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[4,5,3,6,1,2,7] => [4,3,5,2,7,6,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => 8
[4,5,3,6,1,7,2] => [4,3,5,2,7,1,6] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[4,5,3,6,2,1,7] => [4,3,5,2,6,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => 10
[4,5,3,6,2,7,1] => [4,3,5,2,6,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => 9
[4,5,3,6,7,1,2] => [4,3,5,2,1,7,6] => [[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => 7
[4,5,3,6,7,2,1] => [4,3,5,2,1,6,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => 8
[4,5,3,7,1,2,6] => [4,3,5,1,7,6,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[4,5,3,7,1,6,2] => [4,3,5,1,7,2,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,5,3,7,2,1,6] => [4,3,5,1,6,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[4,5,3,7,2,6,1] => [4,3,5,1,6,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,5,3,7,6,1,2] => [4,3,5,1,2,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[4,5,3,7,6,2,1] => [4,3,5,1,2,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[4,5,6,1,2,3,7] => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => 4
[4,5,6,1,2,7,3] => [4,3,2,7,6,1,5] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[4,5,6,1,3,2,7] => [4,3,2,7,5,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[4,5,6,1,3,7,2] => [4,3,2,7,5,1,6] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[4,5,6,1,7,2,3] => [4,3,2,7,1,6,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[4,5,6,1,7,3,2] => [4,3,2,7,1,5,6] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[4,5,6,2,1,3,7] => [4,3,2,6,7,5,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => 7
[4,5,6,2,1,7,3] => [4,3,2,6,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[4,5,6,2,3,1,7] => [4,3,2,6,5,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => 6
[4,5,6,2,3,7,1] => [4,3,2,6,5,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => 5
[4,5,6,2,7,1,3] => [4,3,2,6,1,7,5] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[4,5,6,2,7,3,1] => [4,3,2,6,1,5,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[4,5,6,3,1,2,7] => [4,3,2,5,7,6,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => 7
[4,5,6,3,1,7,2] => [4,3,2,5,7,1,6] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[4,5,6,3,2,1,7] => [4,3,2,5,6,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => 9
[4,5,6,3,2,7,1] => [4,3,2,5,6,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => 8
[4,5,6,3,7,1,2] => [4,3,2,5,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => 6
[4,5,6,3,7,2,1] => [4,3,2,5,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => 7
[4,5,6,7,1,2,3] => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => 3
[4,5,6,7,1,3,2] => [4,3,2,1,7,5,6] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[4,5,6,7,2,1,3] => [4,3,2,1,6,7,5] => [[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => 5
[4,5,6,7,2,3,1] => [4,3,2,1,6,5,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => 4
[4,5,6,7,3,1,2] => [4,3,2,1,5,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => 5
[4,5,6,7,3,2,1] => [4,3,2,1,5,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => 6
[4,5,7,1,2,3,6] => [4,3,1,7,6,5,2] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[4,5,7,1,2,6,3] => [4,3,1,7,6,2,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[4,5,7,1,3,2,6] => [4,3,1,7,5,6,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[4,5,7,1,3,6,2] => [4,3,1,7,5,2,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[4,5,7,1,6,2,3] => [4,3,1,7,2,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[4,5,7,1,6,3,2] => [4,3,1,7,2,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[4,5,7,2,1,3,6] => [4,3,1,6,7,5,2] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[4,5,7,2,1,6,3] => [4,3,1,6,7,2,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[4,5,7,2,3,1,6] => [4,3,1,6,5,7,2] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[4,5,7,2,3,6,1] => [4,3,1,6,5,2,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[4,5,7,2,6,1,3] => [4,3,1,6,2,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[4,5,7,2,6,3,1] => [4,3,1,6,2,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[4,5,7,3,1,2,6] => [4,3,1,5,7,6,2] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[4,5,7,3,1,6,2] => [4,3,1,5,7,2,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[4,5,7,3,2,1,6] => [4,3,1,5,6,7,2] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[4,5,7,3,2,6,1] => [4,3,1,5,6,2,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[4,5,7,3,6,1,2] => [4,3,1,5,2,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[4,5,7,3,6,2,1] => [4,3,1,5,2,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[4,5,7,6,1,2,3] => [4,3,1,2,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[4,5,7,6,1,3,2] => [4,3,1,2,7,5,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[4,5,7,6,2,1,3] => [4,3,1,2,6,7,5] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[4,5,7,6,2,3,1] => [4,3,1,2,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[4,5,7,6,3,1,2] => [4,3,1,2,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[4,5,7,6,3,2,1] => [4,3,1,2,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[4,6,1,2,3,5,7] => [4,2,7,6,5,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => 5
[4,6,1,2,3,7,5] => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[4,6,1,2,5,3,7] => [4,2,7,6,3,5,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[4,6,1,2,5,7,3] => [4,2,7,6,3,1,5] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[4,6,1,2,7,3,5] => [4,2,7,6,1,5,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[4,6,1,2,7,5,3] => [4,2,7,6,1,3,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[4,6,1,3,2,5,7] => [4,2,7,5,6,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 8
[4,6,1,3,2,7,5] => [4,2,7,5,6,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[4,6,1,3,5,2,7] => [4,2,7,5,3,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[4,6,1,3,5,7,2] => [4,2,7,5,3,1,6] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[4,6,1,3,7,2,5] => [4,2,7,5,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[4,6,1,3,7,5,2] => [4,2,7,5,1,3,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[4,6,1,5,2,3,7] => [4,2,7,3,6,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[4,6,1,5,2,7,3] => [4,2,7,3,6,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[4,6,1,5,3,2,7] => [4,2,7,3,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[4,6,1,5,3,7,2] => [4,2,7,3,5,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[4,6,1,5,7,2,3] => [4,2,7,3,1,6,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[4,6,1,5,7,3,2] => [4,2,7,3,1,5,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[4,6,1,7,2,3,5] => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[4,6,1,7,2,5,3] => [4,2,7,1,6,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,6,1,7,3,2,5] => [4,2,7,1,5,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[4,6,1,7,3,5,2] => [4,2,7,1,5,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,6,1,7,5,2,3] => [4,2,7,1,3,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[4,6,1,7,5,3,2] => [4,2,7,1,3,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[4,6,2,1,3,5,7] => [4,2,6,7,5,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => 9
[4,6,2,1,3,7,5] => [4,2,6,7,5,1,3] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[4,6,2,1,5,3,7] => [4,2,6,7,3,5,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[4,6,2,1,5,7,3] => [4,2,6,7,3,1,5] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[4,6,2,1,7,3,5] => [4,2,6,7,1,5,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[4,6,2,1,7,5,3] => [4,2,6,7,1,3,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[4,6,2,3,1,5,7] => [4,2,6,5,7,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 8
[4,6,2,3,1,7,5] => [4,2,6,5,7,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[4,6,2,3,5,1,7] => [4,2,6,5,3,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[4,6,2,3,5,7,1] => [4,2,6,5,3,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[4,6,2,3,7,1,5] => [4,2,6,5,1,7,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[4,6,2,3,7,5,1] => [4,2,6,5,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[4,6,2,5,1,3,7] => [4,2,6,3,7,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[4,6,2,5,1,7,3] => [4,2,6,3,7,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[4,6,2,5,3,1,7] => [4,2,6,3,5,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[4,6,2,5,3,7,1] => [4,2,6,3,5,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[4,6,2,5,7,1,3] => [4,2,6,3,1,7,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[4,6,2,5,7,3,1] => [4,2,6,3,1,5,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[4,6,2,7,1,3,5] => [4,2,6,1,7,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[4,6,2,7,1,5,3] => [4,2,6,1,7,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,6,2,7,3,1,5] => [4,2,6,1,5,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[4,6,2,7,3,5,1] => [4,2,6,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,6,2,7,5,1,3] => [4,2,6,1,3,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[4,6,2,7,5,3,1] => [4,2,6,1,3,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[4,6,3,1,2,5,7] => [4,2,5,7,6,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => 9
[4,6,3,1,2,7,5] => [4,2,5,7,6,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[4,6,3,1,5,2,7] => [4,2,5,7,3,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[4,6,3,1,5,7,2] => [4,2,5,7,3,1,6] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[4,6,3,1,7,2,5] => [4,2,5,7,1,6,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[4,6,3,1,7,5,2] => [4,2,5,7,1,3,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[4,6,3,2,5,1,7] => [4,2,5,6,3,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[4,6,3,2,5,7,1] => [4,2,5,6,3,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[4,6,3,2,7,1,5] => [4,2,5,6,1,7,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[4,6,3,2,7,5,1] => [4,2,5,6,1,3,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[4,6,3,5,1,2,7] => [4,2,5,3,7,6,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[4,6,3,5,1,7,2] => [4,2,5,3,7,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[4,6,3,5,2,1,7] => [4,2,5,3,6,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[4,6,3,5,2,7,1] => [4,2,5,3,6,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[4,6,3,5,7,1,2] => [4,2,5,3,1,7,6] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[4,6,3,5,7,2,1] => [4,2,5,3,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[4,6,3,7,1,2,5] => [4,2,5,1,7,6,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[4,6,3,7,1,5,2] => [4,2,5,1,7,3,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,6,3,7,2,1,5] => [4,2,5,1,6,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[4,6,3,7,2,5,1] => [4,2,5,1,6,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,6,3,7,5,1,2] => [4,2,5,1,3,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[4,6,3,7,5,2,1] => [4,2,5,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[4,6,5,1,2,3,7] => [4,2,3,7,6,5,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => 9
[4,6,5,1,2,7,3] => [4,2,3,7,6,1,5] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[4,6,5,1,3,2,7] => [4,2,3,7,5,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 11
[4,6,5,1,3,7,2] => [4,2,3,7,5,1,6] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[4,6,5,1,7,2,3] => [4,2,3,7,1,6,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[4,6,5,1,7,3,2] => [4,2,3,7,1,5,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[4,6,5,2,3,1,7] => [4,2,3,6,5,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 11
[4,6,5,2,3,7,1] => [4,2,3,6,5,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[4,6,5,2,7,1,3] => [4,2,3,6,1,7,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[4,6,5,2,7,3,1] => [4,2,3,6,1,5,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[4,6,5,3,7,1,2] => [4,2,3,5,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[4,6,5,3,7,2,1] => [4,2,3,5,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[4,6,5,7,1,2,3] => [4,2,3,1,7,6,5] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[4,6,5,7,1,3,2] => [4,2,3,1,7,5,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,6,5,7,2,1,3] => [4,2,3,1,6,7,5] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[4,6,5,7,2,3,1] => [4,2,3,1,6,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[4,6,5,7,3,1,2] => [4,2,3,1,5,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[4,6,5,7,3,2,1] => [4,2,3,1,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[4,6,7,1,2,3,5] => [4,2,1,7,6,5,3] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[4,6,7,1,2,5,3] => [4,2,1,7,6,3,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[4,6,7,1,3,2,5] => [4,2,1,7,5,6,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[4,6,7,1,3,5,2] => [4,2,1,7,5,3,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[4,6,7,1,5,2,3] => [4,2,1,7,3,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[4,6,7,1,5,3,2] => [4,2,1,7,3,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[4,6,7,2,1,3,5] => [4,2,1,6,7,5,3] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[4,6,7,2,1,5,3] => [4,2,1,6,7,3,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[4,6,7,2,3,1,5] => [4,2,1,6,5,7,3] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[4,6,7,2,3,5,1] => [4,2,1,6,5,3,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[4,6,7,2,5,1,3] => [4,2,1,6,3,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[4,6,7,2,5,3,1] => [4,2,1,6,3,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[4,6,7,3,1,2,5] => [4,2,1,5,7,6,3] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[4,6,7,3,1,5,2] => [4,2,1,5,7,3,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[4,6,7,3,2,1,5] => [4,2,1,5,6,7,3] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[4,6,7,3,2,5,1] => [4,2,1,5,6,3,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[4,6,7,3,5,1,2] => [4,2,1,5,3,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[4,6,7,3,5,2,1] => [4,2,1,5,3,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[4,6,7,5,1,2,3] => [4,2,1,3,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[4,6,7,5,1,3,2] => [4,2,1,3,7,5,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[4,6,7,5,2,1,3] => [4,2,1,3,6,7,5] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[4,6,7,5,2,3,1] => [4,2,1,3,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[4,6,7,5,3,1,2] => [4,2,1,3,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[4,6,7,5,3,2,1] => [4,2,1,3,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[4,7,1,2,3,5,6] => [4,1,7,6,5,3,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => 5
[4,7,1,2,3,6,5] => [4,1,7,6,5,2,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[4,7,1,2,5,3,6] => [4,1,7,6,3,5,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[4,7,1,2,5,6,3] => [4,1,7,6,3,2,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[4,7,1,2,6,3,5] => [4,1,7,6,2,5,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[4,7,1,2,6,5,3] => [4,1,7,6,2,3,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[4,7,1,3,2,5,6] => [4,1,7,5,6,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 8
[4,7,1,3,2,6,5] => [4,1,7,5,6,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[4,7,1,3,5,2,6] => [4,1,7,5,3,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[4,7,1,3,5,6,2] => [4,1,7,5,3,2,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[4,7,1,3,6,2,5] => [4,1,7,5,2,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[4,7,1,3,6,5,2] => [4,1,7,5,2,3,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[4,7,1,5,2,3,6] => [4,1,7,3,6,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[4,7,1,5,2,6,3] => [4,1,7,3,6,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[4,7,1,5,3,2,6] => [4,1,7,3,5,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[4,7,1,5,3,6,2] => [4,1,7,3,5,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[4,7,1,5,6,2,3] => [4,1,7,3,2,6,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[4,7,1,5,6,3,2] => [4,1,7,3,2,5,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[4,7,1,6,2,3,5] => [4,1,7,2,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[4,7,1,6,2,5,3] => [4,1,7,2,6,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[4,7,1,6,3,2,5] => [4,1,7,2,5,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[4,7,1,6,3,5,2] => [4,1,7,2,5,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[4,7,1,6,5,2,3] => [4,1,7,2,3,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[4,7,1,6,5,3,2] => [4,1,7,2,3,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[4,7,2,1,3,5,6] => [4,1,6,7,5,3,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => 9
[4,7,2,1,3,6,5] => [4,1,6,7,5,2,3] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[4,7,2,1,5,3,6] => [4,1,6,7,3,5,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[4,7,2,1,5,6,3] => [4,1,6,7,3,2,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[4,7,2,1,6,3,5] => [4,1,6,7,2,5,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[4,7,2,1,6,5,3] => [4,1,6,7,2,3,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[4,7,2,3,1,5,6] => [4,1,6,5,7,3,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 8
[4,7,2,3,1,6,5] => [4,1,6,5,7,2,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[4,7,2,3,5,1,6] => [4,1,6,5,3,7,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[4,7,2,3,5,6,1] => [4,1,6,5,3,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[4,7,2,3,6,1,5] => [4,1,6,5,2,7,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[4,7,2,3,6,5,1] => [4,1,6,5,2,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[4,7,2,5,1,3,6] => [4,1,6,3,7,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[4,7,2,5,1,6,3] => [4,1,6,3,7,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[4,7,2,5,3,1,6] => [4,1,6,3,5,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[4,7,2,5,3,6,1] => [4,1,6,3,5,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[4,7,2,5,6,1,3] => [4,1,6,3,2,7,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[4,7,2,5,6,3,1] => [4,1,6,3,2,5,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[4,7,2,6,1,3,5] => [4,1,6,2,7,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[4,7,2,6,1,5,3] => [4,1,6,2,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[4,7,2,6,3,1,5] => [4,1,6,2,5,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[4,7,2,6,3,5,1] => [4,1,6,2,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[4,7,2,6,5,1,3] => [4,1,6,2,3,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[4,7,2,6,5,3,1] => [4,1,6,2,3,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[4,7,3,1,2,5,6] => [4,1,5,7,6,3,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => 9
[4,7,3,1,2,6,5] => [4,1,5,7,6,2,3] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[4,7,3,1,5,2,6] => [4,1,5,7,3,6,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[4,7,3,1,5,6,2] => [4,1,5,7,3,2,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[4,7,3,1,6,2,5] => [4,1,5,7,2,6,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[4,7,3,1,6,5,2] => [4,1,5,7,2,3,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[4,7,3,2,5,1,6] => [4,1,5,6,3,7,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[4,7,3,2,5,6,1] => [4,1,5,6,3,2,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[4,7,3,2,6,1,5] => [4,1,5,6,2,7,3] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[4,7,3,2,6,5,1] => [4,1,5,6,2,3,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[4,7,3,5,1,2,6] => [4,1,5,3,7,6,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[4,7,3,5,1,6,2] => [4,1,5,3,7,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[4,7,3,5,2,1,6] => [4,1,5,3,6,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[4,7,3,5,2,6,1] => [4,1,5,3,6,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[4,7,3,5,6,1,2] => [4,1,5,3,2,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[4,7,3,5,6,2,1] => [4,1,5,3,2,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[4,7,3,6,1,2,5] => [4,1,5,2,7,6,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[4,7,3,6,1,5,2] => [4,1,5,2,7,3,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[4,7,3,6,2,1,5] => [4,1,5,2,6,7,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[4,7,3,6,2,5,1] => [4,1,5,2,6,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[4,7,3,6,5,1,2] => [4,1,5,2,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[4,7,3,6,5,2,1] => [4,1,5,2,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[4,7,5,1,2,3,6] => [4,1,3,7,6,5,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => 9
[4,7,5,1,2,6,3] => [4,1,3,7,6,2,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[4,7,5,1,3,2,6] => [4,1,3,7,5,6,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 11
[4,7,5,1,3,6,2] => [4,1,3,7,5,2,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[4,7,5,1,6,2,3] => [4,1,3,7,2,6,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[4,7,5,1,6,3,2] => [4,1,3,7,2,5,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[4,7,5,2,3,1,6] => [4,1,3,6,5,7,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 11
[4,7,5,2,3,6,1] => [4,1,3,6,5,2,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[4,7,5,2,6,1,3] => [4,1,3,6,2,7,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[4,7,5,2,6,3,1] => [4,1,3,6,2,5,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[4,7,5,3,6,1,2] => [4,1,3,5,2,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[4,7,5,3,6,2,1] => [4,1,3,5,2,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[4,7,5,6,1,2,3] => [4,1,3,2,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[4,7,5,6,1,3,2] => [4,1,3,2,7,5,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[4,7,5,6,2,1,3] => [4,1,3,2,6,7,5] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[4,7,5,6,2,3,1] => [4,1,3,2,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[4,7,5,6,3,1,2] => [4,1,3,2,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[4,7,5,6,3,2,1] => [4,1,3,2,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[4,7,6,1,2,3,5] => [4,1,2,7,6,5,3] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => 9
[4,7,6,1,2,5,3] => [4,1,2,7,6,3,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[4,7,6,1,3,5,2] => [4,1,2,7,5,3,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[4,7,6,2,3,5,1] => [4,1,2,6,5,3,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[5,6,1,2,3,4,7] => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => 5
[5,6,1,2,3,7,4] => [3,2,7,6,5,1,4] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[5,6,1,2,4,3,7] => [3,2,7,6,4,5,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[5,6,1,2,4,7,3] => [3,2,7,6,4,1,5] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[5,6,1,2,7,3,4] => [3,2,7,6,1,5,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[5,6,1,2,7,4,3] => [3,2,7,6,1,4,5] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[5,6,1,3,2,4,7] => [3,2,7,5,6,4,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 8
[5,6,1,3,2,7,4] => [3,2,7,5,6,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[5,6,1,3,4,2,7] => [3,2,7,5,4,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[5,6,1,3,4,7,2] => [3,2,7,5,4,1,6] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[5,6,1,3,7,2,4] => [3,2,7,5,1,6,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[5,6,1,3,7,4,2] => [3,2,7,5,1,4,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[5,6,1,4,2,3,7] => [3,2,7,4,6,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[5,6,1,4,2,7,3] => [3,2,7,4,6,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[5,6,1,4,3,2,7] => [3,2,7,4,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[5,6,1,4,3,7,2] => [3,2,7,4,5,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[5,6,1,4,7,2,3] => [3,2,7,4,1,6,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[5,6,1,4,7,3,2] => [3,2,7,4,1,5,6] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[5,6,1,7,2,3,4] => [3,2,7,1,6,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[5,6,1,7,2,4,3] => [3,2,7,1,6,4,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[5,6,1,7,3,2,4] => [3,2,7,1,5,6,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[5,6,1,7,3,4,2] => [3,2,7,1,5,4,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[5,6,1,7,4,2,3] => [3,2,7,1,4,6,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[5,6,1,7,4,3,2] => [3,2,7,1,4,5,6] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[5,6,2,1,3,4,7] => [3,2,6,7,5,4,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => 9
[5,6,2,1,3,7,4] => [3,2,6,7,5,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[5,6,2,1,4,3,7] => [3,2,6,7,4,5,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[5,6,2,1,4,7,3] => [3,2,6,7,4,1,5] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[5,6,2,1,7,3,4] => [3,2,6,7,1,5,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[5,6,2,1,7,4,3] => [3,2,6,7,1,4,5] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[5,6,2,3,1,4,7] => [3,2,6,5,7,4,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => 8
[5,6,2,3,1,7,4] => [3,2,6,5,7,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[5,6,2,3,4,1,7] => [3,2,6,5,4,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => 7
[5,6,2,3,4,7,1] => [3,2,6,5,4,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => 6
[5,6,2,3,7,1,4] => [3,2,6,5,1,7,4] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[5,6,2,3,7,4,1] => [3,2,6,5,1,4,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[5,6,2,4,1,3,7] => [3,2,6,4,7,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[5,6,2,4,1,7,3] => [3,2,6,4,7,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[5,6,2,4,3,1,7] => [3,2,6,4,5,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[5,6,2,4,3,7,1] => [3,2,6,4,5,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[5,6,2,4,7,1,3] => [3,2,6,4,1,7,5] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[5,6,2,4,7,3,1] => [3,2,6,4,1,5,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[5,6,2,7,1,3,4] => [3,2,6,1,7,5,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[5,6,2,7,1,4,3] => [3,2,6,1,7,4,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[5,6,2,7,3,1,4] => [3,2,6,1,5,7,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[5,6,2,7,3,4,1] => [3,2,6,1,5,4,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[5,6,2,7,4,1,3] => [3,2,6,1,4,7,5] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[5,6,2,7,4,3,1] => [3,2,6,1,4,5,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[5,6,3,1,2,4,7] => [3,2,5,7,6,4,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => 9
[5,6,3,1,2,7,4] => [3,2,5,7,6,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[5,6,3,1,4,2,7] => [3,2,5,7,4,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[5,6,3,1,4,7,2] => [3,2,5,7,4,1,6] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[5,6,3,1,7,2,4] => [3,2,5,7,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[5,6,3,1,7,4,2] => [3,2,5,7,1,4,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[5,6,3,2,4,1,7] => [3,2,5,6,4,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => 11
[5,6,3,2,4,7,1] => [3,2,5,6,4,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => 10
[5,6,3,2,7,1,4] => [3,2,5,6,1,7,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[5,6,3,2,7,4,1] => [3,2,5,6,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[5,6,3,4,1,2,7] => [3,2,5,4,7,6,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => 8
[5,6,3,4,1,7,2] => [3,2,5,4,7,1,6] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[5,6,3,4,2,1,7] => [3,2,5,4,6,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => 10
[5,6,3,4,2,7,1] => [3,2,5,4,6,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => 9
[5,6,3,4,7,1,2] => [3,2,5,4,1,7,6] => [[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => 7
[5,6,3,4,7,2,1] => [3,2,5,4,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => 8
[5,6,3,7,1,2,4] => [3,2,5,1,7,6,4] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[5,6,3,7,1,4,2] => [3,2,5,1,7,4,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[5,6,3,7,2,1,4] => [3,2,5,1,6,7,4] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[5,6,3,7,2,4,1] => [3,2,5,1,6,4,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[5,6,3,7,4,1,2] => [3,2,5,1,4,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[5,6,3,7,4,2,1] => [3,2,5,1,4,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[5,6,4,1,2,3,7] => [3,2,4,7,6,5,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => 9
[5,6,4,1,2,7,3] => [3,2,4,7,6,1,5] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[5,6,4,1,3,2,7] => [3,2,4,7,5,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 11
[5,6,4,1,3,7,2] => [3,2,4,7,5,1,6] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[5,6,4,1,7,2,3] => [3,2,4,7,1,6,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[5,6,4,1,7,3,2] => [3,2,4,7,1,5,6] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[5,6,4,2,3,1,7] => [3,2,4,6,5,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => 11
[5,6,4,2,3,7,1] => [3,2,4,6,5,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => 10
[5,6,4,2,7,1,3] => [3,2,4,6,1,7,5] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[5,6,4,2,7,3,1] => [3,2,4,6,1,5,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[5,6,4,3,7,1,2] => [3,2,4,5,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => 11
[5,6,4,3,7,2,1] => [3,2,4,5,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => 12
[5,6,4,7,1,2,3] => [3,2,4,1,7,6,5] => [[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => 8
[5,6,4,7,1,3,2] => [3,2,4,1,7,5,6] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[5,6,4,7,2,1,3] => [3,2,4,1,6,7,5] => [[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => 10
[5,6,4,7,2,3,1] => [3,2,4,1,6,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => 9
[5,6,4,7,3,1,2] => [3,2,4,1,5,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => 10
[5,6,4,7,3,2,1] => [3,2,4,1,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => 11
[5,6,7,1,2,3,4] => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => 4
[5,6,7,1,2,4,3] => [3,2,1,7,6,4,5] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[5,6,7,1,3,2,4] => [3,2,1,7,5,6,4] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[5,6,7,1,3,4,2] => [3,2,1,7,5,4,6] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[5,6,7,1,4,2,3] => [3,2,1,7,4,6,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[5,6,7,1,4,3,2] => [3,2,1,7,4,5,6] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[5,6,7,2,1,3,4] => [3,2,1,6,7,5,4] => [[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => 7
[5,6,7,2,1,4,3] => [3,2,1,6,7,4,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[5,6,7,2,3,1,4] => [3,2,1,6,5,7,4] => [[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => 6
[5,6,7,2,3,4,1] => [3,2,1,6,5,4,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => 5
[5,6,7,2,4,1,3] => [3,2,1,6,4,7,5] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[5,6,7,2,4,3,1] => [3,2,1,6,4,5,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[5,6,7,3,1,2,4] => [3,2,1,5,7,6,4] => [[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => 7
[5,6,7,3,1,4,2] => [3,2,1,5,7,4,6] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[5,6,7,3,2,1,4] => [3,2,1,5,6,7,4] => [[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => 9
[5,6,7,3,2,4,1] => [3,2,1,5,6,4,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => 8
[5,6,7,3,4,1,2] => [3,2,1,5,4,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => 6
[5,6,7,3,4,2,1] => [3,2,1,5,4,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => 7
[5,6,7,4,1,2,3] => [3,2,1,4,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => 7
[5,6,7,4,1,3,2] => [3,2,1,4,7,5,6] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[5,6,7,4,2,1,3] => [3,2,1,4,6,7,5] => [[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => 9
[5,6,7,4,2,3,1] => [3,2,1,4,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => 8
[5,6,7,4,3,1,2] => [3,2,1,4,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => 9
[5,6,7,4,3,2,1] => [3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => 10
[5,7,1,2,3,4,6] => [3,1,7,6,5,4,2] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => 5
[5,7,1,2,3,6,4] => [3,1,7,6,5,2,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[5,7,1,2,4,3,6] => [3,1,7,6,4,5,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[5,7,1,2,4,6,3] => [3,1,7,6,4,2,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[5,7,1,2,6,3,4] => [3,1,7,6,2,5,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[5,7,1,2,6,4,3] => [3,1,7,6,2,4,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[5,7,1,3,2,4,6] => [3,1,7,5,6,4,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 8
[5,7,1,3,2,6,4] => [3,1,7,5,6,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[5,7,1,3,4,2,6] => [3,1,7,5,4,6,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[5,7,1,3,4,6,2] => [3,1,7,5,4,2,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[5,7,1,3,6,2,4] => [3,1,7,5,2,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[5,7,1,3,6,4,2] => [3,1,7,5,2,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[5,7,1,4,2,3,6] => [3,1,7,4,6,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[5,7,1,4,2,6,3] => [3,1,7,4,6,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[5,7,1,4,3,2,6] => [3,1,7,4,5,6,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[5,7,1,4,3,6,2] => [3,1,7,4,5,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[5,7,1,4,6,2,3] => [3,1,7,4,2,6,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[5,7,1,4,6,3,2] => [3,1,7,4,2,5,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[5,7,1,6,2,3,4] => [3,1,7,2,6,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[5,7,1,6,2,4,3] => [3,1,7,2,6,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[5,7,1,6,3,2,4] => [3,1,7,2,5,6,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[5,7,1,6,3,4,2] => [3,1,7,2,5,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[5,7,1,6,4,2,3] => [3,1,7,2,4,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[5,7,1,6,4,3,2] => [3,1,7,2,4,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[5,7,2,1,3,4,6] => [3,1,6,7,5,4,2] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => 9
[5,7,2,1,3,6,4] => [3,1,6,7,5,2,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[5,7,2,1,4,3,6] => [3,1,6,7,4,5,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[5,7,2,1,4,6,3] => [3,1,6,7,4,2,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[5,7,2,1,6,3,4] => [3,1,6,7,2,5,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[5,7,2,1,6,4,3] => [3,1,6,7,2,4,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[5,7,2,3,1,4,6] => [3,1,6,5,7,4,2] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 8
[5,7,2,3,1,6,4] => [3,1,6,5,7,2,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[5,7,2,3,4,1,6] => [3,1,6,5,4,7,2] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[5,7,2,3,4,6,1] => [3,1,6,5,4,2,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[5,7,2,3,6,1,4] => [3,1,6,5,2,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[5,7,2,3,6,4,1] => [3,1,6,5,2,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[5,7,2,4,1,3,6] => [3,1,6,4,7,5,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[5,7,2,4,1,6,3] => [3,1,6,4,7,2,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[5,7,2,4,3,1,6] => [3,1,6,4,5,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[5,7,2,4,3,6,1] => [3,1,6,4,5,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[5,7,2,4,6,1,3] => [3,1,6,4,2,7,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[5,7,2,4,6,3,1] => [3,1,6,4,2,5,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[5,7,2,6,1,3,4] => [3,1,6,2,7,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[5,7,2,6,1,4,3] => [3,1,6,2,7,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[5,7,2,6,3,1,4] => [3,1,6,2,5,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[5,7,2,6,3,4,1] => [3,1,6,2,5,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[5,7,2,6,4,1,3] => [3,1,6,2,4,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[5,7,2,6,4,3,1] => [3,1,6,2,4,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[5,7,3,1,2,4,6] => [3,1,5,7,6,4,2] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => 9
[5,7,3,1,2,6,4] => [3,1,5,7,6,2,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[5,7,3,1,4,2,6] => [3,1,5,7,4,6,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[5,7,3,1,4,6,2] => [3,1,5,7,4,2,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[5,7,3,1,6,2,4] => [3,1,5,7,2,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[5,7,3,1,6,4,2] => [3,1,5,7,2,4,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[5,7,3,2,4,1,6] => [3,1,5,6,4,7,2] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[5,7,3,2,4,6,1] => [3,1,5,6,4,2,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[5,7,3,2,6,1,4] => [3,1,5,6,2,7,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[5,7,3,2,6,4,1] => [3,1,5,6,2,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[5,7,3,4,1,2,6] => [3,1,5,4,7,6,2] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[5,7,3,4,1,6,2] => [3,1,5,4,7,2,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[5,7,3,4,2,1,6] => [3,1,5,4,6,7,2] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[5,7,3,4,2,6,1] => [3,1,5,4,6,2,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[5,7,3,4,6,1,2] => [3,1,5,4,2,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[5,7,3,4,6,2,1] => [3,1,5,4,2,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[5,7,3,6,1,2,4] => [3,1,5,2,7,6,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[5,7,3,6,1,4,2] => [3,1,5,2,7,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[5,7,3,6,2,1,4] => [3,1,5,2,6,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[5,7,3,6,2,4,1] => [3,1,5,2,6,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[5,7,3,6,4,1,2] => [3,1,5,2,4,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[5,7,3,6,4,2,1] => [3,1,5,2,4,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[5,7,4,1,2,3,6] => [3,1,4,7,6,5,2] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => 9
[5,7,4,1,2,6,3] => [3,1,4,7,6,2,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[5,7,4,1,3,2,6] => [3,1,4,7,5,6,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 11
[5,7,4,1,3,6,2] => [3,1,4,7,5,2,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[5,7,4,1,6,2,3] => [3,1,4,7,2,6,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[5,7,4,1,6,3,2] => [3,1,4,7,2,5,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[5,7,4,2,3,1,6] => [3,1,4,6,5,7,2] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 11
[5,7,4,2,3,6,1] => [3,1,4,6,5,2,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[5,7,4,2,6,1,3] => [3,1,4,6,2,7,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[5,7,4,2,6,3,1] => [3,1,4,6,2,5,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[5,7,4,3,6,1,2] => [3,1,4,5,2,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[5,7,4,3,6,2,1] => [3,1,4,5,2,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[5,7,4,6,1,2,3] => [3,1,4,2,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[5,7,4,6,1,3,2] => [3,1,4,2,7,5,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[5,7,4,6,2,1,3] => [3,1,4,2,6,7,5] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[5,7,4,6,2,3,1] => [3,1,4,2,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[5,7,4,6,3,1,2] => [3,1,4,2,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[5,7,4,6,3,2,1] => [3,1,4,2,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[5,7,6,1,2,3,4] => [3,1,2,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => 9
[5,7,6,1,2,4,3] => [3,1,2,7,6,4,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[5,7,6,1,3,4,2] => [3,1,2,7,5,4,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[5,7,6,2,3,4,1] => [3,1,2,6,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[6,7,1,2,3,4,5] => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => 5
[6,7,1,2,3,5,4] => [2,1,7,6,5,3,4] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[6,7,1,2,4,3,5] => [2,1,7,6,4,5,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[6,7,1,2,4,5,3] => [2,1,7,6,4,3,5] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[6,7,1,2,5,3,4] => [2,1,7,6,3,5,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[6,7,1,2,5,4,3] => [2,1,7,6,3,4,5] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[6,7,1,3,2,4,5] => [2,1,7,5,6,4,3] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 8
[6,7,1,3,2,5,4] => [2,1,7,5,6,3,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[6,7,1,3,4,2,5] => [2,1,7,5,4,6,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[6,7,1,3,4,5,2] => [2,1,7,5,4,3,6] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[6,7,1,3,5,2,4] => [2,1,7,5,3,6,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[6,7,1,3,5,4,2] => [2,1,7,5,3,4,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[6,7,1,4,2,3,5] => [2,1,7,4,6,5,3] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[6,7,1,4,2,5,3] => [2,1,7,4,6,3,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[6,7,1,4,3,2,5] => [2,1,7,4,5,6,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[6,7,1,4,3,5,2] => [2,1,7,4,5,3,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[6,7,1,4,5,2,3] => [2,1,7,4,3,6,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[6,7,1,4,5,3,2] => [2,1,7,4,3,5,6] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[6,7,1,5,2,3,4] => [2,1,7,3,6,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[6,7,1,5,2,4,3] => [2,1,7,3,6,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[6,7,1,5,3,2,4] => [2,1,7,3,5,6,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[6,7,1,5,3,4,2] => [2,1,7,3,5,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[6,7,1,5,4,2,3] => [2,1,7,3,4,6,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[6,7,1,5,4,3,2] => [2,1,7,3,4,5,6] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[6,7,2,1,3,4,5] => [2,1,6,7,5,4,3] => [[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => 9
[6,7,2,1,3,5,4] => [2,1,6,7,5,3,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[6,7,2,1,4,3,5] => [2,1,6,7,4,5,3] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[6,7,2,1,4,5,3] => [2,1,6,7,4,3,5] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[6,7,2,1,5,3,4] => [2,1,6,7,3,5,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[6,7,2,1,5,4,3] => [2,1,6,7,3,4,5] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[6,7,2,3,1,4,5] => [2,1,6,5,7,4,3] => [[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => 8
[6,7,2,3,1,5,4] => [2,1,6,5,7,3,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[6,7,2,3,4,1,5] => [2,1,6,5,4,7,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => 7
[6,7,2,3,4,5,1] => [2,1,6,5,4,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => 6
[6,7,2,3,5,1,4] => [2,1,6,5,3,7,4] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[6,7,2,3,5,4,1] => [2,1,6,5,3,4,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[6,7,2,4,1,3,5] => [2,1,6,4,7,5,3] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[6,7,2,4,1,5,3] => [2,1,6,4,7,3,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[6,7,2,4,3,1,5] => [2,1,6,4,5,7,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[6,7,2,4,3,5,1] => [2,1,6,4,5,3,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[6,7,2,4,5,1,3] => [2,1,6,4,3,7,5] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[6,7,2,4,5,3,1] => [2,1,6,4,3,5,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[6,7,2,5,1,3,4] => [2,1,6,3,7,5,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[6,7,2,5,1,4,3] => [2,1,6,3,7,4,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[6,7,2,5,3,1,4] => [2,1,6,3,5,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[6,7,2,5,3,4,1] => [2,1,6,3,5,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[6,7,2,5,4,1,3] => [2,1,6,3,4,7,5] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[6,7,2,5,4,3,1] => [2,1,6,3,4,5,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[6,7,3,1,2,4,5] => [2,1,5,7,6,4,3] => [[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => 9
[6,7,3,1,2,5,4] => [2,1,5,7,6,3,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[6,7,3,1,4,2,5] => [2,1,5,7,4,6,3] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[6,7,3,1,4,5,2] => [2,1,5,7,4,3,6] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[6,7,3,1,5,2,4] => [2,1,5,7,3,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[6,7,3,1,5,4,2] => [2,1,5,7,3,4,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[6,7,3,2,4,1,5] => [2,1,5,6,4,7,3] => [[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => 11
[6,7,3,2,4,5,1] => [2,1,5,6,4,3,7] => [[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => 10
[6,7,3,2,5,1,4] => [2,1,5,6,3,7,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[6,7,3,2,5,4,1] => [2,1,5,6,3,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[6,7,3,4,1,2,5] => [2,1,5,4,7,6,3] => [[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => 8
[6,7,3,4,1,5,2] => [2,1,5,4,7,3,6] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[6,7,3,4,2,1,5] => [2,1,5,4,6,7,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => 10
[6,7,3,4,2,5,1] => [2,1,5,4,6,3,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => 9
[6,7,3,4,5,1,2] => [2,1,5,4,3,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => 7
[6,7,3,4,5,2,1] => [2,1,5,4,3,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => 8
[6,7,3,5,1,2,4] => [2,1,5,3,7,6,4] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[6,7,3,5,1,4,2] => [2,1,5,3,7,4,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[6,7,3,5,2,1,4] => [2,1,5,3,6,7,4] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[6,7,3,5,2,4,1] => [2,1,5,3,6,4,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[6,7,3,5,4,1,2] => [2,1,5,3,4,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[6,7,3,5,4,2,1] => [2,1,5,3,4,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[6,7,4,1,2,3,5] => [2,1,4,7,6,5,3] => [[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => 9
[6,7,4,1,2,5,3] => [2,1,4,7,6,3,5] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[6,7,4,1,3,2,5] => [2,1,4,7,5,6,3] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 11
[6,7,4,1,3,5,2] => [2,1,4,7,5,3,6] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[6,7,4,1,5,2,3] => [2,1,4,7,3,6,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[6,7,4,1,5,3,2] => [2,1,4,7,3,5,6] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[6,7,4,2,3,1,5] => [2,1,4,6,5,7,3] => [[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => 11
[6,7,4,2,3,5,1] => [2,1,4,6,5,3,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => 10
[6,7,4,2,5,1,3] => [2,1,4,6,3,7,5] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[6,7,4,2,5,3,1] => [2,1,4,6,3,5,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[6,7,4,3,5,1,2] => [2,1,4,5,3,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => 11
[6,7,4,3,5,2,1] => [2,1,4,5,3,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => 12
[6,7,4,5,1,2,3] => [2,1,4,3,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => 8
[6,7,4,5,1,3,2] => [2,1,4,3,7,5,6] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[6,7,4,5,2,1,3] => [2,1,4,3,6,7,5] => [[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => 10
[6,7,4,5,2,3,1] => [2,1,4,3,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => 9
[6,7,4,5,3,1,2] => [2,1,4,3,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => 10
[6,7,4,5,3,2,1] => [2,1,4,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => 11
[6,7,5,1,2,3,4] => [2,1,3,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => 9
[6,7,5,1,2,4,3] => [2,1,3,7,6,4,5] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[6,7,5,1,3,4,2] => [2,1,3,7,5,4,6] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
[6,7,5,2,3,4,1] => [2,1,3,6,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => 10
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,2,2,1 1,3,5,6,5,3,1 1,4,9,15,20,22,20,15,9,4,1 1,5,14,29,49,71,90,101,101,90,71,49,29,14,5,1
$F_{1} = 1$
$F_{2} = 1 + q$
$F_{3} = 1 + 2\ q + 2\ q^{2} + q^{3}$
$F_{4} = 1 + 3\ q + 5\ q^{2} + 6\ q^{3} + 5\ q^{4} + 3\ q^{5} + q^{6}$
$F_{5} = 1 + 4\ q + 9\ q^{2} + 15\ q^{3} + 20\ q^{4} + 22\ q^{5} + 20\ q^{6} + 15\ q^{7} + 9\ q^{8} + 4\ q^{9} + q^{10}$
$F_{6} = 1 + 5\ q + 14\ q^{2} + 29\ q^{3} + 49\ q^{4} + 71\ q^{5} + 90\ q^{6} + 101\ q^{7} + 101\ q^{8} + 90\ q^{9} + 71\ q^{10} + 49\ q^{11} + 29\ q^{12} + 14\ q^{13} + 5\ q^{14} + q^{15}$
Description
The disorder of a permutation.
Consider a permutation $\pi = [\pi_1,\ldots,\pi_n]$ and cyclically scanning $\pi$ from left to right and remove the elements $1$ through $n$ on this order one after the other. The disorder of $\pi$ is defined to be the number of times a position was not removed in this process.
For example, the disorder of $[3,5,2,1,4]$ is $8$ since on the first scan, 3,5,2 and 4 are not removed, on the second, 3,5 and 4, and on the third and last scan, 5 is once again not removed.
Consider a permutation $\pi = [\pi_1,\ldots,\pi_n]$ and cyclically scanning $\pi$ from left to right and remove the elements $1$ through $n$ on this order one after the other. The disorder of $\pi$ is defined to be the number of times a position was not removed in this process.
For example, the disorder of $[3,5,2,1,4]$ is $8$ since on the first scan, 3,5,2 and 4 are not removed, on the second, 3,5 and 4, and on the third and last scan, 5 is once again not removed.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
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.
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.
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.
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